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template<typename T > |
MathMatrix< 0, 0, T >::value_type | ug::Determinant (const MathMatrix< 0, 0, T > &m) |
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template<typename T > |
MathMatrix< 4, 4, T >::value_type | ug::Determinant (const MathMatrix< 4, 4, T > &m) |
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template<typename T > |
MathMatrix< 0, 0, T >::value_type | ug::GramDeterminant (const MathMatrix< 0, 0, T > &m) |
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template<size_t M, typename T > |
MathMatrix< 0, M, T >::value_type | ug::GramDeterminant (const MathMatrix< 0, M, T > &m) |
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template<size_t N, typename T > |
MathMatrix< N, 0, T >::value_type | ug::GramDeterminant (const MathMatrix< N, 0, T > &m) |
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template<typename matrix_t > |
void | ug::MatAdd (matrix_t &mOut, const matrix_t &m, typename matrix_t::value_type s) |
| Add a scalar to a matrix (componentwise) More...
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template<typename matrix_t > |
void | ug::MatAdd (matrix_t &mOut, const matrix_t &m1, const matrix_t &m2) |
| adds two matrices and stores the result in a third one More...
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template<typename matrix_t > |
matrix_t::value_type | ug::MatContraction (const matrix_t &m1, const matrix_t &m2) |
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template<typename matrix_t > |
matrix_t::value_type | ug::MatDeviatorTrace (const matrix_t &m, matrix_t &dev) |
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template<typename matrix_t > |
void | ug::MatDiagSet (matrix_t &mInOut, typename matrix_t::value_type s) |
| Set diagonal entries of a matrix to a scalar (other entries are not changed) More...
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template<typename matrix_t > |
void | ug::MatDivide (matrix_t &mOut, const matrix_t &m, typename matrix_t::value_type s) |
| Devide a matrix by a scalar (componentwise) More...
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template<typename matrix_t > |
matrix_t::value_type | ug::MatFrobeniusNorm (matrix_t &m) |
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template<typename matrix_t > |
matrix_t::value_type | ug::MatFrobeniusNormSq (matrix_t &m) |
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template<typename matrix_t , typename vector_t > |
void | ug::MatHouseholder (matrix_t &mOut, const vector_t &orthoVec) |
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template<typename matrix_t > |
void | ug::MatIdentity (matrix_t &mOut) |
| Fills the matrix with the identity matrix. More...
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template<typename matrix_t > |
matrix_t::value_type | ug::MatInftyNorm (matrix_t &m) |
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template<typename matrix_t > |
matrix_t::value_type | ug::MatMaxNorm (matrix_t &m) |
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template<size_t N, size_t M, size_t L, typename T > |
void | ug::MatMultiply (MathMatrix< N, M, T > &mOut, const MathMatrix< N, L, T > &m1, const MathMatrix< L, M, T > &m2) |
| multiply two matrices and stores the result in a third one More...
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template<size_t N, size_t M, size_t L, size_t P, typename T > |
void | ug::MatMultiply (MathMatrix< N, M, T > &mOut, const MathMatrix< N, L, T > &m1, const MathMatrix< L, P, T > &m2, const MathMatrix< P, M, T > &m3) |
| multiply three matrices and stores the result in a fourth one More...
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template<typename matrix_t > |
void | ug::MatMultiply (matrix_t &mOut, const matrix_t &m, typename matrix_t::value_type s) |
| Multiply a matrix by a scalar (componentwise) More...
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template<size_t N, size_t M, typename T > |
void | ug::MatMultiplyMBMT (MathMatrix< N, N, T > &mOut, const MathMatrix< N, M, T > &m1, const MathMatrix< M, M, T > &m2) |
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template<size_t N, size_t M, size_t L, typename T > |
void | ug::MatMultiplyMBT (MathMatrix< N, M, T > &mOut, const MathMatrix< N, L, T > &m1, const MathMatrix< M, L, T > &m2) |
| multiply a matrix with the transposed of a second one and stores the result in mOut More...
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template<size_t N, size_t M, typename T > |
void | ug::MatMultiplyMMT (MathMatrix< M, M, T > &mOut, const MathMatrix< M, N, T > &m) |
| multiply a matrix with its transposed and stores the result in a second one More...
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template<size_t N, size_t M, size_t L, typename T > |
void | ug::MatMultiplyMTB (MathMatrix< N, M, T > &mOut, const MathMatrix< L, N, T > &m1, const MathMatrix< L, M, T > &m2) |
| multiply the transposed of a matrix with a matrix and stores the result in mOut More...
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template<size_t N, size_t M, typename T > |
void | ug::MatMultiplyMTBM (MathMatrix< N, N, T > &mOut, const MathMatrix< M, N, T > &m1, const MathMatrix< M, M, T > &m2) |
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template<size_t N, size_t M, typename T > |
void | ug::MatMultiplyMTM (MathMatrix< N, N, T > &mOut, const MathMatrix< M, N, T > &m) |
| multiply a transposed matrix with itself and stores the result in a second one More...
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template<size_t N, size_t M, size_t L, typename T > |
void | ug::MatMultiplyTransposed (MathMatrix< N, M, T > &mOut, const MathMatrix< L, N, T > &m1, const MathMatrix< M, L, T > &m2) |
| multiply two transposed matrices and stores the result in a third one More...
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template<typename matrix_t > |
matrix_t::value_type | ug::MatOneNorm (matrix_t &m) |
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template<typename matrix_t > |
void | ug::MatRotationX (matrix_t &mOut, typename matrix_t::value_type rads) |
| Fills the matrix with a matrix that rotates around the x-axis in 3 dimensions. More...
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template<typename matrix_t > |
void | ug::MatRotationY (matrix_t &mOut, typename matrix_t::value_type rads) |
| Fills the matrix with a matrix that rotates around the y-axis in 3 dimensions. More...
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template<typename matrix_t > |
void | ug::MatRotationYawPitchRoll (matrix_t &mOut, typename matrix_t::value_type yaw, typename matrix_t::value_type pitch, typename matrix_t::value_type roll) |
| Creates a rotation matrix given yaw, pitch and roll in radiants. More...
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template<typename matrix_t > |
void | ug::MatRotationZ (matrix_t &mOut, typename matrix_t::value_type rads) |
| Fills the matrix with a matrix that rotates around the y-axis in 2 or 3 dimensions. More...
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template<typename matrix_t > |
void | ug::MatScale (matrix_t &mOut, typename matrix_t::value_type s, const matrix_t &m) |
| scales a matrix_t More...
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template<typename matrix_t > |
void | ug::MatScaleAppend (matrix_t &mOut, typename matrix_t::value_type s, const matrix_t &m) |
| scales a matrix_t and adds to result to a second matrix More...
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template<typename matrix_t > |
void | ug::MatSet (matrix_t &mInOut, typename matrix_t::value_type s) |
| Set each matrix entry to a scalar (componentwise) More...
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template<typename matrix_t > |
void | ug::MatSubtract (matrix_t &mOut, const matrix_t &m, typename matrix_t::value_type s) |
| Subtract a scalar from a matrix (componentwise) More...
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template<typename matrix_t > |
void | ug::MatSubtract (matrix_t &mOut, const matrix_t &m1, const matrix_t &m2) |
| subtracts m2 from m1 and stores the result in a mOut More...
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template<typename T > |
MathMatrix< 1, 1, T >::value_type | ug::MaxAbsEigenvalue (const MathMatrix< 1, 1, T > &m) |
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template<typename T > |
MathMatrix< 2, 2, T >::value_type | ug::MaxAbsEigenvalue (const MathMatrix< 2, 2, T > &m) |
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template<size_t N, size_t M, typename T > |
MathMatrix< N, M, T >::value_type | ug::MaxAbsEigenvalue (const MathMatrix< M, N, T > &m) |
| Computes maximum eigenvalue of a (symmetric) matrix. More...
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template<typename matrix_t > |
matrix_t::value_type | ug::MinAbsEigenvalue (matrix_t &m) |
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template<typename T > |
MathMatrix< 0, 0, T >::value_type | ug::SqrtGramDeterminant (const MathMatrix< 0, 0, T > &m) |
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template<size_t M, typename T > |
MathMatrix< 0, M, T >::value_type | ug::SqrtGramDeterminant (const MathMatrix< 0, M, T > &m) |
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template<size_t N, typename T > |
MathMatrix< N, 0, T >::value_type | ug::SqrtGramDeterminant (const MathMatrix< N, 0, T > &m) |
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template<size_t N, size_t M, typename T > |
void | ug::Transpose (MathMatrix< N, M, T > &mOut, const MathMatrix< M, N, T > &m) |
| transpose a matrix More...
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template<typename matrix_t > |
void | ug::Transpose (matrix_t &m) |
| transpose a matrix_t, override original matrix_t More...
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template<typename T > |
MathMatrix< 1, 1, T >::value_type | ug::Determinant (const MathMatrix< 1, 1, T > &m) |
| Determinant of a matrix. More...
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template<typename T > |
MathMatrix< 2, 2, T >::value_type | ug::Determinant (const MathMatrix< 2, 2, T > &m) |
| Determinant of a matrix. More...
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template<typename T > |
MathMatrix< 3, 3, T >::value_type | ug::Determinant (const MathMatrix< 3, 3, T > &m) |
| Determinant of a matrix. More...
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template<size_t N, typename T > |
MathMatrix< N, N, T >::value_type | ug::Determinant (const MathMatrix< N, N, T > &m) |
| Determinant of a matrix. More...
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template<typename T > |
MathMatrix< 1, 1, T >::value_type | ug::GramDeterminant (const MathMatrix< 1, 1, T > &m) |
| Gram Determinant of a matrix. More...
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template<typename T > |
MathMatrix< 2, 2, T >::value_type | ug::GramDeterminant (const MathMatrix< 2, 2, T > &m) |
| Gram Determinant of a matrix. More...
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template<typename T > |
MathMatrix< 3, 3, T >::value_type | ug::GramDeterminant (const MathMatrix< 3, 3, T > &m) |
| Gram Determinant of a matrix. More...
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template<size_t N, size_t M, typename T > |
MathMatrix< N, M, T >::value_type | ug::GramDeterminant (const MathMatrix< N, M, T > &m) |
| Gram Determinant of a matrix. More...
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template<typename T > |
MathMatrix< 1, 1, T >::value_type | ug::SqrtGramDeterminant (const MathMatrix< 1, 1, T > &m) |
| Square root of Gram Determinant of a matrix. More...
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template<typename T > |
MathMatrix< 2, 2, T >::value_type | ug::SqrtGramDeterminant (const MathMatrix< 2, 2, T > &m) |
| Square root of Gram Determinant of a matrix. More...
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template<typename T > |
MathMatrix< 3, 3, T >::value_type | ug::SqrtGramDeterminant (const MathMatrix< 3, 3, T > &m) |
| Square root of Gram Determinant of a matrix. More...
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template<size_t N, size_t M, typename T > |
MathMatrix< N, M, T >::value_type | ug::SqrtGramDeterminant (const MathMatrix< N, M, T > &m) |
| Square root of Gram Determinant of a matrix. More...
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template<typename T > |
MathMatrix< 1, 1, T >::value_type | ug::Inverse (MathMatrix< 1, 1, T > &mOut, const MathMatrix< 1, 1, T > &m) |
| Inverse of a matrix. More...
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template<typename T > |
MathMatrix< 2, 2, T >::value_type | ug::Inverse (MathMatrix< 2, 2, T > &mOut, const MathMatrix< 2, 2, T > &m) |
| Inverse of a matrix. More...
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template<typename T > |
MathMatrix< 3, 3, T >::value_type | ug::Inverse (MathMatrix< 3, 3, T > &mOut, const MathMatrix< 3, 3, T > &m) |
| Inverse of a matrix. More...
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template<size_t N, size_t M, typename T > |
MathMatrix< N, M, T >::value_type | ug::Inverse (MathMatrix< N, M, T > &mOut, const MathMatrix< M, N, T > &m) |
| Inverse of a matrix. More...
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template<typename T > |
MathMatrix< 1, 1, T >::value_type | ug::InverseTransposed (MathMatrix< 1, 1, T > &mOut, const MathMatrix< 1, 1, T > &m) |
| Transposed-Inverse of a Matrix (= Inverse-Transposed of a Matrix) More...
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template<typename T > |
MathMatrix< 2, 2, T >::value_type | ug::InverseTransposed (MathMatrix< 2, 2, T > &mOut, const MathMatrix< 2, 2, T > &m) |
| Transposed-Inverse of a Matrix (= Inverse-Transposed of a Matrix) More...
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template<typename T > |
MathMatrix< 3, 3, T >::value_type | ug::InverseTransposed (MathMatrix< 3, 3, T > &mOut, const MathMatrix< 3, 3, T > &m) |
| Transposed-Inverse of a Matrix (= Inverse-Transposed of a Matrix) More...
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template<size_t N, size_t M, typename T > |
MathMatrix< N, M, T >::value_type | ug::InverseTransposed (MathMatrix< N, M, T > &mOut, const MathMatrix< M, N, T > &m) |
| Transposed-Inverse of a Matrix (= Inverse-Transposed of a Matrix) More...
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template<typename T > |
MathMatrix< 1, 1, T >::value_type | ug::RightInverse (MathMatrix< 1, 1 > &mOut, const MathMatrix< 1, 1 > &m) |
| Right-Inverse of a Matrix. More...
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template<typename T > |
MathMatrix< 2, 2, T >::value_type | ug::RightInverse (MathMatrix< 2, 2 > &mOut, const MathMatrix< 2, 2 > &m) |
| Right-Inverse of a Matrix. More...
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template<typename T > |
MathMatrix< 3, 3, T >::value_type | ug::RightInverse (MathMatrix< 3, 3 > &mOut, const MathMatrix< 3, 3 > &m) |
| Right-Inverse of a Matrix. More...
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template<size_t N, size_t M, typename T > |
MathMatrix< N, M, T >::value_type | ug::RightInverse (MathMatrix< N, M, T > &mOut, const MathMatrix< M, N, T > &m) |
| Right-Inverse of a Matrix. More...
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template<typename T > |
MathMatrix< 1, 1, T >::value_type | ug::LeftInverse (MathMatrix< 1, 1 > &mOut, const MathMatrix< 1, 1 > &m) |
| Left-Inverse of a Matrix. More...
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template<typename T > |
MathMatrix< 2, 2, T >::value_type | ug::LeftInverse (MathMatrix< 2, 2 > &mOut, const MathMatrix< 2, 2 > &m) |
| Left-Inverse of a Matrix. More...
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template<typename T > |
MathMatrix< 3, 3, T >::value_type | ug::LeftInverse (MathMatrix< 3, 3 > &mOut, const MathMatrix< 3, 3 > &m) |
| Left-Inverse of a Matrix. More...
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template<size_t N, size_t M, typename T > |
MathMatrix< N, M, T >::value_type | ug::LeftInverse (MathMatrix< N, M, T > &mOut, const MathMatrix< M, N, T > &m) |
| Left-Inverse of a Matrix. More...
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template<size_t N, size_t M, typename T > |
MathMatrix< N, M, T >::value_type | ug::GeneralizedInverse (MathMatrix< N, M, T > &mOut, const MathMatrix< M, N, T > &m) |
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template<typename T > |
MathMatrix< 1, 1, T >::value_type | ug::Trace (const MathMatrix< 1, 1, T > &m) |
| Trace of a Matrix. More...
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template<typename T > |
MathMatrix< 2, 2, T >::value_type | ug::Trace (const MathMatrix< 2, 2, T > &m) |
| Trace of a Matrix. More...
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template<typename T > |
MathMatrix< 3, 3, T >::value_type | ug::Trace (const MathMatrix< 3, 3, T > &m) |
| Trace of a Matrix. More...
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