Questions about PG ID to OSDs

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Hi ,
I'm reading CRUSH and RADOS thesis,from these thesis , 
i can get the algorithms:

object_id = <object_number,inode_number>;
pg_id = (r,hash(object_id) & mask)  ;   // closely resembles consistent
hashing

but i am wondering how to map a pg_id to OSDs by CRUSH .
Example , 
if pg_id = 1.12,exist osd0,osd1,osd2,osd3,
then how to map pg_id = 1.12 to these osds ?  the algorithms ? the
detail steps ?

Thanks a lot.

Jeff .C.P.Wu


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