blob: fc61cdbbed5b5551c940e00a9b12f95ec22066d9 [file] [log] [blame]
/*
* Copyright (c) 2015, Oracle and/or its affiliates. All rights reserved.
* DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER.
*
* This code is free software; you can redistribute it and/or modify it
* under the terms of the GNU General Public License version 2 only, as
* published by the Free Software Foundation. Oracle designates this
* particular file as subject to the "Classpath" exception as provided
* by Oracle in the LICENSE file that accompanied this code.
*
* This code is distributed in the hope that it will be useful, but WITHOUT
* ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
* 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).
*
* You should have received a copy of the GNU General Public License version
* 2 along with this work; if not, write to the Free Software Foundation,
* Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA.
*
* Please contact Oracle, 500 Oracle Parkway, Redwood Shores, CA 94065 USA
* or visit www.oracle.com if you need additional information or have any
* questions.
*/
// 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,
// 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.
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_ + "]";
}
}