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Diff for /OpenXM/src/k097/lib/minimal/minimal-test.k between version 1.15 and 1.17

version 1.15, 2000/08/02 05:14:31 version 1.17, 2000/08/10 02:59:08
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 /* $OpenXM: OpenXM/src/k097/lib/minimal/minimal-test.k,v 1.14 2000/08/02 04:26:36 takayama Exp $ */  /* $OpenXM: OpenXM/src/k097/lib/minimal/minimal-test.k,v 1.16 2000/08/09 03:45:27 takayama Exp $ */
 load["minimal.k"];  load["minimal.k"];
 def sm1_resol1(p) {  def sm1_resol1(p) {
   sm1(" p resol1 /FunctionValue set ");    sm1(" p resol1 /FunctionValue set ");
Line 369  def test22() {
Line 369  def test22() {
    test_if_v_strict(b,w,"x,y,z");     test_if_v_strict(b,w,"x,y,z");
    return(a);     return(a);
 }  }
   
   def FillFromLeft(mat,p,z) {
     local m,n,i,j,aa;
     m = Length(mat); n = Length(mat[0]);
     aa = NewMatrix(m,n+p);
     for (i=0; i<m; i++) {
       for (j=0; j<p; j++) {
         aa[i,j] = z; /* zero */
       }
       for (j=0; j<n; j++) {
         aa[i,j+p] = mat[i,j];
       }
     }
     return(aa);
   }
   
   def FillFromRight(mat,p,z) {
     local m,n,i,j,aa;
     m = Length(mat); n = Length(mat[0]);
     aa = NewMatrix(m,n+p);
     for (i=0; i<m; i++) {
       for (j=n; j<n+p; j++) {
         aa[i,j] = z; /* zero */
       }
       for (j=0; j<n; j++) {
         aa[i,j] = mat[i,j];
       }
     }
     return(aa);
   }
   
   def test23() {
     w = ["Dx1",1,"Dx2",1,"Dx3",1,"x1",-1,"x2",-1,"x3",-1];
     Sweyl("x1,x2,x3",[w]);
     d2 = [[Dx1^2-Dx2*h] , [-Dx1*Dx2+Dx3*h] , [Dx2^2-Dx1*Dx3] ];
     d1 = [[-Dx2, -Dx1, -h],[Dx3,Dx2,Dx1]];
     LL = x1*Dx1 + 2*x2*Dx2+3*x3*Dx3;
     /* It is exact for LL = Dx1 + 2*Dx2+3*Dx3;  */
     u1 = [[LL+4*h^2,Poly("0")],[Poly("0"),LL+5*h^2]];
     u2 = [[LL+2*h^2,Poly("0"),Poly("0")],
           [Poly("0"),LL+3*h^2,Poly("0")],
           [Poly("0"),Poly("0"),LL+4*h^2]];
     u3 = [[LL]];
     Println("Checking if it is a double complex. ");
     Println("u^2 d^2 - d^2 u^3");
     sm1_pmat(u2*d2 - d2*u3);
     Println("u^1 d^1 - d^1 u^2");
     sm1_pmat(u1*d1 - d1*u2);
     aa = [
            Join(u3,d2),
            Join(FillFromLeft(u2,1,Poly("0"))-FillFromRight(d2,3,Poly("0")),
                 FillFromLeft(d1,1,Poly("0"))),
            FillFromLeft(u1,3,Poly("0"))-FillFromRight(d1,2,Poly("0"))
          ];
     Println([ aa[1]*aa[0], aa[2]*aa[1] ]);
     r= IsExact_h(aa,[x1,x2,x3]);
     Println(r);
     /* sm1_pmat(aa); */
     return(aa);
   }
   
   
   def test24() {
     local Res, Eqs, ww,a;
     ww = ["x",-1,"y",-1,"Dx",1,"Dy",1];
     Println("Example of V-minimal <> minimal ");
     Sweyl("x,y", [ww]);
     Eqs = [Dx-(x*Dx+y*Dy),
            Dy-(x*Dx+y*Dy)];
     sm1(" Eqs dehomogenize /Eqs set");
     Res = Sminimal(Eqs);
     Sweyl("x,y", [ww]);
     a = Reparse(Res[0]);
     sm1_pmat(a);
     Println("Initial of the complex is ");
     sm1_pmat( Sinit_w(a,ww) );
     return(Res);
   }
   
   def test24b() {
     local Res, Eqs, ww ;
     ww = ["x",-1,"y",-1,"Dx",1,"Dy",1];
     Println("Construction of minimal ");
     Sweyl("x,y", [ww]);
     Eqs = [Dx-(x*Dx+y*Dy),
            Dy-(x*Dx+y*Dy)];
     sm1(" Eqs dehomogenize /Eqs set");
     Res = Sminimal(Eqs,["Sordinary"]);
     sm1_pmat(Res[0]);
     return(Res);
   }
   
   
   
   

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