hp41programs


-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

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

-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:

  •  Difference Equations  ( 2012/01/13 )
  •  Diophantine Equations  ( 2012/01/13 )
  •  M-Code Routines for Matrices  ( 2012/01/13 )
  •  Simplex  ( 2012/01/13 )
  •  A few M-Code Routines  ( 2012/01/13 )
  •  Rise Transit Set  ( 2012/01/16 )
  •  Gauss-Kronrod Integration  ( 2012/01/18 )
  •  Gaussian Integration  ( 2012/02/04 )
  •  Binomial & Multinomial Coefficients  ( 2012/02/28 )
  •  Factorials  ( 2012/03/01 )
  •  Apéry Numbers  ( 2012 /03/10 )
  •  Precession  ( 2012/04/04 )
  •  Lagrange Interpolation  ( 2012/05/01 )

 Analytical Methods

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

Arithmetic

  •  Apéry Numbers
  •  Base Conversion
  •  Batrachions
  •  Bell Numbers
  •  Bernoulli Numbers
  •  Binomial & Multinomial Coefficients
  •  Catalan Numbers
  •  Decimals of e
  •  Decimal to Fraction
  •  Diophantine Equations
  •  Euler & Eulerian Numbers
  •  Factorials
  •  Farey Sequences
  •  GCD , LCM , Bezout Identity
  •  Golomb Sequence
  •  Kaprekar Series
  •  Modular Arithmetic
  •  Number of Partitions
  •  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) 
  •  Binary Stars 
  •  Comets
  •  DeltaT
  •  Eclipses
  •  Equinoxes & Solstices
  •  Illuminated Fraction of the Moon's disk
  •  Kepler's Equation
  •  Local Solar Time
  •  Moon's Nodes
  •  Obliquity of the Ecliptic & Nutation
  •  Orbital Elements from an Equinox to another one
  •  Parallax
  •  Phases of the Moon
  •  Planets in Perihelion and Aphelion  
  •  Precession
  •  Refraction
  •  Rise Transit Set
  •  Satellites of Jupiter
  •  Satellites of Jupiter, Saturn & Uranus
  •  Saturnian Satellites
  •  Saturnian & Jovian Satellites
  •  Solar System Barycenter
  •  Transformation of Coordinates & Precession
  •  Years & Months

Calendars

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

Complex & Hypercomplex Numbers

  •  Catalan Quaternions
  •  Complex Functions
  •  Complex Hypergeometric Functions
  •  Lambert-W Function
  •  M-Code Routines for Hypercomplex Numbers
  •  Quaternions
  •  Quaternionic Carlson Elliptic Integral
  •  Quaternionic Discrete Fourier Transform    
  •  Quaternionic Jacobian Elliptic Functions
  •  Quaternionic Linear Systems 
  •  Quaternionic Orthogonal Polynomials
  •  Quaternionic Special Functions
  •  Quaternionic Special Functions(II)
  •  Quaternionic Spheroidal Wave Functions
  •  Quaternionic Weierstrass Elliptic Functions
  •  Sylvester Quaternion Equation 
  •  Systems of Quaternionic Equations

Differentiation & Integration

  •  Bulirsch-Stoer Method
  •  Diffusion Equation
  •  Double Integrals
  •  Explicit Runge-Kutta Methods
  •  Fractional Integro-Differentiation
  •  Gaussian Integration
  •  Gauss-Kronrod Integration
  •  Implicit Runge-Kutta Methods
  •  Multiple Integrals
  •  N-th Order Differential Equations
  •  Numerical Differentiation
  •  Numerical Integration
  •  Numerov's Method
  •  Poisson Equation
  •  Romberg Method
  •  Systems of Differential Equations
  •  Triple Integrals

The Earth

  •  Geodesic Distance
  •  Geogravity
  •  Loxodromics
  •  Positional Fix
  •  Tides
  •  Tides ( more accurate )

Geometry

  •  Area of a Polygon
  •  Conics
  •  Curvature & Torsion
  •  Dot & Cross Products
  •  Euclidean Distances
  •  Generalized Euler Angles
  •  Geometric Transformations
  •  Heron Formula
  •  Hyperbolic Triangles
  •  Hypersphere
  •  Quadratic Hypersurface
  •  Quadrics  
  •  Spheres & Planes
  •  Spherical Coordinates
  •  Spherical Triangles

  •  Surface Area of an Ellipsoid
  •  Tetrahedron Insphere, Circumsphere, Exspheres
  •  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

  •  Elementary Symmetric Polynomials    
  •  Factorization over Finite Fields   
  •  Hermite Interpolation
  •  Lagrange Interpolation & Bivariate Interpolation
  •  Multivariate Polynomials
  •  Orthogonal Polynomials
  •  Partial Fraction Expansion
  •  Polynomials
  •  Polynomials over Z[X]
  •  Rational Function Interpolation

Special Functions

  •  Airy Functions
  •  Anger & Weber Functions
  •  Associated Legendre Functions
  •  Bessel Functions
  •  Clausen's Integrals
  •  Complex Hypergeometric Functions
  •  Coulomb Wave Functions
  •  Dawson Integrals
  •  Debye Functions
  •  Dilogarithm
  •  Error Function
  •  Exponential Integrals & Related Functions
  •  Fresnel Integrals
  •  Gamma, Digamma & Polygamma Functions
  •  Hyperbolic Functions
  •  Hypergeometric Functions
  •  Jacobian Elliptic Functions & Elliptic Integrals
  •  Kelvin Functions
  •  Kummer's Functions
  •  Lambert W-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
  •  Multivariate Polynomials
  •  Srivastava's Functions

Statistics

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

Physics

  •  Clebsch-Gordan W3J - W6J -W9J symbols
  •  Diffusion Equation
  •  Einstein's Twins Paradox
  •  Electronic Structure of 118 Atoms
  •  General Relativity & Cosmology
  •  Gravitational n-Body Problem
  •  Poisson Equation
  •  Special Relativity

Games

  •  American Roulette
  •  Blackjack
  •  Dice Problem
  •  Knight's Tour
  •  Le Compte est bon ! ( a French TV game )
  •  Magic Squares and Cubes
  •  Mastermind
  •  Morse Code
  •  Poker
  •  Snakes & Ladders
  •  Sphynx  
  •  Sudoku
  •  XOR Game

Miscellaneous

  •  564 Chords 
  •  Big-Ben
  •  Cryptography
  •  Data Smoothing
  •  M-Code Routines
  •  Roman Numerals
  •  Short Routines
  •  Sorting Numbers
  •  Star Spangled Banner
 

Links
 

[1]   www.hp41.org
[2]  
www.hpmuseum.org
[3]  
www.hp41.fr
[4]  
www.hp41.net
[5]   www.kuiprs.nl/hp41.htm
[6]   www.clonix41.org

Contact

Jean-Marc Baillard
jmb124 at aliceadsl dot fr 

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