README.md

С++ Template Compile-Time Differentiation

• version 0.01a

Test:

    tr::Variable<0> x0;
    tr::Variable<1> x1;
    tr::IntConstant<5> _5;
    tr::IntConstant<4> _4;
    tr::IntConstant<3> _3;
    tr::IntConstant<2> _2;
    tr::OneConstant _1;
    auto f = (x0 + _1) * sin(x0*x0) + cos(x1);
    std::cout<< f << std::endl;
    std::cout<< f({0.0, 0.0}) << std::endl;
    std::cout<< f({-1.0, 1.0}) << std::endl;
    using DX0 = tr::D<0, decltype(f)>;
    using DX1 = tr::D<1, decltype(f)>;
    DX0 dfdx0;
    DX1 dfdx1;
    std::cout<< dfdx0({0.0, 0.0}) << std::endl;
    std::cout<< dfdx1({-1.0, 1.0}) << std::endl;
    
    std::cout<< dfdx0 << std::endl;
    std::cout<< dfdx1 << std::endl;

TODO

• More simplification rules for all default
• Make everything we can constexpr
• More compilcated simplification rules
• Integration with popular math libraries