3 files changed, 106 insertions, 0 deletions
diff --git a/include/linalg_error.hpp b/include/linalg_error.hpp
new file mode 100644
index 0000000..8258899
--- /dev/null
+++ b/include/linalg_error.hpp
@@ -0,0 +1,19 @@
+#pragma once
+
+#include <stdexcept>
+#include <string>
+
+namespace linalg {
+
+class LinAlgError : public std::runtime_error {
+public:
+    using std::runtime_error::runtime_error;
+};
+
+class DimensionMismatchError : public LinAlgError {
+public:
+    explicit DimensionMismatchError(const std::string& message)
+        : LinAlgError(message) {}
+};
+
+}  // namespace linalg
diff --git a/include/matrix.hpp b/include/matrix.hpp
new file mode 100644
index 0000000..ba3e4ae
--- /dev/null
+++ b/include/matrix.hpp
@@ -0,0 +1,41 @@
+#pragma once
+
+#include <cstddef>
+#include <initializer_list>
+#include <vector>
+
+namespace linalg {
+
+class Matrix {
+public:
+    Matrix() = default;
+    Matrix(std::size_t rows, std::size_t cols);
+    Matrix(std::size_t rows, std::size_t cols, double value);
+    Matrix(std::initializer_list<std::initializer_list<double>> values);
+
+    [[nodiscard]] std::size_t rows() const noexcept;
+    [[nodiscard]] std::size_t cols() const noexcept;
+    [[nodiscard]] bool empty() const noexcept;
+
+    double& operator()(std::size_t i, std::size_t j);
+    const double& operator()(std::size_t i, std::size_t j) const;
+
+    void fill(double value);
+
+    double* data() noexcept;
+    const double* data() const noexcept;
+
+    static Matrix identity(std::size_t n);
+    static Matrix zeros(std::size_t rows, std::size_t cols);
+
+private:
+    [[nodiscard]] std::size_t index(std::size_t i, std::size_t j) const;
+    void check_bounds(std::size_t i, std::size_t j) const;
+
+    std::size_t rows_ = 0;
+    std::size_t cols_ = 0;
+    std::vector<double> data_;
+};
+
+}  // namespace linalg
+
diff --git a/include/vector.hpp b/include/vector.hpp
new file mode 100644
index 0000000..e6bc0ce
--- /dev/null
+++ b/include/vector.hpp
@@ -0,0 +1,46 @@
+#pragma once
+
+#include <cstddef>
+#include <initializer_list>
+#include <vector>
+
+namespace linalg {
+
+class Vector {
+public:
+    Vector() = default;
+    explicit Vector(std::size_t n);
+    Vector(std::size_t n, double value);
+    Vector(std::initializer_list<double> values);
+
+    [[nodiscard]] std::size_t size() const noexcept;
+    [[nodiscard]] bool empty() const noexcept;
+
+    double& operator[](std::size_t i);
+    const double& operator[](std::size_t i) const;
+
+    void fill(double value);
+
+    double* data() noexcept;
+    const double* data() const noexcept;
+
+    auto begin() noexcept { return data_.begin(); }
+    auto end() noexcept { return data_.end(); }
+    auto begin() const noexcept { return data_.begin(); }
+    auto end() const noexcept { return data_.end(); }
+    auto cbegin() const noexcept { return data_.cbegin(); }
+    auto cend() const noexcept { return data_.cend(); }
+
+private:
+    void check_index(std::size_t i) const;
+
+    std::vector<double> data_;
+};
+
+Vector operator+(const Vector& lhs, const Vector& rhs);
+Vector operator-(const Vector& lhs, const Vector& rhs);
+Vector operator*(const Vector& v, double scalar);
+Vector operator*(double scalar, const Vector& v);
+double dot(const Vector& lhs, const Vector& rhs);
+
+}  // namespace linalg