## SIMatrix4

Object Hierarchy | Related C++ Class: CMatrix4

### Description

A double precision floating point 4 by 4 matrix. Where the translation values are found in m12, m13, m14, m15.
| m0 m1 m2 m3 |
| m4 m5 m6 m7 |
| m8 m9 m10 m11 |
| m12 m13 m14 m15 |

### Methods

Get | Get2 | Invert | InvertInPlace
Mul | MulInPlace | Set | SetIdentity
Transpose | TransposeInPlace | TransposeInverse | TransposeInverseInPlace

### Properties

Value |  |  |

### Examples

#### 1. JScript Example

    /*
            Demonstration of the Matrix4 object used to
            print the contents of a Transformation
    */
    var oNull = ActiveSceneRoot.AddNull() ;
    var oSITransformation = oNull.Kinematics.Local.Transform ;
    Application.LogMessage( "Default Transformation Matrix" ) ;
    PrintTransformationAsMatrix( oSITransformation ) ;
    oSITransformation.SetTranslationFromValues( 5, 6, 7) ;
    oSITransformation.SetScalingFromValues( 1, 4, 1) ;
    Application.LogMessage( "Transformation with scaling and translation" ) ;
    PrintTransformationAsMatrix( oSITransformation ) ;
    function PrintTransformationAsMatrix( in_Transform )
    {
            var oMatrix4 = XSIMath.CreateMatrix4();
            oSITransformation.GetMatrix4(oMatrix4) ;
            for ( var row = 0 ; row < 4 ; row++ )
            {
                    strLine = "" ;
                    for( var col = 0 ; col < 4 ; col++ )
                    {
                            strLine += oMatrix4.Value( row, col ) + "\t\t";
                    }
                    Application.LogMessage( strLine ) ;
            }
    }
    //Output:
    //INFO : Default Transformation Matrix
    //INFO : 1              0               0               0
    //INFO : 0              1               0               0
    //INFO : 0              0               1               0
    //INFO : 0              0               0               1
    //INFO : Transformation with scaling and translation
    //INFO : 1              0               0               0
    //INFO : 0              4               0               0
    //INFO : 0              0               1               0
    //INFO : 5              6               7               1

#### 2. VBScript Example

    '
    ' This illustrates how to convert a position from local coordinates
    ' to global coordinates
    '
    set oRoot = Application.ActiveProject.ActiveScene.Root
    if Selection.Count = 0 then
            ' create a sample scene
            set oModel = oRoot.AddModel
            oModel.posx.value = 5
            set oObject = oModel.AddNull
            oObject.posx.value = 5
    else
            set oObject = Selection(0)
    end if
    '
    ' Create transformation matrix4 from global transform
    '
    set oGlobalParameters = oObject.kinematics.global.parameters
    Set globalScl = XSIMath.CreateVector3
    call globalScl.Set( _
            oGlobalParameters("sclx").value, _
            oGlobalParameters("scly").value, _
            oGlobalParameters("sclz").value )
    Set globalRot = XSIMath.CreateVector3
    call globalRot.Set( _
            oGlobalParameters("rotx").value, _
            oGlobalParameters("roty").value, _
            oGlobalParameters("rotz").value )
    Set globalTrs = XSIMath.CreateVector3
    call globalTrs.Set( _
            oGlobalParameters("posx").value, _
            oGlobalParameters("posy").value, _
            oGlobalParameters("posz").value )
    set m4Global = CreateMatrix4(globalScl,globalRot,globalTrs)
    '
    ' get local position
    '
    Set v3Pos = XSIMath.CreateVector3
    call v3Pos.Set( oObject.posx.value, oObject.posy.value, oObject.posz.value )
    Application.LogMessage "local position = " & v3Pos.x & ", " & v3Pos.y & ", " & v3Pos.z
    '
    ' transform local to global position
    '
    Set v3Pos = XSIMath.CreateVector3
    call v3Pos.MulByMatrix4( v3Pos, m4Global )
    Application.LogMessage "global position = " & v3Pos.x & ", " & v3Pos.y & ", " & v3Pos.z
    '
    ' Create and initialize SIMatrix4 using from the scaling, rotation and
    ' translation values (SIVector3)
    '
    Function CreateMatrix4( inv3Scl, inv3Rot, inv3Pos )
            Dim l_Rot, l_Trs, l_Matrix, l_RadToDeg, l_DegToRad
            Set l_Rot = XSIMath.CreateVector3
            Set l_Trs = XSIMath.CreateTransform
            Set l_Matrix = XSIMath.CreateMatrix4
            l_RadToDeg = 180.0 / 3.1415926535897932
            l_DegToRad = 3.1415926535897932 / 180.0
            'Conversion of the rotation angles into radians
            l_Rot.Copy inv3Rot
            l_Rot.ScaleInPlace l_DegToRad
            'Create an SI Transform first.
            l_Trs.SetScaling inv3Scl
            l_Trs.SetTranslation inv3Pos
            l_Trs.SetRotationFromXYZAngles l_Rot
            'Extract a Matrix from that transform.
            l_Trs.GetMatrix4 l_Matrix
            Set CreateMatrix4 = l_Matrix
    End Function

### See Also

SIMatrix4.Set SIVector3 SIMatrix3 SIMatrix4 SIRotation SITransformation.GetMatrix4 SIQuaternion