p-adic number arithmetic library

paN is a FreeBasic library for computing with p-adic numbers.
Unpack to the base directory of your FreeBasic installation.

The maximum precision is fixed at compile time,
it's set as emx in include file \modules\pan_lib.bi
This file doubles as library documentation.

Rational reconstruction is done with
signed 64-bit integers, thus has a limited range.

Contents of the paN packet

Makefiles are in the base directory

1_make_pan_dll.bat
2_make_pa_demos.bat
3_run_all_demos.bat

_make_one_demo.bat
_run_one_demo.bat

paN\library\

pan_arith.bas
  fixed point p-adic number arithmetic for FreeBasic

libpan_arith.dll.a
  pan_arith import library

paN\modules\bin\

pan_arith.dll
  pan_arith dynamic link library

paN\modules\

pan_lib.bi
  Include file for p-adic number arithmetic

pa_first.bas
  First steps: input conversion and basic arithmetic

pa_logistic.bas
  Iterating the logistic map

pa_Hilbert.bas
  Inverting an order m Hilbert matrix

pa_roots.bas
  square roots and Teichmüller characters

pa_trans.bas
  Transcendental functions: formal properties
  (exp_p, log_p and binomial)

pa_twist.bas
  p-adic interpolation: twisted binomial series

pa_omega.bas
  p-adic omega constant: solve w * exp_p(w) = q

pa_gamma.bas
  Morita's p-adic analogue of the gamma function

pa_agM.bas
  p-adic arithmetic-geometric Mean

paN\workdir\

  Plain text input files

 

Copyright:

        (C) 2021 Djoser.j.Spacher, All rights reserved

License:

        GNU General Public License, GPL

      ______________________________________________

Hensel, K., 'Über eine neue Begründung der Theorie der algebraischen Zahlen,' 1897

Krishnamurthy et al., 'Finite segment p-adic number systems,' 1975

Weger, B. de, 'Approximation lattices of p-adic numbers,' 1986

Gouvêa, F., p-adic Numbers - An introduction, Springer-Verlag, 1997

Caruso, X., 'Computations with p-adic numbers,' (pp.1-31), 2017

The FreeBASIC compiler