/* * Copyright (c) 2008-2020 Stefan Krah. All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions * are met: * * 1. Redistributions of source code must retain the above copyright * notice, this list of conditions and the following disclaimer. * * 2. Redistributions in binary form must reproduce the above copyright * notice, this list of conditions and the following disclaimer in the * documentation and/or other materials provided with the distribution. * * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS "AS IS" AND * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF * SUCH DAMAGE. */ #include "mpdecimal.h" #include #include #include #include static void err_exit(const char *msg) { fprintf(stderr, "%s\n", msg); exit(1); } static mpd_t * new_mpd(void) { mpd_t *x = mpd_qnew(); if (x == NULL) { err_exit("out of memory"); } return x; } /* * Example from: http://en.wikipedia.org/wiki/Mandelbrot_set * * Escape time algorithm for drawing the set: * * Point x0, y0 is deemed to be in the Mandelbrot set if the return * value is maxiter. Lower return values indicate how quickly points * escaped and can be used for coloring. */ static int color_point(const mpd_t *x0, const mpd_t *y0, const long maxiter, mpd_context_t *ctx) { mpd_t *x, *y, *sq_x, *sq_y; mpd_t *two, *four, *c; long i; x = new_mpd(); y = new_mpd(); mpd_set_u32(x, 0, ctx); mpd_set_u32(y, 0, ctx); sq_x = new_mpd(); sq_y = new_mpd(); mpd_set_u32(sq_x, 0, ctx); mpd_set_u32(sq_y, 0, ctx); two = new_mpd(); four = new_mpd(); mpd_set_u32(two, 2, ctx); mpd_set_u32(four, 4, ctx); c = new_mpd(); mpd_set_u32(c, 0, ctx); for (i = 0; i < maxiter && mpd_cmp(c, four, ctx) <= 0; i++) { mpd_mul(y, x, y, ctx); mpd_mul(y, y, two, ctx); mpd_add(y, y, y0, ctx); mpd_sub(x, sq_x, sq_y, ctx); mpd_add(x, x, x0, ctx); mpd_mul(sq_x, x, x, ctx); mpd_mul(sq_y, y, y, ctx); mpd_add(c, sq_x, sq_y, ctx); } mpd_del(c); mpd_del(four); mpd_del(two); mpd_del(sq_y); mpd_del(sq_x); mpd_del(y); mpd_del(x); return i; } int main(int argc, char **argv) { mpd_context_t ctx; mpd_t *x0, *y0; mpd_t *sqrt_2, *xstep, *ystep; mpd_ssize_t prec = 19; long iter = 1000; int points[40][80]; int i, j; clock_t start_clock, end_clock; if (argc != 3) { fprintf(stderr, "usage: ./bench prec iter\n"); exit(1); } prec = strtoll(argv[1], NULL, 10); iter = strtol(argv[2], NULL, 10); mpd_init(&ctx, prec); /* no more MPD_MINALLOC changes after here */ sqrt_2 = new_mpd(); xstep = new_mpd(); ystep = new_mpd(); x0 = new_mpd(); y0 = new_mpd(); mpd_set_u32(sqrt_2, 2, &ctx); mpd_sqrt(sqrt_2, sqrt_2, &ctx); mpd_div_u32(xstep, sqrt_2, 40, &ctx); mpd_div_u32(ystep, sqrt_2, 20, &ctx); start_clock = clock(); mpd_copy(y0, sqrt_2, &ctx); for (i = 0; i < 40; i++) { mpd_copy(x0, sqrt_2, &ctx); mpd_set_negative(x0); for (j = 0; j < 80; j++) { points[i][j] = color_point(x0, y0, iter, &ctx); mpd_add(x0, x0, xstep, &ctx); } mpd_sub(y0, y0, ystep, &ctx); } end_clock = clock(); #ifdef BENCH_VERBOSE for (i = 0; i < 40; i++) { for (j = 0; j < 80; j++) { if (points[i][j] == iter) { putchar('*'); } else if (points[i][j] >= 10) { putchar('+'); } else if (points[i][j] >= 5) { putchar('.'); } else { putchar(' '); } } putchar('\n'); } putchar('\n'); #else (void)points; /* suppress gcc warning */ #endif printf("time: %f\n\n", (double)(end_clock-start_clock)/(double)CLOCKS_PER_SEC); mpd_del(y0); mpd_del(x0); mpd_del(ystep); mpd_del(xstep); mpd_del(sqrt_2); return 0; }