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gravity.c
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gravity.c
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//TODO: FIX VISITED PROBLEM FOR LOOPS.
//TODO: REMINDER: Routes less that 2 length (including 1 and 0) should not use 3procGravity algorithm because they have definite answers.
#include "funcHeader.h"
int isButterflyIndex(int index);
void resetGravityMatrix(){
for (int i = 0; i < nodeCounts; i++)
for (int j = 0; j < nodeCounts; j++){
linkGravity[i][j] = 0;
}
} // Set Gravity Matrix to 0.
void makeGravitySymmetric(){
int sum = 0;
for (int i = 0; i < nodeCounts; i++)
for (int j = 0; j < nodeCounts; j++) {
if (i>=j) {
sum = linkGravity[i][j] + linkGravity[j][i];
// printf("%d,%d: %d ", i, j, sum);
linkGravity[i][j] = sum;
linkGravity[j][i] = sum;
sum = 0;
// printf("%d\n", sum);
}
}
} // Makes the Gravity Matrix symmetric.
void printGravityMatrix(){
for (int i = 0; i < nodeCounts; i++) {
for (int j = 0; j < nodeCounts; j++) {
printf("%2d\t", linkGravity[i][j]);
}
printf("\n");
}
} // Prints the Gravity Matrix.
void add2lengthRoutes(int startNode, int weight) {
for (int ad1 = 0; ad1 < nodeCounts; ad1++)
if (adMatrix[startNode][ad1])
for (int ad2 = 0; ad2 < nodeCounts; ad2++)
if (adMatrix[ad1][ad2] && isButterflyIndex(ad2)) {
//printf("%d %d %d\n", startNode, ad1, ad2);
linkGravity[startNode][ad1] += weight;
linkGravity[ad1][ad2] += weight;
}
} // Add gravity for 2-lengths.
void add3lengthRoutes(int startNode, int weight){
for (int ad1 = 0; ad1 < nodeCounts; ad1++)
if (adMatrix[startNode][ad1])
for (int ad2 = 0; ad2 < nodeCounts; ad2++)
if (adMatrix[ad1][ad2])
for (int ad3 = 0; ad3 < nodeCounts; ad3++)
if (adMatrix[ad2][ad3] && isButterflyIndex(ad3)){
//printf("%d %d %d %d\n", startNode, ad1, ad2, ad3);
linkGravity[startNode][ad1] += weight;
linkGravity[ad1][ad2] += weight;
linkGravity[ad2][ad3] += weight;
}
} // Add gravity for 3-lengths.
void add4lengthRoutes(int startNode, int weight){
for (int ad1 = 0; ad1 < nodeCounts; ad1++)
if (adMatrix[startNode][ad1])
for (int ad2 = 0; ad2 < nodeCounts; ad2++)
if (adMatrix[ad1][ad2])
for (int ad3 = 0; ad3 < nodeCounts; ad3++)
if (adMatrix[ad2][ad3])
for (int ad4 = 0; ad4 < nodeCounts; ad4++)
if (adMatrix[ad3][ad4] && isButterflyIndex(ad4)){
//printf("%d %d %d %d %d\n", startNode, ad1, ad2, ad3, ad4);
linkGravity[startNode][ad1] += weight;
linkGravity[ad1][ad2] += weight;
linkGravity[ad2][ad3] += weight;
linkGravity[ad3][ad4] += weight;
}
} // Add gravity for 4-lengths.
void add5lengthRoutes(int startNode, int weight){
for (int ad1 = 0; ad1 < nodeCounts; ad1++)
if (adMatrix[startNode][ad1])
for (int ad2 = 0; ad2 < nodeCounts; ad2++)
if (adMatrix[ad1][ad2])
for (int ad3 = 0; ad3 < nodeCounts; ad3++)
if (adMatrix[ad2][ad3])
for (int ad4 = 0; ad4 < nodeCounts; ad4++)
if (adMatrix[ad3][ad4])
for (int ad5 = 0; ad5 < nodeCounts; ad5++)
if (adMatrix[ad4][ad5] && isButterflyIndex(ad5)){
//printf("%d %d %d %d %d\n", startNode, ad1, ad2, ad3, ad4);
linkGravity[startNode][ad1] += weight;
linkGravity[ad1][ad2] += weight;
linkGravity[ad2][ad3] += weight;
linkGravity[ad3][ad4] += weight;
linkGravity[ad4][ad5] += weight;
}
} // Add gravity for 5-lengths.
void add6lengthRoutes(int startNode, int weight){
for (int ad1 = 0; ad1 < nodeCounts; ad1++)
if (adMatrix[startNode][ad1])
for (int ad2 = 0; ad2 < nodeCounts; ad2++)
if (adMatrix[ad1][ad2])
for (int ad3 = 0; ad3 < nodeCounts; ad3++)
if (adMatrix[ad2][ad3])
for (int ad4 = 0; ad4 < nodeCounts; ad4++)
if (adMatrix[ad3][ad4])
for (int ad5 = 0; ad5 < nodeCounts; ad5++)
if (adMatrix[ad4][ad5])
for (int ad6 = 0; ad6 < nodeCounts; ad6++)
if (adMatrix[ad5][ad6] && isButterflyIndex(ad6)){
//printf("%d %d %d %d %d\n", startNode, ad1, ad2, ad3, ad4);
linkGravity[startNode][ad1] += weight;
linkGravity[ad1][ad2] += weight;
linkGravity[ad2][ad3] += weight;
linkGravity[ad3][ad4] += weight;
linkGravity[ad4][ad5] += weight;
linkGravity[ad5][ad6] += weight;
}
} // Add gravity for 6-lengths.
void add7lengthRoutes(int startNode, int weight){
for (int ad1 = 0; ad1 < nodeCounts; ad1++)
if (adMatrix[startNode][ad1])
for (int ad2 = 0; ad2 < nodeCounts; ad2++)
if (adMatrix[ad1][ad2])
for (int ad3 = 0; ad3 < nodeCounts; ad3++)
if (adMatrix[ad2][ad3])
for (int ad4 = 0; ad4 < nodeCounts; ad4++)
if (adMatrix[ad3][ad4])
for (int ad5 = 0; ad5 < nodeCounts; ad5++)
if (adMatrix[ad4][ad5])
for (int ad6 = 0; ad6 < nodeCounts; ad6++)
if (adMatrix[ad5][ad6])
for (int ad7 = 0; ad7 < nodeCounts; ad7++)
if (adMatrix[ad6][ad7]&& isButterflyIndex(ad7)){
//printf("%d %d %d %d %d\n", startNode, ad1, ad2, ad3, ad4);
linkGravity[startNode][ad1] += weight;
linkGravity[ad1][ad2] += weight;
linkGravity[ad2][ad3] += weight;
linkGravity[ad3][ad4] += weight;
linkGravity[ad4][ad5] += weight;
linkGravity[ad5][ad6] += weight;
linkGravity[ad6][ad7] += weight;
}
} // Add gravity for 7-lengths.
void add8lengthRoutes(int startNode, int weight){
for (int ad1 = 0; ad1 < nodeCounts; ad1++)
if (adMatrix[startNode][ad1])
for (int ad2 = 0; ad2 < nodeCounts; ad2++)
if (adMatrix[ad1][ad2])
for (int ad3 = 0; ad3 < nodeCounts; ad3++)
if (adMatrix[ad2][ad3])
for (int ad4 = 0; ad4 < nodeCounts; ad4++)
if (adMatrix[ad3][ad4])
for (int ad5 = 0; ad5 < nodeCounts; ad5++)
if (adMatrix[ad4][ad5])
for (int ad6 = 0; ad6 < nodeCounts; ad6++)
if (adMatrix[ad5][ad6])
for (int ad7 = 0; ad7 < nodeCounts; ad7++)
if (adMatrix[ad6][ad7])
for (int ad8 = 0; ad8 < nodeCounts; ad8++)
if (adMatrix[ad7][ad8] && isButterflyIndex(ad8)) {
//printf("%d %d %d %d %d\n", startNode, ad1, ad2, ad3, ad4);
linkGravity[startNode][ad1] += weight;
linkGravity[ad1][ad2] += weight;
linkGravity[ad2][ad3] += weight;
linkGravity[ad3][ad4] += weight;
linkGravity[ad4][ad5] += weight;
linkGravity[ad5][ad6] += weight;
linkGravity[ad6][ad7] += weight;
linkGravity[ad7][ad8] += weight;
}
} // Add gravity for 8-lengths.
void add9lengthRoutes(int startNode, int weight){
for (int ad1 = 0; ad1 < nodeCounts; ad1++)
if (adMatrix[startNode][ad1])
for (int ad2 = 0; ad2 < nodeCounts; ad2++)
if (adMatrix[ad1][ad2])
for (int ad3 = 0; ad3 < nodeCounts; ad3++)
if (adMatrix[ad2][ad3])
for (int ad4 = 0; ad4 < nodeCounts; ad4++)
if (adMatrix[ad3][ad4])
for (int ad5 = 0; ad5 < nodeCounts; ad5++)
if (adMatrix[ad4][ad5])
for (int ad6 = 0; ad6 < nodeCounts; ad6++)
if (adMatrix[ad5][ad6])
for (int ad7 = 0; ad7 < nodeCounts; ad7++)
if (adMatrix[ad6][ad7])
for (int ad8 = 0; ad8 < nodeCounts; ad8++)
if (adMatrix[ad7][ad8])
for (int ad9 = 0; ad9 < nodeCounts; ad9++)
if (adMatrix[ad8][ad9] && isButterflyIndex(ad9)){
//printf("%d %d %d %d %d\n", startNode, ad1, ad2, ad3, ad4);
linkGravity[startNode][ad1] += weight;
linkGravity[ad1][ad2] += weight;
linkGravity[ad2][ad3] += weight;
linkGravity[ad3][ad4] += weight;
linkGravity[ad4][ad5] += weight;
linkGravity[ad5][ad6] += weight;
linkGravity[ad6][ad7] += weight;
linkGravity[ad7][ad8] += weight;
linkGravity[ad8][ad9] += weight;
}
} // Add gravity for 9-lengths.
void add10lengthRoutes(int startNode, int weight){
for (int ad1 = 0; ad1 < nodeCounts; ad1++)
if (adMatrix[startNode][ad1])
for (int ad2 = 0; ad2 < nodeCounts; ad2++)
if (adMatrix[ad1][ad2])
for (int ad3 = 0; ad3 < nodeCounts; ad3++)
if (adMatrix[ad2][ad3])
for (int ad4 = 0; ad4 < nodeCounts; ad4++)
if (adMatrix[ad3][ad4])
for (int ad5 = 0; ad5 < nodeCounts; ad5++)
if (adMatrix[ad4][ad5])
for (int ad6 = 0; ad6 < nodeCounts; ad6++)
if (adMatrix[ad5][ad6])
for (int ad7 = 0; ad7 < nodeCounts; ad7++)
if (adMatrix[ad6][ad7])
for (int ad8 = 0; ad8 < nodeCounts; ad8++)
if (adMatrix[ad7][ad8])
for (int ad9 = 0; ad9 < nodeCounts; ad9++)
if (adMatrix[ad8][ad9])
for (int ad10 = 0; ad10 < nodeCounts; ad10++)
if (adMatrix[ad9][ad10] && isButterflyIndex(ad10)){
//printf("%d %d %d %d %d\n", startNode, ad1, ad2, ad3, ad4);
linkGravity[startNode][ad1] += weight;
linkGravity[ad1][ad2] += weight;
linkGravity[ad2][ad3] += weight;
linkGravity[ad3][ad4] += weight;
linkGravity[ad4][ad5] += weight;
linkGravity[ad5][ad6] += weight;
linkGravity[ad6][ad7] += weight;
linkGravity[ad7][ad8] += weight;
linkGravity[ad8][ad9] += weight;
linkGravity[ad9][ad10] += weight;
}
} // Add gravity for 10-lengths.
void add11lengthRoutes(int startNode, int weight){
for (int ad1 = 0; ad1 < nodeCounts; ad1++)
if (adMatrix[startNode][ad1])
for (int ad2 = 0; ad2 < nodeCounts; ad2++)
if (adMatrix[ad1][ad2])
for (int ad3 = 0; ad3 < nodeCounts; ad3++)
if (adMatrix[ad2][ad3])
for (int ad4 = 0; ad4 < nodeCounts; ad4++)
if (adMatrix[ad3][ad4])
for (int ad5 = 0; ad5 < nodeCounts; ad5++)
if (adMatrix[ad4][ad5])
for (int ad6 = 0; ad6 < nodeCounts; ad6++)
if (adMatrix[ad5][ad6])
for (int ad7 = 0; ad7 < nodeCounts; ad7++)
if (adMatrix[ad6][ad7])
for (int ad8 = 0; ad8 < nodeCounts; ad8++)
if (adMatrix[ad7][ad8])
for (int ad9 = 0; ad9 < nodeCounts; ad9++)
if (adMatrix[ad8][ad9])
for (int ad10 = 0; ad10 < nodeCounts; ad10++)
if (adMatrix[ad9][ad10])
for (int ad11 = 0; ad11 < nodeCounts; ad11++)
if (adMatrix[ad10][ad11] && isButterflyIndex(ad11)){
//printf("%d %d %d %d %d\n", startNode, ad1, ad2, ad3, ad4);
linkGravity[startNode][ad1] += weight;
linkGravity[ad1][ad2] += weight;
linkGravity[ad2][ad3] += weight;
linkGravity[ad3][ad4] += weight;
linkGravity[ad4][ad5] += weight;
linkGravity[ad5][ad6] += weight;
linkGravity[ad6][ad7] += weight;
linkGravity[ad7][ad8] += weight;
linkGravity[ad8][ad9] += weight;
linkGravity[ad9][ad10] += weight;
linkGravity[ad10][ad11] += weight;
}
} // Add gravity for 11-lengths.
void add12lengthRoutes(int startNode, int weight){
for (int ad1 = 0; ad1 < nodeCounts; ad1++)
if (adMatrix[startNode][ad1])
for (int ad2 = 0; ad2 < nodeCounts; ad2++)
if (adMatrix[ad1][ad2])
for (int ad3 = 0; ad3 < nodeCounts; ad3++)
if (adMatrix[ad2][ad3])
for (int ad4 = 0; ad4 < nodeCounts; ad4++)
if (adMatrix[ad3][ad4])
for (int ad5 = 0; ad5 < nodeCounts; ad5++)
if (adMatrix[ad4][ad5])
for (int ad6 = 0; ad6 < nodeCounts; ad6++)
if (adMatrix[ad5][ad6])
for (int ad7 = 0; ad7 < nodeCounts; ad7++)
if (adMatrix[ad6][ad7])
for (int ad8 = 0; ad8 < nodeCounts; ad8++)
if (adMatrix[ad7][ad8])
for (int ad9 = 0; ad9 < nodeCounts; ad9++)
if (adMatrix[ad8][ad9])
for (int ad10 = 0; ad10 < nodeCounts; ad10++)
if (adMatrix[ad9][ad10])
for (int ad11 = 0; ad11 < nodeCounts; ad11++)
if (adMatrix[ad10][ad11])
for (int ad12 = 0; ad12 < nodeCounts; ad12++)
if (adMatrix[ad11][ad12] && isButterflyIndex(ad12)){
//printf("%d %d %d %d %d\n", startNode, ad1, ad2, ad3, ad4);
linkGravity[startNode][ad1] += weight;
linkGravity[ad1][ad2] += weight;
linkGravity[ad2][ad3] += weight;
linkGravity[ad3][ad4] += weight;
linkGravity[ad4][ad5] += weight;
linkGravity[ad5][ad6] += weight;
linkGravity[ad6][ad7] += weight;
linkGravity[ad7][ad8] += weight;
linkGravity[ad8][ad9] += weight;
linkGravity[ad9][ad10] += weight;
linkGravity[ad10][ad11] += weight;
linkGravity[ad11][ad12] += weight;
}
} // Add gravity for 12-lengths.
void add13lengthRoutes(int startNode, int weight){
for (int ad1 = 0; ad1 < nodeCounts; ad1++)
if (adMatrix[startNode][ad1])
for (int ad2 = 0; ad2 < nodeCounts; ad2++)
if (adMatrix[ad1][ad2])
for (int ad3 = 0; ad3 < nodeCounts; ad3++)
if (adMatrix[ad2][ad3])
for (int ad4 = 0; ad4 < nodeCounts; ad4++)
if (adMatrix[ad3][ad4])
for (int ad5 = 0; ad5 < nodeCounts; ad5++)
if (adMatrix[ad4][ad5])
for (int ad6 = 0; ad6 < nodeCounts; ad6++)
if (adMatrix[ad5][ad6])
for (int ad7 = 0; ad7 < nodeCounts; ad7++)
if (adMatrix[ad6][ad7])
for (int ad8 = 0; ad8 < nodeCounts; ad8++)
if (adMatrix[ad7][ad8])
for (int ad9 = 0; ad9 < nodeCounts; ad9++)
if (adMatrix[ad8][ad9])
for (int ad10 = 0; ad10 < nodeCounts; ad10++)
if (adMatrix[ad9][ad10])
for (int ad11 = 0; ad11 < nodeCounts; ad11++)
if (adMatrix[ad10][ad11])
for (int ad12 = 0; ad12 < nodeCounts; ad12++)
if (adMatrix[ad11][ad12])
for (int ad13 = 0; ad13 < nodeCounts; ad13++)
if (adMatrix[ad12][ad13] && isButterflyIndex(ad13)){
//printf("%d %d %d %d %d\n", startNode, ad1, ad2, ad3, ad4);
linkGravity[startNode][ad1] += weight;
linkGravity[ad1][ad2] += weight;
linkGravity[ad2][ad3] += weight;
linkGravity[ad3][ad4] += weight;
linkGravity[ad4][ad5] += weight;
linkGravity[ad5][ad6] += weight;
linkGravity[ad6][ad7] += weight;
linkGravity[ad7][ad8] += weight;
linkGravity[ad8][ad9] += weight;
linkGravity[ad9][ad10] += weight;
linkGravity[ad10][ad11] += weight;
linkGravity[ad11][ad12] += weight;
linkGravity[ad12][ad13] += weight;
}
} // Add gravity for 13-lengths.
void add14lengthRoutes(int startNode, int weight){
for (int ad1 = 0; ad1 < nodeCounts; ad1++)
if (adMatrix[startNode][ad1])
for (int ad2 = 0; ad2 < nodeCounts; ad2++)
if (adMatrix[ad1][ad2])
for (int ad3 = 0; ad3 < nodeCounts; ad3++)
if (adMatrix[ad2][ad3])
for (int ad4 = 0; ad4 < nodeCounts; ad4++)
if (adMatrix[ad3][ad4])
for (int ad5 = 0; ad5 < nodeCounts; ad5++)
if (adMatrix[ad4][ad5])
for (int ad6 = 0; ad6 < nodeCounts; ad6++)
if (adMatrix[ad5][ad6])
for (int ad7 = 0; ad7 < nodeCounts; ad7++)
if (adMatrix[ad6][ad7])
for (int ad8 = 0; ad8 < nodeCounts; ad8++)
if (adMatrix[ad7][ad8])
for (int ad9 = 0; ad9 < nodeCounts; ad9++)
if (adMatrix[ad8][ad9])
for (int ad10 = 0; ad10 < nodeCounts; ad10++)
if (adMatrix[ad9][ad10])
for (int ad11 = 0; ad11 < nodeCounts; ad11++)
if (adMatrix[ad10][ad11])
for (int ad12 = 0; ad12 < nodeCounts; ad12++)
if (adMatrix[ad11][ad12])
for (int ad13 = 0; ad13 < nodeCounts; ad13++)
if (adMatrix[ad12][ad13])
for (int ad14 = 0; ad14 < nodeCounts; ad14++)
if (adMatrix[ad13][ad14] && isButterflyIndex(ad14)){
//printf("%d %d %d %d %d\n", startNode, ad1, ad2, ad3, ad4);
linkGravity[startNode][ad1] += weight;
linkGravity[ad1][ad2] += weight;
linkGravity[ad2][ad3] += weight;
linkGravity[ad3][ad4] += weight;
linkGravity[ad4][ad5] += weight;
linkGravity[ad5][ad6] += weight;
linkGravity[ad6][ad7] += weight;
linkGravity[ad7][ad8] += weight;
linkGravity[ad8][ad9] += weight;
linkGravity[ad9][ad10] += weight;
linkGravity[ad10][ad11] += weight;
linkGravity[ad11][ad12] += weight;
linkGravity[ad12][ad13] += weight;
linkGravity[ad13][ad14] += weight;
}
} // Add gravity for 14-lengths.
void proc3stepGravity(int startNode, int minLength){
if (minLength == 2){
resetGravityMatrix();
add2lengthRoutes(startNode, PrimaryWeight);
add3lengthRoutes(startNode, SecondaryWeight);
//add4lengthRoutes(startNode, TertiaryWeight);
makeGravitySymmetric();
}
if (minLength == 3){
resetGravityMatrix();
add3lengthRoutes(startNode, PrimaryWeight);
add4lengthRoutes(startNode, SecondaryWeight);
add5lengthRoutes(startNode, TertiaryWeight);
makeGravitySymmetric();
}
if (minLength == 4){
resetGravityMatrix();
add4lengthRoutes(startNode, PrimaryWeight);
add5lengthRoutes(startNode, SecondaryWeight);
add6lengthRoutes(startNode, TertiaryWeight);
makeGravitySymmetric();
}
if (minLength == 5){
resetGravityMatrix();
add5lengthRoutes(startNode, PrimaryWeight);
add6lengthRoutes(startNode, SecondaryWeight);
add7lengthRoutes(startNode, TertiaryWeight);
makeGravitySymmetric();
}
if (minLength == 6){
resetGravityMatrix();
add6lengthRoutes(startNode, PrimaryWeight);
add7lengthRoutes(startNode, SecondaryWeight);
add8lengthRoutes(startNode, TertiaryWeight);
makeGravitySymmetric();
}
if (minLength == 7){
resetGravityMatrix();
add7lengthRoutes(startNode, PrimaryWeight);
add8lengthRoutes(startNode, SecondaryWeight);
add9lengthRoutes(startNode, TertiaryWeight);
makeGravitySymmetric();
}
if (minLength == 8){
resetGravityMatrix();
add8lengthRoutes(startNode, PrimaryWeight);
add9lengthRoutes(startNode, SecondaryWeight);
add10lengthRoutes(startNode, TertiaryWeight);
makeGravitySymmetric();
}
if (minLength == 9){
resetGravityMatrix();
add9lengthRoutes(startNode, PrimaryWeight);
add10lengthRoutes(startNode, SecondaryWeight);
add11lengthRoutes(startNode, TertiaryWeight);
makeGravitySymmetric();
}
if (minLength == 10){
resetGravityMatrix();
add10lengthRoutes(startNode, PrimaryWeight);
add11lengthRoutes(startNode, SecondaryWeight);
add12lengthRoutes(startNode, TertiaryWeight);
makeGravitySymmetric();
}
if (minLength == 11){
resetGravityMatrix();
add11lengthRoutes(startNode, PrimaryWeight);
add12lengthRoutes(startNode, SecondaryWeight);
add13lengthRoutes(startNode, TertiaryWeight);
makeGravitySymmetric();
}
if (minLength == 12){
resetGravityMatrix();
add12lengthRoutes(startNode, PrimaryWeight);
add13lengthRoutes(startNode, SecondaryWeight);
add14lengthRoutes(startNode, TertiaryWeight);
makeGravitySymmetric();
}
} // A function to automate 3-step processing.