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Diff for /OpenXM/src/k097/lib/minimal/minimal-test.k between version 1.4 and 1.7

version 1.4, 2000/06/14 07:44:05 version 1.7, 2000/07/30 02:26:25
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 /* $OpenXM: OpenXM/src/k097/lib/minimal/minimal-test.k,v 1.3 2000/06/09 08:04:54 takayama Exp $ */  /* $OpenXM: OpenXM/src/k097/lib/minimal/minimal-test.k,v 1.6 2000/07/26 02:21:31 takayama Exp $ */
 load["minimal.k"];  load["minimal.k"];
 def test5() {  
   local a,b,c,cc,v;  
   a = Sannfs3_laScala2("x^3-y^2*z^2");  
   b = a[0];  
   v = [x,y,z];  
   c = Skernel(b[0],v);  
   c = c[0];  
   sm1_pmat([c,b[1],v]);  
   Println("-----------------------------------");  
   cc = sm1_res_div(c,b[1],v);  
   sm1_pmat(sm1_gb(cc,v));  
   c = Skernel(b[1],v);  
   c = c[0];  
   cc = sm1_res_div(c,b[2],v);  
   sm1_pmat(sm1_gb(cc,v));  
   return(a);  
 }  
 def test6() {  
   local a,b,c,cc,v;  
   a = Sannfs3("x^3-y^2*z^2");  
   b = a[0];  
   v = [x,y,z];  
   c = Skernel(b[0],v);  
   c = c[0];  
   sm1_pmat([c,b[1],v]);  
   Println("-------ker = im for minimal ?---------------------");  
   cc = sm1_res_div(c,b[1],v);  
   sm1_pmat(sm1_gb(cc,v));  
   c = Skernel(b[1],v);  
   c = c[0];  
   cc = sm1_res_div(c,b[2],v);  
   sm1_pmat(sm1_gb(cc,v));  
   Println("------ ker=im for Schreyer ?------------------");  
   b = a[3];  
   c = Skernel(b[0],v);  
   c = c[0];  
   sm1_pmat([c,b[1],v]);  
   cc = sm1_res_div(c,b[1],v);  
   sm1_pmat(sm1_gb(cc,v));  
   c = Skernel(b[1],v);  
   c = c[0];  
   cc = sm1_res_div(c,b[2],v);  
   sm1_pmat(sm1_gb(cc,v));  
   return(a);  
 }  
   
 /* May 23, Tue */  
 def test7() {  
   local a,b,c,cc,v;  
   a = Sannfs3_laScala2("x^3-y^2*z^2");  
   b = a[0];  
   v = [x,y,z];  
   c = Skernel(b[0],v);  
   c = c[0];  
   sm1_pmat([c,b[1],v]);  
   Println("-------ker = im for minimal ?---------------------");  
   cc = sm1_res_div(c,b[1],v);  
   sm1_pmat(sm1_gb(cc,v));  
   c = Skernel(b[1],v);  
   c = c[0];  
   cc = sm1_res_div(c,b[2],v);  
   sm1_pmat(sm1_gb(cc,v));  
   Println("------ ker=im for Schreyer ?------------------");  
   b = a[3];  
   c = Skernel(b[0],v);  
   c = c[0];  
   sm1_pmat([c,b[1],v]);  
   cc = sm1_res_div(c,b[1],v);  
   sm1_pmat(sm1_gb(cc,v));  
   c = Skernel(b[1],v);  
   c = c[0];  
   cc = sm1_res_div(c,b[2],v);  
   sm1_pmat(sm1_gb(cc,v));  
   return(a);  
 }  
   
 def sm1_resol1(p) {  def sm1_resol1(p) {
   sm1(" p resol1 /FunctionValue set ");    sm1(" p resol1 /FunctionValue set ");
 }  }
   
   
 def test8() {  def test8() {
   local p,pp,ans,b,c,cc,ww,ww2;    local p,pp,ans,b,c,cc,ww,ww2;
   f = "x^3-y^2*z^2";    f = "x^3-y^2*z^2";
Line 214  def test11() {
Line 137  def test11() {
   return(a);    return(a);
 }  }
 /* f should be a string. */  /* f should be a string. */
   /* a=test_ann3("x^3+y^3+z^3");
   It returns the following resolution in 1.5 hours.  June 14, 2000.
    [
     [
       [    x*Dx+y*Dy+z*Dz-3*h^2 ]
       [    -z*Dy^2+y*Dz^2 ]
       [    -z*Dx^2+x*Dz^2 ]
       [    -y*Dx^2+x*Dy^2 ]
     ]
     [
       [    0 , -x , y , -z ]
       [    z*Dx^2-x*Dz^2 , x*Dy , x*Dx+z*Dz-3*h^2 , z*Dy ]
       [    y*Dx^2-x*Dy^2 , -x*Dz , y*Dz , x*Dx+y*Dy-3*h^2 ]
       [    0 , Dx^2 , -Dy^2 , Dz^2 ]
       [    z*Dy^2-y*Dz^2 , x*Dx+y*Dy+z*Dz-2*h^2 , 0 , 0 ]
     ]
     [
       [    -x*Dx+3*h^2 , y , -z , 0 , -x ]
       [    Dy^3+Dz^3 , Dy^2 , -Dz^2 , x*Dx+y*Dy+z*Dz , -Dx^2 ]
     ]
    ]
   */
 def test_ann3(f) {  def test_ann3(f) {
   local a,v,ww2,ans2;    local a,v,ww2,ans2;
   a = Sannfs3_laScala2(f);    a = Sannfs3(f);
   ans2 = a[0];    ans2 = a[0];
   v = [x,y,z];    v = [x,y,z];
   ww2 = [["x",-1,"y",-1,"z",-1,"Dx",1,"Dy",1,"Dz",1]];    ww2 = [["x",-1,"y",-1,"z",-1,"Dx",1,"Dy",1,"Dz",1]];
Line 283  def test12() {
Line 228  def test12() {
   ans2 = ReParse(ans2); /* DO NOT FORGET! */    ans2 = ReParse(ans2); /* DO NOT FORGET! */
   r= IsExact_h(ans2,[x,y,z]);    r= IsExact_h(ans2,[x,y,z]);
   Println(r);    Println(r);
   Println("It may stop by non-exact statement. The code of Sminimal_v (non-LaScala-Stillman contains bugs.");  
   return([r,ans2]);    return([r,ans2]);
 }  }
   
 def test13() {  def test13() {
   Println("test13 try to construct a minimal free resolution");    Println("test13 try to construct a minimal free resolution");
   Println("of a GKZ system [[1,2]]. 6/12, 2000.");    Println("of a GKZ system [[1,2]]. 6/12, 2000.");
     ans2 = GKZ([[1,2]],[0]);
      /* Be careful!! It resets the grade to module1, not module1v */
   ww2 = [["x1",-1,"x2",-1,"Dx1",1,"Dx2",1]];    ww2 = [["x1",-1,"x2",-1,"Dx1",1,"Dx2",1]];
   Sweyl("x1,x2",ww2);    Sweyl("x1,x2",ww2);
   ans2 = GKZ([[1,2]],[0]);  
   ans2 = ReParse(ans2[0]);    ans2 = ReParse(ans2[0]);
     Println(ans2);
   return(Sminimal(ans2));    return(Sminimal(ans2));
 }  }
   
 def test14() {  def test14() {
   Println("test14 try to construct a minimal free resolution");    Println("test14 try to construct a minimal free resolution");
   Println("of a GKZ system [[1,2,3]]. 6/12, 2000.");    Println("of a GKZ system [[1,2,3]]. 6/12, 2000.");
     ans2 = GKZ([[1,2,3]],[0]);
        /* It stops by the strategy error.
           July 26, 2000. It works fine after fixing a bug in resol.c */
   ww2 = [["x1",-1,"x2",-1,"x3",-1,"Dx1",1,"Dx2",1,"Dx3",1]];    ww2 = [["x1",-1,"x2",-1,"x3",-1,"Dx1",1,"Dx2",1,"Dx3",1]];
   Sweyl("x1,x2,x3",ww2);    Sweyl("x1,x2,x3",ww2);
   ans2 = GKZ([[1,2,3]],[0]);  /* It stops by the strategy error. */  
   ans2 = ReParse(ans2[0]);    ans2 = ReParse(ans2[0]);
   return(Sminimal(ans2));    return(Sminimal(ans2));
 }  }
Line 322  def test15() {
Line 270  def test15() {
   Println("test15 try to construct a minimal free resolution");    Println("test15 try to construct a minimal free resolution");
   Println("of a GKZ system [[1,2,3]] by the order filt. 6/12, 2000.");    Println("of a GKZ system [[1,2,3]] by the order filt. 6/12, 2000.");
   ww2 = [["Dx1",1,"Dx2",1,"Dx3",1]];    ww2 = [["Dx1",1,"Dx2",1,"Dx3",1]];
   Sweyl("x1,x2,x3",ww2);  
   ans2 = GKZ([[1,2,3]],[0]);    ans2 = GKZ([[1,2,3]],[0]);
     Sweyl("x1,x2,x3",ww2);
   ans2 = ReParse(ans2[0]);    ans2 = ReParse(ans2[0]);
   return(Sminimal(ans2));    a = Sminimal(ans2);
     Println("Minimal Resolution is "); sm1_pmat(a[0]);
     Sweyl("x1,x2,x3");
     ans3 = ReParse(a[0]);
     r= IsExact_h(ans3,[x1,x2,x3]);
     Println(r);
     return(a);
 }  }
   
 def test15b() {  def test15b() {
Line 338  def test15b() {
Line 292  def test15b() {
   return(Sminimal(ans2,"homogenized"));    return(Sminimal(ans2,"homogenized"));
 }  }
   
   def test15c() {
     Println("test15c try to construct a minimal free resolution ");
     Println("of a GKZ system [[1,2,3]] by -1,1");
     ww2 = [["Dx1",1,"Dx2",1,"Dx3",1,"x1",-1,"x2",-1,"x3",-1]];
     ans2 = GKZ([[1,2,3]],[0]);
     Sweyl("x1,x2,x3",ww2);
     ans2 = ReParse(ans2[0]);
     a = Sminimal(ans2);
     Println("Minimal Resolution is "); sm1_pmat(a[0]);
     Sweyl("x1,x2,x3");
     ans3 = ReParse(a[0]);
     r= IsExact_h(ans3,[x1,x2,x3]);
     Println(r);
     return(a);
   }
 def test16() {  def test16() {
   Println("test16 try to construct a minimal free resolution");    Println("test16 try to construct a minimal free resolution");
   Println("of a GKZ system [[1,2,3,5]] by the order filt. 6/12, 2000.");    Println("of a GKZ system [[1,2,3,5]] by the order filt. 6/12, 2000.");
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