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| template<class MatType > |
| MatType | rotation (const Quat< typename MatType::value_type > &q, typename MatType::value_type eps=static_cast< typename MatType::value_type >(1.0e-8)) |
| | Return the rotation matrix specified by the given quaternion. More...
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| template<class MatType > |
| MatType | rotation (Axis axis, typename MatType::value_type angle) |
| | Return a matrix for rotation by angle radians about the given axis. More...
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| template<class MatType > |
| MatType | rotation (const Vec3< typename MatType::value_type > &_axis, typename MatType::value_type angle) |
| | Return a matrix for rotation by angle radians about the given axis. More...
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| template<class MatType > |
| Vec3< typename MatType::value_type > | eulerAngles (const MatType &mat, RotationOrder rotationOrder, typename MatType::value_type eps=static_cast< typename MatType::value_type >(1.0e-8)) |
| | Return the Euler angles composing the given rotation matrix. More...
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| template<typename MatType , typename ValueType1 , typename ValueType2 > |
| MatType | rotation (const Vec3< ValueType1 > &_v1, const Vec3< ValueType2 > &_v2, typename MatType::value_type eps=static_cast< typename MatType::value_type >(1.0e-8)) |
| | Return a rotation matrix that maps v1 onto v2 about the cross product of v1 and v2. More...
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| template<class MatType > |
| MatType | scale (const Vec3< typename MatType::value_type > &s) |
| | Return a matrix that scales by s. More...
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| template<class MatType > |
| Vec3< typename MatType::value_type > | getScale (const MatType &mat) |
| | Return a Vec3 representing the lengths of the passed matrix's upper 3×3's rows. More...
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| template<class MatType > |
| MatType | unit (const MatType &mat, typename MatType::value_type eps=1.0e-8) |
| | Return a copy of the given matrix with its upper 3×3 rows normalized. More...
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| template<class MatType > |
| MatType | unit (const MatType &in, typename MatType::value_type eps, Vec3< typename MatType::value_type > &scaling) |
| | Return a copy of the given matrix with its upper 3×3 rows normalized, and return the length of each of these rows in scaling. More...
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| template<class MatType > |
| MatType | shear (Axis axis0, Axis axis1, typename MatType::value_type shear) |
| | Set the matrix to a shear along axis0 by a fraction of axis1. More...
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| template<class MatType > |
| MatType | skew (const Vec3< typename MatType::value_type > &skew) |
| | Return a matrix as the cross product of the given vector. More...
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| template<class MatType > |
| MatType | aim (const Vec3< typename MatType::value_type > &direction, const Vec3< typename MatType::value_type > &vertical) |
| | Return an orientation matrix such that z points along direction, and y is along the direction / vertical plane. More...
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| template<class MatType > |
| MatType | snapMatBasis (const MatType &source, Axis axis, const Vec3< typename MatType::value_type > &direction) |
| | This function snaps a specific axis to a specific direction, preserving scaling. More...
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| template<class MatType > |
| MatType & | padMat4 (MatType &dest) |
| | Write 0s along Mat4's last row and column, and a 1 on its diagonal. More...
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| template<typename MatType > |
| void | sqrtSolve (const MatType &aA, MatType &aB, double aTol=0.01) |
| | Solve for A=B*B, given A. More...
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| template<typename MatType > |
| void | powSolve (const MatType &aA, MatType &aB, double aPower, double aTol=0.01) |
| |
| template<typename MatType > |
| bool | isIdentity (const MatType &m) |
| | Determine if a matrix is an identity matrix. More...
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| template<typename MatType > |
| bool | isInvertible (const MatType &m) |
| | Determine if a matrix is invertible. More...
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| template<typename MatType > |
| bool | isSymmetric (const MatType &m) |
| | Determine if a matrix is symmetric. More...
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| template<typename MatType > |
| bool | isUnitary (const MatType &m) |
| | Determine if a matrix is unitary (i.e., rotation or reflection). More...
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| template<typename MatType > |
| bool | isDiagonal (const MatType &mat) |
| | Determine if a matrix is diagonal. More...
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| template<typename MatType > |
| MatType::ValueType | lInfinityNorm (const MatType &matrix) |
| | Return the L∞ norm of an N×N matrix. More...
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| template<typename MatType > |
| MatType::ValueType | lOneNorm (const MatType &matrix) |
| | Return the L1 norm of an N×N matrix. More...
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| template<typename MatType > |
| bool | polarDecomposition (const MatType &input, MatType &unitary, MatType &positive_hermitian, unsigned int MAX_ITERATIONS=100) |
| | Decompose an invertible 3×3 matrix into a unitary matrix followed by a symmetric matrix (positive semi-definite Hermitian), i.e., M = U * S. More...
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| template<unsigned SIZE, typename T > |
| bool | cwiseLessThan (const Mat< SIZE, T > &m0, const Mat< SIZE, T > &m1) |
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| template<unsigned SIZE, typename T > |
| bool | cwiseGreaterThan (const Mat< SIZE, T > &m0, const Mat< SIZE, T > &m1) |
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1.8.11