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---Copyright: Matra Datavision 1991, 1992
class XY from gp inherits Storable
--- Purpose :
-- 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.
uses Mat2d from gp
raises ConstructionError from Standard,
OutOfRange from Standard
is
Create returns XY;
---C++: inline
--- Purpose : Creates XY object with zero coordinates (0,0).
Create (X, Y : Real) returns XY;
---C++: inline
--- Purpose : a number pair defined by the XY coordinates
SetCoord (me : in out; Index : Integer; Xi : Real)
---C++: inline
--- Purpose :
-- modifies the coordinate of range Index
-- Index = 1 => X is modified
-- Index = 2 => Y is modified
-- Raises OutOfRange if Index != {1, 2}.
raises OutOfRange
is static;
SetCoord (me : in out; X, Y : Real) is static;
---C++: inline
---Purpose: For this number pair, assigns
-- the values X and Y to its coordinates
SetX (me: in out; X : Real) is static;
---C++: inline
---Purpose: Assigns the given value to the X coordinate of this number pair.
SetY (me: in out; Y : Real) is static;
---C++: inline
---Purpose: Assigns the given value to the Y coordinate of this number pair.
Coord (me; Index : Integer) returns Real
---C++: inline
--- Purpose :
-- returns the coordinate of range Index :
-- Index = 1 => X is returned
-- Index = 2 => Y is returned
-- Raises OutOfRange if Index != {1, 2}.
raises OutOfRange
is static;
Coord (me; X, Y : out Real) is static;
---C++: inline
---Purpose: For this number pair, returns its coordinates X and Y.
X (me) returns Real is static;
---C++: inline
---Purpose: Returns the X coordinate of this number pair.
Y (me) returns Real is static;
---C++: inline
---Purpose: Returns the Y coordinate of this number pair.
Modulus (me) returns Real is static;
---C++: inline
--- Purpose : Computes Sqrt (X*X + Y*Y) where X and Y are the two coordinates of this number pair.
SquareModulus (me) returns Real is static;
--- Purpose : Computes X*X + Y*Y where X and Y are the two coordinates of this number pair.
---C++: inline
IsEqual (me; Other : XY; Tolerance : Real) returns Boolean
is static;
--- Purpose :
-- 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
--- Purpose : computations
Add (me : in out; Other : XY) is static;
--- Purposes : Computes the sum of this number pair and number pair Other
-- <me>.X() = <me>.X() + Other.X()
-- <me>.Y() = <me>.Y() + Other.Y()
---C++: inline
---C++: alias operator +=
Added (me; Other : XY) returns XY is static;
---C++: inline
--- Purpose: Computes the sum of this number pair and number pair Other
-- new.X() = <me>.X() + Other.X()
-- new.Y() = <me>.Y() + Other.Y()
---C++: alias operator +
Crossed (me; Right : XY) returns Real is static;
--- Purposes :
-- Real D = <me>.X() * Other.Y() - <me>.Y() * Other.X()
---C++: alias operator ^
---C++: inline
CrossMagnitude (me; Right : XY) returns Real is static;
--- Purpose :
-- computes the magnitude of the cross product between <me> and
-- Right. Returns || <me> ^ Right ||
---C++: inline
CrossSquareMagnitude (me; Right : XY) returns Real is static;
--- Purpose :
-- computes the square magnitude of the cross product between <me> and
-- Right. Returns || <me> ^ Right ||**2
---C++: inline
Divide (me : in out; Scalar : Real)
--- Purpose : divides <me> by a real.
---C++: inline
---C++: alias operator /=
is static;
Divided (me; Scalar : Real) returns XY is static;
---C++:inline
--- Purpose : Divides <me> by a real.
---C++: alias operator /
Dot (me; Other : XY) returns Real is static;
--- Purpose : Computes the scalar product between <me> and Other
---C++: inline
---C++: alias operator *
Multiply (me : in out; Scalar : Real) is static;
--- Purpose :
-- <me>.X() = <me>.X() * Scalar;
-- <me>.Y() = <me>.Y() * Scalar;
---C++: inline
---C++: alias operator *=
Multiply (me : in out; Other : XY) is static;
--- Purpose :
-- <me>.X() = <me>.X() * Other.X();
-- <me>.Y() = <me>.Y() * Other.Y();
---C++: inline
---C++: alias operator *=
Multiply (me : in out; Matrix : Mat2d)
--- Purpose : <me> = Matrix * <me>
---C++: inline
---C++: alias operator *=
is static;
Multiplied (me; Scalar : Real) returns XY is static;
---C++:inline
--- Purpose :
-- New.X() = <me>.X() * Scalar;
-- New.Y() = <me>.Y() * Scalar;
---C++: alias operator *
Multiplied (me; Other : XY) returns XY is static;
---C++:inline
--- Purpose :
-- new.X() = <me>.X() * Other.X();
-- new.Y() = <me>.Y() * Other.Y();
Multiplied (me; Matrix : Mat2d) returns XY is static;
--- Purpose : New = Matrix * <me>
---C++:inline
---C++: alias operator *
Normalize (me : in out)
---C++: inline
--- Purpose :
-- <me>.X() = <me>.X()/ <me>.Modulus()
-- <me>.Y() = <me>.Y()/ <me>.Modulus()
-- Raises ConstructionError if <me>.Modulus() <= Resolution from gp
raises ConstructionError
is static;
Normalized (me) returns XY
---C++: inline
--- Purpose :
-- New.X() = <me>.X()/ <me>.Modulus()
-- New.Y() = <me>.Y()/ <me>.Modulus()
-- Raises ConstructionError if <me>.Modulus() <= Resolution from gp
raises ConstructionError
is static;
Reverse (me : in out) is static;
--- Purpose :
-- <me>.X() = -<me>.X()
-- <me>.Y() = -<me>.Y()
---C++: inline
Reversed (me) returns XY is static;
--- Purpose :
-- New.X() = -<me>.X()
-- New.Y() = -<me>.Y()
---C++: inline
---C++: alias operator -
SetLinearForm (me : in out; A1 : Real; XY1 : XY; A2 : Real; XY2 : XY)
is static;
--- Purpose :
-- Computes the following linear combination and
-- assigns the result to this number pair:
-- A1 * XY1 + A2 * XY2
---C++: inline
SetLinearForm (me : in out;
A1 : Real; XY1 : XY; A2 : Real; XY2 : XY; XY3 : XY)
is static;
--- Purpose :
-- -- Computes the following linear combination and
-- assigns the result to this number pair:
-- A1 * XY1 + A2 * XY2 + XY3
---C++: inline
SetLinearForm (me : in out; A1 : Real; XY1 : XY; XY2 : XY)
is static;
--- Purpose :
-- Computes the following linear combination and
-- assigns the result to this number pair:
-- A1 * XY1 + XY2
---C++: inline
SetLinearForm (me : in out; XY1, XY2 : XY)
is static;
--- Purpose :
-- Computes the following linear combination and
-- assigns the result to this number pair:
-- XY1 + XY2
---C++: inline
Subtract (me : in out; Right : XY) is static;
--- Purpose :
-- <me>.X() = <me>.X() - Other.X()
-- <me>.Y() = <me>.Y() - Other.Y()
---C++: inline
---C++: alias operator -=
Subtracted (me; Right : XY) returns XY is static;
--- Purpose :
-- new.X() = <me>.X() - Other.X()
-- new.Y() = <me>.Y() - Other.Y()
---C++: inline
---C++: alias operator -
fields
x : Real;
y : Real;
end;
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