From b6c89865c6f43a1512829766f89141fcd4f866b0 Mon Sep 17 00:00:00 2001
From: davidnevadoc <davidnevadoc@users.noreply.github.com>
Date: Tue, 11 Jun 2024 09:17:23 +0000
Subject: [PATCH] deploy: 32599e898a62b21647c55e93f689e454b093c6fd
---
halo2_backend/plonk/prover/index.html | 2 +-
halo2_backend/plonk/prover/struct.Prover.html | 20 +++++++-------
.../plonk/prover/struct.ProverSingle.html | 12 ++++-----
.../plonk/verifier/fn.verify_proof.html | 4 +--
.../verifier/fn.verify_proof_single.html | 2 +-
halo2_backend/plonk/verifier/index.html | 2 +-
.../plonk/verifier/struct.BatchVerifier.html | 4 +--
.../circuit/fn.compile_circuit.html | 2 +-
.../circuit/layouter/enum.RegionColumn.html | 6 ++---
.../circuit/layouter/struct.RegionShape.html | 2 +-
.../layouter/trait.RegionLayouter.html | 4 +--
halo2_frontend/circuit/struct.Cell.html | 4 +--
halo2_frontend/circuit/struct.Region.html | 2 +-
.../circuit/struct.WitnessCalculator.html | 2 +-
halo2_frontend/dev/enum.VerifyFailure.html | 4 +--
.../dev/metadata/struct.Column.html | 16 ++++++------
halo2_frontend/dev/struct.MockProver.html | 6 ++---
.../struct.ConstraintSystem.html | 16 ++++++------
.../constraint_system/struct.VirtualCell.html | 6 ++---
.../struct.VirtualCells.html | 10 +++----
.../circuit/expression/enum.Expression.html | 2 +-
.../expression/struct.AdviceQuery.html | 6 ++---
.../circuit/expression/struct.Challenge.html | 2 +-
.../circuit/expression/struct.Column.html | 6 ++---
.../circuit/expression/struct.FixedQuery.html | 6 ++---
.../expression/struct.InstanceQuery.html | 6 ++---
.../plonk/circuit/struct.Advice.html | 2 +-
.../plonk/circuit/struct.Fixed.html | 2 +-
.../plonk/circuit/struct.Instance.html | 2 +-
.../plonk/circuit/trait.Assignment.html | 12 ++++-----
.../plonk/circuit/trait.ColumnType.html | 8 +++---
halo2_frontend/plonk/error/enum.Error.html | 4 +--
.../plonk/permutation/struct.Argument.html | 2 +-
halo2_proofs/plonk/fn.create_proof.html | 4 +--
.../plonk/fn.create_proof_with_engine.html | 4 +--
halo2_proofs/plonk/fn.verify_proof.html | 2 +-
search-index.js | 6 ++---
src/halo2_backend/plonk/prover.rs.html | 26 ++++---------------
src/halo2_backend/plonk/verifier.rs.html | 14 +++++++---
.../plonk/verifier/batch.rs.html | 18 +------------
src/halo2_frontend/circuit.rs.html | 6 ++---
src/halo2_proofs/plonk/prover.rs.html | 14 ++++++----
trait.impl/core/convert/trait.From.js | 2 +-
trait.impl/core/convert/trait.TryFrom.js | 2 +-
44 files changed, 131 insertions(+), 153 deletions(-)
diff --git a/halo2_backend/plonk/prover/index.html b/halo2_backend/plonk/prover/index.html
index cd7c13b903..460c9ccd12 100644
--- a/halo2_backend/plonk/prover/index.html
+++ b/halo2_backend/plonk/prover/index.html
@@ -14,7 +14,7 @@
});
</script>
-</head><body class="rustdoc mod"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle" title="show sidebar"></button></nav><nav class="sidebar"><div class="sidebar-crate"><h2><a href="../../../halo2_backend/index.html">halo2_backend</a><span class="version">0.3.0</span></h2></div><h2 class="location"><a href="#">Module prover</a></h2><div class="sidebar-elems"><section><ul class="block"><li><a href="#structs">Structs</a></li></ul></section><h2><a href="../index.html">In halo2_backend::plonk</a></h2></div></nav><div class="sidebar-resizer"></div><main><div class="width-limiter"><rustdoc-search></rustdoc-search><section id="main-content" class="content"><div class="main-heading"><h1>Module <a href="../../index.html">halo2_backend</a>::<wbr><a href="../index.html">plonk</a>::<wbr><a class="mod" href="#">prover</a><button id="copy-path" title="Copy item path to clipboard">Copy item path</button></h1><span class="out-of-band"><a class="src" href="../../../src/halo2_backend/plonk/prover.rs.html#1-920">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>−</span>]</button></span></div><details class="toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>Generate a proof</p>
+</head><body class="rustdoc mod"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle" title="show sidebar"></button></nav><nav class="sidebar"><div class="sidebar-crate"><h2><a href="../../../halo2_backend/index.html">halo2_backend</a><span class="version">0.3.0</span></h2></div><h2 class="location"><a href="#">Module prover</a></h2><div class="sidebar-elems"><section><ul class="block"><li><a href="#structs">Structs</a></li></ul></section><h2><a href="../index.html">In halo2_backend::plonk</a></h2></div></nav><div class="sidebar-resizer"></div><main><div class="width-limiter"><rustdoc-search></rustdoc-search><section id="main-content" class="content"><div class="main-heading"><h1>Module <a href="../../index.html">halo2_backend</a>::<wbr><a href="../index.html">plonk</a>::<wbr><a class="mod" href="#">prover</a><button id="copy-path" title="Copy item path to clipboard">Copy item path</button></h1><span class="out-of-band"><a class="src" href="../../../src/halo2_backend/plonk/prover.rs.html#1-912">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>−</span>]</button></span></div><details class="toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>Generate a proof</p>
</div></details><h2 id="structs" class="section-header">Structs<a href="#structs" class="anchor">§</a></h2><ul class="item-table"><li><div class="item-name"><a class="struct" href="struct.Prover.html" title="struct halo2_backend::plonk::prover::Prover">Prover</a></div><div class="desc docblock-short">The prover object used to create proofs interactively by passing the witnesses to commit at
each phase. This supports batch proving.</div></li><li><div class="item-name"><a class="struct" href="struct.ProverSingle.html" title="struct halo2_backend::plonk::prover::ProverSingle">ProverSingle</a></div><div class="desc docblock-short">The prover object used to create proofs interactively by passing the witnesses to commit at
each phase. This works for a single proof. This is a wrapper over Prover.</div></li></ul></section></div></main></body></html>
\ No newline at end of file
diff --git a/halo2_backend/plonk/prover/struct.Prover.html b/halo2_backend/plonk/prover/struct.Prover.html
index ba66bb8045..eb7a5e5506 100644
--- a/halo2_backend/plonk/prover/struct.Prover.html
+++ b/halo2_backend/plonk/prover/struct.Prover.html
@@ -14,24 +14,24 @@
});
</script>
-</head><body class="rustdoc struct"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle" title="show sidebar"></button></nav><nav class="sidebar"><div class="sidebar-crate"><h2><a href="../../../halo2_backend/index.html">halo2_backend</a><span class="version">0.3.0</span></h2></div><h2 class="location"><a href="#">Prover</a></h2><div class="sidebar-elems"><section><h3><a href="#implementations">Methods</a></h3><ul class="block method"><li><a href="#method.commit_phase">commit_phase</a></li><li><a href="#method.create_proof">create_proof</a></li><li><a href="#method.new">new</a></li><li><a href="#method.new_with_engine">new_with_engine</a></li><li><a href="#method.phases">phases</a></li></ul><h3><a href="#trait-implementations">Trait Implementations</a></h3><ul class="block trait-implementation"><li><a href="#impl-Debug-for-Prover%3C'a,+'params,+Scheme,+P,+E,+R,+T,+M%3E">Debug</a></li></ul><h3><a href="#synthetic-implementations">Auto Trait Implementations</a></h3><ul class="block synthetic-implementation"><li><a href="#impl-UnwindSafe-for-Prover%3C'a,+'params,+Scheme,+P,+E,+R,+T,+M%3E">!UnwindSafe</a></li><li><a href="#impl-Freeze-for-Prover%3C'a,+'params,+Scheme,+P,+E,+R,+T,+M%3E">Freeze</a></li><li><a href="#impl-RefUnwindSafe-for-Prover%3C'a,+'params,+Scheme,+P,+E,+R,+T,+M%3E">RefUnwindSafe</a></li><li><a href="#impl-Send-for-Prover%3C'a,+'params,+Scheme,+P,+E,+R,+T,+M%3E">Send</a></li><li><a href="#impl-Sync-for-Prover%3C'a,+'params,+Scheme,+P,+E,+R,+T,+M%3E">Sync</a></li><li><a href="#impl-Unpin-for-Prover%3C'a,+'params,+Scheme,+P,+E,+R,+T,+M%3E">Unpin</a></li></ul><h3><a href="#blanket-implementations">Blanket Implementations</a></h3><ul class="block blanket-implementation"><li><a href="#impl-Any-for-T">Any</a></li><li><a href="#impl-Borrow%3CT%3E-for-T">Borrow<T></a></li><li><a href="#impl-BorrowMut%3CT%3E-for-T">BorrowMut<T></a></li><li><a href="#impl-Conv-for-T">Conv</a></li><li><a href="#impl-FmtForward-for-T">FmtForward</a></li><li><a href="#impl-From%3CT%3E-for-T">From<T></a></li><li><a href="#impl-Instrument-for-T">Instrument</a></li><li><a href="#impl-Into%3CU%3E-for-T">Into<U></a></li><li><a href="#impl-IntoEither-for-T">IntoEither</a></li><li><a href="#impl-Pipe-for-T">Pipe</a></li><li><a href="#impl-Pointable-for-T">Pointable</a></li><li><a href="#impl-Same-for-T">Same</a></li><li><a href="#impl-Tap-for-T">Tap</a></li><li><a href="#impl-TryConv-for-T">TryConv</a></li><li><a href="#impl-TryFrom%3CU%3E-for-T">TryFrom<U></a></li><li><a href="#impl-TryInto%3CU%3E-for-T">TryInto<U></a></li><li><a href="#impl-VZip%3CV%3E-for-T">VZip<V></a></li><li><a href="#impl-WithSubscriber-for-T">WithSubscriber</a></li></ul></section><h2><a href="index.html">In halo2_backend::plonk::prover</a></h2></div></nav><div class="sidebar-resizer"></div><main><div class="width-limiter"><rustdoc-search></rustdoc-search><section id="main-content" class="content"><div class="main-heading"><h1>Struct <a href="../../index.html">halo2_backend</a>::<wbr><a href="../index.html">plonk</a>::<wbr><a href="index.html">prover</a>::<wbr><a class="struct" href="#">Prover</a><button id="copy-path" title="Copy item path to clipboard">Copy item path</button></h1><span class="out-of-band"><a class="src" href="../../../src/halo2_backend/plonk/prover.rs.html#130-160">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>−</span>]</button></span></div><pre class="rust item-decl"><code>pub struct Prover<'a, 'params, Scheme: <a class="trait" href="../../poly/commitment/trait.CommitmentScheme.html" title="trait halo2_backend::poly::commitment::CommitmentScheme">CommitmentScheme</a>, P: <a class="trait" href="../../poly/commitment/trait.Prover.html" title="trait halo2_backend::poly::commitment::Prover">Prover</a><'params, Scheme>, E: <a class="trait" href="../../transcript/trait.EncodedChallenge.html" title="trait halo2_backend::transcript::EncodedChallenge">EncodedChallenge</a><Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Curve" title="type halo2_backend::poly::commitment::CommitmentScheme::Curve">Curve</a>>, R: <a class="trait" href="https://rust-random.github.io/rand/rand_core/trait.RngCore.html" title="trait rand_core::RngCore">RngCore</a>, T: <a class="trait" href="../../transcript/trait.TranscriptWrite.html" title="trait halo2_backend::transcript::TranscriptWrite">TranscriptWrite</a><Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Curve" title="type halo2_backend::poly::commitment::CommitmentScheme::Curve">Curve</a>, E>, M: MsmAccel<Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Curve" title="type halo2_backend::poly::commitment::CommitmentScheme::Curve">Curve</a>>> { <span class="comment">/* private fields */</span> }</code></pre><details class="toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>The prover object used to create proofs interactively by passing the witnesses to commit at
+</head><body class="rustdoc struct"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle" title="show sidebar"></button></nav><nav class="sidebar"><div class="sidebar-crate"><h2><a href="../../../halo2_backend/index.html">halo2_backend</a><span class="version">0.3.0</span></h2></div><h2 class="location"><a href="#">Prover</a></h2><div class="sidebar-elems"><section><h3><a href="#implementations">Methods</a></h3><ul class="block method"><li><a href="#method.commit_phase">commit_phase</a></li><li><a href="#method.create_proof">create_proof</a></li><li><a href="#method.new">new</a></li><li><a href="#method.new_with_engine">new_with_engine</a></li><li><a href="#method.phases">phases</a></li></ul><h3><a href="#trait-implementations">Trait Implementations</a></h3><ul class="block trait-implementation"><li><a href="#impl-Debug-for-Prover%3C'a,+'params,+Scheme,+P,+E,+R,+T,+M%3E">Debug</a></li></ul><h3><a href="#synthetic-implementations">Auto Trait Implementations</a></h3><ul class="block synthetic-implementation"><li><a href="#impl-UnwindSafe-for-Prover%3C'a,+'params,+Scheme,+P,+E,+R,+T,+M%3E">!UnwindSafe</a></li><li><a href="#impl-Freeze-for-Prover%3C'a,+'params,+Scheme,+P,+E,+R,+T,+M%3E">Freeze</a></li><li><a href="#impl-RefUnwindSafe-for-Prover%3C'a,+'params,+Scheme,+P,+E,+R,+T,+M%3E">RefUnwindSafe</a></li><li><a href="#impl-Send-for-Prover%3C'a,+'params,+Scheme,+P,+E,+R,+T,+M%3E">Send</a></li><li><a href="#impl-Sync-for-Prover%3C'a,+'params,+Scheme,+P,+E,+R,+T,+M%3E">Sync</a></li><li><a href="#impl-Unpin-for-Prover%3C'a,+'params,+Scheme,+P,+E,+R,+T,+M%3E">Unpin</a></li></ul><h3><a href="#blanket-implementations">Blanket Implementations</a></h3><ul class="block blanket-implementation"><li><a href="#impl-Any-for-T">Any</a></li><li><a href="#impl-Borrow%3CT%3E-for-T">Borrow<T></a></li><li><a href="#impl-BorrowMut%3CT%3E-for-T">BorrowMut<T></a></li><li><a href="#impl-Conv-for-T">Conv</a></li><li><a href="#impl-FmtForward-for-T">FmtForward</a></li><li><a href="#impl-From%3CT%3E-for-T">From<T></a></li><li><a href="#impl-Instrument-for-T">Instrument</a></li><li><a href="#impl-Into%3CU%3E-for-T">Into<U></a></li><li><a href="#impl-IntoEither-for-T">IntoEither</a></li><li><a href="#impl-Pipe-for-T">Pipe</a></li><li><a href="#impl-Pointable-for-T">Pointable</a></li><li><a href="#impl-Same-for-T">Same</a></li><li><a href="#impl-Tap-for-T">Tap</a></li><li><a href="#impl-TryConv-for-T">TryConv</a></li><li><a href="#impl-TryFrom%3CU%3E-for-T">TryFrom<U></a></li><li><a href="#impl-TryInto%3CU%3E-for-T">TryInto<U></a></li><li><a href="#impl-VZip%3CV%3E-for-T">VZip<V></a></li><li><a href="#impl-WithSubscriber-for-T">WithSubscriber</a></li></ul></section><h2><a href="index.html">In halo2_backend::plonk::prover</a></h2></div></nav><div class="sidebar-resizer"></div><main><div class="width-limiter"><rustdoc-search></rustdoc-search><section id="main-content" class="content"><div class="main-heading"><h1>Struct <a href="../../index.html">halo2_backend</a>::<wbr><a href="../index.html">plonk</a>::<wbr><a href="index.html">prover</a>::<wbr><a class="struct" href="#">Prover</a><button id="copy-path" title="Copy item path to clipboard">Copy item path</button></h1><span class="out-of-band"><a class="src" href="../../../src/halo2_backend/plonk/prover.rs.html#126-156">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>−</span>]</button></span></div><pre class="rust item-decl"><code>pub struct Prover<'a, 'params, Scheme: <a class="trait" href="../../poly/commitment/trait.CommitmentScheme.html" title="trait halo2_backend::poly::commitment::CommitmentScheme">CommitmentScheme</a>, P: <a class="trait" href="../../poly/commitment/trait.Prover.html" title="trait halo2_backend::poly::commitment::Prover">Prover</a><'params, Scheme>, E: <a class="trait" href="../../transcript/trait.EncodedChallenge.html" title="trait halo2_backend::transcript::EncodedChallenge">EncodedChallenge</a><Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Curve" title="type halo2_backend::poly::commitment::CommitmentScheme::Curve">Curve</a>>, R: <a class="trait" href="https://rust-random.github.io/rand/rand_core/trait.RngCore.html" title="trait rand_core::RngCore">RngCore</a>, T: <a class="trait" href="../../transcript/trait.TranscriptWrite.html" title="trait halo2_backend::transcript::TranscriptWrite">TranscriptWrite</a><Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Curve" title="type halo2_backend::poly::commitment::CommitmentScheme::Curve">Curve</a>, E>, M: MsmAccel<Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Curve" title="type halo2_backend::poly::commitment::CommitmentScheme::Curve">Curve</a>>> { <span class="comment">/* private fields */</span> }</code></pre><details class="toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>The prover object used to create proofs interactively by passing the witnesses to commit at
each phase. This supports batch proving.</p>
-</div></details><h2 id="implementations" class="section-header">Implementations<a href="#implementations" class="anchor">§</a></h2><div id="implementations-list"><details class="toggle implementors-toggle" open><summary><section id="impl-Prover%3C'a,+'params,+Scheme,+P,+E,+R,+T,+M%3E" class="impl"><a class="src rightside" href="../../../src/halo2_backend/plonk/prover.rs.html#162-920">source</a><a href="#impl-Prover%3C'a,+'params,+Scheme,+P,+E,+R,+T,+M%3E" class="anchor">§</a><h3 class="code-header">impl<'a, 'params, Scheme: <a class="trait" href="../../poly/commitment/trait.CommitmentScheme.html" title="trait halo2_backend::poly::commitment::CommitmentScheme">CommitmentScheme</a>, P: <a class="trait" href="../../poly/commitment/trait.Prover.html" title="trait halo2_backend::poly::commitment::Prover">Prover</a><'params, Scheme>, E: <a class="trait" href="../../transcript/trait.EncodedChallenge.html" title="trait halo2_backend::transcript::EncodedChallenge">EncodedChallenge</a><Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Curve" title="type halo2_backend::poly::commitment::CommitmentScheme::Curve">Curve</a>>, R: <a class="trait" href="https://rust-random.github.io/rand/rand_core/trait.RngCore.html" title="trait rand_core::RngCore">RngCore</a>, T: <a class="trait" href="../../transcript/trait.TranscriptWrite.html" title="trait halo2_backend::transcript::TranscriptWrite">TranscriptWrite</a><Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Curve" title="type halo2_backend::poly::commitment::CommitmentScheme::Curve">Curve</a>, E>, M: MsmAccel<Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Curve" title="type halo2_backend::poly::commitment::CommitmentScheme::Curve">Curve</a>>> <a class="struct" href="struct.Prover.html" title="struct halo2_backend::plonk::prover::Prover">Prover</a><'a, 'params, Scheme, P, E, R, T, M></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.new_with_engine" class="method"><a class="src rightside" href="../../../src/halo2_backend/plonk/prover.rs.html#174-305">source</a><h4 class="code-header">pub fn <a href="#method.new_with_engine" class="fn">new_with_engine</a>(
+</div></details><h2 id="implementations" class="section-header">Implementations<a href="#implementations" class="anchor">§</a></h2><div id="implementations-list"><details class="toggle implementors-toggle" open><summary><section id="impl-Prover%3C'a,+'params,+Scheme,+P,+E,+R,+T,+M%3E" class="impl"><a class="src rightside" href="../../../src/halo2_backend/plonk/prover.rs.html#158-912">source</a><a href="#impl-Prover%3C'a,+'params,+Scheme,+P,+E,+R,+T,+M%3E" class="anchor">§</a><h3 class="code-header">impl<'a, 'params, Scheme: <a class="trait" href="../../poly/commitment/trait.CommitmentScheme.html" title="trait halo2_backend::poly::commitment::CommitmentScheme">CommitmentScheme</a>, P: <a class="trait" href="../../poly/commitment/trait.Prover.html" title="trait halo2_backend::poly::commitment::Prover">Prover</a><'params, Scheme>, E: <a class="trait" href="../../transcript/trait.EncodedChallenge.html" title="trait halo2_backend::transcript::EncodedChallenge">EncodedChallenge</a><Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Curve" title="type halo2_backend::poly::commitment::CommitmentScheme::Curve">Curve</a>>, R: <a class="trait" href="https://rust-random.github.io/rand/rand_core/trait.RngCore.html" title="trait rand_core::RngCore">RngCore</a>, T: <a class="trait" href="../../transcript/trait.TranscriptWrite.html" title="trait halo2_backend::transcript::TranscriptWrite">TranscriptWrite</a><Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Curve" title="type halo2_backend::poly::commitment::CommitmentScheme::Curve">Curve</a>, E>, M: MsmAccel<Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Curve" title="type halo2_backend::poly::commitment::CommitmentScheme::Curve">Curve</a>>> <a class="struct" href="struct.Prover.html" title="struct halo2_backend::plonk::prover::Prover">Prover</a><'a, 'params, Scheme, P, E, R, T, M></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.new_with_engine" class="method"><a class="src rightside" href="../../../src/halo2_backend/plonk/prover.rs.html#170-299">source</a><h4 class="code-header">pub fn <a href="#method.new_with_engine" class="fn">new_with_engine</a>(
engine: PlonkEngine<Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Curve" title="type halo2_backend::poly::commitment::CommitmentScheme::Curve">Curve</a>, M>,
params: &'params Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.ParamsProver" title="type halo2_backend::poly::commitment::CommitmentScheme::ParamsProver">ParamsProver</a>,
pk: &'a <a class="struct" href="../struct.ProvingKey.html" title="struct halo2_backend::plonk::ProvingKey">ProvingKey</a><Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Curve" title="type halo2_backend::poly::commitment::CommitmentScheme::Curve">Curve</a>>,
- circuits_instances: &[&[&[Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Scalar" title="type halo2_backend::poly::commitment::CommitmentScheme::Scalar">Scalar</a>]]],
+ circuits_instances: &[<a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a><<a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a><Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Scalar" title="type halo2_backend::poly::commitment::CommitmentScheme::Scalar">Scalar</a>>>],
rng: R,
transcript: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&'a mut T</a>
) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a><Self, <a class="enum" href="../enum.Error.html" title="enum halo2_backend::plonk::Error">Error</a>><div class="where">where
Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Scalar" title="type halo2_backend::poly::commitment::CommitmentScheme::Scalar">Scalar</a>: WithSmallOrderMulGroup<3> + FromUniformBytes<64>,</div></h4></section></summary><div class="docblock"><p>Create a new prover object</p>
-</div></details><details class="toggle method-toggle" open><summary><section id="method.commit_phase" class="method"><a class="src rightside" href="../../../src/halo2_backend/plonk/prover.rs.html#309-494">source</a><h4 class="code-header">pub fn <a href="#method.commit_phase" class="fn">commit_phase</a>(
+</div></details><details class="toggle method-toggle" open><summary><section id="method.commit_phase" class="method"><a class="src rightside" href="../../../src/halo2_backend/plonk/prover.rs.html#303-488">source</a><h4 class="code-header">pub fn <a href="#method.commit_phase" class="fn">commit_phase</a>(
&mut self,
phase: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u8.html">u8</a>,
witness: <a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a><<a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a><<a class="enum" href="https://doc.rust-lang.org/nightly/core/option/enum.Option.html" title="enum core::option::Option">Option</a><<a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a><Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Scalar" title="type halo2_backend::poly::commitment::CommitmentScheme::Scalar">Scalar</a>>>>>
) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a><<a class="struct" href="https://doc.rust-lang.org/nightly/std/collections/hash/map/struct.HashMap.html" title="struct std::collections::hash::map::HashMap">HashMap</a><<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>, Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Scalar" title="type halo2_backend::poly::commitment::CommitmentScheme::Scalar">Scalar</a>>, <a class="enum" href="../enum.Error.html" title="enum halo2_backend::plonk::Error">Error</a>><div class="where">where
Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Scalar" title="type halo2_backend::poly::commitment::CommitmentScheme::Scalar">Scalar</a>: WithSmallOrderMulGroup<3> + FromUniformBytes<64>,</div></h4></section></summary><div class="docblock"><p>Commit the <code>witness</code> at <code>phase</code> and return the challenges after <code>phase</code>.</p>
-</div></details><details class="toggle method-toggle" open><summary><section id="method.create_proof" class="method"><a class="src rightside" href="../../../src/halo2_backend/plonk/prover.rs.html#512-897">source</a><h4 class="code-header">pub fn <a href="#method.create_proof" class="fn">create_proof</a>(self) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a><<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.unit.html">()</a>, <a class="enum" href="../enum.Error.html" title="enum halo2_backend::plonk::Error">Error</a>><div class="where">where
+</div></details><details class="toggle method-toggle" open><summary><section id="method.create_proof" class="method"><a class="src rightside" href="../../../src/halo2_backend/plonk/prover.rs.html#506-891">source</a><h4 class="code-header">pub fn <a href="#method.create_proof" class="fn">create_proof</a>(self) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a><<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.unit.html">()</a>, <a class="enum" href="../enum.Error.html" title="enum halo2_backend::plonk::Error">Error</a>><div class="where">where
Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Scalar" title="type halo2_backend::poly::commitment::CommitmentScheme::Scalar">Scalar</a>: WithSmallOrderMulGroup<3> + FromUniformBytes<64>,</div></h4></section></summary><div class="docblock"><p>Finalizes the proof creation.
The following steps are performed:</p>
<ul>
@@ -106,19 +106,19 @@
</ol>
</li>
</ul>
-</div></details><details class="toggle method-toggle" open><summary><section id="method.phases" class="method"><a class="src rightside" href="../../../src/halo2_backend/plonk/prover.rs.html#900-902">source</a><h4 class="code-header">pub fn <a href="#method.phases" class="fn">phases</a>(&self) -> &[<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u8.html">u8</a>] <a href="#" class="tooltip" data-notable-ty="&[u8]">ⓘ</a></h4></section></summary><div class="docblock"><p>Returns the phases of the circuit</p>
-</div></details><details class="toggle method-toggle" open><summary><section id="method.new" class="method"><a class="src rightside" href="../../../src/halo2_backend/plonk/prover.rs.html#905-919">source</a><h4 class="code-header">pub fn <a href="#method.new" class="fn">new</a>(
+</div></details><details class="toggle method-toggle" open><summary><section id="method.phases" class="method"><a class="src rightside" href="../../../src/halo2_backend/plonk/prover.rs.html#894-896">source</a><h4 class="code-header">pub fn <a href="#method.phases" class="fn">phases</a>(&self) -> &[<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u8.html">u8</a>] <a href="#" class="tooltip" data-notable-ty="&[u8]">ⓘ</a></h4></section></summary><div class="docblock"><p>Returns the phases of the circuit</p>
+</div></details><details class="toggle method-toggle" open><summary><section id="method.new" class="method"><a class="src rightside" href="../../../src/halo2_backend/plonk/prover.rs.html#899-911">source</a><h4 class="code-header">pub fn <a href="#method.new" class="fn">new</a>(
params: &'params Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.ParamsProver" title="type halo2_backend::poly::commitment::CommitmentScheme::ParamsProver">ParamsProver</a>,
pk: &'a <a class="struct" href="../struct.ProvingKey.html" title="struct halo2_backend::plonk::ProvingKey">ProvingKey</a><Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Curve" title="type halo2_backend::poly::commitment::CommitmentScheme::Curve">Curve</a>>,
- circuits_instances: &[&[&[Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Scalar" title="type halo2_backend::poly::commitment::CommitmentScheme::Scalar">Scalar</a>]]],
+ circuits_instances: &[<a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a><<a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a><Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Scalar" title="type halo2_backend::poly::commitment::CommitmentScheme::Scalar">Scalar</a>>>],
rng: R,
transcript: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&'a mut T</a>
) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a><<a class="struct" href="struct.Prover.html" title="struct halo2_backend::plonk::prover::Prover">Prover</a><'a, 'params, Scheme, P, E, R, T, H2cEngine>, <a class="enum" href="../enum.Error.html" title="enum halo2_backend::plonk::Error">Error</a>><div class="where">where
Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Scalar" title="type halo2_backend::poly::commitment::CommitmentScheme::Scalar">Scalar</a>: WithSmallOrderMulGroup<3> + FromUniformBytes<64>,</div></h4></section></summary><div class="docblock"><p>Create a new prover object</p>
-</div></details></div></details></div><h2 id="trait-implementations" class="section-header">Trait Implementations<a href="#trait-implementations" class="anchor">§</a></h2><div id="trait-implementations-list"><details class="toggle implementors-toggle" open><summary><section id="impl-Debug-for-Prover%3C'a,+'params,+Scheme,+P,+E,+R,+T,+M%3E" class="impl"><a class="src rightside" href="../../../src/halo2_backend/plonk/prover.rs.html#129">source</a><a href="#impl-Debug-for-Prover%3C'a,+'params,+Scheme,+P,+E,+R,+T,+M%3E" class="anchor">§</a><h3 class="code-header">impl<'a, 'params, Scheme: <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a> + <a class="trait" href="../../poly/commitment/trait.CommitmentScheme.html" title="trait halo2_backend::poly::commitment::CommitmentScheme">CommitmentScheme</a>, P: <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a> + <a class="trait" href="../../poly/commitment/trait.Prover.html" title="trait halo2_backend::poly::commitment::Prover">Prover</a><'params, Scheme>, E: <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a> + <a class="trait" href="../../transcript/trait.EncodedChallenge.html" title="trait halo2_backend::transcript::EncodedChallenge">EncodedChallenge</a><Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Curve" title="type halo2_backend::poly::commitment::CommitmentScheme::Curve">Curve</a>>, R: <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a> + <a class="trait" href="https://rust-random.github.io/rand/rand_core/trait.RngCore.html" title="trait rand_core::RngCore">RngCore</a>, T: <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a> + <a class="trait" href="../../transcript/trait.TranscriptWrite.html" title="trait halo2_backend::transcript::TranscriptWrite">TranscriptWrite</a><Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Curve" title="type halo2_backend::poly::commitment::CommitmentScheme::Curve">Curve</a>, E>, M: <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a> + MsmAccel<Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Curve" title="type halo2_backend::poly::commitment::CommitmentScheme::Curve">Curve</a>>> <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a> for <a class="struct" href="struct.Prover.html" title="struct halo2_backend::plonk::prover::Prover">Prover</a><'a, 'params, Scheme, P, E, R, T, M><div class="where">where
+</div></details></div></details></div><h2 id="trait-implementations" class="section-header">Trait Implementations<a href="#trait-implementations" class="anchor">§</a></h2><div id="trait-implementations-list"><details class="toggle implementors-toggle" open><summary><section id="impl-Debug-for-Prover%3C'a,+'params,+Scheme,+P,+E,+R,+T,+M%3E" class="impl"><a class="src rightside" href="../../../src/halo2_backend/plonk/prover.rs.html#125">source</a><a href="#impl-Debug-for-Prover%3C'a,+'params,+Scheme,+P,+E,+R,+T,+M%3E" class="anchor">§</a><h3 class="code-header">impl<'a, 'params, Scheme: <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a> + <a class="trait" href="../../poly/commitment/trait.CommitmentScheme.html" title="trait halo2_backend::poly::commitment::CommitmentScheme">CommitmentScheme</a>, P: <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a> + <a class="trait" href="../../poly/commitment/trait.Prover.html" title="trait halo2_backend::poly::commitment::Prover">Prover</a><'params, Scheme>, E: <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a> + <a class="trait" href="../../transcript/trait.EncodedChallenge.html" title="trait halo2_backend::transcript::EncodedChallenge">EncodedChallenge</a><Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Curve" title="type halo2_backend::poly::commitment::CommitmentScheme::Curve">Curve</a>>, R: <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a> + <a class="trait" href="https://rust-random.github.io/rand/rand_core/trait.RngCore.html" title="trait rand_core::RngCore">RngCore</a>, T: <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a> + <a class="trait" href="../../transcript/trait.TranscriptWrite.html" title="trait halo2_backend::transcript::TranscriptWrite">TranscriptWrite</a><Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Curve" title="type halo2_backend::poly::commitment::CommitmentScheme::Curve">Curve</a>, E>, M: <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a> + MsmAccel<Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Curve" title="type halo2_backend::poly::commitment::CommitmentScheme::Curve">Curve</a>>> <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a> for <a class="struct" href="struct.Prover.html" title="struct halo2_backend::plonk::prover::Prover">Prover</a><'a, 'params, Scheme, P, E, R, T, M><div class="where">where
Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Curve" title="type halo2_backend::poly::commitment::CommitmentScheme::Curve">Curve</a>: <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a>,
Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.ParamsProver" title="type halo2_backend::poly::commitment::CommitmentScheme::ParamsProver">ParamsProver</a>: <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a>,
- Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Scalar" title="type halo2_backend::poly::commitment::CommitmentScheme::Scalar">Scalar</a>: <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a>,</div></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.fmt" class="method trait-impl"><a class="src rightside" href="../../../src/halo2_backend/plonk/prover.rs.html#129">source</a><a href="#method.fmt" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt" class="fn">fmt</a>(&self, f: &mut <a class="struct" href="https://doc.rust-lang.org/nightly/core/fmt/struct.Formatter.html" title="struct core::fmt::Formatter">Formatter</a><'_>) -> <a class="type" href="https://doc.rust-lang.org/nightly/core/fmt/type.Result.html" title="type core::fmt::Result">Result</a></h4></section></summary><div class='docblock'>Formats the value using the given formatter. <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt">Read more</a></div></details></div></details></div><h2 id="synthetic-implementations" class="section-header">Auto Trait Implementations<a href="#synthetic-implementations" class="anchor">§</a></h2><div id="synthetic-implementations-list"><section id="impl-Freeze-for-Prover%3C'a,+'params,+Scheme,+P,+E,+R,+T,+M%3E" class="impl"><a href="#impl-Freeze-for-Prover%3C'a,+'params,+Scheme,+P,+E,+R,+T,+M%3E" class="anchor">§</a><h3 class="code-header">impl<'a, 'params, Scheme, P, E, R, T, M> <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Freeze.html" title="trait core::marker::Freeze">Freeze</a> for <a class="struct" href="struct.Prover.html" title="struct halo2_backend::plonk::prover::Prover">Prover</a><'a, 'params, Scheme, P, E, R, T, M><div class="where">where
+ Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Scalar" title="type halo2_backend::poly::commitment::CommitmentScheme::Scalar">Scalar</a>: <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a>,</div></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.fmt" class="method trait-impl"><a class="src rightside" href="../../../src/halo2_backend/plonk/prover.rs.html#125">source</a><a href="#method.fmt" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt" class="fn">fmt</a>(&self, f: &mut <a class="struct" href="https://doc.rust-lang.org/nightly/core/fmt/struct.Formatter.html" title="struct core::fmt::Formatter">Formatter</a><'_>) -> <a class="type" href="https://doc.rust-lang.org/nightly/core/fmt/type.Result.html" title="type core::fmt::Result">Result</a></h4></section></summary><div class='docblock'>Formats the value using the given formatter. <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt">Read more</a></div></details></div></details></div><h2 id="synthetic-implementations" class="section-header">Auto Trait Implementations<a href="#synthetic-implementations" class="anchor">§</a></h2><div id="synthetic-implementations-list"><section id="impl-Freeze-for-Prover%3C'a,+'params,+Scheme,+P,+E,+R,+T,+M%3E" class="impl"><a href="#impl-Freeze-for-Prover%3C'a,+'params,+Scheme,+P,+E,+R,+T,+M%3E" class="anchor">§</a><h3 class="code-header">impl<'a, 'params, Scheme, P, E, R, T, M> <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Freeze.html" title="trait core::marker::Freeze">Freeze</a> for <a class="struct" href="struct.Prover.html" title="struct halo2_backend::plonk::prover::Prover">Prover</a><'a, 'params, Scheme, P, E, R, T, M><div class="where">where
R: <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Freeze.html" title="trait core::marker::Freeze">Freeze</a>,
M: <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Freeze.html" title="trait core::marker::Freeze">Freeze</a>,</div></h3></section><section id="impl-RefUnwindSafe-for-Prover%3C'a,+'params,+Scheme,+P,+E,+R,+T,+M%3E" class="impl"><a href="#impl-RefUnwindSafe-for-Prover%3C'a,+'params,+Scheme,+P,+E,+R,+T,+M%3E" class="anchor">§</a><h3 class="code-header">impl<'a, 'params, Scheme, P, E, R, T, M> <a class="trait" href="https://doc.rust-lang.org/nightly/core/panic/unwind_safe/trait.RefUnwindSafe.html" title="trait core::panic::unwind_safe::RefUnwindSafe">RefUnwindSafe</a> for <a class="struct" href="struct.Prover.html" title="struct halo2_backend::plonk::prover::Prover">Prover</a><'a, 'params, Scheme, P, E, R, T, M><div class="where">where
R: <a class="trait" href="https://doc.rust-lang.org/nightly/core/panic/unwind_safe/trait.RefUnwindSafe.html" title="trait core::panic::unwind_safe::RefUnwindSafe">RefUnwindSafe</a>,
diff --git a/halo2_backend/plonk/prover/struct.ProverSingle.html b/halo2_backend/plonk/prover/struct.ProverSingle.html
index c8b7a3509e..118ab1db48 100644
--- a/halo2_backend/plonk/prover/struct.ProverSingle.html
+++ b/halo2_backend/plonk/prover/struct.ProverSingle.html
@@ -16,29 +16,29 @@
</head><body class="rustdoc struct"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle" title="show sidebar"></button></nav><nav class="sidebar"><div class="sidebar-crate"><h2><a href="../../../halo2_backend/index.html">halo2_backend</a><span class="version">0.3.0</span></h2></div><h2 class="location"><a href="#">ProverSingle</a></h2><div class="sidebar-elems"><section><h3><a href="#implementations">Methods</a></h3><ul class="block method"><li><a href="#method.commit_phase">commit_phase</a></li><li><a href="#method.create_proof">create_proof</a></li><li><a href="#method.new">new</a></li><li><a href="#method.new_with_engine">new_with_engine</a></li></ul><h3><a href="#trait-implementations">Trait Implementations</a></h3><ul class="block trait-implementation"><li><a href="#impl-Debug-for-ProverSingle%3C'a,+'params,+Scheme,+P,+E,+R,+T,+M%3E">Debug</a></li></ul><h3><a href="#synthetic-implementations">Auto Trait Implementations</a></h3><ul class="block synthetic-implementation"><li><a href="#impl-UnwindSafe-for-ProverSingle%3C'a,+'params,+Scheme,+P,+E,+R,+T,+M%3E">!UnwindSafe</a></li><li><a href="#impl-Freeze-for-ProverSingle%3C'a,+'params,+Scheme,+P,+E,+R,+T,+M%3E">Freeze</a></li><li><a href="#impl-RefUnwindSafe-for-ProverSingle%3C'a,+'params,+Scheme,+P,+E,+R,+T,+M%3E">RefUnwindSafe</a></li><li><a href="#impl-Send-for-ProverSingle%3C'a,+'params,+Scheme,+P,+E,+R,+T,+M%3E">Send</a></li><li><a href="#impl-Sync-for-ProverSingle%3C'a,+'params,+Scheme,+P,+E,+R,+T,+M%3E">Sync</a></li><li><a href="#impl-Unpin-for-ProverSingle%3C'a,+'params,+Scheme,+P,+E,+R,+T,+M%3E">Unpin</a></li></ul><h3><a href="#blanket-implementations">Blanket Implementations</a></h3><ul class="block blanket-implementation"><li><a href="#impl-Any-for-T">Any</a></li><li><a href="#impl-Borrow%3CT%3E-for-T">Borrow<T></a></li><li><a href="#impl-BorrowMut%3CT%3E-for-T">BorrowMut<T></a></li><li><a href="#impl-Conv-for-T">Conv</a></li><li><a href="#impl-FmtForward-for-T">FmtForward</a></li><li><a href="#impl-From%3CT%3E-for-T">From<T></a></li><li><a href="#impl-Instrument-for-T">Instrument</a></li><li><a href="#impl-Into%3CU%3E-for-T">Into<U></a></li><li><a href="#impl-IntoEither-for-T">IntoEither</a></li><li><a href="#impl-Pipe-for-T">Pipe</a></li><li><a href="#impl-Pointable-for-T">Pointable</a></li><li><a href="#impl-Same-for-T">Same</a></li><li><a href="#impl-Tap-for-T">Tap</a></li><li><a href="#impl-TryConv-for-T">TryConv</a></li><li><a href="#impl-TryFrom%3CU%3E-for-T">TryFrom<U></a></li><li><a href="#impl-TryInto%3CU%3E-for-T">TryInto<U></a></li><li><a href="#impl-VZip%3CV%3E-for-T">VZip<V></a></li><li><a href="#impl-WithSubscriber-for-T">WithSubscriber</a></li></ul></section><h2><a href="index.html">In halo2_backend::plonk::prover</a></h2></div></nav><div class="sidebar-resizer"></div><main><div class="width-limiter"><rustdoc-search></rustdoc-search><section id="main-content" class="content"><div class="main-heading"><h1>Struct <a href="../../index.html">halo2_backend</a>::<wbr><a href="../index.html">plonk</a>::<wbr><a href="index.html">prover</a>::<wbr><a class="struct" href="#">ProverSingle</a><button id="copy-path" title="Copy item path to clipboard">Copy item path</button></h1><span class="out-of-band"><a class="src" href="../../../src/halo2_backend/plonk/prover.rs.html#44-53">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>−</span>]</button></span></div><pre class="rust item-decl"><code>pub struct ProverSingle<'a, 'params, Scheme: <a class="trait" href="../../poly/commitment/trait.CommitmentScheme.html" title="trait halo2_backend::poly::commitment::CommitmentScheme">CommitmentScheme</a>, P: <a class="trait" href="../../poly/commitment/trait.Prover.html" title="trait halo2_backend::poly::commitment::Prover">Prover</a><'params, Scheme>, E: <a class="trait" href="../../transcript/trait.EncodedChallenge.html" title="trait halo2_backend::transcript::EncodedChallenge">EncodedChallenge</a><Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Curve" title="type halo2_backend::poly::commitment::CommitmentScheme::Curve">Curve</a>>, R: <a class="trait" href="https://rust-random.github.io/rand/rand_core/trait.RngCore.html" title="trait rand_core::RngCore">RngCore</a>, T: <a class="trait" href="../../transcript/trait.TranscriptWrite.html" title="trait halo2_backend::transcript::TranscriptWrite">TranscriptWrite</a><Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Curve" title="type halo2_backend::poly::commitment::CommitmentScheme::Curve">Curve</a>, E>, M: MsmAccel<Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Curve" title="type halo2_backend::poly::commitment::CommitmentScheme::Curve">Curve</a>>>(<span class="comment">/* private fields */</span>);</code></pre><details class="toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>The prover object used to create proofs interactively by passing the witnesses to commit at
each phase. This works for a single proof. This is a wrapper over Prover.</p>
-</div></details><h2 id="implementations" class="section-header">Implementations<a href="#implementations" class="anchor">§</a></h2><div id="implementations-list"><details class="toggle implementors-toggle" open><summary><section id="impl-ProverSingle%3C'a,+'params,+Scheme,+P,+E,+R,+T,+M%3E" class="impl"><a class="src rightside" href="../../../src/halo2_backend/plonk/prover.rs.html#55-125">source</a><a href="#impl-ProverSingle%3C'a,+'params,+Scheme,+P,+E,+R,+T,+M%3E" class="anchor">§</a><h3 class="code-header">impl<'a, 'params, Scheme: <a class="trait" href="../../poly/commitment/trait.CommitmentScheme.html" title="trait halo2_backend::poly::commitment::CommitmentScheme">CommitmentScheme</a>, P: <a class="trait" href="../../poly/commitment/trait.Prover.html" title="trait halo2_backend::poly::commitment::Prover">Prover</a><'params, Scheme>, E: <a class="trait" href="../../transcript/trait.EncodedChallenge.html" title="trait halo2_backend::transcript::EncodedChallenge">EncodedChallenge</a><Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Curve" title="type halo2_backend::poly::commitment::CommitmentScheme::Curve">Curve</a>>, R: <a class="trait" href="https://rust-random.github.io/rand/rand_core/trait.RngCore.html" title="trait rand_core::RngCore">RngCore</a>, T: <a class="trait" href="../../transcript/trait.TranscriptWrite.html" title="trait halo2_backend::transcript::TranscriptWrite">TranscriptWrite</a><Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Curve" title="type halo2_backend::poly::commitment::CommitmentScheme::Curve">Curve</a>, E>, M: MsmAccel<Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Curve" title="type halo2_backend::poly::commitment::CommitmentScheme::Curve">Curve</a>>> <a class="struct" href="struct.ProverSingle.html" title="struct halo2_backend::plonk::prover::ProverSingle">ProverSingle</a><'a, 'params, Scheme, P, E, R, T, M></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.new_with_engine" class="method"><a class="src rightside" href="../../../src/halo2_backend/plonk/prover.rs.html#67-88">source</a><h4 class="code-header">pub fn <a href="#method.new_with_engine" class="fn">new_with_engine</a>(
+</div></details><h2 id="implementations" class="section-header">Implementations<a href="#implementations" class="anchor">§</a></h2><div id="implementations-list"><details class="toggle implementors-toggle" open><summary><section id="impl-ProverSingle%3C'a,+'params,+Scheme,+P,+E,+R,+T,+M%3E" class="impl"><a class="src rightside" href="../../../src/halo2_backend/plonk/prover.rs.html#55-121">source</a><a href="#impl-ProverSingle%3C'a,+'params,+Scheme,+P,+E,+R,+T,+M%3E" class="anchor">§</a><h3 class="code-header">impl<'a, 'params, Scheme: <a class="trait" href="../../poly/commitment/trait.CommitmentScheme.html" title="trait halo2_backend::poly::commitment::CommitmentScheme">CommitmentScheme</a>, P: <a class="trait" href="../../poly/commitment/trait.Prover.html" title="trait halo2_backend::poly::commitment::Prover">Prover</a><'params, Scheme>, E: <a class="trait" href="../../transcript/trait.EncodedChallenge.html" title="trait halo2_backend::transcript::EncodedChallenge">EncodedChallenge</a><Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Curve" title="type halo2_backend::poly::commitment::CommitmentScheme::Curve">Curve</a>>, R: <a class="trait" href="https://rust-random.github.io/rand/rand_core/trait.RngCore.html" title="trait rand_core::RngCore">RngCore</a>, T: <a class="trait" href="../../transcript/trait.TranscriptWrite.html" title="trait halo2_backend::transcript::TranscriptWrite">TranscriptWrite</a><Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Curve" title="type halo2_backend::poly::commitment::CommitmentScheme::Curve">Curve</a>, E>, M: MsmAccel<Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Curve" title="type halo2_backend::poly::commitment::CommitmentScheme::Curve">Curve</a>>> <a class="struct" href="struct.ProverSingle.html" title="struct halo2_backend::plonk::prover::ProverSingle">ProverSingle</a><'a, 'params, Scheme, P, E, R, T, M></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.new_with_engine" class="method"><a class="src rightside" href="../../../src/halo2_backend/plonk/prover.rs.html#67-86">source</a><h4 class="code-header">pub fn <a href="#method.new_with_engine" class="fn">new_with_engine</a>(
engine: PlonkEngine<Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Curve" title="type halo2_backend::poly::commitment::CommitmentScheme::Curve">Curve</a>, M>,
params: &'params Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.ParamsProver" title="type halo2_backend::poly::commitment::CommitmentScheme::ParamsProver">ParamsProver</a>,
pk: &'a <a class="struct" href="../struct.ProvingKey.html" title="struct halo2_backend::plonk::ProvingKey">ProvingKey</a><Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Curve" title="type halo2_backend::poly::commitment::CommitmentScheme::Curve">Curve</a>>,
- instance: &[&[Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Scalar" title="type halo2_backend::poly::commitment::CommitmentScheme::Scalar">Scalar</a>]],
+ instance: <a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a><<a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a><Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Scalar" title="type halo2_backend::poly::commitment::CommitmentScheme::Scalar">Scalar</a>>>,
rng: R,
transcript: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&'a mut T</a>
) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a><Self, <a class="enum" href="../enum.Error.html" title="enum halo2_backend::plonk::Error">Error</a>><div class="where">where
Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Scalar" title="type halo2_backend::poly::commitment::CommitmentScheme::Scalar">Scalar</a>: WithSmallOrderMulGroup<3> + FromUniformBytes<64>,</div></h4></section></summary><div class="docblock"><p>Create a new prover object</p>
-</div></details><section id="method.new" class="method"><a class="src rightside" href="../../../src/halo2_backend/plonk/prover.rs.html#90-104">source</a><h4 class="code-header">pub fn <a href="#method.new" class="fn">new</a>(
+</div></details><section id="method.new" class="method"><a class="src rightside" href="../../../src/halo2_backend/plonk/prover.rs.html#88-100">source</a><h4 class="code-header">pub fn <a href="#method.new" class="fn">new</a>(
params: &'params Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.ParamsProver" title="type halo2_backend::poly::commitment::CommitmentScheme::ParamsProver">ParamsProver</a>,
pk: &'a <a class="struct" href="../struct.ProvingKey.html" title="struct halo2_backend::plonk::ProvingKey">ProvingKey</a><Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Curve" title="type halo2_backend::poly::commitment::CommitmentScheme::Curve">Curve</a>>,
- instance: &[&[Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Scalar" title="type halo2_backend::poly::commitment::CommitmentScheme::Scalar">Scalar</a>]],
+ instance: <a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a><<a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a><Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Scalar" title="type halo2_backend::poly::commitment::CommitmentScheme::Scalar">Scalar</a>>>,
rng: R,
transcript: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&'a mut T</a>
) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a><<a class="struct" href="struct.ProverSingle.html" title="struct halo2_backend::plonk::prover::ProverSingle">ProverSingle</a><'a, 'params, Scheme, P, E, R, T, H2cEngine>, <a class="enum" href="../enum.Error.html" title="enum halo2_backend::plonk::Error">Error</a>><div class="where">where
- Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Scalar" title="type halo2_backend::poly::commitment::CommitmentScheme::Scalar">Scalar</a>: WithSmallOrderMulGroup<3> + FromUniformBytes<64>,</div></h4></section><details class="toggle method-toggle" open><summary><section id="method.commit_phase" class="method"><a class="src rightside" href="../../../src/halo2_backend/plonk/prover.rs.html#107-116">source</a><h4 class="code-header">pub fn <a href="#method.commit_phase" class="fn">commit_phase</a>(
+ Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Scalar" title="type halo2_backend::poly::commitment::CommitmentScheme::Scalar">Scalar</a>: WithSmallOrderMulGroup<3> + FromUniformBytes<64>,</div></h4></section><details class="toggle method-toggle" open><summary><section id="method.commit_phase" class="method"><a class="src rightside" href="../../../src/halo2_backend/plonk/prover.rs.html#103-112">source</a><h4 class="code-header">pub fn <a href="#method.commit_phase" class="fn">commit_phase</a>(
&mut self,
phase: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u8.html">u8</a>,
witness: <a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a><<a class="enum" href="https://doc.rust-lang.org/nightly/core/option/enum.Option.html" title="enum core::option::Option">Option</a><<a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a><Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Scalar" title="type halo2_backend::poly::commitment::CommitmentScheme::Scalar">Scalar</a>>>>
) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a><<a class="struct" href="https://doc.rust-lang.org/nightly/std/collections/hash/map/struct.HashMap.html" title="struct std::collections::hash::map::HashMap">HashMap</a><<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>, Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Scalar" title="type halo2_backend::poly::commitment::CommitmentScheme::Scalar">Scalar</a>>, <a class="enum" href="../enum.Error.html" title="enum halo2_backend::plonk::Error">Error</a>><div class="where">where
Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Scalar" title="type halo2_backend::poly::commitment::CommitmentScheme::Scalar">Scalar</a>: WithSmallOrderMulGroup<3> + FromUniformBytes<64>,</div></h4></section></summary><div class="docblock"><p>Commit the <code>witness</code> at <code>phase</code> and return the challenges after <code>phase</code>.</p>
-</div></details><details class="toggle method-toggle" open><summary><section id="method.create_proof" class="method"><a class="src rightside" href="../../../src/halo2_backend/plonk/prover.rs.html#119-124">source</a><h4 class="code-header">pub fn <a href="#method.create_proof" class="fn">create_proof</a>(self) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a><<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.unit.html">()</a>, <a class="enum" href="../enum.Error.html" title="enum halo2_backend::plonk::Error">Error</a>><div class="where">where
+</div></details><details class="toggle method-toggle" open><summary><section id="method.create_proof" class="method"><a class="src rightside" href="../../../src/halo2_backend/plonk/prover.rs.html#115-120">source</a><h4 class="code-header">pub fn <a href="#method.create_proof" class="fn">create_proof</a>(self) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a><<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.unit.html">()</a>, <a class="enum" href="../enum.Error.html" title="enum halo2_backend::plonk::Error">Error</a>><div class="where">where
Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Scalar" title="type halo2_backend::poly::commitment::CommitmentScheme::Scalar">Scalar</a>: WithSmallOrderMulGroup<3> + FromUniformBytes<64>,</div></h4></section></summary><div class="docblock"><p>Finalizes the proof creation.</p>
</div></details></div></details></div><h2 id="trait-implementations" class="section-header">Trait Implementations<a href="#trait-implementations" class="anchor">§</a></h2><div id="trait-implementations-list"><details class="toggle implementors-toggle" open><summary><section id="impl-Debug-for-ProverSingle%3C'a,+'params,+Scheme,+P,+E,+R,+T,+M%3E" class="impl"><a class="src rightside" href="../../../src/halo2_backend/plonk/prover.rs.html#43">source</a><a href="#impl-Debug-for-ProverSingle%3C'a,+'params,+Scheme,+P,+E,+R,+T,+M%3E" class="anchor">§</a><h3 class="code-header">impl<'a, 'params, Scheme: <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a> + <a class="trait" href="../../poly/commitment/trait.CommitmentScheme.html" title="trait halo2_backend::poly::commitment::CommitmentScheme">CommitmentScheme</a>, P: <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a> + <a class="trait" href="../../poly/commitment/trait.Prover.html" title="trait halo2_backend::poly::commitment::Prover">Prover</a><'params, Scheme>, E: <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a> + <a class="trait" href="../../transcript/trait.EncodedChallenge.html" title="trait halo2_backend::transcript::EncodedChallenge">EncodedChallenge</a><Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Curve" title="type halo2_backend::poly::commitment::CommitmentScheme::Curve">Curve</a>>, R: <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a> + <a class="trait" href="https://rust-random.github.io/rand/rand_core/trait.RngCore.html" title="trait rand_core::RngCore">RngCore</a>, T: <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a> + <a class="trait" href="../../transcript/trait.TranscriptWrite.html" title="trait halo2_backend::transcript::TranscriptWrite">TranscriptWrite</a><Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Curve" title="type halo2_backend::poly::commitment::CommitmentScheme::Curve">Curve</a>, E>, M: <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a> + MsmAccel<Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Curve" title="type halo2_backend::poly::commitment::CommitmentScheme::Curve">Curve</a>>> <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a> for <a class="struct" href="struct.ProverSingle.html" title="struct halo2_backend::plonk::prover::ProverSingle">ProverSingle</a><'a, 'params, Scheme, P, E, R, T, M></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.fmt" class="method trait-impl"><a class="src rightside" href="../../../src/halo2_backend/plonk/prover.rs.html#43">source</a><a href="#method.fmt" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt" class="fn">fmt</a>(&self, f: &mut <a class="struct" href="https://doc.rust-lang.org/nightly/core/fmt/struct.Formatter.html" title="struct core::fmt::Formatter">Formatter</a><'_>) -> <a class="type" href="https://doc.rust-lang.org/nightly/core/fmt/type.Result.html" title="type core::fmt::Result">Result</a></h4></section></summary><div class='docblock'>Formats the value using the given formatter. <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt">Read more</a></div></details></div></details></div><h2 id="synthetic-implementations" class="section-header">Auto Trait Implementations<a href="#synthetic-implementations" class="anchor">§</a></h2><div id="synthetic-implementations-list"><section id="impl-Freeze-for-ProverSingle%3C'a,+'params,+Scheme,+P,+E,+R,+T,+M%3E" class="impl"><a href="#impl-Freeze-for-ProverSingle%3C'a,+'params,+Scheme,+P,+E,+R,+T,+M%3E" class="anchor">§</a><h3 class="code-header">impl<'a, 'params, Scheme, P, E, R, T, M> <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Freeze.html" title="trait core::marker::Freeze">Freeze</a> for <a class="struct" href="struct.ProverSingle.html" title="struct halo2_backend::plonk::prover::ProverSingle">ProverSingle</a><'a, 'params, Scheme, P, E, R, T, M><div class="where">where
R: <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Freeze.html" title="trait core::marker::Freeze">Freeze</a>,
diff --git a/halo2_backend/plonk/verifier/fn.verify_proof.html b/halo2_backend/plonk/verifier/fn.verify_proof.html
index 8980eb1acc..afcfc2ac1a 100644
--- a/halo2_backend/plonk/verifier/fn.verify_proof.html
+++ b/halo2_backend/plonk/verifier/fn.verify_proof.html
@@ -14,11 +14,11 @@
});
</script>
-</head><body class="rustdoc fn"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle" title="show sidebar"></button></nav><nav class="sidebar"><div class="sidebar-crate"><h2><a href="../../../halo2_backend/index.html">halo2_backend</a><span class="version">0.3.0</span></h2></div><div class="sidebar-elems"><h2><a href="index.html">In halo2_backend::plonk::verifier</a></h2></div></nav><div class="sidebar-resizer"></div><main><div class="width-limiter"><rustdoc-search></rustdoc-search><section id="main-content" class="content"><div class="main-heading"><h1>Function <a href="../../index.html">halo2_backend</a>::<wbr><a href="../index.html">plonk</a>::<wbr><a href="index.html">verifier</a>::<wbr><a class="fn" href="#">verify_proof</a><button id="copy-path" title="Copy item path to clipboard">Copy item path</button></h1><span class="out-of-band"><a class="src" href="../../../src/halo2_backend/plonk/verifier.rs.html#52-518">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>−</span>]</button></span></div><pre class="rust item-decl"><code>pub fn verify_proof<'params, Scheme: <a class="trait" href="../../poly/commitment/trait.CommitmentScheme.html" title="trait halo2_backend::poly::commitment::CommitmentScheme">CommitmentScheme</a>, V: <a class="trait" href="../../poly/commitment/trait.Verifier.html" title="trait halo2_backend::poly::commitment::Verifier">Verifier</a><'params, Scheme>, E: <a class="trait" href="../../transcript/trait.EncodedChallenge.html" title="trait halo2_backend::transcript::EncodedChallenge">EncodedChallenge</a><Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Curve" title="type halo2_backend::poly::commitment::CommitmentScheme::Curve">Curve</a>>, T: <a class="trait" href="../../transcript/trait.TranscriptRead.html" title="trait halo2_backend::transcript::TranscriptRead">TranscriptRead</a><Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Curve" title="type halo2_backend::poly::commitment::CommitmentScheme::Curve">Curve</a>, E>, Strategy: <a class="trait" href="../../poly/trait.VerificationStrategy.html" title="trait halo2_backend::poly::VerificationStrategy">VerificationStrategy</a><'params, Scheme, V>>(
+</head><body class="rustdoc fn"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle" title="show sidebar"></button></nav><nav class="sidebar"><div class="sidebar-crate"><h2><a href="../../../halo2_backend/index.html">halo2_backend</a><span class="version">0.3.0</span></h2></div><div class="sidebar-elems"><h2><a href="index.html">In halo2_backend::plonk::verifier</a></h2></div></nav><div class="sidebar-resizer"></div><main><div class="width-limiter"><rustdoc-search></rustdoc-search><section id="main-content" class="content"><div class="main-heading"><h1>Function <a href="../../index.html">halo2_backend</a>::<wbr><a href="../index.html">plonk</a>::<wbr><a href="index.html">verifier</a>::<wbr><a class="fn" href="#">verify_proof</a><button id="copy-path" title="Copy item path to clipboard">Copy item path</button></h1><span class="out-of-band"><a class="src" href="../../../src/halo2_backend/plonk/verifier.rs.html#52-521">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>−</span>]</button></span></div><pre class="rust item-decl"><code>pub fn verify_proof<'params, Scheme: <a class="trait" href="../../poly/commitment/trait.CommitmentScheme.html" title="trait halo2_backend::poly::commitment::CommitmentScheme">CommitmentScheme</a>, V: <a class="trait" href="../../poly/commitment/trait.Verifier.html" title="trait halo2_backend::poly::commitment::Verifier">Verifier</a><'params, Scheme>, E: <a class="trait" href="../../transcript/trait.EncodedChallenge.html" title="trait halo2_backend::transcript::EncodedChallenge">EncodedChallenge</a><Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Curve" title="type halo2_backend::poly::commitment::CommitmentScheme::Curve">Curve</a>>, T: <a class="trait" href="../../transcript/trait.TranscriptRead.html" title="trait halo2_backend::transcript::TranscriptRead">TranscriptRead</a><Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Curve" title="type halo2_backend::poly::commitment::CommitmentScheme::Curve">Curve</a>, E>, Strategy: <a class="trait" href="../../poly/trait.VerificationStrategy.html" title="trait halo2_backend::poly::VerificationStrategy">VerificationStrategy</a><'params, Scheme, V>>(
params: &'params Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.ParamsVerifier" title="type halo2_backend::poly::commitment::CommitmentScheme::ParamsVerifier">ParamsVerifier</a>,
vk: &<a class="struct" href="../struct.VerifyingKey.html" title="struct halo2_backend::plonk::VerifyingKey">VerifyingKey</a><Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Curve" title="type halo2_backend::poly::commitment::CommitmentScheme::Curve">Curve</a>>,
strategy: Strategy,
- instances: &[&[&[Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Scalar" title="type halo2_backend::poly::commitment::CommitmentScheme::Scalar">Scalar</a>]]],
+ instances: &[<a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a><<a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a><Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Scalar" title="type halo2_backend::poly::commitment::CommitmentScheme::Scalar">Scalar</a>>>],
transcript: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&mut T</a>
) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a><Strategy::<a class="associatedtype" href="../../poly/trait.VerificationStrategy.html#associatedtype.Output" title="type halo2_backend::poly::VerificationStrategy::Output">Output</a>, <a class="enum" href="../enum.Error.html" title="enum halo2_backend::plonk::Error">Error</a>><div class="where">where
Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Scalar" title="type halo2_backend::poly::commitment::CommitmentScheme::Scalar">Scalar</a>: WithSmallOrderMulGroup<3> + FromUniformBytes<64>,</div></code></pre><details class="toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>Returns a boolean indicating whether or not the proof is valid</p>
diff --git a/halo2_backend/plonk/verifier/fn.verify_proof_single.html b/halo2_backend/plonk/verifier/fn.verify_proof_single.html
index 57a03c830d..46be34535a 100644
--- a/halo2_backend/plonk/verifier/fn.verify_proof_single.html
+++ b/halo2_backend/plonk/verifier/fn.verify_proof_single.html
@@ -18,7 +18,7 @@
params: &'params Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.ParamsVerifier" title="type halo2_backend::poly::commitment::CommitmentScheme::ParamsVerifier">ParamsVerifier</a>,
vk: &<a class="struct" href="../struct.VerifyingKey.html" title="struct halo2_backend::plonk::VerifyingKey">VerifyingKey</a><Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Curve" title="type halo2_backend::poly::commitment::CommitmentScheme::Curve">Curve</a>>,
strategy: Strategy,
- instance: &[&[Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Scalar" title="type halo2_backend::poly::commitment::CommitmentScheme::Scalar">Scalar</a>]],
+ instance: <a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a><<a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a><Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Scalar" title="type halo2_backend::poly::commitment::CommitmentScheme::Scalar">Scalar</a>>>,
transcript: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&mut T</a>
) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a><Strategy::<a class="associatedtype" href="../../poly/trait.VerificationStrategy.html#associatedtype.Output" title="type halo2_backend::poly::VerificationStrategy::Output">Output</a>, <a class="enum" href="../enum.Error.html" title="enum halo2_backend::plonk::Error">Error</a>><div class="where">where
Scheme::<a class="associatedtype" href="../../poly/commitment/trait.CommitmentScheme.html#associatedtype.Scalar" title="type halo2_backend::poly::commitment::CommitmentScheme::Scalar">Scalar</a>: WithSmallOrderMulGroup<3> + FromUniformBytes<64>,
diff --git a/halo2_backend/plonk/verifier/index.html b/halo2_backend/plonk/verifier/index.html
index ffe23b5b2a..d8ce76a5ac 100644
--- a/halo2_backend/plonk/verifier/index.html
+++ b/halo2_backend/plonk/verifier/index.html
@@ -14,7 +14,7 @@
});
</script>
-</head><body class="rustdoc mod"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle" title="show sidebar"></button></nav><nav class="sidebar"><div class="sidebar-crate"><h2><a href="../../../halo2_backend/index.html">halo2_backend</a><span class="version">0.3.0</span></h2></div><h2 class="location"><a href="#">Module verifier</a></h2><div class="sidebar-elems"><section><ul class="block"><li><a href="#structs">Structs</a></li><li><a href="#functions">Functions</a></li></ul></section><h2><a href="../index.html">In halo2_backend::plonk</a></h2></div></nav><div class="sidebar-resizer"></div><main><div class="width-limiter"><rustdoc-search></rustdoc-search><section id="main-content" class="content"><div class="main-heading"><h1>Module <a href="../../index.html">halo2_backend</a>::<wbr><a href="../index.html">plonk</a>::<wbr><a class="mod" href="#">verifier</a><button id="copy-path" title="Copy item path to clipboard">Copy item path</button></h1><span class="out-of-band"><a class="src" href="../../../src/halo2_backend/plonk/verifier.rs.html#1-518">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>−</span>]</button></span></div><details class="toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>Verify a plonk proof</p>
+</head><body class="rustdoc mod"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle" title="show sidebar"></button></nav><nav class="sidebar"><div class="sidebar-crate"><h2><a href="../../../halo2_backend/index.html">halo2_backend</a><span class="version">0.3.0</span></h2></div><h2 class="location"><a href="#">Module verifier</a></h2><div class="sidebar-elems"><section><ul class="block"><li><a href="#structs">Structs</a></li><li><a href="#functions">Functions</a></li></ul></section><h2><a href="../index.html">In halo2_backend::plonk</a></h2></div></nav><div class="sidebar-resizer"></div><main><div class="width-limiter"><rustdoc-search></rustdoc-search><section id="main-content" class="content"><div class="main-heading"><h1>Module <a href="../../index.html">halo2_backend</a>::<wbr><a href="../index.html">plonk</a>::<wbr><a class="mod" href="#">verifier</a><button id="copy-path" title="Copy item path to clipboard">Copy item path</button></h1><span class="out-of-band"><a class="src" href="../../../src/halo2_backend/plonk/verifier.rs.html#1-521">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>−</span>]</button></span></div><details class="toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>Verify a plonk proof</p>
</div></details><h2 id="structs" class="section-header">Structs<a href="#structs" class="anchor">§</a></h2><ul class="item-table"><li><div class="item-name"><a class="struct" href="struct.BatchVerifier.html" title="struct halo2_backend::plonk::verifier::BatchVerifier">BatchVerifier</a></div><div class="desc docblock-short">A verifier that checks multiple proofs in a batch. <strong>This requires the
<code>batch</code> crate feature to be enabled.</strong></div></li></ul><h2 id="functions" class="section-header">Functions<a href="#functions" class="anchor">§</a></h2><ul class="item-table"><li><div class="item-name"><a class="fn" href="fn.verify_proof.html" title="fn halo2_backend::plonk::verifier::verify_proof">verify_proof</a></div><div class="desc docblock-short">Returns a boolean indicating whether or not the proof is valid</div></li><li><div class="item-name"><a class="fn" href="fn.verify_proof_single.html" title="fn halo2_backend::plonk::verifier::verify_proof_single">verify_proof_single</a></div><div class="desc docblock-short">Returns a boolean indicating whether or not the proof is valid. Verifies a single proof (not
batched).</div></li></ul></section></div></main></body></html>
\ No newline at end of file
diff --git a/halo2_backend/plonk/verifier/struct.BatchVerifier.html b/halo2_backend/plonk/verifier/struct.BatchVerifier.html
index 15654a1b9d..29c133dc38 100644
--- a/halo2_backend/plonk/verifier/struct.BatchVerifier.html
+++ b/halo2_backend/plonk/verifier/struct.BatchVerifier.html
@@ -16,10 +16,10 @@
</head><body class="rustdoc struct"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle" title="show sidebar"></button></nav><nav class="sidebar"><div class="sidebar-crate"><h2><a href="../../../halo2_backend/index.html">halo2_backend</a><span class="version">0.3.0</span></h2></div><h2 class="location"><a href="#">BatchVerifier</a></h2><div class="sidebar-elems"><section><h3><a href="#implementations">Methods</a></h3><ul class="block method"><li><a href="#method.add_proof">add_proof</a></li><li><a href="#method.finalize">finalize</a></li><li><a href="#method.new">new</a></li></ul><h3><a href="#trait-implementations">Trait Implementations</a></h3><ul class="block trait-implementation"><li><a href="#impl-Debug-for-BatchVerifier%3CC%3E">Debug</a></li><li><a href="#impl-Default-for-BatchVerifier%3CC%3E">Default</a></li></ul><h3><a href="#synthetic-implementations">Auto Trait Implementations</a></h3><ul class="block synthetic-implementation"><li><a href="#impl-Freeze-for-BatchVerifier%3CC%3E">Freeze</a></li><li><a href="#impl-RefUnwindSafe-for-BatchVerifier%3CC%3E">RefUnwindSafe</a></li><li><a href="#impl-Send-for-BatchVerifier%3CC%3E">Send</a></li><li><a href="#impl-Sync-for-BatchVerifier%3CC%3E">Sync</a></li><li><a href="#impl-Unpin-for-BatchVerifier%3CC%3E">Unpin</a></li><li><a href="#impl-UnwindSafe-for-BatchVerifier%3CC%3E">UnwindSafe</a></li></ul><h3><a href="#blanket-implementations">Blanket Implementations</a></h3><ul class="block blanket-implementation"><li><a href="#impl-Any-for-T">Any</a></li><li><a href="#impl-Borrow%3CT%3E-for-T">Borrow<T></a></li><li><a href="#impl-BorrowMut%3CT%3E-for-T">BorrowMut<T></a></li><li><a href="#impl-Conv-for-T">Conv</a></li><li><a href="#impl-FmtForward-for-T">FmtForward</a></li><li><a href="#impl-From%3CT%3E-for-T">From<T></a></li><li><a href="#impl-Instrument-for-T">Instrument</a></li><li><a href="#impl-Into%3CU%3E-for-T">Into<U></a></li><li><a href="#impl-IntoEither-for-T">IntoEither</a></li><li><a href="#impl-Pipe-for-T">Pipe</a></li><li><a href="#impl-Pointable-for-T">Pointable</a></li><li><a href="#impl-Same-for-T">Same</a></li><li><a href="#impl-Tap-for-T">Tap</a></li><li><a href="#impl-TryConv-for-T">TryConv</a></li><li><a href="#impl-TryFrom%3CU%3E-for-T">TryFrom<U></a></li><li><a href="#impl-TryInto%3CU%3E-for-T">TryInto<U></a></li><li><a href="#impl-VZip%3CV%3E-for-T">VZip<V></a></li><li><a href="#impl-WithSubscriber-for-T">WithSubscriber</a></li></ul></section><h2><a href="index.html">In halo2_backend::plonk::verifier</a></h2></div></nav><div class="sidebar-resizer"></div><main><div class="width-limiter"><rustdoc-search></rustdoc-search><section id="main-content" class="content"><div class="main-heading"><h1>Struct <a href="../../index.html">halo2_backend</a>::<wbr><a href="../index.html">plonk</a>::<wbr><a href="index.html">verifier</a>::<wbr><a class="struct" href="#">BatchVerifier</a><button id="copy-path" title="Copy item path to clipboard">Copy item path</button></h1><span class="out-of-band"><a class="src" href="../../../src/halo2_backend/plonk/verifier/batch.rs.html#67-69">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>−</span>]</button></span></div><pre class="rust item-decl"><code>pub struct BatchVerifier<C: <a class="trait" href="../../arithmetic/trait.CurveAffine.html" title="trait halo2_backend::arithmetic::CurveAffine">CurveAffine</a>> { <span class="comment">/* private fields */</span> }</code></pre><details class="toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>A verifier that checks multiple proofs in a batch. <strong>This requires the
<code>batch</code> crate feature to be enabled.</strong></p>
-</div></details><h2 id="implementations" class="section-header">Implementations<a href="#implementations" class="anchor">§</a></h2><div id="implementations-list"><details class="toggle implementors-toggle" open><summary><section id="impl-BatchVerifier%3CC%3E" class="impl"><a class="src rightside" href="../../../src/halo2_backend/plonk/verifier/batch.rs.html#71-137">source</a><a href="#impl-BatchVerifier%3CC%3E" class="anchor">§</a><h3 class="code-header">impl<C: <a class="trait" href="../../arithmetic/trait.CurveAffine.html" title="trait halo2_backend::arithmetic::CurveAffine">CurveAffine</a>> <a class="struct" href="struct.BatchVerifier.html" title="struct halo2_backend::plonk::verifier::BatchVerifier">BatchVerifier</a><C><div class="where">where
+</div></details><h2 id="implementations" class="section-header">Implementations<a href="#implementations" class="anchor">§</a></h2><div id="implementations-list"><details class="toggle implementors-toggle" open><summary><section id="impl-BatchVerifier%3CC%3E" class="impl"><a class="src rightside" href="../../../src/halo2_backend/plonk/verifier/batch.rs.html#71-129">source</a><a href="#impl-BatchVerifier%3CC%3E" class="anchor">§</a><h3 class="code-header">impl<C: <a class="trait" href="../../arithmetic/trait.CurveAffine.html" title="trait halo2_backend::arithmetic::CurveAffine">CurveAffine</a>> <a class="struct" href="struct.BatchVerifier.html" title="struct halo2_backend::plonk::verifier::BatchVerifier">BatchVerifier</a><C><div class="where">where
C::Scalar: FromUniformBytes<64>,</div></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.new" class="method"><a class="src rightside" href="../../../src/halo2_backend/plonk/verifier/batch.rs.html#76-78">source</a><h4 class="code-header">pub fn <a href="#method.new" class="fn">new</a>() -> Self</h4></section></summary><div class="docblock"><p>Constructs a new batch verifier.</p>
</div></details><details class="toggle method-toggle" open><summary><section id="method.add_proof" class="method"><a class="src rightside" href="../../../src/halo2_backend/plonk/verifier/batch.rs.html#81-83">source</a><h4 class="code-header">pub fn <a href="#method.add_proof" class="fn">add_proof</a>(&mut self, instances: <a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a><<a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a><<a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a><C::Scalar>>>, proof: <a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a><<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u8.html">u8</a>>)</h4></section></summary><div class="docblock"><p>Adds a proof to the batch.</p>
-</div></details><details class="toggle method-toggle" open><summary><section id="method.finalize" class="method"><a class="src rightside" href="../../../src/halo2_backend/plonk/verifier/batch.rs.html#93-136">source</a><h4 class="code-header">pub fn <a href="#method.finalize" class="fn">finalize</a>(
+</div></details><details class="toggle method-toggle" open><summary><section id="method.finalize" class="method"><a class="src rightside" href="../../../src/halo2_backend/plonk/verifier/batch.rs.html#93-128">source</a><h4 class="code-header">pub fn <a href="#method.finalize" class="fn">finalize</a>(
self,
params: &<a class="type" href="../../poly/ipa/commitment/type.ParamsVerifierIPA.html" title="type halo2_backend::poly::ipa::commitment::ParamsVerifierIPA">ParamsVerifierIPA</a><C>,
vk: &<a class="struct" href="../struct.VerifyingKey.html" title="struct halo2_backend::plonk::VerifyingKey">VerifyingKey</a><C>
diff --git a/halo2_frontend/circuit/fn.compile_circuit.html b/halo2_frontend/circuit/fn.compile_circuit.html
index 08300407f5..fa942fd345 100644
--- a/halo2_frontend/circuit/fn.compile_circuit.html
+++ b/halo2_frontend/circuit/fn.compile_circuit.html
@@ -18,7 +18,7 @@
k: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u32.html">u32</a>,
circuit: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&ConcreteCircuit</a>,
compress_selectors: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a>
-) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a><(<a class="struct" href="../../halo2_middleware/circuit/struct.CompiledCircuit.html" title="struct halo2_middleware::circuit::CompiledCircuit">CompiledCircuit</a><F>, ConcreteCircuit::<a class="associatedtype" href="../plonk/circuit/trait.Circuit.html#associatedtype.Config" title="type halo2_frontend::plonk::circuit::Circuit::Config">Config</a>, <a class="struct" href="../plonk/circuit/constraint_system/struct.ConstraintSystem.html" title="struct halo2_frontend::plonk::circuit::constraint_system::ConstraintSystem">ConstraintSystem</a><F>), <a class="enum" href="../plonk/error/enum.Error.html" title="enum halo2_frontend::plonk::error::Error">Error</a>></code></pre><details class="toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>Compile a circuit. Runs configure and synthesize on the circuit in order to materialize the
+) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a><(CompiledCircuit<F>, ConcreteCircuit::<a class="associatedtype" href="../plonk/circuit/trait.Circuit.html#associatedtype.Config" title="type halo2_frontend::plonk::circuit::Circuit::Config">Config</a>, <a class="struct" href="../plonk/circuit/constraint_system/struct.ConstraintSystem.html" title="struct halo2_frontend::plonk::circuit::constraint_system::ConstraintSystem">ConstraintSystem</a><F>), <a class="enum" href="../plonk/error/enum.Error.html" title="enum halo2_frontend::plonk::error::Error">Error</a>></code></pre><details class="toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>Compile a circuit. Runs configure and synthesize on the circuit in order to materialize the
circuit into its columns and the column configuration; as well as doing the fixed column and
copy constraints assignments. The output of this function can then be used for the key
generation, and proof generation.
diff --git a/halo2_frontend/circuit/layouter/enum.RegionColumn.html b/halo2_frontend/circuit/layouter/enum.RegionColumn.html
index e0288cac31..1effc3c858 100644
--- a/halo2_frontend/circuit/layouter/enum.RegionColumn.html
+++ b/halo2_frontend/circuit/layouter/enum.RegionColumn.html
@@ -15,13 +15,13 @@
</script>
</head><body class="rustdoc enum"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle" title="show sidebar"></button></nav><nav class="sidebar"><div class="sidebar-crate"><h2><a href="../../../halo2_frontend/index.html">halo2_frontend</a><span class="version">0.3.0</span></h2></div><h2 class="location"><a href="#">RegionColumn</a></h2><div class="sidebar-elems"><section><h3><a href="#variants">Variants</a></h3><ul class="block variant"><li><a href="#variant.Column">Column</a></li><li><a href="#variant.Selector">Selector</a></li></ul><h3><a href="#trait-implementations">Trait Implementations</a></h3><ul class="block trait-implementation"><li><a href="#impl-Clone-for-RegionColumn">Clone</a></li><li><a href="#impl-Copy-for-RegionColumn">Copy</a></li><li><a href="#impl-Debug-for-RegionColumn">Debug</a></li><li><a href="#impl-Eq-for-RegionColumn">Eq</a></li><li><a href="#impl-From%3CColumn%3CAny%3E%3E-for-RegionColumn">From<Column<Any>></a></li><li><a href="#impl-From%3CSelector%3E-for-RegionColumn">From<Selector></a></li><li><a href="#impl-Hash-for-RegionColumn">Hash</a></li><li><a href="#impl-Ord-for-RegionColumn">Ord</a></li><li><a href="#impl-PartialEq-for-RegionColumn">PartialEq</a></li><li><a href="#impl-PartialOrd-for-RegionColumn">PartialOrd</a></li><li><a href="#impl-StructuralPartialEq-for-RegionColumn">StructuralPartialEq</a></li></ul><h3><a href="#synthetic-implementations">Auto Trait Implementations</a></h3><ul class="block synthetic-implementation"><li><a href="#impl-Freeze-for-RegionColumn">Freeze</a></li><li><a href="#impl-RefUnwindSafe-for-RegionColumn">RefUnwindSafe</a></li><li><a href="#impl-Send-for-RegionColumn">Send</a></li><li><a href="#impl-Sync-for-RegionColumn">Sync</a></li><li><a href="#impl-Unpin-for-RegionColumn">Unpin</a></li><li><a href="#impl-UnwindSafe-for-RegionColumn">UnwindSafe</a></li></ul><h3><a href="#blanket-implementations">Blanket Implementations</a></h3><ul class="block blanket-implementation"><li><a href="#impl-Any-for-T">Any</a></li><li><a href="#impl-Borrow%3CT%3E-for-T">Borrow<T></a></li><li><a href="#impl-BorrowMut%3CT%3E-for-T">BorrowMut<T></a></li><li><a href="#impl-Conv-for-T">Conv</a></li><li><a href="#impl-FmtForward-for-T">FmtForward</a></li><li><a href="#impl-From%3CT%3E-for-T">From<T></a></li><li><a href="#impl-Instrument-for-T">Instrument</a></li><li><a href="#impl-Into%3CU%3E-for-T">Into<U></a></li><li><a href="#impl-IntoEither-for-T">IntoEither</a></li><li><a href="#impl-Pipe-for-T">Pipe</a></li><li><a href="#impl-Pointable-for-T">Pointable</a></li><li><a href="#impl-SyncDeps-for-T">SyncDeps</a></li><li><a href="#impl-Tap-for-T">Tap</a></li><li><a href="#impl-ToOwned-for-T">ToOwned</a></li><li><a href="#impl-TryConv-for-T">TryConv</a></li><li><a href="#impl-TryFrom%3CU%3E-for-T">TryFrom<U></a></li><li><a href="#impl-TryInto%3CU%3E-for-T">TryInto<U></a></li><li><a href="#impl-VZip%3CV%3E-for-T">VZip<V></a></li><li><a href="#impl-WithSubscriber-for-T">WithSubscriber</a></li></ul></section><h2><a href="index.html">In halo2_frontend::circuit::layouter</a></h2></div></nav><div class="sidebar-resizer"></div><main><div class="width-limiter"><rustdoc-search></rustdoc-search><section id="main-content" class="content"><div class="main-heading"><h1>Enum <a href="../../index.html">halo2_frontend</a>::<wbr><a href="../index.html">circuit</a>::<wbr><a href="index.html">layouter</a>::<wbr><a class="enum" href="#">RegionColumn</a><button id="copy-path" title="Copy item path to clipboard">Copy item path</button></h1><span class="out-of-band"><a class="src" href="../../../src/halo2_frontend/circuit/layouter.rs.html#151-156">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>−</span>]</button></span></div><pre class="rust item-decl"><code>pub enum RegionColumn {
- Column(<a class="struct" href="../../plonk/circuit/expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="enum" href="../../../halo2_middleware/circuit/enum.Any.html" title="enum halo2_middleware::circuit::Any">Any</a>>),
+ Column(<a class="struct" href="../../plonk/circuit/expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><Any>),
Selector(<a class="struct" href="../../plonk/circuit/expression/struct.Selector.html" title="struct halo2_frontend::plonk::circuit::expression::Selector">Selector</a>),
}</code></pre><details class="toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>The virtual column involved in a region. This includes concrete columns,
as well as selectors that are not concrete columns at this stage.</p>
-</div></details><h2 id="variants" class="variants section-header">Variants<a href="#variants" class="anchor">§</a></h2><div class="variants"><section id="variant.Column" class="variant"><a href="#variant.Column" class="anchor">§</a><h3 class="code-header">Column(<a class="struct" href="../../plonk/circuit/expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="enum" href="../../../halo2_middleware/circuit/enum.Any.html" title="enum halo2_middleware::circuit::Any">Any</a>>)</h3></section><div class="docblock"><p>Concrete column</p>
+</div></details><h2 id="variants" class="variants section-header">Variants<a href="#variants" class="anchor">§</a></h2><div class="variants"><section id="variant.Column" class="variant"><a href="#variant.Column" class="anchor">§</a><h3 class="code-header">Column(<a class="struct" href="../../plonk/circuit/expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><Any>)</h3></section><div class="docblock"><p>Concrete column</p>
</div><section id="variant.Selector" class="variant"><a href="#variant.Selector" class="anchor">§</a><h3 class="code-header">Selector(<a class="struct" href="../../plonk/circuit/expression/struct.Selector.html" title="struct halo2_frontend::plonk::circuit::expression::Selector">Selector</a>)</h3></section><div class="docblock"><p>Virtual column representing a (boolean) selector</p>
-</div></div><h2 id="trait-implementations" class="section-header">Trait Implementations<a href="#trait-implementations" class="anchor">§</a></h2><div id="trait-implementations-list"><details class="toggle implementors-toggle" open><summary><section id="impl-Clone-for-RegionColumn" class="impl"><a class="src rightside" href="../../../src/halo2_frontend/circuit/layouter.rs.html#150">source</a><a href="#impl-Clone-for-RegionColumn" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a> for <a class="enum" href="enum.RegionColumn.html" title="enum halo2_frontend::circuit::layouter::RegionColumn">RegionColumn</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.clone" class="method trait-impl"><a class="src rightside" href="../../../src/halo2_frontend/circuit/layouter.rs.html#150">source</a><a href="#method.clone" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#tymethod.clone" class="fn">clone</a>(&self) -> <a class="enum" href="enum.RegionColumn.html" title="enum halo2_frontend::circuit::layouter::RegionColumn">RegionColumn</a></h4></section></summary><div class='docblock'>Returns a copy of the value. <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#tymethod.clone">Read more</a></div></details><details class="toggle method-toggle" open><summary><section id="method.clone_from" class="method trait-impl"><span class="rightside"><span class="since" title="Stable since Rust version 1.0.0">1.0.0</span> · <a class="src" href="https://doc.rust-lang.org/nightly/src/core/clone.rs.html#169">source</a></span><a href="#method.clone_from" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#method.clone_from" class="fn">clone_from</a>(&mut self, source: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&Self</a>)</h4></section></summary><div class='docblock'>Performs copy-assignment from <code>source</code>. <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#method.clone_from">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-Debug-for-RegionColumn" class="impl"><a class="src rightside" href="../../../src/halo2_frontend/circuit/layouter.rs.html#150">source</a><a href="#impl-Debug-for-RegionColumn" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a> for <a class="enum" href="enum.RegionColumn.html" title="enum halo2_frontend::circuit::layouter::RegionColumn">RegionColumn</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.fmt" class="method trait-impl"><a class="src rightside" href="../../../src/halo2_frontend/circuit/layouter.rs.html#150">source</a><a href="#method.fmt" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt" class="fn">fmt</a>(&self, f: &mut <a class="struct" href="https://doc.rust-lang.org/nightly/core/fmt/struct.Formatter.html" title="struct core::fmt::Formatter">Formatter</a><'_>) -> <a class="type" href="https://doc.rust-lang.org/nightly/core/fmt/type.Result.html" title="type core::fmt::Result">Result</a></h4></section></summary><div class='docblock'>Formats the value using the given formatter. <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-From%3CColumn%3CAny%3E%3E-for-RegionColumn" class="impl"><a class="src rightside" href="../../../src/halo2_frontend/circuit/layouter.rs.html#158-162">source</a><a href="#impl-From%3CColumn%3CAny%3E%3E-for-RegionColumn" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html" title="trait core::convert::From">From</a><<a class="struct" href="../../plonk/circuit/expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="enum" href="../../../halo2_middleware/circuit/enum.Any.html" title="enum halo2_middleware::circuit::Any">Any</a>>> for <a class="enum" href="enum.RegionColumn.html" title="enum halo2_frontend::circuit::layouter::RegionColumn">RegionColumn</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.from" class="method trait-impl"><a class="src rightside" href="../../../src/halo2_frontend/circuit/layouter.rs.html#159-161">source</a><a href="#method.from" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html#tymethod.from" class="fn">from</a>(column: <a class="struct" href="../../plonk/circuit/expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="enum" href="../../../halo2_middleware/circuit/enum.Any.html" title="enum halo2_middleware::circuit::Any">Any</a>>) -> <a class="enum" href="enum.RegionColumn.html" title="enum halo2_frontend::circuit::layouter::RegionColumn">RegionColumn</a></h4></section></summary><div class='docblock'>Converts to this type from the input type.</div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-From%3CSelector%3E-for-RegionColumn" class="impl"><a class="src rightside" href="../../../src/halo2_frontend/circuit/layouter.rs.html#164-168">source</a><a href="#impl-From%3CSelector%3E-for-RegionColumn" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html" title="trait core::convert::From">From</a><<a class="struct" href="../../plonk/circuit/expression/struct.Selector.html" title="struct halo2_frontend::plonk::circuit::expression::Selector">Selector</a>> for <a class="enum" href="enum.RegionColumn.html" title="enum halo2_frontend::circuit::layouter::RegionColumn">RegionColumn</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.from-1" class="method trait-impl"><a class="src rightside" href="../../../src/halo2_frontend/circuit/layouter.rs.html#165-167">source</a><a href="#method.from-1" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html#tymethod.from" class="fn">from</a>(selector: <a class="struct" href="../../plonk/circuit/expression/struct.Selector.html" title="struct halo2_frontend::plonk::circuit::expression::Selector">Selector</a>) -> <a class="enum" href="enum.RegionColumn.html" title="enum halo2_frontend::circuit::layouter::RegionColumn">RegionColumn</a></h4></section></summary><div class='docblock'>Converts to this type from the input type.</div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-Hash-for-RegionColumn" class="impl"><a class="src rightside" href="../../../src/halo2_frontend/circuit/layouter.rs.html#150">source</a><a href="#impl-Hash-for-RegionColumn" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html" title="trait core::hash::Hash">Hash</a> for <a class="enum" href="enum.RegionColumn.html" title="enum halo2_frontend::circuit::layouter::RegionColumn">RegionColumn</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.hash" class="method trait-impl"><a class="src rightside" href="../../../src/halo2_frontend/circuit/layouter.rs.html#150">source</a><a href="#method.hash" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html#tymethod.hash" class="fn">hash</a><__H: <a class="trait" href="https://doc.rust-lang.org/nightly/core/hash/trait.Hasher.html" title="trait core::hash::Hasher">Hasher</a>>(&self, state: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&mut __H</a>)</h4></section></summary><div class='docblock'>Feeds this value into the given <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hasher.html" title="trait core::hash::Hasher"><code>Hasher</code></a>. <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html#tymethod.hash">Read more</a></div></details><details class="toggle method-toggle" open><summary><section id="method.hash_slice" class="method trait-impl"><span class="rightside"><span class="since" title="Stable since Rust version 1.3.0">1.3.0</span> · <a class="src" href="https://doc.rust-lang.org/nightly/src/core/hash/mod.rs.html#238-240">source</a></span><a href="#method.hash_slice" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html#method.hash_slice" class="fn">hash_slice</a><H>(data: &<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.slice.html">[Self]</a>, state: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&mut H</a>)<div class="where">where
+</div></div><h2 id="trait-implementations" class="section-header">Trait Implementations<a href="#trait-implementations" class="anchor">§</a></h2><div id="trait-implementations-list"><details class="toggle implementors-toggle" open><summary><section id="impl-Clone-for-RegionColumn" class="impl"><a class="src rightside" href="../../../src/halo2_frontend/circuit/layouter.rs.html#150">source</a><a href="#impl-Clone-for-RegionColumn" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a> for <a class="enum" href="enum.RegionColumn.html" title="enum halo2_frontend::circuit::layouter::RegionColumn">RegionColumn</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.clone" class="method trait-impl"><a class="src rightside" href="../../../src/halo2_frontend/circuit/layouter.rs.html#150">source</a><a href="#method.clone" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#tymethod.clone" class="fn">clone</a>(&self) -> <a class="enum" href="enum.RegionColumn.html" title="enum halo2_frontend::circuit::layouter::RegionColumn">RegionColumn</a></h4></section></summary><div class='docblock'>Returns a copy of the value. <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#tymethod.clone">Read more</a></div></details><details class="toggle method-toggle" open><summary><section id="method.clone_from" class="method trait-impl"><span class="rightside"><span class="since" title="Stable since Rust version 1.0.0">1.0.0</span> · <a class="src" href="https://doc.rust-lang.org/nightly/src/core/clone.rs.html#169">source</a></span><a href="#method.clone_from" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#method.clone_from" class="fn">clone_from</a>(&mut self, source: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&Self</a>)</h4></section></summary><div class='docblock'>Performs copy-assignment from <code>source</code>. <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#method.clone_from">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-Debug-for-RegionColumn" class="impl"><a class="src rightside" href="../../../src/halo2_frontend/circuit/layouter.rs.html#150">source</a><a href="#impl-Debug-for-RegionColumn" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a> for <a class="enum" href="enum.RegionColumn.html" title="enum halo2_frontend::circuit::layouter::RegionColumn">RegionColumn</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.fmt" class="method trait-impl"><a class="src rightside" href="../../../src/halo2_frontend/circuit/layouter.rs.html#150">source</a><a href="#method.fmt" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt" class="fn">fmt</a>(&self, f: &mut <a class="struct" href="https://doc.rust-lang.org/nightly/core/fmt/struct.Formatter.html" title="struct core::fmt::Formatter">Formatter</a><'_>) -> <a class="type" href="https://doc.rust-lang.org/nightly/core/fmt/type.Result.html" title="type core::fmt::Result">Result</a></h4></section></summary><div class='docblock'>Formats the value using the given formatter. <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-From%3CColumn%3CAny%3E%3E-for-RegionColumn" class="impl"><a class="src rightside" href="../../../src/halo2_frontend/circuit/layouter.rs.html#158-162">source</a><a href="#impl-From%3CColumn%3CAny%3E%3E-for-RegionColumn" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html" title="trait core::convert::From">From</a><<a class="struct" href="../../plonk/circuit/expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><Any>> for <a class="enum" href="enum.RegionColumn.html" title="enum halo2_frontend::circuit::layouter::RegionColumn">RegionColumn</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.from" class="method trait-impl"><a class="src rightside" href="../../../src/halo2_frontend/circuit/layouter.rs.html#159-161">source</a><a href="#method.from" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html#tymethod.from" class="fn">from</a>(column: <a class="struct" href="../../plonk/circuit/expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><Any>) -> <a class="enum" href="enum.RegionColumn.html" title="enum halo2_frontend::circuit::layouter::RegionColumn">RegionColumn</a></h4></section></summary><div class='docblock'>Converts to this type from the input type.</div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-From%3CSelector%3E-for-RegionColumn" class="impl"><a class="src rightside" href="../../../src/halo2_frontend/circuit/layouter.rs.html#164-168">source</a><a href="#impl-From%3CSelector%3E-for-RegionColumn" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html" title="trait core::convert::From">From</a><<a class="struct" href="../../plonk/circuit/expression/struct.Selector.html" title="struct halo2_frontend::plonk::circuit::expression::Selector">Selector</a>> for <a class="enum" href="enum.RegionColumn.html" title="enum halo2_frontend::circuit::layouter::RegionColumn">RegionColumn</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.from-1" class="method trait-impl"><a class="src rightside" href="../../../src/halo2_frontend/circuit/layouter.rs.html#165-167">source</a><a href="#method.from-1" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html#tymethod.from" class="fn">from</a>(selector: <a class="struct" href="../../plonk/circuit/expression/struct.Selector.html" title="struct halo2_frontend::plonk::circuit::expression::Selector">Selector</a>) -> <a class="enum" href="enum.RegionColumn.html" title="enum halo2_frontend::circuit::layouter::RegionColumn">RegionColumn</a></h4></section></summary><div class='docblock'>Converts to this type from the input type.</div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-Hash-for-RegionColumn" class="impl"><a class="src rightside" href="../../../src/halo2_frontend/circuit/layouter.rs.html#150">source</a><a href="#impl-Hash-for-RegionColumn" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html" title="trait core::hash::Hash">Hash</a> for <a class="enum" href="enum.RegionColumn.html" title="enum halo2_frontend::circuit::layouter::RegionColumn">RegionColumn</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.hash" class="method trait-impl"><a class="src rightside" href="../../../src/halo2_frontend/circuit/layouter.rs.html#150">source</a><a href="#method.hash" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html#tymethod.hash" class="fn">hash</a><__H: <a class="trait" href="https://doc.rust-lang.org/nightly/core/hash/trait.Hasher.html" title="trait core::hash::Hasher">Hasher</a>>(&self, state: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&mut __H</a>)</h4></section></summary><div class='docblock'>Feeds this value into the given <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hasher.html" title="trait core::hash::Hasher"><code>Hasher</code></a>. <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html#tymethod.hash">Read more</a></div></details><details class="toggle method-toggle" open><summary><section id="method.hash_slice" class="method trait-impl"><span class="rightside"><span class="since" title="Stable since Rust version 1.3.0">1.3.0</span> · <a class="src" href="https://doc.rust-lang.org/nightly/src/core/hash/mod.rs.html#238-240">source</a></span><a href="#method.hash_slice" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html#method.hash_slice" class="fn">hash_slice</a><H>(data: &<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.slice.html">[Self]</a>, state: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&mut H</a>)<div class="where">where
H: <a class="trait" href="https://doc.rust-lang.org/nightly/core/hash/trait.Hasher.html" title="trait core::hash::Hasher">Hasher</a>,
Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,</div></h4></section></summary><div class='docblock'>Feeds a slice of this type into the given <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hasher.html" title="trait core::hash::Hasher"><code>Hasher</code></a>. <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html#method.hash_slice">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-Ord-for-RegionColumn" class="impl"><a class="src rightside" href="../../../src/halo2_frontend/circuit/layouter.rs.html#170-179">source</a><a href="#impl-Ord-for-RegionColumn" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/cmp/trait.Ord.html" title="trait core::cmp::Ord">Ord</a> for <a class="enum" href="enum.RegionColumn.html" title="enum halo2_frontend::circuit::layouter::RegionColumn">RegionColumn</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.cmp" class="method trait-impl"><a class="src rightside" href="../../../src/halo2_frontend/circuit/layouter.rs.html#171-178">source</a><a href="#method.cmp" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.Ord.html#tymethod.cmp" class="fn">cmp</a>(&self, other: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&Self</a>) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/cmp/enum.Ordering.html" title="enum core::cmp::Ordering">Ordering</a></h4></section></summary><div class='docblock'>This method returns an <a href="https://doc.rust-lang.org/nightly/core/cmp/enum.Ordering.html" title="enum core::cmp::Ordering"><code>Ordering</code></a> between <code>self</code> and <code>other</code>. <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.Ord.html#tymethod.cmp">Read more</a></div></details><details class="toggle method-toggle" open><summary><section id="method.max" class="method trait-impl"><span class="rightside"><span class="since" title="Stable since Rust version 1.21.0">1.21.0</span> · <a class="src" href="https://doc.rust-lang.org/nightly/src/core/cmp.rs.html#856-858">source</a></span><a href="#method.max" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.Ord.html#method.max" class="fn">max</a>(self, other: Self) -> Self<div class="where">where
Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,</div></h4></section></summary><div class='docblock'>Compares and returns the maximum of two values. <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.Ord.html#method.max">Read more</a></div></details><details class="toggle method-toggle" open><summary><section id="method.min" class="method trait-impl"><span class="rightside"><span class="since" title="Stable since Rust version 1.21.0">1.21.0</span> · <a class="src" href="https://doc.rust-lang.org/nightly/src/core/cmp.rs.html#877-879">source</a></span><a href="#method.min" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.Ord.html#method.min" class="fn">min</a>(self, other: Self) -> Self<div class="where">where
diff --git a/halo2_frontend/circuit/layouter/struct.RegionShape.html b/halo2_frontend/circuit/layouter/struct.RegionShape.html
index 3828dfed9c..0c907e7598 100644
--- a/halo2_frontend/circuit/layouter/struct.RegionShape.html
+++ b/halo2_frontend/circuit/layouter/struct.RegionShape.html
@@ -58,7 +58,7 @@
) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a><<a class="struct" href="../struct.Cell.html" title="struct halo2_frontend::circuit::Cell">Cell</a>, <a class="enum" href="../../plonk/error/enum.Error.html" title="enum halo2_frontend::plonk::error::Error">Error</a>></h4></section></summary><div class='docblock'>Assigns a fixed value</div></details><details class="toggle method-toggle" open><summary><section id="method.name_column" class="method trait-impl"><a class="src rightside" href="../../../src/halo2_frontend/circuit/layouter.rs.html#300-306">source</a><a href="#method.name_column" class="anchor">§</a><h4 class="code-header">fn <a href="trait.RegionLayouter.html#tymethod.name_column" class="fn">name_column</a><'v>(
&'v mut self,
_annotation: &'v (dyn <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/function/trait.Fn.html" title="trait core::ops::function::Fn">Fn</a>() -> <a class="struct" href="https://doc.rust-lang.org/nightly/alloc/string/struct.String.html" title="struct alloc::string::String">String</a> + 'v),
- _column: <a class="struct" href="../../plonk/circuit/expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="enum" href="../../../halo2_middleware/circuit/enum.Any.html" title="enum halo2_middleware::circuit::Any">Any</a>>
+ _column: <a class="struct" href="../../plonk/circuit/expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><Any>
)</h4></section></summary><div class='docblock'>Allows the circuit implementor to name/annotate a Column within a Region context. <a href="trait.RegionLayouter.html#tymethod.name_column">Read more</a></div></details><details class="toggle method-toggle" open><summary><section id="method.constrain_constant" class="method trait-impl"><a class="src rightside" href="../../../src/halo2_frontend/circuit/layouter.rs.html#308-311">source</a><a href="#method.constrain_constant" class="anchor">§</a><h4 class="code-header">fn <a href="trait.RegionLayouter.html#tymethod.constrain_constant" class="fn">constrain_constant</a>(
&mut self,
_cell: <a class="struct" href="../struct.Cell.html" title="struct halo2_frontend::circuit::Cell">Cell</a>,
diff --git a/halo2_frontend/circuit/layouter/trait.RegionLayouter.html b/halo2_frontend/circuit/layouter/trait.RegionLayouter.html
index b25d94d049..f55ccb6b1e 100644
--- a/halo2_frontend/circuit/layouter/trait.RegionLayouter.html
+++ b/halo2_frontend/circuit/layouter/trait.RegionLayouter.html
@@ -25,7 +25,7 @@
<span class="item-spacer"></span> fn <a href="#tymethod.name_column" class="fn">name_column</a><'v>(
&'v mut self,
annotation: &'v (dyn <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/function/trait.Fn.html" title="trait core::ops::function::Fn">Fn</a>() -> <a class="struct" href="https://doc.rust-lang.org/nightly/alloc/string/struct.String.html" title="struct alloc::string::String">String</a> + 'v),
- column: <a class="struct" href="../../plonk/circuit/expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="enum" href="../../../halo2_middleware/circuit/enum.Any.html" title="enum halo2_middleware::circuit::Any">Any</a>>
+ column: <a class="struct" href="../../plonk/circuit/expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><Any>
);
<span class="item-spacer"></span> fn <a href="#tymethod.assign_advice" class="fn">assign_advice</a><'v>(
&'v mut self,
@@ -100,7 +100,7 @@
</div></details><details class="toggle method-toggle" open><summary><section id="tymethod.name_column" class="method"><a class="src rightside" href="../../../src/halo2_frontend/circuit/layouter.rs.html#72-76">source</a><h4 class="code-header">fn <a href="#tymethod.name_column" class="fn">name_column</a><'v>(
&'v mut self,
annotation: &'v (dyn <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/function/trait.Fn.html" title="trait core::ops::function::Fn">Fn</a>() -> <a class="struct" href="https://doc.rust-lang.org/nightly/alloc/string/struct.String.html" title="struct alloc::string::String">String</a> + 'v),
- column: <a class="struct" href="../../plonk/circuit/expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="enum" href="../../../halo2_middleware/circuit/enum.Any.html" title="enum halo2_middleware::circuit::Any">Any</a>>
+ column: <a class="struct" href="../../plonk/circuit/expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><Any>
)</h4></section></summary><div class="docblock"><p>Allows the circuit implementor to name/annotate a Column within a Region context.</p>
<p>This is useful in order to improve the amount of information that <code>prover.verify()</code>
and <code>prover.assert_satisfied()</code> can provide.</p>
diff --git a/halo2_frontend/circuit/struct.Cell.html b/halo2_frontend/circuit/struct.Cell.html
index 53a2cf55ee..a236f3ece8 100644
--- a/halo2_frontend/circuit/struct.Cell.html
+++ b/halo2_frontend/circuit/struct.Cell.html
@@ -17,11 +17,11 @@
</head><body class="rustdoc struct"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle" title="show sidebar"></button></nav><nav class="sidebar"><div class="sidebar-crate"><h2><a href="../../halo2_frontend/index.html">halo2_frontend</a><span class="version">0.3.0</span></h2></div><h2 class="location"><a href="#">Cell</a></h2><div class="sidebar-elems"><section><h3><a href="#fields">Fields</a></h3><ul class="block structfield"><li><a href="#structfield.column">column</a></li><li><a href="#structfield.region_index">region_index</a></li><li><a href="#structfield.row_offset">row_offset</a></li></ul><h3><a href="#trait-implementations">Trait Implementations</a></h3><ul class="block trait-implementation"><li><a href="#impl-Clone-for-Cell">Clone</a></li><li><a href="#impl-Copy-for-Cell">Copy</a></li><li><a href="#impl-Debug-for-Cell">Debug</a></li></ul><h3><a href="#synthetic-implementations">Auto Trait Implementations</a></h3><ul class="block synthetic-implementation"><li><a href="#impl-Freeze-for-Cell">Freeze</a></li><li><a href="#impl-RefUnwindSafe-for-Cell">RefUnwindSafe</a></li><li><a href="#impl-Send-for-Cell">Send</a></li><li><a href="#impl-Sync-for-Cell">Sync</a></li><li><a href="#impl-Unpin-for-Cell">Unpin</a></li><li><a href="#impl-UnwindSafe-for-Cell">UnwindSafe</a></li></ul><h3><a href="#blanket-implementations">Blanket Implementations</a></h3><ul class="block blanket-implementation"><li><a href="#impl-Any-for-T">Any</a></li><li><a href="#impl-Borrow%3CT%3E-for-T">Borrow<T></a></li><li><a href="#impl-BorrowMut%3CT%3E-for-T">BorrowMut<T></a></li><li><a href="#impl-Conv-for-T">Conv</a></li><li><a href="#impl-FmtForward-for-T">FmtForward</a></li><li><a href="#impl-From%3CT%3E-for-T">From<T></a></li><li><a href="#impl-Instrument-for-T">Instrument</a></li><li><a href="#impl-Into%3CU%3E-for-T">Into<U></a></li><li><a href="#impl-IntoEither-for-T">IntoEither</a></li><li><a href="#impl-Pipe-for-T">Pipe</a></li><li><a href="#impl-Pointable-for-T">Pointable</a></li><li><a href="#impl-SyncDeps-for-T">SyncDeps</a></li><li><a href="#impl-Tap-for-T">Tap</a></li><li><a href="#impl-ToOwned-for-T">ToOwned</a></li><li><a href="#impl-TryConv-for-T">TryConv</a></li><li><a href="#impl-TryFrom%3CU%3E-for-T">TryFrom<U></a></li><li><a href="#impl-TryInto%3CU%3E-for-T">TryInto<U></a></li><li><a href="#impl-VZip%3CV%3E-for-T">VZip<V></a></li><li><a href="#impl-WithSubscriber-for-T">WithSubscriber</a></li></ul></section><h2><a href="index.html">In halo2_frontend::circuit</a></h2></div></nav><div class="sidebar-resizer"></div><main><div class="width-limiter"><rustdoc-search></rustdoc-search><section id="main-content" class="content"><div class="main-heading"><h1>Struct <a href="../index.html">halo2_frontend</a>::<wbr><a href="index.html">circuit</a>::<wbr><a class="struct" href="#">Cell</a><button id="copy-path" title="Copy item path to clipboard">Copy item path</button></h1><span class="out-of-band"><a class="src" href="../../src/halo2_frontend/circuit.rs.html#475-482">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>−</span>]</button></span></div><pre class="rust item-decl"><code>pub struct Cell {
pub region_index: <a class="struct" href="struct.RegionIndex.html" title="struct halo2_frontend::circuit::RegionIndex">RegionIndex</a>,
pub row_offset: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>,
- pub column: <a class="struct" href="../plonk/circuit/expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="enum" href="../../halo2_middleware/circuit/enum.Any.html" title="enum halo2_middleware::circuit::Any">Any</a>>,
+ pub column: <a class="struct" href="../plonk/circuit/expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><Any>,
}</code></pre><details class="toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>A pointer to a cell within a circuit.</p>
</div></details><h2 id="fields" class="fields section-header">Fields<a href="#fields" class="anchor">§</a></h2><span id="structfield.region_index" class="structfield section-header"><a href="#structfield.region_index" class="anchor field">§</a><code>region_index: <a class="struct" href="struct.RegionIndex.html" title="struct halo2_frontend::circuit::RegionIndex">RegionIndex</a></code></span><div class="docblock"><p>Identifies the region in which this cell resides.</p>
</div><span id="structfield.row_offset" class="structfield section-header"><a href="#structfield.row_offset" class="anchor field">§</a><code>row_offset: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a></code></span><div class="docblock"><p>The relative offset of this cell within its region.</p>
-</div><span id="structfield.column" class="structfield section-header"><a href="#structfield.column" class="anchor field">§</a><code>column: <a class="struct" href="../plonk/circuit/expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="enum" href="../../halo2_middleware/circuit/enum.Any.html" title="enum halo2_middleware::circuit::Any">Any</a>></code></span><div class="docblock"><p>The column of this cell.</p>
+</div><span id="structfield.column" class="structfield section-header"><a href="#structfield.column" class="anchor field">§</a><code>column: <a class="struct" href="../plonk/circuit/expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><Any></code></span><div class="docblock"><p>The column of this cell.</p>
</div><h2 id="trait-implementations" class="section-header">Trait Implementations<a href="#trait-implementations" class="anchor">§</a></h2><div id="trait-implementations-list"><details class="toggle implementors-toggle" open><summary><section id="impl-Clone-for-Cell" class="impl"><a class="src rightside" href="../../src/halo2_frontend/circuit.rs.html#474">source</a><a href="#impl-Clone-for-Cell" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a> for <a class="struct" href="struct.Cell.html" title="struct halo2_frontend::circuit::Cell">Cell</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.clone" class="method trait-impl"><a class="src rightside" href="../../src/halo2_frontend/circuit.rs.html#474">source</a><a href="#method.clone" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#tymethod.clone" class="fn">clone</a>(&self) -> <a class="struct" href="struct.Cell.html" title="struct halo2_frontend::circuit::Cell">Cell</a></h4></section></summary><div class='docblock'>Returns a copy of the value. <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#tymethod.clone">Read more</a></div></details><details class="toggle method-toggle" open><summary><section id="method.clone_from" class="method trait-impl"><span class="rightside"><span class="since" title="Stable since Rust version 1.0.0">1.0.0</span> · <a class="src" href="https://doc.rust-lang.org/nightly/src/core/clone.rs.html#169">source</a></span><a href="#method.clone_from" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#method.clone_from" class="fn">clone_from</a>(&mut self, source: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&Self</a>)</h4></section></summary><div class='docblock'>Performs copy-assignment from <code>source</code>. <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#method.clone_from">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-Debug-for-Cell" class="impl"><a class="src rightside" href="../../src/halo2_frontend/circuit.rs.html#474">source</a><a href="#impl-Debug-for-Cell" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a> for <a class="struct" href="struct.Cell.html" title="struct halo2_frontend::circuit::Cell">Cell</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.fmt" class="method trait-impl"><a class="src rightside" href="../../src/halo2_frontend/circuit.rs.html#474">source</a><a href="#method.fmt" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt" class="fn">fmt</a>(&self, f: &mut <a class="struct" href="https://doc.rust-lang.org/nightly/core/fmt/struct.Formatter.html" title="struct core::fmt::Formatter">Formatter</a><'_>) -> <a class="type" href="https://doc.rust-lang.org/nightly/core/fmt/type.Result.html" title="type core::fmt::Result">Result</a></h4></section></summary><div class='docblock'>Formats the value using the given formatter. <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt">Read more</a></div></details></div></details><section id="impl-Copy-for-Cell" class="impl"><a class="src rightside" href="../../src/halo2_frontend/circuit.rs.html#474">source</a><a href="#impl-Copy-for-Cell" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Copy.html" title="trait core::marker::Copy">Copy</a> for <a class="struct" href="struct.Cell.html" title="struct halo2_frontend::circuit::Cell">Cell</a></h3></section></div><h2 id="synthetic-implementations" class="section-header">Auto Trait Implementations<a href="#synthetic-implementations" class="anchor">§</a></h2><div id="synthetic-implementations-list"><section id="impl-Freeze-for-Cell" class="impl"><a href="#impl-Freeze-for-Cell" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Freeze.html" title="trait core::marker::Freeze">Freeze</a> for <a class="struct" href="struct.Cell.html" title="struct halo2_frontend::circuit::Cell">Cell</a></h3></section><section id="impl-RefUnwindSafe-for-Cell" class="impl"><a href="#impl-RefUnwindSafe-for-Cell" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/panic/unwind_safe/trait.RefUnwindSafe.html" title="trait core::panic::unwind_safe::RefUnwindSafe">RefUnwindSafe</a> for <a class="struct" href="struct.Cell.html" title="struct halo2_frontend::circuit::Cell">Cell</a></h3></section><section id="impl-Send-for-Cell" class="impl"><a href="#impl-Send-for-Cell" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Send.html" title="trait core::marker::Send">Send</a> for <a class="struct" href="struct.Cell.html" title="struct halo2_frontend::circuit::Cell">Cell</a></h3></section><section id="impl-Sync-for-Cell" class="impl"><a href="#impl-Sync-for-Cell" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sync.html" title="trait core::marker::Sync">Sync</a> for <a class="struct" href="struct.Cell.html" title="struct halo2_frontend::circuit::Cell">Cell</a></h3></section><section id="impl-Unpin-for-Cell" class="impl"><a href="#impl-Unpin-for-Cell" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Unpin.html" title="trait core::marker::Unpin">Unpin</a> for <a class="struct" href="struct.Cell.html" title="struct halo2_frontend::circuit::Cell">Cell</a></h3></section><section id="impl-UnwindSafe-for-Cell" class="impl"><a href="#impl-UnwindSafe-for-Cell" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/panic/unwind_safe/trait.UnwindSafe.html" title="trait core::panic::unwind_safe::UnwindSafe">UnwindSafe</a> for <a class="struct" href="struct.Cell.html" title="struct halo2_frontend::circuit::Cell">Cell</a></h3></section></div><h2 id="blanket-implementations" class="section-header">Blanket Implementations<a href="#blanket-implementations" class="anchor">§</a></h2><div id="blanket-implementations-list"><details class="toggle implementors-toggle"><summary><section id="impl-Any-for-T" class="impl"><a class="src rightside" href="https://doc.rust-lang.org/nightly/src/core/any.rs.html#140">source</a><a href="#impl-Any-for-T" class="anchor">§</a><h3 class="code-header">impl<T> <a class="trait" href="https://doc.rust-lang.org/nightly/core/any/trait.Any.html" title="trait core::any::Any">Any</a> for T<div class="where">where
T: 'static + ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,</div></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.type_id" class="method trait-impl"><a class="src rightside" href="https://doc.rust-lang.org/nightly/src/core/any.rs.html#141">source</a><a href="#method.type_id" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/any/trait.Any.html#tymethod.type_id" class="fn">type_id</a>(&self) -> <a class="struct" href="https://doc.rust-lang.org/nightly/core/any/struct.TypeId.html" title="struct core::any::TypeId">TypeId</a></h4></section></summary><div class='docblock'>Gets the <code>TypeId</code> of <code>self</code>. <a href="https://doc.rust-lang.org/nightly/core/any/trait.Any.html#tymethod.type_id">Read more</a></div></details></div></details><details class="toggle implementors-toggle"><summary><section id="impl-Borrow%3CT%3E-for-T" class="impl"><a class="src rightside" href="https://doc.rust-lang.org/nightly/src/core/borrow.rs.html#208">source</a><a href="#impl-Borrow%3CT%3E-for-T" class="anchor">§</a><h3 class="code-header">impl<T> <a class="trait" href="https://doc.rust-lang.org/nightly/core/borrow/trait.Borrow.html" title="trait core::borrow::Borrow">Borrow</a><T> for T<div class="where">where
T: ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,</div></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.borrow" class="method trait-impl"><a class="src rightside" href="https://doc.rust-lang.org/nightly/src/core/borrow.rs.html#210">source</a><a href="#method.borrow" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/borrow/trait.Borrow.html#tymethod.borrow" class="fn">borrow</a>(&self) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&T</a></h4></section></summary><div class='docblock'>Immutably borrows from an owned value. <a href="https://doc.rust-lang.org/nightly/core/borrow/trait.Borrow.html#tymethod.borrow">Read more</a></div></details></div></details><details class="toggle implementors-toggle"><summary><section id="impl-BorrowMut%3CT%3E-for-T" class="impl"><a class="src rightside" href="https://doc.rust-lang.org/nightly/src/core/borrow.rs.html#216">source</a><a href="#impl-BorrowMut%3CT%3E-for-T" class="anchor">§</a><h3 class="code-header">impl<T> <a class="trait" href="https://doc.rust-lang.org/nightly/core/borrow/trait.BorrowMut.html" title="trait core::borrow::BorrowMut">BorrowMut</a><T> for T<div class="where">where
diff --git a/halo2_frontend/circuit/struct.Region.html b/halo2_frontend/circuit/struct.Region.html
index 8972bdd0a7..7ac0bfd81e 100644
--- a/halo2_frontend/circuit/struct.Region.html
+++ b/halo2_frontend/circuit/struct.Region.html
@@ -33,7 +33,7 @@
</div></details><details class="toggle method-toggle" open><summary><section id="method.name_column" class="method"><a class="src rightside" href="../../src/halo2_frontend/circuit.rs.html#597-605">source</a><h4 class="code-header">pub fn <a href="#method.name_column" class="fn">name_column</a><A, AR, T>(&mut self, annotation: A, column: T)<div class="where">where
A: <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/function/trait.Fn.html" title="trait core::ops::function::Fn">Fn</a>() -> AR,
AR: <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.Into.html" title="trait core::convert::Into">Into</a><<a class="struct" href="https://doc.rust-lang.org/nightly/alloc/string/struct.String.html" title="struct alloc::string::String">String</a>>,
- T: <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.Into.html" title="trait core::convert::Into">Into</a><<a class="struct" href="../plonk/circuit/expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="enum" href="../../halo2_middleware/circuit/enum.Any.html" title="enum halo2_middleware::circuit::Any">Any</a>>>,</div></h4></section></summary><div class="docblock"><p>Allows the circuit implementor to name/annotate a Column within a Region context.</p>
+ T: <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.Into.html" title="trait core::convert::Into">Into</a><<a class="struct" href="../plonk/circuit/expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><Any>>,</div></h4></section></summary><div class="docblock"><p>Allows the circuit implementor to name/annotate a Column within a Region context.</p>
<p>This is useful in order to improve the amount of information that <code>prover.verify()</code>
and <code>prover.assert_satisfied()</code> can provide.</p>
</div></details><details class="toggle method-toggle" open><summary><section id="method.assign_advice" class="method"><a class="src rightside" href="../../src/halo2_frontend/circuit.rs.html#610-638">source</a><h4 class="code-header">pub fn <a href="#method.assign_advice" class="fn">assign_advice</a><'v, V, VR, A, AR>(
diff --git a/halo2_frontend/circuit/struct.WitnessCalculator.html b/halo2_frontend/circuit/struct.WitnessCalculator.html
index fd90c06540..7b58516145 100644
--- a/halo2_frontend/circuit/struct.WitnessCalculator.html
+++ b/halo2_frontend/circuit/struct.WitnessCalculator.html
@@ -20,7 +20,7 @@
circuit: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&'a ConcreteCircuit</a>,
config: &'a ConcreteCircuit::<a class="associatedtype" href="../plonk/circuit/trait.Circuit.html#associatedtype.Config" title="type halo2_frontend::plonk::circuit::Circuit::Config">Config</a>,
cs: &'a <a class="struct" href="../plonk/circuit/constraint_system/struct.ConstraintSystem.html" title="struct halo2_frontend::plonk::circuit::constraint_system::ConstraintSystem">ConstraintSystem</a><F>,
- instances: &'a [&'a <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.slice.html">[F]</a>]
+ instances: &'a [<a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a><F>]
) -> Self</h4></section></summary><div class="docblock"><p>Create a new WitnessCalculator</p>
</div></details><details class="toggle method-toggle" open><summary><section id="method.calc" class="method"><a class="src rightside" href="../../src/halo2_frontend/circuit.rs.html#290-358">source</a><h4 class="code-header">pub fn <a href="#method.calc" class="fn">calc</a>(
&mut self,
diff --git a/halo2_frontend/dev/enum.VerifyFailure.html b/halo2_frontend/dev/enum.VerifyFailure.html
index 94f0ac4bf9..a429087d67 100644
--- a/halo2_frontend/dev/enum.VerifyFailure.html
+++ b/halo2_frontend/dev/enum.VerifyFailure.html
@@ -19,7 +19,7 @@
gate: <a class="struct" href="metadata/struct.Gate.html" title="struct halo2_frontend::dev::metadata::Gate">Gate</a>,
region: <a class="struct" href="metadata/struct.Region.html" title="struct halo2_frontend::dev::metadata::Region">Region</a>,
gate_offset: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>,
- column: <a class="struct" href="../plonk/circuit/expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="enum" href="../../halo2_middleware/circuit/enum.Any.html" title="enum halo2_middleware::circuit::Any">Any</a>>,
+ column: <a class="struct" href="../plonk/circuit/expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><Any>,
offset: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.isize.html">isize</a>,
},
InstanceCellNotAssigned {
@@ -57,7 +57,7 @@
</div></div><div class="sub-variant-field"><span id="variant.CellNotAssigned.field.region" class="section-header"><a href="#variant.CellNotAssigned.field.region" class="anchor field">§</a><code>region: <a class="struct" href="metadata/struct.Region.html" title="struct halo2_frontend::dev::metadata::Region">Region</a></code></span><div class="docblock"><p>The region in which this cell should be assigned.</p>
</div></div><div class="sub-variant-field"><span id="variant.CellNotAssigned.field.gate_offset" class="section-header"><a href="#variant.CellNotAssigned.field.gate_offset" class="anchor field">§</a><code>gate_offset: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a></code></span><div class="docblock"><p>The offset (relative to the start of the region) at which the active gate
queries this cell.</p>
-</div></div><div class="sub-variant-field"><span id="variant.CellNotAssigned.field.column" class="section-header"><a href="#variant.CellNotAssigned.field.column" class="anchor field">§</a><code>column: <a class="struct" href="../plonk/circuit/expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="enum" href="../../halo2_middleware/circuit/enum.Any.html" title="enum halo2_middleware::circuit::Any">Any</a>></code></span><div class="docblock"><p>The column in which this cell should be assigned.</p>
+</div></div><div class="sub-variant-field"><span id="variant.CellNotAssigned.field.column" class="section-header"><a href="#variant.CellNotAssigned.field.column" class="anchor field">§</a><code>column: <a class="struct" href="../plonk/circuit/expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><Any></code></span><div class="docblock"><p>The column in which this cell should be assigned.</p>
</div></div><div class="sub-variant-field"><span id="variant.CellNotAssigned.field.offset" class="section-header"><a href="#variant.CellNotAssigned.field.offset" class="anchor field">§</a><code>offset: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.isize.html">isize</a></code></span><div class="docblock"><p>The offset (relative to the start of the region) at which this cell should be
assigned. This may be negative (for example, if a selector enables a gate at
offset 0, but the gate uses <code>Rotation::prev()</code>).</p>
diff --git a/halo2_frontend/dev/metadata/struct.Column.html b/halo2_frontend/dev/metadata/struct.Column.html
index 06c46b1221..734db1d6aa 100644
--- a/halo2_frontend/dev/metadata/struct.Column.html
+++ b/halo2_frontend/dev/metadata/struct.Column.html
@@ -14,23 +14,23 @@
});
</script>
-</head><body class="rustdoc struct"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle" title="show sidebar"></button></nav><nav class="sidebar"><div class="sidebar-crate"><h2><a href="../../../halo2_frontend/index.html">halo2_frontend</a><span class="version">0.3.0</span></h2></div><h2 class="location"><a href="#">Column</a></h2><div class="sidebar-elems"><section><h3><a href="#fields">Fields</a></h3><ul class="block structfield"><li><a href="#structfield.column_type">column_type</a></li><li><a href="#structfield.index">index</a></li></ul><h3><a href="#implementations">Methods</a></h3><ul class="block method"><li><a href="#method.new">new</a></li></ul><h3><a href="#trait-implementations">Trait Implementations</a></h3><ul class="block trait-implementation"><li><a href="#impl-Clone-for-ColumnMid">Clone</a></li><li><a href="#impl-Copy-for-ColumnMid">Copy</a></li><li><a href="#impl-Debug-for-ColumnMid">Debug</a></li><li><a href="#impl-Display-for-ColumnMid">Display</a></li><li><a href="#impl-Eq-for-ColumnMid">Eq</a></li><li><a href="#impl-From%3CColumn%3CAny%3E%3E-for-ColumnMid">From<Column<Any>></a></li><li><a href="#impl-From%3CColumnMid%3E-for-Column%3CAny%3E">From<ColumnMid></a></li><li><a href="#impl-Hash-for-ColumnMid">Hash</a></li><li><a href="#impl-Ord-for-ColumnMid">Ord</a></li><li><a href="#impl-PartialEq-for-ColumnMid">PartialEq</a></li><li><a href="#impl-PartialOrd-for-ColumnMid">PartialOrd</a></li><li><a href="#impl-StructuralPartialEq-for-ColumnMid">StructuralPartialEq</a></li></ul><h3><a href="#synthetic-implementations">Auto Trait Implementations</a></h3><ul class="block synthetic-implementation"><li><a href="#impl-Freeze-for-ColumnMid">Freeze</a></li><li><a href="#impl-RefUnwindSafe-for-ColumnMid">RefUnwindSafe</a></li><li><a href="#impl-Send-for-ColumnMid">Send</a></li><li><a href="#impl-Sync-for-ColumnMid">Sync</a></li><li><a href="#impl-Unpin-for-ColumnMid">Unpin</a></li><li><a href="#impl-UnwindSafe-for-ColumnMid">UnwindSafe</a></li></ul><h3><a href="#blanket-implementations">Blanket Implementations</a></h3><ul class="block blanket-implementation"><li><a href="#impl-Any-for-T">Any</a></li><li><a href="#impl-Borrow%3CT%3E-for-T">Borrow<T></a></li><li><a href="#impl-BorrowMut%3CT%3E-for-T">BorrowMut<T></a></li><li><a href="#impl-Conv-for-T">Conv</a></li><li><a href="#impl-FmtForward-for-T">FmtForward</a></li><li><a href="#impl-From%3CT%3E-for-T">From<T></a></li><li><a href="#impl-Instrument-for-T">Instrument</a></li><li><a href="#impl-Into%3CU%3E-for-T">Into<U></a></li><li><a href="#impl-IntoEither-for-T">IntoEither</a></li><li><a href="#impl-Pipe-for-T">Pipe</a></li><li><a href="#impl-Pointable-for-T">Pointable</a></li><li><a href="#impl-SyncDeps-for-T">SyncDeps</a></li><li><a href="#impl-Tap-for-T">Tap</a></li><li><a href="#impl-ToOwned-for-T">ToOwned</a></li><li><a href="#impl-ToString-for-T">ToString</a></li><li><a href="#impl-TryConv-for-T">TryConv</a></li><li><a href="#impl-TryFrom%3CU%3E-for-T">TryFrom<U></a></li><li><a href="#impl-TryInto%3CU%3E-for-T">TryInto<U></a></li><li><a href="#impl-VZip%3CV%3E-for-T">VZip<V></a></li><li><a href="#impl-WithSubscriber-for-T">WithSubscriber</a></li></ul></section><h2><a href="index.html">In halo2_frontend::dev::metadata</a></h2></div></nav><div class="sidebar-resizer"></div><main><div class="width-limiter"><rustdoc-search></rustdoc-search><section id="main-content" class="content"><div class="main-heading"><h1>Struct <a href="../../index.html">halo2_frontend</a>::<wbr><a href="../index.html">dev</a>::<wbr><a href="index.html">metadata</a>::<wbr><a class="struct" href="#">Column</a><button id="copy-path" title="Copy item path to clipboard">Copy item path</button></h1><span class="out-of-band"><a class="src" href="../../../src/halo2_middleware/circuit.rs.html#235">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>−</span>]</button></span></div><pre class="rust item-decl"><code>pub struct Column {
- pub column_type: <a class="enum" href="../../../halo2_middleware/circuit/enum.Any.html" title="enum halo2_middleware::circuit::Any">Any</a>,
+</head><body class="rustdoc struct"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle" title="show sidebar"></button></nav><nav class="sidebar"><div class="sidebar-crate"><h2><a href="../../../halo2_frontend/index.html">halo2_frontend</a><span class="version">0.3.0</span></h2></div><h2 class="location"><a href="#">Column</a></h2><div class="sidebar-elems"><section><h3><a href="#fields">Fields</a></h3><ul class="block structfield"><li><a href="#structfield.column_type">column_type</a></li><li><a href="#structfield.index">index</a></li></ul><h3><a href="#implementations">Methods</a></h3><ul class="block method"><li><a href="#method.new">new</a></li></ul><h3><a href="#trait-implementations">Trait Implementations</a></h3><ul class="block trait-implementation"><li><a href="#impl-Clone-for-ColumnMid">Clone</a></li><li><a href="#impl-Copy-for-ColumnMid">Copy</a></li><li><a href="#impl-Debug-for-ColumnMid">Debug</a></li><li><a href="#impl-Display-for-ColumnMid">Display</a></li><li><a href="#impl-Eq-for-ColumnMid">Eq</a></li><li><a href="#impl-From%3CColumn%3CAny%3E%3E-for-ColumnMid">From<Column<Any>></a></li><li><a href="#impl-From%3CColumnMid%3E-for-Column%3CAny%3E">From<ColumnMid></a></li><li><a href="#impl-Hash-for-ColumnMid">Hash</a></li><li><a href="#impl-Ord-for-ColumnMid">Ord</a></li><li><a href="#impl-PartialEq-for-ColumnMid">PartialEq</a></li><li><a href="#impl-PartialOrd-for-ColumnMid">PartialOrd</a></li><li><a href="#impl-StructuralPartialEq-for-ColumnMid">StructuralPartialEq</a></li></ul><h3><a href="#synthetic-implementations">Auto Trait Implementations</a></h3><ul class="block synthetic-implementation"><li><a href="#impl-Freeze-for-ColumnMid">Freeze</a></li><li><a href="#impl-RefUnwindSafe-for-ColumnMid">RefUnwindSafe</a></li><li><a href="#impl-Send-for-ColumnMid">Send</a></li><li><a href="#impl-Sync-for-ColumnMid">Sync</a></li><li><a href="#impl-Unpin-for-ColumnMid">Unpin</a></li><li><a href="#impl-UnwindSafe-for-ColumnMid">UnwindSafe</a></li></ul><h3><a href="#blanket-implementations">Blanket Implementations</a></h3><ul class="block blanket-implementation"><li><a href="#impl-Any-for-T">Any</a></li><li><a href="#impl-Borrow%3CT%3E-for-T">Borrow<T></a></li><li><a href="#impl-BorrowMut%3CT%3E-for-T">BorrowMut<T></a></li><li><a href="#impl-Conv-for-T">Conv</a></li><li><a href="#impl-FmtForward-for-T">FmtForward</a></li><li><a href="#impl-From%3CT%3E-for-T">From<T></a></li><li><a href="#impl-Instrument-for-T">Instrument</a></li><li><a href="#impl-Into%3CU%3E-for-T">Into<U></a></li><li><a href="#impl-IntoEither-for-T">IntoEither</a></li><li><a href="#impl-Pipe-for-T">Pipe</a></li><li><a href="#impl-Pointable-for-T">Pointable</a></li><li><a href="#impl-SyncDeps-for-T">SyncDeps</a></li><li><a href="#impl-Tap-for-T">Tap</a></li><li><a href="#impl-ToOwned-for-T">ToOwned</a></li><li><a href="#impl-ToString-for-T">ToString</a></li><li><a href="#impl-TryConv-for-T">TryConv</a></li><li><a href="#impl-TryFrom%3CU%3E-for-T">TryFrom<U></a></li><li><a href="#impl-TryInto%3CU%3E-for-T">TryInto<U></a></li><li><a href="#impl-VZip%3CV%3E-for-T">VZip<V></a></li><li><a href="#impl-WithSubscriber-for-T">WithSubscriber</a></li></ul></section><h2><a href="index.html">In halo2_frontend::dev::metadata</a></h2></div></nav><div class="sidebar-resizer"></div><main><div class="width-limiter"><rustdoc-search></rustdoc-search><section id="main-content" class="content"><div class="main-heading"><h1>Struct <a href="../../index.html">halo2_frontend</a>::<wbr><a href="../index.html">dev</a>::<wbr><a href="index.html">metadata</a>::<wbr><a class="struct" href="#">Column</a><button id="copy-path" title="Copy item path to clipboard">Copy item path</button></h1><span class="out-of-band"><button id="toggle-all-docs" title="collapse all docs">[<span>−</span>]</button></span></div><pre class="rust item-decl"><code>pub struct Column {
+ pub column_type: Any,
pub index: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>,
}</code></pre><details class="toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>A column with an index and type</p>
-</div></details><h2 id="fields" class="fields section-header">Fields<a href="#fields" class="anchor">§</a></h2><span id="structfield.column_type" class="structfield section-header"><a href="#structfield.column_type" class="anchor field">§</a><code>column_type: <a class="enum" href="../../../halo2_middleware/circuit/enum.Any.html" title="enum halo2_middleware::circuit::Any">Any</a></code></span><div class="docblock"><p>The type of the column.</p>
+</div></details><h2 id="fields" class="fields section-header">Fields<a href="#fields" class="anchor">§</a></h2><span id="structfield.column_type" class="structfield section-header"><a href="#structfield.column_type" class="anchor field">§</a><code>column_type: Any</code></span><div class="docblock"><p>The type of the column.</p>
</div><span id="structfield.index" class="structfield section-header"><a href="#structfield.index" class="anchor field">§</a><code>index: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a></code></span><div class="docblock"><p>The index of the column.</p>
-</div><h2 id="implementations" class="section-header">Implementations<a href="#implementations" class="anchor">§</a></h2><div id="implementations-list"><details class="toggle implementors-toggle" open><summary><section id="impl-ColumnMid" class="impl"><a class="src rightside" href="../../../src/halo2_middleware/circuit.rs.html#242">source</a><a href="#impl-ColumnMid" class="anchor">§</a><h3 class="code-header">impl <a class="struct" href="struct.Column.html" title="struct halo2_frontend::dev::metadata::Column">ColumnMid</a></h3></section></summary><div class="impl-items"><section id="method.new" class="method"><a class="src rightside" href="../../../src/halo2_middleware/circuit.rs.html#243">source</a><h4 class="code-header">pub fn <a href="#method.new" class="fn">new</a>(column_type: <a class="enum" href="../../../halo2_middleware/circuit/enum.Any.html" title="enum halo2_middleware::circuit::Any">Any</a>, index: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>) -> <a class="struct" href="struct.Column.html" title="struct halo2_frontend::dev::metadata::Column">ColumnMid</a></h4></section></div></details></div><h2 id="trait-implementations" class="section-header">Trait Implementations<a href="#trait-implementations" class="anchor">§</a></h2><div id="trait-implementations-list"><details class="toggle implementors-toggle" open><summary><section id="impl-Clone-for-ColumnMid" class="impl"><a class="src rightside" href="../../../src/halo2_middleware/circuit.rs.html#234">source</a><a href="#impl-Clone-for-ColumnMid" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a> for <a class="struct" href="struct.Column.html" title="struct halo2_frontend::dev::metadata::Column">ColumnMid</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.clone" class="method trait-impl"><a class="src rightside" href="../../../src/halo2_middleware/circuit.rs.html#234">source</a><a href="#method.clone" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#tymethod.clone" class="fn">clone</a>(&self) -> <a class="struct" href="struct.Column.html" title="struct halo2_frontend::dev::metadata::Column">ColumnMid</a></h4></section></summary><div class='docblock'>Returns a copy of the value. <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#tymethod.clone">Read more</a></div></details><details class="toggle method-toggle" open><summary><section id="method.clone_from" class="method trait-impl"><span class="rightside"><span class="since" title="Stable since Rust version 1.0.0">1.0.0</span> · <a class="src" href="https://doc.rust-lang.org/nightly/src/core/clone.rs.html#169">source</a></span><a href="#method.clone_from" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#method.clone_from" class="fn">clone_from</a>(&mut self, source: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&Self</a>)</h4></section></summary><div class='docblock'>Performs copy-assignment from <code>source</code>. <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#method.clone_from">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-Debug-for-ColumnMid" class="impl"><a class="src rightside" href="../../../src/halo2_middleware/circuit.rs.html#234">source</a><a href="#impl-Debug-for-ColumnMid" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a> for <a class="struct" href="struct.Column.html" title="struct halo2_frontend::dev::metadata::Column">ColumnMid</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.fmt" class="method trait-impl"><a class="src rightside" href="../../../src/halo2_middleware/circuit.rs.html#234">source</a><a href="#method.fmt" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt" class="fn">fmt</a>(&self, f: &mut <a class="struct" href="https://doc.rust-lang.org/nightly/core/fmt/struct.Formatter.html" title="struct core::fmt::Formatter">Formatter</a><'_>) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a><<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.unit.html">()</a>, <a class="struct" href="https://doc.rust-lang.org/nightly/core/fmt/struct.Error.html" title="struct core::fmt::Error">Error</a>></h4></section></summary><div class='docblock'>Formats the value using the given formatter. <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-Display-for-ColumnMid" class="impl"><a class="src rightside" href="../../../src/halo2_middleware/circuit.rs.html#248">source</a><a href="#impl-Display-for-ColumnMid" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Display.html" title="trait core::fmt::Display">Display</a> for <a class="struct" href="struct.Column.html" title="struct halo2_frontend::dev::metadata::Column">ColumnMid</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.fmt-1" class="method trait-impl"><a class="src rightside" href="../../../src/halo2_middleware/circuit.rs.html#249">source</a><a href="#method.fmt-1" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Display.html#tymethod.fmt" class="fn">fmt</a>(&self, f: &mut <a class="struct" href="https://doc.rust-lang.org/nightly/core/fmt/struct.Formatter.html" title="struct core::fmt::Formatter">Formatter</a><'_>) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a><<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.unit.html">()</a>, <a class="struct" href="https://doc.rust-lang.org/nightly/core/fmt/struct.Error.html" title="struct core::fmt::Error">Error</a>></h4></section></summary><div class='docblock'>Formats the value using the given formatter. <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Display.html#tymethod.fmt">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-From%3CColumn%3CAny%3E%3E-for-ColumnMid" class="impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit/expression.rs.html#24-31">source</a><a href="#impl-From%3CColumn%3CAny%3E%3E-for-ColumnMid" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html" title="trait core::convert::From">From</a><<a class="struct" href="../../plonk/circuit/expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="enum" href="../../../halo2_middleware/circuit/enum.Any.html" title="enum halo2_middleware::circuit::Any">Any</a>>> for <a class="struct" href="struct.Column.html" title="struct halo2_frontend::dev::metadata::Column">ColumnMid</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.from-1" class="method trait-impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit/expression.rs.html#25-30">source</a><a href="#method.from-1" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html#tymethod.from" class="fn">from</a>(val: <a class="struct" href="../../plonk/circuit/expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="enum" href="../../../halo2_middleware/circuit/enum.Any.html" title="enum halo2_middleware::circuit::Any">Any</a>>) -> Self</h4></section></summary><div class='docblock'>Converts to this type from the input type.</div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-From%3CColumnMid%3E-for-Column%3CAny%3E" class="impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit/expression.rs.html#92-99">source</a><a href="#impl-From%3CColumnMid%3E-for-Column%3CAny%3E" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html" title="trait core::convert::From">From</a><<a class="struct" href="struct.Column.html" title="struct halo2_frontend::dev::metadata::Column">ColumnMid</a>> for <a class="struct" href="../../plonk/circuit/expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="enum" href="../../../halo2_middleware/circuit/enum.Any.html" title="enum halo2_middleware::circuit::Any">Any</a>></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.from" class="method trait-impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit/expression.rs.html#93-98">source</a><a href="#method.from" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html#tymethod.from" class="fn">from</a>(column: <a class="struct" href="struct.Column.html" title="struct halo2_frontend::dev::metadata::Column">ColumnMid</a>) -> <a class="struct" href="../../plonk/circuit/expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="enum" href="../../../halo2_middleware/circuit/enum.Any.html" title="enum halo2_middleware::circuit::Any">Any</a>></h4></section></summary><div class='docblock'>Converts to this type from the input type.</div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-Hash-for-ColumnMid" class="impl"><a class="src rightside" href="../../../src/halo2_middleware/circuit.rs.html#234">source</a><a href="#impl-Hash-for-ColumnMid" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html" title="trait core::hash::Hash">Hash</a> for <a class="struct" href="struct.Column.html" title="struct halo2_frontend::dev::metadata::Column">ColumnMid</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.hash" class="method trait-impl"><a class="src rightside" href="../../../src/halo2_middleware/circuit.rs.html#234">source</a><a href="#method.hash" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html#tymethod.hash" class="fn">hash</a><__H>(&self, state: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&mut __H</a>)<div class="where">where
+</div><h2 id="implementations" class="section-header">Implementations<a href="#implementations" class="anchor">§</a></h2><div id="implementations-list"><details class="toggle implementors-toggle" open><summary><section id="impl-ColumnMid" class="impl"><a href="#impl-ColumnMid" class="anchor">§</a><h3 class="code-header">impl <a class="struct" href="struct.Column.html" title="struct halo2_frontend::dev::metadata::Column">ColumnMid</a></h3></section></summary><div class="impl-items"><section id="method.new" class="method"><h4 class="code-header">pub fn <a href="#method.new" class="fn">new</a>(column_type: Any, index: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>) -> <a class="struct" href="struct.Column.html" title="struct halo2_frontend::dev::metadata::Column">ColumnMid</a></h4></section></div></details></div><h2 id="trait-implementations" class="section-header">Trait Implementations<a href="#trait-implementations" class="anchor">§</a></h2><div id="trait-implementations-list"><details class="toggle implementors-toggle" open><summary><section id="impl-Clone-for-ColumnMid" class="impl"><a href="#impl-Clone-for-ColumnMid" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a> for <a class="struct" href="struct.Column.html" title="struct halo2_frontend::dev::metadata::Column">ColumnMid</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.clone" class="method trait-impl"><a href="#method.clone" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#tymethod.clone" class="fn">clone</a>(&self) -> <a class="struct" href="struct.Column.html" title="struct halo2_frontend::dev::metadata::Column">ColumnMid</a></h4></section></summary><div class='docblock'>Returns a copy of the value. <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#tymethod.clone">Read more</a></div></details><details class="toggle method-toggle" open><summary><section id="method.clone_from" class="method trait-impl"><span class="rightside"><span class="since" title="Stable since Rust version 1.0.0">1.0.0</span> · <a class="src" href="https://doc.rust-lang.org/nightly/src/core/clone.rs.html#169">source</a></span><a href="#method.clone_from" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#method.clone_from" class="fn">clone_from</a>(&mut self, source: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&Self</a>)</h4></section></summary><div class='docblock'>Performs copy-assignment from <code>source</code>. <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#method.clone_from">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-Debug-for-ColumnMid" class="impl"><a href="#impl-Debug-for-ColumnMid" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a> for <a class="struct" href="struct.Column.html" title="struct halo2_frontend::dev::metadata::Column">ColumnMid</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.fmt" class="method trait-impl"><a href="#method.fmt" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt" class="fn">fmt</a>(&self, f: &mut <a class="struct" href="https://doc.rust-lang.org/nightly/core/fmt/struct.Formatter.html" title="struct core::fmt::Formatter">Formatter</a><'_>) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a><<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.unit.html">()</a>, <a class="struct" href="https://doc.rust-lang.org/nightly/core/fmt/struct.Error.html" title="struct core::fmt::Error">Error</a>></h4></section></summary><div class='docblock'>Formats the value using the given formatter. <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-Display-for-ColumnMid" class="impl"><a href="#impl-Display-for-ColumnMid" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Display.html" title="trait core::fmt::Display">Display</a> for <a class="struct" href="struct.Column.html" title="struct halo2_frontend::dev::metadata::Column">ColumnMid</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.fmt-1" class="method trait-impl"><a href="#method.fmt-1" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Display.html#tymethod.fmt" class="fn">fmt</a>(&self, f: &mut <a class="struct" href="https://doc.rust-lang.org/nightly/core/fmt/struct.Formatter.html" title="struct core::fmt::Formatter">Formatter</a><'_>) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a><<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.unit.html">()</a>, <a class="struct" href="https://doc.rust-lang.org/nightly/core/fmt/struct.Error.html" title="struct core::fmt::Error">Error</a>></h4></section></summary><div class='docblock'>Formats the value using the given formatter. <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Display.html#tymethod.fmt">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-From%3CColumn%3CAny%3E%3E-for-ColumnMid" class="impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit/expression.rs.html#24-31">source</a><a href="#impl-From%3CColumn%3CAny%3E%3E-for-ColumnMid" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html" title="trait core::convert::From">From</a><<a class="struct" href="../../plonk/circuit/expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><Any>> for <a class="struct" href="struct.Column.html" title="struct halo2_frontend::dev::metadata::Column">ColumnMid</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.from-1" class="method trait-impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit/expression.rs.html#25-30">source</a><a href="#method.from-1" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html#tymethod.from" class="fn">from</a>(val: <a class="struct" href="../../plonk/circuit/expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><Any>) -> Self</h4></section></summary><div class='docblock'>Converts to this type from the input type.</div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-From%3CColumnMid%3E-for-Column%3CAny%3E" class="impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit/expression.rs.html#92-99">source</a><a href="#impl-From%3CColumnMid%3E-for-Column%3CAny%3E" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html" title="trait core::convert::From">From</a><<a class="struct" href="struct.Column.html" title="struct halo2_frontend::dev::metadata::Column">ColumnMid</a>> for <a class="struct" href="../../plonk/circuit/expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><Any></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.from" class="method trait-impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit/expression.rs.html#93-98">source</a><a href="#method.from" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html#tymethod.from" class="fn">from</a>(column: <a class="struct" href="struct.Column.html" title="struct halo2_frontend::dev::metadata::Column">ColumnMid</a>) -> <a class="struct" href="../../plonk/circuit/expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><Any></h4></section></summary><div class='docblock'>Converts to this type from the input type.</div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-Hash-for-ColumnMid" class="impl"><a href="#impl-Hash-for-ColumnMid" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html" title="trait core::hash::Hash">Hash</a> for <a class="struct" href="struct.Column.html" title="struct halo2_frontend::dev::metadata::Column">ColumnMid</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.hash" class="method trait-impl"><a href="#method.hash" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html#tymethod.hash" class="fn">hash</a><__H>(&self, state: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&mut __H</a>)<div class="where">where
__H: <a class="trait" href="https://doc.rust-lang.org/nightly/core/hash/trait.Hasher.html" title="trait core::hash::Hasher">Hasher</a>,</div></h4></section></summary><div class='docblock'>Feeds this value into the given <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hasher.html" title="trait core::hash::Hasher"><code>Hasher</code></a>. <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html#tymethod.hash">Read more</a></div></details><details class="toggle method-toggle" open><summary><section id="method.hash_slice" class="method trait-impl"><span class="rightside"><span class="since" title="Stable since Rust version 1.3.0">1.3.0</span> · <a class="src" href="https://doc.rust-lang.org/nightly/src/core/hash/mod.rs.html#238-240">source</a></span><a href="#method.hash_slice" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html#method.hash_slice" class="fn">hash_slice</a><H>(data: &<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.slice.html">[Self]</a>, state: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&mut H</a>)<div class="where">where
H: <a class="trait" href="https://doc.rust-lang.org/nightly/core/hash/trait.Hasher.html" title="trait core::hash::Hasher">Hasher</a>,
- Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,</div></h4></section></summary><div class='docblock'>Feeds a slice of this type into the given <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hasher.html" title="trait core::hash::Hasher"><code>Hasher</code></a>. <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html#method.hash_slice">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-Ord-for-ColumnMid" class="impl"><a class="src rightside" href="../../../src/halo2_middleware/circuit.rs.html#234">source</a><a href="#impl-Ord-for-ColumnMid" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/cmp/trait.Ord.html" title="trait core::cmp::Ord">Ord</a> for <a class="struct" href="struct.Column.html" title="struct halo2_frontend::dev::metadata::Column">ColumnMid</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.cmp" class="method trait-impl"><a class="src rightside" href="../../../src/halo2_middleware/circuit.rs.html#234">source</a><a href="#method.cmp" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.Ord.html#tymethod.cmp" class="fn">cmp</a>(&self, other: &<a class="struct" href="struct.Column.html" title="struct halo2_frontend::dev::metadata::Column">ColumnMid</a>) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/cmp/enum.Ordering.html" title="enum core::cmp::Ordering">Ordering</a></h4></section></summary><div class='docblock'>This method returns an <a href="https://doc.rust-lang.org/nightly/core/cmp/enum.Ordering.html" title="enum core::cmp::Ordering"><code>Ordering</code></a> between <code>self</code> and <code>other</code>. <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.Ord.html#tymethod.cmp">Read more</a></div></details><details class="toggle method-toggle" open><summary><section id="method.max" class="method trait-impl"><span class="rightside"><span class="since" title="Stable since Rust version 1.21.0">1.21.0</span> · <a class="src" href="https://doc.rust-lang.org/nightly/src/core/cmp.rs.html#856-858">source</a></span><a href="#method.max" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.Ord.html#method.max" class="fn">max</a>(self, other: Self) -> Self<div class="where">where
+ Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,</div></h4></section></summary><div class='docblock'>Feeds a slice of this type into the given <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hasher.html" title="trait core::hash::Hasher"><code>Hasher</code></a>. <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html#method.hash_slice">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-Ord-for-ColumnMid" class="impl"><a href="#impl-Ord-for-ColumnMid" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/cmp/trait.Ord.html" title="trait core::cmp::Ord">Ord</a> for <a class="struct" href="struct.Column.html" title="struct halo2_frontend::dev::metadata::Column">ColumnMid</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.cmp" class="method trait-impl"><a href="#method.cmp" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.Ord.html#tymethod.cmp" class="fn">cmp</a>(&self, other: &<a class="struct" href="struct.Column.html" title="struct halo2_frontend::dev::metadata::Column">ColumnMid</a>) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/cmp/enum.Ordering.html" title="enum core::cmp::Ordering">Ordering</a></h4></section></summary><div class='docblock'>This method returns an <a href="https://doc.rust-lang.org/nightly/core/cmp/enum.Ordering.html" title="enum core::cmp::Ordering"><code>Ordering</code></a> between <code>self</code> and <code>other</code>. <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.Ord.html#tymethod.cmp">Read more</a></div></details><details class="toggle method-toggle" open><summary><section id="method.max" class="method trait-impl"><span class="rightside"><span class="since" title="Stable since Rust version 1.21.0">1.21.0</span> · <a class="src" href="https://doc.rust-lang.org/nightly/src/core/cmp.rs.html#856-858">source</a></span><a href="#method.max" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.Ord.html#method.max" class="fn">max</a>(self, other: Self) -> Self<div class="where">where
Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,</div></h4></section></summary><div class='docblock'>Compares and returns the maximum of two values. <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.Ord.html#method.max">Read more</a></div></details><details class="toggle method-toggle" open><summary><section id="method.min" class="method trait-impl"><span class="rightside"><span class="since" title="Stable since Rust version 1.21.0">1.21.0</span> · <a class="src" href="https://doc.rust-lang.org/nightly/src/core/cmp.rs.html#877-879">source</a></span><a href="#method.min" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.Ord.html#method.min" class="fn">min</a>(self, other: Self) -> Self<div class="where">where
Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,</div></h4></section></summary><div class='docblock'>Compares and returns the minimum of two values. <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.Ord.html#method.min">Read more</a></div></details><details class="toggle method-toggle" open><summary><section id="method.clamp" class="method trait-impl"><span class="rightside"><span class="since" title="Stable since Rust version 1.50.0">1.50.0</span> · <a class="src" href="https://doc.rust-lang.org/nightly/src/core/cmp.rs.html#902-905">source</a></span><a href="#method.clamp" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.Ord.html#method.clamp" class="fn">clamp</a>(self, min: Self, max: Self) -> Self<div class="where">where
- Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a> + <a class="trait" href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialOrd.html" title="trait core::cmp::PartialOrd">PartialOrd</a>,</div></h4></section></summary><div class='docblock'>Restrict a value to a certain interval. <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.Ord.html#method.clamp">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-PartialEq-for-ColumnMid" class="impl"><a class="src rightside" href="../../../src/halo2_middleware/circuit.rs.html#234">source</a><a href="#impl-PartialEq-for-ColumnMid" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialEq.html" title="trait core::cmp::PartialEq">PartialEq</a> for <a class="struct" href="struct.Column.html" title="struct halo2_frontend::dev::metadata::Column">ColumnMid</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.eq" class="method trait-impl"><a class="src rightside" href="../../../src/halo2_middleware/circuit.rs.html#234">source</a><a href="#method.eq" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialEq.html#tymethod.eq" class="fn">eq</a>(&self, other: &<a class="struct" href="struct.Column.html" title="struct halo2_frontend::dev::metadata::Column">ColumnMid</a>) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></h4></section></summary><div class='docblock'>This method tests for <code>self</code> and <code>other</code> values to be equal, and is used
+ Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a> + <a class="trait" href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialOrd.html" title="trait core::cmp::PartialOrd">PartialOrd</a>,</div></h4></section></summary><div class='docblock'>Restrict a value to a certain interval. <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.Ord.html#method.clamp">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-PartialEq-for-ColumnMid" class="impl"><a href="#impl-PartialEq-for-ColumnMid" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialEq.html" title="trait core::cmp::PartialEq">PartialEq</a> for <a class="struct" href="struct.Column.html" title="struct halo2_frontend::dev::metadata::Column">ColumnMid</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.eq" class="method trait-impl"><a href="#method.eq" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialEq.html#tymethod.eq" class="fn">eq</a>(&self, other: &<a class="struct" href="struct.Column.html" title="struct halo2_frontend::dev::metadata::Column">ColumnMid</a>) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></h4></section></summary><div class='docblock'>This method tests for <code>self</code> and <code>other</code> values to be equal, and is used
by <code>==</code>.</div></details><details class="toggle method-toggle" open><summary><section id="method.ne" class="method trait-impl"><span class="rightside"><span class="since" title="Stable since Rust version 1.0.0">1.0.0</span> · <a class="src" href="https://doc.rust-lang.org/nightly/src/core/cmp.rs.html#263">source</a></span><a href="#method.ne" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialEq.html#method.ne" class="fn">ne</a>(&self, other: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&Rhs</a>) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></h4></section></summary><div class='docblock'>This method tests for <code>!=</code>. The default implementation is almost always
-sufficient, and should not be overridden without very good reason.</div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-PartialOrd-for-ColumnMid" class="impl"><a class="src rightside" href="../../../src/halo2_middleware/circuit.rs.html#234">source</a><a href="#impl-PartialOrd-for-ColumnMid" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialOrd.html" title="trait core::cmp::PartialOrd">PartialOrd</a> for <a class="struct" href="struct.Column.html" title="struct halo2_frontend::dev::metadata::Column">ColumnMid</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.partial_cmp" class="method trait-impl"><a class="src rightside" href="../../../src/halo2_middleware/circuit.rs.html#234">source</a><a href="#method.partial_cmp" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialOrd.html#tymethod.partial_cmp" class="fn">partial_cmp</a>(&self, other: &<a class="struct" href="struct.Column.html" title="struct halo2_frontend::dev::metadata::Column">ColumnMid</a>) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/option/enum.Option.html" title="enum core::option::Option">Option</a><<a class="enum" href="https://doc.rust-lang.org/nightly/core/cmp/enum.Ordering.html" title="enum core::cmp::Ordering">Ordering</a>></h4></section></summary><div class='docblock'>This method returns an ordering between <code>self</code> and <code>other</code> values if one exists. <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialOrd.html#tymethod.partial_cmp">Read more</a></div></details><details class="toggle method-toggle" open><summary><section id="method.lt" class="method trait-impl"><span class="rightside"><span class="since" title="Stable since Rust version 1.0.0">1.0.0</span> · <a class="src" href="https://doc.rust-lang.org/nightly/src/core/cmp.rs.html#1179">source</a></span><a href="#method.lt" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialOrd.html#method.lt" class="fn">lt</a>(&self, other: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&Rhs</a>) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></h4></section></summary><div class='docblock'>This method tests less than (for <code>self</code> and <code>other</code>) and is used by the <code><</code> operator. <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialOrd.html#method.lt">Read more</a></div></details><details class="toggle method-toggle" open><summary><section id="method.le" class="method trait-impl"><span class="rightside"><span class="since" title="Stable since Rust version 1.0.0">1.0.0</span> · <a class="src" href="https://doc.rust-lang.org/nightly/src/core/cmp.rs.html#1197">source</a></span><a href="#method.le" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialOrd.html#method.le" class="fn">le</a>(&self, other: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&Rhs</a>) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></h4></section></summary><div class='docblock'>This method tests less than or equal to (for <code>self</code> and <code>other</code>) and is used by the <code><=</code>
+sufficient, and should not be overridden without very good reason.</div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-PartialOrd-for-ColumnMid" class="impl"><a href="#impl-PartialOrd-for-ColumnMid" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialOrd.html" title="trait core::cmp::PartialOrd">PartialOrd</a> for <a class="struct" href="struct.Column.html" title="struct halo2_frontend::dev::metadata::Column">ColumnMid</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.partial_cmp" class="method trait-impl"><a href="#method.partial_cmp" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialOrd.html#tymethod.partial_cmp" class="fn">partial_cmp</a>(&self, other: &<a class="struct" href="struct.Column.html" title="struct halo2_frontend::dev::metadata::Column">ColumnMid</a>) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/option/enum.Option.html" title="enum core::option::Option">Option</a><<a class="enum" href="https://doc.rust-lang.org/nightly/core/cmp/enum.Ordering.html" title="enum core::cmp::Ordering">Ordering</a>></h4></section></summary><div class='docblock'>This method returns an ordering between <code>self</code> and <code>other</code> values if one exists. <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialOrd.html#tymethod.partial_cmp">Read more</a></div></details><details class="toggle method-toggle" open><summary><section id="method.lt" class="method trait-impl"><span class="rightside"><span class="since" title="Stable since Rust version 1.0.0">1.0.0</span> · <a class="src" href="https://doc.rust-lang.org/nightly/src/core/cmp.rs.html#1179">source</a></span><a href="#method.lt" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialOrd.html#method.lt" class="fn">lt</a>(&self, other: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&Rhs</a>) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></h4></section></summary><div class='docblock'>This method tests less than (for <code>self</code> and <code>other</code>) and is used by the <code><</code> operator. <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialOrd.html#method.lt">Read more</a></div></details><details class="toggle method-toggle" open><summary><section id="method.le" class="method trait-impl"><span class="rightside"><span class="since" title="Stable since Rust version 1.0.0">1.0.0</span> · <a class="src" href="https://doc.rust-lang.org/nightly/src/core/cmp.rs.html#1197">source</a></span><a href="#method.le" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialOrd.html#method.le" class="fn">le</a>(&self, other: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&Rhs</a>) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></h4></section></summary><div class='docblock'>This method tests less than or equal to (for <code>self</code> and <code>other</code>) and is used by the <code><=</code>
operator. <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialOrd.html#method.le">Read more</a></div></details><details class="toggle method-toggle" open><summary><section id="method.gt" class="method trait-impl"><span class="rightside"><span class="since" title="Stable since Rust version 1.0.0">1.0.0</span> · <a class="src" href="https://doc.rust-lang.org/nightly/src/core/cmp.rs.html#1214">source</a></span><a href="#method.gt" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialOrd.html#method.gt" class="fn">gt</a>(&self, other: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&Rhs</a>) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></h4></section></summary><div class='docblock'>This method tests greater than (for <code>self</code> and <code>other</code>) and is used by the <code>></code> operator. <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialOrd.html#method.gt">Read more</a></div></details><details class="toggle method-toggle" open><summary><section id="method.ge" class="method trait-impl"><span class="rightside"><span class="since" title="Stable since Rust version 1.0.0">1.0.0</span> · <a class="src" href="https://doc.rust-lang.org/nightly/src/core/cmp.rs.html#1232">source</a></span><a href="#method.ge" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialOrd.html#method.ge" class="fn">ge</a>(&self, other: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&Rhs</a>) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></h4></section></summary><div class='docblock'>This method tests greater than or equal to (for <code>self</code> and <code>other</code>) and is used by the <code>>=</code>
-operator. <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialOrd.html#method.ge">Read more</a></div></details></div></details><section id="impl-Copy-for-ColumnMid" class="impl"><a class="src rightside" href="../../../src/halo2_middleware/circuit.rs.html#234">source</a><a href="#impl-Copy-for-ColumnMid" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Copy.html" title="trait core::marker::Copy">Copy</a> for <a class="struct" href="struct.Column.html" title="struct halo2_frontend::dev::metadata::Column">ColumnMid</a></h3></section><section id="impl-Eq-for-ColumnMid" class="impl"><a class="src rightside" href="../../../src/halo2_middleware/circuit.rs.html#234">source</a><a href="#impl-Eq-for-ColumnMid" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/cmp/trait.Eq.html" title="trait core::cmp::Eq">Eq</a> for <a class="struct" href="struct.Column.html" title="struct halo2_frontend::dev::metadata::Column">ColumnMid</a></h3></section><section id="impl-StructuralPartialEq-for-ColumnMid" class="impl"><a class="src rightside" href="../../../src/halo2_middleware/circuit.rs.html#234">source</a><a href="#impl-StructuralPartialEq-for-ColumnMid" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.StructuralPartialEq.html" title="trait core::marker::StructuralPartialEq">StructuralPartialEq</a> for <a class="struct" href="struct.Column.html" title="struct halo2_frontend::dev::metadata::Column">ColumnMid</a></h3></section></div><h2 id="synthetic-implementations" class="section-header">Auto Trait Implementations<a href="#synthetic-implementations" class="anchor">§</a></h2><div id="synthetic-implementations-list"><section id="impl-Freeze-for-ColumnMid" class="impl"><a href="#impl-Freeze-for-ColumnMid" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Freeze.html" title="trait core::marker::Freeze">Freeze</a> for <a class="struct" href="struct.Column.html" title="struct halo2_frontend::dev::metadata::Column">ColumnMid</a></h3></section><section id="impl-RefUnwindSafe-for-ColumnMid" class="impl"><a href="#impl-RefUnwindSafe-for-ColumnMid" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/panic/unwind_safe/trait.RefUnwindSafe.html" title="trait core::panic::unwind_safe::RefUnwindSafe">RefUnwindSafe</a> for <a class="struct" href="struct.Column.html" title="struct halo2_frontend::dev::metadata::Column">ColumnMid</a></h3></section><section id="impl-Send-for-ColumnMid" class="impl"><a href="#impl-Send-for-ColumnMid" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Send.html" title="trait core::marker::Send">Send</a> for <a class="struct" href="struct.Column.html" title="struct halo2_frontend::dev::metadata::Column">ColumnMid</a></h3></section><section id="impl-Sync-for-ColumnMid" class="impl"><a href="#impl-Sync-for-ColumnMid" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sync.html" title="trait core::marker::Sync">Sync</a> for <a class="struct" href="struct.Column.html" title="struct halo2_frontend::dev::metadata::Column">ColumnMid</a></h3></section><section id="impl-Unpin-for-ColumnMid" class="impl"><a href="#impl-Unpin-for-ColumnMid" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Unpin.html" title="trait core::marker::Unpin">Unpin</a> for <a class="struct" href="struct.Column.html" title="struct halo2_frontend::dev::metadata::Column">ColumnMid</a></h3></section><section id="impl-UnwindSafe-for-ColumnMid" class="impl"><a href="#impl-UnwindSafe-for-ColumnMid" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/panic/unwind_safe/trait.UnwindSafe.html" title="trait core::panic::unwind_safe::UnwindSafe">UnwindSafe</a> for <a class="struct" href="struct.Column.html" title="struct halo2_frontend::dev::metadata::Column">ColumnMid</a></h3></section></div><h2 id="blanket-implementations" class="section-header">Blanket Implementations<a href="#blanket-implementations" class="anchor">§</a></h2><div id="blanket-implementations-list"><details class="toggle implementors-toggle"><summary><section id="impl-Any-for-T" class="impl"><a class="src rightside" href="https://doc.rust-lang.org/nightly/src/core/any.rs.html#140">source</a><a href="#impl-Any-for-T" class="anchor">§</a><h3 class="code-header">impl<T> <a class="trait" href="https://doc.rust-lang.org/nightly/core/any/trait.Any.html" title="trait core::any::Any">Any</a> for T<div class="where">where
+operator. <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialOrd.html#method.ge">Read more</a></div></details></div></details><section id="impl-Copy-for-ColumnMid" class="impl"><a href="#impl-Copy-for-ColumnMid" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Copy.html" title="trait core::marker::Copy">Copy</a> for <a class="struct" href="struct.Column.html" title="struct halo2_frontend::dev::metadata::Column">ColumnMid</a></h3></section><section id="impl-Eq-for-ColumnMid" class="impl"><a href="#impl-Eq-for-ColumnMid" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/cmp/trait.Eq.html" title="trait core::cmp::Eq">Eq</a> for <a class="struct" href="struct.Column.html" title="struct halo2_frontend::dev::metadata::Column">ColumnMid</a></h3></section><section id="impl-StructuralPartialEq-for-ColumnMid" class="impl"><a href="#impl-StructuralPartialEq-for-ColumnMid" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.StructuralPartialEq.html" title="trait core::marker::StructuralPartialEq">StructuralPartialEq</a> for <a class="struct" href="struct.Column.html" title="struct halo2_frontend::dev::metadata::Column">ColumnMid</a></h3></section></div><h2 id="synthetic-implementations" class="section-header">Auto Trait Implementations<a href="#synthetic-implementations" class="anchor">§</a></h2><div id="synthetic-implementations-list"><section id="impl-Freeze-for-ColumnMid" class="impl"><a href="#impl-Freeze-for-ColumnMid" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Freeze.html" title="trait core::marker::Freeze">Freeze</a> for <a class="struct" href="struct.Column.html" title="struct halo2_frontend::dev::metadata::Column">ColumnMid</a></h3></section><section id="impl-RefUnwindSafe-for-ColumnMid" class="impl"><a href="#impl-RefUnwindSafe-for-ColumnMid" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/panic/unwind_safe/trait.RefUnwindSafe.html" title="trait core::panic::unwind_safe::RefUnwindSafe">RefUnwindSafe</a> for <a class="struct" href="struct.Column.html" title="struct halo2_frontend::dev::metadata::Column">ColumnMid</a></h3></section><section id="impl-Send-for-ColumnMid" class="impl"><a href="#impl-Send-for-ColumnMid" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Send.html" title="trait core::marker::Send">Send</a> for <a class="struct" href="struct.Column.html" title="struct halo2_frontend::dev::metadata::Column">ColumnMid</a></h3></section><section id="impl-Sync-for-ColumnMid" class="impl"><a href="#impl-Sync-for-ColumnMid" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sync.html" title="trait core::marker::Sync">Sync</a> for <a class="struct" href="struct.Column.html" title="struct halo2_frontend::dev::metadata::Column">ColumnMid</a></h3></section><section id="impl-Unpin-for-ColumnMid" class="impl"><a href="#impl-Unpin-for-ColumnMid" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Unpin.html" title="trait core::marker::Unpin">Unpin</a> for <a class="struct" href="struct.Column.html" title="struct halo2_frontend::dev::metadata::Column">ColumnMid</a></h3></section><section id="impl-UnwindSafe-for-ColumnMid" class="impl"><a href="#impl-UnwindSafe-for-ColumnMid" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/panic/unwind_safe/trait.UnwindSafe.html" title="trait core::panic::unwind_safe::UnwindSafe">UnwindSafe</a> for <a class="struct" href="struct.Column.html" title="struct halo2_frontend::dev::metadata::Column">ColumnMid</a></h3></section></div><h2 id="blanket-implementations" class="section-header">Blanket Implementations<a href="#blanket-implementations" class="anchor">§</a></h2><div id="blanket-implementations-list"><details class="toggle implementors-toggle"><summary><section id="impl-Any-for-T" class="impl"><a class="src rightside" href="https://doc.rust-lang.org/nightly/src/core/any.rs.html#140">source</a><a href="#impl-Any-for-T" class="anchor">§</a><h3 class="code-header">impl<T> <a class="trait" href="https://doc.rust-lang.org/nightly/core/any/trait.Any.html" title="trait core::any::Any">Any</a> for T<div class="where">where
T: 'static + ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,</div></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.type_id" class="method trait-impl"><a class="src rightside" href="https://doc.rust-lang.org/nightly/src/core/any.rs.html#141">source</a><a href="#method.type_id" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/any/trait.Any.html#tymethod.type_id" class="fn">type_id</a>(&self) -> <a class="struct" href="https://doc.rust-lang.org/nightly/core/any/struct.TypeId.html" title="struct core::any::TypeId">TypeId</a></h4></section></summary><div class='docblock'>Gets the <code>TypeId</code> of <code>self</code>. <a href="https://doc.rust-lang.org/nightly/core/any/trait.Any.html#tymethod.type_id">Read more</a></div></details></div></details><details class="toggle implementors-toggle"><summary><section id="impl-Borrow%3CT%3E-for-T" class="impl"><a class="src rightside" href="https://doc.rust-lang.org/nightly/src/core/borrow.rs.html#208">source</a><a href="#impl-Borrow%3CT%3E-for-T" class="anchor">§</a><h3 class="code-header">impl<T> <a class="trait" href="https://doc.rust-lang.org/nightly/core/borrow/trait.Borrow.html" title="trait core::borrow::Borrow">Borrow</a><T> for T<div class="where">where
T: ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,</div></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.borrow" class="method trait-impl"><a class="src rightside" href="https://doc.rust-lang.org/nightly/src/core/borrow.rs.html#210">source</a><a href="#method.borrow" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/borrow/trait.Borrow.html#tymethod.borrow" class="fn">borrow</a>(&self) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&T</a></h4></section></summary><div class='docblock'>Immutably borrows from an owned value. <a href="https://doc.rust-lang.org/nightly/core/borrow/trait.Borrow.html#tymethod.borrow">Read more</a></div></details></div></details><details class="toggle implementors-toggle"><summary><section id="impl-BorrowMut%3CT%3E-for-T" class="impl"><a class="src rightside" href="https://doc.rust-lang.org/nightly/src/core/borrow.rs.html#216">source</a><a href="#impl-BorrowMut%3CT%3E-for-T" class="anchor">§</a><h3 class="code-header">impl<T> <a class="trait" href="https://doc.rust-lang.org/nightly/core/borrow/trait.BorrowMut.html" title="trait core::borrow::BorrowMut">BorrowMut</a><T> for T<div class="where">where
T: ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,</div></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.borrow_mut" class="method trait-impl"><a class="src rightside" href="https://doc.rust-lang.org/nightly/src/core/borrow.rs.html#217">source</a><a href="#method.borrow_mut" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/borrow/trait.BorrowMut.html#tymethod.borrow_mut" class="fn">borrow_mut</a>(&mut self) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&mut T</a></h4></section></summary><div class='docblock'>Mutably borrows from an owned value. <a href="https://doc.rust-lang.org/nightly/core/borrow/trait.BorrowMut.html#tymethod.borrow_mut">Read more</a></div></details></div></details><details class="toggle implementors-toggle"><summary><section id="impl-Conv-for-T" class="impl"><a href="#impl-Conv-for-T" class="anchor">§</a><h3 class="code-header">impl<T> Conv for T</h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.conv" class="method trait-impl"><a href="#method.conv" class="anchor">§</a><h4 class="code-header">fn <a class="fn">conv</a><T>(self) -> T<div class="where">where
diff --git a/halo2_frontend/dev/struct.MockProver.html b/halo2_frontend/dev/struct.MockProver.html
index 11a8a463d4..08cd27bf10 100644
--- a/halo2_frontend/dev/struct.MockProver.html
+++ b/halo2_frontend/dev/struct.MockProver.html
@@ -170,7 +170,7 @@ <h2 id="examples"><a class="doc-anchor" href="#examples">§</a>Examples</h2>
</div></details><details class="toggle method-toggle" open><summary><section id="method.instance" class="method"><a class="src rightside" href="../../src/halo2_frontend/dev.rs.html#1238-1240">source</a><h4 class="code-header">pub fn <a href="#method.instance" class="fn">instance</a>(&self) -> &<a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a><<a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a><<a class="enum" href="enum.InstanceValue.html" title="enum halo2_frontend::dev::InstanceValue">InstanceValue</a><F>>></h4></section></summary><div class="docblock"><p>Returns the list of Instance Columns used within a MockProver instance and the associated values contained on each Cell.</p>
</div></details></div></details></div><h2 id="trait-implementations" class="section-header">Trait Implementations<a href="#trait-implementations" class="anchor">§</a></h2><div id="trait-implementations-list"><details class="toggle implementors-toggle" open><summary><section id="impl-Assignment%3CF%3E-for-MockProver%3CF%3E" class="impl"><a class="src rightside" href="../../src/halo2_frontend/dev.rs.html#345-607">source</a><a href="#impl-Assignment%3CF%3E-for-MockProver%3CF%3E" class="anchor">§</a><h3 class="code-header">impl<F: Field> <a class="trait" href="../plonk/circuit/trait.Assignment.html" title="trait halo2_frontend::plonk::circuit::Assignment">Assignment</a><F> for <a class="struct" href="struct.MockProver.html" title="struct halo2_frontend::dev::MockProver">MockProver</a><F></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.enter_region" class="method trait-impl"><a class="src rightside" href="../../src/halo2_frontend/dev.rs.html#346-364">source</a><a href="#method.enter_region" class="anchor">§</a><h4 class="code-header">fn <a href="../plonk/circuit/trait.Assignment.html#tymethod.enter_region" class="fn">enter_region</a><NR, N>(&mut self, name: N)<div class="where">where
NR: <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.Into.html" title="trait core::convert::Into">Into</a><<a class="struct" href="https://doc.rust-lang.org/nightly/alloc/string/struct.String.html" title="struct alloc::string::String">String</a>>,
- N: <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/function/trait.FnOnce.html" title="trait core::ops::function::FnOnce">FnOnce</a>() -> NR,</div></h4></section></summary><div class='docblock'>Creates a new region and enters into it. <a href="../plonk/circuit/trait.Assignment.html#tymethod.enter_region">Read more</a></div></details><details class="toggle method-toggle" open><summary><section id="method.exit_region" class="method trait-impl"><a class="src rightside" href="../../src/halo2_frontend/dev.rs.html#366-372">source</a><a href="#method.exit_region" class="anchor">§</a><h4 class="code-header">fn <a href="../plonk/circuit/trait.Assignment.html#tymethod.exit_region" class="fn">exit_region</a>(&mut self)</h4></section></summary><div class='docblock'>Exits the current region. <a href="../plonk/circuit/trait.Assignment.html#tymethod.exit_region">Read more</a></div></details><details class="toggle method-toggle" open><summary><section id="method.annotate_column" class="method trait-impl"><a class="src rightside" href="../../src/halo2_frontend/dev.rs.html#374-388">source</a><a href="#method.annotate_column" class="anchor">§</a><h4 class="code-header">fn <a href="../plonk/circuit/trait.Assignment.html#tymethod.annotate_column" class="fn">annotate_column</a><A, AR>(&mut self, annotation: A, column: <a class="struct" href="../plonk/circuit/expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="enum" href="../../halo2_middleware/circuit/enum.Any.html" title="enum halo2_middleware::circuit::Any">Any</a>>)<div class="where">where
+ N: <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/function/trait.FnOnce.html" title="trait core::ops::function::FnOnce">FnOnce</a>() -> NR,</div></h4></section></summary><div class='docblock'>Creates a new region and enters into it. <a href="../plonk/circuit/trait.Assignment.html#tymethod.enter_region">Read more</a></div></details><details class="toggle method-toggle" open><summary><section id="method.exit_region" class="method trait-impl"><a class="src rightside" href="../../src/halo2_frontend/dev.rs.html#366-372">source</a><a href="#method.exit_region" class="anchor">§</a><h4 class="code-header">fn <a href="../plonk/circuit/trait.Assignment.html#tymethod.exit_region" class="fn">exit_region</a>(&mut self)</h4></section></summary><div class='docblock'>Exits the current region. <a href="../plonk/circuit/trait.Assignment.html#tymethod.exit_region">Read more</a></div></details><details class="toggle method-toggle" open><summary><section id="method.annotate_column" class="method trait-impl"><a class="src rightside" href="../../src/halo2_frontend/dev.rs.html#374-388">source</a><a href="#method.annotate_column" class="anchor">§</a><h4 class="code-header">fn <a href="../plonk/circuit/trait.Assignment.html#tymethod.annotate_column" class="fn">annotate_column</a><A, AR>(&mut self, annotation: A, column: <a class="struct" href="../plonk/circuit/expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><Any>)<div class="where">where
A: <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/function/trait.FnOnce.html" title="trait core::ops::function::FnOnce">FnOnce</a>() -> AR,
AR: <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.Into.html" title="trait core::convert::Into">Into</a><<a class="struct" href="https://doc.rust-lang.org/nightly/alloc/string/struct.String.html" title="struct alloc::string::String">String</a>>,</div></h4></section></summary><div class='docblock'>Allows the developer to include an annotation for an specific column within a <code>Region</code>. <a href="../plonk/circuit/trait.Assignment.html#tymethod.annotate_column">Read more</a></div></details><details class="toggle method-toggle" open><summary><section id="method.enable_selector" class="method trait-impl"><a class="src rightside" href="../../src/halo2_frontend/dev.rs.html#390-420">source</a><a href="#method.enable_selector" class="anchor">§</a><h4 class="code-header">fn <a href="../plonk/circuit/trait.Assignment.html#tymethod.enable_selector" class="fn">enable_selector</a><A, AR>(
&mut self,
@@ -205,9 +205,9 @@ <h2 id="examples"><a class="doc-anchor" href="#examples">§</a>Examples</h2>
A: <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/function/trait.FnOnce.html" title="trait core::ops::function::FnOnce">FnOnce</a>() -> AR,
AR: <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.Into.html" title="trait core::convert::Into">Into</a><<a class="struct" href="https://doc.rust-lang.org/nightly/alloc/string/struct.String.html" title="struct alloc::string::String">String</a>>,</div></h4></section></summary><div class='docblock'>Assign a fixed value</div></details><details class="toggle method-toggle" open><summary><section id="method.copy" class="method trait-impl"><a class="src rightside" href="../../src/halo2_frontend/dev.rs.html#539-561">source</a><a href="#method.copy" class="anchor">§</a><h4 class="code-header">fn <a href="../plonk/circuit/trait.Assignment.html#tymethod.copy" class="fn">copy</a>(
&mut self,
- left_column: <a class="struct" href="../plonk/circuit/expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="enum" href="../../halo2_middleware/circuit/enum.Any.html" title="enum halo2_middleware::circuit::Any">Any</a>>,
+ left_column: <a class="struct" href="../plonk/circuit/expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><Any>,
left_row: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>,
- right_column: <a class="struct" href="../plonk/circuit/expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="enum" href="../../halo2_middleware/circuit/enum.Any.html" title="enum halo2_middleware::circuit::Any">Any</a>>,
+ right_column: <a class="struct" href="../plonk/circuit/expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><Any>,
right_row: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>
) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a><<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.unit.html">()</a>, <a class="enum" href="../plonk/error/enum.Error.html" title="enum halo2_frontend::plonk::error::Error">Error</a>></h4></section></summary><div class='docblock'>Assign two cells to have the same value</div></details><details class="toggle method-toggle" open><summary><section id="method.fill_from_row" class="method trait-impl"><a class="src rightside" href="../../src/halo2_frontend/dev.rs.html#563-586">source</a><a href="#method.fill_from_row" class="anchor">§</a><h4 class="code-header">fn <a href="../plonk/circuit/trait.Assignment.html#tymethod.fill_from_row" class="fn">fill_from_row</a>(
&mut self,
diff --git a/halo2_frontend/plonk/circuit/constraint_system/struct.ConstraintSystem.html b/halo2_frontend/plonk/circuit/constraint_system/struct.ConstraintSystem.html
index 8ae98b2b60..b28db09b2b 100644
--- a/halo2_frontend/plonk/circuit/constraint_system/struct.ConstraintSystem.html
+++ b/halo2_frontend/plonk/circuit/constraint_system/struct.ConstraintSystem.html
@@ -19,7 +19,7 @@
</div></details><h2 id="implementations" class="section-header">Implementations<a href="#implementations" class="anchor">§</a></h2><div id="implementations-list"><details class="toggle implementors-toggle" open><summary><section id="impl-ConstraintSystem%3CF%3E" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#338-1107">source</a><a href="#impl-ConstraintSystem%3CF%3E" class="anchor">§</a><h3 class="code-header">impl<F: Field> <a class="struct" href="struct.ConstraintSystem.html" title="struct halo2_frontend::plonk::circuit::constraint_system::ConstraintSystem">ConstraintSystem</a><F></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.enable_constant" class="method"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#344-349">source</a><h4 class="code-header">pub fn <a href="#method.enable_constant" class="fn">enable_constant</a>(&mut self, column: <a class="struct" href="../expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="struct" href="../struct.Fixed.html" title="struct halo2_frontend::plonk::circuit::Fixed">Fixed</a>>)</h4></section></summary><div class="docblock"><p>Enables this fixed column to be used for global constant assignments.</p>
<h5 id="side-effects"><a class="doc-anchor" href="#side-effects">§</a>Side-effects</h5>
<p>The column will be equality-enabled.</p>
-</div></details><details class="toggle method-toggle" open><summary><section id="method.enable_equality" class="method"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#352-356">source</a><h4 class="code-header">pub fn <a href="#method.enable_equality" class="fn">enable_equality</a><C: <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.Into.html" title="trait core::convert::Into">Into</a><<a class="struct" href="../expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="enum" href="../../../../halo2_middleware/circuit/enum.Any.html" title="enum halo2_middleware::circuit::Any">Any</a>>>>(&mut self, column: C)</h4></section></summary><div class="docblock"><p>Enable the ability to enforce equality over cells in this column</p>
+</div></details><details class="toggle method-toggle" open><summary><section id="method.enable_equality" class="method"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#352-356">source</a><h4 class="code-header">pub fn <a href="#method.enable_equality" class="fn">enable_equality</a><C: <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.Into.html" title="trait core::convert::Into">Into</a><<a class="struct" href="../expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><Any>>>(&mut self, column: C)</h4></section></summary><div class="docblock"><p>Enable the ability to enforce equality over cells in this column</p>
</div></details><details class="toggle method-toggle" open><summary><section id="method.lookup" class="method"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#362-386">source</a><h4 class="code-header">pub fn <a href="#method.lookup" class="fn">lookup</a><S: <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.AsRef.html" title="trait core::convert::AsRef">AsRef</a><<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.str.html">str</a>>>(
&mut self,
name: S,
@@ -39,7 +39,7 @@ <h5 id="side-effects"><a class="doc-anchor" href="#side-effects">§</a>Side-effe
name: S,
shuffle_map: impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/function/trait.FnOnce.html" title="trait core::ops::function::FnOnce">FnOnce</a>(&mut <a class="struct" href="struct.VirtualCells.html" title="struct halo2_frontend::plonk::circuit::constraint_system::VirtualCells">VirtualCells</a><'_, F>) -> <a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a><(<a class="enum" href="../expression/enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F>, <a class="enum" href="../expression/enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F>)>
) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a></h4></section></summary><div class="docblock"><p>Add a shuffle argument for some input expressions and table expressions.</p>
-</div></details><section id="method.get_any_query_index" class="method"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#529-541">source</a><h4 class="code-header">pub fn <a href="#method.get_any_query_index" class="fn">get_any_query_index</a>(&self, column: <a class="struct" href="../expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="enum" href="../../../../halo2_middleware/circuit/enum.Any.html" title="enum halo2_middleware::circuit::Any">Any</a>>, at: <a class="struct" href="../../../../halo2_middleware/poly/struct.Rotation.html" title="struct halo2_middleware::poly::Rotation">Rotation</a>) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a></h4></section><details class="toggle method-toggle" open><summary><section id="method.set_minimum_degree" class="method"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#546-548">source</a><h4 class="code-header">pub fn <a href="#method.set_minimum_degree" class="fn">set_minimum_degree</a>(&mut self, degree: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>)</h4></section></summary><div class="docblock"><p>Sets the minimum degree required by the circuit, which can be set to a
+</div></details><section id="method.get_any_query_index" class="method"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#529-541">source</a><h4 class="code-header">pub fn <a href="#method.get_any_query_index" class="fn">get_any_query_index</a>(&self, column: <a class="struct" href="../expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><Any>, at: Rotation) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a></h4></section><details class="toggle method-toggle" open><summary><section id="method.set_minimum_degree" class="method"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#546-548">source</a><h4 class="code-header">pub fn <a href="#method.set_minimum_degree" class="fn">set_minimum_degree</a>(&mut self, degree: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>)</h4></section></summary><div class="docblock"><p>Sets the minimum degree required by the circuit, which can be set to a
larger amount than actually needed. This can be used, for example, to
force the permutation argument to involve more columns in the same set.</p>
</div></details><details class="toggle method-toggle" open><summary><section id="method.create_gate" class="method"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#556-587">source</a><h4 class="code-header">pub fn <a href="#method.create_gate" class="fn">create_gate</a><C: <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.Into.html" title="trait core::convert::Into">Into</a><<a class="struct" href="struct.Constraint.html" title="struct halo2_frontend::plonk::circuit::constraint_system::Constraint">Constraint</a><F>>, Iter: <a class="trait" href="https://doc.rust-lang.org/nightly/core/iter/traits/collect/trait.IntoIterator.html" title="trait core::iter::traits::collect::IntoIterator">IntoIterator</a><Item = C>, S: <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.AsRef.html" title="trait core::convert::AsRef">AsRef</a><<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.str.html">str</a>>>(
@@ -80,11 +80,11 @@ <h5 id="panics"><a class="doc-anchor" href="#panics">§</a>Panics</h5>
</div></details><details class="toggle method-toggle" open><summary><section id="method.annotate_lookup_any_column" class="method"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#792-799">source</a><h4 class="code-header">pub fn <a href="#method.annotate_lookup_any_column" class="fn">annotate_lookup_any_column</a><A, AR, T>(&mut self, column: T, annotation: A)<div class="where">where
A: <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/function/trait.Fn.html" title="trait core::ops::function::Fn">Fn</a>() -> AR,
AR: <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.Into.html" title="trait core::convert::Into">Into</a><<a class="struct" href="https://doc.rust-lang.org/nightly/alloc/string/struct.String.html" title="struct alloc::string::String">String</a>>,
- T: <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.Into.html" title="trait core::convert::Into">Into</a><<a class="struct" href="../expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="enum" href="../../../../halo2_middleware/circuit/enum.Any.html" title="enum halo2_middleware::circuit::Any">Any</a>>>,</div></h4></section></summary><div class="docblock"><p>Annotate an Instance column.</p>
+ T: <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.Into.html" title="trait core::convert::Into">Into</a><<a class="struct" href="../expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><Any>>,</div></h4></section></summary><div class="docblock"><p>Annotate an Instance column.</p>
</div></details><details class="toggle method-toggle" open><summary><section id="method.annotate_column" class="method"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#802-817">source</a><h4 class="code-header">pub fn <a href="#method.annotate_column" class="fn">annotate_column</a><A, AR, T>(&mut self, column: T, annotation: A)<div class="where">where
A: <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/function/trait.Fn.html" title="trait core::ops::function::Fn">Fn</a>() -> AR,
AR: <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.Into.html" title="trait core::convert::Into">Into</a><<a class="struct" href="https://doc.rust-lang.org/nightly/alloc/string/struct.String.html" title="struct alloc::string::String">String</a>>,
- T: <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.Into.html" title="trait core::convert::Into">Into</a><<a class="struct" href="../expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="enum" href="../../../../halo2_middleware/circuit/enum.Any.html" title="enum halo2_middleware::circuit::Any">Any</a>>>,</div></h4></section></summary><div class="docblock"><p>Annotate a column.</p>
+ T: <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.Into.html" title="trait core::convert::Into">Into</a><<a class="struct" href="../expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><Any>>,</div></h4></section></summary><div class="docblock"><p>Annotate a column.</p>
</div></details><details class="toggle method-toggle" open><summary><section id="method.fixed_column" class="method"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#820-827">source</a><h4 class="code-header">pub fn <a href="#method.fixed_column" class="fn">fixed_column</a>(&mut self) -> <a class="struct" href="../expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="struct" href="../struct.Fixed.html" title="struct halo2_frontend::plonk::circuit::Fixed">Fixed</a>></h4></section></summary><div class="docblock"><p>Allocate a new fixed column</p>
</div></details><details class="toggle method-toggle" open><summary><section id="method.unblinded_advice_column" class="method"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#830-832">source</a><h4 class="code-header">pub fn <a href="#method.unblinded_advice_column" class="fn">unblinded_advice_column</a>(&mut self) -> <a class="struct" href="../expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="struct" href="../struct.Advice.html" title="struct halo2_frontend::plonk::circuit::Advice">Advice</a>></h4></section></summary><div class="docblock"><p>Allocate a new unblinded advice column at <code>FirstPhase</code></p>
</div></details><details class="toggle method-toggle" open><summary><section id="method.advice_column" class="method"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#835-837">source</a><h4 class="code-header">pub fn <a href="#method.advice_column" class="fn">advice_column</a>(&mut self) -> <a class="struct" href="../expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="struct" href="../struct.Advice.html" title="struct halo2_frontend::plonk::circuit::Advice">Advice</a>></h4></section></summary><div class="docblock"><p>Allocate a new advice column at <code>FirstPhase</code></p>
@@ -116,14 +116,14 @@ <h5 id="panics-2"><a class="doc-anchor" href="#panics-2">§</a>Panics</h5>
</div></details><details class="toggle method-toggle" open><summary><section id="method.challenge_phase" class="method"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#1059-1061">source</a><h4 class="code-header">pub fn <a href="#method.challenge_phase" class="fn">challenge_phase</a>(&self) -> <a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a><<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u8.html">u8</a>></h4></section></summary><div class="docblock"><p>Returns phase of challenges</p>
</div></details><details class="toggle method-toggle" open><summary><section id="method.gates" class="method"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#1064-1066">source</a><h4 class="code-header">pub fn <a href="#method.gates" class="fn">gates</a>(&self) -> &<a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a><<a class="struct" href="struct.Gate.html" title="struct halo2_frontend::plonk::circuit::constraint_system::Gate">Gate</a><F>></h4></section></summary><div class="docblock"><p>Returns gates</p>
</div></details><details class="toggle method-toggle" open><summary><section id="method.general_column_annotations" class="method"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#1069-1071">source</a><h4 class="code-header">pub fn <a href="#method.general_column_annotations" class="fn">general_column_annotations</a>(&self) -> &<a class="struct" href="https://doc.rust-lang.org/nightly/std/collections/hash/map/struct.HashMap.html" title="struct std::collections::hash::map::HashMap">HashMap</a><<a class="struct" href="../../../dev/metadata/struct.Column.html" title="struct halo2_frontend::dev::metadata::Column">ColumnMid</a>, <a class="struct" href="https://doc.rust-lang.org/nightly/alloc/string/struct.String.html" title="struct alloc::string::String">String</a>></h4></section></summary><div class="docblock"><p>Returns general column annotations</p>
-</div></details><details class="toggle method-toggle" open><summary><section id="method.advice_queries" class="method"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#1074-1076">source</a><h4 class="code-header">pub fn <a href="#method.advice_queries" class="fn">advice_queries</a>(&self) -> &<a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a><(<a class="struct" href="../expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="struct" href="../struct.Advice.html" title="struct halo2_frontend::plonk::circuit::Advice">Advice</a>>, <a class="struct" href="../../../../halo2_middleware/poly/struct.Rotation.html" title="struct halo2_middleware::poly::Rotation">Rotation</a>)></h4></section></summary><div class="docblock"><p>Returns advice queries</p>
-</div></details><details class="toggle method-toggle" open><summary><section id="method.instance_queries" class="method"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#1079-1081">source</a><h4 class="code-header">pub fn <a href="#method.instance_queries" class="fn">instance_queries</a>(&self) -> &<a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a><(<a class="struct" href="../expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="struct" href="../struct.Instance.html" title="struct halo2_frontend::plonk::circuit::Instance">Instance</a>>, <a class="struct" href="../../../../halo2_middleware/poly/struct.Rotation.html" title="struct halo2_middleware::poly::Rotation">Rotation</a>)></h4></section></summary><div class="docblock"><p>Returns instance queries</p>
-</div></details><details class="toggle method-toggle" open><summary><section id="method.fixed_queries" class="method"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#1084-1086">source</a><h4 class="code-header">pub fn <a href="#method.fixed_queries" class="fn">fixed_queries</a>(&self) -> &<a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a><(<a class="struct" href="../expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="struct" href="../struct.Fixed.html" title="struct halo2_frontend::plonk::circuit::Fixed">Fixed</a>>, <a class="struct" href="../../../../halo2_middleware/poly/struct.Rotation.html" title="struct halo2_middleware::poly::Rotation">Rotation</a>)></h4></section></summary><div class="docblock"><p>Returns fixed queries</p>
+</div></details><details class="toggle method-toggle" open><summary><section id="method.advice_queries" class="method"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#1074-1076">source</a><h4 class="code-header">pub fn <a href="#method.advice_queries" class="fn">advice_queries</a>(&self) -> &<a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a><(<a class="struct" href="../expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="struct" href="../struct.Advice.html" title="struct halo2_frontend::plonk::circuit::Advice">Advice</a>>, Rotation)></h4></section></summary><div class="docblock"><p>Returns advice queries</p>
+</div></details><details class="toggle method-toggle" open><summary><section id="method.instance_queries" class="method"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#1079-1081">source</a><h4 class="code-header">pub fn <a href="#method.instance_queries" class="fn">instance_queries</a>(&self) -> &<a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a><(<a class="struct" href="../expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="struct" href="../struct.Instance.html" title="struct halo2_frontend::plonk::circuit::Instance">Instance</a>>, Rotation)></h4></section></summary><div class="docblock"><p>Returns instance queries</p>
+</div></details><details class="toggle method-toggle" open><summary><section id="method.fixed_queries" class="method"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#1084-1086">source</a><h4 class="code-header">pub fn <a href="#method.fixed_queries" class="fn">fixed_queries</a>(&self) -> &<a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a><(<a class="struct" href="../expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="struct" href="../struct.Fixed.html" title="struct halo2_frontend::plonk::circuit::Fixed">Fixed</a>>, Rotation)></h4></section></summary><div class="docblock"><p>Returns fixed queries</p>
</div></details><details class="toggle method-toggle" open><summary><section id="method.permutation" class="method"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#1089-1091">source</a><h4 class="code-header">pub fn <a href="#method.permutation" class="fn">permutation</a>(&self) -> &<a class="struct" href="../../permutation/struct.Argument.html" title="struct halo2_frontend::plonk::permutation::Argument">Argument</a></h4></section></summary><div class="docblock"><p>Returns permutation argument</p>
</div></details><details class="toggle method-toggle" open><summary><section id="method.lookups" class="method"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#1094-1096">source</a><h4 class="code-header">pub fn <a href="#method.lookups" class="fn">lookups</a>(&self) -> &<a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a><<a class="struct" href="../../lookup/struct.Argument.html" title="struct halo2_frontend::plonk::lookup::Argument">Argument</a><F>></h4></section></summary><div class="docblock"><p>Returns lookup arguments</p>
</div></details><details class="toggle method-toggle" open><summary><section id="method.shuffles" class="method"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#1099-1101">source</a><h4 class="code-header">pub fn <a href="#method.shuffles" class="fn">shuffles</a>(&self) -> &<a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a><<a class="struct" href="../../shuffle/struct.Argument.html" title="struct halo2_frontend::plonk::shuffle::Argument">Argument</a><F>></h4></section></summary><div class="docblock"><p>Returns shuffle arguments</p>
</div></details><details class="toggle method-toggle" open><summary><section id="method.constants" class="method"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#1104-1106">source</a><h4 class="code-header">pub fn <a href="#method.constants" class="fn">constants</a>(&self) -> &<a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a><<a class="struct" href="../expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="struct" href="../struct.Fixed.html" title="struct halo2_frontend::plonk::circuit::Fixed">Fixed</a>>></h4></section></summary><div class="docblock"><p>Returns constants</p>
-</div></details></div></details></div><h2 id="trait-implementations" class="section-header">Trait Implementations<a href="#trait-implementations" class="anchor">§</a></h2><div id="trait-implementations-list"><details class="toggle implementors-toggle" open><summary><section id="impl-Clone-for-ConstraintSystem%3CF%3E" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#260">source</a><a href="#impl-Clone-for-ConstraintSystem%3CF%3E" class="anchor">§</a><h3 class="code-header">impl<F: <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a> + Field> <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a> for <a class="struct" href="struct.ConstraintSystem.html" title="struct halo2_frontend::plonk::circuit::constraint_system::ConstraintSystem">ConstraintSystem</a><F></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.clone" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#260">source</a><a href="#method.clone" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#tymethod.clone" class="fn">clone</a>(&self) -> <a class="struct" href="struct.ConstraintSystem.html" title="struct halo2_frontend::plonk::circuit::constraint_system::ConstraintSystem">ConstraintSystem</a><F></h4></section></summary><div class='docblock'>Returns a copy of the value. <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#tymethod.clone">Read more</a></div></details><details class="toggle method-toggle" open><summary><section id="method.clone_from" class="method trait-impl"><span class="rightside"><span class="since" title="Stable since Rust version 1.0.0">1.0.0</span> · <a class="src" href="https://doc.rust-lang.org/nightly/src/core/clone.rs.html#169">source</a></span><a href="#method.clone_from" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#method.clone_from" class="fn">clone_from</a>(&mut self, source: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&Self</a>)</h4></section></summary><div class='docblock'>Performs copy-assignment from <code>source</code>. <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#method.clone_from">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-Debug-for-ConstraintSystem%3CF%3E" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#260">source</a><a href="#impl-Debug-for-ConstraintSystem%3CF%3E" class="anchor">§</a><h3 class="code-header">impl<F: <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a> + Field> <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a> for <a class="struct" href="struct.ConstraintSystem.html" title="struct halo2_frontend::plonk::circuit::constraint_system::ConstraintSystem">ConstraintSystem</a><F></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.fmt" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#260">source</a><a href="#method.fmt" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt" class="fn">fmt</a>(&self, f: &mut <a class="struct" href="https://doc.rust-lang.org/nightly/core/fmt/struct.Formatter.html" title="struct core::fmt::Formatter">Formatter</a><'_>) -> <a class="type" href="https://doc.rust-lang.org/nightly/core/fmt/type.Result.html" title="type core::fmt::Result">Result</a></h4></section></summary><div class='docblock'>Formats the value using the given formatter. <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-Default-for-ConstraintSystem%3CF%3E" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#311-336">source</a><a href="#impl-Default-for-ConstraintSystem%3CF%3E" class="anchor">§</a><h3 class="code-header">impl<F: Field> <a class="trait" href="https://doc.rust-lang.org/nightly/core/default/trait.Default.html" title="trait core::default::Default">Default</a> for <a class="struct" href="struct.ConstraintSystem.html" title="struct halo2_frontend::plonk::circuit::constraint_system::ConstraintSystem">ConstraintSystem</a><F></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.default" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#312-335">source</a><a href="#method.default" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/default/trait.Default.html#tymethod.default" class="fn">default</a>() -> <a class="struct" href="struct.ConstraintSystem.html" title="struct halo2_frontend::plonk::circuit::constraint_system::ConstraintSystem">ConstraintSystem</a><F></h4></section></summary><div class='docblock'>Returns the “default value” for a type. <a href="https://doc.rust-lang.org/nightly/core/default/trait.Default.html#tymethod.default">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-From%3CConstraintSystem%3CF%3E%3E-for-ConstraintSystemMid%3CF%3E" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#194-256">source</a><a href="#impl-From%3CConstraintSystem%3CF%3E%3E-for-ConstraintSystemMid%3CF%3E" class="anchor">§</a><h3 class="code-header">impl<F: Field> <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html" title="trait core::convert::From">From</a><<a class="struct" href="struct.ConstraintSystem.html" title="struct halo2_frontend::plonk::circuit::constraint_system::ConstraintSystem">ConstraintSystem</a><F>> for <a class="struct" href="../../../../halo2_middleware/circuit/struct.ConstraintSystemMid.html" title="struct halo2_middleware::circuit::ConstraintSystemMid">ConstraintSystemMid</a><F></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.from" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#195-255">source</a><a href="#method.from" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html#tymethod.from" class="fn">from</a>(cs: <a class="struct" href="struct.ConstraintSystem.html" title="struct halo2_frontend::plonk::circuit::constraint_system::ConstraintSystem">ConstraintSystem</a><F>) -> Self</h4></section></summary><div class='docblock'>Converts to this type from the input type.</div></details></div></details></div><h2 id="synthetic-implementations" class="section-header">Auto Trait Implementations<a href="#synthetic-implementations" class="anchor">§</a></h2><div id="synthetic-implementations-list"><section id="impl-Freeze-for-ConstraintSystem%3CF%3E" class="impl"><a href="#impl-Freeze-for-ConstraintSystem%3CF%3E" class="anchor">§</a><h3 class="code-header">impl<F> <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Freeze.html" title="trait core::marker::Freeze">Freeze</a> for <a class="struct" href="struct.ConstraintSystem.html" title="struct halo2_frontend::plonk::circuit::constraint_system::ConstraintSystem">ConstraintSystem</a><F></h3></section><section id="impl-RefUnwindSafe-for-ConstraintSystem%3CF%3E" class="impl"><a href="#impl-RefUnwindSafe-for-ConstraintSystem%3CF%3E" class="anchor">§</a><h3 class="code-header">impl<F> <a class="trait" href="https://doc.rust-lang.org/nightly/core/panic/unwind_safe/trait.RefUnwindSafe.html" title="trait core::panic::unwind_safe::RefUnwindSafe">RefUnwindSafe</a> for <a class="struct" href="struct.ConstraintSystem.html" title="struct halo2_frontend::plonk::circuit::constraint_system::ConstraintSystem">ConstraintSystem</a><F><div class="where">where
+</div></details></div></details></div><h2 id="trait-implementations" class="section-header">Trait Implementations<a href="#trait-implementations" class="anchor">§</a></h2><div id="trait-implementations-list"><details class="toggle implementors-toggle" open><summary><section id="impl-Clone-for-ConstraintSystem%3CF%3E" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#260">source</a><a href="#impl-Clone-for-ConstraintSystem%3CF%3E" class="anchor">§</a><h3 class="code-header">impl<F: <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a> + Field> <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a> for <a class="struct" href="struct.ConstraintSystem.html" title="struct halo2_frontend::plonk::circuit::constraint_system::ConstraintSystem">ConstraintSystem</a><F></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.clone" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#260">source</a><a href="#method.clone" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#tymethod.clone" class="fn">clone</a>(&self) -> <a class="struct" href="struct.ConstraintSystem.html" title="struct halo2_frontend::plonk::circuit::constraint_system::ConstraintSystem">ConstraintSystem</a><F></h4></section></summary><div class='docblock'>Returns a copy of the value. <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#tymethod.clone">Read more</a></div></details><details class="toggle method-toggle" open><summary><section id="method.clone_from" class="method trait-impl"><span class="rightside"><span class="since" title="Stable since Rust version 1.0.0">1.0.0</span> · <a class="src" href="https://doc.rust-lang.org/nightly/src/core/clone.rs.html#169">source</a></span><a href="#method.clone_from" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#method.clone_from" class="fn">clone_from</a>(&mut self, source: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&Self</a>)</h4></section></summary><div class='docblock'>Performs copy-assignment from <code>source</code>. <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#method.clone_from">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-Debug-for-ConstraintSystem%3CF%3E" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#260">source</a><a href="#impl-Debug-for-ConstraintSystem%3CF%3E" class="anchor">§</a><h3 class="code-header">impl<F: <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a> + Field> <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a> for <a class="struct" href="struct.ConstraintSystem.html" title="struct halo2_frontend::plonk::circuit::constraint_system::ConstraintSystem">ConstraintSystem</a><F></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.fmt" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#260">source</a><a href="#method.fmt" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt" class="fn">fmt</a>(&self, f: &mut <a class="struct" href="https://doc.rust-lang.org/nightly/core/fmt/struct.Formatter.html" title="struct core::fmt::Formatter">Formatter</a><'_>) -> <a class="type" href="https://doc.rust-lang.org/nightly/core/fmt/type.Result.html" title="type core::fmt::Result">Result</a></h4></section></summary><div class='docblock'>Formats the value using the given formatter. <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-Default-for-ConstraintSystem%3CF%3E" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#311-336">source</a><a href="#impl-Default-for-ConstraintSystem%3CF%3E" class="anchor">§</a><h3 class="code-header">impl<F: Field> <a class="trait" href="https://doc.rust-lang.org/nightly/core/default/trait.Default.html" title="trait core::default::Default">Default</a> for <a class="struct" href="struct.ConstraintSystem.html" title="struct halo2_frontend::plonk::circuit::constraint_system::ConstraintSystem">ConstraintSystem</a><F></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.default" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#312-335">source</a><a href="#method.default" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/default/trait.Default.html#tymethod.default" class="fn">default</a>() -> <a class="struct" href="struct.ConstraintSystem.html" title="struct halo2_frontend::plonk::circuit::constraint_system::ConstraintSystem">ConstraintSystem</a><F></h4></section></summary><div class='docblock'>Returns the “default value” for a type. <a href="https://doc.rust-lang.org/nightly/core/default/trait.Default.html#tymethod.default">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-From%3CConstraintSystem%3CF%3E%3E-for-ConstraintSystemMid%3CF%3E" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#194-256">source</a><a href="#impl-From%3CConstraintSystem%3CF%3E%3E-for-ConstraintSystemMid%3CF%3E" class="anchor">§</a><h3 class="code-header">impl<F: Field> <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html" title="trait core::convert::From">From</a><<a class="struct" href="struct.ConstraintSystem.html" title="struct halo2_frontend::plonk::circuit::constraint_system::ConstraintSystem">ConstraintSystem</a><F>> for ConstraintSystemMid<F></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.from" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#195-255">source</a><a href="#method.from" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html#tymethod.from" class="fn">from</a>(cs: <a class="struct" href="struct.ConstraintSystem.html" title="struct halo2_frontend::plonk::circuit::constraint_system::ConstraintSystem">ConstraintSystem</a><F>) -> Self</h4></section></summary><div class='docblock'>Converts to this type from the input type.</div></details></div></details></div><h2 id="synthetic-implementations" class="section-header">Auto Trait Implementations<a href="#synthetic-implementations" class="anchor">§</a></h2><div id="synthetic-implementations-list"><section id="impl-Freeze-for-ConstraintSystem%3CF%3E" class="impl"><a href="#impl-Freeze-for-ConstraintSystem%3CF%3E" class="anchor">§</a><h3 class="code-header">impl<F> <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Freeze.html" title="trait core::marker::Freeze">Freeze</a> for <a class="struct" href="struct.ConstraintSystem.html" title="struct halo2_frontend::plonk::circuit::constraint_system::ConstraintSystem">ConstraintSystem</a><F></h3></section><section id="impl-RefUnwindSafe-for-ConstraintSystem%3CF%3E" class="impl"><a href="#impl-RefUnwindSafe-for-ConstraintSystem%3CF%3E" class="anchor">§</a><h3 class="code-header">impl<F> <a class="trait" href="https://doc.rust-lang.org/nightly/core/panic/unwind_safe/trait.RefUnwindSafe.html" title="trait core::panic::unwind_safe::RefUnwindSafe">RefUnwindSafe</a> for <a class="struct" href="struct.ConstraintSystem.html" title="struct halo2_frontend::plonk::circuit::constraint_system::ConstraintSystem">ConstraintSystem</a><F><div class="where">where
F: <a class="trait" href="https://doc.rust-lang.org/nightly/core/panic/unwind_safe/trait.RefUnwindSafe.html" title="trait core::panic::unwind_safe::RefUnwindSafe">RefUnwindSafe</a>,</div></h3></section><section id="impl-Send-for-ConstraintSystem%3CF%3E" class="impl"><a href="#impl-Send-for-ConstraintSystem%3CF%3E" class="anchor">§</a><h3 class="code-header">impl<F> <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Send.html" title="trait core::marker::Send">Send</a> for <a class="struct" href="struct.ConstraintSystem.html" title="struct halo2_frontend::plonk::circuit::constraint_system::ConstraintSystem">ConstraintSystem</a><F></h3></section><section id="impl-Sync-for-ConstraintSystem%3CF%3E" class="impl"><a href="#impl-Sync-for-ConstraintSystem%3CF%3E" class="anchor">§</a><h3 class="code-header">impl<F> <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sync.html" title="trait core::marker::Sync">Sync</a> for <a class="struct" href="struct.ConstraintSystem.html" title="struct halo2_frontend::plonk::circuit::constraint_system::ConstraintSystem">ConstraintSystem</a><F></h3></section><section id="impl-Unpin-for-ConstraintSystem%3CF%3E" class="impl"><a href="#impl-Unpin-for-ConstraintSystem%3CF%3E" class="anchor">§</a><h3 class="code-header">impl<F> <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Unpin.html" title="trait core::marker::Unpin">Unpin</a> for <a class="struct" href="struct.ConstraintSystem.html" title="struct halo2_frontend::plonk::circuit::constraint_system::ConstraintSystem">ConstraintSystem</a><F><div class="where">where
F: <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Unpin.html" title="trait core::marker::Unpin">Unpin</a>,</div></h3></section><section id="impl-UnwindSafe-for-ConstraintSystem%3CF%3E" class="impl"><a href="#impl-UnwindSafe-for-ConstraintSystem%3CF%3E" class="anchor">§</a><h3 class="code-header">impl<F> <a class="trait" href="https://doc.rust-lang.org/nightly/core/panic/unwind_safe/trait.UnwindSafe.html" title="trait core::panic::unwind_safe::UnwindSafe">UnwindSafe</a> for <a class="struct" href="struct.ConstraintSystem.html" title="struct halo2_frontend::plonk::circuit::constraint_system::ConstraintSystem">ConstraintSystem</a><F><div class="where">where
F: <a class="trait" href="https://doc.rust-lang.org/nightly/core/panic/unwind_safe/trait.UnwindSafe.html" title="trait core::panic::unwind_safe::UnwindSafe">UnwindSafe</a>,</div></h3></section></div><h2 id="blanket-implementations" class="section-header">Blanket Implementations<a href="#blanket-implementations" class="anchor">§</a></h2><div id="blanket-implementations-list"><details class="toggle implementors-toggle"><summary><section id="impl-Any-for-T" class="impl"><a class="src rightside" href="https://doc.rust-lang.org/nightly/src/core/any.rs.html#140">source</a><a href="#impl-Any-for-T" class="anchor">§</a><h3 class="code-header">impl<T> <a class="trait" href="https://doc.rust-lang.org/nightly/core/any/trait.Any.html" title="trait core::any::Any">Any</a> for T<div class="where">where
diff --git a/halo2_frontend/plonk/circuit/constraint_system/struct.VirtualCell.html b/halo2_frontend/plonk/circuit/constraint_system/struct.VirtualCell.html
index 5d513fc125..2565034da3 100644
--- a/halo2_frontend/plonk/circuit/constraint_system/struct.VirtualCell.html
+++ b/halo2_frontend/plonk/circuit/constraint_system/struct.VirtualCell.html
@@ -15,11 +15,11 @@
</script>
</head><body class="rustdoc struct"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle" title="show sidebar"></button></nav><nav class="sidebar"><div class="sidebar-crate"><h2><a href="../../../../halo2_frontend/index.html">halo2_frontend</a><span class="version">0.3.0</span></h2></div><h2 class="location"><a href="#">VirtualCell</a></h2><div class="sidebar-elems"><section><h3><a href="#fields">Fields</a></h3><ul class="block structfield"><li><a href="#structfield.column">column</a></li><li><a href="#structfield.rotation">rotation</a></li></ul><h3><a href="#trait-implementations">Trait Implementations</a></h3><ul class="block trait-implementation"><li><a href="#impl-Clone-for-VirtualCell">Clone</a></li><li><a href="#impl-Debug-for-VirtualCell">Debug</a></li><li><a href="#impl-From%3C(Col,+Rotation)%3E-for-VirtualCell">From<(Col, Rotation)></a></li><li><a href="#impl-From%3CVirtualCell%3E-for-VirtualCell">From<VirtualCell></a></li></ul><h3><a href="#synthetic-implementations">Auto Trait Implementations</a></h3><ul class="block synthetic-implementation"><li><a href="#impl-Freeze-for-VirtualCell">Freeze</a></li><li><a href="#impl-RefUnwindSafe-for-VirtualCell">RefUnwindSafe</a></li><li><a href="#impl-Send-for-VirtualCell">Send</a></li><li><a href="#impl-Sync-for-VirtualCell">Sync</a></li><li><a href="#impl-Unpin-for-VirtualCell">Unpin</a></li><li><a href="#impl-UnwindSafe-for-VirtualCell">UnwindSafe</a></li></ul><h3><a href="#blanket-implementations">Blanket Implementations</a></h3><ul class="block blanket-implementation"><li><a href="#impl-Any-for-T">Any</a></li><li><a href="#impl-Borrow%3CT%3E-for-T">Borrow<T></a></li><li><a href="#impl-BorrowMut%3CT%3E-for-T">BorrowMut<T></a></li><li><a href="#impl-Conv-for-T">Conv</a></li><li><a href="#impl-FmtForward-for-T">FmtForward</a></li><li><a href="#impl-From%3CT%3E-for-T">From<T></a></li><li><a href="#impl-Instrument-for-T">Instrument</a></li><li><a href="#impl-Into%3CU%3E-for-T">Into<U></a></li><li><a href="#impl-IntoEither-for-T">IntoEither</a></li><li><a href="#impl-Pipe-for-T">Pipe</a></li><li><a href="#impl-Pointable-for-T">Pointable</a></li><li><a href="#impl-SyncDeps-for-T">SyncDeps</a></li><li><a href="#impl-Tap-for-T">Tap</a></li><li><a href="#impl-ToOwned-for-T">ToOwned</a></li><li><a href="#impl-TryConv-for-T">TryConv</a></li><li><a href="#impl-TryFrom%3CU%3E-for-T">TryFrom<U></a></li><li><a href="#impl-TryInto%3CU%3E-for-T">TryInto<U></a></li><li><a href="#impl-VZip%3CV%3E-for-T">VZip<V></a></li><li><a href="#impl-WithSubscriber-for-T">WithSubscriber</a></li></ul></section><h2><a href="index.html">In halo2_frontend::plonk::circuit::constraint_system</a></h2></div></nav><div class="sidebar-resizer"></div><main><div class="width-limiter"><rustdoc-search></rustdoc-search><section id="main-content" class="content"><div class="main-heading"><h1>Struct <a href="../../../index.html">halo2_frontend</a>::<wbr><a href="../../index.html">plonk</a>::<wbr><a href="../index.html">circuit</a>::<wbr><a href="index.html">constraint_system</a>::<wbr><a class="struct" href="#">VirtualCell</a><button id="copy-path" title="Copy item path to clipboard">Copy item path</button></h1><span class="out-of-band"><a class="src" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#24-27">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>−</span>]</button></span></div><pre class="rust item-decl"><code>pub struct VirtualCell {
- pub column: <a class="struct" href="../expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="enum" href="../../../../halo2_middleware/circuit/enum.Any.html" title="enum halo2_middleware::circuit::Any">Any</a>>,
- pub rotation: <a class="struct" href="../../../../halo2_middleware/poly/struct.Rotation.html" title="struct halo2_middleware::poly::Rotation">Rotation</a>,
+ pub column: <a class="struct" href="../expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><Any>,
+ pub rotation: Rotation,
}</code></pre><details class="toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>A “virtual cell” is a PLONK cell that has been queried at a particular relative offset
within a custom gate.</p>
-</div></details><h2 id="fields" class="fields section-header">Fields<a href="#fields" class="anchor">§</a></h2><span id="structfield.column" class="structfield section-header"><a href="#structfield.column" class="anchor field">§</a><code>column: <a class="struct" href="../expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="enum" href="../../../../halo2_middleware/circuit/enum.Any.html" title="enum halo2_middleware::circuit::Any">Any</a>></code></span><span id="structfield.rotation" class="structfield section-header"><a href="#structfield.rotation" class="anchor field">§</a><code>rotation: <a class="struct" href="../../../../halo2_middleware/poly/struct.Rotation.html" title="struct halo2_middleware::poly::Rotation">Rotation</a></code></span><h2 id="trait-implementations" class="section-header">Trait Implementations<a href="#trait-implementations" class="anchor">§</a></h2><div id="trait-implementations-list"><details class="toggle implementors-toggle" open><summary><section id="impl-Clone-for-VirtualCell" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#23">source</a><a href="#impl-Clone-for-VirtualCell" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a> for <a class="struct" href="struct.VirtualCell.html" title="struct halo2_frontend::plonk::circuit::constraint_system::VirtualCell">VirtualCell</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.clone" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#23">source</a><a href="#method.clone" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#tymethod.clone" class="fn">clone</a>(&self) -> <a class="struct" href="struct.VirtualCell.html" title="struct halo2_frontend::plonk::circuit::constraint_system::VirtualCell">VirtualCell</a></h4></section></summary><div class='docblock'>Returns a copy of the value. <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#tymethod.clone">Read more</a></div></details><details class="toggle method-toggle" open><summary><section id="method.clone_from" class="method trait-impl"><span class="rightside"><span class="since" title="Stable since Rust version 1.0.0">1.0.0</span> · <a class="src" href="https://doc.rust-lang.org/nightly/src/core/clone.rs.html#169">source</a></span><a href="#method.clone_from" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#method.clone_from" class="fn">clone_from</a>(&mut self, source: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&Self</a>)</h4></section></summary><div class='docblock'>Performs copy-assignment from <code>source</code>. <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#method.clone_from">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-Debug-for-VirtualCell" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#23">source</a><a href="#impl-Debug-for-VirtualCell" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a> for <a class="struct" href="struct.VirtualCell.html" title="struct halo2_frontend::plonk::circuit::constraint_system::VirtualCell">VirtualCell</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.fmt" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#23">source</a><a href="#method.fmt" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt" class="fn">fmt</a>(&self, f: &mut <a class="struct" href="https://doc.rust-lang.org/nightly/core/fmt/struct.Formatter.html" title="struct core::fmt::Formatter">Formatter</a><'_>) -> <a class="type" href="https://doc.rust-lang.org/nightly/core/fmt/type.Result.html" title="type core::fmt::Result">Result</a></h4></section></summary><div class='docblock'>Formats the value using the given formatter. <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-From%3C(Col,+Rotation)%3E-for-VirtualCell" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#29-36">source</a><a href="#impl-From%3C(Col,+Rotation)%3E-for-VirtualCell" class="anchor">§</a><h3 class="code-header">impl<Col: <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.Into.html" title="trait core::convert::Into">Into</a><<a class="struct" href="../expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="enum" href="../../../../halo2_middleware/circuit/enum.Any.html" title="enum halo2_middleware::circuit::Any">Any</a>>>> <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html" title="trait core::convert::From">From</a><(Col, <a class="struct" href="../../../../halo2_middleware/poly/struct.Rotation.html" title="struct halo2_middleware::poly::Rotation">Rotation</a>)> for <a class="struct" href="struct.VirtualCell.html" title="struct halo2_frontend::plonk::circuit::constraint_system::VirtualCell">VirtualCell</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.from-1" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#30-35">source</a><a href="#method.from-1" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html#tymethod.from" class="fn">from</a>((column, rotation): (Col, <a class="struct" href="../../../../halo2_middleware/poly/struct.Rotation.html" title="struct halo2_middleware::poly::Rotation">Rotation</a>)) -> Self</h4></section></summary><div class='docblock'>Converts to this type from the input type.</div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-From%3CVirtualCell%3E-for-VirtualCell" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/dev/metadata.rs.html#76-84">source</a><a href="#impl-From%3CVirtualCell%3E-for-VirtualCell" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html" title="trait core::convert::From">From</a><<a class="struct" href="struct.VirtualCell.html" title="struct halo2_frontend::plonk::circuit::constraint_system::VirtualCell">VirtualCell</a>> for <a class="struct" href="../../../dev/metadata/struct.VirtualCell.html" title="struct halo2_frontend::dev::metadata::VirtualCell">VirtualCell</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.from" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/dev/metadata.rs.html#77-83">source</a><a href="#method.from" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html#tymethod.from" class="fn">from</a>(c: <a class="struct" href="struct.VirtualCell.html" title="struct halo2_frontend::plonk::circuit::constraint_system::VirtualCell">VirtualCell</a>) -> Self</h4></section></summary><div class='docblock'>Converts to this type from the input type.</div></details></div></details></div><h2 id="synthetic-implementations" class="section-header">Auto Trait Implementations<a href="#synthetic-implementations" class="anchor">§</a></h2><div id="synthetic-implementations-list"><section id="impl-Freeze-for-VirtualCell" class="impl"><a href="#impl-Freeze-for-VirtualCell" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Freeze.html" title="trait core::marker::Freeze">Freeze</a> for <a class="struct" href="struct.VirtualCell.html" title="struct halo2_frontend::plonk::circuit::constraint_system::VirtualCell">VirtualCell</a></h3></section><section id="impl-RefUnwindSafe-for-VirtualCell" class="impl"><a href="#impl-RefUnwindSafe-for-VirtualCell" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/panic/unwind_safe/trait.RefUnwindSafe.html" title="trait core::panic::unwind_safe::RefUnwindSafe">RefUnwindSafe</a> for <a class="struct" href="struct.VirtualCell.html" title="struct halo2_frontend::plonk::circuit::constraint_system::VirtualCell">VirtualCell</a></h3></section><section id="impl-Send-for-VirtualCell" class="impl"><a href="#impl-Send-for-VirtualCell" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Send.html" title="trait core::marker::Send">Send</a> for <a class="struct" href="struct.VirtualCell.html" title="struct halo2_frontend::plonk::circuit::constraint_system::VirtualCell">VirtualCell</a></h3></section><section id="impl-Sync-for-VirtualCell" class="impl"><a href="#impl-Sync-for-VirtualCell" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sync.html" title="trait core::marker::Sync">Sync</a> for <a class="struct" href="struct.VirtualCell.html" title="struct halo2_frontend::plonk::circuit::constraint_system::VirtualCell">VirtualCell</a></h3></section><section id="impl-Unpin-for-VirtualCell" class="impl"><a href="#impl-Unpin-for-VirtualCell" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Unpin.html" title="trait core::marker::Unpin">Unpin</a> for <a class="struct" href="struct.VirtualCell.html" title="struct halo2_frontend::plonk::circuit::constraint_system::VirtualCell">VirtualCell</a></h3></section><section id="impl-UnwindSafe-for-VirtualCell" class="impl"><a href="#impl-UnwindSafe-for-VirtualCell" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/panic/unwind_safe/trait.UnwindSafe.html" title="trait core::panic::unwind_safe::UnwindSafe">UnwindSafe</a> for <a class="struct" href="struct.VirtualCell.html" title="struct halo2_frontend::plonk::circuit::constraint_system::VirtualCell">VirtualCell</a></h3></section></div><h2 id="blanket-implementations" class="section-header">Blanket Implementations<a href="#blanket-implementations" class="anchor">§</a></h2><div id="blanket-implementations-list"><details class="toggle implementors-toggle"><summary><section id="impl-Any-for-T" class="impl"><a class="src rightside" href="https://doc.rust-lang.org/nightly/src/core/any.rs.html#140">source</a><a href="#impl-Any-for-T" class="anchor">§</a><h3 class="code-header">impl<T> <a class="trait" href="https://doc.rust-lang.org/nightly/core/any/trait.Any.html" title="trait core::any::Any">Any</a> for T<div class="where">where
+</div></details><h2 id="fields" class="fields section-header">Fields<a href="#fields" class="anchor">§</a></h2><span id="structfield.column" class="structfield section-header"><a href="#structfield.column" class="anchor field">§</a><code>column: <a class="struct" href="../expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><Any></code></span><span id="structfield.rotation" class="structfield section-header"><a href="#structfield.rotation" class="anchor field">§</a><code>rotation: Rotation</code></span><h2 id="trait-implementations" class="section-header">Trait Implementations<a href="#trait-implementations" class="anchor">§</a></h2><div id="trait-implementations-list"><details class="toggle implementors-toggle" open><summary><section id="impl-Clone-for-VirtualCell" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#23">source</a><a href="#impl-Clone-for-VirtualCell" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a> for <a class="struct" href="struct.VirtualCell.html" title="struct halo2_frontend::plonk::circuit::constraint_system::VirtualCell">VirtualCell</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.clone" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#23">source</a><a href="#method.clone" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#tymethod.clone" class="fn">clone</a>(&self) -> <a class="struct" href="struct.VirtualCell.html" title="struct halo2_frontend::plonk::circuit::constraint_system::VirtualCell">VirtualCell</a></h4></section></summary><div class='docblock'>Returns a copy of the value. <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#tymethod.clone">Read more</a></div></details><details class="toggle method-toggle" open><summary><section id="method.clone_from" class="method trait-impl"><span class="rightside"><span class="since" title="Stable since Rust version 1.0.0">1.0.0</span> · <a class="src" href="https://doc.rust-lang.org/nightly/src/core/clone.rs.html#169">source</a></span><a href="#method.clone_from" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#method.clone_from" class="fn">clone_from</a>(&mut self, source: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&Self</a>)</h4></section></summary><div class='docblock'>Performs copy-assignment from <code>source</code>. <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#method.clone_from">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-Debug-for-VirtualCell" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#23">source</a><a href="#impl-Debug-for-VirtualCell" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a> for <a class="struct" href="struct.VirtualCell.html" title="struct halo2_frontend::plonk::circuit::constraint_system::VirtualCell">VirtualCell</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.fmt" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#23">source</a><a href="#method.fmt" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt" class="fn">fmt</a>(&self, f: &mut <a class="struct" href="https://doc.rust-lang.org/nightly/core/fmt/struct.Formatter.html" title="struct core::fmt::Formatter">Formatter</a><'_>) -> <a class="type" href="https://doc.rust-lang.org/nightly/core/fmt/type.Result.html" title="type core::fmt::Result">Result</a></h4></section></summary><div class='docblock'>Formats the value using the given formatter. <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-From%3C(Col,+Rotation)%3E-for-VirtualCell" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#29-36">source</a><a href="#impl-From%3C(Col,+Rotation)%3E-for-VirtualCell" class="anchor">§</a><h3 class="code-header">impl<Col: <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.Into.html" title="trait core::convert::Into">Into</a><<a class="struct" href="../expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><Any>>> <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html" title="trait core::convert::From">From</a><(Col, Rotation)> for <a class="struct" href="struct.VirtualCell.html" title="struct halo2_frontend::plonk::circuit::constraint_system::VirtualCell">VirtualCell</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.from-1" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#30-35">source</a><a href="#method.from-1" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html#tymethod.from" class="fn">from</a>((column, rotation): (Col, Rotation)) -> Self</h4></section></summary><div class='docblock'>Converts to this type from the input type.</div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-From%3CVirtualCell%3E-for-VirtualCell" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/dev/metadata.rs.html#76-84">source</a><a href="#impl-From%3CVirtualCell%3E-for-VirtualCell" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html" title="trait core::convert::From">From</a><<a class="struct" href="struct.VirtualCell.html" title="struct halo2_frontend::plonk::circuit::constraint_system::VirtualCell">VirtualCell</a>> for <a class="struct" href="../../../dev/metadata/struct.VirtualCell.html" title="struct halo2_frontend::dev::metadata::VirtualCell">VirtualCell</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.from" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/dev/metadata.rs.html#77-83">source</a><a href="#method.from" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html#tymethod.from" class="fn">from</a>(c: <a class="struct" href="struct.VirtualCell.html" title="struct halo2_frontend::plonk::circuit::constraint_system::VirtualCell">VirtualCell</a>) -> Self</h4></section></summary><div class='docblock'>Converts to this type from the input type.</div></details></div></details></div><h2 id="synthetic-implementations" class="section-header">Auto Trait Implementations<a href="#synthetic-implementations" class="anchor">§</a></h2><div id="synthetic-implementations-list"><section id="impl-Freeze-for-VirtualCell" class="impl"><a href="#impl-Freeze-for-VirtualCell" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Freeze.html" title="trait core::marker::Freeze">Freeze</a> for <a class="struct" href="struct.VirtualCell.html" title="struct halo2_frontend::plonk::circuit::constraint_system::VirtualCell">VirtualCell</a></h3></section><section id="impl-RefUnwindSafe-for-VirtualCell" class="impl"><a href="#impl-RefUnwindSafe-for-VirtualCell" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/panic/unwind_safe/trait.RefUnwindSafe.html" title="trait core::panic::unwind_safe::RefUnwindSafe">RefUnwindSafe</a> for <a class="struct" href="struct.VirtualCell.html" title="struct halo2_frontend::plonk::circuit::constraint_system::VirtualCell">VirtualCell</a></h3></section><section id="impl-Send-for-VirtualCell" class="impl"><a href="#impl-Send-for-VirtualCell" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Send.html" title="trait core::marker::Send">Send</a> for <a class="struct" href="struct.VirtualCell.html" title="struct halo2_frontend::plonk::circuit::constraint_system::VirtualCell">VirtualCell</a></h3></section><section id="impl-Sync-for-VirtualCell" class="impl"><a href="#impl-Sync-for-VirtualCell" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sync.html" title="trait core::marker::Sync">Sync</a> for <a class="struct" href="struct.VirtualCell.html" title="struct halo2_frontend::plonk::circuit::constraint_system::VirtualCell">VirtualCell</a></h3></section><section id="impl-Unpin-for-VirtualCell" class="impl"><a href="#impl-Unpin-for-VirtualCell" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Unpin.html" title="trait core::marker::Unpin">Unpin</a> for <a class="struct" href="struct.VirtualCell.html" title="struct halo2_frontend::plonk::circuit::constraint_system::VirtualCell">VirtualCell</a></h3></section><section id="impl-UnwindSafe-for-VirtualCell" class="impl"><a href="#impl-UnwindSafe-for-VirtualCell" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/panic/unwind_safe/trait.UnwindSafe.html" title="trait core::panic::unwind_safe::UnwindSafe">UnwindSafe</a> for <a class="struct" href="struct.VirtualCell.html" title="struct halo2_frontend::plonk::circuit::constraint_system::VirtualCell">VirtualCell</a></h3></section></div><h2 id="blanket-implementations" class="section-header">Blanket Implementations<a href="#blanket-implementations" class="anchor">§</a></h2><div id="blanket-implementations-list"><details class="toggle implementors-toggle"><summary><section id="impl-Any-for-T" class="impl"><a class="src rightside" href="https://doc.rust-lang.org/nightly/src/core/any.rs.html#140">source</a><a href="#impl-Any-for-T" class="anchor">§</a><h3 class="code-header">impl<T> <a class="trait" href="https://doc.rust-lang.org/nightly/core/any/trait.Any.html" title="trait core::any::Any">Any</a> for T<div class="where">where
T: 'static + ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,</div></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.type_id" class="method trait-impl"><a class="src rightside" href="https://doc.rust-lang.org/nightly/src/core/any.rs.html#141">source</a><a href="#method.type_id" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/any/trait.Any.html#tymethod.type_id" class="fn">type_id</a>(&self) -> <a class="struct" href="https://doc.rust-lang.org/nightly/core/any/struct.TypeId.html" title="struct core::any::TypeId">TypeId</a></h4></section></summary><div class='docblock'>Gets the <code>TypeId</code> of <code>self</code>. <a href="https://doc.rust-lang.org/nightly/core/any/trait.Any.html#tymethod.type_id">Read more</a></div></details></div></details><details class="toggle implementors-toggle"><summary><section id="impl-Borrow%3CT%3E-for-T" class="impl"><a class="src rightside" href="https://doc.rust-lang.org/nightly/src/core/borrow.rs.html#208">source</a><a href="#impl-Borrow%3CT%3E-for-T" class="anchor">§</a><h3 class="code-header">impl<T> <a class="trait" href="https://doc.rust-lang.org/nightly/core/borrow/trait.Borrow.html" title="trait core::borrow::Borrow">Borrow</a><T> for T<div class="where">where
T: ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,</div></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.borrow" class="method trait-impl"><a class="src rightside" href="https://doc.rust-lang.org/nightly/src/core/borrow.rs.html#210">source</a><a href="#method.borrow" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/borrow/trait.Borrow.html#tymethod.borrow" class="fn">borrow</a>(&self) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&T</a></h4></section></summary><div class='docblock'>Immutably borrows from an owned value. <a href="https://doc.rust-lang.org/nightly/core/borrow/trait.Borrow.html#tymethod.borrow">Read more</a></div></details></div></details><details class="toggle implementors-toggle"><summary><section id="impl-BorrowMut%3CT%3E-for-T" class="impl"><a class="src rightside" href="https://doc.rust-lang.org/nightly/src/core/borrow.rs.html#216">source</a><a href="#impl-BorrowMut%3CT%3E-for-T" class="anchor">§</a><h3 class="code-header">impl<T> <a class="trait" href="https://doc.rust-lang.org/nightly/core/borrow/trait.BorrowMut.html" title="trait core::borrow::BorrowMut">BorrowMut</a><T> for T<div class="where">where
T: ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,</div></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.borrow_mut" class="method trait-impl"><a class="src rightside" href="https://doc.rust-lang.org/nightly/src/core/borrow.rs.html#217">source</a><a href="#method.borrow_mut" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/borrow/trait.BorrowMut.html#tymethod.borrow_mut" class="fn">borrow_mut</a>(&mut self) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&mut T</a></h4></section></summary><div class='docblock'>Mutably borrows from an owned value. <a href="https://doc.rust-lang.org/nightly/core/borrow/trait.BorrowMut.html#tymethod.borrow_mut">Read more</a></div></details></div></details><details class="toggle implementors-toggle"><summary><section id="impl-Conv-for-T" class="impl"><a href="#impl-Conv-for-T" class="anchor">§</a><h3 class="code-header">impl<T> Conv for T</h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.conv" class="method trait-impl"><a href="#method.conv" class="anchor">§</a><h4 class="code-header">fn <a class="fn">conv</a><T>(self) -> T<div class="where">where
diff --git a/halo2_frontend/plonk/circuit/constraint_system/struct.VirtualCells.html b/halo2_frontend/plonk/circuit/constraint_system/struct.VirtualCells.html
index fa078dd883..2eb240e9e8 100644
--- a/halo2_frontend/plonk/circuit/constraint_system/struct.VirtualCells.html
+++ b/halo2_frontend/plonk/circuit/constraint_system/struct.VirtualCells.html
@@ -20,22 +20,22 @@
</div></details><details class="toggle method-toggle" open><summary><section id="method.query_fixed" class="method"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#1134-1141">source</a><h4 class="code-header">pub fn <a href="#method.query_fixed" class="fn">query_fixed</a>(
&mut self,
column: <a class="struct" href="../expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="struct" href="../struct.Fixed.html" title="struct halo2_frontend::plonk::circuit::Fixed">Fixed</a>>,
- at: <a class="struct" href="../../../../halo2_middleware/poly/struct.Rotation.html" title="struct halo2_middleware::poly::Rotation">Rotation</a>
+ at: Rotation
) -> <a class="enum" href="../expression/enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F></h4></section></summary><div class="docblock"><p>Query a fixed column at a relative position</p>
</div></details><details class="toggle method-toggle" open><summary><section id="method.query_advice" class="method"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#1144-1151">source</a><h4 class="code-header">pub fn <a href="#method.query_advice" class="fn">query_advice</a>(
&mut self,
column: <a class="struct" href="../expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="struct" href="../struct.Advice.html" title="struct halo2_frontend::plonk::circuit::Advice">Advice</a>>,
- at: <a class="struct" href="../../../../halo2_middleware/poly/struct.Rotation.html" title="struct halo2_middleware::poly::Rotation">Rotation</a>
+ at: Rotation
) -> <a class="enum" href="../expression/enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F></h4></section></summary><div class="docblock"><p>Query an advice column at a relative position</p>
</div></details><details class="toggle method-toggle" open><summary><section id="method.query_instance" class="method"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#1154-1161">source</a><h4 class="code-header">pub fn <a href="#method.query_instance" class="fn">query_instance</a>(
&mut self,
column: <a class="struct" href="../expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="struct" href="../struct.Instance.html" title="struct halo2_frontend::plonk::circuit::Instance">Instance</a>>,
- at: <a class="struct" href="../../../../halo2_middleware/poly/struct.Rotation.html" title="struct halo2_middleware::poly::Rotation">Rotation</a>
+ at: Rotation
) -> <a class="enum" href="../expression/enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F></h4></section></summary><div class="docblock"><p>Query an instance column at a relative position</p>
-</div></details><details class="toggle method-toggle" open><summary><section id="method.query_any" class="method"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#1164-1171">source</a><h4 class="code-header">pub fn <a href="#method.query_any" class="fn">query_any</a><C: <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.Into.html" title="trait core::convert::Into">Into</a><<a class="struct" href="../expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="enum" href="../../../../halo2_middleware/circuit/enum.Any.html" title="enum halo2_middleware::circuit::Any">Any</a>>>>(
+</div></details><details class="toggle method-toggle" open><summary><section id="method.query_any" class="method"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#1164-1171">source</a><h4 class="code-header">pub fn <a href="#method.query_any" class="fn">query_any</a><C: <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.Into.html" title="trait core::convert::Into">Into</a><<a class="struct" href="../expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><Any>>>(
&mut self,
column: C,
- at: <a class="struct" href="../../../../halo2_middleware/poly/struct.Rotation.html" title="struct halo2_middleware::poly::Rotation">Rotation</a>
+ at: Rotation
) -> <a class="enum" href="../expression/enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F></h4></section></summary><div class="docblock"><p>Query an Any column at a relative position</p>
</div></details><details class="toggle method-toggle" open><summary><section id="method.query_challenge" class="method"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#1174-1176">source</a><h4 class="code-header">pub fn <a href="#method.query_challenge" class="fn">query_challenge</a>(&mut self, challenge: <a class="struct" href="../expression/struct.Challenge.html" title="struct halo2_frontend::plonk::circuit::expression::Challenge">Challenge</a>) -> <a class="enum" href="../expression/enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F></h4></section></summary><div class="docblock"><p>Query a challenge</p>
</div></details></div></details></div><h2 id="trait-implementations" class="section-header">Trait Implementations<a href="#trait-implementations" class="anchor">§</a></h2><div id="trait-implementations-list"><details class="toggle implementors-toggle" open><summary><section id="impl-Debug-for-VirtualCells%3C'a,+F%3E" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#1111">source</a><a href="#impl-Debug-for-VirtualCells%3C'a,+F%3E" class="anchor">§</a><h3 class="code-header">impl<'a, F: <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a> + Field> <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a> for <a class="struct" href="struct.VirtualCells.html" title="struct halo2_frontend::plonk::circuit::constraint_system::VirtualCells">VirtualCells</a><'a, F></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.fmt" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#1111">source</a><a href="#method.fmt" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt" class="fn">fmt</a>(&self, f: &mut <a class="struct" href="https://doc.rust-lang.org/nightly/core/fmt/struct.Formatter.html" title="struct core::fmt::Formatter">Formatter</a><'_>) -> <a class="type" href="https://doc.rust-lang.org/nightly/core/fmt/type.Result.html" title="type core::fmt::Result">Result</a></h4></section></summary><div class='docblock'>Formats the value using the given formatter. <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt">Read more</a></div></details></div></details></div><h2 id="synthetic-implementations" class="section-header">Auto Trait Implementations<a href="#synthetic-implementations" class="anchor">§</a></h2><div id="synthetic-implementations-list"><section id="impl-Freeze-for-VirtualCells%3C'a,+F%3E" class="impl"><a href="#impl-Freeze-for-VirtualCells%3C'a,+F%3E" class="anchor">§</a><h3 class="code-header">impl<'a, F> <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Freeze.html" title="trait core::marker::Freeze">Freeze</a> for <a class="struct" href="struct.VirtualCells.html" title="struct halo2_frontend::plonk::circuit::constraint_system::VirtualCells">VirtualCells</a><'a, F></h3></section><section id="impl-RefUnwindSafe-for-VirtualCells%3C'a,+F%3E" class="impl"><a href="#impl-RefUnwindSafe-for-VirtualCells%3C'a,+F%3E" class="anchor">§</a><h3 class="code-header">impl<'a, F> <a class="trait" href="https://doc.rust-lang.org/nightly/core/panic/unwind_safe/trait.RefUnwindSafe.html" title="trait core::panic::unwind_safe::RefUnwindSafe">RefUnwindSafe</a> for <a class="struct" href="struct.VirtualCells.html" title="struct halo2_frontend::plonk::circuit::constraint_system::VirtualCells">VirtualCells</a><'a, F><div class="where">where
diff --git a/halo2_frontend/plonk/circuit/expression/enum.Expression.html b/halo2_frontend/plonk/circuit/expression/enum.Expression.html
index 3f6c887cfd..a87aa3c15a 100644
--- a/halo2_frontend/plonk/circuit/expression/enum.Expression.html
+++ b/halo2_frontend/plonk/circuit/expression/enum.Expression.html
@@ -72,7 +72,7 @@
</div></details><details class="toggle method-toggle" open><summary><section id="method.degree" class="method"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#869-882">source</a><h4 class="code-header">pub fn <a href="#method.degree" class="fn">degree</a>(&self) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a></h4></section></summary><div class="docblock"><p>Compute the degree of this polynomial</p>
</div></details><details class="toggle method-toggle" open><summary><section id="method.complexity" class="method"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#885-898">source</a><h4 class="code-header">pub fn <a href="#method.complexity" class="fn">complexity</a>(&self) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a></h4></section></summary><div class="docblock"><p>Approximate the computational complexity of this expression.</p>
</div></details><details class="toggle method-toggle" open><summary><section id="method.square" class="method"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#901-903">source</a><h4 class="code-header">pub fn <a href="#method.square" class="fn">square</a>(self) -> Self</h4></section></summary><div class="docblock"><p>Square this expression.</p>
-</div></details></div></details></div><h2 id="trait-implementations" class="section-header">Trait Implementations<a href="#trait-implementations" class="anchor">§</a></h2><div id="trait-implementations-list"><details class="toggle implementors-toggle" open><summary><section id="impl-Add-for-Expression%3CF%3E" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#1010-1018">source</a><a href="#impl-Add-for-Expression%3CF%3E" class="anchor">§</a><h3 class="code-header">impl<F: Field> <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Add.html" title="trait core::ops::arith::Add">Add</a> for <a class="enum" href="enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F></h3></section></summary><div class="impl-items"><details class="toggle" open><summary><section id="associatedtype.Output-1" class="associatedtype trait-impl"><a href="#associatedtype.Output-1" class="anchor">§</a><h4 class="code-header">type <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Add.html#associatedtype.Output" class="associatedtype">Output</a> = <a class="enum" href="enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F></h4></section></summary><div class='docblock'>The resulting type after applying the <code>+</code> operator.</div></details><details class="toggle method-toggle" open><summary><section id="method.add" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#1012-1017">source</a><a href="#method.add" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Add.html#tymethod.add" class="fn">add</a>(self, rhs: <a class="enum" href="enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F>) -> <a class="enum" href="enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F></h4></section></summary><div class='docblock'>Performs the <code>+</code> operation. <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Add.html#tymethod.add">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-Clone-for-Expression%3CF%3E" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#443">source</a><a href="#impl-Clone-for-Expression%3CF%3E" class="anchor">§</a><h3 class="code-header">impl<F: <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a>> <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a> for <a class="enum" href="enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.clone" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#443">source</a><a href="#method.clone" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#tymethod.clone" class="fn">clone</a>(&self) -> <a class="enum" href="enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F></h4></section></summary><div class='docblock'>Returns a copy of the value. <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#tymethod.clone">Read more</a></div></details><details class="toggle method-toggle" open><summary><section id="method.clone_from" class="method trait-impl"><span class="rightside"><span class="since" title="Stable since Rust version 1.0.0">1.0.0</span> · <a class="src" href="https://doc.rust-lang.org/nightly/src/core/clone.rs.html#169">source</a></span><a href="#method.clone_from" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#method.clone_from" class="fn">clone_from</a>(&mut self, source: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&Self</a>)</h4></section></summary><div class='docblock'>Performs copy-assignment from <code>source</code>. <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#method.clone_from">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-Debug-for-Expression%3CF%3E" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#951-1001">source</a><a href="#impl-Debug-for-Expression%3CF%3E" class="anchor">§</a><h3 class="code-header">impl<F: <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a>> <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a> for <a class="enum" href="enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.fmt" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#952-1000">source</a><a href="#method.fmt" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt" class="fn">fmt</a>(&self, f: &mut <a class="struct" href="https://doc.rust-lang.org/nightly/core/fmt/struct.Formatter.html" title="struct core::fmt::Formatter">Formatter</a><'_>) -> <a class="type" href="https://doc.rust-lang.org/nightly/core/fmt/type.Result.html" title="type core::fmt::Result">Result</a></h4></section></summary><div class='docblock'>Formats the value using the given formatter. <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-From%3CExpression%3CF%3E%3E-for-Constraint%3CF%3E" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#47-54">source</a><a href="#impl-From%3CExpression%3CF%3E%3E-for-Constraint%3CF%3E" class="anchor">§</a><h3 class="code-header">impl<F: Field> <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html" title="trait core::convert::From">From</a><<a class="enum" href="enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F>> for <a class="struct" href="../constraint_system/struct.Constraint.html" title="struct halo2_frontend::plonk::circuit::constraint_system::Constraint">Constraint</a><F></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.from-2" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#48-53">source</a><a href="#method.from-2" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html#tymethod.from" class="fn">from</a>(poly: <a class="enum" href="enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F>) -> Self</h4></section></summary><div class='docblock'>Converts to this type from the input type.</div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-From%3CExpression%3CF%3E%3E-for-Expression%3CF,+VarMid%3E" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#467-512">source</a><a href="#impl-From%3CExpression%3CF%3E%3E-for-Expression%3CF,+VarMid%3E" class="anchor">§</a><h3 class="code-header">impl<F> <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html" title="trait core::convert::From">From</a><<a class="enum" href="enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F>> for <a class="type" href="../../../../halo2_middleware/circuit/type.ExpressionMid.html" title="type halo2_middleware::circuit::ExpressionMid">ExpressionMid</a><F></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.from-1" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#468-511">source</a><a href="#method.from-1" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html#tymethod.from" class="fn">from</a>(val: <a class="enum" href="enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F>) -> Self</h4></section></summary><div class='docblock'>Converts to this type from the input type.</div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-From%3CExpression%3CF%3E%3E-for-Vec%3CConstraint%3CF%3E%3E" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#65-72">source</a><a href="#impl-From%3CExpression%3CF%3E%3E-for-Vec%3CConstraint%3CF%3E%3E" class="anchor">§</a><h3 class="code-header">impl<F: Field> <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html" title="trait core::convert::From">From</a><<a class="enum" href="enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F>> for <a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a><<a class="struct" href="../constraint_system/struct.Constraint.html" title="struct halo2_frontend::plonk::circuit::constraint_system::Constraint">Constraint</a><F>></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.from" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#66-71">source</a><a href="#method.from" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html#tymethod.from" class="fn">from</a>(poly: <a class="enum" href="enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F>) -> Self</h4></section></summary><div class='docblock'>Converts to this type from the input type.</div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-Mul%3CF%3E-for-Expression%3CF%3E" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#1040-1045">source</a><a href="#impl-Mul%3CF%3E-for-Expression%3CF%3E" class="anchor">§</a><h3 class="code-header">impl<F: Field> <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Mul.html" title="trait core::ops::arith::Mul">Mul</a><F> for <a class="enum" href="enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F></h3></section></summary><div class="impl-items"><details class="toggle" open><summary><section id="associatedtype.Output-4" class="associatedtype trait-impl"><a href="#associatedtype.Output-4" class="anchor">§</a><h4 class="code-header">type <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Mul.html#associatedtype.Output" class="associatedtype">Output</a> = <a class="enum" href="enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F></h4></section></summary><div class='docblock'>The resulting type after applying the <code>*</code> operator.</div></details><details class="toggle method-toggle" open><summary><section id="method.mul-1" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#1042-1044">source</a><a href="#method.mul-1" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Mul.html#tymethod.mul" class="fn">mul</a>(self, rhs: F) -> <a class="enum" href="enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F></h4></section></summary><div class='docblock'>Performs the <code>*</code> operation. <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Mul.html#tymethod.mul">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-Mul-for-Expression%3CF%3E" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#1030-1038">source</a><a href="#impl-Mul-for-Expression%3CF%3E" class="anchor">§</a><h3 class="code-header">impl<F: Field> <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Mul.html" title="trait core::ops::arith::Mul">Mul</a> for <a class="enum" href="enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F></h3></section></summary><div class="impl-items"><details class="toggle" open><summary><section id="associatedtype.Output-2" class="associatedtype trait-impl"><a href="#associatedtype.Output-2" class="anchor">§</a><h4 class="code-header">type <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Mul.html#associatedtype.Output" class="associatedtype">Output</a> = <a class="enum" href="enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F></h4></section></summary><div class='docblock'>The resulting type after applying the <code>*</code> operator.</div></details><details class="toggle method-toggle" open><summary><section id="method.mul" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#1032-1037">source</a><a href="#method.mul" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Mul.html#tymethod.mul" class="fn">mul</a>(self, rhs: <a class="enum" href="enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F>) -> <a class="enum" href="enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F></h4></section></summary><div class='docblock'>Performs the <code>*</code> operation. <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Mul.html#tymethod.mul">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-Neg-for-Expression%3CF%3E" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#1003-1008">source</a><a href="#impl-Neg-for-Expression%3CF%3E" class="anchor">§</a><h3 class="code-header">impl<F: Field> <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Neg.html" title="trait core::ops::arith::Neg">Neg</a> for <a class="enum" href="enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F></h3></section></summary><div class="impl-items"><details class="toggle" open><summary><section id="associatedtype.Output-3" class="associatedtype trait-impl"><a href="#associatedtype.Output-3" class="anchor">§</a><h4 class="code-header">type <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Neg.html#associatedtype.Output" class="associatedtype">Output</a> = <a class="enum" href="enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F></h4></section></summary><div class='docblock'>The resulting type after applying the <code>-</code> operator.</div></details><details class="toggle method-toggle" open><summary><section id="method.neg" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#1005-1007">source</a><a href="#method.neg" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Neg.html#tymethod.neg" class="fn">neg</a>(self) -> Self::<a class="associatedtype" href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Neg.html#associatedtype.Output" title="type core::ops::arith::Neg::Output">Output</a></h4></section></summary><div class='docblock'>Performs the unary <code>-</code> operation. <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Neg.html#tymethod.neg">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-PartialEq-for-Expression%3CF%3E" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#443">source</a><a href="#impl-PartialEq-for-Expression%3CF%3E" class="anchor">§</a><h3 class="code-header">impl<F: <a class="trait" href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialEq.html" title="trait core::cmp::PartialEq">PartialEq</a>> <a class="trait" href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialEq.html" title="trait core::cmp::PartialEq">PartialEq</a> for <a class="enum" href="enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.eq" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#443">source</a><a href="#method.eq" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialEq.html#tymethod.eq" class="fn">eq</a>(&self, other: &<a class="enum" href="enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F>) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></h4></section></summary><div class='docblock'>This method tests for <code>self</code> and <code>other</code> values to be equal, and is used
+</div></details></div></details></div><h2 id="trait-implementations" class="section-header">Trait Implementations<a href="#trait-implementations" class="anchor">§</a></h2><div id="trait-implementations-list"><details class="toggle implementors-toggle" open><summary><section id="impl-Add-for-Expression%3CF%3E" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#1010-1018">source</a><a href="#impl-Add-for-Expression%3CF%3E" class="anchor">§</a><h3 class="code-header">impl<F: Field> <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Add.html" title="trait core::ops::arith::Add">Add</a> for <a class="enum" href="enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F></h3></section></summary><div class="impl-items"><details class="toggle" open><summary><section id="associatedtype.Output-1" class="associatedtype trait-impl"><a href="#associatedtype.Output-1" class="anchor">§</a><h4 class="code-header">type <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Add.html#associatedtype.Output" class="associatedtype">Output</a> = <a class="enum" href="enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F></h4></section></summary><div class='docblock'>The resulting type after applying the <code>+</code> operator.</div></details><details class="toggle method-toggle" open><summary><section id="method.add" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#1012-1017">source</a><a href="#method.add" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Add.html#tymethod.add" class="fn">add</a>(self, rhs: <a class="enum" href="enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F>) -> <a class="enum" href="enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F></h4></section></summary><div class='docblock'>Performs the <code>+</code> operation. <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Add.html#tymethod.add">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-Clone-for-Expression%3CF%3E" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#443">source</a><a href="#impl-Clone-for-Expression%3CF%3E" class="anchor">§</a><h3 class="code-header">impl<F: <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a>> <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a> for <a class="enum" href="enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.clone" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#443">source</a><a href="#method.clone" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#tymethod.clone" class="fn">clone</a>(&self) -> <a class="enum" href="enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F></h4></section></summary><div class='docblock'>Returns a copy of the value. <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#tymethod.clone">Read more</a></div></details><details class="toggle method-toggle" open><summary><section id="method.clone_from" class="method trait-impl"><span class="rightside"><span class="since" title="Stable since Rust version 1.0.0">1.0.0</span> · <a class="src" href="https://doc.rust-lang.org/nightly/src/core/clone.rs.html#169">source</a></span><a href="#method.clone_from" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#method.clone_from" class="fn">clone_from</a>(&mut self, source: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&Self</a>)</h4></section></summary><div class='docblock'>Performs copy-assignment from <code>source</code>. <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#method.clone_from">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-Debug-for-Expression%3CF%3E" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#951-1001">source</a><a href="#impl-Debug-for-Expression%3CF%3E" class="anchor">§</a><h3 class="code-header">impl<F: <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a>> <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a> for <a class="enum" href="enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.fmt" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#952-1000">source</a><a href="#method.fmt" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt" class="fn">fmt</a>(&self, f: &mut <a class="struct" href="https://doc.rust-lang.org/nightly/core/fmt/struct.Formatter.html" title="struct core::fmt::Formatter">Formatter</a><'_>) -> <a class="type" href="https://doc.rust-lang.org/nightly/core/fmt/type.Result.html" title="type core::fmt::Result">Result</a></h4></section></summary><div class='docblock'>Formats the value using the given formatter. <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-From%3CExpression%3CF%3E%3E-for-Constraint%3CF%3E" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#47-54">source</a><a href="#impl-From%3CExpression%3CF%3E%3E-for-Constraint%3CF%3E" class="anchor">§</a><h3 class="code-header">impl<F: Field> <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html" title="trait core::convert::From">From</a><<a class="enum" href="enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F>> for <a class="struct" href="../constraint_system/struct.Constraint.html" title="struct halo2_frontend::plonk::circuit::constraint_system::Constraint">Constraint</a><F></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.from-2" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#48-53">source</a><a href="#method.from-2" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html#tymethod.from" class="fn">from</a>(poly: <a class="enum" href="enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F>) -> Self</h4></section></summary><div class='docblock'>Converts to this type from the input type.</div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-From%3CExpression%3CF%3E%3E-for-Expression%3CF,+VarMid%3E" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#467-512">source</a><a href="#impl-From%3CExpression%3CF%3E%3E-for-Expression%3CF,+VarMid%3E" class="anchor">§</a><h3 class="code-header">impl<F> <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html" title="trait core::convert::From">From</a><<a class="enum" href="enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F>> for ExpressionMid<F></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.from-1" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#468-511">source</a><a href="#method.from-1" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html#tymethod.from" class="fn">from</a>(val: <a class="enum" href="enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F>) -> Self</h4></section></summary><div class='docblock'>Converts to this type from the input type.</div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-From%3CExpression%3CF%3E%3E-for-Vec%3CConstraint%3CF%3E%3E" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#65-72">source</a><a href="#impl-From%3CExpression%3CF%3E%3E-for-Vec%3CConstraint%3CF%3E%3E" class="anchor">§</a><h3 class="code-header">impl<F: Field> <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html" title="trait core::convert::From">From</a><<a class="enum" href="enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F>> for <a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a><<a class="struct" href="../constraint_system/struct.Constraint.html" title="struct halo2_frontend::plonk::circuit::constraint_system::Constraint">Constraint</a><F>></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.from" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/constraint_system.rs.html#66-71">source</a><a href="#method.from" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html#tymethod.from" class="fn">from</a>(poly: <a class="enum" href="enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F>) -> Self</h4></section></summary><div class='docblock'>Converts to this type from the input type.</div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-Mul%3CF%3E-for-Expression%3CF%3E" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#1040-1045">source</a><a href="#impl-Mul%3CF%3E-for-Expression%3CF%3E" class="anchor">§</a><h3 class="code-header">impl<F: Field> <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Mul.html" title="trait core::ops::arith::Mul">Mul</a><F> for <a class="enum" href="enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F></h3></section></summary><div class="impl-items"><details class="toggle" open><summary><section id="associatedtype.Output-4" class="associatedtype trait-impl"><a href="#associatedtype.Output-4" class="anchor">§</a><h4 class="code-header">type <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Mul.html#associatedtype.Output" class="associatedtype">Output</a> = <a class="enum" href="enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F></h4></section></summary><div class='docblock'>The resulting type after applying the <code>*</code> operator.</div></details><details class="toggle method-toggle" open><summary><section id="method.mul-1" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#1042-1044">source</a><a href="#method.mul-1" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Mul.html#tymethod.mul" class="fn">mul</a>(self, rhs: F) -> <a class="enum" href="enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F></h4></section></summary><div class='docblock'>Performs the <code>*</code> operation. <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Mul.html#tymethod.mul">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-Mul-for-Expression%3CF%3E" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#1030-1038">source</a><a href="#impl-Mul-for-Expression%3CF%3E" class="anchor">§</a><h3 class="code-header">impl<F: Field> <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Mul.html" title="trait core::ops::arith::Mul">Mul</a> for <a class="enum" href="enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F></h3></section></summary><div class="impl-items"><details class="toggle" open><summary><section id="associatedtype.Output-2" class="associatedtype trait-impl"><a href="#associatedtype.Output-2" class="anchor">§</a><h4 class="code-header">type <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Mul.html#associatedtype.Output" class="associatedtype">Output</a> = <a class="enum" href="enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F></h4></section></summary><div class='docblock'>The resulting type after applying the <code>*</code> operator.</div></details><details class="toggle method-toggle" open><summary><section id="method.mul" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#1032-1037">source</a><a href="#method.mul" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Mul.html#tymethod.mul" class="fn">mul</a>(self, rhs: <a class="enum" href="enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F>) -> <a class="enum" href="enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F></h4></section></summary><div class='docblock'>Performs the <code>*</code> operation. <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Mul.html#tymethod.mul">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-Neg-for-Expression%3CF%3E" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#1003-1008">source</a><a href="#impl-Neg-for-Expression%3CF%3E" class="anchor">§</a><h3 class="code-header">impl<F: Field> <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Neg.html" title="trait core::ops::arith::Neg">Neg</a> for <a class="enum" href="enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F></h3></section></summary><div class="impl-items"><details class="toggle" open><summary><section id="associatedtype.Output-3" class="associatedtype trait-impl"><a href="#associatedtype.Output-3" class="anchor">§</a><h4 class="code-header">type <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Neg.html#associatedtype.Output" class="associatedtype">Output</a> = <a class="enum" href="enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F></h4></section></summary><div class='docblock'>The resulting type after applying the <code>-</code> operator.</div></details><details class="toggle method-toggle" open><summary><section id="method.neg" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#1005-1007">source</a><a href="#method.neg" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Neg.html#tymethod.neg" class="fn">neg</a>(self) -> Self::<a class="associatedtype" href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Neg.html#associatedtype.Output" title="type core::ops::arith::Neg::Output">Output</a></h4></section></summary><div class='docblock'>Performs the unary <code>-</code> operation. <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Neg.html#tymethod.neg">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-PartialEq-for-Expression%3CF%3E" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#443">source</a><a href="#impl-PartialEq-for-Expression%3CF%3E" class="anchor">§</a><h3 class="code-header">impl<F: <a class="trait" href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialEq.html" title="trait core::cmp::PartialEq">PartialEq</a>> <a class="trait" href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialEq.html" title="trait core::cmp::PartialEq">PartialEq</a> for <a class="enum" href="enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.eq" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#443">source</a><a href="#method.eq" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialEq.html#tymethod.eq" class="fn">eq</a>(&self, other: &<a class="enum" href="enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F>) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></h4></section></summary><div class='docblock'>This method tests for <code>self</code> and <code>other</code> values to be equal, and is used
by <code>==</code>.</div></details><details class="toggle method-toggle" open><summary><section id="method.ne" class="method trait-impl"><span class="rightside"><span class="since" title="Stable since Rust version 1.0.0">1.0.0</span> · <a class="src" href="https://doc.rust-lang.org/nightly/src/core/cmp.rs.html#263">source</a></span><a href="#method.ne" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialEq.html#method.ne" class="fn">ne</a>(&self, other: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&Rhs</a>) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></h4></section></summary><div class='docblock'>This method tests for <code>!=</code>. The default implementation is almost always
sufficient, and should not be overridden without very good reason.</div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-Product-for-Expression%3CF%3E" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#1054-1059">source</a><a href="#impl-Product-for-Expression%3CF%3E" class="anchor">§</a><h3 class="code-header">impl<F: Field> <a class="trait" href="https://doc.rust-lang.org/nightly/core/iter/traits/accum/trait.Product.html" title="trait core::iter::traits::accum::Product">Product</a> for <a class="enum" href="enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.product" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#1055-1058">source</a><a href="#method.product" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/iter/traits/accum/trait.Product.html#tymethod.product" class="fn">product</a><I: <a class="trait" href="https://doc.rust-lang.org/nightly/core/iter/traits/iterator/trait.Iterator.html" title="trait core::iter::traits::iterator::Iterator">Iterator</a><Item = Self>>(iter: I) -> Self</h4></section></summary><div class='docblock'>Method which takes an iterator and generates <code>Self</code> from the elements by
multiplying the items.</div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-Sub-for-Expression%3CF%3E" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#1020-1028">source</a><a href="#impl-Sub-for-Expression%3CF%3E" class="anchor">§</a><h3 class="code-header">impl<F: Field> <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Sub.html" title="trait core::ops::arith::Sub">Sub</a> for <a class="enum" href="enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F></h3></section></summary><div class="impl-items"><details class="toggle" open><summary><section id="associatedtype.Output" class="associatedtype trait-impl"><a href="#associatedtype.Output" class="anchor">§</a><h4 class="code-header">type <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Sub.html#associatedtype.Output" class="associatedtype">Output</a> = <a class="enum" href="enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F></h4></section></summary><div class='docblock'>The resulting type after applying the <code>-</code> operator.</div></details><details class="toggle method-toggle" open><summary><section id="method.sub" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#1022-1027">source</a><a href="#method.sub" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Sub.html#tymethod.sub" class="fn">sub</a>(self, rhs: <a class="enum" href="enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F>) -> <a class="enum" href="enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F></h4></section></summary><div class='docblock'>Performs the <code>-</code> operation. <a href="https://doc.rust-lang.org/nightly/core/ops/arith/trait.Sub.html#tymethod.sub">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-Sum-for-Expression%3CF%3E" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#1047-1052">source</a><a href="#impl-Sum-for-Expression%3CF%3E" class="anchor">§</a><h3 class="code-header">impl<F: Field> <a class="trait" href="https://doc.rust-lang.org/nightly/core/iter/traits/accum/trait.Sum.html" title="trait core::iter::traits::accum::Sum">Sum</a> for <a class="enum" href="enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.sum" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#1048-1051">source</a><a href="#method.sum" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/iter/traits/accum/trait.Sum.html#tymethod.sum" class="fn">sum</a><I: <a class="trait" href="https://doc.rust-lang.org/nightly/core/iter/traits/iterator/trait.Iterator.html" title="trait core::iter::traits::iterator::Iterator">Iterator</a><Item = Self>>(iter: I) -> Self</h4></section></summary><div class='docblock'>Method which takes an iterator and generates <code>Self</code> from the elements by
diff --git a/halo2_frontend/plonk/circuit/expression/struct.AdviceQuery.html b/halo2_frontend/plonk/circuit/expression/struct.AdviceQuery.html
index 630197cae0..6cc3627c21 100644
--- a/halo2_frontend/plonk/circuit/expression/struct.AdviceQuery.html
+++ b/halo2_frontend/plonk/circuit/expression/struct.AdviceQuery.html
@@ -17,13 +17,13 @@
</head><body class="rustdoc struct"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle" title="show sidebar"></button></nav><nav class="sidebar"><div class="sidebar-crate"><h2><a href="../../../../halo2_frontend/index.html">halo2_frontend</a><span class="version">0.3.0</span></h2></div><h2 class="location"><a href="#">AdviceQuery</a></h2><div class="sidebar-elems"><section><h3><a href="#fields">Fields</a></h3><ul class="block structfield"><li><a href="#structfield.column_index">column_index</a></li><li><a href="#structfield.index">index</a></li><li><a href="#structfield.rotation">rotation</a></li></ul><h3><a href="#implementations">Methods</a></h3><ul class="block method"><li><a href="#method.column_index">column_index</a></li><li><a href="#method.rotation">rotation</a></li></ul><h3><a href="#trait-implementations">Trait Implementations</a></h3><ul class="block trait-implementation"><li><a href="#impl-Clone-for-AdviceQuery">Clone</a></li><li><a href="#impl-Copy-for-AdviceQuery">Copy</a></li><li><a href="#impl-Debug-for-AdviceQuery">Debug</a></li><li><a href="#impl-Eq-for-AdviceQuery">Eq</a></li><li><a href="#impl-PartialEq-for-AdviceQuery">PartialEq</a></li><li><a href="#impl-StructuralPartialEq-for-AdviceQuery">StructuralPartialEq</a></li></ul><h3><a href="#synthetic-implementations">Auto Trait Implementations</a></h3><ul class="block synthetic-implementation"><li><a href="#impl-Freeze-for-AdviceQuery">Freeze</a></li><li><a href="#impl-RefUnwindSafe-for-AdviceQuery">RefUnwindSafe</a></li><li><a href="#impl-Send-for-AdviceQuery">Send</a></li><li><a href="#impl-Sync-for-AdviceQuery">Sync</a></li><li><a href="#impl-Unpin-for-AdviceQuery">Unpin</a></li><li><a href="#impl-UnwindSafe-for-AdviceQuery">UnwindSafe</a></li></ul><h3><a href="#blanket-implementations">Blanket Implementations</a></h3><ul class="block blanket-implementation"><li><a href="#impl-Any-for-T">Any</a></li><li><a href="#impl-Borrow%3CT%3E-for-T">Borrow<T></a></li><li><a href="#impl-BorrowMut%3CT%3E-for-T">BorrowMut<T></a></li><li><a href="#impl-Conv-for-T">Conv</a></li><li><a href="#impl-FmtForward-for-T">FmtForward</a></li><li><a href="#impl-From%3CT%3E-for-T">From<T></a></li><li><a href="#impl-Instrument-for-T">Instrument</a></li><li><a href="#impl-Into%3CU%3E-for-T">Into<U></a></li><li><a href="#impl-IntoEither-for-T">IntoEither</a></li><li><a href="#impl-Pipe-for-T">Pipe</a></li><li><a href="#impl-Pointable-for-T">Pointable</a></li><li><a href="#impl-SyncDeps-for-T">SyncDeps</a></li><li><a href="#impl-Tap-for-T">Tap</a></li><li><a href="#impl-ToOwned-for-T">ToOwned</a></li><li><a href="#impl-TryConv-for-T">TryConv</a></li><li><a href="#impl-TryFrom%3CU%3E-for-T">TryFrom<U></a></li><li><a href="#impl-TryInto%3CU%3E-for-T">TryInto<U></a></li><li><a href="#impl-VZip%3CV%3E-for-T">VZip<V></a></li><li><a href="#impl-WithSubscriber-for-T">WithSubscriber</a></li></ul></section><h2><a href="index.html">In halo2_frontend::plonk::circuit::expression</a></h2></div></nav><div class="sidebar-resizer"></div><main><div class="width-limiter"><rustdoc-search></rustdoc-search><section id="main-content" class="content"><div class="main-heading"><h1>Struct <a href="../../../index.html">halo2_frontend</a>::<wbr><a href="../../index.html">plonk</a>::<wbr><a href="../index.html">circuit</a>::<wbr><a href="index.html">expression</a>::<wbr><a class="struct" href="#">AdviceQuery</a><button id="copy-path" title="Copy item path to clipboard">Copy item path</button></h1><span class="out-of-band"><a class="src" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#327-334">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>−</span>]</button></span></div><pre class="rust item-decl"><code>pub struct AdviceQuery {
pub index: <a class="enum" href="https://doc.rust-lang.org/nightly/core/option/enum.Option.html" title="enum core::option::Option">Option</a><<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>>,
pub column_index: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>,
- pub rotation: <a class="struct" href="../../../../halo2_middleware/poly/struct.Rotation.html" title="struct halo2_middleware::poly::Rotation">Rotation</a>,
+ pub rotation: Rotation,
}</code></pre><details class="toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>Query of advice column at a certain relative location</p>
</div></details><h2 id="fields" class="fields section-header">Fields<a href="#fields" class="anchor">§</a></h2><span id="structfield.index" class="structfield section-header"><a href="#structfield.index" class="anchor field">§</a><code>index: <a class="enum" href="https://doc.rust-lang.org/nightly/core/option/enum.Option.html" title="enum core::option::Option">Option</a><<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>></code></span><div class="docblock"><p>Query index</p>
</div><span id="structfield.column_index" class="structfield section-header"><a href="#structfield.column_index" class="anchor field">§</a><code>column_index: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a></code></span><div class="docblock"><p>Column index</p>
-</div><span id="structfield.rotation" class="structfield section-header"><a href="#structfield.rotation" class="anchor field">§</a><code>rotation: <a class="struct" href="../../../../halo2_middleware/poly/struct.Rotation.html" title="struct halo2_middleware::poly::Rotation">Rotation</a></code></span><div class="docblock"><p>Rotation of this query</p>
+</div><span id="structfield.rotation" class="structfield section-header"><a href="#structfield.rotation" class="anchor field">§</a><code>rotation: Rotation</code></span><div class="docblock"><p>Rotation of this query</p>
</div><h2 id="implementations" class="section-header">Implementations<a href="#implementations" class="anchor">§</a></h2><div id="implementations-list"><details class="toggle implementors-toggle" open><summary><section id="impl-AdviceQuery" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#336-346">source</a><a href="#impl-AdviceQuery" class="anchor">§</a><h3 class="code-header">impl <a class="struct" href="struct.AdviceQuery.html" title="struct halo2_frontend::plonk::circuit::expression::AdviceQuery">AdviceQuery</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.column_index" class="method"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#338-340">source</a><h4 class="code-header">pub fn <a href="#method.column_index" class="fn">column_index</a>(&self) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a></h4></section></summary><div class="docblock"><p>Column index</p>
-</div></details><details class="toggle method-toggle" open><summary><section id="method.rotation" class="method"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#343-345">source</a><h4 class="code-header">pub fn <a href="#method.rotation" class="fn">rotation</a>(&self) -> <a class="struct" href="../../../../halo2_middleware/poly/struct.Rotation.html" title="struct halo2_middleware::poly::Rotation">Rotation</a></h4></section></summary><div class="docblock"><p>Rotation of this query</p>
+</div></details><details class="toggle method-toggle" open><summary><section id="method.rotation" class="method"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#343-345">source</a><h4 class="code-header">pub fn <a href="#method.rotation" class="fn">rotation</a>(&self) -> Rotation</h4></section></summary><div class="docblock"><p>Rotation of this query</p>
</div></details></div></details></div><h2 id="trait-implementations" class="section-header">Trait Implementations<a href="#trait-implementations" class="anchor">§</a></h2><div id="trait-implementations-list"><details class="toggle implementors-toggle" open><summary><section id="impl-Clone-for-AdviceQuery" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#326">source</a><a href="#impl-Clone-for-AdviceQuery" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a> for <a class="struct" href="struct.AdviceQuery.html" title="struct halo2_frontend::plonk::circuit::expression::AdviceQuery">AdviceQuery</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.clone" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#326">source</a><a href="#method.clone" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#tymethod.clone" class="fn">clone</a>(&self) -> <a class="struct" href="struct.AdviceQuery.html" title="struct halo2_frontend::plonk::circuit::expression::AdviceQuery">AdviceQuery</a></h4></section></summary><div class='docblock'>Returns a copy of the value. <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#tymethod.clone">Read more</a></div></details><details class="toggle method-toggle" open><summary><section id="method.clone_from" class="method trait-impl"><span class="rightside"><span class="since" title="Stable since Rust version 1.0.0">1.0.0</span> · <a class="src" href="https://doc.rust-lang.org/nightly/src/core/clone.rs.html#169">source</a></span><a href="#method.clone_from" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#method.clone_from" class="fn">clone_from</a>(&mut self, source: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&Self</a>)</h4></section></summary><div class='docblock'>Performs copy-assignment from <code>source</code>. <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#method.clone_from">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-Debug-for-AdviceQuery" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#326">source</a><a href="#impl-Debug-for-AdviceQuery" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a> for <a class="struct" href="struct.AdviceQuery.html" title="struct halo2_frontend::plonk::circuit::expression::AdviceQuery">AdviceQuery</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.fmt" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#326">source</a><a href="#method.fmt" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt" class="fn">fmt</a>(&self, f: &mut <a class="struct" href="https://doc.rust-lang.org/nightly/core/fmt/struct.Formatter.html" title="struct core::fmt::Formatter">Formatter</a><'_>) -> <a class="type" href="https://doc.rust-lang.org/nightly/core/fmt/type.Result.html" title="type core::fmt::Result">Result</a></h4></section></summary><div class='docblock'>Formats the value using the given formatter. <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-PartialEq-for-AdviceQuery" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#326">source</a><a href="#impl-PartialEq-for-AdviceQuery" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialEq.html" title="trait core::cmp::PartialEq">PartialEq</a> for <a class="struct" href="struct.AdviceQuery.html" title="struct halo2_frontend::plonk::circuit::expression::AdviceQuery">AdviceQuery</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.eq" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#326">source</a><a href="#method.eq" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialEq.html#tymethod.eq" class="fn">eq</a>(&self, other: &<a class="struct" href="struct.AdviceQuery.html" title="struct halo2_frontend::plonk::circuit::expression::AdviceQuery">AdviceQuery</a>) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></h4></section></summary><div class='docblock'>This method tests for <code>self</code> and <code>other</code> values to be equal, and is used
by <code>==</code>.</div></details><details class="toggle method-toggle" open><summary><section id="method.ne" class="method trait-impl"><span class="rightside"><span class="since" title="Stable since Rust version 1.0.0">1.0.0</span> · <a class="src" href="https://doc.rust-lang.org/nightly/src/core/cmp.rs.html#263">source</a></span><a href="#method.ne" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialEq.html#method.ne" class="fn">ne</a>(&self, other: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&Rhs</a>) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></h4></section></summary><div class='docblock'>This method tests for <code>!=</code>. The default implementation is almost always
sufficient, and should not be overridden without very good reason.</div></details></div></details><section id="impl-Copy-for-AdviceQuery" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#326">source</a><a href="#impl-Copy-for-AdviceQuery" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Copy.html" title="trait core::marker::Copy">Copy</a> for <a class="struct" href="struct.AdviceQuery.html" title="struct halo2_frontend::plonk::circuit::expression::AdviceQuery">AdviceQuery</a></h3></section><section id="impl-Eq-for-AdviceQuery" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#326">source</a><a href="#impl-Eq-for-AdviceQuery" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/cmp/trait.Eq.html" title="trait core::cmp::Eq">Eq</a> for <a class="struct" href="struct.AdviceQuery.html" title="struct halo2_frontend::plonk::circuit::expression::AdviceQuery">AdviceQuery</a></h3></section><section id="impl-StructuralPartialEq-for-AdviceQuery" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#326">source</a><a href="#impl-StructuralPartialEq-for-AdviceQuery" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.StructuralPartialEq.html" title="trait core::marker::StructuralPartialEq">StructuralPartialEq</a> for <a class="struct" href="struct.AdviceQuery.html" title="struct halo2_frontend::plonk::circuit::expression::AdviceQuery">AdviceQuery</a></h3></section></div><h2 id="synthetic-implementations" class="section-header">Auto Trait Implementations<a href="#synthetic-implementations" class="anchor">§</a></h2><div id="synthetic-implementations-list"><section id="impl-Freeze-for-AdviceQuery" class="impl"><a href="#impl-Freeze-for-AdviceQuery" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Freeze.html" title="trait core::marker::Freeze">Freeze</a> for <a class="struct" href="struct.AdviceQuery.html" title="struct halo2_frontend::plonk::circuit::expression::AdviceQuery">AdviceQuery</a></h3></section><section id="impl-RefUnwindSafe-for-AdviceQuery" class="impl"><a href="#impl-RefUnwindSafe-for-AdviceQuery" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/panic/unwind_safe/trait.RefUnwindSafe.html" title="trait core::panic::unwind_safe::RefUnwindSafe">RefUnwindSafe</a> for <a class="struct" href="struct.AdviceQuery.html" title="struct halo2_frontend::plonk::circuit::expression::AdviceQuery">AdviceQuery</a></h3></section><section id="impl-Send-for-AdviceQuery" class="impl"><a href="#impl-Send-for-AdviceQuery" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Send.html" title="trait core::marker::Send">Send</a> for <a class="struct" href="struct.AdviceQuery.html" title="struct halo2_frontend::plonk::circuit::expression::AdviceQuery">AdviceQuery</a></h3></section><section id="impl-Sync-for-AdviceQuery" class="impl"><a href="#impl-Sync-for-AdviceQuery" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sync.html" title="trait core::marker::Sync">Sync</a> for <a class="struct" href="struct.AdviceQuery.html" title="struct halo2_frontend::plonk::circuit::expression::AdviceQuery">AdviceQuery</a></h3></section><section id="impl-Unpin-for-AdviceQuery" class="impl"><a href="#impl-Unpin-for-AdviceQuery" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Unpin.html" title="trait core::marker::Unpin">Unpin</a> for <a class="struct" href="struct.AdviceQuery.html" title="struct halo2_frontend::plonk::circuit::expression::AdviceQuery">AdviceQuery</a></h3></section><section id="impl-UnwindSafe-for-AdviceQuery" class="impl"><a href="#impl-UnwindSafe-for-AdviceQuery" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/panic/unwind_safe/trait.UnwindSafe.html" title="trait core::panic::unwind_safe::UnwindSafe">UnwindSafe</a> for <a class="struct" href="struct.AdviceQuery.html" title="struct halo2_frontend::plonk::circuit::expression::AdviceQuery">AdviceQuery</a></h3></section></div><h2 id="blanket-implementations" class="section-header">Blanket Implementations<a href="#blanket-implementations" class="anchor">§</a></h2><div id="blanket-implementations-list"><details class="toggle implementors-toggle"><summary><section id="impl-Any-for-T" class="impl"><a class="src rightside" href="https://doc.rust-lang.org/nightly/src/core/any.rs.html#140">source</a><a href="#impl-Any-for-T" class="anchor">§</a><h3 class="code-header">impl<T> <a class="trait" href="https://doc.rust-lang.org/nightly/core/any/trait.Any.html" title="trait core::any::Any">Any</a> for T<div class="where">where
diff --git a/halo2_frontend/plonk/circuit/expression/struct.Challenge.html b/halo2_frontend/plonk/circuit/expression/struct.Challenge.html
index 965ff54553..20d593aef3 100644
--- a/halo2_frontend/plonk/circuit/expression/struct.Challenge.html
+++ b/halo2_frontend/plonk/circuit/expression/struct.Challenge.html
@@ -21,7 +21,7 @@
</div></details><h2 id="fields" class="fields section-header">Fields<a href="#fields" class="anchor">§</a></h2><span id="structfield.index" class="structfield section-header"><a href="#structfield.index" class="anchor field">§</a><code>index: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a></code></span><h2 id="implementations" class="section-header">Implementations<a href="#implementations" class="anchor">§</a></h2><div id="implementations-list"><details class="toggle implementors-toggle" open><summary><section id="impl-Challenge" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#407-422">source</a><a href="#impl-Challenge" class="anchor">§</a><h3 class="code-header">impl <a class="struct" href="struct.Challenge.html" title="struct halo2_frontend::plonk::circuit::expression::Challenge">Challenge</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.index" class="method"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#409-411">source</a><h4 class="code-header">pub fn <a href="#method.index" class="fn">index</a>(&self) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a></h4></section></summary><div class="docblock"><p>Index of this challenge.</p>
</div></details><details class="toggle method-toggle" open><summary><section id="method.phase" class="method"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#414-416">source</a><h4 class="code-header">pub fn <a href="#method.phase" class="fn">phase</a>(&self) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u8.html">u8</a></h4></section></summary><div class="docblock"><p>Phase of this challenge.</p>
</div></details><details class="toggle method-toggle" open><summary><section id="method.expr" class="method"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#419-421">source</a><h4 class="code-header">pub fn <a href="#method.expr" class="fn">expr</a><F: Field>(&self) -> <a class="enum" href="enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F></h4></section></summary><div class="docblock"><p>Return Expression</p>
-</div></details></div></details></div><h2 id="trait-implementations" class="section-header">Trait Implementations<a href="#trait-implementations" class="anchor">§</a></h2><div id="trait-implementations-list"><details class="toggle implementors-toggle" open><summary><section id="impl-Clone-for-Challenge" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#401">source</a><a href="#impl-Clone-for-Challenge" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a> for <a class="struct" href="struct.Challenge.html" title="struct halo2_frontend::plonk::circuit::expression::Challenge">Challenge</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.clone" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#401">source</a><a href="#method.clone" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#tymethod.clone" class="fn">clone</a>(&self) -> <a class="struct" href="struct.Challenge.html" title="struct halo2_frontend::plonk::circuit::expression::Challenge">Challenge</a></h4></section></summary><div class='docblock'>Returns a copy of the value. <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#tymethod.clone">Read more</a></div></details><details class="toggle method-toggle" open><summary><section id="method.clone_from" class="method trait-impl"><span class="rightside"><span class="since" title="Stable since Rust version 1.0.0">1.0.0</span> · <a class="src" href="https://doc.rust-lang.org/nightly/src/core/clone.rs.html#169">source</a></span><a href="#method.clone_from" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#method.clone_from" class="fn">clone_from</a>(&mut self, source: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&Self</a>)</h4></section></summary><div class='docblock'>Performs copy-assignment from <code>source</code>. <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#method.clone_from">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-Debug-for-Challenge" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#401">source</a><a href="#impl-Debug-for-Challenge" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a> for <a class="struct" href="struct.Challenge.html" title="struct halo2_frontend::plonk::circuit::expression::Challenge">Challenge</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.fmt" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#401">source</a><a href="#method.fmt" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt" class="fn">fmt</a>(&self, f: &mut <a class="struct" href="https://doc.rust-lang.org/nightly/core/fmt/struct.Formatter.html" title="struct core::fmt::Formatter">Formatter</a><'_>) -> <a class="type" href="https://doc.rust-lang.org/nightly/core/fmt/type.Result.html" title="type core::fmt::Result">Result</a></h4></section></summary><div class='docblock'>Formats the value using the given formatter. <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-From%3CChallenge%3E-for-ChallengeMid" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#424-431">source</a><a href="#impl-From%3CChallenge%3E-for-ChallengeMid" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html" title="trait core::convert::From">From</a><<a class="struct" href="struct.Challenge.html" title="struct halo2_frontend::plonk::circuit::expression::Challenge">Challenge</a>> for <a class="struct" href="../../../../halo2_middleware/circuit/struct.ChallengeMid.html" title="struct halo2_middleware::circuit::ChallengeMid">ChallengeMid</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.from-1" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#425-430">source</a><a href="#method.from-1" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html#tymethod.from" class="fn">from</a>(val: <a class="struct" href="struct.Challenge.html" title="struct halo2_frontend::plonk::circuit::expression::Challenge">Challenge</a>) -> Self</h4></section></summary><div class='docblock'>Converts to this type from the input type.</div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-From%3CChallengeMid%3E-for-Challenge" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#433-440">source</a><a href="#impl-From%3CChallengeMid%3E-for-Challenge" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html" title="trait core::convert::From">From</a><<a class="struct" href="../../../../halo2_middleware/circuit/struct.ChallengeMid.html" title="struct halo2_middleware::circuit::ChallengeMid">ChallengeMid</a>> for <a class="struct" href="struct.Challenge.html" title="struct halo2_frontend::plonk::circuit::expression::Challenge">Challenge</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.from" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#434-439">source</a><a href="#method.from" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html#tymethod.from" class="fn">from</a>(c: <a class="struct" href="../../../../halo2_middleware/circuit/struct.ChallengeMid.html" title="struct halo2_middleware::circuit::ChallengeMid">ChallengeMid</a>) -> Self</h4></section></summary><div class='docblock'>Converts to this type from the input type.</div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-Hash-for-Challenge" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#401">source</a><a href="#impl-Hash-for-Challenge" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html" title="trait core::hash::Hash">Hash</a> for <a class="struct" href="struct.Challenge.html" title="struct halo2_frontend::plonk::circuit::expression::Challenge">Challenge</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.hash" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#401">source</a><a href="#method.hash" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html#tymethod.hash" class="fn">hash</a><__H: <a class="trait" href="https://doc.rust-lang.org/nightly/core/hash/trait.Hasher.html" title="trait core::hash::Hasher">Hasher</a>>(&self, state: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&mut __H</a>)</h4></section></summary><div class='docblock'>Feeds this value into the given <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hasher.html" title="trait core::hash::Hasher"><code>Hasher</code></a>. <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html#tymethod.hash">Read more</a></div></details><details class="toggle method-toggle" open><summary><section id="method.hash_slice" class="method trait-impl"><span class="rightside"><span class="since" title="Stable since Rust version 1.3.0">1.3.0</span> · <a class="src" href="https://doc.rust-lang.org/nightly/src/core/hash/mod.rs.html#238-240">source</a></span><a href="#method.hash_slice" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html#method.hash_slice" class="fn">hash_slice</a><H>(data: &<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.slice.html">[Self]</a>, state: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&mut H</a>)<div class="where">where
+</div></details></div></details></div><h2 id="trait-implementations" class="section-header">Trait Implementations<a href="#trait-implementations" class="anchor">§</a></h2><div id="trait-implementations-list"><details class="toggle implementors-toggle" open><summary><section id="impl-Clone-for-Challenge" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#401">source</a><a href="#impl-Clone-for-Challenge" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a> for <a class="struct" href="struct.Challenge.html" title="struct halo2_frontend::plonk::circuit::expression::Challenge">Challenge</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.clone" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#401">source</a><a href="#method.clone" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#tymethod.clone" class="fn">clone</a>(&self) -> <a class="struct" href="struct.Challenge.html" title="struct halo2_frontend::plonk::circuit::expression::Challenge">Challenge</a></h4></section></summary><div class='docblock'>Returns a copy of the value. <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#tymethod.clone">Read more</a></div></details><details class="toggle method-toggle" open><summary><section id="method.clone_from" class="method trait-impl"><span class="rightside"><span class="since" title="Stable since Rust version 1.0.0">1.0.0</span> · <a class="src" href="https://doc.rust-lang.org/nightly/src/core/clone.rs.html#169">source</a></span><a href="#method.clone_from" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#method.clone_from" class="fn">clone_from</a>(&mut self, source: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&Self</a>)</h4></section></summary><div class='docblock'>Performs copy-assignment from <code>source</code>. <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#method.clone_from">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-Debug-for-Challenge" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#401">source</a><a href="#impl-Debug-for-Challenge" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a> for <a class="struct" href="struct.Challenge.html" title="struct halo2_frontend::plonk::circuit::expression::Challenge">Challenge</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.fmt" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#401">source</a><a href="#method.fmt" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt" class="fn">fmt</a>(&self, f: &mut <a class="struct" href="https://doc.rust-lang.org/nightly/core/fmt/struct.Formatter.html" title="struct core::fmt::Formatter">Formatter</a><'_>) -> <a class="type" href="https://doc.rust-lang.org/nightly/core/fmt/type.Result.html" title="type core::fmt::Result">Result</a></h4></section></summary><div class='docblock'>Formats the value using the given formatter. <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-From%3CChallenge%3E-for-ChallengeMid" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#424-431">source</a><a href="#impl-From%3CChallenge%3E-for-ChallengeMid" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html" title="trait core::convert::From">From</a><<a class="struct" href="struct.Challenge.html" title="struct halo2_frontend::plonk::circuit::expression::Challenge">Challenge</a>> for ChallengeMid</h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.from-1" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#425-430">source</a><a href="#method.from-1" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html#tymethod.from" class="fn">from</a>(val: <a class="struct" href="struct.Challenge.html" title="struct halo2_frontend::plonk::circuit::expression::Challenge">Challenge</a>) -> Self</h4></section></summary><div class='docblock'>Converts to this type from the input type.</div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-From%3CChallengeMid%3E-for-Challenge" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#433-440">source</a><a href="#impl-From%3CChallengeMid%3E-for-Challenge" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html" title="trait core::convert::From">From</a><ChallengeMid> for <a class="struct" href="struct.Challenge.html" title="struct halo2_frontend::plonk::circuit::expression::Challenge">Challenge</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.from" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#434-439">source</a><a href="#method.from" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html#tymethod.from" class="fn">from</a>(c: ChallengeMid) -> Self</h4></section></summary><div class='docblock'>Converts to this type from the input type.</div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-Hash-for-Challenge" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#401">source</a><a href="#impl-Hash-for-Challenge" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html" title="trait core::hash::Hash">Hash</a> for <a class="struct" href="struct.Challenge.html" title="struct halo2_frontend::plonk::circuit::expression::Challenge">Challenge</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.hash" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#401">source</a><a href="#method.hash" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html#tymethod.hash" class="fn">hash</a><__H: <a class="trait" href="https://doc.rust-lang.org/nightly/core/hash/trait.Hasher.html" title="trait core::hash::Hasher">Hasher</a>>(&self, state: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&mut __H</a>)</h4></section></summary><div class='docblock'>Feeds this value into the given <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hasher.html" title="trait core::hash::Hasher"><code>Hasher</code></a>. <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html#tymethod.hash">Read more</a></div></details><details class="toggle method-toggle" open><summary><section id="method.hash_slice" class="method trait-impl"><span class="rightside"><span class="since" title="Stable since Rust version 1.3.0">1.3.0</span> · <a class="src" href="https://doc.rust-lang.org/nightly/src/core/hash/mod.rs.html#238-240">source</a></span><a href="#method.hash_slice" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html#method.hash_slice" class="fn">hash_slice</a><H>(data: &<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.slice.html">[Self]</a>, state: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&mut H</a>)<div class="where">where
H: <a class="trait" href="https://doc.rust-lang.org/nightly/core/hash/trait.Hasher.html" title="trait core::hash::Hasher">Hasher</a>,
Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,</div></h4></section></summary><div class='docblock'>Feeds a slice of this type into the given <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hasher.html" title="trait core::hash::Hasher"><code>Hasher</code></a>. <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html#method.hash_slice">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-PartialEq-for-Challenge" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#401">source</a><a href="#impl-PartialEq-for-Challenge" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialEq.html" title="trait core::cmp::PartialEq">PartialEq</a> for <a class="struct" href="struct.Challenge.html" title="struct halo2_frontend::plonk::circuit::expression::Challenge">Challenge</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.eq" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#401">source</a><a href="#method.eq" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialEq.html#tymethod.eq" class="fn">eq</a>(&self, other: &<a class="struct" href="struct.Challenge.html" title="struct halo2_frontend::plonk::circuit::expression::Challenge">Challenge</a>) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></h4></section></summary><div class='docblock'>This method tests for <code>self</code> and <code>other</code> values to be equal, and is used
by <code>==</code>.</div></details><details class="toggle method-toggle" open><summary><section id="method.ne" class="method trait-impl"><span class="rightside"><span class="since" title="Stable since Rust version 1.0.0">1.0.0</span> · <a class="src" href="https://doc.rust-lang.org/nightly/src/core/cmp.rs.html#263">source</a></span><a href="#method.ne" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialEq.html#method.ne" class="fn">ne</a>(&self, other: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&Rhs</a>) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></h4></section></summary><div class='docblock'>This method tests for <code>!=</code>. The default implementation is almost always
diff --git a/halo2_frontend/plonk/circuit/expression/struct.Column.html b/halo2_frontend/plonk/circuit/expression/struct.Column.html
index 3e7e8bd0cd..1289472f3f 100644
--- a/halo2_frontend/plonk/circuit/expression/struct.Column.html
+++ b/halo2_frontend/plonk/circuit/expression/struct.Column.html
@@ -20,12 +20,12 @@
}</code></pre><details class="toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>A column with an index and type</p>
</div></details><h2 id="fields" class="fields section-header">Fields<a href="#fields" class="anchor">§</a></h2><span id="structfield.index" class="structfield section-header"><a href="#structfield.index" class="anchor field">§</a><code>index: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a></code></span><span id="structfield.column_type" class="structfield section-header"><a href="#structfield.column_type" class="anchor field">§</a><code>column_type: C</code></span><h2 id="implementations" class="section-header">Implementations<a href="#implementations" class="anchor">§</a></h2><div id="implementations-list"><details class="toggle implementors-toggle" open><summary><section id="impl-Column%3CC%3E" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#33-72">source</a><a href="#impl-Column%3CC%3E" class="anchor">§</a><h3 class="code-header">impl<C: <a class="trait" href="../trait.ColumnType.html" title="trait halo2_frontend::plonk::circuit::ColumnType">ColumnType</a>> <a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><C></h3></section></summary><div class="impl-items"><section id="method.new" class="method"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#34-36">source</a><h4 class="code-header">pub fn <a href="#method.new" class="fn">new</a>(index: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>, column_type: C) -> Self</h4></section><details class="toggle method-toggle" open><summary><section id="method.index" class="method"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#39-41">source</a><h4 class="code-header">pub fn <a href="#method.index" class="fn">index</a>(&self) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a></h4></section></summary><div class="docblock"><p>Index of this column.</p>
</div></details><details class="toggle method-toggle" open><summary><section id="method.column_type" class="method"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#44-46">source</a><h4 class="code-header">pub fn <a href="#method.column_type" class="fn">column_type</a>(&self) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&C</a></h4></section></summary><div class="docblock"><p>Type of this column.</p>
-</div></details><details class="toggle method-toggle" open><summary><section id="method.query_cell" class="method"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#49-51">source</a><h4 class="code-header">pub fn <a href="#method.query_cell" class="fn">query_cell</a><F: Field>(&self, at: <a class="struct" href="../../../../halo2_middleware/poly/struct.Rotation.html" title="struct halo2_middleware::poly::Rotation">Rotation</a>) -> <a class="enum" href="enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F></h4></section></summary><div class="docblock"><p>Return expression from column at a relative position</p>
+</div></details><details class="toggle method-toggle" open><summary><section id="method.query_cell" class="method"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#49-51">source</a><h4 class="code-header">pub fn <a href="#method.query_cell" class="fn">query_cell</a><F: Field>(&self, at: Rotation) -> <a class="enum" href="enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F></h4></section></summary><div class="docblock"><p>Return expression from column at a relative position</p>
</div></details><details class="toggle method-toggle" open><summary><section id="method.cur" class="method"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#54-56">source</a><h4 class="code-header">pub fn <a href="#method.cur" class="fn">cur</a><F: Field>(&self) -> <a class="enum" href="enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F></h4></section></summary><div class="docblock"><p>Return expression from column at the current row</p>
</div></details><details class="toggle method-toggle" open><summary><section id="method.next" class="method"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#59-61">source</a><h4 class="code-header">pub fn <a href="#method.next" class="fn">next</a><F: Field>(&self) -> <a class="enum" href="enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F></h4></section></summary><div class="docblock"><p>Return expression from column at the next row</p>
</div></details><details class="toggle method-toggle" open><summary><section id="method.prev" class="method"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#64-66">source</a><h4 class="code-header">pub fn <a href="#method.prev" class="fn">prev</a><F: Field>(&self) -> <a class="enum" href="enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F></h4></section></summary><div class="docblock"><p>Return expression from column at the previous row</p>
</div></details><details class="toggle method-toggle" open><summary><section id="method.rot" class="method"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#69-71">source</a><h4 class="code-header">pub fn <a href="#method.rot" class="fn">rot</a><F: Field>(&self, rotation: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.i32.html">i32</a>) -> <a class="enum" href="enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F></h4></section></summary><div class="docblock"><p>Return expression from column at the specified rotation</p>
-</div></details></div></details></div><h2 id="trait-implementations" class="section-header">Trait Implementations<a href="#trait-implementations" class="anchor">§</a></h2><div id="trait-implementations-list"><details class="toggle implementors-toggle" open><summary><section id="impl-Clone-for-Column%3CC%3E" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#18">source</a><a href="#impl-Clone-for-Column%3CC%3E" class="anchor">§</a><h3 class="code-header">impl<C: <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a> + <a class="trait" href="../trait.ColumnType.html" title="trait halo2_frontend::plonk::circuit::ColumnType">ColumnType</a>> <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a> for <a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><C></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.clone" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#18">source</a><a href="#method.clone" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#tymethod.clone" class="fn">clone</a>(&self) -> <a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><C></h4></section></summary><div class='docblock'>Returns a copy of the value. <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#tymethod.clone">Read more</a></div></details><details class="toggle method-toggle" open><summary><section id="method.clone_from" class="method trait-impl"><span class="rightside"><span class="since" title="Stable since Rust version 1.0.0">1.0.0</span> · <a class="src" href="https://doc.rust-lang.org/nightly/src/core/clone.rs.html#169">source</a></span><a href="#method.clone_from" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#method.clone_from" class="fn">clone_from</a>(&mut self, source: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&Self</a>)</h4></section></summary><div class='docblock'>Performs copy-assignment from <code>source</code>. <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#method.clone_from">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-Debug-for-Column%3CC%3E" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#18">source</a><a href="#impl-Debug-for-Column%3CC%3E" class="anchor">§</a><h3 class="code-header">impl<C: <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a> + <a class="trait" href="../trait.ColumnType.html" title="trait halo2_frontend::plonk::circuit::ColumnType">ColumnType</a>> <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a> for <a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><C></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.fmt" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#18">source</a><a href="#method.fmt" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt" class="fn">fmt</a>(&self, f: &mut <a class="struct" href="https://doc.rust-lang.org/nightly/core/fmt/struct.Formatter.html" title="struct core::fmt::Formatter">Formatter</a><'_>) -> <a class="type" href="https://doc.rust-lang.org/nightly/core/fmt/type.Result.html" title="type core::fmt::Result">Result</a></h4></section></summary><div class='docblock'>Formats the value using the given formatter. <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-From%3CColumn%3CAdvice%3E%3E-for-Column%3CAny%3E" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#101-108">source</a><a href="#impl-From%3CColumn%3CAdvice%3E%3E-for-Column%3CAny%3E" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html" title="trait core::convert::From">From</a><<a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="struct" href="../struct.Advice.html" title="struct halo2_frontend::plonk::circuit::Advice">Advice</a>>> for <a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="enum" href="../../../../halo2_middleware/circuit/enum.Any.html" title="enum halo2_middleware::circuit::Any">Any</a>></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.from-4" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#102-107">source</a><a href="#method.from-4" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html#tymethod.from" class="fn">from</a>(advice: <a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="struct" href="../struct.Advice.html" title="struct halo2_frontend::plonk::circuit::Advice">Advice</a>>) -> <a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="enum" href="../../../../halo2_middleware/circuit/enum.Any.html" title="enum halo2_middleware::circuit::Any">Any</a>></h4></section></summary><div class='docblock'>Converts to this type from the input type.</div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-From%3CColumn%3CAny%3E%3E-for-ColumnMid" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#24-31">source</a><a href="#impl-From%3CColumn%3CAny%3E%3E-for-ColumnMid" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html" title="trait core::convert::From">From</a><<a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="enum" href="../../../../halo2_middleware/circuit/enum.Any.html" title="enum halo2_middleware::circuit::Any">Any</a>>> for <a class="struct" href="../../../dev/metadata/struct.Column.html" title="struct halo2_frontend::dev::metadata::Column">ColumnMid</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.from-5" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#25-30">source</a><a href="#method.from-5" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html#tymethod.from" class="fn">from</a>(val: <a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="enum" href="../../../../halo2_middleware/circuit/enum.Any.html" title="enum halo2_middleware::circuit::Any">Any</a>>) -> Self</h4></section></summary><div class='docblock'>Converts to this type from the input type.</div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-From%3CColumn%3CAny%3E%3E-for-RegionColumn" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/circuit/layouter.rs.html#158-162">source</a><a href="#impl-From%3CColumn%3CAny%3E%3E-for-RegionColumn" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html" title="trait core::convert::From">From</a><<a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="enum" href="../../../../halo2_middleware/circuit/enum.Any.html" title="enum halo2_middleware::circuit::Any">Any</a>>> for <a class="enum" href="../../../circuit/layouter/enum.RegionColumn.html" title="enum halo2_frontend::circuit::layouter::RegionColumn">RegionColumn</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.from" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/circuit/layouter.rs.html#159-161">source</a><a href="#method.from" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html#tymethod.from" class="fn">from</a>(column: <a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="enum" href="../../../../halo2_middleware/circuit/enum.Any.html" title="enum halo2_middleware::circuit::Any">Any</a>>) -> <a class="enum" href="../../../circuit/layouter/enum.RegionColumn.html" title="enum halo2_frontend::circuit::layouter::RegionColumn">RegionColumn</a></h4></section></summary><div class='docblock'>Converts to this type from the input type.</div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-From%3CColumn%3CFixed%3E%3E-for-Column%3CAny%3E" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#110-117">source</a><a href="#impl-From%3CColumn%3CFixed%3E%3E-for-Column%3CAny%3E" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html" title="trait core::convert::From">From</a><<a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="struct" href="../struct.Fixed.html" title="struct halo2_frontend::plonk::circuit::Fixed">Fixed</a>>> for <a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="enum" href="../../../../halo2_middleware/circuit/enum.Any.html" title="enum halo2_middleware::circuit::Any">Any</a>></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.from-1" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#111-116">source</a><a href="#method.from-1" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html#tymethod.from" class="fn">from</a>(advice: <a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="struct" href="../struct.Fixed.html" title="struct halo2_frontend::plonk::circuit::Fixed">Fixed</a>>) -> <a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="enum" href="../../../../halo2_middleware/circuit/enum.Any.html" title="enum halo2_middleware::circuit::Any">Any</a>></h4></section></summary><div class='docblock'>Converts to this type from the input type.</div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-From%3CColumn%3CInstance%3E%3E-for-Column%3CAny%3E" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#119-126">source</a><a href="#impl-From%3CColumn%3CInstance%3E%3E-for-Column%3CAny%3E" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html" title="trait core::convert::From">From</a><<a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="struct" href="../struct.Instance.html" title="struct halo2_frontend::plonk::circuit::Instance">Instance</a>>> for <a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="enum" href="../../../../halo2_middleware/circuit/enum.Any.html" title="enum halo2_middleware::circuit::Any">Any</a>></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.from-3" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#120-125">source</a><a href="#method.from-3" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html#tymethod.from" class="fn">from</a>(advice: <a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="struct" href="../struct.Instance.html" title="struct halo2_frontend::plonk::circuit::Instance">Instance</a>>) -> <a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="enum" href="../../../../halo2_middleware/circuit/enum.Any.html" title="enum halo2_middleware::circuit::Any">Any</a>></h4></section></summary><div class='docblock'>Converts to this type from the input type.</div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-From%3CColumnMid%3E-for-Column%3CAny%3E" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#92-99">source</a><a href="#impl-From%3CColumnMid%3E-for-Column%3CAny%3E" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html" title="trait core::convert::From">From</a><<a class="struct" href="../../../dev/metadata/struct.Column.html" title="struct halo2_frontend::dev::metadata::Column">ColumnMid</a>> for <a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="enum" href="../../../../halo2_middleware/circuit/enum.Any.html" title="enum halo2_middleware::circuit::Any">Any</a>></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.from-2" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#93-98">source</a><a href="#method.from-2" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html#tymethod.from" class="fn">from</a>(column: <a class="struct" href="../../../dev/metadata/struct.Column.html" title="struct halo2_frontend::dev::metadata::Column">ColumnMid</a>) -> <a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="enum" href="../../../../halo2_middleware/circuit/enum.Any.html" title="enum halo2_middleware::circuit::Any">Any</a>></h4></section></summary><div class='docblock'>Converts to this type from the input type.</div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-Hash-for-Column%3CC%3E" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#18">source</a><a href="#impl-Hash-for-Column%3CC%3E" class="anchor">§</a><h3 class="code-header">impl<C: <a class="trait" href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html" title="trait core::hash::Hash">Hash</a> + <a class="trait" href="../trait.ColumnType.html" title="trait halo2_frontend::plonk::circuit::ColumnType">ColumnType</a>> <a class="trait" href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html" title="trait core::hash::Hash">Hash</a> for <a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><C></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.hash" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#18">source</a><a href="#method.hash" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html#tymethod.hash" class="fn">hash</a><__H: <a class="trait" href="https://doc.rust-lang.org/nightly/core/hash/trait.Hasher.html" title="trait core::hash::Hasher">Hasher</a>>(&self, state: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&mut __H</a>)</h4></section></summary><div class='docblock'>Feeds this value into the given <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hasher.html" title="trait core::hash::Hasher"><code>Hasher</code></a>. <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html#tymethod.hash">Read more</a></div></details><details class="toggle method-toggle" open><summary><section id="method.hash_slice" class="method trait-impl"><span class="rightside"><span class="since" title="Stable since Rust version 1.3.0">1.3.0</span> · <a class="src" href="https://doc.rust-lang.org/nightly/src/core/hash/mod.rs.html#238-240">source</a></span><a href="#method.hash_slice" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html#method.hash_slice" class="fn">hash_slice</a><H>(data: &<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.slice.html">[Self]</a>, state: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&mut H</a>)<div class="where">where
+</div></details></div></details></div><h2 id="trait-implementations" class="section-header">Trait Implementations<a href="#trait-implementations" class="anchor">§</a></h2><div id="trait-implementations-list"><details class="toggle implementors-toggle" open><summary><section id="impl-Clone-for-Column%3CC%3E" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#18">source</a><a href="#impl-Clone-for-Column%3CC%3E" class="anchor">§</a><h3 class="code-header">impl<C: <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a> + <a class="trait" href="../trait.ColumnType.html" title="trait halo2_frontend::plonk::circuit::ColumnType">ColumnType</a>> <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a> for <a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><C></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.clone" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#18">source</a><a href="#method.clone" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#tymethod.clone" class="fn">clone</a>(&self) -> <a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><C></h4></section></summary><div class='docblock'>Returns a copy of the value. <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#tymethod.clone">Read more</a></div></details><details class="toggle method-toggle" open><summary><section id="method.clone_from" class="method trait-impl"><span class="rightside"><span class="since" title="Stable since Rust version 1.0.0">1.0.0</span> · <a class="src" href="https://doc.rust-lang.org/nightly/src/core/clone.rs.html#169">source</a></span><a href="#method.clone_from" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#method.clone_from" class="fn">clone_from</a>(&mut self, source: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&Self</a>)</h4></section></summary><div class='docblock'>Performs copy-assignment from <code>source</code>. <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#method.clone_from">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-Debug-for-Column%3CC%3E" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#18">source</a><a href="#impl-Debug-for-Column%3CC%3E" class="anchor">§</a><h3 class="code-header">impl<C: <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a> + <a class="trait" href="../trait.ColumnType.html" title="trait halo2_frontend::plonk::circuit::ColumnType">ColumnType</a>> <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a> for <a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><C></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.fmt" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#18">source</a><a href="#method.fmt" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt" class="fn">fmt</a>(&self, f: &mut <a class="struct" href="https://doc.rust-lang.org/nightly/core/fmt/struct.Formatter.html" title="struct core::fmt::Formatter">Formatter</a><'_>) -> <a class="type" href="https://doc.rust-lang.org/nightly/core/fmt/type.Result.html" title="type core::fmt::Result">Result</a></h4></section></summary><div class='docblock'>Formats the value using the given formatter. <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-From%3CColumn%3CAdvice%3E%3E-for-Column%3CAny%3E" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#101-108">source</a><a href="#impl-From%3CColumn%3CAdvice%3E%3E-for-Column%3CAny%3E" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html" title="trait core::convert::From">From</a><<a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="struct" href="../struct.Advice.html" title="struct halo2_frontend::plonk::circuit::Advice">Advice</a>>> for <a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><Any></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.from-4" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#102-107">source</a><a href="#method.from-4" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html#tymethod.from" class="fn">from</a>(advice: <a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="struct" href="../struct.Advice.html" title="struct halo2_frontend::plonk::circuit::Advice">Advice</a>>) -> <a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><Any></h4></section></summary><div class='docblock'>Converts to this type from the input type.</div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-From%3CColumn%3CAny%3E%3E-for-ColumnMid" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#24-31">source</a><a href="#impl-From%3CColumn%3CAny%3E%3E-for-ColumnMid" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html" title="trait core::convert::From">From</a><<a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><Any>> for <a class="struct" href="../../../dev/metadata/struct.Column.html" title="struct halo2_frontend::dev::metadata::Column">ColumnMid</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.from-5" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#25-30">source</a><a href="#method.from-5" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html#tymethod.from" class="fn">from</a>(val: <a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><Any>) -> Self</h4></section></summary><div class='docblock'>Converts to this type from the input type.</div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-From%3CColumn%3CAny%3E%3E-for-RegionColumn" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/circuit/layouter.rs.html#158-162">source</a><a href="#impl-From%3CColumn%3CAny%3E%3E-for-RegionColumn" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html" title="trait core::convert::From">From</a><<a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><Any>> for <a class="enum" href="../../../circuit/layouter/enum.RegionColumn.html" title="enum halo2_frontend::circuit::layouter::RegionColumn">RegionColumn</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.from" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/circuit/layouter.rs.html#159-161">source</a><a href="#method.from" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html#tymethod.from" class="fn">from</a>(column: <a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><Any>) -> <a class="enum" href="../../../circuit/layouter/enum.RegionColumn.html" title="enum halo2_frontend::circuit::layouter::RegionColumn">RegionColumn</a></h4></section></summary><div class='docblock'>Converts to this type from the input type.</div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-From%3CColumn%3CFixed%3E%3E-for-Column%3CAny%3E" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#110-117">source</a><a href="#impl-From%3CColumn%3CFixed%3E%3E-for-Column%3CAny%3E" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html" title="trait core::convert::From">From</a><<a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="struct" href="../struct.Fixed.html" title="struct halo2_frontend::plonk::circuit::Fixed">Fixed</a>>> for <a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><Any></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.from-1" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#111-116">source</a><a href="#method.from-1" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html#tymethod.from" class="fn">from</a>(advice: <a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="struct" href="../struct.Fixed.html" title="struct halo2_frontend::plonk::circuit::Fixed">Fixed</a>>) -> <a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><Any></h4></section></summary><div class='docblock'>Converts to this type from the input type.</div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-From%3CColumn%3CInstance%3E%3E-for-Column%3CAny%3E" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#119-126">source</a><a href="#impl-From%3CColumn%3CInstance%3E%3E-for-Column%3CAny%3E" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html" title="trait core::convert::From">From</a><<a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="struct" href="../struct.Instance.html" title="struct halo2_frontend::plonk::circuit::Instance">Instance</a>>> for <a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><Any></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.from-3" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#120-125">source</a><a href="#method.from-3" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html#tymethod.from" class="fn">from</a>(advice: <a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="struct" href="../struct.Instance.html" title="struct halo2_frontend::plonk::circuit::Instance">Instance</a>>) -> <a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><Any></h4></section></summary><div class='docblock'>Converts to this type from the input type.</div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-From%3CColumnMid%3E-for-Column%3CAny%3E" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#92-99">source</a><a href="#impl-From%3CColumnMid%3E-for-Column%3CAny%3E" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html" title="trait core::convert::From">From</a><<a class="struct" href="../../../dev/metadata/struct.Column.html" title="struct halo2_frontend::dev::metadata::Column">ColumnMid</a>> for <a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><Any></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.from-2" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#93-98">source</a><a href="#method.from-2" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html#tymethod.from" class="fn">from</a>(column: <a class="struct" href="../../../dev/metadata/struct.Column.html" title="struct halo2_frontend::dev::metadata::Column">ColumnMid</a>) -> <a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><Any></h4></section></summary><div class='docblock'>Converts to this type from the input type.</div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-Hash-for-Column%3CC%3E" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#18">source</a><a href="#impl-Hash-for-Column%3CC%3E" class="anchor">§</a><h3 class="code-header">impl<C: <a class="trait" href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html" title="trait core::hash::Hash">Hash</a> + <a class="trait" href="../trait.ColumnType.html" title="trait halo2_frontend::plonk::circuit::ColumnType">ColumnType</a>> <a class="trait" href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html" title="trait core::hash::Hash">Hash</a> for <a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><C></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.hash" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#18">source</a><a href="#method.hash" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html#tymethod.hash" class="fn">hash</a><__H: <a class="trait" href="https://doc.rust-lang.org/nightly/core/hash/trait.Hasher.html" title="trait core::hash::Hasher">Hasher</a>>(&self, state: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&mut __H</a>)</h4></section></summary><div class='docblock'>Feeds this value into the given <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hasher.html" title="trait core::hash::Hasher"><code>Hasher</code></a>. <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html#tymethod.hash">Read more</a></div></details><details class="toggle method-toggle" open><summary><section id="method.hash_slice" class="method trait-impl"><span class="rightside"><span class="since" title="Stable since Rust version 1.3.0">1.3.0</span> · <a class="src" href="https://doc.rust-lang.org/nightly/src/core/hash/mod.rs.html#238-240">source</a></span><a href="#method.hash_slice" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html#method.hash_slice" class="fn">hash_slice</a><H>(data: &<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.slice.html">[Self]</a>, state: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&mut H</a>)<div class="where">where
H: <a class="trait" href="https://doc.rust-lang.org/nightly/core/hash/trait.Hasher.html" title="trait core::hash::Hasher">Hasher</a>,
Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,</div></h4></section></summary><div class='docblock'>Feeds a slice of this type into the given <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hasher.html" title="trait core::hash::Hasher"><code>Hasher</code></a>. <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html#method.hash_slice">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-Ord-for-Column%3CC%3E" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#74-84">source</a><a href="#impl-Ord-for-Column%3CC%3E" class="anchor">§</a><h3 class="code-header">impl<C: <a class="trait" href="../trait.ColumnType.html" title="trait halo2_frontend::plonk::circuit::ColumnType">ColumnType</a>> <a class="trait" href="https://doc.rust-lang.org/nightly/core/cmp/trait.Ord.html" title="trait core::cmp::Ord">Ord</a> for <a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><C></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.cmp" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#75-83">source</a><a href="#method.cmp" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.Ord.html#tymethod.cmp" class="fn">cmp</a>(&self, other: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&Self</a>) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/cmp/enum.Ordering.html" title="enum core::cmp::Ordering">Ordering</a></h4></section></summary><div class='docblock'>This method returns an <a href="https://doc.rust-lang.org/nightly/core/cmp/enum.Ordering.html" title="enum core::cmp::Ordering"><code>Ordering</code></a> between <code>self</code> and <code>other</code>. <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.Ord.html#tymethod.cmp">Read more</a></div></details><details class="toggle method-toggle" open><summary><section id="method.max" class="method trait-impl"><span class="rightside"><span class="since" title="Stable since Rust version 1.21.0">1.21.0</span> · <a class="src" href="https://doc.rust-lang.org/nightly/src/core/cmp.rs.html#856-858">source</a></span><a href="#method.max" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.Ord.html#method.max" class="fn">max</a>(self, other: Self) -> Self<div class="where">where
Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,</div></h4></section></summary><div class='docblock'>Compares and returns the maximum of two values. <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.Ord.html#method.max">Read more</a></div></details><details class="toggle method-toggle" open><summary><section id="method.min" class="method trait-impl"><span class="rightside"><span class="since" title="Stable since Rust version 1.21.0">1.21.0</span> · <a class="src" href="https://doc.rust-lang.org/nightly/src/core/cmp.rs.html#877-879">source</a></span><a href="#method.min" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.Ord.html#method.min" class="fn">min</a>(self, other: Self) -> Self<div class="where">where
@@ -34,7 +34,7 @@
by <code>==</code>.</div></details><details class="toggle method-toggle" open><summary><section id="method.ne" class="method trait-impl"><span class="rightside"><span class="since" title="Stable since Rust version 1.0.0">1.0.0</span> · <a class="src" href="https://doc.rust-lang.org/nightly/src/core/cmp.rs.html#263">source</a></span><a href="#method.ne" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialEq.html#method.ne" class="fn">ne</a>(&self, other: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&Rhs</a>) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></h4></section></summary><div class='docblock'>This method tests for <code>!=</code>. The default implementation is almost always
sufficient, and should not be overridden without very good reason.</div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-PartialOrd-for-Column%3CC%3E" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#86-90">source</a><a href="#impl-PartialOrd-for-Column%3CC%3E" class="anchor">§</a><h3 class="code-header">impl<C: <a class="trait" href="../trait.ColumnType.html" title="trait halo2_frontend::plonk::circuit::ColumnType">ColumnType</a>> <a class="trait" href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialOrd.html" title="trait core::cmp::PartialOrd">PartialOrd</a> for <a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><C></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.partial_cmp" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#87-89">source</a><a href="#method.partial_cmp" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialOrd.html#tymethod.partial_cmp" class="fn">partial_cmp</a>(&self, other: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&Self</a>) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/option/enum.Option.html" title="enum core::option::Option">Option</a><<a class="enum" href="https://doc.rust-lang.org/nightly/core/cmp/enum.Ordering.html" title="enum core::cmp::Ordering">Ordering</a>></h4></section></summary><div class='docblock'>This method returns an ordering between <code>self</code> and <code>other</code> values if one exists. <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialOrd.html#tymethod.partial_cmp">Read more</a></div></details><details class="toggle method-toggle" open><summary><section id="method.lt" class="method trait-impl"><span class="rightside"><span class="since" title="Stable since Rust version 1.0.0">1.0.0</span> · <a class="src" href="https://doc.rust-lang.org/nightly/src/core/cmp.rs.html#1179">source</a></span><a href="#method.lt" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialOrd.html#method.lt" class="fn">lt</a>(&self, other: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&Rhs</a>) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></h4></section></summary><div class='docblock'>This method tests less than (for <code>self</code> and <code>other</code>) and is used by the <code><</code> operator. <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialOrd.html#method.lt">Read more</a></div></details><details class="toggle method-toggle" open><summary><section id="method.le" class="method trait-impl"><span class="rightside"><span class="since" title="Stable since Rust version 1.0.0">1.0.0</span> · <a class="src" href="https://doc.rust-lang.org/nightly/src/core/cmp.rs.html#1197">source</a></span><a href="#method.le" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialOrd.html#method.le" class="fn">le</a>(&self, other: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&Rhs</a>) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></h4></section></summary><div class='docblock'>This method tests less than or equal to (for <code>self</code> and <code>other</code>) and is used by the <code><=</code>
operator. <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialOrd.html#method.le">Read more</a></div></details><details class="toggle method-toggle" open><summary><section id="method.gt" class="method trait-impl"><span class="rightside"><span class="since" title="Stable since Rust version 1.0.0">1.0.0</span> · <a class="src" href="https://doc.rust-lang.org/nightly/src/core/cmp.rs.html#1214">source</a></span><a href="#method.gt" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialOrd.html#method.gt" class="fn">gt</a>(&self, other: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&Rhs</a>) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></h4></section></summary><div class='docblock'>This method tests greater than (for <code>self</code> and <code>other</code>) and is used by the <code>></code> operator. <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialOrd.html#method.gt">Read more</a></div></details><details class="toggle method-toggle" open><summary><section id="method.ge" class="method trait-impl"><span class="rightside"><span class="since" title="Stable since Rust version 1.0.0">1.0.0</span> · <a class="src" href="https://doc.rust-lang.org/nightly/src/core/cmp.rs.html#1232">source</a></span><a href="#method.ge" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialOrd.html#method.ge" class="fn">ge</a>(&self, other: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&Rhs</a>) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></h4></section></summary><div class='docblock'>This method tests greater than or equal to (for <code>self</code> and <code>other</code>) and is used by the <code>>=</code>
-operator. <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialOrd.html#method.ge">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-TryFrom%3CColumn%3CAny%3E%3E-for-Column%3CAdvice%3E" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#128-140">source</a><a href="#impl-TryFrom%3CColumn%3CAny%3E%3E-for-Column%3CAdvice%3E" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html" title="trait core::convert::TryFrom">TryFrom</a><<a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="enum" href="../../../../halo2_middleware/circuit/enum.Any.html" title="enum halo2_middleware::circuit::Any">Any</a>>> for <a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="struct" href="../struct.Advice.html" title="struct halo2_frontend::plonk::circuit::Advice">Advice</a>></h3></section></summary><div class="impl-items"><details class="toggle" open><summary><section id="associatedtype.Error" class="associatedtype trait-impl"><a href="#associatedtype.Error" class="anchor">§</a><h4 class="code-header">type <a href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html#associatedtype.Error" class="associatedtype">Error</a> = &'static <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.str.html">str</a></h4></section></summary><div class='docblock'>The type returned in the event of a conversion error.</div></details><details class="toggle method-toggle" open><summary><section id="method.try_from" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#131-139">source</a><a href="#method.try_from" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html#tymethod.try_from" class="fn">try_from</a>(any: <a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="enum" href="../../../../halo2_middleware/circuit/enum.Any.html" title="enum halo2_middleware::circuit::Any">Any</a>>) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a><Self, Self::<a class="associatedtype" href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html#associatedtype.Error" title="type core::convert::TryFrom::Error">Error</a>></h4></section></summary><div class='docblock'>Performs the conversion.</div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-TryFrom%3CColumn%3CAny%3E%3E-for-Column%3CFixed%3E" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#142-154">source</a><a href="#impl-TryFrom%3CColumn%3CAny%3E%3E-for-Column%3CFixed%3E" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html" title="trait core::convert::TryFrom">TryFrom</a><<a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="enum" href="../../../../halo2_middleware/circuit/enum.Any.html" title="enum halo2_middleware::circuit::Any">Any</a>>> for <a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="struct" href="../struct.Fixed.html" title="struct halo2_frontend::plonk::circuit::Fixed">Fixed</a>></h3></section></summary><div class="impl-items"><details class="toggle" open><summary><section id="associatedtype.Error-1" class="associatedtype trait-impl"><a href="#associatedtype.Error-1" class="anchor">§</a><h4 class="code-header">type <a href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html#associatedtype.Error" class="associatedtype">Error</a> = &'static <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.str.html">str</a></h4></section></summary><div class='docblock'>The type returned in the event of a conversion error.</div></details><details class="toggle method-toggle" open><summary><section id="method.try_from-1" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#145-153">source</a><a href="#method.try_from-1" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html#tymethod.try_from" class="fn">try_from</a>(any: <a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="enum" href="../../../../halo2_middleware/circuit/enum.Any.html" title="enum halo2_middleware::circuit::Any">Any</a>>) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a><Self, Self::<a class="associatedtype" href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html#associatedtype.Error" title="type core::convert::TryFrom::Error">Error</a>></h4></section></summary><div class='docblock'>Performs the conversion.</div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-TryFrom%3CColumn%3CAny%3E%3E-for-Column%3CInstance%3E" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#156-168">source</a><a href="#impl-TryFrom%3CColumn%3CAny%3E%3E-for-Column%3CInstance%3E" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html" title="trait core::convert::TryFrom">TryFrom</a><<a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="enum" href="../../../../halo2_middleware/circuit/enum.Any.html" title="enum halo2_middleware::circuit::Any">Any</a>>> for <a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="struct" href="../struct.Instance.html" title="struct halo2_frontend::plonk::circuit::Instance">Instance</a>></h3></section></summary><div class="impl-items"><details class="toggle" open><summary><section id="associatedtype.Error-2" class="associatedtype trait-impl"><a href="#associatedtype.Error-2" class="anchor">§</a><h4 class="code-header">type <a href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html#associatedtype.Error" class="associatedtype">Error</a> = &'static <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.str.html">str</a></h4></section></summary><div class='docblock'>The type returned in the event of a conversion error.</div></details><details class="toggle method-toggle" open><summary><section id="method.try_from-2" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#159-167">source</a><a href="#method.try_from-2" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html#tymethod.try_from" class="fn">try_from</a>(any: <a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="enum" href="../../../../halo2_middleware/circuit/enum.Any.html" title="enum halo2_middleware::circuit::Any">Any</a>>) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a><Self, Self::<a class="associatedtype" href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html#associatedtype.Error" title="type core::convert::TryFrom::Error">Error</a>></h4></section></summary><div class='docblock'>Performs the conversion.</div></details></div></details><section id="impl-Copy-for-Column%3CC%3E" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#18">source</a><a href="#impl-Copy-for-Column%3CC%3E" class="anchor">§</a><h3 class="code-header">impl<C: <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Copy.html" title="trait core::marker::Copy">Copy</a> + <a class="trait" href="../trait.ColumnType.html" title="trait halo2_frontend::plonk::circuit::ColumnType">ColumnType</a>> <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Copy.html" title="trait core::marker::Copy">Copy</a> for <a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><C></h3></section><section id="impl-Eq-for-Column%3CC%3E" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#18">source</a><a href="#impl-Eq-for-Column%3CC%3E" class="anchor">§</a><h3 class="code-header">impl<C: <a class="trait" href="https://doc.rust-lang.org/nightly/core/cmp/trait.Eq.html" title="trait core::cmp::Eq">Eq</a> + <a class="trait" href="../trait.ColumnType.html" title="trait halo2_frontend::plonk::circuit::ColumnType">ColumnType</a>> <a class="trait" href="https://doc.rust-lang.org/nightly/core/cmp/trait.Eq.html" title="trait core::cmp::Eq">Eq</a> for <a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><C></h3></section><section id="impl-StructuralPartialEq-for-Column%3CC%3E" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#18">source</a><a href="#impl-StructuralPartialEq-for-Column%3CC%3E" class="anchor">§</a><h3 class="code-header">impl<C: <a class="trait" href="../trait.ColumnType.html" title="trait halo2_frontend::plonk::circuit::ColumnType">ColumnType</a>> <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.StructuralPartialEq.html" title="trait core::marker::StructuralPartialEq">StructuralPartialEq</a> for <a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><C></h3></section></div><h2 id="synthetic-implementations" class="section-header">Auto Trait Implementations<a href="#synthetic-implementations" class="anchor">§</a></h2><div id="synthetic-implementations-list"><section id="impl-Freeze-for-Column%3CC%3E" class="impl"><a href="#impl-Freeze-for-Column%3CC%3E" class="anchor">§</a><h3 class="code-header">impl<C> <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Freeze.html" title="trait core::marker::Freeze">Freeze</a> for <a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><C><div class="where">where
+operator. <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialOrd.html#method.ge">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-TryFrom%3CColumn%3CAny%3E%3E-for-Column%3CAdvice%3E" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#128-140">source</a><a href="#impl-TryFrom%3CColumn%3CAny%3E%3E-for-Column%3CAdvice%3E" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html" title="trait core::convert::TryFrom">TryFrom</a><<a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><Any>> for <a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="struct" href="../struct.Advice.html" title="struct halo2_frontend::plonk::circuit::Advice">Advice</a>></h3></section></summary><div class="impl-items"><details class="toggle" open><summary><section id="associatedtype.Error" class="associatedtype trait-impl"><a href="#associatedtype.Error" class="anchor">§</a><h4 class="code-header">type <a href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html#associatedtype.Error" class="associatedtype">Error</a> = &'static <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.str.html">str</a></h4></section></summary><div class='docblock'>The type returned in the event of a conversion error.</div></details><details class="toggle method-toggle" open><summary><section id="method.try_from" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#131-139">source</a><a href="#method.try_from" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html#tymethod.try_from" class="fn">try_from</a>(any: <a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><Any>) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a><Self, Self::<a class="associatedtype" href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html#associatedtype.Error" title="type core::convert::TryFrom::Error">Error</a>></h4></section></summary><div class='docblock'>Performs the conversion.</div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-TryFrom%3CColumn%3CAny%3E%3E-for-Column%3CFixed%3E" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#142-154">source</a><a href="#impl-TryFrom%3CColumn%3CAny%3E%3E-for-Column%3CFixed%3E" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html" title="trait core::convert::TryFrom">TryFrom</a><<a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><Any>> for <a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="struct" href="../struct.Fixed.html" title="struct halo2_frontend::plonk::circuit::Fixed">Fixed</a>></h3></section></summary><div class="impl-items"><details class="toggle" open><summary><section id="associatedtype.Error-1" class="associatedtype trait-impl"><a href="#associatedtype.Error-1" class="anchor">§</a><h4 class="code-header">type <a href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html#associatedtype.Error" class="associatedtype">Error</a> = &'static <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.str.html">str</a></h4></section></summary><div class='docblock'>The type returned in the event of a conversion error.</div></details><details class="toggle method-toggle" open><summary><section id="method.try_from-1" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#145-153">source</a><a href="#method.try_from-1" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html#tymethod.try_from" class="fn">try_from</a>(any: <a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><Any>) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a><Self, Self::<a class="associatedtype" href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html#associatedtype.Error" title="type core::convert::TryFrom::Error">Error</a>></h4></section></summary><div class='docblock'>Performs the conversion.</div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-TryFrom%3CColumn%3CAny%3E%3E-for-Column%3CInstance%3E" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#156-168">source</a><a href="#impl-TryFrom%3CColumn%3CAny%3E%3E-for-Column%3CInstance%3E" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html" title="trait core::convert::TryFrom">TryFrom</a><<a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><Any>> for <a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="struct" href="../struct.Instance.html" title="struct halo2_frontend::plonk::circuit::Instance">Instance</a>></h3></section></summary><div class="impl-items"><details class="toggle" open><summary><section id="associatedtype.Error-2" class="associatedtype trait-impl"><a href="#associatedtype.Error-2" class="anchor">§</a><h4 class="code-header">type <a href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html#associatedtype.Error" class="associatedtype">Error</a> = &'static <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.str.html">str</a></h4></section></summary><div class='docblock'>The type returned in the event of a conversion error.</div></details><details class="toggle method-toggle" open><summary><section id="method.try_from-2" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#159-167">source</a><a href="#method.try_from-2" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html#tymethod.try_from" class="fn">try_from</a>(any: <a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><Any>) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a><Self, Self::<a class="associatedtype" href="https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html#associatedtype.Error" title="type core::convert::TryFrom::Error">Error</a>></h4></section></summary><div class='docblock'>Performs the conversion.</div></details></div></details><section id="impl-Copy-for-Column%3CC%3E" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#18">source</a><a href="#impl-Copy-for-Column%3CC%3E" class="anchor">§</a><h3 class="code-header">impl<C: <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Copy.html" title="trait core::marker::Copy">Copy</a> + <a class="trait" href="../trait.ColumnType.html" title="trait halo2_frontend::plonk::circuit::ColumnType">ColumnType</a>> <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Copy.html" title="trait core::marker::Copy">Copy</a> for <a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><C></h3></section><section id="impl-Eq-for-Column%3CC%3E" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#18">source</a><a href="#impl-Eq-for-Column%3CC%3E" class="anchor">§</a><h3 class="code-header">impl<C: <a class="trait" href="https://doc.rust-lang.org/nightly/core/cmp/trait.Eq.html" title="trait core::cmp::Eq">Eq</a> + <a class="trait" href="../trait.ColumnType.html" title="trait halo2_frontend::plonk::circuit::ColumnType">ColumnType</a>> <a class="trait" href="https://doc.rust-lang.org/nightly/core/cmp/trait.Eq.html" title="trait core::cmp::Eq">Eq</a> for <a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><C></h3></section><section id="impl-StructuralPartialEq-for-Column%3CC%3E" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#18">source</a><a href="#impl-StructuralPartialEq-for-Column%3CC%3E" class="anchor">§</a><h3 class="code-header">impl<C: <a class="trait" href="../trait.ColumnType.html" title="trait halo2_frontend::plonk::circuit::ColumnType">ColumnType</a>> <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.StructuralPartialEq.html" title="trait core::marker::StructuralPartialEq">StructuralPartialEq</a> for <a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><C></h3></section></div><h2 id="synthetic-implementations" class="section-header">Auto Trait Implementations<a href="#synthetic-implementations" class="anchor">§</a></h2><div id="synthetic-implementations-list"><section id="impl-Freeze-for-Column%3CC%3E" class="impl"><a href="#impl-Freeze-for-Column%3CC%3E" class="anchor">§</a><h3 class="code-header">impl<C> <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Freeze.html" title="trait core::marker::Freeze">Freeze</a> for <a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><C><div class="where">where
C: <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Freeze.html" title="trait core::marker::Freeze">Freeze</a>,</div></h3></section><section id="impl-RefUnwindSafe-for-Column%3CC%3E" class="impl"><a href="#impl-RefUnwindSafe-for-Column%3CC%3E" class="anchor">§</a><h3 class="code-header">impl<C> <a class="trait" href="https://doc.rust-lang.org/nightly/core/panic/unwind_safe/trait.RefUnwindSafe.html" title="trait core::panic::unwind_safe::RefUnwindSafe">RefUnwindSafe</a> for <a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><C><div class="where">where
C: <a class="trait" href="https://doc.rust-lang.org/nightly/core/panic/unwind_safe/trait.RefUnwindSafe.html" title="trait core::panic::unwind_safe::RefUnwindSafe">RefUnwindSafe</a>,</div></h3></section><section id="impl-Send-for-Column%3CC%3E" class="impl"><a href="#impl-Send-for-Column%3CC%3E" class="anchor">§</a><h3 class="code-header">impl<C> <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Send.html" title="trait core::marker::Send">Send</a> for <a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><C><div class="where">where
C: <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Send.html" title="trait core::marker::Send">Send</a>,</div></h3></section><section id="impl-Sync-for-Column%3CC%3E" class="impl"><a href="#impl-Sync-for-Column%3CC%3E" class="anchor">§</a><h3 class="code-header">impl<C> <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sync.html" title="trait core::marker::Sync">Sync</a> for <a class="struct" href="struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><C><div class="where">where
diff --git a/halo2_frontend/plonk/circuit/expression/struct.FixedQuery.html b/halo2_frontend/plonk/circuit/expression/struct.FixedQuery.html
index eb4caf0d4e..bdabee598b 100644
--- a/halo2_frontend/plonk/circuit/expression/struct.FixedQuery.html
+++ b/halo2_frontend/plonk/circuit/expression/struct.FixedQuery.html
@@ -17,13 +17,13 @@
</head><body class="rustdoc struct"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle" title="show sidebar"></button></nav><nav class="sidebar"><div class="sidebar-crate"><h2><a href="../../../../halo2_frontend/index.html">halo2_frontend</a><span class="version">0.3.0</span></h2></div><h2 class="location"><a href="#">FixedQuery</a></h2><div class="sidebar-elems"><section><h3><a href="#fields">Fields</a></h3><ul class="block structfield"><li><a href="#structfield.column_index">column_index</a></li><li><a href="#structfield.index">index</a></li><li><a href="#structfield.rotation">rotation</a></li></ul><h3><a href="#implementations">Methods</a></h3><ul class="block method"><li><a href="#method.column_index">column_index</a></li><li><a href="#method.rotation">rotation</a></li></ul><h3><a href="#trait-implementations">Trait Implementations</a></h3><ul class="block trait-implementation"><li><a href="#impl-Clone-for-FixedQuery">Clone</a></li><li><a href="#impl-Copy-for-FixedQuery">Copy</a></li><li><a href="#impl-Debug-for-FixedQuery">Debug</a></li><li><a href="#impl-Eq-for-FixedQuery">Eq</a></li><li><a href="#impl-PartialEq-for-FixedQuery">PartialEq</a></li><li><a href="#impl-StructuralPartialEq-for-FixedQuery">StructuralPartialEq</a></li></ul><h3><a href="#synthetic-implementations">Auto Trait Implementations</a></h3><ul class="block synthetic-implementation"><li><a href="#impl-Freeze-for-FixedQuery">Freeze</a></li><li><a href="#impl-RefUnwindSafe-for-FixedQuery">RefUnwindSafe</a></li><li><a href="#impl-Send-for-FixedQuery">Send</a></li><li><a href="#impl-Sync-for-FixedQuery">Sync</a></li><li><a href="#impl-Unpin-for-FixedQuery">Unpin</a></li><li><a href="#impl-UnwindSafe-for-FixedQuery">UnwindSafe</a></li></ul><h3><a href="#blanket-implementations">Blanket Implementations</a></h3><ul class="block blanket-implementation"><li><a href="#impl-Any-for-T">Any</a></li><li><a href="#impl-Borrow%3CT%3E-for-T">Borrow<T></a></li><li><a href="#impl-BorrowMut%3CT%3E-for-T">BorrowMut<T></a></li><li><a href="#impl-Conv-for-T">Conv</a></li><li><a href="#impl-FmtForward-for-T">FmtForward</a></li><li><a href="#impl-From%3CT%3E-for-T">From<T></a></li><li><a href="#impl-Instrument-for-T">Instrument</a></li><li><a href="#impl-Into%3CU%3E-for-T">Into<U></a></li><li><a href="#impl-IntoEither-for-T">IntoEither</a></li><li><a href="#impl-Pipe-for-T">Pipe</a></li><li><a href="#impl-Pointable-for-T">Pointable</a></li><li><a href="#impl-SyncDeps-for-T">SyncDeps</a></li><li><a href="#impl-Tap-for-T">Tap</a></li><li><a href="#impl-ToOwned-for-T">ToOwned</a></li><li><a href="#impl-TryConv-for-T">TryConv</a></li><li><a href="#impl-TryFrom%3CU%3E-for-T">TryFrom<U></a></li><li><a href="#impl-TryInto%3CU%3E-for-T">TryInto<U></a></li><li><a href="#impl-VZip%3CV%3E-for-T">VZip<V></a></li><li><a href="#impl-WithSubscriber-for-T">WithSubscriber</a></li></ul></section><h2><a href="index.html">In halo2_frontend::plonk::circuit::expression</a></h2></div></nav><div class="sidebar-resizer"></div><main><div class="width-limiter"><rustdoc-search></rustdoc-search><section id="main-content" class="content"><div class="main-heading"><h1>Struct <a href="../../../index.html">halo2_frontend</a>::<wbr><a href="../../index.html">plonk</a>::<wbr><a href="../index.html">circuit</a>::<wbr><a href="index.html">expression</a>::<wbr><a class="struct" href="#">FixedQuery</a><button id="copy-path" title="Copy item path to clipboard">Copy item path</button></h1><span class="out-of-band"><a class="src" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#304-311">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>−</span>]</button></span></div><pre class="rust item-decl"><code>pub struct FixedQuery {
pub index: <a class="enum" href="https://doc.rust-lang.org/nightly/core/option/enum.Option.html" title="enum core::option::Option">Option</a><<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>>,
pub column_index: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>,
- pub rotation: <a class="struct" href="../../../../halo2_middleware/poly/struct.Rotation.html" title="struct halo2_middleware::poly::Rotation">Rotation</a>,
+ pub rotation: Rotation,
}</code></pre><details class="toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>Query of fixed column at a certain relative location</p>
</div></details><h2 id="fields" class="fields section-header">Fields<a href="#fields" class="anchor">§</a></h2><span id="structfield.index" class="structfield section-header"><a href="#structfield.index" class="anchor field">§</a><code>index: <a class="enum" href="https://doc.rust-lang.org/nightly/core/option/enum.Option.html" title="enum core::option::Option">Option</a><<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>></code></span><div class="docblock"><p>Query index</p>
</div><span id="structfield.column_index" class="structfield section-header"><a href="#structfield.column_index" class="anchor field">§</a><code>column_index: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a></code></span><div class="docblock"><p>Column index</p>
-</div><span id="structfield.rotation" class="structfield section-header"><a href="#structfield.rotation" class="anchor field">§</a><code>rotation: <a class="struct" href="../../../../halo2_middleware/poly/struct.Rotation.html" title="struct halo2_middleware::poly::Rotation">Rotation</a></code></span><div class="docblock"><p>Rotation of this query</p>
+</div><span id="structfield.rotation" class="structfield section-header"><a href="#structfield.rotation" class="anchor field">§</a><code>rotation: Rotation</code></span><div class="docblock"><p>Rotation of this query</p>
</div><h2 id="implementations" class="section-header">Implementations<a href="#implementations" class="anchor">§</a></h2><div id="implementations-list"><details class="toggle implementors-toggle" open><summary><section id="impl-FixedQuery" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#313-323">source</a><a href="#impl-FixedQuery" class="anchor">§</a><h3 class="code-header">impl <a class="struct" href="struct.FixedQuery.html" title="struct halo2_frontend::plonk::circuit::expression::FixedQuery">FixedQuery</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.column_index" class="method"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#315-317">source</a><h4 class="code-header">pub fn <a href="#method.column_index" class="fn">column_index</a>(&self) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a></h4></section></summary><div class="docblock"><p>Column index</p>
-</div></details><details class="toggle method-toggle" open><summary><section id="method.rotation" class="method"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#320-322">source</a><h4 class="code-header">pub fn <a href="#method.rotation" class="fn">rotation</a>(&self) -> <a class="struct" href="../../../../halo2_middleware/poly/struct.Rotation.html" title="struct halo2_middleware::poly::Rotation">Rotation</a></h4></section></summary><div class="docblock"><p>Rotation of this query</p>
+</div></details><details class="toggle method-toggle" open><summary><section id="method.rotation" class="method"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#320-322">source</a><h4 class="code-header">pub fn <a href="#method.rotation" class="fn">rotation</a>(&self) -> Rotation</h4></section></summary><div class="docblock"><p>Rotation of this query</p>
</div></details></div></details></div><h2 id="trait-implementations" class="section-header">Trait Implementations<a href="#trait-implementations" class="anchor">§</a></h2><div id="trait-implementations-list"><details class="toggle implementors-toggle" open><summary><section id="impl-Clone-for-FixedQuery" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#303">source</a><a href="#impl-Clone-for-FixedQuery" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a> for <a class="struct" href="struct.FixedQuery.html" title="struct halo2_frontend::plonk::circuit::expression::FixedQuery">FixedQuery</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.clone" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#303">source</a><a href="#method.clone" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#tymethod.clone" class="fn">clone</a>(&self) -> <a class="struct" href="struct.FixedQuery.html" title="struct halo2_frontend::plonk::circuit::expression::FixedQuery">FixedQuery</a></h4></section></summary><div class='docblock'>Returns a copy of the value. <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#tymethod.clone">Read more</a></div></details><details class="toggle method-toggle" open><summary><section id="method.clone_from" class="method trait-impl"><span class="rightside"><span class="since" title="Stable since Rust version 1.0.0">1.0.0</span> · <a class="src" href="https://doc.rust-lang.org/nightly/src/core/clone.rs.html#169">source</a></span><a href="#method.clone_from" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#method.clone_from" class="fn">clone_from</a>(&mut self, source: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&Self</a>)</h4></section></summary><div class='docblock'>Performs copy-assignment from <code>source</code>. <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#method.clone_from">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-Debug-for-FixedQuery" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#303">source</a><a href="#impl-Debug-for-FixedQuery" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a> for <a class="struct" href="struct.FixedQuery.html" title="struct halo2_frontend::plonk::circuit::expression::FixedQuery">FixedQuery</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.fmt" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#303">source</a><a href="#method.fmt" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt" class="fn">fmt</a>(&self, f: &mut <a class="struct" href="https://doc.rust-lang.org/nightly/core/fmt/struct.Formatter.html" title="struct core::fmt::Formatter">Formatter</a><'_>) -> <a class="type" href="https://doc.rust-lang.org/nightly/core/fmt/type.Result.html" title="type core::fmt::Result">Result</a></h4></section></summary><div class='docblock'>Formats the value using the given formatter. <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-PartialEq-for-FixedQuery" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#303">source</a><a href="#impl-PartialEq-for-FixedQuery" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialEq.html" title="trait core::cmp::PartialEq">PartialEq</a> for <a class="struct" href="struct.FixedQuery.html" title="struct halo2_frontend::plonk::circuit::expression::FixedQuery">FixedQuery</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.eq" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#303">source</a><a href="#method.eq" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialEq.html#tymethod.eq" class="fn">eq</a>(&self, other: &<a class="struct" href="struct.FixedQuery.html" title="struct halo2_frontend::plonk::circuit::expression::FixedQuery">FixedQuery</a>) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></h4></section></summary><div class='docblock'>This method tests for <code>self</code> and <code>other</code> values to be equal, and is used
by <code>==</code>.</div></details><details class="toggle method-toggle" open><summary><section id="method.ne" class="method trait-impl"><span class="rightside"><span class="since" title="Stable since Rust version 1.0.0">1.0.0</span> · <a class="src" href="https://doc.rust-lang.org/nightly/src/core/cmp.rs.html#263">source</a></span><a href="#method.ne" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialEq.html#method.ne" class="fn">ne</a>(&self, other: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&Rhs</a>) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></h4></section></summary><div class='docblock'>This method tests for <code>!=</code>. The default implementation is almost always
sufficient, and should not be overridden without very good reason.</div></details></div></details><section id="impl-Copy-for-FixedQuery" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#303">source</a><a href="#impl-Copy-for-FixedQuery" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Copy.html" title="trait core::marker::Copy">Copy</a> for <a class="struct" href="struct.FixedQuery.html" title="struct halo2_frontend::plonk::circuit::expression::FixedQuery">FixedQuery</a></h3></section><section id="impl-Eq-for-FixedQuery" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#303">source</a><a href="#impl-Eq-for-FixedQuery" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/cmp/trait.Eq.html" title="trait core::cmp::Eq">Eq</a> for <a class="struct" href="struct.FixedQuery.html" title="struct halo2_frontend::plonk::circuit::expression::FixedQuery">FixedQuery</a></h3></section><section id="impl-StructuralPartialEq-for-FixedQuery" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#303">source</a><a href="#impl-StructuralPartialEq-for-FixedQuery" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.StructuralPartialEq.html" title="trait core::marker::StructuralPartialEq">StructuralPartialEq</a> for <a class="struct" href="struct.FixedQuery.html" title="struct halo2_frontend::plonk::circuit::expression::FixedQuery">FixedQuery</a></h3></section></div><h2 id="synthetic-implementations" class="section-header">Auto Trait Implementations<a href="#synthetic-implementations" class="anchor">§</a></h2><div id="synthetic-implementations-list"><section id="impl-Freeze-for-FixedQuery" class="impl"><a href="#impl-Freeze-for-FixedQuery" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Freeze.html" title="trait core::marker::Freeze">Freeze</a> for <a class="struct" href="struct.FixedQuery.html" title="struct halo2_frontend::plonk::circuit::expression::FixedQuery">FixedQuery</a></h3></section><section id="impl-RefUnwindSafe-for-FixedQuery" class="impl"><a href="#impl-RefUnwindSafe-for-FixedQuery" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/panic/unwind_safe/trait.RefUnwindSafe.html" title="trait core::panic::unwind_safe::RefUnwindSafe">RefUnwindSafe</a> for <a class="struct" href="struct.FixedQuery.html" title="struct halo2_frontend::plonk::circuit::expression::FixedQuery">FixedQuery</a></h3></section><section id="impl-Send-for-FixedQuery" class="impl"><a href="#impl-Send-for-FixedQuery" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Send.html" title="trait core::marker::Send">Send</a> for <a class="struct" href="struct.FixedQuery.html" title="struct halo2_frontend::plonk::circuit::expression::FixedQuery">FixedQuery</a></h3></section><section id="impl-Sync-for-FixedQuery" class="impl"><a href="#impl-Sync-for-FixedQuery" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sync.html" title="trait core::marker::Sync">Sync</a> for <a class="struct" href="struct.FixedQuery.html" title="struct halo2_frontend::plonk::circuit::expression::FixedQuery">FixedQuery</a></h3></section><section id="impl-Unpin-for-FixedQuery" class="impl"><a href="#impl-Unpin-for-FixedQuery" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Unpin.html" title="trait core::marker::Unpin">Unpin</a> for <a class="struct" href="struct.FixedQuery.html" title="struct halo2_frontend::plonk::circuit::expression::FixedQuery">FixedQuery</a></h3></section><section id="impl-UnwindSafe-for-FixedQuery" class="impl"><a href="#impl-UnwindSafe-for-FixedQuery" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/panic/unwind_safe/trait.UnwindSafe.html" title="trait core::panic::unwind_safe::UnwindSafe">UnwindSafe</a> for <a class="struct" href="struct.FixedQuery.html" title="struct halo2_frontend::plonk::circuit::expression::FixedQuery">FixedQuery</a></h3></section></div><h2 id="blanket-implementations" class="section-header">Blanket Implementations<a href="#blanket-implementations" class="anchor">§</a></h2><div id="blanket-implementations-list"><details class="toggle implementors-toggle"><summary><section id="impl-Any-for-T" class="impl"><a class="src rightside" href="https://doc.rust-lang.org/nightly/src/core/any.rs.html#140">source</a><a href="#impl-Any-for-T" class="anchor">§</a><h3 class="code-header">impl<T> <a class="trait" href="https://doc.rust-lang.org/nightly/core/any/trait.Any.html" title="trait core::any::Any">Any</a> for T<div class="where">where
diff --git a/halo2_frontend/plonk/circuit/expression/struct.InstanceQuery.html b/halo2_frontend/plonk/circuit/expression/struct.InstanceQuery.html
index edeffaf558..d48914c2f0 100644
--- a/halo2_frontend/plonk/circuit/expression/struct.InstanceQuery.html
+++ b/halo2_frontend/plonk/circuit/expression/struct.InstanceQuery.html
@@ -17,13 +17,13 @@
</head><body class="rustdoc struct"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle" title="show sidebar"></button></nav><nav class="sidebar"><div class="sidebar-crate"><h2><a href="../../../../halo2_frontend/index.html">halo2_frontend</a><span class="version">0.3.0</span></h2></div><h2 class="location"><a href="#">InstanceQuery</a></h2><div class="sidebar-elems"><section><h3><a href="#fields">Fields</a></h3><ul class="block structfield"><li><a href="#structfield.column_index">column_index</a></li><li><a href="#structfield.index">index</a></li><li><a href="#structfield.rotation">rotation</a></li></ul><h3><a href="#implementations">Methods</a></h3><ul class="block method"><li><a href="#method.column_index">column_index</a></li><li><a href="#method.rotation">rotation</a></li></ul><h3><a href="#trait-implementations">Trait Implementations</a></h3><ul class="block trait-implementation"><li><a href="#impl-Clone-for-InstanceQuery">Clone</a></li><li><a href="#impl-Copy-for-InstanceQuery">Copy</a></li><li><a href="#impl-Debug-for-InstanceQuery">Debug</a></li><li><a href="#impl-Eq-for-InstanceQuery">Eq</a></li><li><a href="#impl-PartialEq-for-InstanceQuery">PartialEq</a></li><li><a href="#impl-StructuralPartialEq-for-InstanceQuery">StructuralPartialEq</a></li></ul><h3><a href="#synthetic-implementations">Auto Trait Implementations</a></h3><ul class="block synthetic-implementation"><li><a href="#impl-Freeze-for-InstanceQuery">Freeze</a></li><li><a href="#impl-RefUnwindSafe-for-InstanceQuery">RefUnwindSafe</a></li><li><a href="#impl-Send-for-InstanceQuery">Send</a></li><li><a href="#impl-Sync-for-InstanceQuery">Sync</a></li><li><a href="#impl-Unpin-for-InstanceQuery">Unpin</a></li><li><a href="#impl-UnwindSafe-for-InstanceQuery">UnwindSafe</a></li></ul><h3><a href="#blanket-implementations">Blanket Implementations</a></h3><ul class="block blanket-implementation"><li><a href="#impl-Any-for-T">Any</a></li><li><a href="#impl-Borrow%3CT%3E-for-T">Borrow<T></a></li><li><a href="#impl-BorrowMut%3CT%3E-for-T">BorrowMut<T></a></li><li><a href="#impl-Conv-for-T">Conv</a></li><li><a href="#impl-FmtForward-for-T">FmtForward</a></li><li><a href="#impl-From%3CT%3E-for-T">From<T></a></li><li><a href="#impl-Instrument-for-T">Instrument</a></li><li><a href="#impl-Into%3CU%3E-for-T">Into<U></a></li><li><a href="#impl-IntoEither-for-T">IntoEither</a></li><li><a href="#impl-Pipe-for-T">Pipe</a></li><li><a href="#impl-Pointable-for-T">Pointable</a></li><li><a href="#impl-SyncDeps-for-T">SyncDeps</a></li><li><a href="#impl-Tap-for-T">Tap</a></li><li><a href="#impl-ToOwned-for-T">ToOwned</a></li><li><a href="#impl-TryConv-for-T">TryConv</a></li><li><a href="#impl-TryFrom%3CU%3E-for-T">TryFrom<U></a></li><li><a href="#impl-TryInto%3CU%3E-for-T">TryInto<U></a></li><li><a href="#impl-VZip%3CV%3E-for-T">VZip<V></a></li><li><a href="#impl-WithSubscriber-for-T">WithSubscriber</a></li></ul></section><h2><a href="index.html">In halo2_frontend::plonk::circuit::expression</a></h2></div></nav><div class="sidebar-resizer"></div><main><div class="width-limiter"><rustdoc-search></rustdoc-search><section id="main-content" class="content"><div class="main-heading"><h1>Struct <a href="../../../index.html">halo2_frontend</a>::<wbr><a href="../../index.html">plonk</a>::<wbr><a href="../index.html">circuit</a>::<wbr><a href="index.html">expression</a>::<wbr><a class="struct" href="#">InstanceQuery</a><button id="copy-path" title="Copy item path to clipboard">Copy item path</button></h1><span class="out-of-band"><a class="src" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#350-357">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>−</span>]</button></span></div><pre class="rust item-decl"><code>pub struct InstanceQuery {
pub index: <a class="enum" href="https://doc.rust-lang.org/nightly/core/option/enum.Option.html" title="enum core::option::Option">Option</a><<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>>,
pub column_index: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>,
- pub rotation: <a class="struct" href="../../../../halo2_middleware/poly/struct.Rotation.html" title="struct halo2_middleware::poly::Rotation">Rotation</a>,
+ pub rotation: Rotation,
}</code></pre><details class="toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>Query of instance column at a certain relative location</p>
</div></details><h2 id="fields" class="fields section-header">Fields<a href="#fields" class="anchor">§</a></h2><span id="structfield.index" class="structfield section-header"><a href="#structfield.index" class="anchor field">§</a><code>index: <a class="enum" href="https://doc.rust-lang.org/nightly/core/option/enum.Option.html" title="enum core::option::Option">Option</a><<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>></code></span><div class="docblock"><p>Query index</p>
</div><span id="structfield.column_index" class="structfield section-header"><a href="#structfield.column_index" class="anchor field">§</a><code>column_index: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a></code></span><div class="docblock"><p>Column index</p>
-</div><span id="structfield.rotation" class="structfield section-header"><a href="#structfield.rotation" class="anchor field">§</a><code>rotation: <a class="struct" href="../../../../halo2_middleware/poly/struct.Rotation.html" title="struct halo2_middleware::poly::Rotation">Rotation</a></code></span><div class="docblock"><p>Rotation of this query</p>
+</div><span id="structfield.rotation" class="structfield section-header"><a href="#structfield.rotation" class="anchor field">§</a><code>rotation: Rotation</code></span><div class="docblock"><p>Rotation of this query</p>
</div><h2 id="implementations" class="section-header">Implementations<a href="#implementations" class="anchor">§</a></h2><div id="implementations-list"><details class="toggle implementors-toggle" open><summary><section id="impl-InstanceQuery" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#359-369">source</a><a href="#impl-InstanceQuery" class="anchor">§</a><h3 class="code-header">impl <a class="struct" href="struct.InstanceQuery.html" title="struct halo2_frontend::plonk::circuit::expression::InstanceQuery">InstanceQuery</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.column_index" class="method"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#361-363">source</a><h4 class="code-header">pub fn <a href="#method.column_index" class="fn">column_index</a>(&self) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a></h4></section></summary><div class="docblock"><p>Column index</p>
-</div></details><details class="toggle method-toggle" open><summary><section id="method.rotation" class="method"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#366-368">source</a><h4 class="code-header">pub fn <a href="#method.rotation" class="fn">rotation</a>(&self) -> <a class="struct" href="../../../../halo2_middleware/poly/struct.Rotation.html" title="struct halo2_middleware::poly::Rotation">Rotation</a></h4></section></summary><div class="docblock"><p>Rotation of this query</p>
+</div></details><details class="toggle method-toggle" open><summary><section id="method.rotation" class="method"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#366-368">source</a><h4 class="code-header">pub fn <a href="#method.rotation" class="fn">rotation</a>(&self) -> Rotation</h4></section></summary><div class="docblock"><p>Rotation of this query</p>
</div></details></div></details></div><h2 id="trait-implementations" class="section-header">Trait Implementations<a href="#trait-implementations" class="anchor">§</a></h2><div id="trait-implementations-list"><details class="toggle implementors-toggle" open><summary><section id="impl-Clone-for-InstanceQuery" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#349">source</a><a href="#impl-Clone-for-InstanceQuery" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a> for <a class="struct" href="struct.InstanceQuery.html" title="struct halo2_frontend::plonk::circuit::expression::InstanceQuery">InstanceQuery</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.clone" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#349">source</a><a href="#method.clone" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#tymethod.clone" class="fn">clone</a>(&self) -> <a class="struct" href="struct.InstanceQuery.html" title="struct halo2_frontend::plonk::circuit::expression::InstanceQuery">InstanceQuery</a></h4></section></summary><div class='docblock'>Returns a copy of the value. <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#tymethod.clone">Read more</a></div></details><details class="toggle method-toggle" open><summary><section id="method.clone_from" class="method trait-impl"><span class="rightside"><span class="since" title="Stable since Rust version 1.0.0">1.0.0</span> · <a class="src" href="https://doc.rust-lang.org/nightly/src/core/clone.rs.html#169">source</a></span><a href="#method.clone_from" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#method.clone_from" class="fn">clone_from</a>(&mut self, source: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&Self</a>)</h4></section></summary><div class='docblock'>Performs copy-assignment from <code>source</code>. <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#method.clone_from">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-Debug-for-InstanceQuery" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#349">source</a><a href="#impl-Debug-for-InstanceQuery" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a> for <a class="struct" href="struct.InstanceQuery.html" title="struct halo2_frontend::plonk::circuit::expression::InstanceQuery">InstanceQuery</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.fmt" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#349">source</a><a href="#method.fmt" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt" class="fn">fmt</a>(&self, f: &mut <a class="struct" href="https://doc.rust-lang.org/nightly/core/fmt/struct.Formatter.html" title="struct core::fmt::Formatter">Formatter</a><'_>) -> <a class="type" href="https://doc.rust-lang.org/nightly/core/fmt/type.Result.html" title="type core::fmt::Result">Result</a></h4></section></summary><div class='docblock'>Formats the value using the given formatter. <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-PartialEq-for-InstanceQuery" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#349">source</a><a href="#impl-PartialEq-for-InstanceQuery" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialEq.html" title="trait core::cmp::PartialEq">PartialEq</a> for <a class="struct" href="struct.InstanceQuery.html" title="struct halo2_frontend::plonk::circuit::expression::InstanceQuery">InstanceQuery</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.eq" class="method trait-impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#349">source</a><a href="#method.eq" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialEq.html#tymethod.eq" class="fn">eq</a>(&self, other: &<a class="struct" href="struct.InstanceQuery.html" title="struct halo2_frontend::plonk::circuit::expression::InstanceQuery">InstanceQuery</a>) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></h4></section></summary><div class='docblock'>This method tests for <code>self</code> and <code>other</code> values to be equal, and is used
by <code>==</code>.</div></details><details class="toggle method-toggle" open><summary><section id="method.ne" class="method trait-impl"><span class="rightside"><span class="since" title="Stable since Rust version 1.0.0">1.0.0</span> · <a class="src" href="https://doc.rust-lang.org/nightly/src/core/cmp.rs.html#263">source</a></span><a href="#method.ne" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialEq.html#method.ne" class="fn">ne</a>(&self, other: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&Rhs</a>) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></h4></section></summary><div class='docblock'>This method tests for <code>!=</code>. The default implementation is almost always
sufficient, and should not be overridden without very good reason.</div></details></div></details><section id="impl-Copy-for-InstanceQuery" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#349">source</a><a href="#impl-Copy-for-InstanceQuery" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Copy.html" title="trait core::marker::Copy">Copy</a> for <a class="struct" href="struct.InstanceQuery.html" title="struct halo2_frontend::plonk::circuit::expression::InstanceQuery">InstanceQuery</a></h3></section><section id="impl-Eq-for-InstanceQuery" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#349">source</a><a href="#impl-Eq-for-InstanceQuery" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/cmp/trait.Eq.html" title="trait core::cmp::Eq">Eq</a> for <a class="struct" href="struct.InstanceQuery.html" title="struct halo2_frontend::plonk::circuit::expression::InstanceQuery">InstanceQuery</a></h3></section><section id="impl-StructuralPartialEq-for-InstanceQuery" class="impl"><a class="src rightside" href="../../../../src/halo2_frontend/plonk/circuit/expression.rs.html#349">source</a><a href="#impl-StructuralPartialEq-for-InstanceQuery" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.StructuralPartialEq.html" title="trait core::marker::StructuralPartialEq">StructuralPartialEq</a> for <a class="struct" href="struct.InstanceQuery.html" title="struct halo2_frontend::plonk::circuit::expression::InstanceQuery">InstanceQuery</a></h3></section></div><h2 id="synthetic-implementations" class="section-header">Auto Trait Implementations<a href="#synthetic-implementations" class="anchor">§</a></h2><div id="synthetic-implementations-list"><section id="impl-Freeze-for-InstanceQuery" class="impl"><a href="#impl-Freeze-for-InstanceQuery" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Freeze.html" title="trait core::marker::Freeze">Freeze</a> for <a class="struct" href="struct.InstanceQuery.html" title="struct halo2_frontend::plonk::circuit::expression::InstanceQuery">InstanceQuery</a></h3></section><section id="impl-RefUnwindSafe-for-InstanceQuery" class="impl"><a href="#impl-RefUnwindSafe-for-InstanceQuery" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/panic/unwind_safe/trait.RefUnwindSafe.html" title="trait core::panic::unwind_safe::RefUnwindSafe">RefUnwindSafe</a> for <a class="struct" href="struct.InstanceQuery.html" title="struct halo2_frontend::plonk::circuit::expression::InstanceQuery">InstanceQuery</a></h3></section><section id="impl-Send-for-InstanceQuery" class="impl"><a href="#impl-Send-for-InstanceQuery" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Send.html" title="trait core::marker::Send">Send</a> for <a class="struct" href="struct.InstanceQuery.html" title="struct halo2_frontend::plonk::circuit::expression::InstanceQuery">InstanceQuery</a></h3></section><section id="impl-Sync-for-InstanceQuery" class="impl"><a href="#impl-Sync-for-InstanceQuery" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sync.html" title="trait core::marker::Sync">Sync</a> for <a class="struct" href="struct.InstanceQuery.html" title="struct halo2_frontend::plonk::circuit::expression::InstanceQuery">InstanceQuery</a></h3></section><section id="impl-Unpin-for-InstanceQuery" class="impl"><a href="#impl-Unpin-for-InstanceQuery" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Unpin.html" title="trait core::marker::Unpin">Unpin</a> for <a class="struct" href="struct.InstanceQuery.html" title="struct halo2_frontend::plonk::circuit::expression::InstanceQuery">InstanceQuery</a></h3></section><section id="impl-UnwindSafe-for-InstanceQuery" class="impl"><a href="#impl-UnwindSafe-for-InstanceQuery" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/panic/unwind_safe/trait.UnwindSafe.html" title="trait core::panic::unwind_safe::UnwindSafe">UnwindSafe</a> for <a class="struct" href="struct.InstanceQuery.html" title="struct halo2_frontend::plonk::circuit::expression::InstanceQuery">InstanceQuery</a></h3></section></div><h2 id="blanket-implementations" class="section-header">Blanket Implementations<a href="#blanket-implementations" class="anchor">§</a></h2><div id="blanket-implementations-list"><details class="toggle implementors-toggle"><summary><section id="impl-Any-for-T" class="impl"><a class="src rightside" href="https://doc.rust-lang.org/nightly/src/core/any.rs.html#140">source</a><a href="#impl-Any-for-T" class="anchor">§</a><h3 class="code-header">impl<T> <a class="trait" href="https://doc.rust-lang.org/nightly/core/any/trait.Any.html" title="trait core::any::Any">Any</a> for T<div class="where">where
diff --git a/halo2_frontend/plonk/circuit/struct.Advice.html b/halo2_frontend/plonk/circuit/struct.Advice.html
index 5770a028ee..16122d8c9a 100644
--- a/halo2_frontend/plonk/circuit/struct.Advice.html
+++ b/halo2_frontend/plonk/circuit/struct.Advice.html
@@ -15,7 +15,7 @@
</script>
</head><body class="rustdoc struct"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle" title="show sidebar"></button></nav><nav class="sidebar"><div class="sidebar-crate"><h2><a href="../../../halo2_frontend/index.html">halo2_frontend</a><span class="version">0.3.0</span></h2></div><h2 class="location"><a href="#">Advice</a></h2><div class="sidebar-elems"><section><h3><a href="#trait-implementations">Trait Implementations</a></h3><ul class="block trait-implementation"><li><a href="#impl-Clone-for-Advice">Clone</a></li><li><a href="#impl-ColumnType-for-Advice">ColumnType</a></li><li><a href="#impl-Copy-for-Advice">Copy</a></li><li><a href="#impl-Debug-for-Advice">Debug</a></li><li><a href="#impl-Eq-for-Advice">Eq</a></li><li><a href="#impl-From%3CAdvice%3E-for-Any">From<Advice></a></li><li><a href="#impl-Hash-for-Advice">Hash</a></li><li><a href="#impl-PartialEq-for-Advice">PartialEq</a></li><li><a href="#impl-StructuralPartialEq-for-Advice">StructuralPartialEq</a></li></ul><h3><a href="#synthetic-implementations">Auto Trait Implementations</a></h3><ul class="block synthetic-implementation"><li><a href="#impl-Freeze-for-Advice">Freeze</a></li><li><a href="#impl-RefUnwindSafe-for-Advice">RefUnwindSafe</a></li><li><a href="#impl-Send-for-Advice">Send</a></li><li><a href="#impl-Sync-for-Advice">Sync</a></li><li><a href="#impl-Unpin-for-Advice">Unpin</a></li><li><a href="#impl-UnwindSafe-for-Advice">UnwindSafe</a></li></ul><h3><a href="#blanket-implementations">Blanket Implementations</a></h3><ul class="block blanket-implementation"><li><a href="#impl-Any-for-T">Any</a></li><li><a href="#impl-Borrow%3CT%3E-for-T">Borrow<T></a></li><li><a href="#impl-BorrowMut%3CT%3E-for-T">BorrowMut<T></a></li><li><a href="#impl-Conv-for-T">Conv</a></li><li><a href="#impl-FmtForward-for-T">FmtForward</a></li><li><a href="#impl-From%3CT%3E-for-T">From<T></a></li><li><a href="#impl-Instrument-for-T">Instrument</a></li><li><a href="#impl-Into%3CU%3E-for-T">Into<U></a></li><li><a href="#impl-IntoEither-for-T">IntoEither</a></li><li><a href="#impl-Pipe-for-T">Pipe</a></li><li><a href="#impl-Pointable-for-T">Pointable</a></li><li><a href="#impl-SyncDeps-for-T">SyncDeps</a></li><li><a href="#impl-Tap-for-T">Tap</a></li><li><a href="#impl-ToOwned-for-T">ToOwned</a></li><li><a href="#impl-TryConv-for-T">TryConv</a></li><li><a href="#impl-TryFrom%3CU%3E-for-T">TryFrom<U></a></li><li><a href="#impl-TryInto%3CU%3E-for-T">TryInto<U></a></li><li><a href="#impl-VZip%3CV%3E-for-T">VZip<V></a></li><li><a href="#impl-WithSubscriber-for-T">WithSubscriber</a></li></ul></section><h2><a href="index.html">In halo2_frontend::plonk::circuit</a></h2></div></nav><div class="sidebar-resizer"></div><main><div class="width-limiter"><rustdoc-search></rustdoc-search><section id="main-content" class="content"><div class="main-heading"><h1>Struct <a href="../../index.html">halo2_frontend</a>::<wbr><a href="../index.html">plonk</a>::<wbr><a href="index.html">circuit</a>::<wbr><a class="struct" href="#">Advice</a><button id="copy-path" title="Copy item path to clipboard">Copy item path</button></h1><span class="out-of-band"><a class="src" href="../../../src/halo2_frontend/plonk/circuit.rs.html#24">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>−</span>]</button></span></div><pre class="rust item-decl"><code>pub struct Advice;</code></pre><details class="toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>An advice column</p>
-</div></details><h2 id="trait-implementations" class="section-header">Trait Implementations<a href="#trait-implementations" class="anchor">§</a></h2><div id="trait-implementations-list"><details class="toggle implementors-toggle" open><summary><section id="impl-Clone-for-Advice" class="impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#23">source</a><a href="#impl-Clone-for-Advice" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a> for <a class="struct" href="struct.Advice.html" title="struct halo2_frontend::plonk::circuit::Advice">Advice</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.clone" class="method trait-impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#23">source</a><a href="#method.clone" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#tymethod.clone" class="fn">clone</a>(&self) -> <a class="struct" href="struct.Advice.html" title="struct halo2_frontend::plonk::circuit::Advice">Advice</a></h4></section></summary><div class='docblock'>Returns a copy of the value. <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#tymethod.clone">Read more</a></div></details><details class="toggle method-toggle" open><summary><section id="method.clone_from" class="method trait-impl"><span class="rightside"><span class="since" title="Stable since Rust version 1.0.0">1.0.0</span> · <a class="src" href="https://doc.rust-lang.org/nightly/src/core/clone.rs.html#169">source</a></span><a href="#method.clone_from" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#method.clone_from" class="fn">clone_from</a>(&mut self, source: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&Self</a>)</h4></section></summary><div class='docblock'>Performs copy-assignment from <code>source</code>. <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#method.clone_from">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-ColumnType-for-Advice" class="impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#34-42">source</a><a href="#impl-ColumnType-for-Advice" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="trait.ColumnType.html" title="trait halo2_frontend::plonk::circuit::ColumnType">ColumnType</a> for <a class="struct" href="struct.Advice.html" title="struct halo2_frontend::plonk::circuit::Advice">Advice</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.query_cell" class="method trait-impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#35-41">source</a><a href="#method.query_cell" class="anchor">§</a><h4 class="code-header">fn <a href="trait.ColumnType.html#tymethod.query_cell" class="fn">query_cell</a><F: Field>(&self, index: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>, at: <a class="struct" href="../../../halo2_middleware/poly/struct.Rotation.html" title="struct halo2_middleware::poly::Rotation">Rotation</a>) -> <a class="enum" href="expression/enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F></h4></section></summary><div class='docblock'>Return expression from cell</div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-Debug-for-Advice" class="impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#23">source</a><a href="#impl-Debug-for-Advice" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a> for <a class="struct" href="struct.Advice.html" title="struct halo2_frontend::plonk::circuit::Advice">Advice</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.fmt" class="method trait-impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#23">source</a><a href="#method.fmt" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt" class="fn">fmt</a>(&self, f: &mut <a class="struct" href="https://doc.rust-lang.org/nightly/core/fmt/struct.Formatter.html" title="struct core::fmt::Formatter">Formatter</a><'_>) -> <a class="type" href="https://doc.rust-lang.org/nightly/core/fmt/type.Result.html" title="type core::fmt::Result">Result</a></h4></section></summary><div class='docblock'>Formats the value using the given formatter. <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-From%3CAdvice%3E-for-Any" class="impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#83-87">source</a><a href="#impl-From%3CAdvice%3E-for-Any" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html" title="trait core::convert::From">From</a><<a class="struct" href="struct.Advice.html" title="struct halo2_frontend::plonk::circuit::Advice">Advice</a>> for <a class="enum" href="../../../halo2_middleware/circuit/enum.Any.html" title="enum halo2_middleware::circuit::Any">Any</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.from" class="method trait-impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#84-86">source</a><a href="#method.from" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html#tymethod.from" class="fn">from</a>(_: <a class="struct" href="struct.Advice.html" title="struct halo2_frontend::plonk::circuit::Advice">Advice</a>) -> <a class="enum" href="../../../halo2_middleware/circuit/enum.Any.html" title="enum halo2_middleware::circuit::Any">Any</a></h4></section></summary><div class='docblock'>Converts to this type from the input type.</div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-Hash-for-Advice" class="impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#23">source</a><a href="#impl-Hash-for-Advice" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html" title="trait core::hash::Hash">Hash</a> for <a class="struct" href="struct.Advice.html" title="struct halo2_frontend::plonk::circuit::Advice">Advice</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.hash" class="method trait-impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#23">source</a><a href="#method.hash" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html#tymethod.hash" class="fn">hash</a><__H: <a class="trait" href="https://doc.rust-lang.org/nightly/core/hash/trait.Hasher.html" title="trait core::hash::Hasher">Hasher</a>>(&self, state: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&mut __H</a>)</h4></section></summary><div class='docblock'>Feeds this value into the given <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hasher.html" title="trait core::hash::Hasher"><code>Hasher</code></a>. <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html#tymethod.hash">Read more</a></div></details><details class="toggle method-toggle" open><summary><section id="method.hash_slice" class="method trait-impl"><span class="rightside"><span class="since" title="Stable since Rust version 1.3.0">1.3.0</span> · <a class="src" href="https://doc.rust-lang.org/nightly/src/core/hash/mod.rs.html#238-240">source</a></span><a href="#method.hash_slice" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html#method.hash_slice" class="fn">hash_slice</a><H>(data: &<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.slice.html">[Self]</a>, state: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&mut H</a>)<div class="where">where
+</div></details><h2 id="trait-implementations" class="section-header">Trait Implementations<a href="#trait-implementations" class="anchor">§</a></h2><div id="trait-implementations-list"><details class="toggle implementors-toggle" open><summary><section id="impl-Clone-for-Advice" class="impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#23">source</a><a href="#impl-Clone-for-Advice" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a> for <a class="struct" href="struct.Advice.html" title="struct halo2_frontend::plonk::circuit::Advice">Advice</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.clone" class="method trait-impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#23">source</a><a href="#method.clone" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#tymethod.clone" class="fn">clone</a>(&self) -> <a class="struct" href="struct.Advice.html" title="struct halo2_frontend::plonk::circuit::Advice">Advice</a></h4></section></summary><div class='docblock'>Returns a copy of the value. <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#tymethod.clone">Read more</a></div></details><details class="toggle method-toggle" open><summary><section id="method.clone_from" class="method trait-impl"><span class="rightside"><span class="since" title="Stable since Rust version 1.0.0">1.0.0</span> · <a class="src" href="https://doc.rust-lang.org/nightly/src/core/clone.rs.html#169">source</a></span><a href="#method.clone_from" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#method.clone_from" class="fn">clone_from</a>(&mut self, source: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&Self</a>)</h4></section></summary><div class='docblock'>Performs copy-assignment from <code>source</code>. <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#method.clone_from">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-ColumnType-for-Advice" class="impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#34-42">source</a><a href="#impl-ColumnType-for-Advice" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="trait.ColumnType.html" title="trait halo2_frontend::plonk::circuit::ColumnType">ColumnType</a> for <a class="struct" href="struct.Advice.html" title="struct halo2_frontend::plonk::circuit::Advice">Advice</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.query_cell" class="method trait-impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#35-41">source</a><a href="#method.query_cell" class="anchor">§</a><h4 class="code-header">fn <a href="trait.ColumnType.html#tymethod.query_cell" class="fn">query_cell</a><F: Field>(&self, index: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>, at: Rotation) -> <a class="enum" href="expression/enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F></h4></section></summary><div class='docblock'>Return expression from cell</div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-Debug-for-Advice" class="impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#23">source</a><a href="#impl-Debug-for-Advice" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a> for <a class="struct" href="struct.Advice.html" title="struct halo2_frontend::plonk::circuit::Advice">Advice</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.fmt" class="method trait-impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#23">source</a><a href="#method.fmt" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt" class="fn">fmt</a>(&self, f: &mut <a class="struct" href="https://doc.rust-lang.org/nightly/core/fmt/struct.Formatter.html" title="struct core::fmt::Formatter">Formatter</a><'_>) -> <a class="type" href="https://doc.rust-lang.org/nightly/core/fmt/type.Result.html" title="type core::fmt::Result">Result</a></h4></section></summary><div class='docblock'>Formats the value using the given formatter. <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-From%3CAdvice%3E-for-Any" class="impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#83-87">source</a><a href="#impl-From%3CAdvice%3E-for-Any" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html" title="trait core::convert::From">From</a><<a class="struct" href="struct.Advice.html" title="struct halo2_frontend::plonk::circuit::Advice">Advice</a>> for Any</h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.from" class="method trait-impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#84-86">source</a><a href="#method.from" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html#tymethod.from" class="fn">from</a>(_: <a class="struct" href="struct.Advice.html" title="struct halo2_frontend::plonk::circuit::Advice">Advice</a>) -> Any</h4></section></summary><div class='docblock'>Converts to this type from the input type.</div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-Hash-for-Advice" class="impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#23">source</a><a href="#impl-Hash-for-Advice" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html" title="trait core::hash::Hash">Hash</a> for <a class="struct" href="struct.Advice.html" title="struct halo2_frontend::plonk::circuit::Advice">Advice</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.hash" class="method trait-impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#23">source</a><a href="#method.hash" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html#tymethod.hash" class="fn">hash</a><__H: <a class="trait" href="https://doc.rust-lang.org/nightly/core/hash/trait.Hasher.html" title="trait core::hash::Hasher">Hasher</a>>(&self, state: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&mut __H</a>)</h4></section></summary><div class='docblock'>Feeds this value into the given <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hasher.html" title="trait core::hash::Hasher"><code>Hasher</code></a>. <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html#tymethod.hash">Read more</a></div></details><details class="toggle method-toggle" open><summary><section id="method.hash_slice" class="method trait-impl"><span class="rightside"><span class="since" title="Stable since Rust version 1.3.0">1.3.0</span> · <a class="src" href="https://doc.rust-lang.org/nightly/src/core/hash/mod.rs.html#238-240">source</a></span><a href="#method.hash_slice" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html#method.hash_slice" class="fn">hash_slice</a><H>(data: &<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.slice.html">[Self]</a>, state: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&mut H</a>)<div class="where">where
H: <a class="trait" href="https://doc.rust-lang.org/nightly/core/hash/trait.Hasher.html" title="trait core::hash::Hasher">Hasher</a>,
Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,</div></h4></section></summary><div class='docblock'>Feeds a slice of this type into the given <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hasher.html" title="trait core::hash::Hasher"><code>Hasher</code></a>. <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html#method.hash_slice">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-PartialEq-for-Advice" class="impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#23">source</a><a href="#impl-PartialEq-for-Advice" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialEq.html" title="trait core::cmp::PartialEq">PartialEq</a> for <a class="struct" href="struct.Advice.html" title="struct halo2_frontend::plonk::circuit::Advice">Advice</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.eq" class="method trait-impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#23">source</a><a href="#method.eq" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialEq.html#tymethod.eq" class="fn">eq</a>(&self, other: &<a class="struct" href="struct.Advice.html" title="struct halo2_frontend::plonk::circuit::Advice">Advice</a>) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></h4></section></summary><div class='docblock'>This method tests for <code>self</code> and <code>other</code> values to be equal, and is used
by <code>==</code>.</div></details><details class="toggle method-toggle" open><summary><section id="method.ne" class="method trait-impl"><span class="rightside"><span class="since" title="Stable since Rust version 1.0.0">1.0.0</span> · <a class="src" href="https://doc.rust-lang.org/nightly/src/core/cmp.rs.html#263">source</a></span><a href="#method.ne" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialEq.html#method.ne" class="fn">ne</a>(&self, other: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&Rhs</a>) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></h4></section></summary><div class='docblock'>This method tests for <code>!=</code>. The default implementation is almost always
diff --git a/halo2_frontend/plonk/circuit/struct.Fixed.html b/halo2_frontend/plonk/circuit/struct.Fixed.html
index 5f3fe804f1..bf10fa4184 100644
--- a/halo2_frontend/plonk/circuit/struct.Fixed.html
+++ b/halo2_frontend/plonk/circuit/struct.Fixed.html
@@ -15,7 +15,7 @@
</script>
</head><body class="rustdoc struct"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle" title="show sidebar"></button></nav><nav class="sidebar"><div class="sidebar-crate"><h2><a href="../../../halo2_frontend/index.html">halo2_frontend</a><span class="version">0.3.0</span></h2></div><h2 class="location"><a href="#">Fixed</a></h2><div class="sidebar-elems"><section><h3><a href="#trait-implementations">Trait Implementations</a></h3><ul class="block trait-implementation"><li><a href="#impl-Clone-for-Fixed">Clone</a></li><li><a href="#impl-ColumnType-for-Fixed">ColumnType</a></li><li><a href="#impl-Copy-for-Fixed">Copy</a></li><li><a href="#impl-Debug-for-Fixed">Debug</a></li><li><a href="#impl-Eq-for-Fixed">Eq</a></li><li><a href="#impl-From%3CFixed%3E-for-Any">From<Fixed></a></li><li><a href="#impl-Hash-for-Fixed">Hash</a></li><li><a href="#impl-PartialEq-for-Fixed">PartialEq</a></li><li><a href="#impl-StructuralPartialEq-for-Fixed">StructuralPartialEq</a></li></ul><h3><a href="#synthetic-implementations">Auto Trait Implementations</a></h3><ul class="block synthetic-implementation"><li><a href="#impl-Freeze-for-Fixed">Freeze</a></li><li><a href="#impl-RefUnwindSafe-for-Fixed">RefUnwindSafe</a></li><li><a href="#impl-Send-for-Fixed">Send</a></li><li><a href="#impl-Sync-for-Fixed">Sync</a></li><li><a href="#impl-Unpin-for-Fixed">Unpin</a></li><li><a href="#impl-UnwindSafe-for-Fixed">UnwindSafe</a></li></ul><h3><a href="#blanket-implementations">Blanket Implementations</a></h3><ul class="block blanket-implementation"><li><a href="#impl-Any-for-T">Any</a></li><li><a href="#impl-Borrow%3CT%3E-for-T">Borrow<T></a></li><li><a href="#impl-BorrowMut%3CT%3E-for-T">BorrowMut<T></a></li><li><a href="#impl-Conv-for-T">Conv</a></li><li><a href="#impl-FmtForward-for-T">FmtForward</a></li><li><a href="#impl-From%3CT%3E-for-T">From<T></a></li><li><a href="#impl-Instrument-for-T">Instrument</a></li><li><a href="#impl-Into%3CU%3E-for-T">Into<U></a></li><li><a href="#impl-IntoEither-for-T">IntoEither</a></li><li><a href="#impl-Pipe-for-T">Pipe</a></li><li><a href="#impl-Pointable-for-T">Pointable</a></li><li><a href="#impl-SyncDeps-for-T">SyncDeps</a></li><li><a href="#impl-Tap-for-T">Tap</a></li><li><a href="#impl-ToOwned-for-T">ToOwned</a></li><li><a href="#impl-TryConv-for-T">TryConv</a></li><li><a href="#impl-TryFrom%3CU%3E-for-T">TryFrom<U></a></li><li><a href="#impl-TryInto%3CU%3E-for-T">TryInto<U></a></li><li><a href="#impl-VZip%3CV%3E-for-T">VZip<V></a></li><li><a href="#impl-WithSubscriber-for-T">WithSubscriber</a></li></ul></section><h2><a href="index.html">In halo2_frontend::plonk::circuit</a></h2></div></nav><div class="sidebar-resizer"></div><main><div class="width-limiter"><rustdoc-search></rustdoc-search><section id="main-content" class="content"><div class="main-heading"><h1>Struct <a href="../../index.html">halo2_frontend</a>::<wbr><a href="../index.html">plonk</a>::<wbr><a href="index.html">circuit</a>::<wbr><a class="struct" href="#">Fixed</a><button id="copy-path" title="Copy item path to clipboard">Copy item path</button></h1><span class="out-of-band"><a class="src" href="../../../src/halo2_frontend/plonk/circuit.rs.html#28">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>−</span>]</button></span></div><pre class="rust item-decl"><code>pub struct Fixed;</code></pre><details class="toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>A fixed column</p>
-</div></details><h2 id="trait-implementations" class="section-header">Trait Implementations<a href="#trait-implementations" class="anchor">§</a></h2><div id="trait-implementations-list"><details class="toggle implementors-toggle" open><summary><section id="impl-Clone-for-Fixed" class="impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#27">source</a><a href="#impl-Clone-for-Fixed" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a> for <a class="struct" href="struct.Fixed.html" title="struct halo2_frontend::plonk::circuit::Fixed">Fixed</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.clone" class="method trait-impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#27">source</a><a href="#method.clone" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#tymethod.clone" class="fn">clone</a>(&self) -> <a class="struct" href="struct.Fixed.html" title="struct halo2_frontend::plonk::circuit::Fixed">Fixed</a></h4></section></summary><div class='docblock'>Returns a copy of the value. <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#tymethod.clone">Read more</a></div></details><details class="toggle method-toggle" open><summary><section id="method.clone_from" class="method trait-impl"><span class="rightside"><span class="since" title="Stable since Rust version 1.0.0">1.0.0</span> · <a class="src" href="https://doc.rust-lang.org/nightly/src/core/clone.rs.html#169">source</a></span><a href="#method.clone_from" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#method.clone_from" class="fn">clone_from</a>(&mut self, source: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&Self</a>)</h4></section></summary><div class='docblock'>Performs copy-assignment from <code>source</code>. <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#method.clone_from">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-ColumnType-for-Fixed" class="impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#43-51">source</a><a href="#impl-ColumnType-for-Fixed" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="trait.ColumnType.html" title="trait halo2_frontend::plonk::circuit::ColumnType">ColumnType</a> for <a class="struct" href="struct.Fixed.html" title="struct halo2_frontend::plonk::circuit::Fixed">Fixed</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.query_cell" class="method trait-impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#44-50">source</a><a href="#method.query_cell" class="anchor">§</a><h4 class="code-header">fn <a href="trait.ColumnType.html#tymethod.query_cell" class="fn">query_cell</a><F: Field>(&self, index: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>, at: <a class="struct" href="../../../halo2_middleware/poly/struct.Rotation.html" title="struct halo2_middleware::poly::Rotation">Rotation</a>) -> <a class="enum" href="expression/enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F></h4></section></summary><div class='docblock'>Return expression from cell</div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-Debug-for-Fixed" class="impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#27">source</a><a href="#impl-Debug-for-Fixed" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a> for <a class="struct" href="struct.Fixed.html" title="struct halo2_frontend::plonk::circuit::Fixed">Fixed</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.fmt" class="method trait-impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#27">source</a><a href="#method.fmt" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt" class="fn">fmt</a>(&self, f: &mut <a class="struct" href="https://doc.rust-lang.org/nightly/core/fmt/struct.Formatter.html" title="struct core::fmt::Formatter">Formatter</a><'_>) -> <a class="type" href="https://doc.rust-lang.org/nightly/core/fmt/type.Result.html" title="type core::fmt::Result">Result</a></h4></section></summary><div class='docblock'>Formats the value using the given formatter. <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-From%3CFixed%3E-for-Any" class="impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#89-93">source</a><a href="#impl-From%3CFixed%3E-for-Any" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html" title="trait core::convert::From">From</a><<a class="struct" href="struct.Fixed.html" title="struct halo2_frontend::plonk::circuit::Fixed">Fixed</a>> for <a class="enum" href="../../../halo2_middleware/circuit/enum.Any.html" title="enum halo2_middleware::circuit::Any">Any</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.from" class="method trait-impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#90-92">source</a><a href="#method.from" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html#tymethod.from" class="fn">from</a>(_: <a class="struct" href="struct.Fixed.html" title="struct halo2_frontend::plonk::circuit::Fixed">Fixed</a>) -> <a class="enum" href="../../../halo2_middleware/circuit/enum.Any.html" title="enum halo2_middleware::circuit::Any">Any</a></h4></section></summary><div class='docblock'>Converts to this type from the input type.</div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-Hash-for-Fixed" class="impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#27">source</a><a href="#impl-Hash-for-Fixed" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html" title="trait core::hash::Hash">Hash</a> for <a class="struct" href="struct.Fixed.html" title="struct halo2_frontend::plonk::circuit::Fixed">Fixed</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.hash" class="method trait-impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#27">source</a><a href="#method.hash" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html#tymethod.hash" class="fn">hash</a><__H: <a class="trait" href="https://doc.rust-lang.org/nightly/core/hash/trait.Hasher.html" title="trait core::hash::Hasher">Hasher</a>>(&self, state: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&mut __H</a>)</h4></section></summary><div class='docblock'>Feeds this value into the given <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hasher.html" title="trait core::hash::Hasher"><code>Hasher</code></a>. <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html#tymethod.hash">Read more</a></div></details><details class="toggle method-toggle" open><summary><section id="method.hash_slice" class="method trait-impl"><span class="rightside"><span class="since" title="Stable since Rust version 1.3.0">1.3.0</span> · <a class="src" href="https://doc.rust-lang.org/nightly/src/core/hash/mod.rs.html#238-240">source</a></span><a href="#method.hash_slice" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html#method.hash_slice" class="fn">hash_slice</a><H>(data: &<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.slice.html">[Self]</a>, state: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&mut H</a>)<div class="where">where
+</div></details><h2 id="trait-implementations" class="section-header">Trait Implementations<a href="#trait-implementations" class="anchor">§</a></h2><div id="trait-implementations-list"><details class="toggle implementors-toggle" open><summary><section id="impl-Clone-for-Fixed" class="impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#27">source</a><a href="#impl-Clone-for-Fixed" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a> for <a class="struct" href="struct.Fixed.html" title="struct halo2_frontend::plonk::circuit::Fixed">Fixed</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.clone" class="method trait-impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#27">source</a><a href="#method.clone" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#tymethod.clone" class="fn">clone</a>(&self) -> <a class="struct" href="struct.Fixed.html" title="struct halo2_frontend::plonk::circuit::Fixed">Fixed</a></h4></section></summary><div class='docblock'>Returns a copy of the value. <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#tymethod.clone">Read more</a></div></details><details class="toggle method-toggle" open><summary><section id="method.clone_from" class="method trait-impl"><span class="rightside"><span class="since" title="Stable since Rust version 1.0.0">1.0.0</span> · <a class="src" href="https://doc.rust-lang.org/nightly/src/core/clone.rs.html#169">source</a></span><a href="#method.clone_from" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#method.clone_from" class="fn">clone_from</a>(&mut self, source: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&Self</a>)</h4></section></summary><div class='docblock'>Performs copy-assignment from <code>source</code>. <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#method.clone_from">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-ColumnType-for-Fixed" class="impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#43-51">source</a><a href="#impl-ColumnType-for-Fixed" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="trait.ColumnType.html" title="trait halo2_frontend::plonk::circuit::ColumnType">ColumnType</a> for <a class="struct" href="struct.Fixed.html" title="struct halo2_frontend::plonk::circuit::Fixed">Fixed</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.query_cell" class="method trait-impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#44-50">source</a><a href="#method.query_cell" class="anchor">§</a><h4 class="code-header">fn <a href="trait.ColumnType.html#tymethod.query_cell" class="fn">query_cell</a><F: Field>(&self, index: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>, at: Rotation) -> <a class="enum" href="expression/enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F></h4></section></summary><div class='docblock'>Return expression from cell</div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-Debug-for-Fixed" class="impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#27">source</a><a href="#impl-Debug-for-Fixed" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a> for <a class="struct" href="struct.Fixed.html" title="struct halo2_frontend::plonk::circuit::Fixed">Fixed</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.fmt" class="method trait-impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#27">source</a><a href="#method.fmt" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt" class="fn">fmt</a>(&self, f: &mut <a class="struct" href="https://doc.rust-lang.org/nightly/core/fmt/struct.Formatter.html" title="struct core::fmt::Formatter">Formatter</a><'_>) -> <a class="type" href="https://doc.rust-lang.org/nightly/core/fmt/type.Result.html" title="type core::fmt::Result">Result</a></h4></section></summary><div class='docblock'>Formats the value using the given formatter. <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-From%3CFixed%3E-for-Any" class="impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#89-93">source</a><a href="#impl-From%3CFixed%3E-for-Any" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html" title="trait core::convert::From">From</a><<a class="struct" href="struct.Fixed.html" title="struct halo2_frontend::plonk::circuit::Fixed">Fixed</a>> for Any</h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.from" class="method trait-impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#90-92">source</a><a href="#method.from" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html#tymethod.from" class="fn">from</a>(_: <a class="struct" href="struct.Fixed.html" title="struct halo2_frontend::plonk::circuit::Fixed">Fixed</a>) -> Any</h4></section></summary><div class='docblock'>Converts to this type from the input type.</div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-Hash-for-Fixed" class="impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#27">source</a><a href="#impl-Hash-for-Fixed" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html" title="trait core::hash::Hash">Hash</a> for <a class="struct" href="struct.Fixed.html" title="struct halo2_frontend::plonk::circuit::Fixed">Fixed</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.hash" class="method trait-impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#27">source</a><a href="#method.hash" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html#tymethod.hash" class="fn">hash</a><__H: <a class="trait" href="https://doc.rust-lang.org/nightly/core/hash/trait.Hasher.html" title="trait core::hash::Hasher">Hasher</a>>(&self, state: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&mut __H</a>)</h4></section></summary><div class='docblock'>Feeds this value into the given <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hasher.html" title="trait core::hash::Hasher"><code>Hasher</code></a>. <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html#tymethod.hash">Read more</a></div></details><details class="toggle method-toggle" open><summary><section id="method.hash_slice" class="method trait-impl"><span class="rightside"><span class="since" title="Stable since Rust version 1.3.0">1.3.0</span> · <a class="src" href="https://doc.rust-lang.org/nightly/src/core/hash/mod.rs.html#238-240">source</a></span><a href="#method.hash_slice" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html#method.hash_slice" class="fn">hash_slice</a><H>(data: &<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.slice.html">[Self]</a>, state: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&mut H</a>)<div class="where">where
H: <a class="trait" href="https://doc.rust-lang.org/nightly/core/hash/trait.Hasher.html" title="trait core::hash::Hasher">Hasher</a>,
Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,</div></h4></section></summary><div class='docblock'>Feeds a slice of this type into the given <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hasher.html" title="trait core::hash::Hasher"><code>Hasher</code></a>. <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html#method.hash_slice">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-PartialEq-for-Fixed" class="impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#27">source</a><a href="#impl-PartialEq-for-Fixed" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialEq.html" title="trait core::cmp::PartialEq">PartialEq</a> for <a class="struct" href="struct.Fixed.html" title="struct halo2_frontend::plonk::circuit::Fixed">Fixed</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.eq" class="method trait-impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#27">source</a><a href="#method.eq" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialEq.html#tymethod.eq" class="fn">eq</a>(&self, other: &<a class="struct" href="struct.Fixed.html" title="struct halo2_frontend::plonk::circuit::Fixed">Fixed</a>) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></h4></section></summary><div class='docblock'>This method tests for <code>self</code> and <code>other</code> values to be equal, and is used
by <code>==</code>.</div></details><details class="toggle method-toggle" open><summary><section id="method.ne" class="method trait-impl"><span class="rightside"><span class="since" title="Stable since Rust version 1.0.0">1.0.0</span> · <a class="src" href="https://doc.rust-lang.org/nightly/src/core/cmp.rs.html#263">source</a></span><a href="#method.ne" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialEq.html#method.ne" class="fn">ne</a>(&self, other: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&Rhs</a>) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></h4></section></summary><div class='docblock'>This method tests for <code>!=</code>. The default implementation is almost always
diff --git a/halo2_frontend/plonk/circuit/struct.Instance.html b/halo2_frontend/plonk/circuit/struct.Instance.html
index a9bb7a525c..9cde405d3d 100644
--- a/halo2_frontend/plonk/circuit/struct.Instance.html
+++ b/halo2_frontend/plonk/circuit/struct.Instance.html
@@ -15,7 +15,7 @@
</script>
</head><body class="rustdoc struct"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle" title="show sidebar"></button></nav><nav class="sidebar"><div class="sidebar-crate"><h2><a href="../../../halo2_frontend/index.html">halo2_frontend</a><span class="version">0.3.0</span></h2></div><h2 class="location"><a href="#">Instance</a></h2><div class="sidebar-elems"><section><h3><a href="#trait-implementations">Trait Implementations</a></h3><ul class="block trait-implementation"><li><a href="#impl-Clone-for-Instance">Clone</a></li><li><a href="#impl-ColumnType-for-Instance">ColumnType</a></li><li><a href="#impl-Copy-for-Instance">Copy</a></li><li><a href="#impl-Debug-for-Instance">Debug</a></li><li><a href="#impl-Eq-for-Instance">Eq</a></li><li><a href="#impl-From%3CInstance%3E-for-Any">From<Instance></a></li><li><a href="#impl-Hash-for-Instance">Hash</a></li><li><a href="#impl-PartialEq-for-Instance">PartialEq</a></li><li><a href="#impl-StructuralPartialEq-for-Instance">StructuralPartialEq</a></li></ul><h3><a href="#synthetic-implementations">Auto Trait Implementations</a></h3><ul class="block synthetic-implementation"><li><a href="#impl-Freeze-for-Instance">Freeze</a></li><li><a href="#impl-RefUnwindSafe-for-Instance">RefUnwindSafe</a></li><li><a href="#impl-Send-for-Instance">Send</a></li><li><a href="#impl-Sync-for-Instance">Sync</a></li><li><a href="#impl-Unpin-for-Instance">Unpin</a></li><li><a href="#impl-UnwindSafe-for-Instance">UnwindSafe</a></li></ul><h3><a href="#blanket-implementations">Blanket Implementations</a></h3><ul class="block blanket-implementation"><li><a href="#impl-Any-for-T">Any</a></li><li><a href="#impl-Borrow%3CT%3E-for-T">Borrow<T></a></li><li><a href="#impl-BorrowMut%3CT%3E-for-T">BorrowMut<T></a></li><li><a href="#impl-Conv-for-T">Conv</a></li><li><a href="#impl-FmtForward-for-T">FmtForward</a></li><li><a href="#impl-From%3CT%3E-for-T">From<T></a></li><li><a href="#impl-Instrument-for-T">Instrument</a></li><li><a href="#impl-Into%3CU%3E-for-T">Into<U></a></li><li><a href="#impl-IntoEither-for-T">IntoEither</a></li><li><a href="#impl-Pipe-for-T">Pipe</a></li><li><a href="#impl-Pointable-for-T">Pointable</a></li><li><a href="#impl-SyncDeps-for-T">SyncDeps</a></li><li><a href="#impl-Tap-for-T">Tap</a></li><li><a href="#impl-ToOwned-for-T">ToOwned</a></li><li><a href="#impl-TryConv-for-T">TryConv</a></li><li><a href="#impl-TryFrom%3CU%3E-for-T">TryFrom<U></a></li><li><a href="#impl-TryInto%3CU%3E-for-T">TryInto<U></a></li><li><a href="#impl-VZip%3CV%3E-for-T">VZip<V></a></li><li><a href="#impl-WithSubscriber-for-T">WithSubscriber</a></li></ul></section><h2><a href="index.html">In halo2_frontend::plonk::circuit</a></h2></div></nav><div class="sidebar-resizer"></div><main><div class="width-limiter"><rustdoc-search></rustdoc-search><section id="main-content" class="content"><div class="main-heading"><h1>Struct <a href="../../index.html">halo2_frontend</a>::<wbr><a href="../index.html">plonk</a>::<wbr><a href="index.html">circuit</a>::<wbr><a class="struct" href="#">Instance</a><button id="copy-path" title="Copy item path to clipboard">Copy item path</button></h1><span class="out-of-band"><a class="src" href="../../../src/halo2_frontend/plonk/circuit.rs.html#32">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>−</span>]</button></span></div><pre class="rust item-decl"><code>pub struct Instance;</code></pre><details class="toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>An instance column</p>
-</div></details><h2 id="trait-implementations" class="section-header">Trait Implementations<a href="#trait-implementations" class="anchor">§</a></h2><div id="trait-implementations-list"><details class="toggle implementors-toggle" open><summary><section id="impl-Clone-for-Instance" class="impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#31">source</a><a href="#impl-Clone-for-Instance" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a> for <a class="struct" href="struct.Instance.html" title="struct halo2_frontend::plonk::circuit::Instance">Instance</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.clone" class="method trait-impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#31">source</a><a href="#method.clone" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#tymethod.clone" class="fn">clone</a>(&self) -> <a class="struct" href="struct.Instance.html" title="struct halo2_frontend::plonk::circuit::Instance">Instance</a></h4></section></summary><div class='docblock'>Returns a copy of the value. <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#tymethod.clone">Read more</a></div></details><details class="toggle method-toggle" open><summary><section id="method.clone_from" class="method trait-impl"><span class="rightside"><span class="since" title="Stable since Rust version 1.0.0">1.0.0</span> · <a class="src" href="https://doc.rust-lang.org/nightly/src/core/clone.rs.html#169">source</a></span><a href="#method.clone_from" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#method.clone_from" class="fn">clone_from</a>(&mut self, source: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&Self</a>)</h4></section></summary><div class='docblock'>Performs copy-assignment from <code>source</code>. <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#method.clone_from">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-ColumnType-for-Instance" class="impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#52-60">source</a><a href="#impl-ColumnType-for-Instance" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="trait.ColumnType.html" title="trait halo2_frontend::plonk::circuit::ColumnType">ColumnType</a> for <a class="struct" href="struct.Instance.html" title="struct halo2_frontend::plonk::circuit::Instance">Instance</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.query_cell" class="method trait-impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#53-59">source</a><a href="#method.query_cell" class="anchor">§</a><h4 class="code-header">fn <a href="trait.ColumnType.html#tymethod.query_cell" class="fn">query_cell</a><F: Field>(&self, index: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>, at: <a class="struct" href="../../../halo2_middleware/poly/struct.Rotation.html" title="struct halo2_middleware::poly::Rotation">Rotation</a>) -> <a class="enum" href="expression/enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F></h4></section></summary><div class='docblock'>Return expression from cell</div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-Debug-for-Instance" class="impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#31">source</a><a href="#impl-Debug-for-Instance" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a> for <a class="struct" href="struct.Instance.html" title="struct halo2_frontend::plonk::circuit::Instance">Instance</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.fmt" class="method trait-impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#31">source</a><a href="#method.fmt" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt" class="fn">fmt</a>(&self, f: &mut <a class="struct" href="https://doc.rust-lang.org/nightly/core/fmt/struct.Formatter.html" title="struct core::fmt::Formatter">Formatter</a><'_>) -> <a class="type" href="https://doc.rust-lang.org/nightly/core/fmt/type.Result.html" title="type core::fmt::Result">Result</a></h4></section></summary><div class='docblock'>Formats the value using the given formatter. <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-From%3CInstance%3E-for-Any" class="impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#95-99">source</a><a href="#impl-From%3CInstance%3E-for-Any" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html" title="trait core::convert::From">From</a><<a class="struct" href="struct.Instance.html" title="struct halo2_frontend::plonk::circuit::Instance">Instance</a>> for <a class="enum" href="../../../halo2_middleware/circuit/enum.Any.html" title="enum halo2_middleware::circuit::Any">Any</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.from" class="method trait-impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#96-98">source</a><a href="#method.from" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html#tymethod.from" class="fn">from</a>(_: <a class="struct" href="struct.Instance.html" title="struct halo2_frontend::plonk::circuit::Instance">Instance</a>) -> <a class="enum" href="../../../halo2_middleware/circuit/enum.Any.html" title="enum halo2_middleware::circuit::Any">Any</a></h4></section></summary><div class='docblock'>Converts to this type from the input type.</div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-Hash-for-Instance" class="impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#31">source</a><a href="#impl-Hash-for-Instance" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html" title="trait core::hash::Hash">Hash</a> for <a class="struct" href="struct.Instance.html" title="struct halo2_frontend::plonk::circuit::Instance">Instance</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.hash" class="method trait-impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#31">source</a><a href="#method.hash" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html#tymethod.hash" class="fn">hash</a><__H: <a class="trait" href="https://doc.rust-lang.org/nightly/core/hash/trait.Hasher.html" title="trait core::hash::Hasher">Hasher</a>>(&self, state: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&mut __H</a>)</h4></section></summary><div class='docblock'>Feeds this value into the given <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hasher.html" title="trait core::hash::Hasher"><code>Hasher</code></a>. <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html#tymethod.hash">Read more</a></div></details><details class="toggle method-toggle" open><summary><section id="method.hash_slice" class="method trait-impl"><span class="rightside"><span class="since" title="Stable since Rust version 1.3.0">1.3.0</span> · <a class="src" href="https://doc.rust-lang.org/nightly/src/core/hash/mod.rs.html#238-240">source</a></span><a href="#method.hash_slice" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html#method.hash_slice" class="fn">hash_slice</a><H>(data: &<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.slice.html">[Self]</a>, state: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&mut H</a>)<div class="where">where
+</div></details><h2 id="trait-implementations" class="section-header">Trait Implementations<a href="#trait-implementations" class="anchor">§</a></h2><div id="trait-implementations-list"><details class="toggle implementors-toggle" open><summary><section id="impl-Clone-for-Instance" class="impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#31">source</a><a href="#impl-Clone-for-Instance" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a> for <a class="struct" href="struct.Instance.html" title="struct halo2_frontend::plonk::circuit::Instance">Instance</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.clone" class="method trait-impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#31">source</a><a href="#method.clone" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#tymethod.clone" class="fn">clone</a>(&self) -> <a class="struct" href="struct.Instance.html" title="struct halo2_frontend::plonk::circuit::Instance">Instance</a></h4></section></summary><div class='docblock'>Returns a copy of the value. <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#tymethod.clone">Read more</a></div></details><details class="toggle method-toggle" open><summary><section id="method.clone_from" class="method trait-impl"><span class="rightside"><span class="since" title="Stable since Rust version 1.0.0">1.0.0</span> · <a class="src" href="https://doc.rust-lang.org/nightly/src/core/clone.rs.html#169">source</a></span><a href="#method.clone_from" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#method.clone_from" class="fn">clone_from</a>(&mut self, source: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&Self</a>)</h4></section></summary><div class='docblock'>Performs copy-assignment from <code>source</code>. <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#method.clone_from">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-ColumnType-for-Instance" class="impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#52-60">source</a><a href="#impl-ColumnType-for-Instance" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="trait.ColumnType.html" title="trait halo2_frontend::plonk::circuit::ColumnType">ColumnType</a> for <a class="struct" href="struct.Instance.html" title="struct halo2_frontend::plonk::circuit::Instance">Instance</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.query_cell" class="method trait-impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#53-59">source</a><a href="#method.query_cell" class="anchor">§</a><h4 class="code-header">fn <a href="trait.ColumnType.html#tymethod.query_cell" class="fn">query_cell</a><F: Field>(&self, index: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>, at: Rotation) -> <a class="enum" href="expression/enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F></h4></section></summary><div class='docblock'>Return expression from cell</div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-Debug-for-Instance" class="impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#31">source</a><a href="#impl-Debug-for-Instance" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a> for <a class="struct" href="struct.Instance.html" title="struct halo2_frontend::plonk::circuit::Instance">Instance</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.fmt" class="method trait-impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#31">source</a><a href="#method.fmt" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt" class="fn">fmt</a>(&self, f: &mut <a class="struct" href="https://doc.rust-lang.org/nightly/core/fmt/struct.Formatter.html" title="struct core::fmt::Formatter">Formatter</a><'_>) -> <a class="type" href="https://doc.rust-lang.org/nightly/core/fmt/type.Result.html" title="type core::fmt::Result">Result</a></h4></section></summary><div class='docblock'>Formats the value using the given formatter. <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-From%3CInstance%3E-for-Any" class="impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#95-99">source</a><a href="#impl-From%3CInstance%3E-for-Any" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html" title="trait core::convert::From">From</a><<a class="struct" href="struct.Instance.html" title="struct halo2_frontend::plonk::circuit::Instance">Instance</a>> for Any</h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.from" class="method trait-impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#96-98">source</a><a href="#method.from" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/convert/trait.From.html#tymethod.from" class="fn">from</a>(_: <a class="struct" href="struct.Instance.html" title="struct halo2_frontend::plonk::circuit::Instance">Instance</a>) -> Any</h4></section></summary><div class='docblock'>Converts to this type from the input type.</div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-Hash-for-Instance" class="impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#31">source</a><a href="#impl-Hash-for-Instance" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html" title="trait core::hash::Hash">Hash</a> for <a class="struct" href="struct.Instance.html" title="struct halo2_frontend::plonk::circuit::Instance">Instance</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.hash" class="method trait-impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#31">source</a><a href="#method.hash" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html#tymethod.hash" class="fn">hash</a><__H: <a class="trait" href="https://doc.rust-lang.org/nightly/core/hash/trait.Hasher.html" title="trait core::hash::Hasher">Hasher</a>>(&self, state: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&mut __H</a>)</h4></section></summary><div class='docblock'>Feeds this value into the given <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hasher.html" title="trait core::hash::Hasher"><code>Hasher</code></a>. <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html#tymethod.hash">Read more</a></div></details><details class="toggle method-toggle" open><summary><section id="method.hash_slice" class="method trait-impl"><span class="rightside"><span class="since" title="Stable since Rust version 1.3.0">1.3.0</span> · <a class="src" href="https://doc.rust-lang.org/nightly/src/core/hash/mod.rs.html#238-240">source</a></span><a href="#method.hash_slice" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html#method.hash_slice" class="fn">hash_slice</a><H>(data: &<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.slice.html">[Self]</a>, state: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&mut H</a>)<div class="where">where
H: <a class="trait" href="https://doc.rust-lang.org/nightly/core/hash/trait.Hasher.html" title="trait core::hash::Hasher">Hasher</a>,
Self: <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,</div></h4></section></summary><div class='docblock'>Feeds a slice of this type into the given <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hasher.html" title="trait core::hash::Hasher"><code>Hasher</code></a>. <a href="https://doc.rust-lang.org/nightly/core/hash/trait.Hash.html#method.hash_slice">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-PartialEq-for-Instance" class="impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#31">source</a><a href="#impl-PartialEq-for-Instance" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialEq.html" title="trait core::cmp::PartialEq">PartialEq</a> for <a class="struct" href="struct.Instance.html" title="struct halo2_frontend::plonk::circuit::Instance">Instance</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.eq" class="method trait-impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#31">source</a><a href="#method.eq" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialEq.html#tymethod.eq" class="fn">eq</a>(&self, other: &<a class="struct" href="struct.Instance.html" title="struct halo2_frontend::plonk::circuit::Instance">Instance</a>) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></h4></section></summary><div class='docblock'>This method tests for <code>self</code> and <code>other</code> values to be equal, and is used
by <code>==</code>.</div></details><details class="toggle method-toggle" open><summary><section id="method.ne" class="method trait-impl"><span class="rightside"><span class="since" title="Stable since Rust version 1.0.0">1.0.0</span> · <a class="src" href="https://doc.rust-lang.org/nightly/src/core/cmp.rs.html#263">source</a></span><a href="#method.ne" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialEq.html#method.ne" class="fn">ne</a>(&self, other: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&Rhs</a>) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.bool.html">bool</a></h4></section></summary><div class='docblock'>This method tests for <code>!=</code>. The default implementation is almost always
diff --git a/halo2_frontend/plonk/circuit/trait.Assignment.html b/halo2_frontend/plonk/circuit/trait.Assignment.html
index 82da2af01c..e8c89070c8 100644
--- a/halo2_frontend/plonk/circuit/trait.Assignment.html
+++ b/halo2_frontend/plonk/circuit/trait.Assignment.html
@@ -19,7 +19,7 @@
fn <a href="#tymethod.enter_region" class="fn">enter_region</a><NR, N>(&mut self, name_fn: N)
<span class="where">where NR: <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.Into.html" title="trait core::convert::Into">Into</a><<a class="struct" href="https://doc.rust-lang.org/nightly/alloc/string/struct.String.html" title="struct alloc::string::String">String</a>>,
N: <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/function/trait.FnOnce.html" title="trait core::ops::function::FnOnce">FnOnce</a>() -> NR</span>;
-<span class="item-spacer"></span> fn <a href="#tymethod.annotate_column" class="fn">annotate_column</a><A, AR>(&mut self, annotation: A, column: <a class="struct" href="expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="enum" href="../../../halo2_middleware/circuit/enum.Any.html" title="enum halo2_middleware::circuit::Any">Any</a>>)
+<span class="item-spacer"></span> fn <a href="#tymethod.annotate_column" class="fn">annotate_column</a><A, AR>(&mut self, annotation: A, column: <a class="struct" href="expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><Any>)
<span class="where">where A: <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/function/trait.FnOnce.html" title="trait core::ops::function::FnOnce">FnOnce</a>() -> AR,
AR: <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.Into.html" title="trait core::convert::Into">Into</a><<a class="struct" href="https://doc.rust-lang.org/nightly/alloc/string/struct.String.html" title="struct alloc::string::String">String</a>></span>;
<span class="item-spacer"></span> fn <a href="#tymethod.exit_region" class="fn">exit_region</a>(&mut self);
@@ -60,9 +60,9 @@
AR: <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.Into.html" title="trait core::convert::Into">Into</a><<a class="struct" href="https://doc.rust-lang.org/nightly/alloc/string/struct.String.html" title="struct alloc::string::String">String</a>></span>;
<span class="item-spacer"></span> fn <a href="#tymethod.copy" class="fn">copy</a>(
&mut self,
- left_column: <a class="struct" href="expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="enum" href="../../../halo2_middleware/circuit/enum.Any.html" title="enum halo2_middleware::circuit::Any">Any</a>>,
+ left_column: <a class="struct" href="expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><Any>,
left_row: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>,
- right_column: <a class="struct" href="expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="enum" href="../../../halo2_middleware/circuit/enum.Any.html" title="enum halo2_middleware::circuit::Any">Any</a>>,
+ right_column: <a class="struct" href="expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><Any>,
right_row: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>
) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a><<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.unit.html">()</a>, <a class="enum" href="../error/enum.Error.html" title="enum halo2_frontend::plonk::error::Error">Error</a>>;
<span class="item-spacer"></span> fn <a href="#tymethod.fill_from_row" class="fn">fill_from_row</a>(
@@ -83,7 +83,7 @@
N: <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/function/trait.FnOnce.html" title="trait core::ops::function::FnOnce">FnOnce</a>() -> NR,</div></h4></section></summary><div class="docblock"><p>Creates a new region and enters into it.</p>
<p>Panics if we are currently in a region (if <code>exit_region</code> was not called).</p>
<p>Not intended for downstream consumption; use <a href="../../circuit/trait.Layouter.html#method.assign_region" title="trait halo2_frontend::circuit::Layouter"><code>Layouter::assign_region</code></a> instead.</p>
-</div></details><details class="toggle method-toggle" open><summary><section id="tymethod.annotate_column" class="method"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#119-122">source</a><h4 class="code-header">fn <a href="#tymethod.annotate_column" class="fn">annotate_column</a><A, AR>(&mut self, annotation: A, column: <a class="struct" href="expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="enum" href="../../../halo2_middleware/circuit/enum.Any.html" title="enum halo2_middleware::circuit::Any">Any</a>>)<div class="where">where
+</div></details><details class="toggle method-toggle" open><summary><section id="tymethod.annotate_column" class="method"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#119-122">source</a><h4 class="code-header">fn <a href="#tymethod.annotate_column" class="fn">annotate_column</a><A, AR>(&mut self, annotation: A, column: <a class="struct" href="expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><Any>)<div class="where">where
A: <a class="trait" href="https://doc.rust-lang.org/nightly/core/ops/function/trait.FnOnce.html" title="trait core::ops::function::FnOnce">FnOnce</a>() -> AR,
AR: <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.Into.html" title="trait core::convert::Into">Into</a><<a class="struct" href="https://doc.rust-lang.org/nightly/alloc/string/struct.String.html" title="struct alloc::string::String">String</a>>,</div></h4></section></summary><div class="docblock"><p>Allows the developer to include an annotation for an specific column within a <code>Region</code>.</p>
<p>This is usually useful for debugging circuit failures.</p>
@@ -128,9 +128,9 @@
AR: <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.Into.html" title="trait core::convert::Into">Into</a><<a class="struct" href="https://doc.rust-lang.org/nightly/alloc/string/struct.String.html" title="struct alloc::string::String">String</a>>,</div></h4></section></summary><div class="docblock"><p>Assign a fixed value</p>
</div></details><details class="toggle method-toggle" open><summary><section id="tymethod.copy" class="method"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#178-184">source</a><h4 class="code-header">fn <a href="#tymethod.copy" class="fn">copy</a>(
&mut self,
- left_column: <a class="struct" href="expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="enum" href="../../../halo2_middleware/circuit/enum.Any.html" title="enum halo2_middleware::circuit::Any">Any</a>>,
+ left_column: <a class="struct" href="expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><Any>,
left_row: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>,
- right_column: <a class="struct" href="expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="enum" href="../../../halo2_middleware/circuit/enum.Any.html" title="enum halo2_middleware::circuit::Any">Any</a>>,
+ right_column: <a class="struct" href="expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><Any>,
right_row: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>
) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a><<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.unit.html">()</a>, <a class="enum" href="../error/enum.Error.html" title="enum halo2_frontend::plonk::error::Error">Error</a>></h4></section></summary><div class="docblock"><p>Assign two cells to have the same value</p>
</div></details><details class="toggle method-toggle" open><summary><section id="tymethod.fill_from_row" class="method"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#187-192">source</a><h4 class="code-header">fn <a href="#tymethod.fill_from_row" class="fn">fill_from_row</a>(
diff --git a/halo2_frontend/plonk/circuit/trait.ColumnType.html b/halo2_frontend/plonk/circuit/trait.ColumnType.html
index 6f7c33bf19..5ca9eb8001 100644
--- a/halo2_frontend/plonk/circuit/trait.ColumnType.html
+++ b/halo2_frontend/plonk/circuit/trait.ColumnType.html
@@ -14,9 +14,9 @@
});
</script>
-</head><body class="rustdoc trait"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle" title="show sidebar"></button></nav><nav class="sidebar"><div class="sidebar-crate"><h2><a href="../../../halo2_frontend/index.html">halo2_frontend</a><span class="version">0.3.0</span></h2></div><h2 class="location"><a href="#">ColumnType</a></h2><div class="sidebar-elems"><section><h3><a href="#required-methods">Required Methods</a></h3><ul class="block"><li><a href="#tymethod.query_cell">query_cell</a></li></ul><h3><a href="#foreign-impls">Implementations on Foreign Types</a></h3><ul class="block"><li><a href="#impl-ColumnType-for-Any">Any</a></li></ul><h3><a href="#object-safety">Object Safety</a></h3><h3><a href="#implementors">Implementors</a></h3></section><h2><a href="index.html">In halo2_frontend::plonk::circuit</a></h2></div></nav><div class="sidebar-resizer"></div><main><div class="width-limiter"><rustdoc-search></rustdoc-search><section id="main-content" class="content"><div class="main-heading"><h1>Trait <a href="../../index.html">halo2_frontend</a>::<wbr><a href="../index.html">plonk</a>::<wbr><a href="index.html">circuit</a>::<wbr><a class="trait" href="#">ColumnType</a><button id="copy-path" title="Copy item path to clipboard">Copy item path</button></h1><span class="out-of-band"><a class="src" href="../../../src/halo2_frontend/plonk/circuit.rs.html#15-20">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>−</span>]</button></span></div><pre class="rust item-decl"><code>pub trait ColumnType: 'static + <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a> + <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Copy.html" title="trait core::marker::Copy">Copy</a> + <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a> + <a class="trait" href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialEq.html" title="trait core::cmp::PartialEq">PartialEq</a> + <a class="trait" href="https://doc.rust-lang.org/nightly/core/cmp/trait.Eq.html" title="trait core::cmp::Eq">Eq</a> + <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.Into.html" title="trait core::convert::Into">Into</a><<a class="enum" href="../../../halo2_middleware/circuit/enum.Any.html" title="enum halo2_middleware::circuit::Any">Any</a>> {
+</head><body class="rustdoc trait"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle" title="show sidebar"></button></nav><nav class="sidebar"><div class="sidebar-crate"><h2><a href="../../../halo2_frontend/index.html">halo2_frontend</a><span class="version">0.3.0</span></h2></div><h2 class="location"><a href="#">ColumnType</a></h2><div class="sidebar-elems"><section><h3><a href="#required-methods">Required Methods</a></h3><ul class="block"><li><a href="#tymethod.query_cell">query_cell</a></li></ul><h3><a href="#foreign-impls">Implementations on Foreign Types</a></h3><ul class="block"><li><a href="#impl-ColumnType-for-Any">Any</a></li></ul><h3><a href="#object-safety">Object Safety</a></h3><h3><a href="#implementors">Implementors</a></h3></section><h2><a href="index.html">In halo2_frontend::plonk::circuit</a></h2></div></nav><div class="sidebar-resizer"></div><main><div class="width-limiter"><rustdoc-search></rustdoc-search><section id="main-content" class="content"><div class="main-heading"><h1>Trait <a href="../../index.html">halo2_frontend</a>::<wbr><a href="../index.html">plonk</a>::<wbr><a href="index.html">circuit</a>::<wbr><a class="trait" href="#">ColumnType</a><button id="copy-path" title="Copy item path to clipboard">Copy item path</button></h1><span class="out-of-band"><a class="src" href="../../../src/halo2_frontend/plonk/circuit.rs.html#15-20">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>−</span>]</button></span></div><pre class="rust item-decl"><code>pub trait ColumnType: 'static + <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a> + <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Copy.html" title="trait core::marker::Copy">Copy</a> + <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a> + <a class="trait" href="https://doc.rust-lang.org/nightly/core/cmp/trait.PartialEq.html" title="trait core::cmp::PartialEq">PartialEq</a> + <a class="trait" href="https://doc.rust-lang.org/nightly/core/cmp/trait.Eq.html" title="trait core::cmp::Eq">Eq</a> + <a class="trait" href="https://doc.rust-lang.org/nightly/core/convert/trait.Into.html" title="trait core::convert::Into">Into</a><Any> {
// Required method
- fn <a href="#tymethod.query_cell" class="fn">query_cell</a><F: Field>(&self, index: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>, at: <a class="struct" href="../../../halo2_middleware/poly/struct.Rotation.html" title="struct halo2_middleware::poly::Rotation">Rotation</a>) -> <a class="enum" href="expression/enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F>;
+ fn <a href="#tymethod.query_cell" class="fn">query_cell</a><F: Field>(&self, index: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>, at: Rotation) -> <a class="enum" href="expression/enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F>;
}</code></pre><details class="toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>A column type</p>
-</div></details><h2 id="required-methods" class="section-header">Required Methods<a href="#required-methods" class="anchor">§</a></h2><div class="methods"><details class="toggle method-toggle" open><summary><section id="tymethod.query_cell" class="method"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#19">source</a><h4 class="code-header">fn <a href="#tymethod.query_cell" class="fn">query_cell</a><F: Field>(&self, index: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>, at: <a class="struct" href="../../../halo2_middleware/poly/struct.Rotation.html" title="struct halo2_middleware::poly::Rotation">Rotation</a>) -> <a class="enum" href="expression/enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F></h4></section></summary><div class="docblock"><p>Return expression from cell</p>
-</div></details></div><h2 id="object-safety" class="section-header">Object Safety<a href="#object-safety" class="anchor">§</a></h2><div class="object-safety-info">This trait is <b>not</b> <a href="https://doc.rust-lang.org/nightly/reference/items/traits.html#object-safety">object safe</a>.</div><h2 id="foreign-impls" class="section-header">Implementations on Foreign Types<a href="#foreign-impls" class="anchor">§</a></h2><details class="toggle implementors-toggle"><summary><section id="impl-ColumnType-for-Any" class="impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#61-81">source</a><a href="#impl-ColumnType-for-Any" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="trait.ColumnType.html" title="trait halo2_frontend::plonk::circuit::ColumnType">ColumnType</a> for <a class="enum" href="../../../halo2_middleware/circuit/enum.Any.html" title="enum halo2_middleware::circuit::Any">Any</a></h3></section></summary><div class="impl-items"><section id="method.query_cell" class="method trait-impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#62-80">source</a><a href="#method.query_cell" class="anchor">§</a><h4 class="code-header">fn <a href="#tymethod.query_cell" class="fn">query_cell</a><F: Field>(&self, index: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>, at: <a class="struct" href="../../../halo2_middleware/poly/struct.Rotation.html" title="struct halo2_middleware::poly::Rotation">Rotation</a>) -> <a class="enum" href="expression/enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F></h4></section></div></details><h2 id="implementors" class="section-header">Implementors<a href="#implementors" class="anchor">§</a></h2><div id="implementors-list"><section id="impl-ColumnType-for-Advice" class="impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#34-42">source</a><a href="#impl-ColumnType-for-Advice" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="trait.ColumnType.html" title="trait halo2_frontend::plonk::circuit::ColumnType">ColumnType</a> for <a class="struct" href="struct.Advice.html" title="struct halo2_frontend::plonk::circuit::Advice">Advice</a></h3></section><section id="impl-ColumnType-for-Fixed" class="impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#43-51">source</a><a href="#impl-ColumnType-for-Fixed" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="trait.ColumnType.html" title="trait halo2_frontend::plonk::circuit::ColumnType">ColumnType</a> for <a class="struct" href="struct.Fixed.html" title="struct halo2_frontend::plonk::circuit::Fixed">Fixed</a></h3></section><section id="impl-ColumnType-for-Instance" class="impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#52-60">source</a><a href="#impl-ColumnType-for-Instance" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="trait.ColumnType.html" title="trait halo2_frontend::plonk::circuit::ColumnType">ColumnType</a> for <a class="struct" href="struct.Instance.html" title="struct halo2_frontend::plonk::circuit::Instance">Instance</a></h3></section></div><script src="../../../trait.impl/halo2_frontend/plonk/circuit/trait.ColumnType.js" data-ignore-extern-crates="halo2_middleware" async></script></section></div></main></body></html>
\ No newline at end of file
+</div></details><h2 id="required-methods" class="section-header">Required Methods<a href="#required-methods" class="anchor">§</a></h2><div class="methods"><details class="toggle method-toggle" open><summary><section id="tymethod.query_cell" class="method"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#19">source</a><h4 class="code-header">fn <a href="#tymethod.query_cell" class="fn">query_cell</a><F: Field>(&self, index: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>, at: Rotation) -> <a class="enum" href="expression/enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F></h4></section></summary><div class="docblock"><p>Return expression from cell</p>
+</div></details></div><h2 id="object-safety" class="section-header">Object Safety<a href="#object-safety" class="anchor">§</a></h2><div class="object-safety-info">This trait is <b>not</b> <a href="https://doc.rust-lang.org/nightly/reference/items/traits.html#object-safety">object safe</a>.</div><h2 id="foreign-impls" class="section-header">Implementations on Foreign Types<a href="#foreign-impls" class="anchor">§</a></h2><details class="toggle implementors-toggle"><summary><section id="impl-ColumnType-for-Any" class="impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#61-81">source</a><a href="#impl-ColumnType-for-Any" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="trait.ColumnType.html" title="trait halo2_frontend::plonk::circuit::ColumnType">ColumnType</a> for Any</h3></section></summary><div class="impl-items"><section id="method.query_cell" class="method trait-impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#62-80">source</a><a href="#method.query_cell" class="anchor">§</a><h4 class="code-header">fn <a href="#tymethod.query_cell" class="fn">query_cell</a><F: Field>(&self, index: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.usize.html">usize</a>, at: Rotation) -> <a class="enum" href="expression/enum.Expression.html" title="enum halo2_frontend::plonk::circuit::expression::Expression">Expression</a><F></h4></section></div></details><h2 id="implementors" class="section-header">Implementors<a href="#implementors" class="anchor">§</a></h2><div id="implementors-list"><section id="impl-ColumnType-for-Advice" class="impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#34-42">source</a><a href="#impl-ColumnType-for-Advice" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="trait.ColumnType.html" title="trait halo2_frontend::plonk::circuit::ColumnType">ColumnType</a> for <a class="struct" href="struct.Advice.html" title="struct halo2_frontend::plonk::circuit::Advice">Advice</a></h3></section><section id="impl-ColumnType-for-Fixed" class="impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#43-51">source</a><a href="#impl-ColumnType-for-Fixed" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="trait.ColumnType.html" title="trait halo2_frontend::plonk::circuit::ColumnType">ColumnType</a> for <a class="struct" href="struct.Fixed.html" title="struct halo2_frontend::plonk::circuit::Fixed">Fixed</a></h3></section><section id="impl-ColumnType-for-Instance" class="impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/circuit.rs.html#52-60">source</a><a href="#impl-ColumnType-for-Instance" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="trait.ColumnType.html" title="trait halo2_frontend::plonk::circuit::ColumnType">ColumnType</a> for <a class="struct" href="struct.Instance.html" title="struct halo2_frontend::plonk::circuit::Instance">Instance</a></h3></section></div><script src="../../../trait.impl/halo2_frontend/plonk/circuit/trait.ColumnType.js" data-ignore-extern-crates="halo2_middleware" async></script></section></div></main></body></html>
\ No newline at end of file
diff --git a/halo2_frontend/plonk/error/enum.Error.html b/halo2_frontend/plonk/error/enum.Error.html
index d99ce62494..bda1589a90 100644
--- a/halo2_frontend/plonk/error/enum.Error.html
+++ b/halo2_frontend/plonk/error/enum.Error.html
@@ -21,7 +21,7 @@
current_k: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u32.html">u32</a>,
},
NotEnoughColumnsForConstants,
- ColumnNotInPermutation(<a class="struct" href="../circuit/expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="enum" href="../../../halo2_middleware/circuit/enum.Any.html" title="enum halo2_middleware::circuit::Any">Any</a>>),
+ ColumnNotInPermutation(<a class="struct" href="../circuit/expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><Any>),
TableError(<a class="enum" href="enum.TableError.html" title="enum halo2_frontend::plonk::error::TableError">TableError</a>),
Other(<a class="struct" href="https://doc.rust-lang.org/nightly/alloc/string/struct.String.html" title="struct alloc::string::String">String</a>),
}</code></pre><details class="toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>This is an error that could occur during circuit synthesis.</p>
@@ -32,7 +32,7 @@
</div><div class="sub-variant" id="variant.NotEnoughRowsAvailable.fields"><h4>Fields</h4><div class="sub-variant-field"><span id="variant.NotEnoughRowsAvailable.field.current_k" class="section-header"><a href="#variant.NotEnoughRowsAvailable.field.current_k" class="anchor field">§</a><code>current_k: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u32.html">u32</a></code></span><div class="docblock"><p>The current value of <code>k</code> being used.</p>
</div></div></div><section id="variant.NotEnoughColumnsForConstants" class="variant"><a href="#variant.NotEnoughColumnsForConstants" class="anchor">§</a><h3 class="code-header">NotEnoughColumnsForConstants</h3></section><div class="docblock"><p>Circuit synthesis requires global constants, but circuit configuration did not
call <a href="../circuit/constraint_system/struct.ConstraintSystem.html#method.enable_constant" title="method halo2_frontend::plonk::circuit::constraint_system::ConstraintSystem::enable_constant"><code>ConstraintSystem::enable_constant</code></a> on fixed columns with sufficient space.</p>
-</div><section id="variant.ColumnNotInPermutation" class="variant"><a href="#variant.ColumnNotInPermutation" class="anchor">§</a><h3 class="code-header">ColumnNotInPermutation(<a class="struct" href="../circuit/expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="enum" href="../../../halo2_middleware/circuit/enum.Any.html" title="enum halo2_middleware::circuit::Any">Any</a>>)</h3></section><div class="docblock"><p>The instance sets up a copy constraint involving a column that has not been
+</div><section id="variant.ColumnNotInPermutation" class="variant"><a href="#variant.ColumnNotInPermutation" class="anchor">§</a><h3 class="code-header">ColumnNotInPermutation(<a class="struct" href="../circuit/expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><Any>)</h3></section><div class="docblock"><p>The instance sets up a copy constraint involving a column that has not been
included in the permutation.</p>
</div><section id="variant.TableError" class="variant"><a href="#variant.TableError" class="anchor">§</a><h3 class="code-header">TableError(<a class="enum" href="enum.TableError.html" title="enum halo2_frontend::plonk::error::TableError">TableError</a>)</h3></section><div class="docblock"><p>An error relating to a lookup table.</p>
</div><section id="variant.Other" class="variant"><a href="#variant.Other" class="anchor">§</a><h3 class="code-header">Other(<a class="struct" href="https://doc.rust-lang.org/nightly/alloc/string/struct.String.html" title="struct alloc::string::String">String</a>)</h3></section><div class="docblock"><p>Generic error not covered by previous cases</p>
diff --git a/halo2_frontend/plonk/permutation/struct.Argument.html b/halo2_frontend/plonk/permutation/struct.Argument.html
index 971bbb65bd..dcf03ea901 100644
--- a/halo2_frontend/plonk/permutation/struct.Argument.html
+++ b/halo2_frontend/plonk/permutation/struct.Argument.html
@@ -15,7 +15,7 @@
</script>
</head><body class="rustdoc struct"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle" title="show sidebar"></button></nav><nav class="sidebar"><div class="sidebar-crate"><h2><a href="../../../halo2_frontend/index.html">halo2_frontend</a><span class="version">0.3.0</span></h2></div><h2 class="location"><a href="#">Argument</a></h2><div class="sidebar-elems"><section><h3><a href="#implementations">Methods</a></h3><ul class="block method"><li><a href="#method.get_columns">get_columns</a></li></ul><h3><a href="#trait-implementations">Trait Implementations</a></h3><ul class="block trait-implementation"><li><a href="#impl-Clone-for-Argument">Clone</a></li><li><a href="#impl-Debug-for-Argument">Debug</a></li><li><a href="#impl-Default-for-Argument">Default</a></li></ul><h3><a href="#synthetic-implementations">Auto Trait Implementations</a></h3><ul class="block synthetic-implementation"><li><a href="#impl-Freeze-for-Argument">Freeze</a></li><li><a href="#impl-RefUnwindSafe-for-Argument">RefUnwindSafe</a></li><li><a href="#impl-Send-for-Argument">Send</a></li><li><a href="#impl-Sync-for-Argument">Sync</a></li><li><a href="#impl-Unpin-for-Argument">Unpin</a></li><li><a href="#impl-UnwindSafe-for-Argument">UnwindSafe</a></li></ul><h3><a href="#blanket-implementations">Blanket Implementations</a></h3><ul class="block blanket-implementation"><li><a href="#impl-Any-for-T">Any</a></li><li><a href="#impl-Borrow%3CT%3E-for-T">Borrow<T></a></li><li><a href="#impl-BorrowMut%3CT%3E-for-T">BorrowMut<T></a></li><li><a href="#impl-Conv-for-T">Conv</a></li><li><a href="#impl-FmtForward-for-T">FmtForward</a></li><li><a href="#impl-From%3CT%3E-for-T">From<T></a></li><li><a href="#impl-Instrument-for-T">Instrument</a></li><li><a href="#impl-Into%3CU%3E-for-T">Into<U></a></li><li><a href="#impl-IntoEither-for-T">IntoEither</a></li><li><a href="#impl-Pipe-for-T">Pipe</a></li><li><a href="#impl-Pointable-for-T">Pointable</a></li><li><a href="#impl-SyncDeps-for-T">SyncDeps</a></li><li><a href="#impl-Tap-for-T">Tap</a></li><li><a href="#impl-ToOwned-for-T">ToOwned</a></li><li><a href="#impl-TryConv-for-T">TryConv</a></li><li><a href="#impl-TryFrom%3CU%3E-for-T">TryFrom<U></a></li><li><a href="#impl-TryInto%3CU%3E-for-T">TryInto<U></a></li><li><a href="#impl-VZip%3CV%3E-for-T">VZip<V></a></li><li><a href="#impl-WithSubscriber-for-T">WithSubscriber</a></li></ul></section><h2><a href="index.html">In halo2_frontend::plonk::permutation</a></h2></div></nav><div class="sidebar-resizer"></div><main><div class="width-limiter"><rustdoc-search></rustdoc-search><section id="main-content" class="content"><div class="main-heading"><h1>Struct <a href="../../index.html">halo2_frontend</a>::<wbr><a href="../index.html">plonk</a>::<wbr><a href="index.html">permutation</a>::<wbr><a class="struct" href="#">Argument</a><button id="copy-path" title="Copy item path to clipboard">Copy item path</button></h1><span class="out-of-band"><a class="src" href="../../../src/halo2_frontend/plonk/permutation.rs.html#8-11">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>−</span>]</button></span></div><pre class="rust item-decl"><code>pub struct Argument { <span class="comment">/* private fields */</span> }</code></pre><details class="toggle top-doc" open><summary class="hideme"><span>Expand description</span></summary><div class="docblock"><p>A permutation argument.</p>
-</div></details><h2 id="implementations" class="section-header">Implementations<a href="#implementations" class="anchor">§</a></h2><div id="implementations-list"><details class="toggle implementors-toggle" open><summary><section id="impl-Argument" class="impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/permutation.rs.html#13-62">source</a><a href="#impl-Argument" class="anchor">§</a><h3 class="code-header">impl <a class="struct" href="struct.Argument.html" title="struct halo2_frontend::plonk::permutation::Argument">Argument</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.get_columns" class="method"><a class="src rightside" href="../../../src/halo2_frontend/plonk/permutation.rs.html#59-61">source</a><h4 class="code-header">pub fn <a href="#method.get_columns" class="fn">get_columns</a>(&self) -> <a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a><<a class="struct" href="../circuit/expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><<a class="enum" href="../../../halo2_middleware/circuit/enum.Any.html" title="enum halo2_middleware::circuit::Any">Any</a>>></h4></section></summary><div class="docblock"><p>Returns columns that participate on the permutation argument.</p>
+</div></details><h2 id="implementations" class="section-header">Implementations<a href="#implementations" class="anchor">§</a></h2><div id="implementations-list"><details class="toggle implementors-toggle" open><summary><section id="impl-Argument" class="impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/permutation.rs.html#13-62">source</a><a href="#impl-Argument" class="anchor">§</a><h3 class="code-header">impl <a class="struct" href="struct.Argument.html" title="struct halo2_frontend::plonk::permutation::Argument">Argument</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.get_columns" class="method"><a class="src rightside" href="../../../src/halo2_frontend/plonk/permutation.rs.html#59-61">source</a><h4 class="code-header">pub fn <a href="#method.get_columns" class="fn">get_columns</a>(&self) -> <a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a><<a class="struct" href="../circuit/expression/struct.Column.html" title="struct halo2_frontend::plonk::circuit::expression::Column">Column</a><Any>></h4></section></summary><div class="docblock"><p>Returns columns that participate on the permutation argument.</p>
</div></details></div></details></div><h2 id="trait-implementations" class="section-header">Trait Implementations<a href="#trait-implementations" class="anchor">§</a></h2><div id="trait-implementations-list"><details class="toggle implementors-toggle" open><summary><section id="impl-Clone-for-Argument" class="impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/permutation.rs.html#7">source</a><a href="#impl-Clone-for-Argument" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a> for <a class="struct" href="struct.Argument.html" title="struct halo2_frontend::plonk::permutation::Argument">Argument</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.clone" class="method trait-impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/permutation.rs.html#7">source</a><a href="#method.clone" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#tymethod.clone" class="fn">clone</a>(&self) -> <a class="struct" href="struct.Argument.html" title="struct halo2_frontend::plonk::permutation::Argument">Argument</a></h4></section></summary><div class='docblock'>Returns a copy of the value. <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#tymethod.clone">Read more</a></div></details><details class="toggle method-toggle" open><summary><section id="method.clone_from" class="method trait-impl"><span class="rightside"><span class="since" title="Stable since Rust version 1.0.0">1.0.0</span> · <a class="src" href="https://doc.rust-lang.org/nightly/src/core/clone.rs.html#169">source</a></span><a href="#method.clone_from" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#method.clone_from" class="fn">clone_from</a>(&mut self, source: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&Self</a>)</h4></section></summary><div class='docblock'>Performs copy-assignment from <code>source</code>. <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#method.clone_from">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-Debug-for-Argument" class="impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/permutation.rs.html#7">source</a><a href="#impl-Debug-for-Argument" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a> for <a class="struct" href="struct.Argument.html" title="struct halo2_frontend::plonk::permutation::Argument">Argument</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.fmt" class="method trait-impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/permutation.rs.html#7">source</a><a href="#method.fmt" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt" class="fn">fmt</a>(&self, f: &mut <a class="struct" href="https://doc.rust-lang.org/nightly/core/fmt/struct.Formatter.html" title="struct core::fmt::Formatter">Formatter</a><'_>) -> <a class="type" href="https://doc.rust-lang.org/nightly/core/fmt/type.Result.html" title="type core::fmt::Result">Result</a></h4></section></summary><div class='docblock'>Formats the value using the given formatter. <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt">Read more</a></div></details></div></details><details class="toggle implementors-toggle" open><summary><section id="impl-Default-for-Argument" class="impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/permutation.rs.html#7">source</a><a href="#impl-Default-for-Argument" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/default/trait.Default.html" title="trait core::default::Default">Default</a> for <a class="struct" href="struct.Argument.html" title="struct halo2_frontend::plonk::permutation::Argument">Argument</a></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.default" class="method trait-impl"><a class="src rightside" href="../../../src/halo2_frontend/plonk/permutation.rs.html#7">source</a><a href="#method.default" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/default/trait.Default.html#tymethod.default" class="fn">default</a>() -> <a class="struct" href="struct.Argument.html" title="struct halo2_frontend::plonk::permutation::Argument">Argument</a></h4></section></summary><div class='docblock'>Returns the “default value” for a type. <a href="https://doc.rust-lang.org/nightly/core/default/trait.Default.html#tymethod.default">Read more</a></div></details></div></details></div><h2 id="synthetic-implementations" class="section-header">Auto Trait Implementations<a href="#synthetic-implementations" class="anchor">§</a></h2><div id="synthetic-implementations-list"><section id="impl-Freeze-for-Argument" class="impl"><a href="#impl-Freeze-for-Argument" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Freeze.html" title="trait core::marker::Freeze">Freeze</a> for <a class="struct" href="struct.Argument.html" title="struct halo2_frontend::plonk::permutation::Argument">Argument</a></h3></section><section id="impl-RefUnwindSafe-for-Argument" class="impl"><a href="#impl-RefUnwindSafe-for-Argument" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/panic/unwind_safe/trait.RefUnwindSafe.html" title="trait core::panic::unwind_safe::RefUnwindSafe">RefUnwindSafe</a> for <a class="struct" href="struct.Argument.html" title="struct halo2_frontend::plonk::permutation::Argument">Argument</a></h3></section><section id="impl-Send-for-Argument" class="impl"><a href="#impl-Send-for-Argument" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Send.html" title="trait core::marker::Send">Send</a> for <a class="struct" href="struct.Argument.html" title="struct halo2_frontend::plonk::permutation::Argument">Argument</a></h3></section><section id="impl-Sync-for-Argument" class="impl"><a href="#impl-Sync-for-Argument" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sync.html" title="trait core::marker::Sync">Sync</a> for <a class="struct" href="struct.Argument.html" title="struct halo2_frontend::plonk::permutation::Argument">Argument</a></h3></section><section id="impl-Unpin-for-Argument" class="impl"><a href="#impl-Unpin-for-Argument" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Unpin.html" title="trait core::marker::Unpin">Unpin</a> for <a class="struct" href="struct.Argument.html" title="struct halo2_frontend::plonk::permutation::Argument">Argument</a></h3></section><section id="impl-UnwindSafe-for-Argument" class="impl"><a href="#impl-UnwindSafe-for-Argument" class="anchor">§</a><h3 class="code-header">impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/panic/unwind_safe/trait.UnwindSafe.html" title="trait core::panic::unwind_safe::UnwindSafe">UnwindSafe</a> for <a class="struct" href="struct.Argument.html" title="struct halo2_frontend::plonk::permutation::Argument">Argument</a></h3></section></div><h2 id="blanket-implementations" class="section-header">Blanket Implementations<a href="#blanket-implementations" class="anchor">§</a></h2><div id="blanket-implementations-list"><details class="toggle implementors-toggle"><summary><section id="impl-Any-for-T" class="impl"><a class="src rightside" href="https://doc.rust-lang.org/nightly/src/core/any.rs.html#140">source</a><a href="#impl-Any-for-T" class="anchor">§</a><h3 class="code-header">impl<T> <a class="trait" href="https://doc.rust-lang.org/nightly/core/any/trait.Any.html" title="trait core::any::Any">Any</a> for T<div class="where">where
T: 'static + ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,</div></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.type_id" class="method trait-impl"><a class="src rightside" href="https://doc.rust-lang.org/nightly/src/core/any.rs.html#141">source</a><a href="#method.type_id" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/any/trait.Any.html#tymethod.type_id" class="fn">type_id</a>(&self) -> <a class="struct" href="https://doc.rust-lang.org/nightly/core/any/struct.TypeId.html" title="struct core::any::TypeId">TypeId</a></h4></section></summary><div class='docblock'>Gets the <code>TypeId</code> of <code>self</code>. <a href="https://doc.rust-lang.org/nightly/core/any/trait.Any.html#tymethod.type_id">Read more</a></div></details></div></details><details class="toggle implementors-toggle"><summary><section id="impl-Borrow%3CT%3E-for-T" class="impl"><a class="src rightside" href="https://doc.rust-lang.org/nightly/src/core/borrow.rs.html#208">source</a><a href="#impl-Borrow%3CT%3E-for-T" class="anchor">§</a><h3 class="code-header">impl<T> <a class="trait" href="https://doc.rust-lang.org/nightly/core/borrow/trait.Borrow.html" title="trait core::borrow::Borrow">Borrow</a><T> for T<div class="where">where
T: ?<a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sized.html" title="trait core::marker::Sized">Sized</a>,</div></h3></section></summary><div class="impl-items"><details class="toggle method-toggle" open><summary><section id="method.borrow" class="method trait-impl"><a class="src rightside" href="https://doc.rust-lang.org/nightly/src/core/borrow.rs.html#210">source</a><a href="#method.borrow" class="anchor">§</a><h4 class="code-header">fn <a href="https://doc.rust-lang.org/nightly/core/borrow/trait.Borrow.html#tymethod.borrow" class="fn">borrow</a>(&self) -> <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&T</a></h4></section></summary><div class='docblock'>Immutably borrows from an owned value. <a href="https://doc.rust-lang.org/nightly/core/borrow/trait.Borrow.html#tymethod.borrow">Read more</a></div></details></div></details><details class="toggle implementors-toggle"><summary><section id="impl-BorrowMut%3CT%3E-for-T" class="impl"><a class="src rightside" href="https://doc.rust-lang.org/nightly/src/core/borrow.rs.html#216">source</a><a href="#impl-BorrowMut%3CT%3E-for-T" class="anchor">§</a><h3 class="code-header">impl<T> <a class="trait" href="https://doc.rust-lang.org/nightly/core/borrow/trait.BorrowMut.html" title="trait core::borrow::BorrowMut">BorrowMut</a><T> for T<div class="where">where
diff --git a/halo2_proofs/plonk/fn.create_proof.html b/halo2_proofs/plonk/fn.create_proof.html
index 128e56f931..a75b1c966a 100644
--- a/halo2_proofs/plonk/fn.create_proof.html
+++ b/halo2_proofs/plonk/fn.create_proof.html
@@ -14,11 +14,11 @@
});
</script>
-</head><body class="rustdoc fn"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle" title="show sidebar"></button></nav><nav class="sidebar"><div class="sidebar-crate"><h2><a href="../../halo2_proofs/index.html">halo2_proofs</a><span class="version">0.3.0</span></h2></div><div class="sidebar-elems"><h2><a href="index.html">In halo2_proofs::plonk</a></h2></div></nav><div class="sidebar-resizer"></div><main><div class="width-limiter"><rustdoc-search></rustdoc-search><section id="main-content" class="content"><div class="main-heading"><h1>Function <a href="../index.html">halo2_proofs</a>::<wbr><a href="index.html">plonk</a>::<wbr><a class="fn" href="#">create_proof</a><button id="copy-path" title="Copy item path to clipboard">Copy item path</button></h1><span class="out-of-band"><a class="src" href="../../src/halo2_proofs/plonk/prover.rs.html#75-98">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>−</span>]</button></span></div><pre class="rust item-decl"><code>pub fn create_proof<'params, Scheme: <a class="trait" href="../poly/commitment/trait.CommitmentScheme.html" title="trait halo2_proofs::poly::commitment::CommitmentScheme">CommitmentScheme</a>, P: <a class="trait" href="../poly/commitment/trait.Prover.html" title="trait halo2_proofs::poly::commitment::Prover">Prover</a><'params, Scheme>, E: <a class="trait" href="../transcript/trait.EncodedChallenge.html" title="trait halo2_proofs::transcript::EncodedChallenge">EncodedChallenge</a><Scheme::<a class="associatedtype" href="../poly/commitment/trait.CommitmentScheme.html#associatedtype.Curve" title="type halo2_proofs::poly::commitment::CommitmentScheme::Curve">Curve</a>>, R: <a class="trait" href="https://rust-random.github.io/rand/rand_core/trait.RngCore.html" title="trait rand_core::RngCore">RngCore</a>, T: <a class="trait" href="../transcript/trait.TranscriptWrite.html" title="trait halo2_proofs::transcript::TranscriptWrite">TranscriptWrite</a><Scheme::<a class="associatedtype" href="../poly/commitment/trait.CommitmentScheme.html#associatedtype.Curve" title="type halo2_proofs::poly::commitment::CommitmentScheme::Curve">Curve</a>, E>, ConcreteCircuit: <a class="trait" href="trait.Circuit.html" title="trait halo2_proofs::plonk::Circuit">Circuit</a><Scheme::<a class="associatedtype" href="../poly/commitment/trait.CommitmentScheme.html#associatedtype.Scalar" title="type halo2_proofs::poly::commitment::CommitmentScheme::Scalar">Scalar</a>>>(
+</head><body class="rustdoc fn"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle" title="show sidebar"></button></nav><nav class="sidebar"><div class="sidebar-crate"><h2><a href="../../halo2_proofs/index.html">halo2_proofs</a><span class="version">0.3.0</span></h2></div><div class="sidebar-elems"><h2><a href="index.html">In halo2_proofs::plonk</a></h2></div></nav><div class="sidebar-resizer"></div><main><div class="width-limiter"><rustdoc-search></rustdoc-search><section id="main-content" class="content"><div class="main-heading"><h1>Function <a href="../index.html">halo2_proofs</a>::<wbr><a href="index.html">plonk</a>::<wbr><a class="fn" href="#">create_proof</a><button id="copy-path" title="Copy item path to clipboard">Copy item path</button></h1><span class="out-of-band"><a class="src" href="../../src/halo2_proofs/plonk/prover.rs.html#77-100">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>−</span>]</button></span></div><pre class="rust item-decl"><code>pub fn create_proof<'params, Scheme: <a class="trait" href="../poly/commitment/trait.CommitmentScheme.html" title="trait halo2_proofs::poly::commitment::CommitmentScheme">CommitmentScheme</a>, P: <a class="trait" href="../poly/commitment/trait.Prover.html" title="trait halo2_proofs::poly::commitment::Prover">Prover</a><'params, Scheme>, E: <a class="trait" href="../transcript/trait.EncodedChallenge.html" title="trait halo2_proofs::transcript::EncodedChallenge">EncodedChallenge</a><Scheme::<a class="associatedtype" href="../poly/commitment/trait.CommitmentScheme.html#associatedtype.Curve" title="type halo2_proofs::poly::commitment::CommitmentScheme::Curve">Curve</a>>, R: <a class="trait" href="https://rust-random.github.io/rand/rand_core/trait.RngCore.html" title="trait rand_core::RngCore">RngCore</a>, T: <a class="trait" href="../transcript/trait.TranscriptWrite.html" title="trait halo2_proofs::transcript::TranscriptWrite">TranscriptWrite</a><Scheme::<a class="associatedtype" href="../poly/commitment/trait.CommitmentScheme.html#associatedtype.Curve" title="type halo2_proofs::poly::commitment::CommitmentScheme::Curve">Curve</a>, E>, ConcreteCircuit: <a class="trait" href="trait.Circuit.html" title="trait halo2_proofs::plonk::Circuit">Circuit</a><Scheme::<a class="associatedtype" href="../poly/commitment/trait.CommitmentScheme.html#associatedtype.Scalar" title="type halo2_proofs::poly::commitment::CommitmentScheme::Scalar">Scalar</a>>>(
params: &'params Scheme::<a class="associatedtype" href="../poly/commitment/trait.CommitmentScheme.html#associatedtype.ParamsProver" title="type halo2_proofs::poly::commitment::CommitmentScheme::ParamsProver">ParamsProver</a>,
pk: &<a class="struct" href="struct.ProvingKey.html" title="struct halo2_proofs::plonk::ProvingKey">ProvingKey</a><Scheme::<a class="associatedtype" href="../poly/commitment/trait.CommitmentScheme.html#associatedtype.Curve" title="type halo2_proofs::poly::commitment::CommitmentScheme::Curve">Curve</a>>,
circuits: &<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.slice.html">[ConcreteCircuit]</a>,
- instances: &[&[&[Scheme::<a class="associatedtype" href="../poly/commitment/trait.CommitmentScheme.html#associatedtype.Scalar" title="type halo2_proofs::poly::commitment::CommitmentScheme::Scalar">Scalar</a>]]],
+ instances: &[<a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a><<a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a><Scheme::<a class="associatedtype" href="../poly/commitment/trait.CommitmentScheme.html#associatedtype.Scalar" title="type halo2_proofs::poly::commitment::CommitmentScheme::Scalar">Scalar</a>>>],
rng: R,
transcript: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&mut T</a>
) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a><<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.unit.html">()</a>, <a class="enum" href="enum.Error.html" title="enum halo2_proofs::plonk::Error">Error</a>><div class="where">where
diff --git a/halo2_proofs/plonk/fn.create_proof_with_engine.html b/halo2_proofs/plonk/fn.create_proof_with_engine.html
index 1e3d5201c1..5d0ed45207 100644
--- a/halo2_proofs/plonk/fn.create_proof_with_engine.html
+++ b/halo2_proofs/plonk/fn.create_proof_with_engine.html
@@ -14,12 +14,12 @@
});
</script>
-</head><body class="rustdoc fn"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle" title="show sidebar"></button></nav><nav class="sidebar"><div class="sidebar-crate"><h2><a href="../../halo2_proofs/index.html">halo2_proofs</a><span class="version">0.3.0</span></h2></div><div class="sidebar-elems"><h2><a href="index.html">In halo2_proofs::plonk</a></h2></div></nav><div class="sidebar-resizer"></div><main><div class="width-limiter"><rustdoc-search></rustdoc-search><section id="main-content" class="content"><div class="main-heading"><h1>Function <a href="../index.html">halo2_proofs</a>::<wbr><a href="index.html">plonk</a>::<wbr><a class="fn" href="#">create_proof_with_engine</a><button id="copy-path" title="Copy item path to clipboard">Copy item path</button></h1><span class="out-of-band"><a class="src" href="../../src/halo2_proofs/plonk/prover.rs.html#19-69">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>−</span>]</button></span></div><pre class="rust item-decl"><code>pub fn create_proof_with_engine<'params, Scheme: <a class="trait" href="../poly/commitment/trait.CommitmentScheme.html" title="trait halo2_proofs::poly::commitment::CommitmentScheme">CommitmentScheme</a>, P: <a class="trait" href="../poly/commitment/trait.Prover.html" title="trait halo2_proofs::poly::commitment::Prover">Prover</a><'params, Scheme>, E: <a class="trait" href="../transcript/trait.EncodedChallenge.html" title="trait halo2_proofs::transcript::EncodedChallenge">EncodedChallenge</a><Scheme::<a class="associatedtype" href="../poly/commitment/trait.CommitmentScheme.html#associatedtype.Curve" title="type halo2_proofs::poly::commitment::CommitmentScheme::Curve">Curve</a>>, R: <a class="trait" href="https://rust-random.github.io/rand/rand_core/trait.RngCore.html" title="trait rand_core::RngCore">RngCore</a>, T: <a class="trait" href="../transcript/trait.TranscriptWrite.html" title="trait halo2_proofs::transcript::TranscriptWrite">TranscriptWrite</a><Scheme::<a class="associatedtype" href="../poly/commitment/trait.CommitmentScheme.html#associatedtype.Curve" title="type halo2_proofs::poly::commitment::CommitmentScheme::Curve">Curve</a>, E>, ConcreteCircuit: <a class="trait" href="trait.Circuit.html" title="trait halo2_proofs::plonk::Circuit">Circuit</a><Scheme::<a class="associatedtype" href="../poly/commitment/trait.CommitmentScheme.html#associatedtype.Scalar" title="type halo2_proofs::poly::commitment::CommitmentScheme::Scalar">Scalar</a>>, M: <a class="trait" href="../../halo2_middleware/zal/traits/trait.MsmAccel.html" title="trait halo2_middleware::zal::traits::MsmAccel">MsmAccel</a><Scheme::<a class="associatedtype" href="../poly/commitment/trait.CommitmentScheme.html#associatedtype.Curve" title="type halo2_proofs::poly::commitment::CommitmentScheme::Curve">Curve</a>>>(
+</head><body class="rustdoc fn"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="mobile-topbar"><button class="sidebar-menu-toggle" title="show sidebar"></button></nav><nav class="sidebar"><div class="sidebar-crate"><h2><a href="../../halo2_proofs/index.html">halo2_proofs</a><span class="version">0.3.0</span></h2></div><div class="sidebar-elems"><h2><a href="index.html">In halo2_proofs::plonk</a></h2></div></nav><div class="sidebar-resizer"></div><main><div class="width-limiter"><rustdoc-search></rustdoc-search><section id="main-content" class="content"><div class="main-heading"><h1>Function <a href="../index.html">halo2_proofs</a>::<wbr><a href="index.html">plonk</a>::<wbr><a class="fn" href="#">create_proof_with_engine</a><button id="copy-path" title="Copy item path to clipboard">Copy item path</button></h1><span class="out-of-band"><a class="src" href="../../src/halo2_proofs/plonk/prover.rs.html#19-71">source</a> · <button id="toggle-all-docs" title="collapse all docs">[<span>−</span>]</button></span></div><pre class="rust item-decl"><code>pub fn create_proof_with_engine<'params, Scheme: <a class="trait" href="../poly/commitment/trait.CommitmentScheme.html" title="trait halo2_proofs::poly::commitment::CommitmentScheme">CommitmentScheme</a>, P: <a class="trait" href="../poly/commitment/trait.Prover.html" title="trait halo2_proofs::poly::commitment::Prover">Prover</a><'params, Scheme>, E: <a class="trait" href="../transcript/trait.EncodedChallenge.html" title="trait halo2_proofs::transcript::EncodedChallenge">EncodedChallenge</a><Scheme::<a class="associatedtype" href="../poly/commitment/trait.CommitmentScheme.html#associatedtype.Curve" title="type halo2_proofs::poly::commitment::CommitmentScheme::Curve">Curve</a>>, R: <a class="trait" href="https://rust-random.github.io/rand/rand_core/trait.RngCore.html" title="trait rand_core::RngCore">RngCore</a>, T: <a class="trait" href="../transcript/trait.TranscriptWrite.html" title="trait halo2_proofs::transcript::TranscriptWrite">TranscriptWrite</a><Scheme::<a class="associatedtype" href="../poly/commitment/trait.CommitmentScheme.html#associatedtype.Curve" title="type halo2_proofs::poly::commitment::CommitmentScheme::Curve">Curve</a>, E>, ConcreteCircuit: <a class="trait" href="trait.Circuit.html" title="trait halo2_proofs::plonk::Circuit">Circuit</a><Scheme::<a class="associatedtype" href="../poly/commitment/trait.CommitmentScheme.html#associatedtype.Scalar" title="type halo2_proofs::poly::commitment::CommitmentScheme::Scalar">Scalar</a>>, M: <a class="trait" href="../../halo2_middleware/zal/traits/trait.MsmAccel.html" title="trait halo2_middleware::zal::traits::MsmAccel">MsmAccel</a><Scheme::<a class="associatedtype" href="../poly/commitment/trait.CommitmentScheme.html#associatedtype.Curve" title="type halo2_proofs::poly::commitment::CommitmentScheme::Curve">Curve</a>>>(
engine: <a class="struct" href="../../halo2_middleware/zal/impls/struct.PlonkEngine.html" title="struct halo2_middleware::zal::impls::PlonkEngine">PlonkEngine</a><Scheme::<a class="associatedtype" href="../poly/commitment/trait.CommitmentScheme.html#associatedtype.Curve" title="type halo2_proofs::poly::commitment::CommitmentScheme::Curve">Curve</a>, M>,
params: &'params Scheme::<a class="associatedtype" href="../poly/commitment/trait.CommitmentScheme.html#associatedtype.ParamsProver" title="type halo2_proofs::poly::commitment::CommitmentScheme::ParamsProver">ParamsProver</a>,
pk: &<a class="struct" href="struct.ProvingKey.html" title="struct halo2_proofs::plonk::ProvingKey">ProvingKey</a><Scheme::<a class="associatedtype" href="../poly/commitment/trait.CommitmentScheme.html#associatedtype.Curve" title="type halo2_proofs::poly::commitment::CommitmentScheme::Curve">Curve</a>>,
circuits: &<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.slice.html">[ConcreteCircuit]</a>,
- instances: &[&[&[Scheme::<a class="associatedtype" href="../poly/commitment/trait.CommitmentScheme.html#associatedtype.Scalar" title="type halo2_proofs::poly::commitment::CommitmentScheme::Scalar">Scalar</a>]]],
+ instances: &[<a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a><<a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a><Scheme::<a class="associatedtype" href="../poly/commitment/trait.CommitmentScheme.html#associatedtype.Scalar" title="type halo2_proofs::poly::commitment::CommitmentScheme::Scalar">Scalar</a>>>],
rng: R,
transcript: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&mut T</a>
) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a><<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.unit.html">()</a>, <a class="enum" href="enum.Error.html" title="enum halo2_proofs::plonk::Error">Error</a>><div class="where">where
diff --git a/halo2_proofs/plonk/fn.verify_proof.html b/halo2_proofs/plonk/fn.verify_proof.html
index a0fcd86ee1..103a86c338 100644
--- a/halo2_proofs/plonk/fn.verify_proof.html
+++ b/halo2_proofs/plonk/fn.verify_proof.html
@@ -18,7 +18,7 @@
params: &'params <Scheme as <a class="trait" href="../poly/commitment/trait.CommitmentScheme.html" title="trait halo2_proofs::poly::commitment::CommitmentScheme">CommitmentScheme</a>>::<a class="associatedtype" href="../poly/commitment/trait.CommitmentScheme.html#associatedtype.ParamsVerifier" title="type halo2_proofs::poly::commitment::CommitmentScheme::ParamsVerifier">ParamsVerifier</a>,
vk: &<a class="struct" href="struct.VerifyingKey.html" title="struct halo2_proofs::plonk::VerifyingKey">VerifyingKey</a><<Scheme as <a class="trait" href="../poly/commitment/trait.CommitmentScheme.html" title="trait halo2_proofs::poly::commitment::CommitmentScheme">CommitmentScheme</a>>::<a class="associatedtype" href="../poly/commitment/trait.CommitmentScheme.html#associatedtype.Curve" title="type halo2_proofs::poly::commitment::CommitmentScheme::Curve">Curve</a>>,
strategy: Strategy,
- instances: &[&[&[<Scheme as <a class="trait" href="../poly/commitment/trait.CommitmentScheme.html" title="trait halo2_proofs::poly::commitment::CommitmentScheme">CommitmentScheme</a>>::<a class="associatedtype" href="../poly/commitment/trait.CommitmentScheme.html#associatedtype.Scalar" title="type halo2_proofs::poly::commitment::CommitmentScheme::Scalar">Scalar</a>]]],
+ instances: &[<a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a><<a class="struct" href="https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html" title="struct alloc::vec::Vec">Vec</a><<Scheme as <a class="trait" href="../poly/commitment/trait.CommitmentScheme.html" title="trait halo2_proofs::poly::commitment::CommitmentScheme">CommitmentScheme</a>>::<a class="associatedtype" href="../poly/commitment/trait.CommitmentScheme.html#associatedtype.Scalar" title="type halo2_proofs::poly::commitment::CommitmentScheme::Scalar">Scalar</a>>>],
transcript: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&mut T</a>
) -> <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a><<Strategy as <a class="trait" href="../poly/trait.VerificationStrategy.html" title="trait halo2_proofs::poly::VerificationStrategy">VerificationStrategy</a><'params, Scheme, V>>::<a class="associatedtype" href="../poly/trait.VerificationStrategy.html#associatedtype.Output" title="type halo2_proofs::poly::VerificationStrategy::Output">Output</a>, <a class="enum" href="enum.ErrorBack.html" title="enum halo2_proofs::plonk::ErrorBack">Error</a>><div class="where">where
Scheme: <a class="trait" href="../poly/commitment/trait.CommitmentScheme.html" title="trait halo2_proofs::poly::commitment::CommitmentScheme">CommitmentScheme</a>,
diff --git a/search-index.js b/search-index.js
index 44358da12d..4c6726f130 100644
--- a/search-index.js
+++ b/search-index.js
@@ -1,10 +1,10 @@
var searchIndex = new Map(JSON.parse('[\
["halo2",{"t":"","n":[],"q":[],"i":[],"f":"","D":"b","p":[],"r":[],"b":[],"c":"OjAAAAAAAAA=","e":"OjAAAAAAAAA="}],\
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j{O`}}{j{{Bl{{j{{Bl{{j{Bl}}}}}}}}}}e{j{Bji}}}{{Dn{{AAh{kmgeic}}Ob}}}AAfClOn{{AAd{g}}}AA`{{AAb{k}}}}{{{j{{AAh{cegikm}}}}}{{j{{Bl{Oj}}}}}AA`{{AAb{c}}}OnCl{{AAd{g}}}AAf}{c{{Dn{e}}}{}{}}000{{{j{c}}}E`{}}077`{{{j{Bj{AAn{c}}}}{Fl{{Fl{Fl}}}}{Fl{Oj}}}Bnh}{{{j{c}}}{{j{e}}}{}{}}{{{j{Bjc}}}{{j{Bje}}}{}{}}{{}{{AAn{c}}}{Kjh}}{Cb{{j{c}}}{}}{Cb{{j{Bjc}}}{}}{CbBn}{{{AAn{c}}{j{{AB`{c}}}}{j{{Nn{c}}}}}Bfh}{{{j{{AAn{c}}}}{j{BjD`}}}Db{Odh}}{cc{}}{{}Cb}{ce{}{}}{{}{{AAn{c}}}h}>>={{j{j{Nn}}g{j{{Bl{{j{{Bl{{j{Bl}}}}}}}}}}{j{Bjk}}}{{Dn{Ob}}}AA`{{ABb{c}}}{{ABd{ce}}}On{{ABf{i}}}}{{j{j{Nn}}g{j{{Bl{{j{Bl}}}}}}{j{Bjk}}}{{Dn{Ob}}}AA`{{ABb{c}}}{{ABd{ce}}}On{{ABf{i}}}}3````````````````{{{ABh{ce}}{j{{ABh{ce}}}}}{{ABh{ce}}}AhABj}>>>>>>>======={{{j{{Ol{c}}}}}{{Ol{c}}}{CfAh}}{{{j{ABl}}}ABl}{{{j{ABn}}}ABn}{{{j{AC`}}}AC`}{{{j{{ABh{ce}}}}}{{ABh{ce}}}CfCf}{{{j{c}}{j{Bje}}}Bn{}{}}0000{{{j{{Ol{c}}}}{Fl{c}}}{{ABh{cABl}}}A`}{{{j{{Ol{c}}}}{ABh{cABl}}}{{ABh{cAC`}}}A`}`{{{j{{Ol{c}}}}c}{{ABh{cAC`}}}A`}{{{j{{Ol{c}}}}c}{{ABh{cABn}}}A`}{Cb{{j{c}}}{}}000000{{{j{{ABh{ce}}}}}{{j{{Bl{c}}}}}{}{}}{Cb{{j{Bjc}}}{}}000000{{{j{Bj{ABh{ce}}}}}{{j{Bj{Bl{c}}}}}{}{}}{{{j{{Ol{c}}}}{ABh{cAC`}}}{{ABh{cAC`}}}A`}{CbBn}000000{{{j{{Ol{c}}}}}{{ABh{cABl}}}A`}{{{j{{Ol{c}}}}}{{ABh{cAC`}}}A`}{{{j{{Ol{c}}}}}{{ABh{cABn}}}A`}{{{j{{Ol{c}}}}}A@bA`}{{{j{{Ol{c}}}}}CbA`}{{{j{{Ol{c}}}}{ABh{cAC`}}}{{Fl{c}}}A`}{{{ABd{}{{Aj{c}}}}}Bf{}}{{{j{{Ol{c}}}}{j{BjD`}}}Db{OdAh}}{{{j{{ACb{c}}}}{j{BjD`}}}Db{OdAh}}{{{j{ACd}}{j{BjD`}}}Db}{{{j{ABl}}{j{BjD`}}}Db}{{{j{ABn}}{j{BjD`}}}Db}{{{j{AC`}}{j{BjD`}}}Db}{{{j{{ABh{ce}}}}{j{BjD`}}}DbOdOd}{cc{}}000000{{{j{{Ol{c}}}}}cA`}00;{{{j{{ABh{ce}}}}ACf}{{j{{Bl{c}}}}}{}{}}{{{j{{ABh{ce}}}}Cb}{{j{c}}}{}{}}{{{j{{ABh{ce}}}}{ACh{Cb}}}{{j{{Bl{c}}}}}{}{}}{{{j{Bj{ABh{ce}}}}ACf}{{j{Bj{Bl{c}}}}}{}{}}{{{j{Bj{ABh{ce}}}}{ACh{Cb}}}{{j{Bj{Bl{c}}}}}{}{}}{{{j{Bj{ABh{ce}}}}Cb}{{j{Bjc}}}{}{}}{{}Cb}000000{ce{}{}}000000`{{{j{{ABh{ce}}}}}{{`{{ACj{}{{Ed{{j{c}}}}}}}}}{}{}}{{{j{Bj{ABh{ce}}}}}{{`{{ACj{}{{Ed{{j{Bjc}}}}}}}}}{}{}}{{{j{{Ol{c}}}}}A@bA`}`{{{j{{Ol{c}}}}cce}{{Fl{c}}}A`{{Hb{}{{Ed{ACl}}}}Cf}}{{{j{{Ol{c}}}}{Fl{c}}}{{ABh{cABn}}}A`}{{{j{{Ol{c}}}}{ABh{cABn}}}{{ABh{cABl}}}A`}{{{ABh{ce}}c}{{ABh{ce}}}AhABj}{j{{ABd{}{{Aj{c}}}}}{}}{{A@bA@b}{{Ol{c}}}A`}{{Cbc}{{ABh{ce}}}Cf{}}{{{Fl{c}}}{{ABh{cABn}}}Cf}{{{j{{ABh{ce}}}}}Cb{}{}}{{{j{{Ol{c}}}}}{{ACb{c}}}A`}{{{ABd{}{{Aj{c}}}}e}{{Dn{cOb}}}{}{{In{}{{Aj{{Dn{Ob}}}}}}}}{{{j{{ABh{cABn}}}}ACn}{{ABh{cABn}}}Ah}{{{j{{Ol{c}}}}{j{{ABh{cAC`}}}}ACn}{{ABh{cAC`}}}A`}{{{j{{Ol{c}}}}cACn}cA`}{{{ABh{ce}}{j{{ABh{ce}}}}}{{ABh{ce}}}AhABj}{{{j{{ABh{ce}}}}c}{{ABh{ce}}}AhABj}{{{j{c}}}e{}{}}0000{c{{Dn{e}}}{}{}}0000000000000{{{j{c}}}E`{}}000000`{ce{}{}}000000``````````````````{{{AD`{c}}{AD`{c}}}{{AD`{c}}}Ah}{{{j{Bj{AD`{c}}}}c}BnAh}{{{j{Bj{AD`{c}}}}{AD`{c}}}BnAh}{{{j{BjADb}}{j{ADb}}}Bn}{{{j{BjADb}}}Bn}{{{j{ADb}}}Fl}{{{j{c}}}{{j{e}}}{}{}}{{{j{Bjc}}}{{j{Bje}}}{}{}}{{{j{ADb}}{j{e}}}Bfh{{AAf{c}}}}{{{j{{AD`{c}}}}}{{AD`{c}}}Cf}{{{j{c}}{j{Bje}}}Bn{}{}}{{{j{ADd}}{j{e}}{j{{ABh{ABl}}}}AD`}{}h{{AAf{c}}}}{{{j{A@j}}{j{e}}{j{{ABh{ABn}}}}AD`}{}h{{AAf{c}}}}{{{j{AAb}}c{j{Bjg}}i}{{Df{Bn}}}ClOn{{AAd{e}}}{{Hb{}{{Ed{`}}}}Cf}}{{{j{AAb}}{j{c}}e{j{Bji}}k}{{Df{Bn}}}AAfClOn{{AAd{g}}}{{Hb{}{{Ed{`}}}}Cf}}{{}{{AD`{c}}}Ah}{Cb{{j{c}}}{}}{Cb{{j{Bjc}}}{}}{{{j{BjA@j}}A@b}Bn}{CbBn}{{{j{{ADh{}{{ADf{c}}}}}}}c{{ADb{e}}}h}{{{j{{AD`{c}}}}{j{{AD`{c}}}}}BfADj}{{{j{ADb}}{j{e}}}{}h{{AAf{c}}}}{{{j{{AD`{c}}}}{j{BjD`}}}DbOd}{cc{}}{{}Cb}{ce{}{}}{{{j{A@j}}}A@b}{{{AD`{c}}{AD`{c}}}{{AD`{c}}}Ah}{{{j{Bj{AD`{c}}}}{AD`{c}}}BnAh}{{{j{Bj{AD`{c}}}}c}BnAh}{{{j{A@j}}}Ch}{A@bADd}{jAAb}{{}{{ABb{}{{ADl{c}}{ADn{g}}}}}{{AE`{e}{{ADn{g}}}}}AA`{}}{{{j{Bjc}}}{{AD`{e}}}ClAh}{A@bc{}}{{{j{Bjc}}}{{Df{A@j}}}Dh}{{{j{Bjc}}}{{Df{e}}}Dh{}}{{{j{ADb}}}Fl}{{{j{BjADb}}}Bn}{{{j{c}}}e{}{}}{c{{Dn{e}}}{}{}}0{{{j{c}}}E`{}}{{{j{{ABb{}{{ADl{c}}{ADn{g}}}}}}{j{Bjk}}mg}{{Dn{cACd}}}{{AE`{e}{{ADn{g}}}}}AA`{}On{{ABf{i}}}{{Hb{}{{Ed{`}}}}Cf}}{ce{}{}}{{{j{A@j}}{j{Bjc}}}{{Df{Bn}}}Eb}```````{{{j{c}}}{{j{e}}}{}{}}0{{{j{Bjc}}}{{j{Bje}}}{}{}}0{{{j{{AEb{c}}}}}{{AEb{c}}}{Cfh}}{{{j{c}}{j{Bje}}}Bn{}{}}{{{j{{AEb{c}}}}{j{e}}{j{{ABh{ABl}}}}AD`}{}h{{AAf{c}}}}{{{j{{AEb{c}}}}{j{e}}{j{{ABh{ABn}}}}AD`}{}h{{AAf{c}}}}{{{j{e}}{j{{AEb{c}}}}g{j{Bjk}}{j{{ABh{ABl}}}}AD`}{{Df{Bn}}}h{{AAf{c}}}Cl{{On{c}}}{{AAd{ci}}}}{Cb{{j{c}}}{}}0{Cb{{j{Bjc}}}{}}0{{{j{Bj{AEb{c}}}}A@b}Bnh}{CbBn}0{{{j{{AEb{c}}}}}{{AEd{c}}}h}{{{j{{AEb{c}}}}{j{BjD`}}}Db{Odh}}{{{j{{AEf{c}}}}{j{BjD`}}}Db{Odh}}{cc{}}0{{}Cb}0{ce{}{}}0{{{j{{AEb{c}}}}}A@bh}{{{j{{AEb{c}}}}}Chh}{A@b{{AEb{c}}}h}{A@bc{}}{{{j{Bjc}}}{{Df{{AEb{e}}}}}Dhh}{{{j{Bjc}}}{{Df{e}}}Dh{}}{{{j{c}}}e{}{}}{c{{Dn{e}}}{}{}}000{{{j{c}}}E`{}}0{{{AEd{c}}{j{Bjg}}}{{Dn{{AEh{c}}ACd}}}h{{On{c}}}{{ABf{ce}}}}::{{{j{{AEb{c}}}}{j{Bje}}}{{Df{Bn}}}hEb}`{{{j{Bj{AEd{c}}}}}Bnh}{{{j{Bj{AEd{c}}}}{j{{AEd{c}}}}}Bnh}0{{{j{Bj{AEd{c}}}}{j{Bl}}}Bnh}222{{{j{{AEd{c}}}}}Flh}{{{j{c}}}{{j{e}}}{}{}}{{{j{Bjc}}}{{j{Bje}}}{}{}}{{{j{{AEd{c}}}}{j{e}}}Bfh{{AAf{c}}}}{{{j{{AEd{c}}}}}{{AEd{c}}}{Cfh}}{{{j{c}}{j{Bje}}}Bn{}{}}{Cb{{j{c}}}{}}{Cb{{j{Bjc}}}{}}{CbBn}{{{j{{AEd{c}}}}{j{e}}}{}h{{AAf{c}}}}{{{j{{AEd{c}}}}{j{BjD`}}}Db{Odh}}{cc{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ji}}}{{Dn{{AAh{kmgeic}}Ob}}}AAfClOn{{AAd{g}}}AA`{{AAb{k}}}}{{{j{{AAh{cegikm}}}}}{{j{{Bl{Oj}}}}}AA`{{AAb{c}}}OnCl{{AAd{g}}}AAf}{c{{Dn{e}}}{}{}}000{{{j{c}}}E`{}}077`{{{j{Bj{AAn{c}}}}{Fl{{Fl{Fl}}}}{Fl{Oj}}}Bnh}{{{j{c}}}{{j{e}}}{}{}}{{{j{Bjc}}}{{j{Bje}}}{}{}}{{}{{AAn{c}}}{Kjh}}{Cb{{j{c}}}{}}{Cb{{j{Bjc}}}{}}{CbBn}{{{AAn{c}}{j{{AB`{c}}}}{j{{Nn{c}}}}}Bfh}{{{j{{AAn{c}}}}{j{BjD`}}}Db{Odh}}{cc{}}{{}Cb}{ce{}{}}{{}{{AAn{c}}}h}>>={{j{j{Nn}}g{j{{Bl{{Fl{Fl}}}}}}{j{Bjk}}}{{Dn{Ob}}}AA`{{ABb{c}}}{{ABd{ce}}}On{{ABf{i}}}}{{j{j{Nn}}g{Fl{Fl}}{j{Bjk}}}{{Dn{Ob}}}AA`{{ABb{c}}}{{ABd{ce}}}On{{ABf{i}}}}3````````````````{{{ABh{ce}}{j{{ABh{ce}}}}}{{ABh{ce}}}AhABj}>>>>>>>======={{{j{{Ol{c}}}}}{{Ol{c}}}{CfAh}}{{{j{ABl}}}ABl}{{{j{ABn}}}ABn}{{{j{AC`}}}AC`}{{{j{{ABh{ce}}}}}{{ABh{ce}}}CfCf}{{{j{c}}{j{Bje}}}Bn{}{}}0000{{{j{{Ol{c}}}}{Fl{c}}}{{ABh{cABl}}}A`}{{{j{{Ol{c}}}}{ABh{cABl}}}{{ABh{cAC`}}}A`}`{{{j{{Ol{c}}}}c}{{ABh{cAC`}}}A`}{{{j{{Ol{c}}}}c}{{ABh{cABn}}}A`}{Cb{{j{c}}}{}}000000{{{j{{ABh{ce}}}}}{{j{{Bl{c}}}}}{}{}}{Cb{{j{Bjc}}}{}}000000{{{j{Bj{ABh{ce}}}}}{{j{Bj{Bl{c}}}}}{}{}}{{{j{{Ol{c}}}}{ABh{cAC`}}}{{ABh{cAC`}}}A`}{CbBn}000000{{{j{{Ol{c}}}}}{{ABh{cABl}}}A`}{{{j{{Ol{c}}}}}{{ABh{cAC`}}}A`}{{{j{{Ol{c}}}}}{{ABh{cABn}}}A`}{{{j{{Ol{c}}}}}A@bA`}{{{j{{Ol{c}}}}}CbA`}{{{j{{Ol{c}}}}{ABh{cAC`}}}{{Fl{c}}}A`}{{{ABd{}{{Aj{c}}}}}Bf{}}{{{j{{Ol{c}}}}{j{BjD`}}}Db{OdAh}}{{{j{{ACb{c}}}}{j{BjD`}}}Db{OdAh}}{{{j{ACd}}{j{BjD`}}}Db}{{{j{ABl}}{j{BjD`}}}Db}{{{j{ABn}}{j{BjD`}}}Db}{{{j{AC`}}{j{BjD`}}}Db}{{{j{{ABh{ce}}}}{j{BjD`}}}DbOdOd}{cc{}}000000{{{j{{Ol{c}}}}}cA`}00;{{{j{{ABh{ce}}}}ACf}{{j{{Bl{c}}}}}{}{}}{{{j{{ABh{ce}}}}Cb}{{j{c}}}{}{}}{{{j{{ABh{ce}}}}{ACh{Cb}}}{{j{{Bl{c}}}}}{}{}}{{{j{Bj{ABh{ce}}}}ACf}{{j{Bj{Bl{c}}}}}{}{}}{{{j{Bj{ABh{ce}}}}{ACh{Cb}}}{{j{Bj{Bl{c}}}}}{}{}}{{{j{Bj{ABh{ce}}}}Cb}{{j{Bjc}}}{}{}}{{}Cb}000000{ce{}{}}000000`{{{j{{ABh{ce}}}}}{{`{{ACj{}{{Ed{{j{c}}}}}}}}}{}{}}{{{j{Bj{ABh{ce}}}}}{{`{{ACj{}{{Ed{{j{Bjc}}}}}}}}}{}{}}{{{j{{Ol{c}}}}}A@bA`}`{{{j{{Ol{c}}}}cce}{{Fl{c}}}A`{{Hb{}{{Ed{ACl}}}}Cf}}{{{j{{Ol{c}}}}{Fl{c}}}{{ABh{cABn}}}A`}{{{j{{Ol{c}}}}{ABh{cABn}}}{{ABh{cABl}}}A`}{{{ABh{ce}}c}{{ABh{ce}}}AhABj}{j{{ABd{}{{Aj{c}}}}}{}}{{A@bA@b}{{Ol{c}}}A`}{{Cbc}{{ABh{ce}}}Cf{}}{{{Fl{c}}}{{ABh{cABn}}}Cf}{{{j{{ABh{ce}}}}}Cb{}{}}{{{j{{Ol{c}}}}}{{ACb{c}}}A`}{{{ABd{}{{Aj{c}}}}e}{{Dn{cOb}}}{}{{In{}{{Aj{{Dn{Ob}}}}}}}}{{{j{{ABh{cABn}}}}ACn}{{ABh{cABn}}}Ah}{{{j{{Ol{c}}}}{j{{ABh{cAC`}}}}ACn}{{ABh{cAC`}}}A`}{{{j{{Ol{c}}}}cACn}cA`}{{{ABh{ce}}{j{{ABh{ce}}}}}{{ABh{ce}}}AhABj}{{{j{{ABh{ce}}}}c}{{ABh{ce}}}AhABj}{{{j{c}}}e{}{}}0000{c{{Dn{e}}}{}{}}0000000000000{{{j{c}}}E`{}}000000`{ce{}{}}000000``````````````````{{{AD`{c}}{AD`{c}}}{{AD`{c}}}Ah}{{{j{Bj{AD`{c}}}}c}BnAh}{{{j{Bj{AD`{c}}}}{AD`{c}}}BnAh}{{{j{BjADb}}{j{ADb}}}Bn}{{{j{BjADb}}}Bn}{{{j{ADb}}}Fl}{{{j{c}}}{{j{e}}}{}{}}{{{j{Bjc}}}{{j{Bje}}}{}{}}{{{j{ADb}}{j{e}}}Bfh{{AAf{c}}}}{{{j{{AD`{c}}}}}{{AD`{c}}}Cf}{{{j{c}}{j{Bje}}}Bn{}{}}{{{j{ADd}}{j{e}}{j{{ABh{ABl}}}}AD`}{}h{{AAf{c}}}}{{{j{A@j}}{j{e}}{j{{ABh{ABn}}}}AD`}{}h{{AAf{c}}}}{{{j{AAb}}c{j{Bjg}}i}{{Df{Bn}}}ClOn{{AAd{e}}}{{Hb{}{{Ed{`}}}}Cf}}{{{j{AAb}}{j{c}}e{j{Bji}}k}{{Df{Bn}}}AAfClOn{{AAd{g}}}{{Hb{}{{Ed{`}}}}Cf}}{{}{{AD`{c}}}Ah}{Cb{{j{c}}}{}}{Cb{{j{Bjc}}}{}}{{{j{BjA@j}}A@b}Bn}{CbBn}{{{j{{ADh{}{{ADf{c}}}}}}}c{{ADb{e}}}h}{{{j{{AD`{c}}}}{j{{AD`{c}}}}}BfADj}{{{j{ADb}}{j{e}}}{}h{{AAf{c}}}}{{{j{{AD`{c}}}}{j{BjD`}}}DbOd}{cc{}}{{}Cb}{ce{}{}}{{{j{A@j}}}A@b}{{{AD`{c}}{AD`{c}}}{{AD`{c}}}Ah}{{{j{Bj{AD`{c}}}}{AD`{c}}}BnAh}{{{j{Bj{AD`{c}}}}c}BnAh}{{{j{A@j}}}Ch}{A@bADd}{jAAb}{{}{{ABb{}{{ADl{c}}{ADn{g}}}}}{{AE`{e}{{ADn{g}}}}}AA`{}}{{{j{Bjc}}}{{AD`{e}}}ClAh}{A@bc{}}{{{j{Bjc}}}{{Df{A@j}}}Dh}{{{j{Bjc}}}{{Df{e}}}Dh{}}{{{j{ADb}}}Fl}{{{j{BjADb}}}Bn}{{{j{c}}}e{}{}}{c{{Dn{e}}}{}{}}0{{{j{c}}}E`{}}{{{j{{ABb{}{{ADl{c}}{ADn{g}}}}}}{j{Bjk}}mg}{{Dn{cACd}}}{{AE`{e}{{ADn{g}}}}}AA`{}On{{ABf{i}}}{{Hb{}{{Ed{`}}}}Cf}}{ce{}{}}{{{j{A@j}}{j{Bjc}}}{{Df{Bn}}}Eb}```````{{{j{c}}}{{j{e}}}{}{}}0{{{j{Bjc}}}{{j{Bje}}}{}{}}0{{{j{{AEb{c}}}}}{{AEb{c}}}{Cfh}}{{{j{c}}{j{Bje}}}Bn{}{}}{{{j{{AEb{c}}}}{j{e}}{j{{ABh{ABl}}}}AD`}{}h{{AAf{c}}}}{{{j{{AEb{c}}}}{j{e}}{j{{ABh{ABn}}}}AD`}{}h{{AAf{c}}}}{{{j{e}}{j{{AEb{c}}}}g{j{Bjk}}{j{{ABh{ABl}}}}AD`}{{Df{Bn}}}h{{AAf{c}}}Cl{{On{c}}}{{AAd{ci}}}}{Cb{{j{c}}}{}}0{Cb{{j{Bjc}}}{}}0{{{j{Bj{AEb{c}}}}A@b}Bnh}{CbBn}0{{{j{{AEb{c}}}}}{{AEd{c}}}h}{{{j{{AEb{c}}}}{j{BjD`}}}Db{Odh}}{{{j{{AEf{c}}}}{j{BjD`}}}Db{Odh}}{cc{}}0{{}Cb}0{ce{}{}}0{{{j{{AEb{c}}}}}A@bh}{{{j{{AEb{c}}}}}Chh}{A@b{{AEb{c}}}h}{A@bc{}}{{{j{Bjc}}}{{Df{{AEb{e}}}}}Dhh}{{{j{Bjc}}}{{Df{e}}}Dh{}}{{{j{c}}}e{}{}}{c{{Dn{e}}}{}{}}000{{{j{c}}}E`{}}0{{{AEd{c}}{j{Bjg}}}{{Dn{{AEh{c}}ACd}}}h{{On{c}}}{{ABf{ce}}}}::{{{j{{AEb{c}}}}{j{Bje}}}{{Df{Bn}}}hEb}`{{{j{Bj{AEd{c}}}}}Bnh}{{{j{Bj{AEd{c}}}}{j{{AEd{c}}}}}Bnh}0{{{j{Bj{AEd{c}}}}{j{Bl}}}Bnh}222{{{j{{AEd{c}}}}}Flh}{{{j{c}}}{{j{e}}}{}{}}{{{j{Bjc}}}{{j{Bje}}}{}{}}{{{j{{AEd{c}}}}{j{e}}}Bfh{{AAf{c}}}}{{{j{{AEd{c}}}}}{{AEd{c}}}{Cfh}}{{{j{c}}{j{Bje}}}Bn{}{}}{Cb{{j{c}}}{}}{Cb{{j{Bjc}}}{}}{CbBn}{{{j{{AEd{c}}}}{j{e}}}{}h{{AAf{c}}}}{{{j{{AEd{c}}}}{j{BjD`}}}Db{Odh}}{cc{}}{{}Cb}{ce{}{}}{{{j{{AB`{c}}}}}{{AEd{c}}}h}>{{{j{Bj{AEd{c}}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e{}{}}{{{d{A`{Aj{c}}}}gi}Abh{{Bf{Bd}}}{{Bh{}{{j{e}}}}}{{Bf{{An{Gj}}}}}}{{{d{A`{Cl{}{{Cj{c}}}}}}i}{{Cn{ec}}}{{Cl{e}}}h{{Bf{Bd}}}{{n{}{{j{g}}}}}}{{{f{c}}}eGl{}}{{{d{A`e}}{d{{Gn{C`}}}}}{{Cb{ce}}}h{{Cd{c}}}}{{Ed{d{e}}d{d{{Eh{c}}}}{d{{Gn{{d{{Gn{c}}}}}}}}}{{D`{ce}}}h{{Dj{c}}}}{{{d{A`{Cl{}{{Cj{c}}}}}}{Dh{Bd}}}Ab{{Cl{e}}}h}{{{d{A`{Cn{ce}}}}{Dh{Bd}}}Abh{{Cl{c}}}}{{{d{A`{Cl{}{{Cj{c}}}}}}i}Ab{{Cl{e}}}h{{Bf{Bd}}}{{n{}{{j{g}}}}}}{{{d{A`{Cn{ce}}}}i}Abh{{Cl{c}}}{{Bf{Bd}}}{{n{}{{j{g}}}}}}``{{{d{{f{e}}}}}{{f{{b{c}}}}}h{{Ff{{b{c}}}}}}={{{f{e}}{f{e}}}g{}{{H`{}{{j{c}}}}}{}}?{{{f{{b{c}}}}c}eh{}}{{{d{{f{c}}}}{f{c}}}e{}{}}={{{f{{b{c}}}}{f{c}}}eh{}}{{{f{c}}{f{{d{c}}}}}g{{H`{d}{{j{}}}}}{}{}}{{{f{{d{{b{c}}}}}}c}eh{}}{{{f{c}}{d{{f{c}}}}}g{{H`{d}{{j{}}}}}{}{}}{{{d{{f{c}}}}}{{f{{b{e}}}}}{}h}{{{d{c}}}e{}{}}0000{{{f{{Hb{c}}}}}{{Hb{{f{c}}}}}Fd}{{{f{e}}B`}{{Df{{f{c}}}}}{}{{Gb{}{{G`{c}}}}}}{c{{Ah{e}}}{}{}}0000000000000000000{{{d{c}}}Hd{}}000000000{{}{{f{c}}}{}}{{{f{{Ej{ce}}}}}{{Ej{{f{c}}{f{e}}}}}{}{}}{{{d{{Bb{ce}}}}}{{f{{d{c}}}}}{}h}{{{d{{Bb{ce}}}}}{{f{{b{e}}}}}{}h}{ce{}{}}000000000{{{f{c}}{f{e}}}{{f{{Ej{ce}}}}}{}{}}``````{{{d{A`{Hf{ce}}}}im}{{Ah{kAf}}}h{{Cd{c}}Hh}{{Bf{Bd}}}{{Bh{}{{j{g}}}}}{}{{Bj{{Aj{c}}}{{j{{Ah{kAf}}}}}}}}{{{d{A`{Hf{ce}}}}ik}{{Ah{AbAf}}}h{{Cd{c}}Hh}{{Bf{Bd}}}{{Bh{}{{j{g}}}}}{{Bj{{Cf{c}}}{{j{{Ah{AbAf}}}}}}}}{{{d{c}}}{{d{e}}}{}{}}0{{{d{A`c}}}{{d{A`e}}}{}{}}0{{{d{A`{Hf{ce}}}}Dl{An{Bl}}B`}{{Ah{AbAf}}}h{{Cd{c}}Hh}}{B`{{d{c}}}{}}0{B`{{d{A`c}}}{}}0{B`Ab}0{{{d{{Hf{ce}}}}{d{A`Fj}}}Flh{{Cd{c}}}}{{{d{Hj}}{d{A`Fj}}}Fl}{cc{}}0{{{d{{Hf{ce}}}}Gf}{{f{c}}}h{{Cd{c}}Hh}}{{{d{A`{Hf{ce}}}}}{{d{A`g}}}h{{Cd{c}}Hh}{}}{{}B`}0??{{{d{A`e}}{Df{{An{Ch}}}}}{{Ah{{Hf{ce}}Af}}}h{{Cd{c}}}}{{{d{A`{Hf{ce}}}}{Dh{Bd}}}Abh{{Cd{c}}Hh}}{{{d{A`{Hf{ce}}}}i}Abh{{Cd{c}}Hh}{{Bf{Bd}}}{{n{}{{j{g}}}}}}{{{d{A`e}}{d{g}}{Df{{An{Ch}}}}}{{Ah{AbAf}}}h{{Cd{c}}Hh}{{Dj{c}}}}{c{{Ah{e}}}{}{}}000{{{d{c}}}Hd{}}0{ce{}{}}0````{{{d{A`{Hl{ce}}}}im}{{Ah{kAf}}}h{{Cd{c}}Hh}{{Bf{Bd}}}{{Bh{}{{j{g}}}}}{}{{Bj{{Aj{c}}}{{j{{Ah{kAf}}}}}}}}{{{d{A`{Hl{ce}}}}ik}{{Ah{AbAf}}}h{{Cd{c}}Hh}{{Bf{Bd}}}{{Bh{}{{j{g}}}}}{{Bj{{Cf{c}}}{{j{{Ah{AbAf}}}}}}}}{{{d{c}}}{{d{e}}}{}{}}000{{{d{A`c}}}{{d{A`e}}}{}{}}000{{{d{A`{Hl{ce}}}}Dl{An{Bl}}B`}{{Ah{AbAf}}}h{{Cd{c}}Hh}}{B`{{d{c}}}{}}000{B`{{d{A`c}}}{}}000{B`Ab}000{{{d{Hn}}{d{A`Fj}}}Fl}{{{d{{Hl{ce}}}}{d{A`Fj}}}Fl{Fbh}{Fb{Cd{c}}}}{{{d{I`}}{d{A`Fj}}}Fl}{{{d{{Ib{ce}}}}{d{A`Fj}}}Fl{Fbh}{Fb{Cd{c}}}}{cc{}}000{{{d{{Hl{ce}}}}Gf}{{f{c}}}h{{Cd{c}}Hh}}{{{d{A`{Hl{ce}}}}}{{d{A`g}}}h{{Cd{c}}Hh}{}}{{}B`}000{ce{}{}}000{{{d{A`{Hl{ce}}}}{Dh{Bd}}}Abh{{Cd{c}}Hh}}{{{d{A`{Hl{ce}}}}i}Abh{{Cd{c}}Hh}{{Bf{Bd}}}{{n{}{{j{g}}}}}}`{{{d{A`e}}{d{g}}{Df{{An{Ch}}}}}{{Ah{AbAf}}}h{{Cd{c}}Hh}{{Dj{c}}}}{c{{Ah{e}}}{}{}}0000000{{{d{c}}}Hd{}}0005555```````{{{d{A`Fn}}{d{Bh}}{An{Al}}B`{d{A`Bj}}}{{Ah{DlAf}}}}{{{d{A`Id}}{d{Bh}}{An{Al}}B`{d{A`Bj}}}{{Ah{DlAf}}}}{{{d{A`Fn}}{d{Bh}}{An{Al}}B`{b{c}}}{{Ah{DlAf}}}h}{{{d{A`Id}}{d{Bh}}{An{Al}}B`{b{c}}}{{Ah{DlAf}}}h}{{{d{A`Fn}}{d{Bh}}{An{Bl}}B`{An{Al}}B`}{{Ah{{Ej{Dl{f{c}}}}Af}}}h}{{{d{A`Id}}{d{Bh}}{An{Bl}}B`{An{Al}}B`}{{Ah{{Ej{Dl{f{c}}}}Af}}}h}{{{d{A`Bn}}{d{Bh}}C`B`{d{A`Bj}}}{{Ah{AbAf}}}}{{{d{A`Fn}}{d{Bh}}{An{Ch}}B`{d{A`Bj}}}{{Ah{DlAf}}}}{{{d{A`Id}}{d{Bh}}{An{Ch}}B`{d{A`Bj}}}{{Ah{DlAf}}}}{{{d{c}}}{{d{e}}}{}{}}0{{{d{A`c}}}{{d{A`e}}}{}{}}0{{{d{Id}}}Id}{{{d{If}}}If}{{{d{c}}{d{A`e}}}Ab{}{}}0{{{d{If}}{d{If}}}Ih}{{{d{Id}}}{{d{{Ij{If}}}}}}{{{d{A`Fn}}Dl{b{c}}}{{Ah{AbAf}}}h}{{{d{A`Id}}Dl{b{c}}}{{Ah{AbAf}}}h}{{{d{A`Fn}}DlDl}{{Ah{AbAf}}}}{{{d{A`Id}}DlDl}{{Ah{AbAf}}}}{B`{{d{c}}}{}}0{B`{{d{A`c}}}{}}0{B`Ab}0{{{d{A`Fn}}{d{Bh}}{d{Fh}}B`}{{Ah{AbAf}}}}{{{d{A`Id}}{d{Bh}}{d{Fh}}B`}{{Ah{AbAf}}}}{{{d{If}}{d{If}}}Ad}{{{d{Id}}{d{A`Fj}}}Fl}{{{d{If}}{d{A`Fj}}}Fl}{cc{}}{{{An{Gj}}}If}{FhIf}2{{{d{If}}{d{A`c}}}AbIl}{{}B`}0{{{d{A`Fn}}{An{Bl}}B`}{{Ah{{f{c}}Af}}}h}{{{d{A`Id}}{An{Bl}}B`}{{Ah{{f{c}}Af}}}h}{ce{}{}}0{{{d{A`Fn}}{d{Bh}}{An{Gj}}}Ab}{{{d{A`Id}}{d{Bh}}{An{Gj}}}Ab}{E`Id}{{{d{If}}{d{If}}}{{Dh{Ih}}}}{{{d{Id}}}E`}{{{d{Id}}}B`}{{{d{c}}}e{}{}}0{c{{Ah{e}}}{}{}}000{{{d{c}}}Hd{}}099```````````````````````{{{d{{In{c}}}}}{{d{{Df{{Df{{J`{c}}}}}}}}}{JbJd}}{{{d{{In{c}}}}{An{Al}}}{{d{{Gn{{J`{c}}}}}}}{JbJd}}{{{d{A`{In{c}}}}g{An{Gj}}}Abh{{Bf{Bd}}}{{n{}{{j{e}}}}}}{{{d{{In{c}}}}}Ab{JbJd}}{{{d{{In{c}}}}ee}Ab{JbJd}{Dn{Jf{}{{G`{B`}}}}}}{{{d{A`{In{c}}}}g{An{Al}}B`k}{{Ah{AbAf}}}h{{Bf{Bd}}}{{n{}{{j{e}}}}}{{Bf{{b{c}}}}}{{n{}{{j{{f{i}}}}}}}}{{{d{A`{In{c}}}}g{An{Ch}}B`k}{{Ah{AbAf}}}h{{Bf{Bd}}}{{n{}{{j{e}}}}}{{Bf{{b{c}}}}}{{n{}{{j{{f{i}}}}}}}}{{{d{c}}}{{d{e}}}{}{}}0000000{{{d{A`c}}}{{d{A`e}}}{}{}}0000000{{{d{e}}}Bdh{{Dj{c}}}}{{{d{Jh}}}Jh}{{{d{{J`{c}}}}}{{J`{c}}}{Dnh}}{{{d{{Jj{c}}}}}{{Jj{c}}}{Dnh}}{{{d{c}}{d{A`e}}}Ab{}{}}00{{}Jl}{{{d{A`{In{c}}}}{An{Gj}}B`{An{Gj}}B`}{{Ah{AbAf}}}h}``{{{d{{In{c}}}}}{{d{{Eh{c}}}}}{JbJd}}{{}Jn}{B`{{d{c}}}{}}0000000{B`{{d{A`c}}}{}}0000000{B`Ab}0000000{{{d{K`}}{d{{In{c}}}}}Abh}{{{d{A`{In{c}}}}g{d{Fh}}B`}{{Ah{AbAf}}}h{{Bf{Bd}}}{{n{}{{j{e}}}}}}{{{d{A`{In{c}}}}g}Abh{{Bf{Bd}}}{{n{}{{j{e}}}}}}{{{d{Jh}}{d{Jh}}}Ad}{{{d{K`}}{d{K`}}}Ad}{{{d{{J`{c}}}}{d{{J`{c}}}}}Ad{Kbh}}{{{d{{Jj{c}}}}{d{{Jj{c}}}}}Ad{Kbh}}{{{d{A`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68,212,151,212,213,151,212,213,214,212,213,214,212,213,214,212,213,214,212,213,214,132,213,132,213],"f":"`````{{{b{c}}}{{b{e}}}{}{}}{{{b{dc}}}{{b{de}}}{}{}}`{{{b{f}}}f}{{{b{c}}{b{de}}}h{}{}}{j{{b{c}}}{}}{j{{b{dc}}}{}}`{jh}{{{b{f}}{b{dl}}}{{A`{hn}}}}{cc{}}`{{}j}{ce{}{}}``{{{b{c}}}e{}{}}`{c{{A`{e}}}{}{}}0{{{b{c}}}Ab{}}3````````````{{}c{}}000{{{b{{Aj{}{{Ad{c}}{Af{e}}{Ah{g}}}}}}}{{An{{Al{{Aj{}{{Ad{c}}{Af{e}}{Ah{g}}}}}}}}}{B`Bb}{B`Bb}{{Bf{}{{Bd{}}{Ad{}}}}}}{{{b{Bh}}}Bh}0{{{b{{Bf{}{{Ad{c}}{Af{e}}{Bd{g}}}}}}}{{Bf{}{{Ad{c}}{Af{e}}{Bd{g}}}}}B`B`{{Aj{}{{Ah{}}{Ad{}}{Bj{}}{Bj{}}}}{Bl{c}}{Bl{c}}}}{{cc}{{An{{Aj{}{{Ad{e}}{Af{c}}{Ah{g}}}}}}}{B`Bb}{B`Bb}{{Bf{}{{Bd{}}{Ad{}}}}}}{{{b{Bn}}}{{Cb{C`}}}}{{{b{Bh}}}{{An{Bh}}}}{{{b{{Bf{}{{Ad{c}}{Af{e}}{Bd{g}}}}}}}CdB`B`{{Aj{}{{Ah{}}{Ad{}}{Bj{}}{Bj{}}}}{Bl{c}}{Bl{c}}}}{{{b{{Aj{}{{Ad{c}}{Af{e}}{Ah{g}}}}}}}Cd{B`Bb}{B`Bb}{{Bf{}{{Bd{}}{Ad{}}}}}}{{{b{Bh}}}Cd}{{{b{Bh}}}Cf}{{{b{{Bf{}{{Ad{c}}{Af{e}}{Bd{g}}}}}}}{{Ch{eee}}}B`B`{{Aj{}{{Ah{}}{Ad{}}{Bj{}}{Bj{}}}}{Bl{c}}{Bl{c}}}}{{ccc}{{An{{Bf{}{{Ad{e}}{Af{c}}{Bd{g}}}}}}}B`B`{{Aj{}{{Ah{}}{Ad{}}{Bj{}}{Bj{}}}}{Bl{e}}{Bl{e}}}}{{{b{d{Cj{c}}}}e}hCl{{C`{{b{d{Cj{c}}}}j}}ClCnD`}}{{{b{Bh}}c}Bh{{Dd{{Cj{Db}}}}}}0{cBhDf}9{{{b{Bh}}}{{Ch{CdBh}}}}{{{b{Bh}}{b{Bh}}}{{Ch{CdBh}}}}?`````````````{{{Dj{{b{{Dh{c}}}}}}c}{}Bh}{{{Dj{{b{c}}}}{Dj{c}}}{}{}}{{{Dj{e}}{Dj{e}}}{}{}{{Dl{}{{Bj{c}}}}}}{{{Dj{{Dh{c}}}}c}{}Bh}{{{Dj{{Dh{c}}}}{Dj{c}}}{}Bh}{{{b{{Dj{c}}}}{b{{Dj{c}}}}}{}{}}{{{b{{Dj{c}}}}{Dj{c}}}{}{}}{{{Dj{{b{{Dh{c}}}}}}{Dj{c}}}{}Bh}{{{Dj{c}}{Dj{{b{c}}}}}{}{{Dl{b}{{Bj{}}}}}{}}{{{Dj{c}}{b{{Dj{c}}}}}{}{{Dl{b}{{Bj{}}}}}{}}{{{Dj{c}}g}{{Dj{e}}}{}{}{{Dn{c}{{Bj{{Dj{e}}}}}}}}{{{b{d{Dj{c}}}}}{{Dj{{b{dc}}}}}{}}{{{b{{Dj{c}}}}}{{Dj{{b{c}}}}}{}}{{{b{{Dj{c}}}}e}h{}{{Dn{{b{c}}}{{Bj{Cf}}}}}}{{{Dj{c}}}{{A`{cE`}}}{}}{{{b{d{Eb{c}}}}g{Ef{Ed}}jk}{{A`{{Eh{ic}}E`}}}Bh{{El{Ej}}}{{C`{}{{Bj{e}}}}}{}{{En{}{{Bj{{Dj{i}}}}}}}}{{{b{d{Eb{c}}}}g{Ef{Ed}}ji}{{A`{{Eh{ic}}E`}}}Bh{{El{Ej}}}{{C`{}{{Bj{e}}}}}{}}{{{b{d{Eb{c}}}}g{Ef{F`}}j{Ef{Ed}}j}{{A`{{Eh{cc}}E`}}}Bh{{El{Ej}}}{{C`{}{{Bj{e}}}}}}{{{b{d{Fb{c}}}}gFdjk}{{A`{hE`}}}Bh{{El{Ej}}}{{C`{}{{Bj{e}}}}}{{El{{Dh{c}}}}}{{En{}{{Bj{{Dj{i}}}}}}}}{{{b{d{Eb{c}}}}g{Ef{Ff}}jk}{{A`{{Eh{ic}}E`}}}Bh{{El{Ej}}}{{C`{}{{Bj{e}}}}}{}{{En{}{{Bj{{Dj{i}}}}}}}}{{{b{d{Fj{}{{Fh{c}}}}}}im}{{A`{kE`}}}{{Fj{e}}}Bh{{El{Ej}}}{{C`{}{{Bj{g}}}}}{}{{En{{Eb{e}}}{{Bj{{A`{kE`}}}}}}}}{{{b{d{Fl{ce}}}}im}{{A`{kE`}}}Bh{{Fj{c}}}{{El{Ej}}}{{C`{}{{Bj{g}}}}}{}{{En{{Eb{c}}}{{Bj{{A`{kE`}}}}}}}}{{{b{d{Fj{}{{Fh{c}}}}}}ik}{{A`{hE`}}}{{Fj{e}}}Bh{{El{Ej}}}{{C`{}{{Bj{g}}}}}{{En{{Fb{e}}}{{Bj{{A`{hE`}}}}}}}}{{{b{d{Fl{ce}}}}ik}{{A`{hE`}}}Bh{{Fj{c}}}{{El{Ej}}}{{C`{}{{Bj{g}}}}}{{En{{Fb{c}}}{{Bj{{A`{hE`}}}}}}}}{{{b{c}}}{{b{e}}}{}{}}0000000{{{b{dc}}}{{b{de}}}{}{}}0000000{{{b{{Eh{ce}}}}}Fn{}Bh}{{{b{{Dj{c}}}}}{{Dj{c}}}D`}{{{b{G`}}}G`}{{{b{Fn}}}Fn}{{{b{{Eh{ce}}}}}{{Eh{ce}}}D`{D`Bh}}{{{b{c}}{b{de}}}h{}{}}000{{{Dj{{b{dc}}}}}{{Dj{c}}}D`}{{{Dj{{b{c}}}}}{{Dj{c}}}D`}`{{{b{{Gf{}{{Gb{c}}{Gd{e}}}}}}}{{b{c}}}{GhD`}{GhD`}}{{{b{d{Eb{c}}}}Fne}{{A`{hE`}}}Bh{{El{{Dh{c}}}}}}{{{b{d{Eb{c}}}}FnFn}{{A`{hE`}}}Bh}{{{b{d{Fj{}{{Fh{c}}}}}}Fn{Ef{F`}}j}{{A`{hE`}}}{{Fj{e}}}Bh}{{{b{d{Fl{ce}}}}Fn{Ef{F`}}j}{{A`{hE`}}}Bh{{Fj{c}}}}{{{Dj{{b{dc}}}}}{{Dj{c}}}Gj}{{{Dj{{b{c}}}}}{{Dj{c}}}Gj}{{{b{{Eh{ce}}}}i{b{d{Eb{e}}}}{Ef{Ed}}j}{{A`{{Eh{ce}}E`}}}D`Bh{{El{Ej}}}{{C`{}{{Bj{g}}}}}}{{{b{{Dj{e}}}}}{{Dj{{Dh{c}}}}}Bh{{Gl{{Dh{c}}}}}}{{}{{Dj{c}}}{}}{j{{b{c}}}{}}0{{{b{G`}}}b}111111{j{{b{dc}}}{}}00000004{jh}000000{{{b{d{Fl{ce}}}}}hBh{{Fj{c}}}}1{{{b{d{Eb{c}}}}g{b{Gn}}j}{{A`{hE`}}}Bh{{El{Ej}}}{{C`{}{{Bj{e}}}}}}{{{b{{Dj{c}}}}e}{{A`{hE`}}}{}{{Dn{{b{c}}}{{Bj{Cf}}}}}}{{{Dj{{Dh{c}}}}}{{Dj{c}}}Bh}{{{Eh{{Dh{c}}c}}}{{Eh{cc}}}Bh}`{{{b{H`}}{b{dl}}}{{A`{hn}}}}{{{b{{Dj{c}}}}{b{dl}}}{{A`{hn}}}Gh}{{{b{G`}}{b{dl}}}{{A`{hn}}}}{{{b{Fn}}{b{dl}}}{{A`{hn}}}}{{{b{{Eh{ce}}}}{b{dl}}}{{A`{hn}}}Gh{GhBh}}{{{b{{Eb{c}}}}{b{dl}}}{{A`{hn}}}{GhBh}}{{{b{{Fb{c}}}}{b{dl}}}{{A`{hn}}}{GhBh}}{{{b{{Fl{ce}}}}{b{dl}}}{{A`{hn}}}{GhBh}{Gh{Fj{c}}}}{cc{}}{{{Dj{c}}}{{Dj{{Dh{c}}}}}Bh}11{jG`}22{{{b{dHb}}}{{Eb{c}}}Bh}33{{{b{dHd}}}{{Fb{c}}}Bh}4{e{{Dj{g}}}{}{{Hh{}{{Hf{{Dj{c}}}}}}}{{Hj{c}}}}{{{b{{Fj{}{{Fh{c}}}}}}Hl}{{Dj{e}}}{{Fj{e}}}Bh}{{{b{{Fl{ce}}}}Hl}{{Dj{c}}}Bh{{Fj{c}}}}{{{b{d{Fj{}{{Fh{c}}}}}}}{{b{dc}}}{{Fj{e}}}Bh}{{{b{d{Fl{ce}}}}}{{b{d}}}Bh{{Fj{c}}}}{{}j}0000000{{{b{d{Eb{c}}}}{Ef{F`}}j}{{A`{{Dj{c}}E`}}}Bh}{ce{}{}}0000000{{{Dj{e}}}{{Dj{{Dh{c}}}}}Bh{{El{{Dh{c}}}}}}{{{b{{Dj{e}}}}}{{Dj{{Dh{c}}}}}Bh{{Gl{{Dh{c}}}}}}{c{{Dj{c}}}{}}{{{b{{Gf{}{{Gb{c}}{Gd{e}}}}}}}{{b{e}}}{GhD`}{GhD`}}{{{Dj{c}}g}{{Dj{e}}}{}{}{{Dn{c}{{Bj{e}}}}}}{{{Dj{e}}{Dj{e}}}{}{}{{Bl{}{{Bj{c}}}}}}{{{Dj{{b{c}}}}{Dj{c}}}{}{}}{{{b{{Dj{c}}}}{Dj{c}}}{}{}}{{{Dj{{Dh{c}}}}c}{}Bh}{{{b{{Dj{c}}}}{b{{Dj{c}}}}}{}{}}{{{Dj{c}}{b{{Dj{c}}}}}{}{{Bl{b}{{Bj{}}}}}{}}{{{Dj{{b{{Dh{c}}}}}}c}{}Bh}{{{Dj{c}}{Dj{{b{c}}}}}{}{{Bl{b}{{Bj{}}}}}{}}{{{Dj{{Dh{c}}}}{Dj{c}}}{}Bh}{{{Dj{{b{{Dh{c}}}}}}{Dj{c}}}{}Bh}{{{b{d{Eb{c}}}}gi}hBh{{El{Ej}}}{{C`{}{{Bj{e}}}}}{{El{{Ef{Hn}}}}}}{{{b{d{Fj{}{{Fh{c}}}}}}i}{{Fl{ec}}}{{Fj{e}}}Bh{{El{Ej}}}{{Dn{}{{Bj{g}}}}}}{{{Dj{c}}}{}I`}{{{b{d{Fj{}{{Fh{c}}}}}}{Ib{Ej}}}h{{Fj{e}}}Bh}{{{b{d{Fl{ce}}}}{Ib{Ej}}}hBh{{Fj{c}}}}{{{b{d{Fj{}{{Fh{c}}}}}}i}h{{Fj{e}}}Bh{{El{Ej}}}{{Dn{}{{Bj{g}}}}}}{{{b{d{Fl{ce}}}}i}hBh{{Fj{c}}}{{El{Ej}}}{{Dn{}{{Bj{g}}}}}}``{{{b{{Dj{e}}}}}{{Dj{{Dh{c}}}}}Bh{{Gl{{Dh{c}}}}}}>{{{Dj{e}}{Dj{e}}}{}{}{{Id{}{{Bj{c}}}}}}{{{Dj{{b{c}}}}{Dj{c}}}{}{}}{{{b{{Dj{c}}}}{Dj{c}}}{}{}}{{{Dj{c}}{b{{Dj{c}}}}}{}{{Id{b}{{Bj{}}}}}{}}<{{{b{{Dj{c}}}}{b{{Dj{c}}}}}{}{}}{{{Dj{c}}{Dj{{b{c}}}}}{}{{Id{b}{{Bj{}}}}}{}}?{{{Dj{{b{{Dh{c}}}}}}c}{}Bh}{{{b{de}}{b{g}}{If{{Ef{Ff}}}}}{{A`{hE`}}}Bh{{Ih{c}}Ij}{{Il{c}}}}{{{b{{Dj{c}}}}}{{Dj{{Dh{e}}}}}{}Bh}{{{b{c}}}e{}{}}000{{{Dj{{In{c}}}}}{{In{{Dj{c}}}}}Gj}{{{Dj{e}}j}{{If{{Dj{c}}}}}{}{{Hh{}{{Hf{c}}}}}}{c{{A`{e}}}{}{}}000000000000000{{{b{c}}}Ab{}}0000000{{}{{Dj{c}}}{}}{{{Dj{{Ch{ce}}}}}{{Ch{{Dj{c}}{Dj{e}}}}}{}{}}{{{b{{Eh{ce}}}}}{{Dj{{b{c}}}}}{}Bh}{{{b{{Eh{ce}}}}}{{Dj{{Dh{e}}}}}{}Bh}{ce{}{}}0000000{{{Dj{c}}{Dj{e}}}{{Dj{{Ch{ce}}}}}{}{}}``{{{b{d{J`{ce}}}}im}{{A`{kE`}}}Bh{{Ih{c}}Ij}{{El{Ej}}}{{C`{}{{Bj{g}}}}}{}{{En{{Eb{c}}}{{Bj{{A`{kE`}}}}}}}}{{{b{d{J`{ce}}}}ik}{{A`{hE`}}}Bh{{Ih{c}}Ij}{{El{Ej}}}{{C`{}{{Bj{g}}}}}{{En{{Fb{c}}}{{Bj{{A`{hE`}}}}}}}}{{{b{c}}}{{b{e}}}{}{}}0{{{b{dc}}}{{b{de}}}{}{}}0{{{b{d{J`{ce}}}}Fn{Ef{F`}}j}{{A`{hE`}}}Bh{{Ih{c}}Ij}}{j{{b{c}}}{}}0{j{{b{dc}}}{}}0{jh}0{{{b{Jb}}{b{dl}}}{{A`{hn}}}}{{{b{{J`{ce}}}}{b{dl}}}{{A`{hn}}}{GhBh}{Gh{Ih{c}}}}{cc{}}0{{{b{{J`{ce}}}}Hl}{{Dj{c}}}Bh{{Ih{c}}Ij}}{{{b{d{J`{ce}}}}}{{b{d}}}Bh{{Ih{c}}Ij}}{{}j}0??{{{b{d{J`{ce}}}}{Ib{Ej}}}hBh{{Ih{c}}Ij}}{{{b{d{J`{ce}}}}i}hBh{{Ih{c}}Ij}{{El{Ej}}}{{Dn{}{{Bj{g}}}}}}`{{{b{de}}{b{g}}{If{{Ef{Ff}}}}}{{A`{hE`}}}Bh{{Ih{c}}Ij}{{Il{c}}}}{c{{A`{e}}}{}{}}000{{{b{c}}}Ab{}}0`{ce{}{}}0``{{{b{d{Jd{ce}}}}im}{{A`{kE`}}}Bh{{Ih{c}}Ij}{{El{Ej}}}{{C`{}{{Bj{g}}}}}{}{{En{{Eb{c}}}{{Bj{{A`{kE`}}}}}}}}{{{b{d{Jd{ce}}}}ik}{{A`{hE`}}}Bh{{Ih{c}}Ij}{{El{Ej}}}{{C`{}{{Bj{g}}}}}{{En{{Fb{c}}}{{Bj{{A`{hE`}}}}}}}}{{{b{c}}}{{b{e}}}{}{}}{{{b{dc}}}{{b{de}}}{}{}}{{{b{d{Jd{ce}}}}Fn{Ef{F`}}j}{{A`{hE`}}}Bh{{Ih{c}}Ij}}{j{{b{c}}}{}}{j{{b{dc}}}{}}{jh}{{{b{{Jd{ce}}}}{b{dl}}}{{A`{hn}}}Bh{{Ih{c}}}}{cc{}}{{{b{{Jd{ce}}}}Hl}{{Dj{c}}}Bh{{Ih{c}}Ij}}{{{b{d{Jd{ce}}}}}{{b{d}}}Bh{{Ih{c}}Ij}}{{}j}={{{b{de}}{If{{Ef{Ff}}}}}{{A`{{Jd{ce}}E`}}}Bh{{Ih{c}}}}{{{b{d{Jd{ce}}}}{Ib{Ej}}}hBh{{Ih{c}}Ij}}{{{b{d{Jd{ce}}}}i}hBh{{Ih{c}}Ij}{{El{Ej}}}{{Dn{}{{Bj{g}}}}}}{c{{A`{e}}}{}{}}0{{{b{c}}}Ab{}}{ce{}{}}````{{{b{c}}}{{b{e}}}{}{}}0{{{b{dc}}}{{b{de}}}{}{}}0??>>=={{{b{Jf}}{b{dl}}}{{A`{hn}}}}{{{b{{Jh{ce}}}}{b{dl}}}{{A`{hn}}}{GhBh}{Gh{Ih{c}}}}==::44`66665544`````````````{{{b{{Jj{c}}}}}{{b{{If{{If{{Jl{c}}}}}}}}}{JnBb}}{{{b{{Jj{c}}}}{Ef{Ed}}}{{b{{Cj{{Jl{c}}}}}}}{JnBb}}{{{b{d{Jj{c}}}}g{Ef{Hn}}}hBh{{El{Ej}}}{{Dn{}{{Bj{e}}}}}}{{{b{{Jj{c}}}}}h{JnBb}}{{{b{{Jj{c}}}}ee}h{JnBb}{D`{K`{}{{Hf{j}}}}}}{{{b{d{Jj{c}}}}g{Ef{Ed}}jk}{{A`{hE`}}}Bh{{El{Ej}}}{{Dn{}{{Bj{e}}}}}{{El{{Dh{c}}}}}{{Dn{}{{Bj{{Dj{i}}}}}}}}{{{b{d{Jj{c}}}}g{Ef{Ff}}jk}{{A`{hE`}}}Bh{{El{Ej}}}{{Dn{}{{Bj{e}}}}}{{El{{Dh{c}}}}}{{Dn{}{{Bj{{Dj{i}}}}}}}}::::9999{{{b{e}}}EjBh{{Il{c}}}}{{{b{Kb}}}Kb}{{{b{c}}{b{de}}}h{}{}}{{{b{d{Jj{c}}}}{Ef{Hn}}j{Ef{Hn}}j}{{A`{hE`}}}Bh}`{{{b{{Jj{c}}}}}{{b{{Kd{c}}}}}{JnBb}}{{}Kf}{j{{b{c}}}{}}000{j{{b{dc}}}{}}000{jh}000{{{b{Kh}}{b{{Jj{c}}}}}hBh}{{{b{d{Jj{c}}}}g{b{Gn}}j}{{A`{hE`}}}Bh{{El{Ej}}}{{Dn{}{{Bj{e}}}}}}{{{b{d{Jj{c}}}}g}hBh{{El{Ej}}}{{Dn{}{{Bj{e}}}}}}{{{b{Kb}}{b{Kb}}}Cf}{{{b{Kh}}{b{Kh}}}Cf}{{{b{d{Jj{c}}}}}hBh}{{{b{d{Jj{c}}}}{Ef{Ff}}j{Dj{{Dh{c}}}}}{{A`{hE`}}}Bh}{{{b{{Jj{c}}}}}{{b{{If{{If{{Jl{c}}}}}}}}}{JnBb}}{{{b{{Jj{c}}}}{Ef{Ff}}}{{b{{Cj{{Jl{c}}}}}}}{JnBb}}{{{b{Kb}}{b{dl}}}{{A`{hn}}}}0{{{b{Kh}}{b{dl}}}{{A`{hn}}}}0{{{b{Kf}}{b{dl}}}{{A`{hn}}}}{{{b{{Jj{c}}}}{b{dl}}}{{A`{hn}}}{GhBh}}{cc{}}000{{{b{{Jj{c}}}}Hl}{{Dj{c}}}Bh}{{}j}000{{{b{{Jj{c}}}}}{{b{{If{{If{{Kj{c}}}}}}}}}{JnBb}}{ce{}{}}000{{KfCf}Kf}`{{{b{d{Jj{c}}}}{Ib{Ej}}}hBh}{{{b{d{Jj{c}}}}g}hBh{{El{Ej}}}{{Dn{}{{Bj{e}}}}}}{{{b{{Jj{c}}}}{Ef{F`}}j}{{A`{{Dj{c}}E`}}}Bh}{{KfKl{b{e}}{b{{L`{gKn}}}}}{{A`{hLb}}}Bh{{Il{c}}}Ld}{{Kl{b{e}}{If{{If{c}}}}}{{A`{{Jj{c}}E`}}}{JnBb}{{Il{c}}}}{{{b{{Jj{c}}}}}{{b{{If{{If{Cf}}}}}}}{JnBb}}66{{{b{c}}}e{}{}}{{{b{c}}}Ej{}}0{c{{A`{e}}}{}{}}0000000{{{b{c}}}Ab{}}000{{{b{{Jj{c}}}}}{{b{{Lf{j}}}}}{JnBb}}{{{b{{Jj{c}}}}}{{A`{h{If{Kh}}}}}{JnBb}}{{{b{{Jj{c}}}}ee}{{A`{h{If{Kh}}}}}{JnBb}{D`{K`{}{{Hf{j}}}}}}{{Kf{Lf{j}}}Kf}0????`````````````````````````````````````{{{b{c}}}{{b{e}}}{}{}}000000{{{b{dc}}}{{b{de}}}{}{}}000000{{{b{Lh}}}Lh}{{{b{Lj}}}Lj}{{{b{Ll}}}Ll}{{{b{Ln}}}Ln}{{{b{c}}{b{de}}}h{}{}}000{{{b{Lh}}{b{Lh}}}M`}`{j{{b{c}}}{}}000000{j{{b{dc}}}{}}000000{c{{A`{Ll}}}Mb}{c{{A`{Md}}}Mb}{jh}000000{{{b{Mf}}{b{Mf}}}Cf}{{{b{Lh}}{b{Lh}}}Cf}`{{{b{Mf}}{b{dl}}}{{A`{hn}}}}{{{b{Mh}}{b{dl}}}{{A`{hn}}}}{{{b{Lh}}{b{dl}}}{{A`{hn}}}}{{{b{Lj}}{b{dl}}}{{A`{hn}}}}{{{b{Ll}}{b{dl}}}{{A`{hn}}}}{{{b{Ln}}{b{dl}}}{{A`{hn}}}}{{{b{Md}}{b{dl}}}{{A`{hn}}}}{cc{}}000000{{Kl{b{e}}{If{{If{c}}}}}Mh{BbBhJn}{{Il{c}}}}{{Kl{b{e}}{If{{If{c}}}}Mf}Md{BbBhJn}{{Il{c}}}}{{{b{Bn}}}{{A`{Lh}}}}`{{}j}000000`{ce{}{}}000000{{{b{Mh}}Mf}Md}``````{{{b{Lh}}{b{Lh}}}{{Ib{M`}}}}````{{{b{Ll}}c}A`Mj}{{{b{Md}}c}A`Mj}```{{{b{c}}}e{}{}}000{c{{A`{e}}}{}{}}0000000000000{{{b{c}}}Ab{}}0000007777777`````{{{b{c}}}{{b{e}}}{}{}}0000{{{b{dc}}}{{b{de}}}{}{}}0000{{{b{Ml}}}Ml}{{{b{Mn}}}Mn}{{{b{N`}}}N`}{{{b{Nb}}}Nb}{{{b{c}}{b{de}}}h{}{}}000{{{b{Ml}}{b{Ml}}}M`}{{{b{Nd}}{b{Nd}}}M`}`{j{{b{c}}}{}}0000{j{{b{dc}}}{}}0000{jh}0000{{{b{Ml}}{b{Ml}}}Cf}{{{b{Nd}}{b{Nd}}}Cf}{{{b{Mn}}{b{Mn}}}Cf}{{{b{N`}}{b{N`}}}Cf}{{{b{Nb}}{b{Nb}}}Cf}{{{b{Ml}}{b{dl}}}{{A`{hn}}}}0{{{b{Nd}}{b{dl}}}{{A`{hn}}}}0{{{b{Mn}}{b{dl}}}{{A`{hn}}}}0{{{b{N`}}{b{dl}}}{{A`{hn}}}}0{{{b{Nb}}{b{dl}}}{{A`{hn}}}}0{{{Ef{Hn}}}Ml}{cc{}}0{NfNd}{{{Ch{MlNh}}}Nd}{{{Ch{cMlNh}}}Nd{{Dd{Bn}}}}{{{Ch{jc}}}Mn{{Dd{Bn}}}}4{{{Ch{Mnjc}}}N`{{Dd{Bn}}}}5{{{Ch{j{b{Bn}}}}}Nb}{{{Ch{j{b{Bn}}{Nj{MlEj}}}}}Nb}7{{{Ch{jEj}}}Nb}{{{Ch{jEj{Nj{MlEj}}}}}Nb}{{{b{Ml}}{b{dc}}}hNl}`{{}j}0000{ce{}{}}0000{{Hnj}Ml}{{{b{Ml}}{b{Ml}}}{{Ib{M`}}}}{{{b{Nd}}{b{Nd}}}{{Ib{M`}}}}{{{b{c}}}e{}{}}000{{{b{c}}}Ej{}}0000{c{{A`{e}}}{}{}}000000000{{{b{c}}}Ab{}}000077777`````````````````````````````````````````````````````````````````{{{Dh{c}}c}{{Dh{c}}}Bh}{{{b{{Dh{c}}}}{b{{Dh{c}}}}}{{Dh{c}}}Bh}{{{Dh{c}}{Dh{c}}}{{Dh{c}}}Bh}{{{b{{Dh{c}}}}c}{{Dh{c}}}Bh}{{{b{{Dh{c}}}}{Dh{c}}}{{Dh{c}}}Bh}{{{Dh{c}}{b{{Dh{c}}}}}{{Dh{c}}}Bh}{{{Nn{c}}{Nn{c}}}{{Nn{c}}}Bh}{{{b{d{Dh{c}}}}{Dh{c}}}hBh}{{{b{d{Dh{c}}}}{b{{Dh{c}}}}}hBh}{{{b{d{Kd{c}}}}}{{Ef{Ed}}}Bh}{{{b{d{Kd{c}}}}e}{{Ef{Ed}}}BhO`}{{{b{{Kd{c}}}}}{{If{Ob}}}Bh}`{{{b{{Kd{c}}}}}{{b{{If{{Ch{{Ef{Ed}}Od}}}}}}}Bh}{{{b{dIh}}e{Ef{Hn}}}h{{El{Ej}}}{{Dn{}{{Bj{c}}}}}}{{{b{d{Kd{c}}}}ei}hBh{{El{{Ef{Hn}}}}}{{El{Ej}}}{{C`{}{{Bj{g}}}}}}0{{{b{d{Kd{c}}}}Fdg}hBh{{El{Ej}}}{{C`{}{{Bj{e}}}}}}{{{b{dIh}}e{Ef{Ed}}jk}{{A`{hE`}}}{{El{Ej}}}{{Dn{}{{Bj{c}}}}}Bh{{El{{Dh{g}}}}}{{Dn{}{{Bj{{Dj{i}}}}}}}}{{{b{dIh}}e{Ef{Ff}}jk}{{A`{hE`}}}{{El{Ej}}}{{Dn{}{{Bj{c}}}}}Bh{{El{{Dh{g}}}}}{{Dn{}{{Bj{{Dj{i}}}}}}}}{{{b{{Kd{c}}}}}jBh}{{{b{c}}}{{b{e}}}{}{}}0000000000000000000000{{{b{dc}}}{{b{de}}}{}{}}00000000000000000000009`{{{b{d{Kd{c}}}}e}HlBhO`}{{{b{{Of{c}}}}}{{Of{c}}}{D`Bh}}{{{b{Hn}}}Hn}{{{b{{Oh{c}}}}}{{Oh{c}}}{D`Aj}}{{{b{{Oj{c}}}}}{{Oj{c}}}{D`Aj}}{{{b{{Dh{c}}}}}{{Dh{c}}}D`}{{{b{{Kd{c}}}}}{{Kd{c}}}{D`Bh}}{{{b{{Ef{c}}}}}{{Ef{c}}}{D`Ol}}{{{b{Gn}}}Gn}{{{b{On}}}On}{{{b{Fd}}}Fd}{{{b{Hl}}}Hl}{{{b{{Nn{c}}}}}{{Nn{c}}}D`}{{{b{Ed}}}Ed}{{{b{Ff}}}Ff}{{{b{F`}}}F`}{{{b{c}}{b{de}}}h{}{}}00000000000000{{{b{Hn}}{b{Hn}}}M`}{{{b{{Ef{c}}}}{b{{Ef{c}}}}}M`Ol}{{{b{Fd}}{b{Fd}}}M`}{{{b{On}}}j}`{{{b{{Ef{c}}}}}{{b{c}}}Ol}`{{{b{d{Kd{c}}}}}GnBh}{{{b{{Nn{c}}}}}jBh}{{{Kd{c}}{If{{If{Cf}}}}}{{Ch{{Kd{c}}{If{{If{c}}}}}}}Bh}{{{b{d{Kd{c}}}}}eBh{}}{{{b{d{Kd{c}}}}e}gBh{}{}}{{{b{{Kd{c}}}}}{{b{{If{{Ef{Ff}}}}}}}Bh}{{{b{dIh}}{Ef{Hn}}j{Ef{Hn}}j}{{A`{hE`}}}}{{{b{d{Kd{c}}}}ek}hBh{{Dd{Bn}}}{{El{{A@`{c}}}}}{{Hh{}{{Hf{g}}}}}{{Dn{{b{d{A@b{c}}}}}{{Bj{i}}}}}}{{b{b{Oj}}{b{{Cj{c}}}}{b{{Cj{{b{{Cj{{b{Cj}}}}}}}}}}e{b{di}}}{{A`{hA@d}}}IlDfA@f{{A@h{g}}}}{{{A@j{c}}b{b{Oj}}{b{{Cj{e}}}}{b{{Cj{{b{{Cj{{b{Cj}}}}}}}}}}g{b{dk}}}{{A`{hA@d}}}A@lIlDfA@f{{A@h{i}}}}{{{b{{Dh{c}}}}}{{Dh{c}}}Bh}{{{b{{Ef{c}}}}}{{Nn{e}}}OlBh}{{}{{Kd{c}}}Bh}{{{b{{Kd{c}}}}}jBh}<{{{b{{Dh{c}}}}}{{Ib{c}}}Bh}{j{{b{c}}}{}}0000000000000000000000{j{{b{dc}}}{}}0000000000000000000000>6{jh}0000000000000000000000{{{b{Gn}}{b{d{Eb{c}}}}j}{{A`{hE`}}}Bh}{{{b{d{Kd{c}}}}{Ef{Ff}}}hBh}{{{b{d{Kd{c}}}}e}hBh{{El{{Ef{Hn}}}}}}{{{b{dIh}}e{b{Gn}}j}{{A`{hE`}}}{{El{Ej}}}{{Dn{}{{Bj{c}}}}}}{{{b{dIh}}e}h{{El{Ej}}}{{Dn{}{{Bj{c}}}}}}{{{b{Hn}}{b{Hn}}}Cf}{{{b{{Dh{c}}}}{b{{Dh{c}}}}}CfBh}{{{b{{Ef{c}}}}{b{{Ef{c}}}}}Cf{A@nOl}}{{{b{Gn}}{b{Gn}}}Cf}{{{b{On}}{b{On}}}Cf}{{{b{Fd}}{b{Fd}}}Cf}{{{b{Hl}}{b{Hl}}}Cf}{{{b{{Nn{c}}}}{b{{Nn{c}}}}}CfA@n}{{{b{Ed}}{b{Ed}}}Cf}{{{b{Ff}}{b{Ff}}}Cf}{{{b{F`}}{b{F`}}}Cf}{{{Dh{c}}}cBh}{{{b{{Nn{c}}}}{b{g}}{b{i}}{b{k}}{b{m}}{b{o}}{b{Aa}}{b{Ac}}{b{Ae}}{b{Ag}}{b{Ai}}}eBh{}{{C`{c}{{Bj{e}}}}}{{C`{Gn}{{Bj{e}}}}}{{C`{On}{{Bj{e}}}}}{{C`{AA`}{{Bj{e}}}}}{{C`{AAb}{{Bj{e}}}}}{{C`{Hl}{{Bj{e}}}}}{{C`{e}{{Bj{e}}}}}{{C`{ee}{{Bj{e}}}}}{{C`{ee}{{Bj{e}}}}}{{C`{ec}{{Bj{e}}}}}}{{{b{{Nn{c}}}}{b{g}}{b{i}}{b{k}}{b{m}}{b{o}}{b{Aa}}{b{Ac}}{b{Ae}}{b{Ag}}{b{Ai}}{b{e}}}eBhA@n{{C`{c}{{Bj{e}}}}}{{C`{Gn}{{Bj{e}}}}}{{C`{On}{{Bj{e}}}}}{{C`{AA`}{{Bj{e}}}}}{{C`{AAb}{{Bj{e}}}}}{{C`{Hl}{{Bj{e}}}}}{{C`{e}{{Bj{e}}}}}{{C`{ee}{{Bj{e}}}}}{{C`{ee}{{Bj{e}}}}}{{C`{ec}{{Bj{e}}}}}}{{{b{dIh}}}h}{{{b{Gn}}}{{Nn{c}}}Bh}{{{b{Hl}}}{{Nn{c}}}Bh}{{{b{dIh}}{Ef{Ff}}j{Dj{{Dh{c}}}}}{{A`{hE`}}}Bh}{{{b{d{Kd{c}}}}}{{Ef{Ff}}}Bh}{{{b{{Oh{c}}}}}{{b{{If{c}}}}}Aj}{{{b{{Kd{c}}}}}{{b{{If{{Ch{{Ef{Ff}}Od}}}}}}}Bh}{{{b{A@d}}{b{dl}}}AAd}0{{{b{{Of{c}}}}{b{dl}}}{{A`{hn}}}{GhBh}}{{{b{Hn}}{b{dl}}}{{A`{hn}}}}{{{b{AAf}}{b{dl}}}{{A`{hn}}}}0{{{b{{Oh{c}}}}{b{dl}}}{{A`{hn}}}{GhAj}}{{{b{{Oj{c}}}}{b{dl}}}{{A`{hn}}}{GhAj}}{{{b{{Dh{c}}}}{b{dl}}}{{A`{hn}}}Gh}{{{b{{AAh{ceg}}}}{b{dl}}}{{A`{hn}}}{GhBh}{Gh{El{{A@`{c}}}}}{Gh{Hh{}{{Hf{e}}}}}}{{{b{{Kd{c}}}}{b{dl}}}{{A`{hn}}}{GhBh}}{{{b{{A@b{c}}}}{b{dl}}}{{A`{hn}}}{GhBh}}{{{b{{Ef{c}}}}{b{dl}}}{{A`{hn}}}{GhOl}}{{{b{AAj}}{b{dl}}}{{A`{hn}}}}{{{b{AAl}}{b{dl}}}{{A`{hn}}}}{{{b{AAn}}{b{dl}}}{{A`{hn}}}}{{{b{Gn}}{b{dl}}}{{A`{hn}}}}{{{b{On}}{b{dl}}}{{A`{hn}}}}{{{b{Fd}}{b{dl}}}{{A`{hn}}}}{{{b{Hl}}{b{dl}}}{{A`{hn}}}}{{{b{{Nn{c}}}}{b{dl}}}{{A`{hn}}}Gh}{{{b{Ed}}{b{dl}}}{{A`{hn}}}}{{{b{Ff}}{b{dl}}}{{A`{hn}}}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68,212,151,212,213,151,212,213,214,212,213,214,212,213,214,212,213,214,212,213,214,132,213,132,213],"f":"`````{{{b{c}}}{{b{e}}}{}{}}{{{b{dc}}}{{b{de}}}{}{}}`{{{b{f}}}f}{{{b{c}}{b{de}}}h{}{}}{j{{b{c}}}{}}{j{{b{dc}}}{}}`{jh}{{{b{f}}{b{dl}}}{{A`{hn}}}}{cc{}}`{{}j}{ce{}{}}``{{{b{c}}}e{}{}}`{c{{A`{e}}}{}{}}0{{{b{c}}}Ab{}}3````````````{{}c{}}000{{{b{{Aj{}{{Ad{c}}{Af{e}}{Ah{g}}}}}}}{{An{{Al{{Aj{}{{Ad{c}}{Af{e}}{Ah{g}}}}}}}}}{B`Bb}{B`Bb}{{Bf{}{{Bd{}}{Ad{}}}}}}{{{b{Bh}}}Bh}0{{{b{{Bf{}{{Ad{c}}{Af{e}}{Bd{g}}}}}}}{{Bf{}{{Ad{c}}{Af{e}}{Bd{g}}}}}B`B`{{Aj{}{{Ah{}}{Ad{}}{Bj{}}{Bj{}}}}{Bl{c}}{Bl{c}}}}{{cc}{{An{{Aj{}{{Ad{e}}{Af{c}}{Ah{g}}}}}}}{B`Bb}{B`Bb}{{Bf{}{{Bd{}}{Ad{}}}}}}{{{b{Bn}}}{{Cb{C`}}}}{{{b{Bh}}}{{An{Bh}}}}{{{b{{Bf{}{{Ad{c}}{Af{e}}{Bd{g}}}}}}}CdB`B`{{Aj{}{{Ah{}}{Ad{}}{Bj{}}{Bj{}}}}{Bl{c}}{Bl{c}}}}{{{b{{Aj{}{{Ad{c}}{Af{e}}{Ah{g}}}}}}}Cd{B`Bb}{B`Bb}{{Bf{}{{Bd{}}{Ad{}}}}}}{{{b{Bh}}}Cd}{{{b{Bh}}}Cf}{{{b{{Bf{}{{Ad{c}}{Af{e}}{Bd{g}}}}}}}{{Ch{eee}}}B`B`{{Aj{}{{Ah{}}{Ad{}}{Bj{}}{Bj{}}}}{Bl{c}}{Bl{c}}}}{{ccc}{{An{{Bf{}{{Ad{e}}{Af{c}}{Bd{g}}}}}}}B`B`{{Aj{}{{Ah{}}{Ad{}}{Bj{}}{Bj{}}}}{Bl{e}}{Bl{e}}}}{{{b{d{Cj{c}}}}e}hCl{{C`{{b{d{Cj{c}}}}j}}ClCnD`}}{{{b{Bh}}c}Bh{{Dd{{Cj{Db}}}}}}0{cBhDf}9{{{b{Bh}}}{{Ch{CdBh}}}}{{{b{Bh}}{b{Bh}}}{{Ch{CdBh}}}}?`````````````{{{Dj{{b{{Dh{c}}}}}}c}{}Bh}{{{Dj{{b{c}}}}{Dj{c}}}{}{}}{{{Dj{e}}{Dj{e}}}{}{}{{Dl{}{{Bj{c}}}}}}{{{Dj{{Dh{c}}}}c}{}Bh}{{{Dj{{Dh{c}}}}{Dj{c}}}{}Bh}{{{b{{Dj{c}}}}{b{{Dj{c}}}}}{}{}}{{{b{{Dj{c}}}}{Dj{c}}}{}{}}{{{Dj{{b{{Dh{c}}}}}}{Dj{c}}}{}Bh}{{{Dj{c}}{Dj{{b{c}}}}}{}{{Dl{b}{{Bj{}}}}}{}}{{{Dj{c}}{b{{Dj{c}}}}}{}{{Dl{b}{{Bj{}}}}}{}}{{{Dj{c}}g}{{Dj{e}}}{}{}{{Dn{c}{{Bj{{Dj{e}}}}}}}}{{{b{d{Dj{c}}}}}{{Dj{{b{dc}}}}}{}}{{{b{{Dj{c}}}}}{{Dj{{b{c}}}}}{}}{{{b{{Dj{c}}}}e}h{}{{Dn{{b{c}}}{{Bj{Cf}}}}}}{{{Dj{c}}}{{A`{cE`}}}{}}{{{b{d{Eb{c}}}}g{Ef{Ed}}jk}{{A`{{Eh{ic}}E`}}}Bh{{El{Ej}}}{{C`{}{{Bj{e}}}}}{}{{En{}{{Bj{{Dj{i}}}}}}}}{{{b{d{Eb{c}}}}g{Ef{Ed}}ji}{{A`{{Eh{ic}}E`}}}Bh{{El{Ej}}}{{C`{}{{Bj{e}}}}}{}}{{{b{d{Eb{c}}}}g{Ef{F`}}j{Ef{Ed}}j}{{A`{{Eh{cc}}E`}}}Bh{{El{Ej}}}{{C`{}{{Bj{e}}}}}}{{{b{d{Fb{c}}}}gFdjk}{{A`{hE`}}}Bh{{El{Ej}}}{{C`{}{{Bj{e}}}}}{{El{{Dh{c}}}}}{{En{}{{Bj{{Dj{i}}}}}}}}{{{b{d{Eb{c}}}}g{Ef{Ff}}jk}{{A`{{Eh{ic}}E`}}}Bh{{El{Ej}}}{{C`{}{{Bj{e}}}}}{}{{En{}{{Bj{{Dj{i}}}}}}}}{{{b{d{Fj{}{{Fh{c}}}}}}im}{{A`{kE`}}}{{Fj{e}}}Bh{{El{Ej}}}{{C`{}{{Bj{g}}}}}{}{{En{{Eb{e}}}{{Bj{{A`{kE`}}}}}}}}{{{b{d{Fl{ce}}}}im}{{A`{kE`}}}Bh{{Fj{c}}}{{El{Ej}}}{{C`{}{{Bj{g}}}}}{}{{En{{Eb{c}}}{{Bj{{A`{kE`}}}}}}}}{{{b{d{Fj{}{{Fh{c}}}}}}ik}{{A`{hE`}}}{{Fj{e}}}Bh{{El{Ej}}}{{C`{}{{Bj{g}}}}}{{En{{Fb{e}}}{{Bj{{A`{hE`}}}}}}}}{{{b{d{Fl{ce}}}}ik}{{A`{hE`}}}Bh{{Fj{c}}}{{El{Ej}}}{{C`{}{{Bj{g}}}}}{{En{{Fb{c}}}{{Bj{{A`{hE`}}}}}}}}{{{b{c}}}{{b{e}}}{}{}}0000000{{{b{dc}}}{{b{de}}}{}{}}0000000{{{b{{Eh{ce}}}}}Fn{}Bh}{{{b{{Dj{c}}}}}{{Dj{c}}}D`}{{{b{G`}}}G`}{{{b{Fn}}}Fn}{{{b{{Eh{ce}}}}}{{Eh{ce}}}D`{D`Bh}}{{{b{c}}{b{de}}}h{}{}}000{{{Dj{{b{dc}}}}}{{Dj{c}}}D`}{{{Dj{{b{c}}}}}{{Dj{c}}}D`}`{{{b{{Gf{}{{Gb{c}}{Gd{e}}}}}}}{{b{c}}}{GhD`}{GhD`}}{{{b{d{Eb{c}}}}Fne}{{A`{hE`}}}Bh{{El{{Dh{c}}}}}}{{{b{d{Eb{c}}}}FnFn}{{A`{hE`}}}Bh}{{{b{d{Fj{}{{Fh{c}}}}}}Fn{Ef{F`}}j}{{A`{hE`}}}{{Fj{e}}}Bh}{{{b{d{Fl{ce}}}}Fn{Ef{F`}}j}{{A`{hE`}}}Bh{{Fj{c}}}}{{{Dj{{b{dc}}}}}{{Dj{c}}}Gj}{{{Dj{{b{c}}}}}{{Dj{c}}}Gj}{{{b{{Eh{ce}}}}i{b{d{Eb{e}}}}{Ef{Ed}}j}{{A`{{Eh{ce}}E`}}}D`Bh{{El{Ej}}}{{C`{}{{Bj{g}}}}}}{{{b{{Dj{e}}}}}{{Dj{{Dh{c}}}}}Bh{{Gl{{Dh{c}}}}}}{{}{{Dj{c}}}{}}{j{{b{c}}}{}}0{{{b{G`}}}b}111111{j{{b{dc}}}{}}00000004{jh}000000{{{b{d{Fl{ce}}}}}hBh{{Fj{c}}}}1{{{b{d{Eb{c}}}}g{b{Gn}}j}{{A`{hE`}}}Bh{{El{Ej}}}{{C`{}{{Bj{e}}}}}}{{{b{{Dj{c}}}}e}{{A`{hE`}}}{}{{Dn{{b{c}}}{{Bj{Cf}}}}}}{{{Dj{{Dh{c}}}}}{{Dj{c}}}Bh}{{{Eh{{Dh{c}}c}}}{{Eh{cc}}}Bh}`{{{b{H`}}{b{dl}}}{{A`{hn}}}}{{{b{{Dj{c}}}}{b{dl}}}{{A`{hn}}}Gh}{{{b{G`}}{b{dl}}}{{A`{hn}}}}{{{b{Fn}}{b{dl}}}{{A`{hn}}}}{{{b{{Eh{ce}}}}{b{dl}}}{{A`{hn}}}Gh{GhBh}}{{{b{{Eb{c}}}}{b{dl}}}{{A`{hn}}}{GhBh}}{{{b{{Fb{c}}}}{b{dl}}}{{A`{hn}}}{GhBh}}{{{b{{Fl{ce}}}}{b{dl}}}{{A`{hn}}}{GhBh}{Gh{Fj{c}}}}{cc{}}{{{Dj{c}}}{{Dj{{Dh{c}}}}}Bh}11{jG`}22{{{b{dHb}}}{{Eb{c}}}Bh}33{{{b{dHd}}}{{Fb{c}}}Bh}4{e{{Dj{g}}}{}{{Hh{}{{Hf{{Dj{c}}}}}}}{{Hj{c}}}}{{{b{{Fj{}{{Fh{c}}}}}}Hl}{{Dj{e}}}{{Fj{e}}}Bh}{{{b{{Fl{ce}}}}Hl}{{Dj{c}}}Bh{{Fj{c}}}}{{{b{d{Fj{}{{Fh{c}}}}}}}{{b{dc}}}{{Fj{e}}}Bh}{{{b{d{Fl{ce}}}}}{{b{d}}}Bh{{Fj{c}}}}{{}j}0000000{{{b{d{Eb{c}}}}{Ef{F`}}j}{{A`{{Dj{c}}E`}}}Bh}{ce{}{}}0000000{{{Dj{e}}}{{Dj{{Dh{c}}}}}Bh{{El{{Dh{c}}}}}}{{{b{{Dj{e}}}}}{{Dj{{Dh{c}}}}}Bh{{Gl{{Dh{c}}}}}}{c{{Dj{c}}}{}}{{{b{{Gf{}{{Gb{c}}{Gd{e}}}}}}}{{b{e}}}{GhD`}{GhD`}}{{{Dj{c}}g}{{Dj{e}}}{}{}{{Dn{c}{{Bj{e}}}}}}{{{Dj{e}}{Dj{e}}}{}{}{{Bl{}{{Bj{c}}}}}}{{{Dj{{b{c}}}}{Dj{c}}}{}{}}{{{b{{Dj{c}}}}{Dj{c}}}{}{}}{{{Dj{{Dh{c}}}}c}{}Bh}{{{b{{Dj{c}}}}{b{{Dj{c}}}}}{}{}}{{{Dj{c}}{b{{Dj{c}}}}}{}{{Bl{b}{{Bj{}}}}}{}}{{{Dj{{b{{Dh{c}}}}}}c}{}Bh}{{{Dj{c}}{Dj{{b{c}}}}}{}{{Bl{b}{{Bj{}}}}}{}}{{{Dj{{Dh{c}}}}{Dj{c}}}{}Bh}{{{Dj{{b{{Dh{c}}}}}}{Dj{c}}}{}Bh}{{{b{d{Eb{c}}}}gi}hBh{{El{Ej}}}{{C`{}{{Bj{e}}}}}{{El{{Ef{Hn}}}}}}{{{b{d{Fj{}{{Fh{c}}}}}}i}{{Fl{ec}}}{{Fj{e}}}Bh{{El{Ej}}}{{Dn{}{{Bj{g}}}}}}{{{Dj{c}}}{}I`}{{{b{d{Fj{}{{Fh{c}}}}}}{Ib{Ej}}}h{{Fj{e}}}Bh}{{{b{d{Fl{ce}}}}{Ib{Ej}}}hBh{{Fj{c}}}}{{{b{d{Fj{}{{Fh{c}}}}}}i}h{{Fj{e}}}Bh{{El{Ej}}}{{Dn{}{{Bj{g}}}}}}{{{b{d{Fl{ce}}}}i}hBh{{Fj{c}}}{{El{Ej}}}{{Dn{}{{Bj{g}}}}}}``{{{b{{Dj{e}}}}}{{Dj{{Dh{c}}}}}Bh{{Gl{{Dh{c}}}}}}>{{{Dj{e}}{Dj{e}}}{}{}{{Id{}{{Bj{c}}}}}}{{{Dj{{b{c}}}}{Dj{c}}}{}{}}{{{b{{Dj{c}}}}{Dj{c}}}{}{}}{{{Dj{c}}{b{{Dj{c}}}}}{}{{Id{b}{{Bj{}}}}}{}}<{{{b{{Dj{c}}}}{b{{Dj{c}}}}}{}{}}{{{Dj{c}}{Dj{{b{c}}}}}{}{{Id{b}{{Bj{}}}}}{}}?{{{Dj{{b{{Dh{c}}}}}}c}{}Bh}{{{b{de}}{b{g}}{If{{Ef{Ff}}}}}{{A`{hE`}}}Bh{{Ih{c}}Ij}{{Il{c}}}}{{{b{{Dj{c}}}}}{{Dj{{Dh{e}}}}}{}Bh}{{{b{c}}}e{}{}}000{{{Dj{{In{c}}}}}{{In{{Dj{c}}}}}Gj}{{{Dj{e}}j}{{If{{Dj{c}}}}}{}{{Hh{}{{Hf{c}}}}}}{c{{A`{e}}}{}{}}000000000000000{{{b{c}}}Ab{}}0000000{{}{{Dj{c}}}{}}{{{Dj{{Ch{ce}}}}}{{Ch{{Dj{c}}{Dj{e}}}}}{}{}}{{{b{{Eh{ce}}}}}{{Dj{{b{c}}}}}{}Bh}{{{b{{Eh{ce}}}}}{{Dj{{Dh{e}}}}}{}Bh}{ce{}{}}0000000{{{Dj{c}}{Dj{e}}}{{Dj{{Ch{ce}}}}}{}{}}``{{{b{d{J`{ce}}}}im}{{A`{kE`}}}Bh{{Ih{c}}Ij}{{El{Ej}}}{{C`{}{{Bj{g}}}}}{}{{En{{Eb{c}}}{{Bj{{A`{kE`}}}}}}}}{{{b{d{J`{ce}}}}ik}{{A`{hE`}}}Bh{{Ih{c}}Ij}{{El{Ej}}}{{C`{}{{Bj{g}}}}}{{En{{Fb{c}}}{{Bj{{A`{hE`}}}}}}}}{{{b{c}}}{{b{e}}}{}{}}0{{{b{dc}}}{{b{de}}}{}{}}0{{{b{d{J`{ce}}}}Fn{Ef{F`}}j}{{A`{hE`}}}Bh{{Ih{c}}Ij}}{j{{b{c}}}{}}0{j{{b{dc}}}{}}0{jh}0{{{b{Jb}}{b{dl}}}{{A`{hn}}}}{{{b{{J`{ce}}}}{b{dl}}}{{A`{hn}}}{GhBh}{Gh{Ih{c}}}}{cc{}}0{{{b{{J`{ce}}}}Hl}{{Dj{c}}}Bh{{Ih{c}}Ij}}{{{b{d{J`{ce}}}}}{{b{d}}}Bh{{Ih{c}}Ij}}{{}j}0??{{{b{d{J`{ce}}}}{Ib{Ej}}}hBh{{Ih{c}}Ij}}{{{b{d{J`{ce}}}}i}hBh{{Ih{c}}Ij}{{El{Ej}}}{{Dn{}{{Bj{g}}}}}}`{{{b{de}}{b{g}}{If{{Ef{Ff}}}}}{{A`{hE`}}}Bh{{Ih{c}}Ij}{{Il{c}}}}{c{{A`{e}}}{}{}}000{{{b{c}}}Ab{}}0`{ce{}{}}0``{{{b{d{Jd{ce}}}}im}{{A`{kE`}}}Bh{{Ih{c}}Ij}{{El{Ej}}}{{C`{}{{Bj{g}}}}}{}{{En{{Eb{c}}}{{Bj{{A`{kE`}}}}}}}}{{{b{d{Jd{ce}}}}ik}{{A`{hE`}}}Bh{{Ih{c}}Ij}{{El{Ej}}}{{C`{}{{Bj{g}}}}}{{En{{Fb{c}}}{{Bj{{A`{hE`}}}}}}}}{{{b{c}}}{{b{e}}}{}{}}{{{b{dc}}}{{b{de}}}{}{}}{{{b{d{Jd{ce}}}}Fn{Ef{F`}}j}{{A`{hE`}}}Bh{{Ih{c}}Ij}}{j{{b{c}}}{}}{j{{b{dc}}}{}}{jh}{{{b{{Jd{ce}}}}{b{dl}}}{{A`{hn}}}Bh{{Ih{c}}}}{cc{}}{{{b{{Jd{ce}}}}Hl}{{Dj{c}}}Bh{{Ih{c}}Ij}}{{{b{d{Jd{ce}}}}}{{b{d}}}Bh{{Ih{c}}Ij}}{{}j}={{{b{de}}{If{{Ef{Ff}}}}}{{A`{{Jd{ce}}E`}}}Bh{{Ih{c}}}}{{{b{d{Jd{ce}}}}{Ib{Ej}}}hBh{{Ih{c}}Ij}}{{{b{d{Jd{ce}}}}i}hBh{{Ih{c}}Ij}{{El{Ej}}}{{Dn{}{{Bj{g}}}}}}{c{{A`{e}}}{}{}}0{{{b{c}}}Ab{}}{ce{}{}}````{{{b{c}}}{{b{e}}}{}{}}0{{{b{dc}}}{{b{de}}}{}{}}0??>>=={{{b{Jf}}{b{dl}}}{{A`{hn}}}}{{{b{{Jh{ce}}}}{b{dl}}}{{A`{hn}}}{GhBh}{Gh{Ih{c}}}}==::44`66665544`````````````{{{b{{Jj{c}}}}}{{b{{If{{If{{Jl{c}}}}}}}}}{JnBb}}{{{b{{Jj{c}}}}{Ef{Ed}}}{{b{{Cj{{Jl{c}}}}}}}{JnBb}}{{{b{d{Jj{c}}}}g{Ef{Hn}}}hBh{{El{Ej}}}{{Dn{}{{Bj{e}}}}}}{{{b{{Jj{c}}}}}h{JnBb}}{{{b{{Jj{c}}}}ee}h{JnBb}{D`{K`{}{{Hf{j}}}}}}{{{b{d{Jj{c}}}}g{Ef{Ed}}jk}{{A`{hE`}}}Bh{{El{Ej}}}{{Dn{}{{Bj{e}}}}}{{El{{Dh{c}}}}}{{Dn{}{{Bj{{Dj{i}}}}}}}}{{{b{d{Jj{c}}}}g{Ef{Ff}}jk}{{A`{hE`}}}Bh{{El{Ej}}}{{Dn{}{{Bj{e}}}}}{{El{{Dh{c}}}}}{{Dn{}{{Bj{{Dj{i}}}}}}}}::::9999{{{b{e}}}EjBh{{Il{c}}}}{{{b{Kb}}}Kb}{{{b{c}}{b{de}}}h{}{}}{{{b{d{Jj{c}}}}{Ef{Hn}}j{Ef{Hn}}j}{{A`{hE`}}}Bh}`{{{b{{Jj{c}}}}}{{b{{Kd{c}}}}}{JnBb}}{{}Kf}{j{{b{c}}}{}}000{j{{b{dc}}}{}}000{jh}000{{{b{Kh}}{b{{Jj{c}}}}}hBh}{{{b{d{Jj{c}}}}g{b{Gn}}j}{{A`{hE`}}}Bh{{El{Ej}}}{{Dn{}{{Bj{e}}}}}}{{{b{d{Jj{c}}}}g}hBh{{El{Ej}}}{{Dn{}{{Bj{e}}}}}}{{{b{Kb}}{b{Kb}}}Cf}{{{b{Kh}}{b{Kh}}}Cf}{{{b{d{Jj{c}}}}}hBh}{{{b{d{Jj{c}}}}{Ef{Ff}}j{Dj{{Dh{c}}}}}{{A`{hE`}}}Bh}{{{b{{Jj{c}}}}}{{b{{If{{If{{Jl{c}}}}}}}}}{JnBb}}{{{b{{Jj{c}}}}{Ef{Ff}}}{{b{{Cj{{Jl{c}}}}}}}{JnBb}}{{{b{Kb}}{b{dl}}}{{A`{hn}}}}0{{{b{Kh}}{b{dl}}}{{A`{hn}}}}0{{{b{Kf}}{b{dl}}}{{A`{hn}}}}{{{b{{Jj{c}}}}{b{dl}}}{{A`{hn}}}{GhBh}}{cc{}}000{{{b{{Jj{c}}}}Hl}{{Dj{c}}}Bh}{{}j}000{{{b{{Jj{c}}}}}{{b{{If{{If{{Kj{c}}}}}}}}}{JnBb}}{ce{}{}}000{{KfCf}Kf}`{{{b{d{Jj{c}}}}{Ib{Ej}}}hBh}{{{b{d{Jj{c}}}}g}hBh{{El{Ej}}}{{Dn{}{{Bj{e}}}}}}{{{b{{Jj{c}}}}{Ef{F`}}j}{{A`{{Dj{c}}E`}}}Bh}{{KfKl{b{e}}{b{{L`{gKn}}}}}{{A`{hLb}}}Bh{{Il{c}}}Ld}{{Kl{b{e}}{If{{If{c}}}}}{{A`{{Jj{c}}E`}}}{JnBb}{{Il{c}}}}{{{b{{Jj{c}}}}}{{b{{If{{If{Cf}}}}}}}{JnBb}}66{{{b{c}}}e{}{}}{{{b{c}}}Ej{}}0{c{{A`{e}}}{}{}}0000000{{{b{c}}}Ab{}}000{{{b{{Jj{c}}}}}{{b{{Lf{j}}}}}{JnBb}}{{{b{{Jj{c}}}}}{{A`{h{If{Kh}}}}}{JnBb}}{{{b{{Jj{c}}}}ee}{{A`{h{If{Kh}}}}}{JnBb}{D`{K`{}{{Hf{j}}}}}}{{Kf{Lf{j}}}Kf}0????`````````````````````````````````````{{{b{c}}}{{b{e}}}{}{}}000000{{{b{dc}}}{{b{de}}}{}{}}000000{{{b{Lh}}}Lh}{{{b{Lj}}}Lj}{{{b{Ll}}}Ll}{{{b{Ln}}}Ln}{{{b{c}}{b{de}}}h{}{}}000{{{b{Lh}}{b{Lh}}}M`}`{j{{b{c}}}{}}000000{j{{b{dc}}}{}}000000{c{{A`{Ll}}}Mb}{c{{A`{Md}}}Mb}{jh}000000{{{b{Mf}}{b{Mf}}}Cf}{{{b{Lh}}{b{Lh}}}Cf}`{{{b{Mf}}{b{dl}}}{{A`{hn}}}}{{{b{Mh}}{b{dl}}}{{A`{hn}}}}{{{b{Lh}}{b{dl}}}{{A`{hn}}}}{{{b{Lj}}{b{dl}}}{{A`{hn}}}}{{{b{Ll}}{b{dl}}}{{A`{hn}}}}{{{b{Ln}}{b{dl}}}{{A`{hn}}}}{{{b{Md}}{b{dl}}}{{A`{hn}}}}{cc{}}000000{{Kl{b{e}}{If{{If{c}}}}}Mh{BbBhJn}{{Il{c}}}}{{Kl{b{e}}{If{{If{c}}}}Mf}Md{BbBhJn}{{Il{c}}}}{{{b{Bn}}}{{A`{Lh}}}}`{{}j}000000`{ce{}{}}000000{{{b{Mh}}Mf}Md}``````{{{b{Lh}}{b{Lh}}}{{Ib{M`}}}}````{{{b{Ll}}c}A`Mj}{{{b{Md}}c}A`Mj}```{{{b{c}}}e{}{}}000{c{{A`{e}}}{}{}}0000000000000{{{b{c}}}Ab{}}0000007777777`````{{{b{c}}}{{b{e}}}{}{}}0000{{{b{dc}}}{{b{de}}}{}{}}0000{{{b{Ml}}}Ml}{{{b{Mn}}}Mn}{{{b{N`}}}N`}{{{b{Nb}}}Nb}{{{b{c}}{b{de}}}h{}{}}000{{{b{Ml}}{b{Ml}}}M`}{{{b{Nd}}{b{Nd}}}M`}`{j{{b{c}}}{}}0000{j{{b{dc}}}{}}0000{jh}0000{{{b{Ml}}{b{Ml}}}Cf}{{{b{Nd}}{b{Nd}}}Cf}{{{b{Mn}}{b{Mn}}}Cf}{{{b{N`}}{b{N`}}}Cf}{{{b{Nb}}{b{Nb}}}Cf}{{{b{Ml}}{b{dl}}}{{A`{hn}}}}0{{{b{Nd}}{b{dl}}}{{A`{hn}}}}0{{{b{Mn}}{b{dl}}}{{A`{hn}}}}0{{{b{N`}}{b{dl}}}{{A`{hn}}}}0{{{b{Nb}}{b{dl}}}{{A`{hn}}}}0{{{Ef{Hn}}}Ml}{cc{}}0{NfNd}{{{Ch{MlNh}}}Nd}{{{Ch{cMlNh}}}Nd{{Dd{Bn}}}}{{{Ch{jc}}}Mn{{Dd{Bn}}}}4{{{Ch{Mnjc}}}N`{{Dd{Bn}}}}5{{{Ch{j{b{Bn}}}}}Nb}{{{Ch{j{b{Bn}}{Nj{MlEj}}}}}Nb}7{{{Ch{jEj}}}Nb}{{{Ch{jEj{Nj{MlEj}}}}}Nb}{{{b{Ml}}{b{dc}}}hNl}`{{}j}0000{ce{}{}}0000{{Hnj}Ml}{{{b{Ml}}{b{Ml}}}{{Ib{M`}}}}{{{b{Nd}}{b{Nd}}}{{Ib{M`}}}}{{{b{c}}}e{}{}}000{{{b{c}}}Ej{}}0000{c{{A`{e}}}{}{}}000000000{{{b{c}}}Ab{}}000077777`````````````````````````````````````````````````````````````````{{{Dh{c}}c}{{Dh{c}}}Bh}{{{b{{Dh{c}}}}{b{{Dh{c}}}}}{{Dh{c}}}Bh}{{{Dh{c}}{Dh{c}}}{{Dh{c}}}Bh}{{{b{{Dh{c}}}}c}{{Dh{c}}}Bh}{{{b{{Dh{c}}}}{Dh{c}}}{{Dh{c}}}Bh}{{{Dh{c}}{b{{Dh{c}}}}}{{Dh{c}}}Bh}{{{Nn{c}}{Nn{c}}}{{Nn{c}}}Bh}{{{b{d{Dh{c}}}}{Dh{c}}}hBh}{{{b{d{Dh{c}}}}{b{{Dh{c}}}}}hBh}{{{b{d{Kd{c}}}}}{{Ef{Ed}}}Bh}{{{b{d{Kd{c}}}}e}{{Ef{Ed}}}BhO`}{{{b{{Kd{c}}}}}{{If{Ob}}}Bh}`{{{b{{Kd{c}}}}}{{b{{If{{Ch{{Ef{Ed}}Od}}}}}}}Bh}{{{b{dIh}}e{Ef{Hn}}}h{{El{Ej}}}{{Dn{}{{Bj{c}}}}}}{{{b{d{Kd{c}}}}ei}hBh{{El{{Ef{Hn}}}}}{{El{Ej}}}{{C`{}{{Bj{g}}}}}}0{{{b{d{Kd{c}}}}Fdg}hBh{{El{Ej}}}{{C`{}{{Bj{e}}}}}}{{{b{dIh}}e{Ef{Ed}}jk}{{A`{hE`}}}{{El{Ej}}}{{Dn{}{{Bj{c}}}}}Bh{{El{{Dh{g}}}}}{{Dn{}{{Bj{{Dj{i}}}}}}}}{{{b{dIh}}e{Ef{Ff}}jk}{{A`{hE`}}}{{El{Ej}}}{{Dn{}{{Bj{c}}}}}Bh{{El{{Dh{g}}}}}{{Dn{}{{Bj{{Dj{i}}}}}}}}{{{b{{Kd{c}}}}}jBh}{{{b{c}}}{{b{e}}}{}{}}0000000000000000000000{{{b{dc}}}{{b{de}}}{}{}}00000000000000000000009`{{{b{d{Kd{c}}}}e}HlBhO`}{{{b{{Of{c}}}}}{{Of{c}}}{D`Bh}}{{{b{Hn}}}Hn}{{{b{{Oh{c}}}}}{{Oh{c}}}{D`Aj}}{{{b{{Oj{c}}}}}{{Oj{c}}}{D`Aj}}{{{b{{Dh{c}}}}}{{Dh{c}}}D`}{{{b{{Kd{c}}}}}{{Kd{c}}}{D`Bh}}{{{b{{Ef{c}}}}}{{Ef{c}}}{D`Ol}}{{{b{Gn}}}Gn}{{{b{On}}}On}{{{b{Fd}}}Fd}{{{b{Hl}}}Hl}{{{b{{Nn{c}}}}}{{Nn{c}}}D`}{{{b{Ed}}}Ed}{{{b{Ff}}}Ff}{{{b{F`}}}F`}{{{b{c}}{b{de}}}h{}{}}00000000000000{{{b{Hn}}{b{Hn}}}M`}{{{b{{Ef{c}}}}{b{{Ef{c}}}}}M`Ol}{{{b{Fd}}{b{Fd}}}M`}{{{b{On}}}j}`{{{b{{Ef{c}}}}}{{b{c}}}Ol}`{{{b{d{Kd{c}}}}}GnBh}{{{b{{Nn{c}}}}}jBh}{{{Kd{c}}{If{{If{Cf}}}}}{{Ch{{Kd{c}}{If{{If{c}}}}}}}Bh}{{{b{d{Kd{c}}}}}eBh{}}{{{b{d{Kd{c}}}}e}gBh{}{}}{{{b{{Kd{c}}}}}{{b{{If{{Ef{Ff}}}}}}}Bh}{{{b{dIh}}{Ef{Hn}}j{Ef{Hn}}j}{{A`{hE`}}}}{{{b{d{Kd{c}}}}ek}hBh{{Dd{Bn}}}{{El{{A@`{c}}}}}{{Hh{}{{Hf{g}}}}}{{Dn{{b{d{A@b{c}}}}}{{Bj{i}}}}}}{{b{b{Oj}}{b{{Cj{c}}}}{b{{Cj{{If{If}}}}}}e{b{di}}}{{A`{hA@d}}}IlDfA@f{{A@h{g}}}}{{{A@j{c}}b{b{Oj}}{b{{Cj{e}}}}{b{{Cj{{If{If}}}}}}g{b{dk}}}{{A`{hA@d}}}A@lIlDfA@f{{A@h{i}}}}{{{b{{Dh{c}}}}}{{Dh{c}}}Bh}{{{b{{Ef{c}}}}}{{Nn{e}}}OlBh}{{}{{Kd{c}}}Bh}{{{b{{Kd{c}}}}}jBh}<{{{b{{Dh{c}}}}}{{Ib{c}}}Bh}{j{{b{c}}}{}}0000000000000000000000{j{{b{dc}}}{}}0000000000000000000000>6{jh}0000000000000000000000{{{b{Gn}}{b{d{Eb{c}}}}j}{{A`{hE`}}}Bh}{{{b{d{Kd{c}}}}{Ef{Ff}}}hBh}{{{b{d{Kd{c}}}}e}hBh{{El{{Ef{Hn}}}}}}{{{b{dIh}}e{b{Gn}}j}{{A`{hE`}}}{{El{Ej}}}{{Dn{}{{Bj{c}}}}}}{{{b{dIh}}e}h{{El{Ej}}}{{Dn{}{{Bj{c}}}}}}{{{b{Hn}}{b{Hn}}}Cf}{{{b{{Dh{c}}}}{b{{Dh{c}}}}}CfBh}{{{b{{Ef{c}}}}{b{{Ef{c}}}}}Cf{A@nOl}}{{{b{Gn}}{b{Gn}}}Cf}{{{b{On}}{b{On}}}Cf}{{{b{Fd}}{b{Fd}}}Cf}{{{b{Hl}}{b{Hl}}}Cf}{{{b{{Nn{c}}}}{b{{Nn{c}}}}}CfA@n}{{{b{Ed}}{b{Ed}}}Cf}{{{b{Ff}}{b{Ff}}}Cf}{{{b{F`}}{b{F`}}}Cf}{{{Dh{c}}}cBh}{{{b{{Nn{c}}}}{b{g}}{b{i}}{b{k}}{b{m}}{b{o}}{b{Aa}}{b{Ac}}{b{Ae}}{b{Ag}}{b{Ai}}}eBh{}{{C`{c}{{Bj{e}}}}}{{C`{Gn}{{Bj{e}}}}}{{C`{On}{{Bj{e}}}}}{{C`{AA`}{{Bj{e}}}}}{{C`{AAb}{{Bj{e}}}}}{{C`{Hl}{{Bj{e}}}}}{{C`{e}{{Bj{e}}}}}{{C`{ee}{{Bj{e}}}}}{{C`{ee}{{Bj{e}}}}}{{C`{ec}{{Bj{e}}}}}}{{{b{{Nn{c}}}}{b{g}}{b{i}}{b{k}}{b{m}}{b{o}}{b{Aa}}{b{Ac}}{b{Ae}}{b{Ag}}{b{Ai}}{b{e}}}eBhA@n{{C`{c}{{Bj{e}}}}}{{C`{Gn}{{Bj{e}}}}}{{C`{On}{{Bj{e}}}}}{{C`{AA`}{{Bj{e}}}}}{{C`{AAb}{{Bj{e}}}}}{{C`{Hl}{{Bj{e}}}}}{{C`{e}{{Bj{e}}}}}{{C`{ee}{{Bj{e}}}}}{{C`{ee}{{Bj{e}}}}}{{C`{ec}{{Bj{e}}}}}}{{{b{dIh}}}h}{{{b{Gn}}}{{Nn{c}}}Bh}{{{b{Hl}}}{{Nn{c}}}Bh}{{{b{dIh}}{Ef{Ff}}j{Dj{{Dh{c}}}}}{{A`{hE`}}}Bh}{{{b{d{Kd{c}}}}}{{Ef{Ff}}}Bh}{{{b{{Oh{c}}}}}{{b{{If{c}}}}}Aj}{{{b{{Kd{c}}}}}{{b{{If{{Ch{{Ef{Ff}}Od}}}}}}}Bh}{{{b{A@d}}{b{dl}}}AAd}0{{{b{{Of{c}}}}{b{dl}}}{{A`{hn}}}{GhBh}}{{{b{Hn}}{b{dl}}}{{A`{hn}}}}{{{b{AAf}}{b{dl}}}{{A`{hn}}}}0{{{b{{Oh{c}}}}{b{dl}}}{{A`{hn}}}{GhAj}}{{{b{{Oj{c}}}}{b{dl}}}{{A`{hn}}}{GhAj}}{{{b{{Dh{c}}}}{b{dl}}}{{A`{hn}}}Gh}{{{b{{AAh{ceg}}}}{b{dl}}}{{A`{hn}}}{GhBh}{Gh{El{{A@`{c}}}}}{Gh{Hh{}{{Hf{e}}}}}}{{{b{{Kd{c}}}}{b{dl}}}{{A`{hn}}}{GhBh}}{{{b{{A@b{c}}}}{b{dl}}}{{A`{hn}}}{GhBh}}{{{b{{Ef{c}}}}{b{dl}}}{{A`{hn}}}{GhOl}}{{{b{AAj}}{b{dl}}}{{A`{hn}}}}{{{b{AAl}}{b{dl}}}{{A`{hn}}}}{{{b{AAn}}{b{dl}}}{{A`{hn}}}}{{{b{Gn}}{b{dl}}}{{A`{hn}}}}{{{b{On}}{b{dl}}}{{A`{hn}}}}{{{b{Fd}}{b{dl}}}{{A`{hn}}}}{{{b{Hl}}{b{dl}}}{{A`{hn}}}}{{{b{{Nn{c}}}}{b{dl}}}{{A`{hn}}}Gh}{{{b{Ed}}{b{dl}}}{{A`{hn}}}}{{{b{Ff}}{b{dl}}}{{A`{hn}}}}{{{b{F`}}{b{dl}}}{{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]'));
if (typeof exports !== 'undefined') exports.searchIndex = searchIndex;
diff --git a/src/halo2_backend/plonk/prover.rs.html b/src/halo2_backend/plonk/prover.rs.html
index 9f5d7abda2..23cd3cada0 100644
--- a/src/halo2_backend/plonk/prover.rs.html
+++ b/src/halo2_backend/plonk/prover.rs.html
@@ -926,14 +926,6 @@
<a href="#910" id="910">910</a>
<a href="#911" id="911">911</a>
<a href="#912" id="912">912</a>
-<a href="#913" id="913">913</a>
-<a href="#914" id="914">914</a>
-<a href="#915" id="915">915</a>
-<a href="#916" id="916">916</a>
-<a href="#917" id="917">917</a>
-<a href="#918" id="918">918</a>
-<a href="#919" id="919">919</a>
-<a href="#920" id="920">920</a>
</pre></div><pre class="rust"><code><span class="doccomment">//! Generate a proof
</span><span class="kw">use </span>group::prime::PrimeCurveAffine;
@@ -1004,9 +996,7 @@
engine: PlonkEngine<Scheme::Curve, M>,
params: <span class="kw-2">&</span><span class="lifetime">'params </span>Scheme::ParamsProver,
pk: <span class="kw-2">&</span><span class="lifetime">'a </span>ProvingKey<Scheme::Curve>,
- <span class="comment">// TODO: If this was a vector the usage would be simpler
- // https://github.com/privacy-scaling-explorations/halo2/issues/265
- </span>instance: <span class="kw-2">&</span>[<span class="kw-2">&</span>[Scheme::Scalar]],
+ instance: Vec<Vec<Scheme::Scalar>>,
rng: R,
transcript: <span class="kw-2">&</span><span class="lifetime">'a </span><span class="kw-2">mut </span>T,
) -> <span class="prelude-ty">Result</span><<span class="self">Self</span>, Error>
@@ -1026,9 +1016,7 @@
<span class="kw">pub fn </span>new(
params: <span class="kw-2">&</span><span class="lifetime">'params </span>Scheme::ParamsProver,
pk: <span class="kw-2">&</span><span class="lifetime">'a </span>ProvingKey<Scheme::Curve>,
- <span class="comment">// TODO: If this was a vector the usage would be simpler
- // https://github.com/privacy-scaling-explorations/halo2/issues/265
- </span>instance: <span class="kw-2">&</span>[<span class="kw-2">&</span>[Scheme::Scalar]],
+ instance: Vec<Vec<Scheme::Scalar>>,
rng: R,
transcript: <span class="kw-2">&</span><span class="lifetime">'a </span><span class="kw-2">mut </span>T,
) -> <span class="prelude-ty">Result</span><ProverSingle<<span class="lifetime">'a</span>, <span class="lifetime">'params</span>, Scheme, P, E, R, T, H2cEngine>, Error>
@@ -1111,9 +1099,7 @@
engine: PlonkEngine<Scheme::Curve, M>,
params: <span class="kw-2">&</span><span class="lifetime">'params </span>Scheme::ParamsProver,
pk: <span class="kw-2">&</span><span class="lifetime">'a </span>ProvingKey<Scheme::Curve>,
- <span class="comment">// TODO: If this was a vector the usage would be simpler.
- // https://github.com/privacy-scaling-explorations/halo2/issues/265
- </span>circuits_instances: <span class="kw-2">&</span>[<span class="kw-2">&</span>[<span class="kw-2">&</span>[Scheme::Scalar]]],
+ circuits_instances: <span class="kw-2">&</span>[Vec<Vec<Scheme::Scalar>>],
rng: R,
transcript: <span class="kw-2">&</span><span class="lifetime">'a </span><span class="kw-2">mut </span>T,
) -> <span class="prelude-ty">Result</span><<span class="self">Self</span>, Error>
@@ -1137,7 +1123,7 @@
<span class="comment">// commit_instance_fn is a helper function to return the polynomials (and its commitments) of
// instance columns while updating the transcript.
</span><span class="kw">let </span><span class="kw-2">mut </span>commit_instance_fn =
- |instance: <span class="kw-2">&</span>[<span class="kw-2">&</span>[Scheme::Scalar]]| -> <span class="prelude-ty">Result</span><InstanceSingle<Scheme::Curve>, Error> {
+ |instance: <span class="kw-2">&</span>[Vec<Scheme::Scalar>]| -> <span class="prelude-ty">Result</span><InstanceSingle<Scheme::Curve>, Error> {
<span class="comment">// Create a lagrange polynomial for each instance column
</span><span class="kw">let </span>instance_values = instance
@@ -1841,9 +1827,7 @@
</span><span class="kw">pub fn </span>new(
params: <span class="kw-2">&</span><span class="lifetime">'params </span>Scheme::ParamsProver,
pk: <span class="kw-2">&</span><span class="lifetime">'a </span>ProvingKey<Scheme::Curve>,
- <span class="comment">// TODO: If this was a vector the usage would be simpler.
- // https://github.com/privacy-scaling-explorations/halo2/issues/265
- </span>circuits_instances: <span class="kw-2">&</span>[<span class="kw-2">&</span>[<span class="kw-2">&</span>[Scheme::Scalar]]],
+ circuits_instances: <span class="kw-2">&</span>[Vec<Vec<Scheme::Scalar>>],
rng: R,
transcript: <span class="kw-2">&</span><span class="lifetime">'a </span><span class="kw-2">mut </span>T,
) -> <span class="prelude-ty">Result</span><Prover<<span class="lifetime">'a</span>, <span class="lifetime">'params</span>, Scheme, P, E, R, T, H2cEngine>, Error>
diff --git a/src/halo2_backend/plonk/verifier.rs.html b/src/halo2_backend/plonk/verifier.rs.html
index 083cc91281..db5b447a5d 100644
--- a/src/halo2_backend/plonk/verifier.rs.html
+++ b/src/halo2_backend/plonk/verifier.rs.html
@@ -532,6 +532,9 @@
<a href="#516" id="516">516</a>
<a href="#517" id="517">517</a>
<a href="#518" id="518">518</a>
+<a href="#519" id="519">519</a>
+<a href="#520" id="520">520</a>
+<a href="#521" id="521">521</a>
</pre></div><pre class="rust"><code><span class="doccomment">//! Verify a plonk proof
</span><span class="kw">use </span>group::prime::PrimeCurveAffine;
@@ -568,7 +571,7 @@
params: <span class="kw-2">&</span><span class="lifetime">'params </span>Scheme::ParamsVerifier,
vk: <span class="kw-2">&</span>VerifyingKey<Scheme::Curve>,
strategy: Strategy,
- instance: <span class="kw-2">&</span>[<span class="kw-2">&</span>[Scheme::Scalar]],
+ instance: Vec<Vec<Scheme::Scalar>>,
transcript: <span class="kw-2">&mut </span>T,
) -> <span class="prelude-ty">Result</span><Strategy::Output, Error>
<span class="kw">where
@@ -594,7 +597,7 @@
params: <span class="kw-2">&</span><span class="lifetime">'params </span>Scheme::ParamsVerifier,
vk: <span class="kw-2">&</span>VerifyingKey<Scheme::Curve>,
strategy: Strategy,
- instances: <span class="kw-2">&</span>[<span class="kw-2">&</span>[<span class="kw-2">&</span>[Scheme::Scalar]]],
+ instances: <span class="kw-2">&</span>[Vec<Vec<Scheme::Scalar>>],
transcript: <span class="kw-2">&mut </span>T,
) -> <span class="prelude-ty">Result</span><Strategy::Output, Error>
<span class="kw">where
@@ -835,9 +838,12 @@
.instance_queries
.iter()
.map(|(column, rotation)| {
- <span class="kw">let </span>instances = instances[column.index];
+ <span class="kw">let </span>instances = <span class="kw-2">&</span>instances[column.index];
<span class="kw">let </span>offset = (max_rotation - rotation.<span class="number">0</span>) <span class="kw">as </span>usize;
- compute_inner_product(instances, <span class="kw-2">&</span>l_i_s[offset..offset + instances.len()])
+ compute_inner_product(
+ instances.as_slice(),
+ <span class="kw-2">&</span>l_i_s[offset..offset + instances.len()],
+ )
})
.collect::<Vec<<span class="kw">_</span>>>()
})
diff --git a/src/halo2_backend/plonk/verifier/batch.rs.html b/src/halo2_backend/plonk/verifier/batch.rs.html
index 0607f355c9..483fb8826b 100644
--- a/src/halo2_backend/plonk/verifier/batch.rs.html
+++ b/src/halo2_backend/plonk/verifier/batch.rs.html
@@ -143,14 +143,6 @@
<a href="#127" id="127">127</a>
<a href="#128" id="128">128</a>
<a href="#129" id="129">129</a>
-<a href="#130" id="130">130</a>
-<a href="#131" id="131">131</a>
-<a href="#132" id="132">132</a>
-<a href="#133" id="133">133</a>
-<a href="#134" id="134">134</a>
-<a href="#135" id="135">135</a>
-<a href="#136" id="136">136</a>
-<a href="#137" id="137">137</a>
</pre></div><pre class="rust"><code><span class="kw">use crate</span>::{plonk::Error, poly::commitment::ParamsVerifier};
<span class="kw">use </span>group::ff::Field;
<span class="kw">use </span>halo2_middleware::ff::FromUniformBytes;
@@ -252,7 +244,6 @@
// `is_zero() == false` then this argument won't be able to interfere with it
// to make it true, with high probability.
</span>acc.scale(C::Scalar::random(OsRng));
-
acc.add_msm(<span class="kw-2">&</span>msm);
acc
}
@@ -262,16 +253,9 @@
.into_par_iter()
.enumerate()
.map(|(i, item)| {
- <span class="kw">let </span>instances: Vec<Vec<<span class="kw">_</span>>> = item
- .instances
- .iter()
- .map(|i| i.iter().map(|c| <span class="kw-2">&</span>c[..]).collect())
- .collect();
- <span class="kw">let </span>instances: Vec<<span class="kw">_</span>> = instances.iter().map(|i| <span class="kw-2">&</span>i[..]).collect();
-
<span class="kw">let </span>strategy = BatchStrategy::new(params);
<span class="kw">let </span><span class="kw-2">mut </span>transcript = Blake2bRead::init(<span class="kw-2">&</span>item.proof[..]);
- verify_proof(params, vk, strategy, <span class="kw-2">&</span>instances, <span class="kw-2">&mut </span>transcript).map_err(|e| {
+ verify_proof(params, vk, strategy, <span class="kw-2">&</span>item.instances, <span class="kw-2">&mut </span>transcript).map_err(|e| {
<span class="macro">tracing::debug!</span>(<span class="string">"Batch item {} failed verification: {}"</span>, i, e);
e
})
diff --git a/src/halo2_frontend/circuit.rs.html b/src/halo2_frontend/circuit.rs.html
index 6f33eff4e0..8322491bb7 100644
--- a/src/halo2_frontend/circuit.rs.html
+++ b/src/halo2_frontend/circuit.rs.html
@@ -1112,7 +1112,7 @@
advice_column_phase: <span class="kw-2">&</span><span class="lifetime">'a </span>Vec<sealed::Phase>,
advice: Vec<Vec<Assigned<F>>>,
challenges: <span class="kw-2">&</span><span class="lifetime">'a </span>HashMap<usize, F>,
- instances: <span class="kw-2">&</span><span class="lifetime">'a </span>[<span class="kw-2">&</span><span class="lifetime">'a </span>[F]],
+ instances: <span class="kw-2">&</span><span class="lifetime">'a </span>[Vec<F>],
usable_rows: RangeTo<usize>,
}
@@ -1254,7 +1254,7 @@
circuit: <span class="kw-2">&</span><span class="lifetime">'a </span>ConcreteCircuit,
config: <span class="kw-2">&</span><span class="lifetime">'a </span>ConcreteCircuit::Config,
cs: <span class="kw-2">&</span><span class="lifetime">'a </span>ConstraintSystem<F>,
- instances: <span class="kw-2">&</span><span class="lifetime">'a </span>[<span class="kw-2">&</span><span class="lifetime">'a </span>[F]],
+ instances: <span class="kw-2">&</span><span class="lifetime">'a </span>[Vec<F>],
next_phase: u8,
}
@@ -1265,7 +1265,7 @@
circuit: <span class="kw-2">&</span><span class="lifetime">'a </span>ConcreteCircuit,
config: <span class="kw-2">&</span><span class="lifetime">'a </span>ConcreteCircuit::Config,
cs: <span class="kw-2">&</span><span class="lifetime">'a </span>ConstraintSystem<F>,
- instances: <span class="kw-2">&</span><span class="lifetime">'a </span>[<span class="kw-2">&</span><span class="lifetime">'a </span>[F]],
+ instances: <span class="kw-2">&</span><span class="lifetime">'a </span>[Vec<F>],
) -> <span class="self">Self </span>{
<span class="kw">let </span>n = <span class="number">2usize</span>.pow(k);
<span class="kw">let </span>unusable_rows_start = n - (cs.blinding_factors() + <span class="number">1</span>);
diff --git a/src/halo2_proofs/plonk/prover.rs.html b/src/halo2_proofs/plonk/prover.rs.html
index 9ca5aa0c47..9e36a63ca6 100644
--- a/src/halo2_proofs/plonk/prover.rs.html
+++ b/src/halo2_proofs/plonk/prover.rs.html
@@ -242,6 +242,8 @@
<a href="#226" id="226">226</a>
<a href="#227" id="227">227</a>
<a href="#228" id="228">228</a>
+<a href="#229" id="229">229</a>
+<a href="#230" id="230">230</a>
</pre></div><pre class="rust"><code><span class="kw">use </span><span class="kw">crate</span>::plonk::{Error, ErrorBack};
<span class="kw">use </span><span class="kw">crate</span>::poly::commitment::{<span class="self">self</span>, CommitmentScheme, Params};
<span class="kw">use </span><span class="kw">crate</span>::transcript::{EncodedChallenge, TranscriptWrite};
@@ -274,7 +276,7 @@
params: <span class="kw-2">&</span><span class="lifetime">'params </span>Scheme::ParamsProver,
pk: <span class="kw-2">&</span>ProvingKey<Scheme::Curve>,
circuits: <span class="kw-2">&</span>[ConcreteCircuit],
- instances: <span class="kw-2">&</span>[<span class="kw-2">&</span>[<span class="kw-2">&</span>[Scheme::Scalar]]],
+ instances: <span class="kw-2">&</span>[Vec<Vec<Scheme::Scalar>>],
rng: R,
transcript: <span class="kw-2">&mut </span>T,
) -> <span class="prelude-ty">Result</span><(), Error>
@@ -295,7 +297,9 @@
<span class="kw">let </span><span class="kw-2">mut </span>witness_calcs: Vec<<span class="kw">_</span>> = circuits
.iter()
.enumerate()
- .map(|(i, circuit)| WitnessCalculator::new(params.k(), circuit, <span class="kw-2">&</span>config, <span class="kw-2">&</span>cs, instances[i]))
+ .map(|(i, circuit)| {
+ WitnessCalculator::new(params.k(), circuit, <span class="kw-2">&</span>config, <span class="kw-2">&</span>cs, instances[i].as_slice())
+ })
.collect();
<span class="kw">let </span><span class="kw-2">mut </span>prover = Prover::<Scheme, P, <span class="kw">_</span>, <span class="kw">_</span>, <span class="kw">_</span>, <span class="kw">_</span>>::new_with_engine(
engine, params, pk, instances, rng, transcript,
@@ -328,7 +332,7 @@
params: <span class="kw-2">&</span><span class="lifetime">'params </span>Scheme::ParamsProver,
pk: <span class="kw-2">&</span>ProvingKey<Scheme::Curve>,
circuits: <span class="kw-2">&</span>[ConcreteCircuit],
- instances: <span class="kw-2">&</span>[<span class="kw-2">&</span>[<span class="kw-2">&</span>[Scheme::Scalar]]],
+ instances: <span class="kw-2">&</span>[Vec<Vec<Scheme::Scalar>>],
rng: R,
transcript: <span class="kw-2">&mut </span>T,
) -> <span class="prelude-ty">Result</span><(), Error>
@@ -404,7 +408,7 @@
<span class="kw-2">&</span>params,
<span class="kw-2">&</span>pk,
<span class="kw-2">&</span>[MyCircuit, MyCircuit],
- <span class="kw-2">&</span>[<span class="kw-2">&</span>[], <span class="kw-2">&</span>[]],
+ <span class="kw-2">&</span>[<span class="macro">vec!</span>[], <span class="macro">vec!</span>[]],
OsRng,
<span class="kw-2">&mut </span>transcript,
)
@@ -464,7 +468,7 @@
<span class="kw-2">&</span>params,
<span class="kw-2">&</span>pk,
<span class="kw-2">&</span>[MyCircuit, MyCircuit],
- <span class="kw-2">&</span>[<span class="kw-2">&</span>[], <span class="kw-2">&</span>[]],
+ <span class="kw-2">&</span>[<span class="macro">vec!</span>[], <span class="macro">vec!</span>[]],
OsRng,
<span class="kw-2">&mut </span>transcript,
)
diff --git a/trait.impl/core/convert/trait.From.js b/trait.impl/core/convert/trait.From.js
index 0d34c89896..20fc61c79e 100644
--- a/trait.impl/core/convert/trait.From.js
+++ b/trait.impl/core/convert/trait.From.js
@@ -1,6 +1,6 @@
(function() {var implementors = {
"halo2_backend":[["impl <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><<a class=\"struct\" href=\"https://doc.rust-lang.org/nightly/std/io/error/struct.Error.html\" title=\"struct std::io::error::Error\">Error</a>> for <a class=\"enum\" href=\"halo2_backend/plonk/enum.Error.html\" title=\"enum halo2_backend::plonk::Error\">Error</a>"]],
-"halo2_frontend":[["impl <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><(<a class=\"primitive\" href=\"https://doc.rust-lang.org/nightly/std/primitive.usize.html\">usize</a>, &<a class=\"primitive\" href=\"https://doc.rust-lang.org/nightly/std/primitive.str.html\">str</a>)> for <a class=\"struct\" href=\"halo2_frontend/dev/metadata/struct.Region.html\" title=\"struct halo2_frontend::dev::metadata::Region\">Region</a>"],["impl <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><(<a class=\"primitive\" href=\"https://doc.rust-lang.org/nightly/std/primitive.usize.html\">usize</a>, &<a class=\"primitive\" href=\"https://doc.rust-lang.org/nightly/std/primitive.str.html\">str</a>, <a class=\"struct\" href=\"https://doc.rust-lang.org/nightly/std/collections/hash/map/struct.HashMap.html\" title=\"struct std::collections::hash::map::HashMap\">HashMap</a><<a class=\"struct\" href=\"halo2_frontend/dev/metadata/struct.Column.html\" title=\"struct halo2_frontend::dev::metadata::Column\">ColumnMid</a>, <a class=\"struct\" href=\"https://doc.rust-lang.org/nightly/alloc/string/struct.String.html\" title=\"struct alloc::string::String\">String</a>>)> for <a class=\"struct\" href=\"halo2_frontend/dev/metadata/struct.Region.html\" title=\"struct halo2_frontend::dev::metadata::Region\">Region</a>"],["impl <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><(<a class=\"primitive\" href=\"https://doc.rust-lang.org/nightly/std/primitive.usize.html\">usize</a>, <a class=\"struct\" href=\"https://doc.rust-lang.org/nightly/alloc/string/struct.String.html\" title=\"struct alloc::string::String\">String</a>)> for <a class=\"struct\" href=\"halo2_frontend/dev/metadata/struct.Region.html\" title=\"struct halo2_frontend::dev::metadata::Region\">Region</a>"],["impl <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><(<a class=\"primitive\" href=\"https://doc.rust-lang.org/nightly/std/primitive.usize.html\">usize</a>, <a class=\"struct\" href=\"https://doc.rust-lang.org/nightly/alloc/string/struct.String.html\" title=\"struct alloc::string::String\">String</a>, <a class=\"struct\" href=\"https://doc.rust-lang.org/nightly/std/collections/hash/map/struct.HashMap.html\" title=\"struct std::collections::hash::map::HashMap\">HashMap</a><<a class=\"struct\" href=\"halo2_frontend/dev/metadata/struct.Column.html\" title=\"struct halo2_frontend::dev::metadata::Column\">ColumnMid</a>, <a class=\"struct\" href=\"https://doc.rust-lang.org/nightly/alloc/string/struct.String.html\" title=\"struct alloc::string::String\">String</a>>)> for <a class=\"struct\" href=\"halo2_frontend/dev/metadata/struct.Region.html\" title=\"struct halo2_frontend::dev::metadata::Region\">Region</a>"],["impl <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><(<a class=\"struct\" href=\"halo2_frontend/dev/metadata/struct.Column.html\" title=\"struct halo2_frontend::dev::metadata::Column\">ColumnMid</a>, <a class=\"primitive\" href=\"https://doc.rust-lang.org/nightly/std/primitive.i32.html\">i32</a>)> for <a class=\"struct\" href=\"halo2_frontend/dev/metadata/struct.VirtualCell.html\" title=\"struct halo2_frontend::dev::metadata::VirtualCell\">VirtualCell</a>"],["impl <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><<a class=\"primitive\" href=\"https://doc.rust-lang.org/nightly/std/primitive.usize.html\">usize</a>> for <a class=\"struct\" href=\"halo2_frontend/circuit/struct.RegionIndex.html\" title=\"struct halo2_frontend::circuit::RegionIndex\">RegionIndex</a>"],["impl <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><<a class=\"primitive\" href=\"https://doc.rust-lang.org/nightly/std/primitive.usize.html\">usize</a>> for <a class=\"struct\" href=\"halo2_frontend/circuit/struct.RegionStart.html\" title=\"struct halo2_frontend::circuit::RegionStart\">RegionStart</a>"],["impl <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><<a class=\"struct\" href=\"halo2_frontend/dev/metadata/struct.Column.html\" title=\"struct halo2_frontend::dev::metadata::Column\">ColumnMid</a>> for <a class=\"struct\" href=\"halo2_frontend/plonk/circuit/expression/struct.Column.html\" title=\"struct halo2_frontend::plonk::circuit::expression::Column\">Column</a><<a class=\"enum\" href=\"halo2_middleware/circuit/enum.Any.html\" title=\"enum halo2_middleware::circuit::Any\">Any</a>>"],["impl <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><<a class=\"struct\" href=\"halo2_frontend/plonk/circuit/constraint_system/struct.VirtualCell.html\" title=\"struct halo2_frontend::plonk::circuit::constraint_system::VirtualCell\">VirtualCell</a>> for <a class=\"struct\" href=\"halo2_frontend/dev/metadata/struct.VirtualCell.html\" title=\"struct halo2_frontend::dev::metadata::VirtualCell\">VirtualCell</a>"],["impl <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><<a class=\"struct\" href=\"halo2_frontend/plonk/circuit/expression/struct.Challenge.html\" title=\"struct halo2_frontend::plonk::circuit::expression::Challenge\">Challenge</a>> for <a class=\"struct\" href=\"halo2_middleware/circuit/struct.ChallengeMid.html\" title=\"struct halo2_middleware::circuit::ChallengeMid\">ChallengeMid</a>"],["impl <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><<a class=\"struct\" href=\"halo2_frontend/plonk/circuit/expression/struct.Column.html\" title=\"struct halo2_frontend::plonk::circuit::expression::Column\">Column</a><<a class=\"enum\" href=\"halo2_middleware/circuit/enum.Any.html\" title=\"enum halo2_middleware::circuit::Any\">Any</a>>> for <a class=\"enum\" href=\"halo2_frontend/circuit/layouter/enum.RegionColumn.html\" title=\"enum halo2_frontend::circuit::layouter::RegionColumn\">RegionColumn</a>"],["impl <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><<a class=\"struct\" href=\"halo2_frontend/plonk/circuit/expression/struct.Column.html\" title=\"struct halo2_frontend::plonk::circuit::expression::Column\">Column</a><<a class=\"enum\" href=\"halo2_middleware/circuit/enum.Any.html\" title=\"enum halo2_middleware::circuit::Any\">Any</a>>> for <a class=\"struct\" href=\"halo2_frontend/dev/metadata/struct.Column.html\" title=\"struct halo2_frontend::dev::metadata::Column\">ColumnMid</a>"],["impl <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><<a class=\"struct\" href=\"halo2_frontend/plonk/circuit/expression/struct.Column.html\" title=\"struct halo2_frontend::plonk::circuit::expression::Column\">Column</a><<a class=\"struct\" href=\"halo2_frontend/plonk/circuit/struct.Advice.html\" title=\"struct halo2_frontend::plonk::circuit::Advice\">Advice</a>>> for <a class=\"struct\" href=\"halo2_frontend/plonk/circuit/expression/struct.Column.html\" title=\"struct halo2_frontend::plonk::circuit::expression::Column\">Column</a><<a class=\"enum\" href=\"halo2_middleware/circuit/enum.Any.html\" title=\"enum halo2_middleware::circuit::Any\">Any</a>>"],["impl <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><<a class=\"struct\" href=\"halo2_frontend/plonk/circuit/expression/struct.Column.html\" title=\"struct halo2_frontend::plonk::circuit::expression::Column\">Column</a><<a class=\"struct\" href=\"halo2_frontend/plonk/circuit/struct.Fixed.html\" title=\"struct halo2_frontend::plonk::circuit::Fixed\">Fixed</a>>> for <a class=\"struct\" href=\"halo2_frontend/plonk/circuit/expression/struct.Column.html\" title=\"struct halo2_frontend::plonk::circuit::expression::Column\">Column</a><<a class=\"enum\" href=\"halo2_middleware/circuit/enum.Any.html\" title=\"enum halo2_middleware::circuit::Any\">Any</a>>"],["impl <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><<a class=\"struct\" href=\"halo2_frontend/plonk/circuit/expression/struct.Column.html\" title=\"struct halo2_frontend::plonk::circuit::expression::Column\">Column</a><<a class=\"struct\" href=\"halo2_frontend/plonk/circuit/struct.Instance.html\" title=\"struct halo2_frontend::plonk::circuit::Instance\">Instance</a>>> for <a class=\"struct\" href=\"halo2_frontend/plonk/circuit/expression/struct.Column.html\" title=\"struct halo2_frontend::plonk::circuit::expression::Column\">Column</a><<a class=\"enum\" href=\"halo2_middleware/circuit/enum.Any.html\" title=\"enum halo2_middleware::circuit::Any\">Any</a>>"],["impl <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><<a class=\"struct\" href=\"halo2_frontend/plonk/circuit/expression/struct.Selector.html\" title=\"struct halo2_frontend::plonk::circuit::expression::Selector\">Selector</a>> for <a class=\"enum\" href=\"halo2_frontend/circuit/layouter/enum.RegionColumn.html\" title=\"enum halo2_frontend::circuit::layouter::RegionColumn\">RegionColumn</a>"],["impl <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><<a class=\"struct\" href=\"halo2_frontend/plonk/circuit/struct.Advice.html\" title=\"struct halo2_frontend::plonk::circuit::Advice\">Advice</a>> for <a class=\"enum\" href=\"halo2_middleware/circuit/enum.Any.html\" title=\"enum halo2_middleware::circuit::Any\">Any</a>"],["impl <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><<a class=\"struct\" href=\"halo2_frontend/plonk/circuit/struct.Fixed.html\" title=\"struct halo2_frontend::plonk::circuit::Fixed\">Fixed</a>> for <a class=\"enum\" href=\"halo2_middleware/circuit/enum.Any.html\" title=\"enum halo2_middleware::circuit::Any\">Any</a>"],["impl <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><<a class=\"struct\" href=\"halo2_frontend/plonk/circuit/struct.Instance.html\" title=\"struct halo2_frontend::plonk::circuit::Instance\">Instance</a>> for <a class=\"enum\" href=\"halo2_middleware/circuit/enum.Any.html\" title=\"enum halo2_middleware::circuit::Any\">Any</a>"],["impl <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><<a class=\"struct\" href=\"halo2_middleware/circuit/struct.ChallengeMid.html\" title=\"struct halo2_middleware::circuit::ChallengeMid\">ChallengeMid</a>> for <a class=\"struct\" href=\"halo2_frontend/plonk/circuit/expression/struct.Challenge.html\" title=\"struct halo2_frontend::plonk::circuit::expression::Challenge\">Challenge</a>"],["impl<'r, F: Field> <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><&'r mut dyn <a class=\"trait\" href=\"halo2_frontend/circuit/layouter/trait.RegionLayouter.html\" title=\"trait halo2_frontend::circuit::layouter::RegionLayouter\">RegionLayouter</a><F>> for <a class=\"struct\" href=\"halo2_frontend/circuit/struct.Region.html\" title=\"struct halo2_frontend::circuit::Region\">Region</a><'r, F>"],["impl<'r, F: Field> <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><&'r mut dyn <a class=\"trait\" href=\"halo2_frontend/circuit/layouter/trait.TableLayouter.html\" title=\"trait halo2_frontend::circuit::layouter::TableLayouter\">TableLayouter</a><F>> for <a class=\"struct\" href=\"halo2_frontend/circuit/struct.Table.html\" title=\"struct halo2_frontend::circuit::Table\">Table</a><'r, F>"],["impl<Col: <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.Into.html\" title=\"trait core::convert::Into\">Into</a><<a class=\"struct\" href=\"halo2_frontend/plonk/circuit/expression/struct.Column.html\" title=\"struct halo2_frontend::plonk::circuit::expression::Column\">Column</a><<a class=\"enum\" href=\"halo2_middleware/circuit/enum.Any.html\" title=\"enum halo2_middleware::circuit::Any\">Any</a>>>> <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><(Col, <a class=\"struct\" href=\"halo2_middleware/poly/struct.Rotation.html\" title=\"struct halo2_middleware::poly::Rotation\">Rotation</a>)> for <a class=\"struct\" href=\"halo2_frontend/plonk/circuit/constraint_system/struct.VirtualCell.html\" title=\"struct halo2_frontend::plonk::circuit::constraint_system::VirtualCell\">VirtualCell</a>"],["impl<F> <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><<a class=\"enum\" href=\"halo2_frontend/plonk/circuit/expression/enum.Expression.html\" title=\"enum halo2_frontend::plonk::circuit::expression::Expression\">Expression</a><F>> for <a class=\"type\" href=\"halo2_middleware/circuit/type.ExpressionMid.html\" title=\"type halo2_middleware::circuit::ExpressionMid\">ExpressionMid</a><F>"],["impl<F: Field> <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><&<a class=\"enum\" href=\"halo2_frontend/plonk/assigned/enum.Assigned.html\" title=\"enum halo2_frontend::plonk::assigned::Assigned\">Assigned</a><F>> for <a class=\"enum\" href=\"halo2_frontend/plonk/assigned/enum.Assigned.html\" title=\"enum halo2_frontend::plonk::assigned::Assigned\">Assigned</a><F>"],["impl<F: Field> <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><<a class=\"enum\" href=\"halo2_frontend/plonk/circuit/expression/enum.Expression.html\" title=\"enum halo2_frontend::plonk::circuit::expression::Expression\">Expression</a><F>> for <a class=\"struct\" href=\"halo2_frontend/plonk/circuit/constraint_system/struct.Constraint.html\" title=\"struct halo2_frontend::plonk::circuit::constraint_system::Constraint\">Constraint</a><F>"],["impl<F: Field> <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><<a class=\"enum\" href=\"halo2_frontend/plonk/circuit/expression/enum.Expression.html\" title=\"enum halo2_frontend::plonk::circuit::expression::Expression\">Expression</a><F>> for <a class=\"struct\" href=\"https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html\" title=\"struct alloc::vec::Vec\">Vec</a><<a class=\"struct\" href=\"halo2_frontend/plonk/circuit/constraint_system/struct.Constraint.html\" title=\"struct halo2_frontend::plonk::circuit::constraint_system::Constraint\">Constraint</a><F>>"],["impl<F: Field> <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><<a class=\"primitive\" href=\"https://doc.rust-lang.org/nightly/std/primitive.reference.html\">&F</a>> for <a class=\"enum\" href=\"halo2_frontend/plonk/assigned/enum.Assigned.html\" title=\"enum halo2_frontend::plonk::assigned::Assigned\">Assigned</a><F>"],["impl<F: Field> <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><<a class=\"primitive\" href=\"https://doc.rust-lang.org/nightly/std/primitive.tuple.html\">(F, F)</a>> for <a class=\"enum\" href=\"halo2_frontend/plonk/assigned/enum.Assigned.html\" title=\"enum halo2_frontend::plonk::assigned::Assigned\">Assigned</a><F>"],["impl<F: Field> <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><<a class=\"struct\" href=\"halo2_frontend/circuit/struct.Value.html\" title=\"struct halo2_frontend::circuit::Value\">Value</a><F>> for <a class=\"struct\" href=\"halo2_frontend/circuit/struct.Value.html\" title=\"struct halo2_frontend::circuit::Value\">Value</a><<a class=\"enum\" href=\"halo2_frontend/plonk/assigned/enum.Assigned.html\" title=\"enum halo2_frontend::plonk::assigned::Assigned\">Assigned</a><F>>"],["impl<F: Field> <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><<a class=\"struct\" href=\"halo2_frontend/plonk/circuit/constraint_system/struct.ConstraintSystem.html\" title=\"struct halo2_frontend::plonk::circuit::constraint_system::ConstraintSystem\">ConstraintSystem</a><F>> for <a class=\"struct\" href=\"halo2_middleware/circuit/struct.ConstraintSystemMid.html\" title=\"struct halo2_middleware::circuit::ConstraintSystemMid\">ConstraintSystemMid</a><F>"],["impl<F: Field> <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><F> for <a class=\"enum\" href=\"halo2_frontend/plonk/assigned/enum.Assigned.html\" title=\"enum halo2_frontend::plonk::assigned::Assigned\">Assigned</a><F>"],["impl<F: Field, S: <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.AsRef.html\" title=\"trait core::convert::AsRef\">AsRef</a><<a class=\"primitive\" href=\"https://doc.rust-lang.org/nightly/std/primitive.str.html\">str</a>>> <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><(S, <a class=\"enum\" href=\"halo2_frontend/plonk/circuit/expression/enum.Expression.html\" title=\"enum halo2_frontend::plonk::circuit::expression::Expression\">Expression</a><F>)> for <a class=\"struct\" href=\"halo2_frontend/plonk/circuit/constraint_system/struct.Constraint.html\" title=\"struct halo2_frontend::plonk::circuit::constraint_system::Constraint\">Constraint</a><F>"],["impl<G: PrimeGroup> <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><<a class=\"struct\" href=\"halo2_frontend/dev/cost/struct.MarginalProofSize.html\" title=\"struct halo2_frontend::dev::cost::MarginalProofSize\">MarginalProofSize</a><G>> for <a class=\"primitive\" href=\"https://doc.rust-lang.org/nightly/std/primitive.usize.html\">usize</a>"],["impl<G: PrimeGroup> <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><<a class=\"struct\" href=\"halo2_frontend/dev/cost/struct.ProofSize.html\" title=\"struct halo2_frontend::dev::cost::ProofSize\">ProofSize</a><G>> for <a class=\"primitive\" href=\"https://doc.rust-lang.org/nightly/std/primitive.usize.html\">usize</a>"],["impl<S: <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.AsRef.html\" title=\"trait core::convert::AsRef\">AsRef</a><<a class=\"primitive\" href=\"https://doc.rust-lang.org/nightly/std/primitive.str.html\">str</a>>> <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><(<a class=\"primitive\" href=\"https://doc.rust-lang.org/nightly/std/primitive.usize.html\">usize</a>, S)> for <a class=\"struct\" href=\"halo2_frontend/dev/metadata/struct.Gate.html\" title=\"struct halo2_frontend::dev::metadata::Gate\">Gate</a>"],["impl<S: <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.AsRef.html\" title=\"trait core::convert::AsRef\">AsRef</a><<a class=\"primitive\" href=\"https://doc.rust-lang.org/nightly/std/primitive.str.html\">str</a>>> <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><(<a class=\"struct\" href=\"halo2_frontend/dev/metadata/struct.Gate.html\" title=\"struct halo2_frontend::dev::metadata::Gate\">Gate</a>, <a class=\"primitive\" href=\"https://doc.rust-lang.org/nightly/std/primitive.usize.html\">usize</a>, S)> for <a class=\"struct\" href=\"halo2_frontend/dev/metadata/struct.Constraint.html\" title=\"struct halo2_frontend::dev::metadata::Constraint\">Constraint</a>"],["impl<S: <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.AsRef.html\" title=\"trait core::convert::AsRef\">AsRef</a><<a class=\"primitive\" href=\"https://doc.rust-lang.org/nightly/std/primitive.str.html\">str</a>>> <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><(S, <a class=\"struct\" href=\"halo2_frontend/dev/metadata/struct.Column.html\" title=\"struct halo2_frontend::dev::metadata::Column\">ColumnMid</a>, <a class=\"primitive\" href=\"https://doc.rust-lang.org/nightly/std/primitive.i32.html\">i32</a>)> for <a class=\"struct\" href=\"halo2_frontend/dev/metadata/struct.VirtualCell.html\" title=\"struct halo2_frontend::dev::metadata::VirtualCell\">VirtualCell</a>"]],
+"halo2_frontend":[["impl <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><(<a class=\"primitive\" href=\"https://doc.rust-lang.org/nightly/std/primitive.usize.html\">usize</a>, &<a class=\"primitive\" href=\"https://doc.rust-lang.org/nightly/std/primitive.str.html\">str</a>)> for <a class=\"struct\" href=\"halo2_frontend/dev/metadata/struct.Region.html\" title=\"struct halo2_frontend::dev::metadata::Region\">Region</a>"],["impl <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><(<a class=\"primitive\" href=\"https://doc.rust-lang.org/nightly/std/primitive.usize.html\">usize</a>, &<a class=\"primitive\" href=\"https://doc.rust-lang.org/nightly/std/primitive.str.html\">str</a>, <a class=\"struct\" href=\"https://doc.rust-lang.org/nightly/std/collections/hash/map/struct.HashMap.html\" title=\"struct std::collections::hash::map::HashMap\">HashMap</a><<a class=\"struct\" href=\"halo2_frontend/dev/metadata/struct.Column.html\" title=\"struct halo2_frontend::dev::metadata::Column\">ColumnMid</a>, <a class=\"struct\" href=\"https://doc.rust-lang.org/nightly/alloc/string/struct.String.html\" title=\"struct alloc::string::String\">String</a>>)> for <a class=\"struct\" href=\"halo2_frontend/dev/metadata/struct.Region.html\" title=\"struct halo2_frontend::dev::metadata::Region\">Region</a>"],["impl <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><(<a class=\"primitive\" href=\"https://doc.rust-lang.org/nightly/std/primitive.usize.html\">usize</a>, <a class=\"struct\" href=\"https://doc.rust-lang.org/nightly/alloc/string/struct.String.html\" title=\"struct alloc::string::String\">String</a>)> for <a class=\"struct\" href=\"halo2_frontend/dev/metadata/struct.Region.html\" title=\"struct halo2_frontend::dev::metadata::Region\">Region</a>"],["impl <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><(<a class=\"primitive\" href=\"https://doc.rust-lang.org/nightly/std/primitive.usize.html\">usize</a>, <a class=\"struct\" href=\"https://doc.rust-lang.org/nightly/alloc/string/struct.String.html\" title=\"struct alloc::string::String\">String</a>, <a class=\"struct\" href=\"https://doc.rust-lang.org/nightly/std/collections/hash/map/struct.HashMap.html\" title=\"struct std::collections::hash::map::HashMap\">HashMap</a><<a class=\"struct\" href=\"halo2_frontend/dev/metadata/struct.Column.html\" title=\"struct halo2_frontend::dev::metadata::Column\">ColumnMid</a>, <a class=\"struct\" href=\"https://doc.rust-lang.org/nightly/alloc/string/struct.String.html\" title=\"struct alloc::string::String\">String</a>>)> for <a class=\"struct\" href=\"halo2_frontend/dev/metadata/struct.Region.html\" title=\"struct halo2_frontend::dev::metadata::Region\">Region</a>"],["impl <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><(<a class=\"struct\" href=\"halo2_frontend/dev/metadata/struct.Column.html\" title=\"struct halo2_frontend::dev::metadata::Column\">ColumnMid</a>, <a class=\"primitive\" href=\"https://doc.rust-lang.org/nightly/std/primitive.i32.html\">i32</a>)> for <a class=\"struct\" href=\"halo2_frontend/dev/metadata/struct.VirtualCell.html\" title=\"struct halo2_frontend::dev::metadata::VirtualCell\">VirtualCell</a>"],["impl <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><<a class=\"primitive\" href=\"https://doc.rust-lang.org/nightly/std/primitive.usize.html\">usize</a>> for <a class=\"struct\" href=\"halo2_frontend/circuit/struct.RegionIndex.html\" title=\"struct halo2_frontend::circuit::RegionIndex\">RegionIndex</a>"],["impl <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><<a class=\"primitive\" href=\"https://doc.rust-lang.org/nightly/std/primitive.usize.html\">usize</a>> for <a class=\"struct\" href=\"halo2_frontend/circuit/struct.RegionStart.html\" title=\"struct halo2_frontend::circuit::RegionStart\">RegionStart</a>"],["impl <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><<a class=\"struct\" href=\"halo2_frontend/dev/metadata/struct.Column.html\" title=\"struct halo2_frontend::dev::metadata::Column\">ColumnMid</a>> for <a class=\"struct\" href=\"halo2_frontend/plonk/circuit/expression/struct.Column.html\" title=\"struct halo2_frontend::plonk::circuit::expression::Column\">Column</a><Any>"],["impl <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><<a class=\"struct\" href=\"halo2_frontend/plonk/circuit/constraint_system/struct.VirtualCell.html\" title=\"struct halo2_frontend::plonk::circuit::constraint_system::VirtualCell\">VirtualCell</a>> for <a class=\"struct\" href=\"halo2_frontend/dev/metadata/struct.VirtualCell.html\" title=\"struct halo2_frontend::dev::metadata::VirtualCell\">VirtualCell</a>"],["impl <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><<a class=\"struct\" href=\"halo2_frontend/plonk/circuit/expression/struct.Challenge.html\" title=\"struct halo2_frontend::plonk::circuit::expression::Challenge\">Challenge</a>> for ChallengeMid"],["impl <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><<a class=\"struct\" href=\"halo2_frontend/plonk/circuit/expression/struct.Column.html\" title=\"struct halo2_frontend::plonk::circuit::expression::Column\">Column</a><<a class=\"struct\" href=\"halo2_frontend/plonk/circuit/struct.Advice.html\" title=\"struct halo2_frontend::plonk::circuit::Advice\">Advice</a>>> for <a class=\"struct\" href=\"halo2_frontend/plonk/circuit/expression/struct.Column.html\" title=\"struct halo2_frontend::plonk::circuit::expression::Column\">Column</a><Any>"],["impl <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><<a class=\"struct\" href=\"halo2_frontend/plonk/circuit/expression/struct.Column.html\" title=\"struct halo2_frontend::plonk::circuit::expression::Column\">Column</a><<a class=\"struct\" href=\"halo2_frontend/plonk/circuit/struct.Fixed.html\" title=\"struct halo2_frontend::plonk::circuit::Fixed\">Fixed</a>>> for <a class=\"struct\" href=\"halo2_frontend/plonk/circuit/expression/struct.Column.html\" title=\"struct halo2_frontend::plonk::circuit::expression::Column\">Column</a><Any>"],["impl <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><<a class=\"struct\" href=\"halo2_frontend/plonk/circuit/expression/struct.Column.html\" title=\"struct halo2_frontend::plonk::circuit::expression::Column\">Column</a><<a class=\"struct\" href=\"halo2_frontend/plonk/circuit/struct.Instance.html\" title=\"struct halo2_frontend::plonk::circuit::Instance\">Instance</a>>> for <a class=\"struct\" href=\"halo2_frontend/plonk/circuit/expression/struct.Column.html\" title=\"struct halo2_frontend::plonk::circuit::expression::Column\">Column</a><Any>"],["impl <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><<a class=\"struct\" href=\"halo2_frontend/plonk/circuit/expression/struct.Column.html\" title=\"struct halo2_frontend::plonk::circuit::expression::Column\">Column</a><Any>> for <a class=\"enum\" href=\"halo2_frontend/circuit/layouter/enum.RegionColumn.html\" title=\"enum halo2_frontend::circuit::layouter::RegionColumn\">RegionColumn</a>"],["impl <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><<a class=\"struct\" href=\"halo2_frontend/plonk/circuit/expression/struct.Column.html\" title=\"struct halo2_frontend::plonk::circuit::expression::Column\">Column</a><Any>> for <a class=\"struct\" href=\"halo2_frontend/dev/metadata/struct.Column.html\" title=\"struct halo2_frontend::dev::metadata::Column\">ColumnMid</a>"],["impl <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><<a class=\"struct\" href=\"halo2_frontend/plonk/circuit/expression/struct.Selector.html\" title=\"struct halo2_frontend::plonk::circuit::expression::Selector\">Selector</a>> for <a class=\"enum\" href=\"halo2_frontend/circuit/layouter/enum.RegionColumn.html\" title=\"enum halo2_frontend::circuit::layouter::RegionColumn\">RegionColumn</a>"],["impl <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><<a class=\"struct\" href=\"halo2_frontend/plonk/circuit/struct.Advice.html\" title=\"struct halo2_frontend::plonk::circuit::Advice\">Advice</a>> for Any"],["impl <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><<a class=\"struct\" href=\"halo2_frontend/plonk/circuit/struct.Fixed.html\" title=\"struct halo2_frontend::plonk::circuit::Fixed\">Fixed</a>> for Any"],["impl <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><<a class=\"struct\" href=\"halo2_frontend/plonk/circuit/struct.Instance.html\" title=\"struct halo2_frontend::plonk::circuit::Instance\">Instance</a>> for Any"],["impl <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><ChallengeMid> for <a class=\"struct\" href=\"halo2_frontend/plonk/circuit/expression/struct.Challenge.html\" title=\"struct halo2_frontend::plonk::circuit::expression::Challenge\">Challenge</a>"],["impl<'r, F: Field> <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><&'r mut dyn <a class=\"trait\" href=\"halo2_frontend/circuit/layouter/trait.RegionLayouter.html\" title=\"trait halo2_frontend::circuit::layouter::RegionLayouter\">RegionLayouter</a><F>> for <a class=\"struct\" href=\"halo2_frontend/circuit/struct.Region.html\" title=\"struct halo2_frontend::circuit::Region\">Region</a><'r, F>"],["impl<'r, F: Field> <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><&'r mut dyn <a class=\"trait\" href=\"halo2_frontend/circuit/layouter/trait.TableLayouter.html\" title=\"trait halo2_frontend::circuit::layouter::TableLayouter\">TableLayouter</a><F>> for <a class=\"struct\" href=\"halo2_frontend/circuit/struct.Table.html\" title=\"struct halo2_frontend::circuit::Table\">Table</a><'r, F>"],["impl<Col: <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.Into.html\" title=\"trait core::convert::Into\">Into</a><<a class=\"struct\" href=\"halo2_frontend/plonk/circuit/expression/struct.Column.html\" title=\"struct halo2_frontend::plonk::circuit::expression::Column\">Column</a><Any>>> <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><(Col, Rotation)> for <a class=\"struct\" href=\"halo2_frontend/plonk/circuit/constraint_system/struct.VirtualCell.html\" title=\"struct halo2_frontend::plonk::circuit::constraint_system::VirtualCell\">VirtualCell</a>"],["impl<F> <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><<a class=\"enum\" href=\"halo2_frontend/plonk/circuit/expression/enum.Expression.html\" title=\"enum halo2_frontend::plonk::circuit::expression::Expression\">Expression</a><F>> for ExpressionMid<F>"],["impl<F: Field> <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><&<a class=\"enum\" href=\"halo2_frontend/plonk/assigned/enum.Assigned.html\" title=\"enum halo2_frontend::plonk::assigned::Assigned\">Assigned</a><F>> for <a class=\"enum\" href=\"halo2_frontend/plonk/assigned/enum.Assigned.html\" title=\"enum halo2_frontend::plonk::assigned::Assigned\">Assigned</a><F>"],["impl<F: Field> <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><<a class=\"enum\" href=\"halo2_frontend/plonk/circuit/expression/enum.Expression.html\" title=\"enum halo2_frontend::plonk::circuit::expression::Expression\">Expression</a><F>> for <a class=\"struct\" href=\"halo2_frontend/plonk/circuit/constraint_system/struct.Constraint.html\" title=\"struct halo2_frontend::plonk::circuit::constraint_system::Constraint\">Constraint</a><F>"],["impl<F: Field> <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><<a class=\"enum\" href=\"halo2_frontend/plonk/circuit/expression/enum.Expression.html\" title=\"enum halo2_frontend::plonk::circuit::expression::Expression\">Expression</a><F>> for <a class=\"struct\" href=\"https://doc.rust-lang.org/nightly/alloc/vec/struct.Vec.html\" title=\"struct alloc::vec::Vec\">Vec</a><<a class=\"struct\" href=\"halo2_frontend/plonk/circuit/constraint_system/struct.Constraint.html\" title=\"struct halo2_frontend::plonk::circuit::constraint_system::Constraint\">Constraint</a><F>>"],["impl<F: Field> <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><<a class=\"primitive\" href=\"https://doc.rust-lang.org/nightly/std/primitive.reference.html\">&F</a>> for <a class=\"enum\" href=\"halo2_frontend/plonk/assigned/enum.Assigned.html\" title=\"enum halo2_frontend::plonk::assigned::Assigned\">Assigned</a><F>"],["impl<F: Field> <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><<a class=\"primitive\" href=\"https://doc.rust-lang.org/nightly/std/primitive.tuple.html\">(F, F)</a>> for <a class=\"enum\" href=\"halo2_frontend/plonk/assigned/enum.Assigned.html\" title=\"enum halo2_frontend::plonk::assigned::Assigned\">Assigned</a><F>"],["impl<F: Field> <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><<a class=\"struct\" href=\"halo2_frontend/circuit/struct.Value.html\" title=\"struct halo2_frontend::circuit::Value\">Value</a><F>> for <a class=\"struct\" href=\"halo2_frontend/circuit/struct.Value.html\" title=\"struct halo2_frontend::circuit::Value\">Value</a><<a class=\"enum\" href=\"halo2_frontend/plonk/assigned/enum.Assigned.html\" title=\"enum halo2_frontend::plonk::assigned::Assigned\">Assigned</a><F>>"],["impl<F: Field> <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><<a class=\"struct\" href=\"halo2_frontend/plonk/circuit/constraint_system/struct.ConstraintSystem.html\" title=\"struct halo2_frontend::plonk::circuit::constraint_system::ConstraintSystem\">ConstraintSystem</a><F>> for ConstraintSystemMid<F>"],["impl<F: Field> <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><F> for <a class=\"enum\" href=\"halo2_frontend/plonk/assigned/enum.Assigned.html\" title=\"enum halo2_frontend::plonk::assigned::Assigned\">Assigned</a><F>"],["impl<F: Field, S: <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.AsRef.html\" title=\"trait core::convert::AsRef\">AsRef</a><<a class=\"primitive\" href=\"https://doc.rust-lang.org/nightly/std/primitive.str.html\">str</a>>> <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><(S, <a class=\"enum\" href=\"halo2_frontend/plonk/circuit/expression/enum.Expression.html\" title=\"enum halo2_frontend::plonk::circuit::expression::Expression\">Expression</a><F>)> for <a class=\"struct\" href=\"halo2_frontend/plonk/circuit/constraint_system/struct.Constraint.html\" title=\"struct halo2_frontend::plonk::circuit::constraint_system::Constraint\">Constraint</a><F>"],["impl<G: PrimeGroup> <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><<a class=\"struct\" href=\"halo2_frontend/dev/cost/struct.MarginalProofSize.html\" title=\"struct halo2_frontend::dev::cost::MarginalProofSize\">MarginalProofSize</a><G>> for <a class=\"primitive\" href=\"https://doc.rust-lang.org/nightly/std/primitive.usize.html\">usize</a>"],["impl<G: PrimeGroup> <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><<a class=\"struct\" href=\"halo2_frontend/dev/cost/struct.ProofSize.html\" title=\"struct halo2_frontend::dev::cost::ProofSize\">ProofSize</a><G>> for <a class=\"primitive\" href=\"https://doc.rust-lang.org/nightly/std/primitive.usize.html\">usize</a>"],["impl<S: <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.AsRef.html\" title=\"trait core::convert::AsRef\">AsRef</a><<a class=\"primitive\" href=\"https://doc.rust-lang.org/nightly/std/primitive.str.html\">str</a>>> <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><(<a class=\"primitive\" href=\"https://doc.rust-lang.org/nightly/std/primitive.usize.html\">usize</a>, S)> for <a class=\"struct\" href=\"halo2_frontend/dev/metadata/struct.Gate.html\" title=\"struct halo2_frontend::dev::metadata::Gate\">Gate</a>"],["impl<S: <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.AsRef.html\" title=\"trait core::convert::AsRef\">AsRef</a><<a class=\"primitive\" href=\"https://doc.rust-lang.org/nightly/std/primitive.str.html\">str</a>>> <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><(<a class=\"struct\" href=\"halo2_frontend/dev/metadata/struct.Gate.html\" title=\"struct halo2_frontend::dev::metadata::Gate\">Gate</a>, <a class=\"primitive\" href=\"https://doc.rust-lang.org/nightly/std/primitive.usize.html\">usize</a>, S)> for <a class=\"struct\" href=\"halo2_frontend/dev/metadata/struct.Constraint.html\" title=\"struct halo2_frontend::dev::metadata::Constraint\">Constraint</a>"],["impl<S: <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.AsRef.html\" title=\"trait core::convert::AsRef\">AsRef</a><<a class=\"primitive\" href=\"https://doc.rust-lang.org/nightly/std/primitive.str.html\">str</a>>> <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><(S, <a class=\"struct\" href=\"halo2_frontend/dev/metadata/struct.Column.html\" title=\"struct halo2_frontend::dev::metadata::Column\">ColumnMid</a>, <a class=\"primitive\" href=\"https://doc.rust-lang.org/nightly/std/primitive.i32.html\">i32</a>)> for <a class=\"struct\" href=\"halo2_frontend/dev/metadata/struct.VirtualCell.html\" title=\"struct halo2_frontend::dev::metadata::VirtualCell\">VirtualCell</a>"]],
"halo2_proofs":[["impl <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><<a class=\"enum\" href=\"halo2_proofs/plonk/enum.ErrorBack.html\" title=\"enum halo2_proofs::plonk::ErrorBack\">Error</a>> for <a class=\"enum\" href=\"halo2_proofs/plonk/enum.Error.html\" title=\"enum halo2_proofs::plonk::Error\">Error</a>"],["impl <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><<a class=\"enum\" href=\"halo2_proofs/plonk/enum.ErrorFront.html\" title=\"enum halo2_proofs::plonk::ErrorFront\">Error</a>> for <a class=\"enum\" href=\"halo2_proofs/plonk/enum.Error.html\" title=\"enum halo2_proofs::plonk::Error\">Error</a>"]],
"p3_frontend":[["impl<F: Field> <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><<a class=\"struct\" href=\"p3_frontend/struct.SymbolicVariable.html\" title=\"struct p3_frontend::SymbolicVariable\">SymbolicVariable</a><F>> for <a class=\"enum\" href=\"p3_frontend/enum.SymbolicExpression.html\" title=\"enum p3_frontend::SymbolicExpression\">SymbolicExpression</a><F>"],["impl<F: Field> <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.From.html\" title=\"trait core::convert::From\">From</a><F> for <a class=\"enum\" href=\"p3_frontend/enum.SymbolicExpression.html\" title=\"enum p3_frontend::SymbolicExpression\">SymbolicExpression</a><F>"]]
};if (window.register_implementors) {window.register_implementors(implementors);} else {window.pending_implementors = implementors;}})()
\ No newline at end of file
diff --git a/trait.impl/core/convert/trait.TryFrom.js b/trait.impl/core/convert/trait.TryFrom.js
index f5e3229f23..cd7d4a084c 100644
--- a/trait.impl/core/convert/trait.TryFrom.js
+++ b/trait.impl/core/convert/trait.TryFrom.js
@@ -1,3 +1,3 @@
(function() {var implementors = {
-"halo2_frontend":[["impl <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html\" title=\"trait core::convert::TryFrom\">TryFrom</a><<a class=\"struct\" href=\"halo2_frontend/plonk/circuit/expression/struct.Column.html\" title=\"struct halo2_frontend::plonk::circuit::expression::Column\">Column</a><<a class=\"enum\" href=\"halo2_middleware/circuit/enum.Any.html\" title=\"enum halo2_middleware::circuit::Any\">Any</a>>> for <a class=\"struct\" href=\"halo2_frontend/plonk/circuit/expression/struct.Column.html\" title=\"struct halo2_frontend::plonk::circuit::expression::Column\">Column</a><<a class=\"struct\" href=\"halo2_frontend/plonk/circuit/struct.Advice.html\" title=\"struct halo2_frontend::plonk::circuit::Advice\">Advice</a>>"],["impl <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html\" title=\"trait core::convert::TryFrom\">TryFrom</a><<a class=\"struct\" href=\"halo2_frontend/plonk/circuit/expression/struct.Column.html\" title=\"struct halo2_frontend::plonk::circuit::expression::Column\">Column</a><<a class=\"enum\" href=\"halo2_middleware/circuit/enum.Any.html\" title=\"enum halo2_middleware::circuit::Any\">Any</a>>> for <a class=\"struct\" href=\"halo2_frontend/plonk/circuit/expression/struct.Column.html\" title=\"struct halo2_frontend::plonk::circuit::expression::Column\">Column</a><<a class=\"struct\" href=\"halo2_frontend/plonk/circuit/struct.Fixed.html\" title=\"struct halo2_frontend::plonk::circuit::Fixed\">Fixed</a>>"],["impl <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html\" title=\"trait core::convert::TryFrom\">TryFrom</a><<a class=\"struct\" href=\"halo2_frontend/plonk/circuit/expression/struct.Column.html\" title=\"struct halo2_frontend::plonk::circuit::expression::Column\">Column</a><<a class=\"enum\" href=\"halo2_middleware/circuit/enum.Any.html\" title=\"enum halo2_middleware::circuit::Any\">Any</a>>> for <a class=\"struct\" href=\"halo2_frontend/plonk/circuit/expression/struct.Column.html\" title=\"struct halo2_frontend::plonk::circuit::expression::Column\">Column</a><<a class=\"struct\" href=\"halo2_frontend/plonk/circuit/struct.Instance.html\" title=\"struct halo2_frontend::plonk::circuit::Instance\">Instance</a>>"]]
+"halo2_frontend":[["impl <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html\" title=\"trait core::convert::TryFrom\">TryFrom</a><<a class=\"struct\" href=\"halo2_frontend/plonk/circuit/expression/struct.Column.html\" title=\"struct halo2_frontend::plonk::circuit::expression::Column\">Column</a><Any>> for <a class=\"struct\" href=\"halo2_frontend/plonk/circuit/expression/struct.Column.html\" title=\"struct halo2_frontend::plonk::circuit::expression::Column\">Column</a><<a class=\"struct\" href=\"halo2_frontend/plonk/circuit/struct.Advice.html\" title=\"struct halo2_frontend::plonk::circuit::Advice\">Advice</a>>"],["impl <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html\" title=\"trait core::convert::TryFrom\">TryFrom</a><<a class=\"struct\" href=\"halo2_frontend/plonk/circuit/expression/struct.Column.html\" title=\"struct halo2_frontend::plonk::circuit::expression::Column\">Column</a><Any>> for <a class=\"struct\" href=\"halo2_frontend/plonk/circuit/expression/struct.Column.html\" title=\"struct halo2_frontend::plonk::circuit::expression::Column\">Column</a><<a class=\"struct\" href=\"halo2_frontend/plonk/circuit/struct.Fixed.html\" title=\"struct halo2_frontend::plonk::circuit::Fixed\">Fixed</a>>"],["impl <a class=\"trait\" href=\"https://doc.rust-lang.org/nightly/core/convert/trait.TryFrom.html\" title=\"trait core::convert::TryFrom\">TryFrom</a><<a class=\"struct\" href=\"halo2_frontend/plonk/circuit/expression/struct.Column.html\" title=\"struct halo2_frontend::plonk::circuit::expression::Column\">Column</a><Any>> for <a class=\"struct\" href=\"halo2_frontend/plonk/circuit/expression/struct.Column.html\" title=\"struct halo2_frontend::plonk::circuit::expression::Column\">Column</a><<a class=\"struct\" href=\"halo2_frontend/plonk/circuit/struct.Instance.html\" title=\"struct halo2_frontend::plonk::circuit::Instance\">Instance</a>>"]]
};if (window.register_implementors) {window.register_implementors(implementors);} else {window.pending_implementors = implementors;}})()
\ No newline at end of file