1 /* 2 * CDDL HEADER START 3 * 4 * The contents of this file are subject to the terms of the 5 * Common Development and Distribution License (the "License"). 6 * You may not use this file except in compliance with the License. 7 * 8 * You can obtain a copy of the license at usr/src/OPENSOLARIS.LICENSE 9 * or http://www.opensolaris.org/os/licensing. 10 * See the License for the specific language governing permissions 11 * and limitations under the License. 12 * 13 * When distributing Covered Code, include this CDDL HEADER in each 14 * file and include the License file at usr/src/OPENSOLARIS.LICENSE. 15 * If applicable, add the following below this CDDL HEADER, with the 16 * fields enclosed by brackets "[]" replaced with your own identifying 17 * information: Portions Copyright [yyyy] [name of copyright owner] 18 * 19 * CDDL HEADER END 20 */ 21 /* 22 * Copyright 2011 Nexenta Systems, Inc. All rights reserved. 23 */ 24 /* 25 * Copyright 2005 Sun Microsystems, Inc. All rights reserved. 26 * Use is subject to license terms. 27 */ 28 29 #pragma weak __sincosf = sincosf 30 31 /* INDENT OFF */ 32 /* 33 * For |x| < pi/4, let z = x * x, and approximate sin(x) by 34 * 35 * S(x) = x(S0 + S1*z)(S2 + S3*z + z*z) 36 * where 37 * S0 = 1.85735322054308378716204874632872525989806770558e-0003, 38 * S1 = -1.95035094218403635082921458859320791358115801259e-0004, 39 * S2 = 5.38400550766074785970952495168558701485841707252e+0002, 40 * S3 = -3.31975110777873728964197739157371509422022905947e+0001, 41 * 42 * with error bounded by |(sin(x) - S(x))/x| < 2**(-28.2), and 43 * cos(x) by 44 * 45 * C(x) = (C0 + C1*z + C2*z*z) * (C3 + C4*z + z*z) 46 * where 47 * C0 = 1.09349482127188401868272000389539985058873853699e-0003 48 * C1 = -5.03324285989964979398034700054920226866107675091e-0004 49 * C2 = 2.43792880266971107750418061559602239831538067410e-0005 50 * C3 = 9.14499072605666582228127405245558035523741471271e+0002 51 * C4 = -3.63151270591815439197122504991683846785293207730e+0001 52 * 53 * with error bounded by |cos(x) - C(x)| < 2**(-34.2). 54 */ 55 /* INDENT ON */ 56 57 #include "libm.h" 58 59 extern const int _TBL_ipio2_inf[]; 60 extern int __rem_pio2m(double *, double *, int, int, int, const int *); 61 #if defined(__i386) && !defined(__amd64) 62 extern int __swapRP(int); 63 #endif 64 65 static const double C[] = { 66 1.85735322054308378716204874632872525989806770558e-0003, 67 -1.95035094218403635082921458859320791358115801259e-0004, 68 5.38400550766074785970952495168558701485841707252e+0002, 69 -3.31975110777873728964197739157371509422022905947e+0001, 70 1.09349482127188401868272000389539985058873853699e-0003, 71 -5.03324285989964979398034700054920226866107675091e-0004, 72 2.43792880266971107750418061559602239831538067410e-0005, 73 9.14499072605666582228127405245558035523741471271e+0002, 74 -3.63151270591815439197122504991683846785293207730e+0001, 75 0.636619772367581343075535, /* 2^ -1 * 1.45F306DC9C883 */ 76 0.5, 77 1.570796326734125614166, /* 2^ 0 * 1.921FB54400000 */ 78 6.077100506506192601475e-11, /* 2^-34 * 1.0B4611A626331 */ 79 }; 80 81 #define S0 C[0] 82 #define S1 C[1] 83 #define S2 C[2] 84 #define S3 C[3] 85 #define C0 C[4] 86 #define C1 C[5] 87 #define C2 C[6] 88 #define C3 C[7] 89 #define C4 C[8] 90 #define invpio2 C[9] 91 #define half C[10] 92 #define pio2_1 C[11] 93 #define pio2_t C[12] 94 95 void 96 sincosf(float x, float *s, float *c) 97 { 98 double y, z, w; 99 float f, g; 100 int n, ix, hx, hy; 101 volatile int i __unused; 102 103 hx = *((int *)&x); 104 ix = hx & 0x7fffffff; 105 106 y = (double)x; 107 108 if (ix <= 0x4016cbe4) { /* |x| < 3*pi/4 */ 109 if (ix <= 0x3f490fdb) { /* |x| < pi/4 */ 110 if (ix <= 0x39800000) { /* |x| <= 2**-12 */ 111 i = (int)y; 112 #ifdef lint 113 i = i; 114 #endif 115 *s = x; 116 *c = 1.0f; 117 return; 118 } 119 z = y * y; 120 *s = (float)((y * (S0 + z * S1)) * 121 (S2 + z * (S3 + z))); 122 *c = (float)(((C0 + z * C1) + (z * z) * C2) * 123 (C3 + z * (C4 + z))); 124 } else if (hx > 0) { 125 y = (y - pio2_1) - pio2_t; 126 z = y * y; 127 *s = (float)(((C0 + z * C1) + (z * z) * C2) * 128 (C3 + z * (C4 + z))); 129 *c = (float)-((y * (S0 + z * S1)) * 130 (S2 + z * (S3 + z))); 131 } else { 132 y = (y + pio2_1) + pio2_t; 133 z = y * y; 134 *s = (float)-(((C0 + z * C1) + (z * z) * C2) * 135 (C3 + z * (C4 + z))); 136 *c = (float)((y * (S0 + z * S1)) * 137 (S2 + z * (S3 + z))); 138 } 139 return; 140 } else if (ix <= 0x49c90fdb) { /* |x| < 2^19*pi */ 141 #if defined(__i386) && !defined(__amd64) 142 int rp; 143 144 rp = __swapRP(fp_extended); 145 #endif 146 w = y * invpio2; 147 if (hx < 0) 148 n = (int)(w - half); 149 else 150 n = (int)(w + half); 151 y = (y - n * pio2_1) - n * pio2_t; 152 #if defined(__i386) && !defined(__amd64) 153 if (rp != fp_extended) 154 (void) __swapRP(rp); 155 #endif 156 } else { 157 if (ix >= 0x7f800000) { 158 *s = *c = x / x; 159 return; 160 } 161 hy = ((int *)&y)[HIWORD]; 162 n = ((hy >> 20) & 0x7ff) - 1046; 163 ((int *)&w)[HIWORD] = (hy & 0xfffff) | 0x41600000; 164 ((int *)&w)[LOWORD] = ((int *)&y)[LOWORD]; 165 n = __rem_pio2m(&w, &y, n, 1, 0, _TBL_ipio2_inf); 166 if (hy < 0) { 167 y = -y; 168 n = -n; 169 } 170 } 171 172 z = y * y; 173 f = (float)((y * (S0 + z * S1)) * (S2 + z * (S3 + z))); 174 g = (float)(((C0 + z * C1) + (z * z) * C2) * 175 (C3 + z * (C4 + z))); 176 if (n & 2) { 177 f = -f; 178 g = -g; 179 } 180 if (n & 1) { 181 *s = g; 182 *c = -f; 183 } else { 184 *s = f; 185 *c = g; 186 } 187 } 188