1 /* 2 * Copyright (c) 1992, 1993 3 * The Regents of the University of California. All rights reserved. 4 * 5 * This software was developed by the Computer Systems Engineering group 6 * at Lawrence Berkeley Laboratory under DARPA contract BG 91-66 and 7 * contributed to Berkeley. 8 * 9 * All advertising materials mentioning features or use of this software 10 * must display the following acknowledgement: 11 * This product includes software developed by the University of 12 * California, Lawrence Berkeley Laboratory. 13 * 14 * Redistribution and use in source and binary forms, with or without 15 * modification, are permitted provided that the following conditions 16 * are met: 17 * 1. Redistributions of source code must retain the above copyright 18 * notice, this list of conditions and the following disclaimer. 19 * 2. Redistributions in binary form must reproduce the above copyright 20 * notice, this list of conditions and the following disclaimer in the 21 * documentation and/or other materials provided with the distribution. 22 * 3. Neither the name of the University nor the names of its contributors 23 * may be used to endorse or promote products derived from this software 24 * without specific prior written permission. 25 * 26 * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND 27 * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE 28 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE 29 * ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE 30 * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL 31 * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS 32 * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) 33 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT 34 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY 35 * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF 36 * SUCH DAMAGE. 37 * 38 * @(#)fpu_subr.c 8.1 (Berkeley) 6/11/93 39 * $NetBSD: fpu_subr.c,v 1.3 1996/03/14 19:42:01 christos Exp $ 40 */ 41 42 #include <sys/cdefs.h> 43 44 /* 45 * FPU subroutines. 46 */ 47 48 #include <sys/param.h> 49 50 #include "fsr.h" 51 #include "instr.h" 52 53 #include "fpu_arith.h" 54 #include "fpu_emu.h" 55 #include "fpu_extern.h" 56 57 /* 58 * Shift the given number right rsh bits. Any bits that `fall off' will get 59 * shoved into the sticky field; we return the resulting sticky. Note that 60 * shifting NaNs is legal (this will never shift all bits out); a NaN's 61 * sticky field is ignored anyway. 62 */ 63 int 64 __fpu_shr(struct fpn *fp, int rsh) 65 { 66 uint32_t m0, m1, m2, m3, s; 67 int lsh; 68 69 #ifdef DIAGNOSTIC 70 if (rsh <= 0 || (fp->fp_class != FPC_NUM && !ISNAN(fp))) 71 __utrap_panic("fpu_rightshift 1"); 72 #endif 73 74 m0 = fp->fp_mant[0]; 75 m1 = fp->fp_mant[1]; 76 m2 = fp->fp_mant[2]; 77 m3 = fp->fp_mant[3]; 78 79 /* If shifting all the bits out, take a shortcut. */ 80 if (rsh >= FP_NMANT) { 81 #ifdef DIAGNOSTIC 82 if ((m0 | m1 | m2 | m3) == 0) 83 __utrap_panic("fpu_rightshift 2"); 84 #endif 85 fp->fp_mant[0] = 0; 86 fp->fp_mant[1] = 0; 87 fp->fp_mant[2] = 0; 88 fp->fp_mant[3] = 0; 89 #ifdef notdef 90 if ((m0 | m1 | m2 | m3) == 0) 91 fp->fp_class = FPC_ZERO; 92 else 93 #endif 94 fp->fp_sticky = 1; 95 return (1); 96 } 97 98 /* Squish out full words. */ 99 s = fp->fp_sticky; 100 if (rsh >= 32 * 3) { 101 s |= m3 | m2 | m1; 102 m3 = m0, m2 = 0, m1 = 0, m0 = 0; 103 } else if (rsh >= 32 * 2) { 104 s |= m3 | m2; 105 m3 = m1, m2 = m0, m1 = 0, m0 = 0; 106 } else if (rsh >= 32) { 107 s |= m3; 108 m3 = m2, m2 = m1, m1 = m0, m0 = 0; 109 } 110 111 /* Handle any remaining partial word. */ 112 if ((rsh &= 31) != 0) { 113 lsh = 32 - rsh; 114 s |= m3 << lsh; 115 m3 = (m3 >> rsh) | (m2 << lsh); 116 m2 = (m2 >> rsh) | (m1 << lsh); 117 m1 = (m1 >> rsh) | (m0 << lsh); 118 m0 >>= rsh; 119 } 120 fp->fp_mant[0] = m0; 121 fp->fp_mant[1] = m1; 122 fp->fp_mant[2] = m2; 123 fp->fp_mant[3] = m3; 124 fp->fp_sticky = s; 125 return (s); 126 } 127 128 /* 129 * Force a number to be normal, i.e., make its fraction have all zero 130 * bits before FP_1, then FP_1, then all 1 bits. This is used for denorms 131 * and (sometimes) for intermediate results. 132 * 133 * Internally, this may use a `supernormal' -- a number whose fp_mant 134 * is greater than or equal to 2.0 -- so as a side effect you can hand it 135 * a supernormal and it will fix it (provided fp->fp_mant[3] == 0). 136 */ 137 void 138 __fpu_norm(struct fpn *fp) 139 { 140 uint32_t m0, m1, m2, m3, top, sup, nrm; 141 int lsh, rsh, exp; 142 143 exp = fp->fp_exp; 144 m0 = fp->fp_mant[0]; 145 m1 = fp->fp_mant[1]; 146 m2 = fp->fp_mant[2]; 147 m3 = fp->fp_mant[3]; 148 149 /* Handle severe subnormals with 32-bit moves. */ 150 if (m0 == 0) { 151 if (m1) 152 m0 = m1, m1 = m2, m2 = m3, m3 = 0, exp -= 32; 153 else if (m2) 154 m0 = m2, m1 = m3, m2 = 0, m3 = 0, exp -= 2 * 32; 155 else if (m3) 156 m0 = m3, m1 = 0, m2 = 0, m3 = 0, exp -= 3 * 32; 157 else { 158 fp->fp_class = FPC_ZERO; 159 return; 160 } 161 } 162 163 /* Now fix any supernormal or remaining subnormal. */ 164 nrm = FP_1; 165 sup = nrm << 1; 166 if (m0 >= sup) { 167 /* 168 * We have a supernormal number. We need to shift it right. 169 * We may assume m3==0. 170 */ 171 for (rsh = 1, top = m0 >> 1; top >= sup; rsh++) /* XXX slow */ 172 top >>= 1; 173 exp += rsh; 174 lsh = 32 - rsh; 175 m3 = m2 << lsh; 176 m2 = (m2 >> rsh) | (m1 << lsh); 177 m1 = (m1 >> rsh) | (m0 << lsh); 178 m0 = top; 179 } else if (m0 < nrm) { 180 /* 181 * We have a regular denorm (a subnormal number), and need 182 * to shift it left. 183 */ 184 for (lsh = 1, top = m0 << 1; top < nrm; lsh++) /* XXX slow */ 185 top <<= 1; 186 exp -= lsh; 187 rsh = 32 - lsh; 188 m0 = top | (m1 >> rsh); 189 m1 = (m1 << lsh) | (m2 >> rsh); 190 m2 = (m2 << lsh) | (m3 >> rsh); 191 m3 <<= lsh; 192 } 193 194 fp->fp_exp = exp; 195 fp->fp_mant[0] = m0; 196 fp->fp_mant[1] = m1; 197 fp->fp_mant[2] = m2; 198 fp->fp_mant[3] = m3; 199 } 200 201 /* 202 * Concoct a `fresh' Quiet NaN per Appendix N. 203 * As a side effect, we set NV (invalid) for the current exceptions. 204 */ 205 struct fpn * 206 __fpu_newnan(struct fpemu *fe) 207 { 208 struct fpn *fp; 209 210 fe->fe_cx = FSR_NV; 211 fp = &fe->fe_f3; 212 fp->fp_class = FPC_QNAN; 213 fp->fp_sign = 0; 214 fp->fp_mant[0] = FP_1 - 1; 215 fp->fp_mant[1] = fp->fp_mant[2] = fp->fp_mant[3] = ~0; 216 return (fp); 217 } 218