This class describes a cartesian coordinate entity in 3D space {X,Y,Z}. This entity is used for algebraic calculation. This entity can be transformed with a "Trsf" or a "GTrsf" from package "gp". It is used in vectorial computations or for holding this type of information in data structures.
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| gp_XYZ () |
| Creates an XYZ object with zero co-ordinates (0,0,0) More...
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| gp_XYZ (const Standard_Real X, const Standard_Real Y, const Standard_Real Z) |
| creates an XYZ with given coordinates More...
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void | SetCoord (const Standard_Real X, const Standard_Real Y, const Standard_Real Z) |
| For this XYZ object, assigns the values X, Y and Z to its three coordinates. More...
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void | SetCoord (const Standard_Integer Index, const Standard_Real Xi) |
| modifies the coordinate of range Index Index = 1 => X is modified Index = 2 => Y is modified Index = 3 => Z is modified Raises OutOfRange if Index != {1, 2, 3}. More...
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void | SetX (const Standard_Real X) |
| Assigns the given value to the X coordinate. More...
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void | SetY (const Standard_Real Y) |
| Assigns the given value to the Y coordinate. More...
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void | SetZ (const Standard_Real Z) |
| Assigns the given value to the Z coordinate. More...
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Standard_Real | Coord (const Standard_Integer Index) const |
| returns the coordinate of range Index : Index = 1 => X is returned Index = 2 => Y is returned Index = 3 => Z is returned More...
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Standard_Real & | ChangeCoord (const Standard_Integer theIndex) |
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void | Coord (Standard_Real &X, Standard_Real &Y, Standard_Real &Z) const |
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const Standard_Real * | GetData () const |
| Returns a const ptr to coordinates location. Is useful for algorithms, but DOES NOT PERFORM ANY CHECKS! More...
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Standard_Real * | ChangeData () |
| Returns a ptr to coordinates location. Is useful for algorithms, but DOES NOT PERFORM ANY CHECKS! More...
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Standard_Real | X () const |
| Returns the X coordinate. More...
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Standard_Real | Y () const |
| Returns the Y coordinate. More...
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Standard_Real | Z () const |
| Returns the Z coordinate. More...
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Standard_Real | Modulus () const |
| computes Sqrt (X*X + Y*Y + Z*Z) where X, Y and Z are the three coordinates of this XYZ object. More...
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Standard_Real | SquareModulus () const |
| Computes X*X + Y*Y + Z*Z where X, Y and Z are the three coordinates of this XYZ object. More...
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Standard_Boolean | IsEqual (const gp_XYZ &Other, const Standard_Real Tolerance) const |
| Returns True if he coordinates of this XYZ object are equal to the respective coordinates Other, within the specified tolerance Tolerance. I.e.: abs(<me>.X() - Other.X()) <= Tolerance and abs(<me>.Y() - Other.Y()) <= Tolerance and abs(<me>.Z() - Other.Z()) <= Tolerance. More...
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void | Add (const gp_XYZ &Other) |
| <me>.X() = <me>.X() + Other.X() <me>.Y() = <me>.Y() + Other.Y() <me>.Z() = <me>.Z() + Other.Z() More...
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void | operator+= (const gp_XYZ &Other) |
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gp_XYZ | Added (const gp_XYZ &Other) const |
| new.X() = <me>.X() + Other.X() new.Y() = <me>.Y() + Other.Y() new.Z() = <me>.Z() + Other.Z() More...
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gp_XYZ | operator+ (const gp_XYZ &Other) const |
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void | Cross (const gp_XYZ &Right) |
| <me>.X() = <me>.Y() * Other.Z() - <me>.Z() * Other.Y() <me>.Y() = <me>.Z() * Other.X() - <me>.X() * Other.Z() <me>.Z() = <me>.X() * Other.Y() - <me>.Y() * Other.X() More...
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void | operator^= (const gp_XYZ &Right) |
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gp_XYZ | Crossed (const gp_XYZ &Right) const |
| new.X() = <me>.Y() * Other.Z() - <me>.Z() * Other.Y() new.Y() = <me>.Z() * Other.X() - <me>.X() * Other.Z() new.Z() = <me>.X() * Other.Y() - <me>.Y() * Other.X() More...
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gp_XYZ | operator^ (const gp_XYZ &Right) const |
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Standard_Real | CrossMagnitude (const gp_XYZ &Right) const |
| Computes the magnitude of the cross product between <me> and Right. Returns || <me> ^ Right ||. More...
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Standard_Real | CrossSquareMagnitude (const gp_XYZ &Right) const |
| Computes the square magnitude of the cross product between <me> and Right. Returns || <me> ^ Right ||**2. More...
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void | CrossCross (const gp_XYZ &Coord1, const gp_XYZ &Coord2) |
| Triple vector product Computes <me> = <me>.Cross(Coord1.Cross(Coord2)) More...
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gp_XYZ | CrossCrossed (const gp_XYZ &Coord1, const gp_XYZ &Coord2) const |
| Triple vector product computes New = <me>.Cross(Coord1.Cross(Coord2)) More...
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void | Divide (const Standard_Real Scalar) |
| divides <me> by a real. More...
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void | operator/= (const Standard_Real Scalar) |
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gp_XYZ | Divided (const Standard_Real Scalar) const |
| divides <me> by a real. More...
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gp_XYZ | operator/ (const Standard_Real Scalar) const |
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Standard_Real | Dot (const gp_XYZ &Other) const |
| computes the scalar product between <me> and Other More...
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Standard_Real | operator* (const gp_XYZ &Other) const |
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Standard_Real | DotCross (const gp_XYZ &Coord1, const gp_XYZ &Coord2) const |
| computes the triple scalar product More...
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void | Multiply (const Standard_Real Scalar) |
| <me>.X() = <me>.X() * Scalar; <me>.Y() = <me>.Y() * Scalar; <me>.Z() = <me>.Z() * Scalar; More...
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void | operator*= (const Standard_Real Scalar) |
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void | Multiply (const gp_XYZ &Other) |
| <me>.X() = <me>.X() * Other.X(); <me>.Y() = <me>.Y() * Other.Y(); <me>.Z() = <me>.Z() * Other.Z(); More...
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void | operator*= (const gp_XYZ &Other) |
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void | Multiply (const gp_Mat &Matrix) |
| <me> = Matrix * <me> More...
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void | operator*= (const gp_Mat &Matrix) |
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gp_XYZ | Multiplied (const Standard_Real Scalar) const |
| New.X() = <me>.X() * Scalar; New.Y() = <me>.Y() * Scalar; New.Z() = <me>.Z() * Scalar;. More...
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gp_XYZ | operator* (const Standard_Real Scalar) const |
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gp_XYZ | Multiplied (const gp_XYZ &Other) const |
| new.X() = <me>.X() * Other.X(); new.Y() = <me>.Y() * Other.Y(); new.Z() = <me>.Z() * Other.Z(); More...
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gp_XYZ | Multiplied (const gp_Mat &Matrix) const |
| New = Matrix * <me> More...
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gp_XYZ | operator* (const gp_Mat &Matrix) const |
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void | Normalize () |
| <me>.X() = <me>.X()/ <me>.Modulus() <me>.Y() = <me>.Y()/ <me>.Modulus() <me>.Z() = <me>.Z()/ <me>.Modulus() Raised if <me>.Modulus() <= Resolution from gp More...
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gp_XYZ | Normalized () const |
| New.X() = <me>.X()/ <me>.Modulus() New.Y() = <me>.Y()/ <me>.Modulus() New.Z() = <me>.Z()/ <me>.Modulus() Raised if <me>.Modulus() <= Resolution from gp. More...
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void | Reverse () |
| <me>.X() = -<me>.X() <me>.Y() = -<me>.Y() <me>.Z() = -<me>.Z() More...
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gp_XYZ | Reversed () const |
| New.X() = -<me>.X() New.Y() = -<me>.Y() New.Z() = -<me>.Z() More...
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void | Subtract (const gp_XYZ &Right) |
| <me>.X() = <me>.X() - Other.X() <me>.Y() = <me>.Y() - Other.Y() <me>.Z() = <me>.Z() - Other.Z() More...
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void | operator-= (const gp_XYZ &Right) |
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gp_XYZ | Subtracted (const gp_XYZ &Right) const |
| new.X() = <me>.X() - Other.X() new.Y() = <me>.Y() - Other.Y() new.Z() = <me>.Z() - Other.Z() More...
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gp_XYZ | operator- (const gp_XYZ &Right) const |
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void | 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) |
| <me> is set to the following linear form : A1 * XYZ1 + A2 * XYZ2 + A3 * XYZ3 + XYZ4 More...
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void | 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) |
| <me> is set to the following linear form : A1 * XYZ1 + A2 * XYZ2 + A3 * XYZ3 More...
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void | SetLinearForm (const Standard_Real A1, const gp_XYZ &XYZ1, const Standard_Real A2, const gp_XYZ &XYZ2, const gp_XYZ &XYZ3) |
| <me> is set to the following linear form : A1 * XYZ1 + A2 * XYZ2 + XYZ3 More...
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void | SetLinearForm (const Standard_Real A1, const gp_XYZ &XYZ1, const Standard_Real A2, const gp_XYZ &XYZ2) |
| <me> is set to the following linear form : A1 * XYZ1 + A2 * XYZ2 More...
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void | SetLinearForm (const Standard_Real A1, const gp_XYZ &XYZ1, const gp_XYZ &XYZ2) |
| <me> is set to the following linear form : A1 * XYZ1 + XYZ2 More...
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void | SetLinearForm (const gp_XYZ &XYZ1, const gp_XYZ &XYZ2) |
| <me> is set to the following linear form : XYZ1 + XYZ2 More...
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void | DumpJson (Standard_OStream &theOStream, Standard_Integer theDepth=-1) const |
| Dumps the content of me into the stream. More...
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Standard_Boolean | InitFromJson (const Standard_SStream &theSStream, Standard_Integer &theStreamPos) |
| Inits the content of me from the stream. More...
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This class describes a cartesian coordinate entity in 3D space {X,Y,Z}. This entity is used for algebraic calculation. This entity can be transformed with a "Trsf" or a "GTrsf" from package "gp". It is used in vectorial computations or for holding this type of information in data structures.