flint-sys 0.9.0

Bindings to the FLINT C library
Documentation 
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/*
    Copyright (C) 2010 Sebastian Pancratz

    This file is part of FLINT.

    FLINT is free software: you can redistribute it and/or modify it under
    the terms of the GNU Lesser General Public License (LGPL) as published
    by the Free Software Foundation; either version 3 of the License, or
    (at your option) any later version.  See <https://www.gnu.org/licenses/>.
*/

#include <float.h>
#include "fmpz.h"
#include "fmpz_poly.h"
#include "ulong_extras.h"
#include "profiler.h"

/*
   Definitions for the parameters of the timing process.

   len1lo   Minimum length
   len1hi   Maximum length
   len1h    Step size for the length
   len2lo   Minimum length
   len2hi   Maximum length
   len2h    Step size for the length
   bits     Bit size of the coefficients
   cols     Number of different lengths
   rows     Number of different bit sizes
   cpumin   Minimum number of ms spent on each test case
   ncases   Number of test cases per point (length, bit size)
   nalgs    Number of algorithms
   img      Whether an RGB coloured image should be produced
   imgname  File name for image
 */

#define len1lo   1
#define len1hi   30
#define len1h    1
#define len2lo   1
#define len2hi   30
#define len2h    1
#define bits     112
#define cols     ((len1hi + 1 - len1lo + (len1h - 1)) / len1h)
#define rows     ((len2hi + 1 - len2lo + (len2h - 1)) / len2h)
#define cpumin   10
#define ncases   1
#define nalgs    2

int
main(void)
{
    int i, j, len1, len2;
    int X[rows][cols];
    fmpz_poly_t f, g, h;
    FLINT_TEST_INIT(state);


    fmpz_poly_init2(f, len1hi);
    fmpz_poly_init2(g, len2hi);
    fmpz_poly_init2(h, (len1hi-1) * (len2hi-1) + 1);

    for (len1 = len1lo, j = 0; len1 <= len1hi; len1 += len1h, j++)
    {
        slong s[nalgs];

        for (len2 = len2lo, i = 0; len2 <= len2hi; len2 += len2h, i++)
        {
            int c, n;

            for (c = 0; c < nalgs; c++)
                s[c] = WORD(0);

            for (n = 0; n < ncases; n++)
            {
                timeit_t t[nalgs];
                int l, loops = 1;

                /*
                   Construct random polynomials f and g
                 */
                {
                    slong k;
                    for (k = 0; k < len1; k++)
                        fmpz_randbits(f->coeffs + k, state, bits);
                    if ((f->coeffs)[len1-1] == WORD(0))
                        fmpz_randtest_not_zero(f->coeffs + (len1 - 1), state, bits);
                    f->length = len1;
                }
                {
                    slong k;
                    for (k = 0; k < len2; k++)
                        fmpz_randbits(g->coeffs + k, state, bits);
                    if ((g->coeffs)[len2-1] == WORD(0))
                        fmpz_randtest_not_zero(g->coeffs + (len2 - 1), state, bits);
                    g->length = len2;
                }

              loop:

                timeit_start(t[0]);
                for (l = 0; l < loops; l++)
                    fmpz_poly_compose_horner(h, f, g);
                timeit_stop(t[0]);

                timeit_start(t[1]);
                for (l = 0; l < loops; l++)
                    fmpz_poly_compose_divconquer(h, f, g);
                timeit_stop(t[1]);

                for (c = 0; c < nalgs; c++)
                    if (t[c]->cpu <= cpumin)
                    {
                        loops *= 10;
                        goto loop;
                    }

                for (c = 0; c < nalgs; c++)
                    s[c] += t[c]->cpu;
            }

            if (s[0] <= s[1])
                X[i][j] = 0;
            else
                X[i][j] = 1;
        }
        flint_printf("len1 = %d, time = %wdms\n", len1, s[0] + s[1]), fflush(stdout);
    }
    fmpz_poly_clear(f);
    fmpz_poly_clear(g);
    fmpz_poly_clear(h);

    /*
       Print 2-D ASCII image of the winning algorithms
     */
    for (i = 0; i < rows; i++)
    {
        for (j = 0; j < cols; j++)
            flint_printf("%d", X[i][j]);
        flint_printf("\n");
    }

    FLINT_TEST_CLEAR(state);

    return 0;
}