int main() {
TreeTemplate<Node>* tree = TreeTemplateTools::parenthesisToTree("((A:0.001, B:0.002):0.003,C:0.01,D:0.1);");
cout << tree->getNumberOfLeaves() << endl;
vector<int> ids = tree->getNodesId();
//-------------
NucleicAlphabet* alphabet = new DNA();
SubstitutionModel* model = new GTR(alphabet, 1, 0.2, 0.3, 0.4, 0.4, 0.1, 0.35, 0.35, 0.2);
//DiscreteDistribution* rdist = new GammaDiscreteDistribution(4, 0.4, 0.4);
DiscreteDistribution* rdist = new ConstantDistribution(1.0);
HomogeneousSequenceSimulator simulator(model, rdist, tree);
unsigned int n = 100000;
map<int, RowMatrix<unsigned int> > counts;
for (size_t j = 0; j < ids.size() - 1; ++j) //ignore root, the last id
counts[ids[j]].resize(4, 4);
for (unsigned int i = 0; i < n; ++i) {
RASiteSimulationResult* result = simulator.dSimulate();
for (size_t j = 0; j < ids.size() - 1; ++j) { //ignore root, the last id
result->getMutationPath(ids[j]).getEventCounts(counts[ids[j]]);
}
delete result;
}
map<int, RowMatrix<double> >freqs;
map<int, double> sums;
for (size_t k = 0; k < ids.size() - 1; ++k) { //ignore root, the last id
RowMatrix<double>* freqsP = &freqs[ids[k]];
RowMatrix<unsigned int>* countsP = &counts[ids[k]];
freqsP->resize(4, 4);
for (unsigned int i = 0; i < 4; ++i)
for (unsigned int j = 0; j < 4; ++j)
(*freqsP)(i, j) = static_cast<double>((*countsP)(i, j)) / (static_cast<double>(n));
//For now we simply compare the total number of substitutions:
sums[ids[k]] = MatrixTools::sumElements(*freqsP);
cout << "Br" << ids[k] << " BrLen = " << tree->getDistanceToFather(ids[k]) << " counts = " << sums[ids[k]] << endl;
MatrixTools::print(*freqsP);
}
//We should compare this matrix with the expected one!
for (size_t k = 0; k < ids.size() - 1; ++k) { //ignore root, the last id
if (abs(sums[ids[k]] - tree->getDistanceToFather(ids[k])) > 0.01) {
delete tree;
delete alphabet;
delete model;
delete rdist;
return 1;
}
}
//-------------
delete tree;
delete alphabet;
delete model;
delete rdist;
//return (abs(obs - 0.001) < 0.001 ? 0 : 1);
return 0;
}
RowMatrix<T> operator~(const RowMatrix<T> &r)
{
RowMatrix<T> m{ r.cols(), r.rows() };
for (size_t i = 0; i < r.rows(); ++i) {
for (size_t j = 0; j < r.cols(); ++j) {
m[j][i] = r[i][j];
}
}
m.compress();
return m;
}
vector<vector<double>> Alignment::get_q_matrix() {
if(!model) throw Exception("No model has been set.");
RowMatrix<double> gen = model->getGenerator();
size_t nrow = gen.getNumberOfRows();
size_t ncol = gen.getNumberOfColumns();
auto q = vector<vector<double>>(nrow, vector<double>(ncol, 0));
for (size_t i = 0; i < nrow; ++i) {
for (size_t j = 0; j < ncol; ++j) {
q[i][j] = gen(i, j);
}
}
return q;
}
vector<vector<double>> Alignment::get_p_matrix(double time) {
if(!model) throw Exception("No model has been set.");
RowMatrix<double> pijt = model->getPij_t(time);
size_t nrow = pijt.getNumberOfRows();
size_t ncol = pijt.getNumberOfColumns();
auto p = vector<vector<double>>(nrow, vector<double>(ncol, 0));
for (size_t i = 0; i < nrow; ++i) {
for (size_t j = 0; j < ncol; ++j) {
p[i][j] = pijt(i, j);
}
}
return p;
}
vector<vector<double>> Alignment::get_exchangeabilities() {
if(!model) throw Exception("No model has been set.");
RowMatrix<double> exch = model->getExchangeabilityMatrix();
size_t nrow = exch.getNumberOfRows();
size_t ncol = exch.getNumberOfColumns();
auto s = vector<vector<double>>(nrow, vector<double>(ncol, 0));
for (size_t i = 0; i < nrow; ++i) {
vector<double> row;
for (size_t j = 0; j < ncol; ++j) {
s[i][j] = exch(i, j);
}
}
return s;
}
GLboolean CyclicCurve3::BlendingFunctionValues(GLdouble u,RowMatrix<GLdouble>& values) const
{
values.ResizeColumns(2 * _n + 1);
for(GLuint i = 0; i < 2 * _n + 1; ++i)
{
values[i] = _c_n * pow(1.0 + cos(u - i * _lambda_n),(GLint)_n);
}
return GL_TRUE;
}
GLboolean HermitePatch::VBlendingFunctionValues(GLdouble v_knot, RowMatrix<GLdouble> &blending_values) const
{
if (v_knot<0.0 || v_knot>1.0)
return GL_FALSE;
blending_values.ResizeColumns(4);
GLdouble v=v_knot, v2=v*v, v3=v2*v;
blending_values(0) = 2*v3 - 3*v2 + 1;
blending_values(1) = -2*v3 + 3*v2;
blending_values(2) = v3 - 2*v2 + v;
blending_values(3) = v3 - v2;
return GL_TRUE;
}
GLboolean HermitePatch::UBlendingFunctionValues(GLdouble u_knot, RowMatrix<GLdouble> &blending_values) const
{
if (u_knot<0.0 || u_knot>1.0)
return GL_FALSE;
blending_values.ResizeColumns(4);
GLdouble u=u_knot, u2=u*u, u3=u2*u;
blending_values(0) = 2*u3 - 3*u2 + 1;
blending_values(1) = -2*u3 + 3*u2;
blending_values(2) = u3 - 2*u2 + u;
blending_values(3) = u3 - u2;
return GL_TRUE;
}
RowMatrix<T> operator*(const RowMatrix<T> &lhs, const RowMatrix<T> &rhs)
{
RowMatrix<T> m{ lhs.rows(), rhs.cols() };
for (size_t i = 0; i < lhs.rows(); ++i) {
for (size_t j = 0; j < rhs.cols(); ++j) {
T accum = 0;
for (size_t k = lhs.row_left(i); k < lhs.row_right(i); ++k) {
accum += lhs[i][k] * rhs[k][j];
}
m[i][j] = accum;
}
}
m.compress();
return m;
}
void DualityDiagram::compute_(const Matrix<double>& matrix,
double tol, bool verbose)
{
size_t rowNb = matrix.getNumberOfRows();
size_t colNb = matrix.getNumberOfColumns();
// If there are less rows than columns, the variance-covariance or correlation matrix is obtain differently (see below)
bool transpose = (rowNb < colNb);
// The initial matrix is multiplied by the square root of the row weigths.
vector<double> rW(rowWeights_);
for (unsigned int i = 0; i < rowWeights_.size(); i++)
{
rW[i] = sqrt(rowWeights_[i]);
}
RowMatrix<double> M1(rowNb, colNb);
MatrixTools::hadamardMult(matrix, rW, M1, true);
// The resulting matrix is then multiplied by the square root of the column weigths.
vector<double> cW(colWeights_);
for (unsigned int i = 0; i < colWeights_.size(); i++)
{
cW[i] = sqrt(colWeights_[i]);
}
RowMatrix<double> M2;
MatrixTools::hadamardMult(M1, cW, M2, false);
// The variance-covariance (if the data is centered) or the correlation (if the data is centered and normalized) matrix is calculated
RowMatrix<double> tM2;
MatrixTools::transpose(M2, tM2);
RowMatrix<double> M3;
if (!transpose)
MatrixTools::mult(tM2, M2, M3);
else
MatrixTools::mult(M2, tM2, M3);
EigenValue<double> eigen(M3);
if (!eigen.isSymmetric())
throw Exception("DualityDiagram (constructor). The variance-covariance or correlation matrix should be symmetric...");
eigenValues_ = eigen.getRealEigenValues();
eigenVectors_ = eigen.getV();
// How many significant axes have to be conserved?
size_t rank = 0;
for (size_t i = eigenValues_.size(); i > 0; i--)
{
if ((eigenValues_[i - 1] / eigenValues_[eigenValues_.size() - 1]) > tol)
rank++;
}
if (nbAxes_ <=0)
{
throw Exception("DualityDiagram (constructor). The number of axes to keep must be positive.");
}
if (nbAxes_ > rank)
{
if (verbose)
ApplicationTools::displayWarning("The number of axes to kept has been reduced to conserve only significant axes");
nbAxes_ = rank;
}
/*The eigen values are initially sorted into ascending order by the 'eigen' function. Here the significant values are sorted
in the other way around.*/
vector<double> tmpEigenValues(nbAxes_);
size_t cpt = 0;
for (size_t i = eigenValues_.size(); i > (eigenValues_.size() - nbAxes_); i--)
{
tmpEigenValues[cpt] = eigenValues_[i-1];
cpt++;
}
eigenValues_ = tmpEigenValues;
for (vector<double>::iterator it = rowWeights_.begin(); it != rowWeights_.end(); it++)
{
if (*it == 0.)
*it = 1.;
}
for (vector<double>::iterator it = colWeights_.begin(); it != colWeights_.end(); it++)
{
if (*it == 0.)
*it = 1.;
}
vector<double> dval(nbAxes_);
for (size_t i = 0; i < dval.size(); i++)
{
dval[i] = sqrt(eigenValues_[i]);
}
vector<double> invDval(nbAxes_);
for (size_t i = 0; i < invDval.size(); i++)
{
invDval[i] = 1. / sqrt(eigenValues_[i]);
}
// Calculation of the row and column coordinates as well as the principal axes and components:
if (!transpose)
{
vector<double> tmpColWeights(colNb);
for (unsigned int i = 0; i < colWeights_.size(); i++)
{
tmpColWeights[i] = 1. / sqrt(colWeights_[i]);
}
// The eigen vectors are placed in the same order as their corresponding eigen value in eigenValues_.
RowMatrix<double> tmpEigenVectors;
tmpEigenVectors.resize(eigenVectors_.getNumberOfRows(), nbAxes_);
size_t cpt2 = 0;
for (size_t i = eigenVectors_.getNumberOfColumns(); i > (eigenVectors_.getNumberOfColumns() - nbAxes_); i--)
{
for (unsigned int j = 0; j < eigenVectors_.getNumberOfRows(); j++)
{
tmpEigenVectors(j, cpt2) = eigenVectors_(j, i-1);
}
cpt2++;
}
// matrix of principal axes
MatrixTools::hadamardMult(tmpEigenVectors, tmpColWeights, ppalAxes_, true);
// matrix of row coordinates
RowMatrix<double> tmpRowCoord_;
tmpRowCoord_.resize(rowNb, nbAxes_);
MatrixTools::hadamardMult(matrix, colWeights_, tmpRowCoord_, false);
MatrixTools::mult(tmpRowCoord_, ppalAxes_, rowCoord_);
// matrix of column coordinates
MatrixTools::hadamardMult(ppalAxes_, dval, colCoord_, false);
// matrix of principal components
MatrixTools::hadamardMult(rowCoord_, invDval, ppalComponents_, false);
}
else
{
vector<double> tmpRowWeights(rowNb);
for (unsigned int i = 0; i < rowWeights_.size(); i++)
{
tmpRowWeights[i] = 1. / sqrt(rowWeights_[i]);
}
// The eigen vectors are placed in the same order as their corresponding eigen value in eigenValues_.
RowMatrix<double> tmpEigenVectors;
tmpEigenVectors.resize(eigenVectors_.getNumberOfRows(), nbAxes_);
size_t cpt2 = 0;
for (size_t i = eigenVectors_.getNumberOfColumns(); i > (eigenVectors_.getNumberOfColumns() - nbAxes_); i--)
{
for (size_t j = 0; j < eigenVectors_.getNumberOfRows(); j++)
{
tmpEigenVectors(j, cpt2) = eigenVectors_(j, i-1);
}
cpt2++;
}
// matrix of principal components
MatrixTools::hadamardMult(tmpEigenVectors, tmpRowWeights, ppalComponents_, true);
// matrix of column coordinates
RowMatrix<double> tmpColCoord_;
tmpColCoord_.resize(colNb, nbAxes_);
MatrixTools::hadamardMult(matrix, rowWeights_, tmpColCoord_, true);
RowMatrix<double> tTmpColCoord_;
MatrixTools::transpose(tmpColCoord_, tTmpColCoord_);
MatrixTools::mult(tTmpColCoord_, ppalComponents_, colCoord_);
// matrix of row coordinates
MatrixTools::hadamardMult(ppalComponents_, dval, rowCoord_, false);
// matrix of principal axes
MatrixTools::hadamardMult(colCoord_, invDval, ppalAxes_, false);
}
}