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60 lines
1.9 KiB
60 lines
1.9 KiB
4 months ago
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/* From: @(#)k_sin.c 1.3 95/01/18 */
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/*
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* ====================================================
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* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
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* Copyright (c) 2008 Steven G. Kargl, David Schultz, Bruce D. Evans.
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*
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* Developed at SunSoft, a Sun Microsystems, Inc. business.
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* Permission to use, copy, modify, and distribute this
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* software is freely granted, provided that this notice
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* is preserved.
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* ====================================================
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*/
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#include <sys/cdefs.h>
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__FBSDID("$FreeBSD$");
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/*
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* ld128 version of k_sin.c. See ../src/k_sin.c for most comments.
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*/
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#include "math_private.h"
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static const double
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half = 0.5;
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/*
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* Domain [-0.7854, 0.7854], range ~[-1.53e-37, 1.659e-37]
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* |sin(x)/x - s(x)| < 2**-122.1
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*
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* See ../ld80/k_cosl.c for more details about the polynomial.
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*/
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static const long double
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S1 = -0.16666666666666666666666666666666666606732416116558L,
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S2 = 0.0083333333333333333333333333333331135404851288270047L,
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S3 = -0.00019841269841269841269841269839935785325638310428717L,
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S4 = 0.27557319223985890652557316053039946268333231205686e-5L,
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S5 = -0.25052108385441718775048214826384312253862930064745e-7L,
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S6 = 0.16059043836821614596571832194524392581082444805729e-9L,
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S7 = -0.76471637318198151807063387954939213287488216303768e-12L,
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S8 = 0.28114572543451292625024967174638477283187397621303e-14L;
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static const double
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S9 = -0.82206352458348947812512122163446202498005154296863e-17,
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S10 = 0.19572940011906109418080609928334380560135358385256e-19,
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S11 = -0.38680813379701966970673724299207480965452616911420e-22,
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S12 = 0.64038150078671872796678569586315881020659912139412e-25;
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long double
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__kernel_sinl(long double x, long double y, int iy)
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{
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long double z,r,v;
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z = x*x;
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v = z*x;
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r = S2+z*(S3+z*(S4+z*(S5+z*(S6+z*(S7+z*(S8+
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z*(S9+z*(S10+z*(S11+z*S12)))))))));
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if(iy==0) return x+v*(S1+z*r);
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else return x-((z*(half*y-v*r)-y)-v*S1);
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}
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