This class describes a cartesian coordinate entity in 2D space {X,Y}. This class is non persistent. This entity used for algebraic calculation. An XY can be transformed with a Trsf2d or a GTrsf2d from package gp. It is used in vectorial computations or for holding this type of information in data structures.
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| gp_XY () |
| Creates XY object with zero coordinates (0,0). More...
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| gp_XY (const Standard_Real X, const Standard_Real Y) |
| a number pair defined by the XY 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 Raises OutOfRange if Index != {1, 2}. More...
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void | SetCoord (const Standard_Real X, const Standard_Real Y) |
| For this number pair, assigns the values X and Y to its coordinates. More...
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void | SetX (const Standard_Real X) |
| Assigns the given value to the X coordinate of this number pair. More...
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void | SetY (const Standard_Real Y) |
| Assigns the given value to the Y coordinate of this number pair. 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 Raises OutOfRange if Index != {1, 2}. More...
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Standard_Real & | ChangeCoord (const Standard_Integer theIndex) |
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void | Coord (Standard_Real &X, Standard_Real &Y) const |
| For this number pair, returns its coordinates X and Y. More...
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Standard_Real | X () const |
| Returns the X coordinate of this number pair. More...
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Standard_Real | Y () const |
| Returns the Y coordinate of this number pair. More...
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Standard_Real | Modulus () const |
| Computes Sqrt (X*X + Y*Y) where X and Y are the two coordinates of this number pair. More...
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Standard_Real | SquareModulus () const |
| Computes X*X + Y*Y where X and Y are the two coordinates of this number pair. More...
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Standard_Boolean | IsEqual (const gp_XY &Other, const Standard_Real Tolerance) const |
| Returns true if the coordinates of this number pair are equal to the respective coordinates of the number pair Other, within the specified tolerance Tolerance. I.e.: abs(<me>.X() - Other.X()) <= Tolerance and abs(<me>.Y() - Other.Y()) <= Tolerance and computations. More...
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void | Add (const gp_XY &Other) |
| Computes the sum of this number pair and number pair Other <me>.X() = <me>.X() + Other.X() <me>.Y() = <me>.Y() + Other.Y() More...
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void | operator+= (const gp_XY &Other) |
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gp_XY | Added (const gp_XY &Other) const |
| Computes the sum of this number pair and number pair Other new.X() = <me>.X() + Other.X() new.Y() = <me>.Y() + Other.Y() More...
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gp_XY | operator+ (const gp_XY &Other) const |
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Standard_Real | Crossed (const gp_XY &Right) const |
| Real D = <me>.X() * Other.Y() - <me>.Y() * Other.X() More...
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Standard_Real | operator^ (const gp_XY &Right) const |
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Standard_Real | CrossMagnitude (const gp_XY &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_XY &Right) const |
| computes the square magnitude of the cross product between <me> and Right. Returns || <me> ^ Right ||**2 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_XY | Divided (const Standard_Real Scalar) const |
| Divides <me> by a real. More...
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gp_XY | operator/ (const Standard_Real Scalar) const |
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Standard_Real | Dot (const gp_XY &Other) const |
| Computes the scalar product between <me> and Other. More...
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Standard_Real | operator* (const gp_XY &Other) const |
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void | Multiply (const Standard_Real Scalar) |
| <me>.X() = <me>.X() * Scalar; <me>.Y() = <me>.Y() * Scalar; More...
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void | operator*= (const Standard_Real Scalar) |
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void | Multiply (const gp_XY &Other) |
| <me>.X() = <me>.X() * Other.X(); <me>.Y() = <me>.Y() * Other.Y(); More...
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void | operator*= (const gp_XY &Other) |
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void | Multiply (const gp_Mat2d &Matrix) |
| <me> = Matrix * <me> More...
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void | operator*= (const gp_Mat2d &Matrix) |
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gp_XY | Multiplied (const Standard_Real Scalar) const |
| New.X() = <me>.X() * Scalar; New.Y() = <me>.Y() * Scalar;. More...
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gp_XY | operator* (const Standard_Real Scalar) const |
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gp_XY | Multiplied (const gp_XY &Other) const |
| new.X() = <me>.X() * Other.X(); new.Y() = <me>.Y() * Other.Y(); More...
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gp_XY | Multiplied (const gp_Mat2d &Matrix) const |
| New = Matrix * <me> More...
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gp_XY | operator* (const gp_Mat2d &Matrix) const |
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void | Normalize () |
| <me>.X() = <me>.X()/ <me>.Modulus() <me>.Y() = <me>.Y()/ <me>.Modulus() Raises ConstructionError if <me>.Modulus() <= Resolution from gp More...
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gp_XY | Normalized () const |
| New.X() = <me>.X()/ <me>.Modulus() New.Y() = <me>.Y()/ <me>.Modulus() Raises ConstructionError if <me>.Modulus() <= Resolution from gp. More...
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void | Reverse () |
| <me>.X() = -<me>.X() <me>.Y() = -<me>.Y() More...
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gp_XY | Reversed () const |
| New.X() = -<me>.X() New.Y() = -<me>.Y() More...
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gp_XY | operator- () const |
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void | SetLinearForm (const Standard_Real A1, const gp_XY &XY1, const Standard_Real A2, const gp_XY &XY2) |
| Computes the following linear combination and assigns the result to this number pair: A1 * XY1 + A2 * XY2. More...
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void | SetLinearForm (const Standard_Real A1, const gp_XY &XY1, const Standard_Real A2, const gp_XY &XY2, const gp_XY &XY3) |
| – Computes the following linear combination and assigns the result to this number pair: A1 * XY1 + A2 * XY2 + XY3 More...
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void | SetLinearForm (const Standard_Real A1, const gp_XY &XY1, const gp_XY &XY2) |
| Computes the following linear combination and assigns the result to this number pair: A1 * XY1 + XY2. More...
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void | SetLinearForm (const gp_XY &XY1, const gp_XY &XY2) |
| Computes the following linear combination and assigns the result to this number pair: XY1 + XY2. More...
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void | Subtract (const gp_XY &Right) |
| <me>.X() = <me>.X() - Other.X() <me>.Y() = <me>.Y() - Other.Y() More...
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void | operator-= (const gp_XY &Right) |
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gp_XY | Subtracted (const gp_XY &Right) const |
| new.X() = <me>.X() - Other.X() new.Y() = <me>.Y() - Other.Y() More...
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gp_XY | operator- (const gp_XY &Right) const |
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This class describes a cartesian coordinate entity in 2D space {X,Y}. This class is non persistent. This entity used for algebraic calculation. An XY can be transformed with a Trsf2d or a GTrsf2d from package gp. It is used in vectorial computations or for holding this type of information in data structures.