cocos-enhance-kit/cocos2d-x/cocos/math/Mat3.hpp

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#ifndef MATH_MAT3_H
#define MATH_MAT3_H

#define MATRIX3_SIZE ( sizeof(float) * 9)

#include "base/ccMacros.h"

#include "math/Vec2.h"
#include "math/Vec3.h"
#include "math/Vec4.h"
#include "math/Mat4.h"

/**
 * @addtogroup base
 * @{
 */

NS_CC_MATH_BEGIN

class CC_DLL Mat3
{
public:
    /**
     * Stores the columns of this 3x3 matrix.
     * */
    float m[9];
    
    /**
     * Default constructor.
     * Constructs a matrix initialized to the identity matrix:
     *
     *     1  0  0
     *     0  1  0
     *     0  0  1
     */
    Mat3();
    
    /**
     * Constructs a matrix initialized to the specified value.
     *
     * @param m11 The first element of the first row.
     * @param m12 The second element of the first row.
     * @param m13 The third element of the first row.
     * @param m21 The first element of the second row.
     * @param m22 The second element of the second row.
     * @param m23 The third element of the second row.
     * @param m31 The first element of the third row.
     * @param m32 The second element of the third row.
     * @param m33 The third element of the third row.
     */
    Mat3(float m11, float m12, float m13, float m21, float m22, float m23, float m31, float m32, float m33);
    
    /**
     * Creates a matrix initialized to the specified column-major array.
     *
     * The passed-in array is in column-major order, so the memory layout of the array is as follows:
     *
     *     0   3   6
     *     1   4   7
     *     2   5   8
     *
     * @param mat An array containing 16 elements in column-major order.
     */
    Mat3(const float* mat);
    
    /**
     * Constructs a new matrix by copying the values from the specified matrix.
     *
     * @param copy The matrix to copy.
     */
    Mat3(const Mat3& copy);
    
    /**
     * Destructor.
     */
    ~Mat3();
    
    /**
     * Sets the values of this matrix.
     *
     * @param m11 The first element of the first row.
     * @param m12 The second element of the first row.
     * @param m13 The third element of the first row.
     * @param m21 The first element of the second row.
     * @param m22 The second element of the second row.
     * @param m23 The third element of the second row.
     * @param m31 The first element of the third row.
     * @param m32 The second element of the third row.
     * @param m33 The third element of the third row.
     */
    void set(float m11, float m12, float m13, float m21, float m22, float m23,
             float m31, float m32, float m33);
    
    /**
     * Sets the values of this matrix to those in the specified column-major array.
     *
     * @param mat An array containing 9 elements in column-major format.
     */
    void set(const float* mat);
    
    /**
     * Sets the values of this matrix to those of the specified matrix.
     *
     * @param mat The source matrix.
     */
    void set(const Mat3& mat);
    
    /**
     * return an identity matrix.
     */
    static void identity(Mat3& mat);
    
    /**
     * Transposes matrix.
     */
    void transpose();
    
    /**
     * Transposes a matrix.
     */
    static void transpose(Mat3& out, const Mat3& mat);
    
    /**
     * Inverts a matrix.
     */
    void inverse();
    
    /**
     * Calculates the adjugate of a matrix.
     */
    static void adjoint(Mat3& out, const Mat3& mat);
    
    /**
     * Calculates the determinant of a matrix.
     */
    float determinant();
    
    /**
     * Multiply two matrices explicitly.
     */
    static void multiply(Mat3& out, const Mat3& a, const Mat3& b);
    
    /**
     * Multiply a matrix with a translation matrix given by a translation offset.
     */
    static void translate(Mat3& out, const Mat3& mat, const Vec2& vec);
    
    /**
     * Rotates a matrix by the given angle.
     */
    static void rotate(Mat3& out, const Mat3& mat, float rad);
    
    /**
     * Multiply a matrix with a scale matrix given by a scale vector.
     */
    static void scale(Mat3& out, const Mat3& mat, const Vec2& vec);
    
    /**
     * Copies the upper-left 3x3 values of a 4x4 matrix into a 3x3 matrix.
     */
    static void fromMat4(Mat3& out, const Mat4& mat);
    
    /**
     * Creates a matrix from a translation offset.
     */
    static void fromTranslation(Mat3& out, const Vec2& vec);
    
    /**
     * Creates a matrix from a given angle.
     */
    static void fromRotation(Mat3& out, float rad);
    
    /**
     * Creates a matrix from a scale vector.
     */
    static void fromScaling(Mat3& out, const Vec2& vec);
    
    /**
     * Calculates a 3x3 matrix from the given quaternion.
     */
    
    static void fromQuat(Mat3& out, const Quaternion& quat);
     
    /**
     * Adds two matrices.
     */
    static void add(Mat3& out, const Mat3& a, const Mat3& b);
    
    /**
     * Subtracts matrix b from matrix a.
     */
    static void subtract(Mat3& out, const Mat3& a, const Mat3& b);

    /** equals to a matrix full of zeros */
    static const Mat3 ZERO;
    /** equals to the identity matrix */
    static const Mat3 IDENTITY;
};
    
NS_CC_MATH_END
    
/**
 end of base group
 @}
 */
    
#endif