From Andreas Enge 31 August 2011:
implement mul_karatsuba with three multiplications at precision around p,
instead of two at precision 2*p and one at precision p
requires analysis of error propagation
From Andreas Enge 30 August 2011:
As soon as dependent on mpfr>=3, remove auxiliary functions from
get_version.c and update mpc.h.
Use MPFR_RND? instead of GMP_RND?, and remove workarounds for MPFR_RNDA from
mpc-impl.h.
From Andreas Enge 05 July 2012:
Add support for rounding mode MPFR_RNDA.
From Andreas Enge and Paul Zimmermann 6 July 2012:
Improve speed of Im (atan) for x+i*y with small y, for instance by using
the Taylor series directly.
Bench:
- from Andreas Enge 9 June 2009:
Scripts and web page comparing timings with different systems,
as done for mpfr at http://www.mpfr.org/mpfr-2.4.0/timings.html
New functions to implement:
- from Joseph S. Myers 19 Mar 2012: mpc_erf,
mpc_erfc, mpc_exp2, mpc_expm1, mpc_log1p, mpc_log2, mpc_lgamma, mpc_tgamma
http://lists.gforge.inria.fr/pipermail/mpc-discuss/2012-March/001090.html
- from Andreas Enge and Philippe Théveny 17 July 2008
agm (and complex logarithm with agm ?)
- from Andreas Enge 25 June 2009:
correctly rounded roots of unity zeta_n^i
- implement a root-finding algorithm using the Durand-Kerner method
(cf http://en.wikipedia.org/wiki/Durand%E2%80%93Kerner_method)
See also the CEVAL algorithm from Yap and Sagraloff:
http://www.mpi-inf.mpg.de/~msagralo/ceval.pdf
New tests to add:
- from Andreas Enge and Philippe Théveny 9 April 2008
correct handling of Nan and infinities in the case of
intermediate overflows while the result may fit (we need special code)