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August 17, 2012 23:26
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class 3x3 Matrix for Visual C++ 2012
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| #pragma once | |
| #include <iostream> | |
| namespace Mntone | |
| { | |
| // 3 次正方行列を扱うクラス | |
| template<typename T> | |
| class Matrix sealed | |
| { | |
| public: | |
| T m11_, m12_, m13_, m21_, m22_, m23_, m31_, m32_, m33_; | |
| // デフォルトコンストラクター | |
| Matrix( void ){}; | |
| // コンストラクター | |
| Matrix( | |
| T m11, T m12, T m13, | |
| T m21, T m22, T m23, | |
| T m31, T m32, T m33 ): | |
| m11_( m11 ), m12_( m12 ), m13_( m13 ), | |
| m21_( m21 ), m22_( m22 ), m23_( m23 ), | |
| m31_( m31 ), m32_( m32 ), m33_( m33 ) | |
| { | |
| }; | |
| // コピーコンストラクター | |
| Matrix( const Matrix& m ): | |
| m11_( m.m11_ ), m12_( m.m12_ ), m13_( m.m13_ ), | |
| m21_( m.m21_ ), m22_( m.m22_ ), m23_( m.m23_ ), | |
| m31_( m.m31_ ), m32_( m.m32_ ), m33_( m.m33_ ) | |
| { | |
| }; | |
| // デストラクター | |
| ~Matrix( void ){}; | |
| // 代入 | |
| Matrix& operator=( const Matrix& other_matrix ) | |
| { | |
| m11_ = other_matrix.m11_; m12_ = other_matrix.m12_; m13_ = other_matrix.m13_; | |
| m21_ = other_matrix.m21_; m22_ = other_matrix.m22_; m23_ = other_matrix.m23_; | |
| m31_ = other_matrix.m31_; m32_ = other_matrix.m32_; m33_ = other_matrix.m33_; | |
| return *this; | |
| }; | |
| // 等価 | |
| bool operator==( const Matrix& other_matrix ) const | |
| { | |
| return m11_ == other_matrix.m11_ && m12_ == other_matrix.m12_ && m13_ == other_matrix.m13_ | |
| && m21_ == other_matrix.m21_ && m22_ == other_matrix.m22_ && m23_ == other_matrix.m23_ | |
| && m31_ == other_matrix.m31_ && m32_ == other_matrix.m32_ && m33_ == other_matrix.m33_; | |
| }; | |
| // 足し算 (Matrix + Matrix) | |
| Matrix operator+( const Matrix& other_matrix ) const | |
| { | |
| Matrix out_matrix( | |
| m11_ + other_matrix.m11_, m12_ + other_matrix.m12_, m13_ + other_matrix.m13_, | |
| m21_ + other_matrix.m21_, m22_ + other_matrix.m22_, m23_ + other_matrix.m23_, | |
| m31_ + other_matrix.m31_, m32_ + other_matrix.m32_, m33_ + other_matrix.m33_ ); | |
| return out_matrix; | |
| }; | |
| // 足し算 (+= Matrix) | |
| Matrix& operator+=( const Matrix& other_matrix ) const | |
| { | |
| m11_ += other_matrix.m11_; m12_ += other_matrix.m12_; m13_ += other_matrix.m13_; | |
| m21_ += other_matrix.m21_; m22_ += other_matrix.m22_; m23_ += other_matrix.m23_; | |
| m31_ += other_matrix.m31_; m32_ += other_matrix.m32_; m33_ += other_matrix.m33_; | |
| return *this; | |
| }; | |
| // 引き算 (Matrix - Matrix) | |
| Matrix operator-( const Matrix& other_matrix ) const | |
| { | |
| Matrix out_matrix( | |
| m11_ - other_matrix.m11_, m12_ - other_matrix.m12_, m13_ - other_matrix.m13_, | |
| m21_ - other_matrix.m21_, m22_ - other_matrix.m22_, m23_ - other_matrix.m23_, | |
| m31_ - other_matrix.m31_, m32_ - other_matrix.m32_, m33_ - other_matrix.m33_ ); | |
| return out_matrix; | |
| }; | |
| // 引き算 (-= Matrix) | |
| Matrix& operator-=( const Matrix& other_matrix ) const | |
| { | |
| m11_ -= other_matrix.m11_; m12_ -= other_matrix.m12_; m13_ -= other_matrix.m13_; | |
| m21_ -= other_matrix.m21_; m22_ -= other_matrix.m22_; m23_ -= other_matrix.m23_; | |
| m31_ -= other_matrix.m31_; m32_ -= other_matrix.m32_; m33_ -= other_matrix.m33_; | |
| return *this; | |
| }; | |
| // 掛け算 (Matrix * Matrix) | |
| Matrix operator*( const Matrix& other_matrix ) const | |
| { | |
| Matrix out_matrix; | |
| out_matrix.m11_ = m11_ * other_matrix.m11_ + m12_ * other_matrix.m21_ + m13_ * other_matrix.m31_; | |
| out_matrix.m12_ = m11_ * other_matrix.m12_ + m12_ * other_matrix.m22_ + m13_ * other_matrix.m32_; | |
| out_matrix.m13_ = m11_ * other_matrix.m13_ + m12_ * other_matrix.m23_ + m13_ * other_matrix.m33_; | |
| out_matrix.m21_ = m21_ * other_matrix.m11_ + m22_ * other_matrix.m21_ + m23_ * other_matrix.m31_; | |
| out_matrix.m22_ = m21_ * other_matrix.m12_ + m22_ * other_matrix.m22_ + m23_ * other_matrix.m32_; | |
| out_matrix.m23_ = m21_ * other_matrix.m13_ + m22_ * other_matrix.m23_ + m23_ * other_matrix.m33_; | |
| out_matrix.m31_ = m31_ * other_matrix.m11_ + m32_ * other_matrix.m21_ + m33_ * other_matrix.m31_; | |
| out_matrix.m32_ = m31_ * other_matrix.m12_ + m32_ * other_matrix.m22_ + m33_ * other_matrix.m32_; | |
| out_matrix.m33_ = m31_ * other_matrix.m13_ + m32_ * other_matrix.m23_ + m33_ * other_matrix.m33_; | |
| return out_matrix; | |
| }; | |
| // スカラー倍 (Matrix * T) | |
| Matrix operator*( const T& constant_value ) const | |
| { | |
| Matrix out_matrix( | |
| m11_ * constant_value, m12_ * constant_value, m13_ * constant_value, | |
| m21_ * constant_value, m22_ * constant_value, m23_ * constant_value, | |
| m31_ * constant_value, m32_ * constant_value, m33_ * constant_value ); | |
| return out_matrix; | |
| }; | |
| // スカラー倍 (*= T) | |
| Matrix& operator*=( const T& constant_value ) const | |
| { | |
| m11_ *= other_matrix.m11_; m12_ *= other_matrix.m12_; m13_ *= other_matrix.m13_; | |
| m21_ *= other_matrix.m21_; m22_ *= other_matrix.m22_; m23_ *= other_matrix.m23_; | |
| m31_ *= other_matrix.m31_; m32_ *= other_matrix.m32_; m33_ *= other_matrix.m33_; | |
| return *this; | |
| }; | |
| // スカラー倍 (Matrix / T) | |
| Matrix operator/( const T& constant_value ) const | |
| { | |
| Matrix out_matrix( | |
| m11_ / constant_value, m12_ / constant_value, m13_ / constant_value, | |
| m21_ / constant_value, m22_ / constant_value, m23_ / constant_value, | |
| m31_ / constant_value, m32_ / constant_value, m33_ / constant_value ); | |
| return out_matrix; | |
| }; | |
| // スカラー倍 (/= T) | |
| Matrix& operator/=( const T& constant_value ) const | |
| { | |
| m11_ /= other_matrix.m11_; m12_ /= other_matrix.m12_; m13_ /= other_matrix.m13_; | |
| m21_ /= other_matrix.m21_; m22_ /= other_matrix.m22_; m23_ /= other_matrix.m23_; | |
| m31_ /= other_matrix.m31_; m32_ /= other_matrix.m32_; m33_ /= other_matrix.m33_; | |
| return *this; | |
| }; | |
| }; | |
| // スカラー倍 (T * Matrix) | |
| template<typename T> | |
| Matrix<T> operator*( const T& constant_value, const Matrix<T>& m ) | |
| { | |
| Matrix<T> out_matrix( m ); | |
| out_matrix.m11_ *= constant_value; | |
| out_matrix.m12_ *= constant_value; | |
| out_matrix.m13_ *= constant_value; | |
| out_matrix.m21_ *= constant_value; | |
| out_matrix.m22_ *= constant_value; | |
| out_matrix.m23_ *= constant_value; | |
| out_matrix.m31_ *= constant_value; | |
| out_matrix.m32_ *= constant_value; | |
| out_matrix.m33_ *= constant_value; | |
| return out_matrix; | |
| }; | |
| // 行列式 determinant | |
| template<typename T> | |
| T determinant( const Matrix<T>& m ) | |
| { | |
| return | |
| m.m11_ * ( m.m22_ * m.m33_ - m.m23_ * m.m32_ ) | |
| - m.m12_ * ( m.m21_ * m.m33_ - m.m23_ * m.m31_ ) | |
| + m.m13_ * ( m.m21_ * m.m32_ - m.m22_ * m.m31_ ); | |
| }; | |
| // 出力演算子 (char) | |
| template<typename T> | |
| std::ostream& operator<<( std::ostream& stream, const Matrix<T>& m ) | |
| { | |
| stream << "[" | |
| << m.m11_ << " " << m.m12_ << " " << m.m13_ << ", " | |
| << m.m21_ << " " << m.m22_ << " " << m.m23_ << ", " | |
| << m.m31_ << " " << m.m32_ << " " << m.m33_ << "]"; | |
| return stream; | |
| }; | |
| // 出力演算子 (wchar_t) | |
| template<typename T> | |
| std::wostream& operator<<( std::wostream& stream, const Matrix<T>& m ) | |
| { | |
| stream << L"[" | |
| << m.m11_ << L" " << m.m12_ << L" " << m.m13_ << L", " | |
| << m.m21_ << L" " << m.m22_ << L" " << m.m23_ << L", " | |
| << m.m31_ << L" " << m.m32_ << L" " << m.m33_ << L"]"; | |
| return stream; | |
| }; | |
| // 定数 零行列 | |
| const Matrix<char> zero_matrix_c( 0, 0, 0, 0, 0, 0, 0, 0, 0 ); | |
| const Matrix<short> zero_matrix_s( 0, 0, 0, 0, 0, 0, 0, 0, 0 ); | |
| const Matrix<int> zero_matrix( 0, 0, 0, 0, 0, 0, 0, 0, 0 ); | |
| const Matrix<long> zero_matrix_l( 0, 0, 0, 0, 0, 0, 0, 0, 0 ); | |
| const Matrix<long long> zero_matrix_ll( 0, 0, 0, 0, 0, 0, 0, 0, 0 ); | |
| const Matrix<float> zero_matrix_f( 0, 0, 0, 0, 0, 0, 0, 0, 0 ); | |
| const Matrix<double> zero_matrix_d( 0, 0, 0, 0, 0, 0, 0, 0, 0 ); | |
| // 定数 単位行列 | |
| const Matrix<char> unit_matrix_c( 1, 0, 0, 0, 1, 0, 0, 0, 1 ); | |
| const Matrix<short> unit_matrix_s( 1, 0, 0, 0, 1, 0, 0, 0, 1 ); | |
| const Matrix<int> unit_matrix( 1, 0, 0, 0, 1, 0, 0, 0, 1 ); | |
| const Matrix<long> unit_matrix_l( 1, 0, 0, 0, 1, 0, 0, 0, 1 ); | |
| const Matrix<long long> unit_matrix_ll( 1, 0, 0, 0, 1, 0, 0, 0, 1 ); | |
| const Matrix<float> unit_matrix_f( 1, 0, 0, 0, 1, 0, 0, 0, 1 ); | |
| const Matrix<double> unit_matrix_d( 1, 0, 0, 0, 1, 0, 0, 0, 1 ); | |
| }; // namespace Mntone |
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