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1 #include <tommath.h> |
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2 #ifdef BN_MP_INVMOD_SLOW_C |
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3 /* LibTomMath, multiple-precision integer library -- Tom St Denis |
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4 * |
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5 * LibTomMath is a library that provides multiple-precision |
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6 * integer arithmetic as well as number theoretic functionality. |
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7 * |
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8 * The library was designed directly after the MPI library by |
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9 * Michael Fromberger but has been written from scratch with |
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10 * additional optimizations in place. |
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11 * |
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12 * The library is free for all purposes without any express |
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13 * guarantee it works. |
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14 * |
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15 * Tom St Denis, [email protected], http://math.libtomcrypt.org |
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16 */ |
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17 |
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18 /* hac 14.61, pp608 */ |
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19 int mp_invmod_slow (mp_int * a, mp_int * b, mp_int * c) |
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20 { |
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21 mp_int x, y, u, v, A, B, C, D; |
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22 int res; |
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23 |
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24 /* b cannot be negative */ |
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25 if (b->sign == MP_NEG || mp_iszero(b) == 1) { |
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26 return MP_VAL; |
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27 } |
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28 |
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29 /* init temps */ |
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30 if ((res = mp_init_multi(&x, &y, &u, &v, |
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31 &A, &B, &C, &D, NULL)) != MP_OKAY) { |
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32 return res; |
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33 } |
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34 |
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35 /* x = a, y = b */ |
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36 if ((res = mp_mod(a, b, &x)) != MP_OKAY) { |
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37 goto LBL_ERR; |
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38 } |
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39 if ((res = mp_copy (b, &y)) != MP_OKAY) { |
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40 goto LBL_ERR; |
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41 } |
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42 |
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43 /* 2. [modified] if x,y are both even then return an error! */ |
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44 if (mp_iseven (&x) == 1 && mp_iseven (&y) == 1) { |
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45 res = MP_VAL; |
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46 goto LBL_ERR; |
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47 } |
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48 |
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49 /* 3. u=x, v=y, A=1, B=0, C=0,D=1 */ |
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50 if ((res = mp_copy (&x, &u)) != MP_OKAY) { |
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51 goto LBL_ERR; |
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52 } |
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53 if ((res = mp_copy (&y, &v)) != MP_OKAY) { |
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54 goto LBL_ERR; |
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55 } |
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56 mp_set (&A, 1); |
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57 mp_set (&D, 1); |
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58 |
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59 top: |
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60 /* 4. while u is even do */ |
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61 while (mp_iseven (&u) == 1) { |
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62 /* 4.1 u = u/2 */ |
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63 if ((res = mp_div_2 (&u, &u)) != MP_OKAY) { |
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64 goto LBL_ERR; |
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65 } |
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66 /* 4.2 if A or B is odd then */ |
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67 if (mp_isodd (&A) == 1 || mp_isodd (&B) == 1) { |
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68 /* A = (A+y)/2, B = (B-x)/2 */ |
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69 if ((res = mp_add (&A, &y, &A)) != MP_OKAY) { |
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70 goto LBL_ERR; |
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71 } |
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72 if ((res = mp_sub (&B, &x, &B)) != MP_OKAY) { |
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73 goto LBL_ERR; |
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74 } |
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75 } |
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76 /* A = A/2, B = B/2 */ |
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77 if ((res = mp_div_2 (&A, &A)) != MP_OKAY) { |
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78 goto LBL_ERR; |
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79 } |
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80 if ((res = mp_div_2 (&B, &B)) != MP_OKAY) { |
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81 goto LBL_ERR; |
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82 } |
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83 } |
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84 |
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85 /* 5. while v is even do */ |
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86 while (mp_iseven (&v) == 1) { |
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87 /* 5.1 v = v/2 */ |
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88 if ((res = mp_div_2 (&v, &v)) != MP_OKAY) { |
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89 goto LBL_ERR; |
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90 } |
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91 /* 5.2 if C or D is odd then */ |
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92 if (mp_isodd (&C) == 1 || mp_isodd (&D) == 1) { |
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93 /* C = (C+y)/2, D = (D-x)/2 */ |
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94 if ((res = mp_add (&C, &y, &C)) != MP_OKAY) { |
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95 goto LBL_ERR; |
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96 } |
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97 if ((res = mp_sub (&D, &x, &D)) != MP_OKAY) { |
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98 goto LBL_ERR; |
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99 } |
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100 } |
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101 /* C = C/2, D = D/2 */ |
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102 if ((res = mp_div_2 (&C, &C)) != MP_OKAY) { |
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103 goto LBL_ERR; |
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104 } |
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105 if ((res = mp_div_2 (&D, &D)) != MP_OKAY) { |
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106 goto LBL_ERR; |
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107 } |
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108 } |
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109 |
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110 /* 6. if u >= v then */ |
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111 if (mp_cmp (&u, &v) != MP_LT) { |
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112 /* u = u - v, A = A - C, B = B - D */ |
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113 if ((res = mp_sub (&u, &v, &u)) != MP_OKAY) { |
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114 goto LBL_ERR; |
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115 } |
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116 |
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117 if ((res = mp_sub (&A, &C, &A)) != MP_OKAY) { |
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118 goto LBL_ERR; |
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119 } |
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120 |
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121 if ((res = mp_sub (&B, &D, &B)) != MP_OKAY) { |
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122 goto LBL_ERR; |
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123 } |
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124 } else { |
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125 /* v - v - u, C = C - A, D = D - B */ |
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126 if ((res = mp_sub (&v, &u, &v)) != MP_OKAY) { |
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127 goto LBL_ERR; |
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128 } |
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129 |
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130 if ((res = mp_sub (&C, &A, &C)) != MP_OKAY) { |
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131 goto LBL_ERR; |
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132 } |
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133 |
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134 if ((res = mp_sub (&D, &B, &D)) != MP_OKAY) { |
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135 goto LBL_ERR; |
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136 } |
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137 } |
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138 |
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139 /* if not zero goto step 4 */ |
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140 if (mp_iszero (&u) == 0) |
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141 goto top; |
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142 |
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143 /* now a = C, b = D, gcd == g*v */ |
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144 |
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145 /* if v != 1 then there is no inverse */ |
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146 if (mp_cmp_d (&v, 1) != MP_EQ) { |
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147 res = MP_VAL; |
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148 goto LBL_ERR; |
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149 } |
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150 |
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151 /* if its too low */ |
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152 while (mp_cmp_d(&C, 0) == MP_LT) { |
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153 if ((res = mp_add(&C, b, &C)) != MP_OKAY) { |
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154 goto LBL_ERR; |
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155 } |
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156 } |
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157 |
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158 /* too big */ |
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159 while (mp_cmp_mag(&C, b) != MP_LT) { |
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160 if ((res = mp_sub(&C, b, &C)) != MP_OKAY) { |
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161 goto LBL_ERR; |
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162 } |
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163 } |
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164 |
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165 /* C is now the inverse */ |
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166 mp_exch (&C, c); |
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167 res = MP_OKAY; |
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168 LBL_ERR:mp_clear_multi (&x, &y, &u, &v, &A, &B, &C, &D, NULL); |
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169 return res; |
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170 } |
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171 #endif |
