1/*	$NetBSD: fpu_explode.c,v 1.10 2009/03/14 21:04:11 dsl 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. Neither the name of the University nor the names of its contributors
25 *    may be used to endorse or promote products derived from this software
26 *    without specific prior written permission.
27 *
28 * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
29 * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
30 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
31 * ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
32 * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
33 * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
34 * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
35 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
36 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
37 * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
38 * SUCH DAMAGE.
39 *
40 *	@(#)fpu_explode.c	8.1 (Berkeley) 6/11/93
41 */
42
43/*
44 * FPU subroutines: `explode' the machine's `packed binary' format numbers
45 * into our internal format.
46 */
47
48#include <sys/cdefs.h>
49__KERNEL_RCSID(0, "$NetBSD: fpu_explode.c,v 1.10 2009/03/14 21:04:11 dsl Exp $");
50
51#include <sys/types.h>
52#include <sys/systm.h>
53
54#include <machine/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. */
62static int	fpu_itof(struct fpn *fp, u_int i);
63static int	fpu_stof(struct fpn *fp, u_int i);
64static int	fpu_dtof(struct fpn *fp, u_int i, u_int j);
65static int	fpu_xtof(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 */
89static int
90fpu_itof(register struct fpn *fp, register u_int i)
91{
92
93	if (i == 0)
94		return (FPC_ZERO);
95	/*
96	 * The value FP_1 represents 2^FP_LG, so set the exponent
97	 * there and let normalization fix it up.  Convert negative
98	 * numbers to sign-and-magnitude.  Note that this relies on
99	 * fpu_norm()'s handling of `supernormals'; see fpu_subr.c.
100	 */
101	fp->fp_exp = FP_LG;
102	fp->fp_mant[0] = (int)i < 0 ? -i : i;
103	fp->fp_mant[1] = 0;
104	fp->fp_mant[2] = 0;
105	fpu_norm(fp);
106	return (FPC_NUM);
107}
108
109#define	mask(nbits) ((1 << (nbits)) - 1)
110
111/*
112 * All external floating formats convert to internal in the same manner,
113 * as defined here.  Note that only normals get an implied 1.0 inserted.
114 */
115#define	FP_TOF(exp, expbias, allfrac, f0, f1, f2, f3) \
116	if (exp == 0) { \
117		if (allfrac == 0) \
118			return (FPC_ZERO); \
119		fp->fp_exp = 1 - expbias; \
120		fp->fp_mant[0] = f0; \
121		fp->fp_mant[1] = f1; \
122		fp->fp_mant[2] = f2; \
123		fpu_norm(fp); \
124		return (FPC_NUM); \
125	} \
126	if (exp == (2 * expbias + 1)) { \
127		if (allfrac == 0) \
128			return (FPC_INF); \
129		fp->fp_mant[0] = f0; \
130		fp->fp_mant[1] = f1; \
131		fp->fp_mant[2] = f2; \
132		return (FPC_QNAN); \
133	} \
134	fp->fp_exp = exp - expbias; \
135	fp->fp_mant[0] = FP_1 | f0; \
136	fp->fp_mant[1] = f1; \
137	fp->fp_mant[2] = f2; \
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 */
145static int
146fpu_stof(register struct fpn *fp, register u_int i)
147{
148	register int exp;
149	register u_int frac, f0, f1;
150#define SNG_SHIFT (SNG_FRACBITS - FP_LG)
151
152	exp = (i >> (32 - 1 - SNG_EXPBITS)) & mask(SNG_EXPBITS);
153	frac = i & mask(SNG_FRACBITS);
154	f0 = frac >> SNG_SHIFT;
155	f1 = frac << (32 - SNG_SHIFT);
156	FP_TOF(exp, SNG_EXP_BIAS, frac, f0, f1, 0, 0);
157}
158
159/*
160 * 64-bit double -> fpn.
161 * We assume this uses at most (96-FP_LG) bits.
162 */
163static int
164fpu_dtof(register struct fpn *fp, register u_int i, register u_int j)
165{
166	register int exp;
167	register u_int frac, f0, f1, f2;
168#define DBL_SHIFT (DBL_FRACBITS - 32 - FP_LG)
169
170	exp = (i >> (32 - 1 - DBL_EXPBITS)) & mask(DBL_EXPBITS);
171	frac = i & mask(DBL_FRACBITS - 32);
172	f0 = frac >> DBL_SHIFT;
173	f1 = (frac << (32 - DBL_SHIFT)) | (j >> DBL_SHIFT);
174	f2 = j << (32 - DBL_SHIFT);
175	frac |= j;
176	FP_TOF(exp, DBL_EXP_BIAS, frac, f0, f1, f2, 0);
177}
178
179/*
180 * 96-bit extended -> fpn.
181 */
182static int
183fpu_xtof(register struct fpn *fp, register u_int i, register u_int j,
184	register u_int k)
185{
186	register int exp;
187	register u_int frac, f0, f1, f2;
188#define EXT_SHIFT (EXT_FRACBITS - 1 - 32 - FP_LG)
189
190	exp = (i >> (32 - 1 - EXT_EXPBITS)) & mask(EXT_EXPBITS);
191	f0 = j >> EXT_SHIFT;
192	f1 = (j << (32 - EXT_SHIFT)) | (k >> EXT_SHIFT);
193	f2 = k << (32 - EXT_SHIFT);
194	frac = j | k;
195
196	/* m68k extended does not imply denormal by exp==0 */
197	if (exp == 0) {
198		if (frac == 0)
199			return (FPC_ZERO);
200		fp->fp_exp = - EXT_EXP_BIAS;
201		fp->fp_mant[0] = f0;
202		fp->fp_mant[1] = f1;
203		fp->fp_mant[2] = f2;
204		fpu_norm(fp);
205		return (FPC_NUM);
206	}
207	if (exp == (2 * EXT_EXP_BIAS + 1)) {
208		if (frac == 0)
209			return (FPC_INF);
210		fp->fp_mant[0] = f0;
211		fp->fp_mant[1] = f1;
212		fp->fp_mant[2] = f2;
213		return (FPC_QNAN);
214	}
215	fp->fp_exp = exp - EXT_EXP_BIAS;
216	fp->fp_mant[0] = FP_1 | f0;
217	fp->fp_mant[1] = f1;
218	fp->fp_mant[2] = f2;
219	return (FPC_NUM);
220}
221
222/*
223 * Explode the contents of a memory operand.
224 */
225void
226fpu_explode(register struct fpemu *fe, register struct fpn *fp, int type,
227	register u_int *space)
228{
229	register u_int s;
230
231	s = space[0];
232	fp->fp_sign = s >> 31;
233	fp->fp_sticky = 0;
234	switch (type) {
235
236	case FTYPE_BYT:
237		s >>= 8;
238	case FTYPE_WRD:
239		s >>= 16;
240	case FTYPE_LNG:
241		s = fpu_itof(fp, s);
242		break;
243
244	case FTYPE_SNG:
245		s = fpu_stof(fp, s);
246		break;
247
248	case FTYPE_DBL:
249		s = fpu_dtof(fp, s, space[1]);
250		break;
251
252	case FTYPE_EXT:
253		s = fpu_xtof(fp, s, space[1], space[2]);
254		break;
255
256	default:
257		panic("fpu_explode");
258	}
259	if (s == FPC_QNAN && (fp->fp_mant[0] & FP_QUIETBIT) == 0) {
260		/*
261		 * Input is a signalling NaN.  All operations that return
262		 * an input NaN operand put it through a ``NaN conversion'',
263		 * which basically just means ``turn on the quiet bit''.
264		 * We do this here so that all NaNs internally look quiet
265		 * (we can tell signalling ones by their class).
266		 */
267		fp->fp_mant[0] |= FP_QUIETBIT;
268		fe->fe_fpsr |= FPSR_SNAN;	/* assert SNAN exception */
269		s = FPC_SNAN;
270	}
271	fp->fp_class = s;
272}
273