/* -*-c-*-
*
- * $Id: f-niceprime.c,v 1.3 2004/04/01 12:50:09 mdw Exp $
+ * $Id: f-niceprime.c,v 1.5 2004/04/02 01:03:49 mdw Exp $
*
* Prime fields with efficient reduction for special-form primes
*
/*----- Revision history --------------------------------------------------*
*
* $Log: f-niceprime.c,v $
+ * Revision 1.5 2004/04/02 01:03:49 mdw
+ * Miscellaneous constification.
+ *
+ * Revision 1.4 2004/04/01 21:28:41 mdw
+ * Normal basis support (translates to poly basis internally). Rewrite
+ * EC and prime group table generators in awk, so that they can reuse data
+ * for repeated constants.
+ *
* Revision 1.3 2004/04/01 12:50:09 mdw
* Add cyclic group abstraction, with test code. Separate off exponentation
* functions for better static linking. Fix a buttload of bugs on the way.
#include "mpreduce.h"
#include "mprand.h"
-/*----- Data structures ---------------------------------------------------*/
+/*----- Main code ---------------------------------------------------------*/
typedef struct fctx {
field f;
mpreduce r;
} fctx;
-/*----- Main code ---------------------------------------------------------*/
-
/* --- Field operations --- */
static void fdestroy(field *ff)
-{
- fctx *f = (fctx *)ff;
- mpreduce_destroy(&f->r);
- DESTROY(f);
-}
+ { fctx *f = (fctx *)ff; mpreduce_destroy(&f->r); DESTROY(f); }
static mp *frand(field *ff, mp *d, grand *r)
-{
- fctx *f = (fctx *)ff;
- return (mprand_range(d, f->r.p, r, 0));
-}
+ { fctx *f = (fctx *)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_LEN(x)); }
static mp *fneg(field *ff, mp *d, mp *x)
-{
- fctx *f = (fctx *)ff;
- return (mp_sub(d, f->r.p, x));
-}
+ { fctx *f = (fctx *)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 *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);
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 *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);
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 *f = (fctx *)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 *f = (fctx *)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);
- return (d);
-}
+ { fctx *f = (fctx *)ff; mp_gcd(0, 0, &d, f->r.p, x); return (d); }
static mp *freduce(field *ff, mp *d, mp *x)
-{
- fctx *f = (fctx *)ff;
- return (mpreduce_do(&f->r, d, x));
-}
+ { fctx *f = (fctx *)ff; return (mpreduce_do(&f->r, d, x)); }
static mp *fsqrt(field *ff, mp *d, mp *x)
-{
- fctx *f = (fctx *)ff;
- return (mp_modsqrt(d, x, f->r.p));
-}
+ { fctx *f = (fctx *)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 *f = (fctx *)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);
+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);
+ 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 *f = (fctx *)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)
-{
+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;
- }
+ 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; }
return (mp_lsr(d, x, 1));
}
/* --- Field operations table --- */
-static field_ops fops = {
+static const field_ops fops = {
FTY_PRIME, "niceprime",
fdestroy, frand, field_stdsamep,
freduce, field_id,