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/* |
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* Copyright (c) 2017 Thomas Pornin |
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* |
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* Permission is hereby granted, free of charge, to any person obtaining |
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* a copy of this software and associated documentation files (the |
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* "Software"), to deal in the Software without restriction, including |
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* without limitation the rights to use, copy, modify, merge, publish, |
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* distribute, sublicense, and/or sell copies of the Software, and to |
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* permit persons to whom the Software is furnished to do so, subject to |
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* the following conditions: |
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* |
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* The above copyright notice and this permission notice shall be |
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* included in all copies or substantial portions of the Software. |
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* |
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* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, |
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* EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF |
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* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND |
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* NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS |
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* BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN |
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* ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN |
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* CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE |
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* SOFTWARE. |
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*/ |
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#include "inner.h" |
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/* see inner.h */ |
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void |
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0
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br_i15_montymul(uint16_t *d, const uint16_t *x, const uint16_t *y, |
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const uint16_t *m, uint16_t m0i) |
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{ |
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size_t len, len4, u, v; |
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uint32_t dh; |
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0
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len = (m[0] + 15) >> 4; |
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0
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len4 = len & ~(size_t)3; |
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0
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br_i15_zero(d, m[0]); |
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0
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dh = 0; |
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0
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0
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for (u = 0; u < len; u ++) { |
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uint32_t f, xu, r, zh; |
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0
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xu = x[u + 1]; |
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0
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f = MUL15((d[1] + MUL15(x[u + 1], y[1])) & 0x7FFF, m0i) |
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& 0x7FFF; |
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#if BR_ARMEL_CORTEXM_GCC |
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if (len4 != 0) { |
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uint16_t *limit; |
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49
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limit = d + len4; |
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asm volatile ( |
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"\n\ |
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@ carry: r=r2 \n\ |
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@ multipliers: xu=r3 f=r4 \n\ |
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@ base registers: d+v=r5 y+v=r6 m+v=r7 \n\ |
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@ r8 contains 0x7FFF \n\ |
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@ r9 contains d+len4 \n\ |
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ldr r0, %[limit] \n\ |
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ldr r3, %[xu] \n\ |
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mov r9, r0 \n\ |
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ldr r4, %[f] \n\ |
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eor r2, r2 \n\ |
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ldr r5, %[d] \n\ |
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sub r1, r2, #1 \n\ |
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ldr r6, %[y] \n\ |
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lsr r1, r1, #17 \n\ |
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ldr r7, %[m] \n\ |
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mov r8, r1 \n\ |
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loop%=: \n\ |
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ldrh r0, [r6, #2] \n\ |
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70
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ldrh r1, [r7, #2] \n\ |
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mul r0, r3 \n\ |
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mul r1, r4 \n\ |
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add r2, r0, r2 \n\ |
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ldrh r0, [r5, #2] \n\ |
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add r2, r1, r2 \n\ |
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mov r1, r8 \n\ |
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add r2, r0, r2 \n\ |
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and r1, r2 \n\ |
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lsr r2, r2, #15 \n\ |
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strh r1, [r5, #0] \n\ |
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\n\ |
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ldrh r0, [r6, #4] \n\ |
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ldrh r1, [r7, #4] \n\ |
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mul r0, r3 \n\ |
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mul r1, r4 \n\ |
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add r2, r0, r2 \n\ |
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ldrh r0, [r5, #4] \n\ |
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add r2, r1, r2 \n\ |
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mov r1, r8 \n\ |
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add r2, r0, r2 \n\ |
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and r1, r2 \n\ |
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lsr r2, r2, #15 \n\ |
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strh r1, [r5, #2] \n\ |
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\n\ |
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ldrh r0, [r6, #6] \n\ |
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ldrh r1, [r7, #6] \n\ |
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mul r0, r3 \n\ |
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mul r1, r4 \n\ |
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add r2, r0, r2 \n\ |
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ldrh r0, [r5, #6] \n\ |
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add r2, r1, r2 \n\ |
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mov r1, r8 \n\ |
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add r2, r0, r2 \n\ |
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104
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and r1, r2 \n\ |
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105
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lsr r2, r2, #15 \n\ |
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106
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strh r1, [r5, #4] \n\ |
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107
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\n\ |
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108
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ldrh r0, [r6, #8] \n\ |
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ldrh r1, [r7, #8] \n\ |
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mul r0, r3 \n\ |
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mul r1, r4 \n\ |
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112
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add r2, r0, r2 \n\ |
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113
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ldrh r0, [r5, #8] \n\ |
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add r2, r1, r2 \n\ |
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115
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mov r1, r8 \n\ |
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add r2, r0, r2 \n\ |
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117
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and r1, r2 \n\ |
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118
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lsr r2, r2, #15 \n\ |
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119
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strh r1, [r5, #6] \n\ |
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120
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\n\ |
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121
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add r5, r5, #8 \n\ |
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122
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add r6, r6, #8 \n\ |
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123
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add r7, r7, #8 \n\ |
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124
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cmp r5, r9 \n\ |
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125
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bne loop%= \n\ |
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\n\ |
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127
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str r2, %[carry] \n\ |
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128
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" |
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129
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: [carry] "=m" (r) |
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130
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: [xu] "m" (xu), [f] "m" (f), [d] "m" (d), [y] "m" (y), |
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[m] "m" (m), [limit] "m" (limit) |
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132
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: "r0", "r1", "r2", "r3", "r4", "r5", "r6", "r7", "r8", "r9" ); |
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133
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} else { |
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134
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r = 0; |
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135
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} |
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136
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v = len4; |
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137
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#else |
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138
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0
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r = 0; |
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139
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0
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0
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for (v = 0; v < len4; v += 4) { |
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140
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uint32_t z; |
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141
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142
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0
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z = d[v + 1] + MUL15(xu, y[v + 1]) |
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143
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0
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+ MUL15(f, m[v + 1]) + r; |
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0
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r = z >> 15; |
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145
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0
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d[v + 0] = z & 0x7FFF; |
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146
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0
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z = d[v + 2] + MUL15(xu, y[v + 2]) |
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147
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0
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+ MUL15(f, m[v + 2]) + r; |
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148
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0
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r = z >> 15; |
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149
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0
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d[v + 1] = z & 0x7FFF; |
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150
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0
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z = d[v + 3] + MUL15(xu, y[v + 3]) |
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151
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0
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+ MUL15(f, m[v + 3]) + r; |
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152
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0
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r = z >> 15; |
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153
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0
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d[v + 2] = z & 0x7FFF; |
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154
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0
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z = d[v + 4] + MUL15(xu, y[v + 4]) |
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155
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0
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+ MUL15(f, m[v + 4]) + r; |
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156
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0
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r = z >> 15; |
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157
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0
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d[v + 3] = z & 0x7FFF; |
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158
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} |
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159
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#endif |
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160
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0
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0
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for (; v < len; v ++) { |
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161
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uint32_t z; |
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162
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163
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0
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z = d[v + 1] + MUL15(xu, y[v + 1]) |
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164
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0
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+ MUL15(f, m[v + 1]) + r; |
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165
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0
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r = z >> 15; |
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166
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0
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d[v + 0] = z & 0x7FFF; |
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167
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} |
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168
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169
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0
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zh = dh + r; |
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170
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0
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d[len] = zh & 0x7FFF; |
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171
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0
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dh = zh >> 15; |
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172
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} |
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173
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174
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/* |
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175
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* Restore the bit length (it was overwritten in the loop above). |
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176
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*/ |
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177
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0
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d[0] = m[0]; |
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178
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179
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/* |
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180
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* d[] may be greater than m[], but it is still lower than twice |
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181
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* the modulus. |
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182
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*/ |
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183
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0
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br_i15_sub(d, m, NEQ(dh, 0) | NOT(br_i15_sub(d, m, 0))); |
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184
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0
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} |