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| 1 /* origin: FreeBSD /usr/src/lib/msun/src/s_sinf.c */ | 1 /* origin: FreeBSD /usr/src/lib/msun/src/s_sinf.c */ |
| 2 /* | 2 /* |
| 3 * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. | 3 * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. |
| 4 * Optimized by Bruce D. Evans. | 4 * Optimized by Bruce D. Evans. |
| 5 */ | 5 */ |
| 6 /* | 6 /* |
| 7 * ==================================================== | 7 * ==================================================== |
| 8 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. | 8 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| 9 * | 9 * |
| 10 * Developed at SunPro, a Sun Microsystems, Inc. business. | 10 * Developed at SunPro, a Sun Microsystems, Inc. business. |
| 11 * Permission to use, copy, modify, and distribute this | 11 * Permission to use, copy, modify, and distribute this |
| 12 * software is freely granted, provided that this notice | 12 * software is freely granted, provided that this notice |
| 13 * is preserved. | 13 * is preserved. |
| 14 * ==================================================== | 14 * ==================================================== |
| 15 */ | 15 */ |
| 16 | 16 |
| 17 #include "libm.h" | 17 #include "libm.h" |
| 18 | 18 |
| 19 /* Small multiples of pi/2 rounded to double precision. */ | 19 /* Small multiples of pi/2 rounded to double precision. */ |
| 20 static const double | 20 static const double s1pio2 = 1 * M_PI_2, /* 0x3FF921FB, 0x54442D18 */ |
| 21 s1pio2 = 1*M_PI_2, /* 0x3FF921FB, 0x54442D18 */ | 21 s2pio2 = 2 * M_PI_2, /* 0x400921FB, 0x54442D18 */ |
| 22 s2pio2 = 2*M_PI_2, /* 0x400921FB, 0x54442D18 */ | 22 s3pio2 = 3 * M_PI_2, /* 0x4012D97C, 0x7F3321D2 */ |
| 23 s3pio2 = 3*M_PI_2, /* 0x4012D97C, 0x7F3321D2 */ | 23 s4pio2 = 4 * M_PI_2; /* 0x401921FB, 0x54442D18 */ |
| 24 s4pio2 = 4*M_PI_2; /* 0x401921FB, 0x54442D18 */ | |
| 25 | 24 |
| 26 float sinf(float x) | 25 float sinf(float x) { |
| 27 { | 26 double y; |
| 28 » double y; | 27 uint32_t ix; |
| 29 » uint32_t ix; | 28 int n, sign; |
| 30 » int n, sign; | |
| 31 | 29 |
| 32 » GET_FLOAT_WORD(ix, x); | 30 GET_FLOAT_WORD(ix, x); |
| 33 » sign = ix >> 31; | 31 sign = ix >> 31; |
| 34 » ix &= 0x7fffffff; | 32 ix &= 0x7fffffff; |
| 35 | 33 |
| 36 » if (ix <= 0x3f490fda) { /* |x| ~<= pi/4 */ | 34 if (ix <= 0x3f490fda) { /* |x| ~<= pi/4 */ |
| 37 » » if (ix < 0x39800000) { /* |x| < 2**-12 */ | 35 if (ix < 0x39800000) { /* |x| < 2**-12 */ |
| 38 » » » /* raise inexact if x!=0 and underflow if subnormal */ | 36 /* raise inexact if x!=0 and underflow if subnormal */ |
| 39 » » » FORCE_EVAL(ix < 0x00800000 ? x/0x1p120f : x+0x1p120f); | 37 FORCE_EVAL(ix < 0x00800000 ? x / 0x1p120f : x + 0x1p120f); |
| 40 » » » return x; | 38 return x; |
| 41 » » } | 39 } |
| 42 » » return __sindf(x); | 40 return __sindf(x); |
| 43 » } | 41 } |
| 44 » if (ix <= 0x407b53d1) { /* |x| ~<= 5*pi/4 */ | 42 if (ix <= 0x407b53d1) { /* |x| ~<= 5*pi/4 */ |
| 45 » » if (ix <= 0x4016cbe3) { /* |x| ~<= 3pi/4 */ | 43 if (ix <= 0x4016cbe3) { /* |x| ~<= 3pi/4 */ |
| 46 » » » if (sign) | 44 if (sign) |
| 47 » » » » return -__cosdf(x + s1pio2); | 45 return -__cosdf(x + s1pio2); |
| 48 » » » else | 46 else |
| 49 » » » » return __cosdf(x - s1pio2); | 47 return __cosdf(x - s1pio2); |
| 50 » » } | 48 } |
| 51 » » return __sindf(sign ? -(x + s2pio2) : -(x - s2pio2)); | 49 return __sindf(sign ? -(x + s2pio2) : -(x - s2pio2)); |
| 52 » } | 50 } |
| 53 » if (ix <= 0x40e231d5) { /* |x| ~<= 9*pi/4 */ | 51 if (ix <= 0x40e231d5) { /* |x| ~<= 9*pi/4 */ |
| 54 » » if (ix <= 0x40afeddf) { /* |x| ~<= 7*pi/4 */ | 52 if (ix <= 0x40afeddf) { /* |x| ~<= 7*pi/4 */ |
| 55 » » » if (sign) | 53 if (sign) |
| 56 » » » » return __cosdf(x + s3pio2); | 54 return __cosdf(x + s3pio2); |
| 57 » » » else | 55 else |
| 58 » » » » return -__cosdf(x - s3pio2); | 56 return -__cosdf(x - s3pio2); |
| 59 » » } | 57 } |
| 60 » » return __sindf(sign ? x + s4pio2 : x - s4pio2); | 58 return __sindf(sign ? x + s4pio2 : x - s4pio2); |
| 61 » } | 59 } |
| 62 | 60 |
| 63 » /* sin(Inf or NaN) is NaN */ | 61 /* sin(Inf or NaN) is NaN */ |
| 64 » if (ix >= 0x7f800000) | 62 if (ix >= 0x7f800000) |
| 65 » » return x - x; | 63 return x - x; |
| 66 | 64 |
| 67 » /* general argument reduction needed */ | 65 /* general argument reduction needed */ |
| 68 » n = __rem_pio2f(x, &y); | 66 n = __rem_pio2f(x, &y); |
| 69 » switch (n&3) { | 67 switch (n & 3) { |
| 70 » case 0: return __sindf(y); | 68 case 0: |
| 71 » case 1: return __cosdf(y); | 69 return __sindf(y); |
| 72 » case 2: return __sindf(-y); | 70 case 1: |
| 73 » default: | 71 return __cosdf(y); |
| 74 » » return -__cosdf(y); | 72 case 2: |
| 75 » } | 73 return __sindf(-y); |
| 74 default: |
| 75 return -__cosdf(y); |
| 76 } |
| 76 } | 77 } |
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