X-Git-Url: https://git.distorted.org.uk/u/mdw/catacomb/blobdiff_plain/ba6e6b64033b1f9de49feccb5c9cd438354481f7..0f00dc4c8eb47e67bc0f148c2dd109f73a451e0a:/math/f-prime.c

diff --git a/math/f-prime.c b/math/f-prime.c
new file mode 100644
index 0000000..d9c5c17
--- /dev/null
+++ b/math/f-prime.c
@@ -0,0 +1,176 @@
+/* -*-c-*-
+ *
+ * Prime fields with Montgomery arithmetic
+ *
+ * (c) 2001 Straylight/Edgeware
+ */
+
+/*----- Licensing notice --------------------------------------------------*
+ *
+ * This file is part of Catacomb.
+ *
+ * Catacomb is free software; you can redistribute it and/or modify
+ * 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.
+ */
+
+/*----- Header files ------------------------------------------------------*/
+
+#include <mLib/sub.h>
+
+#include "field.h"
+#include "mprand.h"
+#include "field-guts.h"
+
+/*----- Main code ---------------------------------------------------------*/
+
+/* --- Field operations --- */
+
+static void fdestroy(field *ff) {
+  fctx_prime *f = (fctx_prime *)ff;
+  mpmont_destroy(&f->mm);
+  DESTROY(f);
+}
+
+static mp *frand(field *ff, mp *d, grand *r) {
+  fctx_prime *f = (fctx_prime *)ff;
+  return (mprand_range(d, f->mm.m, r, 0));
+}
+
+static mp *fin(field *ff, mp *d, mp *x) {
+  fctx_prime *f = (fctx_prime *)ff;
+  mp_div(0, &d, x, f->mm.m);
+  return (mpmont_mul(&f->mm, d, d, f->mm.r2));
+}
+
+static mp *fout(field *ff, mp *d, mp *x) {
+  fctx_prime *f = (fctx_prime *)ff;
+  return (mpmont_reduce(&f->mm, d, x));
+}
+
+static int fzerop(field *ff, mp *x) { return (MP_ZEROP(x)); }
+
+static mp *fneg(field *ff, mp *d, mp *x) {
+  fctx_prime *f = (fctx_prime *)ff;
+  return (mp_sub(d, f->mm.m, x));
+}
+
+static mp *fadd(field *ff, mp *d, mp *x, mp *y) {
+  fctx_prime *f = (fctx_prime *)ff; d = mp_add(d, x, y);
+  if (MP_NEGP(d)) d = mp_add(d, d, f->mm.m);
+  else if (MP_CMP(d, >, f->mm.m)) d = mp_sub(d, d, f->mm.m);
+  return (d);
+}
+
+static mp *fsub(field *ff, mp *d, mp *x, mp *y) {
+  fctx_prime *f = (fctx_prime *)ff; d = mp_sub(d, x, y);
+  if (MP_NEGP(d)) d = mp_add(d, d, f->mm.m);
+  else if (MP_CMP(d, >, f->mm.m)) d = mp_sub(d, d, f->mm.m);
+  return (d);
+}
+
+static mp *fmul(field *ff, mp *d, mp *x, mp *y) {
+  fctx_prime *f = (fctx_prime *)ff;
+  return (mpmont_mul(&f->mm, d, x, y));
+}
+
+static mp *fsqr(field *ff, mp *d, mp *x) {
+  fctx_prime *f = (fctx_prime *)ff; d = mp_sqr(d, x);
+  return (mpmont_reduce(&f->mm, d, d));
+}
+
+static mp *finv(field *ff, mp *d, mp *x) {
+  fctx_prime *f = (fctx_prime *)ff; d = mpmont_reduce(&f->mm, d, x);
+  d = mp_modinv(d, d, f->mm.m); return (mpmont_mul(&f->mm, d, d, f->mm.r2));
+}
+
+static mp *freduce(field *ff, mp *d, mp *x) {
+  fctx_prime *f = (fctx_prime *)ff;
+  mp_div(0, &d, x, f->mm.m);
+  return (d);
+}
+
+static mp *fsqrt(field *ff, mp *d, mp *x) {
+  fctx_prime *f = (fctx_prime *)ff; d = mpmont_reduce(&f->mm, d, x);
+  d = mp_modsqrt(d, d, f->mm.m); if (!d) return (d);
+  return (mpmont_mul(&f->mm, d, d, f->mm.r2));
+}
+
+static mp *fdbl(field *ff, mp *d, mp *x) {
+  fctx_prime *f = (fctx_prime *)ff; d = mp_lsl(d, x, 1);
+  if (MP_CMP(d, >=, f->mm.m)) d = mp_sub(d, d, f->mm.m);
+  return (d);
+}
+
+static mp *ftpl(field *ff, mp *d, mp *x) {
+  fctx_prime *f = (fctx_prime *)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->mm.m)) d = mp_sub(d, d, f->mm.m);
+  return (d);
+}
+
+static mp *fqdl(field *ff, mp *d, mp *x) {
+  fctx_prime *f = (fctx_prime *)ff; d = mp_lsl(d, x, 2);
+  while (MP_CMP(d, >=, f->mm.m)) d = mp_sub(d, d, f->mm.m);
+  return (d);
+}
+
+static mp *fhlv(field *ff, mp *d, mp *x) {
+  fctx_prime *f = (fctx_prime *)ff;
+  if (MP_ZEROP(x)) { MP_COPY(x); MP_DROP(d); return (x); }
+  if (x->v[0] & 1) { d = mp_add(d, x, f->mm.m); x = d; }
+  return (mp_lsr(d, x, 1));
+}
+
+/* --- Field operations table --- */
+
+static const field_ops fops = {
+  FTY_PRIME, "prime",
+  fdestroy, frand, field_stdsamep,
+  fin, fout,
+  fzerop, fneg, fadd, fsub, fmul, fsqr, finv, freduce, fsqrt,
+  0,
+  fdbl, ftpl, fqdl, fhlv
+};
+
+/* --- @field_prime@ --- *
+ *
+ * Arguments:	@mp *p@ = the characteristic of the field
+ *
+ * Returns:	A pointer to the field or null.
+ *
+ * Use:		Creates a field structure for a prime field of size %$p$%,
+ *		using Montgomery reduction for arithmetic.
+ */
+
+field *field_prime(mp *p)
+{
+  fctx_prime *f;
+
+  f = CREATE(fctx_prime);
+  f->f.ops = &fops;
+  if (mpmont_create(&f->mm, p)) {
+    DESTROY(f);
+    return (0);
+  }
+  f->f.zero = MP_ZERO;
+  f->f.one = f->mm.r;
+  f->f.m = f->mm.m;
+  f->f.nbits = mp_bits(p);
+  f->f.noctets = (f->f.nbits + 7) >> 3;
+  f->f.q = f->mm.m;
+  return (&f->f);
+}
+
+/*----- That's all, folks -------------------------------------------------*/