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//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); }
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