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C++ complex calculator with arrays, matrices, eigenvectors, functions
...A hash table is used to do fast variable and function lookup (they are entries in the same table). Collisions are handled in the hash table by making each entry a linked list. Written as C++ classes using the STL libraries <complex> and <vector>. The Numerical Recipes routines zroots and laguer rewritten in C++ find the complex roots of a polynomial with complex coefficients.
Complex quaternion calculator with Lorentz boosts and rotations
C++ code to perform the Lorentz boosts and rotations of special relativity using complex quaternions The interface is a complex quaternion console-based calculator with operations + - * / ^ and functions for Lorentz boosts and rotations.
THEORY
Complex quaternions have form q = A + B * I + C * J + D * K with A, B, C, D complex
I * I = -1 , J * J = -1 , K * K = -1, I * J = K, J * I = -K , J * K = I,K * J = -I, K * I = J, I * K = -J
Transpose T takes I into -I, J into -J, K...