#include "cakit.h" static modp_args modp_getargs (id self) { modp_args args; args.p = [self modulus]; return args; } static int modp_size (modp_args args) { return 1; /* pointer increment */ } static int modp_bsize (modp_args args) { return sizeof (modp_c); /* bytes */ } static modp_t modp_id2t (id object) { return [object modp_value]; /* read-only */ } static modp_t modp_id2ref (id object, modp_c * ref) { return [object modp_value]; /* read-only, scratch space "ref" */ } static modp_c * modp_id2c (id object) { return [object modp_reference]; /* write for inplace arithmetic */ } static id modp_t2id (id proto, modp_t f) { return [proto modp_value:f]; /* new object containing copy of "f" */ } static id modp_c2id (id proto, modp_c * c) { return [proto modp_reference:c]; /* new object containing "c" */ } static modp_t modp_fromintvalue (int i, modp_args args) { modp_t red; if (i == 0) return 0; if (i < 0) { red = -i; red %= args.p; /* it's dangerous to % int & unsigned */ red = (red) ? args.p - red : 0; } else { red = i; red %= args.p; /* dito */ } return red; } static int modp_check (modp_t self, modp_args args) { assert (self < args.p); return 1; } static modp_t modp_zero (modp_args args) { return 0; } static modp_t modp_one (modp_args args) { return 1; } static unsigned modp_hash (modp_t a, modp_args args) { return a; } static int modp_iseq (modp_t a, modp_t b, modp_args args) { assert (modp_check (a, args) && modp_check (b, args)); return (a == b); } static int modp_isop (modp_t a, modp_t b, modp_args args) { assert (modp_check (a, args) && modp_check (b, args)); return (a == 0) ? (b == 0) : (a + b == args.p); } static int modp_iszero (modp_t a, modp_args args) { return a == 0; } static int modp_isone (modp_t a, modp_args args) { return a == 1; } static int modp_isminusone (modp_t a, modp_args args) { return (a + 1) == args.p; } static modp_t modp_neg (modp_t a, modp_args args) { assert (modp_check (a, args)); return (a) ? args.p - a : 0; } static modp_t modp_dbl (modp_t a, modp_args args) { modp_t c = a + a; assert (args.p != 2 && modp_check (a, args)); if (c) return (c < args.p) ? c : c - args.p; else return 0; } static modp_t modp_add (modp_t a, modp_t b, modp_args args) { modp_t c = a + b; assert (modp_check (a, args) && modp_check (b, args)); return ((c >= args.p) ? c - args.p : c); /* compiles better than c
= b) ? (a - b) : (args.p - (b - a)); } static modp_t modp_mul (modp_t a, modp_t b, modp_args args) { unsigned c = a * b; /* limitation to 16bits to be able to do this * russian peasant 50% slower */ assert (sizeof (unsigned) == 2 * sizeof (modp_t)); return c % args.p; } static modp_t modp_sqr (modp_t a, modp_args args) { unsigned c = a * a; assert (sizeof (unsigned) == 2 * sizeof (modp_t)); return c % args.p; } static modp_t modp_inv (modp_t x, modp_args args) { unsigned q, s; int u1, u2, us; /* intermediate values can be negative */ modp_t a, b, inv; assert (x != 0 && x != 1 && x + 1 != args.p); a = x; b = args.p; u1 = 1; u2 = 0; while (b) { s = a % b; q = a / b; a = b; b = s; u1 -= q * u2; us = u1; u1 = u2; u2 = us; } inv = ((u1 < 0) ? u1 + args.p : u1); /* keep result positive */ assert (modp_check (inv, args)); assert (modp_isone (modp_mul (x, inv, args), args)); return inv; } static modp_t modp_div (modp_t a, modp_t b, modp_args args) { assert (b != 0); return modp_mul (a, modp_inv (b, args), args); } static modp_t modp_pow (modp_t a, int n, modp_args args) { modp_t o; if (n == 0) return modp_one (args); if (n == 1) return a; if (n == 2) return modp_sqr (a, args); o = modp_one (args); while (n > 1) { if (n & 1) o = modp_mul (o, a, args); a = modp_sqr (a, args); n >>= 1; } return modp_mul (o, a, args); } #if !modp_isvalue #error "modp_copy_val.fab should not be included" #endif static void modp_clear (modp_c * c, modp_args args) { /* nothing to clear, but the following might help... */ #ifndef DEBUG *c = (modp_t) 0xcafebabe; #endif } static void modp_copy (modp_c * c, modp_t a, modp_args args) { *c = a; } static void modp_deepcopy (modp_c * c, modp_t a, modp_args args) { *c = a; } static void modp_move (modp_c * c, modp_c * a, modp_args args) { *c = *a; #ifndef DEBUG *a = (modp_t) 0xcafebabe; #endif } #if !modp_isvalue #error "modp_add_val.fab should not be included" #endif static void modp_oozero (modp_c * c, modp_args args) { *c = modp_zero (args); } static void modp_inzero (modp_c * a, modp_args args) { *a = modp_zero (args); } static void modp_inneg (modp_c * a, modp_args args) { *a = modp_neg (*a, args); } static void modp_ooneg (modp_c * c, modp_t a, modp_args args) { *c = modp_neg (a, args); } static modp_t modp_dblv (modp_t a, int v, modp_args args) { modp_t c = modp_dbl (a, args); return (v == +1) ? c : modp_neg (c, args); } static void modp_indbl (modp_c * a, int v, modp_args args) { *a = modp_dblv (*a, v, args); } static void modp_oodbl (modp_c * c, modp_t a, int v, modp_args args) { *c = modp_dblv (a, v, args); } static modp_t modp_addvw (modp_t a, int v, modp_t b, int w, modp_args args) { modp_t c; assert (v * v == +1 && w * w == 1); if (v == +1) { if (w == +1) { c = modp_add (a, b, args); } else { c = modp_sub (a, b, args); } } else { if (w == +1) { c = modp_sub (b, a, args); } else { c = modp_neg (modp_add (a, b, args), args); } } return c; } static void modp_inadd (modp_c * a, int v, modp_t b, int w, modp_args args) { *a = modp_addvw (*a, v, b, w, args); } static void modp_ooadd (modp_c * c, modp_t a, int v, modp_t b, int w, modp_args args) { *c = modp_addvw (a, v, b, w, args); } #if !modp_isvalue #error "modp_mul_val.fab should not be included" #endif static void modp_insqr (modp_c * a, modp_args args) { *a = modp_sqr (*a, args); } static void modp_oosqr (modp_c * c, modp_t a, modp_args args) { *c = modp_sqr (a, args); } static void modp_inmul (modp_c * a, modp_t b, modp_args args) { *a = modp_mul (*a, b, args); } static void modp_oomul (modp_c * c, modp_t a, modp_t b, modp_args args) { *c = modp_mul (a, b, args); } #if !modp_isvalue #error "modp_inv_val.fab should not be included" #endif static void modp_ininv (modp_c * a, modp_args args) { *a = modp_inv (*a, args); } static void modp_ooinv (modp_c * c, modp_t a, modp_args args) { *c = modp_inv (a, args); } #if !modp_isvalue #error "modp_div_val.fab should not be included" #endif static void modp_indiv (modp_c * a, modp_t b, modp_args args) { *a = modp_div (*a, b, args); } static BOOL modp_oodiv (modp_c * c, modp_t a, modp_t b, modp_args args) { *c = modp_div (a, b, args); return SUCCESS; } #if !modp_isvalue #error "modp_add_val.fab should not be included" #endif static modp_t modp_mulv (modp_t a, modp_t b, int v, modp_args args) { modp_t c = modp_mul (a, b, args); return (v == +1) ? c : modp_neg (c, args); } static void modp_inmulv (modp_c * a, modp_t b, int v, modp_args args) { *a = modp_mulv (*a, b, v, args); } static void modp_oomulv (modp_c * c, modp_t a, modp_t b, int v, modp_args args) { *c = modp_mulv (a, b, v, args); } static modp_t modp_addmul (modp_t a, int v, modp_t b, modp_t s, int w, modp_args args) { return modp_addvw (a, v, modp_mul (b, s, args), w, args); } static modp_t modp_addsqr (modp_t a, int v, modp_t b, int w, modp_args args) { return modp_addvw (a, v, modp_sqr (b, args), w, args); } static modp_t modp_muladd (modp_t a, modp_t s, int v, modp_t b, int w, modp_args args) { return modp_addvw (modp_mul (a, s, args), v, b, w, args); } static modp_t modp_muladdmul (modp_t a, modp_t s, int v, modp_t b, modp_t t, int w, modp_args args) { return modp_addvw (modp_mul (a, s, args), v, modp_mul (b, t, args), w, args); } static void modp_inaddmul (modp_c * a, int v, modp_t b, modp_t t, int w, modp_args args) { *a = modp_addmul (*a, v, b, t, w, args); } static void modp_ooaddmul (modp_c * c, modp_t a, int v, modp_t b, modp_t t, int w, modp_args args) { *c = modp_addmul (a, v, b, t, w, args); } static void modp_inaddsqr (modp_c * a, int v, modp_t b, int w, modp_args args) { *a = modp_addsqr (*a, v, b, w, args); } static void modp_ooaddsqr (modp_c * c, modp_t a, int v, modp_t b, int w, modp_args args) { *c = modp_addsqr (a, v, b, w, args); } static void modp_inmuladd (modp_c * a, modp_t s, int v, modp_t b, int w, modp_args args) { *a = modp_muladd (*a, s, v, b, w, args); } static void modp_oomuladd (modp_c * c, modp_t a, modp_t s, int v, modp_t b, int w, modp_args args) { *c = modp_muladd (a, s, v, b, w, args); } static void modp_inmuladdmul (modp_c * a, modp_t s, int v, modp_t b, modp_t t, int w, modp_args args) { *a = modp_muladdmul (*a, s, v, b, t, w, args); } static void modp_oomuladdmul (modp_c * c, modp_t a, modp_t s, int v, modp_t b, modp_t t, int w, modp_args args) { *c = modp_muladdmul (a, s, v, b, t, w, args); } static void modp_args_fileOut (id aFiler, modp_args * args) { } static void modp_args_fileIn (id aFiler, modp_args * args) { } static void modp_fileOut (id aFiler, modp_c * c, modp_args args) { [aFiler fileOut:c type:'S']; } static void modp_fileIn (id aFiler, modp_c * c, modp_args args) { [aFiler fileIn:c type:'S']; } /* * Computer Algebra Kit (c) 1993,00 by Comp.Alg.Objects. All Rights Reserved. * $Id: mdrdpolc.m,v 1.6 2000/10/12 14:40:26 stes Exp $ */ /* * This library 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. * * This program 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 this program; if not, write to the Free Software * Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA. */ static int unimonom_size (unimonom_args args) { return 1; } static int unimonom_bsize (unimonom_args args) { return sizeof (unimonom_t); } static int unimonom_check (unimonom_t self, unimonom_args args) { assert (self >= 0); return 1; } static void unimonom_clear (unimonom_c * c, unimonom_args args) { /* nothing to clear, but the following might help... */ #ifndef DEBUG *c = (unimonom_t) 0xcafebabe; #endif } static void unimonom_copy (unimonom_c * c, unimonom_t a, unimonom_args args) { *c = a; } static void unimonom_move (unimonom_c * c, unimonom_c * a, unimonom_args args) { *c = *a; #ifndef DEBUG *a = (unimonom_t) 0xcafebabe; #endif } static void unimonom_args_fileOut (id aFiler, unimonom_args * args) { } static void unimonom_args_fileIn (id aFiler, unimonom_args * args) { } static void unimonom_fileOut (id aFiler, unimonom_c * c, unimonom_args args) { [aFiler fileOut:c type:'i']; } static void unimonom_fileIn (id aFiler, unimonom_c * c, unimonom_args args) { [aFiler fileIn:c type:'i']; } static unsigned unimonom_hash (unimonom_t self, unimonom_args args) { return self; } static int unimonom_deg (unimonom_t self, unimonom_args args) { return self; } static int unimonom_isone (unimonom_t self, unimonom_args args) { return self == 0; } static int unimonom_iseq (unimonom_t a, unimonom_t b, unimonom_args args) { return a == b; } static int unimonom_iseqmul (unimonom_t a, unimonom_t x, unimonom_t b, unimonom_args args) { return a == x + b; } static int unimonom_cmp (unimonom_t a, unimonom_t b, unimonom_args args) { return a - b; } static int unimonom_cmpmul (unimonom_t a, unimonom_t x, unimonom_t b, unimonom_args args) { return a - x - b; } static void unimonom_oomul (unimonom_c * c, unimonom_t a, unimonom_t b, unimonom_args args) { *c = a + b; } static void unimonom_inmul (unimonom_c * c, unimonom_t b, unimonom_args args) { *c += b; } static BOOL unimonom_oodiv (unimonom_c * c, unimonom_t a, unimonom_t b, unimonom_args args) { if (a < b) { return FAILURE; } else { *c = a - b; return SUCCESS; } } static void unimonom_indiv (unimonom_c * c, unimonom_t b, unimonom_args args) { if (*c < b) { fprintf (stderr, "Division not Exact\n"); abort (); } /* should stay */ *c -= b; } #if modp_pervalue static modp_t modpseq_tval (modpseq_t self) { return *self; } static modp_c * modpseq_cval (modpseq_t self) { return self; } #else static modp_t modpseq_tval (modpseq_t self) { return self; } static modp_c * modpseq_cval (modpseq_t self) { return self; } #endif static int modpseq_check (modpseq_t self, int n, modp_args args) { while (n--) { modp_check (modpseq_tval (self), args); self += modp_size (args); } return 1; } static modpseq_t modpseq_alloc (int n, modp_args args) { modpseq_t p; int m = n * modp_bsize (args); #if OBJC_REFCNT p = (modpseq_t) OC_Calloc (m); #else p = (modpseq_t) OC_Malloc (m); #endif return p; } static modpseq_t modpseq_realloc (modpseq_t self, int oldc, int n, modp_args args) { modpseq_t p; int m = n * modp_bsize (args); p = (modpseq_t) OC_Realloc (self, m); #if OBJC_REFCNT assert (oldc <= n); memset (p + oldc, 0, (n - oldc) * modp_bsize (args)); #endif return p; } static modpseq_t modpseq_free (modpseq_t self, modp_args args) { OC_Free (self); return NULL; } static void modpseq_oozero (modpseq_t c, int n, modp_args args) { while (n--) { modp_oozero (modpseq_cval (c), args); c += modp_size (args); } } static void modpseq_copy (modpseq_t c, modpseq_t a, int n, modp_args args) { assert (n >= 0); while (n--) { modp_copy (modpseq_cval (c), modpseq_tval (a), args); c += modp_size (args); a += modp_size (args); } } static void modpseq_deepcopy (modpseq_t c, modpseq_t a, int n, modp_args args) { assert (n >= 0); while (n--) { modp_deepcopy (modpseq_cval (c), modpseq_tval (a), args); c += modp_size (args); a += modp_size (args); } } #if modp_isvalue static void modpseq_clear (modpseq_t self, int n, modp_args args) { /* nothing to clear */ } #else static void modpseq_clear (modpseq_t self, int n, modp_args args) { while (n--) { modp_clear (self, args); self += modp_size (args); } } #endif /* modp_isvalue */ static int modpseq_iseq (modpseq_t a, modpseq_t b, int n, modp_args args) { assert (n >= 0 && a != b); while (n--) { if (!modp_iseq (modpseq_tval (a), modpseq_tval (b), args)) { return 0; } else { a += modp_size (args); b += modp_size (args); } } return 1; } static unsigned modpseq_hash (modpseq_t a, int n, modp_args args) { assert (n >= 0); return (n) ? modp_hash (modpseq_tval (a), args) : 0; } static void modpseq_place (modpseq_t self, modp_t a, int i, modp_args args) { modp_c *c = modpseq_cval (self + i * modp_size (args)); modp_clear (c, args); modp_copy (c, a, args); } static int modpseq_insertlast (modpseq_t self, modp_t a, int n, modp_args args) { modp_c *c; assert (n >= 0); c = modpseq_cval (self + n * modp_size (args)); modp_copy (c, a, args); return ++n; } static int modpseq_insertfirst (modpseq_t self, modp_t a, int n, modp_args args) { int j; assert (n > 0); self += n * modp_size (args); j = n; while (j--) { modpseq_t t; t = self - modp_size (args); modp_move (modpseq_cval (self), modpseq_cval (t), args); self = t; } modp_copy (modpseq_cval (self), a, args); return ++n; } static int modpseq_insertat (modpseq_t self, modp_t a, int i, int n, modp_args args) { assert (0 <= i && i < n); self += i * modp_size (args); return i + modpseq_insertfirst (self, a, n - i, args); } static int modpseq_freelast (modpseq_t self, int n, modp_args args) { modp_c *c; assert (0 < n); --n; c = modpseq_cval (self + n * modp_size (args)); modp_clear (c, args); return n; } static int modpseq_freefirst (modpseq_t self, int n, modp_args args) { int j; assert (0 < n); modp_clear (modpseq_cval (self), args); --n; j = n; while (j--) { modpseq_t t; t = self + modp_size (args); modp_move (modpseq_cval (self), modpseq_cval (t), args); self = t; } return n; } static int modpseq_freeat (modpseq_t self, int i, int n, modp_args args) { assert (0 <= i && i < n); self += i * modp_size (args); return i + modpseq_freefirst (self, n - i, args); } static modp_t modpseq_at (modpseq_t self, int i, modp_args args) { modp_t res; assert (0 <= i); res = modpseq_tval (self + i * modp_size (args)); assert (modp_check (res, args)); return res; } static modp_t modpseq_last (modpseq_t self, int n, modp_args args) { return modpseq_at (self, n - 1, args); } static modp_c * modpseq_cvalat (modpseq_t self, int i, modp_args args) { assert (0 <= i); return modpseq_cval (self + i * modp_size (args)); } static int modpseq_iszero (modpseq_t a, int n, modp_args args) { assert (n >= 0); while (n--) { if (modp_iszero (modpseq_tval (a), args)) { a += modp_size (args); } else { return 0; } } return 1; } static int modpseq_isop (modpseq_t a, modpseq_t b, int n, modp_args args) { assert (n >= 0 && a != b); while (n--) { if (!modp_isop (modpseq_tval (a), modpseq_tval (b), args)) { return 0; } else { a += modp_size (args); b += modp_size (args); } } return 1; } static void modpseq_ooneg (modpseq_t c, modpseq_t a, int n, modp_args args) { assert (n >= 0); while (n--) { modp_ooneg (modpseq_cval (c), modpseq_tval (a), args); c += modp_size (args); a += modp_size (args); } } static void modpseq_inneg (modpseq_t a, int n, modp_args args) { assert (n >= 0); while (n--) { modp_inneg (modpseq_cval (a), args); a += modp_size (args); } } static void modpseq_oonegv (modpseq_t c, modpseq_t a, int v, int n, modp_args args) { assert (v * v == 1); if (v == -1) modpseq_ooneg (c, a, n, args); else modpseq_copy (c, a, n, args); } static void modpseq_innegv (modpseq_t a, int v, int n, modp_args args) { assert (v * v == 1); if (v == -1) modpseq_inneg (a, n, args); } static void modpseq_oodbl (modpseq_t c, modpseq_t a, int v, int n, modp_args args) { assert (n >= 0 && v * v == 1); while (n--) { modp_oodbl (modpseq_cval (c), modpseq_tval (a), v, args); c += modp_size (args); a += modp_size (args); } } static void modpseq_indbl (modpseq_t a, int v, int n, modp_args args) { assert (n >= 0 && v * v == 1); while (n--) { modp_indbl (modpseq_cval (a), v, args); a += modp_size (args); } } static void modpseq_ooadd (modpseq_t c, modpseq_t a, int v, modpseq_t b, int w, int n, modp_args args) { assert (n >= 0 && a != b && v * v == 1 && w * w == 1); while (n--) { modp_ooadd (modpseq_cval (c), modpseq_tval (a), v, modpseq_tval (b), w, args); c += modp_size (args); a += modp_size (args); b += modp_size (args); } } static void modpseq_inadd (modpseq_t a, int v, modpseq_t b, int w, int n, modp_args args) { assert (n >= 0 && a != b && v * v == 1 && w * w == 1); while (n--) { modp_inadd (modpseq_cval (a), v, modpseq_tval (b), w, args); a += modp_size (args); b += modp_size (args); } } static void modpseq_oomulsc (modpseq_t c, modpseq_t a, modp_t s, int n, modp_args args) { assert (n >= 0); while (n--) { modp_oomul (modpseq_cval (c), modpseq_tval (a), s, args); c += modp_size (args); a += modp_size (args); } } static void modpseq_inmulsc (modpseq_t a, modp_t s, int n, modp_args args) { assert (n >= 0); while (n--) { modp_inmul (modpseq_cval (a), s, args); a += modp_size (args); } } static void modpseq_oomulscv (modpseq_t c, modpseq_t a, modp_t s, int v, int n, modp_args args) { assert (n >= 0 && v * v == 1); while (n--) { modp_oomulv (modpseq_cval (c), modpseq_tval (a), s, v, args); c += modp_size (args); a += modp_size (args); } } static void modpseq_inmulscv (modpseq_t a, modp_t s, int v, int n, modp_args args) { assert (n >= 0 && v * v == 1); while (n--) { modp_inmulv (modpseq_cval (a), s, v, args); a += modp_size (args); } } static void modpseq_ooaddmulsc (modpseq_t c, modpseq_t a, int v, modpseq_t b, modp_t t, int w, int n, modp_args args) { assert (n >= 0 && v * v == 1 && w * w == 1); while (n--) { modp_ooaddmul (modpseq_cval (c), modpseq_tval (a), v, modpseq_tval (b), t, w, args); a += modp_size (args); b += modp_size (args); c += modp_size (args); } } static void modpseq_oomulscadd (modpseq_t c, modpseq_t a, modp_t s, int v, modpseq_t b, int w, int n, modp_args args) { assert (n >= 0 && v * v == 1 && w * w == 1); while (n--) { modp_oomuladd (modpseq_cval (c), modpseq_tval (a), s, v, modpseq_tval (b), w, args); a += modp_size (args); b += modp_size (args); c += modp_size (args); } } static void modpseq_oomulscaddmulsc (modpseq_t c, modpseq_t a, modp_t s, int v, modpseq_t b, modp_t t, int w, int n, modp_args args) { assert (n >= 0 && v * v == 1 && w * w == 1); while (n--) { modp_oomuladdmul (modpseq_cval (c), modpseq_tval (a), s, v, modpseq_tval (b), t, w, args); a += modp_size (args); b += modp_size (args); c += modp_size (args); } } static void modpseq_inaddmulsc (modpseq_t a, int v, modpseq_t b, modp_t t, int w, int n, modp_args args) { assert (n >= 0 && v * v == 1 && w * w == 1); while (n--) { modp_inaddmul (modpseq_cval (a), v, modpseq_tval (b), t, w, args); a += modp_size (args); b += modp_size (args); } } static void modpseq_inmulscadd (modpseq_t a, modp_t s, int v, modpseq_t b, int w, int n, modp_args args) { assert (n >= 0 && v * v == 1 && w * w == 1); while (n--) { modp_inmuladd (modpseq_cval (a), s, v, modpseq_tval (b), w, args); a += modp_size (args); b += modp_size (args); } } static void modpseq_inmulscaddmulsc (modpseq_t a, modp_t s, int v, modpseq_t b, modp_t t, int w, int n, modp_args args) { assert (n >= 0 && v * v == 1 && w * w == 1); while (n--) { modp_inmuladdmul (modpseq_cval (a), s, v, modpseq_tval (b), t, w, args); a += modp_size (args); b += modp_size (args); } } static BOOL modpseq_oodivsc (modpseq_t c, modpseq_t a, modp_t s, int n, modp_args args) { int i; BOOL failed; modpseq_t orgc = c; assert (n >= 0); for (i = 0; i < n; i++) { failed = modp_oodiv (modpseq_cval (c), modpseq_tval (a), s, args); if (failed) { modpseq_clear (orgc, i - 1, args); return FAILURE; } else { c += modp_size (args); a += modp_size (args); } } return SUCCESS; } static void modpseq_indivsc (modpseq_t a, modp_t s, int n, modp_args args) { assert (n >= 0); while (n--) { modp_indiv (modpseq_cval (a), s, args); a += modp_size (args); } } static void modpseq_oodotsqr (modp_c * c, modpseq_t a, int n, modp_args args) { assert (n >= 0); modp_oozero (c, args); while (n--) { modp_inaddsqr (c, +1, modpseq_tval (a), +1, args); a += modp_size (args); } } static void modpseq_oodotmul (modp_c * c, modpseq_t a, modpseq_t b, int n, modp_args args) { assert (n >= 0); modp_oozero (c, args); while (n--) { modp_inaddmul (c, +1, modpseq_tval (a), modpseq_tval (b), +1, args); a += modp_size (args); b += modp_size (args); } } static void modpseq_args_fileOut (id aFiler, modp_args * args) { modp_args_fileOut (aFiler, args); } static void modpseq_args_fileIn (id aFiler, modp_args * args) { modp_args_fileIn (aFiler, args); } static void modpseq_fileOut (id aFiler, modpseq_t self, int n, modp_args args) { assert (n >= 0); while (n--) { modp_fileOut (aFiler, modpseq_cval (self), args); self += modp_size (args); } } static void modpseq_fileIn (id aFiler, modpseq_t self, int n, modp_args args) { assert (n >= 0); while (n--) { modp_fileIn (aFiler, modpseq_cval (self), args); self += modp_size (args); } } static int modp_vardnsrecdegdnspolseq_check (modp_vardnsrecdegdnspolseq_t self, int n, modp_vardnsrecdegdnspol_args args) { if (n) { modp_t lcf = modpseq_last (self, n, args.sargs); assert (!modp_iszero (lcf, args.sargs)); } return modpseq_check (self, n, args.sargs); } static int modp_vardnsrecdegdnspolseq_copy (modp_vardnsrecdegdnspolseq_t c, modp_vardnsrecdegdnspolseq_t a, int n, modp_vardnsrecdegdnspol_args args) { modpseq_copy (c, a, n, args.sargs); return n; } static int modp_vardnsrecdegdnspolseq_deepcopy (modp_vardnsrecdegdnspolseq_t c, modp_vardnsrecdegdnspolseq_t a, int n, modp_vardnsrecdegdnspol_args args) { modpseq_deepcopy (c, a, n, args.sargs); return n; } static int modp_vardnsrecdegdnspolseq_count (modp_vardnsrecdegdnspolseq_t self, int n, modp_vardnsrecdegdnspol_args args) { int count = 0; while (n--) { if (!modp_iszero (modpseq_tval (self), args.sargs)) count++; self += modp_size (args.sargs); } return count; } static int modp_vardnsrecdegdnspolseq_ord (modp_vardnsrecdegdnspolseq_t self, int n, modp_vardnsrecdegdnspol_args args) { int ord = -1; while (n--) { if (modp_iszero (modpseq_tval (self), args.sargs)) { ord++; self += modp_size (args.sargs); } else { break; } } return ord; } static int modp_vardnsrecdegdnspolseq_iseq (modp_vardnsrecdegdnspolseq_t a, int an, modp_vardnsrecdegdnspolseq_t b, int bn, modp_vardnsrecdegdnspol_args args) { return (an == bn) ? modpseq_iseq (a, b, an, args.sargs) : 0; } static int modp_vardnsrecdegdnspolseq_isop (modp_vardnsrecdegdnspolseq_t a, int an, modp_vardnsrecdegdnspolseq_t b, int bn, modp_vardnsrecdegdnspol_args args) { return (an == bn) ? modpseq_isop (a, b, an, args.sargs) : 0; } static int modp_vardnsrecdegdnspolseq_hash (modp_vardnsrecdegdnspolseq_t a, int an, modp_vardnsrecdegdnspol_args args) { return modpseq_hash (a, an, args.sargs); } static int modp_vardnsrecdegdnspolseq_isone (modp_vardnsrecdegdnspolseq_t a, int an, modp_vardnsrecdegdnspol_args args) { return an == 1 && modp_isone (modpseq_tval (a), args.sargs); } static int modp_vardnsrecdegdnspolseq_isminusone (modp_vardnsrecdegdnspolseq_t a, int an, modp_vardnsrecdegdnspol_args args) { return an == 1 && modp_isminusone (modpseq_tval (a), args.sargs); } static int modp_vardnsrecdegdnspolseq_removezeroes (modp_vardnsrecdegdnspolseq_t a, int n, modp_vardnsrecdegdnspol_args args) { a += n * modp_size (args.sargs); while (n--) { a -= modp_size (args.sargs); if (modp_iszero (modpseq_tval (a), args.sargs)) { modp_clear (modpseq_cval (a), args.sargs); } else { break; } } return n + 1; } static int modp_vardnsrecdegdnspolseq_delete (modp_vardnsrecdegdnspolseq_t self, int n, modp_vardnsrecdegdnspol_args args) { n = n - 1; assert (n >= 0); modp_clear (modpseq_cvalat (self, n, args.sargs), args.sargs); return modp_vardnsrecdegdnspolseq_removezeroes (self, n, args); } static int modp_vardnsrecdegdnspolseq_insert (modp_vardnsrecdegdnspolseq_t self, int n, int e, modp_t s, modp_vardnsrecdegdnspol_args args) { assert (modp_iszero (s, args.sargs) == 0); if (e < n) { modp_inadd (modpseq_cvalat (self, e, args.sargs), +1, s, +1, args.sargs); return modp_vardnsrecdegdnspolseq_removezeroes (self, n, args); } else { modpseq_oozero (self + n * modp_size (args.sargs), e + 1 - n, args.sargs); modp_inadd (modpseq_cvalat (self, e, args.sargs), +1, s, +1, args.sargs); return e + 1; } } static int modp_vardnsrecdegdnspolseq_ooneg (modp_vardnsrecdegdnspolseq_t c, modp_vardnsrecdegdnspolseq_t a, int n, modp_vardnsrecdegdnspol_args args) { modpseq_ooneg (c, a, n, args.sargs); return n; } static int modp_vardnsrecdegdnspolseq_inneg (modp_vardnsrecdegdnspolseq_t a, int n, modp_vardnsrecdegdnspol_args args) { modpseq_inneg (a, n, args.sargs); return n; } static int modp_vardnsrecdegdnspolseq_oodbl (modp_vardnsrecdegdnspolseq_t c, modp_vardnsrecdegdnspolseq_t a, int n, int v, modp_vardnsrecdegdnspol_args args) { modpseq_oodbl (c, a, v, n, args.sargs); return modp_vardnsrecdegdnspolseq_removezeroes (c, n, args); } static int modp_vardnsrecdegdnspolseq_indbl (modp_vardnsrecdegdnspolseq_t a, int n, int v, modp_vardnsrecdegdnspol_args args) { modpseq_indbl (a, v, n, args.sargs); return modp_vardnsrecdegdnspolseq_removezeroes (a, n, args); } static int modp_vardnsrecdegdnspolseq_ooadd (modp_vardnsrecdegdnspolseq_t c, modp_vardnsrecdegdnspolseq_t a, int an, int v, modp_vardnsrecdegdnspolseq_t b, int bn, int w, modp_vardnsrecdegdnspol_args args) { assert (v * v == 1 && w * w == 1); if (an == bn) { modpseq_ooadd (c, a, v, b, w, an, args.sargs); return modp_vardnsrecdegdnspolseq_removezeroes (c, an, args); } else { if (an < bn) { modpseq_ooadd (c, a, v, b, w, an, args.sargs); c += an * modp_size (args.sargs); b += an * modp_size (args.sargs); modpseq_oonegv (c, b, w, bn - an, args.sargs); return bn; } else { modpseq_ooadd (c, a, v, b, w, bn, args.sargs); c += bn * modp_size (args.sargs); a += bn * modp_size (args.sargs); modpseq_oonegv (c, a, v, an - bn, args.sargs); return an; } } } static int modp_vardnsrecdegdnspolseq_inadd (modp_vardnsrecdegdnspolseq_t a, int an, int v, modp_vardnsrecdegdnspolseq_t b, int bn, int w, modp_vardnsrecdegdnspol_args args) { assert (v * v == 1 && w * w == 1); if (an == bn) { modpseq_inadd (a, v, b, w, an, args.sargs); return modp_vardnsrecdegdnspolseq_removezeroes (a, an, args); } else { if (an < bn) { modpseq_inadd (a, v, b, w, an, args.sargs); a += an * modp_size (args.sargs); b += an * modp_size (args.sargs); modpseq_oonegv (a, b, w, bn - an, args.sargs); return bn; } else { modpseq_inadd (a, v, b, w, bn, args.sargs); a += bn * modp_size (args.sargs); modpseq_innegv (a, v, an - bn, args.sargs); return an; } } } static int modp_vardnsrecdegdnspolseq_oomulsc (modp_vardnsrecdegdnspolseq_t c, modp_vardnsrecdegdnspolseq_t a, int n, modp_t s, modp_vardnsrecdegdnspol_args args) { modpseq_oomulsc (c, a, s, n, args.sargs); return modp_vardnsrecdegdnspolseq_removezeroes (c, n, args); } static int modp_vardnsrecdegdnspolseq_inmulsc (modp_vardnsrecdegdnspolseq_t a, int n, modp_t s, modp_vardnsrecdegdnspol_args args) { modpseq_inmulsc (a, s, n, args.sargs); return modp_vardnsrecdegdnspolseq_removezeroes (a, n, args); } static int modp_vardnsrecdegdnspolseq_ooaddmulsc (modp_vardnsrecdegdnspolseq_t c, modp_vardnsrecdegdnspolseq_t a, int an, int v, modp_vardnsrecdegdnspolseq_t b, int bn, modp_t t, int w, modp_vardnsrecdegdnspol_args args) { assert (v * v == 1 && w * w == 1); if (an == bn) { modpseq_ooaddmulsc (c, a, v, b, t, w, an, args.sargs); return modp_vardnsrecdegdnspolseq_removezeroes (c, an, args); } else { if (an < bn) { modpseq_ooaddmulsc (c, a, v, b, t, w, an, args.sargs); c += an * modp_size (args.sargs); b += an * modp_size (args.sargs); modpseq_oomulscv (c, b, t, w, bn - an, args.sargs); return bn; } else { modpseq_ooaddmulsc (c, a, v, b, t, w, bn, args.sargs); c += bn * modp_size (args.sargs); a += bn * modp_size (args.sargs); modpseq_oonegv (c, a, v, an - bn, args.sargs); return an; } } } static int modp_vardnsrecdegdnspolseq_inaddmulsc (modp_vardnsrecdegdnspolseq_t a, int an, int v, modp_vardnsrecdegdnspolseq_t b, int bn, modp_t t, int w, modp_vardnsrecdegdnspol_args args) { assert (v * v == 1 && w * w == 1); if (an == bn) { modpseq_inaddmulsc (a, v, b, t, w, an, args.sargs); return modp_vardnsrecdegdnspolseq_removezeroes (a, an, args); } else { if (an < bn) { modpseq_inaddmulsc (a, v, b, t, w, an, args.sargs); a += an * modp_size (args.sargs); b += an * modp_size (args.sargs); modpseq_oomulscv (a, b, t, w, bn - an, args.sargs); return bn; } else { modpseq_inaddmulsc (a, v, b, t, w, bn, args.sargs); a += bn * modp_size (args.sargs); modpseq_innegv (a, v, an - bn, args.sargs); return an; } } } static int modp_vardnsrecdegdnspolseq_oomulscadd (modp_vardnsrecdegdnspolseq_t c, modp_vardnsrecdegdnspolseq_t a, int an, modp_t s, int v, modp_vardnsrecdegdnspolseq_t b, int bn, int w, modp_vardnsrecdegdnspol_args args) { assert (v * v == 1 && w * w == 1); if (an == bn) { modpseq_oomulscadd (c, a, s, v, b, w, an, args.sargs); return modp_vardnsrecdegdnspolseq_removezeroes (c, an, args); } else { if (an < bn) { modpseq_oomulscadd (c, a, s, v, b, w, an, args.sargs); c += an * modp_size (args.sargs); b += an * modp_size (args.sargs); modpseq_oonegv (c, b, w, bn - an, args.sargs); return bn; } else { modpseq_oomulscadd (c, a, s, v, b, w, bn, args.sargs); c += bn * modp_size (args.sargs); a += bn * modp_size (args.sargs); modpseq_oomulscv (c, a, s, v, an - bn, args.sargs); return an; } } } static int modp_vardnsrecdegdnspolseq_inmulscadd (modp_vardnsrecdegdnspolseq_t a, int an, modp_t s, int v, modp_vardnsrecdegdnspolseq_t b, int bn, int w, modp_vardnsrecdegdnspol_args args) { assert (v * v == 1 && w * w == 1); if (an == bn) { modpseq_inmulscadd (a, s, v, b, w, an, args.sargs); return modp_vardnsrecdegdnspolseq_removezeroes (a, an, args); } else { if (an < bn) { modpseq_inmulscadd (a, s, v, b, w, an, args.sargs); a += an * modp_size (args.sargs); b += an * modp_size (args.sargs); modpseq_oonegv (a, b, w, bn - an, args.sargs); return bn; } else { modpseq_inmulscadd (a, s, v, b, w, bn, args.sargs); a += bn * modp_size (args.sargs); modpseq_inmulscv (a, s, v, an - bn, args.sargs); return an; } } } static int modp_vardnsrecdegdnspolseq_oomulscaddmulsc (modp_vardnsrecdegdnspolseq_t c, modp_vardnsrecdegdnspolseq_t a, int an, modp_t s, int v, modp_vardnsrecdegdnspolseq_t b, int bn, modp_t t, int w, modp_vardnsrecdegdnspol_args args) { assert (v * v == 1 && w * w == 1); if (an == bn) { modpseq_oomulscaddmulsc (c, a, s, v, b, t, w, an, args.sargs); return modp_vardnsrecdegdnspolseq_removezeroes (c, an, args); } else { if (an < bn) { modpseq_oomulscaddmulsc (c, a, s, v, b, t, w, an, args.sargs); c += an * modp_size (args.sargs); b += an * modp_size (args.sargs); modpseq_oomulscv (c, b, t, w, bn - an, args.sargs); return bn; } else { modpseq_oomulscaddmulsc (c, a, s, v, b, t, w, bn, args.sargs); c += bn * modp_size (args.sargs); a += bn * modp_size (args.sargs); modpseq_oomulscv (c, a, s, v, an - bn, args.sargs); return an; } } } static int modp_vardnsrecdegdnspolseq_inmulscaddmulsc (modp_vardnsrecdegdnspolseq_t a, int an, modp_t s, int v, modp_vardnsrecdegdnspolseq_t b, int bn, modp_t t, int w, modp_vardnsrecdegdnspol_args args) { assert (v * v == 1 && w * w == 1); if (an == bn) { modpseq_inmulscaddmulsc (a, s, v, b, t, w, an, args.sargs); return modp_vardnsrecdegdnspolseq_removezeroes (a, an, args); } else { if (an < bn) { modpseq_inmulscaddmulsc (a, s, v, b, t, w, an, args.sargs); a += an * modp_size (args.sargs); b += an * modp_size (args.sargs); modpseq_oomulscv (a, b, t, w, bn - an, args.sargs); return bn; } else { modpseq_inmulscaddmulsc (a, s, v, b, t, w, bn, args.sargs); a += bn * modp_size (args.sargs); modpseq_inmulscv (a, s, v, an - bn, args.sargs); return an; } } } static BOOL modp_vardnsrecdegdnspolseq_oodivsc (modp_vardnsrecdegdnspolseq_t c, modp_vardnsrecdegdnspolseq_t a, int n, modp_t s, modp_vardnsrecdegdnspol_args args) { return modpseq_oodivsc (c, a, s, n, args.sargs); } static int modp_vardnsrecdegdnspolseq_indivsc (modp_vardnsrecdegdnspolseq_t a, int n, modp_t s, modp_vardnsrecdegdnspol_args args) { modpseq_indivsc (a, s, n, args.sargs); return n; } static int modp_vardnsrecdegdnspolseq_oomulmonomsc (modp_vardnsrecdegdnspolseq_t c, modp_vardnsrecdegdnspolseq_t a, int n, int m, modp_t s, int v, modp_vardnsrecdegdnspol_args args) { modpseq_oozero (c, m, args.sargs); c += m * modp_size (args.sargs); modpseq_oomulscv (c, a, s, v, n, args.sargs); return n + m; } static BOOL modp_vardnsrecdegdnspolseq_oodivmonomsc (modp_vardnsrecdegdnspolseq_t c, modp_vardnsrecdegdnspolseq_t a, int n, int m, modp_t s, modp_vardnsrecdegdnspol_args args) { assert (n >= m); a += m * modp_size (args.sargs); return modpseq_oodivsc (c, a, s, n - m, args.sargs); } static int modp_vardnsrecdegdnspolseq_ooaddmulmonomsc (modp_vardnsrecdegdnspolseq_t c, modp_vardnsrecdegdnspolseq_t a, int an, int v, modp_vardnsrecdegdnspolseq_t b, int bn, int m, modp_t t, int w, modp_vardnsrecdegdnspol_args args) { assert (v * v == 1 && w * w == 1); if (an == bn + m) { assert (an >= m); modpseq_oonegv (c, a, v, m, args.sargs); c += m * modp_size (args.sargs); a += m * modp_size (args.sargs); assert (an >= bn); modpseq_ooaddmulsc (c, a, v, b, t, w, bn, args.sargs); c -= m * modp_size (args.sargs); return modp_vardnsrecdegdnspolseq_removezeroes (c, an, args); } else { if (an < bn + m) { if (an < m) { modpseq_oonegv (c, a, v, an, args.sargs); c += an * modp_size (args.sargs); a += an * modp_size (args.sargs); modpseq_oozero (c, m - an, args.sargs); c += (m - an) * modp_size (args.sargs); modpseq_oomulscv (c, b, t, w, bn, args.sargs); } else { assert (an >= m); modpseq_oonegv (c, a, v, m, args.sargs); c += m * modp_size (args.sargs); a += m * modp_size (args.sargs); assert (bn > an - m); modpseq_ooaddmulsc (c, a, v, b, t, w, an - m, args.sargs); c += (an - m) * modp_size (args.sargs); b += (an - m) * modp_size (args.sargs); modpseq_oomulscv (c, b, t, w, bn - (an - m), args.sargs); } return bn + m; } else { assert (an >= m); modpseq_oonegv (c, a, v, m, args.sargs); c += m * modp_size (args.sargs); a += m * modp_size (args.sargs); assert (an >= bn); modpseq_ooaddmulsc (c, a, v, b, t, w, bn, args.sargs); c += bn * modp_size (args.sargs); a += bn * modp_size (args.sargs); assert (an > bn + m); modpseq_oonegv (c, a, v, an - bn - m, args.sargs); return an; } } } static int modp_vardnsrecdegdnspolseq_inaddmulmonomsc (modp_vardnsrecdegdnspolseq_t a, int an, int v, modp_vardnsrecdegdnspolseq_t b, int bn, int m, modp_t t, int w, modp_vardnsrecdegdnspol_args args) { assert (v * v == 1 && w * w == 1); if (an == bn + m) { assert (an >= m); modpseq_innegv (a, v, m, args.sargs); a += m * modp_size (args.sargs); assert (an >= bn); modpseq_inaddmulsc (a, v, b, t, w, bn, args.sargs); a -= m * modp_size (args.sargs); return modp_vardnsrecdegdnspolseq_removezeroes (a, an, args); } else { if (an < bn + m) { if (an < m) { modpseq_innegv (a, v, an, args.sargs); a += an * modp_size (args.sargs); modpseq_oozero (a, m - an, args.sargs); a += (m - an) * modp_size (args.sargs); modpseq_oomulscv (a, b, t, w, bn, args.sargs); } else { assert (an >= m); modpseq_innegv (a, v, m, args.sargs); a += m * modp_size (args.sargs); assert (bn > an - m); modpseq_inaddmulsc (a, v, b, t, w, an - m, args.sargs); a += (an - m) * modp_size (args.sargs); modpseq_oomulscv (a, b, t, w, bn - (an - m), args.sargs); } return bn + m; } else { assert (an >= m); modpseq_innegv (a, v, m, args.sargs); a += m * modp_size (args.sargs); assert (an >= bn); modpseq_inaddmulsc (a, v, b, t, w, bn, args.sargs); a += bn * modp_size (args.sargs); assert (an > bn + m); modpseq_innegv (a, v, an - bn - m, args.sargs); return an; } } } static int modp_vardnsrecdegdnspolseq_oomulscaddmulmonomsc (modp_vardnsrecdegdnspolseq_t c, modp_vardnsrecdegdnspolseq_t a, int an, modp_t s, int v, modp_vardnsrecdegdnspolseq_t b, int bn, int m, modp_t t, int w, modp_vardnsrecdegdnspol_args args) { assert (v * v == 1 && w * w == 1); if (an == bn + m) { assert (an >= m); modpseq_oomulscv (c, a, s, v, m, args.sargs); c += m * modp_size (args.sargs); a += m * modp_size (args.sargs); assert (an >= bn); modpseq_oomulscaddmulsc (c, a, s, v, b, t, w, bn, args.sargs); c -= m * modp_size (args.sargs); return modp_vardnsrecdegdnspolseq_removezeroes (c, an, args); } else { if (an < bn + m) { if (an < m) { modpseq_oomulscv (c, a, s, v, an, args.sargs); c += an * modp_size (args.sargs); a += an * modp_size (args.sargs); modpseq_oozero (c, m - an, args.sargs); c += (m - an) * modp_size (args.sargs); modpseq_oomulscv (c, b, t, w, bn, args.sargs); } else { assert (an >= m); modpseq_oomulscv (c, a, s, v, m, args.sargs); c += m * modp_size (args.sargs); a += m * modp_size (args.sargs); assert (bn > an - m); modpseq_oomulscaddmulsc (c, a, s, v, b, t, w, an - m, args.sargs); c += (an - m) * modp_size (args.sargs); a += (an - m) * modp_size (args.sargs); b += (an - m) * modp_size (args.sargs); modpseq_oomulscv (c, b, t, w, bn - (an - m), args.sargs); } return bn + m; } else { assert (an >= m); modpseq_oomulscv (c, a, s, v, m, args.sargs); c += m * modp_size (args.sargs); a += m * modp_size (args.sargs); assert (an >= bn); modpseq_oomulscaddmulsc (c, a, s, v, b, t, w, bn, args.sargs); c += bn * modp_size (args.sargs); a += bn * modp_size (args.sargs); assert (an > bn + m); modpseq_oomulscv (c, a, s, v, an - bn - m, args.sargs); return an; } } } static int modp_vardnsrecdegdnspolseq_inmulscaddmulmonomsc (modp_vardnsrecdegdnspolseq_t a, int an, modp_t s, int v, modp_vardnsrecdegdnspolseq_t b, int bn, int m, modp_t t, int w, modp_vardnsrecdegdnspol_args args) { assert (v * v == 1 && w * w == 1); if (an == bn + m) { assert (an >= m); modpseq_inmulscv (a, s, v, m, args.sargs); a += m * modp_size (args.sargs); assert (an >= bn); modpseq_inmulscaddmulsc (a, s, v, b, t, w, bn, args.sargs); a -= m * modp_size (args.sargs); return modp_vardnsrecdegdnspolseq_removezeroes (a, an, args); } else { if (an < bn + m) { if (an < m) { modpseq_inmulscv (a, s, v, an, args.sargs); a += an * modp_size (args.sargs); modpseq_oozero (a, m - an, args.sargs); a += m * modp_size (args.sargs); modpseq_oomulscv (a, b, t, w, bn, args.sargs); } else { assert (an >= m); modpseq_inmulscv (a, s, v, m, args.sargs); a += m * modp_size (args.sargs); assert (bn > an - m); modpseq_inmulscaddmulsc (a, s, v, b, t, w, an - m, args.sargs); a += (an - m) * modp_size (args.sargs); modpseq_oomulscv (a, b, t, w, bn - (an - m), args.sargs); } return bn + m; } else { assert (an >= m); modpseq_inmulscv (a, s, v, m, args.sargs); a += m * modp_size (args.sargs); assert (an >= bn); modpseq_inmulscaddmulsc (a, s, v, b, t, w, bn, args.sargs); a += bn * modp_size (args.sargs); assert (an > bn + m); modpseq_inmulscv (a, s, v, an - bn - m, args.sargs); return an; } } } static void modp_vardnsrecdegdnspol_ix_init (modp_vardnsrecdegdnspol_ixt ix, id self) { modp_vardnsrecdegdnspol_t v = [self modp_vardnsrecdegdnspol_value]; ix->i = -1; ix->n = v->n; } static void modp_vardnsrecdegdnspol_ix_clear (modp_vardnsrecdegdnspol_ixt ix) { /* nothing to clear */ } static int modp_vardnsrecdegdnspol_ix_count (modp_vardnsrecdegdnspol_ixt ix) { return ix->n; /* total number, zero or nonzero */ } static int modp_vardnsrecdegdnspol_ix_isempty (modp_vardnsrecdegdnspol_ixt ix) { return ix->n == 0; } static int modp_vardnsrecdegdnspol_ix_ismatch (modp_vardnsrecdegdnspol_ixt ix) { assert (-1 <= ix->i && ix->i <= ix->n); return (ix->i != -1 && ix->i != ix->n); } static void modp_vardnsrecdegdnspol_ix_tofirst (modp_vardnsrecdegdnspol_ixt ix) { ix->i = -1; /* next = first */ } static void modp_vardnsrecdegdnspol_ix_tolast (modp_vardnsrecdegdnspol_ixt ix) { ix->i = ix->n; /* prev = last */ } static void modp_vardnsrecdegdnspol_ix_to (modp_vardnsrecdegdnspol_ixt ix, int i) { /* conversion to "n-i-1" done in elting routine... */ if (i < 0) ix->i = -1; else if (i > ix->n) ix->i = ix->n; else ix->i = i - 1; /* next -> at i */ } static void modp_vardnsrecdegdnspol_ix_next (modp_vardnsrecdegdnspol_ixt ix) { if (ix->i == ix->n) { /* remain on position just after last term */ } else { ++(ix->i); } } static void modp_vardnsrecdegdnspol_ix_prev (modp_vardnsrecdegdnspol_ixt ix) { if (ix->i == -1) { /* remain on position just before first term */ } else { --(ix->i); } } static int modp_vardnsrecdegdnspol_check (modp_vardnsrecdegdnspol_t self, modp_vardnsrecdegdnspol_args args) { assert (self->n <= self->c); return modp_vardnsrecdegdnspolseq_check (self->ptr, self->n, args); } static modp_vardnsrecdegdnspol_args modp_vardnsrecdegdnspol_getargs (id self) { modp_vardnsrecdegdnspol_args res; res.sargs = modp_getargs ([[self termZero] coefficient]); return res; } static modp_vardnsrecdegdnspol_t modp_vardnsrecdegdnspol_id2t (id object) { return [object modp_vardnsrecdegdnspol_value]; } static modp_vardnsrecdegdnspol_c * modp_vardnsrecdegdnspol_id2c (id object) { return [object modp_vardnsrecdegdnspol_reference]; } static id modp_vardnsrecdegdnspol_t2id (id proto, modp_vardnsrecdegdnspol_t f) { return [proto modp_vardnsrecdegdnspol_value:f]; } static id modp_vardnsrecdegdnspol_c2id (id proto, modp_vardnsrecdegdnspol_c * r) { return [proto modp_vardnsrecdegdnspol_reference:r]; } static int modp_vardnsrecdegdnspol_isempty (modp_vardnsrecdegdnspol_t self) { return self->n == 0; } static void modp_vardnsrecdegdnspol_init (modp_vardnsrecdegdnspol_t self, int c, modp_vardnsrecdegdnspol_args args) { self->n = 0; self->c = c; self->ptr = modpseq_alloc (c, args.sargs); assert (modp_vardnsrecdegdnspol_check (self, args)); } static void modp_vardnsrecdegdnspol_copy (modp_vardnsrecdegdnspol_t c, modp_vardnsrecdegdnspol_t a, modp_vardnsrecdegdnspol_args args) { assert (modp_vardnsrecdegdnspol_check (a, args)); modp_vardnsrecdegdnspol_init (c, a->n, args); c->n = modp_vardnsrecdegdnspolseq_copy (c->ptr, a->ptr, a->n, args); assert (modp_vardnsrecdegdnspol_check (c, args)); } static void modp_vardnsrecdegdnspol_deepcopy (modp_vardnsrecdegdnspol_t c, modp_vardnsrecdegdnspol_t a, modp_vardnsrecdegdnspol_args args) { assert (modp_vardnsrecdegdnspol_check (a, args)); modp_vardnsrecdegdnspol_init (c, a->n, args); c->n = modp_vardnsrecdegdnspolseq_deepcopy (c->ptr, a->ptr, a->n, args); assert (modp_vardnsrecdegdnspol_check (c, args)); } static void modp_vardnsrecdegdnspol_move (modp_vardnsrecdegdnspol_t c, modp_vardnsrecdegdnspol_t a, modp_vardnsrecdegdnspol_args args) { c->ptr = a->ptr; c->n = a->n; c->c = a->c; a->ptr = NULL; assert (modp_vardnsrecdegdnspol_check (c, args)); } static void modp_vardnsrecdegdnspol_destroy (modp_vardnsrecdegdnspol_t self, modp_vardnsrecdegdnspol_args args) { /* needed e.g. after a failed oodiv operation */ self->ptr = modpseq_free (self->ptr, args.sargs); } static void modp_vardnsrecdegdnspol_clear (modp_vardnsrecdegdnspol_t self, modp_vardnsrecdegdnspol_args args) { modpseq_clear (self->ptr, self->n, args.sargs); modp_vardnsrecdegdnspol_destroy (self, args); } static int modp_vardnsrecdegdnspol_count (modp_vardnsrecdegdnspol_t self, modp_vardnsrecdegdnspol_args args) { return modp_vardnsrecdegdnspolseq_count (self->ptr, self->n, args); /* num non-zero coefs */ } static unsigned modp_vardnsrecdegdnspol_hash (modp_vardnsrecdegdnspol_t a, modp_vardnsrecdegdnspol_args args) { return modp_vardnsrecdegdnspolseq_hash (a->ptr, a->n, args); } static int modp_vardnsrecdegdnspol_iseq (modp_vardnsrecdegdnspol_t a, modp_vardnsrecdegdnspol_t b, modp_vardnsrecdegdnspol_args args) { return (a == b) ? YES : modp_vardnsrecdegdnspolseq_iseq (a->ptr, a->n, b->ptr, b->n, args); } static int modp_vardnsrecdegdnspol_isone (modp_vardnsrecdegdnspol_t self, modp_vardnsrecdegdnspol_args args) { return modp_vardnsrecdegdnspolseq_isone (self->ptr, self->n, args); } static int modp_vardnsrecdegdnspol_isminusone (modp_vardnsrecdegdnspol_t self, modp_vardnsrecdegdnspol_args args) { return modp_vardnsrecdegdnspolseq_isminusone (self->ptr, self->n, args); } static int modp_vardnsrecdegdnspol_deg (modp_vardnsrecdegdnspol_t self, modp_vardnsrecdegdnspol_args args) { return self->n - 1; } static int modp_vardnsrecdegdnspol_ord (modp_vardnsrecdegdnspol_t self, modp_vardnsrecdegdnspol_args args) { return modp_vardnsrecdegdnspolseq_ord (self->ptr, self->n, args); } static int modp_vardnsrecdegdnspol_maxdeg (modp_vardnsrecdegdnspol_t self, modp_vardnsrecdegdnspol_args args) { return self->n - 1; } static int modp_vardnsrecdegdnspol_mindeg (modp_vardnsrecdegdnspol_t self, modp_vardnsrecdegdnspol_args args) { return modp_vardnsrecdegdnspolseq_ord (self->ptr, self->n, args); } static modp_t modp_vardnsrecdegdnspol_scalat (modp_vardnsrecdegdnspol_t self, modp_vardnsrecdegdnspol_ixt ix, modp_vardnsrecdegdnspol_args args) { assert (modp_vardnsrecdegdnspol_ix_ismatch (ix) && ix->n == self->n); return modpseq_at (self->ptr, ix->n - ix->i - 1, args.sargs); } static int modp_vardnsrecdegdnspol_expat (modp_vardnsrecdegdnspol_t self, modp_vardnsrecdegdnspol_ixt ix, modp_vardnsrecdegdnspol_args args) { assert (modp_vardnsrecdegdnspol_ix_ismatch (ix) && ix->n == self->n); return ix->n - ix->i - 1; } static modp_t modp_vardnsrecdegdnspol_scalfirst (modp_vardnsrecdegdnspol_t self, modp_vardnsrecdegdnspol_args args) { assert (modp_vardnsrecdegdnspol_isempty (self) == NO); return modpseq_last (self->ptr, self->n, args.sargs); } static int modp_vardnsrecdegdnspol_expfirst (modp_vardnsrecdegdnspol_t self, modp_vardnsrecdegdnspol_args args) { assert (modp_vardnsrecdegdnspol_isempty (self) == NO); return self->n - 1; } static void modp_vardnsrecdegdnspol_expand (modp_vardnsrecdegdnspol_t self, modp_vardnsrecdegdnspol_args args) { int oldc = self->c; self->c = self->n + self->c + 1; self->ptr = modpseq_realloc (self->ptr, oldc, self->c, args.sargs); assert (self->n < self->c); } static void modp_vardnsrecdegdnspol_remove (modp_vardnsrecdegdnspol_t self, modp_vardnsrecdegdnspol_args args) { assert (modp_vardnsrecdegdnspol_check (self, args) && modp_vardnsrecdegdnspol_isempty (self) == NO); self->n = modp_vardnsrecdegdnspolseq_delete (self->ptr, self->n, args); assert (modp_vardnsrecdegdnspol_check (self, args)); } static void modp_vardnsrecdegdnspol_insert (modp_vardnsrecdegdnspol_t self, int e, modp_t s, modp_vardnsrecdegdnspol_args args) { assert (modp_vardnsrecdegdnspol_check (self, args)); while (self->c < e + 1) modp_vardnsrecdegdnspol_expand (self, args); self->n = modp_vardnsrecdegdnspolseq_insert (self->ptr, self->n, e, s, args); assert (modp_vardnsrecdegdnspol_check (self, args)); } static int modp_vardnsrecdegdnspol_iszero (modp_vardnsrecdegdnspol_t self, modp_vardnsrecdegdnspol_args args) { return modp_vardnsrecdegdnspol_isempty (self); } static int modp_vardnsrecdegdnspol_isop (modp_vardnsrecdegdnspol_t a, modp_vardnsrecdegdnspol_t b, modp_vardnsrecdegdnspol_args args) { assert (a != b); return modp_vardnsrecdegdnspolseq_isop (a->ptr, a->n, b->ptr, b->n, args); } static void modp_vardnsrecdegdnspol_ooneg (modp_vardnsrecdegdnspol_t c, modp_vardnsrecdegdnspol_t a, modp_vardnsrecdegdnspol_args args) { modp_vardnsrecdegdnspol_init (c, a->n, args); c->n = modp_vardnsrecdegdnspolseq_ooneg (c->ptr, a->ptr, a->n, args); assert (modp_vardnsrecdegdnspol_check (c, args)); } static void modp_vardnsrecdegdnspol_inneg (modp_vardnsrecdegdnspol_t a, modp_vardnsrecdegdnspol_args args) { a->n = modp_vardnsrecdegdnspolseq_inneg (a->ptr, a->n, args); assert (modp_vardnsrecdegdnspol_check (a, args)); } static void modp_vardnsrecdegdnspol_oodbl (modp_vardnsrecdegdnspol_t c, modp_vardnsrecdegdnspol_t a, int v, modp_vardnsrecdegdnspol_args args) { modp_vardnsrecdegdnspol_init (c, a->n, args); c->n = modp_vardnsrecdegdnspolseq_oodbl (c->ptr, a->ptr, a->n, v, args); assert (modp_vardnsrecdegdnspol_check (c, args)); } static void modp_vardnsrecdegdnspol_indbl (modp_vardnsrecdegdnspol_t a, int v, modp_vardnsrecdegdnspol_args args) { modp_vardnsrecdegdnspolseq_indbl (a->ptr, a->n, v, args); assert (modp_vardnsrecdegdnspol_check (a, args)); } static void modp_vardnsrecdegdnspol_ooadd (modp_vardnsrecdegdnspol_t c, modp_vardnsrecdegdnspol_t a, int v, modp_vardnsrecdegdnspol_t b, int w, modp_vardnsrecdegdnspol_args args) { assert (a != b); modp_vardnsrecdegdnspol_init (c, MAX (a->n, b->n), args); c->n = modp_vardnsrecdegdnspolseq_ooadd (c->ptr, a->ptr, a->n, v, b->ptr, b->n, w, args); assert (modp_vardnsrecdegdnspol_check (c, args)); } static void modp_vardnsrecdegdnspol_inadd (modp_vardnsrecdegdnspol_t a, int v, modp_vardnsrecdegdnspol_t b, int w, modp_vardnsrecdegdnspol_args args) { assert (a != b); while (a->c < b->n) modp_vardnsrecdegdnspol_expand (a, args); a->n = modp_vardnsrecdegdnspolseq_inadd (a->ptr, a->n, v, b->ptr, b->n, w, args); assert (modp_vardnsrecdegdnspol_check (a, args)); } static void modp_vardnsrecdegdnspol_oomulsc (modp_vardnsrecdegdnspol_t c, modp_vardnsrecdegdnspol_t a, modp_t s, modp_vardnsrecdegdnspol_args args) { modp_vardnsrecdegdnspol_init (c, a->n, args); c->n = modp_vardnsrecdegdnspolseq_oomulsc (c->ptr, a->ptr, a->n, s, args); assert (modp_vardnsrecdegdnspol_check (c, args)); } static void modp_vardnsrecdegdnspol_inmulsc (modp_vardnsrecdegdnspol_t a, modp_t s, modp_vardnsrecdegdnspol_args args) { a->n = modp_vardnsrecdegdnspolseq_inmulsc (a->ptr, a->n, s, args); assert (modp_vardnsrecdegdnspol_check (a, args)); } static void modp_vardnsrecdegdnspol_ooaddmulsc (modp_vardnsrecdegdnspol_t c, modp_vardnsrecdegdnspol_t a, int v, modp_vardnsrecdegdnspol_t b, modp_t t, int w, modp_vardnsrecdegdnspol_args args) { modp_vardnsrecdegdnspol_init (c, MAX (a->n, b->n), args); c->n = modp_vardnsrecdegdnspolseq_ooaddmulsc (c->ptr, a->ptr, a->n, v, b->ptr, b->n, t, w, args); assert (modp_vardnsrecdegdnspol_check (c, args)); } static void modp_vardnsrecdegdnspol_inaddmulsc (modp_vardnsrecdegdnspol_t a, int v, modp_vardnsrecdegdnspol_t b, modp_t t, int w, modp_vardnsrecdegdnspol_args args) { while (a->c < b->n) modp_vardnsrecdegdnspol_expand (a, args); a->n = modp_vardnsrecdegdnspolseq_inaddmulsc (a->ptr, a->n, v, b->ptr, b->n, t, w, args); assert (modp_vardnsrecdegdnspol_check (a, args)); } static void modp_vardnsrecdegdnspol_oomulscadd (modp_vardnsrecdegdnspol_t c, modp_vardnsrecdegdnspol_t a, modp_t s, int v, modp_vardnsrecdegdnspol_t b, int w, modp_vardnsrecdegdnspol_args args) { modp_vardnsrecdegdnspol_init (c, MAX (a->n, b->n), args); c->n = modp_vardnsrecdegdnspolseq_oomulscadd (c->ptr, a->ptr, a->n, s, v, b->ptr, b->n, w, args); assert (modp_vardnsrecdegdnspol_check (c, args)); } static void modp_vardnsrecdegdnspol_inmulscadd (modp_vardnsrecdegdnspol_t a, modp_t s, int v, modp_vardnsrecdegdnspol_t b, int w, modp_vardnsrecdegdnspol_args args) { while (a->c < b->n) modp_vardnsrecdegdnspol_expand (a, args); a->n = modp_vardnsrecdegdnspolseq_inmulscadd (a->ptr, a->n, s, v, b->ptr, b->n, w, args); assert (modp_vardnsrecdegdnspol_check (a, args)); } static void modp_vardnsrecdegdnspol_oomulscaddmulsc (modp_vardnsrecdegdnspol_t c, modp_vardnsrecdegdnspol_t a, modp_t s, int v, modp_vardnsrecdegdnspol_t b, modp_t t, int w, modp_vardnsrecdegdnspol_args args) { modp_vardnsrecdegdnspol_init (c, MAX (a->n, b->n), args); c->n = modp_vardnsrecdegdnspolseq_oomulscaddmulsc (c->ptr, a->ptr, a->n, s, v, b->ptr, b->n, t, w, args); assert (modp_vardnsrecdegdnspol_check (c, args)); } static void modp_vardnsrecdegdnspol_inmulscaddmulsc (modp_vardnsrecdegdnspol_t a, modp_t s, int v, modp_vardnsrecdegdnspol_t b, modp_t t, int w, modp_vardnsrecdegdnspol_args args) { while (a->c < b->n) modp_vardnsrecdegdnspol_expand (a, args); a->n = modp_vardnsrecdegdnspolseq_inmulscaddmulsc (a->ptr, a->n, s, v, b->ptr, b->n, t, w, args); assert (modp_vardnsrecdegdnspol_check (a, args)); } static BOOL modp_vardnsrecdegdnspol_oodivsc (modp_vardnsrecdegdnspol_t c, modp_vardnsrecdegdnspol_t a, modp_t s, modp_vardnsrecdegdnspol_args args) { BOOL failed; modp_vardnsrecdegdnspol_init (c, a->n, args); failed = modp_vardnsrecdegdnspolseq_oodivsc (c->ptr, a->ptr, a->n, s, args); if (failed) { /* the actual scalars are already freed */ modp_vardnsrecdegdnspol_destroy (c, args); } else { c->n = a->n; assert (modp_vardnsrecdegdnspol_check (c, args)); } return failed; } static void modp_vardnsrecdegdnspol_indivsc (modp_vardnsrecdegdnspol_t a, modp_t s, modp_vardnsrecdegdnspol_args args) { a->n = modp_vardnsrecdegdnspolseq_indivsc (a->ptr, a->n, s, args); assert (modp_vardnsrecdegdnspol_check (a, args)); } static void modp_vardnsrecdegdnspol_oomulmonomsc (modp_vardnsrecdegdnspol_t c, modp_vardnsrecdegdnspol_t b, unimonom_t m, modp_t t, int w, modp_vardnsrecdegdnspol_args args) { modp_vardnsrecdegdnspol_init (c, b->n + m, args); c->n = modp_vardnsrecdegdnspolseq_oomulmonomsc (c->ptr, b->ptr, b->n, m, t, w, args); assert (modp_vardnsrecdegdnspol_check (c, args)); } static void modp_vardnsrecdegdnspol_inmulmonomsc (modp_vardnsrecdegdnspol_t b, unimonom_t m, modp_t t, int w, modp_vardnsrecdegdnspol_args args) { modp_vardnsrecdegdnspol_c tmp; modp_vardnsrecdegdnspol_oomulmonomsc (&tmp, b, m, t, w, args); modp_vardnsrecdegdnspol_clear (b, args); modp_vardnsrecdegdnspol_move (b, &tmp, args); } static void modp_vardnsrecdegdnspol_ooaddmulmonomsc (modp_vardnsrecdegdnspol_t c, modp_vardnsrecdegdnspol_t a, int v, modp_vardnsrecdegdnspol_t b, unimonom_t m, modp_t t, int w, modp_vardnsrecdegdnspol_args args) { modp_vardnsrecdegdnspol_init (c, MAX (a->n, b->n + m), args); c->n = modp_vardnsrecdegdnspolseq_ooaddmulmonomsc (c->ptr, a->ptr, a->n, v, b->ptr, b->n, m, t, w, args); assert (modp_vardnsrecdegdnspol_check (c, args)); } static void modp_vardnsrecdegdnspol_inaddmulmonomsc (modp_vardnsrecdegdnspol_t a, int v, modp_vardnsrecdegdnspol_t b, unimonom_t m, modp_t t, int w, modp_vardnsrecdegdnspol_args args) { while (a->c < b->n + m) modp_vardnsrecdegdnspol_expand (a, args); a->n = modp_vardnsrecdegdnspolseq_inaddmulmonomsc (a->ptr, a->n, v, b->ptr, b->n, m, t, w, args); assert (modp_vardnsrecdegdnspol_check (a, args)); } static void modp_vardnsrecdegdnspol_oomulscaddmulmonomsc (modp_vardnsrecdegdnspol_t c, modp_vardnsrecdegdnspol_t a, modp_t s, int v, modp_vardnsrecdegdnspol_t b, unimonom_t m, modp_t t, int w, modp_vardnsrecdegdnspol_args args) { modp_vardnsrecdegdnspol_init (c, MAX (a->n, b->n + m), args); c->n = modp_vardnsrecdegdnspolseq_oomulscaddmulmonomsc (c->ptr, a->ptr, a->n, s, v, b->ptr, b->n, m, t, w, args); assert (modp_vardnsrecdegdnspol_check (c, args)); } static void modp_vardnsrecdegdnspol_inmulscaddmulmonomsc (modp_vardnsrecdegdnspol_t a, modp_t s, int v, modp_vardnsrecdegdnspol_t b, unimonom_t m, modp_t t, int w, modp_vardnsrecdegdnspol_args args) { a->n = modp_vardnsrecdegdnspolseq_inmulscaddmulmonomsc (a->ptr, a->n, s, v, b->ptr, b->n, m, t, w, args); assert (modp_vardnsrecdegdnspol_check (a, args)); } static BOOL modp_vardnsrecdegdnspol_oodivmonomsc (modp_vardnsrecdegdnspol_t c, modp_vardnsrecdegdnspol_t b, unimonom_t m, modp_t t, modp_vardnsrecdegdnspol_args args) { if (modp_vardnsrecdegdnspol_ord (b, args) < m) { return FAILURE; } else { BOOL failed; modp_vardnsrecdegdnspol_init (c, b->n - m, args); failed = modp_vardnsrecdegdnspolseq_oodivmonomsc (c->ptr, b->ptr, b->n, m, t, args); if (failed) { /* the actual scalars are already freed */ modp_vardnsrecdegdnspol_destroy (c, args); } else { c->n = b->n - m; assert (modp_vardnsrecdegdnspol_check (c, args)); } return failed; } } static void modp_vardnsrecdegdnspol_indivmonomsc (modp_vardnsrecdegdnspol_t b, unimonom_t m, modp_t t, modp_vardnsrecdegdnspol_args args) { modp_vardnsrecdegdnspol_c tmp; BOOL failed = modp_vardnsrecdegdnspol_oodivmonomsc (&tmp, b, m, t, args); if (failed) { fprintf (stderr, "Exact Division Failed"); abort (); } modp_vardnsrecdegdnspol_clear (b, args); modp_vardnsrecdegdnspol_move (b, &tmp, args); } static void modp_vardnsrecdegdnspol_args_fileOut (id aFiler, modp_vardnsrecdegdnspol_args * args) { modpseq_args_fileOut (aFiler, &args->sargs); } static void modp_vardnsrecdegdnspol_args_fileIn (id aFiler, modp_vardnsrecdegdnspol_args * args) { modpseq_args_fileIn (aFiler, &args->sargs); } static void modp_vardnsrecdegdnspol_fileOut (id aFiler, modp_vardnsrecdegdnspol_t self, modp_vardnsrecdegdnspol_args args) { int n = self->n; [aFiler fileOut:&n type:'i']; assert (modp_vardnsrecdegdnspol_check (self, args)); modpseq_fileOut (aFiler, self->ptr, n, args.sargs); } static void modp_vardnsrecdegdnspol_fileIn (id aFiler, modp_vardnsrecdegdnspol_t self, modp_vardnsrecdegdnspol_args args) { int n; [aFiler fileIn:&n type:'i']; modp_vardnsrecdegdnspol_init (self, n, args); modpseq_fileIn (aFiler, self->ptr, n, args.sargs); self->n = n; assert (self->n == n && modp_vardnsrecdegdnspol_check (self, args)); } @implementation modp_vardnsrecdegdns_polynomial : vardnsrecdegdns_polynomial - _setUpScalarZero:aScalar coefficientZero:aCoef symbols:aCltn { id aSymbol; assert ([aCoef isZero] && [aScalar isZero]); assert ([aCoef class_vardnsrecdegdns_polynomial] == [self class]); aSymbol = [aCltn lastElement]; termZero = [Term scalarZero:aScalar coefficient:aCoef symbol:aSymbol exponent:1]; monomialZero = [Monomial scalar:aScalar symbols:aCltn]; scalarZero = aScalar; symbols = aCltn; modp_vardnsrecdegdnspol_init (&value, 2 /* capacity */ , modp_vardnsrecdegdnspol_getargs (self)); assert ([self check]); return self; } + scalarZero:aScalar coefficientZero:aCoef symbols:aCltn { return [[super new] _setUpScalarZero:aScalar coefficientZero:aCoef symbols:aCltn]; } - empty { modp_vardnsrecdegdnspol_c c; assert ([self check]); modp_vardnsrecdegdnspol_init (&c, 2 /* capacity */ , modp_vardnsrecdegdnspol_getargs (self)); return modp_vardnsrecdegdnspol_c2id (self, &c); } - (int) numTerms { /* doesn't take getargs in degsps case */ assert ([self check]); return modp_vardnsrecdegdnspol_count (&value, modp_vardnsrecdegdnspol_getargs (self)); } - (modp_vardnsrecdegdnspol_t)modp_vardnsrecdegdnspol_value { return &value; } - domodp_vardnsrecdegdnspol_value:(modp_vardnsrecdegdnspol_t)aValue { modp_vardnsrecdegdnspol_copy (&value, aValue, modp_vardnsrecdegdnspol_getargs (self)); assert ([self check]); return self; } - modp_vardnsrecdegdnspol_value:(modp_vardnsrecdegdnspol_t)aValue { return [[self clone] domodp_vardnsrecdegdnspol_value:aValue]; } - (modp_vardnsrecdegdnspol_t)modp_vardnsrecdegdnspol_reference { return &value; } - domodp_vardnsrecdegdnspol_reference:(modp_vardnsrecdegdnspol_c *)aReference { modp_vardnsrecdegdnspol_move (&value, aReference, modp_vardnsrecdegdnspol_getargs (self)); assert ([self check]); return self; } - modp_vardnsrecdegdnspol_reference:(modp_vardnsrecdegdnspol_c *)aReference { return [[self clone] domodp_vardnsrecdegdnspol_reference:aReference]; } - copy { modp_vardnsrecdegdnspol_c c; assert ([self check]); modp_vardnsrecdegdnspol_copy (&c, &value, modp_vardnsrecdegdnspol_getargs (self)); return modp_vardnsrecdegdnspol_c2id (self, &c); } - deepCopy { modp_vardnsrecdegdnspol_c c; assert ([self check]); modp_vardnsrecdegdnspol_deepcopy (&c, &value, modp_vardnsrecdegdnspol_getargs (self)); return modp_vardnsrecdegdnspol_c2id (self, &c); } - (BOOL) isEmpty { return modp_vardnsrecdegdnspol_isempty (&value); } - (BOOL) isOne { return modp_vardnsrecdegdnspol_isone (&value, modp_vardnsrecdegdnspol_getargs (self)); } - (BOOL) isMinusOne { return modp_vardnsrecdegdnspol_isminusone (&value, modp_vardnsrecdegdnspol_getargs (self)); } - (unsigned) hash { return modp_vardnsrecdegdnspol_hash (modp_vardnsrecdegdnspol_id2t (self), modp_vardnsrecdegdnspol_getargs (self)); } - (BOOL) isEqual:b { [self checkSameClass:b]; if (self == b) { return YES; } else { return modp_vardnsrecdegdnspol_iseq (modp_vardnsrecdegdnspol_id2t (self), modp_vardnsrecdegdnspol_id2t (b), modp_vardnsrecdegdnspol_getargs (self)); } } - (BOOL) notEqual:b { [self checkSameClass:b]; if (self == b) { return NO; } else { return !modp_vardnsrecdegdnspol_iseq (modp_vardnsrecdegdnspol_id2t (self), modp_vardnsrecdegdnspol_id2t (b), modp_vardnsrecdegdnspol_getargs (self)); } } - (BOOL) isZero { assert ([self check]); return modp_vardnsrecdegdnspol_iszero (modp_vardnsrecdegdnspol_id2t (self), modp_vardnsrecdegdnspol_getargs (self)); } - (BOOL) notZero { assert ([self check]); return !modp_vardnsrecdegdnspol_iszero (modp_vardnsrecdegdnspol_id2t (self), modp_vardnsrecdegdnspol_getargs (self)); } - (BOOL) isOpposite:b { assert ([self checkSameClass:b] && self != b); return modp_vardnsrecdegdnspol_isop (modp_vardnsrecdegdnspol_id2t (self), modp_vardnsrecdegdnspol_id2t (b), modp_vardnsrecdegdnspol_getargs (self)); } - (BOOL) notOpposite:b { assert ([self checkSameClass:b] && self != b); return !modp_vardnsrecdegdnspol_isop (modp_vardnsrecdegdnspol_id2t (self), modp_vardnsrecdegdnspol_id2t (b), modp_vardnsrecdegdnspol_getargs (self)); } - negate { modp_vardnsrecdegdnspol_c c; assert ([self check]); modp_vardnsrecdegdnspol_ooneg (&c, modp_vardnsrecdegdnspol_id2t (self), modp_vardnsrecdegdnspol_getargs (self)); return modp_vardnsrecdegdnspol_c2id (self, &c); } - _double:(int)v { modp_vardnsrecdegdnspol_c c; assert ([self check]); modp_vardnsrecdegdnspol_oodbl (&c, modp_vardnsrecdegdnspol_id2t (self), v, modp_vardnsrecdegdnspol_getargs (self)); return modp_vardnsrecdegdnspol_c2id (self, &c); } - double { modp_vardnsrecdegdnspol_c c; assert ([self check]); modp_vardnsrecdegdnspol_oodbl (&c, modp_vardnsrecdegdnspol_id2t (self), +1, modp_vardnsrecdegdnspol_getargs (self)); return modp_vardnsrecdegdnspol_c2id (self, &c); } - _add:(int)v:b:(int)w { modp_vardnsrecdegdnspol_c c; assert ([self sameClass:b] && v * v == 1 && w * w == 1 && self != b); modp_vardnsrecdegdnspol_ooadd (&c, modp_vardnsrecdegdnspol_id2t (self), v, modp_vardnsrecdegdnspol_id2t (b), w, modp_vardnsrecdegdnspol_getargs (self)); return modp_vardnsrecdegdnspol_c2id (self, &c); } - add:b { modp_vardnsrecdegdnspol_c c; assert ([self checkSameClass:b] && self != b); modp_vardnsrecdegdnspol_ooadd (&c, modp_vardnsrecdegdnspol_id2t (self), +1, modp_vardnsrecdegdnspol_id2t (b), +1, modp_vardnsrecdegdnspol_getargs (self)); return modp_vardnsrecdegdnspol_c2id (self, &c); } - subtract:b { modp_vardnsrecdegdnspol_c c; assert ([self checkSameClass:b] && self != b); modp_vardnsrecdegdnspol_ooadd (&c, modp_vardnsrecdegdnspol_id2t (self), +1, modp_vardnsrecdegdnspol_id2t (b), -1, modp_vardnsrecdegdnspol_getargs (self)); return modp_vardnsrecdegdnspol_c2id (self, &c); } - (int) leadingDegree { return modp_vardnsrecdegdnspol_deg (&value, modp_vardnsrecdegdnspol_getargs (self)); } - (int) lastDegree { return modp_vardnsrecdegdnspol_ord (&value, modp_vardnsrecdegdnspol_getargs (self)); } - (int) maxDegree { return modp_vardnsrecdegdnspol_maxdeg (&value, modp_vardnsrecdegdnspol_getargs (self)); } - (int) minDegree { return modp_vardnsrecdegdnspol_mindeg (&value, modp_vardnsrecdegdnspol_getargs (self)); } - asScalar { if ([self size] == 1) { id asScalar, lastTerm, aSequence = [self eachElement]; asScalar = (lastTerm = [aSequence lastElement]) ? [lastTerm asScalar] : nil; return asScalar; } else { return nil; } } - asSymbol { if ([self size] == 1) { id asSymbol, lastTerm, aSequence = [self eachElement]; asSymbol = (lastTerm = [aSequence lastElement]) ? [lastTerm asSymbol] : nil; return asSymbol; } else { return nil; } } - check { [super check]; [scalarZero check]; [termZero check]; [monomialZero check]; [symbols check]; assert ([symbols size] >= 1); assert ([scalarZero isEqual:[monomialZero scalar]]); assert ([symbols isEqual:[monomialZero symbols]]); assert ([termZero isZero] && [termZero exponent] == 1 && [termZero symbol] != nil); assert ([[symbols lastElement] isEqual:[termZero symbol]]); modp_vardnsrecdegdnspol_check (&value, modp_vardnsrecdegdnspol_getargs (self)); return self; } - release { modp_vardnsrecdegdnspol_clear (&value, modp_vardnsrecdegdnspol_getargs (self)); return [super release]; } - scalarZero { return scalarZero; } - termZero { return termZero; } - monomialZero { return monomialZero; } - symbols { return symbols; } - eachTerm { id aSequence = [modp_vardnsrecdegdnspol_sequence content:self]; return [CASequence over:aSequence]; } - elt_modp_vardnsrecdegdnspol_ix:(modp_vardnsrecdegdnspol_ixt)ix { if (modp_vardnsrecdegdnspol_ix_ismatch (ix)) { id c, s; int e; modp_t t; t = modp_vardnsrecdegdnspol_scalat (&value, ix, modp_vardnsrecdegdnspol_getargs (self)); e = modp_vardnsrecdegdnspol_expat (&value, ix, modp_vardnsrecdegdnspol_getargs (self)); c = modp_t2id ([termZero coefficient], t); s = (e) ? [termZero symbol] : nil; return [termZero coefficient:c symbol:s exponent:e]; } else { return nil; } } - removeTerm { if ([self isEmpty]) { return nil; } else { id lt; id c, s; int e; modp_t t; assert ([self check]); t = modp_vardnsrecdegdnspol_scalfirst (&value, modp_vardnsrecdegdnspol_getargs (self)); e = modp_vardnsrecdegdnspol_expfirst (&value, modp_vardnsrecdegdnspol_getargs (self)); c = modp_t2id ([termZero coefficient], t); s = (e) ? [termZero symbol] : nil; lt = [termZero coefficient:c symbol:s exponent:e]; modp_vardnsrecdegdnspol_remove (&value, modp_vardnsrecdegdnspol_getargs (self)); [self invalidate]; assert ([self check]); return lt; } } - insertTerm:aTerm { if ([aTerm isZero]) { return self; } else { modp_c c; modp_t r; int e; assert ([aTerm check]); assert ([self check]); r = modp_id2ref ([aTerm coefficient], &c); e = [aTerm exponent]; modp_vardnsrecdegdnspol_insert (&value, e, r, modp_vardnsrecdegdnspol_getargs (self)); assert ([aTerm check]); [self invalidate]; assert ([self check]); return self; } } - multiplyCoefficient:s { modp_vardnsrecdegdnspol_c c; modp_c sc; modp_vardnsrecdegdnspol_oomulsc (&c, modp_vardnsrecdegdnspol_id2t (self), modp_id2ref (s, &sc), modp_vardnsrecdegdnspol_getargs (self)); return modp_vardnsrecdegdnspol_c2id (self, &c); } - divideCoefficient:s { modp_vardnsrecdegdnspol_c c; modp_c sc; BOOL failed = modp_vardnsrecdegdnspol_oodivsc (&c, modp_vardnsrecdegdnspol_id2t (self), modp_id2ref (s, &sc), modp_vardnsrecdegdnspol_getargs (self)); return (failed) ? nil : modp_vardnsrecdegdnspol_c2id (self, &c); } - _add:(int)v:B multiplyCoefficient:b:(int)w { modp_vardnsrecdegdnspol_c c; modp_c bc; modp_vardnsrecdegdnspol_ooaddmulsc (&c, modp_vardnsrecdegdnspol_id2t (self), v, modp_vardnsrecdegdnspol_id2t (B), modp_id2ref (b, &bc), w, modp_vardnsrecdegdnspol_getargs (self)); return modp_vardnsrecdegdnspol_c2id (self, &c); } - _multiplyCoefficient:a:(int)v add:B:(int)w { modp_vardnsrecdegdnspol_c c; modp_c ac; modp_vardnsrecdegdnspol_oomulscadd (&c, modp_vardnsrecdegdnspol_id2t (self), modp_id2ref (a, &ac), v, modp_vardnsrecdegdnspol_id2t (B), w, modp_vardnsrecdegdnspol_getargs (self)); return modp_vardnsrecdegdnspol_c2id (self, &c); } - _multiplyCoefficient:a:(int)v add:B multiplyCoefficient:b:(int)w { modp_vardnsrecdegdnspol_c c; modp_c ac, bc; modp_vardnsrecdegdnspol_oomulscaddmulsc (&c, modp_vardnsrecdegdnspol_id2t (self), modp_id2ref (a, &ac), v, modp_vardnsrecdegdnspol_id2t (B), modp_id2ref (b, &bc), w, modp_vardnsrecdegdnspol_getargs (self)); return modp_vardnsrecdegdnspol_c2id (self, &c); } - multiplyTerm:aTerm { modp_vardnsrecdegdnspol_c c; modp_t s; modp_c sc; s = modp_id2ref ([aTerm coefficient], &sc); modp_vardnsrecdegdnspol_oomulmonomsc (&c, modp_vardnsrecdegdnspol_id2t (self), [aTerm exponent], s, +1, modp_vardnsrecdegdnspol_getargs (self)); return modp_vardnsrecdegdnspol_c2id (self, &c); } - _multiplyTerm:aTerm:(int)v { modp_vardnsrecdegdnspol_c c; modp_t s; modp_c sc; s = modp_id2ref ([aTerm coefficient], &sc); modp_vardnsrecdegdnspol_oomulmonomsc (&c, modp_vardnsrecdegdnspol_id2t (self), [aTerm exponent], s, v, modp_vardnsrecdegdnspol_getargs (self)); return modp_vardnsrecdegdnspol_c2id (self, &c); } - divideTerm:aTerm { int e; modp_vardnsrecdegdnspol_c c; BOOL failed; modp_t s; modp_c sc; e = [aTerm exponent]; s = modp_id2ref ([aTerm coefficient], &sc); failed = modp_vardnsrecdegdnspol_oodivmonomsc (&c, modp_vardnsrecdegdnspol_id2t (self), e, s, modp_vardnsrecdegdnspol_getargs (self)); return (failed) ? nil : modp_vardnsrecdegdnspol_c2id (self, &c); } - _add:(int)v:B multiplyTerm:b:(int)w { modp_vardnsrecdegdnspol_c c; modp_c bc; modp_t bs; bs = modp_id2ref ([b coefficient], &bc); modp_vardnsrecdegdnspol_ooaddmulmonomsc (&c, modp_vardnsrecdegdnspol_id2c (self), v, modp_vardnsrecdegdnspol_id2t (B), [b exponent], bs, w, modp_vardnsrecdegdnspol_getargs (self)); return modp_vardnsrecdegdnspol_c2id (self, &c); } - _multiplyCoefficient:a:(int)v add:B multiplyTerm:b:(int)w { modp_vardnsrecdegdnspol_c c; modp_c ac, bc; modp_t as, bs; as = modp_id2ref (a, &ac); bs = modp_id2ref ([b coefficient], &bc); modp_vardnsrecdegdnspol_oomulscaddmulmonomsc (&c, modp_vardnsrecdegdnspol_id2c (self), as, v, modp_vardnsrecdegdnspol_id2t (B), [b exponent], bs, w, modp_vardnsrecdegdnspol_getargs (self)); return modp_vardnsrecdegdnspol_c2id (self, &c); } - fileOutOn:aFiler { modp_vardnsrecdegdnspol_args args; [super fileOutOn:aFiler]; args = modp_vardnsrecdegdnspol_getargs (self); /* can't do this in fileIn case */ modp_vardnsrecdegdnspol_args_fileOut (aFiler, &args); modp_vardnsrecdegdnspol_fileOut (aFiler, &value, args); return self; } - fileInFrom:aFiler { modp_vardnsrecdegdnspol_args args; [super fileInFrom:aFiler]; modp_vardnsrecdegdnspol_args_fileIn (aFiler, &args); modp_vardnsrecdegdnspol_fileIn (aFiler, &value, args); return self; } @end