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Re: VTK and discontinuous elements

 

Hi,

I did some changes in OpenDXFile.cpp in order to work with triangles.
Let's see the attachment for both source code and the DX net file.

Regards,
/ Minh

Dag Lindbo wrote:

Hi all,

Am I right to conclude that Paraview will fail to produce a sensible
visualization of a function on a discontinuous Lagrange element of order >
0? I guess this has to do with how the degrees of freedom are placed on
such an element. Anyway, it's not very important for me to do these
visualizations - but if someone has a neat way to do it I would be glad to
hear.

By the way, is there a particular reason for only supporting tetrahedral
cells in the OpenDX output format? If not, I might get around to extending
to triangles (since I really like DX).

Best regards,
Dag Lindbo

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// Copyright (C) 2003-2006 Johan Hoffman and Anders Logg.
// Licensed under the GNU GPL Version 2.
//
// Modified by Minh Do-Quang 2006
//
// First added:  2003-07-15
// Last changed: 2006-09-15

#include <stdio.h>
#include <dolfin/ParameterSystem.h>
#include <dolfin/Mesh.h>
#include <dolfin/Function.h>
#include <dolfin/dolfin_log.h>
#include <dolfin/OpenDXFile.h>

using namespace dolfin;

//-­---------------------------------------------------------------------------
OpenDXFile::OpenDXFile(const std::string filename) : 
  GenericFile(filename),
  save_each_mesh(dolfin::get("save each mesh")),
  event_saving_mesh("Saving mesh to OpenDX file."),
  event_saving_function("Saving function to OpenDX file.")
{
  type = "OpenDX";
  series_pos = 0;
}
//-­---------------------------------------------------------------------------
OpenDXFile::~OpenDXFile()
{
  // Do nothing
}
//-­---------------------------------------------------------------------------
void OpenDXFile::operator<<(Mesh& mesh)
{
  event_saving_mesh();
  
  // Open file
  FILE* fp = fopen(filename.c_str(), "r+");
  fseek(fp, 0L, SEEK_END);
  
  // Write header first time
  if ( ftell(fp) == 0 )
    writeHeader(fp);

  // Write mesh
  writeMesh(fp, mesh);

  // Write mesh data
  writeMeshData(fp, mesh);
  
  // Close file
  fclose(fp);
}
//-­---------------------------------------------------------------------------
void OpenDXFile::operator<<(Function& u)
{
  event_saving_function();

  // Open file
  FILE* fp = fopen(filename.c_str(), "r+");
  fseek(fp, 0L, SEEK_END);

  // Remove previous time series 
  if ( frames.size() > 0 )
    removeSeries(fp);

  // Write header first time
  if ( ftell(fp) == 0 )
    writeHeader(fp);

  // Write mesh
  if ( frames.size() == 0 || save_each_mesh )
    writeMesh(fp, u.mesh());

  // Write function
  writeFunction(fp, u);

  // Write time series
  writeSeries(fp, u);

  // Close file
  fclose(fp);
}
//-­---------------------------------------------------------------------------
void OpenDXFile::writeHeader(FILE* fp)
{
  fprintf(fp,"# Output from DOLFIN version %s.\n", DOLFIN_VERSION);
  fprintf(fp,"# Format intended for use with OpenDX (Data Explorer).\n");
  fprintf(fp,"#\n");
  fprintf(fp,"\n");
}
//-­---------------------------------------------------------------------------
void OpenDXFile::writeMesh(FILE* fp, Mesh& mesh)
{
  int meshdim, celldim;
  if( mesh.type() == Mesh::tetrahedra ) {
    meshdim = 3;
    celldim = 4;
  } else {
    meshdim = 2;
    celldim = 3;
  }

  // Write vertices
  fprintf(fp, "# A list of all vertex positions\n");
  fprintf(fp, "object \"vertices %d\" class array type float rank 1 shape %d items %d lsb binary data follows\n", 
	    (int)frames.size(), meshdim, mesh.numVertices());

  for (VertexIterator n(mesh); !n.end(); ++n)
  {
    Point p = n->coord();
    
    float x = (float) p.x;
    float y = (float) p.y;
    float z = (float) p.z;
    
    fwrite(&x, sizeof(float), 1, fp);
    fwrite(&y, sizeof(float), 1, fp);
    if ( mesh.type() == Mesh::tetrahedra )
      fwrite(&z, sizeof(float), 1, fp);
  }
  fprintf(fp,"\n\n");

  // Write cells
  fprintf(fp, "# A list of all cells (connections)\n");
  fprintf(fp, "object \"cells %d\" class array type int rank 1 shape %d items %d lsb binary data follows\n",
	  (int)frames.size(), celldim, mesh.numCells());

  for (CellIterator c(mesh); !c.end(); ++c)
  {  
    for (VertexIterator n(c); !n.end(); ++n)
    {
      int id  = n->id();
      fwrite(&id, sizeof(int), 1, fp);
    }
  }
  fprintf(fp, "\n");
  if ( mesh.type() == Mesh::tetrahedra )
    fprintf(fp, "attribute \"element type\" string \"tetrahedra\"\n");
  else if ( mesh.type() == Mesh::triangles )
    fprintf(fp, "attribute \"element type\" string \"triangles\"\n");
  fprintf(fp, "attribute \"ref\" string \"positions\"\n");
  fprintf(fp, "\n");
}
//-­---------------------------------------------------------------------------
void OpenDXFile::writeMeshData(FILE* fp, Mesh& mesh)
{
  // Write data for a given mesh to create an object that can be visualized
  // when no data is associated with the mesh. This is necessary when we only
  // want to save the mesh.

  // Check that we don't try to write mesh data at the same time as we
  // write a time series
  cout << "writeMeshData "<<frames.size()<<endl;
  if ( frames.size() > 0 )
    dolfin_error("Mesh data and time series cannot be mixed for OpenDX file format.");

  // Write data (cell diameter)
  fprintf(fp,"# Cell diameter\n");
  fprintf(fp,"object \"diameter\" class array type float rank 0 items %d lsb binary data follows\n",
	  mesh.numCells());
  
  for (CellIterator c(mesh); !c.end(); ++c)
  {
    float value = static_cast<float>(c->diameter());
    fwrite(&value, sizeof(float), 1, fp);
  }
  fprintf(fp, "\n");
  fprintf(fp, "attribute \"dep\" string \"connections\"\n");
  fprintf(fp, "\n");  

  // Write the mesh
  fprintf(fp, "# The mesh\n");
  fprintf(fp, "object \"Mesh\" class field\n");
  fprintf(fp, "component \"positions\" value \"vertices 0\"\n");
  fprintf(fp, "component \"connections\" value \"cells 0\"\n");
  fprintf(fp, "component \"data\" value \"diameter\"\n");
}
//-­---------------------------------------------------------------------------
void OpenDXFile::writeFunction(FILE* fp, Function& u)
{
  // Write header for object
  fprintf(fp,"# Values for [%s] at nodal points, frame %d\n", u.label().c_str(), (int)frames.size());
  fprintf(fp,"object \"data %d\" class array type float rank 1 shape %d items %d lsb binary data follows\n",
	  (int)frames.size(), u.vectordim(), u.mesh().numVertices());
  
  // Write data
  for (VertexIterator n(u.mesh()); !n.end(); ++n)
  {
    for(unsigned int i=0; i<u.vectordim(); i++) {
      float value = static_cast<float>(u(*n, i));
      fwrite(&value, sizeof(float), 1, fp);
    }
  }
  fprintf(fp,"\n");
  fprintf(fp,"attribute \"dep\" string \"positions\"\n\n");
  
  // Write field
  fprintf(fp,"# Field for [%s], frame %d\n", u.label().c_str(), (int)frames.size());
  fprintf(fp,"object \"field %d\" class field\n", (int)frames.size());
  if ( save_each_mesh )
    fprintf(fp,"component \"positions\" value \"vertices %d\"\n", (int)frames.size());
  else
    fprintf(fp,"component \"positions\" value \"vertices 0\"\n");
  if ( save_each_mesh )
    fprintf(fp,"component \"connections\" value \"cells %d\"\n", (int)frames.size());
  else
    fprintf(fp,"component \"connections\" value \"cells 0\"\n");
  fprintf(fp,"component \"data\" value \"data %d\"\n\n", (int)frames.size());
  
  // Add the new frame
  Frame frame(u.time());
  frames.push_back(frame);
}
//-­---------------------------------------------------------------------------
void OpenDXFile::writeSeries(FILE* fp, Function& u)
{
  // Get position in file at start of series
  series_pos = ftell(fp);

  // Write the time series
  fprintf(fp,"# Time series for [%s]\n", u.label().c_str());
  fprintf(fp,"object \"Time series\" class series\n");
  
  for (unsigned int i = 0; i < frames.size(); i++)
  {
    fprintf(fp,"member %u value \"field %u\" position %f\n",
	    i, i, frames[i].time);
  }
  
  fprintf(fp,"\n");
}
//-­---------------------------------------------------------------------------
void OpenDXFile::removeSeries(FILE* fp)
{
  // Remove the previous series (the new one will be placed at the end).
  // This makes sure that we have a valid dx-file even if we kill the
  // program after a few frames. Note that if someone puts a "#"
  // inside a comment we are in trouble.

  fseek(fp, series_pos, SEEK_SET);
  fflush(fp);
}
//-­---------------------------------------------------------------------------
// OpenDXFile::Frame
//-­---------------------------------------------------------------------------
OpenDXFile::Frame::Frame(real time) : time(time)
{
  // Do nothing
}
//-­---------------------------------------------------------------------------
OpenDXFile::Frame::~Frame()
{
  // Do nothing
}

//
// time: Fri Sep 15 17:50:13 2006
//
// version: 3.2.0 (format), 4.4.0 (DX)
//
//
// MODULE main
// workspace: width = 389, height = 294
// layout: snap = 0, width = 50, height = 50, align = NN
//
macro main(
) -> (
) {
    // 
    // node Import[1]: x = 24, y = 23, inputs = 6, label = Import
    // input[1]: defaulting = 0, visible = 1, type = 32, value = "poisson.dx"
    // input[2]: defaulting = 0, visible = 1, type = 32, value = "field 0"
    //
main_Import_1_out_1 = 
    Import(
    main_Import_1_in_1,
    main_Import_1_in_2,
    main_Import_1_in_3,
    main_Import_1_in_4,
    main_Import_1_in_5,
    main_Import_1_in_6
    ) [instance: 1, cache: 1];
    // 
    // node AutoColor[1]: x = 174, y = 232, inputs = 10, label = AutoColor
    //
main_AutoColor_1_out_1,
main_AutoColor_1_out_2 = 
    AutoColor(
    main_Import_1_out_1,
    main_AutoColor_1_in_2,
    main_AutoColor_1_in_3,
    main_AutoColor_1_in_4,
    main_AutoColor_1_in_5,
    main_AutoColor_1_in_6,
    main_AutoColor_1_in_7,
    main_AutoColor_1_in_8,
    main_AutoColor_1_in_9,
    main_AutoColor_1_in_10
    ) [instance: 1, cache: 1];
    // 
    // node Image[1]: x = 311, y = 218, inputs = 49, label = Image
    // input[1]: defaulting = 0, visible = 0, type = 32, value = "Image_1"
    // input[4]: defaulting = 0, visible = 0, type = 1, value = 1
    // input[5]: defaulting = 0, visible = 0, type = 8, value = [0.5 0.5 0]
    // input[6]: defaulting = 0, visible = 0, type = 8, value = [0.5 0.5 3.55379]
    // input[7]: defaulting = 0, visible = 0, type = 5, value = 1.90447
    // input[8]: defaulting = 0, visible = 0, type = 1, value = 640
    // input[9]: defaulting = 0, visible = 0, type = 5, value = 0.75
    // input[10]: defaulting = 0, visible = 0, type = 8, value = [0 1 0]
    // input[11]: defaulting = 1, visible = 0, type = 5, value = 30.0
    // input[12]: defaulting = 0, visible = 0, type = 1, value = 0
    // input[14]: defaulting = 0, visible = 0, type = 1, value = 1
    // input[15]: defaulting = 1, visible = 0, type = 32, value = "none"
    // input[16]: defaulting = 1, visible = 0, type = 32, value = "none"
    // input[17]: defaulting = 1, visible = 0, type = 1, value = 1
    // input[18]: defaulting = 1, visible = 0, type = 1, value = 1
    // input[19]: defaulting = 0, visible = 0, type = 1, value = 0
    // input[29]: defaulting = 1, visible = 0, type = 3, value = 0
    // depth: value = 24
    // window: position = (0.5419,0.4650), size = 0.4088x0.4350
    // internal caching: 1
    // interaction mode = NONE
    //
main_Image_1_out_1,
main_Image_1_out_2,
main_Image_1_out_3 = 
    Image(
    main_Image_1_in_1,
    main_AutoColor_1_out_1,
    main_Image_1_in_3,
    main_Image_1_in_4,
    main_Image_1_in_5,
    main_Image_1_in_6,
    main_Image_1_in_7,
    main_Image_1_in_8,
    main_Image_1_in_9,
    main_Image_1_in_10,
    main_Image_1_in_11,
    main_Image_1_in_12,
    main_Image_1_in_13,
    main_Image_1_in_14,
    main_Image_1_in_15,
    main_Image_1_in_16,
    main_Image_1_in_17,
    main_Image_1_in_18,
    main_Image_1_in_19,
    main_Image_1_in_20,
    main_Image_1_in_21,
    main_Image_1_in_22,
    main_Image_1_in_23,
    main_Image_1_in_24,
    main_Image_1_in_25,
    main_Image_1_in_26,
    main_Image_1_in_27,
    main_Image_1_in_28,
    main_Image_1_in_29,
    main_Image_1_in_30,
    main_Image_1_in_31,
    main_Image_1_in_32,
    main_Image_1_in_33,
    main_Image_1_in_34,
    main_Image_1_in_35,
    main_Image_1_in_36,
    main_Image_1_in_37,
    main_Image_1_in_38,
    main_Image_1_in_39,
    main_Image_1_in_40,
    main_Image_1_in_41,
    main_Image_1_in_42,
    main_Image_1_in_43,
    main_Image_1_in_44,
    main_Image_1_in_45,
    main_Image_1_in_46,
    main_Image_1_in_47,
    main_Image_1_in_48,
    main_Image_1_in_49
    ) [instance: 1, cache: 1];
    // 
    // node Print[1]: x = 33, y = 119, inputs = 3, label = Print
    // input[2]: defaulting = 0, visible = 1, type = 32, value = "o"
    //
    Print(
    main_Import_1_out_1,
    main_Print_1_in_2,
    main_Print_1_in_3
    ) [instance: 1, cache: 1];
    // 
    // node Select[1]: x = 154, y = 106, inputs = 3, label = Select
    // input[2]: defaulting = 0, visible = 1, type = 32, value = "field 0"
    //
main_Select_1_out_1 = 
    Select(
    main_Import_1_out_1,
    main_Select_1_in_2,
    main_Select_1_in_3
    ) [instance: 1, cache: 1];
    // 
    // node ShowConnections[1]: x = 256, y = 79, inputs = 1, label = ShowConnections
    //
main_ShowConnections_1_out_1 = 
    ShowConnections(
    main_Import_1_out_1
    ) [instance: 1, cache: 1];
// network: end of macro body
CacheScene(main_Image_1_in_1, main_Image_1_out_1, main_Image_1_out_2);
}
main_Import_1_in_1 = "poisson.dx";
main_Import_1_in_2 = "field 0";
main_Import_1_in_3 = NULL;
main_Import_1_in_4 = NULL;
main_Import_1_in_5 = NULL;
main_Import_1_in_6 = NULL;
main_Import_1_out_1 = NULL;
main_AutoColor_1_in_2 = NULL;
main_AutoColor_1_in_3 = NULL;
main_AutoColor_1_in_4 = NULL;
main_AutoColor_1_in_5 = NULL;
main_AutoColor_1_in_6 = NULL;
main_AutoColor_1_in_7 = NULL;
main_AutoColor_1_in_8 = NULL;
main_AutoColor_1_in_9 = NULL;
main_AutoColor_1_in_10 = NULL;
main_AutoColor_1_out_1 = NULL;
macro Image(
        id,
        object,
        where,
        useVector,
        to,
        from,
        width,
        resolution,
        aspect,
        up,
        viewAngle,
        perspective,
        options,
        buttonState = 1,
        buttonUpApprox = "none",
        buttonDownApprox = "none",
        buttonUpDensity = 1,
        buttonDownDensity = 1,
        renderMode = 0,
        defaultCamera,
        reset,
        backgroundColor,
        throttle,
        RECenable = 0,
        RECfile,
        RECformat,
        RECresolution,
        RECaspect,
        AAenable = 0,
        AAlabels,
        AAticks,
        AAcorners,
        AAframe,
        AAadjust,
        AAcursor,
        AAgrid,
        AAcolors,
        AAannotation,
        AAlabelscale,
        AAfont,
        interactionMode,
        title,
        AAxTickLocs,
        AAyTickLocs,
        AAzTickLocs,
        AAxTickLabels,
        AAyTickLabels,
        AAzTickLabels,
        webOptions) -> (
        object,
        camera,
        where)
{
    ImageMessage(
        id,
        backgroundColor,
        throttle,
        RECenable,
        RECfile,
        RECformat,
        RECresolution,
        RECaspect,
        AAenable,
        AAlabels,
        AAticks,
        AAcorners,
        AAframe,
        AAadjust,
        AAcursor,
        AAgrid,
        AAcolors,
        AAannotation,
        AAlabelscale,
        AAfont,
        AAxTickLocs,
        AAyTickLocs,
        AAzTickLocs,
        AAxTickLabels,
        AAyTickLabels,
        AAzTickLabels,
        interactionMode,
        title,
        renderMode,
        buttonUpApprox,
        buttonDownApprox,
        buttonUpDensity,
        buttonDownDensity) [instance: 1, cache: 1];
    autoCamera =
        AutoCamera(
            object,
            "front",
            object,
            resolution,
            aspect,
            [0,1,0],
            perspective,
            viewAngle,
            backgroundColor) [instance: 1, cache: 1];
    realCamera =
        Camera(
            to,
            from,
            width,
            resolution,
            aspect,
            up,
            perspective,
            viewAngle,
            backgroundColor) [instance: 1, cache: 1];
    coloredDefaultCamera = 
	 UpdateCamera(defaultCamera,
            background=backgroundColor) [instance: 1, cache: 1];
    nullDefaultCamera =
        Inquire(defaultCamera,
            "is null + 1") [instance: 1, cache: 1];
    resetCamera =
        Switch(
            nullDefaultCamera,
            coloredDefaultCamera,
            autoCamera) [instance: 1, cache: 1];
    resetNull = 
        Inquire(
            reset,
            "is null + 1") [instance: 2, cache: 1];
    reset =
        Switch(
            resetNull,
            reset,
            0) [instance: 2, cache: 1];
    whichCamera =
        Compute(
            "($0 != 0 || $1 == 0) ? 1 : 2",
            reset,
            useVector) [instance: 1, cache: 1];
    camera = Switch(
            whichCamera,
            resetCamera,
            realCamera) [instance: 3, cache: 1];
    AAobject =
        AutoAxes(
            object,
            camera,
            AAlabels,
            AAticks,
            AAcorners,
            AAframe,
            AAadjust,
            AAcursor,
            AAgrid,
            AAcolors,
            AAannotation,
            AAlabelscale,
            AAfont,
            AAxTickLocs,
            AAyTickLocs,
            AAzTickLocs,
            AAxTickLabels,
            AAyTickLabels,
            AAzTickLabels) [instance: 1, cache: 1];
    switchAAenable = Compute("$0+1",
	     AAenable) [instance: 2, cache: 1];
    object = Switch(
	     switchAAenable,
	     object,
	     AAobject) [instance:4, cache: 1];
    SWapproximation_options =
        Switch(
            buttonState,
            buttonUpApprox,
            buttonDownApprox) [instance: 5, cache: 1];
    SWdensity_options =
        Switch(
            buttonState,
            buttonUpDensity,
            buttonDownDensity) [instance: 6, cache: 1];
    HWapproximation_options =
        Format(
            "%s,%s",
            buttonDownApprox,
            buttonUpApprox) [instance: 1, cache: 1];
    HWdensity_options =
        Format(
            "%d,%d",
            buttonDownDensity,
            buttonUpDensity) [instance: 2, cache: 1];
    switchRenderMode = Compute(
	     "$0+1",
	     renderMode) [instance: 3, cache: 1];
    approximation_options = Switch(
	     switchRenderMode,
            SWapproximation_options,
	     HWapproximation_options) [instance: 7, cache: 1];
    density_options = Switch(
	     switchRenderMode,
            SWdensity_options,
            HWdensity_options) [instance: 8, cache: 1];
    renderModeString = Switch(
            switchRenderMode,
            "software",
            "hardware")[instance: 9, cache: 1];
    object_tag = Inquire(
            object,
            "object tag")[instance: 3, cache: 1];
    annoted_object =
        Options(
            object,
            "send boxes",
            0,
            "cache",
            1,
            "object tag",
            object_tag,
            "ddcamera",
            whichCamera,
            "rendering approximation",
            approximation_options,
            "render every",
            density_options,
            "button state",
            buttonState,
            "rendering mode",
            renderModeString) [instance: 1, cache: 1];
    RECresNull =
        Inquire(
            RECresolution,
            "is null + 1") [instance: 4, cache: 1];
    ImageResolution =
        Inquire(
            camera,
            "camera resolution") [instance: 5, cache: 1];
    RECresolution =
        Switch(
            RECresNull,
            RECresolution,
            ImageResolution) [instance: 10, cache: 1];
    RECaspectNull =
        Inquire(
            RECaspect,
            "is null + 1") [instance: 6, cache: 1];
    ImageAspect =
        Inquire(
            camera,
            "camera aspect") [instance: 7, cache: 1];
    RECaspect =
        Switch(
            RECaspectNull,
            RECaspect,
            ImageAspect) [instance: 11, cache: 1];
    switchRECenable = Compute(
          "$0 == 0 ? 1 : (($2 == $3) && ($4 == $5)) ? ($1 == 1 ? 2 : 3) : 4",
            RECenable,
            switchRenderMode,
            RECresolution,
            ImageResolution,
            RECaspect,
	     ImageAspect) [instance: 4, cache: 1];
    NoRECobject, RECNoRerenderObject, RECNoRerHW, RECRerenderObject = Route(switchRECenable, annoted_object);
    Display(
        NoRECobject,
        camera,
        where,
        throttle) [instance: 1, cache: 1];
    image =
        Render(
            RECNoRerenderObject,
            camera) [instance: 1, cache: 1];
    Display(
        image,
        NULL,
        where,
        throttle) [instance: 2, cache: 1];
    WriteImage(
        image,
        RECfile,
        RECformat) [instance: 1, cache: 1];
    rec_where = Display(
        RECNoRerHW,
        camera,
        where,
        throttle) [instance: 1, cache: 0];
    rec_image = ReadImageWindow(
        rec_where) [instance: 1, cache: 1];
    WriteImage(
        rec_image,
        RECfile,
        RECformat) [instance: 1, cache: 1];
    RECupdateCamera =
	UpdateCamera(
	    camera,
	    resolution=RECresolution,
	    aspect=RECaspect) [instance: 2, cache: 1];
    Display(
        RECRerenderObject,
        camera,
        where,
        throttle) [instance: 1, cache: 1];
    RECRerenderObject =
	ScaleScreen(
	    RECRerenderObject,
	    NULL,
	    RECresolution,
	    camera) [instance: 1, cache: 1];
    image =
        Render(
            RECRerenderObject,
            RECupdateCamera) [instance: 2, cache: 1];
    WriteImage(
        image,
        RECfile,
        RECformat) [instance: 2, cache: 1];
}
main_Image_1_in_1 = "Image_1";
main_Image_1_in_3 = "X24,,";
main_Image_1_in_4 = 1;
main_Image_1_in_5 = [0.5 0.5 0];
main_Image_1_in_6 = [0.5 0.5 3.55379];
main_Image_1_in_7 = 1.90447;
main_Image_1_in_8 = 640;
main_Image_1_in_9 = 0.75;
main_Image_1_in_10 = [0 1 0];
main_Image_1_in_11 = NULL;
main_Image_1_in_12 = 0;
main_Image_1_in_13 = NULL;
main_Image_1_in_14 = 1;
main_Image_1_in_15 = NULL;
main_Image_1_in_16 = NULL;
main_Image_1_in_17 = NULL;
main_Image_1_in_18 = NULL;
main_Image_1_in_19 = 0;
main_Image_1_in_20 = NULL;
main_Image_1_in_21 = NULL;
main_Image_1_in_22 = NULL;
main_Image_1_in_23 = NULL;
main_Image_1_in_25 = NULL;
main_Image_1_in_26 = NULL;
main_Image_1_in_27 = NULL;
main_Image_1_in_28 = NULL;
main_Image_1_in_29 = NULL;
main_Image_1_in_30 = NULL;
main_Image_1_in_31 = NULL;
main_Image_1_in_32 = NULL;
main_Image_1_in_33 = NULL;
main_Image_1_in_34 = NULL;
main_Image_1_in_35 = NULL;
main_Image_1_in_36 = NULL;
main_Image_1_in_37 = NULL;
main_Image_1_in_38 = NULL;
main_Image_1_in_39 = NULL;
main_Image_1_in_40 = NULL;
main_Image_1_in_41 = NULL;
main_Image_1_in_42 = NULL;
main_Image_1_in_43 = NULL;
main_Image_1_in_44 = NULL;
main_Image_1_in_45 = NULL;
main_Image_1_in_46 = NULL;
main_Image_1_in_47 = NULL;
main_Image_1_in_48 = NULL;
main_Image_1_in_49 = NULL;
main_Print_1_in_2 = "o";
main_Print_1_in_3 = NULL;
main_Select_1_in_2 = "field 0";
main_Select_1_in_3 = NULL;
Executive("product version 4 4 0");
$sync
main();


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