diff options
Diffstat (limited to 'stdlib/source/test/lux/math.lux')
| -rw-r--r-- | stdlib/source/test/lux/math.lux | 184 |
1 files changed, 76 insertions, 108 deletions
diff --git a/stdlib/source/test/lux/math.lux b/stdlib/source/test/lux/math.lux index 8b95691f6..79143b815 100644 --- a/stdlib/source/test/lux/math.lux +++ b/stdlib/source/test/lux/math.lux @@ -1,20 +1,27 @@ (.module: [lux #* + data/text/format + ["_" test (#+ Test)] + ["r" math/random] [control [monad (#+ Monad do)]] [data - ["." bit ("#;." equivalence)] + ["." bit ("#@." equivalence)] [number - ["." frac ("#;." number)]]] - ["&" math - infix - ["r" random]]] - lux/test) + ["." frac ("#@." number)]]]] + {1 + ["." /]} + ["." / #_ + ["#." infix] + ["#." modular] + ["#." logic #_ + ["#/." continuous] + ["#/." fuzzy]]]) (def: (within? margin-of-error standard value) (-> Frac Frac Frac Bit) (f/< margin-of-error - (frac;abs (f/- standard value)))) + (frac@abs (f/- standard value)))) (def: margin Frac +0.0000001) @@ -23,104 +30,65 @@ (let [normal (|> angle forward backward)] (|> normal forward backward (within? margin normal)))) -(context: "Trigonometry" - (<| (times 100) - (do @ - [angle (|> r.frac (:: @ map (f/* &.tau)))] - ($_ seq - (test "Sine and arc-sine are inverse functions." - (trigonometric-symmetry &.sin &.asin angle)) - - (test "Cosine and arc-cosine are inverse functions." - (trigonometric-symmetry &.cos &.acos angle)) - - (test "Tangent and arc-tangent are inverse functions." - (trigonometric-symmetry &.tan &.atan angle)) - )))) - -(context: "Rounding" - (<| (times 100) - (do @ - [sample (|> r.frac (:: @ map (f/* +1000.0)))] - ($_ seq - (test "The ceiling will be an integer value, and will be >= the original." - (let [ceil'd (&.ceil sample)] - (and (|> ceil'd frac-to-int int-to-frac (f/= ceil'd)) - (f/>= sample ceil'd) - (f/<= +1.0 (f/- sample ceil'd))))) - - (test "The floor will be an integer value, and will be <= the original." - (let [floor'd (&.floor sample)] - (and (|> floor'd frac-to-int int-to-frac (f/= floor'd)) - (f/<= sample floor'd) - (f/<= +1.0 (f/- floor'd sample))))) - - (test "The round will be an integer value, and will be < or > or = the original." - (let [round'd (&.round sample)] - (and (|> round'd frac-to-int int-to-frac (f/= round'd)) - (f/<= +1.0 (frac;abs (f/- sample round'd)))))) - )))) - -(context: "Exponentials and logarithms" - (<| (times 100) - (do @ - [sample (|> r.frac (:: @ map (f/* +10.0)))] - (test "Logarithm is the inverse of exponential." - (|> sample &.exp &.log (within? +1.0e-15 sample)))))) - -(context: "Greatest-Common-Divisor and Least-Common-Multiple" - (<| (times 100) - (do @ - [#let [gen-nat (|> r.nat (:: @ map (|>> (n/% 1000) (n/max 1))))] - x gen-nat - y gen-nat] - ($_ seq - (test "GCD" - (let [gcd (&.n/gcd x y)] - (and (n/= 0 (n/% gcd x)) - (n/= 0 (n/% gcd y)) - (n/>= 1 gcd)))) - - (test "LCM" - (let [lcm (&.n/lcm x y)] - (and (n/= 0 (n/% x lcm)) - (n/= 0 (n/% y lcm)) - (n/<= (n/* x y) lcm)))) - )))) - -(context: "Infix syntax" - (<| (times 100) - (do @ - [x r.nat - y r.nat - z r.nat - theta r.frac - #let [top (|> x (n/max y) (n/max z)) - bottom (|> x (n/min y) (n/min z))]] - ($_ seq - (test "Constant values don't change." - (n/= x - (infix x))) - - (test "Can call binary functions." - (n/= (&.n/gcd y x) - (infix [x &.n/gcd y]))) - - (test "Can call unary functions." - (f/= (&.sin theta) - (infix [&.sin theta]))) - - (test "Can use regular syntax in the middle of infix code." - (n/= (&.n/gcd 450 (n/* 3 9)) - (infix [(n/* 3 9) &.n/gcd 450]))) - - (test "Can use non-numerical functions/macros as operators." - (bit;= (and (n/< y x) (n/< z y)) - (infix [[x n/< y] and [y n/< z]]))) - - (test "Can combine bit operations in special ways via special keywords." - (and (bit;= (and (n/< y x) (n/< z y)) - (infix [#and x n/< y n/< z])) - (bit;= (and (n/< y x) (n/> z y)) - (infix [#and x n/< y n/> z])))) - )))) +(def: #export test + Test + ($_ _.and + (<| (_.context "Trigonometry") + (do r.monad + [angle (|> r.frac (:: @ map (f/* /.tau)))] + ($_ _.and + (_.test "Sine and arc-sine are inverse functions." + (trigonometric-symmetry /.sin /.asin angle)) + (_.test "Cosine and arc-cosine are inverse functions." + (trigonometric-symmetry /.cos /.acos angle)) + (_.test "Tangent and arc-tangent are inverse functions." + (trigonometric-symmetry /.tan /.atan angle)) + ))) + (<| (_.context "Rounding") + (do r.monad + [sample (|> r.frac (:: @ map (f/* +1000.0)))] + ($_ _.and + (_.test "The ceiling will be an integer value, and will be >= the original." + (let [ceil'd (/.ceil sample)] + (and (|> ceil'd frac-to-int int-to-frac (f/= ceil'd)) + (f/>= sample ceil'd) + (f/<= +1.0 (f/- sample ceil'd))))) + (_.test "The floor will be an integer value, and will be <= the original." + (let [floor'd (/.floor sample)] + (and (|> floor'd frac-to-int int-to-frac (f/= floor'd)) + (f/<= sample floor'd) + (f/<= +1.0 (f/- floor'd sample))))) + (_.test "The round will be an integer value, and will be < or > or = the original." + (let [round'd (/.round sample)] + (and (|> round'd frac-to-int int-to-frac (f/= round'd)) + (f/<= +1.0 (frac@abs (f/- sample round'd)))))) + ))) + (<| (_.context "Exponentials and logarithms") + (do r.monad + [sample (|> r.frac (:: @ map (f/* +10.0)))] + (_.test "Logarithm is the inverse of exponential." + (|> sample /.exp /.log (within? +1.0e-15 sample))))) + (<| (_.context "Greatest-Common-Divisor and Least-Common-Multiple") + (do r.monad + [#let [gen-nat (|> r.nat (:: @ map (|>> (n/% 1000) (n/max 1))))] + x gen-nat + y gen-nat] + ($_ _.and + (_.test "GCD" + (let [gcd (/.n/gcd x y)] + (and (n/= 0 (n/% gcd x)) + (n/= 0 (n/% gcd y)) + (n/>= 1 gcd)))) + + (_.test "LCM" + (let [lcm (/.n/lcm x y)] + (and (n/= 0 (n/% x lcm)) + (n/= 0 (n/% y lcm)) + (n/<= (n/* x y) lcm)))) + ))) + + /infix.test + /modular.test + /logic/continuous.test + /logic/fuzzy.test + )) |