===================================================================
RCS file: /home/cvs/OpenXM/src/k097/lib/minimal/minimal-test.k,v
retrieving revision 1.10
retrieving revision 1.15
diff -u -p -r1.10 -r1.15
--- OpenXM/src/k097/lib/minimal/minimal-test.k	2000/08/01 05:16:02	1.10
+++ OpenXM/src/k097/lib/minimal/minimal-test.k	2000/08/02 05:14:31	1.15
@@ -1,4 +1,4 @@
-/* $OpenXM: OpenXM/src/k097/lib/minimal/minimal-test.k,v 1.9 2000/08/01 03:42:35 takayama Exp $ */
+/* $OpenXM: OpenXM/src/k097/lib/minimal/minimal-test.k,v 1.14 2000/08/02 04:26:36 takayama Exp $ */
 load["minimal.k"];
 def sm1_resol1(p) {
   sm1(" p resol1 /FunctionValue set ");
@@ -254,8 +254,10 @@ def test17() {
 }          
 
 def test_if_v_strict(resmat,w,v) {
-   local b,c;
+   local b,c,g;
    Sweyl(v,[w]); b = Reparse(resmat);
+   Println("Degree shifts ");
+   Println(SgetShifts(b,w));
    c=Sinit_w(b,w); 
    Println("Resolution (b)----");
    sm1_pmat(b);
@@ -267,13 +269,15 @@ def test_if_v_strict(resmat,w,v) {
    Println(IsExact_h(c,v));
    g = Sinvolutive(b[0],w);
    /* Println("Involutive basis ---");
-     sm1_pmat(g); */
+      sm1_pmat(g); 
+      Println(Sinvolutive(c[0],w));
+      sm1(" /gb.verbose 1 def "); */
    Println("Is same ideal?");
-   Println(IsSameIdeal_h(g,c[0],"x,y"));
+   Println(IsSameIdeal_h(g,c[0],v));
 }
 def test17b() {
    a=Sannfs3("x^3-y^2*z^2");
-   b=a[0]; w = ["x",-1,"y",-1,"z",-5,"Dx",1,"Dy",1,"Dz",5];
+   b=a[0]; w = ["x",-1,"y",-1,"z",-1,"Dx",1,"Dy",1,"Dz",1];
    test_if_v_strict(b,w,"x,y,z");
    return(a);
 }          
@@ -299,6 +303,8 @@ def test19() {
   return(a);
 }
 
+/* Need more than 100M memory. 291, 845, 1266, 1116, 592 : Schreyer frame.
+   I've not yet tried to finish the computation. */
 def test20() {
   w = ["Dx1",1,"Dx2",1,"Dx3",1,"Dx4",1,"x1",-1,"x2",-1,"x3",-1,"x4",-1];
   ans2 = GKZ([[1,1,1,1],[0,1,3,4]],[0,0]);  
@@ -321,4 +327,47 @@ def test20b() {
   /* test_if_v_strict(b,w,"x1,x2,x3,x4"); */
   return(a);
 }
+
+def test21() {
+   a=Sannfs3("x^3-y^2*z^2+y^2+z^2");
+   /* a=Sannfs3("x^3-y-z");  for debug */
+   b=a[0]; w = ["x",-1,"y",-1,"z",-1,"Dx",1,"Dy",1,"Dz",1];
+   test_if_v_strict(b,w,"x,y,z");
+   Println("Degree shifts of Schreyer resolution ----");
+   Println(SgetShifts(Reparse(a[4,0]),w));
+   return(a);
+}          
+def test21b() {
+  local i,j,n,sss, maxR, ttt,ans,p;
+  Println("The dimensions of linear spaces -----");
+  /* sss is the SgetShifts of the Schreyer resol. */
+  sss=
+  [[    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] , 
+   [ -1, -1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3 ] , 
+   [ 0, 1, -1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 3, 2, 2, 1, 4, 3, 3, 2, 0, 2, 1, 3, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 3, 2, 2, 3, 1, 3, 3, 3, 3, 4 ] , 
+   [ 1, 0, 2, 3, 2, 3, 1, 1, 1, 2, 1, 2, 2, 2, 0, 3, 1, 3, 2, 3, 4 ] , 
+   [ 1, 1 ]  ] ;
+   maxR = 2; /* Maximal root of the b-function. */
+  n = Length(sss);
+  for (i=0; i<n; i++) {
+    ttt = sss[i];
+    ans = 0;
+    for (j=0; j<Length(ttt); j++) {
+      p = ttt[j] + maxR + 3; /* degree */
+      if (p >= 0) {
+        ans = ans + CancelNumber(p*(p-1)*(p-2)/(3*2*1));
+        /* Add the number of monomials */
+      }
+    }
+    Print(ans); Print(", ");
+  }
+  Println(" ");
+}
+def test22() {
+   a=Sannfs3("x^3+y^3+z^3");
+   b=a[0]; w = ["x",-1,"y",-2,"z",-3,"Dx",1,"Dy",2,"Dz",3];
+   test_if_v_strict(b,w,"x,y,z");
+   return(a);
+}          
+