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trans.c
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trans.c
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/*
* trans.c - Matrix transpose B = A^T
*
* Each transpose function must have a prototype of the form:
* void trans(int M, int N, int A[N][M], int B[M][N]);
*
* A transpose function is evaluated by counting the number of misses
* on a 1KB direct mapped cache with a block size of 32 bytes.
*
* Student: Qi Liu (519021910529, [email protected])
*/
#include <stdio.h>
#include "cachelab.h"
int is_transpose(int M, int N, int A[N][M], int B[M][N]);
/*
* transpose_submit - This is the solution transpose function that you
* will be graded on for Part B of the assignment. Do not change
* the description string "Transpose submission", as the driver
* searches for that string to identify the transpose function to
* be graded.
*/
char transpose_submit_desc[] = "Transpose submission";
#define BLOCK_SIZE 23
// 259/300, 1203/1300, 1928/2000
void transpose_submit(int M, int N, int A[N][M], int B[M][N]){
register int ii, jj, i, j, c0, c1, c2, c3, c4, c5, c6, c7;
if(M == 32 && N == 32){
for(ii = 0; ii < 4; ++ii){
for(jj = 0; jj < 4; ++jj){
if(ii == jj){
for(i = 0; i < 8; ++i){
c0 = A[ii*8+i][jj*8+0];
c1 = A[ii*8+i][jj*8+1];
c2 = A[ii*8+i][jj*8+2];
c3 = A[ii*8+i][jj*8+3];
c4 = A[ii*8+i][jj*8+4];
c5 = A[ii*8+i][jj*8+5];
c6 = A[ii*8+i][jj*8+6];
c7 = A[ii*8+i][jj*8+7];
B[ii*8+i][jj*8+0] = c0;
B[ii*8+i][jj*8+1] = c1;
B[ii*8+i][jj*8+2] = c2;
B[ii*8+i][jj*8+3] = c3;
B[ii*8+i][jj*8+4] = c4;
B[ii*8+i][jj*8+5] = c5;
B[ii*8+i][jj*8+6] = c6;
B[ii*8+i][jj*8+7] = c7;
}
for(i = 0; i < 8; ++i)
for(j = 0; j < i; ++j){
c0 = B[ii*8+i][jj*8+j];
B[ii*8+i][jj*8+j] = B[jj*8+j][ii*8+i];
B[jj*8+j][ii*8+i] = c0;
}
}
else
for(i = 0; i < 8; ++i)
for(j = 0; j < 8; ++j)
B[jj*8+i][ii*8+j] = A[ii*8+j][jj*8+i];
}
}
}
else if(M == 64 && N == 64){
for(ii = 0; ii < N/8; ++ii){
for(jj = 0; jj < M/8; ++jj){
if(ii == jj){
for(i = 0; i < 4; ++i){
for(j = 0; j < 4; ++j){
if(i % 4 == j % 4){
if(i % 4 != 0)
B[jj*8+j-1][ii*8+i-1] = c0;
c0 = A[ii*8+i][jj*8+j];
continue;
}
B[jj*8+j][ii*8+i] = A[ii*8+i][jj*8+j];
}
}
for(i = 4; i < 8; ++i){
for(j = 0; j < 4; ++j){
if(i % 4 == j % 4){
if(i % 4 != 0)
B[jj*8+j-1][ii*8+i-1] = c1;
c1 = A[ii*8+i][jj*8+j];
continue;
}
B[jj*8+j][ii*8+i] = A[ii*8+i][jj*8+j];
}
}
B[jj*8+3][ii*8+3] = c0;
B[jj*8+3][ii*8+7] = c1;
for(i = 4; i < 8; ++i){
for(j = 4; j < 8; ++j){
if(i % 4 == j % 4){
if(i % 4 != 0)
B[jj*8+j-1][ii*8+i-1] = c0;
c0 = A[ii*8+i][jj*8+j];
continue;
}
B[jj*8+j][ii*8+i] = A[ii*8+i][jj*8+j];
}
}
for(i = 0; i < 4; ++i){
for(j = 4; j < 8; ++j){
if(i % 4 == j % 4){
if(i % 4 != 0)
B[jj*8+j-1][ii*8+i-1] = c1;
c1 = A[ii*8+i][jj*8+j];
continue;
}
B[jj*8+j][ii*8+i] = A[ii*8+i][jj*8+j];
}
}
B[jj*8+7][ii*8+3] = c1;
B[jj*8+7][ii*8+7] = c0;
}
else{
for(i = 0; i < 4; ++i){
for(j = 0; j < 4; ++j){
B[jj*8+j][ii*8+i] = A[ii*8+i][jj*8+j];
}
}
for(i = 0; i < 4; ++i) // trans(A[0~3][4~7]) -> B[0~3][4~7]
for(j = 4; j < 8; ++j)
B[jj*8+j-4][ii*8+i+4] = A[ii*8+i][jj*8+j];
for(j = 0; j < 4; ++j){ // B[0~3][4~7] -> B[4~7][0~3]
c4 = B[jj*8+j][ii*8+4];
c5 = B[jj*8+j][ii*8+5];
c6 = B[jj*8+j][ii*8+6];
c7 = B[jj*8+j][ii*8+7];
for(i = 4; i < 8; ++i)
B[jj*8+j][ii*8+i] = A[ii*8+i][jj*8+j];
B[jj*8+j+4][ii*8+0] = c4;
B[jj*8+j+4][ii*8+1] = c5;
B[jj*8+j+4][ii*8+2] = c6;
B[jj*8+j+4][ii*8+3] = c7;
}
for(i = 4; i < 8; ++i){
for(j = 4; j < 8; ++j){
B[jj*8+j][ii*8+i] = A[ii*8+i][jj*8+j];
}
}
}
}
}
}
else{
// Original Block-transposition Code
//
// for(ii = 0; ii < N/BLOCK_SIZE; ++ii){
// for(jj = 0; jj < M/BLOCK_SIZE; ++jj){
// for(i = 0; i < BLOCK_SIZE; ++i)
// for(j = 0; j < BLOCK_SIZE; ++j)
// B[jj*BLOCK_SIZE+j][ii*BLOCK_SIZE+i] = A[ii*BLOCK_SIZE+i][jj*BLOCK_SIZE+j];
// }
// for(j = jj*BLOCK_SIZE; j < M; ++j){
// for(i = 0; i < BLOCK_SIZE; ++i)
// B[j][ii*BLOCK_SIZE+i] = A[ii*BLOCK_SIZE+i][j];
// }
// }
// for(i = ii*BLOCK_SIZE; i < N; ++i){
// for(jj = 0; jj < M/BLOCK_SIZE; ++jj){
// for(j = 0; j < BLOCK_SIZE; ++j)
// B[jj*BLOCK_SIZE+j][i] = A[i][jj*BLOCK_SIZE+j];
// }
// for(j = jj*BLOCK_SIZE; j < M; ++j){
// B[j][i] = A[i][j];
// }
// }
for(ii = 0; ii <= N/BLOCK_SIZE; ++ii)
for(jj = 0; jj <= M/BLOCK_SIZE; ++jj)
for(i = 0; i < BLOCK_SIZE && ii*BLOCK_SIZE+i < N ; ++i)
for(j = 0; j < BLOCK_SIZE && jj*BLOCK_SIZE+j < M; ++j)
B[jj*BLOCK_SIZE+j][ii*BLOCK_SIZE+i] = A[ii*BLOCK_SIZE+i][jj*BLOCK_SIZE+j];
}
}
// 439, 1699, 2411
// void transpose_submit(int M, int N, int A[N][M], int B[M][N]){
// register int ii, jj, i, j, k, t0, t1, t2, t3;
// for(ii = 0; ii < N/4; ++ii){
// for(jj = 0; jj < M/4; ++jj){
// // for(k = 0; k < 4; ++k)
// // for(l = 0; l < 4; ++l)
// // B[jj*4+l][ii*4+k] = A[ii*4+k][jj*4+l];
// for(k = 0; k < 4; ++k){
// t0 = A[ii*4+k][jj*4];
// t1 = A[ii*4+k][jj*4+1];
// t2 = A[ii*4+k][jj*4+2];
// t3 = A[ii*4+k][jj*4+3];
// B[jj*4][ii*4+k] = t0;
// B[jj*4+1][ii*4+k] = t1;
// B[jj*4+2][ii*4+k] = t2;
// B[jj*4+3][ii*4+k] = t3;
// }
// }
// for(j = jj*4; j < M; ++j){
// // for(k = 0; k < 4; ++k)
// // B[j][ii*4+k] = A[ii*4+k][j];
// t0 = A[ii*4][j];
// t1 = A[ii*4+1][j];
// t2 = A[ii*4+2][j];
// t3 = A[ii*4+3][j];
// B[j][ii*4] = t0;
// B[j][ii*4+1] = t1;
// B[j][ii*4+2] = t2;
// B[j][ii*4+3] = t3;
// }
// }
// for(i = ii*4; i < N; ++i){
// for(jj = 0; jj < M/4; ++jj){
// // for(l = 0; l < 4; ++l)
// // B[jj*4+l][i] = A[i][jj*4+l];
// t0 = A[i][jj*4];
// t1 = A[i][jj*4+1];
// t2 = A[i][jj*4+2];
// t3 = A[i][jj*4+3];
// B[jj*4][i] = t0;
// B[jj*4+1][i] = t1;
// B[jj*4+2][i] = t2;
// B[jj*4+3][i] = t3;
// }
// for(j = jj*4; j < M; ++j){
// B[j][i] = A[i][j];
// }
// }
// }
// // STRIDE 8, 343, 4691, 2197
// #define STRIDE 8
// void transpose_submit(int M, int N, int A[N][M], int B[M][N]){
// register int ii, jj, i, j, k, l;
// for(ii = 0; ii < N/STRIDE; ++ii){
// for(jj = 0; jj < M/STRIDE; ++jj){
// for(k = 0; k < STRIDE; ++k)
// for(l = 0; l < STRIDE; ++l)
// B[jj*STRIDE+l][ii*STRIDE+k] = A[ii*STRIDE+k][jj*STRIDE+l];
// }
// for(j = jj*STRIDE; j < M; ++j){
// for(k = 0; k < STRIDE; ++k)
// B[j][ii*STRIDE+k] = A[ii*STRIDE+k][j];
// }
// }
// for(i = ii*STRIDE; i < N; ++i){
// for(jj = 0; jj < M/STRIDE; ++jj){
// for(l = 0; l < STRIDE; ++l)
// B[jj*STRIDE+l][i] = A[i][jj*STRIDE+l];
// }
// for(j = jj*STRIDE; j < M; ++j){
// B[j][i] = A[i][j];
// }
// }
// }
// Merge!, 343, 1891, 2197
// void transpose_submit(int M, int N, int A[N][M], int B[M][N]){
// register int ii, jj, i, j, k, l, STRIDE = 8;
// if(M == 64 && N == 64) STRIDE = 4;
// for(ii = 0; ii < N/STRIDE; ++ii){
// for(jj = 0; jj < M/STRIDE; ++jj){
// for(k = 0; k < STRIDE; ++k)
// for(l = 0; l < STRIDE; ++l)
// B[jj*STRIDE+k][ii*STRIDE+l] = A[ii*STRIDE+l][jj*STRIDE+k];
// }
// for(j = jj*STRIDE; j < M; ++j){
// for(k = 0; k < STRIDE; ++k)
// B[j][ii*STRIDE+k] = A[ii*STRIDE+k][j];
// }
// }
// for(i = ii*STRIDE; i < N; ++i){
// for(jj = 0; jj < M/STRIDE; ++jj){
// for(l = 0; l < STRIDE; ++l)
// B[jj*STRIDE+l][i] = A[i][jj*STRIDE+l];
// }
// for(j = jj*STRIDE; j < M; ++j){
// B[j][i] = A[i][j];
// }
// }
// }
// 287/300, 1619/1300, 2073/2000
// void transpose_submit(int M, int N, int A[N][M], int B[M][N]){
// register int ii, jj, i, j, c0, c1, c2, c3, c4, c5, c6, c7;
// for(ii = 0; ii < N/8; ++ii){
// for(jj = 0; jj < M/8; ++jj){
// if(M == 64 && N == 64){
// for(i = 0; i < 4; ++i)
// for(j = 0; j < 4; ++j)
// B[jj*8+j][ii*8+i] = A[ii*8+i][jj*8+j];
// for(i = 4; i < 8; ++i)
// for(j = 0; j < 4; ++j)
// B[jj*8+j][ii*8+i] = A[ii*8+i][jj*8+j];
// for(i = 4; i < 8; ++i)
// for(j = 4; j < 8; ++j)
// B[jj*8+j][ii*8+i] = A[ii*8+i][jj*8+j];
// for(i = 0; i < 4; ++i)
// for(j = 4; j < 8; ++j)
// B[jj*8+j][ii*8+i] = A[ii*8+i][jj*8+j];
// }
// else{
// c0 = A[ii*8+0][jj*8+0];
// c1 = A[ii*8+0][jj*8+1];
// c2 = A[ii*8+0][jj*8+2];
// c3 = A[ii*8+0][jj*8+3];
// c4 = A[ii*8+0][jj*8+4];
// c5 = A[ii*8+0][jj*8+5];
// c6 = A[ii*8+0][jj*8+6];
// c7 = A[ii*8+0][jj*8+7];
// B[jj*8+0][ii*8+0] = c0;
// B[jj*8+1][ii*8+0] = c1;
// B[jj*8+2][ii*8+0] = c2;
// B[jj*8+3][ii*8+0] = c3;
// B[jj*8+4][ii*8+0] = c4;
// B[jj*8+5][ii*8+0] = c5;
// B[jj*8+6][ii*8+0] = c6;
// B[jj*8+7][ii*8+0] = c7;
// c0 = A[ii*8+1][jj*8+0];
// c1 = A[ii*8+1][jj*8+1];
// c2 = A[ii*8+1][jj*8+2];
// c3 = A[ii*8+1][jj*8+3];
// c4 = A[ii*8+1][jj*8+4];
// c5 = A[ii*8+1][jj*8+5];
// c6 = A[ii*8+1][jj*8+6];
// c7 = A[ii*8+1][jj*8+7];
// B[jj*8+0][ii*8+1] = c0;
// B[jj*8+1][ii*8+1] = c1;
// B[jj*8+2][ii*8+1] = c2;
// B[jj*8+3][ii*8+1] = c3;
// B[jj*8+4][ii*8+1] = c4;
// B[jj*8+5][ii*8+1] = c5;
// B[jj*8+6][ii*8+1] = c6;
// B[jj*8+7][ii*8+1] = c7;
// c0 = A[ii*8+2][jj*8+0];
// c1 = A[ii*8+2][jj*8+1];
// c2 = A[ii*8+2][jj*8+2];
// c3 = A[ii*8+2][jj*8+3];
// c4 = A[ii*8+2][jj*8+4];
// c5 = A[ii*8+2][jj*8+5];
// c6 = A[ii*8+2][jj*8+6];
// c7 = A[ii*8+2][jj*8+7];
// B[jj*8+0][ii*8+2] = c0;
// B[jj*8+1][ii*8+2] = c1;
// B[jj*8+2][ii*8+2] = c2;
// B[jj*8+3][ii*8+2] = c3;
// B[jj*8+4][ii*8+2] = c4;
// B[jj*8+5][ii*8+2] = c5;
// B[jj*8+6][ii*8+2] = c6;
// B[jj*8+7][ii*8+2] = c7;
// c0 = A[ii*8+3][jj*8+0];
// c1 = A[ii*8+3][jj*8+1];
// c2 = A[ii*8+3][jj*8+2];
// c3 = A[ii*8+3][jj*8+3];
// c4 = A[ii*8+3][jj*8+4];
// c5 = A[ii*8+3][jj*8+5];
// c6 = A[ii*8+3][jj*8+6];
// c7 = A[ii*8+3][jj*8+7];
// B[jj*8+0][ii*8+3] = c0;
// B[jj*8+1][ii*8+3] = c1;
// B[jj*8+2][ii*8+3] = c2;
// B[jj*8+3][ii*8+3] = c3;
// B[jj*8+4][ii*8+3] = c4;
// B[jj*8+5][ii*8+3] = c5;
// B[jj*8+6][ii*8+3] = c6;
// B[jj*8+7][ii*8+3] = c7;
// c0 = A[ii*8+4][jj*8+0];
// c1 = A[ii*8+4][jj*8+1];
// c2 = A[ii*8+4][jj*8+2];
// c3 = A[ii*8+4][jj*8+3];
// c4 = A[ii*8+4][jj*8+4];
// c5 = A[ii*8+4][jj*8+5];
// c6 = A[ii*8+4][jj*8+6];
// c7 = A[ii*8+4][jj*8+7];
// B[jj*8+0][ii*8+4] = c0;
// B[jj*8+1][ii*8+4] = c1;
// B[jj*8+2][ii*8+4] = c2;
// B[jj*8+3][ii*8+4] = c3;
// B[jj*8+4][ii*8+4] = c4;
// B[jj*8+5][ii*8+4] = c5;
// B[jj*8+6][ii*8+4] = c6;
// B[jj*8+7][ii*8+4] = c7;
// c0 = A[ii*8+5][jj*8+0];
// c1 = A[ii*8+5][jj*8+1];
// c2 = A[ii*8+5][jj*8+2];
// c3 = A[ii*8+5][jj*8+3];
// c4 = A[ii*8+5][jj*8+4];
// c5 = A[ii*8+5][jj*8+5];
// c6 = A[ii*8+5][jj*8+6];
// c7 = A[ii*8+5][jj*8+7];
// B[jj*8+0][ii*8+5] = c0;
// B[jj*8+1][ii*8+5] = c1;
// B[jj*8+2][ii*8+5] = c2;
// B[jj*8+3][ii*8+5] = c3;
// B[jj*8+4][ii*8+5] = c4;
// B[jj*8+5][ii*8+5] = c5;
// B[jj*8+6][ii*8+5] = c6;
// B[jj*8+7][ii*8+5] = c7;
// c0 = A[ii*8+6][jj*8+0];
// c1 = A[ii*8+6][jj*8+1];
// c2 = A[ii*8+6][jj*8+2];
// c3 = A[ii*8+6][jj*8+3];
// c4 = A[ii*8+6][jj*8+4];
// c5 = A[ii*8+6][jj*8+5];
// c6 = A[ii*8+6][jj*8+6];
// c7 = A[ii*8+6][jj*8+7];
// B[jj*8+0][ii*8+6] = c0;
// B[jj*8+1][ii*8+6] = c1;
// B[jj*8+2][ii*8+6] = c2;
// B[jj*8+3][ii*8+6] = c3;
// B[jj*8+4][ii*8+6] = c4;
// B[jj*8+5][ii*8+6] = c5;
// B[jj*8+6][ii*8+6] = c6;
// B[jj*8+7][ii*8+6] = c7;
// c0 = A[ii*8+7][jj*8+0];
// c1 = A[ii*8+7][jj*8+1];
// c2 = A[ii*8+7][jj*8+2];
// c3 = A[ii*8+7][jj*8+3];
// c4 = A[ii*8+7][jj*8+4];
// c5 = A[ii*8+7][jj*8+5];
// c6 = A[ii*8+7][jj*8+6];
// c7 = A[ii*8+7][jj*8+7];
// B[jj*8+0][ii*8+7] = c0;
// B[jj*8+1][ii*8+7] = c1;
// B[jj*8+2][ii*8+7] = c2;
// B[jj*8+3][ii*8+7] = c3;
// B[jj*8+4][ii*8+7] = c4;
// B[jj*8+5][ii*8+7] = c5;
// B[jj*8+6][ii*8+7] = c6;
// B[jj*8+7][ii*8+7] = c7;
// }
// }
// for(j = jj*8; j < M; ++j){
// c0 = A[ii*8+0][j];
// c1 = A[ii*8+1][j];
// c2 = A[ii*8+2][j];
// c3 = A[ii*8+3][j];
// c4 = A[ii*8+4][j];
// c5 = A[ii*8+5][j];
// c6 = A[ii*8+6][j];
// c7 = A[ii*8+7][j];
// B[j][ii*8+0] = c0;
// B[j][ii*8+1] = c1;
// B[j][ii*8+2] = c2;
// B[j][ii*8+3] = c3;
// B[j][ii*8+4] = c4;
// B[j][ii*8+5] = c5;
// B[j][ii*8+6] = c6;
// B[j][ii*8+7] = c7;
// }
// }
// for(i = ii*8; i < N; ++i){
// for(jj = 0; jj < M/8; ++jj){
// c0 = A[i][jj*8+0];
// c1 = A[i][jj*8+1];
// c2 = A[i][jj*8+2];
// c3 = A[i][jj*8+3];
// c4 = A[i][jj*8+4];
// c5 = A[i][jj*8+5];
// c6 = A[i][jj*8+6];
// c7 = A[i][jj*8+7];
// B[jj*8+0][i] = c0;
// B[jj*8+1][i] = c1;
// B[jj*8+2][i] = c2;
// B[jj*8+3][i] = c3;
// B[jj*8+4][i] = c4;
// B[jj*8+5][i] = c5;
// B[jj*8+6][i] = c6;
// B[jj*8+7][i] = c7;
// }
// for(j = jj*8; j < M; ++j){
// B[j][i] = A[i][j];
// }
// }
// }
/*
* You can define additional transpose functions below. We've defined
* a simple one below to help you get started.
*/
/*
* trans - A simple baseline transpose function, not optimized for the cache.
*/
char trans_desc[] = "Simple row-wise scan transpose";
void trans(int M, int N, int A[N][M], int B[M][N])
{
int i, j, tmp;
for (i = 0; i < N; i++) {
for (j = 0; j < M; j++) {
tmp = A[i][j];
B[j][i] = tmp;
}
}
}
/*
* registerFunctions - This function registers your transpose
* functions with the driver. At runtime, the driver will
* evaluate each of the registered functions and summarize their
* performance. This is a handy way to experiment with different
* transpose strategies.
*/
void registerFunctions()
{
/* Register your solution function */
registerTransFunction(transpose_submit, transpose_submit_desc);
/* Register any additional transpose functions */
registerTransFunction(trans, trans_desc);
}
/*
* is_transpose - This helper function checks if B is the transpose of
* A. You can check the correctness of your transpose by calling
* it before returning from the transpose function.
*/
int is_transpose(int M, int N, int A[N][M], int B[M][N])
{
int i, j;
for (i = 0; i < N; i++) {
for (j = 0; j < M; ++j) {
if (A[i][j] != B[j][i]) {
return 0;
}
}
}
return 1;
}