Geometry Calculator

Disparate utilities for calculating coordinates and other elements of geometric constructions.

Further Sections

• API
  • Module pavpen.geometry_calculator
• Source Code
• License

Example

What using this package may be like:

>>> # Calculate an orthonormal basis of a space that spans a given set of
>>> # points
>>>
>>> import math
>>> from pavpen.geometry_calculator import OrthonormalBasisCalculator
>>> from pavpen.geometry_calculator.vector_field_implementations import (
...    TupleFloatVectorFieldOperations,
... )
>>>
>>> OrthonormalBasisCalculator(
...    vector_field_operations=TupleFloatVectorFieldOperations.for_3d(),
...    float_tolerance=1e-8,
...    points=((0, 0, 0), (0, 2, 0), (0, 0, -2)),
... ).calculate().basis_vectors
[(0.0, 1.0, 0.0), (0.0, 0.0, -1.0)]

Notes

• Algebraic operations are separate from the objects storing vectors. This allows treating existing objects as vectors without having to modify their inheritance hierarchy, or wrap them.

  • In the above example TupleFloatVectorFieldOperations.for_3d() returns an object which treats a tuple[float, float, float] as a 3-dimensional orthonormal vector.

  • The points argument is an example of using such tuples to specify the points, which the requested orthonormal basis should span.

  • The basis_vectors result also uses such tuples.

Installation

Install from PyPI using your favorite Python package manager. E.g.:

pip install pavpen-geometry-calculator