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 |

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