... irrelevant ... What is the compatible function for sizeinbase_gmp in BigInt?

Do you know what sizeinbase_gmp does? Once you can answer that you can answer what the compatible function is.

http://search.cpan.org/src/CHIPT/Math-GMP-2.0/GMP.xs

int
sizeinbase_gmp(n, b)
       mpz_t * n
       int b

  CODE:
    RETVAL = mpz_sizeinbase(*n, b);
[download]

http://docs.freebsd.org/info/gmp/gmp.info.Miscellaneous_Integer_Functions.html
 - Function: size_t mpz_sizeinbase (mpz_t OP, int BASE)
     Return the size of OP measured in number of digits in base BASE.
     The base may vary from 2 to 36.  The returned value will be exact
     or 1 too big.  If BASE is a power of 2, the returned value will
     always be exact.
...

Here's my guess

sub Math::BigInt::sizeinbase_gmp {
    my $bigint = shift; # ?
    my $base = shift;
    require Math::BaseCnv;
    return Math::BaseCnv::cnv( length($bigint)-1, 10, $base (;
}
[download]

But like runrig says, this is a bad road you're going down (especially stumbling about like this). I don't know why you switched to cygwin all of a sudden, especially since you can get Math::GMP for activeperl flavored perl from here.

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