*-text-*- RCS: $Id: TODO,v 1.21 1999/05/16 16:58:43 jungman Exp $ ---------------------------------------------------------------------- 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 - airy.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: - airy_der.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: - airy_zero.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: - atanint.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: - bessel.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: - bessel_I0.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: - bessel_I1.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: - bessel_In.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: - bessel_Inu.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: - bessel_J0.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: - bessel_J1.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: - bessel_Jn.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: - bessel_Jnu.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: - bessel_K0.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: - bessel_K1.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: - bessel_Kn.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: - bessel_Knu.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: - bessel_Y0.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: - bessel_Y1.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: - bessel_Yn.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: - bessel_Ynu.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: - bessel_amp_phase.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: - bessel_i.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: - bessel_j.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: - bessel_k.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: - bessel_olver.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: - bessel_sequence.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: - bessel_temme.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: - bessel_y.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: - bessel_zero.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: - beta.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: - chebyshev.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: - clausen.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: - coulomb.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: - coulomb_bound.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: - coupling.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: - dawson.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: - debye.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: - dilog.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: - elementary.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: - ellint.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: - elljac.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: - erfc.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: - exp.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: - expint.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: - expint3.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: - fermi_dirac.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: - gamma.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: - gamma_inc.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: - gegenbauer.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: - hyperg.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: - hyperg_0F1.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: - hyperg_1F1.c - hyperg_2F0.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: - hyperg_2F1.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: - hyperg_U.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: - laguerre.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: - legendre_H3d.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: - legendre_Qn.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: - legendre_con.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: - legendre_poly.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: - log.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: - poch.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: - poly.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: - pow_int.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: - psi.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: - result.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: - shint.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: - sinint.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: - synchrotron.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: - transport.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: - trig.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: - zeta.c INTERFACES: ERRORESTIM: DEPRECATED: PASSTESTS: ---------------------------------------------------------------------- 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. ---------------------------------------------------------------------- The following are extra features which need not be implemented for a version 1.0 release. * Spheroidal wave functions. * Mathieu functions. * Weierstrass elliptic functions.