R2 = iegenlib.Relation("{[i,j]->[ip,jp]: ip=f(i) and jp=2j}")
print "R2 = ", R2
R3 = iegenlib.Relation("{[q,r]->[i,j]: i=q and j=r}")
print "R3 = ", R3
R3 = R3.Compose(R2) # Compose operation #
print "R3 = ", R3
R2 = R2.Inverse() # Inverse operation #
print "R2 = ", R2
# Some examples that use function inverse declarations.
iegenlib.appendCurrEnv("f() = inverse f_inv()")
S5 = iegenlib.Set("{[i,j]:i=f(f_inv(j))}")
print "S5 = ", S5
R4 = iegenlib.Relation("{[i,j]->[ip,j]: ip=f(i)}")
print "R4 = ", R4
S6 = R4.Apply(S5)
print "S6 = ", S6
# The user can obtain dot files for SparseConstraints objects of sets/relations
# from the IEGenlib Python Interface by using toDotString() methods. Python
# methods open(filename, mode) and write(item) can be used to open and write to
# the output file, as in the following examples:
print "S4 = ", S4
R2 = iegenlib.Relation("{[i,j]->[ip,jp]: ip=f(i) and jp=2j}")
print "R2 = ", R2
R3 = iegenlib.Relation("{[q,r]->[i,j]: i=q and j=r}")
print "R3 = ", R3
R3 = R3.Compose(R2) # Compose operation #
print "R3 = ", R3
R2 = R2.Inverse() # Inverse operation #
print "R2 = ", R2
# Some examples that use function inverse declarations.
iegenlib.appendCurrEnv("f() = inverse f_inv()")
S5 = iegenlib.Set("{[i,j]:i=f(f_inv(j))}")
print "S5 = ", S5
R4 = iegenlib.Relation("{[i,j]->[ip,j]: ip=f(i)}")
print "R4 = ", R4
S6 = R4.Apply(S5)
print "S6 = ", S6
# The user can obtain dot files for SparseConstraints objects of sets/relations
# from the IEGenlib Python Interface by using toDotString() methods. Python
# methods open(filename, mode) and write(item) can be used to open and write to
# the output file, as in the following examples:
# A8, access relation for S3, targets data array x
print
print "==== A8, access relation for S3"
a8 = Relation("{[s,i]->[k]: k=inter2(i)}")
print a8
print "Modified a8, or a8_0"
a8_0 = a8.Compose(S3_sched.Inverse())
print a8_0
#### DataPermuteTrans
print
print "==== DataPermuteTrans"
# transformation specification
print
iegenlib.appendCurrEnv("sigma() = inverse sigma_inv()")
R_x0_x1 = Relation("{[k] -> [j] : j = sigma(k)}")
print "data reordering specification: (R_x0_x1) = ", R_x0_x1
# straight-forward specification of input to cpack
print
print "UFS specification for sigma"
cpack_in = Relation(
"{[ii] -> [p] : p=inter1(ii) } union {[ii] -> [p] : p=inter2(ii) }")
print " input to cpack: \n cpack_in = ", cpack_in
# FIXME: Here, we are projecting out variables with the composition
# but we do not have two functions or two function inverses.
# BUT in the paper we were just providing these.
## more involved computation of input to cpack that does
## some testing of the union, inverse, and compose operations
print
print "==== A8, access relation for S3"
a8 = Relation("{[s,i]->[k]: k=inter2(i)}")
print a8
print "Modified a8, or a8_0"
a8_0 = a8.Compose(S3_sched.Inverse())
print a8_0
#### DataPermuteTrans
print
print "==== DataPermuteTrans"
# transformation specification
print
iegenlib.appendCurrEnv("sigma() = inverse sigma_inv()");
R_x0_x1 = Relation("{[k] -> [j] : j = sigma(k)}")
print "data reordering specification: (R_x0_x1) = ", R_x0_x1
# straight-forward specification of input to cpack
print
print "UFS specification for sigma"
cpack_in = Relation("{[ii] -> [p] : p=inter1(ii) } union {[ii] -> [p] : p=inter2(ii) }")
print " input to cpack: \n cpack_in = ", cpack_in
# FIXME: Here, we are projecting out variables with the composition
# but we do not have two functions or two function inverses.
# BUT in the paper we were just providing these.
## more involved computation of input to cpack that does
## some testing of the union, inverse, and compose operations