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[deliverable/binutils-gdb.git] / gas / flonum-mult.c
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1/* flonum_multip.c - multiply two flonums
2 Copyright (C) 1987, 1990, 1991 Free Software Foundation, Inc.
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3
4 This file is part of Gas, the GNU Assembler.
5
6 The GNU assembler is distributed in the hope that it will be
7 useful, but WITHOUT ANY WARRANTY. No author or distributor
8 accepts responsibility to anyone for the consequences of using it
9 or for whether it serves any particular purpose or works at all,
10 unless he says so in writing. Refer to the GNU Assembler General
11 Public License for full details.
12
13 Everyone is granted permission to copy, modify and redistribute
14 the GNU Assembler, but only under the conditions described in the
15 GNU Assembler General Public License. A copy of this license is
16 supposed to have been given to you along with the GNU Assembler
17 so you can know your rights and responsibilities. It should be
18 in a file named COPYING. Among other things, the copyright
19 notice and this notice must be preserved on all copies. */
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20
21#include "flonum.h"
22
23/* plan for a . b => p(roduct)
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24
25
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26 +-------+-------+-/ /-+-------+-------+
27 | a | a | ... | a | a |
28 | A | A-1 | | 1 | 0 |
29 +-------+-------+-/ /-+-------+-------+
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30
31
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32 +-------+-------+-/ /-+-------+-------+
33 | b | b | ... | b | b |
34 | B | B-1 | | 1 | 0 |
35 +-------+-------+-/ /-+-------+-------+
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36
37
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38 +-------+-------+-/ /-+-------+-/ /-+-------+-------+
39 | p | p | ... | p | ... | p | p |
40 | A+B+1| A+B | | N | | 1 | 0 |
41 +-------+-------+-/ /-+-------+-/ /-+-------+-------+
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42
43 /^\
44 (carry) a .b ... | ... a .b a .b
45 A B | 0 1 0 0
46 |
47 ... | ... a .b
48 | 1 0
49 |
50 | ...
51 |
52 |
53 |
54 | ___
55 | \
56 +----- P = > a .b
57 N /__ i j
58
59 N = 0 ... A+B
60
61 for all i,j where i+j=N
62 [i,j integers > 0]
63
64 a[], b[], p[] may not intersect.
65 Zero length factors signify 0 significant bits: treat as 0.0.
66 0.0 factors do the right thing.
67 Zero length product OK.
68
69 I chose the ForTran accent "foo[bar]" instead of the C accent "*garply"
70 because I felt the ForTran way was more intuitive. The C way would
71 probably yield better code on most C compilers. Dean Elsner.
72 (C style also gives deeper insight [to me] ... oh well ...)
73 */
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74\f
75void flonum_multip (a, b, product)
76const FLONUM_TYPE *a;
77const FLONUM_TYPE *b;
78FLONUM_TYPE *product;
79{
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80 int size_of_a; /* 0 origin */
81 int size_of_b; /* 0 origin */
82 int size_of_product; /* 0 origin */
83 int size_of_sum; /* 0 origin */
84 int extra_product_positions;/* 1 origin */
85 unsigned long work;
86 unsigned long carry;
87 long exponent;
88 LITTLENUM_TYPE * q;
89 long significant; /* TRUE when we emit a non-0 littlenum */
90 /* ForTran accent follows. */
91 int P; /* Scan product low-order -> high. */
92 int N; /* As in sum above. */
93 int A; /* Which [] of a? */
94 int B; /* Which [] of b? */
95
96 if((a->sign!='-' && a->sign!='+') || (b->sign!='-' && b->sign!='+')) {
97 /* ...
98 Got to fail somehow. Any suggestions? */
99 product->sign=0;
100 return;
101 }
102 product -> sign = (a->sign == b->sign) ? '+' : '-';
103 size_of_a = a -> leader - a -> low;
104 size_of_b = b -> leader - b -> low;
105 exponent = a -> exponent + b -> exponent;
106 size_of_product = product -> high - product -> low;
107 size_of_sum = size_of_a + size_of_b;
108 extra_product_positions = size_of_product - size_of_sum;
109 if (extra_product_positions < 0)
110 {
111 P = extra_product_positions; /* P < 0 */
112 exponent -= extra_product_positions; /* Increases exponent. */
113 }
114 else
fecd2382 115 {
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116 P = 0;
117 }
118 carry = 0;
119 significant = 0;
120 for (N = 0;
121 N <= size_of_sum;
122 N++)
123 {
124 work = carry;
125 carry = 0;
126 for (A = 0;
127 A <= N;
128 A ++)
129 {
130 B = N - A;
131 if (A <= size_of_a && B <= size_of_b && B >= 0)
132 {
fecd2382 133#ifdef TRACE
a39116f1 134 printf("a:low[%d.]=%04x b:low[%d.]=%04x work_before=%08x\n", A, a->low[A], B, b->low[B], work);
fecd2382 135#endif
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136 work += a -> low [A] * b -> low [B];
137 carry += work >> LITTLENUM_NUMBER_OF_BITS;
138 work &= LITTLENUM_MASK;
fecd2382 139#ifdef TRACE
a39116f1 140 printf("work=%08x carry=%04x\n", work, carry);
fecd2382 141#endif
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142 }
143 }
144 significant |= work;
145 if (significant || P<0)
146 {
147 if (P >= 0)
148 {
149 product -> low [P] = work;
fecd2382 150#ifdef TRACE
a39116f1 151 printf("P=%d. work[p]:=%04x\n", P, work);
fecd2382 152#endif
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153 }
154 P ++;
155 }
156 else
157 {
158 extra_product_positions ++;
159 exponent ++;
160 }
fecd2382 161 }
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162 /*
163 * [P]-> position # size_of_sum + 1.
164 * This is where 'carry' should go.
165 */
fecd2382 166#ifdef TRACE
a39116f1 167 printf("final carry =%04x\n", carry);
fecd2382 168#endif
a39116f1 169 if (carry)
fecd2382 170 {
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171 if (extra_product_positions > 0)
172 {
173 product -> low [P] = carry;
174 }
175 else
176 {
177 /* No room at high order for carry littlenum. */
178 /* Shift right 1 to make room for most significant littlenum. */
179 exponent ++;
180 P --;
181 for (q = product -> low + P;
182 q >= product -> low;
183 q --)
184 {
185 work = * q;
186 * q = carry;
187 carry = work;
188 }
189 }
fecd2382 190 }
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191 else
192 {
193 P --;
194 }
195 product -> leader = product -> low + P;
196 product -> exponent = exponent;
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197}
198
8b228fe9 199/* end of flonum_mult.c */
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