PROGRAM d2r8(input,output,dfile);
(* driver for routine SVBKSB *)
LABEL 10,99;
CONST
   np=20;
   mp=20;
TYPE
   glnparray = ARRAY [1..np] OF real;
   glmparray = ARRAY [1..mp] OF real;
   glnpbynp = ARRAY [1..np,1..np] OF real;
   glmpbynp = ARRAY [1..mp,1..np] OF real;
VAR
   j,k,l,m,n : integer;
   wmax,wmin : real;
   a,b,u : glmpbynp;
   v : glnpbynp;
   w,x : glnparray;
   c : glmparray;
   dfile : text;

(*$I MODFILE.PAS *)
(*$I SVDCMP.PAS *)

(*$I SVBKSB.PAS *)

BEGIN
   glopen(dfile,'matrx1.dat');
10:   readln(dfile);
   readln(dfile);
   readln(dfile,n,m);
   readln(dfile);
   FOR k := 1 to n DO BEGIN
      FOR l := 1 to n-1 DO read(dfile,a[k,l]);
      readln(dfile,a[k,n])
   END;
   readln(dfile);
   FOR l := 1 to m DO BEGIN
      FOR k := 1 to n-1 DO read(dfile,b[k,l]);
      readln(dfile,b[n,l])
   END;
(* copy a into u *)
   FOR k := 1 to n DO BEGIN
      FOR l := 1 to n DO BEGIN
         u[k,l] := a[k,l]
      END
   END;
(* decompose matrix a *)
   svdcmp(u,n,n,np,np,w,v);
(* find maximum singular value *)
   wmax := 0.0;
   FOR k := 1 to n DO BEGIN
      IF  (w[k] > wmax) THEN  wmax := w[k]
   END;
(* define "small" *)
   wmin := wmax*(1.0e-6);
(* zero the "small" singular values *)
   FOR k := 1 to n DO BEGIN
      IF  (w[k] < wmin) THEN  w[k] := 0.0
   END;
(* backsubstitute for each right-hand side vector *)
   FOR l := 1 to m DO BEGIN
      writeln;
      writeln('Vector number ',l:2);
      FOR k := 1 to n DO BEGIN
         c[k] := b[k,l]
      END;
      svbksb(u,w,v,n,n,np,np,c,x);
      writeln ('    solution vector is:');
      FOR k := 1 to n-1 DO write(x[k]:12:6);
      writeln(x[n]:12:6);
      writeln ('    original right-hand side vector:');
      FOR k := 1 to n-1 DO write(c[k]:12:6);
      writeln(c[n]:12:6);
      writeln ('    result of (matrix)*(sol''n vector):');
      FOR k := 1 to n DO BEGIN
         c[k] := 0.0;
         FOR j := 1 to n DO BEGIN
            c[k] := c[k]+a[k,j]*x[j]
         END
      END;
      FOR k := 1 to n-1 DO write(c[k]:12:6);
      writeln(c[n]:12:6)
   END;
   writeln ('***********************************');
   IF eof(dfile) THEN GOTO 99;
   writeln ('press RETURN for next problem');
   readln;
   GOTO 10;
99:   close(dfile)
END.