DenseMat.hpp

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/*******************************************************************************
 * Copyright (C) 2017-2024 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.
 *
 * This program is distributed in the hope that it will be useful,
 * 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.
 *
 * You should have received a copy of the GNU General Public License
 * along with this program.  If not, see <http://www.gnu.org/licenses/>.
 ******************************************************************************/
#ifndef DENSEMAT_HPP
#define DENSEMAT_HPP
 
#include "MetaMat.hpp"
 
template<sp_d T> uword round_up(const uword in_size) {
    constexpr auto multiple = 64llu / sizeof(T);
    return (in_size + multiple - 1llu) / multiple * multiple;
}
 
template<sp_d T> class DenseMat : public MetaMat<T> {
protected:
    using MetaMat<T>::direct_solve;
 
    int direct_solve(Mat<T>& X, const Mat<T>& B) override { return this->direct_solve(X, Mat<T>(B)); }
 
    podarray<int> pivot;
    podarray<float> s_memory; // float storage used in mixed precision algorithm
 
    std::unique_ptr<T[]> memory = nullptr;
 
    podarray<float> to_float() {
        podarray<float> f_memory(this->n_elem);
        suanpan::for_each(this->n_elem, [&](const uword I) { f_memory(I) = static_cast<float>(memory[I]); });
        return f_memory;
    }
 
public:
    DenseMat(const uword in_rows, const uword in_cols, const uword in_elem)
        : MetaMat<T>(in_rows, in_cols, in_elem)
        , memory(std::unique_ptr<T[]>(new T[this->n_elem])) { DenseMat::zeros(); }
 
    DenseMat(const DenseMat& old_mat)
        : MetaMat<T>(old_mat)
        , pivot(old_mat.pivot)
        , s_memory(old_mat.s_memory)
        , memory(std::unique_ptr<T[]>(new T[this->n_elem])) { suanpan::for_each(this->n_elem, [&](const uword I) { memory[I] = old_mat.memory[I]; }); }
 
    DenseMat(DenseMat&&) noexcept = delete;
    DenseMat& operator=(const DenseMat&) = delete;
    DenseMat& operator=(DenseMat&&) noexcept = delete;
    ~DenseMat() override = default;
 
    [[nodiscard]] bool is_empty() const override { return 0 == this->n_elem; }
 
    void zeros() override {
        this->factored = false;
        arrayops::fill_zeros(memptr(), this->n_elem);
    }
 
    [[nodiscard]] T max() const override {
        T max_value = T(1);
        for(uword I = 0; I < std::min(this->n_rows, this->n_cols); ++I) if(const auto t_val = this->operator()(I, I); t_val > max_value) max_value = t_val;
        return max_value;
    }
 
    [[nodiscard]] Col<T> diag() const override {
        Col<T> diag_vec(std::min(this->n_rows, this->n_cols), fill::none);
        suanpan::for_each(diag_vec.n_elem, [&](const uword I) { diag_vec(I) = this->operator()(I, I); });
        return diag_vec;
    }
 
    [[nodiscard]] const T* memptr() const override { return memory.get(); }
 
    T* memptr() override { return memory.get(); }
 
    void scale_accu(const T scalar, const shared_ptr<MetaMat<T>>& M) override {
        if(nullptr == M) return;
        if(!M->triplet_mat.is_empty()) return this->scale_accu(scalar, M->triplet_mat);
        if(this->n_rows != M->n_rows || this->n_cols != M->n_cols || this->n_elem != M->n_elem) throw invalid_argument("size mismatch");
        if(nullptr == M->memptr()) return;
        this->factored = false;
        if(1. == scalar) arrayops::inplace_plus(memptr(), M->memptr(), this->n_elem);
        else if(-1. == scalar) arrayops::inplace_minus(memptr(), M->memptr(), this->n_elem);
        else suanpan::for_each(this->n_elem, [&](const uword I) { memptr()[I] += scalar * M->memptr()[I]; });
    }
 
    void scale_accu(const T scalar, const triplet_form<T, uword>& M) override {
        if(this->n_rows != M.n_rows || this->n_cols != M.n_cols) throw invalid_argument("size mismatch");
        this->factored = false;
        const auto row = M.row_mem();
        const auto col = M.col_mem();
        const auto val = M.val_mem();
        if(1. == scalar) for(auto I = 0llu; I < M.n_elem; ++I) this->at(row[I], col[I]) += val[I];
        else if(-1. == scalar) for(auto I = 0llu; I < M.n_elem; ++I) this->at(row[I], col[I]) -= val[I];
        else for(auto I = 0llu; I < M.n_elem; ++I) this->at(row[I], col[I]) += scalar * val[I];
    }
 
    void operator*=(const T value) override {
        this->factored = false;
        arrayops::inplace_mul(memptr(), value, this->n_elem);
    }
 
    [[nodiscard]] int sign_det() const override {
        if(IterativeSolver::NONE != this->setting.iterative_solver) throw invalid_argument("analysis requires the sign of determinant but iterative solver does not support it");
        auto det_sign = 1;
        for(unsigned I = 0; I < pivot.n_elem; ++I) if((this->operator()(I, I) < T(0)) ^ (static_cast<int>(I) + 1 != pivot(I))) det_sign = -det_sign;
        return det_sign;
    }
};
 
#endif