79 lines
2.8 KiB
C
79 lines
2.8 KiB
C
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/* origin: FreeBSD /usr/src/lib/msun/ld80/k_sinl.c */
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/* origin: FreeBSD /usr/src/lib/msun/ld128/k_sinl.c */
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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 "libm.h"
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#if (LDBL_MANT_DIG == 64 || LDBL_MANT_DIG == 113) && LDBL_MAX_EXP == 16384
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#if LDBL_MANT_DIG == 64
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/*
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* ld80 version of __sin.c. See __sin.c for most comments.
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*/
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/*
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* Domain [-0.7854, 0.7854], range ~[-1.89e-22, 1.915e-22]
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* |sin(x)/x - s(x)| < 2**-72.1
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*
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* See __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 = -0.166666666666666666671L; /* -0xaaaaaaaaaaaaaaab.0p-66 */
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static const double
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S2 = 0.0083333333333333332, /* 0x11111111111111.0p-59 */
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S3 = -0.00019841269841269427, /* -0x1a01a01a019f81.0p-65 */
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S4 = 0.0000027557319223597490, /* 0x171de3a55560f7.0p-71 */
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S5 = -0.000000025052108218074604, /* -0x1ae64564f16cad.0p-78 */
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S6 = 1.6059006598854211e-10, /* 0x161242b90243b5.0p-85 */
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S7 = -7.6429779983024564e-13, /* -0x1ae42ebd1b2e00.0p-93 */
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S8 = 2.6174587166648325e-15; /* 0x179372ea0b3f64.0p-101 */
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#define POLY(z) (S2+z*(S3+z*(S4+z*(S5+z*(S6+z*(S7+z*S8))))))
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#elif LDBL_MANT_DIG == 113
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/*
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* ld128 version of __sin.c. See __sin.c for most comments.
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*/
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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 __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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#define POLY(z) (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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#endif
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long double __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 = POLY(z);
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if (iy == 0)
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return x+v*(S1+z*r);
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return x-((z*(0.5*y-v*r)-y)-v*S1);
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}
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#endif
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