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code |
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1
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#include "fixedint.h" |
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2
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#include "sc.h" |
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3
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4
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79764
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static uint64_t load_3(const unsigned char *in) { |
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5
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uint64_t result; |
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6
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7
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79764
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result = (uint64_t) in[0]; |
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8
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79764
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result |= ((uint64_t) in[1]) << 8; |
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9
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79764
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result |= ((uint64_t) in[2]) << 16; |
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10
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11
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79764
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return result; |
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12
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} |
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13
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14
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89148
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static uint64_t load_4(const unsigned char *in) { |
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15
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uint64_t result; |
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16
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17
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89148
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result = (uint64_t) in[0]; |
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18
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89148
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result |= ((uint64_t) in[1]) << 8; |
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19
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89148
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result |= ((uint64_t) in[2]) << 16; |
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20
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89148
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result |= ((uint64_t) in[3]) << 24; |
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21
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22
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89148
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return result; |
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23
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} |
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24
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25
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/* |
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26
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Input: |
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27
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s[0]+256*s[1]+...+256^63*s[63] = s |
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28
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29
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Output: |
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30
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s[0]+256*s[1]+...+256^31*s[31] = s mod l |
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31
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where l = 2^252 + 27742317777372353535851937790883648493. |
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32
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Overwrites s in place. |
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33
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*/ |
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34
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35
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4692
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void sc_reduce(unsigned char *s) { |
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36
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4692
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int64_t s0 = 2097151 & load_3(s); |
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37
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4692
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int64_t s1 = 2097151 & (load_4(s + 2) >> 5); |
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38
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4692
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int64_t s2 = 2097151 & (load_3(s + 5) >> 2); |
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39
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4692
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int64_t s3 = 2097151 & (load_4(s + 7) >> 7); |
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40
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4692
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int64_t s4 = 2097151 & (load_4(s + 10) >> 4); |
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41
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4692
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int64_t s5 = 2097151 & (load_3(s + 13) >> 1); |
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42
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4692
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int64_t s6 = 2097151 & (load_4(s + 15) >> 6); |
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43
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4692
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int64_t s7 = 2097151 & (load_3(s + 18) >> 3); |
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44
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4692
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int64_t s8 = 2097151 & load_3(s + 21); |
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45
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4692
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int64_t s9 = 2097151 & (load_4(s + 23) >> 5); |
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46
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4692
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int64_t s10 = 2097151 & (load_3(s + 26) >> 2); |
|
47
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4692
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int64_t s11 = 2097151 & (load_4(s + 28) >> 7); |
|
48
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4692
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int64_t s12 = 2097151 & (load_4(s + 31) >> 4); |
|
49
|
4692
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int64_t s13 = 2097151 & (load_3(s + 34) >> 1); |
|
50
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4692
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int64_t s14 = 2097151 & (load_4(s + 36) >> 6); |
|
51
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4692
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int64_t s15 = 2097151 & (load_3(s + 39) >> 3); |
|
52
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4692
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int64_t s16 = 2097151 & load_3(s + 42); |
|
53
|
4692
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int64_t s17 = 2097151 & (load_4(s + 44) >> 5); |
|
54
|
4692
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int64_t s18 = 2097151 & (load_3(s + 47) >> 2); |
|
55
|
4692
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int64_t s19 = 2097151 & (load_4(s + 49) >> 7); |
|
56
|
4692
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int64_t s20 = 2097151 & (load_4(s + 52) >> 4); |
|
57
|
4692
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int64_t s21 = 2097151 & (load_3(s + 55) >> 1); |
|
58
|
4692
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int64_t s22 = 2097151 & (load_4(s + 57) >> 6); |
|
59
|
4692
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int64_t s23 = (load_4(s + 60) >> 3); |
|
60
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int64_t carry0; |
|
61
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int64_t carry1; |
|
62
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int64_t carry2; |
|
63
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int64_t carry3; |
|
64
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int64_t carry4; |
|
65
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int64_t carry5; |
|
66
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int64_t carry6; |
|
67
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int64_t carry7; |
|
68
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int64_t carry8; |
|
69
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int64_t carry9; |
|
70
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int64_t carry10; |
|
71
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int64_t carry11; |
|
72
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int64_t carry12; |
|
73
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int64_t carry13; |
|
74
|
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int64_t carry14; |
|
75
|
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int64_t carry15; |
|
76
|
|
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int64_t carry16; |
|
77
|
|
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|
|
78
|
4692
|
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s11 += s23 * 666643; |
|
79
|
4692
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s12 += s23 * 470296; |
|
80
|
4692
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s13 += s23 * 654183; |
|
81
|
4692
|
|
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s14 -= s23 * 997805; |
|
82
|
4692
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s15 += s23 * 136657; |
|
83
|
4692
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s16 -= s23 * 683901; |
|
84
|
4692
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s23 = 0; |
|
85
|
4692
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s10 += s22 * 666643; |
|
86
|
4692
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s11 += s22 * 470296; |
|
87
|
4692
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s12 += s22 * 654183; |
|
88
|
4692
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s13 -= s22 * 997805; |
|
89
|
4692
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s14 += s22 * 136657; |
|
90
|
4692
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s15 -= s22 * 683901; |
|
91
|
4692
|
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s22 = 0; |
|
92
|
4692
|
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s9 += s21 * 666643; |
|
93
|
4692
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s10 += s21 * 470296; |
|
94
|
4692
|
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|
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s11 += s21 * 654183; |
|
95
|
4692
|
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|
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|
s12 -= s21 * 997805; |
|
96
|
4692
|
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s13 += s21 * 136657; |
|
97
|
4692
|
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|
|
|
|
s14 -= s21 * 683901; |
|
98
|
4692
|
|
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|
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|
s21 = 0; |
|
99
|
4692
|
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|
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|
s8 += s20 * 666643; |
|
100
|
4692
|
|
|
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s9 += s20 * 470296; |
|
101
|
4692
|
|
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|
|
|
s10 += s20 * 654183; |
|
102
|
4692
|
|
|
|
|
|
s11 -= s20 * 997805; |
|
103
|
4692
|
|
|
|
|
|
s12 += s20 * 136657; |
|
104
|
4692
|
|
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|
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|
s13 -= s20 * 683901; |
|
105
|
4692
|
|
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|
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|
s20 = 0; |
|
106
|
4692
|
|
|
|
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|
s7 += s19 * 666643; |
|
107
|
4692
|
|
|
|
|
|
s8 += s19 * 470296; |
|
108
|
4692
|
|
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|
|
|
s9 += s19 * 654183; |
|
109
|
4692
|
|
|
|
|
|
s10 -= s19 * 997805; |
|
110
|
4692
|
|
|
|
|
|
s11 += s19 * 136657; |
|
111
|
4692
|
|
|
|
|
|
s12 -= s19 * 683901; |
|
112
|
4692
|
|
|
|
|
|
s19 = 0; |
|
113
|
4692
|
|
|
|
|
|
s6 += s18 * 666643; |
|
114
|
4692
|
|
|
|
|
|
s7 += s18 * 470296; |
|
115
|
4692
|
|
|
|
|
|
s8 += s18 * 654183; |
|
116
|
4692
|
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|
|
s9 -= s18 * 997805; |
|
117
|
4692
|
|
|
|
|
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s10 += s18 * 136657; |
|
118
|
4692
|
|
|
|
|
|
s11 -= s18 * 683901; |
|
119
|
4692
|
|
|
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s18 = 0; |
|
120
|
4692
|
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carry6 = (s6 + (1 << 20)) >> 21; |
|
121
|
4692
|
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s7 += carry6; |
|
122
|
4692
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|
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s6 -= carry6 << 21; |
|
123
|
4692
|
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carry8 = (s8 + (1 << 20)) >> 21; |
|
124
|
4692
|
|
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s9 += carry8; |
|
125
|
4692
|
|
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s8 -= carry8 << 21; |
|
126
|
4692
|
|
|
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|
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carry10 = (s10 + (1 << 20)) >> 21; |
|
127
|
4692
|
|
|
|
|
|
s11 += carry10; |
|
128
|
4692
|
|
|
|
|
|
s10 -= carry10 << 21; |
|
129
|
4692
|
|
|
|
|
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carry12 = (s12 + (1 << 20)) >> 21; |
|
130
|
4692
|
|
|
|
|
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s13 += carry12; |
|
131
|
4692
|
|
|
|
|
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s12 -= carry12 << 21; |
|
132
|
4692
|
|
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carry14 = (s14 + (1 << 20)) >> 21; |
|
133
|
4692
|
|
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s15 += carry14; |
|
134
|
4692
|
|
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s14 -= carry14 << 21; |
|
135
|
4692
|
|
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|
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carry16 = (s16 + (1 << 20)) >> 21; |
|
136
|
4692
|
|
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s17 += carry16; |
|
137
|
4692
|
|
|
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|
|
s16 -= carry16 << 21; |
|
138
|
4692
|
|
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|
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carry7 = (s7 + (1 << 20)) >> 21; |
|
139
|
4692
|
|
|
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|
|
s8 += carry7; |
|
140
|
4692
|
|
|
|
|
|
s7 -= carry7 << 21; |
|
141
|
4692
|
|
|
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carry9 = (s9 + (1 << 20)) >> 21; |
|
142
|
4692
|
|
|
|
|
|
s10 += carry9; |
|
143
|
4692
|
|
|
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|
s9 -= carry9 << 21; |
|
144
|
4692
|
|
|
|
|
|
carry11 = (s11 + (1 << 20)) >> 21; |
|
145
|
4692
|
|
|
|
|
|
s12 += carry11; |
|
146
|
4692
|
|
|
|
|
|
s11 -= carry11 << 21; |
|
147
|
4692
|
|
|
|
|
|
carry13 = (s13 + (1 << 20)) >> 21; |
|
148
|
4692
|
|
|
|
|
|
s14 += carry13; |
|
149
|
4692
|
|
|
|
|
|
s13 -= carry13 << 21; |
|
150
|
4692
|
|
|
|
|
|
carry15 = (s15 + (1 << 20)) >> 21; |
|
151
|
4692
|
|
|
|
|
|
s16 += carry15; |
|
152
|
4692
|
|
|
|
|
|
s15 -= carry15 << 21; |
|
153
|
4692
|
|
|
|
|
|
s5 += s17 * 666643; |
|
154
|
4692
|
|
|
|
|
|
s6 += s17 * 470296; |
|
155
|
4692
|
|
|
|
|
|
s7 += s17 * 654183; |
|
156
|
4692
|
|
|
|
|
|
s8 -= s17 * 997805; |
|
157
|
4692
|
|
|
|
|
|
s9 += s17 * 136657; |
|
158
|
4692
|
|
|
|
|
|
s10 -= s17 * 683901; |
|
159
|
4692
|
|
|
|
|
|
s17 = 0; |
|
160
|
4692
|
|
|
|
|
|
s4 += s16 * 666643; |
|
161
|
4692
|
|
|
|
|
|
s5 += s16 * 470296; |
|
162
|
4692
|
|
|
|
|
|
s6 += s16 * 654183; |
|
163
|
4692
|
|
|
|
|
|
s7 -= s16 * 997805; |
|
164
|
4692
|
|
|
|
|
|
s8 += s16 * 136657; |
|
165
|
4692
|
|
|
|
|
|
s9 -= s16 * 683901; |
|
166
|
4692
|
|
|
|
|
|
s16 = 0; |
|
167
|
4692
|
|
|
|
|
|
s3 += s15 * 666643; |
|
168
|
4692
|
|
|
|
|
|
s4 += s15 * 470296; |
|
169
|
4692
|
|
|
|
|
|
s5 += s15 * 654183; |
|
170
|
4692
|
|
|
|
|
|
s6 -= s15 * 997805; |
|
171
|
4692
|
|
|
|
|
|
s7 += s15 * 136657; |
|
172
|
4692
|
|
|
|
|
|
s8 -= s15 * 683901; |
|
173
|
4692
|
|
|
|
|
|
s15 = 0; |
|
174
|
4692
|
|
|
|
|
|
s2 += s14 * 666643; |
|
175
|
4692
|
|
|
|
|
|
s3 += s14 * 470296; |
|
176
|
4692
|
|
|
|
|
|
s4 += s14 * 654183; |
|
177
|
4692
|
|
|
|
|
|
s5 -= s14 * 997805; |
|
178
|
4692
|
|
|
|
|
|
s6 += s14 * 136657; |
|
179
|
4692
|
|
|
|
|
|
s7 -= s14 * 683901; |
|
180
|
4692
|
|
|
|
|
|
s14 = 0; |
|
181
|
4692
|
|
|
|
|
|
s1 += s13 * 666643; |
|
182
|
4692
|
|
|
|
|
|
s2 += s13 * 470296; |
|
183
|
4692
|
|
|
|
|
|
s3 += s13 * 654183; |
|
184
|
4692
|
|
|
|
|
|
s4 -= s13 * 997805; |
|
185
|
4692
|
|
|
|
|
|
s5 += s13 * 136657; |
|
186
|
4692
|
|
|
|
|
|
s6 -= s13 * 683901; |
|
187
|
4692
|
|
|
|
|
|
s13 = 0; |
|
188
|
4692
|
|
|
|
|
|
s0 += s12 * 666643; |
|
189
|
4692
|
|
|
|
|
|
s1 += s12 * 470296; |
|
190
|
4692
|
|
|
|
|
|
s2 += s12 * 654183; |
|
191
|
4692
|
|
|
|
|
|
s3 -= s12 * 997805; |
|
192
|
4692
|
|
|
|
|
|
s4 += s12 * 136657; |
|
193
|
4692
|
|
|
|
|
|
s5 -= s12 * 683901; |
|
194
|
4692
|
|
|
|
|
|
s12 = 0; |
|
195
|
4692
|
|
|
|
|
|
carry0 = (s0 + (1 << 20)) >> 21; |
|
196
|
4692
|
|
|
|
|
|
s1 += carry0; |
|
197
|
4692
|
|
|
|
|
|
s0 -= carry0 << 21; |
|
198
|
4692
|
|
|
|
|
|
carry2 = (s2 + (1 << 20)) >> 21; |
|
199
|
4692
|
|
|
|
|
|
s3 += carry2; |
|
200
|
4692
|
|
|
|
|
|
s2 -= carry2 << 21; |
|
201
|
4692
|
|
|
|
|
|
carry4 = (s4 + (1 << 20)) >> 21; |
|
202
|
4692
|
|
|
|
|
|
s5 += carry4; |
|
203
|
4692
|
|
|
|
|
|
s4 -= carry4 << 21; |
|
204
|
4692
|
|
|
|
|
|
carry6 = (s6 + (1 << 20)) >> 21; |
|
205
|
4692
|
|
|
|
|
|
s7 += carry6; |
|
206
|
4692
|
|
|
|
|
|
s6 -= carry6 << 21; |
|
207
|
4692
|
|
|
|
|
|
carry8 = (s8 + (1 << 20)) >> 21; |
|
208
|
4692
|
|
|
|
|
|
s9 += carry8; |
|
209
|
4692
|
|
|
|
|
|
s8 -= carry8 << 21; |
|
210
|
4692
|
|
|
|
|
|
carry10 = (s10 + (1 << 20)) >> 21; |
|
211
|
4692
|
|
|
|
|
|
s11 += carry10; |
|
212
|
4692
|
|
|
|
|
|
s10 -= carry10 << 21; |
|
213
|
4692
|
|
|
|
|
|
carry1 = (s1 + (1 << 20)) >> 21; |
|
214
|
4692
|
|
|
|
|
|
s2 += carry1; |
|
215
|
4692
|
|
|
|
|
|
s1 -= carry1 << 21; |
|
216
|
4692
|
|
|
|
|
|
carry3 = (s3 + (1 << 20)) >> 21; |
|
217
|
4692
|
|
|
|
|
|
s4 += carry3; |
|
218
|
4692
|
|
|
|
|
|
s3 -= carry3 << 21; |
|
219
|
4692
|
|
|
|
|
|
carry5 = (s5 + (1 << 20)) >> 21; |
|
220
|
4692
|
|
|
|
|
|
s6 += carry5; |
|
221
|
4692
|
|
|
|
|
|
s5 -= carry5 << 21; |
|
222
|
4692
|
|
|
|
|
|
carry7 = (s7 + (1 << 20)) >> 21; |
|
223
|
4692
|
|
|
|
|
|
s8 += carry7; |
|
224
|
4692
|
|
|
|
|
|
s7 -= carry7 << 21; |
|
225
|
4692
|
|
|
|
|
|
carry9 = (s9 + (1 << 20)) >> 21; |
|
226
|
4692
|
|
|
|
|
|
s10 += carry9; |
|
227
|
4692
|
|
|
|
|
|
s9 -= carry9 << 21; |
|
228
|
4692
|
|
|
|
|
|
carry11 = (s11 + (1 << 20)) >> 21; |
|
229
|
4692
|
|
|
|
|
|
s12 += carry11; |
|
230
|
4692
|
|
|
|
|
|
s11 -= carry11 << 21; |
|
231
|
4692
|
|
|
|
|
|
s0 += s12 * 666643; |
|
232
|
4692
|
|
|
|
|
|
s1 += s12 * 470296; |
|
233
|
4692
|
|
|
|
|
|
s2 += s12 * 654183; |
|
234
|
4692
|
|
|
|
|
|
s3 -= s12 * 997805; |
|
235
|
4692
|
|
|
|
|
|
s4 += s12 * 136657; |
|
236
|
4692
|
|
|
|
|
|
s5 -= s12 * 683901; |
|
237
|
4692
|
|
|
|
|
|
s12 = 0; |
|
238
|
4692
|
|
|
|
|
|
carry0 = s0 >> 21; |
|
239
|
4692
|
|
|
|
|
|
s1 += carry0; |
|
240
|
4692
|
|
|
|
|
|
s0 -= carry0 << 21; |
|
241
|
4692
|
|
|
|
|
|
carry1 = s1 >> 21; |
|
242
|
4692
|
|
|
|
|
|
s2 += carry1; |
|
243
|
4692
|
|
|
|
|
|
s1 -= carry1 << 21; |
|
244
|
4692
|
|
|
|
|
|
carry2 = s2 >> 21; |
|
245
|
4692
|
|
|
|
|
|
s3 += carry2; |
|
246
|
4692
|
|
|
|
|
|
s2 -= carry2 << 21; |
|
247
|
4692
|
|
|
|
|
|
carry3 = s3 >> 21; |
|
248
|
4692
|
|
|
|
|
|
s4 += carry3; |
|
249
|
4692
|
|
|
|
|
|
s3 -= carry3 << 21; |
|
250
|
4692
|
|
|
|
|
|
carry4 = s4 >> 21; |
|
251
|
4692
|
|
|
|
|
|
s5 += carry4; |
|
252
|
4692
|
|
|
|
|
|
s4 -= carry4 << 21; |
|
253
|
4692
|
|
|
|
|
|
carry5 = s5 >> 21; |
|
254
|
4692
|
|
|
|
|
|
s6 += carry5; |
|
255
|
4692
|
|
|
|
|
|
s5 -= carry5 << 21; |
|
256
|
4692
|
|
|
|
|
|
carry6 = s6 >> 21; |
|
257
|
4692
|
|
|
|
|
|
s7 += carry6; |
|
258
|
4692
|
|
|
|
|
|
s6 -= carry6 << 21; |
|
259
|
4692
|
|
|
|
|
|
carry7 = s7 >> 21; |
|
260
|
4692
|
|
|
|
|
|
s8 += carry7; |
|
261
|
4692
|
|
|
|
|
|
s7 -= carry7 << 21; |
|
262
|
4692
|
|
|
|
|
|
carry8 = s8 >> 21; |
|
263
|
4692
|
|
|
|
|
|
s9 += carry8; |
|
264
|
4692
|
|
|
|
|
|
s8 -= carry8 << 21; |
|
265
|
4692
|
|
|
|
|
|
carry9 = s9 >> 21; |
|
266
|
4692
|
|
|
|
|
|
s10 += carry9; |
|
267
|
4692
|
|
|
|
|
|
s9 -= carry9 << 21; |
|
268
|
4692
|
|
|
|
|
|
carry10 = s10 >> 21; |
|
269
|
4692
|
|
|
|
|
|
s11 += carry10; |
|
270
|
4692
|
|
|
|
|
|
s10 -= carry10 << 21; |
|
271
|
4692
|
|
|
|
|
|
carry11 = s11 >> 21; |
|
272
|
4692
|
|
|
|
|
|
s12 += carry11; |
|
273
|
4692
|
|
|
|
|
|
s11 -= carry11 << 21; |
|
274
|
4692
|
|
|
|
|
|
s0 += s12 * 666643; |
|
275
|
4692
|
|
|
|
|
|
s1 += s12 * 470296; |
|
276
|
4692
|
|
|
|
|
|
s2 += s12 * 654183; |
|
277
|
4692
|
|
|
|
|
|
s3 -= s12 * 997805; |
|
278
|
4692
|
|
|
|
|
|
s4 += s12 * 136657; |
|
279
|
4692
|
|
|
|
|
|
s5 -= s12 * 683901; |
|
280
|
4692
|
|
|
|
|
|
s12 = 0; |
|
281
|
4692
|
|
|
|
|
|
carry0 = s0 >> 21; |
|
282
|
4692
|
|
|
|
|
|
s1 += carry0; |
|
283
|
4692
|
|
|
|
|
|
s0 -= carry0 << 21; |
|
284
|
4692
|
|
|
|
|
|
carry1 = s1 >> 21; |
|
285
|
4692
|
|
|
|
|
|
s2 += carry1; |
|
286
|
4692
|
|
|
|
|
|
s1 -= carry1 << 21; |
|
287
|
4692
|
|
|
|
|
|
carry2 = s2 >> 21; |
|
288
|
4692
|
|
|
|
|
|
s3 += carry2; |
|
289
|
4692
|
|
|
|
|
|
s2 -= carry2 << 21; |
|
290
|
4692
|
|
|
|
|
|
carry3 = s3 >> 21; |
|
291
|
4692
|
|
|
|
|
|
s4 += carry3; |
|
292
|
4692
|
|
|
|
|
|
s3 -= carry3 << 21; |
|
293
|
4692
|
|
|
|
|
|
carry4 = s4 >> 21; |
|
294
|
4692
|
|
|
|
|
|
s5 += carry4; |
|
295
|
4692
|
|
|
|
|
|
s4 -= carry4 << 21; |
|
296
|
4692
|
|
|
|
|
|
carry5 = s5 >> 21; |
|
297
|
4692
|
|
|
|
|
|
s6 += carry5; |
|
298
|
4692
|
|
|
|
|
|
s5 -= carry5 << 21; |
|
299
|
4692
|
|
|
|
|
|
carry6 = s6 >> 21; |
|
300
|
4692
|
|
|
|
|
|
s7 += carry6; |
|
301
|
4692
|
|
|
|
|
|
s6 -= carry6 << 21; |
|
302
|
4692
|
|
|
|
|
|
carry7 = s7 >> 21; |
|
303
|
4692
|
|
|
|
|
|
s8 += carry7; |
|
304
|
4692
|
|
|
|
|
|
s7 -= carry7 << 21; |
|
305
|
4692
|
|
|
|
|
|
carry8 = s8 >> 21; |
|
306
|
4692
|
|
|
|
|
|
s9 += carry8; |
|
307
|
4692
|
|
|
|
|
|
s8 -= carry8 << 21; |
|
308
|
4692
|
|
|
|
|
|
carry9 = s9 >> 21; |
|
309
|
4692
|
|
|
|
|
|
s10 += carry9; |
|
310
|
4692
|
|
|
|
|
|
s9 -= carry9 << 21; |
|
311
|
4692
|
|
|
|
|
|
carry10 = s10 >> 21; |
|
312
|
4692
|
|
|
|
|
|
s11 += carry10; |
|
313
|
4692
|
|
|
|
|
|
s10 -= carry10 << 21; |
|
314
|
|
|
|
|
|
|
|
|
315
|
4692
|
|
|
|
|
|
s[0] = (unsigned char) (s0 >> 0); |
|
316
|
4692
|
|
|
|
|
|
s[1] = (unsigned char) (s0 >> 8); |
|
317
|
4692
|
|
|
|
|
|
s[2] = (unsigned char) ((s0 >> 16) | (s1 << 5)); |
|
318
|
4692
|
|
|
|
|
|
s[3] = (unsigned char) (s1 >> 3); |
|
319
|
4692
|
|
|
|
|
|
s[4] = (unsigned char) (s1 >> 11); |
|
320
|
4692
|
|
|
|
|
|
s[5] = (unsigned char) ((s1 >> 19) | (s2 << 2)); |
|
321
|
4692
|
|
|
|
|
|
s[6] = (unsigned char) (s2 >> 6); |
|
322
|
4692
|
|
|
|
|
|
s[7] = (unsigned char) ((s2 >> 14) | (s3 << 7)); |
|
323
|
4692
|
|
|
|
|
|
s[8] = (unsigned char) (s3 >> 1); |
|
324
|
4692
|
|
|
|
|
|
s[9] = (unsigned char) (s3 >> 9); |
|
325
|
4692
|
|
|
|
|
|
s[10] = (unsigned char) ((s3 >> 17) | (s4 << 4)); |
|
326
|
4692
|
|
|
|
|
|
s[11] = (unsigned char) (s4 >> 4); |
|
327
|
4692
|
|
|
|
|
|
s[12] = (unsigned char) (s4 >> 12); |
|
328
|
4692
|
|
|
|
|
|
s[13] = (unsigned char) ((s4 >> 20) | (s5 << 1)); |
|
329
|
4692
|
|
|
|
|
|
s[14] = (unsigned char) (s5 >> 7); |
|
330
|
4692
|
|
|
|
|
|
s[15] = (unsigned char) ((s5 >> 15) | (s6 << 6)); |
|
331
|
4692
|
|
|
|
|
|
s[16] = (unsigned char) (s6 >> 2); |
|
332
|
4692
|
|
|
|
|
|
s[17] = (unsigned char) (s6 >> 10); |
|
333
|
4692
|
|
|
|
|
|
s[18] = (unsigned char) ((s6 >> 18) | (s7 << 3)); |
|
334
|
4692
|
|
|
|
|
|
s[19] = (unsigned char) (s7 >> 5); |
|
335
|
4692
|
|
|
|
|
|
s[20] = (unsigned char) (s7 >> 13); |
|
336
|
4692
|
|
|
|
|
|
s[21] = (unsigned char) (s8 >> 0); |
|
337
|
4692
|
|
|
|
|
|
s[22] = (unsigned char) (s8 >> 8); |
|
338
|
4692
|
|
|
|
|
|
s[23] = (unsigned char) ((s8 >> 16) | (s9 << 5)); |
|
339
|
4692
|
|
|
|
|
|
s[24] = (unsigned char) (s9 >> 3); |
|
340
|
4692
|
|
|
|
|
|
s[25] = (unsigned char) (s9 >> 11); |
|
341
|
4692
|
|
|
|
|
|
s[26] = (unsigned char) ((s9 >> 19) | (s10 << 2)); |
|
342
|
4692
|
|
|
|
|
|
s[27] = (unsigned char) (s10 >> 6); |
|
343
|
4692
|
|
|
|
|
|
s[28] = (unsigned char) ((s10 >> 14) | (s11 << 7)); |
|
344
|
4692
|
|
|
|
|
|
s[29] = (unsigned char) (s11 >> 1); |
|
345
|
4692
|
|
|
|
|
|
s[30] = (unsigned char) (s11 >> 9); |
|
346
|
4692
|
|
|
|
|
|
s[31] = (unsigned char) (s11 >> 17); |
|
347
|
4692
|
|
|
|
|
|
} |
|
348
|
|
|
|
|
|
|
|
|
349
|
|
|
|
|
|
|
|
|
350
|
|
|
|
|
|
|
|
|
351
|
|
|
|
|
|
|
/* |
|
352
|
|
|
|
|
|
|
Input: |
|
353
|
|
|
|
|
|
|
a[0]+256*a[1]+...+256^31*a[31] = a |
|
354
|
|
|
|
|
|
|
b[0]+256*b[1]+...+256^31*b[31] = b |
|
355
|
|
|
|
|
|
|
c[0]+256*c[1]+...+256^31*c[31] = c |
|
356
|
|
|
|
|
|
|
|
|
357
|
|
|
|
|
|
|
Output: |
|
358
|
|
|
|
|
|
|
s[0]+256*s[1]+...+256^31*s[31] = (ab+c) mod l |
|
359
|
|
|
|
|
|
|
where l = 2^252 + 27742317777372353535851937790883648493. |
|
360
|
|
|
|
|
|
|
*/ |
|
361
|
|
|
|
|
|
|
|
|
362
|
1564
|
|
|
|
|
|
void sc_muladd(unsigned char *s, const unsigned char *a, const unsigned char *b, const unsigned char *c) { |
|
363
|
1564
|
|
|
|
|
|
int64_t a0 = 2097151 & load_3(a); |
|
364
|
1564
|
|
|
|
|
|
int64_t a1 = 2097151 & (load_4(a + 2) >> 5); |
|
365
|
1564
|
|
|
|
|
|
int64_t a2 = 2097151 & (load_3(a + 5) >> 2); |
|
366
|
1564
|
|
|
|
|
|
int64_t a3 = 2097151 & (load_4(a + 7) >> 7); |
|
367
|
1564
|
|
|
|
|
|
int64_t a4 = 2097151 & (load_4(a + 10) >> 4); |
|
368
|
1564
|
|
|
|
|
|
int64_t a5 = 2097151 & (load_3(a + 13) >> 1); |
|
369
|
1564
|
|
|
|
|
|
int64_t a6 = 2097151 & (load_4(a + 15) >> 6); |
|
370
|
1564
|
|
|
|
|
|
int64_t a7 = 2097151 & (load_3(a + 18) >> 3); |
|
371
|
1564
|
|
|
|
|
|
int64_t a8 = 2097151 & load_3(a + 21); |
|
372
|
1564
|
|
|
|
|
|
int64_t a9 = 2097151 & (load_4(a + 23) >> 5); |
|
373
|
1564
|
|
|
|
|
|
int64_t a10 = 2097151 & (load_3(a + 26) >> 2); |
|
374
|
1564
|
|
|
|
|
|
int64_t a11 = (load_4(a + 28) >> 7); |
|
375
|
1564
|
|
|
|
|
|
int64_t b0 = 2097151 & load_3(b); |
|
376
|
1564
|
|
|
|
|
|
int64_t b1 = 2097151 & (load_4(b + 2) >> 5); |
|
377
|
1564
|
|
|
|
|
|
int64_t b2 = 2097151 & (load_3(b + 5) >> 2); |
|
378
|
1564
|
|
|
|
|
|
int64_t b3 = 2097151 & (load_4(b + 7) >> 7); |
|
379
|
1564
|
|
|
|
|
|
int64_t b4 = 2097151 & (load_4(b + 10) >> 4); |
|
380
|
1564
|
|
|
|
|
|
int64_t b5 = 2097151 & (load_3(b + 13) >> 1); |
|
381
|
1564
|
|
|
|
|
|
int64_t b6 = 2097151 & (load_4(b + 15) >> 6); |
|
382
|
1564
|
|
|
|
|
|
int64_t b7 = 2097151 & (load_3(b + 18) >> 3); |
|
383
|
1564
|
|
|
|
|
|
int64_t b8 = 2097151 & load_3(b + 21); |
|
384
|
1564
|
|
|
|
|
|
int64_t b9 = 2097151 & (load_4(b + 23) >> 5); |
|
385
|
1564
|
|
|
|
|
|
int64_t b10 = 2097151 & (load_3(b + 26) >> 2); |
|
386
|
1564
|
|
|
|
|
|
int64_t b11 = (load_4(b + 28) >> 7); |
|
387
|
1564
|
|
|
|
|
|
int64_t c0 = 2097151 & load_3(c); |
|
388
|
1564
|
|
|
|
|
|
int64_t c1 = 2097151 & (load_4(c + 2) >> 5); |
|
389
|
1564
|
|
|
|
|
|
int64_t c2 = 2097151 & (load_3(c + 5) >> 2); |
|
390
|
1564
|
|
|
|
|
|
int64_t c3 = 2097151 & (load_4(c + 7) >> 7); |
|
391
|
1564
|
|
|
|
|
|
int64_t c4 = 2097151 & (load_4(c + 10) >> 4); |
|
392
|
1564
|
|
|
|
|
|
int64_t c5 = 2097151 & (load_3(c + 13) >> 1); |
|
393
|
1564
|
|
|
|
|
|
int64_t c6 = 2097151 & (load_4(c + 15) >> 6); |
|
394
|
1564
|
|
|
|
|
|
int64_t c7 = 2097151 & (load_3(c + 18) >> 3); |
|
395
|
1564
|
|
|
|
|
|
int64_t c8 = 2097151 & load_3(c + 21); |
|
396
|
1564
|
|
|
|
|
|
int64_t c9 = 2097151 & (load_4(c + 23) >> 5); |
|
397
|
1564
|
|
|
|
|
|
int64_t c10 = 2097151 & (load_3(c + 26) >> 2); |
|
398
|
1564
|
|
|
|
|
|
int64_t c11 = (load_4(c + 28) >> 7); |
|
399
|
|
|
|
|
|
|
int64_t s0; |
|
400
|
|
|
|
|
|
|
int64_t s1; |
|
401
|
|
|
|
|
|
|
int64_t s2; |
|
402
|
|
|
|
|
|
|
int64_t s3; |
|
403
|
|
|
|
|
|
|
int64_t s4; |
|
404
|
|
|
|
|
|
|
int64_t s5; |
|
405
|
|
|
|
|
|
|
int64_t s6; |
|
406
|
|
|
|
|
|
|
int64_t s7; |
|
407
|
|
|
|
|
|
|
int64_t s8; |
|
408
|
|
|
|
|
|
|
int64_t s9; |
|
409
|
|
|
|
|
|
|
int64_t s10; |
|
410
|
|
|
|
|
|
|
int64_t s11; |
|
411
|
|
|
|
|
|
|
int64_t s12; |
|
412
|
|
|
|
|
|
|
int64_t s13; |
|
413
|
|
|
|
|
|
|
int64_t s14; |
|
414
|
|
|
|
|
|
|
int64_t s15; |
|
415
|
|
|
|
|
|
|
int64_t s16; |
|
416
|
|
|
|
|
|
|
int64_t s17; |
|
417
|
|
|
|
|
|
|
int64_t s18; |
|
418
|
|
|
|
|
|
|
int64_t s19; |
|
419
|
|
|
|
|
|
|
int64_t s20; |
|
420
|
|
|
|
|
|
|
int64_t s21; |
|
421
|
|
|
|
|
|
|
int64_t s22; |
|
422
|
|
|
|
|
|
|
int64_t s23; |
|
423
|
|
|
|
|
|
|
int64_t carry0; |
|
424
|
|
|
|
|
|
|
int64_t carry1; |
|
425
|
|
|
|
|
|
|
int64_t carry2; |
|
426
|
|
|
|
|
|
|
int64_t carry3; |
|
427
|
|
|
|
|
|
|
int64_t carry4; |
|
428
|
|
|
|
|
|
|
int64_t carry5; |
|
429
|
|
|
|
|
|
|
int64_t carry6; |
|
430
|
|
|
|
|
|
|
int64_t carry7; |
|
431
|
|
|
|
|
|
|
int64_t carry8; |
|
432
|
|
|
|
|
|
|
int64_t carry9; |
|
433
|
|
|
|
|
|
|
int64_t carry10; |
|
434
|
|
|
|
|
|
|
int64_t carry11; |
|
435
|
|
|
|
|
|
|
int64_t carry12; |
|
436
|
|
|
|
|
|
|
int64_t carry13; |
|
437
|
|
|
|
|
|
|
int64_t carry14; |
|
438
|
|
|
|
|
|
|
int64_t carry15; |
|
439
|
|
|
|
|
|
|
int64_t carry16; |
|
440
|
|
|
|
|
|
|
int64_t carry17; |
|
441
|
|
|
|
|
|
|
int64_t carry18; |
|
442
|
|
|
|
|
|
|
int64_t carry19; |
|
443
|
|
|
|
|
|
|
int64_t carry20; |
|
444
|
|
|
|
|
|
|
int64_t carry21; |
|
445
|
|
|
|
|
|
|
int64_t carry22; |
|
446
|
|
|
|
|
|
|
|
|
447
|
1564
|
|
|
|
|
|
s0 = c0 + a0 * b0; |
|
448
|
1564
|
|
|
|
|
|
s1 = c1 + a0 * b1 + a1 * b0; |
|
449
|
1564
|
|
|
|
|
|
s2 = c2 + a0 * b2 + a1 * b1 + a2 * b0; |
|
450
|
1564
|
|
|
|
|
|
s3 = c3 + a0 * b3 + a1 * b2 + a2 * b1 + a3 * b0; |
|
451
|
1564
|
|
|
|
|
|
s4 = c4 + a0 * b4 + a1 * b3 + a2 * b2 + a3 * b1 + a4 * b0; |
|
452
|
1564
|
|
|
|
|
|
s5 = c5 + a0 * b5 + a1 * b4 + a2 * b3 + a3 * b2 + a4 * b1 + a5 * b0; |
|
453
|
1564
|
|
|
|
|
|
s6 = c6 + a0 * b6 + a1 * b5 + a2 * b4 + a3 * b3 + a4 * b2 + a5 * b1 + a6 * b0; |
|
454
|
1564
|
|
|
|
|
|
s7 = c7 + a0 * b7 + a1 * b6 + a2 * b5 + a3 * b4 + a4 * b3 + a5 * b2 + a6 * b1 + a7 * b0; |
|
455
|
1564
|
|
|
|
|
|
s8 = c8 + a0 * b8 + a1 * b7 + a2 * b6 + a3 * b5 + a4 * b4 + a5 * b3 + a6 * b2 + a7 * b1 + a8 * b0; |
|
456
|
1564
|
|
|
|
|
|
s9 = c9 + a0 * b9 + a1 * b8 + a2 * b7 + a3 * b6 + a4 * b5 + a5 * b4 + a6 * b3 + a7 * b2 + a8 * b1 + a9 * b0; |
|
457
|
1564
|
|
|
|
|
|
s10 = c10 + a0 * b10 + a1 * b9 + a2 * b8 + a3 * b7 + a4 * b6 + a5 * b5 + a6 * b4 + a7 * b3 + a8 * b2 + a9 * b1 + a10 * b0; |
|
458
|
1564
|
|
|
|
|
|
s11 = c11 + a0 * b11 + a1 * b10 + a2 * b9 + a3 * b8 + a4 * b7 + a5 * b6 + a6 * b5 + a7 * b4 + a8 * b3 + a9 * b2 + a10 * b1 + a11 * b0; |
|
459
|
1564
|
|
|
|
|
|
s12 = a1 * b11 + a2 * b10 + a3 * b9 + a4 * b8 + a5 * b7 + a6 * b6 + a7 * b5 + a8 * b4 + a9 * b3 + a10 * b2 + a11 * b1; |
|
460
|
1564
|
|
|
|
|
|
s13 = a2 * b11 + a3 * b10 + a4 * b9 + a5 * b8 + a6 * b7 + a7 * b6 + a8 * b5 + a9 * b4 + a10 * b3 + a11 * b2; |
|
461
|
1564
|
|
|
|
|
|
s14 = a3 * b11 + a4 * b10 + a5 * b9 + a6 * b8 + a7 * b7 + a8 * b6 + a9 * b5 + a10 * b4 + a11 * b3; |
|
462
|
1564
|
|
|
|
|
|
s15 = a4 * b11 + a5 * b10 + a6 * b9 + a7 * b8 + a8 * b7 + a9 * b6 + a10 * b5 + a11 * b4; |
|
463
|
1564
|
|
|
|
|
|
s16 = a5 * b11 + a6 * b10 + a7 * b9 + a8 * b8 + a9 * b7 + a10 * b6 + a11 * b5; |
|
464
|
1564
|
|
|
|
|
|
s17 = a6 * b11 + a7 * b10 + a8 * b9 + a9 * b8 + a10 * b7 + a11 * b6; |
|
465
|
1564
|
|
|
|
|
|
s18 = a7 * b11 + a8 * b10 + a9 * b9 + a10 * b8 + a11 * b7; |
|
466
|
1564
|
|
|
|
|
|
s19 = a8 * b11 + a9 * b10 + a10 * b9 + a11 * b8; |
|
467
|
1564
|
|
|
|
|
|
s20 = a9 * b11 + a10 * b10 + a11 * b9; |
|
468
|
1564
|
|
|
|
|
|
s21 = a10 * b11 + a11 * b10; |
|
469
|
1564
|
|
|
|
|
|
s22 = a11 * b11; |
|
470
|
1564
|
|
|
|
|
|
s23 = 0; |
|
471
|
1564
|
|
|
|
|
|
carry0 = (s0 + (1 << 20)) >> 21; |
|
472
|
1564
|
|
|
|
|
|
s1 += carry0; |
|
473
|
1564
|
|
|
|
|
|
s0 -= carry0 << 21; |
|
474
|
1564
|
|
|
|
|
|
carry2 = (s2 + (1 << 20)) >> 21; |
|
475
|
1564
|
|
|
|
|
|
s3 += carry2; |
|
476
|
1564
|
|
|
|
|
|
s2 -= carry2 << 21; |
|
477
|
1564
|
|
|
|
|
|
carry4 = (s4 + (1 << 20)) >> 21; |
|
478
|
1564
|
|
|
|
|
|
s5 += carry4; |
|
479
|
1564
|
|
|
|
|
|
s4 -= carry4 << 21; |
|
480
|
1564
|
|
|
|
|
|
carry6 = (s6 + (1 << 20)) >> 21; |
|
481
|
1564
|
|
|
|
|
|
s7 += carry6; |
|
482
|
1564
|
|
|
|
|
|
s6 -= carry6 << 21; |
|
483
|
1564
|
|
|
|
|
|
carry8 = (s8 + (1 << 20)) >> 21; |
|
484
|
1564
|
|
|
|
|
|
s9 += carry8; |
|
485
|
1564
|
|
|
|
|
|
s8 -= carry8 << 21; |
|
486
|
1564
|
|
|
|
|
|
carry10 = (s10 + (1 << 20)) >> 21; |
|
487
|
1564
|
|
|
|
|
|
s11 += carry10; |
|
488
|
1564
|
|
|
|
|
|
s10 -= carry10 << 21; |
|
489
|
1564
|
|
|
|
|
|
carry12 = (s12 + (1 << 20)) >> 21; |
|
490
|
1564
|
|
|
|
|
|
s13 += carry12; |
|
491
|
1564
|
|
|
|
|
|
s12 -= carry12 << 21; |
|
492
|
1564
|
|
|
|
|
|
carry14 = (s14 + (1 << 20)) >> 21; |
|
493
|
1564
|
|
|
|
|
|
s15 += carry14; |
|
494
|
1564
|
|
|
|
|
|
s14 -= carry14 << 21; |
|
495
|
1564
|
|
|
|
|
|
carry16 = (s16 + (1 << 20)) >> 21; |
|
496
|
1564
|
|
|
|
|
|
s17 += carry16; |
|
497
|
1564
|
|
|
|
|
|
s16 -= carry16 << 21; |
|
498
|
1564
|
|
|
|
|
|
carry18 = (s18 + (1 << 20)) >> 21; |
|
499
|
1564
|
|
|
|
|
|
s19 += carry18; |
|
500
|
1564
|
|
|
|
|
|
s18 -= carry18 << 21; |
|
501
|
1564
|
|
|
|
|
|
carry20 = (s20 + (1 << 20)) >> 21; |
|
502
|
1564
|
|
|
|
|
|
s21 += carry20; |
|
503
|
1564
|
|
|
|
|
|
s20 -= carry20 << 21; |
|
504
|
1564
|
|
|
|
|
|
carry22 = (s22 + (1 << 20)) >> 21; |
|
505
|
1564
|
|
|
|
|
|
s23 += carry22; |
|
506
|
1564
|
|
|
|
|
|
s22 -= carry22 << 21; |
|
507
|
1564
|
|
|
|
|
|
carry1 = (s1 + (1 << 20)) >> 21; |
|
508
|
1564
|
|
|
|
|
|
s2 += carry1; |
|
509
|
1564
|
|
|
|
|
|
s1 -= carry1 << 21; |
|
510
|
1564
|
|
|
|
|
|
carry3 = (s3 + (1 << 20)) >> 21; |
|
511
|
1564
|
|
|
|
|
|
s4 += carry3; |
|
512
|
1564
|
|
|
|
|
|
s3 -= carry3 << 21; |
|
513
|
1564
|
|
|
|
|
|
carry5 = (s5 + (1 << 20)) >> 21; |
|
514
|
1564
|
|
|
|
|
|
s6 += carry5; |
|
515
|
1564
|
|
|
|
|
|
s5 -= carry5 << 21; |
|
516
|
1564
|
|
|
|
|
|
carry7 = (s7 + (1 << 20)) >> 21; |
|
517
|
1564
|
|
|
|
|
|
s8 += carry7; |
|
518
|
1564
|
|
|
|
|
|
s7 -= carry7 << 21; |
|
519
|
1564
|
|
|
|
|
|
carry9 = (s9 + (1 << 20)) >> 21; |
|
520
|
1564
|
|
|
|
|
|
s10 += carry9; |
|
521
|
1564
|
|
|
|
|
|
s9 -= carry9 << 21; |
|
522
|
1564
|
|
|
|
|
|
carry11 = (s11 + (1 << 20)) >> 21; |
|
523
|
1564
|
|
|
|
|
|
s12 += carry11; |
|
524
|
1564
|
|
|
|
|
|
s11 -= carry11 << 21; |
|
525
|
1564
|
|
|
|
|
|
carry13 = (s13 + (1 << 20)) >> 21; |
|
526
|
1564
|
|
|
|
|
|
s14 += carry13; |
|
527
|
1564
|
|
|
|
|
|
s13 -= carry13 << 21; |
|
528
|
1564
|
|
|
|
|
|
carry15 = (s15 + (1 << 20)) >> 21; |
|
529
|
1564
|
|
|
|
|
|
s16 += carry15; |
|
530
|
1564
|
|
|
|
|
|
s15 -= carry15 << 21; |
|
531
|
1564
|
|
|
|
|
|
carry17 = (s17 + (1 << 20)) >> 21; |
|
532
|
1564
|
|
|
|
|
|
s18 += carry17; |
|
533
|
1564
|
|
|
|
|
|
s17 -= carry17 << 21; |
|
534
|
1564
|
|
|
|
|
|
carry19 = (s19 + (1 << 20)) >> 21; |
|
535
|
1564
|
|
|
|
|
|
s20 += carry19; |
|
536
|
1564
|
|
|
|
|
|
s19 -= carry19 << 21; |
|
537
|
1564
|
|
|
|
|
|
carry21 = (s21 + (1 << 20)) >> 21; |
|
538
|
1564
|
|
|
|
|
|
s22 += carry21; |
|
539
|
1564
|
|
|
|
|
|
s21 -= carry21 << 21; |
|
540
|
1564
|
|
|
|
|
|
s11 += s23 * 666643; |
|
541
|
1564
|
|
|
|
|
|
s12 += s23 * 470296; |
|
542
|
1564
|
|
|
|
|
|
s13 += s23 * 654183; |
|
543
|
1564
|
|
|
|
|
|
s14 -= s23 * 997805; |
|
544
|
1564
|
|
|
|
|
|
s15 += s23 * 136657; |
|
545
|
1564
|
|
|
|
|
|
s16 -= s23 * 683901; |
|
546
|
1564
|
|
|
|
|
|
s23 = 0; |
|
547
|
1564
|
|
|
|
|
|
s10 += s22 * 666643; |
|
548
|
1564
|
|
|
|
|
|
s11 += s22 * 470296; |
|
549
|
1564
|
|
|
|
|
|
s12 += s22 * 654183; |
|
550
|
1564
|
|
|
|
|
|
s13 -= s22 * 997805; |
|
551
|
1564
|
|
|
|
|
|
s14 += s22 * 136657; |
|
552
|
1564
|
|
|
|
|
|
s15 -= s22 * 683901; |
|
553
|
1564
|
|
|
|
|
|
s22 = 0; |
|
554
|
1564
|
|
|
|
|
|
s9 += s21 * 666643; |
|
555
|
1564
|
|
|
|
|
|
s10 += s21 * 470296; |
|
556
|
1564
|
|
|
|
|
|
s11 += s21 * 654183; |
|
557
|
1564
|
|
|
|
|
|
s12 -= s21 * 997805; |
|
558
|
1564
|
|
|
|
|
|
s13 += s21 * 136657; |
|
559
|
1564
|
|
|
|
|
|
s14 -= s21 * 683901; |
|
560
|
1564
|
|
|
|
|
|
s21 = 0; |
|
561
|
1564
|
|
|
|
|
|
s8 += s20 * 666643; |
|
562
|
1564
|
|
|
|
|
|
s9 += s20 * 470296; |
|
563
|
1564
|
|
|
|
|
|
s10 += s20 * 654183; |
|
564
|
1564
|
|
|
|
|
|
s11 -= s20 * 997805; |
|
565
|
1564
|
|
|
|
|
|
s12 += s20 * 136657; |
|
566
|
1564
|
|
|
|
|
|
s13 -= s20 * 683901; |
|
567
|
1564
|
|
|
|
|
|
s20 = 0; |
|
568
|
1564
|
|
|
|
|
|
s7 += s19 * 666643; |
|
569
|
1564
|
|
|
|
|
|
s8 += s19 * 470296; |
|
570
|
1564
|
|
|
|
|
|
s9 += s19 * 654183; |
|
571
|
1564
|
|
|
|
|
|
s10 -= s19 * 997805; |
|
572
|
1564
|
|
|
|
|
|
s11 += s19 * 136657; |
|
573
|
1564
|
|
|
|
|
|
s12 -= s19 * 683901; |
|
574
|
1564
|
|
|
|
|
|
s19 = 0; |
|
575
|
1564
|
|
|
|
|
|
s6 += s18 * 666643; |
|
576
|
1564
|
|
|
|
|
|
s7 += s18 * 470296; |
|
577
|
1564
|
|
|
|
|
|
s8 += s18 * 654183; |
|
578
|
1564
|
|
|
|
|
|
s9 -= s18 * 997805; |
|
579
|
1564
|
|
|
|
|
|
s10 += s18 * 136657; |
|
580
|
1564
|
|
|
|
|
|
s11 -= s18 * 683901; |
|
581
|
1564
|
|
|
|
|
|
s18 = 0; |
|
582
|
1564
|
|
|
|
|
|
carry6 = (s6 + (1 << 20)) >> 21; |
|
583
|
1564
|
|
|
|
|
|
s7 += carry6; |
|
584
|
1564
|
|
|
|
|
|
s6 -= carry6 << 21; |
|
585
|
1564
|
|
|
|
|
|
carry8 = (s8 + (1 << 20)) >> 21; |
|
586
|
1564
|
|
|
|
|
|
s9 += carry8; |
|
587
|
1564
|
|
|
|
|
|
s8 -= carry8 << 21; |
|
588
|
1564
|
|
|
|
|
|
carry10 = (s10 + (1 << 20)) >> 21; |
|
589
|
1564
|
|
|
|
|
|
s11 += carry10; |
|
590
|
1564
|
|
|
|
|
|
s10 -= carry10 << 21; |
|
591
|
1564
|
|
|
|
|
|
carry12 = (s12 + (1 << 20)) >> 21; |
|
592
|
1564
|
|
|
|
|
|
s13 += carry12; |
|
593
|
1564
|
|
|
|
|
|
s12 -= carry12 << 21; |
|
594
|
1564
|
|
|
|
|
|
carry14 = (s14 + (1 << 20)) >> 21; |
|
595
|
1564
|
|
|
|
|
|
s15 += carry14; |
|
596
|
1564
|
|
|
|
|
|
s14 -= carry14 << 21; |
|
597
|
1564
|
|
|
|
|
|
carry16 = (s16 + (1 << 20)) >> 21; |
|
598
|
1564
|
|
|
|
|
|
s17 += carry16; |
|
599
|
1564
|
|
|
|
|
|
s16 -= carry16 << 21; |
|
600
|
1564
|
|
|
|
|
|
carry7 = (s7 + (1 << 20)) >> 21; |
|
601
|
1564
|
|
|
|
|
|
s8 += carry7; |
|
602
|
1564
|
|
|
|
|
|
s7 -= carry7 << 21; |
|
603
|
1564
|
|
|
|
|
|
carry9 = (s9 + (1 << 20)) >> 21; |
|
604
|
1564
|
|
|
|
|
|
s10 += carry9; |
|
605
|
1564
|
|
|
|
|
|
s9 -= carry9 << 21; |
|
606
|
1564
|
|
|
|
|
|
carry11 = (s11 + (1 << 20)) >> 21; |
|
607
|
1564
|
|
|
|
|
|
s12 += carry11; |
|
608
|
1564
|
|
|
|
|
|
s11 -= carry11 << 21; |
|
609
|
1564
|
|
|
|
|
|
carry13 = (s13 + (1 << 20)) >> 21; |
|
610
|
1564
|
|
|
|
|
|
s14 += carry13; |
|
611
|
1564
|
|
|
|
|
|
s13 -= carry13 << 21; |
|
612
|
1564
|
|
|
|
|
|
carry15 = (s15 + (1 << 20)) >> 21; |
|
613
|
1564
|
|
|
|
|
|
s16 += carry15; |
|
614
|
1564
|
|
|
|
|
|
s15 -= carry15 << 21; |
|
615
|
1564
|
|
|
|
|
|
s5 += s17 * 666643; |
|
616
|
1564
|
|
|
|
|
|
s6 += s17 * 470296; |
|
617
|
1564
|
|
|
|
|
|
s7 += s17 * 654183; |
|
618
|
1564
|
|
|
|
|
|
s8 -= s17 * 997805; |
|
619
|
1564
|
|
|
|
|
|
s9 += s17 * 136657; |
|
620
|
1564
|
|
|
|
|
|
s10 -= s17 * 683901; |
|
621
|
1564
|
|
|
|
|
|
s17 = 0; |
|
622
|
1564
|
|
|
|
|
|
s4 += s16 * 666643; |
|
623
|
1564
|
|
|
|
|
|
s5 += s16 * 470296; |
|
624
|
1564
|
|
|
|
|
|
s6 += s16 * 654183; |
|
625
|
1564
|
|
|
|
|
|
s7 -= s16 * 997805; |
|
626
|
1564
|
|
|
|
|
|
s8 += s16 * 136657; |
|
627
|
1564
|
|
|
|
|
|
s9 -= s16 * 683901; |
|
628
|
1564
|
|
|
|
|
|
s16 = 0; |
|
629
|
1564
|
|
|
|
|
|
s3 += s15 * 666643; |
|
630
|
1564
|
|
|
|
|
|
s4 += s15 * 470296; |
|
631
|
1564
|
|
|
|
|
|
s5 += s15 * 654183; |
|
632
|
1564
|
|
|
|
|
|
s6 -= s15 * 997805; |
|
633
|
1564
|
|
|
|
|
|
s7 += s15 * 136657; |
|
634
|
1564
|
|
|
|
|
|
s8 -= s15 * 683901; |
|
635
|
1564
|
|
|
|
|
|
s15 = 0; |
|
636
|
1564
|
|
|
|
|
|
s2 += s14 * 666643; |
|
637
|
1564
|
|
|
|
|
|
s3 += s14 * 470296; |
|
638
|
1564
|
|
|
|
|
|
s4 += s14 * 654183; |
|
639
|
1564
|
|
|
|
|
|
s5 -= s14 * 997805; |
|
640
|
1564
|
|
|
|
|
|
s6 += s14 * 136657; |
|
641
|
1564
|
|
|
|
|
|
s7 -= s14 * 683901; |
|
642
|
1564
|
|
|
|
|
|
s14 = 0; |
|
643
|
1564
|
|
|
|
|
|
s1 += s13 * 666643; |
|
644
|
1564
|
|
|
|
|
|
s2 += s13 * 470296; |
|
645
|
1564
|
|
|
|
|
|
s3 += s13 * 654183; |
|
646
|
1564
|
|
|
|
|
|
s4 -= s13 * 997805; |
|
647
|
1564
|
|
|
|
|
|
s5 += s13 * 136657; |
|
648
|
1564
|
|
|
|
|
|
s6 -= s13 * 683901; |
|
649
|
1564
|
|
|
|
|
|
s13 = 0; |
|
650
|
1564
|
|
|
|
|
|
s0 += s12 * 666643; |
|
651
|
1564
|
|
|
|
|
|
s1 += s12 * 470296; |
|
652
|
1564
|
|
|
|
|
|
s2 += s12 * 654183; |
|
653
|
1564
|
|
|
|
|
|
s3 -= s12 * 997805; |
|
654
|
1564
|
|
|
|
|
|
s4 += s12 * 136657; |
|
655
|
1564
|
|
|
|
|
|
s5 -= s12 * 683901; |
|
656
|
1564
|
|
|
|
|
|
s12 = 0; |
|
657
|
1564
|
|
|
|
|
|
carry0 = (s0 + (1 << 20)) >> 21; |
|
658
|
1564
|
|
|
|
|
|
s1 += carry0; |
|
659
|
1564
|
|
|
|
|
|
s0 -= carry0 << 21; |
|
660
|
1564
|
|
|
|
|
|
carry2 = (s2 + (1 << 20)) >> 21; |
|
661
|
1564
|
|
|
|
|
|
s3 += carry2; |
|
662
|
1564
|
|
|
|
|
|
s2 -= carry2 << 21; |
|
663
|
1564
|
|
|
|
|
|
carry4 = (s4 + (1 << 20)) >> 21; |
|
664
|
1564
|
|
|
|
|
|
s5 += carry4; |
|
665
|
1564
|
|
|
|
|
|
s4 -= carry4 << 21; |
|
666
|
1564
|
|
|
|
|
|
carry6 = (s6 + (1 << 20)) >> 21; |
|
667
|
1564
|
|
|
|
|
|
s7 += carry6; |
|
668
|
1564
|
|
|
|
|
|
s6 -= carry6 << 21; |
|
669
|
1564
|
|
|
|
|
|
carry8 = (s8 + (1 << 20)) >> 21; |
|
670
|
1564
|
|
|
|
|
|
s9 += carry8; |
|
671
|
1564
|
|
|
|
|
|
s8 -= carry8 << 21; |
|
672
|
1564
|
|
|
|
|
|
carry10 = (s10 + (1 << 20)) >> 21; |
|
673
|
1564
|
|
|
|
|
|
s11 += carry10; |
|
674
|
1564
|
|
|
|
|
|
s10 -= carry10 << 21; |
|
675
|
1564
|
|
|
|
|
|
carry1 = (s1 + (1 << 20)) >> 21; |
|
676
|
1564
|
|
|
|
|
|
s2 += carry1; |
|
677
|
1564
|
|
|
|
|
|
s1 -= carry1 << 21; |
|
678
|
1564
|
|
|
|
|
|
carry3 = (s3 + (1 << 20)) >> 21; |
|
679
|
1564
|
|
|
|
|
|
s4 += carry3; |
|
680
|
1564
|
|
|
|
|
|
s3 -= carry3 << 21; |
|
681
|
1564
|
|
|
|
|
|
carry5 = (s5 + (1 << 20)) >> 21; |
|
682
|
1564
|
|
|
|
|
|
s6 += carry5; |
|
683
|
1564
|
|
|
|
|
|
s5 -= carry5 << 21; |
|
684
|
1564
|
|
|
|
|
|
carry7 = (s7 + (1 << 20)) >> 21; |
|
685
|
1564
|
|
|
|
|
|
s8 += carry7; |
|
686
|
1564
|
|
|
|
|
|
s7 -= carry7 << 21; |
|
687
|
1564
|
|
|
|
|
|
carry9 = (s9 + (1 << 20)) >> 21; |
|
688
|
1564
|
|
|
|
|
|
s10 += carry9; |
|
689
|
1564
|
|
|
|
|
|
s9 -= carry9 << 21; |
|
690
|
1564
|
|
|
|
|
|
carry11 = (s11 + (1 << 20)) >> 21; |
|
691
|
1564
|
|
|
|
|
|
s12 += carry11; |
|
692
|
1564
|
|
|
|
|
|
s11 -= carry11 << 21; |
|
693
|
1564
|
|
|
|
|
|
s0 += s12 * 666643; |
|
694
|
1564
|
|
|
|
|
|
s1 += s12 * 470296; |
|
695
|
1564
|
|
|
|
|
|
s2 += s12 * 654183; |
|
696
|
1564
|
|
|
|
|
|
s3 -= s12 * 997805; |
|
697
|
1564
|
|
|
|
|
|
s4 += s12 * 136657; |
|
698
|
1564
|
|
|
|
|
|
s5 -= s12 * 683901; |
|
699
|
1564
|
|
|
|
|
|
s12 = 0; |
|
700
|
1564
|
|
|
|
|
|
carry0 = s0 >> 21; |
|
701
|
1564
|
|
|
|
|
|
s1 += carry0; |
|
702
|
1564
|
|
|
|
|
|
s0 -= carry0 << 21; |
|
703
|
1564
|
|
|
|
|
|
carry1 = s1 >> 21; |
|
704
|
1564
|
|
|
|
|
|
s2 += carry1; |
|
705
|
1564
|
|
|
|
|
|
s1 -= carry1 << 21; |
|
706
|
1564
|
|
|
|
|
|
carry2 = s2 >> 21; |
|
707
|
1564
|
|
|
|
|
|
s3 += carry2; |
|
708
|
1564
|
|
|
|
|
|
s2 -= carry2 << 21; |
|
709
|
1564
|
|
|
|
|
|
carry3 = s3 >> 21; |
|
710
|
1564
|
|
|
|
|
|
s4 += carry3; |
|
711
|
1564
|
|
|
|
|
|
s3 -= carry3 << 21; |
|
712
|
1564
|
|
|
|
|
|
carry4 = s4 >> 21; |
|
713
|
1564
|
|
|
|
|
|
s5 += carry4; |
|
714
|
1564
|
|
|
|
|
|
s4 -= carry4 << 21; |
|
715
|
1564
|
|
|
|
|
|
carry5 = s5 >> 21; |
|
716
|
1564
|
|
|
|
|
|
s6 += carry5; |
|
717
|
1564
|
|
|
|
|
|
s5 -= carry5 << 21; |
|
718
|
1564
|
|
|
|
|
|
carry6 = s6 >> 21; |
|
719
|
1564
|
|
|
|
|
|
s7 += carry6; |
|
720
|
1564
|
|
|
|
|
|
s6 -= carry6 << 21; |
|
721
|
1564
|
|
|
|
|
|
carry7 = s7 >> 21; |
|
722
|
1564
|
|
|
|
|
|
s8 += carry7; |
|
723
|
1564
|
|
|
|
|
|
s7 -= carry7 << 21; |
|
724
|
1564
|
|
|
|
|
|
carry8 = s8 >> 21; |
|
725
|
1564
|
|
|
|
|
|
s9 += carry8; |
|
726
|
1564
|
|
|
|
|
|
s8 -= carry8 << 21; |
|
727
|
1564
|
|
|
|
|
|
carry9 = s9 >> 21; |
|
728
|
1564
|
|
|
|
|
|
s10 += carry9; |
|
729
|
1564
|
|
|
|
|
|
s9 -= carry9 << 21; |
|
730
|
1564
|
|
|
|
|
|
carry10 = s10 >> 21; |
|
731
|
1564
|
|
|
|
|
|
s11 += carry10; |
|
732
|
1564
|
|
|
|
|
|
s10 -= carry10 << 21; |
|
733
|
1564
|
|
|
|
|
|
carry11 = s11 >> 21; |
|
734
|
1564
|
|
|
|
|
|
s12 += carry11; |
|
735
|
1564
|
|
|
|
|
|
s11 -= carry11 << 21; |
|
736
|
1564
|
|
|
|
|
|
s0 += s12 * 666643; |
|
737
|
1564
|
|
|
|
|
|
s1 += s12 * 470296; |
|
738
|
1564
|
|
|
|
|
|
s2 += s12 * 654183; |
|
739
|
1564
|
|
|
|
|
|
s3 -= s12 * 997805; |
|
740
|
1564
|
|
|
|
|
|
s4 += s12 * 136657; |
|
741
|
1564
|
|
|
|
|
|
s5 -= s12 * 683901; |
|
742
|
1564
|
|
|
|
|
|
s12 = 0; |
|
743
|
1564
|
|
|
|
|
|
carry0 = s0 >> 21; |
|
744
|
1564
|
|
|
|
|
|
s1 += carry0; |
|
745
|
1564
|
|
|
|
|
|
s0 -= carry0 << 21; |
|
746
|
1564
|
|
|
|
|
|
carry1 = s1 >> 21; |
|
747
|
1564
|
|
|
|
|
|
s2 += carry1; |
|
748
|
1564
|
|
|
|
|
|
s1 -= carry1 << 21; |
|
749
|
1564
|
|
|
|
|
|
carry2 = s2 >> 21; |
|
750
|
1564
|
|
|
|
|
|
s3 += carry2; |
|
751
|
1564
|
|
|
|
|
|
s2 -= carry2 << 21; |
|
752
|
1564
|
|
|
|
|
|
carry3 = s3 >> 21; |
|
753
|
1564
|
|
|
|
|
|
s4 += carry3; |
|
754
|
1564
|
|
|
|
|
|
s3 -= carry3 << 21; |
|
755
|
1564
|
|
|
|
|
|
carry4 = s4 >> 21; |
|
756
|
1564
|
|
|
|
|
|
s5 += carry4; |
|
757
|
1564
|
|
|
|
|
|
s4 -= carry4 << 21; |
|
758
|
1564
|
|
|
|
|
|
carry5 = s5 >> 21; |
|
759
|
1564
|
|
|
|
|
|
s6 += carry5; |
|
760
|
1564
|
|
|
|
|
|
s5 -= carry5 << 21; |
|
761
|
1564
|
|
|
|
|
|
carry6 = s6 >> 21; |
|
762
|
1564
|
|
|
|
|
|
s7 += carry6; |
|
763
|
1564
|
|
|
|
|
|
s6 -= carry6 << 21; |
|
764
|
1564
|
|
|
|
|
|
carry7 = s7 >> 21; |
|
765
|
1564
|
|
|
|
|
|
s8 += carry7; |
|
766
|
1564
|
|
|
|
|
|
s7 -= carry7 << 21; |
|
767
|
1564
|
|
|
|
|
|
carry8 = s8 >> 21; |
|
768
|
1564
|
|
|
|
|
|
s9 += carry8; |
|
769
|
1564
|
|
|
|
|
|
s8 -= carry8 << 21; |
|
770
|
1564
|
|
|
|
|
|
carry9 = s9 >> 21; |
|
771
|
1564
|
|
|
|
|
|
s10 += carry9; |
|
772
|
1564
|
|
|
|
|
|
s9 -= carry9 << 21; |
|
773
|
1564
|
|
|
|
|
|
carry10 = s10 >> 21; |
|
774
|
1564
|
|
|
|
|
|
s11 += carry10; |
|
775
|
1564
|
|
|
|
|
|
s10 -= carry10 << 21; |
|
776
|
|
|
|
|
|
|
|
|
777
|
1564
|
|
|
|
|
|
s[0] = (unsigned char) (s0 >> 0); |
|
778
|
1564
|
|
|
|
|
|
s[1] = (unsigned char) (s0 >> 8); |
|
779
|
1564
|
|
|
|
|
|
s[2] = (unsigned char) ((s0 >> 16) | (s1 << 5)); |
|
780
|
1564
|
|
|
|
|
|
s[3] = (unsigned char) (s1 >> 3); |
|
781
|
1564
|
|
|
|
|
|
s[4] = (unsigned char) (s1 >> 11); |
|
782
|
1564
|
|
|
|
|
|
s[5] = (unsigned char) ((s1 >> 19) | (s2 << 2)); |
|
783
|
1564
|
|
|
|
|
|
s[6] = (unsigned char) (s2 >> 6); |
|
784
|
1564
|
|
|
|
|
|
s[7] = (unsigned char) ((s2 >> 14) | (s3 << 7)); |
|
785
|
1564
|
|
|
|
|
|
s[8] = (unsigned char) (s3 >> 1); |
|
786
|
1564
|
|
|
|
|
|
s[9] = (unsigned char) (s3 >> 9); |
|
787
|
1564
|
|
|
|
|
|
s[10] = (unsigned char) ((s3 >> 17) | (s4 << 4)); |
|
788
|
1564
|
|
|
|
|
|
s[11] = (unsigned char) (s4 >> 4); |
|
789
|
1564
|
|
|
|
|
|
s[12] = (unsigned char) (s4 >> 12); |
|
790
|
1564
|
|
|
|
|
|
s[13] = (unsigned char) ((s4 >> 20) | (s5 << 1)); |
|
791
|
1564
|
|
|
|
|
|
s[14] = (unsigned char) (s5 >> 7); |
|
792
|
1564
|
|
|
|
|
|
s[15] = (unsigned char) ((s5 >> 15) | (s6 << 6)); |
|
793
|
1564
|
|
|
|
|
|
s[16] = (unsigned char) (s6 >> 2); |
|
794
|
1564
|
|
|
|
|
|
s[17] = (unsigned char) (s6 >> 10); |
|
795
|
1564
|
|
|
|
|
|
s[18] = (unsigned char) ((s6 >> 18) | (s7 << 3)); |
|
796
|
1564
|
|
|
|
|
|
s[19] = (unsigned char) (s7 >> 5); |
|
797
|
1564
|
|
|
|
|
|
s[20] = (unsigned char) (s7 >> 13); |
|
798
|
1564
|
|
|
|
|
|
s[21] = (unsigned char) (s8 >> 0); |
|
799
|
1564
|
|
|
|
|
|
s[22] = (unsigned char) (s8 >> 8); |
|
800
|
1564
|
|
|
|
|
|
s[23] = (unsigned char) ((s8 >> 16) | (s9 << 5)); |
|
801
|
1564
|
|
|
|
|
|
s[24] = (unsigned char) (s9 >> 3); |
|
802
|
1564
|
|
|
|
|
|
s[25] = (unsigned char) (s9 >> 11); |
|
803
|
1564
|
|
|
|
|
|
s[26] = (unsigned char) ((s9 >> 19) | (s10 << 2)); |
|
804
|
1564
|
|
|
|
|
|
s[27] = (unsigned char) (s10 >> 6); |
|
805
|
1564
|
|
|
|
|
|
s[28] = (unsigned char) ((s10 >> 14) | (s11 << 7)); |
|
806
|
1564
|
|
|
|
|
|
s[29] = (unsigned char) (s11 >> 1); |
|
807
|
1564
|
|
|
|
|
|
s[30] = (unsigned char) (s11 >> 9); |
|
808
|
1564
|
|
|
|
|
|
s[31] = (unsigned char) (s11 >> 17); |
|
809
|
1564
|
|
|
|
|
|
} |