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137 lines
4.6 KiB
D
137 lines
4.6 KiB
D
// Written in the D programming language
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/*
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* Authors:
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* Walter Bright, Don Clugston
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* Copyright:
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* Copyright (c) 2001-2005 by Digital Mars,
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* All Rights Reserved,
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* www.digitalmars.com
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* License:
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* This software is provided 'as-is', without any express or implied
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* warranty. In no event will the authors be held liable for any damages
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* arising from the use of this software.
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*
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* Permission is granted to anyone to use this software for any purpose,
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* including commercial applications, and to alter it and redistribute it
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* freely, subject to the following restrictions:
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*
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* <ul>
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* <li> The origin of this software must not be misrepresented; you must not
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* claim that you wrote the original software. If you use this software
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* in a product, an acknowledgment in the product documentation would be
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* appreciated but is not required.
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* </li>
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* <li> Altered source versions must be plainly marked as such, and must not
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* be misrepresented as being the original software.
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* </li>
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* <li> This notice may not be removed or altered from any source
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* distribution.
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* </li>
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* </ul>
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*/
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/* Cut down version for libtangobos-partial/dstress */
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module tango.math.IEEE;
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private:
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/*
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* The following IEEE 'real' formats are currently supported:
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* 64 bit Big-endian 'double' (eg PowerPC)
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* 128 bit Big-endian 'quadruple' (eg SPARC)
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* 64 bit Little-endian 'double' (eg x86-SSE2)
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* 80 bit Little-endian, with implied bit 'real80' (eg x87, Itanium).
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* 128 bit Little-endian 'quadruple' (not implemented on any known processor!)
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*
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* Non-IEEE 128 bit Big-endian 'doubledouble' (eg PowerPC) has partial support
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*/
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version(LittleEndian) {
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static assert(real.mant_dig == 53 || real.mant_dig==64
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|| real.mant_dig == 113,
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"Only 64-bit, 80-bit, and 128-bit reals"
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" are supported for LittleEndian CPUs");
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} else {
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static assert(real.mant_dig == 53 || real.mant_dig==106
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|| real.mant_dig == 113,
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"Only 64-bit and 128-bit reals are supported for BigEndian CPUs."
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" double-double reals have partial support");
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}
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// Constants used for extracting the components of the representation.
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// They supplement the built-in floating point properties.
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template floatTraits(T) {
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// EXPMASK is a ushort mask to select the exponent portion (without sign)
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// POW2MANTDIG = pow(2, real.mant_dig) is the value such that
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// (smallest_denormal)*POW2MANTDIG == real.min
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// EXPPOS_SHORT is the index of the exponent when represented as a ushort array.
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// SIGNPOS_BYTE is the index of the sign when represented as a ubyte array.
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static if (T.mant_dig == 24) { // float
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const ushort EXPMASK = 0x7F80;
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const ushort EXPBIAS = 0x3F00;
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const uint EXPMASK_INT = 0x7F80_0000;
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const uint MANTISSAMASK_INT = 0x007F_FFFF;
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const real POW2MANTDIG = 0x1p+24;
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version(LittleEndian) {
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const EXPPOS_SHORT = 1;
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} else {
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const EXPPOS_SHORT = 0;
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}
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} else static if (T.mant_dig == 53) { // double, or real==double
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const ushort EXPMASK = 0x7FF0;
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const ushort EXPBIAS = 0x3FE0;
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const uint EXPMASK_INT = 0x7FF0_0000;
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const uint MANTISSAMASK_INT = 0x000F_FFFF; // for the MSB only
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const real POW2MANTDIG = 0x1p+53;
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version(LittleEndian) {
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const EXPPOS_SHORT = 3;
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const SIGNPOS_BYTE = 7;
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} else {
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const EXPPOS_SHORT = 0;
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const SIGNPOS_BYTE = 0;
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}
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} else static if (T.mant_dig == 64) { // real80
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const ushort EXPMASK = 0x7FFF;
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const ushort EXPBIAS = 0x3FFE;
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const real POW2MANTDIG = 0x1p+63;
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version(LittleEndian) {
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const EXPPOS_SHORT = 4;
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const SIGNPOS_BYTE = 9;
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} else {
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const EXPPOS_SHORT = 0;
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const SIGNPOS_BYTE = 0;
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}
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} else static if (real.mant_dig == 113){ // quadruple
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const ushort EXPMASK = 0x7FFF;
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const real POW2MANTDIG = 0x1p+113;
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version(LittleEndian) {
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const EXPPOS_SHORT = 7;
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const SIGNPOS_BYTE = 15;
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} else {
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const EXPPOS_SHORT = 0;
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const SIGNPOS_BYTE = 0;
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}
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} else static if (real.mant_dig == 106) { // doubledouble
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const ushort EXPMASK = 0x7FF0;
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const real POW2MANTDIG = 0x1p+53; // doubledouble denormals are strange
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// and the exponent byte is not unique
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version(LittleEndian) {
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const EXPPOS_SHORT = 7; // [3] is also an exp short
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const SIGNPOS_BYTE = 15;
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} else {
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const EXPPOS_SHORT = 0; // [4] is also an exp short
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const SIGNPOS_BYTE = 0;
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}
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}
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}
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public:
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/*********************************
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* Return 1 if sign bit of e is set, 0 if not.
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*/
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int signbit(real x)
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{
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return ((cast(ubyte *)&x)[floatTraits!(real).SIGNPOS_BYTE] & 0x80) != 0;
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}
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