#include <math.h>
#include "b2_api.h"
#include "b2_settings.h"

Include dependency graph for b2_math.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)

float	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, float s)

b2Vec2	b2Cross (float s, const b2Vec2 &a)

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

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

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

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

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

bool	b2IsPowerOfTwo (uint32 x)

bool	b2IsValid (float 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)

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

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

b2Vec3	operator* (float 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
B2_API const b2Vec2	b2Vec2_zero
	Useful constant. More...

Macro Definition Documentation

◆ b2Atan2

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

Definition at line 38 of file b2_math.h.

◆ b2Sqrt

#define b2Sqrt ( x ) sqrtf(x)

Definition at line 37 of file b2_math.h.

Function Documentation

◆ b2Abs() [1/3]

template<typename T >

T b2Abs ( T a )

inline

Definition at line 610 of file b2_math.h.

◆ b2Abs() [2/3]

b2Vec2 b2Abs ( const b2Vec2 & a )

inline

Definition at line 615 of file b2_math.h.

◆ b2Abs() [3/3]

b2Mat22 b2Abs ( const b2Mat22 & A )

inline

Definition at line 620 of file b2_math.h.

◆ b2Clamp() [1/2]

template<typename T >

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

inline

Definition at line 648 of file b2_math.h.

◆ b2Clamp() [2/2]

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

inline

Definition at line 653 of file b2_math.h.

◆ b2Cross() [1/4]

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

inline

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

Definition at line 401 of file b2_math.h.

◆ b2Cross() [2/4]

b2Vec2 b2Cross	(	const b2Vec2 &	a,
		float	s
	)

inline

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

Definition at line 408 of file b2_math.h.

◆ b2Cross() [3/4]

b2Vec2 b2Cross	(	float	s,
		const b2Vec2 &	a
	)

inline

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

Definition at line 415 of file b2_math.h.

◆ b2Cross() [4/4]

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

inline

Perform the cross product on two vectors.

Definition at line 497 of file b2_math.h.

◆ b2Distance()

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

inline

Definition at line 461 of file b2_math.h.

◆ b2DistanceSquared()

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

inline

Definition at line 467 of file b2_math.h.

◆ b2Dot() [1/2]

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

inline

Perform the dot product on two vectors.

Definition at line 395 of file b2_math.h.

◆ b2Dot() [2/2]

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

inline

Perform the dot product on two vectors.

Definition at line 491 of file b2_math.h.

◆ b2IsPowerOfTwo()

bool b2IsPowerOfTwo ( uint32 x )

inline

Definition at line 680 of file b2_math.h.

◆ b2IsValid()

bool b2IsValid ( float x )

inline

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

Definition at line 32 of file b2_math.h.

◆ b2Max() [1/2]

template<typename T >

T b2Max	(	T	a,
		T	b
	)

inline

Definition at line 637 of file b2_math.h.

◆ b2Max() [2/2]

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

inline

Definition at line 642 of file b2_math.h.

◆ b2Min() [1/2]

template<typename T >

T b2Min	(	T	a,
		T	b
	)

inline

Definition at line 626 of file b2_math.h.

◆ b2Min() [2/2]

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

inline

Definition at line 631 of file b2_math.h.

◆ b2Mul() [1/7]

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 422 of file b2_math.h.

◆ b2Mul() [2/7]

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

inline

Definition at line 508 of file b2_math.h.

◆ b2Mul() [3/7]

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

inline

Multiply a matrix times a vector.

Definition at line 522 of file b2_math.h.

◆ b2Mul() [4/7]

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

inline

Multiply two rotations: q * r.

Definition at line 534 of file b2_math.h.

◆ b2Mul() [5/7]

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

inline

Rotate a vector.

Definition at line 560 of file b2_math.h.

◆ b2Mul() [6/7]

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

inline

Definition at line 571 of file b2_math.h.

◆ b2Mul() [7/7]

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

inline

Definition at line 591 of file b2_math.h.

◆ b2Mul22()

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

inline

Multiply a matrix times a vector.

Definition at line 528 of file b2_math.h.

◆ b2MulT() [1/6]

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 429 of file b2_math.h.

◆ b2MulT() [2/6]

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

inline

Definition at line 514 of file b2_math.h.

◆ b2MulT() [3/6]

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

inline

Transpose multiply two rotations: qT * r.

Definition at line 547 of file b2_math.h.

◆ b2MulT() [4/6]

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

inline

Inverse rotate a vector.

Definition at line 566 of file b2_math.h.

◆ b2MulT() [5/6]

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

inline

Definition at line 579 of file b2_math.h.

◆ b2MulT() [6/6]

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

inline

Definition at line 601 of file b2_math.h.

◆ b2NextPowerOfTwo()

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 670 of file b2_math.h.

◆ b2Swap()

template<typename T >

void b2Swap	(	T &	a,
		T &	b
	)

inline

Definition at line 658 of file b2_math.h.

◆ operator!=()

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

inline

Definition at line 456 of file b2_math.h.

◆ operator*() [1/2]

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

inline

Definition at line 446 of file b2_math.h.

◆ operator*() [2/2]

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

inline

Definition at line 473 of file b2_math.h.

◆ operator+() [1/3]

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

inline

Add two vectors component-wise.

Definition at line 435 of file b2_math.h.

◆ operator+() [2/3]

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

inline

Add two vectors component-wise.

Definition at line 479 of file b2_math.h.

◆ operator+() [3/3]

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

inline

Definition at line 502 of file b2_math.h.

◆ operator-() [1/2]

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

inline

Subtract two vectors component-wise.

Definition at line 441 of file b2_math.h.

◆ operator-() [2/2]

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

inline

Subtract two vectors component-wise.

Definition at line 485 of file b2_math.h.

◆ operator==()

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

inline

Definition at line 451 of file b2_math.h.

Variable Documentation

◆ b2Vec2_zero

B2_API const b2Vec2 b2Vec2_zero

Useful constant.

Classes

Macros

Functions

Variables

Macro Definition Documentation

◆ b2Atan2

◆ b2Sqrt

Function Documentation

◆ b2Abs() [1/3]

◆ b2Abs() [2/3]

◆ b2Abs() [3/3]

◆ b2Clamp() [1/2]

◆ b2Clamp() [2/2]

◆ b2Cross() [1/4]

◆ b2Cross() [2/4]

◆ b2Cross() [3/4]

◆ b2Cross() [4/4]

◆ b2Distance()

◆ b2DistanceSquared()

◆ b2Dot() [1/2]

◆ b2Dot() [2/2]

◆ b2IsPowerOfTwo()

◆ b2IsValid()

◆ b2Max() [1/2]

◆ b2Max() [2/2]

◆ b2Min() [1/2]

◆ b2Min() [2/2]

◆ b2Mul() [1/7]

◆ b2Mul() [2/7]

◆ b2Mul() [3/7]

◆ b2Mul() [4/7]

◆ b2Mul() [5/7]

◆ b2Mul() [6/7]

◆ b2Mul() [7/7]

◆ b2Mul22()

◆ b2MulT() [1/6]

◆ b2MulT() [2/6]

◆ b2MulT() [3/6]

◆ b2MulT() [4/6]

◆ b2MulT() [5/6]

◆ b2MulT() [6/6]

◆ b2NextPowerOfTwo()

◆ b2Swap()

◆ operator!=()

◆ operator*() [1/2]

◆ operator*() [2/2]

◆ operator+() [1/3]

◆ operator+() [2/3]

◆ operator+() [3/3]

◆ operator-() [1/2]

◆ operator-() [2/2]

◆ operator==()

Variable Documentation

◆ b2Vec2_zero