diff --git a/core/math/math.odin b/core/math/math.odin index 027a9c8cd..ce58a0111 100644 --- a/core/math/math.odin +++ b/core/math/math.odin @@ -1088,7 +1088,7 @@ is_nan :: proc{ // If sign < 0, is_inf reports whether f is negative infinity. // If sign == 0, is_inf reports whether f is either infinity. is_inf_f16 :: proc "contextless" (x: f16, sign: int = 0) -> bool { - class := classify(abs(x)) + class := classify(x) switch { case sign > 0: return class == .Inf @@ -1105,7 +1105,7 @@ is_inf_f16be :: proc "contextless" (x: f16be, sign: int = 0) -> bool { } is_inf_f32 :: proc "contextless" (x: f32, sign: int = 0) -> bool { - class := classify(abs(x)) + class := classify(x) switch { case sign > 0: return class == .Inf @@ -1122,7 +1122,7 @@ is_inf_f32be :: proc "contextless" (x: f32be, sign: int = 0) -> bool { } is_inf_f64 :: proc "contextless" (x: f64, sign: int = 0) -> bool { - class := classify(abs(x)) + class := classify(x) switch { case sign > 0: return class == .Inf @@ -1344,20 +1344,20 @@ atan2_f64 :: proc "contextless" (y, x: f64) -> f64 { } return copy_sign(PI, y) case x == 0: - return copy_sign(PI*0.5, y) + return copy_sign(PI/2, y) case is_inf(x, 0): if is_inf(x, 1) { if is_inf(y, 0) { - return copy_sign(PI*0.25, y) + return copy_sign(PI/4, y) } return copy_sign(0, y) } if is_inf(y, 0) { - return copy_sign(PI*0.75, y) + return copy_sign(3*PI/4, y) } return copy_sign(PI, y) case is_inf(y, 0): - return copy_sign(PI*0.5, y) + return copy_sign(PI/2, y) } q := atan(y / x) @@ -1599,16 +1599,46 @@ acos :: proc{ } sinh :: proc "contextless" (x: $T) -> T where intrinsics.type_is_float(T) { - return (exp(x) - exp(-x))*0.5 + return copy_sign(((exp(x) - exp(-x))*0.5), x) } cosh :: proc "contextless" (x: $T) -> T where intrinsics.type_is_float(T) { - return (exp(x) + exp(-x))*0.5 + return ((exp(x) + exp(-x))*0.5) } -tanh :: proc "contextless" (x: $T) -> T where intrinsics.type_is_float(T) { - t := exp(2*x) - return (t - 1) / (t + 1) +tanh :: proc "contextless" (y: $T) -> T where intrinsics.type_is_float(T) { + P0 :: -9.64399179425052238628e-1 + P1 :: -9.92877231001918586564e1 + P2 :: -1.61468768441708447952e3 + Q0 :: +1.12811678491632931402e2 + Q1 :: +2.23548839060100448583e3 + Q2 :: +4.84406305325125486048e3 + + MAXLOG :: 8.8029691931113054295988e+01 // log(2**127) + + + x := f64(y) + z := abs(x) + switch { + case z > 0.5*MAXLOG: + if x < 0 { + return -1 + } + return 1 + case z >= 0.625: + s := exp(2 * z) + z = 1 - 2/(s+1) + if x < 0 { + z = -z + } + case: + if x == 0 { + return T(x) + } + s := x * x + z = x + x*s*((P0*s+P1)*s+P2)/(((s+Q0)*s+Q1)*s+Q2) + } + return T(z) } asinh :: proc "contextless" (y: $T) -> T where intrinsics.type_is_float(T) { diff --git a/tests/common/common.odin b/tests/common/common.odin index 07b6afef9..021fb21c5 100644 --- a/tests/common/common.odin +++ b/tests/common/common.odin @@ -12,15 +12,21 @@ TEST_fail := 0 when ODIN_TEST { expect :: testing.expect log :: testing.log + errorf :: testing.errorf } else { expect :: proc(t: ^testing.T, condition: bool, message: string, loc := #caller_location) { TEST_count += 1 if !condition { TEST_fail += 1 - fmt.printf("[%v] FAIL %v\n", loc, message) + fmt.printf("[%v:%s] FAIL %v\n", loc, loc.procedure, message) return } } + errorf :: proc(t: ^testing.T, message: string, args: ..any, loc := #caller_location) { + TEST_fail += 1 + fmt.printf("[%v:%s] Error %v\n", loc, loc.procedure, fmt.tprintf(message, ..args)) + return + } log :: proc(t: ^testing.T, v: any, loc := #caller_location) { fmt.printf("[%v] ", loc) fmt.printf("log: %v\n", v) diff --git a/tests/core/math/test_core_math.odin b/tests/core/math/test_core_math.odin index 57da27002..9131c163d 100644 --- a/tests/core/math/test_core_math.odin +++ b/tests/core/math/test_core_math.odin @@ -9,7 +9,7 @@ import "core:testing" import tc "tests:common" main :: proc() { - t := testing.T{} + t := testing.T{} test_classify_f16(&t) test_classify_f32(&t) @@ -19,6 +19,25 @@ main :: proc() { test_trunc_f32(&t) test_trunc_f64(&t) + test_nan(&t) + test_acos(&t) + test_acosh(&t) + test_asin(&t) + test_asinh(&t) + test_atan(&t) + test_atanh(&t) + test_atan2(&t) + test_cos(&t) + test_cosh(&t) + test_sin(&t) + test_sinh(&t) + test_sqrt(&t) + test_tan(&t) + test_tanh(&t) + test_large_cos(&t) + test_large_sin(&t) + test_large_tan(&t) + tc.report(&t) } @@ -308,3 +327,818 @@ test_trunc_f64 :: proc(t: ^testing.T) { r = trunc_f64(v) tc.expect(t, is_nan_f64(r), fmt.tprintf("%s(%f) -> %f != NaN", #procedure, v, r)) } + + +vf := []f64{ + 4.9790119248836735e+00, + 7.7388724745781045e+00, + -2.7688005719200159e-01, + -5.0106036182710749e+00, + 9.6362937071984173e+00, + 2.9263772392439646e+00, + 5.2290834314593066e+00, + 2.7279399104360102e+00, + 1.8253080916808550e+00, + -8.6859247685756013e+00, +} + +// The expected results below were computed by the high precision calculators at https://keisan.casio.com/. +acos := []f64{ + 1.0496193546107222142571536e+00, + 6.8584012813664425171660692e-01, + 1.5984878714577160325521819e+00, + 2.0956199361475859327461799e+00, + 2.7053008467824138592616927e-01, + 1.2738121680361776018155625e+00, + 1.0205369421140629186287407e+00, + 1.2945003481781246062157835e+00, + 1.3872364345374451433846657e+00, + 2.6231510803970463967294145e+00, +} +acosh := []f64{ + 2.4743347004159012494457618e+00, + 2.8576385344292769649802701e+00, + 7.2796961502981066190593175e-01, + 2.4796794418831451156471977e+00, + 3.0552020742306061857212962e+00, + 2.044238592688586588942468e+00, + 2.5158701513104513595766636e+00, + 1.99050839282411638174299e+00, + 1.6988625798424034227205445e+00, + 2.9611454842470387925531875e+00, +} +asin := []f64{ + 5.2117697218417440497416805e-01, + 8.8495619865825236751471477e-01, + -02.769154466281941332086016e-02, + -5.2482360935268931351485822e-01, + 1.3002662421166552333051524e+00, + 2.9698415875871901741575922e-01, + 5.5025938468083370060258102e-01, + 2.7629597861677201301553823e-01, + 1.83559892257451475846656e-01, + -1.0523547536021497774980928e+00, +} +asinh := []f64{ + 2.3083139124923523427628243e+00, + 2.743551594301593620039021e+00, + -2.7345908534880091229413487e-01, + -2.3145157644718338650499085e+00, + 2.9613652154015058521951083e+00, + 1.7949041616585821933067568e+00, + 2.3564032905983506405561554e+00, + 1.7287118790768438878045346e+00, + 1.3626658083714826013073193e+00, + -2.8581483626513914445234004e+00, +} +atan := []f64{ + 1.372590262129621651920085e+00, + 1.442290609645298083020664e+00, + -2.7011324359471758245192595e-01, + -1.3738077684543379452781531e+00, + 1.4673921193587666049154681e+00, + 1.2415173565870168649117764e+00, + 1.3818396865615168979966498e+00, + 1.2194305844639670701091426e+00, + 1.0696031952318783760193244e+00, + -1.4561721938838084990898679e+00, +} +atanh := []f64{ + 5.4651163712251938116878204e-01, + 1.0299474112843111224914709e+00, + -2.7695084420740135145234906e-02, + -5.5072096119207195480202529e-01, + 1.9943940993171843235906642e+00, + 3.01448604578089708203017e-01, + 5.8033427206942188834370595e-01, + 2.7987997499441511013958297e-01, + 1.8459947964298794318714228e-01, + -1.3273186910532645867272502e+00, +} +atan2 := []f64{ + 1.1088291730037004444527075e+00, + 9.1218183188715804018797795e-01, + 1.5984772603216203736068915e+00, + 2.0352918654092086637227327e+00, + 8.0391819139044720267356014e-01, + 1.2861075249894661588866752e+00, + 1.0889904479131695712182587e+00, + 1.3044821793397925293797357e+00, + 1.3902530903455392306872261e+00, + 2.2859857424479142655411058e+00, +} +cos := []f64{ + 2.634752140995199110787593e-01, + 1.148551260848219865642039e-01, + 9.6191297325640768154550453e-01, + 2.938141150061714816890637e-01, + -9.777138189897924126294461e-01, + -9.7693041344303219127199518e-01, + 4.940088096948647263961162e-01, + -9.1565869021018925545016502e-01, + -2.517729313893103197176091e-01, + -7.39241351595676573201918e-01, +} + +// Results for 1e5 * Pi + vf[i] +cosLarge := []f64{ + 2.634752141185559426744e-01, + 1.14855126055543100712e-01, + 9.61912973266488928113e-01, + 2.9381411499556122552e-01, + -9.777138189880161924641e-01, + -9.76930413445147608049e-01, + 4.940088097314976789841e-01, + -9.15658690217517835002e-01, + -2.51772931436786954751e-01, + -7.3924135157173099849e-01, +} + +cosh := []f64{ + 7.2668796942212842775517446e+01, + 1.1479413465659254502011135e+03, + 1.0385767908766418550935495e+00, + 7.5000957789658051428857788e+01, + 7.655246669605357888468613e+03, + 9.3567491758321272072888257e+00, + 9.331351599270605471131735e+01, + 7.6833430994624643209296404e+00, + 3.1829371625150718153881164e+00, + 2.9595059261916188501640911e+03, +} + +sin := []f64{ + -9.6466616586009283766724726e-01, + 9.9338225271646545763467022e-01, + -2.7335587039794393342449301e-01, + 9.5586257685042792878173752e-01, + -2.099421066779969164496634e-01, + 2.135578780799860532750616e-01, + -8.694568971167362743327708e-01, + 4.019566681155577786649878e-01, + 9.6778633541687993721617774e-01, + -6.734405869050344734943028e-01, +} + +// Results for 1e5 * Pi + vf[i] +sinLarge := []f64{ + -9.646661658548936063912e-01, + 9.933822527198506903752e-01, + -2.7335587036246899796e-01, + 9.55862576853689321268e-01, + -2.099421066862688873691e-01, + 2.13557878070308981163e-01, + -8.694568970959221300497e-01, + 4.01956668098863248917e-01, + 9.67786335404528727927e-01, + -6.7344058693131973066e-01, +} +sinh := []f64{ + 7.2661916084208532301448439e+01, + 1.1479409110035194500526446e+03, + -2.8043136512812518927312641e-01, + -7.499429091181587232835164e+01, + 7.6552466042906758523925934e+03, + 9.3031583421672014313789064e+00, + 9.330815755828109072810322e+01, + 7.6179893137269146407361477e+00, + 3.021769180549615819524392e+00, + -2.95950575724449499189888e+03, +} +sqrt := []f64{ + 2.2313699659365484748756904e+00, + 2.7818829009464263511285458e+00, + 5.2619393496314796848143251e-01, + 2.2384377628763938724244104e+00, + 3.1042380236055381099288487e+00, + 1.7106657298385224403917771e+00, + 2.286718922705479046148059e+00, + 1.6516476350711159636222979e+00, + 1.3510396336454586262419247e+00, + 2.9471892997524949215723329e+00, +} +tan := []f64{ + -3.661316565040227801781974e+00, + 8.64900232648597589369854e+00, + -2.8417941955033612725238097e-01, + 3.253290185974728640827156e+00, + 2.147275640380293804770778e-01, + -2.18600910711067004921551e-01, + -1.760002817872367935518928e+00, + -4.389808914752818126249079e-01, + -3.843885560201130679995041e+00, + 9.10988793377685105753416e-01, +} + +// Results for 1e5 * Pi + vf[i] +tanLarge := []f64{ + -3.66131656475596512705e+00, + 8.6490023287202547927e+00, + -2.841794195104782406e-01, + 3.2532901861033120983e+00, + 2.14727564046880001365e-01, + -2.18600910700688062874e-01, + -1.760002817699722747043e+00, + -4.38980891453536115952e-01, + -3.84388555942723509071e+00, + 9.1098879344275101051e-01, +} +tanh := []f64{ + 9.9990531206936338549262119e-01, + 9.9999962057085294197613294e-01, + -2.7001505097318677233756845e-01, + -9.9991110943061718603541401e-01, + 9.9999999146798465745022007e-01, + 9.9427249436125236705001048e-01, + 9.9994257600983138572705076e-01, + 9.9149409509772875982054701e-01, + 9.4936501296239685514466577e-01, + -9.9999994291374030946055701e-01, +} + +NaN :: 0h7fff_ffff_ffff_ffff +Pi :: 0h4009_21fb_5444_2d18 + +// arguments and expected results for special cases +vfacos_sc := []f64{ + -Pi, + 1, + Pi, + NaN, +} +acos_sc := []f64{ + NaN, + 0, + NaN, + NaN, +} + +vfacosh_sc := []f64{ + math.inf_f64(-1), + 0.5, + 1, + math.inf_f64(1), + NaN, +} +acosh_sc := []f64{ + NaN, + NaN, + 0, + math.inf_f64(1), + NaN, +} + +vfasin_sc := []f64{ + -Pi, + math.copy_sign_f64(0, -1), + 0, + Pi, + NaN, +} +asin_sc := []f64{ + NaN, + math.copy_sign_f64(0, -1), + 0, + NaN, + NaN, +} + +vfasinh_sc := []f64{ + math.inf_f64(-1), + math.copy_sign_f64(0, -1), + 0, + math.inf_f64(1), + NaN, +} +asinh_sc := []f64{ + math.inf_f64(-1), + math.copy_sign_f64(0, -1), + 0, + math.inf_f64(1), + NaN, +} + +vfatan_sc := []f64{ + math.inf_f64(-1), + math.copy_sign_f64(0, -1), + 0, + math.inf_f64(1), + NaN, +} +atan_sc := []f64{ + -Pi / 2, + math.copy_sign_f64(0, -1), + 0, + Pi / 2, + NaN, +} + +vfatanh_sc := []f64{ + math.inf_f64(-1), + -Pi, + -1, + math.copy_sign_f64(0, -1), + 0, + 1, + Pi, + math.inf_f64(1), + NaN, +} +atanh_sc := []f64{ + NaN, + NaN, + math.inf_f64(-1), + math.copy_sign_f64(0, -1), + 0, + math.inf_f64(1), + NaN, + NaN, + NaN, +} +vfatan2_sc := [][2]f64{ + {math.inf_f64(-1), math.inf_f64(-1)}, + {math.inf_f64(-1), -Pi}, + {math.inf_f64(-1), 0}, + {math.inf_f64(-1), +Pi}, + {math.inf_f64(-1), math.inf_f64(1)}, + {math.inf_f64(-1), NaN}, + {-Pi, math.inf_f64(-1)}, + {-Pi, 0}, + {-Pi, math.inf_f64(1)}, + {-Pi, NaN}, + {math.copy_sign_f64(0, -1), math.inf_f64(-1)}, + {math.copy_sign_f64(0, -1), -Pi}, + {math.copy_sign_f64(0, -1), math.copy_sign_f64(0, -1)}, + {math.copy_sign_f64(0, -1), 0}, + {math.copy_sign_f64(0, -1), +Pi}, + {math.copy_sign_f64(0, -1), math.inf_f64(1)}, + {math.copy_sign_f64(0, -1), NaN}, + {0, math.inf_f64(-1)}, + {0, -Pi}, + {0, math.copy_sign_f64(0, -1)}, + {0, 0}, + {0, +Pi}, + {0, math.inf_f64(1)}, + {0, NaN}, + {+Pi, math.inf_f64(-1)}, + {+Pi, 0}, + {+Pi, math.inf_f64(1)}, + {1.0, math.inf_f64(1)}, + {-1.0, math.inf_f64(1)}, + {+Pi, NaN}, + {math.inf_f64(1), math.inf_f64(-1)}, + {math.inf_f64(1), -Pi}, + {math.inf_f64(1), 0}, + {math.inf_f64(1), +Pi}, + {math.inf_f64(1), math.inf_f64(1)}, + {math.inf_f64(1), NaN}, + {NaN, NaN}, +} +atan2_sc := []f64{ + -3 * Pi / 4, // atan2(-Inf, -Inf) + -Pi / 2, // atan2(-Inf, -Pi) + -Pi / 2, // atan2(-Inf, +0) + -Pi / 2, // atan2(-Inf, +Pi) + -Pi / 4, // atan2(-Inf, +Inf) + NaN, // atan2(-Inf, NaN) + -Pi, // atan2(-Pi, -Inf) + -Pi / 2, // atan2(-Pi, +0) + math.copy_sign_f64(0, -1), // atan2(-Pi, Inf) + NaN, // atan2(-Pi, NaN) + -Pi, // atan2(-0, -Inf) + -Pi, // atan2(-0, -Pi) + -Pi, // atan2(-0, -0) + math.copy_sign_f64(0, -1), // atan2(-0, +0) + math.copy_sign_f64(0, -1), // atan2(-0, +Pi) + math.copy_sign_f64(0, -1), // atan2(-0, +Inf) + NaN, // atan2(-0, NaN) + Pi, // atan2(+0, -Inf) + Pi, // atan2(+0, -Pi) + Pi, // atan2(+0, -0) + 0, // atan2(+0, +0) + 0, // atan2(+0, +Pi) + 0, // atan2(+0, +Inf) + NaN, // atan2(+0, NaN) + Pi, // atan2(+Pi, -Inf) + Pi / 2, // atan2(+Pi, +0) + 0, // atan2(+Pi, +Inf) + 0, // atan2(+1, +Inf) + math.copy_sign_f64(0, -1), // atan2(-1, +Inf) + NaN, // atan2(+Pi, NaN) + 3 * Pi / 4, // atan2(+Inf, -Inf) + Pi / 2, // atan2(+Inf, -Pi) + Pi / 2, // atan2(+Inf, +0) + Pi / 2, // atan2(+Inf, +Pi) + Pi / 4, // atan2(+Inf, +Inf) + NaN, // atan2(+Inf, NaN) + NaN, // atan2(NaN, NaN) +} + +vfcbrt_sc := []f64{ + math.inf_f64(-1), + math.copy_sign_f64(0, -1), + 0, + math.inf_f64(1), + NaN, +} +cbrt_sc := []f64{ + math.inf_f64(-1), + math.copy_sign_f64(0, -1), + 0, + math.inf_f64(1), + NaN, +} + +vfceil_sc := []f64{ + math.inf_f64(-1), + math.copy_sign_f64(0, -1), + 0, + math.inf_f64(1), + NaN, +} +ceil_sc := []f64{ + math.inf_f64(-1), + math.copy_sign_f64(0, -1), + 0, + math.inf_f64(1), + NaN, +} + +vfcopysign_sc := []f64{ + math.inf_f64(-1), + math.inf_f64(1), + NaN, +} +copysign_sc := []f64{ + math.inf_f64(-1), + math.inf_f64(-1), + NaN, +} + +vfcos_sc := []f64{ + math.inf_f64(-1), + math.inf_f64(1), + NaN, +} +cos_sc := []f64{ + NaN, + NaN, + NaN, +} + +vfcosh_sc := []f64{ + math.inf_f64(-1), + math.copy_sign_f64(0, -1), + 0, + math.inf_f64(1), + NaN, +} +cosh_sc := []f64{ + math.inf_f64(1), + 1, + 1, + math.inf_f64(1), + NaN, +} + + +vfsin_sc := []f64{ + math.inf_f64(-1), + math.copy_sign_f64(0, -1), + 0, + math.inf_f64(1), + NaN, +} +sin_sc := []f64{ + NaN, + math.copy_sign_f64(0, -1), + 0, + NaN, + NaN, +} + +vfsinh_sc := []f64{ + math.inf_f64(-1), + math.copy_sign_f64(0, -1), + 0, + math.inf_f64(1), + NaN, +} +sinh_sc := []f64{ + math.inf_f64(-1), + math.copy_sign_f64(0, -1), + 0, + math.inf_f64(1), + NaN, +} + +vftanh_sc := []f64{ + math.inf_f64(-1), + math.copy_sign_f64(0, -1), + 0, + math.inf_f64(1), + NaN, +} +tanh_sc := []f64{ + -1, + math.copy_sign_f64(0, -1), + 0, + 1, + NaN, +} + + +tolerance :: proc(a, b, e: f64) -> bool { + // Multiplying by e here can underflow denormal values to zero. + // Check a==b so that at least if a and b are small and identical + // we say they match. + if a == b { + return true + } + e := e + d := a - b + if d < 0 { + d = -d + } + + // note: b is correct (expected) value, a is actual value. + // make error tolerance a fraction of b, not a. + if b != 0 { + e = e * b + if e < 0 { + e = -e + } + } + return d < e +} +close :: proc(t: ^testing.T, a, b: f64, loc := #caller_location) -> bool { + ok := tolerance(a, b, 1e-9) + // tc.expect(t, ok, fmt.tprintf("%.15g is not close to %.15g", a, b), loc) + return ok +} +veryclose :: proc(t: ^testing.T, a, b: f64, loc := #caller_location) -> bool { + ok := tolerance(a, b, 4e-14) + // tc.expect(t, ok, fmt.tprintf("%.15g is not veryclose to %.15g", a, b), loc) + return ok +} +soclose :: proc(t: ^testing.T, a, b, e: f64, loc := #caller_location) -> bool { + ok := tolerance(a, b, e) + // tc.expect(t, ok, fmt.tprintf("%.15g is not soclose to %.15g", a, b), loc) + return ok +} +alike :: proc(t: ^testing.T, a, b: f64, loc := #caller_location) -> bool { + ok := false + switch { + case math.is_nan(a) && math.is_nan(b): + ok = true + case a == b: + ok = math.signbit(a) == math.signbit(b) + } + // tc.expect(t, ok, fmt.tprintf("%.15g is not alike to %.15g", a, b), loc) + return ok +} + +@test +test_nan :: proc(t: ^testing.T) { + float64 := NaN + if float64 == float64 { + tc.errorf(t, "NaN returns %.15g, expected NaN", float64) + } + float32 := f32(float64) + if float32 == float32 { + tc.errorf(t, "float32(NaN) is %.15g, expected NaN", float32) + } +} + +@test +test_acos :: proc(t: ^testing.T) { + for _, i in vf { + a := vf[i] / 10 + if f := math.acos(a); !close(t, acos[i], f) { + tc.errorf(t, "math.acos(%.15g) = %.15g, want %.15g", a, f, acos[i]) + } + } + for _, i in vfacos_sc { + if f := math.acos(vfacos_sc[i]); !alike(t, acos_sc[i], f) { + tc.errorf(t, "math.acos(%.15g) = %.15g, want %.15g", vfacos_sc[i], f, acos_sc[i]) + } + } +} + +@test +test_acosh :: proc(t: ^testing.T) { + for _, i in vf { + a := 1 + abs(vf[i]) + if f := math.acosh(a); !veryclose(t, acosh[i], f) { + tc.errorf(t, "math.acosh(%.15g) = %.15g, want %.15g", a, f, acosh[i]) + } + } + for _, i in vfacosh_sc { + if f := math.acosh(vfacosh_sc[i]); !alike(t, acosh_sc[i], f) { + tc.errorf(t, "math.acosh(%.15g) = %.15g, want %.15g", vfacosh_sc[i], f, acosh_sc[i]) + } + } +} + +@test +test_asin :: proc(t: ^testing.T) { + for _, i in vf { + a := vf[i] / 10 + if f := math.asin(a); !veryclose(t, asin[i], f) { + tc.errorf(t, "math.asin(%.15g) = %.15g, want %.15g", a, f, asin[i]) + } + } + for _, i in vfasin_sc { + if f := math.asin(vfasin_sc[i]); !alike(t, asin_sc[i], f) { + tc.errorf(t, "math.asin(%.15g) = %.15g, want %.15g", vfasin_sc[i], f, asin_sc[i]) + } + } +} + +@test +test_asinh :: proc(t: ^testing.T) { + for _, i in vf { + if f := math.asinh(vf[i]); !veryclose(t, asinh[i], f) { + tc.errorf(t, "math.asinh(%.15g) = %.15g, want %.15g", vf[i], f, asinh[i]) + } + } + for _, i in vfasinh_sc { + if f := math.asinh(vfasinh_sc[i]); !alike(t, asinh_sc[i], f) { + tc.errorf(t, "math.asinh(%.15g) = %.15g, want %.15g", vfasinh_sc[i], f, asinh_sc[i]) + } + } +} + +@test +test_atan :: proc(t: ^testing.T) { + for _, i in vf { + if f := math.atan(vf[i]); !veryclose(t, atan[i], f) { + tc.errorf(t, "math.atan(%.15g) = %.15g, want %.15g", vf[i], f, atan[i]) + } + } + for _, i in vfatan_sc { + if f := math.atan(vfatan_sc[i]); !alike(t, atan_sc[i], f) { + tc.errorf(t, "math.atan(%.15g) = %.15g, want %.15g", vfatan_sc[i], f, atan_sc[i]) + } + } +} + +@test +test_atanh :: proc(t: ^testing.T) { + for _, i in vf { + a := vf[i] / 10 + if f := math.atanh(a); !veryclose(t, atanh[i], f) { + tc.errorf(t, "math.atanh(%.15g) = %.15g, want %.15g", a, f, atanh[i]) + } + } + for _, i in vfatanh_sc { + if f := math.atanh(vfatanh_sc[i]); !alike(t, atanh_sc[i], f) { + tc.errorf(t, "math.atanh(%.15g) = %.15g, want %.15g", vfatanh_sc[i], f, atanh_sc[i]) + } + } +} + +@test +test_atan2 :: proc(t: ^testing.T) { + for _, i in vf { + if f := math.atan2(10, vf[i]); !veryclose(t, atan2[i], f) { + tc.errorf(t, "math.atan2(10, %.15g) = %.15g, want %.15g", vf[i], f, atan2[i]) + } + } + for _, i in vfatan2_sc { + if f := math.atan2(vfatan2_sc[i][0], vfatan2_sc[i][1]); !alike(t, atan2_sc[i], f) { + tc.errorf(t, "math.atan2(%.15g, %.15g) = %.15g, want %.15g", vfatan2_sc[i][0], vfatan2_sc[i][1], f, atan2_sc[i]) + } + } +} + +@test +test_cos :: proc(t: ^testing.T) { + for _, i in vf { + if f := math.cos(vf[i]); !veryclose(t, cos[i], f) { + tc.errorf(t, "math.cos(%.15g) = %.15g, want %.15g", vf[i], f, cos[i]) + } + } + for _, i in vfcos_sc { + if f := math.cos(vfcos_sc[i]); !alike(t, cos_sc[i], f) { + tc.errorf(t, "math.cos(%.15g) = %.15g, want %.15g", vfcos_sc[i], f, cos_sc[i]) + } + } +} + +@test +test_cosh :: proc(t: ^testing.T) { + for _, i in vf { + if f := math.cosh(vf[i]); !close(t, cosh[i], f) { + tc.errorf(t, "math.cosh(%.15g) = %.15g, want %.15g", vf[i], f, cosh[i]) + } + } + for _, i in vfcosh_sc { + if f := math.cosh(vfcosh_sc[i]); !alike(t, cosh_sc[i], f) { + tc.errorf(t, "math.cosh(%.15g) = %.15g, want %.15g", vfcosh_sc[i], f, cosh_sc[i]) + } + } +} + +@test +test_sin :: proc(t: ^testing.T) { + for _, i in vf { + if f := math.sin(vf[i]); !veryclose(t, sin[i], f) { + tc.errorf(t, "math.sin(%.15g) = %.15g, want %.15g", vf[i], f, sin[i]) + } + } + for _, i in vfsin_sc { + if f := math.sin(vfsin_sc[i]); !alike(t, sin_sc[i], f) { + tc.errorf(t, "math.sin(%.15g) = %.15g, want %.15g", vfsin_sc[i], f, sin_sc[i]) + } + } +} + +@test +test_sinh :: proc(t: ^testing.T) { + for _, i in vf { + if f := math.sinh(vf[i]); !close(t, sinh[i], f) { + tc.errorf(t, "math.sinh(%.15g) = %.15g, want %.15g", vf[i], f, sinh[i]) + } + } + for _, i in vfsinh_sc { + if f := math.sinh(vfsinh_sc[i]); !alike(t, sinh_sc[i], f) { + tc.errorf(t, "math.sinh(%.15g) = %.15g, want %.15g", vfsinh_sc[i], f, sinh_sc[i]) + } + } +} + +@test +test_sqrt :: proc(t: ^testing.T) { + for _, i in vf { + a := abs(vf[i]) + if f := math.sqrt(a); !veryclose(t, sqrt[i], f) { + tc.errorf(t, "math.sqrt(%.15g) = %.15g, want %.15g", a, f, sqrt[i]) + } + } +} + +@test +test_tan :: proc(t: ^testing.T) { + for _, i in vf { + if f := math.tan(vf[i]); !veryclose(t, tan[i], f) { + tc.errorf(t, "math.tan(%.15g) = %.15g, want %.15g", vf[i], f, tan[i]) + } + } + // same special cases as Sin + for _, i in vfsin_sc { + if f := math.tan(vfsin_sc[i]); !alike(t, sin_sc[i], f) { + tc.errorf(t, "math.tan(%.15g) = %.15g, want %.15g", vfsin_sc[i], f, sin_sc[i]) + } + } +} + +@test +test_tanh :: proc(t: ^testing.T) { + for _, i in vf { + if f := math.tanh(vf[i]); !veryclose(t, tanh[i], f) { + tc.errorf(t, "math.tanh(%.15g) = %.15g, want %.15g", vf[i], f, tanh[i]) + } + } + for _, i in vftanh_sc { + if f := math.tanh(vftanh_sc[i]); !alike(t, tanh_sc[i], f) { + tc.errorf(t, "math.tanh(%.15g) = %.15g, want %.15g", vftanh_sc[i], f, tanh_sc[i]) + } + } +} + +@test +test_large_cos :: proc(t: ^testing.T) { + large := f64(1e5 * Pi) + for _, i in vf { + f1 := cosLarge[i] + f2 := math.cos(vf[i] + large) + if !close(t, f1, f2) { + tc.errorf(t, "math.cos(%.15g) = %.15g, want %.15g", vf[i]+large, f2, f1) + } + } +} + +@test +test_large_sin :: proc(t: ^testing.T) { + large := f64(1e5 * Pi) + for _, i in vf { + f1 := sinLarge[i] + f2 := math.sin(vf[i] + large) + if !close(t, f1, f2) { + tc.errorf(t, "math.sin(%.15g) = %.15g, want %.15g", vf[i]+large, f2, f1) + } + } +} + +@test +test_large_tan :: proc(t: ^testing.T) { + large := f64(1e5 * Pi) + for _, i in vf { + f1 := tanLarge[i] + f2 := math.tan(vf[i] + large) + if !close(t, f1, f2) { + tc.errorf(t, "math.tan(%.15g) = %.15g, want %.15g", vf[i]+large, f2, f1) + } + } +} \ No newline at end of file