行列

行列

D3DX覚書

D3DXMatrix系関数を自前で実装した時の覚え書きです

struct Matrix {
    union {
        float m[4][4];
        struct {
            float m00, m01, m02, m03;
            float m10, m11, m12, m13;
            float m20, m21, m22, m23;
            float m30, m31, m32, m33;
        };
    };
};

MatrixAffineTransformation

MatrixDeterminant

MatrixIdentity( Matrix& m )

m.m00 = 1.0f;
m.m01 = 0.0f;
m.m02 = 0.0f;
m.m03 = 0.0f;

m.m10 = 0.0f;
m.m11 = 1.0f;
m.m12 = 0.0f;
m.m13 = 0.0f;

m.m20 = 0.0f;
m.m21 = 0.0f;
m.m22 = 1.0f;
m.m23 = 0.0f;

m.m20 = 0.0f;
m.m21 = 0.0f;
m.m22 = 0.0f;
m.m23 = 1.0f;

MatrixInverse

MatrixIsIdentity

MatrixLookAtLH

MatrixLookAtRH

MatrixMultiply( Matrix& out, const Matrix& in )

Matrix mat = out;
for ( int i=0 ; i<4 ; i++ )
{
	for ( int j=0 ; j<4 ; j++ )
	{
		float sum = 0;
		sum += mat.m[i][0] * in.m[0][j];
		sum += mat.m[i][1] * in.m[1][j];
		sum += mat.m[i][2] * in.m[2][j];
		sum += mat.m[i][3] * in.m[3][j];
		out.m[i][j] = sum;
	}
}

MatrixMultiplyTranspose

MatrixOrthoLH

MatrixOrthoOffCenterLH

MatrixOrthoOffCenterRH

MatrixOrthoRH

MatrixPerspectiveFovLH

MatrixPerspectiveFovRH

MatrixPerspectiveLH

MatrixPerspectiveOffCenterLH

MatrixPerspectiveOffCenterRH

MatrixPerspectiveRH

MatrixReflect

MatrixRotationAxis

MatrixRotationQuaternion

MatrixRotationX

MatrixRotationY

MatrixRotationYawPitchRoll( float yaw, float pitch, float roll )

const float sin_y = sin( yaw );
const float cos_y = cos( yaw );
const float sin_p = sin( pitch );
const float cos_p = cos( pitch );
const float sin_r = sin( roll );
const float cos_r = cos( roll );

m00 = cos_y * cos_r + sin_y * sin_p * sin_r;
m01 = sin_r * cos_p;
m02 = cos_r * -sin_y + sin_r * sin_p * cos_y;
m03 = 0.0f;

m10 = -sin_r * cos_y + cos_r * sin_p * sin_y;
m11 = cos_r * cos_p;
m12 = sin_r * sin_y + cos_r * sin_p * cos_y;
m13 = 0.0f;

m20 = cos_p * sin_y;
m21 = -sin_p;
m22 = cos_p * cos_y;
m23 = 0.0f;

m30 = 0.0f;
m31 = 0.0f;
m32 = 0.0f;
m33 = 1.0f;

MatrixRotationZ

MatrixScaling

MatrixShadow

MatrixTransformation

MatrixTranslation

MatrixTranspose

Links

• http://msdn.microsoft.com/ja-jp/library/cc372993.aspx
• http://hdn.luco.be/dxtec.htm