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 1.8 and 1.10

-version 1.8, 2000/07/31 01:21:41
+version 1.10, 2000/08/01 05:16:02
 Line 1
 Line 1
 Line 1
- /* $OpenXM: OpenXM/src/k097/lib/minimal/minimal-test.k,v 1.7 2000/07/30 02:26:25 takayama Exp $ */
+ /* $OpenXM: OpenXM/src/k097/lib/minimal/minimal-test.k,v 1.9 2000/08/01 03:42:35 takayama Exp $ */
  load["minimal.k"];
  def sm1_resol1(p) {
    sm1(" p resol1 /FunctionValue set ");
 Line 79  def test_ann3(f) {
 Line 79  def test_ann3(f) {
 Line 79  def test_ann3(f) {
    ans2 = ReParse(ans2);
    r= IsExact_h(ans2,[x,y,z]);
    Println(r);
-   return([r,ans2]);
+   return([r,ans2,a]);
  }
  def test11a() {
    local a,v,ww2,ans2;
 Line 240  def test16b() {
 Line 240  def test16b() {
 Line 240  def test16b() {
    return(Sminimal(ans3));
  }
+ def test17() {
+    a=Sannfs3("x^3-y^2*z^2");
+    b=a[0]; w = ["x",-1,"y",-1,"z",-1,"Dx",1,"Dy",1,"Dz",1];
+    Sweyl("x,y,z",[w]); b = Reparse(b);
+    c=Sinit_w(b,w);
+    Println("Resolution (b)----");
+    sm1_pmat(b);
+    Println("Initial (c)----");
+    sm1_pmat(c);
+    Println(IsExact_h(c,"x,y,z"));
+ }
+ def test_if_v_strict(resmat,w,v) {
+    local b,c;
+    Sweyl(v,[w]); b = Reparse(resmat);
+    c=Sinit_w(b,w);
+    Println("Resolution (b)----");
+    sm1_pmat(b);
+    Println("Initial (c)----");
+    sm1_pmat(c);
+    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 ---");
+      sm1_pmat(g); */
+    Println("Is same ideal?");
+    Println(IsSameIdeal_h(g,c[0],"x,y"));
+ }
+ 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];
+    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];
+    test_if_v_strict(b,w,"x,y");
+    return(a);
+ }
+ def test19() {
+   Println("test19 try to construct a minimal free resolution and check if it is v-strict.");
+   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]);
+   b = a[0];
+   test_if_v_strict(b,ww2,"x1,x2,x3");
+   return(a);
+ }
+ 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);
+ }

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