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 /* 23 * Copyright 2011 Nexenta Systems, Inc. All rights reserved. 24 */ 25 /* 26 * Copyright 2006 Sun Microsystems, Inc. All rights reserved. 27 * Use is subject to license terms. 28 */ 29 30 #include <sys/isa_defs.h> 31 32 #ifdef _LITTLE_ENDIAN 33 #define HI(x) *(1+(int*)x) 34 #define LO(x) *(unsigned*)x 35 #else 36 #define HI(x) *(int*)x 37 #define LO(x) *(1+(unsigned*)x) 38 #endif 39 40 #ifdef __RESTRICT 41 #define restrict _Restrict 42 #else 43 #define restrict 44 #endif 45 46 extern const double __vlibm_TBL_sincos_hi[], __vlibm_TBL_sincos_lo[]; 47 extern int __vlibm_rem_pio2m(double *, double *, int, int, int); 48 49 static const double 50 zero = 0.0, 51 one = 1.0, 52 two24 = 16777216.0, 53 pp1 = -1.666666666605760465276263943134982554676e-0001, 54 pp2 = 8.333261209690963126718376566146180944442e-0003, 55 p1 = -1.666666666666629669805215138920301589656e-0001, 56 p2 = 8.333333332390951295683993455280336376663e-0003, 57 p3 = -1.984126237997976692791551778230098403960e-0004, 58 p4 = 2.753403624854277237649987622848330351110e-0006, 59 qq1 = -4.999999999977710986407023955908711557870e-0001, 60 qq2 = 4.166654863857219350645055881018842089580e-0002, 61 q1 = -4.999999999999931701464060878888294524481e-0001, 62 q2 = 4.166666666394861917535640593963708222319e-0002, 63 q3 = -1.388888552656142867832756687736851681462e-0003, 64 q4 = 2.478519423681460796618128289454530524759e-0005; 65 66 void 67 __vlibm_vsincos_big(int n, double * restrict x, int stridex, 68 double * restrict ss, int stridess, 69 double * restrict cc, int stridecc, int thresh) 70 { 71 for (; n--; x += stridex, ss += stridess, cc += stridecc) 72 { 73 double ts, tc, tx, tt[3], ty[2], t, w, z, c, s; 74 unsigned hx, xsb; 75 int e0, nx, j; 76 77 hx = HI(x); 78 xsb = hx & 0x80000000; 79 hx &= ~0x80000000; 80 if (hx <= thresh || hx >= 0x7ff00000) 81 continue; 82 83 /* 84 * Argument reduction part. 85 */ 86 e0 = (hx >> 20) - 1046; 87 HI(&tx) = 0x41600000 | (hx & 0xfffff); 88 LO(&tx) = LO(x); 89 tt[0] = (double)((int) tx); 90 tx = (tx - tt[0]) * two24; 91 if (tx != zero) 92 { 93 nx = 2; 94 tt[1] = (double)((int) tx); 95 tt[2] = (tx - tt[1]) * two24; 96 if (tt[2] != zero) 97 nx = 3; 98 } 99 else 100 { 101 nx = 1; 102 tt[1] = tt[2] = zero; 103 } 104 nx = __vlibm_rem_pio2m(tt, ty, e0, nx, 2); 105 if (xsb) 106 { 107 nx = -nx; 108 ty[0] = -ty[0]; 109 ty[1] = -ty[1]; 110 } 111 112 /* now nx and ty[*] are the quadrant and reduced arg */ 113 hx = HI(&ty[0]); 114 xsb = 0; 115 if (hx & 0x80000000) 116 { 117 ty[0] = -ty[0]; 118 ty[1] = -ty[1]; 119 hx &= ~0x80000000; 120 xsb = 1; 121 } 122 if (hx < 0x3fc40000) 123 { 124 z = ty[0] * ty[0]; 125 t = z * (q1 + z * (q2 + z * (q3 + z * q4))); 126 c = one + t; 127 t = z * (p1 + z * (p2 + z * (p3 + z * p4))); 128 s = ty[0] + (ty[1] + ty[0] * t); 129 } 130 else { 131 j = (hx + 0x4000) & 0x7fff8000; 132 HI(&t) = j; 133 LO(&t) = 0; 134 ty[0] = (ty[0] - t) + ty[1]; 135 z = ty[0] * ty[0]; 136 t = z * (qq1 + z * qq2); 137 w = ty[0] * (one + z * (pp1 + z * pp2)); 138 j = ((j - 0x3fc40000) >> 13) & ~3; 139 140 c = __vlibm_TBL_sincos_hi[j+1]; 141 tc = __vlibm_TBL_sincos_lo[j+1] - (__vlibm_TBL_sincos_hi[j] * w - c * t); 142 c += tc; 143 144 s = __vlibm_TBL_sincos_hi[j]; 145 ts = (__vlibm_TBL_sincos_hi[j+1] * w + s * t) + __vlibm_TBL_sincos_lo[j]; 146 s += ts; 147 } 148 if (xsb) { 149 s = -s; 150 } 151 152 switch (nx & 3) { 153 case 0: 154 *ss = s; 155 *cc = c; 156 break; 157 158 case 1: 159 *ss = c; 160 *cc = -s; 161 break; 162 163 case 2: 164 *ss = -s; 165 *cc = -c; 166 break; 167 168 case 3: 169 *ss = -c; 170 *cc = s; 171 break; 172 } 173 } 174 } 175