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172 lines
4.4 KiB
172 lines
4.4 KiB
/*
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* Copyright (c) 2008-2020 Stefan Krah. All rights reserved.
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*
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* Redistribution and use in source and binary forms, with or without
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* modification, are permitted provided that the following conditions
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* are met:
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*
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* 1. Redistributions of source code must retain the above copyright
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* notice, this list of conditions and the following disclaimer.
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*
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* 2. Redistributions in binary form must reproduce the above copyright
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* notice, this list of conditions and the following disclaimer in the
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* documentation and/or other materials provided with the distribution.
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*
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* THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS "AS IS" AND
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* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
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* ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
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* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
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* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
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* OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
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* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
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* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
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* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
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* SUCH DAMAGE.
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*/
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#include "mpdecimal.h"
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#include "bits.h"
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#include "constants.h"
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#include "convolute.h"
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#include "fnt.h"
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#include "fourstep.h"
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#include "numbertheory.h"
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#include "sixstep.h"
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#include "umodarith.h"
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/* Bignum: Fast convolution using the Number Theoretic Transform. Used for
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the multiplication of very large coefficients. */
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/* Convolute the data in c1 and c2. Result is in c1. */
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int
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fnt_convolute(mpd_uint_t *c1, mpd_uint_t *c2, mpd_size_t n, int modnum)
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{
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int (*fnt)(mpd_uint_t *, mpd_size_t, int);
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int (*inv_fnt)(mpd_uint_t *, mpd_size_t, int);
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#ifdef PPRO
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double dmod;
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uint32_t dinvmod[3];
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#endif
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mpd_uint_t n_inv, umod;
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mpd_size_t i;
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SETMODULUS(modnum);
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n_inv = POWMOD(n, (umod-2));
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if (ispower2(n)) {
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if (n > SIX_STEP_THRESHOLD) {
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fnt = six_step_fnt;
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inv_fnt = inv_six_step_fnt;
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}
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else {
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fnt = std_fnt;
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inv_fnt = std_inv_fnt;
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}
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}
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else {
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fnt = four_step_fnt;
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inv_fnt = inv_four_step_fnt;
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}
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if (!fnt(c1, n, modnum)) {
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return 0;
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}
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if (!fnt(c2, n, modnum)) {
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return 0;
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}
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for (i = 0; i < n-1; i += 2) {
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mpd_uint_t x0 = c1[i];
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mpd_uint_t y0 = c2[i];
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mpd_uint_t x1 = c1[i+1];
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mpd_uint_t y1 = c2[i+1];
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MULMOD2(&x0, y0, &x1, y1);
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c1[i] = x0;
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c1[i+1] = x1;
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}
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if (!inv_fnt(c1, n, modnum)) {
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return 0;
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}
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for (i = 0; i < n-3; i += 4) {
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mpd_uint_t x0 = c1[i];
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mpd_uint_t x1 = c1[i+1];
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mpd_uint_t x2 = c1[i+2];
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mpd_uint_t x3 = c1[i+3];
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MULMOD2C(&x0, &x1, n_inv);
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MULMOD2C(&x2, &x3, n_inv);
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c1[i] = x0;
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c1[i+1] = x1;
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c1[i+2] = x2;
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c1[i+3] = x3;
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}
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return 1;
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}
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/* Autoconvolute the data in c1. Result is in c1. */
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int
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fnt_autoconvolute(mpd_uint_t *c1, mpd_size_t n, int modnum)
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{
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int (*fnt)(mpd_uint_t *, mpd_size_t, int);
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int (*inv_fnt)(mpd_uint_t *, mpd_size_t, int);
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#ifdef PPRO
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double dmod;
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uint32_t dinvmod[3];
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#endif
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mpd_uint_t n_inv, umod;
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mpd_size_t i;
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SETMODULUS(modnum);
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n_inv = POWMOD(n, (umod-2));
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if (ispower2(n)) {
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if (n > SIX_STEP_THRESHOLD) {
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fnt = six_step_fnt;
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inv_fnt = inv_six_step_fnt;
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}
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else {
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fnt = std_fnt;
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inv_fnt = std_inv_fnt;
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}
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}
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else {
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fnt = four_step_fnt;
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inv_fnt = inv_four_step_fnt;
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}
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if (!fnt(c1, n, modnum)) {
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return 0;
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}
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for (i = 0; i < n-1; i += 2) {
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mpd_uint_t x0 = c1[i];
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mpd_uint_t x1 = c1[i+1];
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MULMOD2(&x0, x0, &x1, x1);
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c1[i] = x0;
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c1[i+1] = x1;
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}
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if (!inv_fnt(c1, n, modnum)) {
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return 0;
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}
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for (i = 0; i < n-3; i += 4) {
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mpd_uint_t x0 = c1[i];
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mpd_uint_t x1 = c1[i+1];
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mpd_uint_t x2 = c1[i+2];
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mpd_uint_t x3 = c1[i+3];
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MULMOD2C(&x0, &x1, n_inv);
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MULMOD2C(&x2, &x3, n_inv);
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c1[i] = x0;
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c1[i+1] = x1;
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c1[i+2] = x2;
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c1[i+3] = x3;
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}
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return 1;
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}
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