Vec3D Functions

API functions that utilize the vec3d class are grouped here. For details of the class, including member functions, see vec3d.

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Functions
double	dist (const vec3d &in a, const vec3d &in b)
double	dist_squared (const vec3d &in a, const vec3d &in b)
double	dot (const vec3d &in a, const vec3d &in b)
vec3d	cross (const vec3d &in a, const vec3d &in b)
double	angle (const vec3d &in a, const vec3d &in b)
double	signed_angle (const vec3d &in a, const vec3d &in b, const vec3d &in ref)
double	cos_angle (const vec3d &in a, const vec3d &in b)
vec3d	RotateArbAxis (const vec3d &in p, double theta, const vec3d &in axis)

Detailed Description

Function Documentation

angle()

double angle	(	const vec3d &in	a,
		const vec3d &in	b
	)

Calculate the angle between two vec3d inputs (dot product divided by their magnitudes multiplied)

Parameters

[in]	a	First vec3d
[in]	b	Second vec3d

Returns

Angle in Radians

cos_angle()

double cos_angle	(	const vec3d &in	a,
		const vec3d &in	b
	)

Calculate the cosine of angle between two vec3d inputs

See also

angle

Parameters

[in]	a	First vec3d
[in]	b	Second vec3d

Returns

Angle in Radians

cross()

vec3d cross	(	const vec3d &in	a,
		const vec3d &in	b
	)

Calculate the cross product between two vec3d inputs

Parameters

[in]	a	First vec3d
[in]	b	Second vec3d

Returns

Cross product

dist()

double dist	(	const vec3d &in	a,
		const vec3d &in	b
	)

Calculate the distance between two vec3d inputs

See also

dist_squared

Parameters

[in]	a	First vec3d
[in]	b	Second vec3d

Returns

Distance

dist_squared()

double dist_squared	(	const vec3d &in	a,
		const vec3d &in	b
	)

Calculate distance squared between two vec3d inputs

See also

dist

Parameters

[in]	a	First vec3d
[in]	b	Second vec3d

Returns

Distance squared

dot()

double dot	(	const vec3d &in	a,
		const vec3d &in	b
	)

Calculate the dot product between two vec3d inputs

Parameters

[in]	a	First vec3d
[in]	b	Second vec3d

Returns

Dot product

RotateArbAxis()

vec3d RotateArbAxis	(	const vec3d &in	p,
		double	theta,
		const vec3d &in	axis
	)

Rotate a input point by specified angle around an arbitrary axis. Assume right hand coordinate system

Parameters

[in]	p	Coordinate point to rotate
[in]	theta	Angle of rotation in Radians
[in]	axis	Reference axis for rotation

Returns

Coordinates of rotated point

signed_angle()

double signed_angle	(	const vec3d &in	a,
		const vec3d &in	b,
		const vec3d &in	ref
	)

Calculate the signed angle between two vec3d inputs (dot product divided by their magnitudes multiplied) and an input reference axis

Parameters

[in]	a	First vec3d
[in]	b	Second vec3d
[in]	ref	Reference axis

Returns

Angle in Radians