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utilization.c
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utilization.c
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/*
*
* Copyright 2015 Vincent Legout <vincent@legout.info>
*
* Permission is hereby granted, free of charge, to any person
* obtaining a copy of this software and associated documentation
* files (the "Software"), to deal in the Software without
* restriction, including without limitation the rights to use, copy,
* modify, merge, publish, distribute, sublicense, and/or sell copies
* of the Software, and to permit persons to whom the Software is
* furnished to do so, subject to the following conditions:
* The above copyright notice and this permission notice shall be
* included in all copies or substantial portions of the Software.
* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
* EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
* NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS
* BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN
* ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
* CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
* SOFTWARE.
*
*/
#include <limits.h>
#include <math.h>
#include <stdio.h>
#define U_INC 0.001
/* Set the number of tasks to +inf */
#define N ((double)INT_MAX)
#define BUDGET 5.0
#define PERIOD 10.0
#define P_MIN 20.0
#define N_VM 4
int get_k(double p_min)
{
int k = 0;
double tmp;
do {
k++;
tmp = (k + 1) * PERIOD - BUDGET;
#ifndef RM
tmp -= (k * BUDGET) / (k + 2);
#endif
} while (tmp < p_min);
return k - 1;
}
double get_edf_bound(double u, int k)
{
if (k <= 0)
k = (double)get_k(P_MIN);
/* return (k * BUDGET / PERIOD) / (k + 2 * (1 - (BUDGET / PERIOD))); */
return (k * u) / (k + 2 * (1 - u));
}
double get_rm_bound(double u, int k)
{
if (k <= 0)
k = (double)get_k(P_MIN);
double r;
r = (2 * k + 2 * (1 - u)) / (k + 2 * (1 - u));
r = pow(r, 1 / N);
r = r - 1;
r = u * N * r;
return r;
}
int main(void)
{
double bound, i;
int j;
int k[] = {1, 2, 4, 16};
int len_k = 4;
printf("U");
for (j = 0; j < len_k; j++)
printf(" k=%d", k[j]);
printf("\n");
for (i = 0; i < 1.0; i += U_INC) {
printf("%lf", i);
for (j = 0; j < len_k; j++) {
#ifdef RM
bound = get_rm_bound(i, k[j]);
#else
bound = get_edf_bound(i, k[j]);
#endif
printf(" %lf", pow(bound, N_VM));
}
printf("\n");
}
return 0;
}