Mercurial > dropbear
annotate tomsfastmath/src/mont/fp_montgomery_reduce.c @ 643:a362b62d38b2 dropbear-tfm
Add tomsfastmath from git rev bfa4582842bc3bab42e4be4aed5703437049502a
with Makefile.in renamed
author | Matt Johnston <matt@ucc.asn.au> |
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date | Wed, 23 Nov 2011 18:10:20 +0700 |
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643
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1 /* TomsFastMath, a fast ISO C bignum library. |
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2 * |
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3 * This project is meant to fill in where LibTomMath |
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4 * falls short. That is speed ;-) |
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5 * |
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6 * This project is public domain and free for all purposes. |
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7 * |
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8 * Tom St Denis, [email protected] |
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9 */ |
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10 #include <tfm.h> |
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11 |
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12 /******************************************************************/ |
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13 #if defined(TFM_X86) && !defined(TFM_SSE2) |
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14 /* x86-32 code */ |
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15 |
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16 #define MONT_START |
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17 #define MONT_FINI |
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18 #define LOOP_END |
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19 #define LOOP_START \ |
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20 mu = c[x] * mp |
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21 |
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22 #define INNERMUL \ |
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23 asm( \ |
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24 "movl %5,%%eax \n\t" \ |
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25 "mull %4 \n\t" \ |
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26 "addl %1,%%eax \n\t" \ |
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27 "adcl $0,%%edx \n\t" \ |
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28 "addl %%eax,%0 \n\t" \ |
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29 "adcl $0,%%edx \n\t" \ |
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30 "movl %%edx,%1 \n\t" \ |
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31 :"=g"(_c[LO]), "=r"(cy) \ |
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32 :"0"(_c[LO]), "1"(cy), "g"(mu), "g"(*tmpm++) \ |
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33 : "%eax", "%edx", "%cc") |
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34 |
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35 #define PROPCARRY \ |
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36 asm( \ |
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37 "addl %1,%0 \n\t" \ |
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38 "setb %%al \n\t" \ |
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39 "movzbl %%al,%1 \n\t" \ |
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40 :"=g"(_c[LO]), "=r"(cy) \ |
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41 :"0"(_c[LO]), "1"(cy) \ |
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42 : "%eax", "%cc") |
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43 |
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44 /******************************************************************/ |
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45 #elif defined(TFM_X86_64) |
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46 /* x86-64 code */ |
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47 |
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48 #define MONT_START |
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49 #define MONT_FINI |
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50 #define LOOP_END |
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51 #define LOOP_START \ |
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52 mu = c[x] * mp |
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53 |
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54 #define INNERMUL \ |
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55 asm( \ |
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56 "movq %5,%%rax \n\t" \ |
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57 "mulq %4 \n\t" \ |
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58 "addq %1,%%rax \n\t" \ |
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59 "adcq $0,%%rdx \n\t" \ |
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60 "addq %%rax,%0 \n\t" \ |
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61 "adcq $0,%%rdx \n\t" \ |
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62 "movq %%rdx,%1 \n\t" \ |
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63 :"=g"(_c[LO]), "=r"(cy) \ |
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64 :"0"(_c[LO]), "1"(cy), "r"(mu), "r"(*tmpm++) \ |
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65 : "%rax", "%rdx", "%cc") |
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66 |
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67 #define INNERMUL8 \ |
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68 asm( \ |
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69 "movq 0(%5),%%rax \n\t" \ |
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70 "movq 0(%2),%%r10 \n\t" \ |
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71 "movq 0x8(%5),%%r11 \n\t" \ |
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72 "mulq %4 \n\t" \ |
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73 "addq %%r10,%%rax \n\t" \ |
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74 "adcq $0,%%rdx \n\t" \ |
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75 "movq 0x8(%2),%%r10 \n\t" \ |
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76 "addq %3,%%rax \n\t" \ |
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77 "adcq $0,%%rdx \n\t" \ |
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78 "movq %%rax,0(%0) \n\t" \ |
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79 "movq %%rdx,%1 \n\t" \ |
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80 \ |
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81 "movq %%r11,%%rax \n\t" \ |
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82 "movq 0x10(%5),%%r11 \n\t" \ |
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83 "mulq %4 \n\t" \ |
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84 "addq %%r10,%%rax \n\t" \ |
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85 "adcq $0,%%rdx \n\t" \ |
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86 "movq 0x10(%2),%%r10 \n\t" \ |
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87 "addq %3,%%rax \n\t" \ |
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88 "adcq $0,%%rdx \n\t" \ |
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89 "movq %%rax,0x8(%0) \n\t" \ |
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90 "movq %%rdx,%1 \n\t" \ |
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91 \ |
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92 "movq %%r11,%%rax \n\t" \ |
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93 "movq 0x18(%5),%%r11 \n\t" \ |
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94 "mulq %4 \n\t" \ |
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95 "addq %%r10,%%rax \n\t" \ |
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96 "adcq $0,%%rdx \n\t" \ |
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97 "movq 0x18(%2),%%r10 \n\t" \ |
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98 "addq %3,%%rax \n\t" \ |
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99 "adcq $0,%%rdx \n\t" \ |
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100 "movq %%rax,0x10(%0) \n\t" \ |
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101 "movq %%rdx,%1 \n\t" \ |
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102 \ |
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103 "movq %%r11,%%rax \n\t" \ |
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104 "movq 0x20(%5),%%r11 \n\t" \ |
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105 "mulq %4 \n\t" \ |
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106 "addq %%r10,%%rax \n\t" \ |
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107 "adcq $0,%%rdx \n\t" \ |
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108 "movq 0x20(%2),%%r10 \n\t" \ |
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109 "addq %3,%%rax \n\t" \ |
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110 "adcq $0,%%rdx \n\t" \ |
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111 "movq %%rax,0x18(%0) \n\t" \ |
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112 "movq %%rdx,%1 \n\t" \ |
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113 \ |
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114 "movq %%r11,%%rax \n\t" \ |
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115 "movq 0x28(%5),%%r11 \n\t" \ |
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116 "mulq %4 \n\t" \ |
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117 "addq %%r10,%%rax \n\t" \ |
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118 "adcq $0,%%rdx \n\t" \ |
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119 "movq 0x28(%2),%%r10 \n\t" \ |
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120 "addq %3,%%rax \n\t" \ |
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121 "adcq $0,%%rdx \n\t" \ |
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122 "movq %%rax,0x20(%0) \n\t" \ |
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123 "movq %%rdx,%1 \n\t" \ |
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124 \ |
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125 "movq %%r11,%%rax \n\t" \ |
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126 "movq 0x30(%5),%%r11 \n\t" \ |
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127 "mulq %4 \n\t" \ |
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128 "addq %%r10,%%rax \n\t" \ |
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129 "adcq $0,%%rdx \n\t" \ |
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130 "movq 0x30(%2),%%r10 \n\t" \ |
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131 "addq %3,%%rax \n\t" \ |
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132 "adcq $0,%%rdx \n\t" \ |
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133 "movq %%rax,0x28(%0) \n\t" \ |
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134 "movq %%rdx,%1 \n\t" \ |
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135 \ |
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136 "movq %%r11,%%rax \n\t" \ |
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137 "movq 0x38(%5),%%r11 \n\t" \ |
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138 "mulq %4 \n\t" \ |
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139 "addq %%r10,%%rax \n\t" \ |
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140 "adcq $0,%%rdx \n\t" \ |
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141 "movq 0x38(%2),%%r10 \n\t" \ |
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142 "addq %3,%%rax \n\t" \ |
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143 "adcq $0,%%rdx \n\t" \ |
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144 "movq %%rax,0x30(%0) \n\t" \ |
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145 "movq %%rdx,%1 \n\t" \ |
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146 \ |
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147 "movq %%r11,%%rax \n\t" \ |
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148 "mulq %4 \n\t" \ |
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149 "addq %%r10,%%rax \n\t" \ |
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150 "adcq $0,%%rdx \n\t" \ |
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151 "addq %3,%%rax \n\t" \ |
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152 "adcq $0,%%rdx \n\t" \ |
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153 "movq %%rax,0x38(%0) \n\t" \ |
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154 "movq %%rdx,%1 \n\t" \ |
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155 \ |
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156 :"=r"(_c), "=r"(cy) \ |
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157 : "0"(_c), "1"(cy), "g"(mu), "r"(tmpm)\ |
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158 : "%rax", "%rdx", "%r10", "%r11", "%cc") |
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159 |
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160 |
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161 #define PROPCARRY \ |
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162 asm( \ |
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163 "addq %1,%0 \n\t" \ |
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164 "setb %%al \n\t" \ |
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165 "movzbq %%al,%1 \n\t" \ |
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166 :"=g"(_c[LO]), "=r"(cy) \ |
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167 :"0"(_c[LO]), "1"(cy) \ |
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168 : "%rax", "%cc") |
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169 |
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170 /******************************************************************/ |
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171 #elif defined(TFM_SSE2) |
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172 /* SSE2 code (assumes 32-bit fp_digits) */ |
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173 /* XMM register assignments: |
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174 * xmm0 *tmpm++, then Mu * (*tmpm++) |
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175 * xmm1 c[x], then Mu |
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176 * xmm2 mp |
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177 * xmm3 cy |
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178 * xmm4 _c[LO] |
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179 */ |
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180 |
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181 #define MONT_START \ |
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182 asm("movd %0,%%mm2"::"g"(mp)) |
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183 |
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184 #define MONT_FINI \ |
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185 asm("emms") |
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186 |
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187 #define LOOP_START \ |
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188 asm( \ |
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189 "movd %0,%%mm1 \n\t" \ |
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190 "pxor %%mm3,%%mm3 \n\t" \ |
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191 "pmuludq %%mm2,%%mm1 \n\t" \ |
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192 :: "g"(c[x])) |
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193 |
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194 /* pmuludq on mmx registers does a 32x32->64 multiply. */ |
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195 #define INNERMUL \ |
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196 asm( \ |
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197 "movd %1,%%mm4 \n\t" \ |
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198 "movd %2,%%mm0 \n\t" \ |
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199 "paddq %%mm4,%%mm3 \n\t" \ |
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200 "pmuludq %%mm1,%%mm0 \n\t" \ |
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201 "paddq %%mm0,%%mm3 \n\t" \ |
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202 "movd %%mm3,%0 \n\t" \ |
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203 "psrlq $32, %%mm3 \n\t" \ |
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204 :"=g"(_c[LO]) : "0"(_c[LO]), "g"(*tmpm++) ); |
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205 |
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206 #define INNERMUL8 \ |
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207 asm( \ |
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208 "movd 0(%1),%%mm4 \n\t" \ |
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209 "movd 0(%2),%%mm0 \n\t" \ |
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210 "paddq %%mm4,%%mm3 \n\t" \ |
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211 "pmuludq %%mm1,%%mm0 \n\t" \ |
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212 "movd 4(%2),%%mm5 \n\t" \ |
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213 "paddq %%mm0,%%mm3 \n\t" \ |
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214 "movd 4(%1),%%mm6 \n\t" \ |
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215 "movd %%mm3,0(%0) \n\t" \ |
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216 "psrlq $32, %%mm3 \n\t" \ |
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217 \ |
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218 "paddq %%mm6,%%mm3 \n\t" \ |
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219 "pmuludq %%mm1,%%mm5 \n\t" \ |
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220 "movd 8(%2),%%mm6 \n\t" \ |
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221 "paddq %%mm5,%%mm3 \n\t" \ |
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222 "movd 8(%1),%%mm7 \n\t" \ |
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223 "movd %%mm3,4(%0) \n\t" \ |
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224 "psrlq $32, %%mm3 \n\t" \ |
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225 \ |
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226 "paddq %%mm7,%%mm3 \n\t" \ |
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227 "pmuludq %%mm1,%%mm6 \n\t" \ |
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228 "movd 12(%2),%%mm7 \n\t" \ |
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229 "paddq %%mm6,%%mm3 \n\t" \ |
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230 "movd 12(%1),%%mm5 \n\t" \ |
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231 "movd %%mm3,8(%0) \n\t" \ |
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232 "psrlq $32, %%mm3 \n\t" \ |
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233 \ |
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234 "paddq %%mm5,%%mm3 \n\t" \ |
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235 "pmuludq %%mm1,%%mm7 \n\t" \ |
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236 "movd 16(%2),%%mm5 \n\t" \ |
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237 "paddq %%mm7,%%mm3 \n\t" \ |
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238 "movd 16(%1),%%mm6 \n\t" \ |
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239 "movd %%mm3,12(%0) \n\t" \ |
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240 "psrlq $32, %%mm3 \n\t" \ |
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241 \ |
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242 "paddq %%mm6,%%mm3 \n\t" \ |
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243 "pmuludq %%mm1,%%mm5 \n\t" \ |
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244 "movd 20(%2),%%mm6 \n\t" \ |
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245 "paddq %%mm5,%%mm3 \n\t" \ |
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246 "movd 20(%1),%%mm7 \n\t" \ |
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247 "movd %%mm3,16(%0) \n\t" \ |
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248 "psrlq $32, %%mm3 \n\t" \ |
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249 \ |
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250 "paddq %%mm7,%%mm3 \n\t" \ |
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251 "pmuludq %%mm1,%%mm6 \n\t" \ |
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252 "movd 24(%2),%%mm7 \n\t" \ |
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253 "paddq %%mm6,%%mm3 \n\t" \ |
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254 "movd 24(%1),%%mm5 \n\t" \ |
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255 "movd %%mm3,20(%0) \n\t" \ |
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256 "psrlq $32, %%mm3 \n\t" \ |
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257 \ |
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258 "paddq %%mm5,%%mm3 \n\t" \ |
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259 "pmuludq %%mm1,%%mm7 \n\t" \ |
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260 "movd 28(%2),%%mm5 \n\t" \ |
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261 "paddq %%mm7,%%mm3 \n\t" \ |
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262 "movd 28(%1),%%mm6 \n\t" \ |
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263 "movd %%mm3,24(%0) \n\t" \ |
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264 "psrlq $32, %%mm3 \n\t" \ |
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265 \ |
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266 "paddq %%mm6,%%mm3 \n\t" \ |
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267 "pmuludq %%mm1,%%mm5 \n\t" \ |
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268 "paddq %%mm5,%%mm3 \n\t" \ |
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269 "movd %%mm3,28(%0) \n\t" \ |
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270 "psrlq $32, %%mm3 \n\t" \ |
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271 :"=r"(_c) : "0"(_c), "g"(tmpm) ); |
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272 |
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273 #define LOOP_END \ |
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274 asm( "movd %%mm3,%0 \n" :"=r"(cy)) |
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275 |
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276 #define PROPCARRY \ |
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277 asm( \ |
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278 "addl %1,%0 \n\t" \ |
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279 "setb %%al \n\t" \ |
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280 "movzbl %%al,%1 \n\t" \ |
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281 :"=g"(_c[LO]), "=r"(cy) \ |
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282 :"0"(_c[LO]), "1"(cy) \ |
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283 : "%eax", "%cc") |
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284 |
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285 /******************************************************************/ |
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286 #elif defined(TFM_ARM) |
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287 /* ARMv4 code */ |
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288 |
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289 #define MONT_START |
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290 #define MONT_FINI |
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291 #define LOOP_END |
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292 #define LOOP_START \ |
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293 mu = c[x] * mp |
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294 |
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295 #define INNERMUL \ |
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296 asm( \ |
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297 " LDR r0,%1 \n\t" \ |
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298 " ADDS r0,r0,%0 \n\t" \ |
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299 " MOVCS %0,#1 \n\t" \ |
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300 " MOVCC %0,#0 \n\t" \ |
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301 " UMLAL r0,%0,%3,%4 \n\t" \ |
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302 " STR r0,%1 \n\t" \ |
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303 :"=r"(cy),"=m"(_c[0]):"0"(cy),"r"(mu),"r"(*tmpm++),"1"(_c[0]):"r0","%cc"); |
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304 |
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305 #define PROPCARRY \ |
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306 asm( \ |
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307 " LDR r0,%1 \n\t" \ |
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308 " ADDS r0,r0,%0 \n\t" \ |
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309 " STR r0,%1 \n\t" \ |
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310 " MOVCS %0,#1 \n\t" \ |
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311 " MOVCC %0,#0 \n\t" \ |
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312 :"=r"(cy),"=m"(_c[0]):"0"(cy),"1"(_c[0]):"r0","%cc"); |
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313 |
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314 /******************************************************************/ |
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315 #elif defined(TFM_PPC32) |
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316 |
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317 /* PPC32 */ |
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318 #define MONT_START |
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319 #define MONT_FINI |
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320 #define LOOP_END |
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321 #define LOOP_START \ |
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322 mu = c[x] * mp |
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323 |
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324 #define INNERMUL \ |
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325 asm( \ |
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326 " mullw 16,%3,%4 \n\t" \ |
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327 " mulhwu 17,%3,%4 \n\t" \ |
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328 " addc 16,16,%0 \n\t" \ |
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329 " addze 17,17 \n\t" \ |
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330 " lwz 18,%1 \n\t" \ |
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331 " addc 16,16,18 \n\t" \ |
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332 " addze %0,17 \n\t" \ |
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333 " stw 16,%1 \n\t" \ |
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334 :"=r"(cy),"=g"(_c[0]):"0"(cy),"r"(mu),"r"(tmpm[0]),"1"(_c[0]):"16", "17", "18","%cc"); ++tmpm; |
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335 |
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336 #define PROPCARRY \ |
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337 asm( \ |
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338 " lwz 16,%1 \n\t" \ |
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339 " addc 16,16,%0 \n\t" \ |
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340 " stw 16,%1 \n\t" \ |
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341 " xor %0,%0,%0 \n\t" \ |
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342 " addze %0,%0 \n\t" \ |
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343 :"=r"(cy),"=g"(_c[0]):"0"(cy),"1"(_c[0]):"16","%cc"); |
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344 |
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345 /******************************************************************/ |
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346 #elif defined(TFM_PPC64) |
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347 |
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348 /* PPC64 */ |
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349 #define MONT_START |
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350 #define MONT_FINI |
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351 #define LOOP_END |
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352 #define LOOP_START \ |
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353 mu = c[x] * mp |
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354 |
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355 #define INNERMUL \ |
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356 asm( \ |
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357 " mulld r16,%3,%4 \n\t" \ |
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358 " mulhdu r17,%3,%4 \n\t" \ |
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359 " addc r16,16,%0 \n\t" \ |
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360 " addze r17,r17 \n\t" \ |
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361 " ldx r18,0,%1 \n\t" \ |
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362 " addc r16,r16,r18 \n\t" \ |
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363 " addze %0,r17 \n\t" \ |
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364 " sdx r16,0,%1 \n\t" \ |
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365 :"=r"(cy),"=m"(_c[0]):"0"(cy),"r"(mu),"r"(tmpm[0]),"1"(_c[0]):"r16", "r17", "r18","%cc"); ++tmpm; |
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366 |
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367 #define PROPCARRY \ |
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368 asm( \ |
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369 " ldx r16,0,%1 \n\t" \ |
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370 " addc r16,r16,%0 \n\t" \ |
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371 " sdx r16,0,%1 \n\t" \ |
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372 " xor %0,%0,%0 \n\t" \ |
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373 " addze %0,%0 \n\t" \ |
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374 :"=r"(cy),"=m"(_c[0]):"0"(cy),"1"(_c[0]):"r16","%cc"); |
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375 |
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376 /******************************************************************/ |
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377 #elif defined(TFM_AVR32) |
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378 |
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379 /* AVR32 */ |
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380 #define MONT_START |
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381 #define MONT_FINI |
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382 #define LOOP_END |
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383 #define LOOP_START \ |
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384 mu = c[x] * mp |
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385 |
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386 #define INNERMUL \ |
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387 asm( \ |
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388 " ld.w r2,%1 \n\t" \ |
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389 " add r2,%0 \n\t" \ |
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390 " eor r3,r3 \n\t" \ |
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391 " acr r3 \n\t" \ |
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392 " macu.d r2,%3,%4 \n\t" \ |
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393 " st.w %1,r2 \n\t" \ |
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394 " mov %0,r3 \n\t" \ |
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395 :"=r"(cy),"=r"(_c):"0"(cy),"r"(mu),"r"(*tmpm++),"1"(_c):"r2","r3"); |
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396 |
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397 #define PROPCARRY \ |
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398 asm( \ |
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399 " ld.w r2,%1 \n\t" \ |
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400 " add r2,%0 \n\t" \ |
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401 " st.w %1,r2 \n\t" \ |
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402 " eor %0,%0 \n\t" \ |
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403 " acr %0 \n\t" \ |
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404 :"=r"(cy),"=r"(&_c[0]):"0"(cy),"1"(&_c[0]):"r2","%cc"); |
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405 |
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406 /******************************************************************/ |
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407 #elif defined(TFM_MIPS) |
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408 |
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409 /* MIPS */ |
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410 #define MONT_START |
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411 #define MONT_FINI |
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412 #define LOOP_END |
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413 #define LOOP_START \ |
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414 mu = c[x] * mp |
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415 |
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416 #define INNERMUL \ |
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417 asm( \ |
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418 " multu %3,%4 \n\t" \ |
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419 " mflo $12 \n\t" \ |
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420 " mfhi $13 \n\t" \ |
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421 " addu $12,$12,%0 \n\t" \ |
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422 " sltu $10,$12,%0 \n\t" \ |
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423 " addu $13,$13,$10 \n\t" \ |
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424 " lw $10,%1 \n\t" \ |
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425 " addu $12,$12,$10 \n\t" \ |
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426 " sltu $10,$12,$10 \n\t" \ |
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427 " addu %0,$13,$10 \n\t" \ |
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428 " sw $12,%1 \n\t" \ |
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429 :"=r"(cy),"=m"(_c[0]):"0"(cy),"r"(mu),"r"(tmpm[0]),"1"(_c[0]):"$10","$12","$13"); ++tmpm; |
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430 |
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431 #define PROPCARRY \ |
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432 asm( \ |
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433 " lw $10,%1 \n\t" \ |
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434 " addu $10,$10,%0 \n\t" \ |
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435 " sw $10,%1 \n\t" \ |
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436 " sltu %0,$10,%0 \n\t" \ |
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437 :"=r"(cy),"=m"(_c[0]):"0"(cy),"1"(_c[0]):"$10"); |
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438 |
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439 /******************************************************************/ |
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440 #else |
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441 |
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442 /* ISO C code */ |
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443 #define MONT_START |
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444 #define MONT_FINI |
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445 #define LOOP_END |
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446 #define LOOP_START \ |
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447 mu = c[x] * mp |
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448 |
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449 #define INNERMUL \ |
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450 do { fp_word t; \ |
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451 _c[0] = t = ((fp_word)_c[0] + (fp_word)cy) + \ |
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452 (((fp_word)mu) * ((fp_word)*tmpm++)); \ |
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453 cy = (t >> DIGIT_BIT); \ |
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454 } while (0) |
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455 |
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456 #define PROPCARRY \ |
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457 do { fp_digit t = _c[0] += cy; cy = (t < cy); } while (0) |
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458 |
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459 #endif |
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460 /******************************************************************/ |
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461 |
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462 |
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463 #define LO 0 |
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464 |
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465 #ifdef TFM_SMALL_MONT_SET |
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466 #include "fp_mont_small.i" |
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467 #endif |
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468 |
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469 /* computes x/R == x (mod N) via Montgomery Reduction */ |
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470 void fp_montgomery_reduce(fp_int *a, fp_int *m, fp_digit mp) |
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471 { |
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472 fp_digit c[FP_SIZE], *_c, *tmpm, mu; |
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473 int oldused, x, y, pa; |
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474 |
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475 /* bail if too large */ |
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476 if (m->used > (FP_SIZE/2)) { |
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477 return; |
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478 } |
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479 |
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480 #ifdef TFM_SMALL_MONT_SET |
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481 if (m->used <= 16) { |
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482 fp_montgomery_reduce_small(a, m, mp); |
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483 return; |
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484 } |
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485 #endif |
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486 |
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487 #if defined(USE_MEMSET) |
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488 /* now zero the buff */ |
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489 memset(c, 0, sizeof c); |
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490 #endif |
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491 pa = m->used; |
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492 |
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493 /* copy the input */ |
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494 oldused = a->used; |
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495 for (x = 0; x < oldused; x++) { |
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496 c[x] = a->dp[x]; |
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497 } |
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498 #if !defined(USE_MEMSET) |
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499 for (; x < 2*pa+1; x++) { |
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500 c[x] = 0; |
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501 } |
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502 #endif |
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503 MONT_START; |
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504 |
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505 for (x = 0; x < pa; x++) { |
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506 fp_digit cy = 0; |
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507 /* get Mu for this round */ |
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508 LOOP_START; |
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509 _c = c + x; |
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510 tmpm = m->dp; |
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511 y = 0; |
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512 #if (defined(TFM_SSE2) || defined(TFM_X86_64)) |
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513 for (; y < (pa & ~7); y += 8) { |
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514 INNERMUL8; |
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515 _c += 8; |
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516 tmpm += 8; |
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517 } |
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518 #endif |
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519 |
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520 for (; y < pa; y++) { |
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521 INNERMUL; |
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522 ++_c; |
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523 } |
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524 LOOP_END; |
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525 while (cy) { |
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526 PROPCARRY; |
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527 ++_c; |
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528 } |
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529 } |
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530 |
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531 /* now copy out */ |
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532 _c = c + pa; |
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533 tmpm = a->dp; |
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534 for (x = 0; x < pa+1; x++) { |
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535 *tmpm++ = *_c++; |
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536 } |
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537 |
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538 for (; x < oldused; x++) { |
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539 *tmpm++ = 0; |
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540 } |
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541 |
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542 MONT_FINI; |
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543 |
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544 a->used = pa+1; |
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545 fp_clamp(a); |
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546 |
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547 /* if A >= m then A = A - m */ |
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548 if (fp_cmp_mag (a, m) != FP_LT) { |
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549 s_fp_sub (a, m, a); |
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550 } |
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551 } |
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552 |
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553 |
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554 /* $Source$ */ |
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555 /* $Revision$ */ |
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556 /* $Date$ */ |