| /* origin: FreeBSD /usr/src/lib/msun/ld80/k_sinl.c */ |
| /* origin: FreeBSD /usr/src/lib/msun/ld128/k_sinl.c */ |
| /* |
| * ==================================================== |
| * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| * Copyright (c) 2008 Steven G. Kargl, David Schultz, Bruce D. Evans. |
| * |
| * Developed at SunSoft, a Sun Microsystems, Inc. business. |
| * Permission to use, copy, modify, and distribute this |
| * software is freely granted, provided that this notice |
| * is preserved. |
| * ==================================================== |
| */ |
| |
| #include "libm.h" |
| |
| #if (LDBL_MANT_DIG == 64 || LDBL_MANT_DIG == 113) && LDBL_MAX_EXP == 16384 |
| #if LDBL_MANT_DIG == 64 |
| /* |
| * ld80 version of __sin.c. See __sin.c for most comments. |
| */ |
| /* |
| * Domain [-0.7854, 0.7854], range ~[-1.89e-22, 1.915e-22] |
| * |sin(x)/x - s(x)| < 2**-72.1 |
| * |
| * See __cosl.c for more details about the polynomial. |
| */ |
| static const long double |
| S1 = -0.166666666666666666671L; /* -0xaaaaaaaaaaaaaaab.0p-66 */ |
| static const double |
| S2 = 0.0083333333333333332, /* 0x11111111111111.0p-59 */ |
| S3 = -0.00019841269841269427, /* -0x1a01a01a019f81.0p-65 */ |
| S4 = 0.0000027557319223597490, /* 0x171de3a55560f7.0p-71 */ |
| S5 = -0.000000025052108218074604, /* -0x1ae64564f16cad.0p-78 */ |
| S6 = 1.6059006598854211e-10, /* 0x161242b90243b5.0p-85 */ |
| S7 = -7.6429779983024564e-13, /* -0x1ae42ebd1b2e00.0p-93 */ |
| S8 = 2.6174587166648325e-15; /* 0x179372ea0b3f64.0p-101 */ |
| #define POLY(z) (S2+z*(S3+z*(S4+z*(S5+z*(S6+z*(S7+z*S8)))))) |
| #elif LDBL_MANT_DIG == 113 |
| /* |
| * ld128 version of __sin.c. See __sin.c for most comments. |
| */ |
| /* |
| * Domain [-0.7854, 0.7854], range ~[-1.53e-37, 1.659e-37] |
| * |sin(x)/x - s(x)| < 2**-122.1 |
| * |
| * See __cosl.c for more details about the polynomial. |
| */ |
| static const long double |
| S1 = -0.16666666666666666666666666666666666606732416116558L, |
| S2 = 0.0083333333333333333333333333333331135404851288270047L, |
| S3 = -0.00019841269841269841269841269839935785325638310428717L, |
| S4 = 0.27557319223985890652557316053039946268333231205686e-5L, |
| S5 = -0.25052108385441718775048214826384312253862930064745e-7L, |
| S6 = 0.16059043836821614596571832194524392581082444805729e-9L, |
| S7 = -0.76471637318198151807063387954939213287488216303768e-12L, |
| S8 = 0.28114572543451292625024967174638477283187397621303e-14L; |
| static const double |
| S9 = -0.82206352458348947812512122163446202498005154296863e-17, |
| S10 = 0.19572940011906109418080609928334380560135358385256e-19, |
| S11 = -0.38680813379701966970673724299207480965452616911420e-22, |
| S12 = 0.64038150078671872796678569586315881020659912139412e-25; |
| #define POLY(z) (S2+z*(S3+z*(S4+z*(S5+z*(S6+z*(S7+z*(S8+ \ |
| z*(S9+z*(S10+z*(S11+z*S12)))))))))) |
| #endif |
| |
| long double __sinl(long double x, long double y, int iy) |
| { |
| long double z,r,v; |
| |
| z = x*x; |
| v = z*x; |
| r = POLY(z); |
| if (iy == 0) |
| return x+v*(S1+z*r); |
| return x-((z*(0.5*y-v*r)-y)-v*S1); |
| } |
| #endif |
