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annotate nss/lib/freebl/ecl/ecp_521.c @ 0:1e5118fa0cb1

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This is NSS with a Cmake Buildsyste To compile a static NSS library for Windows we've used the Chromium-NSS fork and added a Cmake buildsystem to compile it statically for Windows. See README.chromium for chromium changes and README.trustbridge for our modifications.
author Andre Heinecke <andre.heinecke@intevation.de>
date Mon, 28 Jul 2014 10:47:06 +0200
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0
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1 /* This Source Code Form is subject to the terms of the Mozilla Public
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2 * License, v. 2.0. If a copy of the MPL was not distributed with this
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3 * file, You can obtain one at http://mozilla.org/MPL/2.0/. */
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4
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5 #include "ecp.h"
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6 #include "mpi.h"
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7 #include "mplogic.h"
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8 #include "mpi-priv.h"
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9
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10 #define ECP521_DIGITS ECL_CURVE_DIGITS(521)
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11
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12 /* Fast modular reduction for p521 = 2^521 - 1. a can be r. Uses
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13 * algorithm 2.31 from Hankerson, Menezes, Vanstone. Guide to
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14 * Elliptic Curve Cryptography. */
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15 static mp_err
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16 ec_GFp_nistp521_mod(const mp_int *a, mp_int *r, const GFMethod *meth)
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17 {
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18 mp_err res = MP_OKAY;
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19 int a_bits = mpl_significant_bits(a);
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20 int i;
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21
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22 /* m1, m2 are statically-allocated mp_int of exactly the size we need */
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23 mp_int m1;
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24
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25 mp_digit s1[ECP521_DIGITS] = { 0 };
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26
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27 MP_SIGN(&m1) = MP_ZPOS;
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28 MP_ALLOC(&m1) = ECP521_DIGITS;
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29 MP_USED(&m1) = ECP521_DIGITS;
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30 MP_DIGITS(&m1) = s1;
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31
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32 if (a_bits < 521) {
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33 if (a==r) return MP_OKAY;
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34 return mp_copy(a, r);
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35 }
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36 /* for polynomials larger than twice the field size or polynomials
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37 * not using all words, use regular reduction */
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38 if (a_bits > (521*2)) {
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39 MP_CHECKOK(mp_mod(a, &meth->irr, r));
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40 } else {
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41 #define FIRST_DIGIT (ECP521_DIGITS-1)
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42 for (i = FIRST_DIGIT; i < MP_USED(a)-1; i++) {
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43 s1[i-FIRST_DIGIT] = (MP_DIGIT(a, i) >> 9)
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44 | (MP_DIGIT(a, 1+i) << (MP_DIGIT_BIT-9));
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45 }
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46 s1[i-FIRST_DIGIT] = MP_DIGIT(a, i) >> 9;
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47
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48 if ( a != r ) {
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49 MP_CHECKOK(s_mp_pad(r,ECP521_DIGITS));
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50 for (i = 0; i < ECP521_DIGITS; i++) {
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51 MP_DIGIT(r,i) = MP_DIGIT(a, i);
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52 }
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53 }
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54 MP_USED(r) = ECP521_DIGITS;
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55 MP_DIGIT(r,FIRST_DIGIT) &= 0x1FF;
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56
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57 MP_CHECKOK(s_mp_add(r, &m1));
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58 if (MP_DIGIT(r, FIRST_DIGIT) & 0x200) {
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59 MP_CHECKOK(s_mp_add_d(r,1));
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60 MP_DIGIT(r,FIRST_DIGIT) &= 0x1FF;
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61 } else if (s_mp_cmp(r, &meth->irr) == 0) {
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62 mp_zero(r);
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63 }
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64 s_mp_clamp(r);
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65 }
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66
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67 CLEANUP:
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68 return res;
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69 }
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70
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71 /* Compute the square of polynomial a, reduce modulo p521. Store the
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72 * result in r. r could be a. Uses optimized modular reduction for p521.
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73 */
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74 static mp_err
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75 ec_GFp_nistp521_sqr(const mp_int *a, mp_int *r, const GFMethod *meth)
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76 {
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77 mp_err res = MP_OKAY;
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78
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79 MP_CHECKOK(mp_sqr(a, r));
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80 MP_CHECKOK(ec_GFp_nistp521_mod(r, r, meth));
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81 CLEANUP:
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82 return res;
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83 }
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84
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85 /* Compute the product of two polynomials a and b, reduce modulo p521.
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86 * Store the result in r. r could be a or b; a could be b. Uses
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87 * optimized modular reduction for p521. */
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88 static mp_err
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89 ec_GFp_nistp521_mul(const mp_int *a, const mp_int *b, mp_int *r,
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90 const GFMethod *meth)
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91 {
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92 mp_err res = MP_OKAY;
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93
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94 MP_CHECKOK(mp_mul(a, b, r));
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95 MP_CHECKOK(ec_GFp_nistp521_mod(r, r, meth));
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96 CLEANUP:
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97 return res;
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98 }
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99
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100 /* Divides two field elements. If a is NULL, then returns the inverse of
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101 * b. */
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102 static mp_err
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103 ec_GFp_nistp521_div(const mp_int *a, const mp_int *b, mp_int *r,
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104 const GFMethod *meth)
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105 {
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106 mp_err res = MP_OKAY;
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107 mp_int t;
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108
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109 /* If a is NULL, then return the inverse of b, otherwise return a/b. */
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110 if (a == NULL) {
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111 return mp_invmod(b, &meth->irr, r);
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112 } else {
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113 /* MPI doesn't support divmod, so we implement it using invmod and
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114 * mulmod. */
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115 MP_CHECKOK(mp_init(&t));
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116 MP_CHECKOK(mp_invmod(b, &meth->irr, &t));
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117 MP_CHECKOK(mp_mul(a, &t, r));
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118 MP_CHECKOK(ec_GFp_nistp521_mod(r, r, meth));
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119 CLEANUP:
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120 mp_clear(&t);
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121 return res;
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122 }
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123 }
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124
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125 /* Wire in fast field arithmetic and precomputation of base point for
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126 * named curves. */
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127 mp_err
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
128 ec_group_set_gfp521(ECGroup *group, ECCurveName name)
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
129 {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
130 if (name == ECCurve_NIST_P521) {
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
131 group->meth->field_mod = &ec_GFp_nistp521_mod;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
132 group->meth->field_mul = &ec_GFp_nistp521_mul;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
133 group->meth->field_sqr = &ec_GFp_nistp521_sqr;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
134 group->meth->field_div = &ec_GFp_nistp521_div;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
135 }
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
136 return MP_OKAY;
1e5118fa0cb1 This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff changeset
137 }
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