msmath 1.0.20

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msmath package

mathematical Python classes

Classes implementing

• finite fields (ffield.py)
• Z_m finite rings (fring.py)
• rationals: real, complex, quaternion (rational.py)
• quaternions (quaternion.py)
• binary matrices and matrices over any ring (matrix.py)
• single-variable polynomials and rational functions with coefficients in any field (poly.py)
• undirected graphs (graph.py)
• bitstrings (bitstrings.py)

Support modules:

• conversions.py: utilities for Python 2 and 3 compatibility
• numfuns.py: assorted numerical functions
• ffpoly.py: functions to enumerate irreducible polynomials mod p

Demonstration modules:

• bch.py: create BCH codes using the classes
• share.py: secret sharing using finite fields
• optable.py: create a printable op table for a finite ring

Standalone test programs for the various classes are included:

• test_bitstring.py tests bitstring classes
• test_ffield.py primarily tests ffield.py, but also uses matrix.py and poly.py
• test_matrix.py primarily tests matrix.py, but also uses poly.py and rational.py
• test_poly.py primarily tests poly.py, but also uses ffield.py and rational.py
• test_rational.py tests rational classes