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927e704e AI |
1 | /* |
2 | * Copyright 2017-2018 The OpenSSL Project Authors. All Rights Reserved. | |
3 | * Copyright 2014 Cryptography Research, Inc. | |
4 | * | |
5 | * Licensed under the OpenSSL license (the "License"). You may not use | |
6 | * this file except in compliance with the License. You can obtain a copy | |
7 | * in the file LICENSE in the source distribution or at | |
8 | * https://www.openssl.org/source/license.html | |
9 | * | |
10 | * Originally written by Mike Hamburg | |
11 | */ | |
70fd5110 | 12 | |
927e704e AI |
13 | #include "field.h" |
14 | ||
70fd5110 | 15 | void gf_mul(gf_s * RESTRICT cs, const gf as, const gf bs) |
927e704e AI |
16 | { |
17 | const uint64_t *a = as->limb, *b = bs->limb; | |
18 | uint64_t *c = cs->limb; | |
70fd5110 AI |
19 | uint128_t accum0 = 0, accum1 = 0, accum2; |
20 | uint64_t mask = (1ULL << 56) - 1; | |
927e704e | 21 | uint64_t aa[4], bb[4], bbb[4]; |
eb7bcff6 | 22 | unsigned int i, j; |
927e704e AI |
23 | |
24 | for (i = 0; i < 4; i++) { | |
25 | aa[i] = a[i] + a[i + 4]; | |
26 | bb[i] = b[i] + b[i + 4]; | |
27 | bbb[i] = bb[i] + b[i + 4]; | |
28 | } | |
29 | ||
eb7bcff6 AI |
30 | for (i = 0; i < 4; i++) { |
31 | accum2 = 0; | |
927e704e | 32 | |
eb7bcff6 AI |
33 | for (j = 0; j <= i; j++) { |
34 | accum2 += widemul(a[j], b[i - j]); | |
35 | accum1 += widemul(aa[j], bb[i - j]); | |
36 | accum0 += widemul(a[j + 4], b[i - j + 4]); | |
37 | } | |
38 | for (; j < 4; j++) { | |
39 | accum2 += widemul(a[j], b[i - j + 8]); | |
40 | accum1 += widemul(aa[j], bbb[i - j + 4]); | |
41 | accum0 += widemul(a[j + 4], bb[i - j + 4]); | |
927e704e | 42 | } |
927e704e AI |
43 | |
44 | accum1 -= accum2; | |
45 | accum0 += accum2; | |
46 | ||
eb7bcff6 AI |
47 | c[i] = ((uint64_t)(accum0)) & mask; |
48 | c[i + 4] = ((uint64_t)(accum1)) & mask; | |
927e704e AI |
49 | |
50 | accum0 >>= 56; | |
51 | accum1 >>= 56; | |
eb7bcff6 | 52 | } |
927e704e AI |
53 | |
54 | accum0 += accum1; | |
55 | accum0 += c[4]; | |
56 | accum1 += c[0]; | |
57 | c[4] = ((uint64_t)(accum0)) & mask; | |
58 | c[0] = ((uint64_t)(accum1)) & mask; | |
59 | ||
60 | accum0 >>= 56; | |
61 | accum1 >>= 56; | |
62 | ||
63 | c[5] += ((uint64_t)(accum0)); | |
64 | c[1] += ((uint64_t)(accum1)); | |
65 | } | |
66 | ||
70fd5110 | 67 | void gf_mulw_unsigned(gf_s * RESTRICT cs, const gf as, uint32_t b) |
927e704e AI |
68 | { |
69 | const uint64_t *a = as->limb; | |
70 | uint64_t *c = cs->limb; | |
70fd5110 AI |
71 | uint128_t accum0 = 0, accum4 = 0; |
72 | uint64_t mask = (1ULL << 56) - 1; | |
927e704e AI |
73 | int i; |
74 | ||
75 | for (i = 0; i < 4; i++) { | |
76 | accum0 += widemul(b, a[i]); | |
77 | accum4 += widemul(b, a[i + 4]); | |
78 | c[i] = accum0 & mask; | |
79 | accum0 >>= 56; | |
80 | c[i + 4] = accum4 & mask; | |
81 | accum4 >>= 56; | |
82 | } | |
83 | ||
84 | accum0 += accum4 + c[4]; | |
85 | c[4] = accum0 & mask; | |
86 | c[5] += accum0 >> 56; | |
87 | ||
88 | accum4 += c[0]; | |
89 | c[0] = accum4 & mask; | |
90 | c[1] += accum4 >> 56; | |
91 | } | |
92 | ||
70fd5110 | 93 | void gf_sqr(gf_s * RESTRICT cs, const gf as) |
927e704e AI |
94 | { |
95 | const uint64_t *a = as->limb; | |
96 | uint64_t *c = cs->limb; | |
70fd5110 AI |
97 | uint128_t accum0 = 0, accum1 = 0, accum2; |
98 | uint64_t mask = (1ULL << 56) - 1; | |
927e704e | 99 | uint64_t aa[4]; |
70fd5110 | 100 | unsigned int i; |
927e704e AI |
101 | |
102 | /* For some reason clang doesn't vectorize this without prompting? */ | |
70fd5110 | 103 | for (i = 0; i < 4; i++) |
927e704e | 104 | aa[i] = a[i] + a[i + 4]; |
927e704e AI |
105 | |
106 | accum2 = widemul(a[0], a[3]); | |
107 | accum0 = widemul(aa[0], aa[3]); | |
108 | accum1 = widemul(a[4], a[7]); | |
109 | ||
110 | accum2 += widemul(a[1], a[2]); | |
111 | accum0 += widemul(aa[1], aa[2]); | |
112 | accum1 += widemul(a[5], a[6]); | |
113 | ||
114 | accum0 -= accum2; | |
115 | accum1 += accum2; | |
116 | ||
117 | c[3] = ((uint64_t)(accum1)) << 1 & mask; | |
118 | c[7] = ((uint64_t)(accum0)) << 1 & mask; | |
119 | ||
120 | accum0 >>= 55; | |
121 | accum1 >>= 55; | |
122 | ||
123 | accum0 += widemul(2 * aa[1], aa[3]); | |
124 | accum1 += widemul(2 * a[5], a[7]); | |
125 | accum0 += widemul(aa[2], aa[2]); | |
126 | accum1 += accum0; | |
127 | ||
128 | accum0 -= widemul(2 * a[1], a[3]); | |
129 | accum1 += widemul(a[6], a[6]); | |
130 | ||
131 | accum2 = widemul(a[0], a[0]); | |
132 | accum1 -= accum2; | |
133 | accum0 += accum2; | |
134 | ||
135 | accum0 -= widemul(a[2], a[2]); | |
136 | accum1 += widemul(aa[0], aa[0]); | |
137 | accum0 += widemul(a[4], a[4]); | |
138 | ||
139 | c[0] = ((uint64_t)(accum0)) & mask; | |
140 | c[4] = ((uint64_t)(accum1)) & mask; | |
141 | ||
142 | accum0 >>= 56; | |
143 | accum1 >>= 56; | |
144 | ||
145 | accum2 = widemul(2 * aa[2], aa[3]); | |
146 | accum0 -= widemul(2 * a[2], a[3]); | |
147 | accum1 += widemul(2 * a[6], a[7]); | |
148 | ||
149 | accum1 += accum2; | |
150 | accum0 += accum2; | |
151 | ||
152 | accum2 = widemul(2 * a[0], a[1]); | |
153 | accum1 += widemul(2 * aa[0], aa[1]); | |
154 | accum0 += widemul(2 * a[4], a[5]); | |
155 | ||
156 | accum1 -= accum2; | |
157 | accum0 += accum2; | |
158 | ||
159 | c[1] = ((uint64_t)(accum0)) & mask; | |
160 | c[5] = ((uint64_t)(accum1)) & mask; | |
161 | ||
162 | accum0 >>= 56; | |
163 | accum1 >>= 56; | |
164 | ||
165 | accum2 = widemul(aa[3], aa[3]); | |
166 | accum0 -= widemul(a[3], a[3]); | |
167 | accum1 += widemul(a[7], a[7]); | |
168 | ||
169 | accum1 += accum2; | |
170 | accum0 += accum2; | |
171 | ||
172 | accum2 = widemul(2 * a[0], a[2]); | |
173 | accum1 += widemul(2 * aa[0], aa[2]); | |
174 | accum0 += widemul(2 * a[4], a[6]); | |
175 | ||
176 | accum2 += widemul(a[1], a[1]); | |
177 | accum1 += widemul(aa[1], aa[1]); | |
178 | accum0 += widemul(a[5], a[5]); | |
179 | ||
180 | accum1 -= accum2; | |
181 | accum0 += accum2; | |
182 | ||
183 | c[2] = ((uint64_t)(accum0)) & mask; | |
184 | c[6] = ((uint64_t)(accum1)) & mask; | |
185 | ||
186 | accum0 >>= 56; | |
187 | accum1 >>= 56; | |
188 | ||
189 | accum0 += c[3]; | |
190 | accum1 += c[7]; | |
191 | c[3] = ((uint64_t)(accum0)) & mask; | |
192 | c[7] = ((uint64_t)(accum1)) & mask; | |
193 | ||
194 | /* we could almost stop here, but it wouldn't be stable, so... */ | |
195 | ||
196 | accum0 >>= 56; | |
197 | accum1 >>= 56; | |
198 | c[4] += ((uint64_t)(accum0)) + ((uint64_t)(accum1)); | |
199 | c[0] += ((uint64_t)(accum1)); | |
200 | } |