413 lines
11 KiB
C
413 lines
11 KiB
C
/*=============================================================================
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This file is part of FLINT.
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FLINT is free software; you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation; either version 2 of the License, or
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(at your option) any later version.
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FLINT is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License
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along with FLINT; if not, write to the Free Software
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Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
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=============================================================================*/
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/******************************************************************************
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Copyright (C) 2013 Mike Hansen
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******************************************************************************/
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#ifdef T
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#include "flint.h"
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#include "templates.h"
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#include <sys/stat.h>
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#include <math.h>
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#include "profiler.h"
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#include "fmpz_mat.h"
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#define nalgs 2
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#define cpumin 1
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#define ncases 2
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int
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get_timings(double* s, slong degree, mp_bitcnt_t bits, slong length)
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{
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TEMPLATE(T, ctx_t) ctx;
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TEMPLATE(T, poly_t) f, *h, finv;
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TEMPLATE(T, mat_t) HH;
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fmpz_t p, q;
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double beta;
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slong i, l;
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int n, c, reps = 0;
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FLINT_TEST_INIT(state);
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fmpz_init(p);
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fmpz_init(q);
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beta = 0.5 * (1. - (log(2) / log(length)));
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l = ceil(pow(length, beta));
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if (!(h = flint_malloc((l + 1) * sizeof(TEMPLATE(T, poly_struct)))))
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{
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flint_printf("Exception (p-iterated_frobenius):\n");
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flint_printf("Not enough memory.\n");
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abort();
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}
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flint_printf("Trying %d %d %d\n", degree, bits, length);
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for (c = 0; c < nalgs; c++)
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s[c] = 0.0;
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reps = 0;
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/* Compute the timings */
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for (n = 0; n < ncases; n++)
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{
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double t[nalgs];
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int lo, loops = 1;
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#ifdef FQ_ZECH_VEC_NORM
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do
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{
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fmpz_set_ui(p, n_randprime(state, bits, 1));
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fmpz_pow_ui(q, p, degree);
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} while (fmpz_cmp_ui(q, 1048576) > 0);
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#else
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fmpz_set_ui(p, n_randprime(state, bits, 1));
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fmpz_pow_ui(q, p, degree);
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#endif
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TEMPLATE(T, ctx_init)(ctx, p, degree, "a");
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TEMPLATE(T, poly_init)(f, ctx);
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TEMPLATE(T, poly_init)(finv, ctx);
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TEMPLATE(T, ctx_order)(q, ctx);
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#ifdef FQ_ZECH_VEC_NORM
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if (fmpz_cmp_ui(q, 1048576) > 0)
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{
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flint_printf("Order too big for zech representation: ");
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fmpz_print(q);
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flint_printf("\n");
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abort();
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}
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#endif
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for (i = 0; i < l + 1; i++)
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TEMPLATE(T, poly_init)(h[i], ctx);
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/*
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Construct random elements of fq
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*/
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{
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TEMPLATE(T, poly_randtest_monic)(f, state, length, ctx);
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TEMPLATE(T, poly_reverse)(finv, f, f->length, ctx);
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TEMPLATE(T, poly_inv_series_newton)(finv, finv, f->length, ctx);
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}
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loop:
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t[0] = 0.0;
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init_clock(0);
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prof_start();
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for (lo = 0; lo < loops; lo++)
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{
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TEMPLATE(T, poly_gen)(h[0], ctx);
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TEMPLATE(T, mat_init)(HH, n_sqrt(f->length - 1) + 1, f->length - 1, ctx);
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TEMPLATE(T, poly_powmod_fmpz_sliding_preinv)(h[1], h[0], q, 0, f, finv, ctx);
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TEMPLATE(T, poly_precompute_matrix)(HH, h[1], f, finv, ctx);
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for (i = 2; i < l + 1; i++)
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TEMPLATE(T, poly_compose_mod_brent_kung_precomp_preinv)(h[i], h[i - 1],
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HH, f, finv, ctx);
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TEMPLATE(T, mat_clear)(HH, ctx);
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}
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prof_stop();
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t[0] += get_clock(0);
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t[1] = 0.0;
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init_clock(0);
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prof_start();
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for (lo = 0; lo < loops; lo++)
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{
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TEMPLATE(T, poly_gen)(h[0], ctx);
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TEMPLATE(T, poly_powmod_fmpz_sliding_preinv)(h[1], h[0], q, 0, f, finv, ctx);
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for (i = 2; i < l + 1; i++)
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TEMPLATE(T, poly_powmod_fmpz_sliding_preinv)(h[i], h[i-1], q, 0, f, finv, ctx);
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}
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prof_stop();
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t[1] += get_clock(0);
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for (c = 0; c < nalgs; c++)
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if (t[c] * FLINT_CLOCK_SCALE_FACTOR <= cpumin)
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{
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loops *= 2;
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goto loop;
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}
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for (c = 0; c < nalgs; c++)
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s[c] += t[c];
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reps += loops;
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TEMPLATE(T, poly_clear)(f, ctx);
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TEMPLATE(T, poly_clear)(finv, ctx);
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for (i = 0; i < l + 1; i++)
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TEMPLATE(T, poly_clear)(h[i], ctx);
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TEMPLATE(T, ctx_clear)(ctx);
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}
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for (c = 0; c < nalgs; c++)
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{
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s[c] = s[c] / (double) reps;
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}
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fmpz_clear(p);
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fmpz_clear(q);
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flint_free(h);
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FLINT_TEST_CLEANUP(state);
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return s[0] > s[1];
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}
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long
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a(fmpz_mat_t array, slong i, slong j)
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{
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return fmpz_get_si(fmpz_mat_entry(array, i, j));
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}
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int
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file_exists(char *filename)
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{
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struct stat buffer;
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return (stat (filename, &buffer) == 0);
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}
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int
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init_array(fmpz_mat_t array, slong max_degree, slong max_bits, slong max_length, char* filename)
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{
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int bigger_length = 0;
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fmpz_mat_t old_array;
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slong i, j;
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FILE * old_file;
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if( file_exists(filename) )
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{
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flint_printf(filename);
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/* old file exists */
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fmpz_mat_init(old_array, max_degree, max_bits);
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old_file = fopen(filename, "r");
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fmpz_mat_fread(old_file, old_array);
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fclose(old_file);
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if (fmpz_get_ui(fmpz_mat_entry(old_array, 0, 2)) < max_length)
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bigger_length = 1;
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}
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fmpz_mat_init(array, max_degree, max_bits);
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max_bits = FLINT_MAX(max_bits, 3);
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fmpz_set_si(fmpz_mat_entry(array, 0, 0), max_degree);
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fmpz_set_si(fmpz_mat_entry(array, 0, 1), max_bits);
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fmpz_set_si(fmpz_mat_entry(array, 0, 2), max_length);
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if( file_exists(filename) )
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{
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for (i = 2; i < max_degree; i++)
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{
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for (j = 0; j < max_bits; j++)
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{
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fmpz_set(fmpz_mat_entry(array, i, j),
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fmpz_mat_entry(old_array, i, j));
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}
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}
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fmpz_mat_clear(old_array);
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}
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fmpz_mat_print_pretty(array);
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return bigger_length;
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}
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void write_array(fmpz_mat_t array, char * filename)
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{
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FILE * tmp;
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tmp = fopen(filename, "w");
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fmpz_mat_fprint(tmp, array);
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fclose(tmp);
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}
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int
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main(int argc, char** argv)
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{
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mp_bitcnt_t bits, max_bits, max_bits_used, max_bits_e;
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int is_hit, bigger_length;
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slong degree, length, max_degree, max_length, imin, imax, imid, diff;
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fmpz_mat_t array;
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char* filename;
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double s[nalgs];
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max_degree = atol(argv[1]);
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max_bits = atol(argv[2]);
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max_length = atol(argv[3]);
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filename = argv[4];
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bigger_length = init_array(array, max_degree, max_bits, max_length, filename);
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max_bits_used = 0;
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max_bits_e = 0;
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for (degree = 2; degree < max_degree; degree++)
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{
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flint_printf("Degree %d\n", degree);
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fflush(stdout);
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bits = 2;
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length = 3;
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while (bits < max_bits && (max_bits_e == 0 || bits < max_bits_e) )
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{
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if (a(array, degree, bits) != 0 ||
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(!bigger_length && bits >= a(array, degree, 0)))
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{
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bits += 1;
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continue;
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}
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#ifdef FQ_ZECH_VEC_NORM
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/* Don't make zech fields too big */
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if (degree * bits >= 20)
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{
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bits += 1;
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continue;
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}
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#endif
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/* Set the initial state */
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if (bits == 2 || bits == 3)
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{
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if (degree == 2)
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{
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length = 3;
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}
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else
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{
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if (a(array, degree - 1, bits) > length)
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length = a(array, degree - 1, bits);
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}
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diff = length;
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}
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else
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{
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length = a(array, degree, bits - 1);
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diff = length - a(array, degree, bits - 2);
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if (diff < degree)
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{
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diff = degree;
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}
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}
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/* Set the min */
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imax = 0;
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imin = length;
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is_hit = get_timings(s, degree, bits, imin);
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while (is_hit != 0)
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{
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imax = imin;
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imin -= 1;
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if (imin < 3)
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{
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break;
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}
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is_hit = get_timings(s, degree, bits, imin);
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}
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if (imin < 3)
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{
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bits += 1;
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continue;
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}
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/* Set the max */
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if (imax == 0)
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{
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imax = FLINT_MIN(imin + 2 * diff, max_length);
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is_hit = get_timings(s, degree, bits, imax);
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while (is_hit != 1)
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{
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flint_printf("Finding max, %d\n", diff);
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if (imax == max_length)
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{
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imax = max_length + 1;
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break;
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}
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imin = imax;
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imax += 2 * diff;
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imax = FLINT_MIN(imax, max_length);
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is_hit = get_timings(s, degree, bits, imax);
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}
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}
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if (imax > max_length)
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{
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max_bits_e = bits;
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fmpz_set_si(fmpz_mat_entry(array, degree, 0), bits);
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write_array(array, filename);
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break;
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}
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flint_printf("Min - Max: %d - %d\n", imin, imax);
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while (imin < imax)
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{
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imid = imin + ((imax - imin) / 2);
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if (imid >= imax)
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{
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flint_printf("Error in computing midpoint\n");
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abort();
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}
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is_hit = get_timings(s, degree, bits, imid);
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if (is_hit)
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{
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imax = imid;
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}
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else
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{
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imin = imid + 1;
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}
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}
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length = imin;
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/* Set the array */
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flint_printf("%d - %d %d\n", degree, bits, length);
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fmpz_set_si(fmpz_mat_entry(array, degree, bits), length);
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fmpz_set_si(fmpz_mat_entry(array, degree, 0), bits);
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if (degree == 2 && bits > max_bits_used)
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max_bits_used = bits + 1;
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fflush(stdout);
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write_array(array, filename);
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bits += 1;
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}
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}
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fmpz_mat_print_pretty(array);
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fmpz_mat_clear(array);
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return 0;
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}
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#endif
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