//File gp_Mat.lxx, JCV 04/12/90

#include <gp.hxx>
#include <Standard_OutOfRange.hxx>
#include <Standard_ConstructionError.hxx>

#define Mat00 matrix[0][0]
#define Mat01 matrix[0][1]
#define Mat02 matrix[0][2]
#define Mat10 matrix[1][0]
#define Mat11 matrix[1][1]
#define Mat12 matrix[1][2]
#define Mat20 matrix[2][0]
#define Mat21 matrix[2][1]
#define Mat22 matrix[2][2]

#define Nat00 NewMat.matrix[0][0]
#define Nat01 NewMat.matrix[0][1]
#define Nat02 NewMat.matrix[0][2]
#define Nat10 NewMat.matrix[1][0]
#define Nat11 NewMat.matrix[1][1]
#define Nat12 NewMat.matrix[1][2]
#define Nat20 NewMat.matrix[2][0]
#define Nat21 NewMat.matrix[2][1]
#define Nat22 NewMat.matrix[2][2]

#define Oat00 Other.matrix[0][0]
#define Oat01 Other.matrix[0][1]
#define Oat02 Other.matrix[0][2]
#define Oat10 Other.matrix[1][0]
#define Oat11 Other.matrix[1][1]
#define Oat12 Other.matrix[1][2]
#define Oat20 Other.matrix[2][0]
#define Oat21 Other.matrix[2][1]
#define Oat22 Other.matrix[2][2]

inline gp_Mat::gp_Mat () {
  Mat00 =
    Mat01 =
      Mat02 =
	Mat10 =
	  Mat11 =
	    Mat12 =
	      Mat20 =
		Mat21 =
		  Mat22 = 0.0;
}

inline gp_Mat::gp_Mat (const Standard_Real a11,
		       const Standard_Real a12,
		       const Standard_Real a13,
		       const Standard_Real a21,
		       const Standard_Real a22,
		       const Standard_Real a23,
		       const Standard_Real a31,
		       const Standard_Real a32,
		       const Standard_Real a33) {

  Mat00 = a11;
  Mat01 = a12;
  Mat02 = a13;
  Mat10 = a21;
  Mat11 = a22;
  Mat12 = a23;
  Mat20 = a31;
  Mat21 = a32;
  Mat22 = a33;
}

inline void gp_Mat::SetDiagonal (const Standard_Real X1,
				 const Standard_Real X2,
				 const Standard_Real X3)
{
  Mat00 = X1;   Mat11 = X2;   Mat22 = X3;
}

inline void gp_Mat::SetIdentity ()
{
  Mat00 = Mat11 = Mat22 = 1.0;
  Mat01 = Mat02 = Mat10  = Mat12 = Mat20 = Mat21 = 0.0;
 }

inline void gp_Mat::SetScale (const Standard_Real S)
{
  Mat00 = Mat11 =  Mat22 = S;
  Mat01 = Mat02 = Mat10 = Mat12 = Mat20 = Mat21 = 0.0;
}

inline void gp_Mat::SetValue (const Standard_Integer Row, 
			      const Standard_Integer Col, 
			      const Standard_Real Value)
{
  Standard_OutOfRange_Raise_if
    (Row < 1 || Row > 3 || Col < 1 || Col > 3, " ");
  matrix[Row-1][Col-1] = Value;
}

inline Standard_Real gp_Mat::Determinant () const
{
  return
    Mat00 * (Mat11 * Mat22 - Mat21 * Mat12) -
      Mat01 * (Mat10 * Mat22 - Mat20 * Mat12) +
	Mat02 * (Mat10 * Mat21 - Mat20 * Mat11);
}

inline const Standard_Real& gp_Mat::Value (const Standard_Integer Row, 
					   const Standard_Integer Col) const
{
  Standard_OutOfRange_Raise_if
    (Row < 1 || Row > 3 || Col < 1 || Col > 3, " ");
  return matrix[Row-1][Col-1];
}

inline Standard_Real& gp_Mat::ChangeValue (const Standard_Integer Row, 
					   const Standard_Integer Col)
{
  Standard_OutOfRange_Raise_if
    (Row < 1 || Row > 3 || Col < 1 || Col > 3, " ");
  return matrix[Row-1][Col-1];
}

inline Standard_Boolean gp_Mat::IsSingular () const
{
  // Pour etre sur que Gauss va fonctionner, il faut faire Gauss ...
  Standard_Real val = Determinant();
  if (val < 0) val = - val;
  return val <= gp::Resolution();
}

inline void gp_Mat::Add (const gp_Mat& Other)
{
  Mat00 = Mat00 + Oat00;
  Mat01 = Mat01 + Oat01;
  Mat02 = Mat02 + Oat02;
  Mat10 = Mat10 + Oat10;
  Mat11 = Mat11 + Oat11;
  Mat12 = Mat12 + Oat12;
  Mat20 = Mat20 + Oat20;
  Mat21 = Mat21 + Oat21;
  Mat22 = Mat22 + Oat22;
}

inline gp_Mat gp_Mat::Added (const gp_Mat& Other) const
{
  gp_Mat NewMat;
  Nat00 = Mat00 + Oat00;
  Nat01 = Mat01 + Oat01;
  Nat02 = Mat02 + Oat02;
  Nat10 = Mat10 + Oat10;
  Nat11 = Mat11 + Oat11;
  Nat12 = Mat12 + Oat12;
  Nat20 = Mat20 + Oat20;
  Nat21 = Mat21 + Oat21;
  Nat22 = Mat22 + Oat22;
  return NewMat;
}

inline void gp_Mat::Divide (const Standard_Real Scalar)
{
  Standard_Real val = Scalar;
  if (val < 0) val = - val;
  Standard_ConstructionError_Raise_if
      (val <= gp::Resolution(),"gp_Mat : Divide by 0");
  Standard_Real UnSurScalar = 1.0 / Scalar;
  Mat00 *= UnSurScalar;
  Mat01 *= UnSurScalar; 
  Mat02 *= UnSurScalar; 
  Mat10 *= UnSurScalar; 
  Mat11 *= UnSurScalar; 
  Mat12 *= UnSurScalar; 
  Mat20 *= UnSurScalar; 
  Mat21 *= UnSurScalar; 
  Mat22 *= UnSurScalar; 
}

inline gp_Mat gp_Mat::Divided (const Standard_Real Scalar) const
{
  Standard_Real val = Scalar;
  if (val < 0) val = - val;
  Standard_ConstructionError_Raise_if
      (val <= gp::Resolution(),"gp_Mat : Divide by 0");
  gp_Mat NewMat;
  Standard_Real UnSurScalar = 1.0 / Scalar;
  Nat00 = Mat00 * UnSurScalar;
  Nat01 = Mat01 * UnSurScalar; 
  Nat02 = Mat02 * UnSurScalar; 
  Nat10 = Mat10 * UnSurScalar; 
  Nat11 = Mat11 * UnSurScalar; 
  Nat12 = Mat12 * UnSurScalar; 
  Nat20 = Mat20 * UnSurScalar; 
  Nat21 = Mat21 * UnSurScalar; 
  Nat22 = Mat22 * UnSurScalar; 
  return NewMat;
}

inline gp_Mat gp_Mat::Multiplied (const gp_Mat& Other) const
{
  gp_Mat NewMat = *this;
  NewMat.Multiply(Other);
  return NewMat;
}

inline void gp_Mat::Multiply (const gp_Mat& Other)
{
  Standard_Real T00,T01,T02,T10,T11,T12,T20,T21,T22;
  T00 = Mat00 * Oat00 + Mat01 * Oat10 + Mat02 * Oat20;
  T01 = Mat00 * Oat01 + Mat01 * Oat11 + Mat02 * Oat21;
  T02 = Mat00 * Oat02 + Mat01 * Oat12 + Mat02 * Oat22;
  T10 = Mat10 * Oat00 + Mat11 * Oat10 + Mat12 * Oat20;
  T11 = Mat10 * Oat01 + Mat11 * Oat11 + Mat12 * Oat21;
  T12 = Mat10 * Oat02 + Mat11 * Oat12 + Mat12 * Oat22;
  T20 = Mat20 * Oat00 + Mat21 * Oat10 + Mat22 * Oat20;
  T21 = Mat20 * Oat01 + Mat21 * Oat11 + Mat22 * Oat21;
  T22 = Mat20 * Oat02 + Mat21 * Oat12 + Mat22 * Oat22;
  Mat00 = T00; 
  Mat01 = T01; 
  Mat02 = T02; 
  Mat10 = T10; 
  Mat11 = T11; 
  Mat12 = T12; 
  Mat20 = T20; 
  Mat21 = T21; 
  Mat22 = T22; 
}

inline void gp_Mat::PreMultiply (const gp_Mat& Other)
{
  Standard_Real T00,T01,T02,T10,T11,T12,T20,T21,T22;
  T00 = Oat00 * Mat00 + Oat01 * Mat10 + Oat02 * Mat20;
  T01 = Oat00 * Mat01 + Oat01 * Mat11 + Oat02 * Mat21;
  T02 = Oat00 * Mat02 + Oat01 * Mat12 + Oat02 * Mat22;    
  T10 = Oat10 * Mat00 + Oat11 * Mat10 + Oat12 * Mat20;
  T11 = Oat10 * Mat01 + Oat11 * Mat11 + Oat12 * Mat21;
  T12 = Oat10 * Mat02 + Oat11 * Mat12 + Oat12 * Mat22;    
  T20 = Oat20 * Mat00 + Oat21 * Mat10 + Oat22 * Mat20;
  T21 = Oat20 * Mat01 + Oat21 * Mat11 + Oat22 * Mat21;
  T22 = Oat20 * Mat02 + Oat21 * Mat12 + Oat22 * Mat22;    
  Mat00 = T00; 
  Mat01 = T01; 
  Mat02 = T02; 
  Mat10 = T10; 
  Mat11 = T11; 
  Mat12 = T12; 
  Mat20 = T20; 
  Mat21 = T21; 
  Mat22 = T22; 
}

inline gp_Mat gp_Mat::Multiplied (const Standard_Real Scalar) const
{
  gp_Mat NewMat;
  Nat00 = Scalar * Mat00;
  Nat01 = Scalar * Mat01;
  Nat02 = Scalar * Mat02;
  Nat10 = Scalar * Mat10;
  Nat11 = Scalar * Mat11;
  Nat12 = Scalar * Mat12;
  Nat20 = Scalar * Mat20;
  Nat21 = Scalar * Mat21;
  Nat22 = Scalar * Mat22;
  return NewMat;
}

inline void gp_Mat::Multiply (const Standard_Real Scalar)
{
  Mat00 *= Scalar; 
  Mat01 *= Scalar; 
  Mat02 *= Scalar; 
  Mat10 *= Scalar; 
  Mat11 *= Scalar; 
  Mat12 *= Scalar; 
  Mat20 *= Scalar; 
  Mat21 *= Scalar; 
  Mat22 *= Scalar; 
}

inline gp_Mat gp_Mat::Powered (const Standard_Integer N) const
{
   gp_Mat MatN = *this;
   MatN.Power (N);
   return MatN;
}

inline void gp_Mat::Subtract (const gp_Mat& Other)
{
  Mat00 -= Oat00;
  Mat01 -= Oat01;
  Mat02 -= Oat02;
  Mat10 -= Oat10;
  Mat11 -= Oat11;
  Mat12 -= Oat12;
  Mat20 -= Oat20;
  Mat21 -= Oat21;
  Mat22 -= Oat22;
}

inline gp_Mat gp_Mat::Subtracted (const gp_Mat& Other) const
{
  gp_Mat NewMat;
  Nat00 = Mat00 - Oat00;
  Nat01 = Mat01 - Oat01;
  Nat02 = Mat02 - Oat02;
  Nat10 = Mat10 - Oat10;
  Nat11 = Mat11 - Oat11;
  Nat12 = Mat12 - Oat12;
  Nat20 = Mat20 - Oat20;
  Nat21 = Mat21 - Oat21;
  Nat22 = Mat22 - Oat22;
  return NewMat;
}

inline void gp_Mat::Transpose ()
{
  Standard_Real Temp;
  Temp   = Mat01;
  Mat01  = Mat10;
  Mat10  = Temp;
  Temp   = Mat02;
  Mat02  = Mat20;
  Mat20  = Temp;
  Temp   = Mat12;
  Mat12  = Mat21;
  Mat21  = Temp;
}

inline gp_Mat gp_Mat::Transposed () const
{
  gp_Mat NewMat = *this;
  NewMat.Transpose();
  return NewMat; 
}

inline gp_Mat operator* (const Standard_Real Scalar, const gp_Mat& Mat3D)
{ return Mat3D.Multiplied (Scalar); }