Updated 'Solve & Integrate" Module w/ Recursion Support - Printable Version +- HP Forums (https://www.hpmuseum.org/forum) +-- Forum: HP Software Libraries (/forum-10.html) +--- Forum: HP-41C Software Library (/forum-11.html) +--- Thread: Updated 'Solve & Integrate" Module w/ Recursion Support (/thread-7736.html) |
Updated 'Solve & Integrate" Module w/ Recursion Support - Ángel Martin - 02-07-2017 11:25 AM Updated version of the SIROM Module is available. Short on the heels of a nested implementation of FINTG for double integrals, it is now also possible to use FROOT in a recursive scheme to resolve systems of 2 equations (linear or not). The module includes the original SOLVE and INTEG (renamed as FROOT and FINTG), plus several other FOCAL routines for root-finding and integral calculations. Three housekeeping MCODE functions are included to manage the nested configurations: RESET, CLOAK, and EXPOSE - all completely transparent to the user, refer to the examples provided in the ROM for utilization details. FOCAL programs for double integrals and systems of 2 equations are also thrown in so you can compare the methodologies. Several application examples are included, like Sine & Cosine Integrals, Error Function, Inverse Normal Probability, Fourier Coefficients, Bessel J(n,x), Integral of Bessel J(n,x), and Zeros of Bessel J(n,x) for integer orders. Here's the QRG for the ROM contents - 41 FAT entries in total: Code: # Name Description Instructions The routines are not fast, their interest is in the methodology - not optimized for speed to say the least. If you need faster response then the SandMath provides dedicated MCODE for many of these and yet some more. Using the 41-CL or turbo mode on emulators is highly recommended. A manual will follow - early adopters can get started with the MOD file attached. PS. The recursive root finding in "FRT2" requires the Library#4 module also plugged in. |