Projects: Difference between revisions

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43 bytes added ,  18 January 2020
→‎Numerical: Acknowledge {{patch|8172}}.
(→‎Numerical: Acknowledge {{patch|8172}}.)
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*Review implementing algorithm in this 2009 paper (https://epubs.siam.org/doi/pdf/10.1137/080738490) for xsum (sum with extra accuracy).  The existing implementation uses a 2005 paper.
*Review implementing algorithm in this 2009 paper (https://epubs.siam.org/doi/pdf/10.1137/080738490) for xsum (sum with extra accuracy).  The existing implementation uses a 2005 paper.


*Improve complex mapper functions. See W. Kahan, ``Branch Cuts for Complex Elementary Functions, or Much Ado About Nothing's Sign Bit (in The State of the Art in Numerical Analysis, eds. Iserles and Powell, Clarendon Press, Oxford, 1987) for explicit trigonometric formulae.
*Improve complex mapper functions. See W. Kahan, ``Branch Cuts for Complex Elementary Functions, or Much Ado About Nothing's Sign Bit (in The State of the Art in Numerical Analysis, eds. Iserles and Powell, Clarendon Press, Oxford, 1987) for explicit trigonometric formulae. See {{patch|8172}} for a previous attempt.


*Make functions like gamma() return the right IEEE Inf or NaN values for extreme args or other undefined cases.
*Make functions like gamma() return the right IEEE Inf or NaN values for extreme args or other undefined cases.

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