=================================================================== RCS file: /home/cvs/OpenXM/src/k097/lib/minimal/minimal-test.k,v retrieving revision 1.2 retrieving revision 1.3 diff -u -p -r1.2 -r1.3 --- OpenXM/src/k097/lib/minimal/minimal-test.k 2000/06/08 08:37:53 1.2 +++ OpenXM/src/k097/lib/minimal/minimal-test.k 2000/06/09 08:04:54 1.3 @@ -1,4 +1,4 @@ -/* $OpenXM: OpenXM/src/k097/lib/minimal/minimal-test.k,v 1.1 2000/05/24 15:31:28 takayama Exp $ */ +/* $OpenXM: OpenXM/src/k097/lib/minimal/minimal-test.k,v 1.2 2000/06/08 08:37:53 takayama Exp $ */ load["minimal.k"]; def test5() { local a,b,c,cc,v; @@ -139,7 +139,7 @@ def test8a() { v = [x,y,z]; b = ans; - Println("------ ker=im for Schreyer ?------------------"); + Println("------ ker=im for Schreyer ?----- wrong method!!!-----------"); c = Skernel(b[0],v); c = c[0]; sm1_pmat([c,b[1],v]); @@ -176,7 +176,7 @@ def test9() { } -/* Check if the complex is exact or not? */ +/* 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"; @@ -196,9 +196,94 @@ def test10() { ans_all = Sschreyer(pp); /* Schreyer by LaScala-Stillman */ ans2 = ans_all[0]; - r= SisExact_h(ans2,[x,y,z]); + 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"); + return(a); +} +/* f should be a string. */ +def test_ann3(f) { + local a,v,ww2,ans2; + a = Sannfs3_laScala2(f); + ans2 = a[0]; + v = [x,y,z]; + 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]); + Println(r); + return([r,ans2]); +} +def test11a() { + local a,v,ww2,ans2; +/* constructed by test11. + ans2 = + [[[y*Dy-z*Dz] , [-2*x*Dx-3*z*Dz+h^2] , [2*x*Dy*Dz^2-3*y*Dx^2*h] , [2*x*Dy^2*Dz-3*z*Dx^2*h]] , + [[3*Dx^2*h , 0 , Dy , -Dz] , + [6*x*Dy*Dz^2-9*y*Dx^2*h , -2*x*Dy*Dz^2+3*y*Dx^2*h , -2*x*Dx-3*y*Dy , 0] , + [0 , 2*x*Dy^2*Dz-3*z*Dx^2*h , 0 , 2*x*Dx+3*z*Dz] , + [2*x*Dx+3*z*Dz-h^2 , y*Dy-z*Dz , 0 , 0] , + [0 , 0 , 0 , 0] , + [2*x*Dy*Dz , 0 , z , -y] , + [0 , 0 , 0 , 0] , + [0 , 0 , 0 , 0] , + [0 , 0 , 0 , 0]] , + [[0 , 0 , 0 , 0 , 0 , 0 , 0 , 0 , 0] , + [0 , 0 , 0 , 0 , 0 , 0 , 0 , 0 , 0] , + [0 , 0 , 0 , 0 , 0 , 0 , 0 , 0 , 0] , + [-2*x*Dx-3*y*Dy-3*z*Dz-6*h^2 , -Dy , -Dz , 3*Dx^2*h , 3*Dy^2 , 3*Dy*Dz , -2*x*Dy , 2*x*Dz , 0] , + [0 , 0 , 0 , 0 , 0 , 0 , 0 , 0 , 0] , + [3*y*z , z , y , -2*x*Dy*Dz , -3*z*Dy , 2*x*Dx , 2*x*z , -2*x*y , 0] , + [0 , 0 , 0 , 0 , 0 , 0 , 0 , 0 , 0] , + [0 , 0 , 0 , 0 , 0 , 0 , 0 , 0 , 0] , + [0 , 0 , 0 , 0 , 0 , 0 , 0 , 0 , 0]] , + [[0 , 0 , 0 , 0 , 0 , 0 , 0 , 0 , 0] , + [0 , 0 , 0 , 0 , 0 , 0 , 0 , 0 , 0] , + [0 , 0 , 0 , 0 , 0 , 0 , 0 , 0 , 0]]] +*/ + ans2 = + [[[y*Dy-z*Dz] , [-2*x*Dx-3*z*Dz+h^2] , [2*x*Dy*Dz^2-3*y*Dx^2*h] , [2*x*Dy^2*Dz-3*z*Dx^2*h]] , + [[3*Dx^2*h , 0 , Dy , -Dz] , + [6*x*Dy*Dz^2-9*y*Dx^2*h , -2*x*Dy*Dz^2+3*y*Dx^2*h , -2*x*Dx-3*y*Dy , 0] , + [0 , 2*x*Dy^2*Dz-3*z*Dx^2*h , 0 , 2*x*Dx+3*z*Dz] , + [2*x*Dx+3*z*Dz-h^2 , y*Dy-z*Dz , 0 , 0] , + [2*x*Dy*Dz , 0 , z , -y]], + [[-2*x*Dx-3*y*Dy-3*z*Dz-6*h^2 , -Dy , -Dz , 3*Dx^2*h , 3*Dy*Dz ] , + [3*y*z , z , y , -2*x*Dy*Dz , 2*x*Dx]]]; + + sm1_pmat( ans2[1]*ans2[0] ); + sm1_pmat( ans2[2]*ans2[1] ); + 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]); + Println(r); + return([r,ans2]); +} + +def test12() { + local a,v,ww2,ans2; + a = Sannfs3("x^3-y^2*z^2"); + ans2 = a[0]; + v = [x,y,z]; + 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]); + Println(r); + Println("It may stop by non-exact statement. The code of Sminimal_v (non-LaScala-Stillman contains bugs."); + return([r,ans2]); +} +