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277 lines
11 KiB
C
277 lines
11 KiB
C
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/* const.c
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*
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* Globally declared constants
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*
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*
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*
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* SYNOPSIS:
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*
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* extern double nameofconstant;
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*
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*
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*
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*
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* DESCRIPTION:
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*
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* This file contains a number of mathematical constants and
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* also some needed size parameters of the computer arithmetic.
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* The values are supplied as arrays of hexadecimal integers
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* for IEEE arithmetic; arrays of octal constants for DEC
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* arithmetic; and in a normal decimal scientific notation for
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* other machines. The particular notation used is determined
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* by a symbol (DEC, IBMPC, or UNK) defined in the include file
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* mconf.h.
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*
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* The default size parameters are as follows.
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*
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* For DEC and UNK modes:
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* MACHEP = 1.38777878078144567553E-17 2**-56
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* MAXLOG = 8.8029691931113054295988E1 log(2**127)
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* MINLOG = -8.872283911167299960540E1 log(2**-128)
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* MAXNUM = 1.701411834604692317316873e38 2**127
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*
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* For IEEE arithmetic (IBMPC):
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* MACHEP = 1.11022302462515654042E-16 2**-53
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* MAXLOG = 7.09782712893383996843E2 log(2**1024)
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* MINLOG = -7.08396418532264106224E2 log(2**-1022)
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* MAXNUM = 1.7976931348623158E308 2**1024
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*
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* The global symbols for mathematical constants are
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* PI = 3.14159265358979323846 pi
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* PIO2 = 1.57079632679489661923 pi/2
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* PIO4 = 7.85398163397448309616E-1 pi/4
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* SQRT2 = 1.41421356237309504880 sqrt(2)
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* SQRTH = 7.07106781186547524401E-1 sqrt(2)/2
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* LOG2E = 1.4426950408889634073599 1/log(2)
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* SQ2OPI = 7.9788456080286535587989E-1 sqrt( 2/pi )
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* LOGE2 = 6.93147180559945309417E-1 log(2)
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* LOGSQ2 = 3.46573590279972654709E-1 log(2)/2
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* THPIO4 = 2.35619449019234492885 3*pi/4
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* TWOOPI = 6.36619772367581343075535E-1 2/pi
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*
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* These lists are subject to change.
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*/
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/* const.c */
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/*
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Cephes Math Library Release 2.3: March, 1995
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Copyright 1984, 1995 by Stephen L. Moshier
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Redistribution and use in source and binary forms, with or without
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modification, are permitted provided that the following conditions are met:
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1. Redistributions of source code must retain the above copyright notice,
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this list of conditions and the following disclaimer.
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2. Redistributions in binary form must reproduce the above copyright
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notice, this list of conditions and the following disclaimer in the
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documentation and/or other materials provided with the distribution.
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3. Neither the name of the <ORGANIZATION> nor the names of its
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contributors may be used to endorse or promote products derived from
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this software without specific prior written permission.
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THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
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AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
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ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
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LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
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CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
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SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
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INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
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CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
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ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
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POSSIBILITY OF SUCH DAMAGE.
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*/
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#include "mconf.h"
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#ifdef UNK
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#if 1
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double MACHEP = 1.11022302462515654042E-16; /* 2**-53 */
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#else
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double MACHEP = 1.38777878078144567553E-17; /* 2**-56 */
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#endif
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double UFLOWTHRESH = 2.22507385850720138309E-308; /* 2**-1022 */
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#ifdef DENORMAL
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double MAXLOG = 7.09782712893383996732E2; /* log(MAXNUM) */
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/* double MINLOG = -7.44440071921381262314E2; */ /* log(2**-1074) */
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double MINLOG = -7.451332191019412076235E2; /* log(2**-1075) */
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#else
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double MAXLOG = 7.08396418532264106224E2; /* log 2**1022 */
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double MINLOG = -7.08396418532264106224E2; /* log 2**-1022 */
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#endif
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double MAXNUM = 1.79769313486231570815E308; /* 2**1024*(1-MACHEP) */
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double PI = 3.14159265358979323846; /* pi */
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double PIO2 = 1.57079632679489661923; /* pi/2 */
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double PIO4 = 7.85398163397448309616E-1; /* pi/4 */
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double SQRT2 = 1.41421356237309504880; /* sqrt(2) */
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double SQRTH = 7.07106781186547524401E-1; /* sqrt(2)/2 */
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double LOG2E = 1.4426950408889634073599; /* 1/log(2) */
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double SQ2OPI = 7.9788456080286535587989E-1; /* sqrt( 2/pi ) */
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double LOGE2 = 6.93147180559945309417E-1; /* log(2) */
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double LOGSQ2 = 3.46573590279972654709E-1; /* log(2)/2 */
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double THPIO4 = 2.35619449019234492885; /* 3*pi/4 */
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double TWOOPI = 6.36619772367581343075535E-1; /* 2/pi */
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#ifdef INFINITIES
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double INFINITY = 1.0/0.0; /* 99e999; */
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#else
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double INFINITY = 1.79769313486231570815E308; /* 2**1024*(1-MACHEP) */
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#endif
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#ifdef NANS
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double NAN = 1.0/0.0 - 1.0/0.0;
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#else
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double NAN = 0.0;
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#endif
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#ifdef MINUSZERO
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double NEGZERO = -0.0;
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#else
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double NEGZERO = 0.0;
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#endif
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#endif
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#ifdef IBMPC
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/* 2**-53 = 1.11022302462515654042E-16 */
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unsigned short MACHEP[4] = {0x0000,0x0000,0x0000,0x3ca0};
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unsigned short UFLOWTHRESH[4] = {0x0000,0x0000,0x0000,0x0010};
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#ifdef DENORMAL
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/* log(MAXNUM) = 7.09782712893383996732224E2 */
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unsigned short MAXLOG[4] = {0x39ef,0xfefa,0x2e42,0x4086};
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/* log(2**-1074) = - -7.44440071921381262314E2 */
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/*unsigned short MINLOG[4] = {0x71c3,0x446d,0x4385,0xc087};*/
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unsigned short MINLOG[4] = {0x3052,0xd52d,0x4910,0xc087};
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#else
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/* log(2**1022) = 7.08396418532264106224E2 */
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unsigned short MAXLOG[4] = {0xbcd2,0xdd7a,0x232b,0x4086};
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/* log(2**-1022) = - 7.08396418532264106224E2 */
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unsigned short MINLOG[4] = {0xbcd2,0xdd7a,0x232b,0xc086};
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#endif
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/* 2**1024*(1-MACHEP) = 1.7976931348623158E308 */
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unsigned short MAXNUM[4] = {0xffff,0xffff,0xffff,0x7fef};
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unsigned short PI[4] = {0x2d18,0x5444,0x21fb,0x4009};
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unsigned short PIO2[4] = {0x2d18,0x5444,0x21fb,0x3ff9};
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unsigned short PIO4[4] = {0x2d18,0x5444,0x21fb,0x3fe9};
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unsigned short SQRT2[4] = {0x3bcd,0x667f,0xa09e,0x3ff6};
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unsigned short SQRTH[4] = {0x3bcd,0x667f,0xa09e,0x3fe6};
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unsigned short LOG2E[4] = {0x82fe,0x652b,0x1547,0x3ff7};
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unsigned short SQ2OPI[4] = {0x3651,0x33d4,0x8845,0x3fe9};
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unsigned short LOGE2[4] = {0x39ef,0xfefa,0x2e42,0x3fe6};
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unsigned short LOGSQ2[4] = {0x39ef,0xfefa,0x2e42,0x3fd6};
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unsigned short THPIO4[4] = {0x21d2,0x7f33,0xd97c,0x4002};
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unsigned short TWOOPI[4] = {0xc883,0x6dc9,0x5f30,0x3fe4};
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#ifdef INFINITIES
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unsigned short INFINITY[4] = {0x0000,0x0000,0x0000,0x7ff0};
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#else
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unsigned short INFINITY[4] = {0xffff,0xffff,0xffff,0x7fef};
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#endif
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#ifdef NANS
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unsigned short NAN[4] = {0x0000,0x0000,0x0000,0x7ffc};
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#else
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unsigned short NAN[4] = {0x0000,0x0000,0x0000,0x0000};
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#endif
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#ifdef MINUSZERO
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unsigned short NEGZERO[4] = {0x0000,0x0000,0x0000,0x8000};
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#else
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unsigned short NEGZERO[4] = {0x0000,0x0000,0x0000,0x0000};
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#endif
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#endif
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#ifdef MIEEE
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/* 2**-53 = 1.11022302462515654042E-16 */
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unsigned short MACHEP[4] = {0x3ca0,0x0000,0x0000,0x0000};
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unsigned short UFLOWTHRESH[4] = {0x0010,0x0000,0x0000,0x0000};
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#ifdef DENORMAL
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/* log(2**1024) = 7.09782712893383996843E2 */
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unsigned short MAXLOG[4] = {0x4086,0x2e42,0xfefa,0x39ef};
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/* log(2**-1074) = - -7.44440071921381262314E2 */
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/* unsigned short MINLOG[4] = {0xc087,0x4385,0x446d,0x71c3}; */
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unsigned short MINLOG[4] = {0xc087,0x4910,0xd52d,0x3052};
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#else
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/* log(2**1022) = 7.08396418532264106224E2 */
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unsigned short MAXLOG[4] = {0x4086,0x232b,0xdd7a,0xbcd2};
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/* log(2**-1022) = - 7.08396418532264106224E2 */
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unsigned short MINLOG[4] = {0xc086,0x232b,0xdd7a,0xbcd2};
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#endif
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/* 2**1024*(1-MACHEP) = 1.7976931348623158E308 */
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unsigned short MAXNUM[4] = {0x7fef,0xffff,0xffff,0xffff};
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unsigned short PI[4] = {0x4009,0x21fb,0x5444,0x2d18};
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unsigned short PIO2[4] = {0x3ff9,0x21fb,0x5444,0x2d18};
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unsigned short PIO4[4] = {0x3fe9,0x21fb,0x5444,0x2d18};
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unsigned short SQRT2[4] = {0x3ff6,0xa09e,0x667f,0x3bcd};
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unsigned short SQRTH[4] = {0x3fe6,0xa09e,0x667f,0x3bcd};
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unsigned short LOG2E[4] = {0x3ff7,0x1547,0x652b,0x82fe};
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unsigned short SQ2OPI[4] = {0x3fe9,0x8845,0x33d4,0x3651};
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unsigned short LOGE2[4] = {0x3fe6,0x2e42,0xfefa,0x39ef};
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unsigned short LOGSQ2[4] = {0x3fd6,0x2e42,0xfefa,0x39ef};
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unsigned short THPIO4[4] = {0x4002,0xd97c,0x7f33,0x21d2};
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unsigned short TWOOPI[4] = {0x3fe4,0x5f30,0x6dc9,0xc883};
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#ifdef INFINITIES
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unsigned short INFINITY[4] = {0x7ff0,0x0000,0x0000,0x0000};
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#else
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unsigned short INFINITY[4] = {0x7fef,0xffff,0xffff,0xffff};
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#endif
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#ifdef NANS
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unsigned short NAN[4] = {0x7ff8,0x0000,0x0000,0x0000};
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#else
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unsigned short NAN[4] = {0x0000,0x0000,0x0000,0x0000};
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#endif
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#ifdef MINUSZERO
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unsigned short NEGZERO[4] = {0x8000,0x0000,0x0000,0x0000};
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#else
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unsigned short NEGZERO[4] = {0x0000,0x0000,0x0000,0x0000};
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#endif
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#endif
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#ifdef DEC
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/* 2**-56 = 1.38777878078144567553E-17 */
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unsigned short MACHEP[4] = {0022200,0000000,0000000,0000000};
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unsigned short UFLOWTHRESH[4] = {0x0080,0x0000,0x0000,0x0000};
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/* log 2**127 = 88.029691931113054295988 */
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unsigned short MAXLOG[4] = {041660,007463,0143742,025733,};
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/* log 2**-128 = -88.72283911167299960540 */
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unsigned short MINLOG[4] = {0141661,071027,0173721,0147572,};
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/* 2**127 = 1.701411834604692317316873e38 */
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unsigned short MAXNUM[4] = {077777,0177777,0177777,0177777,};
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unsigned short PI[4] = {040511,007732,0121041,064302,};
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unsigned short PIO2[4] = {040311,007732,0121041,064302,};
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unsigned short PIO4[4] = {040111,007732,0121041,064302,};
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unsigned short SQRT2[4] = {040265,002363,031771,0157145,};
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unsigned short SQRTH[4] = {040065,002363,031771,0157144,};
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unsigned short LOG2E[4] = {040270,0125073,024534,013761,};
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unsigned short SQ2OPI[4] = {040114,041051,0117241,0131204,};
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unsigned short LOGE2[4] = {040061,071027,0173721,0147572,};
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unsigned short LOGSQ2[4] = {037661,071027,0173721,0147572,};
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unsigned short THPIO4[4] = {040426,0145743,0174631,007222,};
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unsigned short TWOOPI[4] = {040042,0174603,067116,042025,};
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/* Approximate infinity by MAXNUM. */
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unsigned short INFINITY[4] = {077777,0177777,0177777,0177777,};
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unsigned short NAN[4] = {0000000,0000000,0000000,0000000};
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#ifdef MINUSZERO
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unsigned short NEGZERO[4] = {0000000,0000000,0000000,0100000};
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#else
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unsigned short NEGZERO[4] = {0000000,0000000,0000000,0000000};
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#endif
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#endif
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#ifndef UNK
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extern unsigned short MACHEP[];
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extern unsigned short UFLOWTHRESH[];
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extern unsigned short MAXLOG[];
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extern unsigned short UNDLOG[];
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extern unsigned short MINLOG[];
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extern unsigned short MAXNUM[];
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extern unsigned short PI[];
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extern unsigned short PIO2[];
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extern unsigned short PIO4[];
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extern unsigned short SQRT2[];
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extern unsigned short SQRTH[];
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extern unsigned short LOG2E[];
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extern unsigned short SQ2OPI[];
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extern unsigned short LOGE2[];
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extern unsigned short LOGSQ2[];
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extern unsigned short THPIO4[];
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extern unsigned short TWOOPI[];
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extern unsigned short INFINITY[];
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extern unsigned short NAN[];
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extern unsigned short NEGZERO[];
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#endif
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