1 /*- 2 * ==================================================== 3 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. 4 * 5 * Developed at SunPro, a Sun Microsystems, Inc. business. 6 * Permission to use, copy, modify, and distribute this 7 * software is freely granted, provided that this notice 8 * is preserved. 9 * ==================================================== 10 */ 11 12 /* s_sincosf.c -- float version of s_sincos.c. 13 * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. 14 * Optimized by Bruce D. Evans. 15 * Merged s_sinf.c and s_cosf.c by Steven G. Kargl. 16 */ 17 18 #include <sys/cdefs.h> 19 __FBSDID("$FreeBSD$"); 20 21 #include <float.h> 22 23 #include "math.h" 24 #define INLINE_REM_PIO2F 25 #include "math_private.h" 26 #include "e_rem_pio2f.c" 27 #include "k_sincosf.h" 28 29 /* Small multiples of pi/2 rounded to double precision. */ 30 static const double 31 p1pio2 = 1*M_PI_2, /* 0x3FF921FB, 0x54442D18 */ 32 p2pio2 = 2*M_PI_2, /* 0x400921FB, 0x54442D18 */ 33 p3pio2 = 3*M_PI_2, /* 0x4012D97C, 0x7F3321D2 */ 34 p4pio2 = 4*M_PI_2; /* 0x401921FB, 0x54442D18 */ 35 36 void 37 sincosf(float x, float *sn, float *cs) 38 { 39 float c, s; 40 double y; 41 int32_t n, hx, ix; 42 43 GET_FLOAT_WORD(hx, x); 44 ix = hx & 0x7fffffff; 45 46 if (ix <= 0x3f490fda) { /* |x| ~<= pi/4 */ 47 if (ix < 0x39800000) { /* |x| < 2**-12 */ 48 if ((int)x == 0) { 49 *sn = x; /* x with inexact if x != 0 */ 50 *cs = 1; 51 return; 52 } 53 } 54 __kernel_sincosdf(x, sn, cs); 55 return; 56 } 57 58 if (ix <= 0x407b53d1) { /* |x| ~<= 5*pi/4 */ 59 if (ix <= 0x4016cbe3) { /* |x| ~<= 3pi/4 */ 60 if (hx > 0) { 61 __kernel_sincosdf(x - p1pio2, cs, sn); 62 *cs = -*cs; 63 } else { 64 __kernel_sincosdf(x + p1pio2, cs, sn); 65 *sn = -*sn; 66 } 67 } else { 68 if (hx > 0) 69 __kernel_sincosdf(x - p2pio2, sn, cs); 70 else 71 __kernel_sincosdf(x + p2pio2, sn, cs); 72 *sn = -*sn; 73 *cs = -*cs; 74 } 75 return; 76 } 77 78 if (ix <= 0x40e231d5) { /* |x| ~<= 9*pi/4 */ 79 if (ix <= 0x40afeddf) { /* |x| ~<= 7*pi/4 */ 80 if (hx > 0) { 81 __kernel_sincosdf(x - p3pio2, cs, sn); 82 *sn = -*sn; 83 } else { 84 __kernel_sincosdf(x + p3pio2, cs, sn); 85 *cs = -*cs; 86 } 87 } else { 88 if (hx > 0) 89 __kernel_sincosdf(x - p4pio2, sn, cs); 90 else 91 __kernel_sincosdf(x + p4pio2, sn, cs); 92 } 93 return; 94 } 95 96 /* If x = Inf or NaN, then sin(x) = NaN and cos(x) = NaN. */ 97 if (ix >= 0x7f800000) { 98 *sn = x - x; 99 *cs = x - x; 100 return; 101 } 102 103 /* Argument reduction. */ 104 n = __ieee754_rem_pio2f(x, &y); 105 __kernel_sincosdf(y, &s, &c); 106 107 switch(n & 3) { 108 case 0: 109 *sn = s; 110 *cs = c; 111 break; 112 case 1: 113 *sn = c; 114 *cs = -s; 115 break; 116 case 2: 117 *sn = -s; 118 *cs = -c; 119 break; 120 default: 121 *sn = -c; 122 *cs = s; 123 } 124 } 125 126 127