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| 1 /* origin: FreeBSD /usr/src/lib/msun/src/s_sinf.c */ |
| 2 /* |
| 3 * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. |
| 4 * Optimized by Bruce D. Evans. |
| 5 */ |
| 6 /* |
| 7 * ==================================================== |
| 8 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| 9 * |
| 10 * Developed at SunPro, a Sun Microsystems, Inc. business. |
| 11 * Permission to use, copy, modify, and distribute this |
| 12 * software is freely granted, provided that this notice |
| 13 * is preserved. |
| 14 * ==================================================== |
| 15 */ |
| 16 |
| 17 #include "libm.h" |
| 18 |
| 19 /* Small multiples of pi/2 rounded to double precision. */ |
| 20 static const double |
| 21 s1pio2 = 1*M_PI_2, /* 0x3FF921FB, 0x54442D18 */ |
| 22 s2pio2 = 2*M_PI_2, /* 0x400921FB, 0x54442D18 */ |
| 23 s3pio2 = 3*M_PI_2, /* 0x4012D97C, 0x7F3321D2 */ |
| 24 s4pio2 = 4*M_PI_2; /* 0x401921FB, 0x54442D18 */ |
| 25 |
| 26 float sinf(float x) |
| 27 { |
| 28 double y; |
| 29 uint32_t ix; |
| 30 int n, sign; |
| 31 |
| 32 GET_FLOAT_WORD(ix, x); |
| 33 sign = ix >> 31; |
| 34 ix &= 0x7fffffff; |
| 35 |
| 36 if (ix <= 0x3f490fda) { /* |x| ~<= pi/4 */ |
| 37 if (ix < 0x39800000) { /* |x| < 2**-12 */ |
| 38 /* raise inexact if x!=0 and underflow if subnormal */ |
| 39 FORCE_EVAL(ix < 0x00800000 ? x/0x1p120f : x+0x1p120f); |
| 40 return x; |
| 41 } |
| 42 return __sindf(x); |
| 43 } |
| 44 if (ix <= 0x407b53d1) { /* |x| ~<= 5*pi/4 */ |
| 45 if (ix <= 0x4016cbe3) { /* |x| ~<= 3pi/4 */ |
| 46 if (sign) |
| 47 return -__cosdf(x + s1pio2); |
| 48 else |
| 49 return __cosdf(x - s1pio2); |
| 50 } |
| 51 return __sindf(sign ? -(x + s2pio2) : -(x - s2pio2)); |
| 52 } |
| 53 if (ix <= 0x40e231d5) { /* |x| ~<= 9*pi/4 */ |
| 54 if (ix <= 0x40afeddf) { /* |x| ~<= 7*pi/4 */ |
| 55 if (sign) |
| 56 return __cosdf(x + s3pio2); |
| 57 else |
| 58 return -__cosdf(x - s3pio2); |
| 59 } |
| 60 return __sindf(sign ? x + s4pio2 : x - s4pio2); |
| 61 } |
| 62 |
| 63 /* sin(Inf or NaN) is NaN */ |
| 64 if (ix >= 0x7f800000) |
| 65 return x - x; |
| 66 |
| 67 /* general argument reduction needed */ |
| 68 n = __rem_pio2f(x, &y); |
| 69 switch (n&3) { |
| 70 case 0: return __sindf(y); |
| 71 case 1: return __cosdf(y); |
| 72 case 2: return __sindf(-y); |
| 73 default: |
| 74 return -__cosdf(y); |
| 75 } |
| 76 } |
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