Loyc.Geometry.PointExt Class Reference

Contains methods for manipulating points in generic code. More...

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Source file:

• /Core/Loyc.Utilities/Math/PointExt.cs

Remarks

Contains methods for manipulating points in generic code.

Using PointMath extension methods is easier. These methods may be faster but they require a "math" structure (see Maths{T}).

Static Public Member Functions
static Point	Add< Point, T, M > (this M m, Point a, Point b)
	Returns the sum of two vectors. More...
static IPoint< T >	Subtract< T, M > (this M m, IPoint< T > a, IPoint< T > b)
	Returns the difference between two points or vectors. More...
static IPoint< T >	Multiply< T, M > (this M m, IPoint< T > a, T factor)
	Returns a point or vector multiplied by a scaling factor. More...
static IPoint< T >	Divide< T, M > (this M m, IPoint< T > a, T factor)
	Returns a point or vector divided by a scaling factor. More...
static IPoint< T >	ShiftLeft< T, M > (this M m, IPoint< T > a, int amount)
	Returns a point or vector scaled up by a power of two. More...
static IPoint< T >	ShiftRight< T, M > (this M m, IPoint< T > a, int amount)
	Returns a point or vector scaled down by a power of two. More...
static IPoint< T >	MulDiv< T, M > (this M m, IPoint< T > a, T mulBy, T divBy)
	Returns a point or vector by a factor, then divides by another factor. More...
static T	Dot< T, M > (this M m, IPoint< T > a, IPoint< T > b)
	Gets the dot product of two vectors. More...
static T	Cross< T, M > (this M m, IPoint< T > a, IPoint< T > b)
	Gets the cross product of two vectors. More...
static IPoint< T >	Rot90< T, M > (this M m, IPoint< T > p)
	Returns a vector rotated 90 degrees. More...
static IPoint< T >	Negate< T, M > (this M m, IPoint< T > p)
	Returns a vector with its direction reversed. More...
static T	Quadrance< T, M > (this M m, IPoint< T > p)
	Gets the square of the length of a vector. More...
static T	Length< T, M > (this M m, IPoint< T > p)
	Gets the length of a vector. More...
static T	Angle< T, M > (this M m, IPoint< T > p)
	Gets the angle from 0 to 2*PI of the vector, where (1,0) has angle 0 and (0,1) has angle PI/2. More...

Member Function Documentation

static Point Loyc.Geometry.PointExt.Add< Point, T, M > ( this M  m, Point  a, Point  b  )

inlinestatic

Returns the sum of two vectors.

Type Constraints

Point	:	IPointBase<T>
Point	:	INewPoint
Point	:	Point
Point	:	T
M	:	IAdditionGroup<T>

static T Loyc.Geometry.PointExt.Angle< T, M > ( this M  m, IPoint< T >  p  )

inlinestatic

Gets the angle from 0 to 2*PI of the vector, where (1,0) has angle 0 and (0,1) has angle PI/2.

Type Constraints

M

:

IFloatMath<T>

static T Loyc.Geometry.PointExt.Cross< T, M > ( this M  m, IPoint< T >  a, IPoint< T >  b  )

inlinestatic

Gets the cross product of two vectors.

Type Constraints

M

:

IRing<T>

static IPoint<T> Loyc.Geometry.PointExt.Divide< T, M > ( this M  m, IPoint< T >  a, T  factor  )

inlinestatic

Returns a point or vector divided by a scaling factor.

Type Constraints

M

:

IField<T>

static T Loyc.Geometry.PointExt.Dot< T, M > ( this M  m, IPoint< T >  a, IPoint< T >  b  )

inlinestatic

Gets the dot product of two vectors.

Type Constraints

M

:

IField<T>

static T Loyc.Geometry.PointExt.Length< T, M > ( this M  m, IPoint< T >  p  )

inlinestatic

Gets the length of a vector.

Type Constraints

M

:

IMath<T>

static IPoint<T> Loyc.Geometry.PointExt.MulDiv< T, M > ( this M  m, IPoint< T >  a, T  mulBy, T  divBy  )

inlinestatic

Returns a point or vector by a factor, then divides by another factor.

Type Constraints

M

:

IField<T>

static IPoint<T> Loyc.Geometry.PointExt.Multiply< T, M > ( this M  m, IPoint< T >  a, T  factor  )

inlinestatic

Returns a point or vector multiplied by a scaling factor.

Type Constraints

M

:

IMultiplicationGroup<T>

static IPoint<T> Loyc.Geometry.PointExt.Negate< T, M > ( this M  m, IPoint< T >  p  )

inlinestatic

Returns a vector with its direction reversed.

Type Constraints

M

:

ISignedMath<T>

static T Loyc.Geometry.PointExt.Quadrance< T, M > ( this M  m, IPoint< T >  p  )

inlinestatic

Gets the square of the length of a vector.

Type Constraints

M

:

IMath<T>

static IPoint<T> Loyc.Geometry.PointExt.Rot90< T, M > ( this M  m, IPoint< T >  p  )

inlinestatic

Returns a vector rotated 90 degrees.

Rotatation is clockwise if increasing Y goes downward, counter- clockwise if increasing Y goes upward.

Type Constraints

M

:

ISignedMath<T>

static IPoint<T> Loyc.Geometry.PointExt.ShiftLeft< T, M > ( this M  m, IPoint< T >  a, int  amount  )

inlinestatic

Returns a point or vector scaled up by a power of two.

Type Constraints

M

:

IField<T>

static IPoint<T> Loyc.Geometry.PointExt.ShiftRight< T, M > ( this M  m, IPoint< T >  a, int  amount  )

inlinestatic

Returns a point or vector scaled down by a power of two.

Type Constraints

M

:

IField<T>

static IPoint<T> Loyc.Geometry.PointExt.Subtract< T, M > ( this M  m, IPoint< T >  a, IPoint< T >  b  )

inlinestatic

Returns the difference between two points or vectors.

Type Constraints

M

:

IAdditionGroup<T>