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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. 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