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Struct Box2

Defines an axis-aligned 2d box (rectangle).

Implements
IEquatable<Box2>
IFormattable
Inherited Members
object.Equals(object, object)
object.GetType()
object.ReferenceEquals(object, object)
Namespace: OpenTK.Mathematics
Assembly: OpenTK.Mathematics.dll
Syntax
[Serializable]
public struct Box2 : IEquatable<Box2>, IFormattable

Constructors

Box2(Vector2, Vector2)

Initializes a new instance of the Box2 struct.

Declaration
public Box2(Vector2 min, Vector2 max)
Parameters
Type Name Description
Vector2 min

The minimum point this box encloses.

Vector2 max

The maximum point this box encloses.

Box2(float, float, float, float)

Initializes a new instance of the Box2 struct.

Declaration
public Box2(float minX, float minY, float maxX, float maxY)
Parameters
Type Name Description
float minX

The minimum X value to be enclosed.

float minY

The minimum Y value to be enclosed.

float maxX

The maximum X value to be enclosed.

float maxY

The maximum Y value to be enclosed.

Fields

Empty

An empty box with Min = Vector2.PositiveInfinity and Max = Vector2.NegativeInfinity. This box can be used with Extend(Vector2) to create a bounding box without a special case for the first point.

Declaration
public static readonly Box2 Empty
Field Value
Type Description
Box2
Examples

For example:

Vector2[] points = GetPoints();
Box2 aabb = Box2.Empty;
for (int i = 0; i < points.Length; i++)
{
    aabb.Extend(points[i]):
}

Will calculate the bounding box of all the points in the array without needing a special case for the first point.

Max

The maximum boundary of the box. This field is not guaranteed to be greater than Max.

Declaration
public Vector2 Max
Field Value
Type Description
Vector2
Remarks

A box with a minimum point greater than the maximum is not considered valid except for a single configuration where Min = Vector2.PositiveInfinity and Max = Vector2.NegativeInfinity as is the case with Empty.

Min

The minimum boundary of the box. This field is not guaranteed to be less than Max.

Declaration
public Vector2 Min
Field Value
Type Description
Vector2
Remarks

A box with a minimum point greater than the maximum is not considered valid except for a single configuration where Min = Vector2.PositiveInfinity and Max = Vector2.NegativeInfinity as is the case with Empty.

See Also
Empty
IsEmpty

UnitSquare

A box with a Min = (0, 0) and Max = (1, 1).

Declaration
public static readonly Box2 UnitSquare
Field Value
Type Description
Box2

Zero

A box with Min = Vector2.Zero and Min = Vector2.Zero.

Declaration
public static readonly Box2 Zero
Field Value
Type Description
Box2
Remarks

If you want an empty box, consider using Empty.

Properties

Area

The area of the box.

Declaration
public readonly float Area { get; }
Property Value
Type Description
float

Center

Gets or sets a vector describing the center of the box.

Declaration
public Vector2 Center { readonly get; set; }
Property Value
Type Description
Vector2

HalfSize

Gets half the size of the box. The distance from the center of the box to the edge of the box in X and Y.

Declaration
public readonly Vector2 HalfSize { get; }
Property Value
Type Description
Vector2
Remarks

This function never returns negative values, so Empty will have a size of (0, 0).

HasZeroArea

If this box has zero area.

Declaration
public readonly bool HasZeroArea { get; }
Property Value
Type Description
bool

Height

The height of the box.

Declaration
public readonly float Height { get; }
Property Value
Type Description
float

IsEmpty

If this box is equal to Empty.

Declaration
public readonly bool IsEmpty { get; }
Property Value
Type Description
bool

IsPoint

If this box is a point, i.e. its minimum point is equal to its maximum point.

Declaration
public readonly bool IsPoint { get; }
Property Value
Type Description
bool

Location

Gets the location of the box from a Location + Size perspective. Basically an alias for Min.

Declaration
public readonly Vector2 Location { get; }
Property Value
Type Description
Vector2

Size

Gets the size of the box.

Declaration
public readonly Vector2 Size { get; }
Property Value
Type Description
Vector2
Remarks

This function never returns negative values, so Empty will have a size of (0, 0).

Width

The width of the box.

Declaration
public readonly float Width { get; }
Property Value
Type Description
float

Methods

Ceiling(Box2)

Returns a box that contains rounded up integers.

Declaration
public static Box2 Ceiling(Box2 box)
Parameters
Type Name Description
Box2 box

The box to round.

Returns
Type Description
Box2

The box that contains rounded up integers.

Contains(Box2)

Returns whether the box other is entirely contained within this box. A box is considered to be able to contain itself.

Declaration
public readonly bool Contains(Box2 other)
Parameters
Type Name Description
Box2 other

The box to check.

Returns
Type Description
bool

true if the box other is entirely contained within the this box; otherwise, false.

ContainsExclusive(Vector2)

Returns whether the box contains the specified point (borders exclusive).

Declaration
public readonly bool ContainsExclusive(Vector2 point)
Parameters
Type Name Description
Vector2 point

The point to query.

Returns
Type Description
bool

Whether this box contains the point.

See Also
ContainsInclusive(Vector2)

ContainsInclusive(Vector2)

Returns whether the box contains the specified point (borders inclusive).

Declaration
public readonly bool ContainsInclusive(Vector2 point)
Parameters
Type Name Description
Vector2 point

The point to query.

Returns
Type Description
bool

Whether this box contains the point.

See Also
ContainsExclusive(Vector2)

DistanceToNearestEdge(Vector2)

Returns the distance between the nearest edge and the specified point.

Declaration
public readonly float DistanceToNearestEdge(Vector2 point)
Parameters
Type Name Description
Vector2 point

The point to find distance for.

Returns
Type Description
float

The distance between the specified point and the nearest edge.

DistanceToNearestPointInBox(Vector2)

Returns the distance between the nearest point inside the box and the specified point.

Declaration
public readonly float DistanceToNearestPointInBox(Vector2 point)
Parameters
Type Name Description
Vector2 point

The point to find distance for.

Returns
Type Description
float

The distance between the specified point and the nearest edge.

Remarks

The distance to points inside the box is zero.

Equals(Box2)

Indicates whether the current object is equal to another object of the same type.

Declaration
public readonly bool Equals(Box2 other)
Parameters
Type Name Description
Box2 other

An object to compare with this object.

Returns
Type Description
bool

true if the current object is equal to the other parameter; otherwise, false.

Equals(object)

Indicates whether this instance and a specified object are equal.

Declaration
public override readonly bool Equals(object obj)
Parameters
Type Name Description
object obj

The object to compare with the current instance.

Returns
Type Description
bool

true if obj and this instance are the same type and represent the same value; otherwise, false.

Overrides
ValueType.Equals(object)

Extend(Vector2)

Extends this box to encapsulate a given point.

Declaration
public void Extend(Vector2 point)
Parameters
Type Name Description
Vector2 point

The point to contain.

Remarks

This can be used in combination with Empty to make an efficient bounding box calculation.

Examples

For example:

Vector2[] points = GetPoints();
Box2 aabb = Box2.Empty;
for (int i = 0; i < points.Length; i++)
{
    aabb.Extend(points[i]):
}

Will calculate the bounding box of all the points in the array without needing a special case for the first point.

ExtendNative(Vector2)

Extends this box to encapsulate a given point. With NaN propagation and -0 behaviour being platform dependent.

Declaration
public void ExtendNative(Vector2 point)
Parameters
Type Name Description
Vector2 point

The point to contain.

Remarks

This can be used in combination with Empty to make an efficient bounding box calculation.

Examples

For example:

Vector2[] points = GetPoints();
Box2 aabb = Box2.Empty;
for (int i = 0; i < points.Length; i++)
{
    aabb.Extend(points[i]):
}

Will calculate the bounding box of all the points in the array without needing a special case for the first point.

Extended(Vector2)

Returns a box that is extended to encapsulate a given point.

Declaration
public readonly Box2 Extended(Vector2 point)
Parameters
Type Name Description
Vector2 point

The point to contain.

Returns
Type Description
Box2

The extended box.

Remarks

This can be used in combination with Empty to make an efficient bounding box calculation.

Examples

For example:

Vector2[] points = GetPoints();
Box2 aabb = Box2.Empty;
for (int i = 0; i < points.Length; i++)
{
    aabb = aabb.Extended(points[i]):
}

Will calculate the bounding box of all the points in the array without needing a special case for the first point.

ExtendedNative(Vector2)

Returns a box that is extended to encapsulate a given point. With NaN propagation and -0 behaviour being platform dependent.

Declaration
public readonly Box2 ExtendedNative(Vector2 point)
Parameters
Type Name Description
Vector2 point

The point to contain.

Returns
Type Description
Box2

The extended box.

Remarks

This can be used in combination with Empty to make an efficient bounding box calculation.

Examples

For example:

Vector2[] points = GetPoints();
Box2 aabb = Box2.Empty;
for (int i = 0; i < points.Length; i++)
{
    aabb = aabb.Extended(points[i]):
}

Will calculate the bounding box of all the points in the array without needing a special case for the first point.

Floor(Box2)

Returns a box that contains rounded down integers.

Declaration
public static Box2 Floor(Box2 box)
Parameters
Type Name Description
Box2 box

The box to round.

Returns
Type Description
Box2

The box that contains rounded down integers.

FloorCeiling(Box2)

Returns a box where Min has been rounded down and Max has been rounded up.

Declaration
public static Box2 FloorCeiling(Box2 box)
Parameters
Type Name Description
Box2 box

The box to round.

Returns
Type Description
Box2

The box that contains rounded down integers.

FromCenterAndHalfSize(Vector2, Vector2)

Creates a box from a center point and a half size.

Declaration
public static Box2 FromCenterAndHalfSize(Vector2 center, Vector2 halfSize)
Parameters
Type Name Description
Vector2 center

The center of the box.

Vector2 halfSize

The half size of the box.

Returns
Type Description
Box2

The created box.

FromMinMax(Vector2, Vector2)

Creates a box from a minimum and maximum point.

Declaration
public static Box2 FromMinMax(Vector2 min, Vector2 max)
Parameters
Type Name Description
Vector2 min

The minimum point on the XY plane this box encloses.

Vector2 max

The maximum point on the XY plane this box encloses.

Returns
Type Description
Box2

The created box.

FromSize(Vector2, Vector2)

Creates a box from a point and size.

Declaration
public static Box2 FromSize(Vector2 point, Vector2 size)
Parameters
Type Name Description
Vector2 point

The minimum point of the box.

Vector2 size

The size of the box.

Returns
Type Description
Box2

The created box.

FromTwoPoints(Vector2, Vector2)

Create a box from two unordered points, i.e. creates a box that contains two points.

Declaration
public static Box2 FromTwoPoints(Vector2 p1, Vector2 p2)
Parameters
Type Name Description
Vector2 p1

The first point to contain.

Vector2 p2

The second point to contain.

Returns
Type Description
Box2

The created box.

GetHashCode()

Returns the hash code for this instance.

Declaration
public override readonly int GetHashCode()
Returns
Type Description
int

A 32-bit signed integer that is the hash code for this instance.

Overrides
ValueType.GetHashCode()

Inflate(Vector2)

Inflates this box by the given size in all directions. A negative size will shrink the box to a maximum of -HalfSize.

Declaration
public void Inflate(Vector2 size)
Parameters
Type Name Description
Vector2 size

The size to inflate by.

Inflated(Vector2)

Returns a box inflated by the given size in all directions. A negative size will shrink the box to a maximum of -HalfSize.

Declaration
public readonly Box2 Inflated(Vector2 size)
Parameters
Type Name Description
Vector2 size

The size to inflate by.

Returns
Type Description
Box2

The inflated box.

Intersect(Box2)

Replaces this box with the intersection of itself and the specified box.

Declaration
public void Intersect(Box2 other)
Parameters
Type Name Description
Box2 other

The Box with which to intersect.

Intersect(Box2, Box2)

Returns the intersection of two boxes, or Empty if there is no intersection.

Declaration
public static Box2 Intersect(Box2 a, Box2 b)
Parameters
Type Name Description
Box2 a

The first box.

Box2 b

The second box.

Returns
Type Description
Box2

The intersection of the two boxes.

IntersectNative(in Box2, in Box2)

Returns the intersection of two boxes, or Empty if there is no intersection. With NaN propagation and -0 behaviour being platform depedent.

Declaration
public static Box2 IntersectNative(in Box2 a, in Box2 b)
Parameters
Type Name Description
Box2 a

The first box.

Box2 b

The second box.

Returns
Type Description
Box2

The intersection of the two boxes.

Intersected(Box2)

Returns the intersection of itself and the specified box.

Declaration
public readonly Box2 Intersected(Box2 other)
Parameters
Type Name Description
Box2 other

The Box with which to intersect.

Returns
Type Description
Box2

The intersection of itself and the specified box.

IntersectsWith(Box2)

Determines if this box intersects with another box.

Declaration
public readonly bool IntersectsWith(Box2 other)
Parameters
Type Name Description
Box2 other

The box to test.

Returns
Type Description
bool

This method returns true if there is any intersection, otherwise false.

Remarks

Two boxes next to each other do not intersect, for detecting that case use Touches(Box2).

NearestPointInBox(Vector2)

Returns the nearest point in or on the edge of the box to the given point, point.

Declaration
public readonly Vector2 NearestPointInBox(Vector2 point)
Parameters
Type Name Description
Vector2 point

The point for which the nearest point in the box should be found.

Returns
Type Description
Vector2

The nearest point on or on the edge of the box to the point, point.

NearestPointOnEdge(Vector2)

Returns the nearest point that is on the edge of the box.

Declaration
public readonly Vector2 NearestPointOnEdge(Vector2 point)
Parameters
Type Name Description
Vector2 point

The point for which the nearest point on the edge of the box should be found.

Returns
Type Description
Vector2

The nearest point on the edge of the box to the point, point.

Round(Box2)

Returns a box that contains rounded integers.

Declaration
public static Box2 Round(Box2 box)
Parameters
Type Name Description
Box2 box

The box to round.

Returns
Type Description
Box2

The box that contains rounded integers.

Scale(Vector2, Vector2)

Scales this box by the given scale, scale, and from the given anchor point, anchor.

Declaration
public void Scale(Vector2 scale, Vector2 anchor)
Parameters
Type Name Description
Vector2 scale

The scale to scale the box.

Vector2 anchor

The anchor to scale the box from.

Scaled(Vector2, Vector2)

Returns a box scaled by the given scale, scale, and from the given anchor point, anchor.

Declaration
public readonly Box2 Scaled(Vector2 scale, Vector2 anchor)
Parameters
Type Name Description
Vector2 scale

The scale to scale the box.

Vector2 anchor

The anchor to scale the box from.

Returns
Type Description
Box2

The scaled box.

SignedDistanceToNearestEdge(Vector2)

Returns the signed distance between the nearest edge and the specified point.

Declaration
public readonly float SignedDistanceToNearestEdge(Vector2 point)
Parameters
Type Name Description
Vector2 point

The point to find distance for.

Returns
Type Description
float

The distance between the specified point and the nearest edge.

ToString()

Returns the fully qualified type name of this instance.

Declaration
public override readonly string ToString()
Returns
Type Description
string

The fully qualified type name.

Overrides
ValueType.ToString()

ToString(IFormatProvider)

Formats the value of the current instance using the specified format.

Declaration
public readonly string ToString(IFormatProvider formatProvider)
Parameters
Type Name Description
IFormatProvider formatProvider

The provider to use to format the value.

-or-

A null reference (Nothing in Visual Basic) to obtain the numeric format information from the current locale setting of the operating system.

Returns
Type Description
string

The value of the current instance in the specified format.

ToString(string)

Formats the value of the current instance using the specified format.

Declaration
public readonly string ToString(string format)
Parameters
Type Name Description
string format

The format to use.

-or-

A null reference (Nothing in Visual Basic) to use the default format defined for the type of the IFormattable implementation.

Returns
Type Description
string

The value of the current instance in the specified format.

ToString(string, IFormatProvider)

Formats the value of the current instance using the specified format.

Declaration
public readonly string ToString(string format, IFormatProvider formatProvider)
Parameters
Type Name Description
string format

The format to use.

-or-

A null reference (Nothing in Visual Basic) to use the default format defined for the type of the IFormattable implementation.

IFormatProvider formatProvider

The provider to use to format the value.

-or-

A null reference (Nothing in Visual Basic) to obtain the numeric format information from the current locale setting of the operating system.

Returns
Type Description
string

The value of the current instance in the specified format.

Touches(Box2)

Determines if this box intersects or touches with another box.

Declaration
public readonly bool Touches(Box2 other)
Parameters
Type Name Description
Box2 other

The box to test.

Returns
Type Description
bool

This method returns true if there is any intersection or touches, otherwise false.

Translate(Vector2)

Translates this box by the given distance.

Declaration
public void Translate(Vector2 distance)
Parameters
Type Name Description
Vector2 distance

The distance to translate the box.

Translated(Vector2)

Returns a box translated by the given distance.

Declaration
public readonly Box2 Translated(Vector2 distance)
Parameters
Type Name Description
Vector2 distance

The distance to translate the box.

Returns
Type Description
Box2

The translated box.

Operators

operator ==(Box2, Box2)

Equality comparator. Two boxes are considered equal if both the Min and Max fields are equal.

Declaration
public static bool operator ==(Box2 left, Box2 right)
Parameters
Type Name Description
Box2 left

The left operand.

Box2 right

The right operand.

Returns
Type Description
bool

explicit operator Box2d(Box2)

Converts this Box2 to a Box2d.

Declaration
public static explicit operator Box2d(Box2 box)
Parameters
Type Name Description
Box2 box

The box to cast.

Returns
Type Description
Box2d

explicit operator Box2i(Box2)

Converts this Box2 to a Box2i using truncation.

Declaration
public static explicit operator Box2i(Box2 box)
Parameters
Type Name Description
Box2 box

The box to cast.

Returns
Type Description
Box2i

explicit operator RectangleF(Box2)

Converts this Box2 to a Rectangle using Min as the position and Size as the size.

Declaration
public static explicit operator RectangleF(Box2 box)
Parameters
Type Name Description
Box2 box

The box to cast.

Returns
Type Description
RectangleF

operator !=(Box2, Box2)

Inequality comparator.

Declaration
public static bool operator !=(Box2 left, Box2 right)
Parameters
Type Name Description
Box2 left

The left operand.

Box2 right

The right operand.

Returns
Type Description
bool

Implements

IEquatable<T>
IFormattable
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