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, copylist, deepcopy])	Class for collection of Point objects.
Vector	Abstract object representation of a vector in \(R^n\)
Vectors([vectors, copylist, deepcopy])	Class for collection of Vector objects.

Linear algebra transforms

rotate(obj[, angle, axis, rot_axis, ...])	Rotate object.
scale()
translate(obj, t)	Translate object points by a vector t.
Rx(angle[, deg2rad])	Generate the \(3\times3\) rotation matrix \(R_x(\theta)\) for a rotation about the \(x\) axis by an angle \(\theta\).
Ry(angle[, deg2rad])	Generate the \(3\times3\) rotation matrix \(R_y(\theta)\) for a rotation about the \(y\) axis by an angle \(\theta\).
Rz(angle[, deg2rad])	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 normal to the vector v.
rotation_matrix([angle, axis, rot_axis, ...])	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 \(n\).