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lab3_io.h
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#ifndef LAB3_IO_H
#define LAB3_IO_H
#include <stdio.h>
#include <malloc.h>
/*
M : number of rows (samples) in input matrix D
N : number of columns (features) in input matrix D
D : 1D Array of M x N input matrix in row-major,
#elements in D is (M * N)
--------------------------------------------------------------------------------------
| D[0][0] | D[0][1] | ... | D[0][N-1] | D[1][0] | ... | D[1][N-1] | ... | D[M-1][N-1] |
--------------------------------------------------------------------------------------
*/
void read_matrix (const char* input_filename, int* M, int *N, double** D);
/*
check correctess of Singular Vector Decomposition
Arguments:
M : number of rows (samples) in input matrix D
N : number of columns (features) in input matrix D
D : 1D Array of M x N input matrix in row-major,
#elements in D is (M * N)
--------------------------------------------------------------------------------------
| D[0][0] | D[0][1] | ... | D[0][N-1] | D[1][0] | ... | D[1][N-1] | ... | D[M-1][N-1] |
--------------------------------------------------------------------------------------
U : 1D array of N x n real matrix (computed by SVD) in row-major
--------------------------------------------------------------------------------------
| U[0][0] | U[0][1] | ... | U[0][N-1] | U[1][0] | ... | U[1][N-1] | ... | U[N-1][N-1] |
--------------------------------------------------------------------------------------
SIGMA : 1D array of N x M (or M x N) diagonal matrix of positive real numbers (computed by SVD),
format: consists only digonal elements
#elements in SIGMA is N (digonals will be N in both cases)
-------------------------------------------------------------------
| SIGMA[0][0] | SIGMA[1][1] | SIGMA[2][2] | ... | SIGMA[N-1][N-1] |
-------------------------------------------------------------------
V_T : 1D array of M x M real matrix (computed by SVD) in row-major
--------------------------------------------------------------------------------
| V_T[0][0] | V_T[0][1] | ... | V_T[0][M-1] | V_T[1][0] | ... | V_T[M-1][M-1] |
--------------------------------------------------------------------------------
SIGMAm: #rows in SIGMA, to be decided as per the dimentions of matrix used for SVD
SIGMAn: #columns in SIGMA, to be decided as per the dimentions of matrix used for SVD
K : number of coulmns (features) in reduced matrix D_HAT
D_HAT : reduced matrix (computed by PCA) in row-major
-------------------------------------------------------------------------------------
| D_HAT[0][0] | D_HAT[0][1] | ... | D_HAT[0][K-1] | D_HAT[1][0] | ... | D[M-1][K-1] |
-------------------------------------------------------------------------------------
computation_time : Time elapsed in computing SVD and PCA
*/
void write_result (int M,
int N,
double* D,
double* U,
double* SIGMA,
double* V_T,
int SIGMAm,
int SIGMAn,
int K,
double* D_HAT,
double computation_time);
/*
Function to check the format of output code.
You can call it from main to check if the dimensions of
output matches with our expected dimensions.
This is a dummy function. It is not the function that
will be used for evaluation.
*/
void format_checker (int M,
int N,
double* D,
double* U,
double* SIGMA,
double* V_T,
int SIGMAm,
int SIGMAn,
int K,
double* D_HAT);
#endif