2nd_Sem_Bogachev/2025.03.28/04Ex/solve.c
2025-03-26 16:38:15 +03:00

106 lines
2.1 KiB
C

#include "solve.h"
#include "matrix.h"
#include <math.h>
void t4_solve(const double * restrict A, double * restrict x_0, const double * restrict b, double * restrict x, double * restrict r, int n, int m)
{
for (int k = 0; k < m; ++k)
{
double *swap_temp = 0;
double t = 0;
double dot_Ar_r = 0, dot_Ar_Ar = 0;
#pragma omp parallel for
for (int i = 0; i < n; ++i)
{
double sum = 0;
#pragma omp simd reduction(+:sum)
for (int j = 0; j < n; ++j)
sum += A[i*n + j] * x_0[j];
r[i] = sum - b[i];
}
#pragma omp parallel for reduction(+:dot_Ar_r, dot_Ar_Ar)
for (int i = 0; i < n; ++i)
{
double ri = r[i];
double sum = 0;
#pragma omp simd reduction(+:sum)
for (int j = 0; j < n; ++j)
sum += A[i*n + j] * r[j];
dot_Ar_r += sum * ri;
dot_Ar_Ar += sum * sum;
}
t = dot_Ar_r / dot_Ar_Ar;
#pragma omp simd
for (int i = 0; i < n; ++i)
x[i] = x_0[i] - r[i]*t;
swap_temp = x;
x = x_0;
x_0 = swap_temp;
}
if (m % 2 == 0) // Проверил 100 раз
#pragma omp simd
for (int i = 0; i < n; i++)
{
double temp = x[i];
x[i] = x_0[i];
x_0[i] = temp;
}
else
{
double * swap_temp = x;
x = x_0;
x_0 = swap_temp;
}
}
double get_r1(const double * restrict A, const double * restrict x_k, const double * restrict b, int n)
{
double norm_r1x_1 = 0;
double residual_norm_1 = 0;
double r1 = 0;
#pragma omp parallel for reduction(+:residual_norm_1, norm_r1x_1)
for (int i = 0; i < n; ++i)
{
double bi = b[i];
double sum = 0;
#pragma omp simd reduction(+:sum)
for (int j = 0; j < n; ++j)
sum += A[i*n + j] * x_k[j];
residual_norm_1 += fabs(sum - bi);
norm_r1x_1 += fabs(bi);
}
r1 = residual_norm_1 / norm_r1x_1;
return r1;
}
double get_r2_value(const double * restrict x_k, int n)
{
double relative_error = 0;
double total_diff = 0;
double template_sum = 0;
#pragma omp parallel for reduction(+:total_diff, template_sum)
for (int i = 0; i < n; ++i)
{
short int modi = i ^ 1;
total_diff += fabs(x_k[i] - modi);
template_sum += modi;
}
relative_error = total_diff / template_sum;
return relative_error;
}