cryptol/tests/issues/issue226.icry.stdout

Loading module Cryptol
Loading module Cryptol
Loading module issue226r2
Loading module issue226
Type Synonyms
=============
    type Bool = Bit
    type Char = [8]
    type String n = [n][8]
    type Word n = [n]
    type lg2 n = width (max 1 n - 1)

Symbols
=======
    (!) : {a, b, c} (fin a, fin c) => [a]b -> [c] -> b
    (!!) : {a, b, c, d} (fin a, fin d) => [a]b -> [c][d] -> [c]b
    (!=) : {a} (Cmp a) => a -> a -> Bit
    (!==) : {a, b} (Cmp b) => (a -> b) -> (a -> b) -> a -> Bit
    (#) : {front, back,
           a} (fin front) => [front]a -> [back]a -> [front + back]a
    (%) : {a} (Arith a) => a -> a -> a
    (%$) : {a} (Arith a) => a -> a -> a
    (&&) : {a} (Logic a) => a -> a -> a
    (*) : {a} (Arith a) => a -> a -> a
    (+) : {a} (Arith a) => a -> a -> a
    (-) : {a} (Arith a) => a -> a -> a
    (/) : {a} (Arith a) => a -> a -> a
    (/$) : {a} (Arith a) => a -> a -> a
    (/\) : Bit -> Bit -> Bit
    (<) : {a} (Cmp a) => a -> a -> Bit
    (<$) : {a} (SignedCmp a) => a -> a -> Bit
    (<<) : {a, b, c} (fin b, Zero c) => [a]c -> [b] -> [a]c
    (<<<) : {a, b, c} (fin a, fin b) => [a]c -> [b] -> [a]c
    (<=) : {a} (Cmp a) => a -> a -> Bit
    (<=$) : {a} (SignedCmp a) => a -> a -> Bit
    (==) : {a} (Cmp a) => a -> a -> Bit
    (===) : {a, b} (Cmp b) => (a -> b) -> (a -> b) -> a -> Bit
    (==>) : Bit -> Bit -> Bit
    (>) : {a} (Cmp a) => a -> a -> Bit
    (>$) : {a} (SignedCmp a) => a -> a -> Bit
    (>=) : {a} (Cmp a) => a -> a -> Bit
    (>=$) : {a} (SignedCmp a) => a -> a -> Bit
    (>>) : {a, b, c} (fin b, Zero c) => [a]c -> [b] -> [a]c
    (>>$) : {n, k} (fin n, n >= 1, fin k) => [n] -> [k] -> [n]
    (>>>) : {a, b, c} (fin a, fin b) => [a]c -> [b] -> [a]c
    (@) : {a, b, c} (fin c) => [a]b -> [c] -> b
    (@@) : {a, b, c, d} (fin d) => [a]b -> [c][d] -> [c]b
    False : Bit
    True : Bit
    (\/) : Bit -> Bit -> Bit
    (^) : {a} (Logic a) => a -> a -> a
    (^^) : {a} (Arith a) => a -> a -> a
    carry : {n} (fin n) => [n] -> [n] -> Bit
    complement : {a} (Logic a) => a -> a
    demote : {val, bits} (fin val, fin bits,
                          bits >= width val) => [bits]
    drop : {front, back, elem} (fin front) => [front +
                                               back]elem -> [back]elem
    error : {at, len} (fin len) => [len][8] -> at
    foo : {a} a -> a
    fromThen : {first, next, bits, len} (fin first, fin next, fin bits,
                                         bits >= width first, bits >= width next,
                                         lengthFromThen first next bits == len) => [len][bits]
    fromThenTo : {first, next, last, bits, len} (fin first, fin next,
                                                 fin last, fin bits, bits >= width first,
                                                 bits >= width next, bits >= width last,
                                                 lengthFromThenTo first next
                                                                  last == len) => [len][bits]
    fromTo : {first, last, bits} (fin last, fin bits, last >= first,
                                  bits >= width last) => [1 + (last - first)][bits]
    groupBy : {each, parts, elem} (fin each) => [each *
                                                 parts]elem -> [parts][each]elem
    infFrom : {bits} (fin bits) => [bits] -> [inf][bits]
    infFromThen : {bits} (fin bits) => [bits] -> [bits] -> [inf][bits]
    join : {parts, each, a} (fin each) => [parts][each]a -> [parts *
                                                             each]a
    lg2 : {a} (Arith a) => a -> a
    max : {a} (Cmp a) => a -> a -> a
    min : {a} (Cmp a) => a -> a -> a
    negate : {a} (Arith a) => a -> a
    pdiv : {a, b} (fin a, fin b) => [a] -> [b] -> [a]
    pmod : {a, b} (fin a, fin b) => [a] -> [1 + b] -> [b]
    pmult : {a, b} (fin a, fin b) => [1 + a] -> [1 + b] -> [1 +
                                                            (a + b)]
    random : {a} [256] -> a
    reverse : {a, b} (fin a) => [a]b -> [a]b
    sborrow : {n} (fin n, n >= 1) => [n] -> [n] -> Bit
    scarry : {n} (fin n, n >= 1) => [n] -> [n] -> Bit
    sext : {n, m} (fin m, m >= n, n >= 1) => [n] -> [m]
    split : {parts, each, a} (fin each) => [parts *
                                            each]a -> [parts][each]a
    splitAt : {front, back, a} (fin front) => [front +
                                               back]a -> ([front]a, [back]a)
    tail : {a, b} [1 + a]b -> [a]b
    take : {front, back, elem} (fin front) => [front +
                                               back]elem -> [front]elem
    trace : {n, a, b} (fin n) => [n][8] -> a -> b -> b
    traceVal : {n, a} (fin n) => [n][8] -> a -> a
    transpose : {a, b, c} [a][b]c -> [b][a]c
    undefined : {a} a
    update : {a, b, c} (fin c) => [a]b -> [c] -> b -> [a]b
    updateEnd : {a, b, c} (fin a, fin c) => [a]b -> [c] -> b -> [a]b
    updates : {a, b, c, d} (fin c,
                            fin d) => [a]b -> [d][c] -> [d]b -> [a]b
    updatesEnd : {a, b, c, d} (fin a, fin c,
                               fin d) => [a]b -> [d][c] -> [d]b -> [a]b
    width : {bits, len, elem} (fin len, fin bits,
                               bits >= width len) => [len]elem -> [bits]
    zero : {a} (Zero a) => a
    zext : {n, m} (fin m, m >= n) => [n] -> [m]
    (||) : {a} (Logic a) => a -> a -> a