| /* |
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| * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER. |
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| * This code is free software; you can redistribute it and/or modify it |
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| * particular file as subject to the "Classpath" exception as provided |
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| * |
| * This code is distributed in the hope that it will be useful, but WITHOUT |
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| * FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License |
| * version 2 for more details (a copy is included in the LICENSE file that |
| * accompanied this code). |
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| |
| // This file is available under and governed by the GNU General Public |
| // License version 2 only, as published by the Free Software Foundation. |
| // However, the following notice accompanied the original version of this |
| // file: |
| // |
| // 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, |
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| // LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, |
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| // 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. |
| |
| package jdk.nashorn.internal.runtime.doubleconv; |
| |
| // 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). |
| class DiyFp { |
| |
| private long f_; |
| private int e_; |
| |
| static final int kSignificandSize = 64; |
| static final long kUint64MSB = 0x8000000000000000L; |
| |
| |
| DiyFp() { |
| this.f_ = 0; |
| this.e_ = 0; |
| } |
| |
| DiyFp(final long f, final int e) { |
| this.f_ = f; |
| this.e_ = e; |
| } |
| |
| // 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. |
| void subtract(final DiyFp other) { |
| assert (e_ == other.e_); |
| assert Long.compareUnsigned(f_, other.f_) >= 0; |
| 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. |
| static DiyFp minus(final DiyFp a, final DiyFp b) { |
| final DiyFp result = new DiyFp(a.f_, a.e_); |
| result.subtract(b); |
| return result; |
| } |
| |
| |
| // this = this * other. |
| final void multiply(final 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. |
| final long kM32 = 0xFFFFFFFFL; |
| final long a = f_ >>> 32; |
| final long b = f_ & kM32; |
| final long c = other.f_ >>> 32; |
| final long d = other.f_ & kM32; |
| final long ac = a * c; |
| final long bc = b * c; |
| final long ad = a * d; |
| final long bd = b * d; |
| long tmp = (bd >>> 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; |
| final long result_f = ac + (ad >>> 32) + (bc >>> 32) + (tmp >>> 32); |
| e_ += other.e_ + 64; |
| f_ = result_f; |
| } |
| |
| // returns a * b; |
| static DiyFp times(final DiyFp a, final DiyFp b) { |
| final DiyFp result = new DiyFp(a.f_, a.e_); |
| result.multiply(b); |
| return result; |
| } |
| |
| void normalize() { |
| assert(f_ != 0); |
| long significand = this.f_; |
| int exponent = this.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. |
| final long k10MSBits = 0xFFC00000L << 32; |
| while ((significand & k10MSBits) == 0) { |
| significand <<= 10; |
| exponent -= 10; |
| } |
| while ((significand & kUint64MSB) == 0) { |
| significand <<= 1; |
| exponent--; |
| } |
| this.f_ = significand; |
| this.e_ = exponent; |
| } |
| |
| static DiyFp normalize(final DiyFp a) { |
| final DiyFp result = new DiyFp(a.f_, a.e_); |
| result.normalize(); |
| return result; |
| } |
| |
| long f() { return f_; } |
| int e() { return e_; } |
| |
| void setF(final long new_value) { f_ = new_value; } |
| void setE(final int new_value) { e_ = new_value; } |
| |
| @Override |
| public String toString() { |
| return "DiyFp[f=" + f_ + ", e=" + e_ + "]"; |
| } |
| |
| } |