OpenXM/src/k097/lib/minimal/minimal-test.k - diff

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Diff for /OpenXM/src/k097/lib/minimal/minimal-test.k between version 1.9 and 1.14

-version 1.9, 2000/08/01 03:42:35
+version 1.14, 2000/08/02 04:26:36
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- /* $OpenXM: OpenXM/src/k097/lib/minimal/minimal-test.k,v 1.8 2000/07/31 01:21:41 takayama Exp $ */
+ /* $OpenXM: OpenXM/src/k097/lib/minimal/minimal-test.k,v 1.13 2000/08/02 03:23:36 takayama Exp $ */
  load["minimal.k"];
  def sm1_resol1(p) {
    sm1(" p resol1 /FunctionValue set ");
 Line 252  def test17() {
 Line 252  def test17() {
 Line 252  def test17() {
     sm1_pmat(c);
     Println(IsExact_h(c,"x,y,z"));
  }
- def test17b() {
-    a=Sannfs3("x^3-y^2*z^2");
+ def test_if_v_strict(resmat,w,v) {
-    b=a[0]; w = ["x",-1,"y",-1,"z",-1,"Dx",1,"Dy",1,"Dz",1];
+    local b,c,g;
-    Sweyl("x,y,z",[w]); b = Reparse(b);
+    Sweyl(v,[w]); b = Reparse(resmat);
+    Println("Degree shifts ");
+    Println(SgetShifts(b,w));
     c=Sinit_w(b,w);
     Println("Resolution (b)----");
     sm1_pmat(b);
     Println("Initial (c)----");
     sm1_pmat(c);
-    Println(IsExact_h(c,"x,y,z"));
+    Println("Exactness of the resolution ---");
+    Println(IsExact_h(b,v));
+    Println("Exactness of the initial complex.---");
+    Println(IsExact_h(c,v));
     g = Sinvolutive(b[0],w);
-    Println("Involutive basis ---");
+    /* 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",-1,"Dx",1,"Dy",1,"Dz",1];
+    test_if_v_strict(b,w,"x,y,z");
+    return(a);
  }
  def test18() {
     a=Sannfs2("x^3-y^2");
     b=a[0]; w = ["x",-1,"y",-1,"Dx",1,"Dy",1];
-    Sweyl("x,y",[w]); b = Reparse(b);
+    test_if_v_strict(b,w,"x,y");
-    c=Sinit_w(b,w);
+    return(a);
-    Println("Resolution (b)----");
+ }
-    sm1_pmat(b);
-    Println("Initial (c)----");
+ def test19() {
-    sm1_pmat(c);
+   Println("test19 try to construct a minimal free resolution and check if it is v-strict.");
-    g = Sinvolutive(b[0],w);
+   Println("of a GKZ system [[1,2,3]] by -1,1");
-    Println("Involutive basis ---");
+   ww2 = ["Dx1",1,"Dx2",1,"Dx3",1,"x1",-1,"x2",-1,"x3",-1];
-    sm1_pmat(g);
+   ans2 = GKZ([[1,2,3]],[0]);
-    Println("Is same ideal?");
+   Sweyl("x1,x2,x3",[ww2]);
-    Println(IsSameIdeal_h(g,c[0],"x,y"));
+   ans2 = ReParse(ans2[0]);
+   a = Sminimal(ans2);
+   Println("Minimal Resolution is "); sm1_pmat(a[0]);
+   b = a[0];
+   test_if_v_strict(b,ww2,"x1,x2,x3");
+   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]);
+   Sweyl("x1,x2,x3,x4",[w]);
+   ans2 = ReParse(ans2[0]);
+   a = Sminimal(ans2);
+   Println("Minimal Resolution is "); sm1_pmat(a[0]);
+   b = a[0];
+   /* test_if_v_strict(b,w,"x1,x2,x3,x4"); */
+   return(a);
+ }
+ def test20b() {
+   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]],[1,2]);
+   Sweyl("x1,x2,x3,x4",[w]);
+   ans2 = ReParse(ans2[0]);
+   a = Sminimal(ans2);
+   Println("Minimal Resolution is "); sm1_pmat(a[0]);
+   b = a[0];
+   /* 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 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);
  }

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