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- import sys
- global gmax
- def byte(x):
- return x.to_bytes(1,sys.byteorder)
- class SemiGroup:
- def __init__(self,parent=None,x=None):
- if parent==None and x==None:
- self.m=1
- self.c=1
- self.g=0
- self.d=bytearray(3*gmax+1)
- for i in range(3*gmax+1):
- self.d[i]=1+int(i/2)
- elif parent!=None and x==None:
- self.m=parent
- self.c=self.m
- self.g=self.m-1
- self.d=bytearray(3*gmax+1)
- self.d[0]=1
- for i in range(1,2*self.m):
- self.d[i]=int(i/self.m)
- for i in range(3*gmax+1-2*self.m):
- self.d[i+2*self.m]=2+int(i/2)
- elif parent!=None and x!=None:
- if not parent.is_valid_irreductible(x):
- raise AttributeError("x is not irreducible")
- if x<parent.c:
- raise AttributeError("x is not effective")
-
- if parent.m==x:
- self.delta=1
- self.m=x+1
- else:
- if parent.d[x+parent.m]==2:
- self.delta=0
- else:
- self.delta=-1
- self.g=parent.g+1
- self.m=parent.m
- self.c=x+1
- self.d=bytearray(3*gmax+1)
- for y in range(x):
- self.d[y]=parent.d[y]
- self.d[x]=0
- for y in range(x+1,3*gmax+1):
- self.d[y]=parent.d[y]-min(1,parent.d[y-x])
-
- def __repr__(self):
- res='<'
- first=True
- for i in range(self.m,self.m+self.c+1):
- if self.d[i]==1:
- if not first:
- res+=','
- res+=repr(i)
- first=False
- return res+'>'+' g='+repr(self.g)
- def is_valid_irreductible(self,x):
- if x<0 or x>3*gmax:
- raise AttributeError("x is out of range")
- return self.d[x]==1 and x!=self.m
- def split_sons(self):
- first=None
- other=[]
- for x in range(self.c,self.c+self.m):
- if self.is_valid_irreductible(x):
- if first==None:
- first=SemiGroup(self,x)
- else:
- other.append(SemiGroup(self,x))
- return (first,other)
- def record(self,file):
- file.write(byte(self.c))
- file.write(byte(S.g))
- file.write(byte(S.m))
- file.write(self.d)
-
- if __name__=="__main__":
- file=open("genus","r")
- gmax=int(file.readline())
- file.close()
- print("Generate OAR tasks for cutted explorations of numerical semigroup up to genus",gmax,"...")
- mmax=int((3*(gmax+2))/5)
- param_file=open("oar/param")
- for m in range(3,mmax+1):
- S=SemiGroup(m)
- for k in range(gmax-m+1):
- (S,Others)=S.split_sons()
- task_filename="task_"+repr(m)+"_"+repr(k)
- task_file=open("tasks/"+task_filename,"wb")
- task_file.write(len(Others).to_bytes(8,sys.byteorder))
- task_file.write(byte(S.g))
- task_file.write(byte(S.m))
- for T in Others:
- T.record(task_file)
- task_file.close()
- param_file.write(task_filename+"\n")
- param_file.close()
- print("Generate OAR script ...")
-
- file=open("oar_wilf.sh",'w')
- file.write("#!/bin/sh\n")
- file.write("#OAR -l core=1,walltime=1:00:00\n")
- file.write("#OAR -t idempotent\n")
- file.write("#OAR -q besteffort\n")
- file.write("#OAR -t besteffort\n")
- file.write("#OAR --array-param-file oar/param\n")
- file.write("#OAR -O oar/output/j%jobid%\n")
- file.write("#OAR -E oar/error/j%jobid%\n")
- file.write("cd /nfs/home/lmpa/jfromentin/wilf\n")
- file.write("./wilf tasks/$*\n")
- file.write("mv tasks/$* tasks/done")
- file.write("mv tasks/$*-out tasks/out")
- file.close()
-
-
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