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// File gp_XYZ.lxx, JCV 05/12/90
// LPA et JCV 07/92
#include <gp.hxx>
#include <gp_Mat.hxx>
#include <Standard_ConstructionError.hxx>
#include <Standard_OutOfRange.hxx>
inline gp_XYZ::gp_XYZ () : x(0.), y(0.), z(0.) { }
inline gp_XYZ::gp_XYZ (const Standard_Real X,
const Standard_Real Y,
const Standard_Real Z) : x(X),y(Y),z(Z) { }
inline void gp_XYZ::SetCoord (const Standard_Real X,
const Standard_Real Y,
const Standard_Real Z)
{ x = X; y = Y; z = Z; }
inline void gp_XYZ::SetCoord (const Standard_Integer i,
const Standard_Real X) {
Standard_OutOfRange_Raise_if( i < 1 || i > 3,NULL);
(&x)[i-1] = X;
}
inline void gp_XYZ::SetX (const Standard_Real X)
{ x = X; }
inline void gp_XYZ::SetY (const Standard_Real Y)
{ y = Y; }
inline void gp_XYZ::SetZ (const Standard_Real Z)
{ z = Z; }
inline Standard_Real gp_XYZ::Coord (const Standard_Integer i) const {
Standard_OutOfRange_Raise_if( i < 1 || i > 3,NULL);
return (&x)[i-1];
}
inline void gp_XYZ::Coord (Standard_Real& X,
Standard_Real& Y,
Standard_Real& Z) const
{ X = x; Y = y; Z = z; }
inline Standard_Real gp_XYZ::X () const
{ return x; }
inline Standard_Real gp_XYZ::Y () const
{ return y; }
inline Standard_Real gp_XYZ::Z () const
{ return z; }
inline Standard_Real gp_XYZ::Modulus () const {
return sqrt (x * x + y * y + z * z);
}
inline Standard_Real gp_XYZ::SquareModulus () const {
return (x * x + y * y + z * z);
}
inline void gp_XYZ::Add (const gp_XYZ& Other)
{
x += Other.x;
y += Other.y;
z += Other.z;
}
inline gp_XYZ gp_XYZ::Added (const gp_XYZ& Other) const {
return gp_XYZ(x + Other.x,y + Other.y,z + Other.z);
}
inline void gp_XYZ::Cross (const gp_XYZ& Right)
{
Standard_Real Xresult = y * Right.z - z * Right.y;
Standard_Real Yresult = z * Right.x - x * Right.z;
z = x * Right.y - y * Right.x;
x = Xresult;
y = Yresult;
}
inline gp_XYZ gp_XYZ::Crossed (const gp_XYZ& Right) const
{
return gp_XYZ (y * Right.z - z * Right.y,
z * Right.x - x * Right.z,
x * Right.y - y * Right.x);
}
inline Standard_Real gp_XYZ::CrossMagnitude (const gp_XYZ& Right) const
{
Standard_Real Xresult = y * Right.z - z * Right.y;
Standard_Real Yresult = z * Right.x - x * Right.z;
Standard_Real Zresult = x * Right.y - y * Right.x;
return sqrt(Xresult * Xresult + Yresult * Yresult + Zresult * Zresult);
}
inline Standard_Real gp_XYZ::CrossSquareMagnitude (const gp_XYZ& Right) const
{
Standard_Real Xresult = y * Right.z - z * Right.y;
Standard_Real Yresult = z * Right.x - x * Right.z;
Standard_Real Zresult = x * Right.y - y * Right.x;
return Xresult * Xresult + Yresult * Yresult + Zresult * Zresult;
}
inline void gp_XYZ::CrossCross (const gp_XYZ& Coord1,
const gp_XYZ& Coord2)
{
Standard_Real Xresult =
y * (Coord1.x * Coord2.y - Coord1.y * Coord2.x) -
z * (Coord1.z * Coord2.x - Coord1.x * Coord2.z);
Standard_Real Yresult =
z * (Coord1.y * Coord2.z - Coord1.z * Coord2.y) -
x * (Coord1.x * Coord2.y - Coord1.y * Coord2.x);
z =
x * (Coord1.z * Coord2.x - Coord1.x * Coord2.z) -
y * (Coord1.y * Coord2.z - Coord1.z * Coord2.y);
x = Xresult;
y = Yresult;
}
inline gp_XYZ gp_XYZ::CrossCrossed (const gp_XYZ& Coord1,
const gp_XYZ& Coord2) const
{
gp_XYZ Coord0 = *this;
Coord0.CrossCross (Coord1, Coord2);
return Coord0;
}
inline void gp_XYZ::Divide (const Standard_Real Scalar)
{
x /= Scalar;
y /= Scalar;
z /= Scalar;
}
inline gp_XYZ gp_XYZ::Divided (const Standard_Real Scalar) const {
return gp_XYZ(x / Scalar,y / Scalar,z / Scalar);
}
inline Standard_Real gp_XYZ::Dot (const gp_XYZ& Other) const {
return(x * Other.x + y * Other.y + z * Other.z);
}
inline Standard_Real gp_XYZ::DotCross (const gp_XYZ& Coord1,
const gp_XYZ& Coord2) const
{
Standard_Real Xresult = Coord1.y * Coord2.z - Coord1.z * Coord2.y;
Standard_Real Yresult = Coord1.z * Coord2.x - Coord1.x * Coord2.z;
Standard_Real Zresult = Coord1.x * Coord2.y - Coord1.y * Coord2.x;
return ( x * Xresult + y * Yresult + z * Zresult);
}
inline void gp_XYZ::Multiply (const Standard_Real Scalar)
{
x *= Scalar;
y *= Scalar;
z *= Scalar;
}
inline void gp_XYZ::Multiply (const gp_XYZ& Other)
{
x *= Other.x;
y *= Other.y;
z *= Other.z;
}
inline void gp_XYZ::Multiply (const gp_Mat& Matrix)
{
Standard_Real Xresult = Matrix.matrix[0][0] * x + Matrix.matrix[0][1] * y + Matrix.matrix[0][2] * z;
Standard_Real Yresult = Matrix.matrix[1][0] * x + Matrix.matrix[1][1] * y + Matrix.matrix[1][2] * z;
z = Matrix.matrix[2][0] * x + Matrix.matrix[2][1] * y + Matrix.matrix[2][2] * z;
x = Xresult;
y = Yresult;
}
inline gp_XYZ gp_XYZ::Multiplied (const Standard_Real Scalar) const {
return gp_XYZ(x * Scalar,y * Scalar,z * Scalar);
}
inline gp_XYZ gp_XYZ::Multiplied (const gp_XYZ& Other) const {
return gp_XYZ(x * Other.x, y * Other.y, z * Other.z);
}
inline gp_XYZ gp_XYZ::Multiplied (const gp_Mat& Matrix) const
{
return gp_XYZ (Matrix.matrix[0][0] * x + Matrix.matrix[0][1] * y + Matrix.matrix[0][2] * z,
Matrix.matrix[1][0] * x + Matrix.matrix[1][1] * y + Matrix.matrix[1][2] * z,
Matrix.matrix[2][0] * x + Matrix.matrix[2][1] * y + Matrix.matrix[2][2] * z);
}
inline void gp_XYZ::Normalize ()
{
Standard_Real D = Modulus();
Standard_ConstructionError_Raise_if (D <= gp::Resolution(), "");
x = x / D; y = y / D; z = z / D;
}
inline gp_XYZ gp_XYZ::Normalized () const
{
Standard_Real D = Modulus();
Standard_ConstructionError_Raise_if (D <= gp::Resolution(), "");
return gp_XYZ (x / D, y / D, z / D);
}
inline void gp_XYZ::Reverse ()
{
x = - x;
y = - y;
z = - z;
}
inline gp_XYZ gp_XYZ::Reversed () const
{
return gp_XYZ(-x, -y, -z);
}
inline void gp_XYZ::Subtract (const gp_XYZ& Right)
{
x-=Right.x;
y-=Right.y;
z-=Right.z;
}
inline gp_XYZ gp_XYZ::Subtracted (const gp_XYZ& Right) const
{
return gp_XYZ(x - Right.x, y - Right.y, z - Right.z);
}
inline void gp_XYZ::SetLinearForm (const Standard_Real L,
const gp_XYZ& Left,
const Standard_Real R,
const gp_XYZ& Right) {
x = L * Left.x + R * Right.x;
y = L * Left.y + R * Right.y;
z = L * Left.z + R * Right.z;
}
inline void gp_XYZ::SetLinearForm(const Standard_Real L,
const gp_XYZ& Left,
const gp_XYZ& Right) {
x = L * Left.x + Right.x;
y = L * Left.y + Right.y;
z = L * Left.z + Right.z;
}
inline void gp_XYZ::SetLinearForm (const gp_XYZ& Left, const gp_XYZ& Right) {
x = Left.x + Right.x;
y = Left.y + Right.y;
z = Left.z + Right.z;
}
inline void gp_XYZ::SetLinearForm (const Standard_Real A1, const gp_XYZ& XYZ1,
const Standard_Real A2, const gp_XYZ& XYZ2,
const Standard_Real A3, const gp_XYZ& XYZ3) {
x = A1 * XYZ1.x + A2 * XYZ2.x + A3 * XYZ3.x;
y = A1 * XYZ1.y + A2 * XYZ2.y + A3 * XYZ3.y;
z = A1 * XYZ1.z + A2 * XYZ2.z + A3 * XYZ3.z;
}
inline void gp_XYZ::SetLinearForm (const Standard_Real A1, const gp_XYZ& XYZ1,
const Standard_Real A2, const gp_XYZ& XYZ2,
const gp_XYZ& XYZ3) {
x = A1 * XYZ1.x + A2 * XYZ2.x + XYZ3.x;
y = A1 * XYZ1.y + A2 * XYZ2.y + XYZ3.y;
z = A1 * XYZ1.z + A2 * XYZ2.z + XYZ3.z;
}
inline void gp_XYZ::SetLinearForm (const Standard_Real A1, const gp_XYZ& XYZ1,
const Standard_Real A2, const gp_XYZ& XYZ2,
const Standard_Real A3, const gp_XYZ& XYZ3,
const gp_XYZ& XYZ4) {
x = A1 * XYZ1.x + A2 * XYZ2.x + A3 * XYZ3.x + XYZ4.x;
y = A1 * XYZ1.y + A2 * XYZ2.y + A3 * XYZ3.y + XYZ4.y;
z = A1 * XYZ1.z + A2 * XYZ2.z + A3 * XYZ3.z + XYZ4.z;
}
inline gp_XYZ operator* (const gp_Mat& Matrix, const gp_XYZ& Coord1) {
return Coord1.Multiplied (Matrix);
}
inline gp_XYZ operator* (const Standard_Real Scalar, const gp_XYZ& Coord1) {
return Coord1.Multiplied (Scalar);
}
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