===================================================================
RCS file: /home/cvs/OpenXM/src/k097/lib/minimal/minimal-test.k,v
retrieving revision 1.5
retrieving revision 1.8
diff -u -p -r1.5 -r1.8
--- OpenXM/src/k097/lib/minimal/minimal-test.k	2000/06/15 07:38:35	1.5
+++ OpenXM/src/k097/lib/minimal/minimal-test.k	2000/07/31 01:21:41	1.8
@@ -1,86 +1,9 @@
-/* $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 1.7 2000/07/30 02:26:25 takayama Exp $ */
 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) {
   sm1(" p resol1 /FunctionValue set ");
 }
 
-
 def test8() {
   local p,pp,ans,b,c,cc,ww,ww2;
   f = "x^3-y^2*z^2";
@@ -118,96 +41,6 @@ def test8() {
    SisComplex(a):
 */
 
-def test8a() {
-  local p,pp,ans,b,c,cc,ww, ans_all;
-  f = "x^3-y^2*z^2";
-  p = Sannfs(f,"x,y,z");
-  sm1(" p 0 get { [(x) (y) (z) (Dx) (Dy) (Dz)] laplace0 } map /p set ");
-  ww = [["x",-1,"y",-1,"z",-1,"Dx",1,"Dy",1,"Dz",1]];
-  /* Removed "x",1, ... ===> It causes an error. I do not know the reason.*/
-  Sweyl("x,y,z",ww);
-  pp = Map(p,"Spoly");
-  /* return(pp); */
-  /* pp =
-     [y*Dy-z*Dz , -2*x*Dx-3*y*Dy+1 , 2*x*Dy*Dz^2-3*y*Dx^2 , 
-      2*x*Dy^2*Dz-3*z*Dx^2 , 2*x*z*Dz^3-3*y^2*Dx^2+4*x*Dz^2 ] 
-  */
-  ans_all = Sschreyer(pp);
-  ans = ans_all[0];
-  /* ans = sm1_resol1([pp,"x,y,z",ww]); */
-  /* Schreyer is in ans. */
-
-  v = [x,y,z];
-  b = ans;
-  Println("------ ker=im for Schreyer ?----- wrong method!!!-----------");
-  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(ans);
-}
-
-/* Comparing two constructions */
-def test9() {
-  local p,pp,ans,b,c,cc,ww,ww2,ans_all,ans2;
-  f = "x^3-y^2*z^2";
-  p = Sannfs(f,"x,y,z");
-  ww2 = [["x",-1,"y",-1,"z",-1,"Dx",1,"Dy",1,"Dz",1]];
-  sm1(" p 0 get { [(x) (y) (z) (Dx) (Dy) (Dz)] laplace0 } map /p set ");
-  Sweyl("x,y,z",ww2);
-  pp = Map(p,"Spoly");
-  ans = sm1_resol1([pp,"x,y,z",ww2]);
-
-  f = "x^3-y^2*z^2";
-  p = Sannfs(f,"x,y,z");
-  sm1(" p 0 get { [(x) (y) (z) (Dx) (Dy) (Dz)] laplace0 } map /p set ");
-  ww = [["x",-1,"y",-1,"z",-1,"Dx",1,"Dy",1,"Dz",1]];
-  Sweyl("x,y,z",ww);
-  pp = Map(p,"Spoly");
-  ans_all = Sschreyer(pp);
-  ans2 = ans_all[0];
-
-  return([ans,ans2]);
-
-}
-
-/* Check if the complex by Sschreyer() is exact or not in our example? */
-def test10() {
-  local p,pp,ans,b,c,cc,ww,ww2,ans_all,ans2, r;
-  f = "x^3-y^2*z^2";
-  p = Sannfs(f,"x,y,z");
-  ww2 = [["x",-1,"y",-1,"z",-1,"Dx",1,"Dy",1,"Dz",1]];
-  sm1(" p 0 get { [(x) (y) (z) (Dx) (Dy) (Dz)] laplace0 } map /p set ");
-  Sweyl("x,y,z",ww2);
-  pp = Map(p,"Spoly");
-  ans = sm1_resol1([pp,"x,y,z",ww2]);
-
-  f = "x^3-y^2*z^2";
-  p = Sannfs(f,"x,y,z");
-  sm1(" p 0 get { [(x) (y) (z) (Dx) (Dy) (Dz)] laplace0 } map /p set ");
-  ww = [["x",-1,"y",-1,"z",-1,"Dx",1,"Dy",1,"Dz",1]];
-  Sweyl("x,y,z",ww);
-  pp = Map(p,"Spoly");
-  ans_all = Sschreyer(pp);  /* Schreyer by LaScala-Stillman */
-  ans2 = ans_all[0];
- 
-  sm1(" /gb.verbose 1 def ");
-
-  ww2 = [["x",-1,"y",-1,"z",-1,"Dx",1,"Dy",1,"Dz",1]];
-  Sweyl("x,y,z",ww2);
-  ans2 = ReParse(ans2);
-  r= IsExact_h(ans2,[x,y,z]);
-  Print(r);
-  
-  return([r,[ans,ans2]]);
-
-}
-
 def test11() {
   local  a;
   a = test_ann3("x^3-y^2*z^2");
@@ -238,7 +71,7 @@ It returns the following resolution in 1.5 hours.  Jun
 */
 def test_ann3(f) {
   local a,v,ww2,ans2;
-  a = Sannfs3_laScala2(f);
+  a = Sannfs3(f);
   ans2 = a[0];
   v = [x,y,z];
   ww2 = [["x",-1,"y",-1,"z",-1,"Dx",1,"Dy",1,"Dz",1]];
@@ -305,7 +138,6 @@ def test12() {
   ans2 = ReParse(ans2); /* DO NOT FORGET! */
   r= IsExact_h(ans2,[x,y,z]);
   Println(r);
-  Println("It may stop by non-exact statement. The code of Sminimal_v (non-LaScala-Stillman contains bugs.");
   return([r,ans2]);
 }
 
@@ -324,7 +156,9 @@ def test13() {
 def test14() {
   Println("test14 try to construct a minimal free resolution");
   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]];
   Sweyl("x1,x2,x3",ww2);
   ans2 = ReParse(ans2[0]);
@@ -339,17 +173,23 @@ def test14a() {
   ans2 = [x1*Dx1+2*x2*Dx2+3*x3*Dx3 , Dx1^2-Dx2*h , -Dx1*Dx2+Dx3*h , 
           Dx2^2-Dx1*Dx3 ];
   ans2 = ReParse(ans2);
-  return(Sminimal(ans2,"homogenized"));
+  return(Sminimal(ans2,["homogenized"]));
 }
 
 def test15() {
   Println("test15 try to construct a minimal free resolution");
   Println("of a GKZ system [[1,2,3]] by the order filt. 6/12, 2000.");
   ww2 = [["Dx1",1,"Dx2",1,"Dx3",1]];
-  Sweyl("x1,x2,x3",ww2);
   ans2 = GKZ([[1,2,3]],[0]);  
+  Sweyl("x1,x2,x3",ww2);
   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() {
@@ -359,9 +199,24 @@ def test15b() {
   Sweyl("x1,x2,x3",ww2);
   ans2 = [Dx1^2-Dx2*h , -Dx1*Dx2+Dx3*h , Dx2^2-Dx1*Dx3 ];
   ans2 = ReParse(ans2);
-  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() {
   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.");