CLI for Mathematica and Symathica

Mathematica

A library for abstract scientific computations and contains computational methods implementation.
Uses C++20 concepts to abstract algorithms and data structures on algebraic types such as Field, Real numbers and so on.
Basic data structures as Matrix, Vector, Polynomial implemented.
Solve systems of linear equations using Gauss and Simple Iteration methods.
Solve equations with only variable using Half-Division, Newton, Simple Iteration methods.
Compute an integral of one-argument continuous function on given interval using Cotes methods.
Approximate one-argument function with Polynomial using Least Sqares method.
Find some statistics such as PCC, RSS.

A library for symbolic computations.
Supports basic operations such as Addition, Substraction, Multiplication, Division, Negation, Exponentiation.
Leaf of Expression is either a Variable or Literal.
Has a DSL to build Expression tree easily.
Use Evaluator visitor to set values (or other expressions) to variables and compute concrete value of a given Expression.
Use Optimizer visitor to optimize expression by applying transformations such as a + 0 = a, a * 1 = a, 2 + 2 = 4, and many-many others.
Use Derivativer visitor to find an Expression that is a precise dervivative of a given Expression. Then you can optimize it using Optimizer and compute using Evaluator.
Goal 1: Add custom functions (sin, cos, ln) and its
derivatives to expand the application area.
Goal 2: Integrate it with Mathematica and create an implementation of Field by Expression tree to be able to run abstract algorihms on symbolic expressions.

Requirements:

bash ci/project/build.sh
bash ci/project/test.sh
./build/math-tool --help