1 /*- 2 * Copyright (c) 2007 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 27 #include "cdefs-compat.h" 28 //__FBSDID("$FreeBSD: src/lib/msun/src/s_sinl.c,v 1.3 2011/05/30 19:41:28 kargl Exp $"); 29 30 #include <float.h> 31 32 #include "openlibm.h" 33 #include "math_private.h" 34 #if LDBL_MANT_DIG == 64 35 #include "../ld80/e_rem_pio2l.h" 36 #elif LDBL_MANT_DIG == 113 37 #include "../ld128/e_rem_pio2l.h" 38 #else 39 #error "Unsupported long double format" 40 #endif 41 42 long double 43 sinl(long double x) 44 { 45 union IEEEl2bits z; 46 int e0, s; 47 long double y[2]; 48 long double hi, lo; 49 50 z.e = x; 51 s = z.bits.sign; 52 z.bits.sign = 0; 53 54 /* If x = +-0 or x is a subnormal number, then sin(x) = x */ 55 if (z.bits.exp == 0) 56 return (x); 57 58 /* If x = NaN or Inf, then sin(x) = NaN. */ 59 if (z.bits.exp == 32767) 60 return ((x - x) / (x - x)); 61 62 /* Optimize the case where x is already within range. */ 63 if (z.e < M_PI_4) { 64 hi = __kernel_sinl(z.e, 0, 0); 65 return (s ? -hi : hi); 66 } 67 68 e0 = __ieee754_rem_pio2l(x, y); 69 hi = y[0]; 70 lo = y[1]; 71 72 switch (e0 & 3) { 73 case 0: 74 hi = __kernel_sinl(hi, lo, 1); 75 break; 76 case 1: 77 hi = __kernel_cosl(hi, lo); 78 break; 79 case 2: 80 hi = - __kernel_sinl(hi, lo, 1); 81 break; 82 case 3: 83 hi = - __kernel_cosl(hi, lo); 84 break; 85 } 86 87 return (hi); 88 } 89