FullMat.hpp

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/*******************************************************************************
 * Copyright (C) 2017-2026 Theodore Chang
 *
 * This program is free software: you can redistribute it and/or modify
 * it under the terms of the GNU General Public License as published by
 * the Free Software Foundation, either version 3 of the License, or
 * (at your option) any later version.
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 * but WITHOUT ANY WARRANTY; without even the implied warranty of
 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 * GNU General Public License for more details.
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// ReSharper disable CppCStyleCast
#ifndef FULLMAT_HPP
#define FULLMAT_HPP
 
#include "../DenseMat.hpp"
 
template<sp_d T> class FullMat : public DenseMat<T> {
    static constexpr auto TRAN = 'N';
 
    int solve_trs(Mat<T>&, Mat<T>&&);
 
protected:
    using DenseMat<T>::direct_solve;
 
    int direct_solve(Mat<T>&, Mat<T>&&) override;
 
public:
    FullMat(const uword in_rows, const uword in_cols)
        : DenseMat<T>(in_rows, in_cols, in_rows * in_cols) {}
 
    unique_ptr<MetaMat<T>> unique_copy() override { return std::make_unique<FullMat>(*this); }
 
    void nullify(const uword K) override {
        this->factored = false;
        suanpan::for_each(this->n_rows, [&](const uword I) { this->at(I, K) = T(0); });
        suanpan::for_each(this->n_cols, [&](const uword I) { this->at(K, I) = T(0); });
    }
 
    T operator()(const uword in_row, const uword in_col) const override { return this->memory[in_row + in_col * this->n_rows]; }
 
    T& at(const uword in_row, const uword in_col) override {
        this->factored = false;
        return this->memory[in_row + in_col * this->n_rows];
    }
 
    Mat<T> operator*(const Mat<T>&) const override;
 
    [[nodiscard]] int sign_det() const override {
        std::function<bool(uword)> neg_diag;
        if(Precision::FULL == this->setting.precision) neg_diag = [&](const uword i) { return this->memory[i + i * this->n_rows] < 0.; };
        else neg_diag = [&](const uword i) { return this->s_memory[i + i * this->n_rows] < 0.f; };
 
        auto det_sign = 1;
        for(unsigned I = 0; I < this->pivot.n_elem; ++I)
            if(neg_diag(I) ^ (static_cast<int>(I) + 1 != this->pivot(I))) det_sign = -det_sign;
        return det_sign;
    }
};
 
template<sp_d T> Mat<T> FullMat<T>::operator*(const Mat<T>& B) const {
    Mat<T> C(arma::size(B));
 
    const auto M = static_cast<blas_int>(this->n_rows);
    const auto N = static_cast<blas_int>(this->n_cols);
 
    static constexpr T ALPHA{1}, BETA{0};
 
    if(1 == B.n_cols) {
        static constexpr blas_int INC = 1;
 
        if constexpr(std::is_same_v<T, float>) arma_fortran(arma_sgemv)(&TRAN, &M, &N, &ALPHA, this->memptr(), &M, B.memptr(), &INC, &BETA, C.memptr(), &INC);
        else arma_fortran(arma_dgemv)(&TRAN, &M, &N, &ALPHA, this->memptr(), &M, B.memptr(), &INC, &BETA, C.memptr(), &INC);
    }
    else {
        const auto K = static_cast<blas_int>(B.n_cols);
 
        if constexpr(std::is_same_v<T, float>) arma_fortran(arma_sgemm)(&TRAN, &TRAN, &M, &K, &N, &ALPHA, this->memptr(), &M, B.memptr(), &N, &BETA, C.memptr(), &M);
        else arma_fortran(arma_dgemm)(&TRAN, &TRAN, &M, &K, &N, &ALPHA, this->memptr(), &M, B.memptr(), &N, &BETA, C.memptr(), &M);
    }
 
    return C;
}
 
template<sp_d T> int FullMat<T>::direct_solve(Mat<T>& X, Mat<T>&& B) {
    if(this->factored) return this->solve_trs(X, std::move(B));
 
    suanpan_assert([&] { if(this->n_rows != this->n_cols) throw std::invalid_argument("requires a square matrix"); });
 
    blas_int INFO = 0;
 
    auto N = static_cast<blas_int>(this->n_rows);
    const auto NRHS = static_cast<blas_int>(B.n_cols);
    const auto LDB = static_cast<blas_int>(B.n_rows);
    this->pivot.zeros(N);
    this->factored = true;
 
    if constexpr(std::is_same_v<T, float>) {
        arma_fortran(arma_sgesv)(&N, &NRHS, this->memptr(), &N, this->pivot.memptr(), B.memptr(), &LDB, &INFO);
        X = std::move(B);
    }
    else if(Precision::FULL == this->setting.precision) {
        arma_fortran(arma_dgesv)(&N, &NRHS, this->memptr(), &N, this->pivot.memptr(), B.memptr(), &LDB, &INFO);
        X = std::move(B);
    }
    else {
        this->s_memory = this->to_float();
        arma_fortran(arma_sgetrf)(&N, &N, this->s_memory.memptr(), &N, this->pivot.memptr(), &INFO);
        if(0 == INFO) INFO = this->solve_trs(X, std::move(B));
    }
 
    if(0 != INFO)
        suanpan_error("Error code {} received, the matrix is probably singular.\n", INFO);
 
    return INFO;
}
 
template<sp_d T> int FullMat<T>::solve_trs(Mat<T>& X, Mat<T>&& B) {
    blas_int INFO = 0;
 
    const auto N = static_cast<blas_int>(this->n_rows);
    const auto NRHS = static_cast<blas_int>(B.n_cols);
    const auto LDB = static_cast<blas_int>(B.n_rows);
 
    if constexpr(std::is_same_v<T, float>) {
        arma_fortran(arma_sgetrs)(&TRAN, &N, &NRHS, this->memptr(), &N, this->pivot.memptr(), B.memptr(), &LDB, &INFO);
        X = std::move(B);
    }
    else if(Precision::FULL == this->setting.precision) {
        arma_fortran(arma_dgetrs)(&TRAN, &N, &NRHS, this->memptr(), &N, this->pivot.memptr(), B.memptr(), &LDB, &INFO);
        X = std::move(B);
    }
    else
        this->mixed_trs(X, std::move(B), [&](fmat& residual) {
            arma_fortran(arma_sgetrs)(&TRAN, &N, &NRHS, this->s_memory.memptr(), &N, this->pivot.memptr(), residual.memptr(), &LDB, &INFO);
            return INFO;
        });
 
    return INFO;
}
 
#endif