int main()
{
int a[3][3];
int b[3][3];
int c[3][3];
//Q2: define pointers (5)
//Define pointers ap, bp, and cp to the matrices that are defined above
//SOLUTION CODE
int* ap = &a[0][0];
int* bp = &b[0][0];
int* cp = &c[0][0];
//SOLUTION CODE
initialize_matrices(ap, bp, cp);
printf("Matrix a:\n");
fill_matrix(ap);
printf("Matrix b:\n");
fill_matrix(bp);
add_matrices(ap, bp, cp);
print_sum_matrix(cp);
return 0;
}
MDArray<double> Shrinkage::combine(MDArray<double> target,MDArray<double> MLE,double lambda)
{
assert(target.get_shape() == MLE.get_shape());
// assert(lambda>=0 && lambda<=1);
lambda = std::max(lambda, 0.0);
lambda = std::min(lambda, 1.0);
return add_matrices(mult_num_to_matrix(target,lambda),mult_num_to_matrix(MLE,1-lambda));
}
//#define DEBUG
void SymList::compute_subgroup()
{
Matrix2D<DOUBLE> I(4, 4);
I.initIdentity();
Matrix2D<DOUBLE> L1(4, 4), R1(4, 4), L2(4, 4), R2(4, 4), newL(4, 4), newR(4, 4);
Matrix2D<int> tried(true_symNo, true_symNo);
int i, j;
int new_chain_length;
while (found_not_tried(tried, i, j, true_symNo))
{
tried(i, j) = 1;
get_matrices(i, L1, R1);
get_matrices(j, L2, R2);
newL = L1 * L2;
newR = R1 * R2;
new_chain_length = __chain_length(i) + __chain_length(j);
Matrix2D<DOUBLE> newR3 = newR;
newR3.resize(3,3);
if (newL.isIdentity() && newR3.isIdentity()) continue;
// Try to find it in current ones
bool found;
found = false;
for (int l = 0; l < SymsNo(); l++)
{
get_matrices(l, L1, R1);
if (newL.equal(L1) && newR.equal(R1))
{
found = true;
break;
}
}
if (!found)
{
//#define DEBUG
#ifdef DEBUG
std::cout << "Matrix size " << tried.Xdim() << " "
<< "trying " << i << " " << j << " "
<< "chain length=" << new_chain_length << std::endl;
std::cout << "Result R Sh\n" << newR;
#endif
#undef DEBUG
newR.setSmallValuesToZero();
newL.setSmallValuesToZero();
add_matrices(newL, newR, new_chain_length);
tried.resize(MAT_YSIZE(tried) + 1, MAT_XSIZE(tried) + 1);
}
}
}
static char *test_add_matrices()
{
// We should create 2 empty matrices. If we add them we should get
// an empty matrix.
Matrix *a = create_matrix(2, 2);
Matrix *b = create_matrix(2, 2);
// We will store the result of the adition in a third matrix c.
Matrix *c = create_matrix(2, 2);
add_matrices(a, b, &c);
// Since a and b are empty their result will an empty matrix too
// so it makes sense to compare c against b or a.
mu_assert("c != a or b", compare_matrices(a, c));
destroy_matrix(a);
destroy_matrix(b);
destroy_matrix(c);
return 0;
}
int main(void)
{
int m1[100][100], m2[100][100], destination_matrix[100][100], n_rows, n_columns, i, j; //defining all the variables
scanf ("%d %d", &n_rows, &n_columns); // enter the number of rows and columns for matrices
printf("Enter the First matrix->");
for(i=0;i<n_rows;i++)
for(j=0;j<n_columns;j++)
scanf("%d",&m1[i][j]); // enter matrix m1
printf("\nEnter the Second matrix->");
for(i=0;i<n_rows;i++){
for(j=0;j<n_columns;j++){
scanf("%d",&m2[i][j]); // enter matrix m2
}
}
add_matrices(m1, m2, destination_matrix, n_rows,n_columns); // call value from function "add_matrices"
for(i=0;i<n_rows;i++){
for(j=0;j<n_columns;j++){
printf ("%d ",destination_matrix[i][j]); // print/show the resulting matrix from the addition
}
printf ("\n");
}
return 0;
}
/**
* NAME: strassen_postprocess
* INPUT: MATRIX* mOrig, MATRIX* mNew2, int colSize, int rowSize
* USAGE: Strips zeros from mOrig and outputs a new rowSize by colSize matrix.
*
* NOTES: Assumes all inputs are already initialized.
*/
void strassen_helper(MATRIX* m1, MATRIX* m2, MATRIX* res)
{
// base case
if (m1->numRows <= 1)
{
mult_bignums(&m1->matrix[0][0], &m2->matrix[0][0], &res->matrix[0][0]);
}
else
{
// split mOrig1 & mOrig2 into a 2x2 of submatrices
int n = m1->numRows/2;
// Initialize submatrices
MATRIX* a11 = malloc(sizeof(MATRIX));
MATRIX* a12 = malloc(sizeof(MATRIX));
MATRIX* a21 = malloc(sizeof(MATRIX));
MATRIX* a22 = malloc(sizeof(MATRIX));
MATRIX* b11 = malloc(sizeof(MATRIX));
MATRIX* b12 = malloc(sizeof(MATRIX));
MATRIX* b21 = malloc(sizeof(MATRIX));
MATRIX* b22 = malloc(sizeof(MATRIX));
zero_matrix(n,n,a11);
zero_matrix(n,n,a12);
zero_matrix(n,n,a21);
zero_matrix(n,n,a22);
zero_matrix(n,n,b11);
zero_matrix(n,n,b12);
zero_matrix(n,n,b21);
zero_matrix(n,n,b22);
// Strassens algorithm
for (int i = 0; i < n; i++)
{
for (int j = 0; j < n; j++)
{
// First matrix
a11->matrix[i][j] = m1->matrix[i][j];
a12->matrix[i][j] = m1->matrix[i][j+n];
a21->matrix[i][j] = m1->matrix[i+n][j];
a22->matrix[i][j] = m1->matrix[i+n][j+n];
// Second matrix
b11->matrix[i][j] = m2->matrix[i][j];
b12->matrix[i][j] = m2->matrix[i][j+n];
b21->matrix[i][j] = m2->matrix[i+n][j];
b22->matrix[i][j] = m2->matrix[i+n][j+n];
}
}
// Create two temporary matrices
MATRIX* temp1 = malloc(sizeof(MATRIX));
MATRIX* temp2 = malloc(sizeof(MATRIX));
zero_matrix(n,n,temp1);
zero_matrix(n,n,temp2);
// The 7 important variable matrices of Strassens algorithm
MATRIX* x1 = malloc(sizeof(MATRIX));
MATRIX* x2 = malloc(sizeof(MATRIX));
MATRIX* x3 = malloc(sizeof(MATRIX));
MATRIX* x4 = malloc(sizeof(MATRIX));
MATRIX* x5 = malloc(sizeof(MATRIX));
MATRIX* x6 = malloc(sizeof(MATRIX));
MATRIX* x7 = malloc(sizeof(MATRIX));
zero_matrix(n,n,x1);
zero_matrix(n,n,x2);
zero_matrix(n,n,x3);
zero_matrix(n,n,x4);
zero_matrix(n,n,x5);
zero_matrix(n,n,x6);
zero_matrix(n,n,x7);
// Fill those 7 matrices with the correct values
add_matrices(a11, a22, temp1);
add_matrices(b11, b22, temp2);
strassen_helper(temp1, temp2, x1);
add_matrices(a21, a22, temp1);
strassen_helper(temp1, b11, x2);
subtract_matrices(b12, b22, temp2);
strassen_helper(a11, temp2, x3);
subtract_matrices(b21, b11, temp2);
strassen_helper(a22, temp2, x4);
add_matrices(a11, a12, temp1);
strassen_helper(temp1, b22, x5);
subtract_matrices(a21, a11, temp1);
add_matrices(b11, b12, temp2);
strassen_helper(temp1, temp2, x6);
subtract_matrices(a12, a22, temp1);
add_matrices(b21, b22, temp2);
strassen_helper(temp1, temp2, x7);
// 4 temporary result submatrices
MATRIX* res11 = malloc(sizeof(MATRIX));
MATRIX* res12 = malloc(sizeof(MATRIX));
MATRIX* res21 = malloc(sizeof(MATRIX));
MATRIX* res22 = malloc(sizeof(MATRIX));
zero_matrix(n, n, res11);
zero_matrix(n, n, res12);
zero_matrix(n, n, res21);
zero_matrix(n, n, res22);
add_matrices(x3, x5, res12);
add_matrices(x2, x4, res21);
add_matrices(x1, x4, temp1);
add_matrices(temp1, x7, temp2);
subtract_matrices(temp2, x5, res11);
add_matrices(x1, x3, temp1);
add_matrices(temp1, x6, temp2);
subtract_matrices(temp2, x2, res22);
// Group submatrices
for (int i=0; i<n; i++)
{
for (int j=0; j<n; j++)
{
// first matrix
res->matrix[i][j] = res11->matrix[i][j];
res->matrix[i][j+n] = res12->matrix[i][j];
res->matrix[i+n][j] = res21->matrix[i][j];
res->matrix[i+n][j+n] = res22->matrix[i][j];
}
}
// Free all matrices.
free_matrix(a11);
free_matrix(a12);
free_matrix(a21);
free_matrix(a22);
free_matrix(b11);
free_matrix(b12);
free_matrix(b21);
free_matrix(b22);
free_matrix(temp1);
free_matrix(temp2);
free_matrix(x1);
free_matrix(x2);
free_matrix(x3);
free_matrix(x4);
free_matrix(x5);
free_matrix(x6);
free_matrix(x7);
free_matrix(res11);
free_matrix(res12);
free_matrix(res21);
free_matrix(res22);
}
}
/*
* PURPOSE: run the commands which user entered
* INPUTS:
* cmd double pointer that holds all commands
* mats the matrix list
* num_mats the number of matrix in the list
* RETURN: void
* If no errors occurred during process then return nothing
* else print error message
**/
void run_commands (Commands_t* cmd, Matrix_t** mats, unsigned int num_mats) {
//TODO ERROR CHECK INCOMING PARAMETERS
if(!cmd){
printf("commands array is null\n");
return;
}
if(!(*mats)){
printf("matrix list is null\n");
return;
}
/*Parsing and calling of commands*/
if (strncmp(cmd->cmds[0],"display",strlen("display") + 1) == 0
&& cmd->num_cmds == 2) {
/*find the requested matrix*/
int idx = find_matrix_given_name(mats,num_mats,cmd->cmds[1]);
if (idx >= 0) {
display_matrix (mats[idx]);
}
else {
printf("Matrix (%s) doesn't exist\n", cmd->cmds[1]);
return;
}
}
else if (strncmp(cmd->cmds[0],"add",strlen("add") + 1) == 0
&& cmd->num_cmds == 4) {
int mat1_idx = find_matrix_given_name(mats,num_mats,cmd->cmds[1]);
int mat2_idx = find_matrix_given_name(mats,num_mats,cmd->cmds[2]);
if (mat1_idx >= 0 && mat2_idx >= 0) {
Matrix_t* c = NULL;
if( !create_matrix (&c,cmd->cmds[3], mats[mat1_idx]->rows,
mats[mat1_idx]->cols)) {
printf("Failure to create the result Matrix (%s)\n", cmd->cmds[3]);
return;
}
if(add_matrix_to_array(mats,c, num_mats) == 999){
perror("PROGRAM FAILED TO ADD MATRIX TO ARRAY\n");
return;
} //TODO ERROR CHECK NEEDED
if (! add_matrices(mats[mat1_idx], mats[mat2_idx],c) ) {
printf("Failure to add %s with %s into %s\n", mats[mat1_idx]->name, mats[mat2_idx]->name,c->name);
return;
}
}
}
else if (strncmp(cmd->cmds[0],"duplicate",strlen("duplicate") + 1) == 0
&& cmd->num_cmds == 3 && strlen(cmd->cmds[1]) + 1 <= MATRIX_NAME_LEN) {
int mat1_idx = find_matrix_given_name(mats,num_mats,cmd->cmds[1]);
if (mat1_idx >= 0 ) {
Matrix_t* dup_mat = NULL;
if( !create_matrix (&dup_mat,cmd->cmds[2], mats[mat1_idx]->rows,
mats[mat1_idx]->cols)) {
return;
}
if(!duplicate_matrix (mats[mat1_idx], dup_mat)){
perror("PROGRAM FAILED TO DUPLICATE MATRIX\n");
return;
} //TODO ERROR CHECK NEEDED
if(add_matrix_to_array(mats,dup_mat,num_mats) == 999){
perror("PROGRAM FAILED TO ADD MATRIX TO ARRAY\n");
return;
} //TODO ERROR CHECK NEEDED
printf ("Duplication of %s into %s finished\n", mats[mat1_idx]->name, cmd->cmds[2]);
}
else {
printf("Duplication Failed\n");
return;
}
}
else if (strncmp(cmd->cmds[0],"equal",strlen("equal") + 1) == 0
&& cmd->num_cmds == 2) {
int mat1_idx = find_matrix_given_name(mats,num_mats,cmd->cmds[1]);
int mat2_idx = find_matrix_given_name(mats,num_mats,cmd->cmds[2]);
if (mat1_idx >= 0 && mat2_idx >= 0) {
if ( equal_matrices(mats[mat1_idx],mats[mat2_idx]) ) {
printf("SAME DATA IN BOTH\n");
}
else {
printf("DIFFERENT DATA IN BOTH\n");
}
}
else {
printf("Equal Failed\n");
return;
}
}
else if (strncmp(cmd->cmds[0],"shift",strlen("shift") + 1) == 0
&& cmd->num_cmds == 4) {
int mat1_idx = find_matrix_given_name(mats,num_mats,cmd->cmds[1]);
const int shift_value = atoi(cmd->cmds[3]);
if (mat1_idx >= 0 ) {
if(!bitwise_shift_matrix(mats[mat1_idx],cmd->cmds[2][0], shift_value)){
perror("PROGRAM FAILED TO SHIFT MATRIX\n");
return;
} //TODO ERROR CHECK NEEDED
printf("Matrix (%s) has been shifted by %d\n", mats[mat1_idx]->name, shift_value);
}
else {
printf("Matrix shift failed\n");
return;
}
}
else if (strncmp(cmd->cmds[0],"read",strlen("read") + 1) == 0
&& cmd->num_cmds == 2) {
Matrix_t* new_matrix = NULL;
if(! read_matrix(cmd->cmds[1],&new_matrix)) {
printf("Read Failed\n");
return;
}
if(add_matrix_to_array(mats,new_matrix, num_mats) == 999){
perror("PROGRAM FAILED TO ADD MATRIX TO ARRAY\n");
return;
} //TODO ERROR CHECK NEEDED
printf("Matrix (%s) is read from the filesystem\n", cmd->cmds[1]);
}
else if (strncmp(cmd->cmds[0],"write",strlen("write") + 1) == 0
&& cmd->num_cmds == 2) {
int mat1_idx = find_matrix_given_name(mats,num_mats,cmd->cmds[1]);
if(! write_matrix(mats[mat1_idx]->name,mats[mat1_idx])) {
printf("Write Failed\n");
return;
}
else {
printf("Matrix (%s) is wrote out to the filesystem\n", mats[mat1_idx]->name);
}
}
else if (strncmp(cmd->cmds[0], "create", strlen("create") + 1) == 0
&& strlen(cmd->cmds[1]) + 1 <= MATRIX_NAME_LEN && cmd->num_cmds == 4) {
Matrix_t* new_mat = NULL;
const unsigned int rows = atoi(cmd->cmds[2]);
const unsigned int cols = atoi(cmd->cmds[3]);
if(!create_matrix(&new_mat,cmd->cmds[1],rows, cols)){
perror("PROGRAM FAILED TO ADD CREATE TO ARRAY\n");
return;
} //TODO ERROR CHECK NEEDED
if(add_matrix_to_array(mats,new_mat,num_mats) == 999){
perror("PROGRAM FAILED TO ADD MATRIX TO ARRAY\n");
return;
} // TODO ERROR CHECK NEEDED
printf("Created Matrix (%s,%u,%u)\n", new_mat->name, new_mat->rows, new_mat->cols);
}
else if (strncmp(cmd->cmds[0], "random", strlen("random") + 1) == 0
&& cmd->num_cmds == 4) {
int mat1_idx = find_matrix_given_name(mats,num_mats,cmd->cmds[1]);
const unsigned int start_range = atoi(cmd->cmds[2]);
const unsigned int end_range = atoi(cmd->cmds[3]);
if(!random_matrix(mats[mat1_idx],start_range, end_range)) {
perror("PROGRAM FAILED TO RANDOMIZE MATRIX\n");
return;
} //TODO ERROR CHECK NEEDED
printf("Matrix (%s) is randomized between %u %u\n", mats[mat1_idx]->name, start_range, end_range);
}
else {
printf("Not a command in this application\n");
}
}
double moment ( int moment_n, double x[][3], double y[][3], double delta) {
int n_steps = 100;
int phi_n_steps = 100;
int i, j, n;
int k, t, p;
double value = 0.0;
double delta_sq = delta*delta;
double kappa, theta, phi;
double kappa_step, theta_step, phi_step;
double cosk, sink, costh, sinth;
double surface_element, phi_contributn;
double ATA [4][4] = {{0.0}};
double prev_ATA[4][4] = {{0.0}};
double ATA_sum [4][4] = {{0.0}};
double a[3] = {0.0}, b[3] = {0.0};
double q[4] = {0.0};
/**************/
int construct_ATA (double ATA[4][4], double a[3],double b[3]);
int add_matrices (double matrix1[4][4],double matrix2[4][4],double result[4][4]);
double braket (double ATA[4][4], double q[4]);
/* sum of A^TA matrices */
for (n=0; n<moment_n; n++ ) {
for (i=0; i<3; i++ ) {
a[i] = y[n][i] + x[n][i];
b[i] = y[n][i] - x[n][i];
}
construct_ATA (ATA, a, b);
add_matrices (prev_ATA, ATA, ATA_sum);
memcpy (prev_ATA[0], ATA_sum[0], 4*4*sizeof(double));
}
if (0) { /*check */
q[0] = 1;
for (i=0; i<4; i++ ) {
for (j=0; j<4; j++ ) {
printf ("%8.3lf ", ATA_sum[i][j]);
}
printf ("\n");
}
printf ("\n");
double aux, sum_sq = 0.0;;
for (i=0; i<4; i++ ) {
aux = x[1][i]-y[1][i];
sum_sq += aux*aux;
}
printf ( " 00: %8.4le %8.4le %8.4le \n",
ATA_sum[0][0], braket(ATA_sum, q), sum_sq);
exit(1);
}
value = 0.0;
kappa_step = M_PI/n_steps;
theta_step = M_PI/n_steps;
phi_step = 2*M_PI/phi_n_steps;
/* for angles kappa, theta phi */
for (k=1; k<=n_steps; k++) {
kappa = ( (double)k-0.5)*kappa_step;
cosk = cos(kappa);
sink = sin(kappa);
q[0] = cosk;
for (t=1; t<=n_steps; t++) {
theta = ( (double)t-0.5)*theta_step;
sinth = sin (theta);
costh = cos (theta);
q[3] = sink*costh;
surface_element = sink*sink*sinth;
phi_contributn = 0;
for (p=1; p<=phi_n_steps; p++) {
phi = ((double)p-0.5)*phi_step;
q[1] = sink*sinth*cos(phi);
q[2] = sink*sinth*sin(phi);
phi_contributn += exp(-braket(ATA_sum, q)/delta_sq);
//value += sink*sink*sinth;
//printf ( "%3d %3d %3d %8.4le %8.2le -- %8.4le \n", k, t, p,
//braket(ATA, q), exp(-braket(ATA, q)/delta_sq), phi_contributn);
}
value += phi_contributn*surface_element;
}
}
value *= kappa_step*theta_step*phi_step; /*integration steps*/
value /= 2*M_PI*M_PI; /* the function should return the average*/
return value;
}
int mappedCoords2rotation (double **x, double **y, int no_vectors,
double q[4], double **R, double T[3], double *rmsd) {
double x_mp[3], y_mp[3];
int ctr;
int i, j;
double ATA [4][4] = {{0.0}};
double prev_ATA[4][4] = {{0.0}};
double ATA_sum [4][4] = {{0.0}};
double a[3] = {0.0}, b[3] = {0.0};
int add_matrices (double matrix1[4][4],double matrix2[4][4],
double result[4][4]);
int construct_ATA (double ATA[4][4], double a[3], double b[3]);
/* note how we pass the matrix: pointer to the first element in the block */
void dsyev_ (char * jobz, char *uplo, int *n,
double *A, int * lda, double * w, double * work, int * lwork, int *info);
if (!no_vectors) {
*rmsd = -1;
return 1;
}
memset ( &(q[0]), 0, 4*sizeof(double) );
/* turn the matching atoms into vectors x and y - use only c-alphas*/
/* check: */
if (0) {
printf (" Number of vectors read in: %d. \n", no_vectors);
for ( ctr =0; ctr < no_vectors; ctr++ ) {
printf ("\t x%1d %10.4lf %10.4lf %10.4lf ",
ctr, x[0][ctr], x[1][ctr], x[2][ctr]);
printf ("\t y%1d %10.4lf %10.4lf %10.4lf \n",
ctr, y[0][ctr], y[1][ctr], y[2][ctr]);
}
exit (1);
}
/* find the meanpoints: */
for ( i =0; i < 3; i++ ) {
x_mp[i] = 0.0;
y_mp[i] = 0.0;
}
for ( ctr =0; ctr < no_vectors; ctr++ ) {
for ( i =0; i < 3; i++ ) {
x_mp[i] += x[i][ctr];
y_mp[i] += y[i][ctr];
}
}
for ( i =0; i < 3; i++ ) {
x_mp[i] /= no_vectors;
y_mp[i] /= no_vectors;
}
/* subtract them from x, y */
for ( ctr =0; ctr < no_vectors; ctr++ ) {
for ( i =0; i < 3; i++ ) {
x[i][ctr] -= x_mp[i];
y[i][ctr] -= y_mp[i];
}
}
/* B = ATA_sum matrix to diagonalize in order to get the quaternion */
for ( ctr =0; ctr < no_vectors; ctr++ ) {
for (i=0; i<3; i++ ) {
a[i] = y[i][ctr] + x[i][ctr];
b[i] = y[i][ctr] - x[i][ctr];
}
construct_ATA (ATA, a, b);
add_matrices (prev_ATA, ATA, ATA_sum);
memcpy (prev_ATA[0], ATA_sum[0], 4*4*sizeof(double));
}
for (i=0; i<4; i++ ) {
for (j=0; j<4; j++ ) {
ATA_sum[i][j] /= no_vectors;
}
}
/* diagonalize ATA_sum - the eigenvector corresponsing to the
smallest lambda is the quaternion we are looking for; the
eigenvalue is the rmsd*/
/* use the nomenclature from dsyev*/
char jobz= 'V'; /*Compute eigenvalues and eigenvectors.*/
char uplo= 'U'; /* Upper triangle of A (the matrix we are diagonalizing) is stored; */
int n = 4; /* order and the leading dimension of A */
int lda = 4;
double ** A;
int info;
int lwork = 200;
double w [4];
double work[200];
if ( !( A=dmatrix(4,4) ) ) exit (1);
memcpy (A[0], ATA_sum[0], 4*4*sizeof(double));
/* note how we pass the matrix: */
dsyev_ ( &jobz, &uplo, &n, A[0], &lda, w, work, &lwork, &info);
if ( ! info) {
*rmsd = sqrt (w[0]);
for (i=0; i<4; i++ ) q[i] = A[0][i];
if (0) {
/* w contains the eigenvalues */
printf ("\n");
for (i=0; i<4; i++ ) printf ("%8.3lf ", w[i]);
printf ("\nrmsd: %8.3lf \n", *rmsd);
printf ("quat:\n");
for (i=0; i<4; i++ ) printf ("%8.3lf ", q[i]);
printf ("\n");
/* printf (" opt lwork: %d\n", (int) work[0]); */
}
} else {
fprintf (stderr, "Error in dsyev().\n");
exit (1);
}
/* construct the rotation matrix R */
quat_to_R (q,R);
/* T = y_mp - R x_mp */
for (i=0; i<3; i++ ) {
T[i] = y_mp[i];
for (j=0; j<3; j++ ) {
T[i] -= R[i][j]*x_mp[j];
}
}
free_dmatrix(A);
return 0;
}
int main(void) {
clock_t begin, end;
double time_spent;
begin = clock();
matrix* a = create_matrix(4, 4);
value temp_a[16] = { 18, 60, 57, 96,
41, 24, 99, 58,
14, 30, 97, 66,
51, 13, 19, 85 };
insert_array(temp_a, a);
matrix* b = create_matrix(4, 4);
assert(insert_array(temp_a, b));
//tests check_boundaries
assert(check_boundaries(1,1,a));
assert(check_boundaries(4,4,a));
assert(!check_boundaries(4,5,a));
assert(!check_boundaries(5,4,a));
assert(!check_boundaries(0,1,a));
assert(!check_boundaries(1,0,a));
assert(!check_boundaries(-1,1,a));
assert(!check_boundaries(1,-1,a));
//tests compare_matrices,insert_value and get_value
assert(compare_matrices(a,b));
assert(insert_value(10,1,1,b));
assert(!compare_matrices(a,b));
assert(get_value(1,1,b)==10);
assert(insert_value(18,1,1,b));
assert(compare_matrices(a,b));
//tests is_matrix
matrix* c=a;
assert(compare_matrices(a,c));
assert(!is_matrix(a,b));
assert(is_matrix(a,c));
//tests insert_value by trying to go outside the matrix
assert(insert_value(1,1,1,c));
assert(insert_value(2,2,2,c));
assert(insert_value(3,3,3,c));
assert(insert_value(4,4,4,c));
assert(!insert_value(5,5,5,c));
assert(!insert_value(-1,-1,-1,c));
assert(!insert_value(-1,-1,1,c));
assert(!insert_value(-1,1,-1,c));
//test get_value
assert(get_value(1,1,c)==1);
assert(get_value(2,2,c)==2);
assert(get_value(3,3,c)==3);
assert(get_value(4,4,c)==4);
assert(get_value(0,0,c)==0);
assert(get_value(1,-1,c)==0);
assert(get_value(-1,1,c)==0);
assert(get_value(5,5,c)==0);
//tests insert and get without boundary checks
insert_value_without_check(4,1,1,c);
insert_value_without_check(3,2,2,c);
insert_value_without_check(2,3,3,c);
insert_value_without_check(1,4,4,c);
assert(get_value_without_check(1,1,c)==4);
assert(get_value_without_check(2,2,c)==3);
assert(get_value_without_check(3,3,c)==2);
assert(get_value_without_check(4,4,c)==1);
//tests add_matrices
value temp_b[16]={
36,120,114,192,
82,48,198,116,
28, 60, 194,132,
102,26,38,170};
assert(insert_array(temp_b,a));
matrix* d = create_matrix(4, 4);
assert(add_matrices(b,b,d));
assert(compare_matrices(d,a));
//tests subtract_matrices
value temp_c[16]={
0,0,0,0,
0,0,0,0,
0, 0, 0,0,
0,0,0,0};
assert(insert_array(temp_c,a));
assert(subtract_matrices(b,b,d));
assert(compare_matrices(d,a));
//tests sum_of_row
assert(insert_array(temp_a,a));
assert(sum_of_row(1,a)==231);
assert(sum_of_row(4,a)==168);
assert(sum_of_row(0,a)==0);
assert(sum_of_row(5,a)==0);
//tests sum_of_column
assert(sum_of_column(1,a)==124);
assert(sum_of_column(4,a)==305);
assert(sum_of_column(0,a)==0);
assert(sum_of_column(5,a)==0);
//tests get_row_vector
matrix* e = create_matrix(1, 4);
value temp_d[4] = { 18, 60, 57, 96};
assert(insert_array(temp_d,e));
matrix* f = create_matrix(1, 4);
assert(!get_row_vector(0,a,f));
assert(!get_row_vector(5,a,f));
assert(get_row_vector(1,a,f));
assert(compare_matrices(e,f));
//tests get_column_vector
matrix* g = create_matrix(4, 1);
assert(insert_array(temp_d,e));
matrix* h = create_matrix(1, 4);
assert(!get_row_vector(0,a,h));
assert(!get_row_vector(5,a,h));
assert(get_row_vector(1,a,h));
assert(compare_matrices(e,h));
//tests mulitply_matrices
assert(multiply_matrices(a,a,b));
value temp_f[16]={8478,5478,14319,17130,
6066,6760,15418,16792,
6206,5328,14431,15096,
6052,5047,7652,14129.00};
assert(insert_array(temp_f,d));
assert(compare_matrices(b,d));
assert(!multiply_matrices(a,h,b));
assert(!multiply_matrices(a,a,h));
//tests transpose_matrix
value temp_g[16]={18,41,14,51,
60,24,30,13,
57,99,97,19,
96,58,66,85};
assert(insert_array(temp_g,d));
assert(transpose_matrix(a,b));
assert(compare_matrices(b,d));
assert(!transpose_matrix(e,b));
assert(!transpose_matrix(a,e));
//tests multiply_matrix_with_scalar
value temp_h[16] = { 36, 120, 114, 192,
82, 48, 198, 116,
28, 60, 194, 132,
102, 26, 38, 170 };
assert(insert_array(temp_h,b));
multiply_matrix_with_scalar(2,a);
assert(compare_matrices(a,b));
//test get_sub_matrix
matrix* i=create_matrix(2,2);
assert(insert_array(temp_a,a));
assert(get_sub_matrix(1,2,1,2,a,i));
matrix* j=create_matrix(2,2);
value temp_i[4] = { 18, 60, 41, 24};
assert(insert_array(temp_i,j));
assert(compare_matrices(j,i));
value temp_j[4] = { 97, 66, 19, 85};
assert(insert_array(temp_j,j));
assert(get_sub_matrix(3,4,3,4,a,i));
assert(compare_matrices(j,i));
assert(!get_sub_matrix(2,4,3,4,a,i));
assert(!get_sub_matrix(3,4,2,4,a,i));
assert(!get_sub_matrix(4,5,4,5,a,i));
assert(!get_sub_matrix(0,1,0,1,a,i));
//test insert_row_vector
assert(insert_array(temp_a,a));
value temp_k[16] = { 18, 60, 57, 96,
18, 60, 57, 96,
14, 30, 97, 66,
51, 13, 19, 85 };
assert(insert_array(temp_k,b));
assert(insert_array(temp_d,e));
assert(insert_row_vector(2,e,a));
assert(compare_matrices(a,b));
end = clock();
time_spent = (double)(end - begin) / CLOCKS_PER_SEC;
printf("time taken was: %f \n",time_spent);
free_matrix(a);
free_matrix(b);
free_matrix(d);
free_matrix(e);
free_matrix(f);
free_matrix(g);
free_matrix(h);
free_matrix(i);
free_matrix(j);
return 0;
}
/*
* PURPOSE: Runs various commands for the operations to be performed on the matrices
* INPUTS: command array, matrix array, size of matrix array
* RETURN: Nothing
**/
void run_commands (Commands_t* cmd, Matrix_t** mats, unsigned int num_mats) {
if(cmd == NULL || mats == NULL || num_mats <= 0)
return;
/*Parsing and calling of commands*/
if (strncmp(cmd->cmds[0],"display",strlen("display") + 1) == 0
&& cmd->num_cmds == 2) {
/*find the requested matrix*/
int idx = find_matrix_given_name(mats,num_mats,cmd->cmds[1]);
if (idx >= 0) {
display_matrix (mats[idx]);
}
else {
printf("Matrix (%s) doesn't exist\n", cmd->cmds[1]);
return;
}
}
else if (strncmp(cmd->cmds[0],"add",strlen("add") + 1) == 0
&& cmd->num_cmds == 4) {
int mat1_idx = find_matrix_given_name(mats,num_mats,cmd->cmds[1]);
int mat2_idx = find_matrix_given_name(mats,num_mats,cmd->cmds[2]);
if (mat1_idx >= 0 && mat2_idx >= 0) {
Matrix_t* c = NULL;
if( !create_matrix (&c,cmd->cmds[3], mats[mat1_idx]->rows,
mats[mat1_idx]->cols)) {
printf("Failure to create the result Matrix (%s)\n", cmd->cmds[3]);
return;
}
if(add_matrix_to_array(mats,c, num_mats) == -1){
printf("Failed to add matrix to the array");
return;
}
if (! add_matrices(mats[mat1_idx], mats[mat2_idx],c) ) {
printf("Failure to add %s with %s into %s\n", mats[mat1_idx]->name, mats[mat2_idx]->name,c->name);
return;
}
}
}
else if (strncmp(cmd->cmds[0],"duplicate",strlen("duplicate") + 1) == 0
&& cmd->num_cmds == 3 && strlen(cmd->cmds[1]) + 1 <= MATRIX_NAME_LEN) {
int mat1_idx = find_matrix_given_name(mats,num_mats,cmd->cmds[1]);
if (mat1_idx >= 0 ) {
Matrix_t* dup_mat = NULL;
if( !create_matrix (&dup_mat,cmd->cmds[2], mats[mat1_idx]->rows,
mats[mat1_idx]->cols)) {
return;
}
if(duplicate_matrix (mats[mat1_idx], dup_mat) == false){
printf("Duplication Failed\n");
return;
}
if(add_matrix_to_array(mats,dup_mat,num_mats) == -1){
printf("Failed to add matrix to array\n");
return;
}
printf ("Duplication of %s into %s finished\n", mats[mat1_idx]->name, cmd->cmds[2]);
}
else {
printf("Duplication Failed\n");
return;
}
}
else if (strncmp(cmd->cmds[0],"equal",strlen("equal") + 1) == 0
&& cmd->num_cmds == 3) {
int mat1_idx = find_matrix_given_name(mats,num_mats,cmd->cmds[1]);
int mat2_idx = find_matrix_given_name(mats,num_mats,cmd->cmds[2]);
if (mat1_idx >= 0 && mat2_idx >= 0) {
if ( equal_matrices(mats[mat1_idx],mats[mat2_idx]) ) {
printf("SAME DATA IN BOTH\n");
}
else {
printf("DIFFERENT DATA IN BOTH\n");
}
}
else {
printf("Equal Failed\n");
return;
}
}
else if (strncmp(cmd->cmds[0],"shift",strlen("shift") + 1) == 0
&& cmd->num_cmds == 4) {
int mat1_idx = find_matrix_given_name(mats,num_mats,cmd->cmds[1]);
const int shift_value = atoi(cmd->cmds[3]);
if (mat1_idx <= 0 ) {
printf("Matrix shift failed\n");
return;
}
if(bitwise_shift_matrix(mats[mat1_idx],cmd->cmds[2][0], shift_value) == false){
printf("Matrix shift failed\n");
return;
}
else
printf("Matrix (%s) has been shifted by %d\n", mats[mat1_idx]->name, shift_value);
}
else if (strncmp(cmd->cmds[0],"read",strlen("read") + 1) == 0
&& cmd->num_cmds == 2) {
Matrix_t* new_matrix = NULL;
if(! read_matrix(cmd->cmds[1],&new_matrix)) {
printf("Read Failed\n");
return;
}
if(add_matrix_to_array(mats,new_matrix, num_mats) == -1){
printf("Failed to add matrix to the array");
;
}
printf("Matrix (%s) is read from the filesystem\n", cmd->cmds[1]);
}
else if (strncmp(cmd->cmds[0],"write",strlen("write") + 1) == 0
&& cmd->num_cmds == 2) {
int mat1_idx = find_matrix_given_name(mats,num_mats,cmd->cmds[1]);
if(! write_matrix(mats[mat1_idx]->name,mats[mat1_idx])) {
printf("Write Failed\n");
return;
}
else {
printf("Matrix (%s) is wrote out to the filesystem\n", mats[mat1_idx]->name);
}
}
else if (strncmp(cmd->cmds[0], "create", strlen("create") + 1) == 0
&& strlen(cmd->cmds[1]) + 1 <= MATRIX_NAME_LEN && cmd->num_cmds == 4) {
Matrix_t* new_mat = NULL;
const unsigned int rows = atoi(cmd->cmds[2]);
const unsigned int cols = atoi(cmd->cmds[3]);
if(create_matrix(&new_mat,cmd->cmds[1],rows, cols) == false){
printf("Failed to create the matrix");
return;
}
if(add_matrix_to_array(mats,new_mat,num_mats) == -1){
printf("Failed to add matrix to the array");
return;
}
printf("Created Matrix (%s,%u,%u)\n", new_mat->name, new_mat->rows, new_mat->cols);
}
else if (strncmp(cmd->cmds[0], "random", strlen("random") + 1) == 0
&& cmd->num_cmds == 4) {
int mat1_idx = find_matrix_given_name(mats,num_mats,cmd->cmds[1]);
const unsigned int start_range = atoi(cmd->cmds[2]);
const unsigned int end_range = atoi(cmd->cmds[3]);
if(random_matrix(mats[mat1_idx],start_range, end_range) == false){
printf("Failed to randomize\n");
return;//TODO ERROR CHECK NEEDED
}
printf("Matrix (%s) is randomized between %u %u\n", mats[mat1_idx]->name, start_range, end_range);
}
else {
printf("Not a command in this application\n");
}
}
int opt_quat ( double ** x, int NX, int *set_of_directions_x,
double ** y, int NY, int *set_of_directions_y,
int set_size, double * q, double * rmsd) {
double * x_sub[set_size], * y_sub[set_size];
int ctr;
int i, j;
double ATA [4][4] = {{0.0}};
double prev_ATA[4][4] = {{0.0}};
double ATA_sum [4][4] = {{0.0}};
double a[3] = {0.0}, b[3] = {0.0};
int add_matrices (double matrix1[4][4],double matrix2[4][4],
double result[4][4]);
int construct_ATA (double ATA[4][4], double a[3], double b[3]);
/* note how we pass the matrix: pointer to the first element in the block */
void dsyev_ (char * jobz, char *uplo, int *n,
double *A, int * lda, double * w, double * work, int * lwork, int *info);
if (!set_size) {
*rmsd = -1;
return 1;
}
memset ( &(q[0]), 0, 4*sizeof(double) );
/* find the subset */
ctr = 0;
for ( ctr =0; ctr < set_size; ctr++ ) {
x_sub[ctr] = x[set_of_directions_x[ctr]];
y_sub[ctr] = y[set_of_directions_y[ctr]];
}
/* check: */
if (0) {
printf (" Number of vectors to match: %d. \n", set_size);
for ( ctr =0; ctr < set_size; ctr++ ) {
printf ("\t x%1d %10.4lf %10.4lf %10.4lf ",
ctr, x_sub[ctr][0], x_sub[ctr][1], x_sub[ctr][2]);
printf ("\t y%1d %10.4lf %10.4lf %10.4lf \n",
ctr, y_sub[ctr][0], y_sub[ctr][1], y_sub[ctr][2]);
}
exit (1);
}
/* B = ATA_sum matrix to diagonalize in order to get the quaternion */
for ( ctr =0; ctr < set_size; ctr++ ) {
for (i=0; i<3; i++ ) {
a[i] = y_sub[ctr][i] + x_sub[ctr][i];
b[i] = y_sub[ctr][i] - x_sub[ctr][i];
}
construct_ATA (ATA, a, b);
add_matrices (prev_ATA, ATA, ATA_sum);
memcpy (prev_ATA[0], ATA_sum[0], 4*4*sizeof(double));
}
for (i=0; i<4; i++ ) {
for (j=0; j<4; j++ ) {
ATA_sum[i][j] /= set_size;
}
}
/* diagonalize ATA_sum - the eigenvector corresponsing to the
smallest lambda is the quaternion we are looking for; the
eigenvalue is the rmsd*/
/* use the nomenclature from dsyev*/
char jobz= 'V'; /*Compute eigenvalues and eigenvectors.*/
char uplo= 'U'; /* Upper triangle of A (the matrix we are diagonalizing) is stored; */
int n = 4; /* order and the leading dimension of A */
int lda = 4;
double ** A;
int info;
int lwork = 200;
double w [4];
double work[200];
if ( !( A=dmatrix(4,4) ) ) exit (1);
memcpy (A[0], ATA_sum[0], 4*4*sizeof(double));
/* note how we pass the matrix: */
dsyev_ ( &jobz, &uplo, &n, A[0], &lda, w, work, &lwork, &info);
if ( ! info) {
*rmsd = sqrt (w[0]);
for (i=0; i<4; i++ ) q[i] = A[0][i];
if (0) {
/* w contains the eigenvalues */
printf ("\n");
for (i=0; i<4; i++ ) printf ("%8.3lf ", w[i]);
printf ("\nrmsd: %8.3lf \n", *rmsd);
printf ("quat:\n");
for (i=0; i<4; i++ ) printf ("%8.3lf ", q[i]);
printf ("\n");
/* printf (" opt lwork: %d\n", (int) work[0]); */
}
} else {
fprintf (stderr, "Error in dsyev().\n");
exit (1);
}
free_dmatrix(A);
return 0;
}
int main(void)
{
int retval = 0;
int choice = 0;
short *prandom_data;
#ifdef PATCHED_1
char m_result_data[MAX_ROWS * MAX_COLS * sizeof(int)];
#else
char m_result_data[((MAX_ROWS * MAX_COLS) - 1) * sizeof(int)];
#endif
prandom_data = create_random_shorts();
matrix_t *m;
matrix_t *m1, *m2;
matrix_t *m_result;
m1 = create_matrix(SHORT, NULL);
m2 = create_matrix(SHORT, NULL);
m_result = create_matrix(INT, m_result_data);
char *input = malloc(2048);
printf("Matrix math is fun!\n");
printf("-------------------\n");
while (1)
{
choice = select_menu_choice(input, LINE_SIZE);
switch(choice)
{
case 1:
printf("Inputting Matrix Values:\n");
m = choose_matrix(m1, m2, input, LINE_SIZE);
if (!m)
goto cgc_exit;
if (input_matrix(m, input, LINE_SIZE) == ERROR)
goto cgc_exit;
break;
case 2:
printf("Print Matrices:\n");
print_matrices(m1, m2, m_result);
break;
case 3:
printf("Adding Matrices:\n");
add_matrices(m1, m2, m_result);
break;
case 4:
printf("Subtracting Matrices:\n");
subtract_matrices(m1, m2, m_result);
break;
case 5:
printf("Multiplying Matrices:\n");
multiply_matrices(m1, m2, m_result);
break;
case 6:
printf("Swap Rows in a Matrix:\n");
m = choose_matrix(m1, m2, input, LINE_SIZE);
if (!m)
goto cgc_exit;
retval = swap_matrix_row_col(m, SWAP_ROW, input, LINE_SIZE);
if (retval == ERROR)
goto cgc_exit;
if (retval == SUCCESS)
print_matrix("Swapped Rows", m);
break;
case 7:
printf("Swap Columns in a Matrix:\n");
m = choose_matrix(m1, m2, input, LINE_SIZE);
if (!m)
goto cgc_exit;
retval = swap_matrix_row_col(m, SWAP_COL, input, LINE_SIZE);
if (retval == ERROR)
goto cgc_exit;
if (retval == SUCCESS)
print_matrix("Swapped Columns", m);
break;
case 8:
printf("Transpose a Matrix:\n");
m = choose_matrix(m1, m2, input, LINE_SIZE);
if (!m)
goto cgc_exit;
transpose_matrix(m);
break;
case 9:
printf("Perform Reduced Row Echelon Form on Matrix\n");
m = choose_matrix(m1, m2, input, LINE_SIZE);
if (!m)
goto cgc_exit;
rref_matrix(m, m_result);
break;
case 10:
printf("Create a Random Matrix:\n");
m = choose_matrix(m1, m2, input, LINE_SIZE);
if (!m)
goto cgc_exit;
if (random_matrix(m, input, LINE_SIZE, prandom_data) == ERROR)
goto cgc_exit;
break;
case 11:
goto cgc_exit;
default:
printf("Bad Selection\n");
}
}
cgc_exit:
printf("Exiting...\n");
return 0;
}