File: rand.c

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/*
 * SPDX-License-Identifier: BSD-3-Clause
 *
 * Copyright © 2019 Keith Packard
 *
 * 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.
 *
 * 3. Neither the name of the copyright holder nor the names of its
 *    contributors may be used to endorse or promote products derived
 *    from this software without specific prior written permission.
 *
 * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS 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
 * COPYRIGHT HOLDER 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.
 */
#define _DEFAULT_SOURCE
#include <stdio.h>
#include <stdlib.h>
#include <math.h>
#include <stdbool.h>
#include <stdint.h>

static bool
near(double got, double target, double close)
{
    if (got < target - close)
        return false;
    if (got > target + close)
        return false;
    return true;
}

static double
random_double(void)
{
    return (double)random() / 0x7fffffffL;
}

static double
rand_double(void)
{
    return (double)rand() / RAND_MAX;
}

static const struct {
    char  *name;
    double (*func)(void);
    double mean_err;
    double stddev_err;
} funcs[] = {
    {
     .name = "drand48",
     .func = drand48,
     .mean_err = 0.01,
     .stddev_err = 0.02,
     },
    {
     .name = "random",
     .func = random_double,
     .mean_err = 0.01,
     .stddev_err = 0.02,
     },
    {
     .name = "rand",
     .func = rand_double,
     .mean_err = 0.01,
     .stddev_err = 0.02,
     },
};

int
main(void)
{
    int32_t  i;
    int      ret = 0;
    unsigned f;

    for (f = 0; f < sizeof(funcs) / sizeof(funcs[0]); f++) {
        double s1 = 0;
        double s2 = 0;
        int    pass = 1;
#define N 1000
        printf("Testing %s...", funcs[f].name);
        fflush(stdout);
        for (i = 0; i < N; i++) {
            double d = funcs[f].func();
            s1 += d;
            s2 += d * d;
        }
        double mean = s1 / N;
        double stddev = sqrt((N * s2 - s1 * s1) / ((double)N * ((double)N - 1)));
        if (!near(mean, .5, funcs[f].mean_err)) {
            printf(" bad mean %g", mean);
            ret = 1;
            pass = 0;
        }
        if (!near(stddev, .28, funcs[f].stddev_err)) {
            printf(" bad stddev %g", stddev);
            ret = 2;
            pass = 0;
        }
        if (pass)
            printf(" pass");
        printf("\n");
    }
    return ret;
}