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CLI for Mathematica and Symatica. Enjoy abstract math algorithms and symbolic computations!

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CLI for Mathematica and Symathica

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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.

Symatica

  • 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.

Build & Run

Requirements:

  • cmake
  • clang 16
  • clang-tidy
  • clang-format
  • clangd
  • vscode
bash ci/project/build.sh
bash ci/project/test.sh
./build/math-tool --help

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CLI for Mathematica and Symatica. Enjoy abstract math algorithms and symbolic computations!

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