todo

来自「开放gsl矩阵运算」· 代码 · 共 530 行

*-text-*-
RCS: $Id: TODO,v 1.21 1999/05/16 16:58:43 jungman Exp $


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The following should be finished before a 1.0 level release.

* Implement the conicalP_sph_reg() functions.
  DONE: Fri Nov  6 23:33:53 MST 1998 [GJ]

* Irregular (Q) Legendre functions, at least
  the integer order ones. More general cases
  can probably wait.
  DONE: Sat Nov  7 15:47:35 MST 1998 [GJ]

* Make hyperg_1F1() work right.
  This is the last remaining source of test failures.
  The problem is with an unstable recursion in certain cases.
  Look for the recursion with the variable named "start_pair";
  this is stupid hack to keep track of when the recursion
  result is going the wrong way for awhile by remembering the
  minimum value. An error estimate is amde from that. But it
  is just a hack. Somethign must be done abou that case.

* Clean-up Coulomb wave functions. This does not
  mean completing a fully controlled low-energy
  evaluation, which is a larger project.
  DONE: Sun May 16 13:49:47 MDT 1999 [GJ]

* Clean-up the Fermi-Dirac code. The full Fermi-Dirac
  functions can probably wait until a later release,
  but we should have at least the common j = integer and
  j = 1/2-integer cases for the 1.0 release. These
  are not too hard.
  DONE: Sat Nov  7 19:46:27 MST 1998 [GJ]

* Go over the tests and make sure nothing is left out.

* Sanitize all the error-checking, error-estimation,
  algorithm tuning, etc.

* Fill out our scorecard, working from Lozier's
  "Software Needs in Special Functions" paper.

* Final Seal of Approval
  This section has itself gone through several
  revisions (sigh), proving that the notion of
  done-ness is ill-defined. So it is worth
  stating the criteria for done-ness explicitly:
  o interfaces stabilized
  o error-estimation in place
  o all deprecated constructs removed
  o passes tests


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The following are important but probably will
not see completion before a 1.0 level release.

* Incomplete Fermi-Dirac functions.
  Other Fermi-Dirac functions, including the
  generic 1/2-integer case, which was not done.

* Implement the low-energy regime for the Coulomb
  wave functions. This is fairly well understood in
  the recent literature but will require some
  detailed work. Specifically this means creating
  a drop-in replacement for coulomb_jwkb() which
  is controlled and extensible.

* General Legendre functions (at least on the cut).
  This subsumes the toroidal functions, so we need not
  consider those separately. SLATEC code exists (originally
  due to Olver+Smith).

* Characterize the algorithms. A significant fraction of
  the code is home-grown and it should be reviewed by
  other parties.


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The following are extra features which need not
be implemented for a version 1.0 release.

* Spheroidal wave functions.

* Mathieu functions.

* Weierstrass elliptic functions.