|
| 1 | + |
| 2 | + |
| 3 | +Then |
| 4 | + |
| 5 | + _____________________________________________ |
| 6 | + |
| 7 | + then(f,g):: g(f(x)) |
| 8 | + _____________________________________________ |
| 9 | + Arrowlet<A,B> -> Arrowlet<B,C> -> Arrowlet<A,C>; |
| 10 | + |
| 11 | +First |
| 12 | + |
| 13 | + _____________________________________________ |
| 14 | + |
| 15 | + / - f - \ |
| 16 | + first(f)::(l,r)< >(f(l),r)) |
| 17 | + \ - - - / |
| 18 | + _____________________________________________ |
| 19 | + Arrowlet<A,B> -> Arrowlet<Tuple2<A,C>,Tuple2<B,C>> |
| 20 | + |
| 21 | +Second |
| 22 | + |
| 23 | + _____________________________________________ |
| 24 | + |
| 25 | + / - - - \ |
| 26 | + second(g):: (l,r)< >(l,g(r)) |
| 27 | + \ - g - / |
| 28 | + |
| 29 | + _____________________________________________ |
| 30 | + Arrowlet<A,B> -> Arrowlet<Tuple2<C,A>,Tuple2<C,B>> |
| 31 | + |
| 32 | +Pair |
| 33 | + |
| 34 | + _____________________________________________ |
| 35 | + |
| 36 | + / - f - \ |
| 37 | + pair(f,g):: (l,r)< >(f(l),g(r))) |
| 38 | + \ - g - / |
| 39 | + |
| 40 | + _____________________________________________ |
| 41 | + f -> g -> ((l,r) -> (f(l),g(r)) |
| 42 | + Arrowlet<A,B> -> Arrowlet<C,D> -> Arrowlet<Tuple2<A,C>, Tuple2<B,D>> |
| 43 | + |
| 44 | +Split |
| 45 | + _____________________________________________ |
| 46 | + |
| 47 | + / - f - \ |
| 48 | + split(f,g):: (x,x)< >(f(x),g(x))) |
| 49 | + \ - g - / |
| 50 | + |
| 51 | + _____________________________________________ |
| 52 | + Arrowlet<A, B> -> Arrowlet<A, C> -> Arrowlet<A, Tuple2<B,C>> |
| 53 | + |
| 54 | +Join |
| 55 | + |
| 56 | + _____________________________________________ |
| 57 | + |
| 58 | + join(f,g):: x - f - g - \ |
| 59 | + \ - - - - > (f(x),g(f(x))) |
| 60 | + |
| 61 | + _____________________________________________ |
| 62 | + Arrowlet<A,B> -> Arrowlet<B,C> -> Arrowlet<A,Tuple2<B,C>> |
| 63 | + |
| 64 | +Tie |
| 65 | + |
| 66 | + _____________________________________________ |
| 67 | + |
| 68 | + / - - - \ -\ |
| 69 | + tie(f,g):: x < g > g(x,f(x)) |
| 70 | + \ - f - / -/ |
| 71 | + |
| 72 | + _____________________________________________ |
| 73 | + Arrowlet<A,B> -> Arrowlet<Tuple2<A,B>,C> -> Arrowlet<A,C> |
| 74 | + |
| 75 | +Repeat / Animate |
| 76 | + |
| 77 | + _____________________________________________ |
| 78 | + |
| 79 | + <-<- [left] |
| 80 | + \ / |
| 81 | + repeat(f):: x -> f |
| 82 | + \_ [right] f(x) |
| 83 | + |
| 84 | + _____________________________________________ |
| 85 | + Arrowlet<I,tink.Either<I,O> -> Arrowlet<I,O> |
| 86 | + |
| 87 | +Either |
| 88 | + |
| 89 | + _____________________________________________ |
| 90 | + |
| 91 | + |
| 92 | + / - f - \ |
| 93 | + split(f,g):: x < > f(x) || g(x) |
| 94 | + \ - g - / |
| 95 | + |
| 96 | + _____________________________________________ |
| 97 | + Arrowlet<A,B> -> Arrowlet<A,B> -> Arrowlet<A,B> |
| 98 | + |
| 99 | + |
| 100 | +Done |
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