Quaternion

Data Structures
struct	_Eina_Quaternion
struct	_Eina_Quaternion_F16p16
struct	_Eina_Point_3D
struct	_Eina_Point_3D_F16p16

Typedefs
typedef struct _Eina_Quaternion_F16p16	Eina_Quaternion_F16p16
typedef struct _Eina_Quaternion	Eina_Quaternion
typedef struct _Eina_Point_3D	Eina_Point_3D
typedef struct _Eina_Point_3D_F16p16	Eina_Point_3D_F16p16

Functions
void	eina_quaternion_f16p16_set (Eina_Quaternion *out, Eina_F16p16 x, Eina_F16p16 y, Eina_F16p16 z, Eina_F16p16 w)
Eina_F16p16	eina_quaternion_f16p16_norm (const Eina_Quaternion_F16p16 *q)
void	eina_quaternion_f16p16_negative (Eina_Quaternion_F16p16 *out, const Eina_Quaternion_F16p16 *in)
void	eina_quaternion_f16p16_add (Eina_Quaternion_F16p16 *out, const Eina_Quaternion_F16p16 *a, const Eina_Quaternion_F16p16 *b)
void	eina_quaternion_f16p16_mul (Eina_Quaternion_F16p16 *out, const Eina_Quaternion_F16p16 *a, const Eina_Quaternion_F16p16 *b)
void	eina_quaternion_f16p16_scale (Eina_Quaternion_F16p16 *out, const Eina_Quaternion_F16p16 *a, Eina_F16p16 b)
void	eina_quaternion_f16p16_conjugate (Eina_Quaternion_F16p16 *out, const Eina_Quaternion_F16p16 *in)
Eina_F16p16	eina_quaternion_f16p16_dot (const Eina_Quaternion_F16p16 *a, const Eina_Quaternion_F16p16 *b)
void	eina_quaternion_f16p16_lerp (Eina_Quaternion_F16p16 *out, const Eina_Quaternion_F16p16 *a, const Eina_Quaternion_F16p16 *b, Eina_F16p16 pos)
void	eina_quaternion_f16p16_slerp (Eina_Quaternion_F16p16 *out, const Eina_Quaternion_F16p16 *a, const Eina_Quaternion_F16p16 *b, Eina_F16p16 pos)
void	eina_quaternion_f16p16_nlerp (Eina_Quaternion_F16p16 *out, const Eina_Quaternion_F16p16 *a, const Eina_Quaternion_F16p16 *b, Eina_F16p16 pos)
void	eina_quaternion_f16p16_rotate (Eina_Point_3D_F16p16 *p, const Eina_Point_3D_F16p16 *center, const Eina_Quaternion_F16p16 *q)
void	eina_quaternion_f16p16_rotation_matrix3_get (Eina_Matrix3_F16p16 *m, const Eina_Quaternion_F16p16 *q)
void	eina_quaternion_set (Eina_Quaternion *q, double x, double y, double z, double w)
double	eina_quaternion_norm (const Eina_Quaternion *q)
void	eina_quaternion_negative (Eina_Quaternion *out, const Eina_Quaternion *in)
void	eina_quaternion_add (Eina_Quaternion *out, const Eina_Quaternion *a, const Eina_Quaternion *b)
void	eina_quaternion_mul (Eina_Quaternion *out, const Eina_Quaternion *a, const Eina_Quaternion *b)
void	eina_quaternion_scale (Eina_Quaternion *out, const Eina_Quaternion *a, double b)
void	eina_quaternion_conjugate (Eina_Quaternion *out, const Eina_Quaternion *in)
double	eina_quaternion_dot (const Eina_Quaternion *a, const Eina_Quaternion *b)
void	eina_quaternion_normalized (Eina_Quaternion *out, const Eina_Quaternion *in)
void	eina_quaternion_lerp (Eina_Quaternion *out, const Eina_Quaternion *a, const Eina_Quaternion *b, double pos)
void	eina_quaternion_slerp (Eina_Quaternion *out, const Eina_Quaternion *a, const Eina_Quaternion *b, double pos)
void	eina_quaternion_nlerp (Eina_Quaternion *out, const Eina_Quaternion *a, const Eina_Quaternion *b, double pos)
void	eina_quaternion_rotate (Eina_Point_3D *p, const Eina_Point_3D *center, const Eina_Quaternion *q)
void	eina_quaternion_rotation_matrix3_get (Eina_Matrix3 *m, const Eina_Quaternion *q)
void	eina_matrix3_quaternion_get (Eina_Quaternion *q, const Eina_Matrix3 *m)
Eina_Bool	eina_matrix4_quaternion_to (Eina_Quaternion *rotation, Eina_Quaternion *perspective, Eina_Point_3D *translation, Eina_Point_3D *scale, Eina_Point_3D *skew, const Eina_Matrix4 *m)
void	eina_quaternion_matrix4_to (Eina_Matrix4 *m, const Eina_Quaternion *rotation, const Eina_Quaternion *perspective, const Eina_Point_3D *translation, const Eina_Point_3D *scale, const Eina_Point_3D *skew)
void	eina_quaternion_inverse (Eina_Quaternion *out, const Eina_Quaternion *q)
	Compute the inverse of the given quaternion. More...
void	eina_quaternion_array_set (Eina_Quaternion *dst, const double *v)
	Set array to quaternion. More...
void	eina_quaternion_copy (Eina_Quaternion *dst, const Eina_Quaternion *src)
	Copy quaternion. More...
void	eina_quaternion_homogeneous_regulate (Eina_Quaternion *out, const Eina_Quaternion *v)
	Homogeneous quaternion. More...
void	eina_quaternion_subtract (Eina_Quaternion *out, const Eina_Quaternion *a, const Eina_Quaternion *b)
	Subtract two quaternions. More...
double	eina_quaternion_length_get (const Eina_Quaternion *v)
	Return the length of the given quaternion. More...
double	eina_quaternion_length_square_get (const Eina_Quaternion *v)
	Return the length in square of the given quaternion. More...
double	eina_quaternion_distance_get (const Eina_Quaternion *a, const Eina_Quaternion *b)
	Return the distance between of two quaternions. More...
double	eina_quaternion_distance_square_get (const Eina_Quaternion *a, const Eina_Quaternion *b)
	Return the distance in square between of two quaternions. More...
void	eina_quaternion_transform (Eina_Quaternion *out, const Eina_Quaternion *v, const Eina_Matrix4 *m)
	Transform quaternion. More...
double	eina_quaternion_angle_plains (Eina_Quaternion *a, Eina_Quaternion *b)
	Return the angle plains between of two quaternions. More...

Detailed Description

Function Documentation

eina_quaternion_f16p16_set()

void eina_quaternion_f16p16_set	(	Eina_Quaternion *	out,
		Eina_F16p16	x,
		Eina_F16p16	y,
		Eina_F16p16	z,
		Eina_F16p16	w
	)

Since

1.15

eina_quaternion_f16p16_norm()

Eina_F16p16 eina_quaternion_f16p16_norm

(

const Eina_Quaternion_F16p16 *

q

)

Since

1.15

References eina_f16p16_add(), eina_f16p16_mul(), and eina_f16p16_sqrt().

eina_quaternion_f16p16_negative()

void eina_quaternion_f16p16_negative	(	Eina_Quaternion_F16p16 *	out,
		const Eina_Quaternion_F16p16 *	in
	)

Since

1.15

References eina_f16p16_sub().

Referenced by eina_quaternion_f16p16_nlerp(), and eina_quaternion_f16p16_slerp().

eina_quaternion_f16p16_add()

void eina_quaternion_f16p16_add	(	Eina_Quaternion_F16p16 *	out,
		const Eina_Quaternion_F16p16 *	a,
		const Eina_Quaternion_F16p16 *	b
	)

Since

1.15

References eina_f16p16_add().

Referenced by eina_quaternion_f16p16_nlerp(), and eina_quaternion_f16p16_slerp().

eina_quaternion_f16p16_mul()

void eina_quaternion_f16p16_mul	(	Eina_Quaternion_F16p16 *	out,
		const Eina_Quaternion_F16p16 *	a,
		const Eina_Quaternion_F16p16 *	b
	)

Since

1.15

References eina_f16p16_add(), eina_f16p16_mul(), and eina_f16p16_sub().

eina_quaternion_f16p16_scale()

void eina_quaternion_f16p16_scale	(	Eina_Quaternion_F16p16 *	out,
		const Eina_Quaternion_F16p16 *	a,
		Eina_F16p16	b
	)

Since

1.15

References eina_f16p16_scale().

Referenced by eina_quaternion_f16p16_nlerp(), and eina_quaternion_f16p16_slerp().

eina_quaternion_f16p16_conjugate()

void eina_quaternion_f16p16_conjugate	(	Eina_Quaternion_F16p16 *	out,
		const Eina_Quaternion_F16p16 *	in
	)

Since

1.15

References eina_f16p16_sub().

eina_quaternion_f16p16_dot()

Eina_F16p16 eina_quaternion_f16p16_dot	(	const Eina_Quaternion_F16p16 *	a,
		const Eina_Quaternion_F16p16 *	b
	)

Since

1.15

References eina_f16p16_add(), and eina_f16p16_mul().

Referenced by eina_quaternion_f16p16_nlerp(), and eina_quaternion_f16p16_slerp().

eina_quaternion_f16p16_lerp()

void eina_quaternion_f16p16_lerp	(	Eina_Quaternion_F16p16 *	out,
		const Eina_Quaternion_F16p16 *	a,
		const Eina_Quaternion_F16p16 *	b,
		Eina_F16p16	pos
	)

Since

1.15

References eina_f16p16_add(), eina_f16p16_int_from(), eina_f16p16_mul(), and eina_f16p16_sub().

eina_quaternion_f16p16_slerp()

void eina_quaternion_f16p16_slerp	(	Eina_Quaternion_F16p16 *	out,
		const Eina_Quaternion_F16p16 *	a,
		const Eina_Quaternion_F16p16 *	b,
		Eina_F16p16	pos
	)

Since

1.15

References eina_f16p16_double_to(), eina_f16p16_float_from(), eina_f16p16_int_from(), eina_f16p16_sub(), eina_f16p16_to_f32p32(), eina_f32p32_div(), eina_f32p32_double_from(), eina_f32p32_mul(), eina_f32p32_sin(), eina_f32p32_to_f16p16(), eina_quaternion_f16p16_add(), eina_quaternion_f16p16_dot(), eina_quaternion_f16p16_negative(), and eina_quaternion_f16p16_scale().

eina_quaternion_f16p16_nlerp()

void eina_quaternion_f16p16_nlerp	(	Eina_Quaternion_F16p16 *	out,
		const Eina_Quaternion_F16p16 *	a,
		const Eina_Quaternion_F16p16 *	b,
		Eina_F16p16	pos
	)

Since

1.15

References eina_f16p16_int_from(), eina_f16p16_sub(), eina_quaternion_f16p16_add(), eina_quaternion_f16p16_dot(), eina_quaternion_f16p16_negative(), and eina_quaternion_f16p16_scale().

eina_quaternion_f16p16_rotate()

void eina_quaternion_f16p16_rotate	(	Eina_Point_3D_F16p16 *	p,
		const Eina_Point_3D_F16p16 *	center,
		const Eina_Quaternion_F16p16 *	q
	)

Since

1.15

References eina_f16p16_add(), eina_f16p16_mul(), eina_f16p16_scale(), and eina_f16p16_sub().

eina_quaternion_f16p16_rotation_matrix3_get()

void eina_quaternion_f16p16_rotation_matrix3_get	(	Eina_Matrix3_F16p16 *	m,
		const Eina_Quaternion_F16p16 *	q
	)

Since

1.15

References eina_f16p16_add(), eina_f16p16_int_to(), eina_f16p16_mul(), eina_f16p16_scale(), and eina_f16p16_sub().

eina_quaternion_norm()

double eina_quaternion_norm

(

const Eina_Quaternion *

q

)

Since

1.15

Referenced by eina_quaternion_normalized().

eina_quaternion_negative()

void eina_quaternion_negative	(	Eina_Quaternion *	out,
		const Eina_Quaternion *	in
	)

Since

1.15

Referenced by eina_quaternion_nlerp(), and eina_quaternion_slerp().

eina_quaternion_add()

void eina_quaternion_add	(	Eina_Quaternion *	out,
		const Eina_Quaternion *	a,
		const Eina_Quaternion *	b
	)

Since

1.15

Referenced by eina_quaternion_nlerp(), and eina_quaternion_slerp().

eina_quaternion_mul()

void eina_quaternion_mul	(	Eina_Quaternion *	out,
		const Eina_Quaternion *	a,
		const Eina_Quaternion *	b
	)

Since

1.15

eina_quaternion_scale()

void eina_quaternion_scale	(	Eina_Quaternion *	out,
		const Eina_Quaternion *	a,
		double	b
	)

Since

1.15

Referenced by eina_quaternion_nlerp(), eina_quaternion_normalized(), and eina_quaternion_slerp().

eina_quaternion_conjugate()

void eina_quaternion_conjugate	(	Eina_Quaternion *	out,
		const Eina_Quaternion *	in
	)

Since

1.15

eina_quaternion_dot()

double eina_quaternion_dot	(	const Eina_Quaternion *	a,
		const Eina_Quaternion *	b
	)

Since

1.15

Referenced by eina_quaternion_nlerp(), and eina_quaternion_slerp().

eina_quaternion_normalized()

void eina_quaternion_normalized	(	Eina_Quaternion *	out,
		const Eina_Quaternion *	in
	)

Since

1.15

References eina_quaternion_norm(), and eina_quaternion_scale().

Referenced by eina_quaternion_nlerp().

eina_quaternion_lerp()

void eina_quaternion_lerp	(	Eina_Quaternion *	out,
		const Eina_Quaternion *	a,
		const Eina_Quaternion *	b,
		double	pos
	)

Since

1.15

References EINA_DBL_EQ.

eina_quaternion_slerp()

void eina_quaternion_slerp	(	Eina_Quaternion *	out,
		const Eina_Quaternion *	a,
		const Eina_Quaternion *	b,
		double	pos
	)

Since

1.15

References EINA_DBL_EQ, eina_quaternion_add(), eina_quaternion_dot(), eina_quaternion_negative(), and eina_quaternion_scale().

eina_quaternion_nlerp()

void eina_quaternion_nlerp	(	Eina_Quaternion *	out,
		const Eina_Quaternion *	a,
		const Eina_Quaternion *	b,
		double	pos
	)

Since

1.15

References EINA_DBL_EQ, eina_quaternion_add(), eina_quaternion_dot(), eina_quaternion_negative(), eina_quaternion_normalized(), and eina_quaternion_scale().

eina_quaternion_rotate()

void eina_quaternion_rotate	(	Eina_Point_3D *	p,
		const Eina_Point_3D *	center,
		const Eina_Quaternion *	q
	)

Since

1.15

eina_quaternion_rotation_matrix3_get()

void eina_quaternion_rotation_matrix3_get	(	Eina_Matrix3 *	m,
		const Eina_Quaternion *	q
	)

Since

1.15

eina_matrix3_quaternion_get()

void eina_matrix3_quaternion_get	(	Eina_Quaternion *	q,
		const Eina_Matrix3 *	m
	)

Since

1.15

eina_matrix4_quaternion_to()

Eina_Bool eina_matrix4_quaternion_to	(	Eina_Quaternion *	rotation,
		Eina_Quaternion *	perspective,
		Eina_Point_3D *	translation,
		Eina_Point_3D *	scale,
		Eina_Point_3D *	skew,
		const Eina_Matrix4 *	m
	)

Since

1.16

References EINA_DBL_EQ, EINA_FALSE, eina_matrix4_determinant(), eina_matrix4_inverse(), eina_matrix4_transpose(), and EINA_TRUE.

eina_quaternion_matrix4_to()

void eina_quaternion_matrix4_to	(	Eina_Matrix4 *	m,
		const Eina_Quaternion *	rotation,
		const Eina_Quaternion *	perspective,
		const Eina_Point_3D *	translation,
		const Eina_Point_3D *	scale,
		const Eina_Point_3D *	skew
	)

Since

1.16

References EINA_DBL_EQ, eina_matrix4_identity(), and eina_matrix4_multiply().

eina_quaternion_inverse()

void eina_quaternion_inverse	(	Eina_Quaternion *	out,
		const Eina_Quaternion *	q
	)

Compute the inverse of the given quaternion.

Parameters

[out]	out	The quaternion to invert.
[in]	q	The quaternion matrix.

This function inverses the quaternion q and stores the result in out.

Since

1.17

eina_quaternion_array_set()

void eina_quaternion_array_set	(	Eina_Quaternion *	dst,
		const double *	v
	)

Set array to quaternion.

Parameters

[out]	dst	The result quaternion
[in]	v	The the array[4] for set

Set to quaternion first 4 elements from array

Since

1.17

eina_quaternion_copy()

void eina_quaternion_copy	(	Eina_Quaternion *	dst,
		const Eina_Quaternion *	src
	)

Copy quaternion.

Parameters

[out]	dst	The quaternion copy
[in]	src	The quaternion for copy.

Since

1.17

Referenced by eina_quaternion_transform().

eina_quaternion_homogeneous_regulate()

void eina_quaternion_homogeneous_regulate	(	Eina_Quaternion *	out,
		const Eina_Quaternion *	v
	)

Homogeneous quaternion.

Parameters

[out]	out	The resulting quaternion
[in]	v	The given quaternion

Since

1.17

References EINA_DBL_EQ.

eina_quaternion_subtract()

void eina_quaternion_subtract	(	Eina_Quaternion *	out,
		const Eina_Quaternion *	a,
		const Eina_Quaternion *	b
	)

Subtract two quaternions.

Parameters

[out]	out	The resulting quaternion
[in]	a	The first member of the subtract
[in]	b	The second member of the subtract

Since

1.17

Referenced by eina_quaternion_distance_get(), and eina_quaternion_distance_square_get().

eina_quaternion_length_get()

double eina_quaternion_length_get

(

const Eina_Quaternion *

v

)

Return the length of the given quaternion.

Parameters

[out]

v

The quaternion.

Returns

The length.

Since

1.17

Referenced by eina_quaternion_distance_get().

eina_quaternion_length_square_get()

double eina_quaternion_length_square_get

(

const Eina_Quaternion *

v

)

Return the length in square of the given quaternion.

Parameters

[out]

v

The quaternion.

Returns

The length in square.

Since

1.17

Referenced by eina_quaternion_distance_square_get().

eina_quaternion_distance_get()

double eina_quaternion_distance_get	(	const Eina_Quaternion *	a,
		const Eina_Quaternion *	b
	)

Return the distance between of two quaternions.

Parameters

[in]	a	The first quaternion.
[in]	b	The second quaternion.

Returns

The distance.

Since

1.17

References eina_quaternion_length_get(), and eina_quaternion_subtract().

eina_quaternion_distance_square_get()

double eina_quaternion_distance_square_get	(	const Eina_Quaternion *	a,
		const Eina_Quaternion *	b
	)

Return the distance in square between of two quaternions.

Parameters

[in]	a	The first quaternion.
[in]	b	The second quaternion.

Returns

The distance in square.

Since

1.17

References eina_quaternion_length_square_get(), and eina_quaternion_subtract().

eina_quaternion_transform()

void eina_quaternion_transform	(	Eina_Quaternion *	out,
		const Eina_Quaternion *	v,
		const Eina_Matrix4 *	m
	)

Transform quaternion.

Parameters

[out]	out	The result quaternion.
[in]	v	The quaternion for transform.
[in]	m	The matrix for transform.

Since

1.17

References eina_matrix4_type_get(), EINA_MATRIX_TYPE_IDENTITY, and eina_quaternion_copy().

eina_quaternion_angle_plains()

double eina_quaternion_angle_plains	(	Eina_Quaternion *	a,
		Eina_Quaternion *	b
	)

Return the angle plains between of two quaternions.

Parameters

[in]	a	The first quaternion.
[in]	b	The second quaternion.

Returns

The angle.

Since

1.17