affineTransformation.h

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// Gmsh - Copyright (C) 1997-2022 C. Geuzaine, J.-F. Remacle
//
// See the LICENSE.txt file in the Gmsh root directory for license information.
// Please report all issues on https://gitlab.onelab.info/gmsh/gmsh/issues.
 
#ifndef AFFINETRANSFORMATION_H
#define AFFINETRANSFORMATION_H
 
#include <vector>
 
// compute (extended) affine transformation matrix from rotation/translation:
// x' = t + (I-R)*x_c + R*x
// where t is the translation vector, I is the identity matrix, and R is the
// matrix for an active intrinsic yaw-pitch-roll rotation (i.e. intrinsic
// z-y'-x'' rotation or extrinsinc x-y-z rotation) with counter-clockwise angles
template <class FLOAT>
bool computeAffineTransformation(const FLOAT *rc, // rotation center
                                 const FLOAT *ra, // rotation angle
                                 const FLOAT *tr, // translation
                                 std::vector<double> &tfo); // transformation
 
// compute rotation/translation from (extended) affine transformation matrix:
// x' = t + (I-R)*x_c + R*x
// where t is the translation vector, I is the identity matrix, and R is the
// matrix for an active intrinsic yaw-pitch-roll rotation (i.e. intrinsic
// z-y'-x'' rotation or extrinsinc x-y-z rotation) with counter-clockwise angles
template <class FLOAT>
bool getAffineTransformationParameters(const std::vector<double> &tfo, // trnsf.
                                       FLOAT *rc, // rotation center
                                       FLOAT *ra, // rotation angle
                                       FLOAT *tr); // translation
 
// invert affine transformation
bool invertAffineTransformation(const std::vector<double> &tfo,
                                std::vector<double> &newTfo);
 
// initialize transformation with unitary one
bool setUnitAffineTransformation(std::vector<double> &tfo);
 
#endif