Core data structures for math (sknano.core.math)

Contents

Abstract object representations for points and vectors

Point	Abstract object representation for a point in $R^n$.
Points([points])	Container class for collection of Point objects.
Vector	Abstract object representation of a vector in $R^n$
Vectors([vectors])	Container class for collection of Vector objects.

Linear algebra transforms

rotate(obj[, angle, axis, anchor_point, ...])	Rotate object.
Rx(angle[, degrees])	Generate the $3\times3$ rotation matrix $R_x(\theta)$ for a rotation about the $x$ axis by an angle $\theta$.
Ry(angle[, degrees])	Generate the $3\times3$ rotation matrix $R_y(\theta)$ for a rotation about the $y$ axis by an angle $\theta$.
Rz(angle[, degrees])	Generate the $3\times3$ rotation matrix $R_z(\theta)$ for a rotation about the $z$ axis by an angle $\theta$.
reflection_matrix(v)	Generate reflection matrix that represents reflection of points in a mirror plane defined by normal Vector v.
rotation_matrix([angle, axis, anchor_point, ...])	Generate an $n\times n$ rotation matrix.
scaling_matrix([s, v])	Return scaling matrix.
transformation_matrix([angle, axis, ...])	Generate an $(n+1)\times(n+1)$ transformation matrix for an affine transformation in $n$ dimensions.
axis_angle_from_rotation_matrix(rmatrix)	Compute the rotation axis and angle from a rotation matrix.

Number theory

totient_func([n])

Compute the totatives of $n$.