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Diff for /OpenXM/src/k097/lib/minimal/minimal-test.k between version 1.5 and 1.7

version 1.5, 2000/06/15 07:38:35 version 1.7, 2000/07/30 02:26:25
Line 1 
Line 1 
 /* $OpenXM: OpenXM/src/k097/lib/minimal/minimal-test.k,v 1.4 2000/06/14 07:44:05 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 238  It returns the following resolution in 1.5 hours.  Jun
Line 161  It returns the following resolution in 1.5 hours.  Jun
 */  */
 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 305  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]);
 }  }
   
Line 324  def test13() {
Line 246  def test13() {
 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. */    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 = ReParse(ans2[0]);    ans2 = ReParse(ans2[0]);
Line 346  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 362  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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  Added in v.1.7
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