factor/core/math/intervals/intervals-tests.factor

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5.1 KiB
Factor
Executable File

USING: math.intervals kernel sequences words math arrays
prettyprint tools.test random vocabs combinators ;
IN: math.intervals.tests
[ T{ interval f { 1 t } { 2 t } } ] [ 1 2 [a,b] ] unit-test
[ T{ interval f { 1 t } { 2 f } } ] [ 1 2 [a,b) ] unit-test
[ T{ interval f { 1 f } { 2 f } } ] [ 1 2 (a,b) ] unit-test
[ T{ interval f { 1 f } { 2 t } } ] [ 1 2 (a,b] ] unit-test
[ T{ interval f { 1 t } { 1 t } } ] [ 1 [a,a] ] unit-test
[ t ] [ { 3 t } { 3 f } endpoint< ] unit-test
[ t ] [ { 2 f } { 3 f } endpoint< ] unit-test
[ f ] [ { 3 f } { 3 t } endpoint< ] unit-test
[ t ] [ { 4 f } { 3 t } endpoint> ] unit-test
[ f ] [ { 3 f } { 3 t } endpoint> ] unit-test
[ t ] [
1 2 [a,b] -3 3 [a,b] interval+ -2 5 [a,b] =
] unit-test
[ t ] [
1 2 [a,b] -3 3 (a,b) interval+ -2 5 (a,b) =
] unit-test
[ t ] [
1 2 [a,b] 0 1 [a,b] interval- 0 2 [a,b] =
] unit-test
[ t ] [
1 2 [a,b] 0 4 [a,b] interval* 0 8 [a,b] =
] unit-test
[ t ] [
1 2 [a,b] -4 4 [a,b] interval* -8 8 [a,b] =
] unit-test
[ t ] [
1 2 [a,b] -0.5 0.5 [a,b] interval* -1 1 [a,b] =
] unit-test
[ t ] [
1 2 [a,b] -0.5 0.5 (a,b] interval* -1 1 (a,b] =
] unit-test
[ t ] [
-1 1 [a,b] -1 1 (a,b] interval* -1 1 [a,b] =
] unit-test
[ t ] [
0 1 (a,b) 0 1 [a,b] interval-union 0 1 [a,b] =
] unit-test
[ t ] [
0 1 (a,b) 1 2 [a,b] interval-union 0 2 (a,b] =
] unit-test
[ f ] [ 0 1 (a,b) f interval-union ] unit-test
[ t ] [
0 1 (a,b) 0 1 [a,b] interval-intersect 0 1 (a,b) =
] unit-test
[ f ] [ 0 5 [a,b] -1 [a,a] interval-intersect ] unit-test
[ f ] [ 0 5 (a,b] 0 [a,a] interval-intersect ] unit-test
[ t ] [
0 1 (a,b) 0 1 [a,b] interval-subset?
] unit-test
[ f ] [
0 0 1 (a,b) interval-contains?
] unit-test
[ t ] [
0.5 0 1 (a,b) interval-contains?
] unit-test
[ f ] [
1 0 1 (a,b) interval-contains?
] unit-test
[ f ] [ -1 1 (a,b) -1 1 (a,b) interval/ ] unit-test
[ f ] [ -1 1 (a,b) 0 1 (a,b) interval/ ] unit-test
"math.ratios.private" vocab [
[ t ] [
-1 1 (a,b) 0.5 1 (a,b) interval/ -2 2 (a,b) =
] unit-test
] when
[ t ] [ 1 [a,a] interval-singleton? ] unit-test
[ f ] [ 1 1 [a,b) interval-singleton? ] unit-test
[ f ] [ 1 3 [a,b) interval-singleton? ] unit-test
[ f ] [ 1 1 (a,b) interval-singleton? ] unit-test
[ 2 ] [ 1 3 [a,b) interval-length ] unit-test
[ 0 ] [ f interval-length ] unit-test
[ t ] [ 0 5 [a,b] 5 [a,a] interval<= ] unit-test
[ incomparable ] [ 0 5 [a,b] 5 [a,a] interval< ] unit-test
[ t ] [ 0 5 [a,b) 5 [a,a] interval< ] unit-test
[ f ] [ 0 5 [a,b] -1 [a,a] interval< ] unit-test
[ incomparable ] [ 0 5 [a,b] 1 [a,a] interval< ] unit-test
[ t ] [ -1 1 (a,b) -1 [a,a] interval> ] unit-test
[ t ] [ -1 1 (a,b) -1 [a,a] interval>= ] unit-test
[ f ] [ -1 1 (a,b) -1 [a,a] interval< ] unit-test
[ f ] [ -1 1 (a,b) -1 [a,a] interval<= ] unit-test
[ t ] [ -1 1 (a,b] 1 [a,a] interval<= ] unit-test
[ t ] [ -1 1 (a,b] 1 2 [a,b] interval<= ] unit-test
[ incomparable ] [ -1 1 (a,b] 1 2 [a,b] interval>= ] unit-test
[ incomparable ] [ -1 1 (a,b] 1 2 [a,b] interval> ] unit-test
[ t ] [ -1 1 (a,b] 1 2 (a,b] interval<= ] unit-test
[ f ] [ 0 10 [a,b] 0 [a,a] interval< ] unit-test
[ f ] [ 0 10 [a,b] 10 [a,a] interval> ] unit-test
[ incomparable ] [ 0 [a,a] 0 10 [a,b] interval< ] unit-test
[ incomparable ] [ 10 [a,a] 0 10 [a,b] interval> ] unit-test
[ t ] [ 0 [a,a] 0 10 [a,b] interval<= ] unit-test
[ incomparable ] [ 0 [a,a] 0 10 [a,b] interval>= ] unit-test
[ t ] [ 0 10 [a,b] 0 [a,a] interval>= ] unit-test
[ t ] [
418
418 423 [a,b)
79 893 (a,b]
interval-max
interval-contains?
] unit-test
[ f ] [ 1 100 [a,b] -1 1 [a,b] interval/i ] unit-test
! Interval random tester
: random-element ( interval -- n )
dup interval-to first over interval-from first tuck - random +
2dup swap interval-contains? [
nip
] [
drop random-element
] if ;
: random-interval ( -- interval )
1000 random dup 2 1000 random + +
1 random zero? [ [ neg ] bi@ swap ] when
4 random {
{ 0 [ [a,b] ] }
{ 1 [ [a,b) ] }
{ 2 [ (a,b) ] }
{ 3 [ (a,b] ] }
} case ;
: random-op
{
{ + interval+ }
{ - interval- }
{ * interval* }
{ /i interval/i }
{ shift interval-shift }
{ min interval-min }
{ max interval-max }
}
"math.ratios.private" vocab [
{ / interval/ } suffix
] when
random ;
: interval-test
random-interval random-interval random-op ! 3dup . . .
0 pick interval-contains? over first { / /i } member? and [
3drop t
] [
[ >r [ random-element ] bi@ ! 2dup . .
r> first execute ] 3keep
second execute interval-contains?
] if ;
[ t ] [ 40000 [ drop interval-test ] all? ] unit-test
: random-comparison
{
{ < interval< }
{ <= interval<= }
{ > interval> }
{ >= interval>= }
} random ;
: comparison-test
random-interval random-interval random-comparison
[ >r [ random-element ] bi@ r> first execute ] 3keep
second execute dup incomparable eq? [
2drop t
] [
=
] if ;
[ t ] [ 40000 [ drop comparison-test ] all? ] unit-test