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/*
* 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 <stdint.h>
#include <stdio.h>
#include <stdlib.h>
#include <time.h>
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;
}
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