//------------------------------------------------------------------------------{IMPLEMENTATION BY 2000-2001 Alexander Weidauer for the Delphi/V Code.This software is only IMPLEMENTED by Alexander Weidauer.This code is based on the work of Nicholas Yue CONREC.Cand the Paul D. Bourke CONREC.F routine.The authors hereby grant permission to use, copy, and distribute thissoftware and its documentation for any purpose, provided that existingcopyright notices are retained in all copies and that this notice is includedverbatim in any distributions. Additionally, the authors grant permission tomodify this software and its documentation for any purpose, provided thatsuch modifications are not distributed without the explicit consent of theauthors and that existing copyright notices are retained in all copies. Someof the algorithms implemented by this software are patented, observe allapplicable patent law.IN NO EVENT SHALL THE AUTHORS OR DISTRIBUTORS BE LIABLE TO ANY PARTY FORDIRECT, INDIRECT, SPECIAL, INCIDENTAL, OR CONSEQUENTIAL DAMAGES ARISING OUTOF THE USE OF THIS SOFTWARE, ITS DOCUMENTATION, OR ANY DERIVATIVES THEREOF,EVEN IF THE AUTHORS HAVE BEEN ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.THE AUTHORS AND DISTRIBUTORS SPECIFICALLY DISCLAIM ANY WARRANTIES, INCLUDING,BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY, FITNESS FOR APARTICULAR PURPOSE, AND NON-INFRINGEMENT.  THIS SOFTWARE IS PROVIDED ON AN"AS IS" BASIS, AND THE AUTHORS AND DISTRIBUTORS HAVE NO OBLIGATION TO PROVIDEMAINTENANCE, SUPPORT, UPDATES, ENHANCEMENTS, OR MODIFICATIONS.}//------------------------------------------------------------------------------//==============================================================================////     CONREC is a contouring subroutine for rectangularily spaced data.////     It emits calls to a line drawing subroutine supplied by the user//     which draws a contour map corresponding to float (4 byte) on a randomly//     spaced rectangular grid. The coordinates emitted are in the same//     units given in the x[] and y[] arrays as sample:////     x[0]:=0; x[1]:=1;..x[dimx-1]:=dimx-1; and//     y[0]:=0; y[1]:=1;..y[dimy-1]:=dimy-1;.//////     Any number of contour levels may be specified but they must be//     in order of increasing value as sample://     z[0]:=-100; z[1]:=-50;..z[dimh-1]:=100;//     and the number of contur levels must be given as sample dimh.//////     As this code is ported as from FORTRAN-77, ANSI C, Delphi and the//     procedural is of course a PASCALIAN//     please be very careful of the various indices like ilb,iub,jlb and jub,//     remeber that C/C++ and for dynamic arrays in delphi indices//     starts from zero (0)////==============================================================================Program CoreConRec;//------------------------------------------------------------------------------Uses SysUtils,Math;{$APPTYPE CONSOLE}//------------------------------------------------------------------------------Type TMatrix    = Array Of Array of Double;     TVector    = Array Of Double;     TVectorL4D = Array [0..4] of Double;     TVectorL4I = Array [0..4] of Integer;     TCastArray = Array [0..2,0..2,0..2] of Integer;//------------------------------------------------------------------------------Procedure Conrec      ( D:  TMatrix ; // 2D - Data field                          ilb,iub,           // west - east   ilb lower bound                                             //               iub upper bound                          jlb,jub : Integer; // north - south jlb lower bound                                             //               jub upper bound                          x : TVector;       // coord. vector west - east                          y : TVector;       // coord. vector north - south                          nc: Integer;       // nc number of cut levels                          z : TVector);      // values of cut levels//------------------------------------------------------------------------------Const im : Array [0..3] of Integer = (0,1,1,0);   // coord. cast array west - east jm : Array [0..3] of Integer = (0,0,1,1);   // coord. cast array north - south//------------------------------------------------------------------------------Var m1,m2,m3,deside:Integer; dmin,dmax,x1,x2,y1,y2:Double; lcnt,i,j,k,m:Integer; casttab : TCastArray; h       : TVectorL4D; sh      : TVectorL4I; xh,yh   : TVectorL4D; temp1,temp2:Double ; r:Byte; // ------- service xsec west east lin. interpol ------------------------------- Function xsec(p1,p2:Integer):Double;  Begin   result:=(h[p2]*xh[p1]-h[p1]*xh[p2])/(h[p2]-h[p1]);  End; //------- service ysec north south lin interpol ------------------------------- Function ysec(p1,p2:Integer):Double;  Begin   result := (h[p2]*yh[p1]-h[p1]*yh[p2])/(h[p2]-h[p1]);  End;Begin // set casting array casttab[0,0,0]:=0;casttab[0,0,1]:=0;casttab[0,0,2]:=8; casttab[0,1,0]:=0;casttab[0,1,1]:=2;casttab[0,1,2]:=5; casttab[0,2,0]:=7;casttab[0,2,1]:=6;casttab[0,2,2]:=9; casttab[1,0,0]:=0;casttab[1,0,1]:=3;casttab[1,0,2]:=4; casttab[1,1,0]:=1;casttab[1,1,1]:=3;casttab[1,1,2]:=1; casttab[1,2,0]:=4;casttab[1,2,1]:=3;casttab[1,2,2]:=0; casttab[2,0,0]:=9;casttab[2,0,1]:=6;casttab[2,0,2]:=7; casttab[2,1,0]:=5;casttab[2,1,1]:=2;casttab[2,1,2]:=0; casttab[2,2,0]:=8;casttab[2,2,1]:=0;casttab[2,2,2]:=0; // set line counter lcnt:=0; //----------------------------------------------------------------------------- For j:=jub-1 DownTo jlb Do Begin     // over all north - south and              +For j  For i:=ilb To iub-1 Do Begin        // east - west coordinates of datafield    +For i   // set casting bounds from array   temp1 := min(D[i  , j],D[i  ,j+1]);   temp2 := min(D[i+1, j],D[i+1,j+1]);   dmin  := min(temp1, temp2);   temp1 := max(D[i  , j],D[i  ,j+1]);   temp2 := max(D[i+1, j],D[i+1,j+1]);   dmax  := max(temp1, temp2);   If (dmax>=z[0]) And (dmin<=z[nc-1]) Then Begin // ask horzintal cut avail.    +If dmin && dmax in z[0] .. z[nc-1]    For k:=0 To nc-1 Do Begin                     // over all possible cuts ---- +For k     If (z[k]>dmin) And (z[k]<=dmax) Then Begin   // aks for cut intervall ----- +If z[k] in dmin .. dmax       //-----------------------------------------------------------------------       For m:=4 Downto 0 Do Begin  // deteriening the cut casts and set the ---- +For m       If (m>0) Then Begin         // height and coordinate vectors        h[m]  := D[i+im[m-1],j+jm[m-1]]-z[k];        xh[m] := x[i+im[m-1]];        yh[m] := y[j+jm[m-1]];       End Else Begin        h[0]  := (h[1]+h[2]+h[3]+h[4])/4;        xh[0] := (x[i]+x[i+1])/2;        yh[0] := (y[j]+y[j+1])/2;       End; // If m>0 then Else       If h[m]>0 Then sh[m]:=1        Else If h[m]<0 Then sh[m]:=-1         Else sh[m]:=0;       End; // ----------------------------------------------------------------- -For m       //-----------------------------------------------------------------------      For m:=1 to 4 Do Begin // set directional casttable        //        // Note: at this stage the relative heights of the corners and the        // centre are in the h array, and the corresponding coordinates are        // in the xh and yh arrays. The centre of the box is indexed by 0        // and the 4 corners by 1 to 4 as shown below.        // Each triangle is then indexed by the parameter m, and the 3        // vertices of each triangle are indexed by parameters m1,m2,and        // m3.        // It is assumed that the centre of the box is always vertex 2        // though this isimportant only when all 3 vertices lie exactly on        // the same contour level, in which case only the side of the box        // is drawn.        //        //      AS ANY BODY NOWS IST FROM THE ORIGINAL            //        //      vertex 4 +-------------------+ vertex 3        //               | \               / |        //               |   \    m-3    /   |        //               |     \       /     |        //               |       \   /       |        //               |  m=2    X   m=2   |       the centre is vertex 0        //               |       /   \       |        //               |     /       \     |        //               |   /    m=1    \   |        //               | /               \ |        //      vertex 1 +-------------------+ vertex 2        //        //        //        //               Scan each triangle in the box        //       m1 := m; m2 := 0;       If NOT(m=4) Then m3 := m+1 Else m3 :=1;       deside := casttab[sh[m1]+1 ,sh[m2]+1, sh[m3]+1];       If NOT(deside=0) Then Begin // ask is there a desition available -------- +If If NOT(deside=0)        Case deside Of // ------- determin the by desided cast cuts ------------ +Case deside;          1: Begin x1:=xh[m1]; y1:=yh[m1]; x2:=xh[m2]; y2:=yh[m2]; End;          2: Begin x1:=xh[m2]; y1:=yh[m2]; x2:=xh[m3]; y2:=yh[m3]; End;          3: Begin x1:=xh[m3]; y1:=yh[m3]; x2:=xh[m1]; y2:=yh[m1]; End;          4: Begin x1:=xh[m1]; y1:=yh[m1]; x2:=xsec(m2,m3); y2:=ysec(m2,m3);             End;          5: Begin x1:=xh[m2]; y1:=yh[m2]; x2:=xsec(m3,m1); y2:=ysec(m3,m1);             End;          6: Begin x1:=xh[m3]; y1:=yh[m3]; x2:=xsec(m1,m2); y2:=ysec(m1,m2);             End;          7: Begin x1:=xsec(m1,m2); y1:=ysec(m1,m2);                   x2:=xsec(m2,m3); y2:=ysec(m2,m3);             End;          8: Begin x1:=xsec(m2,m3); y1:=ysec(m2,m3);                   x2:=xsec(m3,m1); y2:=ysec(m3,m1);             End;          9: Begin x1:=xsec(m3,m1); y1:=ysec(m3,m1);                   x2:=xsec(m1,m2); y2:=ysec(m1,m2);             End;        End; // ---------------------------------------------------------------  -Case deside;        // ----------Do someting with the results ----------------------------         Writeln(Format('%2.2f %2.2f %2.2f %2.2f %2.2f',          [z[k],x1,y1,x2,y2]));        // -------------------------------------------------------------------       End; // -----------------------------------------------------------------  -If Not(deside=0)      End; // ------------------------------------------------------------------  -For m     End; // -------------------------------------------------------------------  -If z[k] in dmin .. dmax    End; // --------------------------------------------------------------------  -For k   End; // ---------------------------------------------------------------------  -If dmin && dmax in z[0] .. z[nc-1]  End; // ----------------------------------------------------------------------  -For i End; // -----------------------------------------------------------------------  -For jEnd;//------ End of ----------------------------------------------------------------//------------------------------------------------------------------------------// TestProcedure//------------------------------------------------------------------------------Const dimx = 100;  // dimension west - east      dimy = 100;  // dimenstion north west      dimh = 10;   // dimension for contour levels//------------------------------------------------------------------------------Var Mat:TMatrix;  // 2D - Datafield scx:TVector;  // scaling vector west - east scy:TVector;  // scaling vector north - west hgt:TVector;  // vector for the countur levels i,j:Integer;  // adress indexes x,y:Double;   // coord. values mi,ma:Double; // for minimum & maximum//------------------------------------------------------------------------------Begin setlength(scx,dimx); // create dynamicly the vectors and datafield setlength(scy,dimy); setlength(hgt,dimh); setlength(mat,dimx); For i:=0 to dimx-1 Do Setlength(mat[i],dimy); For i:=0 to dimx-1 Do scx[i]:= i * 10; // set scaling vector west - east For i:=0 to dimy-1 Do scy[i]:= i * 10; // set scaling vector north - south For i:=0 to dimx-1 Do  // ----------------------------------- set 2d data field  For j:=0 to dimy-1 Do Begin   x:=i-dimx/2;   y:=j-dimy/2;   mat[i,j]:= (sin(x/dimx*4*pi)    * cos(y/dimy*4*pi)) +              (sin(x/dimx*2*pi)    * cos(y/dimy*2*pi)) +              (sin(x/dimx*1*pi)    * cos(y/dimy*1*pi)) +              (sin(x/dimx*0.5*pi)  * cos(y/dimy*0.5*pi))+              (sin(x/dimx*0.25*pi) * cos(y/dimy*0.25*pi)); End; // ----------------------------------------------------------------------- mi:=1e16;    // ------------    Set the minimunm and maximum fof the data field ma:=-1e16; For i:=0 to dimx-1 Do  For j:=0 to dimy-1 Do Begin   if mat[i,j]<mi then mi:=mat[i,j];   if mat[i,j]>ma then ma:=mat[i,j];  End;        //----------------------------------------------------------------For i:=0 to dimh-1 Do hgt[i]:=mi+i*(ma-mi)/(dimh-1); // ----- create cut levels conrec(mat,0,dimx-1,0,dimy-1,scx,scy,dimh,hgt); // call the contour algorithmEnd.// --- EndOf File --------------------------------------------------------------