version 1.9, 2000/08/01 03:42:35 |
version 1.10, 2000/08/01 05:16:02 |
|
|
/* $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 1.9 2000/08/01 03:42:35 takayama Exp $ */ |
load["minimal.k"]; |
load["minimal.k"]; |
def sm1_resol1(p) { |
def sm1_resol1(p) { |
sm1(" p resol1 /FunctionValue set "); |
sm1(" p resol1 /FunctionValue set "); |
|
|
sm1_pmat(c); |
sm1_pmat(c); |
Println(IsExact_h(c,"x,y,z")); |
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; |
Sweyl("x,y,z",[w]); b = Reparse(b); |
Sweyl(v,[w]); b = Reparse(resmat); |
c=Sinit_w(b,w); |
c=Sinit_w(b,w); |
Println("Resolution (b)----"); |
Println("Resolution (b)----"); |
sm1_pmat(b); |
sm1_pmat(b); |
Println("Initial (c)----"); |
Println("Initial (c)----"); |
sm1_pmat(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); |
g = Sinvolutive(b[0],w); |
Println("Involutive basis ---"); |
/* Println("Involutive basis ---"); |
sm1_pmat(g); |
sm1_pmat(g); */ |
Println("Is same ideal?"); |
Println("Is same ideal?"); |
Println(IsSameIdeal_h(g,c[0],"x,y")); |
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() { |
def test18() { |
a=Sannfs2("x^3-y^2"); |
a=Sannfs2("x^3-y^2"); |
b=a[0]; w = ["x",-1,"y",-1,"Dx",1,"Dy",1]; |
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)----"); |
|
sm1_pmat(c); |
|
g = Sinvolutive(b[0],w); |
|
Println("Involutive basis ---"); |
|
sm1_pmat(g); |
|
Println("Is same ideal?"); |
|
Println(IsSameIdeal_h(g,c[0],"x,y")); |
|
|
|
} |
} |
|
|
|
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); |
|
} |
|
|