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winograd.cpp
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winograd.cpp
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#include <stdio.h>
#include <stdlib.h>
#include <time.h>
void printMatrix(const char* str, float* a, int m, int n)
{
int i,j;
printf(" Matrix %s \n", str);
for(i = 0; i< m; i++)
{
for(j=0; j<n; j++)
printf(" %f ", a[i*n+j]);
// printf("\n");
}
printf("\n");
}
float* matrixTranspose(float* a, int m, int n)
{
float* re = (float*) malloc( sizeof(float) * m * n);
int i,j;
for(i=0; i<m; i++)
for(j=0; j<n; j++)
re[j*m + i] = a [i*n+j];
return re;
}
float* matrixMul(float* a, float* b, int m, int k, int n)
{
float* re = (float*) malloc( sizeof(float) * m * n);
int i,j,l;
for(i=0; i< m; i++)
for(j=0; j<n; j++)
{
float sum = 0;
for(l=0; l<k; l++)
sum+= a[i*k+l] * b[l*n+j];
re[i*n+j] = sum;
}
return re;
}
float* matrixDotProduct(float* a, float*b, int m, int n)
{
float* re = (float*) malloc(sizeof(float) * m * n);
int i,j;
for(i = 0; i<m; i++)
for(j=0; j<n; j++)
re[i*n+j] = a[i*n+j] * b[i*n+j];
return re;
}
float* winograd_m2r3(float* matrix_d, float* matrix_g)
{
float matrix_Bt[16] = {1,0,-1,0, 0,1,1,0, 0,-1,1,0, 0,1,0,-1};
float matrix_B[16] = {1,0,0,0,0,1,-1,1,-1,1,1,0,0,0,0,-1};
// float* matrix_B = matrixTranspose(matrix_Bt, 4,4);
// printMatrix("Matrix_B", matrix_B, 4,4);
float matrix_G[12] = {1,0,0, 0.5,0.5,0.5, 0.5,-0.5,0.5, 0,0,1};
float matrix_Gt[12] = {1,0.5,0.5,0,0,0.5,-0.5,0,0,0.5,0.5,1};
// float* matrix_Gt = matrixTranspose(matrix_G, 4,3);
// printMatrix("Matrix_Gt", matrix_Gt, 3,4);
float matrix_At[8] = {1,1,1,0, 0,1,-1,-1};
float matrix_A[8] = {1,0,1,1,1,-1,0,-1};
// float* matrix_A = matrixTranspose(matrix_At, 2,4);
// printMatrix("Matrix_A", matrix_A, 4,2);
float* matrix_Gg = matrixMul(matrix_G, matrix_g, 4,3,3);
float* matrix_U = matrixMul(matrix_Gg, matrix_Gt, 4,3,4);
float* matrix_Btd = matrixMul(matrix_Bt, matrix_d, 4,4,4);
float* matrix_V = matrixMul(matrix_Btd, matrix_B, 4,4,4);
// float* matrix_U = matrixMul(matrixMul(matrix_G, matrix_g, 4,3,3), matrix_Gt, 4,3,4);
// float* matrix_V = matrixMul(matrixMul(matrix_Bt, matrix_d, 4,4,4), matrix_B, 4,4,4);
// printMatrix("UUUUU", matrix_U, 4,4);
// printMatrix("VVVVV", matrix_V, 4,4);
float* matrix_UV = matrixDotProduct(matrix_U, matrix_V, 4,4);
float* re = matrixMul(matrixMul(matrix_At, matrix_UV, 2,4,4), matrix_A, 2,4,2);
return re;
}
float* conv_direct(float* d, float* g, int d_h, int d_w)
{
int g_w = 3;
int g_h = 3;
int slide = 1;
int re_w = d_w - g_w + 1;
int re_h = d_h - g_h + 1;
float* re = (float*) malloc ( sizeof(float) * re_w * re_h);
int i,j,k,l;
for(i=0; i*slide + g_h <= d_h; i++)
for(j=0; j*slide + g_w <= d_w; j++)
{
float sum = 0;
for(k=0; k<g_h; k++)
for(l=0; l<g_w; l++)
sum += d[(i*slide+k) * d_w + j*slide + l ] * g[k*g_w + l];
re[i*re_w + j] = sum;
// if(i==5) printf(" sum = %f \n", sum);
}
return re;
}
float* winograd(float* matrix_d, float* matrix_g, int d_h, int d_w)
{
int g_w = 3;
int g_h = 3;
int tile_w = 4;
int tile_h = 4;
int re_w = d_w - g_w + 1; // width - (r-1)
int re_h = d_h - g_h + 1;
float* re = (float*) malloc(sizeof(float) * re_w * re_h);
int numTile_w = (d_w - tile_w) / (g_w - 1) + 1;
int numTile_h = (d_w - tile_h) / (g_h - 1) + 1;
// float* winoTile = (float*) malloc(sizeof(float) * tile_w * tile_h);
int i,j,k,l, s,t;
float winoTile[16] = {0.032000, 0.096000, 0.028000, 0.085000, 0.015000, 0.053000, 0.013000, 0.010000, 0.058000, 0.063000, 0.007000, 0.081000, 0.077000, 0.049000, 0.019000, 0.017000};
float* re_Tile = winograd_m2r3(winoTile, matrix_g);
printf(" re_Tile[0] = %f", re_Tile[0]);
/*
for(i=0; i<numTile_h; i++)
for(j=0; j<numTile_w; j++)
{
int start_h = i * (tile_h - (g_h -1));
int start_w = j * (tile_w - (g_w -1));
for(k=0; k<tile_h; k++)
for(l=0; l<tile_w; l++)
winoTile[k*tile_w + l] = matrix_d[(start_h + k) * d_w + start_w + l];
float* re_Tile = winograd_m2r3(winoTile, matrix_g);
for(s=0; s<2; s++)
for(t=0; t<2; t++)
re[(i*2 + s)* numTile_w * 2 + j * 2 + t] = re_Tile[s*2+t];
}
*/
return re;
}
int main(int argc, char** argv)
{
// float matrix_d[16] = {1,2,3,4, 5,6,7,8, 9,10,11,12, 13,14,15,16};
// float matrix_g[9] = {1,1,1, 1,1,1, 1,1,1};
float* matrix_d = (float*) malloc(sizeof(float)*64);
int i,j;
srand((unsigned)time(NULL));
for(i=0; i<64; i++)
matrix_d[i] = rand()%30;
// float matrix_d[64] = {1,3,2,6,13,9,7,8, 2,6,1,1,9,9,11,12, 9,10,7,12,6,14,15,16, 1,14,3,99,17,18,19,20, 18,19,2,21,3,23,24,25, 26,27,28,29,30,31,32,33, 34,35,36,37,38,39,40,41, 42,43,44,45,46,47,48,49};
// float matrix_g[9] = {1,2,3, 4,5,6, 7,8,9};
float matrix_g[9] = {0.073000, 0.085000, 0.023000, 0.078000, 0.083000, 0.052000, 0.049000, 0.026000, 0.071000};
float* re_direct = conv_direct(matrix_d, matrix_g, 8,8);
printMatrix("direct", re_direct, 6,6);
float* re_winograd = winograd(matrix_d, matrix_g, 8,8);
printMatrix("winograd", re_winograd, 6,6);
// float* re_winograd = winograd_m2r3(matrix_d, matrix_g);
// printMatrix("winograd", re_winograd, 2,2);
return 0;
}