Vec2D

Description

struct Tinman.Core.Math.Vectors.Vec2D

A two-dimensional vector with 64-bit floating-point precision.

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Public / Constants

Undefined

public static readonly attribute Undefined → (Vec2D)

A vector with undefined value.

Zero

public static readonly attribute Zero → (Vec2D)

The zero vector.

Public / Constructors

Vec2​D

public constructor Vec2D → (2)

x in : float64

X-coordinate of vector.

y in : float64

Y-coordinate of vector.

Creates a new instance of Vec2D.

Public / Methods

Add

2 overloads

[Pure]
public method Add1 → (1)

v in : Vec2D

The vector.

returns → Vec2D

The resulting vector.

Adds this vector and the given one.

[Pure]
public method Add2 → (2)

x in : float64

X-component of vector.

y in : float64

Y-component of vector.

returns → Vec2D

The resulting vector.

Adds this vector and the given one.

Barycentric

[Pure]
public method Barycentric → (3)

a in : Vec2D

First vertex of triangle.

b in : Vec2D

Second vertex of triangle.

c in : Vec2D

Third vertex of triangle.

returns → Vec3D

The barycentric coordinates of this vector, where Vec3D.X, Vec3D.Y and Vec3D.Z represent the weights for the triangle vertices a in, b in and c in (in this order). This vector lies inside of the given triangle iff Vec3D.X, Vec3D.Y and Vec3D.Z are non-negative.

Computes the barycentric coordinates of this vector in the given triangle.

Ceiling

[Pure]
public method Ceiling → ()

returns → Vec2D

The resulting vector.

Computes the component-wise ceiling of this vector.

Choose

[Pure]
public method Choose → (2)

idx in : int32

The zero-based component index.

v opt : float64 = 0

The value to return if idx in is out of range.

returns → float64

The resulting vector.

Chooses a component of this vector.

Cross

3 overloads

[Pure]
public method Cross1 → (1)

z in : float64

Z-component of vector (X- and Y-components are zero).

returns → Vec2D

The cross product vector.

Computes the cross product between this vector and the given one: this x other.

[Pure]
public method Cross2 → (1)

v in : Vec2D

The other vector.

returns → float64

The Z-component of the cross product vector (X- and Y-components are zero).

Computes the cross product between this vector and the given one: this x other.

[Pure]
public method Cross3 → (2)

x in : float64

X-component of vector.

y in : float64

Y-component of vector.

returns → float64

The Z-component of the cross product vector (X- and Y-components are zero).

Computes the cross product between this vector and the given one: this x other.

Div

[Pure]
public method Div → (1)

v in : float64

The scalar value.

returns → Vec2D

The resulting vector.

Divides this vector by the given scalar value.

Dot

2 overloads

[Pure]
public method Dot1 → (1)

v in : Vec2D

The vector.

returns → float64

The resulting vector.

Computes the dot product between this vector and the given one.

[Pure]
public method Dot2 → (2)

x in : float64

X-component of vector.

y in : float64

Y-component of vector.

returns → float64

The resulting vector.

Computes the dot product between this vector and the given one.

Equals

2 overloads

[Pure]
public method Equals2 → (2)

x in : float64

X-component of vector.

y in : float64

Y-component of vector.

returns → bool

true if both vectors are equal, false if they are not.

Checks if this vector and the given one are equal.

Equals​Almost

2 overloads

[Pure]
public method EqualsAlmost1 → (1)

v in : Vec2D

The vector.

returns → bool

true if both vectors are similar, false if they are not.

Checks if this vector and the given one are similar but necessarily equal.

See also

Maths.Similar2

[Pure]
public method EqualsAlmost2 → (2)

x in : float64

X-component of vector.

y in : float64

Y-component of vector.

returns → bool

true if both vectors are similar, false if they are not.

Checks if this vector and the given one are similar but necessarily equal.

See also

Maths.Similar2

Floor

[Pure]
public method Floor → ()

returns → Vec2D

The resulting vector.

Computes the component-wise floor of this vector.

Max

2 overloads

[Pure]
public method Max1 → (1)

v in : Vec2D

The vector.

returns → Vec2D

The resulting vector.

Computes the component-wise maximum of this vector and the given one.

[Pure]
public method Max2 → (2)

x in : float64

X-component of vector.

y in : float64

Y-component of vector.

returns → Vec2D

The resulting vector.

Computes the component-wise maximum of this vector and the given one.

Min

2 overloads

[Pure]
public method Min1 → (1)

v in : Vec2D

The vector.

returns → Vec2D

The resulting vector.

Computes the component-wise minimum of this vector and the given one.

[Pure]
public method Min2 → (2)

x in : float64

X-component of vector.

y in : float64

Y-component of vector.

returns → Vec2D

The resulting vector.

Computes the component-wise minimum of this vector and the given one.

Mul

3 overloads

[Pure]
public method Mul1 → (1)

v in : Vec2D

The vector.

returns → Vec2D

The resulting vector.

Multiplies this vector with the given one.

[Pure]
public method Mul2 → (2)

x in : float64

X-component of vector.

y in : float64

Y-component of vector.

returns → Vec2D

The resulting vector.

Multiplies this vector with the given one.

[Pure]
public method Mul3 → (1)

v in : float64

The scalar value.

returns → Vec2D

The resulting vector.

Multiplies this vector with the given scalar value.

Neg

[Pure]
public method Neg → ()

returns → Vec2D

The resulting vector.

Negates this vector.

Norm

[Pure]
public method Norm → ()

returns → Vec2D

The resulting vector.

Normalizes this vector to unit length.

Sub

2 overloads

[Pure]
public method Sub1 → (1)

v in : Vec2D

The vector.

returns → Vec2D

The resulting vector.

Subtracts the given vector from this one.

[Pure]
public method Sub2 → (2)

x in : float64

X-component of vector.

y in : float64

Y-component of vector.

returns → Vec2D

The resulting vector.

Subtracts the given vector from this one.

To​String

2 overloads

[Pure]
public method ToString2 → (1)

flags in : FormatFlags

The format flags to use.

returns → string

The string representation.

Returns the string representation of this vector.

The Vec2D.ToString1 method uses FormatFlags.Precision15.

See also

Format.ThisNum

Public / Attributes

Is​Undefined

public attribute IsUndefined → (get)

value : bool

true if this vector has an undefined value, false if not.

Checks if this vector has an undefined value.

A vector is undefined if at least one component is NaN (not-a-number).

Length

public attribute Length → (get)

value : float64

[>=0]
The vector length.

Returns the length of this vector.

Length​Sqr

public attribute LengthSqr → (get)

value : float64

[>=0]
The squared vector length.

Returns the squared length of this vector.

X

public readonly attribute X → (float64)

X-coordinate of vector.

Y

public readonly attribute Y → (float64)

Y-coordinate of vector.

Serialization

Serializer

public static readonly attribute Serializer → (ITypeSerializerEx<Vec2D>)

The serialization helper object for values of Vec2D.