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square-matrix-multiply-recursive.c
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#include <stdio.h>
typedef struct square_matrix
{
int rows;
int *element;
int root_rows;
int row_start;
int column_start;
}square_matrix;
void set_square_matrix(square_matrix *sm, int rows, int *element)
{
sm->root_rows = sm->rows = rows;
sm->element = element;
sm->row_start = 0;
sm->column_start = 0;
}
void copy_form_c(square_matrix *c, int *ccopy)
{
int i, j, k = 0;
for (i = c->row_start; i < c->row_start + c->rows; i++)
{
for (j = c->column_start; j < c->column_start + c->rows; j++)
{
ccopy[k] = c->element[i*c->root_rows+j];
k++;
}
}
}
void add_to_c(square_matrix *c, int *ccopy)
{
int i, j, k = 0;
for (i = c->row_start; i < c->row_start + c->rows; i++)
{
for (j = c->column_start; j < c->column_start + c->rows; j++)
{
c->element[i*c->root_rows+j] += ccopy[k];
k++;
}
}
}
void print_square_matrix_element_by_root_rows(square_matrix *sm)
{
int i,j;
for (i = 0; i < sm->root_rows; i++)
{
for (j = 0; j < sm->root_rows; j++)
{
printf("%3d",sm->element[i*sm->root_rows+j]);
}
printf("\n");
}
printf("-----------------------------------------------\n");
}
void square_matrix_multiply_recursive(square_matrix *a, square_matrix *b, square_matrix *c)
{
int n = a->rows;
if (n == 1)
{
c->element[c->row_start * c->root_rows + c->column_start] =
a->element[a->row_start * a->root_rows + a->column_start] * b->element[b->row_start * b->root_rows + b->column_start];
}
else
{
int rowa = a->row_start, columna = a->column_start;
int rowb = b->row_start, columnb = b->column_start;
int rowc = c->row_start, columnc = c->column_start;
a->rows /= 2;
b->rows /= 2;
c->rows /= 2;
int ccopy[c->rows * c->rows]; // c copy
int a11_row_start = rowa, a11_column_start = columna;
int a12_row_start = rowa, a12_column_start = columna + a->rows;
int a21_row_start = rowa + a->rows, a21_column_start = columna;
int a22_row_start = rowa + a->rows, a22_column_start = columna + a->rows;
int b11_row_start = rowb, b11_column_start = columnb;
int b12_row_start = rowb, b12_column_start = columnb + b->rows;
int b21_row_start = rowb + b->rows, b21_column_start = columnb;
int b22_row_start = rowb + b->rows, b22_column_start = columnb + b->rows;
int c11_row_start = rowc, c11_column_start = columnc;
int c12_row_start = rowc, c12_column_start = columnc + c->rows;
int c21_row_start = rowc + c->rows, c21_column_start = columnc;
int c22_row_start = rowc + c->rows, c22_column_start = columnc + c->rows;
c->row_start = c11_row_start;
c->column_start = c11_column_start;
a->row_start = a11_row_start;
a->column_start = a11_column_start;
b->row_start = b11_row_start;
b->column_start = b11_column_start;
square_matrix_multiply_recursive(a, b, c);
print_square_matrix_element_by_root_rows(c); //
copy_form_c(c, ccopy);
a->row_start = a12_row_start;
a->column_start = a12_column_start;
b->row_start = b21_row_start;
b->column_start = b21_column_start;
square_matrix_multiply_recursive(a, b, c);
print_square_matrix_element_by_root_rows(c); //
add_to_c(c, ccopy);
print_square_matrix_element_by_root_rows(c); //
c->row_start = c12_row_start;
c->column_start = c12_column_start;
a->row_start = a11_row_start;
a->column_start = a11_column_start;
b->row_start = b12_row_start;
b->column_start = b12_column_start;
square_matrix_multiply_recursive(a, b, c);
print_square_matrix_element_by_root_rows(c); //
copy_form_c(c, ccopy);
a->row_start = a12_row_start;
a->column_start = a12_column_start;
b->row_start = b22_row_start;
b->column_start = b22_column_start;
square_matrix_multiply_recursive(a, b, c);
print_square_matrix_element_by_root_rows(c); //
add_to_c(c, ccopy);
print_square_matrix_element_by_root_rows(c); //
c->row_start = c21_row_start;
c->column_start = c21_column_start;
a->row_start = a21_row_start;
a->column_start = a21_column_start;
b->row_start = b11_row_start;
b->column_start = b11_column_start;
square_matrix_multiply_recursive(a, b, c);
print_square_matrix_element_by_root_rows(c); //
copy_form_c(c, ccopy);
a->row_start = a22_row_start;
a->column_start = a22_column_start;
b->row_start = b21_row_start;
b->column_start = b21_column_start;
square_matrix_multiply_recursive(a, b, c);
print_square_matrix_element_by_root_rows(c); //
add_to_c(c, ccopy);
print_square_matrix_element_by_root_rows(c); //
c->row_start = c22_row_start;
c->column_start = c22_column_start;
a->row_start = a21_row_start;
a->column_start = a21_column_start;
b->row_start = b12_row_start;
b->column_start = b12_column_start;
square_matrix_multiply_recursive(a, b, c);
print_square_matrix_element_by_root_rows(c); //
copy_form_c(c, ccopy);
a->row_start = a22_row_start;
a->column_start = a22_column_start;
b->row_start = b22_row_start;
b->column_start = b22_column_start;
square_matrix_multiply_recursive(a, b, c);
print_square_matrix_element_by_root_rows(c); //
add_to_c(c, ccopy);
print_square_matrix_element_by_root_rows(c); //
a->rows *= 2;
b->rows *= 2;
c->rows *= 2;
a->row_start = rowa;
b->row_start = rowb;
c->row_start = rowc;
a->column_start = columna;
b->column_start = columnb;
c->column_start = columnc;
}
}
void test_square_matrix_multiply_recursive()
{
square_matrix a;
int a_element[4][4] = { 1, 2, 3, 4,
5, 6, 7, 8,
9,10,11,12,
13,14,15,16 };
square_matrix b;
int b_element[4][4] = { 1, 1, 1, 1,
1, 1, 1, 1,
1, 1, 1, 1,
1, 1, 1, 1 };
square_matrix c;
int c_element[4][4] = { 0 };
set_square_matrix(&a, 4, (int *)a_element);
set_square_matrix(&b, 4, (int *)b_element);
set_square_matrix(&c, 4, (int *)c_element);
square_matrix_multiply_recursive(&a, &b, &c);
//print_square_matrix_element(&a);
//print_square_matrix_element(&b);
//print_square_matrix_element(&c);
}
int main(int argc, const char *argv[])
{
test_square_matrix_multiply_recursive();
return 0;
}