#include <Box2D/Common/b2Settings.h>
#include <math.h>

Include dependency graph for b2Math.h:

This graph shows which files directly or indirectly include this file:

Classes
struct	b2Mat22
	A 2-by-2 matrix. Stored in column-major order. More...

struct	b2Mat33
	A 3-by-3 matrix. Stored in column-major order. More...

struct	b2Rot
	Rotation. More...

struct	b2Sweep

struct	b2Transform

struct	b2Vec2
	A 2D column vector. More...

struct	b2Vec3
	A 2D column vector with 3 elements. More...

Macros
#define	b2Atan2(y, x) atan2f(y, x)

#define	b2Sqrt(x) sqrtf(x)

Functions
template<typename T >
T	b2Abs (T a)

b2Vec2	b2Abs (const b2Vec2 &a)

b2Mat22	b2Abs (const b2Mat22 &A)

template<typename T >
T	b2Clamp (T a, T low, T high)

b2Vec2	b2Clamp (const b2Vec2 &a, const b2Vec2 &low, const b2Vec2 &high)

float32	b2Cross (const b2Vec2 &a, const b2Vec2 &b)
	Perform the cross product on two vectors. In 2D this produces a scalar. More...

b2Vec2	b2Cross (const b2Vec2 &a, float32 s)

b2Vec2	b2Cross (float32 s, const b2Vec2 &a)

b2Vec3	b2Cross (const b2Vec3 &a, const b2Vec3 &b)
	Perform the cross product on two vectors. More...

float32	b2Distance (const b2Vec2 &a, const b2Vec2 &b)

float32	b2DistanceSquared (const b2Vec2 &a, const b2Vec2 &b)

float32	b2Dot (const b2Vec2 &a, const b2Vec2 &b)
	Perform the dot product on two vectors. More...

float32	b2Dot (const b2Vec3 &a, const b2Vec3 &b)
	Perform the dot product on two vectors. More...

float32	b2InvSqrt (float32 x)
	This is a approximate yet fast inverse square-root. More...

bool	b2IsPowerOfTwo (uint32 x)

bool	b2IsValid (float32 x)
	This function is used to ensure that a floating point number is not a NaN or infinity. More...

template<typename T >
T	b2Max (T a, T b)

b2Vec2	b2Max (const b2Vec2 &a, const b2Vec2 &b)

template<typename T >
T	b2Min (T a, T b)

b2Vec2	b2Min (const b2Vec2 &a, const b2Vec2 &b)

b2Vec2	b2Mul (const b2Mat22 &A, const b2Vec2 &v)

b2Mat22	b2Mul (const b2Mat22 &A, const b2Mat22 &B)

b2Vec3	b2Mul (const b2Mat33 &A, const b2Vec3 &v)
	Multiply a matrix times a vector. More...

b2Rot	b2Mul (const b2Rot &q, const b2Rot &r)
	Multiply two rotations: q * r. More...

b2Vec2	b2Mul (const b2Rot &q, const b2Vec2 &v)
	Rotate a vector. More...

b2Vec2	b2Mul (const b2Transform &T, const b2Vec2 &v)

b2Transform	b2Mul (const b2Transform &A, const b2Transform &B)

b2Vec2	b2Mul22 (const b2Mat33 &A, const b2Vec2 &v)
	Multiply a matrix times a vector. More...

b2Vec2	b2MulT (const b2Mat22 &A, const b2Vec2 &v)

b2Mat22	b2MulT (const b2Mat22 &A, const b2Mat22 &B)

b2Rot	b2MulT (const b2Rot &q, const b2Rot &r)
	Transpose multiply two rotations: qT * r. More...

b2Vec2	b2MulT (const b2Rot &q, const b2Vec2 &v)
	Inverse rotate a vector. More...

b2Vec2	b2MulT (const b2Transform &T, const b2Vec2 &v)

b2Transform	b2MulT (const b2Transform &A, const b2Transform &B)

uint32	b2NextPowerOfTwo (uint32 x)

template<typename T >
void	b2Swap (T &a, T &b)

b2Vec2	operator* (float32 s, const b2Vec2 &a)

b2Vec3	operator* (float32 s, const b2Vec3 &a)

b2Vec2	operator+ (const b2Vec2 &a, const b2Vec2 &b)
	Add two vectors component-wise. More...

b2Vec3	operator+ (const b2Vec3 &a, const b2Vec3 &b)
	Add two vectors component-wise. More...

b2Mat22	operator+ (const b2Mat22 &A, const b2Mat22 &B)

b2Vec2	operator- (const b2Vec2 &a, const b2Vec2 &b)
	Subtract two vectors component-wise. More...

b2Vec3	operator- (const b2Vec3 &a, const b2Vec3 &b)
	Subtract two vectors component-wise. More...

bool	operator== (const b2Vec2 &a, const b2Vec2 &b)

Variables
const b2Vec2	b2Vec2_zero
	Useful constant. More...

Macro Definition Documentation

#define b2Atan2	(	y,
		x
	)	atan2f(y, x)

Definition at line 49 of file b2Math.h.

#define b2Sqrt ( x ) sqrtf(x)

Definition at line 48 of file b2Math.h.

Function Documentation

template<typename T >

T b2Abs ( T a )

inline

Definition at line 615 of file b2Math.h.

b2Vec2 b2Abs ( const b2Vec2 & a )

inline

Definition at line 620 of file b2Math.h.

b2Mat22 b2Abs ( const b2Mat22 & A )

inline

Definition at line 625 of file b2Math.h.

template<typename T >

T b2Clamp	(	T	a,
		T	low,
		T	high
	)

inline

Definition at line 653 of file b2Math.h.

b2Vec2 b2Clamp	(	const b2Vec2 &	a,
		const b2Vec2 &	low,
		const b2Vec2 &	high
	)

inline

Definition at line 658 of file b2Math.h.

float32 b2Cross	(	const b2Vec2 &	a,
		const b2Vec2 &	b
	)

inline

Perform the cross product on two vectors. In 2D this produces a scalar.

Definition at line 411 of file b2Math.h.

b2Vec2 b2Cross	(	const b2Vec2 &	a,
		float32	s
	)

inline

Perform the cross product on a vector and a scalar. In 2D this produces a vector.

Definition at line 418 of file b2Math.h.

b2Vec2 b2Cross	(	float32	s,
		const b2Vec2 &	a
	)

inline

Perform the cross product on a scalar and a vector. In 2D this produces a vector.

Definition at line 425 of file b2Math.h.

b2Vec3 b2Cross	(	const b2Vec3 &	a,
		const b2Vec3 &	b
	)

inline

Perform the cross product on two vectors.

Definition at line 502 of file b2Math.h.

float32 b2Distance	(	const b2Vec2 &	a,
		const b2Vec2 &	b
	)

inline

Definition at line 466 of file b2Math.h.

float32 b2DistanceSquared	(	const b2Vec2 &	a,
		const b2Vec2 &	b
	)

inline

Definition at line 472 of file b2Math.h.

float32 b2Dot	(	const b2Vec2 &	a,
		const b2Vec2 &	b
	)

inline

Perform the dot product on two vectors.

Definition at line 405 of file b2Math.h.

float32 b2Dot	(	const b2Vec3 &	a,
		const b2Vec3 &	b
	)

inline

Perform the dot product on two vectors.

Definition at line 496 of file b2Math.h.

float32 b2InvSqrt ( float32 x )

inline

This is a approximate yet fast inverse square-root.

Definition at line 32 of file b2Math.h.

bool b2IsPowerOfTwo ( uint32 x )

inline

Definition at line 685 of file b2Math.h.

bool b2IsValid ( float32 x )

inline

This function is used to ensure that a floating point number is not a NaN or infinity.

Definition at line 26 of file b2Math.h.

template<typename T >

T b2Max	(	T	a,
		T	b
	)

inline

Definition at line 642 of file b2Math.h.

b2Vec2 b2Max	(	const b2Vec2 &	a,
		const b2Vec2 &	b
	)

inline

Definition at line 647 of file b2Math.h.

template<typename T >

T b2Min	(	T	a,
		T	b
	)

inline

Definition at line 631 of file b2Math.h.

b2Vec2 b2Min	(	const b2Vec2 &	a,
		const b2Vec2 &	b
	)

inline

Definition at line 636 of file b2Math.h.

b2Vec2 b2Mul	(	const b2Mat22 &	A,
		const b2Vec2 &	v
	)

inline

Multiply a matrix times a vector. If a rotation matrix is provided, then this transforms the vector from one frame to another.

Definition at line 432 of file b2Math.h.

b2Mat22 b2Mul	(	const b2Mat22 &	A,
		const b2Mat22 &	B
	)

inline

Definition at line 513 of file b2Math.h.

b2Vec3 b2Mul	(	const b2Mat33 &	A,
		const b2Vec3 &	v
	)

inline

Multiply a matrix times a vector.

Definition at line 527 of file b2Math.h.

b2Rot b2Mul	(	const b2Rot &	q,
		const b2Rot &	r
	)

inline

Multiply two rotations: q * r.

Definition at line 539 of file b2Math.h.

b2Vec2 b2Mul	(	const b2Rot &	q,
		const b2Vec2 &	v
	)

inline

Rotate a vector.

Definition at line 565 of file b2Math.h.

b2Vec2 b2Mul	(	const b2Transform &	T,
		const b2Vec2 &	v
	)

inline

Definition at line 576 of file b2Math.h.

b2Transform b2Mul	(	const b2Transform &	A,
		const b2Transform &	B
	)

inline

Definition at line 596 of file b2Math.h.

b2Vec2 b2Mul22	(	const b2Mat33 &	A,
		const b2Vec2 &	v
	)

inline

Multiply a matrix times a vector.

Definition at line 533 of file b2Math.h.

b2Vec2 b2MulT	(	const b2Mat22 &	A,
		const b2Vec2 &	v
	)

inline

Multiply a matrix transpose times a vector. If a rotation matrix is provided, then this transforms the vector from one frame to another (inverse transform).

Definition at line 439 of file b2Math.h.

b2Mat22 b2MulT	(	const b2Mat22 &	A,
		const b2Mat22 &	B
	)

inline

Definition at line 519 of file b2Math.h.

b2Rot b2MulT	(	const b2Rot &	q,
		const b2Rot &	r
	)

inline

Transpose multiply two rotations: qT * r.

Definition at line 552 of file b2Math.h.

b2Vec2 b2MulT	(	const b2Rot &	q,
		const b2Vec2 &	v
	)

inline

Inverse rotate a vector.

Definition at line 571 of file b2Math.h.

b2Vec2 b2MulT	(	const b2Transform &	T,
		const b2Vec2 &	v
	)

inline

Definition at line 584 of file b2Math.h.

b2Transform b2MulT	(	const b2Transform &	A,
		const b2Transform &	B
	)

inline

Definition at line 606 of file b2Math.h.

uint32 b2NextPowerOfTwo ( uint32 x )

inline

"Next Largest Power of 2 Given a binary integer value x, the next largest power of 2 can be computed by a SWAR algorithm that recursively "folds" the upper bits into the lower bits. This process yields a bit vector with the same most significant 1 as x, but all 1's below it. Adding 1 to that value yields the next largest power of 2. For a 32-bit value:"

Definition at line 675 of file b2Math.h.

template<typename T >

void b2Swap	(	T &	a,
		T &	b
	)

inline

Definition at line 663 of file b2Math.h.

b2Vec2 operator*	(	float32	s,
		const b2Vec2 &	a
	)

inline

Definition at line 456 of file b2Math.h.

b2Vec3 operator*	(	float32	s,
		const b2Vec3 &	a
	)

inline

Definition at line 478 of file b2Math.h.

b2Vec2 operator+	(	const b2Vec2 &	a,
		const b2Vec2 &	b
	)

inline

Add two vectors component-wise.

Definition at line 445 of file b2Math.h.

b2Vec3 operator+	(	const b2Vec3 &	a,
		const b2Vec3 &	b
	)

inline

Add two vectors component-wise.

Definition at line 484 of file b2Math.h.

b2Mat22 operator+	(	const b2Mat22 &	A,
		const b2Mat22 &	B
	)

inline

Definition at line 507 of file b2Math.h.

b2Vec2 operator-	(	const b2Vec2 &	a,
		const b2Vec2 &	b
	)

inline

Subtract two vectors component-wise.

Definition at line 451 of file b2Math.h.

b2Vec3 operator-	(	const b2Vec3 &	a,
		const b2Vec3 &	b
	)

inline

Subtract two vectors component-wise.

Definition at line 490 of file b2Math.h.

bool operator==	(	const b2Vec2 &	a,
		const b2Vec2 &	b
	)

inline

Definition at line 461 of file b2Math.h.

Variable Documentation

const b2Vec2 b2Vec2_zero

Useful constant.

Classes

Macros

Functions

Variables

Macro Definition Documentation

Function Documentation

Variable Documentation