Mercurial > dropbear
annotate libtommath/bn_mp_karatsuba_sqr.c @ 1680:5e763ad6e2e0
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author | Matt Johnston <matt@ucc.asn.au> |
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date | Sun, 24 May 2020 13:34:19 +0800 |
parents | f52919ffd3b1 |
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1 #include "tommath_private.h" |
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2 #ifdef BN_MP_KARATSUBA_SQR_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 * SPDX-License-Identifier: Unlicense |
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13 */ |
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14 |
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15 /* Karatsuba squaring, computes b = a*a using three |
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16 * half size squarings |
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17 * |
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18 * See comments of karatsuba_mul for details. It |
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19 * is essentially the same algorithm but merely |
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20 * tuned to perform recursive squarings. |
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21 */ |
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22 int mp_karatsuba_sqr(const mp_int *a, mp_int *b) |
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23 { |
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24 mp_int x0, x1, t1, t2, x0x0, x1x1; |
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25 int B, err; |
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26 |
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27 err = MP_MEM; |
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28 |
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29 /* min # of digits */ |
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30 B = a->used; |
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31 |
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32 /* now divide in two */ |
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33 B = B >> 1; |
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34 |
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35 /* init copy all the temps */ |
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36 if (mp_init_size(&x0, B) != MP_OKAY) |
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37 goto LBL_ERR; |
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38 if (mp_init_size(&x1, a->used - B) != MP_OKAY) |
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39 goto X0; |
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40 |
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41 /* init temps */ |
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42 if (mp_init_size(&t1, a->used * 2) != MP_OKAY) |
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43 goto X1; |
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44 if (mp_init_size(&t2, a->used * 2) != MP_OKAY) |
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45 goto T1; |
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46 if (mp_init_size(&x0x0, B * 2) != MP_OKAY) |
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47 goto T2; |
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48 if (mp_init_size(&x1x1, (a->used - B) * 2) != MP_OKAY) |
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49 goto X0X0; |
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50 |
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51 { |
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52 int x; |
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53 mp_digit *dst, *src; |
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54 |
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55 src = a->dp; |
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56 |
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57 /* now shift the digits */ |
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58 dst = x0.dp; |
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59 for (x = 0; x < B; x++) { |
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60 *dst++ = *src++; |
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61 } |
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62 |
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63 dst = x1.dp; |
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64 for (x = B; x < a->used; x++) { |
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65 *dst++ = *src++; |
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66 } |
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67 } |
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68 |
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69 x0.used = B; |
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70 x1.used = a->used - B; |
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71 |
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72 mp_clamp(&x0); |
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73 |
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74 /* now calc the products x0*x0 and x1*x1 */ |
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75 if (mp_sqr(&x0, &x0x0) != MP_OKAY) |
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76 goto X1X1; /* x0x0 = x0*x0 */ |
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77 if (mp_sqr(&x1, &x1x1) != MP_OKAY) |
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78 goto X1X1; /* x1x1 = x1*x1 */ |
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79 |
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80 /* now calc (x1+x0)**2 */ |
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81 if (s_mp_add(&x1, &x0, &t1) != MP_OKAY) |
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82 goto X1X1; /* t1 = x1 - x0 */ |
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83 if (mp_sqr(&t1, &t1) != MP_OKAY) |
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84 goto X1X1; /* t1 = (x1 - x0) * (x1 - x0) */ |
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85 |
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86 /* add x0y0 */ |
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87 if (s_mp_add(&x0x0, &x1x1, &t2) != MP_OKAY) |
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88 goto X1X1; /* t2 = x0x0 + x1x1 */ |
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89 if (s_mp_sub(&t1, &t2, &t1) != MP_OKAY) |
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90 goto X1X1; /* t1 = (x1+x0)**2 - (x0x0 + x1x1) */ |
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91 |
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92 /* shift by B */ |
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93 if (mp_lshd(&t1, B) != MP_OKAY) |
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94 goto X1X1; /* t1 = (x0x0 + x1x1 - (x1-x0)*(x1-x0))<<B */ |
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95 if (mp_lshd(&x1x1, B * 2) != MP_OKAY) |
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96 goto X1X1; /* x1x1 = x1x1 << 2*B */ |
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97 |
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98 if (mp_add(&x0x0, &t1, &t1) != MP_OKAY) |
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99 goto X1X1; /* t1 = x0x0 + t1 */ |
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100 if (mp_add(&t1, &x1x1, b) != MP_OKAY) |
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101 goto X1X1; /* t1 = x0x0 + t1 + x1x1 */ |
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102 |
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103 err = MP_OKAY; |
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104 |
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105 X1X1: |
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106 mp_clear(&x1x1); |
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107 X0X0: |
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108 mp_clear(&x0x0); |
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109 T2: |
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110 mp_clear(&t2); |
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111 T1: |
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112 mp_clear(&t1); |
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113 X1: |
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114 mp_clear(&x1); |
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115 X0: |
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116 mp_clear(&x0); |
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117 LBL_ERR: |
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118 return err; |
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119 } |
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120 #endif |
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121 |
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122 /* ref: HEAD -> master, tag: v1.1.0 */ |
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123 /* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ |
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124 /* commit time: 2019-01-28 20:32:32 +0100 */ |