Functions
bool	PointIsInSquare (const CFixedVector2D &point, const CFixedVector2D &u, const CFixedVector2D &v, const CFixedVector2D &halfSize)
	Checks if a point is inside the given rotated rectangle. More...

CFixedVector2D	GetHalfBoundingBox (const CFixedVector2D &u, const CFixedVector2D &v, const CFixedVector2D &halfSize)
	Returns a vector (bx,by) such that every point inside the given rotated rectangle has coordinates (x,y) with -bx <= x <= bx, -by <= y < by. More...

fixed	DistanceToSquare (const CFixedVector2D &point, const CFixedVector2D &u, const CFixedVector2D &v, const CFixedVector2D &halfSize, bool countInsideAsZero=false)
	Returns the minimum Euclidean distance from the given point to any point on the boundary of the given rotated rectangle. More...

fixed	DistanceToSquareSquared (const CFixedVector2D &point, const CFixedVector2D &u, const CFixedVector2D &v, const CFixedVector2D &halfSize, bool countInsideAsZero=false)
	Similar to above but never uses sqrt, so it returns the squared distance. More...

CFixedVector2D	NearestPointOnSquare (const CFixedVector2D &point, const CFixedVector2D &u, const CFixedVector2D &v, const CFixedVector2D &halfSize)
	Returns a point on the boundary of the given rotated rectangle that is closest (or equally closest) to the given point in Euclidean distance. More...

float	ChordToCentralAngle (const float chordLength, const float radius)
	Given a circle of radius `radius`, and a chord of length `chordLength` on this circle, computes the central angle formed by connecting the chord's endpoints to the center of the circle. More...

bool	TestRaySquare (const CFixedVector2D &a, const CFixedVector2D &b, const CFixedVector2D &u, const CFixedVector2D &v, const CFixedVector2D &halfSize)

bool	TestRayAASquare (const CFixedVector2D &a, const CFixedVector2D &b, const CFixedVector2D &halfSize)

bool	TestSquareSquare (const CFixedVector2D &c0, const CFixedVector2D &u0, const CFixedVector2D &v0, const CFixedVector2D &halfSize0, const CFixedVector2D &c1, const CFixedVector2D &u1, const CFixedVector2D &v1, const CFixedVector2D &halfSize1)

Function Documentation

float Geometry::ChordToCentralAngle	(	const float	chordLength,
		const float	radius
	)

Given a circle of radius radius, and a chord of length chordLength on this circle, computes the central angle formed by connecting the chord's endpoints to the center of the circle.

Parameters

radius Radius of the circle; must be strictly positive.

fixed Geometry::DistanceToSquare	(	const CFixedVector2D &	point,
		const CFixedVector2D &	u,
		const CFixedVector2D &	v,
		const CFixedVector2D &	halfSize,
		bool	countInsideAsZero = `false`
	)

Returns the minimum Euclidean distance from the given point to any point on the boundary of the given rotated rectangle.

If countInsideAsZero is true, and the point is inside the rectangle, it will return 0. If countInsideAsZero is false, the (positive) distance to the boundary will be returned regardless of where the point is.

The rectangle is defined by the four vertexes (+/-u*halfSize.X +/-v*halfSize.Y).

The u and v vectors must be perpendicular and unit length.

fixed Geometry::DistanceToSquareSquared	(	const CFixedVector2D &	point,
		const CFixedVector2D &	u,
		const CFixedVector2D &	v,
		const CFixedVector2D &	halfSize,
		bool	countInsideAsZero = `false`
	)

Similar to above but never uses sqrt, so it returns the squared distance.

CFixedVector2D Geometry::GetHalfBoundingBox	(	const CFixedVector2D &	u,
		const CFixedVector2D &	v,
		const CFixedVector2D &	halfSize
	)

Returns a vector (bx,by) such that every point inside the given rotated rectangle has coordinates (x,y) with -bx <= x <= bx, -by <= y < by.

The rectangle is defined by the four vertexes (+/-u*halfSize.X +/-v*halfSize.Y).

CFixedVector2D Geometry::NearestPointOnSquare	(	const CFixedVector2D &	point,
		const CFixedVector2D &	u,
		const CFixedVector2D &	v,
		const CFixedVector2D &	halfSize
	)

Returns a point on the boundary of the given rotated rectangle that is closest (or equally closest) to the given point in Euclidean distance.

The rectangle is defined by the four vertexes (+/-u*halfSize.X +/-v*halfSize.Y).

The u and v vectors must be perpendicular and unit length.

bool Geometry::PointIsInSquare	(	const CFixedVector2D &	point,
		const CFixedVector2D &	u,
		const CFixedVector2D &	v,
		const CFixedVector2D &	halfSize
	)

inline

Checks if a point is inside the given rotated rectangle.

Points precisely on an edge are considered to be inside.

The rectangle is defined by the four vertexes (+/-u*halfSize.X +/-v*halfSize.Y)

The u and v vectors must be perpendicular.

bool Geometry::TestRayAASquare	(	const CFixedVector2D &	a,
		const CFixedVector2D &	b,
		const CFixedVector2D &	halfSize
	)

bool Geometry::TestRaySquare	(	const CFixedVector2D &	a,
		const CFixedVector2D &	b,
		const CFixedVector2D &	u,
		const CFixedVector2D &	v,
		const CFixedVector2D &	halfSize
	)

bool Geometry::TestSquareSquare	(	const CFixedVector2D &	c0,
		const CFixedVector2D &	u0,
		const CFixedVector2D &	v0,
		const CFixedVector2D &	halfSize0,
		const CFixedVector2D &	c1,
		const CFixedVector2D &	u1,
		const CFixedVector2D &	v1,
		const CFixedVector2D &	halfSize1
	)

Functions

Function Documentation