This struct defines a two-dimensional vector of double numbers. Operators \(a+b\), \(a-b\) and \(a|b\) (Scalar product) can be used. One operand on \(a*b\), \(a/b\) (applied separate on components) can be also a double. It is also possible to raise a VectorD to a given power ( \(a^b\)). Implicit casting from Vector is supported. More...

Inheritance diagram for VectorD:

Public Member Functions
double	Abs ()
	Calculates the absolute value of this VectorD object. The absolute value corresponds with the length of the vector.

VectorD	Ceil ()
	Calculates smallest integers less than X and Y component and creates new VectorD using them.

VectorD	ComponentAbs ()
	Calculates the absolute values of both elements of the current VectorD and creates new one using them.

VectorD	Floor ()
	Calculates smallest integers greater than X and Y component and creates new VectorD using them.

double	Max ()
	returns the maximal component value

double	Min ()
	returns the minimal component value

double	Norm ()
	Calculates the norm (squared absolute value) of the present VectorD object.

void	Normalize ()
	Normalizes the present VectorD object.

VectorD	Reziprocal ()
	Calculates the reciprocals of both components of current VectorD object and returns the result as new object.

VectorD	Round ()
	Rounds both X and Y coordinate of a VectorD to an integer and creates new VectorD using them.

Vector	RoundToVector ()
	Round both X and Y to int and returns a Vector.

VectorD	Sqrt ()
	Calculates the square roots of the components of the present VectorD object and returns a new object.

override string	ToString ()
	Converts this VectorD into a string of format (X; Y).

string	ToString (int numberOfDigits)
	Converts this VectorD into a string of format (X; Y).

	VectorD (double x, double y)
	Creates a VectorD from two double values.

	VectorD (Tuple< double, double > values)
	Initializes a new instance of the VectorD struct. from a tuple of two doubles.

	VectorD (Vector vector)
	Creates a new VectorD object from an existing Vector.

	VectorD (VectorD vector)
	Creates a new VectorD object from an existing object.

Static Public Member Functions
static double	AngleBetweenVectors (VectorD vector1, VectorD vector2)
	Calculates the angle between two vectors in radian.

static bool	AreCollinear (VectorD v1, VectorD v2)
	Checks whether two VectorD objects are collinear, i.e. they are parallel or anti-parallel.

static VectorD	Max (VectorD v1, VectorD v2)
	Gets the component-wise maximum of two double vectors.

static VectorD	Min (VectorD v1, VectorD v2)
	Gets the component-wise minimum of two double vectors.

static implicit	operator PointF (VectorD vector)
	Converts a VectorD object into a System.Drawing.PointF object.

static implicit	operator SizeF (VectorD vector)
	Converts a VectorD object into a System.Drawing.SizeF object.

static implicit	operator Vector2D (VectorD vector)
	Converts a VectorD object into a System.Drawing.SizeF object.

static implicit	operator VectorD ((double x, double y) tuple)
	Converts a tuple of two doubles into a VectorD object.

static implicit	operator VectorD (PointF size)
	Converts a System.Drawing.PointF object into a VectorD object.

static implicit	operator VectorD (SizeF size)
	Converts a System.Drawing.SizeF object into a VectorD object.

static implicit	operator VectorD (Vector vector)
	Converts a Vector object to a VectorD object.

static implicit	operator VectorD (VectorL vector)
	Converts a VectorL object to a VectorD object.

static bool	operator!= (VectorD vector1, VectorD vector2)
	Compares two VectorD for inequality. The comparison will be done by comparing the values of the two x- and y- components respectively.

static VectorD	operator* (double factor, VectorD vector)
	Multiplies a VectorD objects by a double value.

static VectorD	operator* (VectorD a, VectorD b)
	Multiplies two VectorD objects.

static VectorD	operator* (VectorD vector, double factor)
	Multiplies a VectorD objects by a double value.

static VectorD	operator+ (VectorD a, VectorD b)
	Adds two VectorD objects.

static VectorD	operator- (VectorD a)
	Returns the negated argument. ()

static VectorD	operator- (VectorD a, VectorD b)
	Subtracts two VectorD objects.

static VectorD	operator/ (double number, VectorD vector)
	Performs a component wise division of a double value and a VectorD object. The result is defined as new VectorD(number / vector.X, number / vector.Y).

static VectorD	operator/ (VectorD a, VectorD b)
	Performs a component wise division of two VectorD objects.

static VectorD	operator/ (VectorD vector, double divisor)
	Performs a component wise division of a VectorD object and a double value.

static bool	operator== (VectorD vector1, VectorD vector2)
	Compares two VectorD for equality. The comparison will be done by comparing the values of the two x- and y- components respectively.

static double	operator\| (VectorD a, VectorD b)
	Calculates the scalar product of two VectorD objects.

static VectorD	Parse (string vectorDAsString)
	parse function of the VectorD class

static VectorD	Power (VectorD vector, double exp)
	Raises both components of current VectorD to the power of exp and creates new one using them.

Public Attributes
double	X
	X value of the VectorD object.

double	Y
	Y value of the VectorD object.

Static Public Attributes
static VectorD	coords
	Method which calculates the intersection of two line segments that are collinear.

static readonly VectorD	DummyVector
	A constant showing the absence of any useful direction.

static readonly VectorD	UndefinedVector
	A constant vector containing 2 Double.NaNs. Property IsUndefined can be used to check for being undefined.

static readonly VectorD	UnitVectorX
	A constant containing the unit vector in x-direction.

static readonly VectorD	UnitVectorY
	A constant containing the unit vector in y-direction.

static readonly VectorD	ZeroVector
	A constant containing the zero vector (0, 0).

Properties
bool	IsUndefined `[get]`
	Gets whether a least one component of the vector is undefined.

Detailed Description

This struct defines a two-dimensional vector of double numbers. Operators \(a+b\), \(a-b\) and \(a|b\) (Scalar product) can be used. One operand on \(a*b\), \(a/b\) (applied separate on components) can be also a double. It is also possible to raise a VectorD to a given power ( \(a^b\)). Implicit casting from Vector is supported.

Constructor & Destructor Documentation

◆ VectorD() [1/4]

VectorD	(	double	x,
		double	y )

Creates a VectorD from two double values.

Parameters

x	X value of new VectorD object.
y	Y value of new VectorD object.

◆ VectorD() [2/4]

VectorD ( Tuple< double, double > values )

Initializes a new instance of the VectorD struct. from a tuple of two doubles.

Parameters

values The tuple with the values.

◆ VectorD() [3/4]

VectorD ( VectorD vector )

Creates a new VectorD object from an existing object.

Parameters

vector The VectorD object to copy.

◆ VectorD() [4/4]

VectorD ( Vector vector )

Creates a new VectorD object from an existing Vector.

Parameters

vector The Vector object to copy.

Member Function Documentation

◆ Abs()

double Abs ( )

Calculates the absolute value of this VectorD object. The absolute value corresponds with the length of the vector.

Returns: The absolute value of the VectorD.

◆ AngleBetweenVectors()

static double AngleBetweenVectors	(	VectorD	vector1,
		VectorD	vector2 )

static

Calculates the angle between two vectors in radian.

Parameters

vector1	The first vector.
vector2	The second vector.

Returns: The angle between the two vectors in radian. NaN if one of the vectors is the zero vector.

◆ AreCollinear()

static bool AreCollinear	(	VectorD	v1,
		VectorD	v2 )

static

Checks whether two VectorD objects are collinear, i.e. they are parallel or anti-parallel.

Parameters

v1	First vector to be checked for collinearity to second vector.
v2	Second vector to be checked for collinearity to first vector.

Returns: true if v1 and v2 are collinear or a zero vector is given, otherwise false.

◆ Ceil()

VectorD Ceil ( )

Calculates smallest integers less than X and Y component and creates new VectorD using them.

Returns: Result of operation.

◆ ComponentAbs()

VectorD ComponentAbs ( )

Calculates the absolute values of both elements of the current VectorD and creates new one using them.

Returns: Result of operation.

◆ Floor()

VectorD Floor ( )

Calculates smallest integers greater than X and Y component and creates new VectorD using them.

Returns: Result of operation.

◆ Max() [1/2]

double Max ( )

returns the maximal component value

Returns

◆ Max() [2/2]

static VectorD Max	(	VectorD	v1,
		VectorD	v2 )

static

Gets the component-wise maximum of two double vectors.

Parameters

v1	first VectorD
v2	second VectorD

Returns: new VectorD with component-wise maximum

◆ Min() [1/2]

double Min ( )

returns the minimal component value

Returns

inheritdoc/>

◆ Min() [2/2]

static VectorD Min	(	VectorD	v1,
		VectorD	v2 )

static

Gets the component-wise minimum of two double vectors.

Parameters

v1	first VectorD
v2	second VectorD

Returns: new VectorD with component-wise minimum

◆ Norm()

double Norm ( )

Calculates the norm (squared absolute value) of the present VectorD object.

Returns: The norm of the VectorD object.

◆ Normalize()

void Normalize ( )

Normalizes the present VectorD object.

Exceptions

ArgumentException Vector to normalize has a length of zero.

◆ operator PointF()

static implicit operator PointF ( VectorD vector )

static

Converts a VectorD object into a System.Drawing.PointF object.

Parameters

vector The VectorD object to convert into a System.Drawing.PointF object.

Returns: Converted System.Drawing.PointF object.

◆ operator SizeF()

static implicit operator SizeF ( VectorD vector )

static

Converts a VectorD object into a System.Drawing.SizeF object.

Parameters

vector The VectorD object to convert into a System.Drawing.SizeF object.

Returns: Converted System.Drawing.SizeF object.

◆ operator Vector2D()

static implicit operator Vector2D ( VectorD vector )

static

Converts a VectorD object into a System.Drawing.SizeF object.

Parameters

vector The VectorD object to convert into a System.Drawing.SizeF object.

Returns: Converted System.Drawing.SizeF object.

◆ operator VectorD() [1/5]

static implicit operator VectorD ( (double x, double y) tuple )

static

Converts a tuple of two doubles into a VectorD object.

Parameters

tuple The tuple to convert into a VectorD object.

Returns: Converted VectorD object.

◆ operator VectorD() [2/5]

static implicit operator VectorD ( PointF size )

static

Converts a System.Drawing.PointF object into a VectorD object.

Parameters

size	The System.Drawing.PointF object to convert into a VectorD object.

Returns: Converted VectorD object.

◆ operator VectorD() [3/5]

static implicit operator VectorD ( SizeF size )

static

Converts a System.Drawing.SizeF object into a VectorD object.

Parameters

size	The System.Drawing.SizeF object to convert into a VectorD object.

Returns: Converted VectorD object.

◆ operator VectorD() [4/5]

static implicit operator VectorD ( Vector vector )

static

Converts a Vector object to a VectorD object.

Parameters

vector Vector object to be converted.

Returns: Converted VectorD.

◆ operator VectorD() [5/5]

static implicit operator VectorD ( VectorL vector )

static

Converts a VectorL object to a VectorD object.

Parameters

vector VectorL object to be converted.

Returns: Converted VectorD.

◆ operator!=()

static bool operator!=	(	VectorD	vector1,
		VectorD	vector2 )

static

Compares two VectorD for inequality. The comparison will be done by comparing the values of the two x- and y- components respectively.

Parameters

vector1	First VectorD object to compare.
vector2	Second VectorD object to compare.

Returns: Returns true if the two objects are unequal.

◆ operator*() [1/3]

static VectorD operator*	(	double	factor,
		VectorD	vector )

static

Multiplies a VectorD objects by a double value.

Parameters

factor	The double value to multiply.
vector	The VectorD object to multiply.

Returns: Returns the product of the VectorD object and the double value.

◆ operator*() [2/3]

static VectorD operator*	(	VectorD	a,
		VectorD	b )

static

Multiplies two VectorD objects.

Parameters

a	The first VectorD object to multiply.
b	The second VectorD object to multiply.

Returns: Returns the product of the two VectorD objects.

◆ operator*() [3/3]

static VectorD operator*	(	VectorD	vector,
		double	factor )

static

Multiplies a VectorD objects by a double value.

Parameters

vector	The VectorD object to multiply.
factor	The double value to multiply.

Returns: Returns the product of the VectorD object and the double value.

◆ operator+()

static VectorD operator+	(	VectorD	a,
		VectorD	b )

static

Adds two VectorD objects.

Parameters

a	The first VectorD object to add.
b	The second VectorD object to add.

Returns: Returns the sum of the two VectorD objects.

◆ operator-() [1/2]

static VectorD operator- ( VectorD a )

static

Returns the negated argument. ()

Parameters

a

Returns

◆ operator-() [2/2]

static VectorD operator-	(	VectorD	a,
		VectorD	b )

static

Subtracts two VectorD objects.

Parameters

a	The first VectorD object to subtract from.
b	The second VectorD object to subtract.

Returns: Returns the difference of the two VectorD objects.

◆ operator/() [1/3]

static VectorD operator/	(	double	number,
		VectorD	vector )

static

Performs a component wise division of a double value and a VectorD object. The result is defined as new VectorD(number / vector.X, number / vector.Y).

Parameters

number	The double value to divide by the components of the VectorD object.
vector	The VectorD object used as divisor.

Returns: Returns the quotient of the double value and the VectorD object.

◆ operator/() [2/3]

static VectorD operator/	(	VectorD	a,
		VectorD	b )

static

Performs a component wise division of two VectorD objects.

Parameters

a	The first VectorD object to divide by parameter b.
b	The second VectorD object used as divisor.

Returns: Returns the quotient of the two VectorD objects.

◆ operator/() [3/3]

static VectorD operator/	(	VectorD	vector,
		double	divisor )

static

Performs a component wise division of a VectorD object and a double value.

Parameters

vector	The VectorD object to divide by the double value.
divisor	The double value used as divisor.

Returns: Returns the quotient of the VectorD object and the double value.

◆ operator==()

static bool operator==	(	VectorD	vector1,
		VectorD	vector2 )

static

Compares two VectorD for equality. The comparison will be done by comparing the values of the two x- and y- components respectively.

Parameters

vector1	First VectorD object to compare.
vector2	Second VectorD object to compare.

Returns: Returns true if the two objects are equal.

◆ operator|()

static double operator\|	(	VectorD	a,
		VectorD	b )

static

Calculates the scalar product of two VectorD objects.

Parameters

a	First VectorD object.
b	Second VectorD object.

Returns: Scalar product of the two VectorD objects.

◆ Parse()

static VectorD Parse ( string vectorDAsString )

static

parse function of the VectorD class

Parameters

vectorDAsString the string which should be parsed

Returns: the VectorD object which was parsed from input string

◆ Power()

static VectorD Power	(	VectorD	vector,
		double	exp )

static

Raises both components of current VectorD to the power of exp and creates new one using them.

Parameters

vector	Base.
exp	Exponent.

Returns: Result of operation.

◆ Reziprocal()

VectorD Reziprocal ( )

Calculates the reciprocals of both components of current VectorD object and returns the result as new object.

Returns: The reciprocal of the components of this VectorD object.

◆ Round()

VectorD Round ( )

Rounds both X and Y coordinate of a VectorD to an integer and creates new VectorD using them.

Returns: Result of operation.

◆ RoundToVector()

Vector RoundToVector ( )

Round both X and Y to int and returns a Vector.

Returns: .

◆ Sqrt()

VectorD Sqrt ( )

Calculates the square roots of the components of the present VectorD object and returns a new object.

Returns: The square root of the components of this VectorD object.

◆ ToString() [1/2]

override string ToString ( )

Converts this VectorD into a string of format (X; Y).

Returns: String containing the VectorD information.

◆ ToString() [2/2]

string ToString ( int numberOfDigits )

Converts this VectorD into a string of format (X; Y).

Parameters

numberOfDigits The number of significant digits returned for the vector components.

Returns: A System.String that represents this instance.

Member Data Documentation

◆ coords

VectorD coords

static

Method which calculates the intersection of two line segments that are collinear.

Parameters

firstSegment	First line segment.
secondSegment	Second line segment.

Returns: The intersection line segment if it exists. If the intersection is empty, the value (null, null) will be returned. If the intersection is identical to one point P, the value (P, null) will be returned.

Property Documentation

◆ IsUndefined

bool IsUndefined

get

Gets whether a least one component of the vector is undefined.

Returns: true iff at least one component of the vector is NaN.

Public Member Functions

Static Public Member Functions

Public Attributes

Static Public Attributes

Properties

Detailed Description

Constructor & Destructor Documentation

◆ VectorD() [1/4]

◆ VectorD() [2/4]

◆ VectorD() [3/4]

◆ VectorD() [4/4]

Member Function Documentation

◆ Abs()

◆ AngleBetweenVectors()

◆ AreCollinear()

◆ Ceil()

◆ ComponentAbs()

◆ Floor()

◆ Max() [1/2]

◆ Max() [2/2]

◆ Min() [1/2]

◆ Min() [2/2]

◆ Norm()

◆ Normalize()

◆ operator PointF()

◆ operator SizeF()

◆ operator Vector2D()

◆ operator VectorD() [1/5]

◆ operator VectorD() [2/5]

◆ operator VectorD() [3/5]

◆ operator VectorD() [4/5]

◆ operator VectorD() [5/5]

◆ operator!=()

◆ operator*() [1/3]

◆ operator*() [2/3]

◆ operator*() [3/3]

◆ operator+()

◆ operator-() [1/2]

◆ operator-() [2/2]

◆ operator/() [1/3]

◆ operator/() [2/3]

◆ operator/() [3/3]

◆ operator==()

◆ operator|()

◆ Parse()

◆ Power()

◆ Reziprocal()

◆ Round()

◆ RoundToVector()

◆ Sqrt()

◆ ToString() [1/2]

◆ ToString() [2/2]

Member Data Documentation

◆ coords

Property Documentation

◆ IsUndefined