Mercurial > dropbear

annotate libtommath/bn_mp_karatsuba_sqr.c @ 1656:a36e545fb43d

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Prime-related bugfixes (#81) * Merge pull request #180 from czurnieden/isprimeerror Fixed bug in mp_prime_isprime (cherry picked from commit f3ff7064f3301a2fc11b84d389fd67769862d437) * do 2 MR rounds for numbers >=2048bits * back-port modified mp_prime_next_prime()
author Steffen Jaeckel <s@jaeckel.eu>
date Tue, 17 Sep 2019 16:11:09 +0200
parents f52919ffd3b1
children
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
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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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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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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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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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parents: 1470
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96 goto X1X1; /* x1x1 = x1x1 << 2*B */
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97
1655
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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)
Steffen Jaeckel <s_jaeckel@gmx.de>
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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104
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105 X1X1:
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parents: 1470
diff changeset
106 mp_clear(&x1x1);
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107 X0X0:
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parents: 1470
diff changeset
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
diff changeset
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
diff changeset
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
diff changeset
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
diff changeset
118 return err;
284
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Matt Johnston <matt@ucc.asn.au>
parents:
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119 }
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
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parents:
diff changeset
120 #endif
389
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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
diff changeset
124 /* commit time: 2019-01-28 20:32:32 +0100 */