Vector

Vector math utils.

import nvtools as nv

# create new vectors
a = nv.Vector(1, -1, 1)
b = nv.Vector(2, 1, -3)

# useful methods
a.length
a.angle(b)
a.scalar_product(b)
a.cross_product(b)

class nvtools.vector.NVVector[source]

NV unit vectors.

property vectors: NV unit vectors.

$\hat{n}_1 = \frac{1}{\sqrt{3}} \begin{pmatrix} 1 \\ 1 \\ 1 \end{pmatrix} \enspace \hat{n}_2 = \frac{1}{\sqrt{3}} \begin{pmatrix} -1 \\ -1 \\ 1 \end{pmatrix} \enspace \hat{n}_3 = \frac{1}{\sqrt{3}} \begin{pmatrix} -1 \\ 1 \\ -1 \end{pmatrix} \enspace \hat{n}_4 = \frac{1}{\sqrt{3}} \begin{pmatrix} 1 \\ -1 \\ -1 \end{pmatrix}$

class nvtools.vector.Vector(*args)[source]

N-dim Vector.

angle(other) → float[source]: Angle between self and other in radians.

$\text{angle} = \arccos\left(\frac{\vec{v}_1 \cdot \vec{v}_2}{|\vec{v}_1| |\vec{v}_2|}\right)$

angle_normal(other) → float[source]: Angle between self and normal vector of a plane.

$\text{angle normal} = \arcsin\left(\frac{\vec{v}_1 \cdot \vec{n}_2}{|\vec{v}_1| |\vec{n}_2|}\right)$

cross_product(other) → Vector[source]: Cross Product between self and other.

property dim: float: Dimensionality.

property length: float: Euclidian length.

$\text{length} = \sqrt{\sum_i v_i}$

normalize() → Vector[source]: Normalize to unit length.

rotate(u: Vector, theta: float) → Vector[source]

Rotate around arbitrary axis.

Parameters:

u (Vector) – Rotation axis (Vector of arbitrary length)
theta (float) – Rotation angle in radians

scalar_product(other) → float[source]: Scalar Product between self and other.

property x: X component.

property y: Y component.

property z: Z component.