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|
(.require
[library
[lux (.except)
[abstract
[monad (.only do)]
[\\specification
["$[0]" equivalence]
["$[0]" hash]
["$[0]" order]
["$[0]" enum]
["$[0]" interval]
["$[0]" monoid]
["$[0]" codec]]]
[data
["[0]" bit (.use "[1]#[0]" equivalence)]]
[math
["[0]" random]
["[0]" arithmetic
["[1]S" \\specification]]]
[test
["_" property (.only Test)]]]]
[\\library
["[0]" / (.only)
[// (.only hex)
["n" nat]
["f" frac]
["[0]" i64 (.use "[1]#[0]" hash)]]]])
(def signature
Test
(`` (all _.and
(_.for [/.equivalence /.=]
($equivalence.spec /.equivalence random.rev))
(_.for [/.hash]
($hash.spec /.hash random.rev))
(_.for [/.order /.<]
($order.spec /.order random.rev))
(_.for [/.enum]
($enum.spec /.enum random.rev))
(_.for [/.interval]
($interval.spec /.interval random.rev))
(,, (with_template [<composite> <monoid>]
[(_.for [<monoid> <composite>]
($monoid.spec /.equivalence <monoid> random.rev))]
[/.+ /.addition]
[/.min /.minimum]
[/.max /.maximum]
))
(,, (with_template [<codec>]
[(_.for [<codec>]
($codec.spec /.equivalence <codec> random.rev))]
[/.binary] [/.octal] [/.decimal] [/.hex]
))
(_.for [/.arithmetic]
(arithmeticS.spec /.equivalence /.arithmetic random.rev))
)))
(def .public test
Test
(<| (_.covering /._)
(_.for [.Rev])
(`` (all _.and
(,, (with_template [<half> <whole>]
[(_.coverage [<half>]
(/.= <whole>
(/.+ <half> <half>)))]
[/./1 (-- /./1)]
[/./2 .0]
[/./4 /./2]
[/./8 /./4]
[/./16 /./8]
[/./32 /./16]
[/./64 /./32]
[/./128 /./64]
[/./256 /./128]
[/./512 /./256]
[/./1024 /./512]
[/./2048 /./1024]
[/./4096 /./2048]
))
(do random.monad
[sample random.rev]
(_.coverage [/.-]
(and (/.= .0 (/.- sample sample))
(/.= sample (/.- .0 sample)))))
(do [! random.monad]
[left random.rev
right random.rev]
(_.coverage [/.*]
(and (/.< left (/.* left right))
(/.< right (/.* left right)))))
(do [! random.monad]
[.let [dividend (at ! each (i64.and (hex "FFFF"))
random.rev)
divisor (at ! each (|>> (i64.and (hex "F"))
(i64.or (hex "1"))
(i64.right_rotated 8)
.rev)
random.nat)]
dividend (random.only (/.> .0) dividend)
divisor/0 divisor
divisor/1 (random.only (|>> (/.= divisor/0) not)
divisor)
scale (at ! each (|>> (n.% 10) ++)
random.nat)]
(all _.and
(_.coverage [/./]
(bit#= (/.< divisor/0 divisor/1)
(/.> (/./ divisor/0 dividend) (/./ divisor/1 dividend))))
(_.coverage [/.%]
(at i64.equivalence =
(.i64 (n.% (.nat divisor/0) (.nat dividend)))
(.i64 (/.% divisor/0 dividend))))
(_.coverage [/.up /.down]
(let [symmetry!
(|> dividend
(/.up scale)
(/.down scale)
(/.= dividend))
discrete_division!
(/.= (/.% (.rev scale) dividend)
(/.- (|> dividend
(/.down scale)
(/.up scale))
dividend))]
(and symmetry!
discrete_division!)))
(_.coverage [/.ratio]
(|> dividend
(/.up scale)
(/.ratio dividend)
(n.= scale)))
))
(do [! random.monad]
[dividend random.rev
divisor (random.only (|>> (/.= .0) not)
random.rev)]
(_.coverage [/./%]
(let [[quotient remainder] (/./% divisor dividend)]
(and (/.= (/./ divisor dividend) quotient)
(/.= (/.% divisor dividend) remainder)))))
(do random.monad
[left random.rev
right random.rev]
(all _.and
(_.coverage [/.>]
(bit#= (/.> left right)
(/.< right left)))
(_.coverage [/.<= /.>=]
(bit#= (/.<= left right)
(/.>= right left)))
))
(do random.monad
[sample random.nat]
(_.coverage [/.reciprocal]
(/.= (/.reciprocal sample)
(|> sample /.reciprocal .nat /.reciprocal .nat /.reciprocal))))
(do [! random.monad]
[expected (at ! each (|>> f.abs (f.% +1.0))
random.safe_frac)
sample random.rev]
(_.coverage [/.frac]
(and (|> expected f.rev /.frac (f.= expected))
(f.number? (/.frac sample)))))
..signature
))))
|
