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LUcol.c
100 lines (91 loc) · 2.12 KB
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LUcol.c
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#include <math.h>
#include <stdio.h>
#include <time.h>
#define nmax 700
#define E 0.0001 /*erro*/
void swap(double* a, double* b) {
double temp;
temp = *a;
*a = *b;
*b = temp;
}
int lucol(int n, double A[][nmax], int p[]) {
int i, j, k, imax;
for (k = 0; k < n - 1; k ++) {
imax = k;
for (i = k + 1; i < n; i ++)
if (fabs(A[i][k]) > fabs(A[imax][k]))
imax = i;
p[k] = imax;
if (imax != k)
for (j = 0; j < n; j ++)
swap(&A[k][j], &A[imax][j]);
if (fabs(A[k][k]) < E)
return -1;
for (i = k + 1; i < n; i ++)
A[i][k] = A[i][k]/A[k][k];
for (j = k + 1; j < n; j ++)
for (i = k + 1; i < n; i ++)
A[i][j] -= A[k][j]*A[i][k];
}
if (fabs(A[n-1][n-1]) < E)
return -1;
return 0;
}
int sscol(int n, double A[][nmax], int p[], double b[]) {
int i, j;
for (i = 0; i < n - 1; i ++)
swap(&b[i], &b[p[i]]);
for (j = 0; j < n; j ++) {
for (i = j + 1; i < n; i ++)
b[i] -= A[i][j]*b[j];
}
for (j = n - 1; j >= 0; j --) {
b[j] = b[j]/A[j][j];
for (i = j - 1; i >= 0; i --)
b[i] -= A[i][j]*b[j];
}
return 0;
}
int main() {
char file_name[100];
FILE *file;
double A[nmax][nmax], b[nmax], duration;
int n, i, j, k, p[nmax];
clock_t start, end;
printf("Nome do Arquivo: ");
scanf("%s", file_name);
file = fopen(file_name, "r");
if (file == NULL) {
fprintf(stderr, "Não foi possível abrir o arquivo!\n");
return -1;
}
fscanf(file, "%d", &n);
for (k = 0; k < n*n; k ++) {
fscanf(file, "%d %d", &i, &j);
fscanf(file, "%lf", &A[i][j]);
}
for (k= 0; k < n; k ++) {
fscanf(file, "%d", &i);
fscanf(file, "%lf", &b[i]);
}
start = clock();
if (lucol(n, A, p) == -1) {
printf("Matriz é singular.\n");
return -1;
}
end = clock();
duration = (double)(end - start) / CLOCKS_PER_SEC;
printf("Lucol tempo %e segundos\n", duration);
start = clock();
sscol(n, A, p, b);
end = clock();
duration = (double)(end - start) / CLOCKS_PER_SEC;
printf("Sscol tempo %e segundos\n", duration);
for (i = 0; i < n; i ++) {
if (b[i] - (1 + i%(n/100)) > E || b[i] - (1 + i%(n/100)) < -E)
printf("Erro! %e %d %d\n", b[i],-(1 + i%(n/100)), i);
}
printf("Fim da Análise!\n");
return 0;
}