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252b5132 | 1 | /* flonum_mult.c - multiply two flonums |
b3adc24a | 2 | Copyright (C) 1987-2020 Free Software Foundation, Inc. |
252b5132 | 3 | |
ec2655a6 | 4 | This file is part of GAS, the GNU Assembler. |
252b5132 | 5 | |
ec2655a6 NC |
6 | GAS is free software; you can redistribute it and/or modify |
7 | it under the terms of the GNU General Public License as published by | |
8 | the Free Software Foundation; either version 3, or (at your option) | |
9 | any later version. | |
252b5132 | 10 | |
ec2655a6 NC |
11 | GAS is distributed in the hope that it will be useful, but WITHOUT |
12 | ANY WARRANTY; without even the implied warranty of MERCHANTABILITY | |
13 | or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public | |
14 | License for more details. | |
15 | ||
16 | You should have received a copy of the GNU General Public License | |
17 | along with GAS; see the file COPYING. If not, write to the Free | |
18 | Software Foundation, 51 Franklin Street - Fifth Floor, Boston, MA | |
19 | 02110-1301, USA. */ | |
252b5132 | 20 | |
29589b0c | 21 | #include "ansidecl.h" |
252b5132 RH |
22 | #include "flonum.h" |
23 | ||
24 | /* plan for a . b => p(roduct) | |
f851444e | 25 | |
252b5132 RH |
26 | +-------+-------+-/ /-+-------+-------+ |
27 | | a | a | ... | a | a | | |
28 | | A | A-1 | | 1 | 0 | | |
29 | +-------+-------+-/ /-+-------+-------+ | |
f851444e | 30 | |
252b5132 RH |
31 | +-------+-------+-/ /-+-------+-------+ |
32 | | b | b | ... | b | b | | |
33 | | B | B-1 | | 1 | 0 | | |
34 | +-------+-------+-/ /-+-------+-------+ | |
f851444e | 35 | |
252b5132 RH |
36 | +-------+-------+-/ /-+-------+-/ /-+-------+-------+ |
37 | | p | p | ... | p | ... | p | p | | |
38 | | A+B+1| A+B | | N | | 1 | 0 | | |
39 | +-------+-------+-/ /-+-------+-/ /-+-------+-------+ | |
f851444e | 40 | |
252b5132 RH |
41 | /^\ |
42 | (carry) a .b ... | ... a .b a .b | |
43 | A B | 0 1 0 0 | |
44 | | | |
45 | ... | ... a .b | |
46 | | 1 0 | |
47 | | | |
48 | | ... | |
49 | | | |
50 | | | |
51 | | | |
52 | | ___ | |
53 | | \ | |
54 | +----- P = > a .b | |
55 | N /__ i j | |
f851444e | 56 | |
252b5132 | 57 | N = 0 ... A+B |
f851444e | 58 | |
252b5132 RH |
59 | for all i,j where i+j=N |
60 | [i,j integers > 0] | |
f851444e | 61 | |
252b5132 RH |
62 | a[], b[], p[] may not intersect. |
63 | Zero length factors signify 0 significant bits: treat as 0.0. | |
64 | 0.0 factors do the right thing. | |
65 | Zero length product OK. | |
f851444e | 66 | |
252b5132 RH |
67 | I chose the ForTran accent "foo[bar]" instead of the C accent "*garply" |
68 | because I felt the ForTran way was more intuitive. The C way would | |
69 | probably yield better code on most C compilers. Dean Elsner. | |
f851444e | 70 | (C style also gives deeper insight [to me] ... oh well ...) */ |
252b5132 | 71 | \f |
f851444e | 72 | void |
dd625418 KH |
73 | flonum_multip (const FLONUM_TYPE *a, const FLONUM_TYPE *b, |
74 | FLONUM_TYPE *product) | |
252b5132 | 75 | { |
f851444e NC |
76 | int size_of_a; /* 0 origin */ |
77 | int size_of_b; /* 0 origin */ | |
78 | int size_of_product; /* 0 origin */ | |
79 | int size_of_sum; /* 0 origin */ | |
80 | int extra_product_positions; /* 1 origin */ | |
252b5132 RH |
81 | unsigned long work; |
82 | unsigned long carry; | |
83 | long exponent; | |
84 | LITTLENUM_TYPE *q; | |
85 | long significant; /* TRUE when we emit a non-0 littlenum */ | |
f851444e NC |
86 | /* ForTran accent follows. */ |
87 | int P; /* Scan product low-order -> high. */ | |
252b5132 | 88 | int N; /* As in sum above. */ |
f851444e NC |
89 | int A; /* Which [] of a? */ |
90 | int B; /* Which [] of b? */ | |
252b5132 | 91 | |
f851444e NC |
92 | if ((a->sign != '-' && a->sign != '+') |
93 | || (b->sign != '-' && b->sign != '+')) | |
252b5132 | 94 | { |
f851444e | 95 | /* Got to fail somehow. Any suggestions? */ |
252b5132 RH |
96 | product->sign = 0; |
97 | return; | |
98 | } | |
99 | product->sign = (a->sign == b->sign) ? '+' : '-'; | |
100 | size_of_a = a->leader - a->low; | |
101 | size_of_b = b->leader - b->low; | |
102 | exponent = a->exponent + b->exponent; | |
103 | size_of_product = product->high - product->low; | |
104 | size_of_sum = size_of_a + size_of_b; | |
105 | extra_product_positions = size_of_product - size_of_sum; | |
106 | if (extra_product_positions < 0) | |
107 | { | |
f851444e NC |
108 | P = extra_product_positions; /* P < 0 */ |
109 | exponent -= extra_product_positions; /* Increases exponent. */ | |
252b5132 RH |
110 | } |
111 | else | |
112 | { | |
113 | P = 0; | |
114 | } | |
115 | carry = 0; | |
116 | significant = 0; | |
117 | for (N = 0; N <= size_of_sum; N++) | |
118 | { | |
119 | work = carry; | |
120 | carry = 0; | |
121 | for (A = 0; A <= N; A++) | |
122 | { | |
123 | B = N - A; | |
124 | if (A <= size_of_a && B <= size_of_b && B >= 0) | |
125 | { | |
126 | #ifdef TRACE | |
f851444e NC |
127 | printf ("a:low[%d.]=%04x b:low[%d.]=%04x work_before=%08x\n", |
128 | A, a->low[A], B, b->low[B], work); | |
252b5132 RH |
129 | #endif |
130 | /* Watch out for sign extension! Without the casts, on | |
131 | the DEC Alpha, the multiplication result is *signed* | |
132 | int, which gets sign-extended to convert to the | |
133 | unsigned long! */ | |
134 | work += (unsigned long) a->low[A] * (unsigned long) b->low[B]; | |
135 | carry += work >> LITTLENUM_NUMBER_OF_BITS; | |
136 | work &= LITTLENUM_MASK; | |
137 | #ifdef TRACE | |
138 | printf ("work=%08x carry=%04x\n", work, carry); | |
139 | #endif | |
140 | } | |
141 | } | |
142 | significant |= work; | |
143 | if (significant || P < 0) | |
144 | { | |
145 | if (P >= 0) | |
146 | { | |
147 | product->low[P] = work; | |
148 | #ifdef TRACE | |
149 | printf ("P=%d. work[p]:=%04x\n", P, work); | |
150 | #endif | |
151 | } | |
152 | P++; | |
153 | } | |
154 | else | |
155 | { | |
156 | extra_product_positions++; | |
157 | exponent++; | |
158 | } | |
159 | } | |
f851444e | 160 | /* [P]-> position # size_of_sum + 1. |
f0e652b4 | 161 | This is where 'carry' should go. */ |
252b5132 RH |
162 | #ifdef TRACE |
163 | printf ("final carry =%04x\n", carry); | |
164 | #endif | |
165 | if (carry) | |
166 | { | |
167 | if (extra_product_positions > 0) | |
f851444e | 168 | product->low[P] = carry; |
252b5132 RH |
169 | else |
170 | { | |
f851444e NC |
171 | /* No room at high order for carry littlenum. */ |
172 | /* Shift right 1 to make room for most significant littlenum. */ | |
252b5132 RH |
173 | exponent++; |
174 | P--; | |
175 | for (q = product->low + P; q >= product->low; q--) | |
176 | { | |
177 | work = *q; | |
178 | *q = carry; | |
179 | carry = work; | |
180 | } | |
181 | } | |
182 | } | |
183 | else | |
f851444e | 184 | P--; |
252b5132 RH |
185 | product->leader = product->low + P; |
186 | product->exponent = exponent; | |
187 | } |