262 lines
7.8 KiB
C
262 lines
7.8 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) 2010 Sebastian Pancratz
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Copyright (C) 2011 William Hart
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******************************************************************************/
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#include <stdio.h>
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#include <stdlib.h>
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#include <gmp.h>
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#include <float.h>
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#include <math.h>
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#include "flint.h"
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#include "fmpz.h"
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#include "fmpz_poly.h"
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#include "ulong_extras.h"
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#include "profiler.h"
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/*
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Definitions for the parameters of the timing process.
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lenlo Minimum length
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lenhi Maximum length
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lenh Factor by which length increases at each step
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bitslo Minimum bit size
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bitshi Maximum bit size
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bitsh Factor by which bitsize increases at each step
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cutoff Maximum product of length*bits
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cols Number of different lengths
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rows Number of different bit sizes
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cpumin Minimum number of ms spent on each test case
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ncases Number of test cases per point (length, bit size)
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nalgs Number of algorithms
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img Whether an RGB coloured image should be produced
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imgname File name for image
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*/
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#define lenlo 16
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#define lenhi 131072
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#define lenh 2
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#define bitslo 256
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#define bitshi 67108864
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#define bitsh 2
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#define cutoff WORD(22000000000)
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#define cols ((slong)(log((double)lenhi/(double)lenlo)/log(lenh) + 1.5))
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#define rows ((slong)(log((double)bitshi/(double)bitslo)/log(bitsh) + 1.5))
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#define cpumin 100
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#define ncases 1
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#define nalgs 2
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#define img 1
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#define imgname "out.ppm"
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/*
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Write a binary 24-bit ppm image.
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*/
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int write_rgb_ppm(const char* file_name, unsigned char* pixels,
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unsigned int width, unsigned int height)
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{
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FILE* file = fopen(file_name, "wb");
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if (file == NULL)
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return -1;
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flint_fprintf(file, "P6\n%d %d\n255\n", width, height);
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fwrite(pixels, sizeof(unsigned char), width * height * 3, file);
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fclose(file);
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return 0;
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}
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int
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main(void)
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{
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slong i, j, k, len, bits;
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int X[rows][cols];
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double T[rows][cols][nalgs];
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fmpz_poly_t f, g, h;
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FLINT_TEST_INIT(state);
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fmpz_poly_init2(f, lenhi);
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fmpz_poly_init2(g, lenhi);
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fmpz_poly_init2(h, 2*lenhi - 1);
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for (len = lenlo, j = 0; len <= lenhi; len *= lenh, j++)
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{
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slong s[nalgs], sum;
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for (bits = bitslo, i = 0; bits <= bitshi; bits *= bitsh, i++)
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{
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int c, n, reps = 0, none = 0;
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for (c = 0; c < nalgs; c++)
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s[c] = WORD(0);
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for (n = 0; n < ncases; n++)
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{
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timeit_t t[nalgs];
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int l, loops = 1;
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if (bits*len <= cutoff)
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{ /*
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Construct random polynomials f and g
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*/
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{
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slong k;
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for (k = 0; k < len; k++)
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{
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fmpz_randbits(f->coeffs + k, state, bits);
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fmpz_randbits(g->coeffs + k, state, bits);
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}
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if ((f->coeffs)[len-1] == WORD(0))
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fmpz_randtest_not_zero(f->coeffs + (len - 1), state, bits);
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if ((g->coeffs)[len-1] == WORD(0))
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fmpz_randtest_not_zero(g->coeffs + (len - 1), state, bits);
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f->length = len;
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g->length = len;
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}
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loop:
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timeit_start(t[0]);
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for (l = 0; l < loops; l++)
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fmpz_poly_mul_KS(h, f, g);
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timeit_stop(t[0]);
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timeit_start(t[1]);
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for (l = 0; l < loops; l++)
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fmpz_poly_mul_SS(h, f, g);
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timeit_stop(t[1]);
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for (c = 0; c < nalgs; c++)
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if (t[c]->cpu <= 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]->cpu;
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reps += loops;
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} else
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none = 1;
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}
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for (c = 0; c < nalgs; c++)
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T[i][j][c] = s[c] / (double) reps;
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if (none)
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X[i][j] = -1;
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else if (s[0] <= s[1] && s[0] <= s[2])
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X[i][j] = 0;
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else if (s[1] <= s[2])
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X[i][j] = 1;
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else
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X[i][j] = 2;
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if (s[0] != 0)
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{
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sum = 0;
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for (c = 0; c < nalgs; c++)
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sum += s[c];
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}
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}
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flint_printf("len = %wd, time = %wdms\n", len, sum), fflush(stdout);
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for (k = 0; k < rows; k++)
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{
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if (X[k][j] == -1)
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flint_printf(" ");
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else
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flint_printf("%d", X[k][j]);
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}
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flint_printf("\n");
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}
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fmpz_poly_clear(f);
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fmpz_poly_clear(g);
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fmpz_poly_clear(h);
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/*
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Print 2-D ASCII image of the winning algorithms
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*/
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for (i = 0; i < rows; i++)
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{
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for (j = 0; j < cols; j++)
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{
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if (X[i][j] == -1)
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flint_printf(" ");
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else
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flint_printf("%d", X[i][j]);
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}
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flint_printf("\n");
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}
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/*
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Print 2-D coloured image to file
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*/
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if (img)
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{
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unsigned char * PIXELS;
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int k;
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PIXELS = (unsigned char *) flint_malloc(3 * rows * cols * sizeof(unsigned char));
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k = 0;
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for (i = 0; i < rows; i++)
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{
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for (j = 0; j < cols; j++)
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{
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double max = DBL_MIN, v[nalgs];
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int m;
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if (X[i][j] == -1)
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{
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for (m = 0; m < 3; m++)
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PIXELS[k++] = (unsigned char) 0;
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} else
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{
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for (m = 0; m < nalgs; m++)
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{
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v[m] = T[i][j][m] - T[i][j][X[i][j]];
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if (v[m] > max)
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max = v[m];
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}
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for (m = 0; m < nalgs; m++)
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{
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v[m] = (max - v[m]) / max;
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PIXELS[k++] = (unsigned char) (v[m] * 255);
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}
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for (; m < 3; m++)
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PIXELS[k++] = (unsigned char) 0;
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}
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}
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}
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k = write_rgb_ppm(imgname, PIXELS, cols, rows);
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flint_free(PIXELS);
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if (k)
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{
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flint_printf("Exception: writing ppm image failed\n");
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}
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}
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flint_randclear(state);
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}
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