// create1polyonym() creates a single-variable polyonym ('polyonym') from a double-variable polyonym ('polyonym2') from position 'point' with variable 'v'
void create1polyonym(Polyonym2 * polyonym2, Polyonym * polyonym, char v, int point){
int i=0,j=0,set=0;
if(v=='x'){
j=point;
set=0;
while(i<=getDegree2(polyonym2, 'y')){
if(get_polymatrix2(polyonym2,j,i)!=0){set=i;}
i++;
}
polyonym->d=set;
polyonym->matrix=NULL;
polyonym->matrix=malloc(sizeof(double)*(set+1));
if(polyonym->matrix==NULL){perror("Single Polyonym matrix malloc!");free(polyonym);exit(0);}
i=0;
while(i<=set){
(polyonym->matrix)[i]=get_polymatrix2(polyonym2,j,i);
i++;
}
polyonym->var='y';
}
else if(v=='y'){
i=point;
set=0;
while(j<=getDegree2(polyonym2, 'x')){
if(get_polymatrix2(polyonym2,j,i)!=0){set=j;}
j++;
}
polyonym->d=set;
polyonym->matrix=NULL;
polyonym->matrix=malloc(sizeof(double)*(set+1));
if(polyonym->matrix==NULL){perror("Single Polyonym matrix malloc!");free(polyonym);exit(0);}
j=0;
while(j<=set){
(polyonym->matrix)[j]=get_polymatrix2(polyonym2,j,i);
j++;
}
polyonym->var='x';
}
}
// createsylvester() creates a Sylvester struct ('sylvester') and its matrix is filled with single-variable Polyonym structs that derive from 'p1' and 'p2' or from a zero-value Polyonym2 struct
void createsylvester (Sylvester ** sylvester, Polyonym2 * p1, Polyonym2 * p2) {
int degP1x=0, degP2x=0, degP1y=0, degP2y=0, dim=0, maxX=0, maxY=0, counter1=0, counter2=0, i=0, j=0, m=0, n=0;
char hidden;
Polyonym2 * ZeroPoly=NULL;
createpolyonym2("0", &ZeroPoly, 0);
(*sylvester)=NULL;
(*sylvester)=malloc(sizeof(struct Sylvester));
if ((*sylvester)==NULL) {perror("Sylvester malloc!");exit(0);}
degP1x=getDegree2(p1, 'x');
degP2x=getDegree2(p2, 'x');
degP1y=getDegree2(p1, 'y');
degP2y=getDegree2(p2, 'y');
if (degP1x>=degP2x) {
maxX=degP1x;
}
else {
maxX=degP2x;
}
if (degP1y>=degP2y) {
maxY=degP1y;
}
else {
maxY=degP2y;
}
if (maxX>=maxY) {
hidden='y';
dim=degP1x+degP2x;
}
else {
hidden='x';
dim=degP1y+degP2y;
}
(*sylvester)->hidden=hidden;
(*sylvester)->dim=dim;
printf("-Sylvester:\n");
printf("Dimension is: %d and the ", (*sylvester)->dim);
if (hidden=='x') {
if (degP1x>=degP2x && degP2y!=0 ) {
(*sylvester)->degree=degP1x;
}
else {
(*sylvester)->degree=degP2x;
}
}
else {
if (degP1y>=degP2y && degP2x!=0 ) {
(*sylvester)->degree=degP1y;
}
else {
(*sylvester)->degree=degP2y;
}
}
printf("hidden variable is %c with degree %d\n",hidden,(*sylvester)->degree);
printf("---------------------------------------------\n");
(*sylvester)->matrix=NULL;
(*sylvester)->matrix=malloc(sizeof(Polyonym *)*dim);
if ((*sylvester)->matrix==NULL) {perror("Sylvester matrix malloc!");exit(0);}
for (i=0 ; i<dim ; i++) {
(*sylvester)->matrix[i]=NULL;
(*sylvester)->matrix[i]=malloc(sizeof(Polyonym)*dim);
if ((*sylvester)->matrix[i]==NULL) {perror("Sylvester matrix malloc!");exit(0);}
}
counter1=0;
counter2=0;
m=dim-1;
for (i=0 ; i<dim ; i++) {
n=dim-1;
if ((*sylvester)->hidden=='x') {
if (i<degP2y) {
if (counter1==0) {
for (j=0 ; j<=degP1y ; j++) {
create1polyonym(p1, &((*sylvester)->matrix[m][n]), 'y', j);
n--;
}
for (j=degP1y+1 ; j<degP1y+degP2y ; j++) {
create1polyonym(ZeroPoly, &((*sylvester)->matrix[m][n]), 'y', 0);
n--;
}
}
else {
for(j=0 ; j<counter1 ; j++) {
create1polyonym(ZeroPoly, &((*sylvester)->matrix[m][n]), 'y', 0);
n--;
}
for (j=counter1 ; j<=degP1y+counter1 ; j++) {
create1polyonym(p1, &((*sylvester)->matrix[m][n]), 'y', j-counter1);
n--;
}
for (j=degP1y+counter1+1 ; j<degP1y+degP2y ; j++) {
create1polyonym(ZeroPoly, &((*sylvester)->matrix[m][n]), 'y', 0);
n--;
}
}
counter1++;
}
else {
if (counter2==0) {
for (j=0 ; j<=degP2y ; j++) {
create1polyonym(p2, &((*sylvester)->matrix[m][n]), 'y', j);
n--;
}
for (j=degP2y+1 ; j<degP1y+degP2y ; j++) {
create1polyonym(ZeroPoly, &((*sylvester)->matrix[m][n]), 'y', 0);
n--;
}
}
else {
for(j=0 ; j<counter2 ; j++) {
create1polyonym(ZeroPoly, &((*sylvester)->matrix[m][n]), 'y', 0);
n--;
}
for (j=counter2 ; j<=degP2y+counter2 ; j++) {
create1polyonym(p2, &((*sylvester)->matrix[m][n]), 'y', j-counter2);
n--;
}
for (j=degP2y+counter2+1 ; j<degP1y+degP2y ; j++) {
create1polyonym(ZeroPoly, &((*sylvester)->matrix[m][n]), 'y', 0);
n--;
}
}
counter2++;
}
}
else {
if (i<degP2x) {
if (counter1==0) {
for (j=0 ; j<=degP1x ; j++) {
create1polyonym(p1, &((*sylvester)->matrix[m][n]), 'x', j);
n--;
}
for (j=degP1x+1 ; j<degP1x+degP2x ; j++) {
create1polyonym(ZeroPoly, &((*sylvester)->matrix[m][n]), 'x', 0);
n--;
}
}
else {
for(j=0 ; j<counter1 ; j++) {
create1polyonym(ZeroPoly, &((*sylvester)->matrix[m][n]), 'x', 0);
n--;
}
for (j=counter1 ; j<=degP1x+counter1 ; j++) {
create1polyonym(p1, &((*sylvester)->matrix[m][n]), 'x', j-counter1);
n--;
}
for (j=degP1x+counter1+1 ; j<degP1x+degP2x ; j++) {
create1polyonym(ZeroPoly, &((*sylvester)->matrix[m][n]), 'x', 0);
n--;
}
}
counter1++;
}
else {
if (counter2==0) {
for (j=0 ; j<=degP2x ; j++) {
create1polyonym(p2, &((*sylvester)->matrix[m][n]), 'x', j);
n--;
}
for (j=degP2x+1 ; j<degP1x+degP2x ; j++) {
create1polyonym(ZeroPoly, &((*sylvester)->matrix[m][n]), 'x', 0);
n--;
}
}
else {
for(j=0 ; j<counter2 ; j++) {
create1polyonym(ZeroPoly, &((*sylvester)->matrix[m][n]), 'x', 0);
n--;
}
for (j=counter2 ; j<=degP2x+counter2 ; j++) {
create1polyonym(p2, &((*sylvester)->matrix[m][n]), 'x', j-counter2);
n--;
}
for (j=degP2x+counter2+1 ; j<degP1x+degP2x ; j++) {
create1polyonym(ZeroPoly, &((*sylvester)->matrix[m][n]), 'x', 0);
n--;
}
}
counter2++;
}
}
m--;
}
deletepoly2(ZeroPoly);
return;
}