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1 | /* -*-c-*- |
2 | * |
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3 | * $Id$ |
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4 | * |
5 | * Binary fields with polynomial basis representation |
6 | * |
7 | * (c) 2004 Straylight/Edgeware |
8 | */ |
9 | |
10 | /*----- Licensing notice --------------------------------------------------* |
11 | * |
12 | * This file is part of Catacomb. |
13 | * |
14 | * Catacomb is free software; you can redistribute it and/or modify |
15 | * it under the terms of the GNU Library General Public License as |
16 | * published by the Free Software Foundation; either version 2 of the |
17 | * License, or (at your option) any later version. |
18 | * |
19 | * Catacomb is distributed in the hope that it will be useful, |
20 | * but WITHOUT ANY WARRANTY; without even the implied warranty of |
21 | * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
22 | * GNU Library General Public License for more details. |
23 | * |
24 | * You should have received a copy of the GNU Library General Public |
25 | * License along with Catacomb; if not, write to the Free |
26 | * Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, |
27 | * MA 02111-1307, USA. |
28 | */ |
29 | |
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30 | /*----- Header files ------------------------------------------------------*/ |
31 | |
32 | #include <mLib/sub.h> |
33 | |
34 | #include "field.h" |
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35 | #include "field-guts.h" |
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36 | #include "mprand.h" |
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37 | |
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38 | /*----- Polynomial basis --------------------------------------------------*/ |
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39 | |
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40 | /* --- Field operations --- */ |
41 | |
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42 | static void fdestroy(field *ff) { |
43 | fctx_binpoly *f = (fctx_binpoly *)ff; |
44 | gfreduce_destroy(&f->r); |
45 | DESTROY(f); |
46 | } |
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47 | |
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48 | static mp *frand(field *f, mp *d, grand *r) { |
49 | return (mprand(d, f->nbits, r, 0)); |
50 | } |
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51 | |
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52 | static int fzerop(field *ff, mp *x) { return (MP_ZEROP(x)); } |
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53 | |
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54 | static mp *fadd(field *ff, mp *d, mp *x, mp *y) { return (gf_add(d, x, y)); } |
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55 | |
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56 | static mp *fmul(field *ff, mp *d, mp *x, mp *y) { |
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57 | fctx_binpoly *f = (fctx_binpoly *)ff; d = gf_mul(d, x, y); |
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58 | return (gfreduce_do(&f->r, d, d)); |
59 | } |
60 | |
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61 | static mp *fsqr(field *ff, mp *d, mp *x) { |
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62 | fctx_binpoly *f = (fctx_binpoly *)ff; d = gf_sqr(d, x); |
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63 | return (gfreduce_do(&f->r, d, d)); |
64 | } |
65 | |
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66 | static mp *finv(field *ff, mp *d, mp *x) { |
67 | fctx_binpoly *f = (fctx_binpoly *)ff; |
68 | d = gf_modinv(d, x, f->r.p); |
69 | return (d); |
70 | } |
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71 | |
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72 | static mp *freduce(field *ff, mp *d, mp *x) { |
73 | fctx_binpoly *f = (fctx_binpoly *)ff; |
74 | return (gfreduce_do(&f->r, d, x)); |
75 | } |
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76 | |
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77 | static mp *fsqrt(field *ff, mp *d, mp *x) { |
78 | fctx_binpoly *f = (fctx_binpoly *)ff; |
79 | return (gfreduce_sqrt(&f->r, d, x)); |
80 | } |
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81 | |
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82 | static mp *fquadsolve(field *ff, mp *d, mp *x) { |
83 | fctx_binpoly *f = (fctx_binpoly *)ff; |
84 | return (gfreduce_quadsolve(&f->r, d, x)); |
85 | } |
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86 | |
87 | /* --- Field operations table --- */ |
88 | |
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89 | static const field_ops fops = { |
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90 | FTY_BINARY, "binpoly", |
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91 | fdestroy, frand, field_stdsamep, |
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92 | freduce, field_id, |
93 | fzerop, field_id, fadd, fadd, fmul, fsqr, finv, freduce, fsqrt, |
94 | fquadsolve, |
95 | 0, 0, 0, 0 |
96 | }; |
97 | |
98 | /* --- @field_binpoly@ --- * |
99 | * |
100 | * Arguments: @mp *p@ = the reduction polynomial |
101 | * |
102 | * Returns: A pointer to the field. |
103 | * |
104 | * Use: Creates a field structure for a binary field mod @p@. |
105 | */ |
106 | |
107 | field *field_binpoly(mp *p) |
108 | { |
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109 | fctx_binpoly *f = CREATE(fctx_binpoly); |
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110 | f->f.ops = &fops; |
111 | f->f.zero = MP_ZERO; |
112 | f->f.one = MP_ONE; |
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113 | f->f.nbits = mp_bits(p) - 1; |
114 | f->f.noctets = (f->f.nbits + 7) >> 3; |
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115 | gfreduce_create(&f->r, p); |
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116 | f->f.m = f->r.p; |
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117 | return (&f->f); |
118 | } |
119 | |
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120 | /*----- Normal basis ------------------------------------------------------*/ |
121 | |
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122 | /* --- Field operations --- */ |
123 | |
124 | static void fndestroy(field *ff) { |
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125 | fctx_binnorm *f = (fctx_binnorm *)ff; gfreduce_destroy(&f->f.r); |
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126 | gfn_destroy(&f->ntop); gfn_destroy(&f->pton); |
127 | DESTROY(f); |
128 | } |
129 | |
130 | static int fnsamep(field *ff, field *gg) { |
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131 | fctx_binnorm *f = (fctx_binnorm *)ff, *g = (fctx_binnorm *)gg; |
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132 | return (MP_EQ(f->ntop.r[0], g->ntop.r[0]) && field_stdsamep(ff, gg)); |
133 | } |
134 | |
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135 | static mp *fnin(field *ff, mp *d, mp *x) { |
136 | fctx_binnorm *f = (fctx_binnorm *)ff; |
137 | return (gfn_transform(&f->ntop, d, x)); |
138 | } |
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139 | |
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140 | static mp *fnout(field *ff, mp *d, mp *x) { |
141 | fctx_binnorm *f = (fctx_binnorm *)ff; |
142 | return (gfn_transform(&f->pton, d, x)); |
143 | } |
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144 | |
145 | /* --- Field operations table --- */ |
146 | |
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147 | static const field_ops fnops = { |
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148 | FTY_BINARY, "binnorm", |
149 | fndestroy, frand, fnsamep, |
150 | fnin, fnout, |
151 | fzerop, field_id, fadd, fadd, fmul, fsqr, finv, freduce, fsqrt, |
152 | fquadsolve, |
153 | 0, 0, 0, 0 |
154 | }; |
155 | |
156 | /* --- @field_binnorm@ --- * |
157 | * |
158 | * Arguments: @mp *p@ = the reduction polynomial |
159 | * @mp *beta@ = representation of normal point |
160 | * |
161 | * Returns: A pointer to the field. |
162 | * |
163 | * Use: Creates a field structure for a binary field mod @p@ which |
164 | * uses a normal basis representation externally. Computations |
165 | * are still done on a polynomial-basis representation. |
166 | */ |
167 | |
168 | field *field_binnorm(mp *p, mp *beta) |
169 | { |
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170 | fctx_binnorm *f = CREATE(fctx_binnorm); |
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171 | f->f.f.ops = &fnops; |
172 | f->f.f.zero = MP_ZERO; |
173 | f->f.f.one = MP_ONE; |
174 | f->f.f.nbits = mp_bits(p) - 1; |
175 | f->f.f.noctets = (f->f.f.nbits + 7) >> 3; |
176 | gfreduce_create(&f->f.r, p); |
177 | f->f.f.m = f->f.r.p; |
178 | gfn_create(p, beta, &f->ntop, &f->pton); |
179 | return (&f->f.f); |
180 | } |
181 | |
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182 | /*----- That's all, folks -------------------------------------------------*/ |