Do you have a special need to use long doubles with extended precision for nupic?
Ideally, you should modify nupic.core so that it works correctly when sizeof(long double) == sizeof(double) (i.e. the largest available float is float64; there is no extended precision available). This is how the standard windows abi works (as defined by msvc among others), and mingwpy is moving to match it for compatibility.
(The problem is that even if you only use long double inside your own code, for this to work right mingwpy has to set some global extended precision settings in the fpu, and in programs that mix mingwpy and msvc code then their disagreement about what to do with this global state is problematic.)
-n
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It depends entirely on how your code is using long double. Somewhere in your codebase the string "long double" appears -- that's the code that you need to fix :-)
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Do you have a special need to use long doubles with extended precision for nupic?
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