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1 | /* flonum_mult.c - multiply two flonums |
2 | Copyright (C) 1987, 1990, 1991, 1992 Free Software Foundation, Inc. | |
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. */ | |
20 | ||
21 | #include <ansidecl.h> | |
22 | #include "flonum.h" | |
23 | ||
24 | /* plan for a . b => p(roduct) | |
25 | ||
26 | ||
27 | +-------+-------+-/ /-+-------+-------+ | |
28 | | a | a | ... | a | a | | |
29 | | A | A-1 | | 1 | 0 | | |
30 | +-------+-------+-/ /-+-------+-------+ | |
31 | ||
32 | ||
33 | +-------+-------+-/ /-+-------+-------+ | |
34 | | b | b | ... | b | b | | |
35 | | B | B-1 | | 1 | 0 | | |
36 | +-------+-------+-/ /-+-------+-------+ | |
37 | ||
38 | ||
39 | +-------+-------+-/ /-+-------+-/ /-+-------+-------+ | |
40 | | p | p | ... | p | ... | p | p | | |
41 | | A+B+1| A+B | | N | | 1 | 0 | | |
42 | +-------+-------+-/ /-+-------+-/ /-+-------+-------+ | |
43 | ||
44 | /^\ | |
45 | (carry) a .b ... | ... a .b a .b | |
46 | A B | 0 1 0 0 | |
47 | | | |
48 | ... | ... a .b | |
49 | | 1 0 | |
50 | | | |
51 | | ... | |
52 | | | |
53 | | | |
54 | | | |
55 | | ___ | |
56 | | \ | |
57 | +----- P = > a .b | |
58 | N /__ i j | |
59 | ||
60 | N = 0 ... A+B | |
61 | ||
62 | for all i,j where i+j=N | |
63 | [i,j integers > 0] | |
64 | ||
65 | a[], b[], p[] may not intersect. | |
66 | Zero length factors signify 0 significant bits: treat as 0.0. | |
67 | 0.0 factors do the right thing. | |
68 | Zero length product OK. | |
69 | ||
70 | I chose the ForTran accent "foo[bar]" instead of the C accent "*garply" | |
71 | because I felt the ForTran way was more intuitive. The C way would | |
72 | probably yield better code on most C compilers. Dean Elsner. | |
73 | (C style also gives deeper insight [to me] ... oh well ...) | |
74 | */ | |
75 | \f | |
76 | void | |
77 | flonum_multip (a, b, product) | |
78 | const FLONUM_TYPE *a; | |
79 | const FLONUM_TYPE *b; | |
80 | FLONUM_TYPE *product; | |
81 | { | |
82 | int size_of_a; /* 0 origin */ | |
83 | int size_of_b; /* 0 origin */ | |
84 | int size_of_product; /* 0 origin */ | |
85 | int size_of_sum; /* 0 origin */ | |
86 | int extra_product_positions; /* 1 origin */ | |
87 | unsigned long work; | |
88 | unsigned long carry; | |
89 | long exponent; | |
90 | LITTLENUM_TYPE *q; | |
91 | long significant; /* TRUE when we emit a non-0 littlenum */ | |
92 | /* ForTran accent follows. */ | |
93 | int P; /* Scan product low-order -> high. */ | |
94 | int N; /* As in sum above. */ | |
95 | int A; /* Which [] of a? */ | |
96 | int B; /* Which [] of b? */ | |
97 | ||
98 | if ((a->sign != '-' && a->sign != '+') || (b->sign != '-' && b->sign != '+')) | |
99 | { | |
100 | /* ... | |
101 | Got to fail somehow. Any suggestions? */ | |
102 | product->sign = 0; | |
103 | return; | |
104 | } | |
105 | product->sign = (a->sign == b->sign) ? '+' : '-'; | |
106 | size_of_a = a->leader - a->low; | |
107 | size_of_b = b->leader - b->low; | |
108 | exponent = a->exponent + b->exponent; | |
109 | size_of_product = product->high - product->low; | |
110 | size_of_sum = size_of_a + size_of_b; | |
111 | extra_product_positions = size_of_product - size_of_sum; | |
112 | if (extra_product_positions < 0) | |
113 | { | |
114 | P = extra_product_positions; /* P < 0 */ | |
115 | exponent -= extra_product_positions; /* Increases exponent. */ | |
116 | } | |
117 | else | |
118 | { | |
119 | P = 0; | |
120 | } | |
121 | carry = 0; | |
122 | significant = 0; | |
123 | for (N = 0; N <= size_of_sum; N++) | |
124 | { | |
125 | work = carry; | |
126 | carry = 0; | |
127 | for (A = 0; A <= N; A++) | |
128 | { | |
129 | B = N - A; | |
130 | if (A <= size_of_a && B <= size_of_b && B >= 0) | |
131 | { | |
132 | #ifdef TRACE | |
133 | printf ("a:low[%d.]=%04x b:low[%d.]=%04x work_before=%08x\n", A, a->low[A], B, b->low[B], work); | |
134 | #endif | |
135 | /* Watch out for sign extension! Without the casts, on | |
136 | the DEC Alpha, the multiplication result is *signed* | |
137 | int, which gets sign-extended to convert to the | |
138 | unsigned long! */ | |
139 | work += (unsigned long) a->low[A] * (unsigned long) b->low[B]; | |
140 | carry += work >> LITTLENUM_NUMBER_OF_BITS; | |
141 | work &= LITTLENUM_MASK; | |
142 | #ifdef TRACE | |
143 | printf ("work=%08x carry=%04x\n", work, carry); | |
144 | #endif | |
145 | } | |
146 | } | |
147 | significant |= work; | |
148 | if (significant || P < 0) | |
149 | { | |
150 | if (P >= 0) | |
151 | { | |
152 | product->low[P] = work; | |
153 | #ifdef TRACE | |
154 | printf ("P=%d. work[p]:=%04x\n", P, work); | |
155 | #endif | |
156 | } | |
157 | P++; | |
158 | } | |
159 | else | |
160 | { | |
161 | extra_product_positions++; | |
162 | exponent++; | |
163 | } | |
164 | } | |
165 | /* | |
166 | * [P]-> position # size_of_sum + 1. | |
167 | * This is where 'carry' should go. | |
168 | */ | |
169 | #ifdef TRACE | |
170 | printf ("final carry =%04x\n", carry); | |
171 | #endif | |
172 | if (carry) | |
173 | { | |
174 | if (extra_product_positions > 0) | |
175 | { | |
176 | product->low[P] = carry; | |
177 | } | |
178 | else | |
179 | { | |
180 | /* No room at high order for carry littlenum. */ | |
181 | /* Shift right 1 to make room for most significant littlenum. */ | |
182 | exponent++; | |
183 | P--; | |
184 | for (q = product->low + P; q >= product->low; q--) | |
185 | { | |
186 | work = *q; | |
187 | *q = carry; | |
188 | carry = work; | |
189 | } | |
190 | } | |
191 | } | |
192 | else | |
193 | { | |
194 | P--; | |
195 | } | |
196 | product->leader = product->low + P; | |
197 | product->exponent = exponent; | |
198 | } | |
199 | ||
200 | /* end of flonum_mult.c */ |