1 /*- 2 * Copyright (c) 2007, 2010-2013 Steven G. Kargl 3 * All rights reserved. 4 * 5 * Redistribution and use in source and binary forms, with or without 6 * modification, are permitted provided that the following conditions 7 * are met: 8 * 1. Redistributions of source code must retain the above copyright 9 * notice unmodified, this list of conditions, and the following 10 * disclaimer. 11 * 2. Redistributions in binary form must reproduce the above copyright 12 * notice, this list of conditions and the following disclaimer in the 13 * documentation and/or other materials provided with the distribution. 14 * 15 * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR 16 * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES 17 * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. 18 * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT, 19 * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT 20 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, 21 * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY 22 * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT 23 * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF 24 * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 25 * 26 * s_sinl.c and s_cosl.c merged by Steven G. Kargl. 27 */ 28 29 #include <sys/cdefs.h> 30 #include <float.h> 31 #ifdef __i386__ 32 #include <ieeefp.h> 33 #endif 34 35 #include "math.h" 36 #include "math_private.h" 37 #include "k_sincosl.h" 38 39 #if LDBL_MANT_DIG == 64 40 #include "../ld80/e_rem_pio2l.h" 41 #elif LDBL_MANT_DIG == 113 42 #include "../ld128/e_rem_pio2l.h" 43 #else 44 #error "Unsupported long double format" 45 #endif 46 47 void 48 sincosl(long double x, long double *sn, long double *cs) 49 { 50 union IEEEl2bits z; 51 int e0; 52 long double y[2]; 53 54 z.e = x; 55 z.bits.sign = 0; 56 57 ENTERV(); 58 59 /* Optimize the case where x is already within range. */ 60 if (z.e < M_PI_4) { 61 /* 62 * If x = +-0 or x is a subnormal number, then sin(x) = x and 63 * cos(x) = 1. 64 */ 65 if (z.bits.exp == 0) { 66 *sn = x; 67 *cs = 1; 68 } else 69 __kernel_sincosl(x, 0, 0, sn, cs); 70 RETURNV(); 71 } 72 73 /* If x = NaN or Inf, then sin(x) and cos(x) are NaN. */ 74 if (z.bits.exp == 32767) { 75 *sn = x - x; 76 *cs = x - x; 77 RETURNV(); 78 } 79 80 /* Range reduction. */ 81 e0 = __ieee754_rem_pio2l(x, y); 82 83 switch (e0 & 3) { 84 case 0: 85 __kernel_sincosl(y[0], y[1], 1, sn, cs); 86 break; 87 case 1: 88 __kernel_sincosl(y[0], y[1], 1, cs, sn); 89 *cs = -*cs; 90 break; 91 case 2: 92 __kernel_sincosl(y[0], y[1], 1, sn, cs); 93 *sn = -*sn; 94 *cs = -*cs; 95 break; 96 default: 97 __kernel_sincosl(y[0], y[1], 1, cs, sn); 98 *sn = -*sn; 99 } 100 101 RETURNV(); 102 } 103