Mercurial > dropbear

annotate libtommath/bn_mp_karatsuba_sqr.c @ 1663:c795520269f9

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Fallback for key gen without hard link support (#89) Add a non-atomic fallback for key generation on platforms where link() is not permitted (such as most stock Android installs) or on filesystems without hard link support (such as FAT).
author Matt Robinson <git@nerdoftheherd.com>
date Sat, 14 Mar 2020 14:37:35 +0000
parents f52919ffd3b1
children
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
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diff changeset
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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parents: 1470
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89 if (s_mp_sub(&t1, &t2, &t1) != MP_OKAY)
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Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
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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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parents: 1470
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94 goto X1X1; /* t1 = (x0x0 + x1x1 - (x1-x0)*(x1-x0))<<B */
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parents: 1470
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95 if (mp_lshd(&x1x1, B * 2) != MP_OKAY)
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Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
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96 goto X1X1; /* x1x1 = x1x1 << 2*B */
284
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parents:
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97
1655
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parents: 1470
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98 if (mp_add(&x0x0, &t1, &t1) != MP_OKAY)
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parents: 1470
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99 goto X1X1; /* t1 = x0x0 + t1 */
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parents: 1470
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100 if (mp_add(&t1, &x1x1, b) != MP_OKAY)
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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parents: 1470
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101 goto X1X1; /* t1 = x0x0 + t1 + x1x1 */
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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parents: 1470
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102
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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parents: 1470
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103 err = MP_OKAY;
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parents:
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104
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parents: 1470
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105 X1X1:
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parents: 1470
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106 mp_clear(&x1x1);
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parents: 1470
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107 X0X0:
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parents: 1470
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108 mp_clear(&x0x0);
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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parents: 1470
diff changeset
109 T2:
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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parents: 1470
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110 mp_clear(&t2);
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
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111 T1:
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
112 mp_clear(&t1);
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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parents: 1470
diff changeset
113 X1:
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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parents: 1470
diff changeset
114 mp_clear(&x1);
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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parents: 1470
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115 X0:
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
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116 mp_clear(&x0);
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
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117 LBL_ERR:
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parents: 1470
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118 return err;
284
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Matt Johnston <matt@ucc.asn.au>
parents:
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119 }
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parents:
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120 #endif
389
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parents: 284
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121
1655
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parents: 1470
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122 /* ref: HEAD -> master, tag: v1.1.0 */
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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parents: 1470
diff changeset
123 /* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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parents: 1470
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124 /* commit time: 2019-01-28 20:32:32 +0100 */