#include <math.h>#include <iostream>#include <boost/format.hpp>#include <openvdb/Exceptions.h>#include "Math.h"Go to the source code of this file.
Classes | |
| class | Mat< SIZE, T > |
| class | Quat< T > |
| class | Vec3< T > |
Namespaces | |
| openvdb | |
| openvdb::v2_3_0 | |
| openvdb::v2_3_0::math | |
Functions | |
| template<class MatType > | |
| MatType | rotation (const Quat< typename MatType::value_type > &q, typename MatType::value_type eps=1.0e-8) |
| Return the rotation matrix specified by the given quaternion. More... | |
| 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... | |
| 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... | |
| template<class MatType > | |
| Vec3< typename MatType::value_type > | eulerAngles (const MatType &mat, RotationOrder rotationOrder, typename MatType::value_type eps=1.0e-8) |
| Return the Euler angles composing the given rotation matrix. More... | |
| template<class MatType > | |
| MatType | rotation (const Vec3< typename MatType::value_type > &_v1, const Vec3< typename MatType::value_type > &_v2, typename MatType::value_type eps=1.0e-8) |
| Return a rotation matrix that maps v1 onto v2 about the cross product of v1 and v2. More... | |
| template<class MatType > | |
| MatType | scale (const Vec3< typename MatType::value_type > &s) |
| Return a matrix that scales by s. More... | |
| template<class MatType > | |
| Vec3< typename MatType::value_type > | getScale (const MatType &mat) |
| Return a Vec3 representing the lengths of the passed matrix's upper 3x3's rows. More... | |
| 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 3x3 rows normalized. More... | |
| 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 3x3 rows normalized, and return the length of each of these rows in scaling. More... | |
| 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... | |
| template<class MatType > | |
| MatType | skew (const Vec3< typename MatType::value_type > &skew) |
| Return a matrix as the cross product of the given vector. More... | |
| 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... | |
| template<class MatType > | |
| static MatType & | padMat4 (MatType &dest) |
| Write 0s along Mat4's last row and column, and a 1 on its diagonal. More... | |
| template<typename MatType > | |
| void | sqrtSolve (const MatType &aA, MatType &aB, double aTol=0.01) |
| Solve for A=B*B, given A. More... | |
| 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... | |
| template<typename MatType > | |
| bool | isInvertible (const MatType &m) |
| Determine if a matrix is invertible. More... | |
| template<typename MatType > | |
| bool | isSymmetric (const MatType &m) |
| Determine if a matrix is symmetric. More... | |
| template<typename MatType > | |
| bool | isUnitary (const MatType &m) |
| Determine if a matrix is unitary (i.e., rotation or reflection). More... | |
| template<typename MatType > | |
| bool | isDiagonal (const MatType &mat) |
| Determine if a matrix is diagonal. More... | |
| template<typename MatType > | |
| MatType::ValueType | lInfinityNorm (const MatType &matrix) |
Return the  norm of an N x N matrix. More... | |
| template<typename MatType > | |
| MatType::ValueType | lOneNorm (const MatType &matrix) |
Return the  norm of an N x N matrix. More... | |
| template<typename MatType > | |
| bool | polarDecomposition (const MatType &input, MatType &unitary, MatType &positive_hermitian, unsigned int MAX_ITERATIONS=100) |
| Decompose an invertible 3x3 matrix into a unitary matrix followed by a symmetric matrix (positive semi-definite Hermitian), i.e., M = U * S. More... | |
