CONSTRUCTOR for different float-types. It converts a Matrix33 into a Matrix34 and also converts between double/float. Matrix34(Matrix33);

CONSTRUCTOR for different float-types. It converts a Matrix33 with a translation-vector into a Matrix34 and also converts between double/float. Matrix34(Matrix33r,Vec3d(1,2,3));

CONSTRUCTOR for different float-types. It constructs a Matrix34 with translation only. Matrix34(IDENTITY, Vec3d(1,2,3));

CONSTRUCTOR for different float types. It converts a Matrix44 into a Matrix34 and converts between double/float. Needs to be 'explicit' because we loose the translation vector in the conversion process. Matrix34(m44r);

CONSTRUCTOR for different float-types. It converts a Quat into a Matrix34. Needs to be 'explicit' because we loose float-precision in the conversion process. Matrix34(QuatTd);

CONSTRUCTOR for different float-types. It converts a QuatT into a Matrix34. Needs to be 'explicit' because we loose float-precision in the conversion process. Matrix34(QuatT);

CONSTRUCTOR for different float-types. It converts a QuatTS into a Matrix34. Needs to be 'explicit' because we loose float-precision in the conversion process. Matrix34(QuatT);

CONSTRUCTOR for different float-types. It converts a QuatTNS into a Matrix34. Needs to be 'explicit' because we loose float-precision in the conversion process. Matrix34(QuatT);

CONSTRUCTOR for different float-types. It converts a DualQuat into a Matrix34. Needs to be 'explicit' because we loose float-precision in the conversion process. Matrix34(QuatT);

Reflect a rotation matrix with respect to a plane. Example: Vec3 normal( 0.0f,-1.0f, 0.0f); Vec3 pos(0,1000,0); Matrix34 m34=CreateReflectionMat( pos, normal );

Calculate a real inversion of a Matrix34. An inverse-matrix is an UnDo-matrix for all kind of transformations. Example 1: Matrix34 im34; im34.Invert(); Example 2: Matrix34 im34 = m34.GetInverted();

Create a matrix with SCALING, ROTATION and TRANSLATION (in this order). Example 1: Matrix m34; m34.SetMatrix( Vec3(1,2,3), quat, Vec3(11,22,33) );

Note

All vectors are stored in columns.

Create a rotation matrix around an arbitrary axis (Eulers Theorem). The axis is specified as an normalized Vec3. The angle is assumed to be in radians. This function also assumes a translation-vector and stores it in the right column. Example: Matrix34 m34; Vec3 axis=GetNormalized( Vec3(-1.0f,-0.3f,0.0f) ); m34.SetRotationAA( 3.14314f, axis, Vec3(5,5,5) );

Create rotation-matrix about X axis using an angle. The angle is assumed to be in radians. The translation-vector is set to zero. Example: Matrix34 m34; m34.SetRotationX(0.5f);

Convert three Euler angle to mat33 (rotation order:XYZ) The Euler angles are assumed to be in radians. The translation-vector is set to zero. Example 1: Matrix34 m34; m34.SetRotationXYZ( Ang3(0.5f,0.2f,0.9f), translation ); Example 2: Matrix34 m34=Matrix34::CreateRotationXYZ( Ang3(0.5f,0.2f,0.9f), translation );

Create rotation-matrix about Y axis using an angle. The angle is assumed to be in radians. The translation-vector is set to zero.

Example: Matrix34 m34; m34.SetRotationY(0.5f);

Create rotation-matrix about Z axis using an angle. The angle is assumed to be in radians. The translation-vector is set to zero. Example: Matrix34 m34; m34.SetRotationZ(0.5f);

Create scaling-matrix. The translation-vector is set to zero. Example 1: Matrix m34; m34.SetScale( Vec3(0.5f, 1.0f, 2.0f) ); Example 2: Matrix34 m34 = Matrix34::CreateScale( Vec3(0.5f, 1.0f, 2.0f) );