1 /* @(#)s_cos.c 5.1 93/09/24 */ 2 /* 3 * ==================================================== 4 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. 5 * 6 * Developed at SunPro, a Sun Microsystems, Inc. business. 7 * Permission to use, copy, modify, and distribute this 8 * software is freely granted, provided that this notice 9 * is preserved. 10 * ==================================================== 11 */ 12 13 #if defined(LIBM_SCCS) && !defined(lint) 14 static char rcsid[] = "$NetBSD: s_cos.c,v 1.7 1995/05/10 20:47:02 jtc Exp $"; 15 #endif 16 17 /* cos(x) 18 * Return cosine function of x. 19 * 20 * kernel function: 21 * __kernel_sin ... sine function on [-pi/4,pi/4] 22 * __kernel_cos ... cosine function on [-pi/4,pi/4] 23 * __ieee754_rem_pio2 ... argument reduction routine 24 * 25 * Method. 26 * Let S,C and T denote the sin, cos and tan respectively on 27 * [-PI/4, +PI/4]. Reduce the argument x to y1+y2 = x-k*pi/2 28 * in [-pi/4 , +pi/4], and let n = k mod 4. 29 * We have 30 * 31 * n sin(x) cos(x) tan(x) 32 * ---------------------------------------------------------- 33 * 0 S C T 34 * 1 C -S -1/T 35 * 2 -S -C T 36 * 3 -C S -1/T 37 * ---------------------------------------------------------- 38 * 39 * Special cases: 40 * Let trig be any of sin, cos, or tan. 41 * trig(+-INF) is NaN, with signals; 42 * trig(NaN) is that NaN; 43 * 44 * Accuracy: 45 * TRIG(x) returns trig(x) nearly rounded 46 */ 47 48 #include <sys/cdefs.h> 49 #include <float.h> 50 #include <math.h> 51 52 #include "math_private.h" 53 54 double 55 cos(double x) 56 { 57 double y[2],z=0.0; 58 int32_t n, ix; 59 60 /* High word of x. */ 61 GET_HIGH_WORD(ix,x); 62 63 /* |x| ~< pi/4 */ 64 ix &= 0x7fffffff; 65 if(ix <= 0x3fe921fb) return __kernel_cos(x,z); 66 67 /* cos(Inf or NaN) is NaN */ 68 else if (ix>=0x7ff00000) return x-x; 69 70 /* argument reduction needed */ 71 else { 72 n = __ieee754_rem_pio2(x,y); 73 switch(n&3) { 74 case 0: return __kernel_cos(y[0],y[1]); 75 case 1: return -__kernel_sin(y[0],y[1],1); 76 case 2: return -__kernel_cos(y[0],y[1]); 77 default: 78 return __kernel_sin(y[0],y[1],1); 79 } 80 } 81 } 82 83 #if LDBL_MANT_DIG == 53 84 #ifdef __weak_alias 85 __weak_alias(cosl, cos); 86 #endif /* __weak_alias */ 87 #endif /* LDBL_MANT_DIG == 53 */ 88