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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