| Six User RPL programs are provided to calculate Bernoulli numbers in NUM APPROX mode: IBERN uses the built-in IBERNOULLI command, returning approximate results, Bn uses approximation methods for moderate speed and accuracy, BnT uses a table of all the representable Bernoulli numbers for the best speed and accuracy, BnTL and BnTL2 return lists of Bernoulli numbers, using BnT, and RnRAT finds the ratio of two consecutive non-zero Bernoulli numbers with an asymptotic relationship. Three additional programs illustrate the application of the Bernoulli numbers to evaluate a specific definite integral. |
PCON provides all the physical constants (about 350) from the CODATA 2018 revision of suggested values. The constants are returned with tag identifiers and as unit objects depending on flag 61. Utility programs are provided: to retrieve a single constant object; to retrieve a constant's numerical value; to retrieve a constant's uncertainty; and to rebuild the library. PCON is distributed as a library with the User RPL source and comprehensive PDF documentation.
A User RPL program which extracts the real or complex coefficients of a symbolic polynomial. The vector of coefficients is compatible with PROOT and PEVAL. POLYc is intended to run in Numeric Approx mode. Other programs are provided to extract the coefficients of a rational polynomial, and the coefficients of built-in functions such as LAGRANGE and LEGENDRE. Complete documentation in PDF includes examples and annotated source code. Version 2.0 implements minor changes to error handling and documentation improvements.