matrix-functions.h File Reference
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 This code computes Goodness of Pronunciation (GOP) and extracts phone-level pronunciation feature for mispronunciations detection tasks, the reference:


template<typename Real >
void ComplexFft (VectorBase< Real > *v, bool forward, Vector< Real > *tmp_work=NULL)
 The function ComplexFft does an Fft on the vector argument v. More...
template<typename Real >
void ComplexFt (const VectorBase< Real > &in, VectorBase< Real > *out, bool forward)
 ComplexFt is the same as ComplexFft but it implements the Fourier transform in an inefficient way. More...
template<typename Real >
void RealFft (VectorBase< Real > *v, bool forward)
 RealFft is a fourier transform of real inputs. More...
template<typename Real >
void RealFftInefficient (VectorBase< Real > *v, bool forward)
 Inefficient version of Fourier transform, for testing purposes. More...
template<typename Real >
void ComputeDctMatrix (Matrix< Real > *M)
 ComputeDctMatrix computes a matrix corresponding to the DCT, such that M * v equals the DCT of vector v. More...
template<typename Real >
void ComplexMul (const Real &a_re, const Real &a_im, Real *b_re, Real *b_im)
 ComplexMul implements, inline, the complex multiplication b *= a. More...
template<typename Real >
void ComplexAddProduct (const Real &a_re, const Real &a_im, const Real &b_re, const Real &b_im, Real *c_re, Real *c_im)
 ComplexMul implements, inline, the complex operation c += (a * b). More...
template<typename Real >
void ComplexImExp (Real x, Real *a_re, Real *a_im)
 ComplexImExp implements a <– exp(i x), inline. More...
template<typename Real >
void ComputePca (const MatrixBase< Real > &X, MatrixBase< Real > *U, MatrixBase< Real > *A, bool print_eigs=false, bool exact=true)
 ComputePCA does a PCA computation, using either outer products or inner products, whichever is more efficient. More...
template<typename Real >
void AddOuterProductPlusMinus (Real alpha, const VectorBase< Real > &a, const VectorBase< Real > &b, MatrixBase< Real > *plus, MatrixBase< Real > *minus)
template<typename Real1 , typename Real2 >
void AssertSameDim (const MatrixBase< Real1 > &mat1, const MatrixBase< Real2 > &mat2)