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Diffstat (limited to 'lib/libm/__sinl.c')
| -rw-r--r-- | lib/libm/__sinl.c | 87 |
1 files changed, 87 insertions, 0 deletions
diff --git a/lib/libm/__sinl.c b/lib/libm/__sinl.c new file mode 100644 index 00000000..afd36211 --- /dev/null +++ b/lib/libm/__sinl.c @@ -0,0 +1,87 @@ +/* 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 |
