Index: src/math.js |
diff --git a/src/math.js b/src/math.js |
deleted file mode 100644 |
index 2c0c30ef54c088033a50b90fdde63666d9eb9c55..0000000000000000000000000000000000000000 |
--- a/src/math.js |
+++ /dev/null |
@@ -1,366 +0,0 @@ |
-// Copyright 2012 the V8 project authors. All rights reserved. |
-// Use of this source code is governed by a BSD-style license that can be |
-// found in the LICENSE file. |
- |
-var rngstate; // Initialized to a Uint32Array during genesis. |
- |
-(function(global, utils) { |
-"use strict"; |
- |
-%CheckIsBootstrapping(); |
- |
-// ------------------------------------------------------------------- |
-// Imports |
- |
-var GlobalMath = global.Math; |
-var GlobalObject = global.Object; |
-var InternalArray = utils.InternalArray; |
-var toStringTagSymbol = utils.ImportNow("to_string_tag_symbol"); |
- |
-//------------------------------------------------------------------- |
- |
-// ECMA 262 - 15.8.2.1 |
-function MathAbs(x) { |
- x = +x; |
- return (x > 0) ? x : 0 - x; |
-} |
- |
-// ECMA 262 - 15.8.2.2 |
-function MathAcosJS(x) { |
- return %_MathAcos(+x); |
-} |
- |
-// ECMA 262 - 15.8.2.3 |
-function MathAsinJS(x) { |
- return %_MathAsin(+x); |
-} |
- |
-// ECMA 262 - 15.8.2.4 |
-function MathAtanJS(x) { |
- return %_MathAtan(+x); |
-} |
- |
-// ECMA 262 - 15.8.2.5 |
-// The naming of y and x matches the spec, as does the order in which |
-// ToNumber (valueOf) is called. |
-function MathAtan2JS(y, x) { |
- y = +y; |
- x = +x; |
- return %_MathAtan2(y, x); |
-} |
- |
-// ECMA 262 - 15.8.2.6 |
-function MathCeil(x) { |
- return -%_MathFloor(-x); |
-} |
- |
-// ECMA 262 - 15.8.2.8 |
-function MathExp(x) { |
- return %MathExpRT(TO_NUMBER(x)); |
-} |
- |
-// ECMA 262 - 15.8.2.9 |
-function MathFloorJS(x) { |
- return %_MathFloor(+x); |
-} |
- |
-// ECMA 262 - 15.8.2.10 |
-function MathLog(x) { |
- return %_MathLogRT(TO_NUMBER(x)); |
-} |
- |
-// ECMA 262 - 15.8.2.11 |
-function MathMax(arg1, arg2) { // length == 2 |
- var length = %_ArgumentsLength(); |
- if (length == 2) { |
- arg1 = TO_NUMBER(arg1); |
- arg2 = TO_NUMBER(arg2); |
- if (arg2 > arg1) return arg2; |
- if (arg1 > arg2) return arg1; |
- if (arg1 == arg2) { |
- // Make sure -0 is considered less than +0. |
- return (arg1 === 0 && %_IsMinusZero(arg1)) ? arg2 : arg1; |
- } |
- // All comparisons failed, one of the arguments must be NaN. |
- return NAN; |
- } |
- var r = -INFINITY; |
- for (var i = 0; i < length; i++) { |
- var n = %_Arguments(i); |
- n = TO_NUMBER(n); |
- // Make sure +0 is considered greater than -0. |
- if (NUMBER_IS_NAN(n) || n > r || (r === 0 && n === 0 && %_IsMinusZero(r))) { |
- r = n; |
- } |
- } |
- return r; |
-} |
- |
-// ECMA 262 - 15.8.2.12 |
-function MathMin(arg1, arg2) { // length == 2 |
- var length = %_ArgumentsLength(); |
- if (length == 2) { |
- arg1 = TO_NUMBER(arg1); |
- arg2 = TO_NUMBER(arg2); |
- if (arg2 > arg1) return arg1; |
- if (arg1 > arg2) return arg2; |
- if (arg1 == arg2) { |
- // Make sure -0 is considered less than +0. |
- return (arg1 === 0 && %_IsMinusZero(arg1)) ? arg1 : arg2; |
- } |
- // All comparisons failed, one of the arguments must be NaN. |
- return NAN; |
- } |
- var r = INFINITY; |
- for (var i = 0; i < length; i++) { |
- var n = %_Arguments(i); |
- n = TO_NUMBER(n); |
- // Make sure -0 is considered less than +0. |
- if (NUMBER_IS_NAN(n) || n < r || (r === 0 && n === 0 && %_IsMinusZero(n))) { |
- r = n; |
- } |
- } |
- return r; |
-} |
- |
-// ECMA 262 - 15.8.2.13 |
-function MathPowJS(x, y) { |
- return %_MathPow(TO_NUMBER(x), TO_NUMBER(y)); |
-} |
- |
-// ECMA 262 - 15.8.2.14 |
-function MathRandom() { |
- var r0 = (MathImul(18030, rngstate[0] & 0xFFFF) + (rngstate[0] >>> 16)) | 0; |
- rngstate[0] = r0; |
- var r1 = (MathImul(36969, rngstate[1] & 0xFFFF) + (rngstate[1] >>> 16)) | 0; |
- rngstate[1] = r1; |
- var x = ((r0 << 16) + (r1 & 0xFFFF)) | 0; |
- // Division by 0x100000000 through multiplication by reciprocal. |
- return (x < 0 ? (x + 0x100000000) : x) * 2.3283064365386962890625e-10; |
-} |
- |
-function MathRandomRaw() { |
- var r0 = (MathImul(18030, rngstate[0] & 0xFFFF) + (rngstate[0] >>> 16)) | 0; |
- rngstate[0] = r0; |
- var r1 = (MathImul(36969, rngstate[1] & 0xFFFF) + (rngstate[1] >>> 16)) | 0; |
- rngstate[1] = r1; |
- var x = ((r0 << 16) + (r1 & 0xFFFF)) | 0; |
- return x & 0x3fffffff; |
-} |
- |
-// ECMA 262 - 15.8.2.15 |
-function MathRound(x) { |
- return %RoundNumber(TO_NUMBER(x)); |
-} |
- |
-// ECMA 262 - 15.8.2.17 |
-function MathSqrtJS(x) { |
- return %_MathSqrt(+x); |
-} |
- |
-// Non-standard extension. |
-function MathImul(x, y) { |
- return %NumberImul(TO_NUMBER(x), TO_NUMBER(y)); |
-} |
- |
-// ES6 draft 09-27-13, section 20.2.2.28. |
-function MathSign(x) { |
- x = +x; |
- if (x > 0) return 1; |
- if (x < 0) return -1; |
- // -0, 0 or NaN. |
- return x; |
-} |
- |
-// ES6 draft 09-27-13, section 20.2.2.34. |
-function MathTrunc(x) { |
- x = +x; |
- if (x > 0) return %_MathFloor(x); |
- if (x < 0) return -%_MathFloor(-x); |
- // -0, 0 or NaN. |
- return x; |
-} |
- |
-// ES6 draft 09-27-13, section 20.2.2.33. |
-function MathTanh(x) { |
- x = TO_NUMBER(x); |
- // Idempotent for +/-0. |
- if (x === 0) return x; |
- // Returns +/-1 for +/-Infinity. |
- if (!NUMBER_IS_FINITE(x)) return MathSign(x); |
- var exp1 = MathExp(x); |
- var exp2 = MathExp(-x); |
- return (exp1 - exp2) / (exp1 + exp2); |
-} |
- |
-// ES6 draft 09-27-13, section 20.2.2.5. |
-function MathAsinh(x) { |
- x = TO_NUMBER(x); |
- // Idempotent for NaN, +/-0 and +/-Infinity. |
- if (x === 0 || !NUMBER_IS_FINITE(x)) return x; |
- if (x > 0) return MathLog(x + %_MathSqrt(x * x + 1)); |
- // This is to prevent numerical errors caused by large negative x. |
- return -MathLog(-x + %_MathSqrt(x * x + 1)); |
-} |
- |
-// ES6 draft 09-27-13, section 20.2.2.3. |
-function MathAcosh(x) { |
- x = TO_NUMBER(x); |
- if (x < 1) return NAN; |
- // Idempotent for NaN and +Infinity. |
- if (!NUMBER_IS_FINITE(x)) return x; |
- return MathLog(x + %_MathSqrt(x + 1) * %_MathSqrt(x - 1)); |
-} |
- |
-// ES6 draft 09-27-13, section 20.2.2.7. |
-function MathAtanh(x) { |
- x = TO_NUMBER(x); |
- // Idempotent for +/-0. |
- if (x === 0) return x; |
- // Returns NaN for NaN and +/- Infinity. |
- if (!NUMBER_IS_FINITE(x)) return NAN; |
- return 0.5 * MathLog((1 + x) / (1 - x)); |
-} |
- |
-// ES6 draft 09-27-13, section 20.2.2.17. |
-function MathHypot(x, y) { // Function length is 2. |
- // We may want to introduce fast paths for two arguments and when |
- // normalization to avoid overflow is not necessary. For now, we |
- // simply assume the general case. |
- var length = %_ArgumentsLength(); |
- var args = new InternalArray(length); |
- var max = 0; |
- for (var i = 0; i < length; i++) { |
- var n = %_Arguments(i); |
- n = TO_NUMBER(n); |
- if (n === INFINITY || n === -INFINITY) return INFINITY; |
- n = MathAbs(n); |
- if (n > max) max = n; |
- args[i] = n; |
- } |
- |
- // Kahan summation to avoid rounding errors. |
- // Normalize the numbers to the largest one to avoid overflow. |
- if (max === 0) max = 1; |
- var sum = 0; |
- var compensation = 0; |
- for (var i = 0; i < length; i++) { |
- var n = args[i] / max; |
- var summand = n * n - compensation; |
- var preliminary = sum + summand; |
- compensation = (preliminary - sum) - summand; |
- sum = preliminary; |
- } |
- return %_MathSqrt(sum) * max; |
-} |
- |
-// ES6 draft 09-27-13, section 20.2.2.16. |
-function MathFroundJS(x) { |
- return %MathFround(TO_NUMBER(x)); |
-} |
- |
-// ES6 draft 07-18-14, section 20.2.2.11 |
-function MathClz32JS(x) { |
- return %_MathClz32(x >>> 0); |
-} |
- |
-// ES6 draft 09-27-13, section 20.2.2.9. |
-// Cube root approximation, refer to: http://metamerist.com/cbrt/cbrt.htm |
-// Using initial approximation adapted from Kahan's cbrt and 4 iterations |
-// of Newton's method. |
-function MathCbrt(x) { |
- x = TO_NUMBER(x); |
- if (x == 0 || !NUMBER_IS_FINITE(x)) return x; |
- return x >= 0 ? CubeRoot(x) : -CubeRoot(-x); |
-} |
- |
-macro NEWTON_ITERATION_CBRT(x, approx) |
- (1.0 / 3.0) * (x / (approx * approx) + 2 * approx); |
-endmacro |
- |
-function CubeRoot(x) { |
- var approx_hi = MathFloorJS(%_DoubleHi(x) / 3) + 0x2A9F7893; |
- var approx = %_ConstructDouble(approx_hi, 0); |
- approx = NEWTON_ITERATION_CBRT(x, approx); |
- approx = NEWTON_ITERATION_CBRT(x, approx); |
- approx = NEWTON_ITERATION_CBRT(x, approx); |
- return NEWTON_ITERATION_CBRT(x, approx); |
-} |
- |
-// ------------------------------------------------------------------- |
- |
-%AddNamedProperty(GlobalMath, toStringTagSymbol, "Math", READ_ONLY | DONT_ENUM); |
- |
-// Set up math constants. |
-utils.InstallConstants(GlobalMath, [ |
- // ECMA-262, section 15.8.1.1. |
- "E", 2.7182818284590452354, |
- // ECMA-262, section 15.8.1.2. |
- "LN10", 2.302585092994046, |
- // ECMA-262, section 15.8.1.3. |
- "LN2", 0.6931471805599453, |
- // ECMA-262, section 15.8.1.4. |
- "LOG2E", 1.4426950408889634, |
- "LOG10E", 0.4342944819032518, |
- "PI", 3.1415926535897932, |
- "SQRT1_2", 0.7071067811865476, |
- "SQRT2", 1.4142135623730951 |
-]); |
- |
-// Set up non-enumerable functions of the Math object and |
-// set their names. |
-utils.InstallFunctions(GlobalMath, DONT_ENUM, [ |
- "random", MathRandom, |
- "abs", MathAbs, |
- "acos", MathAcosJS, |
- "asin", MathAsinJS, |
- "atan", MathAtanJS, |
- "ceil", MathCeil, |
- "exp", MathExp, |
- "floor", MathFloorJS, |
- "log", MathLog, |
- "round", MathRound, |
- "sqrt", MathSqrtJS, |
- "atan2", MathAtan2JS, |
- "pow", MathPowJS, |
- "max", MathMax, |
- "min", MathMin, |
- "imul", MathImul, |
- "sign", MathSign, |
- "trunc", MathTrunc, |
- "tanh", MathTanh, |
- "asinh", MathAsinh, |
- "acosh", MathAcosh, |
- "atanh", MathAtanh, |
- "hypot", MathHypot, |
- "fround", MathFroundJS, |
- "clz32", MathClz32JS, |
- "cbrt", MathCbrt |
-]); |
- |
-%SetForceInlineFlag(MathAbs); |
-%SetForceInlineFlag(MathAcosJS); |
-%SetForceInlineFlag(MathAsinJS); |
-%SetForceInlineFlag(MathAtanJS); |
-%SetForceInlineFlag(MathAtan2JS); |
-%SetForceInlineFlag(MathCeil); |
-%SetForceInlineFlag(MathClz32JS); |
-%SetForceInlineFlag(MathFloorJS); |
-%SetForceInlineFlag(MathRandom); |
-%SetForceInlineFlag(MathSign); |
-%SetForceInlineFlag(MathSqrtJS); |
-%SetForceInlineFlag(MathTrunc); |
- |
-// ------------------------------------------------------------------- |
-// Exports |
- |
-utils.Export(function(to) { |
- to.MathAbs = MathAbs; |
- to.MathExp = MathExp; |
- to.MathFloor = MathFloorJS; |
- to.IntRandom = MathRandomRaw; |
- to.MathMax = MathMax; |
- to.MathMin = MathMin; |
-}); |
- |
-}) |