fpu_explode.c revision 1.2 1 /* $NetBSD: fpu_explode.c,v 1.2 1994/11/20 20:52:41 deraadt 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 <machine/ieee.h>
55 #include <machine/instr.h>
56 #include <machine/reg.h>
57
58 #include <sparc/fpu/fpu_arith.h>
59 #include <sparc/fpu/fpu_emu.h>
60
61 /*
62 * N.B.: in all of the following, we assume the FP format is
63 *
64 * ---------------------------
65 * | s | exponent | fraction |
66 * ---------------------------
67 *
68 * (which represents -1**s * 1.fraction * 2**exponent), so that the
69 * sign bit is way at the top (bit 31), the exponent is next, and
70 * then the remaining bits mark the fraction. A zero exponent means
71 * zero or denormalized (0.fraction rather than 1.fraction), and the
72 * maximum possible exponent, 2bias+1, signals inf (fraction==0) or NaN.
73 *
74 * Since the sign bit is always the topmost bit---this holds even for
75 * integers---we set that outside all the *tof functions. Each function
76 * returns the class code for the new number (but note that we use
77 * FPC_QNAN for all NaNs; fpu_explode will fix this if appropriate).
78 */
79
80 /*
81 * int -> fpn.
82 */
83 int
84 fpu_itof(fp, i)
85 register struct fpn *fp;
86 register u_int i;
87 {
88
89 if (i == 0)
90 return (FPC_ZERO);
91 /*
92 * The value FP_1 represents 2^FP_LG, so set the exponent
93 * there and let normalization fix it up. Convert negative
94 * numbers to sign-and-magnitude. Note that this relies on
95 * fpu_norm()'s handling of `supernormals'; see fpu_subr.c.
96 */
97 fp->fp_exp = FP_LG;
98 fp->fp_mant[0] = (int)i < 0 ? -i : i;
99 fp->fp_mant[1] = 0;
100 fp->fp_mant[2] = 0;
101 fp->fp_mant[3] = 0;
102 fpu_norm(fp);
103 return (FPC_NUM);
104 }
105
106 #define mask(nbits) ((1 << (nbits)) - 1)
107
108 /*
109 * All external floating formats convert to internal in the same manner,
110 * as defined here. Note that only normals get an implied 1.0 inserted.
111 */
112 #define FP_TOF(exp, expbias, allfrac, f0, f1, f2, f3) \
113 if (exp == 0) { \
114 if (allfrac == 0) \
115 return (FPC_ZERO); \
116 fp->fp_exp = 1 - expbias; \
117 fp->fp_mant[0] = f0; \
118 fp->fp_mant[1] = f1; \
119 fp->fp_mant[2] = f2; \
120 fp->fp_mant[3] = f3; \
121 fpu_norm(fp); \
122 return (FPC_NUM); \
123 } \
124 if (exp == (2 * expbias + 1)) { \
125 if (allfrac == 0) \
126 return (FPC_INF); \
127 fp->fp_mant[0] = f0; \
128 fp->fp_mant[1] = f1; \
129 fp->fp_mant[2] = f2; \
130 fp->fp_mant[3] = f3; \
131 return (FPC_QNAN); \
132 } \
133 fp->fp_exp = exp - expbias; \
134 fp->fp_mant[0] = FP_1 | f0; \
135 fp->fp_mant[1] = f1; \
136 fp->fp_mant[2] = f2; \
137 fp->fp_mant[3] = f3; \
138 return (FPC_NUM)
139
140 /*
141 * 32-bit single precision -> fpn.
142 * We assume a single occupies at most (64-FP_LG) bits in the internal
143 * format: i.e., needs at most fp_mant[0] and fp_mant[1].
144 */
145 int
146 fpu_stof(fp, i)
147 register struct fpn *fp;
148 register u_int i;
149 {
150 register int exp;
151 register u_int frac, f0, f1;
152 #define SNG_SHIFT (SNG_FRACBITS - FP_LG)
153
154 exp = (i >> (32 - 1 - SNG_EXPBITS)) & mask(SNG_EXPBITS);
155 frac = i & mask(SNG_FRACBITS);
156 f0 = frac >> SNG_SHIFT;
157 f1 = frac << (32 - SNG_SHIFT);
158 FP_TOF(exp, SNG_EXP_BIAS, frac, f0, f1, 0, 0);
159 }
160
161 /*
162 * 64-bit double -> fpn.
163 * We assume this uses at most (96-FP_LG) bits.
164 */
165 int
166 fpu_dtof(fp, i, j)
167 register struct fpn *fp;
168 register u_int i, j;
169 {
170 register int exp;
171 register u_int frac, f0, f1, f2;
172 #define DBL_SHIFT (DBL_FRACBITS - 32 - FP_LG)
173
174 exp = (i >> (32 - 1 - DBL_EXPBITS)) & mask(DBL_EXPBITS);
175 frac = i & mask(DBL_FRACBITS - 32);
176 f0 = frac >> DBL_SHIFT;
177 f1 = (frac << (32 - DBL_SHIFT)) | (j >> DBL_SHIFT);
178 f2 = j << (32 - DBL_SHIFT);
179 frac |= j;
180 FP_TOF(exp, DBL_EXP_BIAS, frac, f0, f1, f2, 0);
181 }
182
183 /*
184 * 128-bit extended -> fpn.
185 */
186 int
187 fpu_xtof(fp, i, j, k, l)
188 register struct fpn *fp;
189 register u_int i, j, k, l;
190 {
191 register int exp;
192 register u_int frac, f0, f1, f2, f3;
193 #define EXT_SHIFT (-(EXT_FRACBITS - 3 * 32 - FP_LG)) /* left shift! */
194
195 /*
196 * Note that ext and fpn `line up', hence no shifting needed.
197 */
198 exp = (i >> (32 - 1 - EXT_EXPBITS)) & mask(EXT_EXPBITS);
199 frac = i & mask(EXT_FRACBITS - 3 * 32);
200 f0 = (frac << EXT_SHIFT) | (j >> (32 - EXT_SHIFT));
201 f1 = (j << EXT_SHIFT) | (k >> (32 - EXT_SHIFT));
202 f2 = (k << EXT_SHIFT) | (l >> (32 - EXT_SHIFT));
203 f3 = l << EXT_SHIFT;
204 frac |= j | k | l;
205 FP_TOF(exp, EXT_EXP_BIAS, frac, f0, f1, f2, f3);
206 }
207
208 /*
209 * Explode the contents of a register / regpair / regquad.
210 * If the input is a signalling NaN, an NV (invalid) exception
211 * will be set. (Note that nothing but NV can occur until ALU
212 * operations are performed.)
213 */
214 void
215 fpu_explode(fe, fp, type, reg)
216 register struct fpemu *fe;
217 register struct fpn *fp;
218 int type, reg;
219 {
220 register u_int s, *space;
221
222 space = &fe->fe_fpstate->fs_regs[reg];
223 s = space[0];
224 fp->fp_sign = s >> 31;
225 fp->fp_sticky = 0;
226 switch (type) {
227
228 case FTYPE_INT:
229 s = fpu_itof(fp, s);
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 case FTYPE_EXT:
241 s = fpu_xtof(fp, s, space[1], space[2], space[3]);
242 break;
243
244 default:
245 panic("fpu_explode");
246 }
247 if (s == FPC_QNAN && (fp->fp_mant[0] & FP_QUIETBIT) == 0) {
248 /*
249 * Input is a signalling NaN. All operations that return
250 * an input NaN operand put it through a ``NaN conversion'',
251 * which basically just means ``turn on the quiet bit''.
252 * We do this here so that all NaNs internally look quiet
253 * (we can tell signalling ones by their class).
254 */
255 fp->fp_mant[0] |= FP_QUIETBIT;
256 fe->fe_cx = FSR_NV; /* assert invalid operand */
257 s = FPC_SNAN;
258 }
259 fp->fp_class = s;
260 }
261