Welcome to GSL shell documentation

GSL shell is an interactive command line interface that provides easy access to the GNU Scientific Library (GSL) collection of mathematical methods for numerical computations.

GSL shell can be used interactively to perform calculations with matrices or vectors but it also allows for complex user-defined functions with the Lua scripting interpreter.

Lua is a very interesting and easy to learn scripting language that features advanced functionalities like closures and metamethods. Lua is very easy to learn and will give you the power of defining your own complex routines to use the GSL library more effectively.

GSL Shell github project.

Contents:

• GSL Shell introduction
  • First steps
  • An Example
• General Purpose Functions
  • Overview
• Projects Utility Functions
  • run()
  • activate()
• Filesystem Functions
  • Overview
• Complex Numbers
  • Complex Functions
• Matrices
  • Overview
  • Accessing Matrix Elements
  • Matrix methods
  • Matrix Functions
• General Data Tables
  • Overview
  • GDT Functions
  • GDT Methods
  • GDT Plots
  • Histogram plots
  • Plotting options
  • GDT Linear Model
• Iterators
  • sequence()
  • sample()
  • isample()
  • ilist()
  • isum()
  • More complex iterators
• Linear Algebra
  • Functions
• Eigensystems
  • Real Symmetric Matrices
  • Real Nonsymmetric Matrices
  • Complex Hermitian Matrices
  • Real Generalized Symmetric-Definite Eigensystems
  • Complex Generalized Hermitian-Definite Eigensystems
  • Real Generalized Nonsymmetric Eigensystems
• Random Numbers
  • General comments on random numbers
  • The Random Number Generator Interface
  • Examples
  • Random Number Generator Algorithms
• Random Number Distributions
  • gaussian()
  • exponential()
  • chisq()
  • laplace()
  • tdist()
  • cauchy()
  • rayleigh()
  • fdist()
  • gamma()
  • beta()
  • gaussian_tail()
  • exppow()
  • lognormal()
  • binomial()
  • poisson()
• Probability Distribution Functions
  • Naming Conventions
  • Functions Index
• Linear Least Squares fit
  • Overview
  • Linear Fit Functions
  • Complete Example
• Nonlinear Least Squares fit
  • Overview
  • Performing a non-linear fit
  • Solver class definition
• Basis Splines
  • Overview
  • B-Splines functions
  • B-splines Example
• Fast Fourier Transform
  • Mathematical Definitions
  • GSL Shell interface
  • Fourier Transform of Real Data
  • FFT example
• Ordinary Differential Equations
  • Overview
  • Creating a ODE system solver
  • ODE solver usage example
  • A Slightly Improved Example
  • ODE value logger
  • ODE Solver Class Definition
• Numerical Integration
  • Introduction
  • Functions
  • Usage Example
• Special functions
  • Overview
• Monte Carlo Integration
  • Introduction
  • Errors and consistency
  • Functions
  • Usage example
• Graphics
  • Overview
  • A First Example
  • Graphics Functions
  • Multiple plot window
  • Window class
  • Graphics primitives
  • Plot
  • Graphical Objects
  • Graphical transformations
• 3D Plotting
  • Overview
  • 3D Function Plot
  • Parametric Surface Plot
• Contour Plots
  • Overview
• Comma Separated Values Parsing Utilities
  • read()
  • line()
• Records
  • Overview
  • Record class
• 2D Interpolation
  • Overview
  • 2D Interpolation class
• GSL Shell Examples
  • Home-made Bessel Functions
  • The Von-Koch curve
  • Reading and plotting data from files
  • Zernike Polynomials
• GSL FFI interface
  • Introduction
  • GSL FFI interface
  • GSL FFI examples