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

CFixedVector2D	GetHalfBoundingBox (CFixedVector2D u, CFixedVector2D v, CFixedVector2D halfSize)

fixed	DistanceToSquare (CFixedVector2D point, CFixedVector2D u, CFixedVector2D v, CFixedVector2D halfSize)

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...

CFixedVector2D	NearestPointOnSquare (CFixedVector2D point, CFixedVector2D u, CFixedVector2D v, CFixedVector2D halfSize)
	Find point closest to the given point on the edge of the given square or rectangle. More...

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

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

bool	TestSquareSquare (CFixedVector2D c0, CFixedVector2D u0, CFixedVector2D v0, CFixedVector2D halfSize0, CFixedVector2D c1, CFixedVector2D u1, CFixedVector2D v1, 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.

Definition at line 48 of file Geometry.cpp.

fixed Geometry::DistanceToSquare	(	CFixedVector2D	point,
		CFixedVector2D	u,
		CFixedVector2D	v,
		CFixedVector2D	halfSize
	)

Definition at line 53 of file Geometry.cpp.

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

Definition at line 40 of file Geometry.cpp.

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

Find point closest to the given point on the edge of the given square or rectangle.

Note: Currently assumes the u and v vectors are perpendicular.

Parameters

point	point vector of the point we want to get the nearest edge point for, relative to the origin (center) of the shape.
u	rotated X axis unit vector, relative to the absolute XZ plane. Indicates the orientation of the shape. If not rotated, this value is the absolute X axis unit vector (1,0). If rotated by angle theta, this should be (cos theta, -sin theta).
v	rotated Z axis unit vector, relative to the absolute XZ plane. Indicates the orientation of the shape. If not rotated, this value is the absolute Z axis unit vector (0,1). If rotated by angle theta, this should be (sin theta, cos theta).
halfSize	Holds half the dimensions of the shape along the u and v vectors, respectively.

Returns: point that is closest to point on the edge of the square specified by orientation unit vectors u and v and half dimensions halfSize, relative to the center of the square

Definition at line 119 of file Geometry.cpp.

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

Checks if a point is inside the given rotated square or rectangle.

Note: Currently assumes the u and v vectors are perpendicular.

Parameters

point	point vector of the point that is to be tested relative to the origin (center) of the shape.
u	rotated X axis unit vector relative to the absolute XZ plane. Indicates the orientation of the rectangle. If not rotated, this value is the absolute X axis unit vector (1,0). If rotated by angle theta, this should be (cos theta, -sin theta), as the absolute Z axis points down in the unit circle.
v	rotated Z axis unit vector relative to the absolute XZ plane. Indicates the orientation of the rectangle. If not rotated, this value is the absolute Z axis unit vector (0,1). If rotated by angle theta, this should be (sin theta, cos theta), as the absolute Z axis points down in the unit circle.
halfSize	Holds half the dimensions of the shape along the u and v vectors, respectively.

Returns: true if point is inside the square with rotated X axis unit vector u and rotated Z axis unit vector v, and half dimensions specified by halfSizes.

Definition at line 28 of file Geometry.cpp.

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

Definition at line 241 of file Geometry.cpp.

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

Definition at line 193 of file Geometry.cpp.

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

Definition at line 305 of file Geometry.cpp.

Functions

Function Documentation