Struct ModOp2D

A 2-dimensional modification operation implemented as a homogenous matix 3*2. You can apply such modificaion to GeoVector2D and GeoPoint2D points or to ICurve2D implementing objects.

Implements

System.Runtime.Serialization.ISerializable

Inherited Members

System.ValueType.Equals(System.Object)

System.ValueType.GetHashCode()

System.ValueType.ToString()

System.Object.Equals(System.Object, System.Object)

System.Object.GetType()

System.Object.ReferenceEquals(System.Object, System.Object)

Namespace: CADability

Assembly: CADability.dll

Syntax

[Serializable]
public struct ModOp2D : ISerializable

Constructors

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ModOp2D(Double, Double, Double, Double, Double, Double)

Creates a modification according to the given coefficients

Declaration

public ModOp2D(double Matrix00, double Matrix01, double Matrix02, double Matrix10, double Matrix11, double Matrix12)

Parameters

Type	Name	Description
System.Double	Matrix00
System.Double	Matrix01
System.Double	Matrix02
System.Double	Matrix10
System.Double	Matrix11
System.Double	Matrix12

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ModOp2D(Double[,])

Declaration

public ModOp2D(double[, ] m)

Parameters

Type	Name	Description
System.Double[,]	m

Properties

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Determinant

Gets the determinant of this modification

Declaration

public double Determinant { get; }

Property Value

Type	Description
System.Double

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Factor

Returns the scaling factor of this modification

Declaration

public double Factor { get; }

Property Value

Type	Description
System.Double

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Identity

Creates a modification which is the identity

Declaration

public static ModOp2D Identity { get; }

Property Value

Type	Description
ModOp2D

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IsIdentity

Returns true, if this modification is the identity.

Declaration

public bool IsIdentity { get; }

Property Value

Type	Description
System.Boolean

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IsIsogonal

Declaration

public bool IsIsogonal { get; }

Property Value

Type	Description
System.Boolean

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IsNull

Declaration

public bool IsNull { get; }

Property Value

Type	Description
System.Boolean

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Item[Int32, Int32]

Declaration

public double this[int i, int j] { get; set; }

Parameters

Type	Name	Description
System.Int32	i
System.Int32	j

Property Value

Type	Description
System.Double

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Matrix

Gets or sets the 3*2 Matrix that defines this mmodification

Declaration

public double[, ] Matrix { get; set; }

Property Value

Type	Description
System.Double[,]

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Matrix2D

Declaration

public Matrix Matrix2D { get; }

Property Value

Type	Description
System.Drawing.Drawing2D.Matrix	Returns the System.Drawing.Drawing2D.Matrix object equivalent to this modification.

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Null

Creates a modification which is null, i.e. no valid ModOp2D

Declaration

public static ModOp2D Null { get; }

Property Value

Type	Description
ModOp2D

Methods

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Fit(GeoPoint2D[], GeoPoint2D[], Boolean)

Constructs a modification, that transforms the Src points to the Dst points. The length of Src and Dst must be equal and less than 4. If the length is 1, the resulting ModOp is a translation, if the length is 2, the parameter DoScale decides whether the resulting ModOp is a translation and rotation (DoScale==false) or translation, rotation and scaling (DoScale==true). If the length is 3, the resulting modification is any kind of an affinity, that projects the src points to the dst points.

Declaration

public static ModOp2D Fit(GeoPoint2D[] Src, GeoPoint2D[] Dst, bool DoScale)

Parameters

Type	Name	Description
GeoPoint2D[]	Src	source points
GeoPoint2D[]	Dst	destination points
System.Boolean	DoScale	scaling if two point pairs are given

Returns

Type	Description
ModOp2D	resulting transformation

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Fit(GeoVector2D[], GeoVector2D[])

Constructs a modification, that transforms the src vectors to the dst vectors. The length of src and dst must be 2. The resulting modification is any kind of an affinity, that projects the src vectors to the dst vectors. The origin (0,0) remains fixed.

Declaration

public static ModOp2D Fit(GeoVector2D[] src, GeoVector2D[] dst)

Parameters

Type	Name	Description
GeoVector2D[]	src	source vectors
GeoVector2D[]	dst	destination vectors

Returns

Type	Description
ModOp2D	resulting transformation

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GetInverse()

Returns the inverse of this modification.

Declaration

public ModOp2D GetInverse()

Returns

Type	Description
ModOp2D	inverse

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IsAlmostIdentity(Double)

Declaration

public bool IsAlmostIdentity(double precision)

Parameters

Type	Name	Description
System.Double	precision

Returns

Type	Description
System.Boolean

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PlaneToplane(Plane, Plane)

Returns a 2d modification, that transforms from the coordinate system of the first plane to the coordinate system of the second plane. If the planes ar not coincident, the first plane is projected onto the second plane.

Declaration

public static ModOp2D PlaneToplane(Plane FromPlane, Plane ToPlane)

Parameters

Type	Name	Description
Plane	FromPlane	Source plane
Plane	ToPlane	Destination plane

Returns

Type	Description
ModOp2D	See above

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Rotate(GeoPoint2D, SweepAngle)

Creates a rotation about a fixpoint

Declaration

public static ModOp2D Rotate(GeoPoint2D Center, SweepAngle Rotation)

Parameters

Type	Name	Description
GeoPoint2D	Center	the fixpoint
SweepAngle	Rotation	the rotation angle

Returns

Type	Description
ModOp2D	resulting modification

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Rotate(SweepAngle)

Creates a rotation about the origin

Declaration

public static ModOp2D Rotate(SweepAngle Rotation)

Parameters

Type	Name	Description
SweepAngle	Rotation	the rotation angle

Returns

Type	Description
ModOp2D	resulting modification

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Scale(GeoPoint2D, Double)

Declaration

public static ModOp2D Scale(GeoPoint2D center, double factor)

Parameters

Type	Name	Description
GeoPoint2D	center
System.Double	factor

Returns

Type	Description
ModOp2D

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Scale(GeoPoint2D, Double, Double)

Declaration

public static ModOp2D Scale(GeoPoint2D center, double factorx, double factory)

Parameters

Type	Name	Description
GeoPoint2D	center
System.Double	factorx
System.Double	factory

Returns

Type	Description
ModOp2D

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Scale(Double)

Declaration

public static ModOp2D Scale(double factor)

Parameters

Type	Name	Description
System.Double	factor

Returns

Type	Description
ModOp2D

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Scale(Double, Double)

Declaration

public static ModOp2D Scale(double factorx, double factory)

Parameters

Type	Name	Description
System.Double	factorx
System.Double	factory

Returns

Type	Description
ModOp2D

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To3D()

Declaration

public ModOp To3D()

Returns

Type	Description
ModOp

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Translate(GeoVector2D)

Creates a translation

Declaration

public static ModOp2D Translate(GeoVector2D offset)

Parameters

Type	Name	Description
GeoVector2D	offset	offset vector

Returns

Type	Description
ModOp2D	resulting modification

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Translate(Double, Double)

Creates a translation

Declaration

public static ModOp2D Translate(double dx, double dy)

Parameters

Type	Name	Description
System.Double	dx	x-offset
System.Double	dy	y-offset

Returns

Type	Description
ModOp2D	resulting modification

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XYPart(ModOp)

Returns a 2d ModOp which represents the 2d part of a 3d ModOp.

Declaration

public static ModOp2D XYPart(ModOp m)

Parameters

Type	Name	Description
ModOp	m	3d ModOp

Returns

Type	Description
ModOp2D	2d ModOp

Operators

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Multiply(ModOp2D, GeoPoint2D)

Modifies the given point by this modification.

Declaration

public static GeoPoint2D operator *(ModOp2D m, GeoPoint2D p)

Parameters

Type	Name	Description
ModOp2D	m	modification
GeoPoint2D	p	point

Returns

Type	Description
GeoPoint2D	modified point

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Multiply(ModOp2D, GeoVector2D)

Modifies the given vector by this modification

Declaration

public static GeoVector2D operator *(ModOp2D m, GeoVector2D v)

Parameters

Type	Name	Description
ModOp2D	m	modification
GeoVector2D	v	vector

Returns

Type	Description
GeoVector2D	modified vector

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Multiply(ModOp2D, ModOp2D)

Combines two modification into one modification. If two modifications have to be applied to several GeoPoint2Ds or GeoVector2Ds it is faster to use the combination.

Declaration

public static ModOp2D operator *(ModOp2D lhs, ModOp2D rhs)

Parameters

Type	Name	Description
ModOp2D	lhs	second modification
ModOp2D	rhs	first modification

Returns

Type	Description
ModOp2D	the combination

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Multiply(ModOp2D, Double)

Multiplies the double value by the scaling factor of this modification

Declaration

public static double operator *(ModOp2D m, double d)

Parameters

Type	Name	Description
ModOp2D	m	modification
System.Double	d	input value

Returns

Type	Description
System.Double	modified value

Explicit Interface Implementations

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ISerializable.GetObjectData(SerializationInfo, StreamingContext)

Declaration

void ISerializable.GetObjectData(SerializationInfo info, StreamingContext context)

Parameters

Type	Name	Description
System.Runtime.Serialization.SerializationInfo	info
System.Runtime.Serialization.StreamingContext	context

Implements

System.Runtime.Serialization.ISerializable