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 __FBSDID("$FreeBSD$"); 31 32 #include <float.h> 33 #ifdef __i386__ 34 #include <ieeefp.h> 35 #endif 36 37 #include "math.h" 38 #include "math_private.h" 39 #include "k_sincosl.h" 40 41 #if LDBL_MANT_DIG == 64 42 #include "../ld80/e_rem_pio2l.h" 43 #elif LDBL_MANT_DIG == 113 44 #include "../ld128/e_rem_pio2l.h" 45 #else 46 #error "Unsupported long double format" 47 #endif 48 49 void 50 sincosl(long double x, long double *sn, long double *cs) 51 { 52 union IEEEl2bits z; 53 int e0, sgn; 54 long double y[2]; 55 56 z.e = x; 57 sgn = z.bits.sign; 58 z.bits.sign = 0; 59 60 ENTERV(); 61 62 /* Optimize the case where x is already within range. */ 63 if (z.e < M_PI_4) { 64 /* 65 * If x = +-0 or x is a subnormal number, then sin(x) = x and 66 * cos(x) = 1. 67 */ 68 if (z.bits.exp == 0) { 69 *sn = x; 70 *cs = 1; 71 } else 72 __kernel_sincosl(x, 0, 0, sn, cs); 73 RETURNV(); 74 } 75 76 /* If x = NaN or Inf, then sin(x) and cos(x) are NaN. */ 77 if (z.bits.exp == 32767) { 78 *sn = x - x; 79 *cs = x - x; 80 RETURNV(); 81 } 82 83 /* Range reduction. */ 84 e0 = __ieee754_rem_pio2l(x, y); 85 86 switch (e0 & 3) { 87 case 0: 88 __kernel_sincosl(y[0], y[1], 1, sn, cs); 89 break; 90 case 1: 91 __kernel_sincosl(y[0], y[1], 1, cs, sn); 92 *cs = -*cs; 93 break; 94 case 2: 95 __kernel_sincosl(y[0], y[1], 1, sn, cs); 96 *sn = -*sn; 97 *cs = -*cs; 98 break; 99 default: 100 __kernel_sincosl(y[0], y[1], 1, cs, sn); 101 *sn = -*sn; 102 } 103 104 RETURNV(); 105 } 106