fpu_subr.c revision 1.2 1 /* $NetBSD: fpu_subr.c,v 1.2 1996/04/30 11:52:38 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_subr.c 8.1 (Berkeley) 6/11/93
45 */
46
47 /*
48 * FPU subroutines.
49 */
50
51 #include <sys/types.h>
52 #include <sys/systm.h>
53
54 #include <machine/reg.h>
55
56 #include "fpu_emulate.h"
57 #include "fpu_arith.h"
58
59 /*
60 * Shift the given number right rsh bits. Any bits that `fall off' will get
61 * shoved into the sticky field; we return the resulting sticky. Note that
62 * shifting NaNs is legal (this will never shift all bits out); a NaN's
63 * sticky field is ignored anyway.
64 */
65 int
66 fpu_shr(register struct fpn *fp, register int rsh)
67 {
68 register u_int m0, m1, m2, m3, s;
69 register int lsh;
70
71 #ifdef DIAGNOSTIC
72 if (rsh <= 0 || (fp->fp_class != FPC_NUM && !ISNAN(fp)))
73 panic("fpu_rightshift 1");
74 #endif
75
76 m0 = fp->fp_mant[0];
77 m1 = fp->fp_mant[1];
78 m2 = fp->fp_mant[2];
79 m3 = fp->fp_mant[3];
80
81 /* If shifting all the bits out, take a shortcut. */
82 if (rsh >= FP_NMANT) {
83 #ifdef DIAGNOSTIC
84 if ((m0 | m1 | m2 | m3) == 0)
85 panic("fpu_rightshift 2");
86 #endif
87 fp->fp_mant[0] = 0;
88 fp->fp_mant[1] = 0;
89 fp->fp_mant[2] = 0;
90 fp->fp_mant[3] = 0;
91 #ifdef notdef
92 if ((m0 | m1 | m2 | m3) == 0)
93 fp->fp_class = FPC_ZERO;
94 else
95 #endif
96 fp->fp_sticky = 1;
97 return (1);
98 }
99
100 /* Squish out full words. */
101 s = fp->fp_sticky;
102 if (rsh >= 32 * 3) {
103 s |= m3 | m2 | m1;
104 m3 = m0, m2 = 0, m1 = 0, m0 = 0;
105 } else if (rsh >= 32 * 2) {
106 s |= m3 | m2;
107 m3 = m1, m2 = m0, m1 = 0, m0 = 0;
108 } else if (rsh >= 32) {
109 s |= m3;
110 m3 = m2, m2 = m1, m1 = m0, m0 = 0;
111 }
112
113 /* Handle any remaining partial word. */
114 if ((rsh &= 31) != 0) {
115 lsh = 32 - rsh;
116 s |= m3 << lsh;
117 m3 = (m3 >> rsh) | (m2 << lsh);
118 m2 = (m2 >> rsh) | (m1 << lsh);
119 m1 = (m1 >> rsh) | (m0 << lsh);
120 m0 >>= rsh;
121 }
122 fp->fp_mant[0] = m0;
123 fp->fp_mant[1] = m1;
124 fp->fp_mant[2] = m2;
125 fp->fp_mant[3] = m3;
126 fp->fp_sticky = s;
127 return (s);
128 }
129
130 /*
131 * Force a number to be normal, i.e., make its fraction have all zero
132 * bits before FP_1, then FP_1, then all 1 bits. This is used for denorms
133 * and (sometimes) for intermediate results.
134 *
135 * Internally, this may use a `supernormal' -- a number whose fp_mant
136 * is greater than or equal to 2.0 -- so as a side effect you can hand it
137 * a supernormal and it will fix it (provided fp->fp_mant[3] == 0).
138 */
139 void
140 fpu_norm(register struct fpn *fp)
141 {
142 register u_int m0, m1, m2, m3, top, sup, nrm;
143 register int lsh, rsh, exp;
144
145 exp = fp->fp_exp;
146 m0 = fp->fp_mant[0];
147 m1 = fp->fp_mant[1];
148 m2 = fp->fp_mant[2];
149 m3 = fp->fp_mant[3];
150
151 /* Handle severe subnormals with 32-bit moves. */
152 if (m0 == 0) {
153 if (m1)
154 m0 = m1, m1 = m2, m2 = m3, m3 = 0, exp -= 32;
155 else if (m2)
156 m0 = m2, m1 = m3, m2 = 0, m3 = 0, exp -= 2 * 32;
157 else if (m3)
158 m0 = m3, m1 = 0, m2 = 0, m3 = 0, exp -= 3 * 32;
159 else {
160 fp->fp_class = FPC_ZERO;
161 return;
162 }
163 }
164
165 /* Now fix any supernormal or remaining subnormal. */
166 nrm = FP_1;
167 sup = nrm << 1;
168 if (m0 >= sup) {
169 /*
170 * We have a supernormal number. We need to shift it right.
171 * We may assume m3==0.
172 */
173 for (rsh = 1, top = m0 >> 1; top >= sup; rsh++) /* XXX slow */
174 top >>= 1;
175 exp += rsh;
176 lsh = 32 - rsh;
177 m3 = m2 << lsh;
178 m2 = (m2 >> rsh) | (m1 << lsh);
179 m1 = (m1 >> rsh) | (m0 << lsh);
180 m0 = top;
181 } else if (m0 < nrm) {
182 /*
183 * We have a regular denorm (a subnormal number), and need
184 * to shift it left.
185 */
186 for (lsh = 1, top = m0 << 1; top < nrm; lsh++) /* XXX slow */
187 top <<= 1;
188 exp -= lsh;
189 rsh = 32 - lsh;
190 m0 = top | (m1 >> rsh);
191 m1 = (m1 << lsh) | (m2 >> rsh);
192 m2 = (m2 << lsh) | (m3 >> rsh);
193 m3 <<= lsh;
194 }
195
196 fp->fp_exp = exp;
197 fp->fp_mant[0] = m0;
198 fp->fp_mant[1] = m1;
199 fp->fp_mant[2] = m2;
200 fp->fp_mant[3] = m3;
201 }
202
203 /*
204 * Concoct a `fresh' Quiet NaN per Appendix N.
205 * As a side effect, we set OPERR for the current exceptions.
206 */
207 struct fpn *
208 fpu_newnan(register struct fpemu *fe)
209 {
210 register struct fpn *fp;
211
212 fe->fe_fpsr |= FPSR_OPERR;
213 fp = &fe->fe_f3;
214 fp->fp_class = FPC_QNAN;
215 fp->fp_sign = 0;
216 fp->fp_mant[0] = FP_1 - 1;
217 fp->fp_mant[1] = fp->fp_mant[2] = fp->fp_mant[3] = ~0;
218 return (fp);
219 }
220