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Calcium is a C library for real and complex numbers in a form suitable forexact algebraic and symbolic computation. Numbers are represented as elementsof fields $\mathbb{Q}(a_1,\ldots,a_n)$ where the extensions numbers $a_k$ maybe algebraic or transcendental. The system combines efficient field operationswith automatic discovery and certification of algebraic relations, resulting ina practical computational model of $\mathbb{R}$ and $\mathbb{C}$ in whichequality is rigorously decidable for a large class of numbers.

Calcium: computing in exact real and complex fields