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matrix.c
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/* ----------------------------- MNI Header -----------------------------------
@NAME : matrix.c
@INPUT :
@OUTPUT :
@RETURNS :
@DESCRIPTION: source code for the functions in matrix.h, general
purpose matrix functions, mainly dealing with symmetric matrices
@METHOD :
@GLOBALS :
@CALLS :
@CREATED : Sept. 11, 1997 (J. Taylor)
@MODIFIED :
---------------------------------------------------------------------------- */
#include "matrix.h"
#include "glim.h"
/* ----------------------------- MNI Header -----------------------------------
@NAME : create_matrix
@INPUT : matrix_ptr - pointer to Matrix
num_rows
num_columns
@OUTPUT : (none)
@RETURNS :
@DESCRIPTION: creates a matrix with nrows and ncolumns
@METHOD :
@GLOBALS :
@CALLS :
@CREATED : June 22, 1997 (J. Taylor)
@MODIFIED :
---------------------------------------------------------------------------- */
Matrix *create_matrix(int num_rows, int num_columns)
{
Matrix *matrix_result;
double **values;
int i, j;
int error_flag = FALSE;
matrix_result = GI_MALLOC(sizeof(Matrix));
matrix_result->num_rows = num_rows;
matrix_result->num_columns = num_columns;
values = GI_MALLOC(sizeof(*values) * num_rows);
for(i=0; i < num_rows; i++) {
values[i] = GI_MALLOC(sizeof(double) * num_columns);
for(j=0; j < num_columns; j++) {
values[i][j] = 0.0;
}
}
matrix_result->values = values;
return matrix_result;
}
/* ----------------------------- MNI Header -----------------------------------
@NAME : delete_matrix
@INPUT : matrix - pointer to Matrix
@OUTPUT : (none)
@RETURNS : void
@DESCRIPTION: deletes a Matrix
@METHOD :
@GLOBALS :
@CALLS :
@CREATED : June 22, 1997 (J. Taylor)
@MODIFIED :
---------------------------------------------------------------------------- */
void delete_matrix(Matrix *matrix)
{
int i;
if(matrix != NULL) {
for(i=0 ; i<matrix->num_rows; i++) {
GI_FREE(matrix->values[i]);
}
GI_FREE(matrix->values);
}
else {
fprintf(stderr,"\nWarning: tried to delete NULL matrix.\n");
return;
}
GI_FREE(matrix);
return;
}
/* ----------------------------- MNI Header -----------------------------------
@NAME : multiply_matrix
@INPUT : matrix_left - pointer to Matrix
matrix_right - pointer to Matrix
matrix_result - pointer to Matrix
@OUTPUT : (none)
@RETURNS : void
@DESCRIPTION: multiplies two matrices together
@METHOD :
@GLOBALS :
@CALLS :
@CREATED : June 22, 1997 (J. Taylor)
@MODIFIED :
---------------------------------------------------------------------------- */
void multiply_matrix(Matrix *matrix_result, Matrix *matrix_left,
Matrix *matrix_right, Trans_Code transpose)
{
int i,j,k;
double tmp_value;
double value;
switch(transpose) {
case MATRIX_NEITHER:
/* Check if num_rows and num_columns are right */
if((matrix_result->num_columns != matrix_right->num_columns) ||
(matrix_result->num_rows != matrix_left->num_rows)) {
fprintf(stderr,"\nError in multiply_matrix:\n");
fprintf(stderr,"Size of matrix_result doesn't match matrix_left and matrix_right.\n");
exit(EXIT_FAILURE);
}
if(matrix_left->num_columns != matrix_right->num_rows) {
fprintf(stderr,"\nError in multiply_matrix:\n");
fprintf(stderr,"Num_rows of matrix_right and num_columns of matrix_left don't match. Tranpsose code: %d.\n", transpose);
exit(EXIT_FAILURE);
}
if((matrix_result == matrix_left) || (matrix_result == matrix_right)) {
fprintf(stderr, "\nError in multiply_matrix:\n");
fprintf(stderr, "Overwriting matrices is not allowed.\n");
exit(EXIT_FAILURE);
}
for(i=0 ; i<matrix_result->num_rows ; i++) {
for(j=0 ; j<matrix_result->num_columns ; j++){
matrix_result->values[i][j] = 0.0;
for(k=0 ; k<matrix_right->num_rows ; k++) {
matrix_result->values[i][j] += (matrix_left->values[i][k] *
matrix_right->values[k][j]);
}
}
}
break;
case MATRIX_LEFT:
/* Check if num_rows and num_columns are right */
if((matrix_result->num_columns != matrix_right->num_columns) ||
(matrix_result->num_rows != matrix_left->num_columns)) {
fprintf(stderr,"\nError in multiply_matrix:\n");
fprintf(stderr,"Size of matrix_result doesn't match matrix_left and matrix_right.\n");
exit(EXIT_FAILURE);
}
if(matrix_left->num_rows != matrix_right->num_rows) {
fprintf(stderr,"\nError in multiply_matrix:\n");
fprintf(stderr,"Num_rows of matrix_right and num_columns of matrix_left don't match. Tranpsose code: %d.\n", transpose);
exit(EXIT_FAILURE);
}
if((matrix_result == matrix_left) || (matrix_result == matrix_right)) {
fprintf(stderr, "\nError in multiply_matrix:\n");
fprintf(stderr, "Overwriting matrices is not allowed.\n");
exit(EXIT_FAILURE);
}
for(i=0 ; i<matrix_result->num_rows ; i++) {
for(j=0 ; j<matrix_result->num_columns ; j++){
matrix_result->values[i][j] = 0.0;
for(k=0 ; k<matrix_right->num_rows ; k++) {
matrix_result->values[i][j] += (matrix_left->values[k][i] *
matrix_right->values[k][j]);
}
}
}
break;
case MATRIX_RIGHT:
/* Check if num_rows and num_columns are right */
if((matrix_result->num_columns != matrix_right->num_rows) ||
(matrix_result->num_rows != matrix_left->num_rows)) {
fprintf(stderr,"\nError in multiply_matrix:\n");
fprintf(stderr,"Size of matrix_result doesn't match matrix_left and matrix_right.\n");
exit(EXIT_FAILURE);
}
if(matrix_left->num_columns != matrix_right->num_columns) {
fprintf(stderr,"\nError in multiply_matrix:\n");
fprintf(stderr,"Num_columns of matrix_right and num_columns of matrix_left don't match. Transpose code: %d.\n", transpose);
exit(EXIT_FAILURE);
}
if((matrix_result == matrix_left) || (matrix_result == matrix_right)) {
fprintf(stderr, "\nError in multiply_matrix:\n");
fprintf(stderr, "Overwriting matrices is not allowed.\n");
exit(EXIT_FAILURE);
}
for(i=0 ; i<matrix_result->num_rows ; i++) {
for(j=0 ; j<matrix_result->num_columns ; j++){
matrix_result->values[i][j] = 0.0;
for(k=0 ; k<matrix_right->num_columns ; k++) {
matrix_result->values[i][j] += (matrix_left->values[i][k] *
matrix_right->values[j][k]);
}
}
}
break;
case MATRIX_BOTH:
/* Check if num_rows and num_columns are right */
if((matrix_result->num_columns != matrix_left->num_columns) ||
(matrix_result->num_rows != matrix_right->num_rows)) {
fprintf(stderr,"\nError in multiply_matrix:\n");
fprintf(stderr,"Size of matrix_result doesn't match matrix_left and matrix_right.\n");
exit(EXIT_FAILURE);
}
if(matrix_left->num_rows != matrix_right->num_columns) {
fprintf(stderr,"\nError in multiply_matrix:\n");
fprintf(stderr,"Num_rows of matrix_left and num_columns of matrix_right don't match. Transpose code: %d.\n", transpose);
exit(EXIT_FAILURE);
}
if((matrix_result == matrix_left) || (matrix_result == matrix_right)) {
fprintf(stderr, "\nError in multiply_matrix:\n");
fprintf(stderr, "Overwriting matrices is not allowed.\n");
exit(EXIT_FAILURE);
}
for(i=0 ; i<matrix_result->num_rows ; i++) {
for(j=0 ; j<matrix_result->num_columns ; j++){
matrix_result->values[i][j] = 0.0;
for(k=0 ; k<matrix_right->num_rows ; k++) {
matrix_result->values[i][j] += (matrix_left->values[k][i] *
matrix_right->values[j][k]);
}
}
}
break;
default:
fprintf(stderr,"\nError: %d is not valid for transpose argument of multiply_matrix.\n", transpose);
fprintf(stderr,"\nValid codes are:\n%d transpose neither \n%d transpose left matrix \n%d transpose right matrix \n%d transpose both.\n",
MATRIX_NEITHER, MATRIX_LEFT, MATRIX_RIGHT, MATRIX_BOTH);
exit(EXIT_FAILURE);
break;
}
return;
}
/* ----------------------------- MNI Header -----------------------------------
@NAME : multiply_matrix_sym
@INPUT : matrix_left - pointer to Matrix
matrix_right - pointer to Matrix
matrix_result - pointer to Matrix
@OUTPUT : (none)
@RETURNS : void
@DESCRIPTION: multiplies two matrices together whose result is symmetric
@METHOD :
@GLOBALS :
@CALLS :
@CREATED : June 22, 1997 (J. Taylor)
@MODIFIED :
---------------------------------------------------------------------------- */
void multiply_matrix_sym(Matrix *matrix_result, Matrix *matrix_left,
Matrix *matrix_right, Trans_Code transpose)
{
int i,j,k;
double tmp_value;
double value;
switch(transpose) {
case MATRIX_NEITHER:
/* Check if num_rows and num_columns are right */
if((matrix_result->num_columns != matrix_right->num_columns) ||
(matrix_result->num_rows != matrix_left->num_rows)) {
fprintf(stderr,"\nError in matrix_matrix_sym:\n");
fprintf(stderr,"Size of matrix_result doesn't match matrix_left and matrix_right.\n");
exit(EXIT_FAILURE);
}
if(matrix_left->num_columns != matrix_right->num_rows) {
fprintf(stderr,"\nError in matrix_matrix_sym:\n");
fprintf(stderr,"Num_rows of matrix_right and num_columns of matrix_left don't match. Tranpsose code: %d.\n", transpose);
exit(EXIT_FAILURE);
}
if((matrix_result == matrix_left) || (matrix_result == matrix_right)) {
fprintf(stderr, "\nError in matrix_matrix_sym:\n");
fprintf(stderr, "Overwriting matrices is not allowed.\n");
exit(EXIT_FAILURE);
}
for(i=0 ; i<matrix_result->num_rows ; i++) {
for(j=0 ; j<=i ; j++){
matrix_result->values[i][j] = 0.0;
for(k=0 ; k<matrix_right->num_rows ; k++) {
matrix_result->values[i][j] += (matrix_left->values[i][k] *
matrix_right->values[k][j]);
}
matrix_result->values[j][i] = matrix_result->values[i][j];
}
}
break;
case MATRIX_LEFT:
/* Check if num_rows and num_columns are right */
if((matrix_result->num_columns != matrix_right->num_columns) ||
(matrix_result->num_rows != matrix_left->num_columns)) {
fprintf(stderr,"\nError in matrix_matrix_sym:\n");
fprintf(stderr,"Size of matrix_result doesn't match matrix_left and matrix_right.\n");
exit(EXIT_FAILURE);
}
if(matrix_left->num_rows != matrix_right->num_rows) {
fprintf(stderr,"\nError in matrix_matrix_sym:\n");
fprintf(stderr,"Num_rows of matrix_right and num_columns of matrix_left don't match. Tranpsose code: %d.\n", transpose);
exit(EXIT_FAILURE);
}
if((matrix_result == matrix_left) || (matrix_result == matrix_right)) {
fprintf(stderr, "\nError in matrix_matrix_sym:\n");
fprintf(stderr, "Overwriting matrices is not allowed.\n");
exit(EXIT_FAILURE);
}
for(i=0 ; i<matrix_result->num_rows ; i++) {
for(j=0 ; j<=i ; j++){
matrix_result->values[i][j] = 0.0;
for(k=0 ; k<matrix_right->num_rows ; k++) {
matrix_result->values[i][j] += (matrix_left->values[k][i] *
matrix_right->values[k][j]);
}
matrix_result->values[j][i] = matrix_result->values[i][j];
}
}
break;
case MATRIX_RIGHT:
/* Check if num_rows and num_columns are right */
if((matrix_result->num_columns != matrix_right->num_rows) ||
(matrix_result->num_rows != matrix_left->num_rows)) {
fprintf(stderr,"\nError in matrix_matrix_sym:\n");
fprintf(stderr,"Size of matrix_result doesn't match matrix_left and matrix_right.\n");
exit(EXIT_FAILURE);
}
if(matrix_left->num_columns != matrix_right->num_columns) {
fprintf(stderr,"\nError in matrix_matrix_sym:\n");
fprintf(stderr,"Num_columns of matrix_right and num_columns of matrix_left don't match. Transpose code: %d.\n", transpose);
exit(EXIT_FAILURE);
}
if((matrix_result == matrix_left) || (matrix_result == matrix_right)) {
fprintf(stderr, "\nError in matrix_matrix_sym:\n");
fprintf(stderr, "Overwriting matrices is not allowed.\n");
exit(EXIT_FAILURE);
}
for(i=0 ; i<matrix_result->num_rows ; i++) {
for(j=0 ; j<=i ; j++){
matrix_result->values[i][j] = 0.0;
for(k=0 ; k<matrix_right->num_rows ; k++) {
matrix_result->values[i][j] += (matrix_left->values[i][k] *
matrix_right->values[j][k]);
}
matrix_result->values[j][i] = matrix_result->values[i][j];
}
}
break;
case MATRIX_BOTH:
/* Check if num_rows and num_columns are right */
if((matrix_result->num_columns != matrix_left->num_columns) ||
(matrix_result->num_rows != matrix_right->num_rows)) {
fprintf(stderr,"\nError in matrix_matrix_sym:\n");
fprintf(stderr,"Size of matrix_result doesn't match matrix_left and matrix_right.\n");
exit(EXIT_FAILURE);
}
if(matrix_left->num_rows != matrix_right->num_columns) {
fprintf(stderr,"\nError in matrix_matrix_sym:\n");
fprintf(stderr,"Num_rows of matrix_left and num_columns of matrix_right don't match. Transpose code: %d.\n", transpose);
exit(EXIT_FAILURE);
}
if((matrix_result == matrix_left) || (matrix_result == matrix_right)) {
fprintf(stderr, "\nError in matrix_matrix_sym:\n");
fprintf(stderr, "Overwriting matrices is not allowed.\n");
exit(EXIT_FAILURE);
}
for(i=0 ; i<matrix_result->num_rows ; i++) {
for(j=0 ; j<=i ; j++){
matrix_result->values[i][j] = 0.0;
for(k=0 ; k<matrix_right->num_rows ; k++) {
matrix_result->values[i][j] += (matrix_left->values[k][i] *
matrix_right->values[j][k]);
}
matrix_result->values[j][i] = matrix_result->values[i][j];
}
}
break;
default:
fprintf(stderr,"\nError: %d is not valid for transpose argument of matrix_matrix_sym.\n", transpose);
fprintf(stderr,"\nValid codes are:\n%d transpose neither \n%d transpose left matrix \n%d transpose right matrix \n%d transpose both.\n",
MATRIX_NEITHER, MATRIX_LEFT, MATRIX_RIGHT, MATRIX_BOTH);
fprintf(stderr,"matrix_left:\n");
print_matrix(stderr, matrix_left);
fprintf(stderr, "matrix_right:\n");
print_matrix(stderr, matrix_right);
exit(EXIT_FAILURE);
break;
}
return;
}
/* ----------------------------- MNI Header -----------------------------------
@NAME : multiply_diagonal_left
@INPUT : matrix_left - pointer to Matrix
matrix_right - pointer to Matrix
matrix_result - pointer to Matrix
@OUTPUT : (none)
@RETURNS : void
@DESCRIPTION: multiplies the rows of matrix_right term by term by the
values of matrix_left (matrix_left is an n by 1 matrix)
identical to multiplying by a diagonal square matrix with
elements diagonal->values[i][i] = matrix_left->values[i][0]
@METHOD :
@GLOBALS :
@CALLS :
@CREATED : June 22, 1997 (J. Taylor)
@MODIFIED :
---------------------------------------------------------------------------- */
void multiply_diagonal_left(Matrix *matrix_result, Matrix *matrix_left,
Matrix *matrix_right, Trans_Code transpose)
{
int i,j;
double value;
switch(transpose) {
case MATRIX_NEITHER:
/* Check if num_rows and num_columns are right */
if((matrix_result->num_columns < matrix_right->num_columns) ||
(matrix_result->num_rows < matrix_right->num_rows)) {
fprintf(stderr,"\nError in multiply_diagonal_left\n");
fprintf(stderr,"Size of matrix_result doesn't match size of matrix_right.\n");
fprintf(stderr,"matrix_left:\n");
print_matrix(stderr, matrix_left);
fprintf(stderr, "matrix_right:\n");
print_matrix(stderr, matrix_right);
exit(EXIT_FAILURE);
}
if(matrix_left->num_rows != matrix_right->num_rows) {
fprintf(stderr,"\nError in multiply_diagonal_left\n");
fprintf(stderr,"Num_rows of matrix_left and num_rows of matrix_right don't match\n");
fprintf(stderr,"matrix_left:\n");
print_matrix(stderr, matrix_left);
fprintf(stderr, "matrix_right:\n");
print_matrix(stderr, matrix_right);
exit(EXIT_FAILURE);
}
if((matrix_result == matrix_left) || (matrix_result == matrix_right)) {
fprintf(stderr, "\nError in multiply_diagonal_left:\n");
fprintf(stderr, "Overwriting matrices is not allowed.\n");
fprintf(stderr,"matrix_left:\n");
print_matrix(stderr, matrix_left);
fprintf(stderr, "matrix_right:\n");
print_matrix(stderr, matrix_right);
exit(EXIT_FAILURE);
}
for(i=0 ; i<matrix_right->num_rows ; i++) {
for(j=0 ; j<matrix_right->num_columns ; j++){
matrix_result->values[i][j] = (matrix_right->values[i][j] *
matrix_left->values[i][0]);
}
}
case MATRIX_RIGHT:
/* Check if num_rows and num_columns are right */
if((matrix_result->num_columns < matrix_right->num_columns) ||
(matrix_result->num_rows < matrix_right->num_rows)) {
fprintf(stderr,"\nError in multiply_diagonal_left\n");
fprintf(stderr,"Size of matrix_result doesn't match size of matrix_right.\n");
fprintf(stderr,"matrix_left:\n");
print_matrix(stderr, matrix_left);
fprintf(stderr, "matrix_right:\n");
print_matrix(stderr, matrix_right);
exit(EXIT_FAILURE);
}
if(matrix_left->num_rows != matrix_right->num_columns) {
fprintf(stderr,"\nError in multiply_diagonal_left\n");
fprintf(stderr,"Num_rows of matrix_left and num_columns of matrix_right don't match\n");
fprintf(stderr,"matrix_left:\n");
print_matrix(stderr, matrix_left);
fprintf(stderr, "matrix_right:\n");
print_matrix(stderr, matrix_right);
exit(EXIT_FAILURE);
}
if((matrix_result == matrix_left) || (matrix_result == matrix_right)) {
fprintf(stderr, "\nError in multiply_diagonal_left:\n");
fprintf(stderr, "Overwriting matrices is not allowed.\n");
fprintf(stderr,"matrix_left:\n");
print_matrix(stderr, matrix_left);
fprintf(stderr, "matrix_right:\n");
print_matrix(stderr, matrix_right);
exit(EXIT_FAILURE);
}
for(i=0 ; i<matrix_right->num_rows ; i++) {
for(j=0 ; j<matrix_right->num_columns ; j++){
matrix_result->values[i][j] = (matrix_right->values[j][i] *
matrix_left->values[i][0]);
}
}
default:
fprintf(stderr,"\nError: %d is not valid for transpose argument of multiply_diagonal_left.\n", transpose);
fprintf(stderr,"\nValid codes are:\n%d transpose neither \n%d transpose right matrix.\n", MATRIX_NEITHER, MATRIX_RIGHT);
fprintf(stderr,"matrix_left:\n");
print_matrix(stderr, matrix_left);
fprintf(stderr, "matrix_right:\n");
print_matrix(stderr, matrix_right);
exit(EXIT_FAILURE);
break;
}
return;
}
/* ----------------------------- MNI Header -----------------------------------
@NAME : multiply_diagonal_right
@INPUT : matrix_left - pointer to Matrix
matrix_right - pointer to Matrix
matrix_result - pointer to Matrix
@OUTPUT : (none)
@RETURNS : void
@DESCRIPTION: multiplies the columns of matrix_left term by term by the
values of matrix_right (matrix_right is an n by 1 matrix)
identical to multiplying by a diagonal square matrix with
elements diagonal->values[i][i] = matrix_right->values[i][0]
@METHOD :
@GLOBALS :
@CALLS :
@CREATED : June 22, 1997 (J. Taylor)
@MODIFIED :
---------------------------------------------------------------------------- */
void multiply_diagonal_right (Matrix *matrix_result, Matrix *matrix_left,
Matrix *matrix_right, Trans_Code transpose)
{
int i,j;
double value;
switch(transpose) {
case MATRIX_NEITHER:
/* Check if num_rows and num_columns are right */
if((matrix_result->num_columns < matrix_right->num_columns) ||
(matrix_result->num_rows < matrix_right->num_rows)) {
fprintf(stderr,"\nError in multiply_diagonal_right\n");
fprintf(stderr,"Size of matrix_result doesn't match size of matrix_right.\n");
fprintf(stderr,"matrix_left:\n");
print_matrix(stderr, matrix_left);
fprintf(stderr, "matrix_right:\n");
print_matrix(stderr, matrix_right);
exit(EXIT_FAILURE);
}
if(matrix_left->num_rows != matrix_right->num_rows) {
fprintf(stderr,"\nError in multiply_diagonal_right\n");
fprintf(stderr,"Num_rows of matrix_left and num_rows of matrix_right don't match\n");
fprintf(stderr,"matrix_left:\n");
print_matrix(stderr, matrix_left);
fprintf(stderr, "matrix_right:\n");
print_matrix(stderr, matrix_right);
exit(EXIT_FAILURE);
}
if((matrix_result == matrix_left) || (matrix_result == matrix_right)) {
fprintf(stderr, "\nError in multiply_diagonal_right:\n");
fprintf(stderr, "Overwriting matrices is not allowed.\n");
fprintf(stderr,"matrix_left:\n");
print_matrix(stderr, matrix_left);
fprintf(stderr, "matrix_right:\n");
print_matrix(stderr, matrix_right);
exit(EXIT_FAILURE);
}
for(i=0 ; i<matrix_right->num_rows ; i++) {
for(j=0 ; j<matrix_right->num_columns ; j++){
matrix_result->values[i][j] = (matrix_right->values[i][j] *
matrix_left->values[i][0]);
}
}
case MATRIX_LEFT:
/* Check if num_rows and num_columns are right */
if((matrix_result->num_columns < matrix_right->num_columns) ||
(matrix_result->num_rows < matrix_right->num_rows)) {
fprintf(stderr,"\nError in multiply_diagonal_right\n");
fprintf(stderr,"Size of matrix_result doesn't match size of matrix_right.\n");
fprintf(stderr,"matrix_left:\n");
print_matrix(stderr, matrix_left);
fprintf(stderr, "matrix_right:\n");
print_matrix(stderr, matrix_right);
exit(EXIT_FAILURE);
}
if(matrix_left->num_rows != matrix_right->num_columns) {
fprintf(stderr,"\nError in multiply_diagonal_right\n");
fprintf(stderr,"Num_rows of matrix_left and num_columns of matrix_right don't match\n");
fprintf(stderr,"matrix_left:\n");
print_matrix(stderr, matrix_left);
fprintf(stderr, "matrix_right:\n");
print_matrix(stderr, matrix_right);
exit(EXIT_FAILURE);
}
if((matrix_result == matrix_left) || (matrix_result == matrix_right)) {
fprintf(stderr, "\nError in multiply_diagonal_right:\n");
fprintf(stderr, "Overwriting matrices is not allowed.\n");
fprintf(stderr,"matrix_left:\n");
print_matrix(stderr, matrix_left);
fprintf(stderr, "matrix_right:\n");
print_matrix(stderr, matrix_right);
exit(EXIT_FAILURE);
}
for(i=0 ; i<matrix_right->num_rows ; i++) {
for(j=0 ; j<matrix_right->num_columns ; j++){
matrix_result->values[i][j] = (matrix_right->values[j][i] *
matrix_left->values[i][0]);
}
}
default:
fprintf(stderr,"\nError: %d is not valid for transpose argument of multiply_diagonal_right.\n", transpose);
fprintf(stderr,"\nValid codes are:\n%d transpose neither \n%d transpose left matrix.\n", MATRIX_NEITHER, MATRIX_LEFT);
fprintf(stderr,"matrix_left:\n");
print_matrix(stderr, matrix_left);
fprintf(stderr, "matrix_right:\n");
print_matrix(stderr, matrix_right);
exit(EXIT_FAILURE);
break;
}
return;
}
/* ----------------------------- MNI Header -----------------------------------
@NAME : invert_matrix_sym
@INPUT : matrix - pointer to Matrix
matrix
@OUTPUT : (none)
@RETURNS : void
@DESCRIPTION: inverts positive definite symmetric square matrix using Gauss-Jordan
symmetric row sweeper
@METHOD :
@GLOBALS :
@CALLS :
@CREATED : June 22, 1997 (J. Taylor)
@MODIFIED :
---------------------------------------------------------------------------- */
int invert_matrix_sym(Matrix *matrix_result, Matrix *matrix)
{
int i,j,k,p;
int i_tmp1, i_tmp2, j_tmp1, j_tmp2, tmp;
double a_kk, abs_a_kk;
double tol = 0.000001;
double det; /* for 2X2 matrix */
/* to be removed */
/* Check matrix is square first */
if(matrix->num_rows != matrix->num_columns) {
fprintf(stderr,"\nError in invert_matrix_sym:\n");
fprintf(stderr,"Matrix isn't square.\n");
return FALSE;
}
if(matrix_result->num_rows != matrix_result->num_columns) {
fprintf(stderr,"\nError in invert_matrix_sym:\n");
fprintf(stderr,"Matrix_result isn't square.\n");
return FALSE;
}
if(matrix->num_rows == 1) {
matrix_result->values[0][0] = 1.0 / matrix->values[0][0];
return TRUE;
}
if(matrix->num_rows == 2) {
det = (matrix->values[0][0] * matrix->values[1][1] -
matrix->values[1][0] * matrix->values[1][0]);
matrix_result->values[0][0] = matrix->values[1][1] / det;
matrix_result->values[1][1] = matrix->values[0][0] / det;
matrix_result->values[1][0] = - matrix->values[1][0] / det;
matrix_result->values[0][1] = matrix_result->values[1][0];
return TRUE;
}
copy_matrix(matrix_result, matrix, matrix->num_rows, matrix->num_rows, 1.0, MATRIX_NEITHER);
for(k = 0; k < matrix->num_rows; k++) {
/* Check for collinearity */
if (k >= 1) {
for(i = 0; i< k; i++) {
if (1.0 /(((matrix_result->values[i][k] *
matrix_result->values[i][k]) /
matrix_result->values[k][k]) -
matrix_result->values[i][i]) <=
matrix->values[i][i] * tol) {
fprintf(stderr,"\nWarning: Matrix to be inverted may be singular.\nColumn %d of matrix may be linearly dependent.\n",k+1);
return FALSE;
}
}
}
a_kk = matrix_result->values[k][k];
abs_a_kk = fabs(a_kk);
for(i=0; i < matrix_result->num_rows; i++) {
for(j=0; j <= i; j++) {
if((i > k) && (j == k))
matrix_result->values[i][j]=(matrix_result->values[j][i]/
abs_a_kk);
else if ((i == k) && (j != k))
matrix_result->values[i][j]=(matrix_result->values[j][i]/
abs_a_kk);
else if ((i == k) && (j == k))
matrix_result->values[i][j] = -1.0/a_kk;
else {
if (i < k) {
i_tmp1 = i;
j_tmp1 = k;
}
else {
i_tmp1 = k;
j_tmp1 = i;
}
if (j < k) {
i_tmp2 = j;
j_tmp2 = k;
}
else {
i_tmp2 = k;
j_tmp2 = j;
}
matrix_result->values[i][j]=(matrix_result->values[j][i]-
matrix_result->values[i_tmp1][j_tmp1]*
matrix_result->values[i_tmp2][j_tmp2]/
a_kk);
}
}
}
for(i=0; i<matrix_result->num_rows; i++) {
for(j=0; j<i; j++) {
matrix_result->values[j][i] = matrix_result->values[i][j];
}
}
}
for(i=0; i<matrix_result->num_rows; i++) {
for(j=0; j<= i; j++) {
matrix_result->values[j][i] = -matrix_result->values[i][j];
if (j != i)
matrix_result->values[i][j] = matrix_result->values[j][i];
}
}
return TRUE;
}
/* ----------------------------- MNI Header -----------------------------------
@NAME : transpose_matrix
@INPUT : matrix - pointer to Matrix
matrix_result - pointer to Matrix
@OUTPUT : (none)
@RETURNS : void
@DESCRIPTION: transposes matrix
@METHOD :
@GLOBALS :
@CALLS :
@CREATED : June 22, 1997 (J. Taylor)
@MODIFIED :
---------------------------------------------------------------------------- */
void transpose_matrix (Matrix *matrix_result, Matrix *matrix)
{
int i,j;
double value;
/* Check if num_rows and num_columns are right */
if((matrix_result->num_columns != matrix->num_rows) ||
(matrix_result->num_rows != matrix->num_columns)) {
fprintf(stderr,"\nError in transpose_matrix:\n");
fprintf(stderr,"Size of matrix_result doesn't match matrix.\n");
exit(EXIT_FAILURE);
}
if(matrix_result == matrix) {
fprintf(stderr, "\nError in transpose_matrix:\n");
fprintf(stderr, "Overwriting matrices is not allowed.\n");
exit(EXIT_FAILURE);
}
for(i=0; i<matrix_result->num_rows; i++) {
for(j=0; j<matrix_result->num_columns; j++) {
matrix_result->values[i][j] = matrix->values[j][i];
}
}
return;
}
/* ----------------------------- MNI Header -----------------------------------
@NAME : copy_matrix
@INPUT : matrix - pointer to Matrix
matrix_result - pointer to Matrix
@OUTPUT : (none)
@RETURNS : void
@DESCRIPTION: copies the first num_rows rows and num_columns columns of
a Matrix
@METHOD :
@GLOBALS :
@CALLS :
@CREATED : June 22, 1997 (J. Taylor)
@MODIFIED :
---------------------------------------------------------------------------- */
void copy_matrix (Matrix *matrix_result, Matrix *matrix, int num_rows,
int num_columns, double scalar, Trans_Code transpose)
{
int i,j;
double value;
if(matrix_result == matrix) {
fprintf(stderr, "\nError in copy_matrix:\n");
fprintf(stderr, "Overwriting matrices is not allowed.\n");
fprintf(stderr,"matrix_result:\n");
print_matrix(stderr, matrix_result);
fprintf(stderr, "matrix:\n");
print_matrix(stderr, matrix);
exit(EXIT_FAILURE);
}
switch(transpose) {
case MATRIX_NEITHER:
if((num_columns > matrix_result->num_columns) || (num_rows > matrix_result->num_rows)) {
fprintf(stderr,"\nError in copy_matrix: num_rows or num_columns of matrix_result not big enough.\nnum_rows_in: %d, num_columns_in: %d\nnum_rows_out: %d num_columns_out: %d\n",
num_rows, num_columns, matrix_result->num_rows, matrix_result->num_columns);
fprintf(stderr,"matrix_result:\n");
print_matrix(stderr, matrix_result);
fprintf(stderr, "matrix:\n");
print_matrix(stderr, matrix);
exit(EXIT_FAILURE);
}
for(i=0; i<num_rows; i++) {
for(j=0; j<num_columns; j++) {
matrix_result->values[i][j] = scalar * matrix->values[i][j];
}
}
break;
case MATRIX_LEFT:
if((num_columns > matrix_result->num_rows) || (num_rows > matrix_result->num_columns)) {
fprintf(stderr,"\nError in copy_matrix: num_rows or num_columns of matrix_result not big enough.\nnum_rows_in: %d, num_columns_in: %d\nnum_rows_out: %d num_columns_out: %d\n",
num_rows, num_columns, matrix_result->num_columns, matrix_result->num_rows);
fprintf(stderr,"matrix_result:\n");
print_matrix(stderr, matrix_result);
fprintf(stderr, "matrix:\n");
print_matrix(stderr, matrix);
exit(EXIT_FAILURE);
}
for(i=0; i<num_rows; i++) {
for(j=0; j<num_columns; j++) {
matrix_result->values[j][i] = scalar * matrix->values[i][j];
}
}
break;
case MATRIX_RIGHT:
if((num_columns > matrix_result->num_rows) || (num_rows > matrix_result->num_columns)) {
fprintf(stderr,"\nError in copy_matrix: num_rows or num_columns of matrix_result not big enough.\nnum_rows_in: %d, num_columns_in: %d\nnum_rows_out: %d num_columns_out: %d\n",
num_rows, num_columns, matrix_result->num_columns, matrix_result->num_rows);
fprintf(stderr,"matrix_result:\n");
print_matrix(stderr, matrix_result);
fprintf(stderr, "matrix:\n");
print_matrix(stderr, matrix);
exit(EXIT_FAILURE);
}
for(i=0; i<num_rows; i++) {
for(j=0; j<num_columns; j++) {
matrix_result->values[j][i] = scalar * matrix->values[i][j];
}
}
break;
case MATRIX_BOTH:
if((num_columns > matrix_result->num_rows) || (num_rows > matrix_result->num_columns)) {
fprintf(stderr,"\nError in copy_matrix: num_rows or num_columns of matrix_result not big enough.\nnum_rows_in: %d, num_columns_in: %d\nnum_rows_out: %d num_columns_out: %d\n",
num_rows, num_columns, matrix_result->num_columns, matrix_result->num_rows);
fprintf(stderr,"matrix_result:\n");
print_matrix(stderr, matrix_result);
fprintf(stderr, "matrix:\n");
print_matrix(stderr, matrix);
exit(EXIT_FAILURE);
}
for(i=0; i<num_rows; i++) {
for(j=0; j<num_columns; j++) {
matrix_result->values[j][i] = scalar * matrix->values[i][j];
}
}
break;
default:
fprintf(stderr,"\nError: %d is not valid for transpose argument of copy_matrix.\n", transpose);
fprintf(stderr,"\nValid codes are:\n%d transpose neither \n%d transpose left matrix \n%d transpose right matrix \n%d transpose both.\n",
MATRIX_NEITHER, MATRIX_LEFT, MATRIX_RIGHT, MATRIX_BOTH);
fprintf(stderr,"\nNote that anything other than MATRIX_NEITHER will have copy_matrix transpose the matrix being copied.\n");
fprintf(stderr,"matrix_result:\n");
print_matrix(stderr, matrix_result);
fprintf(stderr, "matrix:\n");
print_matrix(stderr, matrix);
exit(EXIT_FAILURE);
break;
}
return;
}
/* ----------------------------- MNI Header -----------------------------------
@NAME : add_matrix
@INPUT : matrix_a - pointer to Matrix
matrix_b - pointer to Matrix
matrix_result - pointer to Matrix
@OUTPUT : (none)
@RETURNS : void
@DESCRIPTION: adds two matrices together
@METHOD :
@GLOBALS :
@CALLS :
@CREATED : June 22, 1997 (J. Taylor)
@MODIFIED :
---------------------------------------------------------------------------- */
void add_matrix (Matrix *matrix_result, Matrix *matrix_a, Matrix *matrix_b,
Trans_Code transpose)
{
int i,j;
double value;
switch(transpose) {
case MATRIX_NEITHER:
/* Check if num_rows and num_columns are right */
if((matrix_result->num_columns != matrix_a->num_columns) ||
(matrix_result->num_rows != matrix_a->num_rows)) {
fprintf(stderr,"\nError in add_matrix:\n");
fprintf(stderr,"Size of matrix_result doesn't match matrix_a and matrix_b.\n");
fprintf(stderr,"matrix_a:\n");
print_matrix(stderr, matrix_a);
fprintf(stderr, "matrix_b:\n");
print_matrix(stderr, matrix_b);
exit(EXIT_FAILURE);
}
if((matrix_a->num_columns != matrix_b->num_columns) ||
(matrix_a->num_rows != matrix_b->num_rows)) {
fprintf(stderr,"\nError in add_matrix:\n");
fprintf(stderr,"Size of matrix_a doesn't match matrix_b.\n");
fprintf(stderr,"matrix_a:\n");
print_matrix(stderr, matrix_a);
fprintf(stderr, "matrix_b:\n");
print_matrix(stderr, matrix_b);
exit(EXIT_FAILURE);
}
if((matrix_result == matrix_a) || (matrix_result == matrix_b)) {
fprintf(stderr, "\nError in add_matrix:\n");
fprintf(stderr, "Overwriting matrices is not allowed.\n");
fprintf(stderr,"matrix_a:\n");
print_matrix(stderr, matrix_a);
fprintf(stderr, "matrix_b:\n");
print_matrix(stderr, matrix_b);