// Copyright 2010 the V8 project authors. All rights reserved. // Redistribution and use in source and binary forms, with or without // modification, are permitted provided that the following conditions are // met: // // * Redistributions of source code must retain the above copyright // notice, this list of conditions and the following disclaimer. // * Redistributions in binary form must reproduce the above // copyright notice, this list of conditions and the following // disclaimer in the documentation and/or other materials provided // with the distribution. // * Neither the name of Google Inc. nor the names of its // contributors may be used to endorse or promote products derived // from this software without specific prior written permission. // // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR // A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT // OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, // SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT // LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, // DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY // THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT // (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE // OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. // Ported to Java from Mozilla's version of V8-dtoa by Hannes Wallnoefer. // The original revision was 67d1049b0bf9 from the mozilla-central tree. using System.Diagnostics; namespace Jint.Native.Number.Dtoa { // This "Do It Yourself Floating Point" class implements a floating-point number // with a uint64 significand and an int exponent. Normalized DiyFp numbers will // have the most significant bit of the significand set. // Multiplication and Subtraction do not normalize their results. // DiyFp are not designed to contain special doubles (NaN and Infinity). internal class DiyFp { internal const int KSignificandSize = 64; private const ulong KUint64MSB = 0x8000000000000000L; internal DiyFp() { F = 0; E = 0; } internal DiyFp(long f, int e) { F = f; E = e; } public long F { get; set; } public int E { get; set; } private static bool Uint64Gte(long a, long b) { // greater-or-equal for unsigned int64 in java-style... return (a == b) || ((a > b) ^ (a < 0) ^ (b < 0)); } // this = this - other. // The exponents of both numbers must be the same and the significand of this // must be bigger than the significand of other. // The result will not be normalized. private void Subtract(DiyFp other) { Debug.Assert(E == other.E); Debug.Assert(Uint64Gte(F, other.F)); F -= other.F; } // Returns a - b. // The exponents of both numbers must be the same and this must be bigger // than other. The result will not be normalized. internal static DiyFp Minus(DiyFp a, DiyFp b) { DiyFp result = new DiyFp(a.F, a.E); result.Subtract(b); return result; } // this = this * other. private void Multiply(DiyFp other) { // Simply "emulates" a 128 bit multiplication. // However: the resulting number only contains 64 bits. The least // significant 64 bits are only used for rounding the most significant 64 // bits. const long kM32 = 0xFFFFFFFFL; long a = F.UnsignedShift(32); long b = F & kM32; long c = other.F.UnsignedShift(32); long d = other.F & kM32; long ac = a*c; long bc = b*c; long ad = a*d; long bd = b*d; long tmp = bd.UnsignedShift(32) + (ad & kM32) + (bc & kM32); // By adding 1U << 31 to tmp we round the final result. // Halfway cases will be round up. tmp += 1L << 31; long resultF = ac + ad.UnsignedShift(32) + bc.UnsignedShift(32) + tmp.UnsignedShift(32); E += other.E + 64; F = resultF; } // returns a * b; internal static DiyFp Times(DiyFp a, DiyFp b) { DiyFp result = new DiyFp(a.F, a.E); result.Multiply(b); return result; } internal void Normalize() { long f = F; int e = E; // This method is mainly called for normalizing boundaries. In general // boundaries need to be shifted by 10 bits. We thus optimize for this case. const long k10MsBits = 0xFFC00000L << 32; while ((f & k10MsBits) == 0) { f <<= 10; e -= 10; } while (((ulong) f & KUint64MSB) == 0) { f <<= 1; e--; } F = f; E = e; } public override string ToString() { return "[DiyFp f:" + F + ", e:" + E + "]"; } } }