1 /* $NetBSD: fpu_explode.c,v 1.6 2005/12/11 12:18:42 christos Exp $ */ 2 3 /*- 4 * SPDX-License-Identifier: BSD-3-Clause 5 * 6 * Copyright (c) 1992, 1993 7 * The Regents of the University of California. All rights reserved. 8 * 9 * This software was developed by the Computer Systems Engineering group 10 * at Lawrence Berkeley Laboratory under DARPA contract BG 91-66 and 11 * contributed to Berkeley. 12 * 13 * All advertising materials mentioning features or use of this software 14 * must display the following acknowledgement: 15 * This product includes software developed by the University of 16 * California, Lawrence Berkeley Laboratory. 17 * 18 * Redistribution and use in source and binary forms, with or without 19 * modification, are permitted provided that the following conditions 20 * are met: 21 * 1. Redistributions of source code must retain the above copyright 22 * notice, this list of conditions and the following disclaimer. 23 * 2. Redistributions in binary form must reproduce the above copyright 24 * notice, this list of conditions and the following disclaimer in the 25 * documentation and/or other materials provided with the distribution. 26 * 3. Neither the name of the University nor the names of its contributors 27 * may be used to endorse or promote products derived from this software 28 * without specific prior written permission. 29 * 30 * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND 31 * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE 32 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE 33 * ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE 34 * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL 35 * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS 36 * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) 37 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT 38 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY 39 * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF 40 * SUCH DAMAGE. 41 * 42 * @(#)fpu_explode.c 8.1 (Berkeley) 6/11/93 43 */ 44 45 /* 46 * FPU subroutines: `explode' the machine's `packed binary' format numbers 47 * into our internal format. 48 */ 49 50 #include <sys/cdefs.h> 51 __FBSDID("$FreeBSD$"); 52 53 #include <sys/types.h> 54 #include <sys/systm.h> 55 56 #include <machine/fpu.h> 57 #include <machine/ieee.h> 58 #include <machine/pcb.h> 59 60 #include <powerpc/fpu/fpu_arith.h> 61 #include <powerpc/fpu/fpu_emu.h> 62 #include <powerpc/fpu/fpu_extern.h> 63 #include <powerpc/fpu/fpu_instr.h> 64 65 /* 66 * N.B.: in all of the following, we assume the FP format is 67 * 68 * --------------------------- 69 * | s | exponent | fraction | 70 * --------------------------- 71 * 72 * (which represents -1**s * 1.fraction * 2**exponent), so that the 73 * sign bit is way at the top (bit 31), the exponent is next, and 74 * then the remaining bits mark the fraction. A zero exponent means 75 * zero or denormalized (0.fraction rather than 1.fraction), and the 76 * maximum possible exponent, 2bias+1, signals inf (fraction==0) or NaN. 77 * 78 * Since the sign bit is always the topmost bit---this holds even for 79 * integers---we set that outside all the *tof functions. Each function 80 * returns the class code for the new number (but note that we use 81 * FPC_QNAN for all NaNs; fpu_explode will fix this if appropriate). 82 */ 83 84 /* 85 * int -> fpn. 86 */ 87 int 88 fpu_itof(struct fpn *fp, u_int i) 89 { 90 91 if (i == 0) 92 return (FPC_ZERO); 93 /* 94 * The value FP_1 represents 2^FP_LG, so set the exponent 95 * there and let normalization fix it up. Convert negative 96 * numbers to sign-and-magnitude. Note that this relies on 97 * fpu_norm()'s handling of `supernormals'; see fpu_subr.c. 98 */ 99 fp->fp_exp = FP_LG; 100 fp->fp_mant[0] = (int)i < 0 ? -i : i; 101 fp->fp_mant[1] = 0; 102 fp->fp_mant[2] = 0; 103 fp->fp_mant[3] = 0; 104 fpu_norm(fp); 105 return (FPC_NUM); 106 } 107 108 /* 109 * 64-bit int -> fpn. 110 */ 111 int 112 fpu_xtof(struct fpn *fp, u_int64_t i) 113 { 114 115 if (i == 0) 116 return (FPC_ZERO); 117 /* 118 * The value FP_1 represents 2^FP_LG, so set the exponent 119 * there and let normalization fix it up. Convert negative 120 * numbers to sign-and-magnitude. Note that this relies on 121 * fpu_norm()'s handling of `supernormals'; see fpu_subr.c. 122 */ 123 fp->fp_exp = FP_LG2; 124 *((int64_t*)fp->fp_mant) = (int64_t)i < 0 ? -i : i; 125 fp->fp_mant[2] = 0; 126 fp->fp_mant[3] = 0; 127 fpu_norm(fp); 128 return (FPC_NUM); 129 } 130 131 #define mask(nbits) ((1L << (nbits)) - 1) 132 133 /* 134 * All external floating formats convert to internal in the same manner, 135 * as defined here. Note that only normals get an implied 1.0 inserted. 136 */ 137 #define FP_TOF(exp, expbias, allfrac, f0, f1, f2, f3) \ 138 if (exp == 0) { \ 139 if (allfrac == 0) \ 140 return (FPC_ZERO); \ 141 fp->fp_exp = 1 - expbias; \ 142 fp->fp_mant[0] = f0; \ 143 fp->fp_mant[1] = f1; \ 144 fp->fp_mant[2] = f2; \ 145 fp->fp_mant[3] = f3; \ 146 fpu_norm(fp); \ 147 return (FPC_NUM); \ 148 } \ 149 if (exp == (2 * expbias + 1)) { \ 150 if (allfrac == 0) \ 151 return (FPC_INF); \ 152 fp->fp_mant[0] = f0; \ 153 fp->fp_mant[1] = f1; \ 154 fp->fp_mant[2] = f2; \ 155 fp->fp_mant[3] = f3; \ 156 return (FPC_QNAN); \ 157 } \ 158 fp->fp_exp = exp - expbias; \ 159 fp->fp_mant[0] = FP_1 | f0; \ 160 fp->fp_mant[1] = f1; \ 161 fp->fp_mant[2] = f2; \ 162 fp->fp_mant[3] = f3; \ 163 return (FPC_NUM) 164 165 /* 166 * 32-bit single precision -> fpn. 167 * We assume a single occupies at most (64-FP_LG) bits in the internal 168 * format: i.e., needs at most fp_mant[0] and fp_mant[1]. 169 */ 170 int 171 fpu_stof(struct fpn *fp, u_int i) 172 { 173 int exp; 174 u_int frac, f0, f1; 175 #define SNG_SHIFT (SNG_FRACBITS - FP_LG) 176 177 exp = (i >> (32 - 1 - SNG_EXPBITS)) & mask(SNG_EXPBITS); 178 frac = i & mask(SNG_FRACBITS); 179 f0 = frac >> SNG_SHIFT; 180 f1 = frac << (32 - SNG_SHIFT); 181 FP_TOF(exp, SNG_EXP_BIAS, frac, f0, f1, 0, 0); 182 } 183 184 /* 185 * 64-bit double -> fpn. 186 * We assume this uses at most (96-FP_LG) bits. 187 */ 188 int 189 fpu_dtof(struct fpn *fp, u_int i, u_int j) 190 { 191 int exp; 192 u_int frac, f0, f1, f2; 193 #define DBL_SHIFT (DBL_FRACBITS - 32 - FP_LG) 194 195 exp = (i >> (32 - 1 - DBL_EXPBITS)) & mask(DBL_EXPBITS); 196 frac = i & mask(DBL_FRACBITS - 32); 197 f0 = frac >> DBL_SHIFT; 198 f1 = (frac << (32 - DBL_SHIFT)) | (j >> DBL_SHIFT); 199 f2 = j << (32 - DBL_SHIFT); 200 frac |= j; 201 FP_TOF(exp, DBL_EXP_BIAS, frac, f0, f1, f2, 0); 202 } 203 204 /* 205 * Explode the contents of a register / regpair / regquad. 206 * If the input is a signalling NaN, an NV (invalid) exception 207 * will be set. (Note that nothing but NV can occur until ALU 208 * operations are performed.) 209 */ 210 void 211 fpu_explode(struct fpemu *fe, struct fpn *fp, int type, int reg) 212 { 213 u_int s, *space; 214 u_int64_t l, *xspace; 215 216 xspace = (u_int64_t *)&fe->fe_fpstate->fpr[reg].fpr; 217 l = xspace[0]; 218 space = (u_int *)&fe->fe_fpstate->fpr[reg].fpr; 219 s = space[0]; 220 fp->fp_sign = s >> 31; 221 fp->fp_sticky = 0; 222 switch (type) { 223 224 case FTYPE_LNG: 225 s = fpu_xtof(fp, l); 226 break; 227 228 case FTYPE_INT: 229 s = fpu_itof(fp, space[1]); 230 break; 231 232 case FTYPE_SNG: 233 s = fpu_stof(fp, s); 234 break; 235 236 case FTYPE_DBL: 237 s = fpu_dtof(fp, s, space[1]); 238 break; 239 240 default: 241 panic("fpu_explode"); 242 panic("fpu_explode: invalid type %d", type); 243 } 244 245 if (s == FPC_QNAN && (fp->fp_mant[0] & FP_QUIETBIT) == 0) { 246 /* 247 * Input is a signalling NaN. All operations that return 248 * an input NaN operand put it through a ``NaN conversion'', 249 * which basically just means ``turn on the quiet bit''. 250 * We do this here so that all NaNs internally look quiet 251 * (we can tell signalling ones by their class). 252 */ 253 fp->fp_mant[0] |= FP_QUIETBIT; 254 fe->fe_cx = FPSCR_VXSNAN; /* assert invalid operand */ 255 s = FPC_SNAN; 256 } 257 fp->fp_class = s; 258 DPRINTF(FPE_REG, ("fpu_explode: %%%c%d => ", (type == FTYPE_LNG) ? 'x' : 259 ((type == FTYPE_INT) ? 'i' : 260 ((type == FTYPE_SNG) ? 's' : 261 ((type == FTYPE_DBL) ? 'd' : '?'))), 262 reg)); 263 DUMPFPN(FPE_REG, fp); 264 DPRINTF(FPE_REG, ("\n")); 265 } 266