|
@ -17,10 +17,20 @@ int pagerank(double ***transitionMatrix, double **pagerankVector, Parameters par |
|
|
double delta, |
|
|
double delta, |
|
|
*vectorDifference = (double *) malloc(parameters.numberOfPages * sizeof(double)), |
|
|
*vectorDifference = (double *) malloc(parameters.numberOfPages * sizeof(double)), |
|
|
*previousPagerankVector = (double *) malloc(parameters.numberOfPages * sizeof(double)), |
|
|
*previousPagerankVector = (double *) malloc(parameters.numberOfPages * sizeof(double)), |
|
|
*convergedPagerankVector = (double *) malloc(parameters.numberOfPages * sizeof(double)); |
|
|
*convergedPagerankVector = (double *) malloc(parameters.numberOfPages * sizeof(double)), |
|
|
|
|
|
**linksFromConvergedPages = (double **) malloc(parameters.numberOfPages * sizeof(double *)), |
|
|
|
|
|
*linksFromConvergedPagesPagerankVector = (double *) malloc(parameters.numberOfPages * sizeof(double)); |
|
|
|
|
|
bool *converganceMatrix = (bool *) malloc(parameters.numberOfPages * sizeof(bool)); |
|
|
|
|
|
|
|
|
for (int i=0; i<parameters.numberOfPages; ++i) { |
|
|
for (int i=0; i<parameters.numberOfPages; ++i) { |
|
|
convergedPagerankVector[i] = 0; |
|
|
convergedPagerankVector[i] = 0; |
|
|
|
|
|
converganceMatrix[i] = false; |
|
|
|
|
|
linksFromConvergedPagesPagerankVector[i] = 0; |
|
|
|
|
|
|
|
|
|
|
|
linksFromConvergedPages[i] = (double *) malloc(parameters.numberOfPages * sizeof(double)); |
|
|
|
|
|
for (int j=0; j<parameters.numberOfPages; ++j) { |
|
|
|
|
|
linksFromConvergedPages[i][j] = 0; |
|
|
|
|
|
} |
|
|
} |
|
|
} |
|
|
|
|
|
|
|
|
if (parameters.verbose) { |
|
|
if (parameters.verbose) { |
|
@ -30,7 +40,8 @@ int pagerank(double ***transitionMatrix, double **pagerankVector, Parameters par |
|
|
do { |
|
|
do { |
|
|
memcpy(previousPagerankVector, *pagerankVector, parameters.numberOfPages * sizeof(double)); |
|
|
memcpy(previousPagerankVector, *pagerankVector, parameters.numberOfPages * sizeof(double)); |
|
|
|
|
|
|
|
|
matrixVectorMultiplication(transitionMatrix, previousPagerankVector, convergedPagerankVector, |
|
|
matrixVectorMultiplication(*transitionMatrix, previousPagerankVector, |
|
|
|
|
|
linksFromConvergedPagesPagerankVector, convergedPagerankVector, |
|
|
pagerankVector, parameters.numberOfPages, parameters.dampingFactor); |
|
|
pagerankVector, parameters.numberOfPages, parameters.dampingFactor); |
|
|
|
|
|
|
|
|
if (parameters.history) { |
|
|
if (parameters.history) { |
|
@ -43,14 +54,32 @@ int pagerank(double ***transitionMatrix, double **pagerankVector, Parameters par |
|
|
} |
|
|
} |
|
|
delta = vectorNorm(vectorDifference, parameters.numberOfPages); |
|
|
delta = vectorNorm(vectorDifference, parameters.numberOfPages); |
|
|
|
|
|
|
|
|
if (!iterations % 5) { |
|
|
if (!iterations % 10) { |
|
|
for (int i=0; i<parameters.numberOfPages; ++i) { |
|
|
for (int i=0; i<parameters.numberOfPages; ++i) { |
|
|
double temp = fabs((*pagerankVector)[i] - previousPagerankVector[i]) / fabs(previousPagerankVector[i]); |
|
|
double temp = fabs((*pagerankVector)[i] - previousPagerankVector[i]) / fabs(previousPagerankVector[i]); |
|
|
if (temp < parameters.convergenceCriterion){ |
|
|
if (temp < parameters.convergenceCriterion){ |
|
|
|
|
|
converganceMatrix[i] = true; |
|
|
convergedPagerankVector[i] = (*pagerankVector)[i]; |
|
|
convergedPagerankVector[i] = (*pagerankVector)[i]; |
|
|
|
|
|
} |
|
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
|
|
for (int i=0; i<parameters.numberOfPages; ++i) { |
|
|
|
|
|
if (converganceMatrix[i] == true) { |
|
|
for (int j=0; j<parameters.numberOfPages; ++j){ |
|
|
for (int j=0; j<parameters.numberOfPages; ++j){ |
|
|
|
|
|
if (converganceMatrix[j] == false){ |
|
|
|
|
|
linksFromConvergedPages[i][j] = (*transitionMatrix)[i][j]; |
|
|
|
|
|
} |
|
|
|
|
|
// Zeros out CN and CC sub-matrices
|
|
|
(*transitionMatrix)[i][j] = 0; |
|
|
(*transitionMatrix)[i][j] = 0; |
|
|
|
|
|
// Zeros out NC sub-matrix
|
|
|
|
|
|
(*transitionMatrix)[j][i] = 0; |
|
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
|
|
double sum = 0; |
|
|
|
|
|
for (int j=0; j<parameters.numberOfPages; ++j) { |
|
|
|
|
|
sum += linksFromConvergedPages[i][j] * (*pagerankVector)[j]; |
|
|
} |
|
|
} |
|
|
|
|
|
linksFromConvergedPagesPagerankVector[i] = sum; |
|
|
} |
|
|
} |
|
|
} |
|
|
} |
|
|
} |
|
|
} |
|
@ -157,25 +186,26 @@ void generateNormalizedTransitionMatrix(double ***transitionMatrix, |
|
|
* matrixVectorMultiplication calculates the product of the multiplication |
|
|
* matrixVectorMultiplication calculates the product of the multiplication |
|
|
* between a matrix and the a vector in a cheap way. |
|
|
* between a matrix and the a vector in a cheap way. |
|
|
*/ |
|
|
*/ |
|
|
void matrixVectorMultiplication(double ***matrix, double *vector, |
|
|
void matrixVectorMultiplication(double **transitionMatrix, double *previousPagerankVector, |
|
|
double *convergedPagerankVector, double **product, int vectorSize, |
|
|
double *linksFromConvergedPagesPagerankVector, double *convergedPagerankVector, |
|
|
double dampingFactor) { |
|
|
double **pagerankVector, int vectorSize, double dampingFactor) { |
|
|
double webUniformProbability = 1. / vectorSize; |
|
|
double webUniformProbability = 1. / vectorSize; |
|
|
|
|
|
|
|
|
for (int i=0; i<vectorSize; ++i) { |
|
|
for (int i=0; i<vectorSize; ++i) { |
|
|
double sum = 0; |
|
|
double sum = 0; |
|
|
|
|
|
|
|
|
for (int j=0; j<vectorSize; ++j) { |
|
|
for (int j=0; j<vectorSize; ++j) { |
|
|
sum += (*matrix)[i][j] * vector[j]; |
|
|
sum += transitionMatrix[i][j] * previousPagerankVector[j]; |
|
|
} |
|
|
} |
|
|
(*product)[i] = dampingFactor * sum + convergedPagerankVector[i]; |
|
|
(*pagerankVector)[i] = dampingFactor * sum; |
|
|
} |
|
|
} |
|
|
|
|
|
|
|
|
double normDifference = vectorNorm(vector, vectorSize) - |
|
|
double normDifference = vectorNorm(previousPagerankVector, vectorSize) - |
|
|
vectorNorm((*product), vectorSize); |
|
|
vectorNorm(*pagerankVector, vectorSize); |
|
|
|
|
|
|
|
|
for (int i=0; i<vectorSize; ++i) { |
|
|
for (int i=0; i<vectorSize; ++i) { |
|
|
(*product)[i] += normDifference * webUniformProbability; |
|
|
(*pagerankVector)[i] += normDifference * webUniformProbability + |
|
|
|
|
|
linksFromConvergedPagesPagerankVector[i] + convergedPagerankVector[i]; |
|
|
} |
|
|
} |
|
|
} |
|
|
} |
|
|
|
|
|
|
|
|