===================================================================
RCS file: /home/cvs/OpenXM/src/k097/lib/restriction/demo.k,v
retrieving revision 1.1
retrieving revision 1.3
diff -u -p -r1.1 -r1.3
--- OpenXM/src/k097/lib/restriction/demo.k	2000/12/14 13:18:41	1.1
+++ OpenXM/src/k097/lib/restriction/demo.k	2000/12/27 08:09:27	1.3
@@ -1,4 +1,4 @@
-/* $OpenXM$  */
+/* $OpenXM: OpenXM/src/k097/lib/restriction/demo.k,v 1.2 2000/12/15 02:44:32 takayama Exp $  */
 
 load["restriction.k"];;
 load("../ox/ox.k");;
@@ -6,6 +6,7 @@ load("../ox/ox.k");;
 def demoSendAsirCommand(a) {
   a.executeString("load(\"bfct\");");
   a.executeString(" def myann(F) { B=ann(eval_str(F)); print(B); return(map(dp_ptod,B,[hoge,x,y,z,s,hh,ee,dx,dy,dz,ds,dhh])); }; ");
+  a.executeString(" def myann0(F) { B=ann0(eval_str(F)); print(B); return(map(dp_ptod,B[1],[hoge,x,y,z,s,hh,ee,dx,dy,dz,ds,dhh])); }; ");
   a.executeString(" def mybfct(F) { return(rtostr(bfct(eval_str(F)))); }; ");
 }
 
@@ -31,6 +32,46 @@ def asirAnnfsXYZ(a,f) {
   return(b);
 }
 
+def asir_rpc_old(argv_rpc_asir) {
+   sm1(" oxasir.ccc [ ] eq {
+       (Starting ox_asir server.) message
+        ox_asirConnectMethod
+        } {  } ifelse ");
+   sm1(" oxasir.ccc argv_rpc_asir asir /FunctionValue set ");
+}
+def asir_define_own_functions() {
+   asir_rpc_old(["igcd",2,3]);
+   sm1(" oxasir.ccc (def mygeneric_bfct(Id,V,DV,W)  {
+                            return( rtostr(generic_bfct(Id,V,DV,W))); 
+                      })  oxsubmit ");
+}
+
+def asir_generic_bfct(ii,vv,dd,ww) {
+   local ans;
+   ans = asir_rpc_old(["mygeneric_bfct",ii,vv,dd,ww]);
+   return(ans);
+}
+/* asir_generic_bfct([Dx^2+Dy^2-1,Dx*Dy-4],[x,y],[Dx,Dy],[1,1]): */
+
+def asir_BfRoots2(G) {
+   local bb,ans,ss;
+   sm1(" G flatten {dehomogenize} map /G set ");
+   asir_define_own_functions();
+   ss = asir_generic_bfct(G,[x,y],[Dx,Dy],[1,1]);
+   bb = [ss];
+   sm1(" bb 0 get findIntegralRoots { (universalNumber) dc } map /ans set ");
+   return([ans, bb]);
+}
+def asir_BfRoots3(G) {
+   local bb,ans,ss;
+   sm1(" G flatten {dehomogenize} map /G set ");
+   asir_define_own_functions();
+   ss = asir_generic_bfct(G,[x,y,z],[Dx,Dy,Dz],[1,1,1]);
+   bb = [ss];
+   sm1(" bb 0 get findIntegralRoots { (universalNumber) dc } map /ans set ");
+   return([ans, bb]);
+}
+
 def findMinSol(f) {
   sm1(" f (string) dc findIntegralRoots 0 get (universalNumber) dc /FunctionValue set ");
 }
@@ -49,6 +90,7 @@ def asirAnnXYZ(a,f) {
   return(b);
 }
 
+
 def nonquasi2(p,q) {
   local s,ans,f;
   f = x^p+y^q+x*y^(q-1);
@@ -65,11 +107,62 @@ def nonquasi2(p,q) {
   Res = Sminimal(pp);
   Res0 = Res[0];
   Println("Step2: (-1,1)-minimal resolution (Res0) "); sm1_pmat(Res0);
-  R = BfRoots1(Res0[0],"x,y");
+/*  R = BfRoots1(Res0[0],"x,y"); */
+  R = asir_BfRoots2(Res0[0]);
   Println("Step3: computing the cohomology of the truncated complex.");
   Print("Roots and b-function are "); Println(R);
   R0 = R[0];
   Ans=Srestall(Res0, ["x", "y"],  ["x", "y"], R0[Length(R0)-1]);
   Print("Answer is "); Println(Ans[0]);
+  return(Ans);
+}
+
+def asirAnn0XYZ(a,f) {
+  local p,b,b0;
+  RingD("x,y,z,s");  /* Fix!! See the definition of myann() */
+  p = ToString(f);
+  b = a.rpc("myann0",[p]);
+  Print("Annhilating ideal of f^r is "); Println(b);
+  return(b);
+}
+
+def DeRham2WithAsir(f) {
+  local s;
+  s = ToString(f);
+  II = asirAnn0XYZ(asssssir,f);
+  Print("Step 1: Annhilating ideal (II)"); Println(II);
+  sm1(" II  { [(x) (y) (Dx) (Dy) ] laplace0 } map /II set ");
+  Sweyl("x,y",[["x",-1,"y",-1,"Dx",1,"Dy",1]]);
+  pp = Map(II,"Spoly");
+  Res = Sminimal(pp);
+  Res0 = Res[0];
+  Print("Step2: (-1,1)-minimal resolution (Res0) "); sm1_pmat(Res0);
+  /* R = BfRoots1(Res0[0],"x,y"); */
+  R = asir_BfRoots2(Res0[0]);
+  Println("Step3: computing the cohomology of the truncated complex.");
+  Print("Roots and b-function are "); Println(R);
+  R0 = R[0];
+  Ans=Srestall(Res0, ["x", "y"],  ["x", "y"],R0[Length(R0)-1] );
+  Print("Answer is ");Println(Ans[0]);
+  return(Ans);
+}
+def DeRham3WithAsir(f) {
+  local s;
+  s = ToString(f);
+  II = asirAnn0XYZ(asssssir,f);
+  Print("Step 1: Annhilating ideal (II)"); Println(II);
+  sm1(" II  { [(x) (y) (z) (Dx) (Dy) (Dz)] laplace0 } map /II set ");
+  Sweyl("x,y,z",[["x",-1,"y",-1,"z",-1,"Dx",1,"Dy",1,"Dz",1]]);
+  pp = Map(II,"Spoly");
+  Res = Sminimal(pp);
+  Res0 = Res[0];
+  Print("Step2: (-1,1)-minimal resolution (Res0) "); sm1_pmat(Res0);
+/*  R = BfRoots1(Res0[0],"x,y,z"); */
+  R = asir_BfRoots3(Res0[0]);
+  Println("Step3: computing the cohomology of the truncated complex.");
+  Print("Roots and b-function are "); Println(R);
+  R0 = R[0];
+  Ans=Srestall(Res0, ["x", "y", "z"],  ["x", "y", "z"],R0[Length(R0)-1] );
+  Print("Answer is ");Println(Ans[0]);
   return(Ans);
 }