beautifying code for Cholesky classes
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1 changed files with 11 additions and 6 deletions
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@ -129,6 +129,7 @@ protected:
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template< typename T >
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class CholeskyLLT : public CholeskyBase<T>
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{
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public:
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virtual void operator()( const CovarMat& V )
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{
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unsigned int N = assert_properties( V );
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@ -164,6 +165,8 @@ class CholeskyLLT : public CholeskyBase<T>
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} // for i in [1,N[
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}
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/** The step of the standard LLT algorithm where round off errors may appear */
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inline virtual L_i_i( const CovarMat& V, const unsigned int& i, const double& sum ) const
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{
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// round-off errors may appear here
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@ -173,7 +176,6 @@ class CholeskyLLT : public CholeskyBase<T>
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};
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/** This standard algorithm makes use of square root but do not fail
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* if the covariance matrix is very ill-conditioned.
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* Here, we propagate the error by using the absolute value before
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@ -185,6 +187,7 @@ class CholeskyLLT : public CholeskyBase<T>
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template< typename T >
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class CholeskyLLTabs : public CholeskyLLT<T>
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{
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public:
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inline virtual L_i_i( const CovarMat& V, const unsigned int& i, const double& sum ) const
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{
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/***** ugly hack *****/
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@ -203,6 +206,7 @@ class CholeskyLLTabs : public CholeskyLLT<T>
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template< typename T >
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class CholeskyLLTzero : public CholeskyLLT<T>
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{
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public:
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inline virtual L_i_i( const CovarMat& V, const unsigned int& i, const double& sum ) const
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{
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T Lii;
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@ -226,6 +230,7 @@ class CholeskyLLTzero : public CholeskyLLT<T>
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template< typename T >
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class CholeskyLDLT : public CholeskyBase<T>
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{
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public:
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virtual void operator()( const CovarMat& V )
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{
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// use "int" everywhere, because of the "j-1" operation
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@ -256,24 +261,24 @@ class CholeskyLDLT : public CholeskyBase<T>
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} // for i in rows
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} // for j in columns
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_L = compute_L( L, D );
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_L = root( L, D );
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}
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inline FactorMat compute_L( FactorMat& L, FactorMat& D )
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inline FactorMat root( FactorMat& L, FactorMat& D )
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{
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// now compute the final symetric matrix: _L = L D^1/2
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// remember that V = ( L D^1/2) ( L D^1/2)^T
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// fortunately, the square root of a diagonal matrix is the square
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// root of all its elements
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FactorMat D12 = D;
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FactorMat sqrt_D = D;
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for(int i=0; i<N; ++i) {
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D12(i,i) = sqrt(D(i,i));
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sqrt_D(i,i) = sqrt(D(i,i));
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}
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// the factorization is thus _L*D^1/2
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return ublas::prod( L, D12);
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return ublas::prod( L, sqrt_D );
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}
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};
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