/*=========================================================================

  Program:   Visualization Toolkit
  Module:    vtkMatrix3x3.h

  Copyright (c) Ken Martin, Will Schroeder, Bill Lorensen
  All rights reserved.
  See Copyright.txt or http://www.kitware.com/Copyright.htm for details.

     This software is distributed WITHOUT ANY WARRANTY; without even
     the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
     PURPOSE.  See the above copyright notice for more information.

=========================================================================*/
/**
 * @class   vtkMatrix3x3
 * @brief   represent and manipulate 3x3 transformation matrices
 *
 * vtkMatrix3x3 is a class to represent and manipulate 3x3 matrices.
 * Specifically, it is designed to work on 3x3 transformation matrices
 * found in 2D rendering using homogeneous coordinates [x y w].
 *
 * @sa
 * vtkTransform2D
*/

#ifndef vtkMatrix3x3_h
#define vtkMatrix3x3_h

#include "vtkCommonMathModule.h" // For export macro
#include "vtkObject.h"

class VTKCOMMONMATH_EXPORT vtkMatrix3x3 : public vtkObject
{
  // Some of the methods in here have a corresponding static (class)
  // method taking a pointer to 9 doubles that constitutes a user
  // supplied matrix. This allows C++ clients to allocate double arrays
  // on the stack and manipulate them using vtkMatrix3x3 methods.
  // This is an alternative to allowing vtkMatrix3x3 instances to be
  // created on the stack (which is frowned upon) or doing lots of
  // temporary heap allocation within vtkTransform2D methods,
  // which is inefficient.

public:
  /**
   * Construct a 3x3 identity matrix.
   */
  static vtkMatrix3x3 *New();

  vtkTypeMacro(vtkMatrix3x3,vtkObject);
  void PrintSelf(ostream& os, vtkIndent indent) override;

  /**
   * Set the elements of the matrix to the same values as the elements
   * of the source Matrix.
   */
  void DeepCopy(vtkMatrix3x3 *source)
    {vtkMatrix3x3::DeepCopy(*this->Element,source); this->Modified(); }
  static void DeepCopy(double elements[9], vtkMatrix3x3 *source)
    {vtkMatrix3x3::DeepCopy(elements,*source->Element); }
  static void DeepCopy(double elements[9], const double newElements[9]);

  /**
   * Non-static member function. Assigns *from* elements array
   */
  void DeepCopy(const double elements[9])
    { this->DeepCopy(*this->Element,elements); this->Modified(); }

  /**
   * Set all of the elements to zero.
   */
  void Zero()
    { vtkMatrix3x3::Zero(*this->Element); this->Modified(); }
  static void Zero(double elements[9]);

  /**
   * Set equal to Identity matrix
   */
  void Identity()
    { vtkMatrix3x3::Identity(*this->Element); this->Modified();}
  static void Identity(double elements[9]);

  /**
   * Matrix Inversion (adapted from Richard Carling in "Graphics Gems,"
   * Academic Press, 1990).
   */
  static void Invert(vtkMatrix3x3 *in, vtkMatrix3x3 *out)
    {vtkMatrix3x3::Invert(*in->Element,*out->Element); out->Modified(); }
  void Invert()
    { vtkMatrix3x3::Invert(this,this); }
  static void Invert(const double inElements[9], double outElements[9]);

  /**
   * Transpose the matrix and put it into out.
   */
  static void Transpose(vtkMatrix3x3 *in, vtkMatrix3x3 *out)
    {vtkMatrix3x3::Transpose(*in->Element,*out->Element); out->Modified(); }
  void Transpose()
    { vtkMatrix3x3::Transpose(this,this); }
  static void Transpose(const double inElements[9], double outElements[9]);

  /**
   * Multiply a homogeneous coordinate by this matrix, i.e. out = A*in.
   * The in[3] and out[3] can be the same array.
   */
  void MultiplyPoint(const float in[3], float out[3])
    {vtkMatrix3x3::MultiplyPoint(*this->Element,in,out); }
  void MultiplyPoint(const double in[3], double out[3])
    {vtkMatrix3x3::MultiplyPoint(*this->Element,in,out); }

  static void MultiplyPoint(const double elements[9],
                            const float in[3], float out[3]);
  static void MultiplyPoint(const double elements[9],
                            const double in[3], double out[3]);

  /**
   * Multiplies matrices a and b and stores the result in c (c=a*b).
   */
  static void Multiply3x3(vtkMatrix3x3 *a, vtkMatrix3x3 *b, vtkMatrix3x3 *c) {
    vtkMatrix3x3::Multiply3x3(*a->Element,*b->Element,*c->Element); }
  static void Multiply3x3(const double a[9], const double b[9],
                          double c[9]);

  /**
   * Compute adjoint of the matrix and put it into out.
   */
  void Adjoint(vtkMatrix3x3 *in, vtkMatrix3x3 *out)
    {vtkMatrix3x3::Adjoint(*in->Element,*out->Element);}
  static void Adjoint(const double inElements[9], double outElements[9]);

  /**
   * Compute the determinant of the matrix and return it.
   */
  double Determinant() {return vtkMatrix3x3::Determinant(*this->Element);}
  static double Determinant(const double elements[9]);

  /**
   * Sets the element i,j in the matrix.
   */
  void SetElement(int i, int j, double value);

  /**
   * Returns the element i,j from the matrix.
   */
  double GetElement(int i, int j) const
    {return this->Element[i][j];}

  // Descption:
  // Returns true if this matrix is equal to the identity matrix.
  bool IsIdentity();

  /**
   * Return a pointer to the first element of the matrix (double[9]).
   */
  double * GetData() { return *this->Element; }

protected:
  vtkMatrix3x3();
  ~vtkMatrix3x3() override;

  double Element[3][3]; // The elements of the 3x3 matrix

private:
  vtkMatrix3x3(const vtkMatrix3x3&) = delete;
  void operator=(const vtkMatrix3x3&) = delete;
};

inline void vtkMatrix3x3::SetElement(int i, int j, double value)
{
  if (this->Element[i][j] != value)
  {
    this->Element[i][j] = value;
    this->Modified();
  }
}

inline bool vtkMatrix3x3::IsIdentity()
{
  double *M = *this->Element;
  if (M[0] == 1.0 && M[4] == 1.0 && M[8] == 1.0 &&
      M[1] == 0.0 && M[2] == 0.0 && M[3] == 0.0 && M[5] == 0.0 &&
      M[6] == 0.0 && M[7] == 0.0)
  {
    return true;
  }
  else
  {
    return false;
  }
}

#endif
