Class Point
Represents a 2D point with X and Y coordinates. Immutable: all operations return new instances. Provides methods and operators for creation, translation, scaling, comparison, distance calculation, Manhattan distance calculation, and tuple deconstruction.
public sealed class Point : IPoint, IEquatable<Point>, IFormattable- Inheritance
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Point
- Implements
- Inherited Members
Constructors
- Point(double, double)
Initializes a new instance of the Point class with the specified coordinates.
Properties
- ManhattanLength
Gets the Manhattan length (L1 norm) of this point treated as a vector from the origin.
- Origin
Gets a point at the origin (0, 0).
- X
Gets the X-coordinate of the point.
- Y
Gets the Y-coordinate of the point.
Methods
- Angle(Point)
Returns the polar angle of the vector represented by this point, in radians.
- AngleBetween(Point, Point)
Computes the smallest angle between two vectors (points), in radians.
- CrossZ(Point, Point)
Computes the scalar Z-component of the 2D cross product (a.x * b.y - a.y * b.x).
- Deconstruct(out double, out double)
Deconstructs the point into its X and Y coordinates. Enables tuple-style deconstruction:
var (x, y) = point;
- Distance(IPoint, IPoint)
Calculates the Euclidean distance between two points provided via IPoint.
- Distance(Point, Point)
Calculates the Euclidean distance between two points.
- Distance(double, double, double, double)
Calculates the Euclidean distance between two 2D points provided as raw coordinate pairs.
- DistanceSquared(IPoint, IPoint)
Calculates the squared distance between two points provided via IPoint.
- DistanceSquared(Point, Point)
Calculates the squared distance between two points. Faster than Euclidean distance since no square root is taken.
- DistanceSquared(double, double, double, double)
Calculates the squared Euclidean distance between two 2D points provided as raw coordinate pairs.
- Dot(Point, Point)
Computes the dot product between two points treated as vectors from the origin.
- Lerp(Point, Point, double)
Linearly interpolates between two points.
- ManhattanDistance(IPoint, IPoint)
Calculates the Manhattan distance (L1 norm) between two points provided via IPoint.
- ManhattanDistance(Point, Point)
Calculates the Manhattan distance (L1 norm) between two points.
- ManhattanDistance(double, double, double, double)
Calculates the Manhattan distance (L1 norm) between two 2D points provided as raw coordinate pairs.
- ManhattanDistanceTo(IPoint)
Calculates the Manhattan distance (L1 norm) from this point to another point provided via IPoint.
- ManhattanDistanceTo(Point)
Calculates the Manhattan distance (L1 norm) from this point to another point.
- Midpoint(Point, Point)
Computes the midpoint between two points.
- NearlyEquals(Point, Point, double)
Determines whether two points are equal within a specified tolerance.
- Parse(string, IFormatProvider)
Parses a string into a Point. Accepted forms include
"x,y","x y", and"(x, y)".
- Rotate(Point, Point, double)
Rotates a point around the specified center by the given angle in radians.
- Rotate(Point, double)
Rotates a point around the origin by the specified angle in radians.
- Scale(IPoint)
Returns a new point scaled by the given vector of factors.
- Scale(double)
Returns a new point uniformly scaled by a single factor.
- Scale(double, double)
Returns a new point scaled by the specified factors along the X and Y axes.
- ToString(string, IFormatProvider)
Returns a culture-aware string representation of the point using the specified format.
- ToVector2()
Returns a Vector2 representation of this point.
- Translate(IPoint)
Returns a new point translated by the specified vector.
- Translate(double, double)
Returns a new point translated by the specified amounts along the X and Y axes.
- TryParse(string, out Point, IFormatProvider)
Attempts to parse a string into a Point.
Operators
- operator +(Point, Point)
Adds the coordinates of two points.
- operator /(Point, double)
Divides the coordinates of a point by a scalar.
- operator ==(Point, Point)
Determines whether two points have the same coordinates.
- operator !=(Point, Point)
Determines whether two points have different coordinates.
- operator *(Point, double)
Multiplies the coordinates of a point by a scalar.
- operator *(double, Point)
Multiplies the coordinates of a point by a scalar.
- operator -(Point, Point)
Subtracts the coordinates of one point from another.