From adee0f1cb0dcaf027d1fea6bc8c2c917c1fe3e33 Mon Sep 17 00:00:00 2001 From: Igor Yakovlev Date: Wed, 15 Dec 2021 16:21:13 +0100 Subject: [PATCH] [WASM] Add kotlin.math implementation --- .../testData/codegen/box/constants/float.kt | 2 - .../kotlin/wasm/internal/WasmInstructions.kt | 32 ++ .../wasm/src/kotlin/math/fdlibm/e_acos.kt | 103 +++++ .../wasm/src/kotlin/math/fdlibm/e_acosh.kt | 55 +++ .../wasm/src/kotlin/math/fdlibm/e_asin.kt | 113 +++++ .../wasm/src/kotlin/math/fdlibm/e_atan2.kt | 119 +++++ .../wasm/src/kotlin/math/fdlibm/e_atanh.kt | 59 +++ .../wasm/src/kotlin/math/fdlibm/e_cosh.kt | 83 ++++ .../wasm/src/kotlin/math/fdlibm/e_exp.kt | 153 +++++++ .../wasm/src/kotlin/math/fdlibm/e_hypot.kt | 125 ++++++ .../wasm/src/kotlin/math/fdlibm/e_log.kt | 144 +++++++ .../wasm/src/kotlin/math/fdlibm/e_log10.kt | 83 ++++ .../wasm/src/kotlin/math/fdlibm/e_log2.kt | 72 ++++ .../wasm/src/kotlin/math/fdlibm/e_pow.kt | 333 ++++++++++++++ .../wasm/src/kotlin/math/fdlibm/e_rem_pio2.kt | 175 ++++++++ .../wasm/src/kotlin/math/fdlibm/e_sinh.kt | 75 ++++ .../wasm/src/kotlin/math/fdlibm/k_cos.kt | 85 ++++ .../wasm/src/kotlin/math/fdlibm/k_rem_pio2.kt | 408 ++++++++++++++++++ .../wasm/src/kotlin/math/fdlibm/k_sin.kt | 66 +++ .../wasm/src/kotlin/math/fdlibm/k_tan.kt | 158 +++++++ .../wasm/src/kotlin/math/fdlibm/s_asinh.kt | 53 +++ .../wasm/src/kotlin/math/fdlibm/s_atan.kt | 120 ++++++ .../wasm/src/kotlin/math/fdlibm/s_cos.kt | 72 ++++ .../wasm/src/kotlin/math/fdlibm/s_expm1.kt | 214 +++++++++ .../wasm/src/kotlin/math/fdlibm/s_fabs.kt | 21 + .../wasm/src/kotlin/math/fdlibm/s_ilogb.kt | 52 +++ .../wasm/src/kotlin/math/fdlibm/s_log1p.kt | 167 +++++++ .../src/kotlin/math/fdlibm/s_nextafter.kt | 78 ++++ .../wasm/src/kotlin/math/fdlibm/s_rint.kt | 77 ++++ .../wasm/src/kotlin/math/fdlibm/s_scalbn.kt | 57 +++ .../wasm/src/kotlin/math/fdlibm/s_sin.kt | 72 ++++ .../wasm/src/kotlin/math/fdlibm/s_tan.kt | 67 +++ .../wasm/src/kotlin/math/fdlibm/s_tanh.kt | 75 ++++ .../wasm/src/kotlin/math/fdlibm/utils.kt | 19 + .../wasm/src/kotlin/{Math.kt => math/math.kt} | 248 ++++++----- license/README.md | 4 + license/third_party/sun_license.txt | 6 + 37 files changed, 3743 insertions(+), 102 deletions(-) create mode 100644 libraries/stdlib/wasm/src/kotlin/math/fdlibm/e_acos.kt create mode 100644 libraries/stdlib/wasm/src/kotlin/math/fdlibm/e_acosh.kt create mode 100644 libraries/stdlib/wasm/src/kotlin/math/fdlibm/e_asin.kt create mode 100644 libraries/stdlib/wasm/src/kotlin/math/fdlibm/e_atan2.kt create mode 100644 libraries/stdlib/wasm/src/kotlin/math/fdlibm/e_atanh.kt create mode 100644 libraries/stdlib/wasm/src/kotlin/math/fdlibm/e_cosh.kt create mode 100644 libraries/stdlib/wasm/src/kotlin/math/fdlibm/e_exp.kt create mode 100644 libraries/stdlib/wasm/src/kotlin/math/fdlibm/e_hypot.kt create mode 100644 libraries/stdlib/wasm/src/kotlin/math/fdlibm/e_log.kt create mode 100644 libraries/stdlib/wasm/src/kotlin/math/fdlibm/e_log10.kt create mode 100644 libraries/stdlib/wasm/src/kotlin/math/fdlibm/e_log2.kt create mode 100644 libraries/stdlib/wasm/src/kotlin/math/fdlibm/e_pow.kt create mode 100644 libraries/stdlib/wasm/src/kotlin/math/fdlibm/e_rem_pio2.kt create mode 100644 libraries/stdlib/wasm/src/kotlin/math/fdlibm/e_sinh.kt create mode 100644 libraries/stdlib/wasm/src/kotlin/math/fdlibm/k_cos.kt create mode 100644 libraries/stdlib/wasm/src/kotlin/math/fdlibm/k_rem_pio2.kt create mode 100644 libraries/stdlib/wasm/src/kotlin/math/fdlibm/k_sin.kt create mode 100644 libraries/stdlib/wasm/src/kotlin/math/fdlibm/k_tan.kt create mode 100644 libraries/stdlib/wasm/src/kotlin/math/fdlibm/s_asinh.kt create mode 100644 libraries/stdlib/wasm/src/kotlin/math/fdlibm/s_atan.kt create mode 100644 libraries/stdlib/wasm/src/kotlin/math/fdlibm/s_cos.kt create mode 100644 libraries/stdlib/wasm/src/kotlin/math/fdlibm/s_expm1.kt create mode 100644 libraries/stdlib/wasm/src/kotlin/math/fdlibm/s_fabs.kt create mode 100644 libraries/stdlib/wasm/src/kotlin/math/fdlibm/s_ilogb.kt create mode 100644 libraries/stdlib/wasm/src/kotlin/math/fdlibm/s_log1p.kt create mode 100644 libraries/stdlib/wasm/src/kotlin/math/fdlibm/s_nextafter.kt create mode 100644 libraries/stdlib/wasm/src/kotlin/math/fdlibm/s_rint.kt create mode 100644 libraries/stdlib/wasm/src/kotlin/math/fdlibm/s_scalbn.kt create mode 100644 libraries/stdlib/wasm/src/kotlin/math/fdlibm/s_sin.kt create mode 100644 libraries/stdlib/wasm/src/kotlin/math/fdlibm/s_tan.kt create mode 100644 libraries/stdlib/wasm/src/kotlin/math/fdlibm/s_tanh.kt create mode 100644 libraries/stdlib/wasm/src/kotlin/math/fdlibm/utils.kt rename libraries/stdlib/wasm/src/kotlin/{Math.kt => math/math.kt} (69%) create mode 100644 license/third_party/sun_license.txt diff --git a/compiler/testData/codegen/box/constants/float.kt b/compiler/testData/codegen/box/constants/float.kt index 43885b0725e..830333f86f3 100644 --- a/compiler/testData/codegen/box/constants/float.kt +++ b/compiler/testData/codegen/box/constants/float.kt @@ -1,5 +1,3 @@ -// IGNORE_BACKEND: WASM -// WASM_MUTE_REASON: STDLIB_MATH // WITH_STDLIB import kotlin.math.* diff --git a/libraries/stdlib/wasm/internal/kotlin/wasm/internal/WasmInstructions.kt b/libraries/stdlib/wasm/internal/kotlin/wasm/internal/WasmInstructions.kt index 1ba074f4d8b..decb9620eb3 100644 --- a/libraries/stdlib/wasm/internal/kotlin/wasm/internal/WasmInstructions.kt +++ b/libraries/stdlib/wasm/internal/kotlin/wasm/internal/WasmInstructions.kt @@ -246,6 +246,38 @@ public external fun wasm_f64_min(a: Double, b: Double): Double @WasmOp(WasmOp.F64_MAX) public external fun wasm_f64_max(a: Double, b: Double): Double +@WasmOp(WasmOp.F64_SQRT) +public external fun wasm_f64_sqrt(a: Double): Double + +@WasmOp(WasmOp.F64_CEIL) +public external fun wasm_f64_ceil(a: Double): Double + +@WasmOp(WasmOp.F64_FLOOR) +public external fun wasm_f64_floor(a: Double): Double + +@WasmOp(WasmOp.F64_TRUNC) +public external fun wasm_f64_truncate(a: Double): Double + +@WasmOp(WasmOp.F64_COPYSIGN) +public external fun wasm_f64_copysign(a: Double, b: Double): Double + +@WasmOp(WasmOp.F64_ABS) +public external fun wasm_f64_abs(a: Double): Double + +@WasmOp(WasmOp.F32_SQRT) +public external fun wasm_f32_sqrt(a: Float): Float + +@WasmOp(WasmOp.F32_CEIL) +public external fun wasm_f32_ceil(a: Float): Float + +@WasmOp(WasmOp.F32_FLOOR) +public external fun wasm_f32_floor(a: Float): Float + +@WasmOp(WasmOp.F32_TRUNC) +public external fun wasm_f32_truncate(a: Float): Float + +@WasmOp(WasmOp.F32_ABS) +public external fun wasm_f32_abs(a: Float): Float @WasmOp(WasmOp.REF_IS_NULL) public external fun wasm_ref_is_null(a: Any?): Boolean diff --git a/libraries/stdlib/wasm/src/kotlin/math/fdlibm/e_acos.kt b/libraries/stdlib/wasm/src/kotlin/math/fdlibm/e_acos.kt new file mode 100644 index 00000000000..521ab5423f9 --- /dev/null +++ b/libraries/stdlib/wasm/src/kotlin/math/fdlibm/e_acos.kt @@ -0,0 +1,103 @@ +/* @(#)e_acos.c 1.3 95/01/18 */ +/* + * ==================================================== + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * + * Developed at SunSoft, a Sun Microsystems, Inc. business. + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + */ + +/* __ieee754_acos(x) + * Method : + * acos(x) = pi/2 - asin(x) + * acos(-x) = pi/2 + asin(x) + * For |x|<=0.5 + * acos(x) = pi/2 - (x + x*x^2*R(x^2)) (see asin.c) + * For x>0.5 + * acos(x) = pi/2 - (pi/2 - 2asin(sqrt((1-x)/2))) + * = 2asin(sqrt((1-x)/2)) + * = 2s + 2s*z*R(z) ...z=(1-x)/2, s=sqrt(z) + * = 2f + (2c + 2s*z*R(z)) + * where f=hi part of s, and c = (z-f*f)/(s+f) is the correction term + * for f so that f+c ~ sqrt(z). + * For x<-0.5 + * acos(x) = pi - 2asin(sqrt((1-|x|)/2)) + * = pi - 0.5*(s+s*z*R(z)), where z=(1-|x|)/2,s=sqrt(z) + * + * Special cases: + * if x is NaN, return x itself; + * if |x|>1, return NaN with invalid signal. + * + * Function needed: sqrt + */ + +package kotlin.math.fdlibm + +import kotlin.wasm.internal.wasm_f64_sqrt as sqrt + +private const val one = 1.00000000000000000000e+00 /* 0x3FF00000, 0x00000000 */ +private const val pi = 3.14159265358979311600e+00 /* 0x400921FB, 0x54442D18 */ +private const val pio2_hi = 1.57079632679489655800e+00 /* 0x3FF921FB, 0x54442D18 */ +private const val pio2_lo = 6.12323399573676603587e-17 /* 0x3C91A626, 0x33145C07 */ +private const val pS0 = 1.66666666666666657415e-01 /* 0x3FC55555, 0x55555555 */ +private const val pS1 = -3.25565818622400915405e-01 /* 0xBFD4D612, 0x03EB6F7D */ +private const val pS2 = 2.01212532134862925881e-01 /* 0x3FC9C155, 0x0E884455 */ +private const val pS3 = -4.00555345006794114027e-02 /* 0xBFA48228, 0xB5688F3B */ +private const val pS4 = 7.91534994289814532176e-04 /* 0x3F49EFE0, 0x7501B288 */ +private const val pS5 = 3.47933107596021167570e-05 /* 0x3F023DE1, 0x0DFDF709 */ +private const val qS1 = -2.40339491173441421878e+00 /* 0xC0033A27, 0x1C8A2D4B */ +private const val qS2 = 2.02094576023350569471e+00 /* 0x40002AE5, 0x9C598AC8 */ +private const val qS3 = -6.88283971605453293030e-01 /* 0xBFE6066C, 0x1B8D0159 */ +private const val qS4 = 7.70381505559019352791e-02 /* 0x3FB3B8C5, 0xB12E9282 */ + +internal fun __ieee754_acos(x: Double): Double { + var z: Double = 0.0 + var p: Double = 0.0 + var q: Double = 0.0 + var r: Double = 0.0 + var w: Double = 0.0 + var s: Double = 0.0 + var c: Double = 0.0 + var df: Double = 0.0 + var hx: Int = 0 + var ix: Int = 0 + hx = __HI(x) + ix = hx and 0x7fffffff + if (ix >= 0x3ff00000) { /* |x| >= 1 */ + if (((ix - 0x3ff00000) or __LO(x)) == 0) { /* |x|==1 */ + if (hx > 0) return 0.0 /* acos(1) = 0 */ + else return pi + 2.0 * pio2_lo /* acos(-1)= pi */ + } + return (x - x) / (x - x) /* acos(|x|>1) is NaN */ + } + if (ix < 0x3fe00000) { /* |x| < 0.5 */ + if (ix <= 0x3c600000) return pio2_hi + pio2_lo/*if|x|<2**-57*/ + z = x * x + p = z * (pS0 + z * (pS1 + z * (pS2 + z * (pS3 + z * (pS4 + z * pS5))))) + q = one + z * (qS1 + z * (qS2 + z * (qS3 + z * qS4))) + r = p / q + return pio2_hi - (x - (pio2_lo - x * r)) + } else if (hx < 0) { /* x < -0.5 */ + z = (one + x) * 0.5 + p = z * (pS0 + z * (pS1 + z * (pS2 + z * (pS3 + z * (pS4 + z * pS5))))) + q = one + z * (qS1 + z * (qS2 + z * (qS3 + z * qS4))) + s = sqrt(z) + r = p / q + w = r * s - pio2_lo + return pi - 2.0 * (s + w) + } else { /* x > 0.5 */ + z = (one - x) * 0.5 + s = sqrt(z) + df = s + df = doubleSetWord(d = df, lo = 0) + c = (z - df * df) / (s + df) + p = z * (pS0 + z * (pS1 + z * (pS2 + z * (pS3 + z * (pS4 + z * pS5))))) + q = one + z * (qS1 + z * (qS2 + z * (qS3 + z * qS4))) + r = p / q + w = r * s + c + return 2.0 * (df + w) + } +} diff --git a/libraries/stdlib/wasm/src/kotlin/math/fdlibm/e_acosh.kt b/libraries/stdlib/wasm/src/kotlin/math/fdlibm/e_acosh.kt new file mode 100644 index 00000000000..15e86b442d7 --- /dev/null +++ b/libraries/stdlib/wasm/src/kotlin/math/fdlibm/e_acosh.kt @@ -0,0 +1,55 @@ +/* @(#)e_acosh.c 1.3 95/01/18 */ +/* + * ==================================================== + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * + * Developed at SunSoft, a Sun Microsystems, Inc. business. + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + * + */ + +/* __ieee754_acosh(x) + * Method : + * Based on + * acosh(x) = log [ x + sqrt(x*x-1) ] + * we have + * acosh(x) := log(x)+ln2, if x is large; else + * acosh(x) := log(2x-1/(sqrt(x*x-1)+x)) if x>2; else + * acosh(x) := log1p(t+sqrt(2.0*t+t*t)); where t=x-1. + * + * Special cases: + * acosh(x) is NaN with signal if x<1. + * acosh(NaN) is NaN without signal. + */ + +package kotlin.math.fdlibm + +import kotlin.wasm.internal.wasm_f64_sqrt as sqrt + +private const val one = 1.0 +private const val ln2 = 6.93147180559945286227e-01 /* 0x3FE62E42, 0xFEFA39EF */ + +internal fun __ieee754_acosh(x: Double): Double { + var t: Double = 0.0 + var hx: Int = 0 + hx = __HI(x) + if (hx < 0x3ff00000) { /* x < 1 */ + return (x - x) / (x - x) + } else if (hx >= 0x41b00000) { /* x > 2**28 */ + if (hx >= 0x7ff00000) { /* x is inf of NaN */ + return x + x + } else + return __ieee754_log(x) + ln2 /* acosh(huge)=log(2x) */ + } else if (((hx - 0x3ff00000) or __LO(x)) == 0) { + return 0.0 /* acosh(1) = 0 */ + } else if (hx > 0x40000000) { /* 2**28 > x > 2 */ + t = x * x + return __ieee754_log(2.0 * x - one / (x + sqrt(t - one))) + } else { /* 10.98 + * asin(x) = pi/2 - 2*(s+s*z*R(z)) + * = pio2_hi - (2*(s+s*z*R(z)) - pio2_lo) + * For x<=0.98, let pio4_hi = pio2_hi/2, then + * f = hi part of s; + * c = sqrt(z) - f = (z-f*f)/(s+f) ...f+c=sqrt(z) + * and + * asin(x) = pi/2 - 2*(s+s*z*R(z)) + * = pio4_hi+(pio4-2s)-(2s*z*R(z)-pio2_lo) + * = pio4_hi+(pio4-2f)-(2s*z*R(z)-(pio2_lo+2c)) + * + * Special cases: + * if x is NaN, return x itself; + * if |x|>1, return NaN with invalid signal. + * + */ + + +package kotlin.math.fdlibm + +import kotlin.wasm.internal.wasm_f64_sqrt as sqrt + +private const val one = 1.00000000000000000000e+00 /* 0x3FF00000, 0x00000000 */ +private const val huge = 1.000e+300 + +private const val pio2_hi = 1.57079632679489655800e+00 /* 0x3FF921FB, 0x54442D18 */ +private const val pio2_lo = 6.12323399573676603587e-17 /* 0x3C91A626, 0x33145C07 */ +private const val pio4_hi = 7.85398163397448278999e-01 /* 0x3FE921FB, 0x54442D18 */ + +/* coefficient for R(x^2) */ +private const val pS0 = 1.66666666666666657415e-01 /* 0x3FC55555, 0x55555555 */ +private const val pS1 = -3.25565818622400915405e-01 /* 0xBFD4D612, 0x03EB6F7D */ +private const val pS2 = 2.01212532134862925881e-01 /* 0x3FC9C155, 0x0E884455 */ +private const val pS3 = -4.00555345006794114027e-02 /* 0xBFA48228, 0xB5688F3B */ +private const val pS4 = 7.91534994289814532176e-04 /* 0x3F49EFE0, 0x7501B288 */ +private const val pS5 = 3.47933107596021167570e-05 /* 0x3F023DE1, 0x0DFDF709 */ +private const val qS1 = -2.40339491173441421878e+00 /* 0xC0033A27, 0x1C8A2D4B */ +private const val qS2 = 2.02094576023350569471e+00 /* 0x40002AE5, 0x9C598AC8 */ +private const val qS3 = -6.88283971605453293030e-01 /* 0xBFE6066C, 0x1B8D0159 */ +private const val qS4 = 7.70381505559019352791e-02 /* 0x3FB3B8C5, 0xB12E9282 */ + +internal fun __ieee754_asin(x: Double): Double { + var t: Double = 0.0 + var w: Double = 0.0 + var p: Double = 0.0 + var q: Double = 0.0 + var c: Double = 0.0 + var r: Double = 0.0 + var s: Double = 0.0 + var hx: Int = 0 + var ix: Int = 0 + hx = __HI(x) + ix = hx and 0x7fffffff + if (ix >= 0x3ff00000) { /* |x|>= 1 */ + if (((ix - 0x3ff00000) or __LO(x)) == 0) + /* asin(1)=+-pi/2 with inexact */ + return x * pio2_hi + x * pio2_lo + return (x - x) / (x - x) /* asin(|x|>1) is NaN */ + } else if (ix < 0x3fe00000) { /* |x|<0.5 */ + if (ix < 0x3e400000) { /* if |x| < 2**-27 */ + if (huge + x > one) return x/* return x with inexact if x!=0*/ + } else + t = x * x + p = t * (pS0 + t * (pS1 + t * (pS2 + t * (pS3 + t * (pS4 + t * pS5))))) + q = one + t * (qS1 + t * (qS2 + t * (qS3 + t * qS4))) + w = p / q + return x + x * w + } + /* 1> |x|>= 0.5 */ + w = one - fabs(x) + t = w * 0.5 + p = t * (pS0 + t * (pS1 + t * (pS2 + t * (pS3 + t * (pS4 + t * pS5))))) + q = one + t * (qS1 + t * (qS2 + t * (qS3 + t * qS4))) + s = sqrt(t) + if (ix >= 0x3FEF3333) { /* if |x| > 0.975 */ + w = p / q + t = pio2_hi - (2.0 * (s + s * w) - pio2_lo) + } else { + w = s + w = doubleSetWord(d = w, lo = 0) + c = (t - w * w) / (s + w) + r = p / q + p = 2.0 * s * r - (pio2_lo - 2.0 * c) + q = pio4_hi - 2.0 * w + t = pio4_hi - (p - q) + } + if (hx > 0) return t; else return -t +} diff --git a/libraries/stdlib/wasm/src/kotlin/math/fdlibm/e_atan2.kt b/libraries/stdlib/wasm/src/kotlin/math/fdlibm/e_atan2.kt new file mode 100644 index 00000000000..cb36ca1fd10 --- /dev/null +++ b/libraries/stdlib/wasm/src/kotlin/math/fdlibm/e_atan2.kt @@ -0,0 +1,119 @@ +/* @(#)e_atan2.c 1.3 95/01/18 */ +/* + * ==================================================== + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * + * Developed at SunSoft, a Sun Microsystems, Inc. business. + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + * + */ + +/* __ieee754_atan2(y,x) + * Method : + * 1. Reduce y to positive by atan2(y,x)=-atan2(-y,x). + * 2. Reduce x to positive by (if x and y are unexceptional): + * ARG (x+iy) = arctan(y/x) ... if x > 0, + * ARG (x+iy) = pi - arctan[y/(-x)] ... if x < 0, + * + * Special cases: + * + * ATAN2((anything), NaN ) is NaN; + * ATAN2(NAN , (anything) ) is NaN; + * ATAN2(+-0, +(anything but NaN)) is +-0 ; + * ATAN2(+-0, -(anything but NaN)) is +-pi ; + * ATAN2(+-(anything but 0 and NaN), 0) is +-pi/2; + * ATAN2(+-(anything but INF and NaN), +INF) is +-0 ; + * ATAN2(+-(anything but INF and NaN), -INF) is +-pi; + * ATAN2(+-INF,+INF ) is +-pi/4 ; + * ATAN2(+-INF,-INF ) is +-3pi/4; + * ATAN2(+-INF, (anything but,0,NaN, and INF)) is +-pi/2; + * + * Constants: + * The hexadecimal values are the intended ones for the following + * constants. The decimal values may be used, provided that the + * compiler will convert from decimal to binary accurately enough + * to produce the hexadecimal values shown. + */ + +package kotlin.math.fdlibm + +private const val tiny = 1.0e-300 +private const val zero = 0.0 + +private const val pi_o_4 = 7.8539816339744827900E-01 /* 0x3FE921FB, 0x54442D18 */ +private const val pi_o_2 = 1.5707963267948965580E+00 /* 0x3FF921FB, 0x54442D18 */ +private const val pi = 3.1415926535897931160E+00 /* 0x400921FB, 0x54442D18 */ +private const val pi_lo = 1.2246467991473531772E-16 /* 0x3CA1A626, 0x33145C07 */ + +internal fun __ieee754_atan2(y: Double, x: Double): Double { + var z: Double = 0.0 + var k: Int = 0 + var m: Int = 0 + var hx: Int = 0 + var hy: Int = 0 + var ix: Int = 0 + var iy: Int = 0 + var lx: UInt = 0U + var ly: UInt = 0U + + hx = __HI(x); ix = hx and 0x7fffffff + lx = __LOu(x) + hy = __HI(y); iy = hy and 0x7fffffff + ly = __LOu(y) + if (((ix or ((lx or lx.negate()) shr 31).toInt()) > 0x7ff00000) || + ((iy or ((ly or ly.negate()) shr 31).toInt()) > 0x7ff00000) + ) /* x or y is NaN */ + return x + y + if (((hx - 0x3ff00000) or lx.toInt()) == 0) return atan(y) /* x=1.0 */ + m = ((hy shr 31) and 1) or ((hx shr 30) and 2) /* 2*sign(x)+sign(y) */ + + /* when y = 0 */ + if ((iy or ly.toInt()) == 0) { + when (m) { + 0, 1 -> return y /* atan(+-0,+anything)=+-0 */ + 2 -> return pi + tiny/* atan(+0,-anything) = pi */ + 3 -> return -pi - tiny/* atan(-0,-anything) =-pi */ + } + } + /* when x = 0 */ + if ((ix or lx.toInt()) == 0) return if (hy < 0) -pi_o_2 - tiny else pi_o_2 + tiny + + /* when x is INF */ + if (ix == 0x7ff00000) { + if (iy == 0x7ff00000) { + when (m) { + 0 -> return pi_o_4 + tiny/* atan(+INF,+INF) */ + 1 -> return -pi_o_4 - tiny/* atan(-INF,+INF) */ + 2 -> return 3.0 * pi_o_4 + tiny/*atan(+INF,-INF)*/ + 3 -> return -3.0 * pi_o_4 - tiny/*atan(-INF,-INF)*/ + } + } else { + when (m) { + 0 -> return zero /* atan(+...,+INF) */ + 1 -> return -zero /* atan(-...,+INF) */ + 2 -> return pi + tiny /* atan(+...,-INF) */ + 3 -> return -pi - tiny /* atan(-...,-INF) */ + } + } + } + /* when y is INF */ + if (iy == 0x7ff00000) return if (hy < 0) -pi_o_2 - tiny else pi_o_2 + tiny + + /* compute y/x */ + k = (iy - ix) shr 20 + if (k > 60) z = pi_o_2 + 0.5 * pi_lo /* |y/x| > 2**60 */ + else if (hx < 0 && k < -60) z = 0.0 /* |y|/x < -2**60 */ + else z = atan(fabs(y / x)) /* safe to do y/x */ + when (m) { + 0 -> return z /* atan(+,+) */ + 1 -> { + z = doubleSetWord(d = z, hi = __HI(z) xor Int.MIN_VALUE) + return z /* atan(-,+) */ + } + 2 -> return pi - (z - pi_lo)/* atan(+,-) */ + else -> /* case 3 */ return (z - pi_lo) - pi/* atan(-,-) */ + } +} diff --git a/libraries/stdlib/wasm/src/kotlin/math/fdlibm/e_atanh.kt b/libraries/stdlib/wasm/src/kotlin/math/fdlibm/e_atanh.kt new file mode 100644 index 00000000000..8ef1a36cde2 --- /dev/null +++ b/libraries/stdlib/wasm/src/kotlin/math/fdlibm/e_atanh.kt @@ -0,0 +1,59 @@ +/* @(#)e_atanh.c 1.3 95/01/18 */ +/* + * ==================================================== + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * + * Developed at SunSoft, a Sun Microsystems, Inc. business. + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + * + */ + +/* __ieee754_atanh(x) + * Method : + * 1.Reduced x to positive by atanh(-x) = -atanh(x) + * 2.For x>=0.5 + * 1 2x x + * atanh(x) = --- * log(1 + -------) = 0.5 * log1p(2 * --------) + * 2 1 - x 1 - x + * + * For x<0.5 + * atanh(x) = 0.5*log1p(2x+2x*x/(1-x)) + * + * Special cases: + * atanh(x) is NaN if |x| > 1 with signal; + * atanh(NaN) is that NaN with no signal; + * atanh(+-1) is +-INF with signal. + * + */ + +package kotlin.math.fdlibm + +private const val one = 1.0 +private const val huge = 1e300 +private const val zero = 0.0 + +internal fun __ieee754_atanh(x: Double): Double { + var x: Double = x + var t: Double = 0.0 + var hx: Int = 0 + var ix: Int = 0 + var lx: UInt = 0U + hx = __HI(x) /* high word */ + lx = __LOu(x) /* low word */ + ix = hx and 0x7fffffff + if ((ix or ((lx or lx.negate()) shr 31).toInt()) > 0x3ff00000) /* |x|>1 */ + return (x - x) / (x - x) + if (ix == 0x3ff00000) + return x / zero + if (ix < 0x3e300000 && (huge + x) > zero) return x /* x<2**-28 */ + x = doubleSetWord(d = x, hi = ix) /* x <- |x| */ + if (ix < 0x3fe00000) { /* x < 0.5 */ + t = x + x + t = 0.5 * log1p(t + t * x / (one - x)) + } else + t = 0.5 * log1p((x + x) / (one - x)) + if (hx >= 0) return t; else return -t +} diff --git a/libraries/stdlib/wasm/src/kotlin/math/fdlibm/e_cosh.kt b/libraries/stdlib/wasm/src/kotlin/math/fdlibm/e_cosh.kt new file mode 100644 index 00000000000..0f39b0b27bb --- /dev/null +++ b/libraries/stdlib/wasm/src/kotlin/math/fdlibm/e_cosh.kt @@ -0,0 +1,83 @@ +/* @(#)e_cosh.c 1.3 95/01/18 */ +/* + * ==================================================== + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * + * Developed at SunSoft, a Sun Microsystems, Inc. business. + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + */ + +/* __ieee754_cosh(x) + * Method : + * mathematically cosh(x) if defined to be (exp(x)+exp(-x))/2 + * 1. Replace x by |x| (cosh(x) = cosh(-x)). + * 2. + * [ exp(x) - 1 ]^2 + * 0 <= x <= ln2/2 : cosh(x) := 1 + ------------------- + * 2*exp(x) + * + * exp(x) + 1/exp(x) + * ln2/2 <= x <= 22 : cosh(x) := ------------------- + * 2 + * 22 <= x <= lnovft : cosh(x) := exp(x)/2 + * lnovft <= x <= ln2ovft: cosh(x) := exp(x/2)/2 * exp(x/2) + * ln2ovft < x : cosh(x) := huge*huge (overflow) + * + * Special cases: + * cosh(x) is |x| if x is +INF, -INF, or NaN. + * only cosh(0)=1 is exact for finite x. + */ + +package kotlin.math.fdlibm + +private const val one = 1.0 +private const val half = 0.5 +private const val huge = 1.0e300 + +internal fun __ieee754_cosh(x: Double): Double { + var t: Double = 0.0 + var w: Double = 0.0 + var ix: Int = 0 + var lx: UInt = 0U + + /* High word of |x|. */ + ix = __HI(x) + ix = ix and 0x7fffffff + + /* x is INF or NaN */ + if (ix >= 0x7ff00000) return x * x + + /* |x| in [0,0.5*ln2], return 1+expm1(|x|)^2/(2*exp(|x|)) */ + if (ix < 0x3fd62e43) { + t = expm1(fabs(x)) + w = one + t + if (ix < 0x3c800000) return w /* cosh(tiny) = 1 */ + return one + (t * t) / (w + w) + } + + /* |x| in [0.5*ln2,22], return (exp(|x|)+1/exp(|x|)/2; */ + if (ix < 0x40360000) { + t = __ieee754_exp(fabs(x)) + return half * t + half / t + } + + /* |x| in [22, log(maxdouble)] return half*exp(|x|) */ + if (ix < 0x40862E42) return half * __ieee754_exp(fabs(x)) + + /* |x| in [log(maxdouble), overflowthresold] */ + //lx = *( (((*(unsigned*)&one) shr 29)) + (unsigned*)&x); + lx = __LOu(x) + if (ix < 0x408633CE || + (ix == 0x408633ce) && (lx <= 0x8fb9f87d.toUInt()) + ) { + w = __ieee754_exp(half * fabs(x)) + t = half * w + return t * w + } + + /* |x| > overflowthresold, cosh(x) overflow */ + return huge * huge +} diff --git a/libraries/stdlib/wasm/src/kotlin/math/fdlibm/e_exp.kt b/libraries/stdlib/wasm/src/kotlin/math/fdlibm/e_exp.kt new file mode 100644 index 00000000000..cd0c888a7f9 --- /dev/null +++ b/libraries/stdlib/wasm/src/kotlin/math/fdlibm/e_exp.kt @@ -0,0 +1,153 @@ +/* @(#)e_exp.c 1.6 04/04/22 */ +/* + * ==================================================== + * Copyright (C) 2004 by Sun Microsystems, Inc. All rights reserved. + * + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + */ + +/* __ieee754_exp(x) + * Returns the exponential of x. + * + * Method + * 1. Argument reduction: + * Reduce x to an r so that |r| <= 0.5*ln2 ~ 0.34658. + * Given x, find r and integer k such that + * + * x = k*ln2 + r, |r| <= 0.5*ln2. + * + * Here r will be represented as r = hi-lo for better + * accuracy. + * + * 2. Approximation of exp(r) by a special rational function on + * the interval [0,0.34658]: + * Write + * R(r**2) = r*(exp(r)+1)/(exp(r)-1) = 2 + r*r/6 - r**4/360 + ... + * We use a special Remes algorithm on [0,0.34658] to generate + * a polynomial of degree 5 to approximate R. The maximum error + * of this polynomial approximation is bounded by 2**-59. In + * other words, + * R(z) ~ 2.0 + P1*z + P2*z**2 + P3*z**3 + P4*z**4 + P5*z**5 + * (where z=r*r, and the values of P1 to P5 are listed below) + * and + * | 5 | -59 + * | 2.0+P1*z+...+P5*z - R(z) | <= 2 + * | | + * The computation of exp(r) thus becomes + * 2*r + * exp(r) = 1 + ------- + * R - r + * r*R1(r) + * = 1 + r + ----------- (for better accuracy) + * 2 - R1(r) + * where + * 2 4 10 + * R1(r) = r - (P1*r + P2*r + ... + P5*r ). + * + * 3. Scale back to obtain exp(x): + * From step 1, we have + * exp(x) = 2^k * exp(r) + * + * Special cases: + * exp(INF) is INF, exp(NaN) is NaN; + * exp(-INF) is 0, and + * for finite argument, only exp(0)=1 is exact. + * + * Accuracy: + * according to an error analysis, the error is always less than + * 1 ulp (unit in the last place). + * + * Misc. info. + * For IEEE double + * if x > 7.09782712893383973096e+02 then exp(x) overflow + * if x < -7.45133219101941108420e+02 then exp(x) underflow + * + * Constants: + * The hexadecimal values are the intended ones for the following + * constants. The decimal values may be used, provided that the + * compiler will convert from decimal to binary accurately enough + * to produce the hexadecimal values shown. + */ + +package kotlin.math.fdlibm + + +private const val one = 1.0 +private val halF = doubleArrayOf(0.5, -0.5) +private const val huge = 1.0e+300 +private const val twom1000 = 9.33263618503218878990e-302 /* 2**-1000=0x01700000,0*/ +private const val o_threshold = 7.09782712893383973096e+02 /* 0x40862E42, 0xFEFA39EF */ +private const val u_threshold = -7.45133219101941108420e+02 /* 0xc0874910, 0xD52D3051 */ +private val ln2HI = doubleArrayOf( + 6.93147180369123816490e-01, /* 0x3fe62e42, 0xfee00000 */ + -6.93147180369123816490e-01, +)/* 0xbfe62e42, 0xfee00000 */ +private val ln2LO = doubleArrayOf( + 1.90821492927058770002e-10, /* 0x3dea39ef, 0x35793c76 */ + -1.90821492927058770002e-10, +)/* 0xbdea39ef, 0x35793c76 */ +private const val invln2 = 1.44269504088896338700e+00 /* 0x3ff71547, 0x652b82fe */ +private const val P1 = 1.66666666666666019037e-01 /* 0x3FC55555, 0x5555553E */ +private const val P2 = -2.77777777770155933842e-03 /* 0xBF66C16C, 0x16BEBD93 */ +private const val P3 = 6.61375632143793436117e-05 /* 0x3F11566A, 0xAF25DE2C */ +private const val P4 = -1.65339022054652515390e-06 /* 0xBEBBBD41, 0xC5D26BF1 */ +private const val P5 = 4.13813679705723846039e-08 /* 0x3E663769, 0x72BEA4D0 */ + + +internal fun __ieee754_exp(x: Double): Double /* default IEEE double exp */ { + var x: Double = x + var y: Double = 0.0 + var hi: Double = 0.0 + var lo: Double = 0.0 + var c: Double = 0.0 + var t: Double = 0.0 + var k: Int = 0 + var xsb: Int = 0 + var hx: UInt = 0U + + hx = __HIu(x) /* high word of x */ + xsb = ((hx shr 31) and 1U).toInt() /* sign bit of x */ + hx = hx and 0x7fffffffU /* high word of |x| */ + + /* filter out non-finite argument */ + if (hx >= 0x40862E42U) { /* if |x|>=709.78... */ + if (hx >= 0x7ff00000U) { + if (((hx and 0xfffffU) or __LOu(x)) != 0U) + return x + x /* NaN */ + else return if (xsb == 0) x else 0.0 /* exp(+-inf)={inf,0} */ + } + if (x > o_threshold) return huge * huge /* overflow */ + if (x < u_threshold) return twom1000 * twom1000 /* underflow */ + } + + /* argument reduction */ + if (hx > 0x3fd62e42U) { /* if |x| > 0.5 ln2 */ + if (hx < 0x3FF0A2B2U) { /* and |x| < 1.5 ln2 */ + hi = x - ln2HI[xsb]; lo = ln2LO[xsb]; k = 1 - xsb - xsb + } else { + k = (invln2 * x + halF[xsb]).toInt() + t = k.toDouble() + hi = x - t * ln2HI[0] /* t*ln2HI is exact here */ + lo = t * ln2LO[0] + } + x = hi - lo + } else if (hx < 0x3e300000U) { /* when |x|<2**-28 */ + if (huge + x > one) return one + x/* trigger inexact */ + } else k = 0 + + /* x is now in primary range */ + t = x * x + c = x - t * (P1 + t * (P2 + t * (P3 + t * (P4 + t * P5)))) + if (k == 0) return one - ((x * c) / (c - 2.0) - x) + else y = one - ((lo - (x * c) / (2.0 - c)) - hi) + if (k >= -1021) { + y = doubleSetWord(d = y, hi = __HI(y) + (k shl 20)) /* add k to y's exponent */ + return y + } else { + y = doubleSetWord(d = y, hi = __HI(y) + ((k + 1000) shl 20))/* add k to y's exponent */ + return y * twom1000 + } +} diff --git a/libraries/stdlib/wasm/src/kotlin/math/fdlibm/e_hypot.kt b/libraries/stdlib/wasm/src/kotlin/math/fdlibm/e_hypot.kt new file mode 100644 index 00000000000..28ca0c2dfa8 --- /dev/null +++ b/libraries/stdlib/wasm/src/kotlin/math/fdlibm/e_hypot.kt @@ -0,0 +1,125 @@ +/* @(#)e_hypot.c 1.3 95/01/18 */ +/* + * ==================================================== + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * + * Developed at SunSoft, a Sun Microsystems, Inc. business. + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + */ + +/* __ieee754_hypot(x,y) + * + * Method : + * If (assume round-to-nearest) z=x*x+y*y + * has error less than sqrt(2)/2 ulp, than + * sqrt(z) has error less than 1 ulp (exercise). + * + * So, compute sqrt(x*x+y*y) with some care as + * follows to get the error below 1 ulp: + * + * Assume x>y>0; + * (if possible, set rounding to round-to-nearest) + * 1. if x > 2y use + * x1*x1+(y*y+(x2*(x+x1))) for x*x+y*y + * where x1 = x with lower 32 bits cleared, x2 = x-x1; else + * 2. if x <= 2y use + * t1*y1+((x-y)*(x-y)+(t1*y2+t2*y)) + * where t1 = 2x with lower 32 bits cleared, t2 = 2x-t1, + * y1= y with lower 32 bits chopped, y2 = y-y1. + * + * NOTE: scaling may be necessary if some argument is too + * large or too tiny + * + * Special cases: + * hypot(x,y) is INF if x or y is +INF or -INF; else + * hypot(x,y) is NAN if x or y is NAN. + * + * Accuracy: + * hypot(x,y) returns sqrt(x^2+y^2) with error less + * than 1 ulps (units in the last place) + */ + +package kotlin.math.fdlibm + +import kotlin.wasm.internal.wasm_f64_sqrt as sqrt + +internal fun __ieee754_hypot(x: Double, y: Double): Double { + var a = x + var b = y + var t1: Double = 0.0 + var t2: Double = 0.0 + var y1: Double = 0.0 + var y2: Double = 0.0 + var w: Double = 0.0 + var j: Int = 0 + var k: Int = 0 + var ha: Int = 0 + var hb: Int = 0 + + ha = __HI(x) and 0x7fffffff /* high word of x */ + hb = __HI(y) and 0x7fffffff /* high word of y */ + if (hb > ha) { + a = y;b = x;j = ha; ha = hb;hb = j + } else { + a = x;b = y + } + a = doubleSetWord(d = a, hi = ha) /* a <- |a| */ + b = doubleSetWord(d = b, hi = hb) /* b <- |b| */ + if ((ha - hb) > 0x3c00000) { + return a + b + } /* x/y > 2**60 */ + k = 0 + if (ha > 0x5f300000) { /* a>2**500 */ + if (ha >= 0x7ff00000) { /* Inf or NaN */ + w = a + b /* for sNaN */ + if (((ha and 0xfffff) or __LO(a)) == 0) w = a + if (((hb xor 0x7ff00000) or __LO(b)) == 0) w = b + return w + } + /* scale a and b by 2**-600 */ + ha -= 0x25800000; hb -= 0x25800000; k += 600 + a = doubleSetWord(d = a, hi = ha) + b = doubleSetWord(d = b, hi = hb) + } + if (hb < 0x20b00000) { /* b < 2**-500 */ + if (hb <= 0x000fffff) { /* subnormal b or 0 */ + if ((hb or (__LO(b))) == 0) return a + t1 = 0.0 + t1 = doubleSetWord(d = t1, hi = 0x7fd00000) /* t1=2^1022 */ + b *= t1 + a *= t1 + k -= 1022 + } else { /* scale a and b by 2^600 */ + ha += 0x25800000 /* a *= 2^600 */ + hb += 0x25800000 /* b *= 2^600 */ + k -= 600 + a = doubleSetWord(d = a, hi = ha) + b = doubleSetWord(d = b, hi = hb) + } + } + /* medium size a and b */ + w = a - b + if (w > b) { + t1 = 0.0 + t1 = doubleSetWord(d = t1, hi = ha) + t2 = a - t1 + w = sqrt(t1 * t1 - (b * (-b) - t2 * (a + t1))) + } else { + a = a + a + y1 = 0.0 + y1 = doubleSetWord(d = y1, hi = hb) + y2 = b - y1 + t1 = 0.0 + t1 = doubleSetWord(d = t1, hi = ha + 0x00100000) + t2 = a - t1 + w = sqrt(t1 * y1 - (w * (-w) - (t1 * y2 + t2 * b))) + } + if (k != 0) { + t1 = 1.0 + t1 = doubleSetWord(d = t1, hi = __HI(t1) + (k shl 20)) + return t1 * w + } else return w +} diff --git a/libraries/stdlib/wasm/src/kotlin/math/fdlibm/e_log.kt b/libraries/stdlib/wasm/src/kotlin/math/fdlibm/e_log.kt new file mode 100644 index 00000000000..088f087110f --- /dev/null +++ b/libraries/stdlib/wasm/src/kotlin/math/fdlibm/e_log.kt @@ -0,0 +1,144 @@ +/* @(#)e_log.c 1.3 95/01/18 */ +/* + * ==================================================== + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * + * Developed at SunSoft, a Sun Microsystems, Inc. business. + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + */ + +/* __ieee754_log(x) + * Return the logrithm of x + * + * Method : + * 1. Argument Reduction: find k and f such that + * x = 2^k * (1+f), + * where sqrt(2)/2 < 1+f < sqrt(2) . + * + * 2. Approximation of log(1+f). + * Let s = f/(2+f) ; based on log(1+f) = log(1+s) - log(1-s) + * = 2s + 2/3 s**3 + 2/5 s**5 + ....., + * = 2s + s*R + * We use a special Reme algorithm on [0,0.1716] to generate + * a polynomial of degree 14 to approximate R The maximum error + * of this polynomial approximation is bounded by 2**-58.45. In + * other words, + * 2 4 6 8 10 12 14 + * R(z) ~ Lg1*s +Lg2*s +Lg3*s +Lg4*s +Lg5*s +Lg6*s +Lg7*s + * (the values of Lg1 to Lg7 are listed in the program) + * and + * | 2 14 | -58.45 + * | Lg1*s +...+Lg7*s - R(z) | <= 2 + * | | + * Note that 2s = f - s*f = f - hfsq + s*hfsq, where hfsq = f*f/2. + * In order to guarantee error in log below 1ulp, we compute log + * by + * log(1+f) = f - s*(f - R) (if f is not too large) + * log(1+f) = f - (hfsq - s*(hfsq+R)). (better accuracy) + * + * 3. Finally, log(x) = k*ln2 + log(1+f). + * = k*ln2_hi+(f-(hfsq-(s*(hfsq+R)+k*ln2_lo))) + * Here ln2 is split into two floating point number: + * ln2_hi + ln2_lo, + * where n*ln2_hi is always exact for |n| < 2000. + * + * Special cases: + * log(x) is NaN with signal if x < 0 (including -INF) ; + * log(+INF) is +INF; log(0) is -INF with signal; + * log(NaN) is that NaN with no signal. + * + * Accuracy: + * according to an error analysis, the error is always less than + * 1 ulp (unit in the last place). + * + * Constants: + * The hexadecimal values are the intended ones for the following + * constants. The decimal values may be used, provided that the + * compiler will convert from decimal to binary accurately enough + * to produce the hexadecimal values shown. + */ + +package kotlin.math.fdlibm + + +private const val ln2_hi = 6.93147180369123816490e-01 /* 3fe62e42 fee00000 */ +private const val ln2_lo = 1.90821492927058770002e-10 /* 3dea39ef 35793c76 */ +private const val two54 = 1.80143985094819840000e+16 /* 43500000 00000000 */ +private const val Lg1 = 6.666666666666735130e-01 /* 3FE55555 55555593 */ +private const val Lg2 = 3.999999999940941908e-01 /* 3FD99999 9997FA04 */ +private const val Lg3 = 2.857142874366239149e-01 /* 3FD24924 94229359 */ +private const val Lg4 = 2.222219843214978396e-01 /* 3FCC71C5 1D8E78AF */ +private const val Lg5 = 1.818357216161805012e-01 /* 3FC74664 96CB03DE */ +private const val Lg6 = 1.531383769920937332e-01 /* 3FC39A09 D078C69F */ +private const val Lg7 = 1.479819860511658591e-01 /* 3FC2F112 DF3E5244 */ + +private const val zero = 0.0 + +internal fun __ieee754_log(x: Double): Double { + var x: Double = x + var hfsq: Double = 0.0 + var f: Double = 0.0 + var s: Double = 0.0 + var z: Double = 0.0 + var R: Double = 0.0 + var w: Double = 0.0 + var t1: Double = 0.0 + var t2: Double = 0.0 + var dk: Double = 0.0 + var k: Int = 0 + var hx: Int = 0 + var i: Int = 0 + var j: Int = 0 + var lx: UInt = 0U + + hx = __HI(x) /* high word of x */ + lx = __LOu(x) /* low word of x */ + + k = 0 + if (hx < 0x00100000) { /* x < 2**-1022 */ + if (((hx and 0x7fffffff) or lx.toInt()) == 0) + return -two54 / zero /* log(+-0)=-inf */ + if (hx < 0) return (x - x) / zero /* log(-#) = NaN */ + k -= 54; x *= two54 /* subnormal number, scale up x */ + hx = __HI(x) /* high word of x */ + } + if (hx >= 0x7ff00000) return x + x + k += (hx shr 20) - 1023 + hx = hx and 0x000fffff + i = (hx + 0x95f64) and 0x100000 + x = doubleSetWord(d = x, hi = hx or (i xor 0x3ff00000)) /* normalize x or x/2 */ + k += (i shr 20) + f = x - 1.0 + if ((0x000fffff and (2 + hx)) < 3) { /* |f| < 2**-20 */ + if (f == zero) if (k == 0) return zero; else { + dk = k.toDouble() + return dk * ln2_hi + dk * ln2_lo + } + R = f * f * (0.5 - 0.33333333333333333 * f) + if (k == 0) return f - R; else { + dk = k.toDouble() + return dk * ln2_hi - ((R - dk * ln2_lo) - f) + } + } + s = f / (2.0 + f) + dk = k.toDouble() + z = s * s + i = hx - 0x6147a + w = z * z + j = 0x6b851 - hx + t1 = w * (Lg2 + w * (Lg4 + w * Lg6)) + t2 = z * (Lg1 + w * (Lg3 + w * (Lg5 + w * Lg7))) + i = i or j + R = t2 + t1 + if (i > 0) { + hfsq = 0.5 * f * f + if (k == 0) return f - (hfsq - s * (hfsq + R)); else + return dk * ln2_hi - ((hfsq - (s * (hfsq + R) + dk * ln2_lo)) - f) + } else { + if (k == 0) return f - s * (f - R); else + return dk * ln2_hi - ((s * (f - R) - dk * ln2_lo) - f) + } +} diff --git a/libraries/stdlib/wasm/src/kotlin/math/fdlibm/e_log10.kt b/libraries/stdlib/wasm/src/kotlin/math/fdlibm/e_log10.kt new file mode 100644 index 00000000000..eb12e34fd8f --- /dev/null +++ b/libraries/stdlib/wasm/src/kotlin/math/fdlibm/e_log10.kt @@ -0,0 +1,83 @@ +/* @(#)e_log10.c 1.3 95/01/18 */ +/* + * ==================================================== + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * + * Developed at SunSoft, a Sun Microsystems, Inc. business. + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + */ + +/* __ieee754_log10(x) + * Return the base 10 logarithm of x + * + * Method : + * Let log10_2hi = leading 40 bits of log10(2) and + * log10_2lo = log10(2) - log10_2hi, + * ivln10 = 1/log(10) rounded. + * Then + * n = ilogb(x), + * if(n<0) n = n+1; + * x = scalbn(x,-n); + * log10(x) := n*log10_2hi + (n*log10_2lo + ivln10*log(x)) + * + * Note 1: + * To guarantee log10(10**n)=n, where 10**n is normal, the rounding + * mode must set to Round-to-Nearest. + * Note 2: + * [1/log(10)] rounded to 53 bits has error .198 ulps; + * log10 is monotonic at all binary break points. + * + * Special cases: + * log10(x) is NaN with signal if x < 0; + * log10(+INF) is +INF with no signal; log10(0) is -INF with signal; + * log10(NaN) is that NaN with no signal; + * log10(10**N) = N for N=0,1,...,22. + * + * Constants: + * The hexadecimal values are the intended ones for the following constants. + * The decimal values may be used, provided that the compiler will convert + * from decimal to binary accurately enough to produce the hexadecimal values + * shown. + */ + +package kotlin.math.fdlibm + +private const val two54 = 1.80143985094819840000e+16 /* 0x43500000, 0x00000000 */ +private const val ivln10 = 4.34294481903251816668e-01 /* 0x3FDBCB7B, 0x1526E50E */ +private const val log10_2hi = 3.01029995663611771306e-01 /* 0x3FD34413, 0x509F6000 */ +private const val log10_2lo = 3.69423907715893078616e-13 /* 0x3D59FEF3, 0x11F12B36 */ + +private const val zero = 0.0 + +internal fun __ieee754_log10(x: Double): Double { + var x: Double = x + var y: Double = 0.0 + var z: Double = 0.0 + var i: Int = 0 + var k: Int = 0 + var hx: Int = 0 + var lx: UInt = 0U + + hx = __HI(x) /* high word of x */ + lx = __LOu(x) /* low word of x */ + + k = 0 + if (hx < 0x00100000) { /* x < 2**-1022 */ + if (((hx and 0x7fffffff) or lx.toInt()) == 0) + return -two54 / zero /* log(+-0)=-inf */ + if (hx < 0) return (x - x) / zero /* log(-#) = NaN */ + k -= 54; x *= two54 /* subnormal number, scale up x */ + hx = __HI(x) /* high word of x */ + } + if (hx >= 0x7ff00000) return x + x + k += (hx shr 20) - 1023 + i = ((k.toUInt() and Int.MIN_VALUE.toUInt()) shr 31).toInt() + hx = (hx and 0x000fffff) or ((0x3ff - i) shl 20) + y = (k + i).toDouble() + x = doubleSetWord(d = x, hi = hx) + z = y * log10_2lo + ivln10 * __ieee754_log(x) + return z + y * log10_2hi +} diff --git a/libraries/stdlib/wasm/src/kotlin/math/fdlibm/e_log2.kt b/libraries/stdlib/wasm/src/kotlin/math/fdlibm/e_log2.kt new file mode 100644 index 00000000000..1cb2eb1e7ec --- /dev/null +++ b/libraries/stdlib/wasm/src/kotlin/math/fdlibm/e_log2.kt @@ -0,0 +1,72 @@ +/* @(#)e_log2.c 1.3 95/01/18 */ +/* + * ==================================================== + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * + * Developed at SunSoft, a Sun Microsystems, Inc. business. + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + */ + +/* __ieee754_log2(x) + * Return the base 2 logarithm of x + * + * Method : + * Let ivln2 = 1/log(2) rounded. + * Then + * n = ilogb(x), + * if(n<0) n = n+1; + * x = scalbn(x,-n); + * log2(x) := n + ivln2*log(x) + * + * Special cases: + * log2(x) is NaN with signal if x < 0; + * log2(+INF) is +INF with no signal; log2(0) is -INF with signal; + * log2(NaN) is that NaN with no signal; + * log2(2**N) = N for N=−1022 to +1023. + * + * Constants: + * The hexadecimal values are the intended ones for the following constants. + * The decimal values may be used, provided that the compiler will convert + * from decimal to binary accurately enough to produce the hexadecimal values + * shown. + */ + +package kotlin.math.fdlibm + +private const val two54 = 1.80143985094819840000e+16 /* 0x43500000, 0x00000000 */ +private const val ivln2 = 0.14426950408889634073e+01 /* 0x3ff71547, 0x652b82fe */ + +private const val zero = 0.0 + +internal fun __ieee754_log2(x: Double): Double { + var x: Double = x + var y: Double = 0.0 + var z: Double = 0.0 + var i: Int = 0 + var k: Int = 0 + var hx: Int = 0 + var lx: UInt = 0U + + hx = __HI(x) /* high word of x */ + lx = __LOu(x) /* low word of x */ + + k = 0 + if (hx < 0x00100000) { /* x < 2**-1022 */ + if (((hx and 0x7fffffff) or lx.toInt()) == 0) + return -two54 / zero /* log(+-0)=-inf */ + if (hx < 0) return (x - x) / zero /* log(-#) = NaN */ + k -= 54; x *= two54 /* subnormal number, scale up x */ + hx = __HI(x) /* high word of x */ + } + if (hx >= 0x7ff00000) return x + x + k += (hx shr 20) - 1023 + i = ((k.toUInt() and Int.MIN_VALUE.toUInt()) shr 31).toInt() + hx = (hx and 0x000fffff) or ((0x3ff - i) shl 20) + y = (k + i).toDouble() + x = doubleSetWord(d = x, hi = hx) + z = y + ivln2 * __ieee754_log(x) + return z +} diff --git a/libraries/stdlib/wasm/src/kotlin/math/fdlibm/e_pow.kt b/libraries/stdlib/wasm/src/kotlin/math/fdlibm/e_pow.kt new file mode 100644 index 00000000000..43fa366e936 --- /dev/null +++ b/libraries/stdlib/wasm/src/kotlin/math/fdlibm/e_pow.kt @@ -0,0 +1,333 @@ +//#ifndef lint +//static char sccsid[] = "@(#)e_pow.c 1.5 04/04/22 SMI"; +//#endif + +/* + * ==================================================== + * Copyright (C) 2004 by Sun Microsystems, Inc. All rights reserved. + * + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + */ + +/* __ieee754_pow(x,y) return x**y + * + * n + * Method: Let x = 2 * (1+f) + * 1. Compute and return log2(x) in two pieces: + * log2(x) = w1 + w2, + * where w1 has 53-24 = 29 bit trailing zeros. + * 2. Perform y*log2(x) = n+y' by simulating muti-precision + * arithmetic, where |y'|<=0.5. + * 3. Return x**y = 2**n*exp(y'*log2) + * + * Special cases: + * 1. (anything) ** 0 is 1 + * 2. (anything) ** 1 is itself + * 3. (anything) ** NAN is NAN + * 4. NAN ** (anything except 0) is NAN + * 5. +-(|x| > 1) ** +INF is +INF + * 6. +-(|x| > 1) ** -INF is +0 + * 7. +-(|x| < 1) ** +INF is +0 + * 8. +-(|x| < 1) ** -INF is +INF + * 9. +-1 ** +-INF is NAN + * 10. +0 ** (+anything except 0, NAN) is +0 + * 11. -0 ** (+anything except 0, NAN, odd integer) is +0 + * 12. +0 ** (-anything except 0, NAN) is +INF + * 13. -0 ** (-anything except 0, NAN, odd integer) is +INF + * 14. -0 ** (odd integer) = -( +0 ** (odd integer) ) + * 15. +INF ** (+anything except 0,NAN) is +INF + * 16. +INF ** (-anything except 0,NAN) is +0 + * 17. -INF ** (anything) = -0 ** (-anything) + * 18. (-anything) ** (integer) is (-1)**(integer)*(+anything**integer) + * 19. (-anything except 0 and inf) ** (non-integer) is NAN + * + * Accuracy: + * pow(x,y) returns x**y nearly rounded. In particular + * pow(integer,integer) + * always returns the correct integer provided it is + * representable. + * + * Constants : + * The hexadecimal values are the intended ones for the following + * constants. The decimal values may be used, provided that the + * compiler will convert from decimal to binary accurately enough + * to produce the hexadecimal values shown. + */ + +package kotlin.math.fdlibm + +import kotlin.wasm.internal.wasm_f64_sqrt as sqrt + +private val bp = doubleArrayOf(1.0, 1.5) +private val dp_h = doubleArrayOf(0.0, 5.84962487220764160156e-01) /* 0x3FE2B803, 0x40000000 */ +private val dp_l = doubleArrayOf(0.0, 1.35003920212974897128e-08) /* 0x3E4CFDEB, 0x43CFD006 */ +private const val zero = 0.0 +private const val one = 1.0 +private const val two = 2.0 +private const val two53 = 9007199254740992.0 /* 0x43400000, 0x00000000 */ +private const val huge = 1.0e300 +private const val tiny = 1.0e-300 + +/* poly coefs for (3/2)*(log(x)-2s-2/3*s**3 */ +private const val L1 = 5.99999999999994648725e-01 /* 0x3FE33333, 0x33333303 */ +private const val L2 = 4.28571428578550184252e-01 /* 0x3FDB6DB6, 0xDB6FABFF */ +private const val L3 = 3.33333329818377432918e-01 /* 0x3FD55555, 0x518F264D */ +private const val L4 = 2.72728123808534006489e-01 /* 0x3FD17460, 0xA91D4101 */ +private const val L5 = 2.30660745775561754067e-01 /* 0x3FCD864A, 0x93C9DB65 */ +private const val L6 = 2.06975017800338417784e-01 /* 0x3FCA7E28, 0x4A454EEF */ +private const val P1 = 1.66666666666666019037e-01 /* 0x3FC55555, 0x5555553E */ +private const val P2 = -2.77777777770155933842e-03 /* 0xBF66C16C, 0x16BEBD93 */ +private const val P3 = 6.61375632143793436117e-05 /* 0x3F11566A, 0xAF25DE2C */ +private const val P4 = -1.65339022054652515390e-06 /* 0xBEBBBD41, 0xC5D26BF1 */ +private const val P5 = 4.13813679705723846039e-08 /* 0x3E663769, 0x72BEA4D0 */ +private const val lg2 = 6.93147180559945286227e-01 /* 0x3FE62E42, 0xFEFA39EF */ +private const val lg2_h = 6.93147182464599609375e-01 /* 0x3FE62E43, 0x00000000 */ +private const val lg2_l = -1.90465429995776804525e-09 /* 0xBE205C61, 0x0CA86C39 */ +private const val ovt = 8.0085662595372944372e-0017 /* -(1024-log2(ovfl+.5ulp)) */ +private const val cp = 9.61796693925975554329e-01 /* 0x3FEEC709, 0xDC3A03FD =2/(3ln2) */ +private const val cp_h = 9.61796700954437255859e-01 /* 0x3FEEC709, 0xE0000000 =(float)cp */ +private const val cp_l = -7.02846165095275826516e-09 /* 0xBE3E2FE0, 0x145B01F5 =tail of cp_h*/ +private const val ivln2 = 1.44269504088896338700e+00 /* 0x3FF71547, 0x652B82FE =1/ln2 */ +private const val ivln2_h = 1.44269502162933349609e+00 /* 0x3FF71547, 0x60000000 =24b 1/ln2*/ +private const val ivln2_l = 1.92596299112661746887e-08 /* 0x3E54AE0B, 0xF85DDF44 =1/ln2 tail*/ + +internal fun __ieee754_pow(x: Double, y: Double): Double { + var z: Double = 0.0 + var ax: Double = 0.0 + var z_h: Double = 0.0 + var z_l: Double = 0.0 + var p_h: Double = 0.0 + var p_l: Double = 0.0 + var y1: Double = 0.0 + var t1: Double = 0.0 + var t2: Double = 0.0 + var r: Double = 0.0 + var s: Double = 0.0 + var t: Double = 0.0 + var u: Double = 0.0 + var v: Double = 0.0 + var w: Double = 0.0 + var i0: Int = 0 + var i1: Int = 0 + var i: Int = 0 + var j: Int = 0 + var k: Int = 0 + var yisint: Int = 0 + var n = 0 + var hx: Int = 0 + var hy: Int = 0 + var ix: Int = 0 + var iy: Int = 0 + var lx: UInt = 0U + var ly: UInt = 0U + + //i0 = ((*(int*)&one)>>29)^1 + i0 = 1 + i1 = 1 - i0 + hx = __HI(x); lx = __LO(x).toUInt() + hy = __HI(y); ly = __LO(y).toUInt() + ix = hx and 0x7fffffff; iy = hy and 0x7fffffff + + /* y==zero: x**0 = 1 */ + if ((iy or ly.toInt()) == 0) return one + + /* +-NaN return x+y */ + if (ix > 0x7ff00000 || ((ix == 0x7ff00000) && (lx != 0U)) || + iy > 0x7ff00000 || ((iy == 0x7ff00000) && (ly != 0U)) + ) + return x + y + + /* determine if y is an odd int when x < 0 + * yisint = 0 ... y is not an integer + * yisint = 1 ... y is an odd int + * yisint = 2 ... y is an even int + */ + yisint = 0 + if (hx < 0) { + if (iy >= 0x43400000) yisint = 2 /* even integer y */ + else if (iy >= 0x3ff00000) { + k = (iy shr 20) - 0x3ff /* exponent */ + if (k > 20) { + j = (ly shr (52 - k)).toInt() + if ((j shl (52 - k)) == ly.toInt()) yisint = 2 - (j and 1) + } else if (ly == 0U) { + j = iy shr (20 - k) + if ((j shl (20 - k)) == iy) yisint = 2 - (j and 1) + } + } + } + + /* special value of y */ + if (ly == 0U) { + if (iy == 0x7ff00000) { /* y is +-inf */ + if (((ix - 0x3ff00000) or lx.toInt()) == 0) + return y - y /* inf**+-1 is NaN */ + else if (ix >= 0x3ff00000)/* (|x|>1)**+-inf = inf,0 */ + return if (hy >= 0) y else zero + else /* (|x|<1)**-,+inf = inf,0 */ + return if (hy < 0) -y else zero + } + if (iy == 0x3ff00000) { /* y is +-1 */ + if (hy < 0) return one / x; else return x + } + if (hy == 0x40000000) return x * x /* y is 2 */ + if (hy == 0x3fe00000) { /* y is 0.5 */ + if (hx >= 0) /* x >= +0 */ + return sqrt(x) + } + } + + ax = fabs(x) + /* special value of x */ + if (lx == 0U) { + if (ix == 0x7ff00000 || ix == 0 || ix == 0x3ff00000) { + z = ax /*x is +-0,+-inf,+-1*/ + if (hy < 0) z = one / z /* z = (1/|x|) */ + if (hx < 0) { + if (((ix - 0x3ff00000) or yisint) == 0) { + z = (z - z) / (z - z) /* (-1)**non-int is NaN */ + } else if (yisint == 1) + z = -z /* (x<0)**odd = -(|x|**odd) */ + } + return z + } + } + + n = (hx shr 31) + 1 + + /* (x<0)**(non-int) is NaN */ + if ((n or yisint) == 0) return (x - x) / (x - x) + + s = one /* s (sign of result -ve**odd) = -1 else = 1 */ + if ((n or (yisint - 1)) == 0) s = -one/* (-ve)**(odd int) */ + + /* |y| is huge */ + if (iy > 0x41e00000) { /* if |y| > 2**31 */ + if (iy > 0x43f00000) { /* if |y| > 2**64, must o/uflow */ + if (ix <= 0x3fefffff) return if (hy < 0) huge * huge else tiny * tiny + if (ix >= 0x3ff00000) return if (hy > 0) huge * huge else tiny * tiny + } + /* over/underflow if x is not close to one */ + if (ix < 0x3fefffff) return if (hy < 0) s * huge * huge else s * tiny * tiny + if (ix > 0x3ff00000) return if (hy > 0) s * huge * huge else s * tiny * tiny + /* now |1-x| is tiny <= 2**-20, suffice to compute + log(x) by x-x^2/2+x^3/3-x^4/4 */ + t = ax - one /* t has 20 trailing zeros */ + w = (t * t) * (0.5 - t * (0.3333333333333333333333 - t * 0.25)) + u = ivln2_h * t /* ivln2_h has 21 sig. bits */ + v = t * ivln2_l - w * ivln2 + t1 = u + v + t1 = doubleSetWord(d = t1, lo = 0) + t2 = v - (t1 - u) + } else { + var ss: Double = 0.0 + var s2: Double = 0.0 + var s_h: Double = 0.0 + var s_l: Double = 0.0 + var t_h: Double = 0.0 + var t_l: Double = 0.0 + n = 0 + /* take care subnormal number */ + if (ix < 0x00100000) { + ax *= two53; n -= 53; ix = __HI(ax); } + n += ((ix) shr 20) - 0x3ff + j = ix and 0x000fffff + /* determine interval */ + ix = j or 0x3ff00000 /* normalize ix */ + if (j <= 0x3988E) k = 0 /* |x|= 0x40900000) { /* z >= 1024 */ + if (((j - 0x40900000) or i) != 0) /* if z > 1024 */ + return s * huge * huge /* overflow */ + else { + if (p_l + ovt > z - p_h) return s * huge * huge /* overflow */ + } + } else if ((j and 0x7fffffff) >= 0x4090cc00) { /* z <= -1075 */ + if (((j - 0xc090cc00) or i.toLong()) != 0L) /* z < -1075 */ + return s * tiny * tiny /* underflow */ + else { + if (p_l <= z - p_h) return s * tiny * tiny /* underflow */ + } + } + /* + * compute 2**(p_h+p_l) + */ + i = j and 0x7fffffff + k = (i shr 20) - 0x3ff + n = 0 + if (i > 0x3fe00000) { /* if |z| > 0.5, set n = [z+0.5] */ + n = j + (0x00100000 shr (k + 1)) + k = ((n and 0x7fffffff) shr 20) - 0x3ff /* new k for n */ + t = zero + t = doubleSetWord(d = t, hi = (n and (0x000fffff shr k).inv())) + n = ((n and 0x000fffff) or 0x00100000) shr (20 - k) + if (j < 0) n = -n + p_h -= t + } + t = p_l + p_h + t = doubleSetWord(d = t, lo = 0) + u = t * lg2_h + v = (p_l - (t - p_h)) * lg2 + t * lg2_l + z = u + v + w = v - (z - u) + t = z * z + t1 = z - t * (P1 + t * (P2 + t * (P3 + t * (P4 + t * P5)))) + r = (z * t1) / (t1 - two) - (w + z * w) + z = one - (r - z) + j = __HI(z) + j += (n shl 20) + if ((j shr 20) <= 0) z = scalbn(z, n) /* subnormal output */ + else z = doubleSetWord(d = z, hi = __HI(z) + (n shl 20)) + return s * z +} \ No newline at end of file diff --git a/libraries/stdlib/wasm/src/kotlin/math/fdlibm/e_rem_pio2.kt b/libraries/stdlib/wasm/src/kotlin/math/fdlibm/e_rem_pio2.kt new file mode 100644 index 00000000000..42440aa1148 --- /dev/null +++ b/libraries/stdlib/wasm/src/kotlin/math/fdlibm/e_rem_pio2.kt @@ -0,0 +1,175 @@ +/* @(#)e_rem_pio2.c 1.4 95/01/18 */ +/* + * ==================================================== + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * + * Developed at SunSoft, a Sun Microsystems, Inc. business. + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + * + */ + +/* __ieee754_rem_pio2(x,y) + * + * return the remainder of x rem pi/2 in y[0]+y[1] + * use __kernel_rem_pio2() + */ + +package kotlin.math.fdlibm + +/* + * Table of constants for 2/pi, 396 Hex digits (476 decimal) of 2/pi + */ +private val two_over_pi = intArrayOf( + 0xA2F983, 0x6E4E44, 0x1529FC, 0x2757D1, 0xF534DD, 0xC0DB62, + 0x95993C, 0x439041, 0xFE5163, 0xABDEBB, 0xC561B7, 0x246E3A, + 0x424DD2, 0xE00649, 0x2EEA09, 0xD1921C, 0xFE1DEB, 0x1CB129, + 0xA73EE8, 0x8235F5, 0x2EBB44, 0x84E99C, 0x7026B4, 0x5F7E41, + 0x3991D6, 0x398353, 0x39F49C, 0x845F8B, 0xBDF928, 0x3B1FF8, + 0x97FFDE, 0x05980F, 0xEF2F11, 0x8B5A0A, 0x6D1F6D, 0x367ECF, + 0x27CB09, 0xB74F46, 0x3F669E, 0x5FEA2D, 0x7527BA, 0xC7EBE5, + 0xF17B3D, 0x0739F7, 0x8A5292, 0xEA6BFB, 0x5FB11F, 0x8D5D08, + 0x560330, 0x46FC7B, 0x6BABF0, 0xCFBC20, 0x9AF436, 0x1DA9E3, + 0x91615E, 0xE61B08, 0x659985, 0x5F14A0, 0x68408D, 0xFFD880, + 0x4D7327, 0x310606, 0x1556CA, 0x73A8C9, 0x60E27B, 0xC08C6B, +) + +private val npio2_hw = intArrayOf( + 0x3FF921FB, 0x400921FB, 0x4012D97C, 0x401921FB, 0x401F6A7A, 0x4022D97C, + 0x4025FDBB, 0x402921FB, 0x402C463A, 0x402F6A7A, 0x4031475C, 0x4032D97C, + 0x40346B9C, 0x4035FDBB, 0x40378FDB, 0x403921FB, 0x403AB41B, 0x403C463A, + 0x403DD85A, 0x403F6A7A, 0x40407E4C, 0x4041475C, 0x4042106C, 0x4042D97C, + 0x4043A28C, 0x40446B9C, 0x404534AC, 0x4045FDBB, 0x4046C6CB, 0x40478FDB, + 0x404858EB, 0x404921FB, +) + +/* + * invpio2: 53 bits of 2/pi + * pio2_1: first 33 bit of pi/2 + * pio2_1t: pi/2 - pio2_1 + * pio2_2: second 33 bit of pi/2 + * pio2_2t: pi/2 - (pio2_1+pio2_2) + * pio2_3: third 33 bit of pi/2 + * pio2_3t: pi/2 - (pio2_1+pio2_2+pio2_3) + */ + + +private const val zero = 0.00000000000000000000e+00 /* 0x00000000, 0x00000000 */ +private const val half = 5.00000000000000000000e-01 /* 0x3FE00000, 0x00000000 */ +private const val two24 = 1.67772160000000000000e+07 /* 0x41700000, 0x00000000 */ +private const val invpio2 = 6.36619772367581382433e-01 /* 0x3FE45F30, 0x6DC9C883 */ +private const val pio2_1 = 1.57079632673412561417e+00 /* 0x3FF921FB, 0x54400000 */ +private const val pio2_1t = 6.07710050650619224932e-11 /* 0x3DD0B461, 0x1A626331 */ +private const val pio2_2 = 6.07710050630396597660e-11 /* 0x3DD0B461, 0x1A600000 */ +private const val pio2_2t = 2.02226624879595063154e-21 /* 0x3BA3198A, 0x2E037073 */ +private const val pio2_3 = 2.02226624871116645580e-21 /* 0x3BA3198A, 0x2E000000 */ +private const val pio2_3t = 8.47842766036889956997e-32 /* 0x397B839A, 0x252049C1 */ + +internal fun __ieee754_rem_pio2(x: Double, y: DoubleArray): Int { + var z: Double = 0.0 + var w: Double = 0.0 + var t: Double = 0.0 + var r: Double = 0.0 + var fn: Double = 0.0 + val tx: DoubleArray = DoubleArray(3) + var e0: Int = 0 + var i: Int = 0 + var j: Int = 0 + var nx: Int = 0 + var n: Int = 0 + var ix: Int = 0 + var hx: Int = 0 + + hx = __HI(x) /* high word of x */ + ix = hx and 0x7fffffff + if (ix <= 0x3fe921fb) /* |x| ~<= pi/4 , no need for reduction */ { + y[0] = x; y[1] = 0.0; return 0 + } + if (ix < 0x4002d97c) { /* |x| < 3pi/4, special case with n=+-1 */ + if (hx > 0) { + z = x - pio2_1 + if (ix != 0x3ff921fb) { /* 33+53 bit pi is good enough */ + y[0] = z - pio2_1t + y[1] = (z - y[0]) - pio2_1t + } else { /* near pi/2, use 33+33+53 bit pi */ + z -= pio2_2 + y[0] = z - pio2_2t + y[1] = (z - y[0]) - pio2_2t + } + return 1 + } else { /* negative x */ + z = x + pio2_1 + if (ix != 0x3ff921fb) { /* 33+53 bit pi is good enough */ + y[0] = z + pio2_1t + y[1] = (z - y[0]) + pio2_1t + } else { /* near pi/2, use 33+33+53 bit pi */ + z += pio2_2 + y[0] = z + pio2_2t + y[1] = (z - y[0]) + pio2_2t + } + return -1 + } + } + if (ix <= 0x413921fb) { /* |x| ~<= 2^19*(pi/2), medium size */ + t = fabs(x) + n = (t * invpio2 + half).toInt() + fn = n.toDouble() + r = t - fn * pio2_1 + w = fn * pio2_1t /* 1st round good to 85 bit */ + if (n < 32 && ix != npio2_hw[n - 1]) { + y[0] = r - w /* quick check no cancellation */ + } else { + j = ix shr 20 + y[0] = r - w + i = j - (((__HI(y[0])) shr 20) and 0x7ff) + if (i > 16) { /* 2nd iteration needed, good to 118 */ + t = r + w = fn * pio2_2 + r = t - w + w = fn * pio2_2t - ((t - r) - w) + y[0] = r - w + i = j - (((__HI(y[0])) shr 20) and 0x7ff) + if (i > 49) { /* 3rd iteration need, 151 bits acc */ + t = r /* will cover all possible cases */ + w = fn * pio2_3 + r = t - w + w = fn * pio2_3t - ((t - r) - w) + y[0] = r - w + } + } + } + y[1] = (r - y[0]) - w + if (hx < 0) { + y[0] = -y[0]; y[1] = -y[1]; return -n + } else return n + } + /* + * all other (large) arguments + */ + if (ix >= 0x7ff00000) { /* x is inf or NaN */ + y[1] = x - x + y[0] = y[1]; return 0 + } + /* set z = scalbn(|x|,ilogb(x)-23) */ + z = doubleSetWord(d = z, lo = __LO(x)) + e0 = (ix shr 20) - 1046 /* e0 = ilogb(z)-23; */ + z = doubleSetWord(d = z, hi = ix - (e0 shl 20)) + //for(i=0;i<2;i++) { + i = 0 + while (i < 2) { + tx[i] = (z.toInt()).toDouble() + z = (z - tx[i]) * two24 + //-- + i++ + } + tx[2] = z + nx = 3 + while (tx[nx - 1] == zero) nx-- /* skip zero term */ + n = __kernel_rem_pio2(tx, y, e0, nx, 2, two_over_pi) + if (hx < 0) { + y[0] = -y[0]; y[1] = -y[1]; return -n + } + return n +} diff --git a/libraries/stdlib/wasm/src/kotlin/math/fdlibm/e_sinh.kt b/libraries/stdlib/wasm/src/kotlin/math/fdlibm/e_sinh.kt new file mode 100644 index 00000000000..7bba9228e41 --- /dev/null +++ b/libraries/stdlib/wasm/src/kotlin/math/fdlibm/e_sinh.kt @@ -0,0 +1,75 @@ +/* @(#)e_sinh.c 1.3 95/01/18 */ +/* + * ==================================================== + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * + * Developed at SunSoft, a Sun Microsystems, Inc. business. + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + */ + +/* __ieee754_sinh(x) + * Method : + * mathematically sinh(x) if defined to be (exp(x)-exp(-x))/2 + * 1. Replace x by |x| (sinh(-x) = -sinh(x)). + * 2. + * E + E/(E+1) + * 0 <= x <= 22 : sinh(x) := --------------, E=expm1(x) + * 2 + * + * 22 <= x <= lnovft : sinh(x) := exp(x)/2 + * lnovft <= x <= ln2ovft: sinh(x) := exp(x/2)/2 * exp(x/2) + * ln2ovft < x : sinh(x) := x*shuge (overflow) + * + * Special cases: + * sinh(x) is |x| if x is +INF, -INF, or NaN. + * only sinh(0)=0 is exact for finite x. + */ + +package kotlin.math.fdlibm + +private const val one = 1.0 +private const val shuge = 1.0e307 +internal fun __ieee754_sinh(x: Double): Double { + var t: Double = 0.0 + var w: Double = 0.0 + var h: Double = 0.0 + var ix: Int = 0 + var jx: Int = 0 + var lx: UInt = 0U + + /* High word of |x|. */ + jx = __HI(x) + ix = jx and 0x7fffffff + + /* x is INF or NaN */ + if (ix >= 0x7ff00000) return x + x + + h = 0.5 + if (jx < 0) h = -h + /* |x| in [0,22], return sign(x)*0.5*(E+E/(E+1))) */ + if (ix < 0x40360000) { /* |x|<22 */ + if (ix < 0x3e300000) /* |x|<2**-28 */ + if (shuge + x > one) return x/* sinh(tiny) = tiny with inexact */ + t = expm1(fabs(x)) + if (ix < 0x3ff00000) return h * (2.0 * t - t * t / (t + one)) + return h * (t + t / (t + one)) + } + + /* |x| in [22, log(maxdouble)] return 0.5*exp(|x|) */ + if (ix < 0x40862E42) return h * __ieee754_exp(fabs(x)) + + /* |x| in [log(maxdouble), overflowthresold] */ + //lx = *( (((*(unsigned*)&one) shr 29)) + (unsigned*)&x); + lx = (x.toBits() and 0xFFFFFFFF).toUInt() + if (ix < 0x408633CE || (ix == 0x408633ce) && (lx <= 0x8fb9f87d.toUInt())) { + w = __ieee754_exp(0.5 * fabs(x)) + t = h * w + return t * w + } + + /* |x| > overflowthresold, sinh(x) overflow */ + return x * shuge +} diff --git a/libraries/stdlib/wasm/src/kotlin/math/fdlibm/k_cos.kt b/libraries/stdlib/wasm/src/kotlin/math/fdlibm/k_cos.kt new file mode 100644 index 00000000000..1a22b125636 --- /dev/null +++ b/libraries/stdlib/wasm/src/kotlin/math/fdlibm/k_cos.kt @@ -0,0 +1,85 @@ +/* @(#)k_cos.c 1.3 95/01/18 */ +/* + * ==================================================== + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * + * Developed at SunSoft, a Sun Microsystems, Inc. business. + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + */ + +/* + * __kernel_cos( x, y ) + * kernel cos function on [-pi/4, pi/4], pi/4 ~ 0.785398164 + * Input x is assumed to be bounded by ~pi/4 in magnitude. + * Input y is the tail of x. + * + * Algorithm + * 1. Since cos(-x) = cos(x), we need only to consider positive x. + * 2. if x < 2^-27 (hx<0x3e400000 0), return 1 with inexact if x!=0. + * 3. cos(x) is approximated by a polynomial of degree 14 on + * [0,pi/4] + * 4 14 + * cos(x) ~ 1 - x*x/2 + C1*x + ... + C6*x + * where the remez error is + * + * | 2 4 6 8 10 12 14 | -58 + * |cos(x)-(1-.5*x +C1*x +C2*x +C3*x +C4*x +C5*x +C6*x )| <= 2 + * | | + * + * 4 6 8 10 12 14 + * 4. let r = C1*x +C2*x +C3*x +C4*x +C5*x +C6*x , then + * cos(x) = 1 - x*x/2 + r + * since cos(x+y) ~ cos(x) - sin(x)*y + * ~ cos(x) - x*y, + * a correction term is necessary in cos(x) and hence + * cos(x+y) = 1 - (x*x/2 - (r - x*y)) + * For better accuracy when x > 0.3, let qx = |x|/4 with + * the last 32 bits mask off, and if x > 0.78125, let qx = 0.28125. + * Then + * cos(x+y) = (1-qx) - ((x*x/2-qx) - (r-x*y)). + * Note that 1-qx and (x*x/2-qx) is EXACT here, and the + * magnitude of the latter is at least a quarter of x*x/2, + * thus, reducing the rounding error in the subtraction. + */ + +package kotlin.math.fdlibm + + +private const val one = 1.00000000000000000000e+00 /* 0x3FF00000, 0x00000000 */ +private const val C1 = 4.16666666666666019037e-02 /* 0x3FA55555, 0x5555554C */ +private const val C2 = -1.38888888888741095749e-03 /* 0xBF56C16C, 0x16C15177 */ +private const val C3 = 2.48015872894767294178e-05 /* 0x3EFA01A0, 0x19CB1590 */ +private const val C4 = -2.75573143513906633035e-07 /* 0xBE927E4F, 0x809C52AD */ +private const val C5 = 2.08757232129817482790e-09 /* 0x3E21EE9E, 0xBDB4B1C4 */ +private const val C6 = -1.13596475577881948265e-11 /* 0xBDA8FAE9, 0xBE8838D4 */ + +internal fun __kernel_cos(x: Double, y: Double): Double { + var a: Double = 0.0 + var hz: Double = 0.0 + var z: Double = 0.0 + var r: Double = 0.0 + var qx: Double = 0.0 + var ix: Int = 0 + ix = __HI(x) and 0x7fffffff /* ix = |x|'s high word*/ + if (ix < 0x3e400000) { /* if x < 2**27 */ + if ((x.toInt()) == 0) return one /* generate inexact */ + } + z = x * x + r = z * (C1 + z * (C2 + z * (C3 + z * (C4 + z * (C5 + z * C6))))) + if (ix < 0x3FD33333) /* if |x| < 0.3 */ + return one - (0.5 * z - (z * r - x * y)) + else { + if (ix > 0x3fe90000) { /* x > 0.78125 */ + qx = 0.28125 + } else { + qx = doubleSetWord(d = qx, hi = ix - 0x00200000) /* x/4 */ + qx = doubleSetWord(d = qx, lo = 0) + } + hz = 0.5 * z - qx + a = one - qx + return a - (hz - (z * r - x * y)) + } +} diff --git a/libraries/stdlib/wasm/src/kotlin/math/fdlibm/k_rem_pio2.kt b/libraries/stdlib/wasm/src/kotlin/math/fdlibm/k_rem_pio2.kt new file mode 100644 index 00000000000..263a81c427c --- /dev/null +++ b/libraries/stdlib/wasm/src/kotlin/math/fdlibm/k_rem_pio2.kt @@ -0,0 +1,408 @@ +/* @(#)k_rem_pio2.c 1.3 95/01/18 */ +/* + * ==================================================== + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * + * Developed at SunSoft, a Sun Microsystems, Inc. business. + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + */ + +/* + * __kernel_rem_pio2(x,y,e0,nx,prec,ipio2) + * double x[],y[]; int e0,nx,prec; int ipio2[]; + * + * __kernel_rem_pio2 return the last three digits of N with + * y = x - N*pi/2 + * so that |y| < pi/2. + * + * The method is to compute the integer (mod 8) and fraction parts of + * (2/pi)*x without doing the full multiplication. In general we + * skip the part of the product that are known to be a huge integer ( + * more accurately, = 0 mod 8 ). Thus the number of operations are + * independent of the exponent of the input. + * + * (2/pi) is represented by an array of 24-bit integers in ipio2[]. + * + * Input parameters: + * x[] The input value (must be positive) is broken into nx + * pieces of 24-bit integers in double precision format. + * x[i] will be the i-th 24 bit of x. The scaled exponent + * of x[0] is given in input parameter e0 (i.e., x[0]*2^e0 + * match x's up to 24 bits. + * + * Example of breaking a double positive z into x[0]+x[1]+x[2]: + * e0 = ilogb(z)-23 + * z = scalbn(z,-e0) + * for i = 0,1,2 + * x[i] = floor(z) + * z = (z-x[i])*2**24 + * + * + * y[] ouput result in an array of double precision numbers. + * The dimension of y[] is: + * 24-bit precision 1 + * 53-bit precision 2 + * 64-bit precision 2 + * 113-bit precision 3 + * The actual value is the sum of them. Thus for 113-bit + * precison, one may have to do something like: + * + * long double t,w,r_head, r_tail; + * t = (long double)y[2] + (long double)y[1]; + * w = (long double)y[0]; + * r_head = t+w; + * r_tail = w - (r_head - t); + * + * e0 The exponent of x[0] + * + * nx dimension of x[] + * + * prec an integer indicating the precision: + * 0 24 bits (single) + * 1 53 bits (double) + * 2 64 bits (extended) + * 3 113 bits (quad) + * + * ipio2[] + * integer array, contains the (24*i)-th to (24*i+23)-th + * bit of 2/pi after binary point. The corresponding + * floating value is + * + * ipio2[i] * 2^(-24(i+1)). + * + * External function: + * double scalbn(), floor(); + * + * + * Here is the description of some local variables: + * + * jk jk+1 is the initial number of terms of ipio2[] needed + * in the computation. The recommended value is 2,3,4, + * 6 for single, double, extended,and quad. + * + * jz local integer variable indicating the number of + * terms of ipio2[] used. + * + * jx nx - 1 + * + * jv index for pointing to the suitable ipio2[] for the + * computation. In general, we want + * ( 2^e0*x[0] * ipio2[jv-1]*2^(-24jv) )/8 + * is an integer. Thus + * e0-3-24*jv >= 0 or (e0-3)/24 >= jv + * Hence jv = max(0,(e0-3)/24). + * + * jp jp+1 is the number of terms in PIo2[] needed, jp = jk. + * + * q[] double array with integral value, representing the + * 24-bits chunk of the product of x and 2/pi. + * + * q0 the corresponding exponent of q[0]. Note that the + * exponent for q[i] would be q0-24*i. + * + * PIo2[] double precision array, obtained by cutting pi/2 + * into 24 bits chunks. + * + * f[] ipio2[] in floating point + * + * iq[] integer array by breaking up q[] in 24-bits chunk. + * + * fq[] final product of x*(2/pi) in fq[0],..,fq[jk] + * + * ih integer. If >0 it indicates q[] is >= 0.5, hence + * it also indicates the *sign* of the result. + * + */ + + +/* + * Constants: + * The hexadecimal values are the intended ones for the following + * constants. The decimal values may be used, provided that the + * compiler will convert from decimal to binary accurately enough + * to produce the hexadecimal values shown. + */ + +package kotlin.math.fdlibm + +import kotlin.wasm.internal.wasm_f64_floor as floor + +private val init_jk = intArrayOf(2, 3, 4, 6) /* initial value for jk */ +private val PIo2 = doubleArrayOf( + 1.57079625129699707031e+00, /* 0x3FF921FB, 0x40000000 */ + 7.54978941586159635335e-08, /* 0x3E74442D, 0x00000000 */ + 5.39030252995776476554e-15, /* 0x3CF84698, Int.MIN_VALUE */ + 3.28200341580791294123e-22, /* 0x3B78CC51, 0x60000000 */ + 1.27065575308067607349e-29, /* 0x39F01B83, Int.MIN_VALUE */ + 1.22933308981111328932e-36, /* 0x387A2520, 0x40000000 */ + 2.73370053816464559624e-44, /* 0x36E38222, Int.MIN_VALUE */ + 2.16741683877804819444e-51, /* 0x3569F31D, 0x00000000 */ +) + + +private const val zero = 0.0 +private const val one = 1.0 +private const val two24 = 1.67772160000000000000e+07 /* 0x41700000, 0x00000000 */ +private const val twon24 = 5.96046447753906250000e-08 /* 0x3E700000, 0x00000000 */ + +internal fun __kernel_rem_pio2(x: DoubleArray, y: DoubleArray, e0: Int, nx: Int, prec: Int, ipio2: IntArray): Int { + var jz: Int = 0 + var jx: Int = 0 + var jv: Int = 0 + var jp: Int = 0 + var jk: Int = 0 + var carry: Int = 0 + var n: Int = 0 + var iq: IntArray = IntArray(20) + var i: Int = 0 + var j: Int = 0 + var k: Int = 0 + var m: Int = 0 + var q0: Int = 0 + var ih: Int = 0 + var z: Double = 0.0 + var fw: Double = 0.0 + var f: DoubleArray = DoubleArray(20) + var fq: DoubleArray = DoubleArray(20) + var q: DoubleArray = DoubleArray(20) + + /* initialize jk*/ + jk = init_jk[prec] + jp = jk + + /* determine jx,jv,q0, note that 3>q0 */ + jx = nx - 1 + jv = (e0 - 3) / 24; if (jv < 0) jv = 0 + q0 = e0 - 24 * (jv + 1) + + /* set up f[0] to f[jx+jk] where f[jx+jk] = ipio2[jv+jk] */ + j = jv - jx; m = jx + jk + //for(i=0;i<=m;i++,j++) { + i = 0 + while (i <= m) { + f[i] = if (j < 0) zero else ipio2[j].toDouble() + //-- + i++; j++ + } + + /* compute q[0],q[1],...q[jk] */ + //for (i=0;i<=jk;i++) { + i = 0 + while (i <= jk) { + j = 0; fw = 0.0 + while (j <= jx) { + fw += x[j] * f[jx + i - j]; q[i] = fw + //-- + j++ + } + //-- + i++ + } + + jz = jk + goto@ while (true) { + /* distill q[] into iq[] reversingly */ + //for(i=0,j=jz,z=q[jz];j>0;i++,j--) { + i = 0; j = jz; z = q[jz] + while (j > 0) { + fw = ((twon24 * z).toInt()).toDouble() + iq[i] = (z - two24 * fw).toInt() + z = q[j - 1] + fw + //-- + i++; j-- + } + + /* compute n */ + z = scalbn(z, q0) /* actual value of z */ + z -= 8.0 * floor(z * 0.125) /* trim off integer >= 8 */ + n = z.toInt() + z -= n.toDouble() + ih = 0 + if (q0 > 0) { /* need iq[jz-1] to determine n */ + i = (iq[jz - 1] shr (24 - q0)); n += i + iq[jz - 1] -= i shl (24 - q0) + ih = iq[jz - 1] shr (23 - q0) + } else if (q0 == 0) ih = iq[jz - 1] shr 23 + else if (z >= 0.5) ih = 2 + + if (ih > 0) { /* q > 0.5 */ + n += 1; carry = 0 + //for(i=0;i 0) { /* rare case: chance is 1 in 12 */ + when (q0) { + 1 -> + iq[jz - 1] = iq[jz - 1] and 0x7fffff + 2 -> + iq[jz - 1] = iq[jz - 1] and 0x3fffff + } + } + if (ih == 2) { + z = one - z + if (carry != 0) z -= scalbn(one, q0) + } + } + + /* check if recomputation is needed */ + if (z == zero) { + j = 0 + //for (i=jz-1;i>=jk;i--) { + i = jz - 1 + while (i >= jk) { + j = j or iq[i] + //-- + i-- + } + if (j == 0) { /* need recomputation */ + //for(k=1;iq[jk-k]==0;k++); /* k = no. of terms needed */ + k = 1 + while (iq[jk - k] == 0) { /* k = no. of terms needed */ + //-- + k++ + } + + //for(i=jz+1;i<=jz+k;i++) { /* add q[jz+1] to q[jz+k] */ + i = jz + 1 + while (i <= jz + k) { /* add q[jz+1] to q[jz+k] */ + f[jx + i] = ipio2[jv + i].toDouble() + //for(j=0,fw=0.0;j<=jx;j++) { + j = 0; fw = 0.0 + while (j <= jx) { + fw += x[j] * f[jx + i - j] + //-- + j++ + } + q[i] = fw + //-- + i++ + } + jz += k + continue@goto + } + } + break@goto + } + + /* chop off zero terms */ + if (z == 0.0) { + jz -= 1; q0 -= 24 + while (iq[jz] == 0) { + jz--; q0 -= 24 + } + } else { /* break z into 24-bit if necessary */ + z = scalbn(z, -q0) + if (z >= two24) { + fw = ((twon24 * z).toInt()).toDouble() + iq[jz] = (z - two24 * fw).toInt() + jz += 1; q0 += 24 + iq[jz] = fw.toInt() + } else iq[jz] = z.toInt() + } + + /* convert integer "bit" chunk to floating-point value */ + fw = scalbn(one, q0) + //for(i=jz;i>=0;i--) { + i = jz + while (i >= 0) { + q[i] = fw * iq[i].toDouble(); fw *= twon24 + //-- + i-- + } + + /* compute PIo2[0,...,jp]*q[jz,...,0] */ + //for(i=jz;i>=0;i--) { + i = jz + while (i >= 0) { + //for(fw=0.0,k=0;k<=jp&&k<=jz-i;k++) { + fw = 0.0; k = 0 + while (k <= jp && k <= jz - i) { + fw += PIo2[k] * q[i + k] + //-- + k++ + } + fq[jz - i] = fw + //-- + i-- + } + + /* compress fq[] into y[] */ + when (prec) { + 0 -> { + fw = 0.0 + //for (i= jz;i >= 0;i--) { + i = jz + while (i >= 0) { + fw += fq[i] + //-- + i-- + } + y[0] = if (ih == 0) fw else -fw + } + 1, 2 -> { + fw = 0.0 + //for (i= jz;i >= 0;i--) { + i = jz + while (i >= 0) { + fw += fq[i] + //-- + i-- + } + y[0] = if (ih == 0) fw else -fw + fw = fq[0] - fw + //for (i= 1;i <= jz;i++) { + i = 1 + while (i <= jz) { + fw += fq[i] + //-- + i++ + } + y[1] = if (ih == 0) fw else -fw + } + 3 -> { /* painful */ + //for (i= jz;i > 0;i--) { + i = jz + while (i > 0) { + fw = fq[i - 1] + fq[i] + fq[i] += fq[i - 1] - fw + fq[i - 1] = fw + //-- + i-- + } + //for (i= jz;i > 1;i--) { + i = jz + while (i > 1) { + fw = fq[i - 1] + fq[i] + fq[i] += fq[i - 1] - fw + fq[i - 1] = fw + //-- + i-- + } + //for (fw= 0.0, i = jz;i >= 2;i--) { + fw = 0.0; i = jz + while (i >= 2) { + fw += fq[i] + //-- + i-- + } + if (ih == 0) { + y[0] = fq[0]; y[1] = fq[1]; y[2] = fw + } else { + y[0] = -fq[0]; y[1] = -fq[1]; y[2] = -fw + } + } + } + return n and 7 +} diff --git a/libraries/stdlib/wasm/src/kotlin/math/fdlibm/k_sin.kt b/libraries/stdlib/wasm/src/kotlin/math/fdlibm/k_sin.kt new file mode 100644 index 00000000000..0f0ccb84cc9 --- /dev/null +++ b/libraries/stdlib/wasm/src/kotlin/math/fdlibm/k_sin.kt @@ -0,0 +1,66 @@ +/* @(#)k_sin.c 1.3 95/01/18 */ +/* + * ==================================================== + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * + * Developed at SunSoft, a Sun Microsystems, Inc. business. + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + */ + +/* __kernel_sin( x, y, iy) + * kernel sin function on [-pi/4, pi/4], pi/4 ~ 0.7854 + * Input x is assumed to be bounded by ~pi/4 in magnitude. + * Input y is the tail of x. + * Input iy indicates whether y is 0. (if iy=0, y assume to be 0). + * + * Algorithm + * 1. Since sin(-x) = -sin(x), we need only to consider positive x. + * 2. if x < 2^-27 (hx<0x3e400000 0), return x with inexact if x!=0. + * 3. sin(x) is approximated by a polynomial of degree 13 on + * [0,pi/4] + * 3 13 + * sin(x) ~ x + S1*x + ... + S6*x + * where + * + * |sin(x) 2 4 6 8 10 12 | -58 + * |----- - (1+S1*x +S2*x +S3*x +S4*x +S5*x +S6*x )| <= 2 + * | x | + * + * 4. sin(x+y) = sin(x) + sin'(x')*y + * ~ sin(x) + (1-x*x/2)*y + * For better accuracy, let + * 3 2 2 2 2 + * r = x *(S2+x *(S3+x *(S4+x *(S5+x *S6)))) + * then 3 2 + * sin(x) = x + (S1*x + (x *(r-y/2)+y)) + */ + +package kotlin.math.fdlibm + + +private const val half = 5.00000000000000000000e-01 /* 0x3FE00000, 0x00000000 */ +private const val S1 = -1.66666666666666324348e-01 /* 0xBFC55555, 0x55555549 */ +private const val S2 = 8.33333333332248946124e-03 /* 0x3F811111, 0x1110F8A6 */ +private const val S3 = -1.98412698298579493134e-04 /* 0xBF2A01A0, 0x19C161D5 */ +private const val S4 = 2.75573137070700676789e-06 /* 0x3EC71DE3, 0x57B1FE7D */ +private const val S5 = -2.50507602534068634195e-08 /* 0xBE5AE5E6, 0x8A2B9CEB */ +private const val S6 = 1.58969099521155010221e-10 /* 0x3DE5D93A, 0x5ACFD57C */ + +internal fun __kernel_sin(x: Double, y: Double, iy: Int): Double { + var z: Double = 0.0 + var r: Double = 0.0 + var v: Double = 0.0 + var ix: Int = 0 + ix = __HI(x) and 0x7fffffff /* high word of x */ + if (ix < 0x3e400000) /* |x| < 2**-27 */ { + if (x.toInt() == 0) return x + } /* generate inexact */ + z = x * x + v = z * x + r = S2 + z * (S3 + z * (S4 + z * (S5 + z * S6))) + if (iy == 0) return x + v * (S1 + z * r) + else return x - ((z * (half * y - v * r) - y) - v * S1) +} diff --git a/libraries/stdlib/wasm/src/kotlin/math/fdlibm/k_tan.kt b/libraries/stdlib/wasm/src/kotlin/math/fdlibm/k_tan.kt new file mode 100644 index 00000000000..79d10457ead --- /dev/null +++ b/libraries/stdlib/wasm/src/kotlin/math/fdlibm/k_tan.kt @@ -0,0 +1,158 @@ +//#pragma ident "@(#)k_tan.c 1.5 04/04/22 SMI" + +/* + * ==================================================== + * Copyright 2004 Sun Microsystems, Inc. All Rights Reserved. + * + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + */ + +/* INDENT OFF */ +/* __kernel_tan( x, y, k ) + * kernel tan function on [-pi/4, pi/4], pi/4 ~ 0.7854 + * Input x is assumed to be bounded by ~pi/4 in magnitude. + * Input y is the tail of x. + * Input k indicates whether tan (if k = 1) or -1/tan (if k = -1) is returned. + * + * Algorithm + * 1. Since tan(-x) = -tan(x), we need only to consider positive x. + * 2. if x < 2^-28 (hx<0x3e300000 0), return x with inexact if x!=0. + * 3. tan(x) is approximated by a odd polynomial of degree 27 on + * [0,0.67434] + * 3 27 + * tan(x) ~ x + T1*x + ... + T13*x + * where + * + * |tan(x) 2 4 26 | -59.2 + * |----- - (1+T1*x +T2*x +.... +T13*x )| <= 2 + * | x | + * + * Note: tan(x+y) = tan(x) + tan'(x)*y + * ~ tan(x) + (1+x*x)*y + * Therefore, for better accuracy in computing tan(x+y), let + * 3 2 2 2 2 + * r = x *(T2+x *(T3+x *(...+x *(T12+x *T13)))) + * then + * 3 2 + * tan(x+y) = x + (T1*x + (x *(r+y)+y)) + * + * 4. For x in [0.67434,pi/4], let y = pi/4 - x, then + * tan(x) = tan(pi/4-y) = (1-tan(y))/(1+tan(y)) + * = 1 - 2*(tan(y) - (tan(y)^2)/(1+tan(y))) + */ + +package kotlin.math.fdlibm + +private val xxx = doubleArrayOf( + 3.33333333333334091986e-01, /* 3FD55555, 55555563 */ + 1.33333333333201242699e-01, /* 3FC11111, 1110FE7A */ + 5.39682539762260521377e-02, /* 3FABA1BA, 1BB341FE */ + 2.18694882948595424599e-02, /* 3F9664F4, 8406D637 */ + 8.86323982359930005737e-03, /* 3F8226E3, E96E8493 */ + 3.59207910759131235356e-03, /* 3F6D6D22, C9560328 */ + 1.45620945432529025516e-03, /* 3F57DBC8, FEE08315 */ + 5.88041240820264096874e-04, /* 3F4344D8, F2F26501 */ + 2.46463134818469906812e-04, /* 3F3026F7, 1A8D1068 */ + 7.81794442939557092300e-05, /* 3F147E88, A03792A6 */ + 7.14072491382608190305e-05, /* 3F12B80F, 32F0A7E9 */ + -1.85586374855275456654e-05, /* BEF375CB, DB605373 */ + 2.59073051863633712884e-05, /* 3EFB2A70, 74BF7AD4 */ +/* one */ 1.00000000000000000000e+00, /* 3FF00000, 00000000 */ +/* pio4 */ 7.85398163397448278999e-01, /* 3FE921FB, 54442D18 */ +/* pio4lo */ 3.06161699786838301793e-17 /* 3C81A626, 33145C07 */ +) +private val one = xxx[13] +private val pio4 = xxx[14] +private val pio4lo = xxx[15] +private val T = xxx +/* INDENT ON */ + +internal fun __kernel_tan(x: Double, y: Double, iy: Int): Double { + var x: Double = x + var y: Double = y + var z: Double = 0.0 + var r: Double = 0.0 + var v: Double = 0.0 + var w: Double = 0.0 + var s: Double = 0.0 + var ix: Int = 0 + var hx: Int = 0 + + hx = __HI(x) /* high word of x */ + ix = hx and 0x7fffffff /* high word of |x| */ + if (ix < 0x3e300000) { /* x < 2**-28 */ + if (x.toInt() == 0) { /* generate inexact */ + if (((ix or __LO(x)) or (iy + 1)) == 0) + return one / fabs(x) + else { + if (iy == 1) { + return x + } else { /* compute -1 / (x+y) carefully */ + var a: Double = 0.0 + var t: Double = 0.0 + w = x + y + z = w + z = doubleSetWord(d = z, lo = 0) + v = y - (z - x) + a = -one / w + t = a + t = doubleSetWord(d = t, lo = 0) + s = one + t * z + return t + a * (s + t * v) + } + } + } + } + if (ix >= 0x3FE59428) { /* |x| >= 0.6744 */ + if (hx < 0) { + x = -x + y = -y + } + z = pio4 - x + w = pio4lo - y + x = z + w + y = 0.0 + } + z = x * x + w = z * z + /* + * Break x^5*(T[1]+x^2*T[2]+...) into + * x^5(T[1]+x^4*T[3]+...+x^20*T[11]) + + * x^5(x^2*(T[2]+x^4*T[4]+...+x^22*[T12])) + */ + r = T[1] + w * (T[3] + w * (T[5] + w * (T[7] + w * (T[9] + + w * T[11])))) + v = z * (T[2] + w * (T[4] + w * (T[6] + w * (T[8] + w * (T[10] + + w * T[12]))))) + s = z * x + r = y + z * (s * (r + v) + y) + r += T[0] * s + w = x + r + if (ix >= 0x3FE59428) { + v = iy.toDouble() + return (1 - ((hx shr 30) and 2)).toDouble() * + (v - 2.0 * (x - (w * w / (w + v) - r))) + } + if (iy == 1) + return w + else { + /* + * if allow error up to 2 ulp, simply return + * -1.0 / (x+r) here + */ + /* compute -1.0 / (x+r) accurately */ + var a: Double = 0.0 + var t: Double = 0.0 + z = w + z = doubleSetWord(d = z, lo = 0) + v = r - (z - x) /* z+v = r+x */ + a = -1.0 / w + t = a /* a = -1.0/w */ + t = doubleSetWord(d = t, lo = 0) + s = 1.0 + t * z + return t + a * (s + t * v) + } +} diff --git a/libraries/stdlib/wasm/src/kotlin/math/fdlibm/s_asinh.kt b/libraries/stdlib/wasm/src/kotlin/math/fdlibm/s_asinh.kt new file mode 100644 index 00000000000..6026415136f --- /dev/null +++ b/libraries/stdlib/wasm/src/kotlin/math/fdlibm/s_asinh.kt @@ -0,0 +1,53 @@ +/* @(#)s_asinh.c 1.3 95/01/18 */ +/* + * ==================================================== + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * + * Developed at SunSoft, a Sun Microsystems, Inc. business. + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + */ + +/* asinh(x) + * Method : + * Based on + * asinh(x) = sign(x) * log [ |x| + sqrt(x*x+1) ] + * we have + * asinh(x) := x if 1+x*x=1, + * := sign(x)*(log(x)+ln2)) for large |x|, else + * := sign(x)*log(2|x|+1/(|x|+sqrt(x*x+1))) if|x|>2, else + * := sign(x)*log1p(|x| + x^2/(1 + sqrt(1+x^2))) + */ + +package kotlin.math.fdlibm + +import kotlin.wasm.internal.wasm_f64_sqrt as sqrt + +private const val one = 1.00000000000000000000e+00 /* 0x3FF00000, 0x00000000 */ +private const val ln2 = 6.93147180559945286227e-01 /* 0x3FE62E42, 0xFEFA39EF */ +private const val huge = 1.00000000000000000000e+300 + +internal fun asinh(x: Double): Double { + var t: Double = 0.0 + var w: Double = 0.0 + var hx: Int = 0 + var ix: Int = 0 + hx = __HI(x) + ix = hx and 0x7fffffff + if (ix >= 0x7ff00000) return x + x /* x is inf or NaN */ + if (ix < 0x3e300000) { /* |x|<2**-28 */ + if (huge + x > one) return x /* return x inexact except 0 */ + } + if (ix > 0x41b00000) { /* |x| > 2**28 */ + w = __ieee754_log(fabs(x)) + ln2 + } else if (ix > 0x40000000) { /* 2**28 > |x| > 2.0 */ + t = fabs(x) + w = __ieee754_log(2.0 * t + one / (sqrt(x * x + one) + t)) + } else { /* 2.0 > |x| > 2**-28 */ + t = x * x + w = log1p(fabs(x) + t / (one + sqrt(one + t))) + } + if (hx > 0) return w; else return -w +} diff --git a/libraries/stdlib/wasm/src/kotlin/math/fdlibm/s_atan.kt b/libraries/stdlib/wasm/src/kotlin/math/fdlibm/s_atan.kt new file mode 100644 index 00000000000..2dcd690ac04 --- /dev/null +++ b/libraries/stdlib/wasm/src/kotlin/math/fdlibm/s_atan.kt @@ -0,0 +1,120 @@ +/* @(#)s_atan.c 1.3 95/01/18 */ +/* + * ==================================================== + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * + * Developed at SunSoft, a Sun Microsystems, Inc. business. + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + * + */ + +/* atan(x) + * Method + * 1. Reduce x to positive by atan(x) = -atan(-x). + * 2. According to the integer k=4t+0.25 chopped, t=x, the argument + * is further reduced to one of the following intervals and the + * arctangent of t is evaluated by the corresponding formula: + * + * [0,7/16] atan(x) = t-t^3*(a1+t^2*(a2+...(a10+t^2*a11)...) + * [7/16,11/16] atan(x) = atan(1/2) + atan( (t-0.5)/(1+t/2) ) + * [11/16.19/16] atan(x) = atan( 1 ) + atan( (t-1)/(1+t) ) + * [19/16,39/16] atan(x) = atan(3/2) + atan( (t-1.5)/(1+1.5t) ) + * [39/16,INF] atan(x) = atan(INF) + atan( -1/t ) + * + * Constants: + * The hexadecimal values are the intended ones for the following + * constants. The decimal values may be used, provided that the + * compiler will convert from decimal to binary accurately enough + * to produce the hexadecimal values shown. + */ + +package kotlin.math.fdlibm + +private val atanhi = doubleArrayOf( + 4.63647609000806093515e-01, /* atan(0.5)hi 0x3FDDAC67, 0x0561BB4F */ + 7.85398163397448278999e-01, /* atan(1.0)hi 0x3FE921FB, 0x54442D18 */ + 9.82793723247329054082e-01, /* atan(1.5)hi 0x3FEF730B, 0xD281F69B */ + 1.57079632679489655800e+00, /* atan(inf)hi 0x3FF921FB, 0x54442D18 */ +) + +private val atanlo = doubleArrayOf( + 2.26987774529616870924e-17, /* atan(0.5)lo 0x3C7A2B7F, 0x222F65E2 */ + 3.06161699786838301793e-17, /* atan(1.0)lo 0x3C81A626, 0x33145C07 */ + 1.39033110312309984516e-17, /* atan(1.5)lo 0x3C700788, 0x7AF0CBBD */ + 6.12323399573676603587e-17, /* atan(inf)lo 0x3C91A626, 0x33145C07 */ +) + +private val aT = doubleArrayOf( + 3.33333333333329318027e-01, /* 0x3FD55555, 0x5555550D */ + -1.99999999998764832476e-01, /* 0xBFC99999, 0x9998EBC4 */ + 1.42857142725034663711e-01, /* 0x3FC24924, 0x920083FF */ + -1.11111104054623557880e-01, /* 0xBFBC71C6, 0xFE231671 */ + 9.09088713343650656196e-02, /* 0x3FB745CD, 0xC54C206E */ + -7.69187620504482999495e-02, /* 0xBFB3B0F2, 0xAF749A6D */ + 6.66107313738753120669e-02, /* 0x3FB10D66, 0xA0D03D51 */ + -5.83357013379057348645e-02, /* 0xBFADDE2D, 0x52DEFD9A */ + 4.97687799461593236017e-02, /* 0x3FA97B4B, 0x24760DEB */ + -3.65315727442169155270e-02, /* 0xBFA2B444, 0x2C6A6C2F */ + 1.62858201153657823623e-02, /* 0x3F90AD3A, 0xE322DA11 */ +) + + +private const val one = 1.0 +private const val huge = 1.0e300 + +internal fun atan(x: Double): Double { + var x: Double = x + var w: Double = 0.0 + var s1: Double = 0.0 + var s2: Double = 0.0 + var z: Double = 0.0 + var ix: Int = 0 + var hx: Int = 0 + var id: Int = 0 + + hx = __HI(x) + ix = hx and 0x7fffffff + if (ix >= 0x44100000) { /* if |x| >= 2^66 */ + if (ix > 0x7ff00000 || + (ix == 0x7ff00000 && (__LO(x) != 0)) + ) + return x + x /* NaN */ + if (hx > 0) return atanhi[3] + atanlo[3] + else return -atanhi[3] - atanlo[3] + } + if (ix < 0x3fdc0000) { /* |x| < 0.4375 */ + if (ix < 0x3e200000) { /* |x| < 2^-29 */ + if (huge + x > one) return x /* raise inexact */ + } + id = -1 + } else { + x = fabs(x) + if (ix < 0x3ff30000) { /* |x| < 1.1875 */ + if (ix < 0x3fe60000) { /* 7/16 <=|x|<11/16 */ + id = 0; x = (2.0 * x - one) / (2.0 + x) + } else { /* 11/16<=|x|< 19/16 */ + id = 1; x = (x - one) / (x + one) + } + } else { + if (ix < 0x40038000) { /* |x| < 2.4375 */ + id = 2; x = (x - 1.5) / (one + 1.5 * x) + } else { /* 2.4375 <= |x| < 2^66 */ + id = 3; x = -1.0 / x + } + } + } + /* end of argument reduction */ + z = x * x + w = z * z + /* break sum from i=0 to 10 aT[i]z**(i+1) into odd and even poly */ + s1 = z * (aT[0] + w * (aT[2] + w * (aT[4] + w * (aT[6] + w * (aT[8] + w * aT[10]))))) + s2 = w * (aT[1] + w * (aT[3] + w * (aT[5] + w * (aT[7] + w * aT[9])))) + if (id < 0) return x - x * (s1 + s2) + else { + z = atanhi[id] - ((x * (s1 + s2) - atanlo[id]) - x) + return if (hx < 0) -z else z + } +} diff --git a/libraries/stdlib/wasm/src/kotlin/math/fdlibm/s_cos.kt b/libraries/stdlib/wasm/src/kotlin/math/fdlibm/s_cos.kt new file mode 100644 index 00000000000..3d071e5e16c --- /dev/null +++ b/libraries/stdlib/wasm/src/kotlin/math/fdlibm/s_cos.kt @@ -0,0 +1,72 @@ +/* @(#)s_cos.c 1.3 95/01/18 */ +/* + * ==================================================== + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * + * Developed at SunSoft, a Sun Microsystems, Inc. business. + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + */ + +/* cos(x) + * Return cosine function of x. + * + * kernel function: + * __kernel_sin ... sine function on [-pi/4,pi/4] + * __kernel_cos ... cosine function on [-pi/4,pi/4] + * __ieee754_rem_pio2 ... argument reduction routine + * + * Method. + * Let S,C and T denote the sin, cos and tan respectively on + * [-PI/4, +PI/4]. Reduce the argument x to y1+y2 = x-k*pi/2 + * in [-pi/4 , +pi/4], and let n = k mod 4. + * We have + * + * n sin(x) cos(x) tan(x) + * ---------------------------------------------------------- + * 0 S C T + * 1 C -S -1/T + * 2 -S -C T + * 3 -C S -1/T + * ---------------------------------------------------------- + * + * Special cases: + * Let trig be any of sin, cos, or tan. + * trig(+-INF) is NaN, with signals; + * trig(NaN) is that NaN; + * + * Accuracy: + * TRIG(x) returns trig(x) nearly rounded + */ + +package kotlin.math.fdlibm + +internal fun cos(x: Double): Double { + val y: DoubleArray = DoubleArray(2) + var z: Double = 0.0 + var n: Int = 0 + var ix: Int = 0 + + /* High word of x. */ + ix = __HI(x) + + /* |x| ~< pi/4 */ + ix = ix and 0x7fffffff + if (ix <= 0x3fe921fb) return __kernel_cos(x, z) + + /* cos(Inf or NaN) is NaN */ + else if (ix >= 0x7ff00000) return x - x + + /* argument reduction needed */ + else { + n = __ieee754_rem_pio2(x, y) + when (n and 3) { + 0 -> return __kernel_cos(y[0], y[1]) + 1 -> return -__kernel_sin(y[0], y[1], 1) + 2 -> return -__kernel_cos(y[0], y[1]) + else -> return __kernel_sin(y[0], y[1], 1) + } + } +} diff --git a/libraries/stdlib/wasm/src/kotlin/math/fdlibm/s_expm1.kt b/libraries/stdlib/wasm/src/kotlin/math/fdlibm/s_expm1.kt new file mode 100644 index 00000000000..9fd2cd7efd2 --- /dev/null +++ b/libraries/stdlib/wasm/src/kotlin/math/fdlibm/s_expm1.kt @@ -0,0 +1,214 @@ +/* @(#)s_expm1.c 1.5 04/04/22 */ +/* + * ==================================================== + * Copyright (C) 2004 by Sun Microsystems, Inc. All rights reserved. + * + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + */ + +/* expm1(x) + * Returns exp(x)-1, the exponential of x minus 1. + * + * Method + * 1. Argument reduction: + * Given x, find r and integer k such that + * + * x = k*ln2 + r, |r| <= 0.5*ln2 ~ 0.34658 + * + * Here a correction term c will be computed to compensate + * the error in r when rounded to a floating-point number. + * + * 2. Approximating expm1(r) by a special rational function on + * the interval [0,0.34658]: + * Since + * r*(exp(r)+1)/(exp(r)-1) = 2+ r^2/6 - r^4/360 + ... + * we define R1(r*r) by + * r*(exp(r)+1)/(exp(r)-1) = 2+ r^2/6 * R1(r*r) + * That is, + * R1(r**2) = 6/r *((exp(r)+1)/(exp(r)-1) - 2/r) + * = 6/r * ( 1 + 2.0*(1/(exp(r)-1) - 1/r)) + * = 1 - r^2/60 + r^4/2520 - r^6/100800 + ... + * We use a special Remes algorithm on [0,0.347] to generate + * a polynomial of degree 5 in r*r to approximate R1. The + * maximum error of this polynomial approximation is bounded + * by 2**-61. In other words, + * R1(z) ~ 1.0 + Q1*z + Q2*z**2 + Q3*z**3 + Q4*z**4 + Q5*z**5 + * where Q1 = -1.6666666666666567384E-2, + * Q2 = 3.9682539681370365873E-4, + * Q3 = -9.9206344733435987357E-6, + * Q4 = 2.5051361420808517002E-7, + * Q5 = -6.2843505682382617102E-9; + * (where z=r*r, and the values of Q1 to Q5 are listed below) + * with error bounded by + * | 5 | -61 + * | 1.0+Q1*z+...+Q5*z - R1(z) | <= 2 + * | | + * + * expm1(r) = exp(r)-1 is then computed by the following + * specific way which minimize the accumulation rounding error: + * 2 3 + * r r [ 3 - (R1 + R1*r/2) ] + * expm1(r) = r + --- + --- * [--------------------] + * 2 2 [ 6 - r*(3 - R1*r/2) ] + * + * To compensate the error in the argument reduction, we use + * expm1(r+c) = expm1(r) + c + expm1(r)*c + * ~ expm1(r) + c + r*c + * Thus c+r*c will be added in as the correction terms for + * expm1(r+c). Now rearrange the term to avoid optimization + * screw up: + * ( 2 2 ) + * ({ ( r [ R1 - (3 - R1*r/2) ] ) } r ) + * expm1(r+c)~r - ({r*(--- * [--------------------]-c)-c} - --- ) + * ({ ( 2 [ 6 - r*(3 - R1*r/2) ] ) } 2 ) + * ( ) + * + * = r - E + * 3. Scale back to obtain expm1(x): + * From step 1, we have + * expm1(x) = either 2^k*[expm1(r)+1] - 1 + * = or 2^k*[expm1(r) + (1-2^-k)] + * 4. Implementation notes: + * (A). To save one multiplication, we scale the coefficient Qi + * to Qi*2^i, and replace z by (x^2)/2. + * (B). To achieve maximum accuracy, we compute expm1(x) by + * (i) if x < -56*ln2, return -1.0, (raise inexact if x!=inf) + * (ii) if k=0, return r-E + * (iii) if k=-1, return 0.5*(r-E)-0.5 + * (iv) if k=1 if r < -0.25, return 2*((r+0.5)- E) + * else return 1.0+2.0*(r-E); + * (v) if (k<-2||k>56) return 2^k(1-(E-r)) - 1 (or exp(x)-1) + * (vi) if k <= 20, return 2^k((1-2^-k)-(E-r)), else + * (vii) return 2^k(1-((E+2^-k)-r)) + * + * Special cases: + * expm1(INF) is INF, expm1(NaN) is NaN; + * expm1(-INF) is -1, and + * for finite argument, only expm1(0)=0 is exact. + * + * Accuracy: + * according to an error analysis, the error is always less than + * 1 ulp (unit in the last place). + * + * Misc. info. + * For IEEE double + * if x > 7.09782712893383973096e+02 then expm1(x) overflow + * + * Constants: + * The hexadecimal values are the intended ones for the following + * constants. The decimal values may be used, provided that the + * compiler will convert from decimal to binary accurately enough + * to produce the hexadecimal values shown. + */ + +package kotlin.math.fdlibm + + +private const val one = 1.0 +private const val huge = 1.0e+300 +private const val tiny = 1.0e-300 +private const val o_threshold = 7.09782712893383973096e+02 /* 0x40862E42, 0xFEFA39EF */ +private const val ln2_hi = 6.93147180369123816490e-01 /* 0x3fe62e42, 0xfee00000 */ +private const val ln2_lo = 1.90821492927058770002e-10 /* 0x3dea39ef, 0x35793c76 */ +private const val invln2 = 1.44269504088896338700e+00 /* 0x3ff71547, 0x652b82fe */ + +/* scaled coefficients related to expm1 */ +private const val Q1 = -3.33333333333331316428e-02 /* BFA11111 111110F4 */ +private const val Q2 = 1.58730158725481460165e-03 /* 3F5A01A0 19FE5585 */ +private const val Q3 = -7.93650757867487942473e-05 /* BF14CE19 9EAADBB7 */ +private const val Q4 = 4.00821782732936239552e-06 /* 3ED0CFCA 86E65239 */ +private const val Q5 = -2.01099218183624371326e-07 /* BE8AFDB7 6E09C32D */ + +internal fun expm1(x: Double): Double { + var x: Double = x + var y: Double = 0.0 + var hi: Double = 0.0 + var lo: Double = 0.0 + var c: Double = 0.0 + var t: Double = 0.0 + var e: Double = 0.0 + var hxs: Double = 0.0 + var hfx: Double = 0.0 + var r1: Double = 0.0 + var k: Int = 0 + var xsb: Int = 0 + var hx: UInt = 0U + + hx = __HIu(x) /* high word of x */ + xsb = (hx and Int.MIN_VALUE.toUInt()).toInt() /* sign bit of x */ + if (xsb == 0) y = x; else y = -x /* y = |x| */ + hx = (hx and 0x7fffffffU) /* high word of |x| */ + + /* filter out huge and non-finite argument */ + if (hx >= 0x4043687AU) { /* if |x|>=56*ln2 */ + if (hx >= 0x40862E42U) { /* if |x|>=709.78... */ + if (hx >= 0x7ff00000U) { + if (((hx and 0xfffffU) or __LOu(x)) != 0U) + return x + x /* NaN */ + else return if (xsb == 0) x else -1.0/* exp(+-inf)={inf,-1} */ + } + if (x > o_threshold) return huge * huge /* overflow */ + } + if (xsb != 0) { /* x < -56*ln2, return -1.0 with inexact */ + if (x + tiny < 0.0) /* raise inexact */ + return tiny - one /* return -1 */ + } + } + + /* argument reduction */ + if (hx > 0x3fd62e42U) { /* if |x| > 0.5 ln2 */ + if (hx < 0x3FF0A2B2U) { /* and |x| < 1.5 ln2 */ + if (xsb == 0) { + hi = x - ln2_hi; lo = ln2_lo; k = 1 + } else { + hi = x + ln2_hi; lo = -ln2_lo; k = -1 + } + } else { + k = (invln2 * x + (if (xsb == 0) 0.5 else -0.5)).toInt() + t = k.toDouble() + hi = x - t * ln2_hi /* t*ln2_hi is exact here */ + lo = t * ln2_lo + } + x = hi - lo + c = (hi - x) - lo + } else if (hx < 0x3c900000U) { /* when |x|<2**-54, return x */ + t = huge + x /* return x with inexact flags when x!=0 */ + return x - (t - (huge + x)) + } else k = 0 + + /* x is now in primary range */ + hfx = 0.5 * x + hxs = x * hfx + r1 = one + hxs * (Q1 + hxs * (Q2 + hxs * (Q3 + hxs * (Q4 + hxs * Q5)))) + t = 3.0 - r1 * hfx + e = hxs * ((r1 - t) / (6.0 - x * t)) + if (k == 0) return x - (x * e - hxs) /* c is 0 */ + else { + e = (x * (e - c) - c) + e -= hxs + if (k == -1) return 0.5 * (x - e) - 0.5 + if (k == 1) + if (x < -0.25) return -2.0 * (e - (x + 0.5)) + else return one + 2.0 * (x - e) + if (k <= -2 || k > 56) { /* suffice to return exp(x)-1 */ + y = one - (e - x) + y = doubleSetWord(d = y, hi = __HI(y) + (k shl 20)) /* add k to y's exponent */ + return y - one + } + t = one + if (k < 20) { + t = doubleSetWord(d = t, hi = 0x3ff00000 - (0x200000 shr k)) /* t=1-2^-k */ + y = t - (e - x) + y = doubleSetWord(d = y, hi = __HI(y) + (k shl 20)) /* add k to y's exponent */ + } else { + t = doubleSetWord(d = t, hi = ((0x3ff - k) shl 20)) /* 2^-k */ + y = x - (e + t) + y += one + y = doubleSetWord(d = y, hi = __HI(y) + (k shl 20)) /* add k to y's exponent */ + } + } + return y +} diff --git a/libraries/stdlib/wasm/src/kotlin/math/fdlibm/s_fabs.kt b/libraries/stdlib/wasm/src/kotlin/math/fdlibm/s_fabs.kt new file mode 100644 index 00000000000..c8a5d811280 --- /dev/null +++ b/libraries/stdlib/wasm/src/kotlin/math/fdlibm/s_fabs.kt @@ -0,0 +1,21 @@ +/* @(#)s_fabs.c 1.3 95/01/18 */ +/* + * ==================================================== + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * + * Developed at SunSoft, a Sun Microsystems, Inc. business. + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + */ + +/* + * fabs(x) returns the absolute value of x. + */ + +package kotlin.math.fdlibm + +internal fun fabs(x: Double): Double { + return doubleSetWord(d = x, hi = __HI(x) and 0x7fffffff) /* add k to y's exponent */ +} diff --git a/libraries/stdlib/wasm/src/kotlin/math/fdlibm/s_ilogb.kt b/libraries/stdlib/wasm/src/kotlin/math/fdlibm/s_ilogb.kt new file mode 100644 index 00000000000..ab33c24b3d8 --- /dev/null +++ b/libraries/stdlib/wasm/src/kotlin/math/fdlibm/s_ilogb.kt @@ -0,0 +1,52 @@ +/* @(#)s_ilogb.c 1.3 95/01/18 */ +/* + * ==================================================== + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * + * Developed at SunSoft, a Sun Microsystems, Inc. business. + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + */ + +/* ilogb(x: Double) + * return the binary exponent of non-zero x + * ilogb(0) = 0x80000001 + * ilogb(inf/NaN) = 0x7fffffff (no signal is raised) + */ + +package kotlin.math.fdlibm + +internal fun ilogb(x: Double): Int { + var hx: Int = 0 + var lx: Int = 0 + var ix: Int = 0; + + hx = (__HI(x)) and 0x7fffffff /* high word of x */ + if (hx < 0x00100000) { + lx = __LO(x) + if ((hx or lx) == 0) + return 0x80000001.toInt() /* ilogb(0) = 0x80000001 */ + else /* subnormal x */ + if (hx == 0) { + //for (ix = -1043; lx>0; lx<<=1) { + ix = -1043 + while (lx > 0) { + ix -= 1 + //-- + lx = lx shl 1 + } + } else { + //for (ix = -1022,hx<<=11; hx>0; hx<<=1) { + ix = -1022; hx = hx shl 11 + while (hx > 0) { + ix -= 1 + //-- + hx = hx shl 1 + } + } + return ix + } else if (hx < 0x7ff00000) return (hx shr 20) - 1023 + else return 0x7fffffff +} diff --git a/libraries/stdlib/wasm/src/kotlin/math/fdlibm/s_log1p.kt b/libraries/stdlib/wasm/src/kotlin/math/fdlibm/s_log1p.kt new file mode 100644 index 00000000000..2e5d68a8fba --- /dev/null +++ b/libraries/stdlib/wasm/src/kotlin/math/fdlibm/s_log1p.kt @@ -0,0 +1,167 @@ +/* @(#)s_log1p.c 1.3 95/01/18 */ +/* + * ==================================================== + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * + * Developed at SunSoft, a Sun Microsystems, Inc. business. + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + */ + +/* double log1p(x: Double) + * + * Method : + * 1. Argument Reduction: find k and f such that + * 1+x = 2^k * (1+f), + * where sqrt(2)/2 < 1+f < sqrt(2) . + * + * Note. If k=0, then f=x is exact. However, if k!=0, then f + * may not be representable exactly. In that case, a correction + * term is need. Let u=1+x rounded. Let c = (1+x)-u, then + * log(1+x) - log(u) ~ c/u. Thus, we proceed to compute log(u), + * and add back the correction term c/u. + * (Note: when x > 2**53, one can simply return log(x)) + * + * 2. Approximation of log1p(f). + * Let s = f/(2+f) ; based on log(1+f) = log(1+s) - log(1-s) + * = 2s + 2/3 s**3 + 2/5 s**5 + ....., + * = 2s + s*R + * We use a special Reme algorithm on [0,0.1716] to generate + * a polynomial of degree 14 to approximate R The maximum error + * of this polynomial approximation is bounded by 2**-58.45. In + * other words, + * 2 4 6 8 10 12 14 + * R(z) ~ Lp1*s +Lp2*s +Lp3*s +Lp4*s +Lp5*s +Lp6*s +Lp7*s + * (the values of Lp1 to Lp7 are listed in the program) + * and + * | 2 14 | -58.45 + * | Lp1*s +...+Lp7*s - R(z) | <= 2 + * | | + * Note that 2s = f - s*f = f - hfsq + s*hfsq, where hfsq = f*f/2. + * In order to guarantee error in log below 1ulp, we compute log + * by + * log1p(f) = f - (hfsq - s*(hfsq+R)). + * + * 3. Finally, log1p(x) = k*ln2 + log1p(f). + * = k*ln2_hi+(f-(hfsq-(s*(hfsq+R)+k*ln2_lo))) + * Here ln2 is split into two floating point number: + * ln2_hi + ln2_lo, + * where n*ln2_hi is always exact for |n| < 2000. + * + * Special cases: + * log1p(x) is NaN with signal if x < -1 (including -INF) ; + * log1p(+INF) is +INF; log1p(-1) is -INF with signal; + * log1p(NaN) is that NaN with no signal. + * + * Accuracy: + * according to an error analysis, the error is always less than + * 1 ulp (unit in the last place). + * + * Constants: + * The hexadecimal values are the intended ones for the following + * constants. The decimal values may be used, provided that the + * compiler will convert from decimal to binary accurately enough + * to produce the hexadecimal values shown. + * + * Note: Assuming log() return accurate answer, the following + * algorithm can be used to compute log1p(x) to within a few ULP: + * + * u = 1+x; + * if(u==1.0) return x ; else + * return log(u)*(x/(u-1.0)); + * + * See HP-15C Advanced Functions Handbook, p.193. + */ + +package kotlin.math.fdlibm + + +private const val ln2_hi = 6.93147180369123816490e-01 /* 3fe62e42 fee00000 */ +private const val ln2_lo = 1.90821492927058770002e-10 /* 3dea39ef 35793c76 */ +private const val two54 = 1.80143985094819840000e+16 /* 43500000 00000000 */ +private const val Lp1 = 6.666666666666735130e-01 /* 3FE55555 55555593 */ +private const val Lp2 = 3.999999999940941908e-01 /* 3FD99999 9997FA04 */ +private const val Lp3 = 2.857142874366239149e-01 /* 3FD24924 94229359 */ +private const val Lp4 = 2.222219843214978396e-01 /* 3FCC71C5 1D8E78AF */ +private const val Lp5 = 1.818357216161805012e-01 /* 3FC74664 96CB03DE */ +private const val Lp6 = 1.531383769920937332e-01 /* 3FC39A09 D078C69F */ +private const val Lp7 = 1.479819860511658591e-01 /* 3FC2F112 DF3E5244 */ + +private const val zero = 0.0 + +internal fun log1p(x: Double): Double { + var hfsq: Double = 0.0 + var f: Double = 0.0 + var c: Double = 0.0 + var s: Double = 0.0 + var z: Double = 0.0 + var R: Double = 0.0 + var u: Double = 0.0 + var k: Int = 0 + var hx: Int = 0 + var hu: Int = 0 + var ax: Int = 0 + + hx = __HI(x) /* high word of x */ + ax = hx and 0x7fffffff + + k = 1 + if (hx < 0x3FDA827A) { /* x < 0.41422 */ + if (ax >= 0x3ff00000) { /* x <= -1.0 */ + if (x == -1.0) return -two54 / zero /* log1p(-1)=+inf */ + else return (x - x) / (x - x) /* log1p(x<-1)=NaN */ + } + if (ax < 0x3e200000) { /* |x| < 2**-29 */ + if (two54 + x > zero /* raise inexact */ + && ax < 0x3c900000 + ) /* |x| < 2**-54 */ + return x + else + return x - x * x * 0.5 + } + if (hx > 0 || hx <= (0xbfd2bec3.toInt())) { + k = 0;f = x;hu = 1 + } /* -0.2929= 0x7ff00000) return x + x + if (k != 0) { + if (hx < 0x43400000) { + u = 1.0 + x + hu = __HI(u) /* high word of u */ + k = (hu shr 20) - 1023 + c = if (k > 0) 1.0 - (u - x) else x - (u - 1.0)/* correction term */ + c /= u + } else { + u = x + hu = __HI(u) /* high word of u */ + k = (hu shr 20) - 1023 + c = 0.0 + } + hu = hu and 0x000fffff + if (hu < 0x6a09e) { + u = doubleSetWord(d = u, hi = hu or 0x3ff00000) /* normalize u */ + } else { + k += 1 + u = doubleSetWord(d = u, hi = hu or 0x3fe00000) /* normalize u/2 */ + hu = (0x00100000 - hu) shr 2 + } + f = u - 1.0 + } + hfsq = 0.5 * f * f + if (hu == 0) { /* |f| < 2**-20 */ + if (f == zero) if (k == 0) return zero + else { + c += k * ln2_lo; return k * ln2_hi + c + } + R = hfsq * (1.0 - 0.66666666666666666 * f) + if (k == 0) return f - R; else + return k * ln2_hi - ((R - (k * ln2_lo + c)) - f) + } + s = f / (2.0 + f) + z = s * s + R = z * (Lp1 + z * (Lp2 + z * (Lp3 + z * (Lp4 + z * (Lp5 + z * (Lp6 + z * Lp7)))))) + if (k == 0) return f - (hfsq - s * (hfsq + R)); else + return k * ln2_hi - ((hfsq - (s * (hfsq + R) + (k * ln2_lo + c))) - f) +} diff --git a/libraries/stdlib/wasm/src/kotlin/math/fdlibm/s_nextafter.kt b/libraries/stdlib/wasm/src/kotlin/math/fdlibm/s_nextafter.kt new file mode 100644 index 00000000000..454c3d0cc37 --- /dev/null +++ b/libraries/stdlib/wasm/src/kotlin/math/fdlibm/s_nextafter.kt @@ -0,0 +1,78 @@ +/* @(#)s_nextafter.c 1.3 95/01/18 */ +/* + * ==================================================== + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * + * Developed at SunSoft, a Sun Microsystems, Inc. business. + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + */ + +/* IEEE functions + * nextafter(x,y) + * return the next machine floating-point number of x in the + * direction toward y. + * Special cases: + */ + +package kotlin.math.fdlibm + +internal fun nextafter(x: Double, y: Double): Double { + var x: Double = x + var y: Double = y + var hx: Int = 0 + var hy: Int = 0 + var ix: Int = 0 + var iy: Int = 0 + var lx: UInt = 0U + var ly: UInt = 0U + + hx = __HI(x) /* high word of x */ + lx = __LOu(x) /* low word of x */ + hy = __HI(y) /* high word of y */ + ly = __LOu(y) /* low word of y */ + ix = hx and 0x7fffffff /* |x| */ + iy = hy and 0x7fffffff /* |y| */ + + if (((ix >= 0x7ff00000) && ((ix - 0x7ff00000) or lx.toInt()) != 0) || /* x is nan */ + ((iy >= 0x7ff00000) && ((iy - 0x7ff00000) or ly.toInt()) != 0) + ) /* y is nan */ + return x + y + if (x == y) return x /* x=y, return x */ + if ((ix or lx.toInt()) == 0) { /* x == 0 */ + x = doubleSetWord(d = x, hi = hy and Int.MIN_VALUE) /* return +-minsubnormal */ + x = doubleSetWord(d = x, lo = 1) + y = x * x + if (y == x) return y; else return x /* raise underflow flag */ + } + if (hx >= 0) { /* x > 0 */ + if (hx > hy || ((hx == hy) && (lx > ly))) { /* x > y, x -= ulp */ + if (lx == 0U) hx -= 1 + lx -= 1U + } else { /* x < y, x += ulp */ + lx += 1U + if (lx == 0U) hx += 1 + } + } else { /* x < 0 */ + if (hy >= 0 || hx > hy || ((hx == hy) && (lx > ly))) {/* x < y, x -= ulp */ + if (lx == 0U) hx -= 1 + lx -= 1U + } else { /* x > y, x += ulp */ + lx += 1U + if (lx == 0U) hx += 1 + } + } + hy = hx and 0x7ff00000 + if (hy >= 0x7ff00000) return x + x /* overflow */ + if (hy < 0x00100000) { /* underflow */ + y = x * x + if (y != x) { /* raise underflow flag */ + y = doubleSetWord(d = y, hi = hx, lo = lx.toInt()) + return y + } + } + x = doubleSetWord(d = x, hi = hx, lo = lx.toInt()) + return x +} \ No newline at end of file diff --git a/libraries/stdlib/wasm/src/kotlin/math/fdlibm/s_rint.kt b/libraries/stdlib/wasm/src/kotlin/math/fdlibm/s_rint.kt new file mode 100644 index 00000000000..4e2c6f4755b --- /dev/null +++ b/libraries/stdlib/wasm/src/kotlin/math/fdlibm/s_rint.kt @@ -0,0 +1,77 @@ +/* @(#)s_rint.c 1.3 95/01/18 */ +/* + * ==================================================== + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * + * Developed at SunSoft, a Sun Microsystems, Inc. business. + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + */ + +/* + * rint(x) + * Return x rounded to integral value according to the prevailing + * rounding mode. + * Method: + * Using floating addition. + * Exception: + * Inexact flag raised if x not equal to rint(x). + */ + +package kotlin.math.fdlibm + +private val TWO52 = doubleArrayOf( + 4.50359962737049600000e+15, /* 0x43300000, 0x00000000 */ + -4.50359962737049600000e+15, /* 0xC3300000, 0x00000000 */ +) + +internal fun rint(x: Double): Double { + var x: Double = x + var i0: Int = 0 + var j0: Int = 0 + var sx: Int = 0 + var i: UInt = 0U + var i1: UInt = 0U + var w: Double = 0.0 + var t: Double = 0.0 + + i0 = __HI(x) + sx = (i0 shr 31) and 1 + i1 = __LOu(x) + j0 = ((i0 shr 20) and 0x7ff) - 0x3ff + if (j0 < 20) { + if (j0 < 0) { + if (((i0 and 0x7fffffff) or i1.toInt()) == 0) return x + i1 = i1 or (i0 and 0x0fffff).toUInt() + i0 = i0 and 0xfffe0000.toInt() + i0 = i0 or (((i1 or i1.negate()) shr 12) and 0x80000.toUInt()).toInt(); + x = doubleSetWord(d = x, hi = i0) + w = TWO52[sx] + x + t = w - TWO52[sx] + i0 = __HI(t) + t = doubleSetWord(d = t, hi = (i0 and 0x7fffffff) or (sx shl 31)) + return t + } else { + i = ((0x000fffff) shr j0).toUInt() + if (((i0 and i.toInt()) or i1.toInt()) == 0) return x /* x is integral */ + i = i shr 1 + if (((i0 and i.toInt()) or i1.toInt()) != 0) { + if (j0 == 19) i1 = 0x40000000.toUInt(); else + i0 = (i0 and i.inv().toInt()) or ((0x20000) shr j0) + } + } + } else if (j0 > 51) { + if (j0 == 0x400) return x + x /* inf or NaN */ + else return x /* x is integral */ + } else { + i = ((0xffffffff.toUInt())) shr (j0 - 20) + if ((i1 and i) == 0U) return x /* x is integral */ + i = i shr 1 + if ((i1 and i) != 0U) i1 = (i1 and (i.inv())) or ((0x40000000) shr (j0 - 20)).toUInt() + } + x = doubleSetWord(x, hi = i0, lo = i1.toInt()) + w = TWO52[sx] + x + return w - TWO52[sx] +} \ No newline at end of file diff --git a/libraries/stdlib/wasm/src/kotlin/math/fdlibm/s_scalbn.kt b/libraries/stdlib/wasm/src/kotlin/math/fdlibm/s_scalbn.kt new file mode 100644 index 00000000000..f70c0d574af --- /dev/null +++ b/libraries/stdlib/wasm/src/kotlin/math/fdlibm/s_scalbn.kt @@ -0,0 +1,57 @@ +/* @(#)s_scalbn.c 1.3 95/01/18 */ +/* + * ==================================================== + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * + * Developed at SunSoft, a Sun Microsystems, Inc. business. + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + */ + +/* + * scalbn (double x, int n) + * scalbn(x,n) returns x* 2**n computed by exponent + * manipulation rather than by actually performing an + * exponentiation or a multiplication. + */ + +package kotlin.math.fdlibm + +import kotlin.wasm.internal.wasm_f64_copysign as copysign + +private const val two54 = 1.80143985094819840000e+16 /* 0x43500000, 0x00000000 */ +private const val twom54 = 5.55111512312578270212e-17 /* 0x3C900000, 0x00000000 */ +private const val huge = 1.0e+300 +private const val tiny = 1.0e-300 + +internal fun scalbn(x: Double, n: Int): Double { + var x: Double = x + var k: Int = 0 + var hx: Int = 0 + var lx: Int = 0 + hx = __HI(x) + lx = __LO(x) + k = ((hx and 0x7ff00000) shr 20) /* extract exponent */ + if (k == 0) { /* 0 or subnormal x */ + if ((lx or (hx and 0x7fffffff)) == 0) return x /* +-0 */ + x *= two54 + hx = __HI(x) + k = (((hx and 0x7ff00000) shr 20) - 54) + if (n < -50000) return tiny * x /*underflow*/ + } + if (k == 0x7ff) return x + x /* NaN or Inf */ + k = k + n + if (k > 0x7fe) return huge * copysign(huge, x) /* overflow */ + if (k > 0) /* normal result */ { + x = doubleSetWord(d = x, hi = (hx and 0x800fffff.toInt()) or (k shl 20)); return x + } + if (k <= -54) + if (n > 50000) /* in case integer overflow in n+k */ + return huge * copysign(huge, x) /*overflow*/ + else return tiny * copysign(tiny, x) /*underflow*/ + k += 54 /* subnormal result */ + x = doubleSetWord(d = x, hi = (hx and 0x800fffff.toInt()) or (k shl 20)) + return x * twom54 +} diff --git a/libraries/stdlib/wasm/src/kotlin/math/fdlibm/s_sin.kt b/libraries/stdlib/wasm/src/kotlin/math/fdlibm/s_sin.kt new file mode 100644 index 00000000000..5a4207673ab --- /dev/null +++ b/libraries/stdlib/wasm/src/kotlin/math/fdlibm/s_sin.kt @@ -0,0 +1,72 @@ +/* @(#)s_sin.c 1.3 95/01/18 */ +/* + * ==================================================== + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * + * Developed at SunSoft, a Sun Microsystems, Inc. business. + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + */ + +/* sin(x) + * Return sine function of x. + * + * kernel function: + * __kernel_sin ... sine function on [-pi/4,pi/4] + * __kernel_cos ... cose function on [-pi/4,pi/4] + * __ieee754_rem_pio2 ... argument reduction routine + * + * Method. + * Let S,C and T denote the sin, cos and tan respectively on + * [-PI/4, +PI/4]. Reduce the argument x to y1+y2 = x-k*pi/2 + * in [-pi/4 , +pi/4], and let n = k mod 4. + * We have + * + * n sin(x) cos(x) tan(x) + * ---------------------------------------------------------- + * 0 S C T + * 1 C -S -1/T + * 2 -S -C T + * 3 -C S -1/T + * ---------------------------------------------------------- + * + * Special cases: + * Let trig be any of sin, cos, or tan. + * trig(+-INF) is NaN, with signals; + * trig(NaN) is that NaN; + * + * Accuracy: + * TRIG(x) returns trig(x) nearly rounded + */ + +package kotlin.math.fdlibm + +internal fun sin(x: Double): Double { + val y: DoubleArray = DoubleArray(2) + var z: Double = 0.0 + var n: Int = 0 + var ix: Int = 0 + + /* High word of x. */ + ix = __HI(x) + + /* |x| ~< pi/4 */ + ix = ix and 0x7fffffff + if (ix <= 0x3fe921fb) return __kernel_sin(x, z, 0) + + /* sin(Inf or NaN) is NaN */ + else if (ix >= 0x7ff00000) return x - x + + /* argument reduction needed */ + else { + n = __ieee754_rem_pio2(x, y) + when (n and 3) { + 0 -> return __kernel_sin(y[0], y[1], 1) + 1 -> return __kernel_cos(y[0], y[1]) + 2 -> return -__kernel_sin(y[0], y[1], 1) + else -> return -__kernel_cos(y[0], y[1]) + } + } +} diff --git a/libraries/stdlib/wasm/src/kotlin/math/fdlibm/s_tan.kt b/libraries/stdlib/wasm/src/kotlin/math/fdlibm/s_tan.kt new file mode 100644 index 00000000000..033d5f86db8 --- /dev/null +++ b/libraries/stdlib/wasm/src/kotlin/math/fdlibm/s_tan.kt @@ -0,0 +1,67 @@ +/* @(#)s_tan.c 1.3 95/01/18 */ +/* + * ==================================================== + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * + * Developed at SunSoft, a Sun Microsystems, Inc. business. + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + */ + +/* tan(x) + * Return tangent function of x. + * + * kernel function: + * __kernel_tan ... tangent function on [-pi/4,pi/4] + * __ieee754_rem_pio2 ... argument reduction routine + * + * Method. + * Let S,C and T denote the sin, cos and tan respectively on + * [-PI/4, +PI/4]. Reduce the argument x to y1+y2 = x-k*pi/2 + * in [-pi/4 , +pi/4], and let n = k mod 4. + * We have + * + * n sin(x) cos(x) tan(x) + * ---------------------------------------------------------- + * 0 S C T + * 1 C -S -1/T + * 2 -S -C T + * 3 -C S -1/T + * ---------------------------------------------------------- + * + * Special cases: + * Let trig be any of sin, cos, or tan. + * trig(+-INF) is NaN, with signals; + * trig(NaN) is that NaN; + * + * Accuracy: + * TRIG(x) returns trig(x) nearly rounded + */ + +package kotlin.math.fdlibm + +internal fun tan(x: Double): Double { + val y: DoubleArray = DoubleArray(2) + var z: Double = 0.0 + var n: Int = 0 + var ix: Int = 0 + + /* High word of x. */ + ix = __HI(x) + + /* |x| ~< pi/4 */ + ix = ix and 0x7fffffff + if (ix <= 0x3fe921fb) return __kernel_tan(x, z, 1) + + /* tan(Inf or NaN) is NaN */ + else if (ix >= 0x7ff00000) return x - x /* NaN */ + + /* argument reduction needed */ + else { + n = __ieee754_rem_pio2(x, y) + return __kernel_tan(y[0], y[1], 1 - ((n and 1) shl 1)) /* 1 -- n even + -1 -- n odd */ + } +} diff --git a/libraries/stdlib/wasm/src/kotlin/math/fdlibm/s_tanh.kt b/libraries/stdlib/wasm/src/kotlin/math/fdlibm/s_tanh.kt new file mode 100644 index 00000000000..10a7024116d --- /dev/null +++ b/libraries/stdlib/wasm/src/kotlin/math/fdlibm/s_tanh.kt @@ -0,0 +1,75 @@ +/* @(#)s_tanh.c 1.3 95/01/18 */ +/* + * ==================================================== + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * + * Developed at SunSoft, a Sun Microsystems, Inc. business. + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + */ + +/* Tanh(x) + * Return the Hyperbolic Tangent of x + * + * Method : + * x -x + * e - e + * 0. tanh(x) is defined to be ----------- + * x -x + * e + e + * 1. reduce x to non-negative by tanh(-x) = -tanh(x). + * 2. 0 <= x <= 2**-55 : tanh(x) := x*(one+x) + * -t + * 2**-55 < x <= 1 : tanh(x) := -----; t = expm1(-2x) + * t + 2 + * 2 + * 1 <= x <= 22.0 : tanh(x) := 1- ----- ; t=expm1(2x) + * t + 2 + * 22.0 < x <= INF : tanh(x) := 1. + * + * Special cases: + * tanh(NaN) is NaN; + * only tanh(0)=0 is exact for finite argument. + */ + +package kotlin.math.fdlibm + +private const val one = 1.0 +private const val two = 2.0 +private const val tiny = 1.0e-300 + +internal fun tanh(x: Double): Double { + var t: Double = 0.0 + var z: Double = 0.0 + var jx: Int = 0 + var ix: Int = 0 + + /* High word of |x|. */ + jx = __HI(x) + ix = jx and 0x7fffffff + + /* x is INF or NaN */ + if (ix >= 0x7ff00000) { + if (jx >= 0) return one / x + one /* tanh(+-inf)=+-1 */ + else return one / x - one /* tanh(NaN) = NaN */ + } + + /* |x| < 22 */ + if (ix < 0x40360000) { /* |x|<22 */ + if (ix < 0x3c800000) /* |x|<2**-55 */ + return x * (one + x) /* tanh(small) = small */ + if (ix >= 0x3ff00000) { /* |x|>=1 */ + t = expm1(two * fabs(x)) + z = one - two / (t + two) + } else { + t = expm1(-two * fabs(x)) + z = -t / (t + two) + } + /* |x| > 22, return +-1 */ + } else { + z = one - tiny /* raised inexact flag */ + } + return if (jx >= 0) z else -z +} diff --git a/libraries/stdlib/wasm/src/kotlin/math/fdlibm/utils.kt b/libraries/stdlib/wasm/src/kotlin/math/fdlibm/utils.kt new file mode 100644 index 00000000000..b1306d23a06 --- /dev/null +++ b/libraries/stdlib/wasm/src/kotlin/math/fdlibm/utils.kt @@ -0,0 +1,19 @@ +/* + * Copyright 2010-2020 JetBrains s.r.o. and Kotlin Programming Language contributors. + * Use of this source code is governed by the Apache 2.0 license that can be found in the license/LICENSE.txt file. + */ + +package kotlin.math.fdlibm + +//#define __HI(x) *(1+(int*)&x) +internal fun __HI(x: Double): Int = (x.toRawBits() ushr 32).toInt() +internal fun __HIu(x: Double): UInt = (x.toRawBits() ushr 32).toUInt() + +//#define __LO(x) *(int*)&x +internal fun __LO(x: Double): Int = (x.toRawBits() and 0xFFFFFFFF).toInt() +internal fun __LOu(x: Double): UInt = (x.toRawBits() and 0xFFFFFFFF).toUInt() + +internal fun doubleSetWord(d: Double = 0.0, hi: Int = __HI(d), lo: Int = __LO(d)): Double = + Double.fromBits((hi.toLong() shl 32) or (lo.toLong() and 0xFFFFFFFF)) + +internal fun UInt.negate(): UInt = inv() + 1U \ No newline at end of file diff --git a/libraries/stdlib/wasm/src/kotlin/Math.kt b/libraries/stdlib/wasm/src/kotlin/math/math.kt similarity index 69% rename from libraries/stdlib/wasm/src/kotlin/Math.kt rename to libraries/stdlib/wasm/src/kotlin/math/math.kt index 6113e123528..98335ede653 100644 --- a/libraries/stdlib/wasm/src/kotlin/Math.kt +++ b/libraries/stdlib/wasm/src/kotlin/math/math.kt @@ -5,7 +5,6 @@ package kotlin.math - // region ================ Double Math ======================================== /** Computes the sine of the angle [x] given in radians. @@ -14,7 +13,7 @@ package kotlin.math * - `sin(NaN|+Inf|-Inf)` is `NaN` */ @SinceKotlin("1.2") -public actual fun sin(x: Double): Double = TODO("Wasm stdlib: Math") +public actual fun sin(x: Double): Double = kotlin.math.fdlibm.sin(x) /** Computes the cosine of the angle [x] given in radians. * @@ -22,7 +21,7 @@ public actual fun sin(x: Double): Double = TODO("Wasm stdlib: Math") * - `cos(NaN|+Inf|-Inf)` is `NaN` */ @SinceKotlin("1.2") -public actual fun cos(x: Double): Double = TODO("Wasm stdlib: Math") +public actual fun cos(x: Double): Double = kotlin.math.fdlibm.cos(x) /** Computes the tangent of the angle [x] given in radians. * @@ -30,7 +29,7 @@ public actual fun cos(x: Double): Double = TODO("Wasm stdlib: Math") * - `tan(NaN|+Inf|-Inf)` is `NaN` */ @SinceKotlin("1.2") -public actual fun tan(x: Double): Double = TODO("Wasm stdlib: Math") +public actual fun tan(x: Double): Double = kotlin.math.fdlibm.tan(x) /** * Computes the arc sine of the value [x]; @@ -40,17 +39,17 @@ public actual fun tan(x: Double): Double = TODO("Wasm stdlib: Math") * - `asin(x)` is `NaN`, when `abs(x) > 1` or x is `NaN` */ @SinceKotlin("1.2") -public actual fun asin(x: Double): Double = TODO("Wasm stdlib: Math") +public actual fun asin(x: Double): Double = kotlin.math.fdlibm.__ieee754_asin(x) /** * Computes the arc cosine of the value [x]; * the returned value is an angle in the range from `0.0` to `PI` radians. * * Special cases: - * - `acos(x)` is `NaN`, when `abs(x) > 1` or x is `NaN` + * - `acos(x)` is `NaN`, when `abs(x) > 1` or x is `NaN`fasin */ @SinceKotlin("1.2") -public actual fun acos(x: Double): Double = TODO("Wasm stdlib: Math") +public actual fun acos(x: Double): Double = kotlin.math.fdlibm.__ieee754_acos(x) /** * Computes the arc tangent of the value [x]; @@ -60,7 +59,7 @@ public actual fun acos(x: Double): Double = TODO("Wasm stdlib: Math") * - `atan(NaN)` is `NaN` */ @SinceKotlin("1.2") -public actual fun atan(x: Double): Double = TODO("Wasm stdlib: Math") +public actual fun atan(x: Double): Double = kotlin.math.fdlibm.atan(x) /** * Returns the angle `theta` of the polar coordinates `(r, theta)` that correspond @@ -79,7 +78,7 @@ public actual fun atan(x: Double): Double = TODO("Wasm stdlib: Math") * - `atan2(NaN, x)` and `atan2(y, NaN)` is `NaN` */ @SinceKotlin("1.2") -public actual fun atan2(y: Double, x: Double): Double = TODO("Wasm stdlib: Math") +public actual fun atan2(y: Double, x: Double): Double = kotlin.math.fdlibm.__ieee754_atan2(y, x) /** * Computes the hyperbolic sine of the value [x]. @@ -90,7 +89,7 @@ public actual fun atan2(y: Double, x: Double): Double = TODO("Wasm stdlib: Math" * - `sinh(-Inf)` is `-Inf` */ @SinceKotlin("1.2") -public actual fun sinh(x: Double): Double = TODO("Wasm stdlib: Math") +public actual fun sinh(x: Double): Double = kotlin.math.fdlibm.__ieee754_sinh(x) /** * Computes the hyperbolic cosine of the value [x]. @@ -100,7 +99,7 @@ public actual fun sinh(x: Double): Double = TODO("Wasm stdlib: Math") * - `cosh(+Inf|-Inf)` is `+Inf` */ @SinceKotlin("1.2") -public actual fun cosh(x: Double): Double = TODO("Wasm stdlib: Math") +public actual fun cosh(x: Double): Double = kotlin.math.fdlibm.__ieee754_cosh(x) /** * Computes the hyperbolic tangent of the value [x]. @@ -111,7 +110,7 @@ public actual fun cosh(x: Double): Double = TODO("Wasm stdlib: Math") * - `tanh(-Inf)` is `-1.0` */ @SinceKotlin("1.2") -public actual fun tanh(x: Double): Double = TODO("Wasm stdlib: Math") +public actual fun tanh(x: Double): Double = kotlin.math.fdlibm.tanh(x) /** * Computes the inverse hyperbolic sine of the value [x]. @@ -124,7 +123,7 @@ public actual fun tanh(x: Double): Double = TODO("Wasm stdlib: Math") * - `asinh(-Inf)` is `-Inf` */ @SinceKotlin("1.2") -public actual fun asinh(x: Double): Double = TODO("Wasm stdlib: Math") +public actual fun asinh(x: Double): Double = kotlin.math.fdlibm.asinh(x) /** * Computes the inverse hyperbolic cosine of the value [x]. @@ -137,12 +136,12 @@ public actual fun asinh(x: Double): Double = TODO("Wasm stdlib: Math") * - `acosh(+Inf)` is `+Inf` */ @SinceKotlin("1.2") -public actual fun acosh(x: Double): Double = TODO("Wasm stdlib: Math") +public actual fun acosh(x: Double): Double = kotlin.math.fdlibm.__ieee754_acosh(x) /** * Computes the inverse hyperbolic tangent of the value [x]. * - * The returned value is `y` such that `tanh(y) == x`. + * The returned value is `y` such that `tanh(y) == x `. * * Special cases: * - `tanh(NaN)` is `NaN` @@ -151,7 +150,7 @@ public actual fun acosh(x: Double): Double = TODO("Wasm stdlib: Math") * - `tanh(-1.0)` is `-Inf` */ @SinceKotlin("1.2") -public actual fun atanh(x: Double): Double = TODO("Wasm stdlib: Math") +public actual fun atanh(x: Double): Double = kotlin.math.fdlibm.__ieee754_atanh(x) /** * Computes `sqrt(x^2 + y^2)` without intermediate overflow or underflow. @@ -161,7 +160,7 @@ public actual fun atanh(x: Double): Double = TODO("Wasm stdlib: Math") * - returns `NaN` if any of arguments is `NaN` and the other is not infinite */ @SinceKotlin("1.2") -public actual fun hypot(x: Double, y: Double): Double = TODO("Wasm stdlib: Math") +public actual fun hypot(x: Double, y: Double): Double = kotlin.math.fdlibm.__ieee754_hypot(x, y) /** * Computes the positive square root of the value [x]. @@ -170,7 +169,7 @@ public actual fun hypot(x: Double, y: Double): Double = TODO("Wasm stdlib: Math" * - `sqrt(x)` is `NaN` when `x < 0` or `x` is `NaN` */ @SinceKotlin("1.2") -public actual fun sqrt(x: Double): Double = TODO("Wasm stdlib: Math") +public actual fun sqrt(x: Double): Double = kotlin.wasm.internal.wasm_f64_sqrt(x) /** * Computes Euler's number `e` raised to the power of the value [x]. @@ -181,7 +180,7 @@ public actual fun sqrt(x: Double): Double = TODO("Wasm stdlib: Math") * - `exp(-Inf)` is `0.0` */ @SinceKotlin("1.2") -public actual fun exp(x: Double): Double = TODO("Wasm stdlib: Math") +public actual fun exp(x: Double): Double = kotlin.math.fdlibm.__ieee754_exp(x) /** * Computes `exp(x) - 1`. @@ -196,7 +195,7 @@ public actual fun exp(x: Double): Double = TODO("Wasm stdlib: Math") * @see [exp] function. */ @SinceKotlin("1.2") -public actual fun expm1(x: Double): Double = TODO("Wasm stdlib: Math") +public actual fun expm1(x: Double): Double = kotlin.math.fdlibm.expm1(x) /** * Computes the logarithm of the value [x] to the given [base]. @@ -211,7 +210,13 @@ public actual fun expm1(x: Double): Double = TODO("Wasm stdlib: Math") * See also logarithm functions for common fixed bases: [ln], [log10] and [log2]. */ @SinceKotlin("1.2") -public actual fun log(x: Double, base: Double): Double = TODO("Wasm stdlib: Math") +public actual fun log(x: Double, base: Double): Double { + if (x.isNaN() || base.isNaN()) return Double.NaN + if (x < 0.0 || base <= 0.0 || base == 1.0) return Double.NaN + if (x.isInfinite() && base.isInfinite()) return Double.NaN + return kotlin.math.fdlibm.__ieee754_log(x) / kotlin.math.fdlibm.__ieee754_log(base) +} + /** * Computes the natural logarithm (base `E`) of the value [x]. @@ -223,7 +228,7 @@ public actual fun log(x: Double, base: Double): Double = TODO("Wasm stdlib: Math * - `ln(0.0)` is `-Inf` */ @SinceKotlin("1.2") -public actual fun ln(x: Double): Double = TODO("Wasm stdlib: Math") +public actual fun ln(x: Double): Double = kotlin.math.fdlibm.__ieee754_log(x) /** * Computes the common logarithm (base 10) of the value [x]. @@ -231,7 +236,7 @@ public actual fun ln(x: Double): Double = TODO("Wasm stdlib: Math") * @see [ln] function for special cases. */ @SinceKotlin("1.2") -public actual fun log10(x: Double): Double = TODO("Wasm stdlib: Math") +public actual fun log10(x: Double): Double = kotlin.math.fdlibm.__ieee754_log10(x) /** * Computes the binary logarithm (base 2) of the value [x]. @@ -239,7 +244,7 @@ public actual fun log10(x: Double): Double = TODO("Wasm stdlib: Math") * @see [ln] function for special cases. */ @SinceKotlin("1.2") -public actual fun log2(x: Double): Double = TODO("Wasm stdlib: Math") +public actual fun log2(x: Double): Double = kotlin.math.fdlibm.__ieee754_log2(x) /** * Computes `ln(x + 1)`. @@ -256,7 +261,7 @@ public actual fun log2(x: Double): Double = TODO("Wasm stdlib: Math") * @see [expm1] function */ @SinceKotlin("1.2") -public actual fun ln1p(x: Double): Double = TODO("Wasm stdlib: Math") +public actual fun ln1p(x: Double): Double = kotlin.math.fdlibm.log1p(x) /** * Rounds the given value [x] to an integer towards positive infinity. @@ -267,7 +272,7 @@ public actual fun ln1p(x: Double): Double = TODO("Wasm stdlib: Math") * - `ceil(x)` is `x` where `x` is `NaN` or `+Inf` or `-Inf` or already a mathematical integer. */ @SinceKotlin("1.2") -public actual fun ceil(x: Double): Double = TODO("Wasm stdlib: Math") +public actual fun ceil(x: Double): Double = kotlin.wasm.internal.wasm_f64_ceil(x) /** * Rounds the given value [x] to an integer towards negative infinity. @@ -278,7 +283,7 @@ public actual fun ceil(x: Double): Double = TODO("Wasm stdlib: Math") * - `floor(x)` is `x` where `x` is `NaN` or `+Inf` or `-Inf` or already a mathematical integer. */ @SinceKotlin("1.2") -public actual fun floor(x: Double): Double = TODO("Wasm stdlib: Math") +public actual fun floor(x: Double): Double = kotlin.wasm.internal.wasm_f64_floor(x) /** * Rounds the given value [x] to an integer towards zero. @@ -289,7 +294,7 @@ public actual fun floor(x: Double): Double = TODO("Wasm stdlib: Math") * - `truncate(x)` is `x` where `x` is `NaN` or `+Inf` or `-Inf` or already a mathematical integer. */ @SinceKotlin("1.2") -public actual fun truncate(x: Double): Double = TODO("Wasm stdlib: Math") +public actual fun truncate(x: Double): Double = kotlin.wasm.internal.wasm_f64_truncate(x) /** * Rounds the given value [x] towards the closest integer with ties rounded towards even integer. @@ -298,7 +303,7 @@ public actual fun truncate(x: Double): Double = TODO("Wasm stdlib: Math") * - `round(x)` is `x` where `x` is `NaN` or `+Inf` or `-Inf` or already a mathematical integer. */ @SinceKotlin("1.2") -public actual fun round(x: Double): Double = TODO("Wasm stdlib: Math") +public actual fun round(x: Double): Double = kotlin.math.fdlibm.rint(x) /** * Returns the absolute value of the given value [x]. @@ -309,7 +314,7 @@ public actual fun round(x: Double): Double = TODO("Wasm stdlib: Math") * @see absoluteValue extension property for [Double] */ @SinceKotlin("1.2") -public actual fun abs(x: Double): Double = TODO("Wasm stdlib: Math") +public actual fun abs(x: Double): Double = kotlin.wasm.internal.wasm_f64_abs(x) /** * Returns the sign of the given value [x]: @@ -321,8 +326,12 @@ public actual fun abs(x: Double): Double = TODO("Wasm stdlib: Math") * - `sign(NaN)` is `NaN` */ @SinceKotlin("1.2") -public actual fun sign(x: Double): Double = TODO("Wasm stdlib: Math") - +public actual fun sign(x: Double): Double = when { + x.isNaN() -> Double.NaN + x > 0.0 -> 1.0 + x < 0.0 -> -1.0 + else -> x +} /** * Returns the smaller of two values. @@ -330,7 +339,7 @@ public actual fun sign(x: Double): Double = TODO("Wasm stdlib: Math") * If either value is `NaN`, then the result is `NaN`. */ @SinceKotlin("1.2") -public actual fun min(a: Double, b: Double): Double = TODO("Wasm stdlib: Math") +public actual fun min(a: Double, b: Double): Double = kotlin.wasm.internal.wasm_f64_min(a, b) /** * Returns the greater of two values. @@ -338,7 +347,7 @@ public actual fun min(a: Double, b: Double): Double = TODO("Wasm stdlib: Math") * If either value is `NaN`, then the result is `NaN`. */ @SinceKotlin("1.2") -public actual fun max(a: Double, b: Double): Double = TODO("Wasm stdlib: Math") +public actual fun max(a: Double, b: Double): Double = kotlin.wasm.internal.wasm_f64_max(a, b) // extensions @@ -354,7 +363,7 @@ public actual fun max(a: Double, b: Double): Double = TODO("Wasm stdlib: Math") * - `b.pow(x)` is `NaN` for `b < 0` and `x` is finite and not an integer */ @SinceKotlin("1.2") -public actual fun Double.pow(x: Double): Double = TODO("Wasm stdlib: Math") +public actual fun Double.pow(x: Double): Double = kotlin.math.fdlibm.__ieee754_pow(this, x) /** * Raises this value to the integer power [n]. @@ -362,7 +371,7 @@ public actual fun Double.pow(x: Double): Double = TODO("Wasm stdlib: Math") * See the other overload of [pow] for details. */ @SinceKotlin("1.2") -public actual fun Double.pow(n: Int): Double = TODO("Wasm stdlib: Math") +public actual fun Double.pow(n: Int): Double = kotlin.math.fdlibm.__ieee754_pow(this, n.toDouble()) /** * Returns the absolute value of this value. @@ -373,7 +382,7 @@ public actual fun Double.pow(n: Int): Double = TODO("Wasm stdlib: Math") * @see abs function */ @SinceKotlin("1.2") -public actual val Double.absoluteValue: Double get() = TODO("Wasm stdlib: Math") +public actual val Double.absoluteValue: Double get() = kotlin.wasm.internal.wasm_f64_abs(this) /** * Returns the sign of this value: @@ -385,7 +394,7 @@ public actual val Double.absoluteValue: Double get() = TODO("Wasm stdlib: Math") * - `NaN.sign` is `NaN` */ @SinceKotlin("1.2") -public actual val Double.sign: Double get() = TODO("Wasm stdlib: Math") +public actual val Double.sign: Double get() = sign(this) /** * Returns this value with the sign bit same as of the [sign] value. @@ -393,13 +402,13 @@ public actual val Double.sign: Double get() = TODO("Wasm stdlib: Math") * If [sign] is `NaN` the sign of the result is undefined. */ @SinceKotlin("1.2") -public actual fun Double.withSign(sign: Double): Double = TODO("Wasm stdlib: Math") +public actual fun Double.withSign(sign: Double): Double = kotlin.wasm.internal.wasm_f64_copysign(this, sign) /** * Returns this value with the sign bit same as of the [sign] value. */ @SinceKotlin("1.2") -public actual fun Double.withSign(sign: Int): Double = TODO("Wasm stdlib: Math") +public actual fun Double.withSign(sign: Int): Double = kotlin.wasm.internal.wasm_f64_copysign(this, sign.toDouble()) /** * Returns the ulp (unit in the last place) of this value. @@ -412,19 +421,32 @@ public actual fun Double.withSign(sign: Int): Double = TODO("Wasm stdlib: Math") * - `0.0.ulp` is `Double.MIN_VALUE` */ @SinceKotlin("1.2") -public actual val Double.ulp: Double get() = TODO("Wasm stdlib: Math") +public actual val Double.ulp: Double get() = when { + this < 0 -> (-this).ulp + this.isNaN() || this == Double.POSITIVE_INFINITY -> this + this == Double.MAX_VALUE -> this - this.nextDown() + else -> this.nextUp() - this +} /** * Returns the [Double] value nearest to this value in direction of positive infinity. */ @SinceKotlin("1.2") -public actual fun Double.nextUp(): Double = TODO("Wasm stdlib: Math") +public actual fun Double.nextUp(): Double = when { + this.isNaN() || this == Double.POSITIVE_INFINITY -> this + this == 0.0 -> Double.MIN_VALUE + else -> Double.fromBits(this.toRawBits() + if (this > 0) 1 else -1) +} /** * Returns the [Double] value nearest to this value in direction of negative infinity. */ @SinceKotlin("1.2") -public actual fun Double.nextDown(): Double = TODO("Wasm stdlib: Math") +public actual fun Double.nextDown(): Double = when { + this.isNaN() || this == Double.NEGATIVE_INFINITY -> this + this == 0.0 -> -Double.MIN_VALUE + else -> Double.fromBits(this.toRawBits() + if (this > 0) -1 else 1) +} /** * Returns the [Double] value nearest to this value in direction from this value towards the value [to]. @@ -435,7 +457,7 @@ public actual fun Double.nextDown(): Double = TODO("Wasm stdlib: Math") * */ @SinceKotlin("1.2") -public actual fun Double.nextTowards(to: Double): Double = TODO("Wasm stdlib: Math") +public actual fun Double.nextTowards(to: Double): Double = kotlin.math.fdlibm.nextafter(this, to) /** * Rounds this [Double] value to the nearest integer and converts the result to [Int]. @@ -448,7 +470,12 @@ public actual fun Double.nextTowards(to: Double): Double = TODO("Wasm stdlib: Ma * @throws IllegalArgumentException when this value is `NaN` */ @SinceKotlin("1.2") -public actual fun Double.roundToInt(): Int = TODO("Wasm stdlib: Math") +public actual fun Double.roundToInt(): Int = when { + isNaN() -> throw IllegalArgumentException("Cannot round NaN value.") + this > Int.MAX_VALUE -> Int.MAX_VALUE + this < Int.MIN_VALUE -> Int.MIN_VALUE + else -> kotlin.math.fdlibm.rint(this).toInt() +} /** * Rounds this [Double] value to the nearest integer and converts the result to [Long]. @@ -461,7 +488,12 @@ public actual fun Double.roundToInt(): Int = TODO("Wasm stdlib: Math") * @throws IllegalArgumentException when this value is `NaN` */ @SinceKotlin("1.2") -public actual fun Double.roundToLong(): Long = TODO("Wasm stdlib: Math") +public actual fun Double.roundToLong(): Long = when { + isNaN() -> throw IllegalArgumentException("Cannot round NaN value.") + this > Long.MAX_VALUE -> Long.MAX_VALUE + this < Long.MIN_VALUE -> Long.MIN_VALUE + else -> kotlin.math.fdlibm.rint(this).toLong() +} // endregion @@ -475,7 +507,7 @@ public actual fun Double.roundToLong(): Long = TODO("Wasm stdlib: Math") * - `sin(NaN|+Inf|-Inf)` is `NaN` */ @SinceKotlin("1.2") -public actual fun sin(x: Float): Float = TODO("Wasm stdlib: Math") +public actual fun sin(x: Float): Float = kotlin.math.fdlibm.sin(x.toDouble()).toFloat() /** Computes the cosine of the angle [x] given in radians. * @@ -483,7 +515,7 @@ public actual fun sin(x: Float): Float = TODO("Wasm stdlib: Math") * - `cos(NaN|+Inf|-Inf)` is `NaN` */ @SinceKotlin("1.2") -public actual fun cos(x: Float): Float = TODO("Wasm stdlib: Math") +public actual fun cos(x: Float): Float = kotlin.math.fdlibm.cos(x.toDouble()).toFloat() /** Computes the tangent of the angle [x] given in radians. * @@ -491,7 +523,7 @@ public actual fun cos(x: Float): Float = TODO("Wasm stdlib: Math") * - `tan(NaN|+Inf|-Inf)` is `NaN` */ @SinceKotlin("1.2") -public actual fun tan(x: Float): Float = TODO("Wasm stdlib: Math") +public actual fun tan(x: Float): Float = kotlin.math.fdlibm.tan(x.toDouble()).toFloat() /** * Computes the arc sine of the value [x]; @@ -501,7 +533,7 @@ public actual fun tan(x: Float): Float = TODO("Wasm stdlib: Math") * - `asin(x)` is `NaN`, when `abs(x) > 1` or x is `NaN` */ @SinceKotlin("1.2") -public actual fun asin(x: Float): Float = TODO("Wasm stdlib: Math") +public actual fun asin(x: Float): Float = kotlin.math.fdlibm.__ieee754_asin(x.toDouble()).toFloat() /** * Computes the arc cosine of the value [x]; @@ -511,7 +543,7 @@ public actual fun asin(x: Float): Float = TODO("Wasm stdlib: Math") * - `acos(x)` is `NaN`, when `abs(x) > 1` or x is `NaN` */ @SinceKotlin("1.2") -public actual fun acos(x: Float): Float = TODO("Wasm stdlib: Math") +public actual fun acos(x: Float): Float = kotlin.math.fdlibm.__ieee754_acos(x.toDouble()).toFloat() /** * Computes the arc tangent of the value [x]; @@ -521,7 +553,7 @@ public actual fun acos(x: Float): Float = TODO("Wasm stdlib: Math") * - `atan(NaN)` is `NaN` */ @SinceKotlin("1.2") -public actual fun atan(x: Float): Float = TODO("Wasm stdlib: Math") +public actual fun atan(x: Float): Float = kotlin.math.fdlibm.atan(x.toDouble()).toFloat() /** * Returns the angle `theta` of the polar coordinates `(r, theta)` that correspond @@ -540,7 +572,7 @@ public actual fun atan(x: Float): Float = TODO("Wasm stdlib: Math") * - `atan2(NaN, x)` and `atan2(y, NaN)` is `NaN` */ @SinceKotlin("1.2") -public actual fun atan2(y: Float, x: Float): Float = TODO("Wasm stdlib: Math") +public actual fun atan2(y: Float, x: Float): Float = kotlin.math.fdlibm.__ieee754_atan2(y.toDouble(), x.toDouble()).toFloat() /** * Computes the hyperbolic sine of the value [x]. @@ -551,7 +583,7 @@ public actual fun atan2(y: Float, x: Float): Float = TODO("Wasm stdlib: Math") * - `sinh(-Inf)` is `-Inf` */ @SinceKotlin("1.2") -public actual fun sinh(x: Float): Float = TODO("Wasm stdlib: Math") +public actual fun sinh(x: Float): Float = kotlin.math.fdlibm.__ieee754_sinh(x.toDouble()).toFloat() /** * Computes the hyperbolic cosine of the value [x]. @@ -561,7 +593,7 @@ public actual fun sinh(x: Float): Float = TODO("Wasm stdlib: Math") * - `cosh(+Inf|-Inf)` is `+Inf` */ @SinceKotlin("1.2") -public actual fun cosh(x: Float): Float = TODO("Wasm stdlib: Math") +public actual fun cosh(x: Float): Float = kotlin.math.fdlibm.__ieee754_cosh(x.toDouble()).toFloat() /** * Computes the hyperbolic tangent of the value [x]. @@ -572,7 +604,7 @@ public actual fun cosh(x: Float): Float = TODO("Wasm stdlib: Math") * - `tanh(-Inf)` is `-1.0` */ @SinceKotlin("1.2") -public actual fun tanh(x: Float): Float = TODO("Wasm stdlib: Math") +public actual fun tanh(x: Float): Float = kotlin.math.fdlibm.tanh(x.toDouble()).toFloat() /** * Computes the inverse hyperbolic sine of the value [x]. @@ -585,7 +617,7 @@ public actual fun tanh(x: Float): Float = TODO("Wasm stdlib: Math") * - `asinh(-Inf)` is `-Inf` */ @SinceKotlin("1.2") -public actual fun asinh(x: Float): Float = TODO("Wasm stdlib: Math") +public actual fun asinh(x: Float): Float = kotlin.math.fdlibm.asinh(x.toDouble()).toFloat() /** * Computes the inverse hyperbolic cosine of the value [x]. @@ -598,7 +630,7 @@ public actual fun asinh(x: Float): Float = TODO("Wasm stdlib: Math") * - `acosh(+Inf)` is `+Inf` */ @SinceKotlin("1.2") -public actual fun acosh(x: Float): Float = TODO("Wasm stdlib: Math") +public actual fun acosh(x: Float): Float = kotlin.math.fdlibm.__ieee754_acosh(x.toDouble()).toFloat() /** * Computes the inverse hyperbolic tangent of the value [x]. @@ -612,7 +644,7 @@ public actual fun acosh(x: Float): Float = TODO("Wasm stdlib: Math") * - `tanh(-1.0)` is `-Inf` */ @SinceKotlin("1.2") -public actual fun atanh(x: Float): Float = TODO("Wasm stdlib: Math") +public actual fun atanh(x: Float): Float = kotlin.math.fdlibm.__ieee754_atanh(x.toDouble()).toFloat() /** * Computes `sqrt(x^2 + y^2)` without intermediate overflow or underflow. @@ -622,7 +654,7 @@ public actual fun atanh(x: Float): Float = TODO("Wasm stdlib: Math") * - returns `NaN` if any of arguments is `NaN` and the other is not infinite */ @SinceKotlin("1.2") -public actual fun hypot(x: Float, y: Float): Float = TODO("Wasm stdlib: Math") +public actual fun hypot(x: Float, y: Float): Float = kotlin.math.fdlibm.__ieee754_hypot(x.toDouble(), y.toDouble()).toFloat() /** * Computes the positive square root of the value [x]. @@ -631,7 +663,7 @@ public actual fun hypot(x: Float, y: Float): Float = TODO("Wasm stdlib: Math") * - `sqrt(x)` is `NaN` when `x < 0` or `x` is `NaN` */ @SinceKotlin("1.2") -public actual fun sqrt(x: Float): Float = TODO("Wasm stdlib: Math") +public actual fun sqrt(x: Float): Float = kotlin.wasm.internal.wasm_f32_sqrt(x) /** * Computes Euler's number `e` raised to the power of the value [x]. @@ -642,7 +674,7 @@ public actual fun sqrt(x: Float): Float = TODO("Wasm stdlib: Math") * - `exp(-Inf)` is `0.0` */ @SinceKotlin("1.2") -public actual fun exp(x: Float): Float = TODO("Wasm stdlib: Math") +public actual fun exp(x: Float): Float = kotlin.math.fdlibm.__ieee754_exp(x.toDouble()).toFloat() /** * Computes `exp(x) - 1`. @@ -657,7 +689,7 @@ public actual fun exp(x: Float): Float = TODO("Wasm stdlib: Math") * @see [exp] function. */ @SinceKotlin("1.2") -public actual fun expm1(x: Float): Float = TODO("Wasm stdlib: Math") +public actual fun expm1(x: Float): Float = kotlin.math.fdlibm.expm1(x.toDouble()).toFloat() /** * Computes the logarithm of the value [x] to the given [base]. @@ -672,7 +704,10 @@ public actual fun expm1(x: Float): Float = TODO("Wasm stdlib: Math") * See also logarithm functions for common fixed bases: [ln], [log10] and [log2]. */ @SinceKotlin("1.2") -public actual fun log(x: Float, base: Float): Float = TODO("Wasm stdlib: Math") +public actual fun log(x: Float, base: Float): Float { + if (base <= 0.0F || base == 1.0F) return Float.NaN + return log(x.toDouble(), base.toDouble()).toFloat() +} /** * Computes the natural logarithm (base `E`) of the value [x]. @@ -684,7 +719,7 @@ public actual fun log(x: Float, base: Float): Float = TODO("Wasm stdlib: Math") * - `ln(0.0)` is `-Inf` */ @SinceKotlin("1.2") -public actual fun ln(x: Float): Float = TODO("Wasm stdlib: Math") +public actual fun ln(x: Float): Float = kotlin.math.fdlibm.__ieee754_log(x.toDouble()).toFloat() /** * Computes the common logarithm (base 10) of the value [x]. @@ -692,7 +727,7 @@ public actual fun ln(x: Float): Float = TODO("Wasm stdlib: Math") * @see [ln] function for special cases. */ @SinceKotlin("1.2") -public actual fun log10(x: Float): Float = TODO("Wasm stdlib: Math") +public actual fun log10(x: Float): Float = kotlin.math.fdlibm.__ieee754_log10(x.toDouble()).toFloat() /** * Computes the binary logarithm (base 2) of the value [x]. @@ -700,7 +735,7 @@ public actual fun log10(x: Float): Float = TODO("Wasm stdlib: Math") * @see [ln] function for special cases. */ @SinceKotlin("1.2") -public actual fun log2(x: Float): Float = TODO("Wasm stdlib: Math") +public actual fun log2(x: Float): Float = kotlin.math.fdlibm.__ieee754_log2(x.toDouble()).toFloat() /** * Computes `ln(a + 1)`. @@ -717,7 +752,7 @@ public actual fun log2(x: Float): Float = TODO("Wasm stdlib: Math") * @see [expm1] function */ @SinceKotlin("1.2") -public actual fun ln1p(x: Float): Float = TODO("Wasm stdlib: Math") +public actual fun ln1p(x: Float): Float = kotlin.math.fdlibm.log1p(x.toDouble()).toFloat() /** * Rounds the given value [x] to an integer towards positive infinity. @@ -728,7 +763,7 @@ public actual fun ln1p(x: Float): Float = TODO("Wasm stdlib: Math") * - `ceil(x)` is `x` where `x` is `NaN` or `+Inf` or `-Inf` or already a mathematical integer. */ @SinceKotlin("1.2") -public actual fun ceil(x: Float): Float = TODO("Wasm stdlib: Math") +public actual fun ceil(x: Float): Float = kotlin.wasm.internal.wasm_f32_ceil(x) /** * Rounds the given value [x] to an integer towards negative infinity. @@ -739,7 +774,7 @@ public actual fun ceil(x: Float): Float = TODO("Wasm stdlib: Math") * - `floor(x)` is `x` where `x` is `NaN` or `+Inf` or `-Inf` or already a mathematical integer. */ @SinceKotlin("1.2") -public actual fun floor(x: Float): Float = TODO("Wasm stdlib: Math") +public actual fun floor(x: Float): Float = kotlin.wasm.internal.wasm_f32_floor(x) /** * Rounds the given value [x] to an integer towards zero. @@ -750,7 +785,7 @@ public actual fun floor(x: Float): Float = TODO("Wasm stdlib: Math") * - `truncate(x)` is `x` where `x` is `NaN` or `+Inf` or `-Inf` or already a mathematical integer. */ @SinceKotlin("1.2") -public actual fun truncate(x: Float): Float = TODO("Wasm stdlib: Math") +public actual fun truncate(x: Float): Float = kotlin.wasm.internal.wasm_f32_truncate(x) /** * Rounds the given value [x] towards the closest integer with ties rounded towards even integer. @@ -759,7 +794,7 @@ public actual fun truncate(x: Float): Float = TODO("Wasm stdlib: Math") * - `round(x)` is `x` where `x` is `NaN` or `+Inf` or `-Inf` or already a mathematical integer. */ @SinceKotlin("1.2") -public actual fun round(x: Float): Float = TODO("Wasm stdlib: Math") +public actual fun round(x: Float): Float = round(x.toDouble()).toFloat() /** @@ -771,7 +806,7 @@ public actual fun round(x: Float): Float = TODO("Wasm stdlib: Math") * @see absoluteValue extension property for [Float] */ @SinceKotlin("1.2") -public actual fun abs(x: Float): Float = TODO("Wasm stdlib: Math") +public actual fun abs(x: Float): Float = kotlin.wasm.internal.wasm_f32_abs(x) /** * Returns the sign of the given value [x]: @@ -783,9 +818,12 @@ public actual fun abs(x: Float): Float = TODO("Wasm stdlib: Math") * - `sign(NaN)` is `NaN` */ @SinceKotlin("1.2") -public actual fun sign(x: Float): Float = TODO("Wasm stdlib: Math") - - +public actual fun sign(x: Float): Float = when { + x.isNaN() -> Float.NaN + x > 0.0f -> 1.0f + x < 0.0f -> -1.0f + else -> x +} /** * Returns the smaller of two values. @@ -793,7 +831,7 @@ public actual fun sign(x: Float): Float = TODO("Wasm stdlib: Math") * If either value is `NaN`, then the result is `NaN`. */ @SinceKotlin("1.2") -public actual fun min(a: Float, b: Float): Float = TODO("Wasm stdlib: Math") +public actual fun min(a: Float, b: Float): Float = kotlin.wasm.internal.wasm_f32_min(a, b) /** * Returns the greater of two values. @@ -801,7 +839,7 @@ public actual fun min(a: Float, b: Float): Float = TODO("Wasm stdlib: Math") * If either value is `NaN`, then the result is `NaN`. */ @SinceKotlin("1.2") -public actual fun max(a: Float, b: Float): Float = TODO("Wasm stdlib: Math") +public actual fun max(a: Float, b: Float): Float = kotlin.wasm.internal.wasm_f32_max(a ,b) // extensions @@ -818,7 +856,7 @@ public actual fun max(a: Float, b: Float): Float = TODO("Wasm stdlib: Math") * - `b.pow(x)` is `NaN` for `b < 0` and `x` is finite and not an integer */ @SinceKotlin("1.2") -public actual fun Float.pow(x: Float): Float = TODO("Wasm stdlib: Math") +public actual fun Float.pow(x: Float): Float = kotlin.math.fdlibm.__ieee754_pow(this.toDouble(), x.toDouble()).toFloat() /** * Raises this value to the integer power [n]. @@ -826,7 +864,7 @@ public actual fun Float.pow(x: Float): Float = TODO("Wasm stdlib: Math") * See the other overload of [pow] for details. */ @SinceKotlin("1.2") -public actual fun Float.pow(n: Int): Float = TODO("Wasm stdlib: Math") +public actual fun Float.pow(n: Int): Float = kotlin.math.fdlibm.__ieee754_pow(this.toDouble(), n.toDouble()).toFloat() /** * Returns the absolute value of this value. @@ -837,7 +875,7 @@ public actual fun Float.pow(n: Int): Float = TODO("Wasm stdlib: Math") * @see abs function */ @SinceKotlin("1.2") -public actual val Float.absoluteValue: Float get() = TODO("Wasm stdlib: Math") +public actual val Float.absoluteValue: Float get() = kotlin.wasm.internal.wasm_f32_abs(this) /** * Returns the sign of this value: @@ -849,7 +887,7 @@ public actual val Float.absoluteValue: Float get() = TODO("Wasm stdlib: Math") * - `NaN.sign` is `NaN` */ @SinceKotlin("1.2") -public actual val Float.sign: Float get() = TODO("Wasm stdlib: Math") +public actual val Float.sign: Float get() = sign(this) /** * Returns this value with the sign bit same as of the [sign] value. @@ -857,13 +895,13 @@ public actual val Float.sign: Float get() = TODO("Wasm stdlib: Math") * If [sign] is `NaN` the sign of the result is undefined. */ @SinceKotlin("1.2") -public actual fun Float.withSign(sign: Float): Float = TODO("Wasm stdlib: Math") +public actual fun Float.withSign(sign: Float): Float = kotlin.wasm.internal.wasm_f32_copysign(this, sign) /** * Returns this value with the sign bit same as of the [sign] value. */ @SinceKotlin("1.2") -public actual fun Float.withSign(sign: Int): Float = TODO("Wasm stdlib: Math") +public actual fun Float.withSign(sign: Int): Float = kotlin.wasm.internal.wasm_f32_copysign(this, sign.toFloat()) /** @@ -877,7 +915,12 @@ public actual fun Float.withSign(sign: Int): Float = TODO("Wasm stdlib: Math") * @throws IllegalArgumentException when this value is `NaN` */ @SinceKotlin("1.2") -public actual fun Float.roundToInt(): Int = TODO("Wasm stdlib: Math") +public actual fun Float.roundToInt(): Int = when { + isNaN() -> throw IllegalArgumentException("Cannot round NaN value.") + this > Int.MAX_VALUE -> Int.MAX_VALUE + this < Int.MIN_VALUE -> Int.MIN_VALUE + else -> floor(this + 0.5f).toInt() +} /** * Rounds this [Float] value to the nearest integer and converts the result to [Long]. @@ -890,8 +933,12 @@ public actual fun Float.roundToInt(): Int = TODO("Wasm stdlib: Math") * @throws IllegalArgumentException when this value is `NaN` */ @SinceKotlin("1.2") -public actual fun Float.roundToLong(): Long = TODO("Wasm stdlib: Math") - +public actual fun Float.roundToLong(): Long = when { + isNaN() -> throw IllegalArgumentException("Cannot round NaN value.") + this > Long.MAX_VALUE -> Long.MAX_VALUE + this < Long.MIN_VALUE -> Long.MIN_VALUE + else -> floor(this + 0.5f).toLong() +} // endregion @@ -919,7 +966,7 @@ public actual fun min(a: Int, b: Int): Int = if (a < b) a else b * Returns the greater of two values. */ @SinceKotlin("1.2") -public actual fun max(a: Int, b: Int): Int = TODO("Wasm stdlib: Math") +public actual fun max(a: Int, b: Int): Int = if (a > b) a else b /** * Returns the absolute value of this value. @@ -930,7 +977,7 @@ public actual fun max(a: Int, b: Int): Int = TODO("Wasm stdlib: Math") * @see abs function */ @SinceKotlin("1.2") -public actual val Int.absoluteValue: Int get() = TODO("Wasm stdlib: Math") +public actual val Int.absoluteValue: Int get() = abs(this) /** * Returns the sign of this value: @@ -939,11 +986,12 @@ public actual val Int.absoluteValue: Int get() = TODO("Wasm stdlib: Math") * - `1` if the value is positive */ @SinceKotlin("1.2") -public actual val Int.sign: Int get() = when { - this < 0 -> -1 - this > 0 -> 1 - else -> 0 -} +public actual val Int.sign: Int + get() = when { + this < 0 -> -1 + this > 0 -> 1 + else -> 0 + } /** * Returns the absolute value of the given value [n]. @@ -954,19 +1002,19 @@ public actual val Int.sign: Int get() = when { * @see absoluteValue extension property for [Long] */ @SinceKotlin("1.2") -public actual fun abs(n: Long): Long = if (n >= 0) n else -n +public actual fun abs(n: Long): Long = if (n < 0) -n else n /** * Returns the smaller of two values. */ @SinceKotlin("1.2") -public actual fun min(a: Long, b: Long): Long = TODO("Wasm stdlib: Math") +public actual fun min(a: Long, b: Long): Long = if (a <= b) a else b /** * Returns the greater of two values. */ @SinceKotlin("1.2") -public actual fun max(a: Long, b: Long): Long = TODO("Wasm stdlib: Math") +public actual fun max(a: Long, b: Long): Long = if (a >= b) a else b /** * Returns the absolute value of this value. @@ -977,7 +1025,7 @@ public actual fun max(a: Long, b: Long): Long = TODO("Wasm stdlib: Math") * @see abs function */ @SinceKotlin("1.2") -public actual val Long.absoluteValue: Long get() = TODO("Wasm stdlib: Math") +public actual val Long.absoluteValue: Long get() = abs(this) /** * Returns the sign of this value: @@ -987,8 +1035,8 @@ public actual val Long.absoluteValue: Long get() = TODO("Wasm stdlib: Math") */ @SinceKotlin("1.2") public actual val Long.sign: Int get() = when { - this < 0 -> -1 - this > 0 -> 1 + this < 0L -> -1 + this > 0L -> 1 else -> 0 } diff --git a/license/README.md b/license/README.md index fd69c77c1fa..2f19d71d141 100644 --- a/license/README.md +++ b/license/README.md @@ -125,6 +125,10 @@ the Kotlin IntelliJ IDEA plugin: - License: MIT ([license/third_party/asmble_license.txt][asmble]) - Origin: Copyright (C) 2018 Chad Retz + - Path: libraries/stdlib/wasm/src/kotlin/math/fdlibm/ + - License: SUN ([license/third_party/sun_license.txt][sun]) + - Origin: Copyright (C) 1993 by Sun Microsystems, Inc. + ## Kotlin Test Data The following source code is used for testing the Kotlin compiler and/or plugin and is not incorporated into diff --git a/license/third_party/sun_license.txt b/license/third_party/sun_license.txt new file mode 100644 index 00000000000..38329b983ed --- /dev/null +++ b/license/third_party/sun_license.txt @@ -0,0 +1,6 @@ +Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + +Developed at SunSoft, a Sun Microsystems, Inc. business. +Permission to use, copy, modify, and distribute this +software is freely granted, provided that this notice +is preserved. \ No newline at end of file