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//File gp_Mat2d.lxx, JCV 04/12/90
#include <gp.hxx>
#include <Standard_OutOfRange.hxx>
#define Mat2d00 matrix[0][0]
#define Mat2d01 matrix[0][1]
#define Mat2d10 matrix[1][0]
#define Mat2d11 matrix[1][1]
#define Nat2d00 NewMat2d.matrix[0][0]
#define Nat2d01 NewMat2d.matrix[0][1]
#define Nat2d10 NewMat2d.matrix[1][0]
#define Nat2d11 NewMat2d.matrix[1][1]
#define Oat2d00 Other.matrix[0][0]
#define Oat2d01 Other.matrix[0][1]
#define Oat2d10 Other.matrix[1][0]
#define Oat2d11 Other.matrix[1][1]
inline gp_Mat2d::gp_Mat2d ()
{
Mat2d00 = Mat2d01 = Mat2d10 = Mat2d11 = 0.0;
}
inline void gp_Mat2d::SetDiagonal (const Standard_Real X1,
const Standard_Real X2)
{
Mat2d00 = X1; Mat2d11 = X2;
}
inline void gp_Mat2d::SetIdentity ()
{
Mat2d00 = Mat2d11 = 1.0;
Mat2d01 = Mat2d10 = 0.0;
}
inline void gp_Mat2d::SetRotation (const Standard_Real Ang)
{
Standard_Real SinA = sin(Ang);
Standard_Real CosA = cos(Ang);
Mat2d00 = Mat2d11 = CosA;
Mat2d01 = -SinA;
Mat2d10 = SinA;
}
inline void gp_Mat2d::SetScale (const Standard_Real S)
{
Mat2d00 = Mat2d11 = S;
Mat2d01 = Mat2d10 = 0.0;
}
inline void gp_Mat2d::SetValue (const Standard_Integer Row,
const Standard_Integer Col,
const Standard_Real Value)
{
Standard_OutOfRange_Raise_if
(Row < 1 || Row > 2 || Col < 1 || Col > 2, " ");
matrix[Row-1][Col-1] = Value;
}
inline Standard_Real gp_Mat2d::Determinant () const
{
return Mat2d00 * Mat2d11 - Mat2d10 * Mat2d01;
}
inline const Standard_Real& gp_Mat2d::Value (const Standard_Integer Row,
const Standard_Integer Col) const
{
Standard_OutOfRange_Raise_if
(Row < 1 || Row > 2 || Col < 1 || Col > 2, " ");
return matrix[Row-1][Col-1];
}
inline Standard_Real&
gp_Mat2d::ChangeValue (const Standard_Integer Row,
const Standard_Integer Col)
{
Standard_OutOfRange_Raise_if
(Row < 1 || Row > 2 || Col < 1 || Col > 2, " ");
return matrix[Row-1][Col-1];
}
inline Standard_Boolean gp_Mat2d::IsSingular () const
{
Standard_Real det = Determinant();
if (det < 0) det = - det;
return det <= gp::Resolution();
}
inline void gp_Mat2d::Add (const gp_Mat2d& Other)
{
Mat2d00 += Oat2d00;
Mat2d01 += Oat2d01;
Mat2d10 += Oat2d10;
Mat2d11 += Oat2d11;
}
inline gp_Mat2d gp_Mat2d::Added (const gp_Mat2d& Other) const
{
gp_Mat2d NewMat2d;
Nat2d00 = Mat2d00 + Oat2d00;
Nat2d01 = Mat2d01 + Oat2d01;
Nat2d10 = Mat2d10 + Oat2d10;
Nat2d11 = Mat2d11 + Oat2d11;
return NewMat2d;
}
inline void gp_Mat2d::Divide (const Standard_Real Scalar)
{
Mat2d00 /= Scalar;
Mat2d01 /= Scalar;
Mat2d10 /= Scalar;
Mat2d11 /= Scalar;
}
inline gp_Mat2d gp_Mat2d::Divided (const Standard_Real Scalar) const
{
gp_Mat2d NewMat2d;
Nat2d00 = Mat2d00 / Scalar;
Nat2d01 = Mat2d01 / Scalar;
Nat2d10 = Mat2d10 / Scalar;
Nat2d11 = Mat2d11 / Scalar;
return NewMat2d;
}
inline gp_Mat2d gp_Mat2d::Inverted () const
{
gp_Mat2d NewMat = *this;
NewMat.Invert();
return NewMat;
}
inline gp_Mat2d gp_Mat2d::Multiplied (const gp_Mat2d& Other) const
{
gp_Mat2d NewMat2d = *this;
NewMat2d.Multiply(Other);
return NewMat2d;
}
inline void gp_Mat2d::Multiply (const gp_Mat2d& Other)
{
Standard_Real T00,T10;
T00 = Mat2d00 * Oat2d00 + Mat2d01 * Oat2d10;
T10 = Mat2d10 * Oat2d00 + Mat2d11 * Oat2d10;
Mat2d01 = Mat2d00 * Oat2d01 + Mat2d01 * Oat2d11;
Mat2d11 = Mat2d10 * Oat2d01 + Mat2d11 * Oat2d11;
Mat2d00 = T00;
Mat2d10 = T10;
}
inline void gp_Mat2d::PreMultiply (const gp_Mat2d& Other)
{
Standard_Real T00,T01;
T00 = Oat2d00 * Mat2d00 + Oat2d01 * Mat2d10;
Mat2d10 = Oat2d10 * Mat2d00 + Oat2d11 * Mat2d10;
T01 = Oat2d00 * Mat2d01 + Oat2d01 * Mat2d11;
Mat2d11 = Oat2d10 * Mat2d01 + Oat2d11 * Mat2d11;
Mat2d00 = T00;
Mat2d01 = T01;
}
inline gp_Mat2d gp_Mat2d::Multiplied (const Standard_Real Scalar) const
{
gp_Mat2d NewMat2d;
Nat2d00 = Mat2d00 * Scalar;
Nat2d01 = Mat2d01 * Scalar;
Nat2d10 = Mat2d10 * Scalar;
Nat2d11 = Mat2d11 * Scalar;
return NewMat2d;
}
inline void gp_Mat2d::Multiply (const Standard_Real Scalar)
{
Mat2d00 *= Scalar;
Mat2d01 *= Scalar;
Mat2d10 *= Scalar;
Mat2d11 *= Scalar;
}
inline gp_Mat2d gp_Mat2d::Powered (const Standard_Integer N) const
{
gp_Mat2d Mat2dN = *this;
Mat2dN.Power (N);
return Mat2dN;
}
inline void gp_Mat2d::Subtract (const gp_Mat2d& Other)
{
Mat2d00 -= Oat2d00;
Mat2d01 -= Oat2d01;
Mat2d10 -= Oat2d10;
Mat2d11 -= Oat2d11;
}
inline gp_Mat2d gp_Mat2d::Subtracted (const gp_Mat2d& Other) const
{
gp_Mat2d NewMat2d;
Nat2d00 = Mat2d00 - Oat2d00;
Nat2d01 = Mat2d01 - Oat2d01;
Nat2d10 = Mat2d10 - Oat2d10;
Nat2d11 = Mat2d11 - Oat2d11;
return NewMat2d;
}
inline void gp_Mat2d::Transpose ()
{
Standard_Real Temp;
Temp = Mat2d01;
Mat2d01 = Mat2d10;
Mat2d10 = Temp;
}
inline gp_Mat2d gp_Mat2d::Transposed () const
{
gp_Mat2d NewMat2d;
Nat2d10 = Mat2d01;
Nat2d01 = Mat2d10;
Nat2d00 = Mat2d00;
Nat2d11 = Mat2d11;
return NewMat2d;
}
inline gp_Mat2d operator* (const Standard_Real Scalar,
const gp_Mat2d& Mat2D)
{ return Mat2D.Multiplied (Scalar); }
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