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There exists two usage cases where analyzing dimensions specifications are important. In the first case, the size of output arrays must be defined based on the inputs to a Fortran function. Because Fortran supports arbitrary bases for indexing, for instance, `arr(lower:upper)`, f2py has to evaluate an expression `upper - lower + 1` where `lower` and `upper` are arbitrary expressions of input parameters. The evaluation is performed in C, so f2py has to translate Fortran expressions to valid C expressions (an alternative approach is that a developer specifies the corresponding C expressions in a .pyf file). In the second case, when user provides an input array with a given size but some hidden parameters used in dimensions specifications need to be determined based on the input array size. This is a harder problem because f2py has to solve the inverse problem: find a parameter `p` such that `upper(p) - lower(p) + 1` equals to the size of input array. In the case when this equation cannot be solved (e.g. because the input array size is wrong), raise an error before calling the Fortran function (that otherwise would likely crash Python process when the size of input arrays is wrong). f2py currently supports this case only when the equation is linear with respect to unknown parameter. z.f90a  function get_arr_size_{count}(a, n) result (length) integer, intent(in) :: n integer, dimension({dimspec}), intent(out) :: a integer length length = size(a) end function subroutine get_inv_arr_size_{count}(a, n) integer :: n ! the value of n is computed in f2py wrapper !f2py intent(out) n integer, dimension({dimspec}), intent(in) :: a if (a({first}).gt.0) then ! print*, "a=", a endif end subroutine )nz2*nz2:nzn/2z5 - n/2z3*n:20zn*(n+1):n*(n+5)z2*n, nz 2*n:3*n*n+2*n,:r1z, )countdimspecfirstrc|jj|}t|jd|}dD]}||\}}|j|k(rJy)N get_arr_size_rrr) all_dimspecsindexgetattrrsize)rrr get_arr_sizer~szr,s rtest_array_sizezTestDimSpec.test_array_sizesX!!''0t{{mE7,CD  A OEB66R< <!r c8|jj|}t|jd|}t|jd|}dD]H}||\}}||jvr |||}n||}||\} } || k(r?J|||| fy)Nrget_inv_arr_size_r)rrrrnonlinear_dimspecs) rrrrget_inv_arr_sizer~rr,n1sz1_s rtest_inv_array_sizezTestDimSpec.test_inv_array_sizes!!''0t{{mE7,CD "4;;2CE70KL A OEB$111&a+&a(""%FC9 .q"b#. .9!r N)r!r"r#__doc__suffixtextwrapdedent code_templatelinear_dimspecsrrcode enumeraterrsplitlstformatjoinpytestmark parametrizeslowrr).0ds00rr}r}s<F#HOO% M&O**"%77L D#L1w?F}}S?QR?Q!3!8 Q4?QR $$))C.%  2 [[Y 5 [[ 6  [[Y 5/6/'Ss !C6r}ceZdZdZy)TestModuleDeclarationctjdddd}tjt|g}t |dk(sJ|dddd d k(sJy) Nr r rz foo_deps.f90rrr+abar=z bar('abar')r1r8s rtest_dependenciesz'TestModuleDeclaration.test_dependenciess\ We^^L''U 53x1}}1vf~f%c*m;;;r N)r!r"r#rr&r rrrsr0sG D#  ,$-- ,% % N??:4==&t}}II*d/$--d/N<<3t}}3 ' '"E"EH22St}}S882'2'h