X-Git-Url: https://git.distorted.org.uk/u/mdw/catacomb/blobdiff_plain/f46efa79cd2bb9adc81541f1218965f85a6b2eef..e564e3f84ad0ea42b78559c0bfe304893fd5e76b:/f-niceprime.c diff --git a/f-niceprime.c b/f-niceprime.c index c34e24e..83b9ca5 100644 --- a/f-niceprime.c +++ b/f-niceprime.c @@ -1,13 +1,13 @@ /* -*-c-*- * - * $Id: f-niceprime.c,v 1.1 2004/03/27 00:04:46 mdw Exp $ + * $Id$ * * Prime fields with efficient reduction for special-form primes * * (c) 2004 Straylight/Edgeware */ -/*----- Licensing notice --------------------------------------------------* +/*----- Licensing notice --------------------------------------------------* * * This file is part of Catacomb. * @@ -15,172 +15,119 @@ * it under the terms of the GNU Library General Public License as * published by the Free Software Foundation; either version 2 of the * License, or (at your option) any later version. - * + * * Catacomb is distributed in the hope that it will be useful, * but WITHOUT ANY WARRANTY; without even the implied warranty of * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * GNU Library General Public License for more details. - * + * * You should have received a copy of the GNU Library General Public * License along with Catacomb; if not, write to the Free * Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, * MA 02111-1307, USA. */ -/*----- Revision history --------------------------------------------------* - * - * $Log: f-niceprime.c,v $ - * Revision 1.1 2004/03/27 00:04:46 mdw - * Implement efficient reduction for pleasant-looking primes. - * - */ - /*----- Header files ------------------------------------------------------*/ #include #include "field.h" -#include "mpreduce.h" +#include "field-guts.h" #include "mprand.h" -/*----- Data structures ---------------------------------------------------*/ - -typedef struct fctx { - field f; - mpreduce r; -} fctx; - /*----- Main code ---------------------------------------------------------*/ /* --- Field operations --- */ -static void fdestroy(field *ff) -{ - fctx *f = (fctx *)ff; +static void fdestroy(field *ff) { + fctx_niceprime *f = (fctx_niceprime *)ff; mpreduce_destroy(&f->r); DESTROY(f); } -static mp *frand(field *ff, mp *d, grand *r) -{ - fctx *f = (fctx *)ff; +static mp *frand(field *ff, mp *d, grand *r) { + fctx_niceprime *f = (fctx_niceprime *)ff; return (mprand_range(d, f->r.p, r, 0)); } -static int fzerop(field *ff, mp *x) -{ - return (!MP_LEN(x)); -} +static int fzerop(field *ff, mp *x) { return (MP_ZEROP(x)); } -static mp *fneg(field *ff, mp *d, mp *x) -{ - fctx *f = (fctx *)ff; +static mp *fneg(field *ff, mp *d, mp *x) { + fctx_niceprime *f = (fctx_niceprime *)ff; return (mp_sub(d, f->r.p, x)); } -static mp *fadd(field *ff, mp *d, mp *x, mp *y) -{ - fctx *f = (fctx *)ff; - d = mp_add(d, x, y); - if (d->f & MP_NEG) - d = mp_add(d, d, f->r.p); - else if (MP_CMP(d, >, f->r.p)) - d = mp_sub(d, d, f->r.p); +static mp *fadd(field *ff, mp *d, mp *x, mp *y) { + fctx_niceprime *f = (fctx_niceprime *)ff; d = mp_add(d, x, y); + if (MP_NEGP(d)) d = mp_add(d, d, f->r.p); + else if (MP_CMP(d, >, f->r.p)) d = mp_sub(d, d, f->r.p); return (d); } -static mp *fsub(field *ff, mp *d, mp *x, mp *y) -{ - fctx *f = (fctx *)ff; - d = mp_sub(d, x, y); - if (d->f & MP_NEG) - d = mp_add(d, d, f->r.p); - else if (MP_CMP(d, >, f->r.p)) - d = mp_sub(d, d, f->r.p); +static mp *fsub(field *ff, mp *d, mp *x, mp *y) { + fctx_niceprime *f = (fctx_niceprime *)ff; d = mp_sub(d, x, y); + if (MP_NEGP(d)) d = mp_add(d, d, f->r.p); + else if (MP_CMP(d, >, f->r.p)) d = mp_sub(d, d, f->r.p); return (d); } -static mp *fmul(field *ff, mp *d, mp *x, mp *y) -{ - fctx *f = (fctx *)ff; - d = mp_mul(d, x, y); +static mp *fmul(field *ff, mp *d, mp *x, mp *y) { + fctx_niceprime *f = (fctx_niceprime *)ff; d = mp_mul(d, x, y); return (mpreduce_do(&f->r, d, d)); } -static mp *fsqr(field *ff, mp *d, mp *x) -{ - fctx *f = (fctx *)ff; - d = mp_sqr(d, x); +static mp *fsqr(field *ff, mp *d, mp *x) { + fctx_niceprime *f = (fctx_niceprime *)ff; d = mp_sqr(d, x); return (mpreduce_do(&f->r, d, d)); } -static mp *finv(field *ff, mp *d, mp *x) -{ - fctx *f = (fctx *)ff; - mp_gcd(0, 0, &d, f->r.p, x); +static mp *finv(field *ff, mp *d, mp *x) { + fctx_niceprime *f = (fctx_niceprime *)ff; + d = mp_modinv(d, x, f->r.p); return (d); } -static mp *freduce(field *ff, mp *d, mp *x) -{ - fctx *f = (fctx *)ff; +static mp *freduce(field *ff, mp *d, mp *x) { + fctx_niceprime *f = (fctx_niceprime *)ff; return (mpreduce_do(&f->r, d, x)); } -static mp *fsqrt(field *ff, mp *d, mp *x) -{ - fctx *f = (fctx *)ff; +static mp *fsqrt(field *ff, mp *d, mp *x) { + fctx_niceprime *f = (fctx_niceprime *)ff; return (mp_modsqrt(d, x, f->r.p)); } -static mp *fdbl(field *ff, mp *d, mp *x) -{ - fctx *f = (fctx *)ff; - d = mp_lsl(d, x, 1); - if (MP_CMP(d, >, f->r.p)) - d = mp_sub(d, d, f->r.p); +static mp *fdbl(field *ff, mp *d, mp *x) { + fctx_niceprime *f = (fctx_niceprime *)ff; d = mp_lsl(d, x, 1); + if (MP_CMP(d, >=, f->r.p)) d = mp_sub(d, d, f->r.p); return (d); } -static mp *ftpl(field *ff, mp *d, mp *x) -{ - fctx *f = (fctx *)ff; - MP_DEST(d, MP_LEN(x) + 1, x->f); - MPX_UMULN(d->v, d->vl, x->v, x->vl, 3); - while (MP_CMP(d, >, f->r.p)) - d = mp_sub(d, d, f->r.p); +static mp *ftpl(field *ff, mp *d, mp *x) { + fctx_niceprime *f = (fctx_niceprime *)ff; MP_DEST(d, MP_LEN(x) + 1, x->f); + MPX_UMULN(d->v, d->vl, x->v, x->vl, 3); d->f &= ~MP_UNDEF; + while (MP_CMP(d, >=, f->r.p)) d = mp_sub(d, d, f->r.p); return (d); } -static mp *fqdl(field *ff, mp *d, mp *x) -{ - fctx *f = (fctx *)ff; - d = mp_lsl(d, x, 2); - while (MP_CMP(d, >, f->r.p)) - d = mp_sub(d, d, f->r.p); +static mp *fqdl(field *ff, mp *d, mp *x) { + fctx_niceprime *f = (fctx_niceprime *)ff; d = mp_lsl(d, x, 2); + while (MP_CMP(d, >=, f->r.p)) d = mp_sub(d, d, f->r.p); return (d); } -static mp *fhlv(field *ff, mp *d, mp *x) -{ - fctx *f = (fctx *)ff; - if (!MP_LEN(x)) { - MP_COPY(x); - MP_DROP(d); - return (x); - } - if (x->v[0] & 1) { - d = mp_add(d, x, f->r.p); - x = d; - } +static mp *fhlv(field *ff, mp *d, mp *x) { + fctx_niceprime *f = (fctx_niceprime *)ff; + if (MP_ZEROP(x)) { MP_COPY(x); MP_DROP(d); return (x); } + if (x->v[0] & 1) { d = mp_add(d, x, f->r.p); x = d; } return (mp_lsr(d, x, 1)); } /* --- Field operations table --- */ -static field_ops fops = { +static const field_ops fops = { FTY_PRIME, "niceprime", - fdestroy, frand, + fdestroy, frand, field_stdsamep, freduce, field_id, fzerop, fneg, fadd, fsub, fmul, fsqr, finv, freduce, fsqrt, 0, @@ -191,7 +138,7 @@ static field_ops fops = { * * Arguments: @mp *p@ = the characteristic of the field * - * Returns: A pointer to the field. + * Returns: A pointer to the field, or null. * * Use: Creates a field structure for a prime field of size %$p$%, * using efficient reduction for nice primes. @@ -199,11 +146,18 @@ static field_ops fops = { field *field_niceprime(mp *p) { - fctx *f = CREATE(fctx); + fctx_niceprime *f = CREATE(fctx_niceprime); f->f.ops = &fops; f->f.zero = MP_ZERO; f->f.one = MP_ONE; - mpreduce_create(&f->r, p); + f->f.nbits = mp_bits(p); + f->f.noctets = (f->f.nbits + 7) >> 3; + if (mpreduce_create(&f->r, p)) { + DESTROY(f); + return (0); + } + f->f.m = f->r.p; + f->f.q = f->r.p; return (&f->f); }