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| #include "stdafx.h"
#include <stdio.h>
#include <stdlib.h>
#include <math.h>
#include <locale.h>
#include <time.h>
#include <omp.h>
double **M(int m, int im, int jm, double ** arr)
{
#pragma omp parallel private(ret)
int i, j;
double ** ret = (double **)malloc((m - 1)*sizeof(double));
#pragma omp for
for (i = 0; i < m; i++)
{
if (i != im)
{
if (i < im)
ret[i] = (double *)malloc((m - 1)*sizeof(double));
else
ret[i - 1] = (double *)malloc((m - 1)*sizeof(double));
#pragma omp for
for (j = 0; j < m; j++)
{
if (j != jm)
{
if (i < im)
{
if (j < jm)
ret[i][j] = arr[i][j];
else
ret[i][j - 1] = arr[i][j];
}
else
{
if (j < jm)
ret[i - 1][j] = arr[i][j];
else
ret[i - 1][j - 1] = arr[i][j];
}
}
}
}
}
return ret;
}
double Det(int m, double ** arr)
{
#pragma omp parallel private(ret)
int i, j = 0;
double ret = 0;
double A;
double ** _arr;
if (m == 2)
{
ret =
arr[0][0] * arr[1][1] -
arr[1][0] * arr[0][1];
}
else
{
#pragma omp parallel for reduction (+:ret)
for (j = 0; j < m; j++)
{
_arr = M(m, 0, j, arr);
ret += (A = (arr[0][j])*pow(-1.0, j)*Det(m - 1, _arr));
for (i = m - 2; 0 < i; i--)
free((void *)_arr[i]);
free((void *)_arr);
}
}
return ret;
}
int ShowVec(int n, double * vec, char ch_end)
{
int j;
int ret = 1;
for (j = 0; j < n && ret; j++)
ret = printf
(
(vec[j] < 0 ? "-%.3f " : " %.3f "),
fabs(vec[j])
);
printf("%c", ch_end);
return ret;
}
int ShowArr(int m, double ** arr, char ch_end)
{
int i;
int ret = 1;
for (i = 0; i < m && ret; i++)
ret = ShowVec(m, arr[i], ch_end);
return ret;
}
int main()
{
setlocale(LC_ALL, "Russian");
srand(time(NULL));
int i, j, m, k;
printf("Введите число неизвестных: ");
scanf_s("%d", &m);
double ** A = (double **)malloc(m*sizeof(double));
double ** A_1 = (double **)malloc(m*sizeof(double));
double * B = (double *)malloc(m*sizeof(double));
double * X = (double *)malloc(m*sizeof(double));
double det = 0;
printf("Выберите способ ввода\n");
printf("1) Рандом;\n");
printf("2) Вручную;\n");
scanf_s("%d", &k);
if (k == 2)
{
printf("Введите матрицу A\n");
for (i = 0; i < m; i++)
{
A[i] = (double *)malloc(m*sizeof(double));
A_1[i] = (double *)malloc(m*sizeof(double));
for (j = 0; j < m; j++)
{
printf("A[%d][%d] = ", i + 1, j + 1);
scanf_s("%lf", &A[i][j]);
}
}
printf("Введите вектор B\n");
for (i = 0; i < m; i++)
{
X[i] = 0;
printf("B[%d] = ", i + 1);
scanf_s("%lf", &B[i]);
}
}
if (k == 1)
{
for (i = 0; i < m; i++)
{
A[i] = (double *)malloc(m*sizeof(double));
A_1[i] = (double *)malloc(m*sizeof(double));
for (j = 0; j < m; j++)
{
A[i][j] = rand() % 10 + 1;
}
}
for (i = 0; i < m; i++)
{
X[i] = 0;
B[i] = rand() % 10 + 1;
}
}
system("pause");
det = Det(m, A);
clock_t time;
time = clock();
#pragma omp parallel private(X)
{
if (Det == 0)
printf("DET = 0\n");
else
{
if (m == 2)
{
A_1[0][0] = (1 / det)*A[1][1];
A_1[0][1] = -(1 / det)*A[0][1];
A_1[1][0] = -(1 / det)*A[1][0];
A_1[1][1] = (1 / det)*A[1][1];
}
else
#pragma omp for
for (i = 0; i < m; i++)
#pragma omp for
for (j = 0; j < m; j++)
A_1[j][i] = (1 / det)*pow(-1.0, (i + j))*Det(m - 1, M(m, i, j, A));
#pragma omp parallel for reduction (+:X)
for (i = 0; i < m; i++)
#pragma omp parallel for reduction (+:X)
for (j = 0; j < m; j++)
X[i] += A_1[i][j] * B[j];
}
}
time = clock() - time;
system("cls");
printf("Матрица A\n");
ShowArr(m, A, '\n');
printf("Вектор B\n");
ShowVec(m, B, '\n');
printf("Обратная матрица A\n");
ShowArr(m, A_1, '\n');
printf("Вектор X\n");
ShowVec(m, X, '\n');
printf("Детерминант: %.3f\n", det);
printf("Время: %f\n", (double)time / CLOCKS_PER_SEC);
system("pause");
return 0;
} |
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