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sf_quad_H3.m File Reference

Description

SF_QUAD_H3 Third order 2D C1 Hermite shape function for quadrilaterals.

[ VBASE, NLDOF, XLDOF, SFUN ] = SF_QUAD_H3( I_EVAL, N_SDIM, N_VERT, I_DOF, XI, AINVJAC, VBASE ) Evaluates C1 Hermite shape functions on quadrilaterals with values defined in the nodes, cell center. XI are [-1..1]^2 reference coordinates. (Limited to rectangular grid cells.)

Input       Value/[Size]           Description
-----------------------------------------------------------------------------------
i_eval      scalar:  1             Evaluate function values
                    >1             Evaluate values of derivatives
n_sdim      scalar:  2             Number of space dimensions
n_vert      scalar:  4             Number of vertices per cell
i_dof       scalar: 1-16           Local basis function to evaluate
xi          [n_sdim]               Local coordinates of evaluation point
aInvJac     [n,n_sdim*n_sdim]      Inverse of transformation Jacobian
vBase       [n]                    Preallocated output vector
                                                                                  .
Output      Value/[Size]           Description
-----------------------------------------------------------------------------------
vBase       [n]                    Evaluated function values
nLDof       [3,4]                  Number of local degrees of freedom on
                                   vertices, edges, faces, and cell interiors
xLDof       [n_sdim,n_ldof]        Local coordinates of local dofs
sfun        string                 Function name of called shape function
See also
sf_quad_Q3

Code listing

 nLDof = [4 0 0 4;
          4 0 0 0;
          4 0 0 0];
 xLDof = [repmat([-1  1 1 -1;
                  -1 -1 1  1],1,3) [-1 1 1 -1;-1 -1 1 1]/3];
 sfun  = 'sf_quad_H3';


 if( nargin>=6 && ~isempty(aInvJac) )

   if( any(any(abs(aInvJac(:,2:3))>eps*1e2)) )

     aJTmp = tfjacquad( -2 );
     if( i_dof==5 || i_dof==9 )
       a11 =  aJTmp(:,7)/2;
       a12 = -aJTmp(:,6)/2;
       a21 = -aJTmp(:,3)/2;
       a22 =  aJTmp(:,2)/2;
     end
     if( i_dof==6 || i_dof==10 )
       a11 =  aJTmp(:,7)/2;
       a12 = -aJTmp(:,5)/2;
       a21 = -aJTmp(:,3)/2;
       a22 =  aJTmp(:,1)/2;
     end
     if( i_dof==7 || i_dof==11 )
       a11 =  aJTmp(:,8)/2;
       a12 = -aJTmp(:,5)/2;
       a21 = -aJTmp(:,4)/2;
       a22 =  aJTmp(:,1)/2;
     end
     if( i_dof==8 || i_dof==12 )
       a11 =  aJTmp(:,8)/2;
       a12 = -aJTmp(:,6)/2;
       a21 = -aJTmp(:,4)/2;
       a22 =  aJTmp(:,2)/2;
     end

   else

     a11 = 1./aInvJac(:,1);
     a12 = 0;
     a21 = 0;
     a22 = 1./aInvJac(:,4);

   end

 end

 switch i_eval

   case 1

     switch i_dof
       case 1
         vBase = ((xi(1) - 1)*(xi(2) - 1)*(- 153*xi(1)^2*xi(2)^2 - 36*xi(1)^2*xi(2) + 85*xi(1)^2 - 36*xi(1)*xi(2)^2 + 4*xi(1) + 85*xi(2)^2 + 4*xi(2) - 17))/256;
       case 2
         vBase = ((xi(1) + 1)*(xi(2) - 1)*(153*xi(1)^2*xi(2)^2 + 36*xi(1)^2*xi(2) - 85*xi(1)^2 - 36*xi(1)*xi(2)^2 + 4*xi(1) - 85*xi(2)^2 - 4*xi(2) + 17))/256;
       case 3
         vBase = -((xi(1) + 1)*(xi(2) + 1)*(153*xi(1)^2*xi(2)^2 - 36*xi(1)^2*xi(2) - 85*xi(1)^2 - 36*xi(1)*xi(2)^2 + 4*xi(1) - 85*xi(2)^2 + 4*xi(2) + 17))/256;
       case 4
         vBase = -((xi(1) - 1)*(xi(2) + 1)*(- 153*xi(1)^2*xi(2)^2 + 36*xi(1)^2*xi(2) + 85*xi(1)^2 - 36*xi(1)*xi(2)^2 + 4*xi(1) + 85*xi(2)^2 - 4*xi(2) - 17))/256;
       case 5
         vBase = - (a11*(3*xi(2) - 1)*(3*xi(2) + 1)*(xi(1) - 1)^2*(xi(1) + 1)*(xi(2) - 1))/64 - (a12*(3*xi(1) - 1)*(3*xi(1) + 1)*(xi(1) - 1)*(xi(2) - 1)^2*(xi(2) + 1))/64;
       case 6
         vBase = (a12*(3*xi(1) - 1)*(3*xi(1) + 1)*(xi(1) + 1)*(xi(2) - 1)^2*(xi(2) + 1))/64 - (a11*(3*xi(2) - 1)*(3*xi(2) + 1)*(xi(1) - 1)*(xi(1) + 1)^2*(xi(2) - 1))/64;
       case 7
         vBase = (a11*(3*xi(2) - 1)*(3*xi(2) + 1)*(xi(1) - 1)*(xi(1) + 1)^2*(xi(2) + 1))/64 + (a12*(3*xi(1) - 1)*(3*xi(1) + 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)^2)/64;
       case 8
         vBase = (a11*(3*xi(2) - 1)*(3*xi(2) + 1)*(xi(1) - 1)^2*(xi(1) + 1)*(xi(2) + 1))/64 - (a12*(3*xi(1) - 1)*(3*xi(1) + 1)*(xi(1) - 1)*(xi(2) - 1)*(xi(2) + 1)^2)/64;
       case 9
         vBase = - (a21*(3*xi(2) - 1)*(3*xi(2) + 1)*(xi(1) - 1)^2*(xi(1) + 1)*(xi(2) - 1))/64 - (a22*(3*xi(1) - 1)*(3*xi(1) + 1)*(xi(1) - 1)*(xi(2) - 1)^2*(xi(2) + 1))/64;
       case 10
         vBase = (a22*(3*xi(1) - 1)*(3*xi(1) + 1)*(xi(1) + 1)*(xi(2) - 1)^2*(xi(2) + 1))/64 - (a21*(3*xi(2) - 1)*(3*xi(2) + 1)*(xi(1) - 1)*(xi(1) + 1)^2*(xi(2) - 1))/64;
       case 11
         vBase = (a21*(3*xi(2) - 1)*(3*xi(2) + 1)*(xi(1) - 1)*(xi(1) + 1)^2*(xi(2) + 1))/64 + (a22*(3*xi(1) - 1)*(3*xi(1) + 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)^2)/64;
       case 12
         vBase = (a21*(3*xi(2) - 1)*(3*xi(2) + 1)*(xi(1) - 1)^2*(xi(1) + 1)*(xi(2) + 1))/64 - (a22*(3*xi(1) - 1)*(3*xi(1) + 1)*(xi(1) - 1)*(xi(2) - 1)*(xi(2) + 1)^2)/64;
       case 13
         vBase = ((3*xi(2) - 1)*(243*xi(1) - 81)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1))/256;
       case 14
         vBase = -((3*xi(2) - 1)*(243*xi(1) + 81)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1))/256;
       case 15
         vBase = ((3*xi(2) + 1)*(243*xi(1) + 81)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1))/256;
       case 16
         vBase = -((3*xi(2) + 1)*(243*xi(1) - 81)*(xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1))/256;
     end

   case {2,3}

     switch i_dof
       case 1
         dNdxi1 = ((xi(2) - 1)*(- 459*xi(1)^2*xi(2)^2 - 108*xi(1)^2*xi(2) + 255*xi(1)^2 + 234*xi(1)*xi(2)^2 + 72*xi(1)*xi(2) - 162*xi(1) + 121*xi(2)^2 + 4*xi(2) - 21))/256;
         dNdxi2 = ((xi(1) - 1)*(- 459*xi(1)^2*xi(2)^2 + 234*xi(1)^2*xi(2) + 121*xi(1)^2 - 108*xi(1)*xi(2)^2 + 72*xi(1)*xi(2) + 4*xi(1) + 255*xi(2)^2 - 162*xi(2) - 21))/256;
       case 2
         dNdxi1 = ((xi(2) - 1)*(459*xi(1)^2*xi(2)^2 + 108*xi(1)^2*xi(2) - 255*xi(1)^2 + 234*xi(1)*xi(2)^2 + 72*xi(1)*xi(2) - 162*xi(1) - 121*xi(2)^2 - 4*xi(2) + 21))/256;
         dNdxi2 = ((xi(1) + 1)*(459*xi(1)^2*xi(2)^2 - 234*xi(1)^2*xi(2) - 121*xi(1)^2 - 108*xi(1)*xi(2)^2 + 72*xi(1)*xi(2) + 4*xi(1) - 255*xi(2)^2 + 162*xi(2) + 21))/256;
       case 3
         dNdxi1 = ((xi(2) + 1)*(- 459*xi(1)^2*xi(2)^2 + 108*xi(1)^2*xi(2) + 255*xi(1)^2 - 234*xi(1)*xi(2)^2 + 72*xi(1)*xi(2) + 162*xi(1) + 121*xi(2)^2 - 4*xi(2) - 21))/256;
         dNdxi2 = ((xi(1) + 1)*(- 459*xi(1)^2*xi(2)^2 - 234*xi(1)^2*xi(2) + 121*xi(1)^2 + 108*xi(1)*xi(2)^2 + 72*xi(1)*xi(2) - 4*xi(1) + 255*xi(2)^2 + 162*xi(2) - 21))/256;
       case 4
         dNdxi1 = ((xi(2) + 1)*(459*xi(1)^2*xi(2)^2 - 108*xi(1)^2*xi(2) - 255*xi(1)^2 - 234*xi(1)*xi(2)^2 + 72*xi(1)*xi(2) + 162*xi(1) - 121*xi(2)^2 + 4*xi(2) + 21))/256;
         dNdxi2 = ((xi(1) - 1)*(459*xi(1)^2*xi(2)^2 + 234*xi(1)^2*xi(2) - 121*xi(1)^2 + 108*xi(1)*xi(2)^2 + 72*xi(1)*xi(2) - 4*xi(1) - 255*xi(2)^2 - 162*xi(2) + 21))/256;
       case 5
         dNdxi1 = - (a11*(3*xi(2) - 1)*(3*xi(2) + 1)*(xi(1) - 1)^2*(xi(2) - 1))/64 - (a12*(3*xi(1) - 1)*(3*xi(1) + 1)*(xi(2) - 1)^2*(xi(2) + 1))/64 - (3*a12*(3*xi(1) - 1)*(xi(1) - 1)*(xi(2) - 1)^2*(xi(2) + 1))/64 - (3*a12*(3*xi(1) + 1)*(xi(1) - 1)*(xi(2) - 1)^2*(xi(2) + 1))/64 - (a11*(2*xi(1) - 2)*(3*xi(2) - 1)*(3*xi(2) + 1)*(xi(1) + 1)*(xi(2) - 1))/64;
         dNdxi2 = - (a11*(3*xi(2) - 1)*(3*xi(2) + 1)*(xi(1) - 1)^2*(xi(1) + 1))/64 - (a12*(3*xi(1) - 1)*(3*xi(1) + 1)*(xi(1) - 1)*(xi(2) - 1)^2)/64 - (3*a11*(3*xi(2) - 1)*(xi(1) - 1)^2*(xi(1) + 1)*(xi(2) - 1))/64 - (3*a11*(3*xi(2) + 1)*(xi(1) - 1)^2*(xi(1) + 1)*(xi(2) - 1))/64 - (a12*(3*xi(1) - 1)*(3*xi(1) + 1)*(2*xi(2) - 2)*(xi(1) - 1)*(xi(2) + 1))/64;
       case 6
         dNdxi1 = (a12*(3*xi(1) - 1)*(3*xi(1) + 1)*(xi(2) - 1)^2*(xi(2) + 1))/64 - (a11*(3*xi(2) - 1)*(3*xi(2) + 1)*(xi(1) + 1)^2*(xi(2) - 1))/64 + (3*a12*(3*xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)^2*(xi(2) + 1))/64 + (3*a12*(3*xi(1) + 1)*(xi(1) + 1)*(xi(2) - 1)^2*(xi(2) + 1))/64 - (a11*(2*xi(1) + 2)*(3*xi(2) - 1)*(3*xi(2) + 1)*(xi(1) - 1)*(xi(2) - 1))/64;
         dNdxi2 = (a12*(3*xi(1) - 1)*(3*xi(1) + 1)*(xi(1) + 1)*(xi(2) - 1)^2)/64 - (a11*(3*xi(2) - 1)*(3*xi(2) + 1)*(xi(1) - 1)*(xi(1) + 1)^2)/64 - (3*a11*(3*xi(2) - 1)*(xi(1) - 1)*(xi(1) + 1)^2*(xi(2) - 1))/64 - (3*a11*(3*xi(2) + 1)*(xi(1) - 1)*(xi(1) + 1)^2*(xi(2) - 1))/64 + (a12*(3*xi(1) - 1)*(3*xi(1) + 1)*(2*xi(2) - 2)*(xi(1) + 1)*(xi(2) + 1))/64;
       case 7
         dNdxi1 = (a11*(3*xi(2) - 1)*(3*xi(2) + 1)*(xi(1) + 1)^2*(xi(2) + 1))/64 + (a12*(3*xi(1) - 1)*(3*xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)^2)/64 + (3*a12*(3*xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)^2)/64 + (3*a12*(3*xi(1) + 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)^2)/64 + (a11*(2*xi(1) + 2)*(3*xi(2) - 1)*(3*xi(2) + 1)*(xi(1) - 1)*(xi(2) + 1))/64;
         dNdxi2 = (a11*(3*xi(2) - 1)*(3*xi(2) + 1)*(xi(1) - 1)*(xi(1) + 1)^2)/64 + (a12*(3*xi(1) - 1)*(3*xi(1) + 1)*(xi(1) + 1)*(xi(2) + 1)^2)/64 + (3*a11*(3*xi(2) - 1)*(xi(1) - 1)*(xi(1) + 1)^2*(xi(2) + 1))/64 + (3*a11*(3*xi(2) + 1)*(xi(1) - 1)*(xi(1) + 1)^2*(xi(2) + 1))/64 + (a12*(3*xi(1) - 1)*(3*xi(1) + 1)*(2*xi(2) + 2)*(xi(1) + 1)*(xi(2) - 1))/64;
       case 8
         dNdxi1 = (a11*(3*xi(2) - 1)*(3*xi(2) + 1)*(xi(1) - 1)^2*(xi(2) + 1))/64 - (a12*(3*xi(1) - 1)*(3*xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)^2)/64 - (3*a12*(3*xi(1) - 1)*(xi(1) - 1)*(xi(2) - 1)*(xi(2) + 1)^2)/64 - (3*a12*(3*xi(1) + 1)*(xi(1) - 1)*(xi(2) - 1)*(xi(2) + 1)^2)/64 + (a11*(2*xi(1) - 2)*(3*xi(2) - 1)*(3*xi(2) + 1)*(xi(1) + 1)*(xi(2) + 1))/64;
         dNdxi2 = (a11*(3*xi(2) - 1)*(3*xi(2) + 1)*(xi(1) - 1)^2*(xi(1) + 1))/64 - (a12*(3*xi(1) - 1)*(3*xi(1) + 1)*(xi(1) - 1)*(xi(2) + 1)^2)/64 + (3*a11*(3*xi(2) - 1)*(xi(1) - 1)^2*(xi(1) + 1)*(xi(2) + 1))/64 + (3*a11*(3*xi(2) + 1)*(xi(1) - 1)^2*(xi(1) + 1)*(xi(2) + 1))/64 - (a12*(3*xi(1) - 1)*(3*xi(1) + 1)*(2*xi(2) + 2)*(xi(1) - 1)*(xi(2) - 1))/64;
       case 9
         dNdxi1 = - (a21*(3*xi(2) - 1)*(3*xi(2) + 1)*(xi(1) - 1)^2*(xi(2) - 1))/64 - (a22*(3*xi(1) - 1)*(3*xi(1) + 1)*(xi(2) - 1)^2*(xi(2) + 1))/64 - (3*a22*(3*xi(1) - 1)*(xi(1) - 1)*(xi(2) - 1)^2*(xi(2) + 1))/64 - (3*a22*(3*xi(1) + 1)*(xi(1) - 1)*(xi(2) - 1)^2*(xi(2) + 1))/64 - (a21*(2*xi(1) - 2)*(3*xi(2) - 1)*(3*xi(2) + 1)*(xi(1) + 1)*(xi(2) - 1))/64;
         dNdxi2 = - (a21*(3*xi(2) - 1)*(3*xi(2) + 1)*(xi(1) - 1)^2*(xi(1) + 1))/64 - (a22*(3*xi(1) - 1)*(3*xi(1) + 1)*(xi(1) - 1)*(xi(2) - 1)^2)/64 - (3*a21*(3*xi(2) - 1)*(xi(1) - 1)^2*(xi(1) + 1)*(xi(2) - 1))/64 - (3*a21*(3*xi(2) + 1)*(xi(1) - 1)^2*(xi(1) + 1)*(xi(2) - 1))/64 - (a22*(3*xi(1) - 1)*(3*xi(1) + 1)*(2*xi(2) - 2)*(xi(1) - 1)*(xi(2) + 1))/64;
       case 10
         dNdxi1 = (a22*(3*xi(1) - 1)*(3*xi(1) + 1)*(xi(2) - 1)^2*(xi(2) + 1))/64 - (a21*(3*xi(2) - 1)*(3*xi(2) + 1)*(xi(1) + 1)^2*(xi(2) - 1))/64 + (3*a22*(3*xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)^2*(xi(2) + 1))/64 + (3*a22*(3*xi(1) + 1)*(xi(1) + 1)*(xi(2) - 1)^2*(xi(2) + 1))/64 - (a21*(2*xi(1) + 2)*(3*xi(2) - 1)*(3*xi(2) + 1)*(xi(1) - 1)*(xi(2) - 1))/64;
         dNdxi2 = (a22*(3*xi(1) - 1)*(3*xi(1) + 1)*(xi(1) + 1)*(xi(2) - 1)^2)/64 - (a21*(3*xi(2) - 1)*(3*xi(2) + 1)*(xi(1) - 1)*(xi(1) + 1)^2)/64 - (3*a21*(3*xi(2) - 1)*(xi(1) - 1)*(xi(1) + 1)^2*(xi(2) - 1))/64 - (3*a21*(3*xi(2) + 1)*(xi(1) - 1)*(xi(1) + 1)^2*(xi(2) - 1))/64 + (a22*(3*xi(1) - 1)*(3*xi(1) + 1)*(2*xi(2) - 2)*(xi(1) + 1)*(xi(2) + 1))/64;
       case 11
         dNdxi1 = (a21*(3*xi(2) - 1)*(3*xi(2) + 1)*(xi(1) + 1)^2*(xi(2) + 1))/64 + (a22*(3*xi(1) - 1)*(3*xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)^2)/64 + (3*a22*(3*xi(1) - 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)^2)/64 + (3*a22*(3*xi(1) + 1)*(xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)^2)/64 + (a21*(2*xi(1) + 2)*(3*xi(2) - 1)*(3*xi(2) + 1)*(xi(1) - 1)*(xi(2) + 1))/64;
         dNdxi2 = (a21*(3*xi(2) - 1)*(3*xi(2) + 1)*(xi(1) - 1)*(xi(1) + 1)^2)/64 + (a22*(3*xi(1) - 1)*(3*xi(1) + 1)*(xi(1) + 1)*(xi(2) + 1)^2)/64 + (3*a21*(3*xi(2) - 1)*(xi(1) - 1)*(xi(1) + 1)^2*(xi(2) + 1))/64 + (3*a21*(3*xi(2) + 1)*(xi(1) - 1)*(xi(1) + 1)^2*(xi(2) + 1))/64 + (a22*(3*xi(1) - 1)*(3*xi(1) + 1)*(2*xi(2) + 2)*(xi(1) + 1)*(xi(2) - 1))/64;
       case 12
         dNdxi1 = (a21*(3*xi(2) - 1)*(3*xi(2) + 1)*(xi(1) - 1)^2*(xi(2) + 1))/64 - (a22*(3*xi(1) - 1)*(3*xi(1) + 1)*(xi(2) - 1)*(xi(2) + 1)^2)/64 - (3*a22*(3*xi(1) - 1)*(xi(1) - 1)*(xi(2) - 1)*(xi(2) + 1)^2)/64 - (3*a22*(3*xi(1) + 1)*(xi(1) - 1)*(xi(2) - 1)*(xi(2) + 1)^2)/64 + (a21*(2*xi(1) - 2)*(3*xi(2) - 1)*(3*xi(2) + 1)*(xi(1) + 1)*(xi(2) + 1))/64;
         dNdxi2 = (a21*(3*xi(2) - 1)*(3*xi(2) + 1)*(xi(1) - 1)^2*(xi(1) + 1))/64 - (a22*(3*xi(1) - 1)*(3*xi(1) + 1)*(xi(1) - 1)*(xi(2) + 1)^2)/64 + (3*a21*(3*xi(2) - 1)*(xi(1) - 1)^2*(xi(1) + 1)*(xi(2) + 1))/64 + (3*a21*(3*xi(2) + 1)*(xi(1) - 1)^2*(xi(1) + 1)*(xi(2) + 1))/64 - (a22*(3*xi(1) - 1)*(3*xi(1) + 1)*(2*xi(2) + 2)*(xi(1) - 1)*(xi(2) - 1))/64;
       case 13
         dNdxi1 = -(81*(3*xi(2) - 1)*(xi(2) - 1)*(xi(2) + 1)*(- 9*xi(1)^2 + 2*xi(1) + 3))/256;
         dNdxi2 = -(81*(3*xi(1) - 1)*(xi(1) - 1)*(xi(1) + 1)*(- 9*xi(2)^2 + 2*xi(2) + 3))/256;
       case 14
         dNdxi1 = -(81*(3*xi(2) - 1)*(xi(2) - 1)*(xi(2) + 1)*(9*xi(1)^2 + 2*xi(1) - 3))/256;
         dNdxi2 = (81*(3*xi(1) + 1)*(xi(1) - 1)*(xi(1) + 1)*(- 9*xi(2)^2 + 2*xi(2) + 3))/256;
       case 15
         dNdxi1 = (81*(3*xi(2) + 1)*(xi(2) - 1)*(xi(2) + 1)*(9*xi(1)^2 + 2*xi(1) - 3))/256;
         dNdxi2 = (81*(3*xi(1) + 1)*(xi(1) - 1)*(xi(1) + 1)*(9*xi(2)^2 + 2*xi(2) - 3))/256;
       case 16
         dNdxi1 = (81*(3*xi(2) + 1)*(xi(2) - 1)*(xi(2) + 1)*(- 9*xi(1)^2 + 2*xi(1) + 3))/256;
         dNdxi2 = -(81*(3*xi(1) - 1)*(xi(1) - 1)*(xi(1) + 1)*(9*xi(2)^2 + 2*xi(2) - 3))/256;
     end

     if( i_eval==2 )
       vBase = aInvJac(:,1).*dNdxi1 + aInvJac(:,2).*dNdxi2;
     else
       vBase = aInvJac(:,3).*dNdxi1 + aInvJac(:,4).*dNdxi2;
     end

   case {22,23,32,33}   % Evaluation of second order derivatives.
     error('sf_quad_H3: second order derivative evaluation not supported.')

   otherwise
     vBase = 0;

 end