1 1.14 rin /* $NetBSD: fpu_explode.c,v 1.14 2022/09/07 06:51:58 rin Exp $ */ 2 1.1 simonb 3 1.1 simonb /* 4 1.1 simonb * Copyright (c) 1992, 1993 5 1.1 simonb * The Regents of the University of California. All rights reserved. 6 1.1 simonb * 7 1.1 simonb * This software was developed by the Computer Systems Engineering group 8 1.1 simonb * at Lawrence Berkeley Laboratory under DARPA contract BG 91-66 and 9 1.1 simonb * contributed to Berkeley. 10 1.1 simonb * 11 1.1 simonb * All advertising materials mentioning features or use of this software 12 1.1 simonb * must display the following acknowledgement: 13 1.1 simonb * This product includes software developed by the University of 14 1.1 simonb * California, Lawrence Berkeley Laboratory. 15 1.1 simonb * 16 1.1 simonb * Redistribution and use in source and binary forms, with or without 17 1.1 simonb * modification, are permitted provided that the following conditions 18 1.1 simonb * are met: 19 1.1 simonb * 1. Redistributions of source code must retain the above copyright 20 1.1 simonb * notice, this list of conditions and the following disclaimer. 21 1.1 simonb * 2. Redistributions in binary form must reproduce the above copyright 22 1.1 simonb * notice, this list of conditions and the following disclaimer in the 23 1.1 simonb * documentation and/or other materials provided with the distribution. 24 1.3 agc * 3. Neither the name of the University nor the names of its contributors 25 1.1 simonb * may be used to endorse or promote products derived from this software 26 1.1 simonb * without specific prior written permission. 27 1.1 simonb * 28 1.1 simonb * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND 29 1.1 simonb * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE 30 1.1 simonb * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE 31 1.1 simonb * ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE 32 1.1 simonb * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL 33 1.1 simonb * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS 34 1.1 simonb * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) 35 1.1 simonb * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT 36 1.1 simonb * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY 37 1.1 simonb * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF 38 1.1 simonb * SUCH DAMAGE. 39 1.1 simonb * 40 1.1 simonb * @(#)fpu_explode.c 8.1 (Berkeley) 6/11/93 41 1.1 simonb */ 42 1.1 simonb 43 1.1 simonb /* 44 1.1 simonb * FPU subroutines: `explode' the machine's `packed binary' format numbers 45 1.1 simonb * into our internal format. 46 1.1 simonb */ 47 1.2 lukem 48 1.2 lukem #include <sys/cdefs.h> 49 1.14 rin __KERNEL_RCSID(0, "$NetBSD: fpu_explode.c,v 1.14 2022/09/07 06:51:58 rin Exp $"); 50 1.1 simonb 51 1.1 simonb #include <sys/types.h> 52 1.1 simonb #include <sys/systm.h> 53 1.1 simonb 54 1.8 rin #include <powerpc/instr.h> 55 1.8 rin #include <machine/fpu.h> 56 1.1 simonb #include <machine/ieee.h> 57 1.1 simonb #include <machine/reg.h> 58 1.1 simonb 59 1.1 simonb #include <powerpc/fpu/fpu_arith.h> 60 1.1 simonb #include <powerpc/fpu/fpu_emu.h> 61 1.1 simonb #include <powerpc/fpu/fpu_extern.h> 62 1.1 simonb 63 1.13 rin static int fpu_itof(struct fpn *, u_int); 64 1.13 rin static int fpu_xtof(struct fpn *, uint64_t); 65 1.13 rin static int fpu_stof(struct fpn *, u_int); 66 1.13 rin static int fpu_dtof(struct fpn *, u_int, u_int); 67 1.13 rin 68 1.1 simonb /* 69 1.1 simonb * N.B.: in all of the following, we assume the FP format is 70 1.1 simonb * 71 1.1 simonb * --------------------------- 72 1.1 simonb * | s | exponent | fraction | 73 1.1 simonb * --------------------------- 74 1.1 simonb * 75 1.1 simonb * (which represents -1**s * 1.fraction * 2**exponent), so that the 76 1.1 simonb * sign bit is way at the top (bit 31), the exponent is next, and 77 1.1 simonb * then the remaining bits mark the fraction. A zero exponent means 78 1.1 simonb * zero or denormalized (0.fraction rather than 1.fraction), and the 79 1.1 simonb * maximum possible exponent, 2bias+1, signals inf (fraction==0) or NaN. 80 1.1 simonb * 81 1.1 simonb * Since the sign bit is always the topmost bit---this holds even for 82 1.1 simonb * integers---we set that outside all the *tof functions. Each function 83 1.1 simonb * returns the class code for the new number (but note that we use 84 1.1 simonb * FPC_QNAN for all NaNs; fpu_explode will fix this if appropriate). 85 1.1 simonb */ 86 1.1 simonb 87 1.1 simonb /* 88 1.1 simonb * int -> fpn. 89 1.1 simonb */ 90 1.13 rin static int 91 1.11 rin fpu_itof(struct fpn *fp, u_int lo) 92 1.1 simonb { 93 1.1 simonb 94 1.11 rin if (lo == 0) 95 1.1 simonb return (FPC_ZERO); 96 1.1 simonb /* 97 1.1 simonb * The value FP_1 represents 2^FP_LG, so set the exponent 98 1.1 simonb * there and let normalization fix it up. Convert negative 99 1.1 simonb * numbers to sign-and-magnitude. Note that this relies on 100 1.1 simonb * fpu_norm()'s handling of `supernormals'; see fpu_subr.c. 101 1.1 simonb */ 102 1.1 simonb fp->fp_exp = FP_LG; 103 1.11 rin fp->fp_mant[0] = (int)lo < 0 ? -lo : lo; 104 1.1 simonb fp->fp_mant[1] = 0; 105 1.1 simonb fp->fp_mant[2] = 0; 106 1.1 simonb fp->fp_mant[3] = 0; 107 1.1 simonb fpu_norm(fp); 108 1.1 simonb return (FPC_NUM); 109 1.1 simonb } 110 1.1 simonb 111 1.1 simonb /* 112 1.1 simonb * 64-bit int -> fpn. 113 1.1 simonb */ 114 1.13 rin static int 115 1.10 rin fpu_xtof(struct fpn *fp, uint64_t i) 116 1.1 simonb { 117 1.1 simonb 118 1.1 simonb if (i == 0) 119 1.1 simonb return (FPC_ZERO); 120 1.1 simonb /* 121 1.1 simonb * The value FP_1 represents 2^FP_LG, so set the exponent 122 1.1 simonb * there and let normalization fix it up. Convert negative 123 1.1 simonb * numbers to sign-and-magnitude. Note that this relies on 124 1.1 simonb * fpu_norm()'s handling of `supernormals'; see fpu_subr.c. 125 1.1 simonb */ 126 1.1 simonb fp->fp_exp = FP_LG2; 127 1.1 simonb *((int64_t*)fp->fp_mant) = (int64_t)i < 0 ? -i : i; 128 1.1 simonb fp->fp_mant[2] = 0; 129 1.1 simonb fp->fp_mant[3] = 0; 130 1.1 simonb fpu_norm(fp); 131 1.1 simonb return (FPC_NUM); 132 1.1 simonb } 133 1.1 simonb 134 1.1 simonb #define mask(nbits) ((1L << (nbits)) - 1) 135 1.1 simonb 136 1.1 simonb /* 137 1.1 simonb * All external floating formats convert to internal in the same manner, 138 1.1 simonb * as defined here. Note that only normals get an implied 1.0 inserted. 139 1.1 simonb */ 140 1.1 simonb #define FP_TOF(exp, expbias, allfrac, f0, f1, f2, f3) \ 141 1.1 simonb if (exp == 0) { \ 142 1.1 simonb if (allfrac == 0) \ 143 1.1 simonb return (FPC_ZERO); \ 144 1.1 simonb fp->fp_exp = 1 - expbias; \ 145 1.1 simonb fp->fp_mant[0] = f0; \ 146 1.1 simonb fp->fp_mant[1] = f1; \ 147 1.1 simonb fp->fp_mant[2] = f2; \ 148 1.1 simonb fp->fp_mant[3] = f3; \ 149 1.1 simonb fpu_norm(fp); \ 150 1.1 simonb return (FPC_NUM); \ 151 1.1 simonb } \ 152 1.1 simonb if (exp == (2 * expbias + 1)) { \ 153 1.1 simonb if (allfrac == 0) \ 154 1.1 simonb return (FPC_INF); \ 155 1.1 simonb fp->fp_mant[0] = f0; \ 156 1.1 simonb fp->fp_mant[1] = f1; \ 157 1.1 simonb fp->fp_mant[2] = f2; \ 158 1.1 simonb fp->fp_mant[3] = f3; \ 159 1.1 simonb return (FPC_QNAN); \ 160 1.1 simonb } \ 161 1.1 simonb fp->fp_exp = exp - expbias; \ 162 1.1 simonb fp->fp_mant[0] = FP_1 | f0; \ 163 1.1 simonb fp->fp_mant[1] = f1; \ 164 1.1 simonb fp->fp_mant[2] = f2; \ 165 1.1 simonb fp->fp_mant[3] = f3; \ 166 1.1 simonb return (FPC_NUM) 167 1.1 simonb 168 1.1 simonb /* 169 1.1 simonb * 32-bit single precision -> fpn. 170 1.1 simonb * We assume a single occupies at most (64-FP_LG) bits in the internal 171 1.1 simonb * format: i.e., needs at most fp_mant[0] and fp_mant[1]. 172 1.1 simonb */ 173 1.13 rin static int 174 1.11 rin fpu_stof(struct fpn *fp, u_int hi) 175 1.1 simonb { 176 1.1 simonb int exp; 177 1.1 simonb u_int frac, f0, f1; 178 1.1 simonb #define SNG_SHIFT (SNG_FRACBITS - FP_LG) 179 1.1 simonb 180 1.11 rin exp = (hi >> (32 - 1 - SNG_EXPBITS)) & mask(SNG_EXPBITS); 181 1.11 rin frac = hi & mask(SNG_FRACBITS); 182 1.1 simonb f0 = frac >> SNG_SHIFT; 183 1.1 simonb f1 = frac << (32 - SNG_SHIFT); 184 1.1 simonb FP_TOF(exp, SNG_EXP_BIAS, frac, f0, f1, 0, 0); 185 1.1 simonb } 186 1.1 simonb 187 1.1 simonb /* 188 1.1 simonb * 64-bit double -> fpn. 189 1.1 simonb * We assume this uses at most (96-FP_LG) bits. 190 1.1 simonb */ 191 1.13 rin static int 192 1.11 rin fpu_dtof(struct fpn *fp, u_int hi, u_int lo) 193 1.1 simonb { 194 1.1 simonb int exp; 195 1.1 simonb u_int frac, f0, f1, f2; 196 1.1 simonb #define DBL_SHIFT (DBL_FRACBITS - 32 - FP_LG) 197 1.1 simonb 198 1.11 rin exp = (hi >> (32 - 1 - DBL_EXPBITS)) & mask(DBL_EXPBITS); 199 1.11 rin frac = hi & mask(DBL_FRACBITS - 32); 200 1.1 simonb f0 = frac >> DBL_SHIFT; 201 1.11 rin f1 = (frac << (32 - DBL_SHIFT)) | (lo >> DBL_SHIFT); 202 1.11 rin f2 = lo << (32 - DBL_SHIFT); 203 1.11 rin frac |= lo; 204 1.1 simonb FP_TOF(exp, DBL_EXP_BIAS, frac, f0, f1, f2, 0); 205 1.1 simonb } 206 1.1 simonb 207 1.1 simonb /* 208 1.1 simonb * Explode the contents of a register / regpair / regquad. 209 1.1 simonb * If the input is a signalling NaN, an NV (invalid) exception 210 1.1 simonb * will be set. (Note that nothing but NV can occur until ALU 211 1.1 simonb * operations are performed.) 212 1.1 simonb */ 213 1.1 simonb void 214 1.12 rin fpu_explode(struct fpemu *fe, struct fpn *fp, int type, uint64_t i) 215 1.1 simonb { 216 1.12 rin u_int hi, lo; 217 1.12 rin int class; 218 1.1 simonb 219 1.12 rin hi = (u_int)(i >> 32); 220 1.12 rin lo = (u_int)i; 221 1.12 rin fp->fp_sign = hi >> 31; 222 1.1 simonb fp->fp_sticky = 0; 223 1.1 simonb switch (type) { 224 1.1 simonb 225 1.1 simonb case FTYPE_LNG: 226 1.12 rin class = fpu_xtof(fp, i); 227 1.1 simonb break; 228 1.1 simonb 229 1.1 simonb case FTYPE_INT: 230 1.14 rin fp->fp_sign = lo >> 31; 231 1.12 rin class = fpu_itof(fp, lo); 232 1.1 simonb break; 233 1.1 simonb 234 1.1 simonb case FTYPE_SNG: 235 1.12 rin class = fpu_stof(fp, hi); 236 1.1 simonb break; 237 1.1 simonb 238 1.1 simonb case FTYPE_DBL: 239 1.12 rin class = fpu_dtof(fp, hi, lo); 240 1.1 simonb break; 241 1.1 simonb 242 1.7 rin default: 243 1.4 simonb panic("fpu_explode: invalid type %d", type); 244 1.1 simonb } 245 1.1 simonb 246 1.12 rin if (class == FPC_QNAN && (fp->fp_mant[0] & FP_QUIETBIT) == 0) { 247 1.1 simonb /* 248 1.1 simonb * Input is a signalling NaN. All operations that return 249 1.1 simonb * an input NaN operand put it through a ``NaN conversion'', 250 1.1 simonb * which basically just means ``turn on the quiet bit''. 251 1.1 simonb * We do this here so that all NaNs internally look quiet 252 1.1 simonb * (we can tell signalling ones by their class). 253 1.1 simonb */ 254 1.1 simonb fp->fp_mant[0] |= FP_QUIETBIT; 255 1.1 simonb fe->fe_cx = FPSCR_VXSNAN; /* assert invalid operand */ 256 1.12 rin class = FPC_SNAN; 257 1.1 simonb } 258 1.12 rin fp->fp_class = class; 259 1.1 simonb DUMPFPN(FPE_REG, fp); 260 1.1 simonb } 261