fpu_explode.c revision 1.1 1 /* $NetBSD: fpu_explode.c,v 1.1 1995/11/03 04:47:07 briggs Exp $ */
2
3 /*
4 * Copyright (c) 1992, 1993
5 * The Regents of the University of California. All rights reserved.
6 *
7 * This software was developed by the Computer Systems Engineering group
8 * at Lawrence Berkeley Laboratory under DARPA contract BG 91-66 and
9 * contributed to Berkeley.
10 *
11 * All advertising materials mentioning features or use of this software
12 * must display the following acknowledgement:
13 * This product includes software developed by the University of
14 * California, Lawrence Berkeley Laboratory.
15 *
16 * Redistribution and use in source and binary forms, with or without
17 * modification, are permitted provided that the following conditions
18 * are met:
19 * 1. Redistributions of source code must retain the above copyright
20 * notice, this list of conditions and the following disclaimer.
21 * 2. Redistributions in binary form must reproduce the above copyright
22 * notice, this list of conditions and the following disclaimer in the
23 * documentation and/or other materials provided with the distribution.
24 * 3. All advertising materials mentioning features or use of this software
25 * must display the following acknowledgement:
26 * This product includes software developed by the University of
27 * California, Berkeley and its contributors.
28 * 4. Neither the name of the University nor the names of its contributors
29 * may be used to endorse or promote products derived from this software
30 * without specific prior written permission.
31 *
32 * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
33 * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
34 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
35 * ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
36 * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
37 * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
38 * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
39 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
40 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
41 * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
42 * SUCH DAMAGE.
43 *
44 * @(#)fpu_explode.c 8.1 (Berkeley) 6/11/93
45 */
46
47 /*
48 * FPU subroutines: `explode' the machine's `packed binary' format numbers
49 * into our internal format.
50 */
51
52 #include <sys/types.h>
53
54 #include "ieee.h"
55 #include <machine/reg.h>
56
57 #include "fpu_arith.h"
58 #include "fpu_emulate.h"
59
60
61 /* Conversion to internal format -- note asymmetry. */
62 static int fpu_itof __P((struct fpn *fp, u_int i));
63 static int fpu_stof __P((struct fpn *fp, u_int i));
64 static int fpu_dtof __P((struct fpn *fp, u_int i, u_int j));
65 static int fpu_xtof __P((struct fpn *fp, u_int i, u_int j, u_int k));
66
67 /*
68 * N.B.: in all of the following, we assume the FP format is
69 *
70 * ---------------------------
71 * | s | exponent | fraction |
72 * ---------------------------
73 *
74 * (which represents -1**s * 1.fraction * 2**exponent), so that the
75 * sign bit is way at the top (bit 31), the exponent is next, and
76 * then the remaining bits mark the fraction. A zero exponent means
77 * zero or denormalized (0.fraction rather than 1.fraction), and the
78 * maximum possible exponent, 2bias+1, signals inf (fraction==0) or NaN.
79 *
80 * Since the sign bit is always the topmost bit---this holds even for
81 * integers---we set that outside all the *tof functions. Each function
82 * returns the class code for the new number (but note that we use
83 * FPC_QNAN for all NaNs; fpu_explode will fix this if appropriate).
84 */
85
86 /*
87 * int -> fpn.
88 */
89 static int
90 fpu_itof(fp, i)
91 register struct fpn *fp;
92 register u_int i;
93 {
94
95 if (i == 0)
96 return (FPC_ZERO);
97 /*
98 * The value FP_1 represents 2^FP_LG, so set the exponent
99 * there and let normalization fix it up. Convert negative
100 * numbers to sign-and-magnitude. Note that this relies on
101 * fpu_norm()'s handling of `supernormals'; see fpu_subr.c.
102 */
103 fp->fp_exp = FP_LG;
104 fp->fp_mant[0] = (int)i < 0 ? -i : i;
105 fp->fp_mant[1] = 0;
106 fp->fp_mant[2] = 0;
107 fp->fp_mant[3] = 0;
108 fpu_norm(fp);
109 return (FPC_NUM);
110 }
111
112 #define mask(nbits) ((1 << (nbits)) - 1)
113
114 /*
115 * All external floating formats convert to internal in the same manner,
116 * as defined here. Note that only normals get an implied 1.0 inserted.
117 */
118 #define FP_TOF(exp, expbias, allfrac, f0, f1, f2, f3) \
119 if (exp == 0) { \
120 if (allfrac == 0) \
121 return (FPC_ZERO); \
122 fp->fp_exp = 1 - expbias; \
123 fp->fp_mant[0] = f0; \
124 fp->fp_mant[1] = f1; \
125 fp->fp_mant[2] = f2; \
126 fp->fp_mant[3] = f3; \
127 fpu_norm(fp); \
128 return (FPC_NUM); \
129 } \
130 if (exp == (2 * expbias + 1)) { \
131 if (allfrac == 0) \
132 return (FPC_INF); \
133 fp->fp_mant[0] = f0; \
134 fp->fp_mant[1] = f1; \
135 fp->fp_mant[2] = f2; \
136 fp->fp_mant[3] = f3; \
137 return (FPC_QNAN); \
138 } \
139 fp->fp_exp = exp - expbias; \
140 fp->fp_mant[0] = FP_1 | f0; \
141 fp->fp_mant[1] = f1; \
142 fp->fp_mant[2] = f2; \
143 fp->fp_mant[3] = f3; \
144 return (FPC_NUM)
145
146 /*
147 * 32-bit single precision -> fpn.
148 * We assume a single occupies at most (64-FP_LG) bits in the internal
149 * format: i.e., needs at most fp_mant[0] and fp_mant[1].
150 */
151 static int
152 fpu_stof(fp, i)
153 register struct fpn *fp;
154 register u_int i;
155 {
156 register int exp;
157 register u_int frac, f0, f1;
158 #define SNG_SHIFT (SNG_FRACBITS - FP_LG)
159
160 exp = (i >> (32 - 1 - SNG_EXPBITS)) & mask(SNG_EXPBITS);
161 frac = i & mask(SNG_FRACBITS);
162 f0 = frac >> SNG_SHIFT;
163 f1 = frac << (32 - SNG_SHIFT);
164 FP_TOF(exp, SNG_EXP_BIAS, frac, f0, f1, 0, 0);
165 }
166
167 /*
168 * 64-bit double -> fpn.
169 * We assume this uses at most (96-FP_LG) bits.
170 */
171 static int
172 fpu_dtof(fp, i, j)
173 register struct fpn *fp;
174 register u_int i, j;
175 {
176 register int exp;
177 register u_int frac, f0, f1, f2;
178 #define DBL_SHIFT (DBL_FRACBITS - 32 - FP_LG)
179
180 exp = (i >> (32 - 1 - DBL_EXPBITS)) & mask(DBL_EXPBITS);
181 frac = i & mask(DBL_FRACBITS - 32);
182 f0 = frac >> DBL_SHIFT;
183 f1 = (frac << (32 - DBL_SHIFT)) | (j >> DBL_SHIFT);
184 f2 = j << (32 - DBL_SHIFT);
185 frac |= j;
186 FP_TOF(exp, DBL_EXP_BIAS, frac, f0, f1, f2, 0);
187 }
188
189 /*
190 * 96-bit extended -> fpn.
191 */
192 static int
193 fpu_xtof(fp, i, j, k)
194 register struct fpn *fp;
195 register u_int i, j, k;
196 {
197 register int exp;
198 register u_int frac, f0, f1, f2;
199 #define EXT_SHIFT (EXT_FRACBITS - 1 - 32 - FP_LG)
200
201 exp = (i >> (32 - 1 - EXT_EXPBITS)) & mask(EXT_EXPBITS);
202 f0 = j >> EXT_SHIFT;
203 f1 = (j << (32 - EXT_SHIFT)) | (k >> EXT_SHIFT);
204 f2 = k << (32 - EXT_SHIFT);
205 frac = j | k;
206
207 /* m68k extended does not imply denormal by exp==0 */
208 if (exp == 0) {
209 if (frac == 0)
210 return (FPC_ZERO);
211 fp->fp_exp = - EXT_EXP_BIAS;
212 fp->fp_mant[0] = f0;
213 fp->fp_mant[1] = f1;
214 fp->fp_mant[2] = f2;
215 fp->fp_mant[3] = 0;
216 fpu_norm(fp);
217 return (FPC_NUM);
218 }
219 if (exp == (2 * EXT_EXP_BIAS + 1)) {
220 if (frac == 0)
221 return (FPC_INF);
222 fp->fp_mant[0] = f0;
223 fp->fp_mant[1] = f1;
224 fp->fp_mant[2] = f2;
225 fp->fp_mant[3] = 0;
226 return (FPC_QNAN);
227 }
228 fp->fp_exp = exp - EXT_EXP_BIAS;
229 fp->fp_mant[0] = FP_1 | f0;
230 fp->fp_mant[1] = f1;
231 fp->fp_mant[2] = f2;
232 fp->fp_mant[3] = 0;
233 return (FPC_NUM);
234 }
235
236 /*
237 * Explode the contents of a memory operand.
238 */
239 void
240 fpu_explode(fe, fp, type, space)
241 register struct fpemu *fe;
242 register struct fpn *fp;
243 int type;
244 register u_int *space;
245 {
246 register u_int s;
247
248 s = space[0];
249 fp->fp_sign = s >> 31;
250 fp->fp_sticky = 0;
251 switch (type) {
252
253 case FTYPE_BYT:
254 s >>= 8;
255 case FTYPE_WRD:
256 s >>= 16;
257 case FTYPE_LNG:
258 s = fpu_itof(fp, s);
259 break;
260
261 case FTYPE_SNG:
262 s = fpu_stof(fp, s);
263 break;
264
265 case FTYPE_DBL:
266 s = fpu_dtof(fp, s, space[1]);
267 break;
268
269 case FTYPE_EXT:
270 s = fpu_xtof(fp, s, space[1], space[2]);
271 break;
272
273 default:
274 panic("fpu_explode");
275 }
276 if (s == FPC_QNAN && (fp->fp_mant[0] & FP_QUIETBIT) == 0) {
277 /*
278 * Input is a signalling NaN. All operations that return
279 * an input NaN operand put it through a ``NaN conversion'',
280 * which basically just means ``turn on the quiet bit''.
281 * We do this here so that all NaNs internally look quiet
282 * (we can tell signalling ones by their class).
283 */
284 fp->fp_mant[0] |= FP_QUIETBIT;
285 fe->fe_fpsr |= FPSR_SNAN; /* assert SNAN exception */
286 s = FPC_SNAN;
287 }
288 fp->fp_class = s;
289 }
290