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 <sys/cdefs.h> 28 __FBSDID("$FreeBSD$"); 29 30 #include <float.h> 31 #ifdef __i386__ 32 #include <ieeefp.h> 33 #endif 34 35 #include "math.h" 36 #include "math_private.h" 37 #if LDBL_MANT_DIG == 64 38 #include "../ld80/e_rem_pio2l.h" 39 #elif LDBL_MANT_DIG == 113 40 #include "../ld128/e_rem_pio2l.h" 41 #else 42 #error "Unsupported long double format" 43 #endif 44 45 long double 46 sinl(long double x) 47 { 48 union IEEEl2bits z; 49 int e0, s; 50 long double y[2]; 51 long double hi, lo; 52 53 z.e = x; 54 s = z.bits.sign; 55 z.bits.sign = 0; 56 57 /* If x = +-0 or x is a subnormal number, then sin(x) = x */ 58 if (z.bits.exp == 0) 59 return (x); 60 61 /* If x = NaN or Inf, then sin(x) = NaN. */ 62 if (z.bits.exp == 32767) 63 return ((x - x) / (x - x)); 64 65 ENTERI(); 66 67 /* Optimize the case where x is already within range. */ 68 if (z.e < M_PI_4) { 69 hi = __kernel_sinl(z.e, 0, 0); 70 RETURNI(s ? -hi : hi); 71 } 72 73 e0 = __ieee754_rem_pio2l(x, y); 74 hi = y[0]; 75 lo = y[1]; 76 77 switch (e0 & 3) { 78 case 0: 79 hi = __kernel_sinl(hi, lo, 1); 80 break; 81 case 1: 82 hi = __kernel_cosl(hi, lo); 83 break; 84 case 2: 85 hi = - __kernel_sinl(hi, lo, 1); 86 break; 87 case 3: 88 hi = - __kernel_cosl(hi, lo); 89 break; 90 } 91 92 RETURNI(hi); 93 } 94