fpu_subr.c revision 1.2 1 1.2 briggs /* $NetBSD: fpu_subr.c,v 1.2 1996/04/30 11:52:38 briggs Exp $ */
2 1.1 briggs
3 1.1 briggs /*
4 1.1 briggs * Copyright (c) 1992, 1993
5 1.1 briggs * The Regents of the University of California. All rights reserved.
6 1.1 briggs *
7 1.1 briggs * This software was developed by the Computer Systems Engineering group
8 1.1 briggs * at Lawrence Berkeley Laboratory under DARPA contract BG 91-66 and
9 1.1 briggs * contributed to Berkeley.
10 1.1 briggs *
11 1.1 briggs * All advertising materials mentioning features or use of this software
12 1.1 briggs * must display the following acknowledgement:
13 1.1 briggs * This product includes software developed by the University of
14 1.1 briggs * California, Lawrence Berkeley Laboratory.
15 1.1 briggs *
16 1.1 briggs * Redistribution and use in source and binary forms, with or without
17 1.1 briggs * modification, are permitted provided that the following conditions
18 1.1 briggs * are met:
19 1.1 briggs * 1. Redistributions of source code must retain the above copyright
20 1.1 briggs * notice, this list of conditions and the following disclaimer.
21 1.1 briggs * 2. Redistributions in binary form must reproduce the above copyright
22 1.1 briggs * notice, this list of conditions and the following disclaimer in the
23 1.1 briggs * documentation and/or other materials provided with the distribution.
24 1.1 briggs * 3. All advertising materials mentioning features or use of this software
25 1.1 briggs * must display the following acknowledgement:
26 1.1 briggs * This product includes software developed by the University of
27 1.1 briggs * California, Berkeley and its contributors.
28 1.1 briggs * 4. Neither the name of the University nor the names of its contributors
29 1.1 briggs * may be used to endorse or promote products derived from this software
30 1.1 briggs * without specific prior written permission.
31 1.1 briggs *
32 1.1 briggs * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
33 1.1 briggs * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
34 1.1 briggs * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
35 1.1 briggs * ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
36 1.1 briggs * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
37 1.1 briggs * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
38 1.1 briggs * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
39 1.1 briggs * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
40 1.1 briggs * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
41 1.1 briggs * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
42 1.1 briggs * SUCH DAMAGE.
43 1.1 briggs *
44 1.1 briggs * @(#)fpu_subr.c 8.1 (Berkeley) 6/11/93
45 1.1 briggs */
46 1.1 briggs
47 1.1 briggs /*
48 1.1 briggs * FPU subroutines.
49 1.1 briggs */
50 1.1 briggs
51 1.1 briggs #include <sys/types.h>
52 1.2 briggs #include <sys/systm.h>
53 1.1 briggs
54 1.1 briggs #include <machine/reg.h>
55 1.1 briggs
56 1.1 briggs #include "fpu_emulate.h"
57 1.1 briggs #include "fpu_arith.h"
58 1.1 briggs
59 1.1 briggs /*
60 1.1 briggs * Shift the given number right rsh bits. Any bits that `fall off' will get
61 1.1 briggs * shoved into the sticky field; we return the resulting sticky. Note that
62 1.1 briggs * shifting NaNs is legal (this will never shift all bits out); a NaN's
63 1.1 briggs * sticky field is ignored anyway.
64 1.1 briggs */
65 1.1 briggs int
66 1.1 briggs fpu_shr(register struct fpn *fp, register int rsh)
67 1.1 briggs {
68 1.1 briggs register u_int m0, m1, m2, m3, s;
69 1.1 briggs register int lsh;
70 1.1 briggs
71 1.1 briggs #ifdef DIAGNOSTIC
72 1.1 briggs if (rsh <= 0 || (fp->fp_class != FPC_NUM && !ISNAN(fp)))
73 1.1 briggs panic("fpu_rightshift 1");
74 1.1 briggs #endif
75 1.1 briggs
76 1.1 briggs m0 = fp->fp_mant[0];
77 1.1 briggs m1 = fp->fp_mant[1];
78 1.1 briggs m2 = fp->fp_mant[2];
79 1.1 briggs m3 = fp->fp_mant[3];
80 1.1 briggs
81 1.1 briggs /* If shifting all the bits out, take a shortcut. */
82 1.1 briggs if (rsh >= FP_NMANT) {
83 1.1 briggs #ifdef DIAGNOSTIC
84 1.1 briggs if ((m0 | m1 | m2 | m3) == 0)
85 1.1 briggs panic("fpu_rightshift 2");
86 1.1 briggs #endif
87 1.1 briggs fp->fp_mant[0] = 0;
88 1.1 briggs fp->fp_mant[1] = 0;
89 1.1 briggs fp->fp_mant[2] = 0;
90 1.1 briggs fp->fp_mant[3] = 0;
91 1.1 briggs #ifdef notdef
92 1.1 briggs if ((m0 | m1 | m2 | m3) == 0)
93 1.1 briggs fp->fp_class = FPC_ZERO;
94 1.1 briggs else
95 1.1 briggs #endif
96 1.1 briggs fp->fp_sticky = 1;
97 1.1 briggs return (1);
98 1.1 briggs }
99 1.1 briggs
100 1.1 briggs /* Squish out full words. */
101 1.1 briggs s = fp->fp_sticky;
102 1.1 briggs if (rsh >= 32 * 3) {
103 1.1 briggs s |= m3 | m2 | m1;
104 1.1 briggs m3 = m0, m2 = 0, m1 = 0, m0 = 0;
105 1.1 briggs } else if (rsh >= 32 * 2) {
106 1.1 briggs s |= m3 | m2;
107 1.1 briggs m3 = m1, m2 = m0, m1 = 0, m0 = 0;
108 1.1 briggs } else if (rsh >= 32) {
109 1.1 briggs s |= m3;
110 1.1 briggs m3 = m2, m2 = m1, m1 = m0, m0 = 0;
111 1.1 briggs }
112 1.1 briggs
113 1.1 briggs /* Handle any remaining partial word. */
114 1.1 briggs if ((rsh &= 31) != 0) {
115 1.1 briggs lsh = 32 - rsh;
116 1.1 briggs s |= m3 << lsh;
117 1.1 briggs m3 = (m3 >> rsh) | (m2 << lsh);
118 1.1 briggs m2 = (m2 >> rsh) | (m1 << lsh);
119 1.1 briggs m1 = (m1 >> rsh) | (m0 << lsh);
120 1.1 briggs m0 >>= rsh;
121 1.1 briggs }
122 1.1 briggs fp->fp_mant[0] = m0;
123 1.1 briggs fp->fp_mant[1] = m1;
124 1.1 briggs fp->fp_mant[2] = m2;
125 1.1 briggs fp->fp_mant[3] = m3;
126 1.1 briggs fp->fp_sticky = s;
127 1.1 briggs return (s);
128 1.1 briggs }
129 1.1 briggs
130 1.1 briggs /*
131 1.1 briggs * Force a number to be normal, i.e., make its fraction have all zero
132 1.1 briggs * bits before FP_1, then FP_1, then all 1 bits. This is used for denorms
133 1.1 briggs * and (sometimes) for intermediate results.
134 1.1 briggs *
135 1.1 briggs * Internally, this may use a `supernormal' -- a number whose fp_mant
136 1.1 briggs * is greater than or equal to 2.0 -- so as a side effect you can hand it
137 1.1 briggs * a supernormal and it will fix it (provided fp->fp_mant[3] == 0).
138 1.1 briggs */
139 1.1 briggs void
140 1.1 briggs fpu_norm(register struct fpn *fp)
141 1.1 briggs {
142 1.1 briggs register u_int m0, m1, m2, m3, top, sup, nrm;
143 1.1 briggs register int lsh, rsh, exp;
144 1.1 briggs
145 1.1 briggs exp = fp->fp_exp;
146 1.1 briggs m0 = fp->fp_mant[0];
147 1.1 briggs m1 = fp->fp_mant[1];
148 1.1 briggs m2 = fp->fp_mant[2];
149 1.1 briggs m3 = fp->fp_mant[3];
150 1.1 briggs
151 1.1 briggs /* Handle severe subnormals with 32-bit moves. */
152 1.1 briggs if (m0 == 0) {
153 1.1 briggs if (m1)
154 1.1 briggs m0 = m1, m1 = m2, m2 = m3, m3 = 0, exp -= 32;
155 1.1 briggs else if (m2)
156 1.1 briggs m0 = m2, m1 = m3, m2 = 0, m3 = 0, exp -= 2 * 32;
157 1.1 briggs else if (m3)
158 1.1 briggs m0 = m3, m1 = 0, m2 = 0, m3 = 0, exp -= 3 * 32;
159 1.1 briggs else {
160 1.1 briggs fp->fp_class = FPC_ZERO;
161 1.1 briggs return;
162 1.1 briggs }
163 1.1 briggs }
164 1.1 briggs
165 1.1 briggs /* Now fix any supernormal or remaining subnormal. */
166 1.1 briggs nrm = FP_1;
167 1.1 briggs sup = nrm << 1;
168 1.1 briggs if (m0 >= sup) {
169 1.1 briggs /*
170 1.1 briggs * We have a supernormal number. We need to shift it right.
171 1.1 briggs * We may assume m3==0.
172 1.1 briggs */
173 1.1 briggs for (rsh = 1, top = m0 >> 1; top >= sup; rsh++) /* XXX slow */
174 1.1 briggs top >>= 1;
175 1.1 briggs exp += rsh;
176 1.1 briggs lsh = 32 - rsh;
177 1.1 briggs m3 = m2 << lsh;
178 1.1 briggs m2 = (m2 >> rsh) | (m1 << lsh);
179 1.1 briggs m1 = (m1 >> rsh) | (m0 << lsh);
180 1.1 briggs m0 = top;
181 1.1 briggs } else if (m0 < nrm) {
182 1.1 briggs /*
183 1.1 briggs * We have a regular denorm (a subnormal number), and need
184 1.1 briggs * to shift it left.
185 1.1 briggs */
186 1.1 briggs for (lsh = 1, top = m0 << 1; top < nrm; lsh++) /* XXX slow */
187 1.1 briggs top <<= 1;
188 1.1 briggs exp -= lsh;
189 1.1 briggs rsh = 32 - lsh;
190 1.1 briggs m0 = top | (m1 >> rsh);
191 1.1 briggs m1 = (m1 << lsh) | (m2 >> rsh);
192 1.1 briggs m2 = (m2 << lsh) | (m3 >> rsh);
193 1.1 briggs m3 <<= lsh;
194 1.1 briggs }
195 1.1 briggs
196 1.1 briggs fp->fp_exp = exp;
197 1.1 briggs fp->fp_mant[0] = m0;
198 1.1 briggs fp->fp_mant[1] = m1;
199 1.1 briggs fp->fp_mant[2] = m2;
200 1.1 briggs fp->fp_mant[3] = m3;
201 1.1 briggs }
202 1.1 briggs
203 1.1 briggs /*
204 1.1 briggs * Concoct a `fresh' Quiet NaN per Appendix N.
205 1.1 briggs * As a side effect, we set OPERR for the current exceptions.
206 1.1 briggs */
207 1.1 briggs struct fpn *
208 1.1 briggs fpu_newnan(register struct fpemu *fe)
209 1.1 briggs {
210 1.1 briggs register struct fpn *fp;
211 1.1 briggs
212 1.1 briggs fe->fe_fpsr |= FPSR_OPERR;
213 1.1 briggs fp = &fe->fe_f3;
214 1.1 briggs fp->fp_class = FPC_QNAN;
215 1.1 briggs fp->fp_sign = 0;
216 1.1 briggs fp->fp_mant[0] = FP_1 - 1;
217 1.1 briggs fp->fp_mant[1] = fp->fp_mant[2] = fp->fp_mant[3] = ~0;
218 1.1 briggs return (fp);
219 1.1 briggs }
220