hp41programs

yolaindex

-This website contains several programs that I've written for this wonderful pocket-calculator: the HP-41C/CV/CX

-Some of these programs are very slow on a real HP-41, so it's sometimes better to use them
on a good emulator like V41 - written by Warren Furlow. See www.hp41.org
-You can convert the text files to raw files with http://www.hpmuseum.org/software/hp41uc.zip
or https://sourceforge.net/p/hp41uc/code/ci/master/tree/Win32App_x86/Win32App_x86.zip?format=raw

-The HP41-memory may be increased a lot with the modules built by Diego Diaz like NoV-64. See www.clonix41.org

-Another alternative is the new fantastic 41CL created by Monte Dalrymple. Cf www.systemyde.com/hp41/

-Most of these programs will also run on an HP-42s and DM42
-And with the excellent free42 , they will run more than 5000 times faster !

-The WP34s created by Paul Dale, Walter Bonin and Marcus von Cube may also be used with minor modifications of the HP41 programs.
-Though not so fast as free42, it is much faster than the HP41.
-And it is certainly the most powerful purely RPN calculator.

-Many programs will also run with RPN-25 CE: cf Willy Kunz http://www.cuveesoft.ch/rpn25/index.html

-I hope that these routines will be useful ...
-If you want to learn the HP-41 programming language, I strongly recommend the 3 excellent books:

[1] Philippe Descamps & Jean-Jacques Dhenin , "Programmer HP-41" - PSI - ISBN 2-86595-056-5 ( in French )
[2] Keith Jarett - "Synthetic Programming Made Easy" - Synthetix - ISBN 0-9612174-0-5
[3] Ken Emery - "HP-41 M-Code for Beginners" - Synthetix - ISBN 0-9612174-7-2

>>> The following pages have been recently added or updated:

• Astronomical Ephemeris(VIII) ( 2025/01/14 )
• Poker7 ( 2025/01/01 )
• Astronomical Ephemeris(IV) ( 2024/04/12 )
• Heliocentric Coordinates of the Giant Planets ( 2024/04/03)
• Terrestrial Geodesic Distance(3) ( 2024/04/01 )
• Min-Max Line ( 2024/02/20 )
• Hugelschaffer Egg ( 2023/12/19 )
• Numerical Integration ( 2023/11/23 )
• Numerical Differentiation(2) ( 2023/11/07 )
• Heron Formula ( 2023/10/30 )
• Astronomical Ephemeris(V) ( 2023/10/13 )
• Equinoxes & Solstices ( 2023/09/14 )
• Ellipse Perimeter ( 2023/09/03 )
• Age of the Universe & Redshift -> Distance ( 2023/07/24 )
• Terrestrial Geodesic Distance(4) ( 2023/06/27 )

Analytical Methods

• Continued Fractions
• Difference Equations
• Discrete Constrained Optimization
• Downhill Simplex Method
• Extrema
• Linear & Non-Linear Systems
• Nested Radicals
• Successive Approximations Method
• Sums & Series

Arithmetic

• Apéry Numbers
• Base Conversion
• Batrachions
• Bell Numbers
• Bernoulli Numbers
• Binomial & Multinomial Coefficients
• Catalan Numbers
• Decimals of e
• Decimals of PI
• Decimal to Fraction
• Diophantine Equations
• Euler & Eulerian Numbers
• Factorials
• Farey Sequences
• GCD , LCM , Bezout Identity
• Golomb Sequence
• Harmonic Numbers
• Kaprekar Series
• K-Fibonacci Numbers
• Lobb Numbers
• Modular Arithmetic
• Number of Partitions
• Palindromes
• Pell Equation
• Permutations
• Primes & Number Theoretic Functions
• Ramanujan Tau Numbers
• Square-Roots & Powers
• Stirling Numbers

Astronomy

• Astronomical Ephemeris
• Astronomical Ephemeris(II)
• Astronomical Ephemeris(III)
• Astronomical Ephemeris(IV)
• Astronomical Ephemeris(V)
• Astronomical Ephemeris(VI)
• Astronomical Ephemeris(VII)
• Astronomical Ephemeris(VIII)
• Barycentric Dynamical Time
• Binary Stars
• Comets
• DeltaT
• Eclipses
• Ephemerides & Chebyshev Polynomials
• Equinoxes & Solstices
• Gravitational n-Body Problem
• Gravitational n-Body Problem(2)
• Great Planetary Conjunctions
• Heliocentric Coordinates of the Giant Planets
• Illuminated Fraction of the Moon's disk
• INPOP Ephemerides
• INPOP-HP41 Ephemerides
• Jovian & Saturnian Satellites
• JPL DE422-423-424 Ephemerides
• JPL-HP41 Ephemerides
• Kepler's Equation
• Local Solar Time
• Moon's Nodes
• Nutation
• Obliquity of the Ecliptic & Nutation
• Orbit Determination
• Orbital Elements from an Equinox to another one
• Parallax
• Phases of the Moon
• Planets + Jovian & Saturnian Satellites
• Planets in Perihelion and Aphelion
• Precession
• Refraction
• Refraction2
• Refraction3
• Rise Transit Set
• Satellites of Jupiter
• Satellites of Jupiter, Saturn & Uranus
• Saturnian Satellites
• Smallest Circle containing 3 Celestial Bodies
• Solar System Barycenter
• Transformation of Coordinates & Precession
• TransNeptunian Objects
• TransNeptunian Objects(II)
• Years & Months

Calendars

• Cyclical Calendars
• Date of Easter
• Hindu Calendars
• Jewish Pessah
• Julian & Gregorian Calendars
• Other Calendars

Complex & Hypercomplex Numbers

Differentiation & Integration

• Arc Length of a curve
• Carlson Elliptic Integrals
• Bulirsch-Stoer Method
• Complex Derivatives & Riemannian Manifolds
• Curl-Divergence-Gradient-Laplacian
• Differential Geometry
• Differential Geometry(2)
• Diffusion Equation
• Double Exp Integration
• Double Integrals
• Elliptic Integrals
• Euler-Lagrange Equation
• Explicit Runge-Kutta Methods
• Fractional Integro-Differentiation
• Garden-Hose Method
• Gaussian Integration
• Gauss-Kronrod Integration
• Gill-Runge-Kutta Method
• Gravitational n-Body Problem
• Gravitational n-Body Problem(2)
• Implicit Runge-Kutta Methods
• Integral Equations
• Integrals over a Sphere
• Multiple Integrals
• N-th Order Differential Equations
• Numerical Differentiation
• Numerical Differentiation(2)
• Numerical Integration
• Numerov's Method
• Optimal 4th-order Runge-Kutta
• Partial Differential Equations
• Poisson Equation
• Romberg Method
• Runge-Kutta -> Runge-Kutta-Nystrom-General ODEs
• Runge-Kutta formula of order 10
• Runge-Kutta formula of order 10 (2)
• Runge-Kutta-Nystrom formula of order 10
• Runge-Kutta-Nystrom Methods
• Special Runge-Kutta Formulae
• Systems of Differential Equations
• Taylor Series
• Triple Integrals

The Earth

• Anchorage Water-Level
• Bombay Water-Level
• Brest Water-Level
• Courseulles Water-Level
• Geodesics on a Triaxial Ellipsoid
• Geodesics on a Triaxial Ellipsoid(2)
• Geodesics & Loxodromes on a Triaxial Ellipsoid
• Geogravity
• Gravity on a Triaxial Ellipsoid
• Great Elliptic Arc Length
• Harmonic Constituents
• Hong-Kong Water-Level
• Loxodromics
• Positional Fix
• Terrestrial Geodesic Distance
• Terrestrial Geodesic Distance2
• Terrestrial Geodesic Distance3
• Terrestrial Geodesic Distance4
• Tides
• Tides(II)
• Tides(III)

Geometry

• Arc Length of a curve
• Area of a Polygon
• Bisecting Hyperplanes
• Complex Derivatives & Riemannian Manifolds
• Complex Non-Riemannian Manifolds
• Conics
• Curvature Center
• Curvature & Torsion
• Differential Geometry
• Differential Geometry(2)
• Distance Point-Ellipsoid
• Dot & Cross Products
• Ellipse Perimeter
• Ellipsoidal Curvature
• Ellipsoid-Plane Intersection
• Euclidean Distances
• Generalized Euler Angles
• Geodesics on a Triaxial Ellipsoid
• Geodesics & Loxodromes on a Triaxial Ellipsoid
• Geometric Transformations
• Great Elliptic Arc Length
• Heron Formula
• Hyperbolic Tetrahedron
• Hyperbolic Triangles
• Hypersphere
• Hypersurface Area of a Hyperellipsoid
• Quadratic Hypersurface
• Quadrics
• Recreative Problem
• Seifert-Weber Space
• Spheres & Planes
• Spherical Coordinates
• Spherical Triangles
• Surface Area of an Ellipsoid
• Tangent & Normal
• Tetrahedron
• Triangle Solutions
• Volume & Area of a Polyhedron

Matrices

• Determinants
• Eigenvectors & Eigenvalues
• Householder Transformation
• Hypermatrix
• Magic Squares and Cubes
• Matrix Operations
• Matrix
• Matrix Pseudo-Inverse
• M-Code Routines for Matrices
• Quadratic Forms
• Simplex Method
• Triangular Systems

Polynomials & Rational Functions

• Chebyshev Approximation
• Discriminant
• Elementary Symmetric Polynomials
• Factorization over Finite Fields
• Hermite Interpolation
• Lagrange Polynomials
• Least-Squares Polynomials
• Min-Max Polynomials
• Multivariate Polynomials
• Orthogonal Polynomials
• Partial Fraction Expansion
• Polynomials
• Polynomials(II)
• Polynomials(III)
• Polynomials over Z[X]
• Rational Function Interpolation
• Weierstrass-Durand-Kerner Method

Special Functions

• Airy Functions and related Functions
• Anger & Weber Functions
• Associated Legendre Functions
• Bessel Functions
• Clausen's Integrals
• Complex Hypergeometric Functions
• Conical Functions
• Coulomb Wave Functions
• Dawson Integrals
• Debye Functions
• Dilogarithm
• Ellipsoidal Wave Functions
• Error Function
• Exponential Integrals & Related Functions
• Fresnel Integrals
• Gamma, Digamma & Polygamma Functions
• Gamma Functions(2)
• Hyperbolic Functions
• Hypergeometric Functions
• Jacobian Elliptic Functions
• Kelvin Functions
• Kummer's Functions
• Lambert W-Function
• Lerch Transcendent Function
• Lobachevsky Function
• Lommel Functions
• Orthogonal Polynomials
• Parabolic Cylinder Function
• Spheroidal Harmonics
• Struve Functions
• Theta Functions
• Toronto Functions
• Weiersrtass Elliptic Functions
• Whittaker's Functions
• Zeta Function

Spectral Analysis

• Discrete Hartley Transform
• Quaternionic Discrete Fourier Transform
• Spectral Analysis
• Unilateral Z-Transform

Functions of Several Variables

• Appell Functions
• Generalized Horn Functions
• Kampe de Feriet Functions
• Lauricella Functions
• Multidimensional Zeta Functions
• Multivariate Polynomials
• Srivastava's Functions

Statistics

• Gini Coefficient
• Least-Squares Approximation
• Least-Squares Polynomials
• Meteorology & Markov Chains
• Min-Max Line
• Min-Max Polynomials
• Quantiles
• Random Number Generators
• Statistics & Probability

Physics

• Age of the Universe & Redshift -> Distance
• Clebsch-Gordan W3J - W6J -W9J symbols
• Cosmology(II)
• Cyclic Universes
• Cyclic Universes(2)
• Diffusion Equation
• Double Pendulum
• Einstein's Twins Paradox
• Electronic Structure of 118 Atoms
• General Relativity & Cosmology
• Gravitational n-Body Problem
• Gravitational n-Body Problem(2)
• Moments of Inertia
• Poisson Equation
• Special Relativity
• Speed of Light

Games

• American Roulette
• Biorhythms
• Blackjack
• Dice Problem
• Knight's Tour
• Le Compte est bon ! ( a French TV game )
• Magic Multiplication
• Magic Squares and Cubes
• Mastermind
• Mazes
• Morse Code
• N-Queens Problem
• Palindromes
• Poker
• Poker7
• Snakes & Ladders
• Solitaire ( card game )
• Sphynx
• Sudoku
• Texas Hold'em Poker
• Thirty-one ( card game )
• XOR Game
• Yams

Miscellaneous

• 564 Chords
• Astrology
• Big-Ben
• Cryptography
• Data Smoothing
• Divination
• M-Code Routines
• Real Numbers -> Integer Roots
• Roman Numerals
• Short Routines
• Sorting Numbers
• Star Spangled Banner
• Traveling Salesman Problem

Links

[1]   www.hp41.org
[2]   www.hpmuseum.org
[3]   http://namirshammas.com/
[4]   www.hp41.fr
[5]   www.hp41.net
[6]   www.kuiprs.nl/hp41.htm
[7]   www.clonix41.org
[8]   www.systemyde.com/hp41/
[9]   https://albillo.hpcalc.org/
[10] www.cuveesoft.ch

Contact

Jean-Marc Baillard
jmb124 at free dot fr