Floating point vectors in 3D

3D vector definition and operations More...

Data Structures
struct	_Eina_Vector3

Functions
static void	eina_vector3_set (Eina_Vector3 *dst, double x, double y, double z)
	Set parameters to vector. More...
static void	eina_vector3_array_set (Eina_Vector3 *dst, const double *v)
	Set array to vector. More...
static void	eina_vector3_copy (Eina_Vector3 *dst, const Eina_Vector3 *src)
	Copy vector. More...
static void	eina_vector3_negate (Eina_Vector3 *out, const Eina_Vector3 *v)
	Make negative vector. More...
static void	eina_vector3_add (Eina_Vector3 *out, const Eina_Vector3 *a, const Eina_Vector3 *b)
	Add two vectors. More...
static void	eina_vector3_subtract (Eina_Vector3 *out, const Eina_Vector3 *a, const Eina_Vector3 *b)
	Subtract two vectors. More...
static void	eina_vector3_scale (Eina_Vector3 *out, const Eina_Vector3 *v, double scale)
	Scale vector. More...
static void	eina_vector3_multiply (Eina_Vector3 *out, const Eina_Vector3 *a, const Eina_Vector3 *b)
	Multiply two vectors. More...
static double	eina_vector3_dot_product (const Eina_Vector3 *a, const Eina_Vector3 *b)
	Return the dot product of the two vectors. More...
static void	eina_vector3_cross_product (Eina_Vector3 *out, const Eina_Vector3 *a, const Eina_Vector3 *b)
	Create the cross product of the two vectors. More...
static double	eina_vector3_length_get (const Eina_Vector3 *v)
	Return the length of the given vector. More...
static double	eina_vector3_length_square_get (const Eina_Vector3 *v)
	Return the length in square of the given vector. More...
static double	eina_vector3_distance_get (const Eina_Vector3 *a, const Eina_Vector3 *b)
	Return the distance between of two vectors. More...
static double	eina_vector3_distance_square_get (const Eina_Vector3 *a, const Eina_Vector3 *b)
	Return the distance in square between of two vectors. More...
static double	eina_vector3_angle_get (const Eina_Vector3 *a, const Eina_Vector3 *b)
	Return the angle between of two vectors. More...
static void	eina_vector3_normalize (Eina_Vector3 *out, const Eina_Vector3 *v)
	normalize vector. More...
static void	eina_vector3_transform (Eina_Vector3 *out, const Eina_Matrix3 *m, const Eina_Vector3 *v)
	Transform vector. More...
static void	eina_vector3_homogeneous_direction_transform (Eina_Vector3 *out, const Eina_Matrix4 *m, const Eina_Vector3 *v)
	Homogeneous direction transform vector. More...
static void	eina_vector3_homogeneous_position_transform (Eina_Vector3 *out, const Eina_Matrix4 *m, const Eina_Vector3 *v)
	Homogeneous position transform vector. More...
static void	eina_vector3_quaternion_rotate (Eina_Vector3 *out, const Eina_Vector3 *v, const Eina_Quaternion *q)
	Rotate vector. More...
static void	eina_vector3_orthogonal_projection_on_plane (Eina_Vector3 *out, const Eina_Vector3 *v, const Eina_Vector3 *normal)
	Create orthogonal projection on plane between vector and normal. More...
static void	eina_vector3_plane_by_points (Eina_Quaternion *out, const Eina_Vector3 *a, const Eina_Vector3 *b, const Eina_Vector3 *c)
	Plane by points between three vectors. More...
static void	eina_vector3_homogeneous_position_set (Eina_Vector3 *out, const Eina_Quaternion *v)
	Homogeneous position set. More...
static void	eina_vector3_homogeneous_direction_set (Eina_Vector3 *out, const Eina_Quaternion *v)
	Homogeneous direction set. More...
static Eina_Bool	eina_vector3_equivalent (Eina_Vector3 *a, const Eina_Vector3 *b)
	Check the equivalent between of two vectors. More...
static Eina_Bool	eina_vector3_triangle_equivalent (Eina_Vector3 *v0, Eina_Vector3 *v1, Eina_Vector3 *v2, Eina_Vector3 *w0, Eina_Vector3 *w1, Eina_Vector3 *w2)
	Check the equivalent between of two triangles of vectors. More...

Detailed Description

3D vector definition and operations

Function Documentation

eina_vector3_set()

static void eina_vector3_set ( Eina_Vector3 *  dst, double  x, double  y, double  z  )

inlinestatic

Set parameters to vector.

Parameters

[out]	dst	The resulting vector.
[in]	x	The x component.
[in]	y	The y component.
[in]	z	The z component.

Since

1.18

eina_vector3_array_set()

static void eina_vector3_array_set ( Eina_Vector3 *  dst, const double *  v  )

inlinestatic

Set array to vector.

Parameters

[out]	dst	The resulting vector.
[in]	v	The the array[3] for set.

Set to vector first 3 elements from array.

Since

1.18

eina_vector3_copy()

static void eina_vector3_copy ( Eina_Vector3 *  dst, const Eina_Vector3 *  src  )

inlinestatic

Copy vector.

Parameters

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

Since

1.18

eina_vector3_negate()

static void eina_vector3_negate ( Eina_Vector3 *  out, const Eina_Vector3 *  v  )

inlinestatic

Make negative vector.

Parameters

[out]	out	The resulting vector.
[in]	v	The current vector.

Since

1.18

eina_vector3_add()

static void eina_vector3_add ( Eina_Vector3 *  out, const Eina_Vector3 *  a, const Eina_Vector3 *  b  )

inlinestatic

Add two vectors.

Parameters

[out]	out	The resulting vector.
[in]	a	The first member of the add.
[in]	b	The second member of the add.

Since

1.18

eina_vector3_subtract()

static void eina_vector3_subtract ( Eina_Vector3 *  out, const Eina_Vector3 *  a, const Eina_Vector3 *  b  )

inlinestatic

Subtract two vectors.

Parameters

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

Since

1.18

eina_vector3_scale()

static void eina_vector3_scale ( Eina_Vector3 *  out, const Eina_Vector3 *  v, double  scale  )

inlinestatic

Scale vector.

Parameters

[out]	out	The resulting vector.
[in]	v	The vector for scale.
[in]	scale	The scale value.

Since

1.18

eina_vector3_multiply()

static void eina_vector3_multiply ( Eina_Vector3 *  out, const Eina_Vector3 *  a, const Eina_Vector3 *  b  )

inlinestatic

Multiply two vectors.

Parameters

[out]	out	The resulting vector
[in]	a	The first member
[in]	b	The second member

Since

1.18

eina_vector3_dot_product()

static double eina_vector3_dot_product ( const Eina_Vector3 *  a, const Eina_Vector3 *  b  )

inlinestatic

Return the dot product of the two vectors.

Parameters

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

Returns

The dot product.

Since

1.18

eina_vector3_cross_product()

static void eina_vector3_cross_product ( Eina_Vector3 *  out, const Eina_Vector3 *  a, const Eina_Vector3 *  b  )

inlinestatic

Create the cross product of the two vectors.

Parameters

[out]	out	The resulting vector.
[in]	a	The first member.
[in]	b	The second member.

Since

1.18

eina_vector3_length_get()

static double eina_vector3_length_get ( const Eina_Vector3 *  v )

inlinestatic

Return the length of the given vector.

Parameters

[in]

v

The vector.

Returns

The length.

Since

1.18

eina_vector3_length_square_get()

static double eina_vector3_length_square_get ( const Eina_Vector3 *  v )

inlinestatic

Return the length in square of the given vector.

Parameters

[in]

v

The vector.

Returns

The length in square.

Since

1.18

eina_vector3_distance_get()

static double eina_vector3_distance_get ( const Eina_Vector3 *  a, const Eina_Vector3 *  b  )

inlinestatic

Return the distance between of two vectors.

Parameters

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

Returns

The distance.

Since

1.18

eina_vector3_distance_square_get()

static double eina_vector3_distance_square_get ( const Eina_Vector3 *  a, const Eina_Vector3 *  b  )

inlinestatic

Return the distance in square between of two vectors.

Parameters

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

Returns

The distance in square.

Since

1.18

eina_vector3_angle_get()

static double eina_vector3_angle_get ( const Eina_Vector3 *  a, const Eina_Vector3 *  b  )

inlinestatic

Return the angle between of two vectors.

Parameters

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

Returns

The angle.

Since

1.18

eina_vector3_normalize()

static void eina_vector3_normalize ( Eina_Vector3 *  out, const Eina_Vector3 *  v  )

inlinestatic

normalize vector.

Parameters

[out]	out	The resulting vector.
[in]	v	The not NULL vector for normalize.

Since

1.18

eina_vector3_transform()

static void eina_vector3_transform ( Eina_Vector3 *  out, const Eina_Matrix3 *  m, const Eina_Vector3 *  v  )

inlinestatic

Transform vector.

Parameters

[out]	out	The resulting vector.
[in]	m	The matrix for transform.
[in]	v	The vector for transform.

Since

1.18

eina_vector3_homogeneous_direction_transform()

static void eina_vector3_homogeneous_direction_transform ( Eina_Vector3 *  out, const Eina_Matrix4 *  m, const Eina_Vector3 *  v  )

inlinestatic

Homogeneous direction transform vector.

Parameters

[out]	out	The resulting vector.
[in]	m	The matrix for transform.
[in]	v	The vector for transform.

Since

1.18

eina_vector3_homogeneous_position_transform()

static void eina_vector3_homogeneous_position_transform ( Eina_Vector3 *  out, const Eina_Matrix4 *  m, const Eina_Vector3 *  v  )

inlinestatic

Homogeneous position transform vector.

Parameters

[out]	out	The resulting vector.
[in]	m	The matrix for transform.
[in]	v	The vector for transform.

Since

1.18

eina_vector3_quaternion_rotate()

static void eina_vector3_quaternion_rotate ( Eina_Vector3 *  out, const Eina_Vector3 *  v, const Eina_Quaternion *  q  )

inlinestatic

Rotate vector.

Parameters

[out]	out	The resulting vector.
[in]	v	The vector for rotate.
[in]	q	The quaternion in radians for rotate.

Since

1.18

eina_vector3_orthogonal_projection_on_plane()

static void eina_vector3_orthogonal_projection_on_plane ( Eina_Vector3 *  out, const Eina_Vector3 *  v, const Eina_Vector3 *  normal  )

inlinestatic

Create orthogonal projection on plane between vector and normal.

Parameters

[out]	out	The resulting vector.
[in]	v	The vector for projection.
[in]	normal	The normal for projection.

Since

1.18

eina_vector3_plane_by_points()

static void eina_vector3_plane_by_points ( Eina_Quaternion *  out, const Eina_Vector3 *  a, const Eina_Vector3 *  b, const Eina_Vector3 *  c  )

inlinestatic

Plane by points between three vectors.

Parameters

[out]	out	The resulting quaternion of plane.
[in]	a	The first member.
[in]	b	The second member.
[in]	c	The third member.

Since

1.18

eina_vector3_homogeneous_position_set()

static void eina_vector3_homogeneous_position_set ( Eina_Vector3 *  out, const Eina_Quaternion *  v  )

inlinestatic

Homogeneous position set.

Parameters

[out]	out	The resulting vector.
[in]	v	The quaternion for position.

Since

1.18

eina_vector3_homogeneous_direction_set()

static void eina_vector3_homogeneous_direction_set ( Eina_Vector3 *  out, const Eina_Quaternion *  v  )

inlinestatic

Homogeneous direction set.

Parameters

[out]	out	The resulting vector.
[in]	v	The quaternion for direction.

Since

1.18

eina_vector3_equivalent()

static Eina_Bool eina_vector3_equivalent ( Eina_Vector3 *  a, const Eina_Vector3 *  b  )

inlinestatic

Check the equivalent between of two vectors.

Parameters

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

Returns

The EINA_TRUE if equivalent.

Since

1.18

eina_vector3_triangle_equivalent()

static Eina_Bool eina_vector3_triangle_equivalent ( Eina_Vector3 *  v0, Eina_Vector3 *  v1, Eina_Vector3 *  v2, Eina_Vector3 *  w0, Eina_Vector3 *  w1, Eina_Vector3 *  w2  )

inlinestatic

Check the equivalent between of two triangles of vectors.

Parameters

[in]	v0	The first member of first triangle.
[in]	v1	The second member of first triangle.
[in]	v2	The third member of first triangle.
[in]	w0	The first member of second triangle.
[in]	w1	The second member of second triangle.
[in]	w2	The third member of second triangle.

Returns

The EINA_TRUE if equivalent.

Since

1.18