Pi calculation implementations
The following programs implement known numerical methods for calculating pi. Simpson.c uses the well known Newton-Côtes style algortihm. Gauss.c uses Legendre-Gaussian quadrature method. Legendre's roots are calculated using bisection and Newton for node approximation. Both try to approximate the numerical integral of 4/(1+x^2) between 0 and 1.
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Compilation: Tried using gcc version 7.3.0 (Ubuntu 7.3.0-27ubuntu1~18.04) Compile with gcc -Wall "...".c -lm Use -fopenmp for montecarlo code.