| 1 | /* -*-c-*- |
| 2 | * |
| 3 | * Abstraction for prime groups |
| 4 | * |
| 5 | * (c) 2004 Straylight/Edgeware |
| 6 | */ |
| 7 | |
| 8 | /*----- Licensing notice --------------------------------------------------* |
| 9 | * |
| 10 | * This file is part of Catacomb. |
| 11 | * |
| 12 | * Catacomb is free software; you can redistribute it and/or modify |
| 13 | * it under the terms of the GNU Library General Public License as |
| 14 | * published by the Free Software Foundation; either version 2 of the |
| 15 | * License, or (at your option) any later version. |
| 16 | * |
| 17 | * Catacomb is distributed in the hope that it will be useful, |
| 18 | * but WITHOUT ANY WARRANTY; without even the implied warranty of |
| 19 | * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
| 20 | * GNU Library General Public License for more details. |
| 21 | * |
| 22 | * You should have received a copy of the GNU Library General Public |
| 23 | * License along with Catacomb; if not, write to the Free |
| 24 | * Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, |
| 25 | * MA 02111-1307, USA. |
| 26 | */ |
| 27 | |
| 28 | /*----- Header files ------------------------------------------------------*/ |
| 29 | |
| 30 | #include <mLib/sub.h> |
| 31 | |
| 32 | #include "mpmont.h" |
| 33 | #include "pgen.h" |
| 34 | |
| 35 | #define ge ge_bin |
| 36 | #include "group-guts.h" |
| 37 | |
| 38 | /*----- Main code ---------------------------------------------------------*/ |
| 39 | |
| 40 | /* --- Group operations --- */ |
| 41 | |
| 42 | static void gdestroygroup(group *gg) { |
| 43 | gctx_bin *g = (gctx_bin *)gg; |
| 44 | mp_drop(g->gen.x); mp_drop(g->g.r); mp_drop(g->g.h); |
| 45 | gfreduce_destroy(&g->r); |
| 46 | DESTROY(g); |
| 47 | } |
| 48 | |
| 49 | static ge_bin *gcreate(group *gg) { |
| 50 | gctx_bin *g = (gctx_bin *)gg; ge_bin *x = CREATE(ge_bin); |
| 51 | x->x = MP_COPY(g->one.x); return (x); |
| 52 | } |
| 53 | |
| 54 | static void gcopy(group *gg, ge_bin *d, ge_bin *x) |
| 55 | { mp *t = MP_COPY(x->x); MP_DROP(d->x); d->x = t; } |
| 56 | |
| 57 | static void gburn(group *gg, ge_bin *x) { x->x->f |= MP_BURN; } |
| 58 | |
| 59 | static void gdestroy(group *gg, ge_bin *x) { MP_DROP(x->x); DESTROY(x); } |
| 60 | |
| 61 | static int gsamep(group *gg, group *hh) { |
| 62 | gctx_bin *g = (gctx_bin *)gg, *h = (gctx_bin *)hh; |
| 63 | return (MP_EQ(g->r.p, h->r.p)); |
| 64 | } |
| 65 | |
| 66 | static int geq(group *gg, ge_bin *x, ge_bin *y) |
| 67 | { return (MP_EQ(x->x, y->x)); } |
| 68 | |
| 69 | static const char *gcheck(group *gg, grand *gr) { |
| 70 | gctx_bin *g = (gctx_bin *)gg; int rc; mp *t, *tt; |
| 71 | if (!gf_irreduciblep(g->r.p)) return ("p is not irreducible"); |
| 72 | t = mp_mul(MP_NEW, g->g.r, g->g.h); t = mp_add(t, t, MP_ONE); |
| 73 | tt = mp_lsl(MP_NEW, MP_ONE, g->g.nbits); |
| 74 | rc = MP_EQ(t, tt); MP_DROP(t); MP_DROP(tt); |
| 75 | if (!rc) return ("not a subgroup"); |
| 76 | return (group_stdcheck(gg, gr)); |
| 77 | } |
| 78 | |
| 79 | static void gmul(group *gg, ge_bin *d, ge_bin *x, ge_bin *y) { |
| 80 | gctx_bin *g = (gctx_bin *)gg; mp *r = gf_mul(d->x, x->x, y->x); |
| 81 | d->x = gfreduce_do(&g->r, r, r); |
| 82 | } |
| 83 | |
| 84 | static void gsqr(group *gg, ge_bin *d, ge_bin *x) { |
| 85 | gctx_bin *g = (gctx_bin *)gg; mp *r = gf_sqr(d->x, x->x); |
| 86 | d->x = gfreduce_do(&g->r, r, r); |
| 87 | } |
| 88 | |
| 89 | static void ginv(group *gg, ge_bin *d, ge_bin *x) |
| 90 | { gctx_bin *g = (gctx_bin *)gg; d->x = gf_modinv(d->x, x->x, g->r.p); } |
| 91 | |
| 92 | static void gexp(group *gg, ge_bin *d, ge_bin *x, mp *n) { |
| 93 | gctx_bin *g = (gctx_bin *)gg; |
| 94 | d->x = gfreduce_exp(&g->r, d->x, x->x, n); |
| 95 | } |
| 96 | |
| 97 | static int gread(group *gg, ge_bin *d, const mptext_ops *ops, void *p) { |
| 98 | mp *t; if ((t = mp_read(MP_NEW, 0, ops, p)) == 0) return (-1); |
| 99 | mp_drop(d->x); d->x = t; return (0); |
| 100 | } |
| 101 | |
| 102 | static int gwrite(group *gg, ge_bin *x, const mptext_ops *ops, void *p) { |
| 103 | int rc = -1; |
| 104 | if (!ops->put("0x", 2, p) && !mp_write(x->x, 16, ops, p)) rc = 0; |
| 105 | return (rc); |
| 106 | } |
| 107 | |
| 108 | static mp *gtoint(group *gg, mp *d, ge_bin *x) { return MP_COPY(x->x); } |
| 109 | |
| 110 | static int gfromint(group *gg, ge_bin *d, mp *x) |
| 111 | { d->x = MP_COPY(x); return 0; } |
| 112 | |
| 113 | static int gtobuf(group *gg, buf *b, ge_bin *x) |
| 114 | { int rc = buf_putmp(b, x->x); return (rc); } |
| 115 | |
| 116 | static int gfrombuf(group *gg, buf *b, ge_bin *d) { |
| 117 | gctx_bin *g = (gctx_bin *)gg; mp *x; |
| 118 | if ((x = buf_getmp(b)) == 0) return (-1); |
| 119 | MP_DROP(d->x); d->x = gfreduce_do(&g->r, x, x); |
| 120 | return (0); |
| 121 | } |
| 122 | |
| 123 | static int gtoraw(group *gg, buf *b, ge_bin *x) { |
| 124 | gctx_bin *g = (gctx_bin *)gg; octet *q; |
| 125 | if ((q = buf_get(b, g->g.noctets)) == 0) return (-1); |
| 126 | mp_storeb(x->x, q, g->g.noctets); return (0); |
| 127 | } |
| 128 | |
| 129 | static int gfromraw(group *gg, buf *b, ge_bin *d) { |
| 130 | gctx_bin *g = (gctx_bin *)gg; mp *x; octet *q; |
| 131 | if ((q = buf_get(b, g->g.noctets)) == 0) return (-1); |
| 132 | x = mp_loadb(MP_NEW, q, g->g.noctets); |
| 133 | MP_DROP(d->x); d->x = gfreduce_do(&g->r, x, x); |
| 134 | return (0); |
| 135 | } |
| 136 | |
| 137 | /* --- @group_binary@ --- * |
| 138 | * |
| 139 | * Arguments: @const gbin_param *gb@ = group parameters |
| 140 | * |
| 141 | * Returns: A pointer to the group, or null. |
| 142 | * |
| 143 | * Use: Constructs an abstract group interface for a subgroup of a |
| 144 | * prime field. Group elements are @mp *@ pointers. |
| 145 | */ |
| 146 | |
| 147 | static const group_ops gops = { |
| 148 | GTY_BINARY, "bin", |
| 149 | gdestroygroup, gcreate, gcopy, gburn, gdestroy, |
| 150 | gsamep, geq, group_stdidentp, |
| 151 | gcheck, |
| 152 | gmul, gsqr, ginv, group_stddiv, gexp, group_stdmexp, |
| 153 | gread, gwrite, |
| 154 | gtoint, gfromint, group_stdtoec, group_stdfromec, gtobuf, gfrombuf, |
| 155 | gtoraw, gfromraw |
| 156 | }; |
| 157 | |
| 158 | group *group_binary(const gbin_param *gb) |
| 159 | { |
| 160 | gctx_bin *g; |
| 161 | mp *t; |
| 162 | |
| 163 | if (!MP_POSP(gb->p)) |
| 164 | return (0); |
| 165 | g = CREATE(gctx_bin); |
| 166 | g->g.ops = &gops; |
| 167 | g->g.nbits = mp_bits(gb->p) - 1; |
| 168 | g->g.noctets = (g->g.nbits + 7) >> 3; |
| 169 | gfreduce_create(&g->r, gb->p); |
| 170 | g->one.x = MP_ONE; |
| 171 | g->g.i = &g->one; |
| 172 | g->gen.x = MP_COPY(gb->g); |
| 173 | g->g.g = &g->gen; |
| 174 | g->g.r = MP_COPY(gb->q); |
| 175 | t = mp_lsl(MP_NEW, MP_ONE, g->g.nbits); |
| 176 | t = mp_sub(t, t, MP_ONE); |
| 177 | g->g.h = MP_NEW; mp_div(&g->g.h, 0, t, gb->q); |
| 178 | MP_DROP(t); |
| 179 | return (&g->g); |
| 180 | } |
| 181 | |
| 182 | /*----- That's all, folks -------------------------------------------------*/ |