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naclcl.lisp
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(in-package #:naclcl)
(defun sub-vector (vector start end)
(make-array (- end start)
:displaced-to vector
:displaced-index-offset start))
; #include "tweetnacl.h"
; #define FOR(i,n) for (i = 0; i < n; ++i)
; #define sv static void
; typedef unsigned char u8;
; typedef unsigned int u32;
; typedef unsigned long long u64;
; typedef long long i64;
; typedef i64 gf[16]; //16x64 = 1024
(deftype -u8- () 'unsigned-byte)
(deftype -u32- () 'integer) ; to be specified
(deftype -u64- () 'integer)
(deftype -i64- () 'integer)
(defun make-gf ()
(make-array 16 :element-type '-i64- :initial-element 0))
(defun make-gf-1 ()
(let ((gf (make-gf)))
(setf (aref gf 0) 1)
gf))
; extern void randombytes(u8*, u64);
(defun randombytes (n &optional (target (make-array n :element-type '-u8-)))
(map-into target
(lambda ()
(random 256))))
; static const u8 _0[16],
; _9[32] = {9};
(defparameter *0* (make-array 16 :element-type '-u8-))
(defparameter *9* (make-array 32
:element-type '-u8-
:initial-contents (cons 9
(loop :repeat 31
:collect 0))))
; static const gf gf0,
; gf1={1},
; _121665={0xDB41,1},
; D={0x78a3,0x1359,0x4dca,0x75eb,0xd8ab,0x4141,0x0a4d,0x0070,0xe898,0x7779,0x4079,0x8cc7,0xfe73,0x2b6f,0x6cee,0x5203},
; D2={0xf159,0x26b2,0x9b94,0xebd6,0xb156,0x8283,0x149a,0x00e0,0xd130,0xeef3,0x80f2,0x198e,0xfce7,0x56df,0xd9dc,0x2406},
; X={0xd51a,0x8f25,0x2d60,0xc956,0xa7b2,0x9525,0xc760,0x692c,0xdc5c,0xfdd6,0xe231,0xc0a4,0x53fe,0xcd6e,0x36d3,0x2169},
; Y={0x6658,0x6666,0x6666,0x6666,0x6666,0x6666,0x6666,0x6666,0x6666,0x6666,0x6666,0x6666,0x6666,0x6666,0x6666,0x6666},
; I={0xa0b0,0x4a0e,0x1b27,0xc4ee,0xe478,0xad2f,0x1806,0x2f43,0xd7a7,0x3dfb,0x0099,0x2b4d,0xdf0b,0x4fc1,0x2480,0x2b83};
(defparameter *gf0* (make-gf))
(defparameter *gf1* (make-gf-1))
(defparameter *121665* (make-array 16
:element-type '-i64-
:initial-contents (list* 1
#xDB41
(loop :repeat 14
:collect 0))))
(defparameter *d* #(#x78a3 #x1359 #x4dca #x75eb
#xd8ab #x4141 #x0a4d #x0070
#xe898 #x7779 #x4079 #x8cc7
#xfe73 #x2b6f #x6cee #x5203))
(defparameter *d2* #(#xf159 #x26b2 #x9b94 #xebd6
#xb156 #x8283 #x149a #x00e0
#xd130 #xeef3 #x80f2 #x198e
#xfce7 #x56df #xd9dc #x2406))
(defparameter *x* #(#xd51a #x8f25 #x2d60 #xc956
#xa7b2 #x9525 #xc760 #x692c
#xdc5c #xfdd6 #xe231 #xc0a4
#x53fe #xcd6e #x36d3 #x2169))
(defparameter *y* #(#x6658 #x6666 #x6666 #x6666
#x6666 #x6666 #x6666 #x6666
#x6666 #x6666 #x6666 #x6666
#x6666 #x6666 #x6666 #x6666))
(defparameter *i* #(#xa0b0 #x4a0e #x1b27 #xc4ee
#xe478 #xad2f #x1806 #x2f43
#xd7a7 #x3dfb #x0099 #x2b4d
#xdf0b #x4fc1 #x2480 #x2b83))
; static u32 L32 (u32 x, int c)
; { return (x << c) | (x >> (32 - c)); }
(defun l-32 (x c)
(declare (type -u32- x)
(type integer c))
(logior (ash x c)
(ash x (- (- 32 c)))))
; static u32 ld32 (const u8 *x)
; { u32 u = x[3];
; u = (u<<8) | x[2];
; u = (u<<8) | x[1];
; return (u<<8) | x[0]; }
(defun ld-32 (x)
(declare ((array -u8-) x))
(logior (ash (aref x 3) (* 3 8))
(ash (aref x 2) (* 2 8))
(ash (aref x 1) (* 1 8))
(aref x 0)))
; static u64 dl64 (const u8 *x)
; { u64 i, u=0;
; FOR (i, 8) u = (u<<8) | x[i];
; return u; }
(defun dl-64 (array)
(assemble-number array 8))
(defun assemble-number (array n)
"Assemble array to a single number. Array consists of bytes, most
significant last."
(declare ((array -u8-) array))
(let ((target 0))
(dotimes (i n)
(setf target
(dpb (aref array i)
(byte 8 (* i 8))
target)))
target))
; sv st32 (u8 *x, u32 u)
; { int i;
; FOR (i, 4)
; { x [i] = u;
; u >>= 8; } }
(defun st-32 (number)
(declare (type -u32- number))
(disassemble-number number 4))
(defun disassemble-number (number size)
(let ((target (make-array size :element-type '-u8-)))
(loop :for i :below size
:for position :upfrom 0 :by 8
:do (setf (aref target i)
(ldb (byte 8 position) number)))))
; sv ts64 (u8 *x, u64 u)
; { int i;
; for (i = 7; i >= 0; --i)
; { x[i] = u;
; u >>= 8; } }
(defun ts-64 (number)
(declare (type -u64- number))
(disassemble-number number 8))
; static int vn (const u8 *x, const u8 *y, int n)
; { u32 i, d = 0;
; FOR (i, n) d |= x[i] ^ y[i];
; return (1 & ((d - 1) >> 8)) - 1; }
(defun vn (array-x array-y)
"Vergleich mit konstantem Zeitbedarf (d. h. immer gleich, um aus der
Vergleichszeit keinen Side-Channel-Angriff zu ermöglichen. Gibt 0
zurück, wenn die Arrays gleich sind, sonst -1."
(let ((combined (reduce #'logior
(map 'vector #'logxor array-x array-y))))
(1- (logand 1 (ash (1- combined) -8)))))
; int crypto_verify_16 (const u8 *x, const u8 *y)
; { return vn (x, y, 16); }
(defun crypto-verify-16 (x y)
(zerop (vn x y)))
(defun crypto-verify-32 (x y)
(zerop (vn x y)))
; sv core (u8 *out, const u8 *in, const u8 *k, const u8 *c, int h)
; { u32 w[16], x[16], y[16], t[4];
; int i, j, m;
; FOR (i, 4)
; { x[5*i] = ld32 (c + 4 * i);
; x[1+i] = ld32 (k + 4 * i);
; x[6+i] = ld32 (in + 4 * i);
; x[11+i] = ld32 (k + 16 + 4 * i); }
; FOR (i, 16) y[i] = x[i];
; FOR (i, 20)
; { FOR (j, 4)
; { FOR (m, 4) t[m] = x[(5*j+4*m)%16];
; t[1] ^= L32 (t[0] + t[3], 7);
; t[2] ^= L32 (t[1] + t[0], 9);
; t[3] ^= L32 (t[2] + t[1], 13);
; t[0] ^= L32 (t[3] + t[2], 18);
; FOR (m, 4) w[4*j+(j+m)%4] = t[m]; }
; FOR (m, 16) x[m] = w[m]; }
; if (h)
; { FOR (i, 16) x[i] += y[i];
; FOR (i, 4)
; { x[5*i] -= ld32 (c+4*i);
; x[6+i] -= ld32 (in+4*i); }
; FOR (i, 4)
; { st32 (out + 4 * i, x[5*i]);
; st32 (out + 16 + 4 * i, x[6+i]); } }
; else
; FOR (i, 16) st32 (out + 4 * i, x[i] + y[i]); }
(defun core (out in k c h
&aux
(w (make-array 16 :element-type '-u32-))
(x (make-array 16 :element-type '-u32-))
(y (make-array 16 :element-type '-u32-))
(tmp (make-array 16 :element-type '-u32-)))
(declare (array out in k c)
(boolean h))
(dotimes (i 4)
(let* ((start-index (* 4 i))
(end-index (+ start-index 4)))
(setf (aref x (* i 5)) (ld-32 (subseq c start-index end-index))
(aref x (+ i 1)) (ld-32 (subseq k start-index end-index))
(aref x (+ i 6)) (ld-32 (subseq in start-index end-index))
(aref x (+ i 11)) (ld-32 (subseq k
(+ 16 start-index)
(+ 16 end-index))))))
(map-into y #'identity x)
(dotimes (i 20)
(dotimes (j 4)
(dotimes (m 4)
(setf (aref tmp m)
(aref x (mod (+ (* 5 j)
(* 4 m))
16))))
(setf (aref tmp 1) (logxor (aref tmp 1)
(l-32 (+ (aref tmp 0) (aref tmp 3))
7))
(aref tmp 2) (logxor (aref tmp 2)
(l-32 (+ (aref tmp 1) (aref tmp 0))
9))
(aref tmp 3) (logxor (aref tmp 3)
(l-32 (+ (aref tmp 2) (aref tmp 1))
13))
(aref tmp 0) (logxor (aref tmp 0)
(l-32 (+ (aref tmp 3) (aref tmp 2))
18)))
(dotimes (m 4)
(setf (aref w (mod (+ (* 4 j) (+ j m)) 4))
(aref tmp m))))
(setf x (copy-seq w)))
(if h
(progn
(map-into x #'+ x y)
(dotimes (i 4)
(let* ((start-index (* 4 i))
(end-index (+ start-index 4)))
(decf (aref x (* 5 i)) (ld-32 (subseq c start-index end-index)))
(decf (aref x (+ i 6)) (ld-32 (subseq in start-index end-index)))))
(dotimes (i 4)
(let* ((start-index (* 4 i))
(end-index (+ start-index 4)))
(setf (subseq out
start-index
end-index)
(st-32 (aref x (* 5 i)))
(subseq out
(+ start-index 16)
(+ end-index 16))
(st-32 (aref x (+ i 6)))))))
(dotimes (i 16)
(let* ((start-index (* 4 i))
(end-index (+ start-index 4)))
(setf (subseq out start-index end-index)
(st-32 (+ (aref x i) (aref y i)))))))
out)
; int crypto_core_salsa20 (u8 *out, const u8 *in, const u8 *k, const u8 *c)
; { core (out, in, k, c, 0);
; return 0; }
(defun crypto-core-salsa-20 (out in k c)
(core out in k c nil))
; int crypto_core_hsalsa20 (u8 *out, const u8 *in, const u8 *k, const u8 *c)
; { core (out, in, k, c, 1);
; return 0; }
(defun crypto-core-hsalsa-20 (out in k c)
(core out in k c t))
; static const u8 sigma[16]="expand 32-byte k";
(defparameter *sigma* "expand 32-byte k")
; int crypto_stream_salsa20_xor (u8 *c, const u8 *m, u64 b, const u8 *n, const u8 *k)
; { u8 z[16], x[64];
; u32 u, i;
; if (!b) return 0;
; FOR (i, 16) z[i] = 0;
; FOR (i, 8) z[i] = n[i];
; while (b >= 64)
; { crypto_core_salsa20 (x, z, k, sigma);
; FOR (i, 64) c[i] = (m ? m[i] : 0) ^ x[i];
; u = 1;
; for (i = 8; i < 16; ++i)
; { u += (u32) z[i];
; z[i] = u;
; u >>= 8; }
; b -= 64;
; c += 64;
; if (m) m += 64; }
; if (b)
; { crypto_core_salsa20 (x, z, k, sigma);
; FOR (i, b) c[i] = (m ? m[i] : 0) ^ x[i]; }
; return 0; }
(defun crypto-stream-salsa-20-xor (c m b n k
&aux
(x (make-array 64 :element-type '-u8-))
(z (make-array 16
:element-type '-u8-
:initial-element 0)))
(unless (zerop b)
(setf (subseq z 0 8) (subseq n 0 8))
(loop
:while (>= b 64)
:do (let ((x (crypto-core-salsa-20 x z k *sigma*))
(u 1))
(if m
(map-into c #'logxor m x)
(map-into c #'identity x))
(loop
:for i :from 8 :below 16
:do (incf u (aref z i))
(setf (aref z i) u)
(setf u (ash u -8)))
(decf b 64)
(setf c (subseq c 64))
(when m (setf m (subseq m 64)))))
(unless (zerop b)
(let ((x (crypto-core-salsa-20 x z k *sigma*)))
(if m
(map-into c #'logxor m x)
(map-into c #'identity x)))))
c)
; int crypto_stream_salsa20 (u8 *c, u64 d, const u8 *n, const u8 *k)
; { return crypto_stream_salsa20_xor (c, 0, d, n, k); }
(defun crypto-stream-salsa-20 (c d n k)
(crypto-stream-salsa-20-xor c nil d n k))
; int crypto_stream (u8 *c, u64 d, const u8 *n, const u8 *k)
; { u8 s[32];
; crypto_core_hsalsa20 (s,n,k,sigma);
; return crypto_stream_salsa20 (c, d, n + 16, s); }
(defun crypto-stream (c d n k
&aux
(s (make-array 32 :element-type '-u8-)))
(let ((s (crypto-core-hsalsa-20 s n k *sigma*)))
(crypto-stream-salsa-20 c d (subseq n 16 24) s)))
; int crypto_stream_xor (u8 *c, const u8 *m, u64 d, const u8 *n, const u8 *k)
; { u8 s[32];
; crypto_core_hsalsa20 (s,n,k,sigma);
; return crypto_stream_salsa20_xor (c, m, d, n + 16, s); }
(defun crypto-stream-xor (c m d n k
&aux
(s (make-array 32 :element-type '-u8-)))
(let ((s (crypto-core-hsalsa-20 s n k *sigma*)))
(crypto-stream-salsa-20-xor c m d (subseq n 16 24) s)))
; sv add1305 (u32 *h, const u32 *c)
; { u32 j, u = 0;
; FOR (j, 17)
; { u += h[j] + c[j];
; h[j] = u & 255;
; u >>= 8; } }
(defun add-1305 (h c)
(let ((u 0))
(dotimes (j 17 h)
(incf u (+ (aref h j) (aref c j)))
(setf (aref h j) (logand u 255)
u (ash u -8)))))
; static const u32 minusp[17] = {5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,252};
(defparameter *minusp* (make-array 17
:element-type '-u32-
:initial-contents (append (list 5)
(loop :repeat 15
:collect 0)
(list 252))))
; int crypto_onetimeauth (u8 *out, const u8 *m, u64 n, const u8 *k)
; { u32 s, i, j, u, x[17], r[17], h[17], c[17], g[17];
; FOR (j, 17) r[j] = h[j] = 0;
; FOR (j, 16) r[j] = k[j];
; r[3] &= 15;
; r[4] &= 252;
; r[7] &= 15;
; r[8] &= 252;
; r[11] &= 15;
; r[12] &= 252;
; r[15] &= 15;
; while (n > 0)
; { FOR (j, 17) c[j] = 0;
; for (j = 0; (j < 16) && (j < n); ++j) c[j] = m[j];
; c[j] = 1;
; m += j;
; n -= j;
; add1305 (h, c);
; FOR (i, 17)
; { x[i] = 0;
; FOR (j, 17) x[i] += h[j] * ((j <= i) ? r[i - j] : 320 * r[i + 17 - j]); }
; FOR (i, 17) h[i] = x[i];
; u = 0;
; FOR (j, 16)
; { u += h[j];
; h[j] = u & 255;
; u >>= 8; }
; u += h[16];
; h[16] = u & 3;
; u = 5 * (u >> 2);
; FOR (j, 16)
; { u += h[j];
; h[j] = u & 255;
; u >>= 8; }
; u += h[16];
; h[16] = u; }
; FOR (j, 17) g[j] = h[j];
; add1305 (h, minusp);
; s = -(h[16] >> 7);
; FOR (j, 17) h[j] ^= s & (g[j] ^ h[j]);
; FOR (j, 16) c[j] = k[j + 16];
; c[16] = 0;
; add1305 (h, c);
; FOR (j, 16) out[j] = h[j];
; return 0; }
(defun crypto-onetimeauth (out m n k)
(let ((r (make-array 17 :element-type '-u32- :initial-element 0))
(h (make-array 17 :element-type '-u32- :initial-element 0)))
(setf (subseq r 0 16) (subseq k 0 16))
(dolist (index '(3 7 11 15))
(setf (aref r index) (logand (aref r index) 15)))
(dolist (index '(4 8 12))
(setf (aref r index) (logand (aref r index) 252)))
(loop :while (plusp n)
:for c := (make-array 17 :element-type '-u32- :initial-element 0)
:for length := (min 16 n)
:for x := (make-array 17 :element-type '-u32- :initial-element 0)
:for u := 0
:do (setf (subseq c 0 length) (subseq m 0 length)
(aref c length) 1
m (subseq m length))
(decf n length)
(setf h (add-1305 h c))
(dotimes (i 17)
(dotimes (j 17)
(incf (aref x i)
(* (aref h j)
(if (<= j i)
(aref r (- i j))
(* 320 (aref r (- i -17 j))))))))
(setf h x)
(dotimes (j 16)
(incf u (aref h j))
(setf (aref h j) (logand u 255)
u (ash u -8)))
(incf u (aref h 16))
(setf (aref h 16) (logand u 3)
u (* 5 (ash u -2)))
(dotimes (j 16)
(incf u (aref h j))
(setf (aref h j) (logand u 255)
u (ash u -8)))
(incf u (aref h 16))
(setf (aref h 16) u)
:finally
(let ((g (copy-seq h)))
(setf h (add-1305 h *minusp*))
(let ((s (- (ash (aref h 16) -7))))
(map-into h
(lambda (gval hval)
(logxor hval
(logand s
(logxor gval hval))))
g h)))
(setf (subseq c 0 16) (subseq k 16 32)
(aref c 16) 0
h (add-1305 h c)))
(map-into out #'identity h)))
; int crypto_onetimeauth_verify (const u8 *h, const u8 *m, u64 n, const u8 *k)
; { u8 x[16];
; crypto_onetimeauth(x,m,n,k);
; return crypto_verify_16(h,x); }
(defun crypto-onetimeauth-verify (h m n k
&aux
(x (make-array 16 :element-type '-u8-)))
(let ((x (crypto-onetimeauth x m n k)))
(crypto-verify-16 h x)))
; int crypto_secretbox (u8 *c, const u8 *m, u64 d, const u8 *n, const u8 *k)
; { int i;
; if (d < 32) return -1;
; crypto_stream_xor (c, m, d, n, k);
; crypto_onetimeauth (c + 16, c + 32, d - 32, c);
; FOR (i, 16) c[i] = 0;
; return 0; }
(defun crypto-secretbox (c m d n k)
(when (< d 32)
(error "D should be >= 32, but is ~s." d))
(crypto-stream-xor c m d n k)
(crypto-onetimeauth (subseq c 16) (subseq c 32) (- d 32) c)
(dotimes (i 16)
(setf (aref c i) 0))
c)
; int crypto_secretbox_open (u8 *m, const u8 *c, u64 d, const u8 *n, const u8 *k)
; { int i;
; u8 x[32];
; if (d < 32) return -1;
; crypto_stream (x, 32, n, k);
; if (crypto_onetimeauth_verify (c + 16, c + 32, d - 32, x) != 0) return -1;
; crypto_stream_xor (m, c, d, n, k);
; FOR (i, 32) m[i] = 0;
; return 0; }
(defun crypto-secretbox-open (m c d n k
&aux
(x (make-array 32 :element-type '-u8-)))
(when (< d 32)
(error "D should be >= 32, but is ~s." d))
(let ((x (crypto-stream x 32 n k)))
(assert (crypto-onetimeauth-verify (subseq c 16) (subseq c 32) (- d 32) x)
()
"Verification failed.")
(crypto-stream-xor m c d n k)
(dotimes (i 32)
(setf (aref m i) 0))
m))
; sv set25519 (gf r, const gf a)
; { int i;
; FOR (i, 16) r[i] = a[i]; }
(defun set-25519 (r a)
(setf (subseq r 0 16)
(subseq a 0 16))
r)
; sv car25519 (gf o)
; { int i;
; i64 c;
; FOR (i, 16)
; { o[i] += (1 << 16);
; c = o[i] >> 16;
; o[(i + 1) * (i < 15)] += c - 1 + 37 * (c - 1) * (i == 15);
; o[i] -= c << 16; } }
(defun car-25519 (o)
(dotimes (i 16 o)
(incf (aref o i) (ash 1 16))
(let ((c (ash (aref o i) -16)))
(incf (aref o (* (1+ i)
(if (< i 15) 1 0)))
(+ c -1 (* 37
(1- c)
(if (= i 15) 1 0))))
(decf (aref o i) (ash c 16)))))
; sv sel25519 (gf p, gf q, int b)
; { i64 t, i, c = ~(b - 1);
; FOR (i, 16)
; { t = c & (p[i] ^ q[i]);
; p[i] ^= t;
; q[i] ^= t; } }
(defun sel-25519 (p q b)
(let ((c (lognot (1- b))))
(dotimes (i 16)
(let ((tmp (logand c (logxor (aref p i) (aref q i)))))
(setf (aref p i) (logxor (aref p i) tmp)
(aref q i) (logxor (aref q i) tmp))))
(values p q)))
; sv pack25519 (u8 *o, const gf n)
; { int i, j, b;
; gf m, t;
; FOR (i, 16) t[i] = n[i];
; car25519 (t);
; car25519 (t);
; car25519 (t);
; FOR (j, 2)
; { m[0] = t[0] - 0xffed;
; for (i = 1; i < 15; i++)
; { m[i] = t[i] - 0xffff - ((m[i - 1] >> 16) & 1);
; m[i - 1] &= 0xffff; }
; m[15] = t[15] - 0x7fff - ((m[14] >> 16) & 1);
; b = (m[15] >> 16) & 1;
; m[15] &= 0xffff;
; sel25519 (t, m, 1 - b); }
; FOR (i, 16)
; { o[2 * i] = t[i] & 0xff;
; o[2 * i + 1] = t[i] >> 8; } }
(defun pack-25519 (o n)
(let ((tmp (copy-seq n))
(m (make-gf)))
(dotimes (_ 3)
(setf tmp (car-25519 tmp)))
(dotimes (j 2)
(setf (aref m 0) (- (aref tmp 0) #xFFED))
(loop :for i :from 1 :below 15
:do (setf (aref m i) (- (aref tmp i)
#xFFFF
(logand (ash (aref m (1- i)) -16)
1))
(aref m (1- i)) (mask-field (byte 16 0) (aref m (1- i)))))
(setf (aref m 15) (- (aref tmp 15)
#x7FFF
(logand (ash (aref m 14) -16)
1)))
(let ((b (mask-field (byte 1 0) (ash (aref m 15) -16))))
(setf (aref m 15) (mask-field (byte 16 0) (aref m 15)))
(sel-25519 tmp m (1- b))))
(dotimes (i 16 o)
(setf (aref o (* 2 i)) (mask-field (byte 8 0) (aref tmp i))
(aref o (1+ (* 2 i))) (ash (aref tmp i) -8)))))
; static int neq25519 (const gf a, const gf b)
; { u8 c[32], d[32];
; pack25519 (c, a);
; pack25519 (d, b);
; return crypto_verify_32 (c, d); }
(defun neq-25519 (a b)
(let ((c (make-array 32 :element-type '-u8-))
(d (make-array 32 :element-type '-u8-)))
(setf c (pack-25519 c a)
d (pack-25519 d b))
(crypto-verify-32 c d)))
; static u8 par25519 (const gf a)
; { u8 d[32];
; pack25519 (d, a);
; return d[0] & 1; }
(defun par-25519 (a)
(let ((d (make-array 32 :element-type '-u8-)))
(setf d (pack-25519 d a))
(mask-field (byte 1 0) (aref d 0))))
; sv unpack25519 (gf o, const u8 *n)
; { int i;
; FOR (i, 16) o[i] = n[2 * i] + ((i64) n[2 * i + 1] << 8);
; o[15] &= 0x7fff; }
(defun unpack-25519 (o n)
(dotimes (i 16 o)
(setf (aref o i) (+ (aref n (* 2 i))
(ash (aref n (1+ (* 2 i))) 8))))
(setf (aref o 15) (mask-field (byte 15 0) (aref o 15)))
o)
; sv A (gf o, const gf a, const gf b)
; { int i;
; FOR (i, 16) o[i] = a[i] + b[i]; }
(defun a (o a b)
(map-into o #'+ a b))
; sv Z (gf o, const gf a, const gf b)
; { int i;
; FOR (i, 16) o[i] = a[i] - b[i]; }
(defun z (o a b)
(map-into o #'- a b))
; sv M (gf o, const gf a, const gf b)
; { i64 i, j, t[31];
; FOR (i, 31) t[i] = 0;
; FOR (i, 16)
; FOR (j, 16) t[i + j] += a[i] * b[j];
; FOR (i, 15) t[i] += 38 * t[i + 16];
; FOR (i, 16) o[i] = t[i];
; car25519 (o);
; car25519 (o); }
(defun m (o a b)
(let ((tmp (make-array 31 :element-type '-i64- :initial-element 0)))
(dotimes (i 16)
(dotimes (j 16)
(incf (aref tmp (+ i j)) (* (aref a i) (aref b i)))))
(dotimes (i 15)
(incf (aref tmp i) (* 38 (aref tmp (+ i 16)))))
(map-into o #'identity tmp)
(dotimes (i 2 o)
(setf o (car-25519 o)))))
; sv S (gf o, const gf a)
; { M (o, a, a); }
(defun s (o a)
(m o a a))
; sv inv25519 (gf o, const gf i)
; { gf c;
; int a;
; FOR (a, 16) c[a] = i[a];
; for (a = 253; a >= 0; a--)
; { S (c, c);
; if (a != 2 && a != 4) M (c, c, i); }
; FOR (a, 16) o[a] = c[a]; }
(defun inv-25519 (o i)
(let ((c (copy-seq i)))
(loop :for a :downfrom 253 :downto 0
:do (setf c (s c c))
(unless (member a '(2 4))
(setf c (m c c i))))
(map-into o #'identity c)))
; sv pow2523 (gf o, const gf i)
; { gf c;
; int a;
; FOR (a, 16) c[a] = i[a];
; for (a = 250; a >= 0; a--)
; { S (c, c);
; if (a != 1) M (c, c, i); }
; FOR (a, 16) o[a] = c[a]; }
(defun pow-2523 (o i)
(let ((c (copy-seq i)))
(loop :for a :downfrom 250 :downto 0
:do (setf c (s c c))
(when (/= a 1)
(setf c (m c c i))))
(map-into o #'identity c)))
; int crypto_scalarmult (u8 *q, const u8 *n, const u8 *p)
; { u8 z[32];
; i64 x[96], r, i;
; gf a, b, c, d, e, f;
; FOR (i, 31) z[i] = n[i];
; z[31] = (n[31] & 127) | 64;
; z[0] &= 248;
; unpack25519 (x, p);
; FOR (i, 16)
; { b[i] = x[i];
; d[i] = a[i] = c[i] = 0; }
; a[0] = d[0] = 1;
; for (i = 254; i >= 0; --i)
; { r = (z[i >> 3] >> (i & 7)) & 1;
; sel25519 (a, b, r);
; sel25519 (c, d, r);
; A (e, a, c);
; Z (a, a, c);
; A (c, b, d);
; Z (b, b, d);
; S (d, e);
; S (f, a);
; M (a, c, a);
; M (c, b, e);
; A (e, a, c);
; Z (a, a, c);
; S (b, a);
; Z (c, d, f);
; M (a, c, _121665);
; A (a, a, d);
; M (c, c, a);
; M (a, d, f);
; M (d, b, x);
; S (b, e);
; sel25519 (a, b, r);
; sel25519 (c, d, r); }
; FOR (i, 16)
; { x[i + 32] = a[i];
; x[i + 48] = c[i];
; x[i + 64] = b[i];
; x[i + 80] = d[i]; }
; inv25519 (x + 48, x + 48);
; M (x + 32, x + 32, x + 48);
; pack25519 (q, x + 32);
; return 0; }
(defun crypto-scalarmult (q n p)
(let ((z (make-array 32 :element-type '-u8-))
(x (make-array 96 :element-type '-i64-))
(a (make-gf-1))
(b (make-gf))
(c (make-gf))
(d (make-gf-1))
(e (make-gf))
(f (make-gf)))
(setf (subseq z 0 31) (subseq n 0 31)
(aref z 31) (logior (mask-field (byte 7 0) (aref n 31))
64)
(aref z 0) (mask-field (byte 5 3) (aref z 0))
x (unpack-25519 x p)
b (copy-seq x))
(do* ((i 254 (1- i))
(r (mask-field (byte 1 0)
(ash (aref z (ash i -3))
(- (mask-field (byte 3 0) i))))))
((minusp i))
(sel-25519 a b r)
(sel-25519 c d r)
(setf e (a e a c)
a (z a a c)
c (a c b d)
b (z b b d)
d (s d e)
f (s f a)
a (m a c a)
c (m c b e)
e (a e a c)
a (z a a c)
b (s b a)
c (z c d f)
a (m a c *121665*)
a (a a a d)
c (m c c a)
a (m a d f)
d (m d b x)
b (s b e))
(sel-25519 a b r)
(sel-25519 c d r))
(dotimes (i 16)
(setf (aref x (+ i 32)) (aref a i)
(aref x (+ i 48)) (aref c i)
(aref x (+ i 64)) (aref b i)
(aref x (+ i 80)) (aref d i)))
(setf (subseq x 48) (inv-25519 (subseq x 48) (subseq x 48))
(subseq x 32) (m (subseq x 32) (subseq x 32) (subseq x 48))
q (pack-25519 q (subseq x 32)))))
; int crypto_scalarmult_base (u8 *q, const u8 *n)
; { return crypto_scalarmult (q, n, _9); }
(defun crypto-scalarmult-base (q n)
(crypto-scalarmult q n *9*))
; int crypto_box_keypair (u8 *y, u8 *x)
; { randombytes (x, 32);
; return crypto_scalarmult_base (y, x); }
(defun crypto-box-keypair (y x)
(setf x (randombytes x 32))
(crypto-scalarmult-base y x))
; int crypto_box_beforenm (u8 *k, const u8 *y, const u8 *x)
; { u8 s[32];
; crypto_scalarmult (s, x, y);
; return crypto_core_hsalsa20 (k, _0, s, sigma); }
(defun crypto-box-beforenm (k y x
&aux
(s (make-array 32 :element-type '-u8-)))
(crypto-scalarmult s x y)
(crypto-core-hsalsa-20 k *0* s *sigma*))
; int crypto_box_afternm (u8 *c, const u8 *m, u64 d, const u8 *n, const u8 *k)
; { return crypto_secretbox (c, m, d, n, k); }
(defun crypto-box-afternm (c m d n k)
(crypto-secretbox c m d n k))
; int crypto_box_open_afternm (u8 *m, const u8 *c, u64 d, const u8 *n, const u8 *k)
; { return crypto_secretbox_open (m, c, d, n, k); }
(defun crypto-box-open-afternm (m c d n k)
(crypto-secretbox-open m c d n k))
; int crypto_box (u8 *c, const u8 *m, u64 d, const u8 *n, const u8 *y, const u8 *x)
; { u8 k[32];
; crypto_box_beforenm (k, y, x);
; return crypto_box_afternm (c, m, d, n, k); }
(defun crypto-box (c m d n y x
&aux
(k (make-array 32 :element-type '-u8-)))
(crypto-box-beforenm k y x)
(crypto-box-afternm c m d n k))
; int crypto_box_open (u8 *m, const u8 *c, u64 d, const u8 *n, const u8 *y, const u8 *x)
; { u8 k[32];
; crypto_box_beforenm (k, y, x);
; return crypto_box_open_afternm (m, c, d, n, k); }
(defun crypto-box-open (m c d n y x
&aux
(k (make-array 32 :element-type '-u8-)))
(crypto-box-beforenm k y x)
(crypto-box-open-afternm m c d n k))
; static u64 R (u64 x, int c)
; { return (x >> c) | (x << (64 - c)); }
(defun r (x c)
(logior (ash x c)
(ash x (- (- 64 c)))))
; static u64 Ch (u64 x, u64 y, u64 z)
; { return (x & y) ^ (~x & z); }
(defun ch (x y z)
(logxor (logand x y)
(logandc1 x z)))
; static u64 Maj (u64 x, u64 y, u64 z)
; { return (x & y) ^ (x & z) ^ (y & z); }
(defun maj (x y z)
(logxor (logand x y)
(logand x z)
(logand y z)))
; static u64 Sigma0 (u64 x)
; { return R (x, 28) ^ R (x, 34) ^ R(x, 39); }
(defun sigma0 (x)
(logxor (r x 28)
(r x 34)
(r x 39)))
; static u64 Sigma1 (u64 x)
; { return R (x, 14) ^ R (x, 18) ^ R (x, 41); }
(defun sigma1 (x)
(logxor (r x 14)
(r x 18)
(r x 41)))
; static u64 sigma0 (u64 x)
; { return R (x, 1) ^ R (x, 8) ^ (x >> 7); }
(defun sigma0* (x)
(logxor (r x 1)
(r x 8)
(ash x -7)))
; static u64 sigma1 (u64 x)
; { return R (x, 19) ^ R (x, 61) ^ (x >> 6); }
(defun sigma1* (x)
(logxor (r x 19)
(r x 61)
(ash x -6)))
; static const u64 K[80] = {0x428a2f98d728ae22ULL, 0x7137449123ef65cdULL,
; 0xb5c0fbcfec4d3b2fULL, 0xe9b5dba58189dbbcULL,
; 0x3956c25bf348b538ULL, 0x59f111f1b605d019ULL,
; 0x923f82a4af194f9bULL, 0xab1c5ed5da6d8118ULL,
; 0xd807aa98a3030242ULL, 0x12835b0145706fbeULL,
; 0x243185be4ee4b28cULL, 0x550c7dc3d5ffb4e2ULL,
; 0x72be5d74f27b896fULL, 0x80deb1fe3b1696b1ULL,
; 0x9bdc06a725c71235ULL, 0xc19bf174cf692694ULL,
; 0xe49b69c19ef14ad2ULL, 0xefbe4786384f25e3ULL,
; 0x0fc19dc68b8cd5b5ULL, 0x240ca1cc77ac9c65ULL,
; 0x2de92c6f592b0275ULL, 0x4a7484aa6ea6e483ULL,
; 0x5cb0a9dcbd41fbd4ULL, 0x76f988da831153b5ULL,
; 0x983e5152ee66dfabULL, 0xa831c66d2db43210ULL,
; 0xb00327c898fb213fULL, 0xbf597fc7beef0ee4ULL,
; 0xc6e00bf33da88fc2ULL, 0xd5a79147930aa725ULL,
; 0x06ca6351e003826fULL, 0x142929670a0e6e70ULL,
; 0x27b70a8546d22ffcULL, 0x2e1b21385c26c926ULL,
; 0x4d2c6dfc5ac42aedULL, 0x53380d139d95b3dfULL,
; 0x650a73548baf63deULL, 0x766a0abb3c77b2a8ULL,
; 0x81c2c92e47edaee6ULL, 0x92722c851482353bULL,
; 0xa2bfe8a14cf10364ULL, 0xa81a664bbc423001ULL,
; 0xc24b8b70d0f89791ULL, 0xc76c51a30654be30ULL,
; 0xd192e819d6ef5218ULL, 0xd69906245565a910ULL,
; 0xf40e35855771202aULL, 0x106aa07032bbd1b8ULL,
; 0x19a4c116b8d2d0c8ULL, 0x1e376c085141ab53ULL,
; 0x2748774cdf8eeb99ULL, 0x34b0bcb5e19b48a8ULL,
; 0x391c0cb3c5c95a63ULL, 0x4ed8aa4ae3418acbULL,
; 0x5b9cca4f7763e373ULL, 0x682e6ff3d6b2b8a3ULL,
; 0x748f82ee5defb2fcULL, 0x78a5636f43172f60ULL,
; 0x84c87814a1f0ab72ULL, 0x8cc702081a6439ecULL,
; 0x90befffa23631e28ULL, 0xa4506cebde82bde9ULL,
; 0xbef9a3f7b2c67915ULL, 0xc67178f2e372532bULL,
; 0xca273eceea26619cULL, 0xd186b8c721c0c207ULL,
; 0xeada7dd6cde0eb1eULL, 0xf57d4f7fee6ed178ULL,
; 0x06f067aa72176fbaULL, 0x0a637dc5a2c898a6ULL,
; 0x113f9804bef90daeULL, 0x1b710b35131c471bULL,
; 0x28db77f523047d84ULL, 0x32caab7b40c72493ULL,
; 0x3c9ebe0a15c9bebcULL, 0x431d67c49c100d4cULL,
; 0x4cc5d4becb3e42b6ULL, 0x597f299cfc657e2aULL,
; 0x5fcb6fab3ad6faecULL, 0x6c44198c4a475817ULL};
(defparameter *k* #(#x428a2f98d728ae22 #x7137449123ef65cd #xb5c0fbcfec4d3b2f
#xe9b5dba58189dbbc #x3956c25bf348b538 #x59f111f1b605d019
#x923f82a4af194f9b #xab1c5ed5da6d8118 #xd807aa98a3030242
#x12835b0145706fbe #x243185be4ee4b28c #x550c7dc3d5ffb4e2
#x72be5d74f27b896f #x80deb1fe3b1696b1 #x9bdc06a725c71235