Table of Contents - Ruby/GSL (v1.16.0.4)

Pages

COPYING
- License for Ruby/GSL
ChangeLog
- Fri Dec 19 2014
- Tue Oct 21 2014
- Wed Jul 9 2014
- Thu Apr 24 2014
- Fri Jan 24 2014
- Fri Jan 24 2014
- Sat Feb 26 2011
- Thu Feb 24 2011
- Sun Nov 14 2010
- Wed Sep 29 2010
- Mon Mar 22 2010
- Sun Aug 16 2009
- Sat Aug 8 2009
- Tue Jun 9 2009
- Thu Feb 2 2009
- Thu Nov 6 2008
- Sat Jul 26 2008
- Mon Jun 30 2008
- Mon May 26 2008
- Sat Dec 8 2007
- Tue Dec 2 2007
- Thu Dec 2 2007
- Wed Oct 17 2007
- Sun Oct 7 2007
- Sat Sep 22 2007
- Sat Aug 11 2007
- Sun Aug 5 2007
- Tue May 15 2007
- Sun Feb 18 2007
- Sun Dec 31 2006
- Sun Dec 24 2006
- Wed Dec 13 2006
- Mon Dec 11 2006
- Tue Sep 26 2006
- Sun Sep 24 2006
- Thu Sep 21 2006
- Wed Aug 23 2006
- Fri Aug 18 2006
- Sat Apr 29 2006
- Thu Apr 13 2006
- Fri Dec 2 2005
- Sun Nov 27 2005
- Tue Apr 3 JST 2005
- Wed Apr 27 2005
- Mon Apr 18 2005
- Thu Apr 7 2005
- Mon Mar 21 2005
- Sat Mar 19 2005
- Tue Mar 15 2005
- Sat Mar 12 2005
- Sat Feb 26 2005
- Sat Feb 5 2005
- Wed Jan 26 2005
- Thu Jan 20 2005
- Thu Jan 06 2005
- Tue Jan 04
- Thu Dec 30 2004 Yoshiki Tsunesada
- Mon Dec 27 2004 Yoshiki Tsunesada
- Sat Dec 11 2004 Yoshiki Tsunesada
- Fri Dec 10 2004 Yoshiki Tsunesada
- Mon Dec 6 2004 Yoshiki Tsunesada
- Fri Dec 3 2004 Yoshiki Tsunesada
- Fri Nov 26 2004 Yoshiki Tsunesada
- Tue Nov 16 2004 Yoshiki Tsunesada
- Sun Nov 7 2004 Yoshiki Tsunesada
- Thu Nov 4 2004 Yoshiki Tsunesada
- Sun Oct 31 2004 Yoshiki Tsunesada
- Mon Oct 25 2004 Yoshiki Tsunesada
- Sat Oct 23 2004 Yoshiki Tsunesada
- Tue Oct 19 2004 Yoshiki Tsunesada
- Mon Oct 18 2004 Yoshiki Tsunesada
- Fri Oct 8 2004 Yoshiki Tsunesada
- Thu Oct 7 2004 Yoshiki Tsunesada
- Sat Oct 2 2004 Yoshiki Tsunesada
- Thu Sep 30 2004 Yoshiki Tsunesada
- Fri Sep 24 2004 Yoshiki Tsunesada
- Wed Sep 1 2004 Yoshiki Tsunesada
- Fri Aug 27 2004 Yoshiki Tsunesada
- Thu Aug 19 2004 Yoshiki Tsunesada
- Wed Aug 18 2004
- Tue Aug 17 2004
- Sat Aug 14 2004 Yoshiki Tsunesada
- Wed Aug 11 2004 Yoshiki Tsunesada
- Tue Aug 10 2004 Yoshiki Tsunesada
- Fri Aug 6 2004 Yoshiki Tsunesada
- 4.Aug.2004
- 2.Aug.2004
- 1.Aug.2004
- 30.Jul.2004
- 26.Jul.2004
- 24.Jul.2004
- 22.Jul.2004
- 20.Jul.2004
- 18.Jul.2004
- 17.Jul.2004
- 15.Jul.2004
- 13.Jul.2004
- 11.Jul.2004
- 10.Jul.2004
- 8.Jul.2004
- 7.Jul.2004
- 6.Jul.2004
- 5.Jul.2004
- 30.Jun.2004
- 28.Jun.2004
- 20.Jun.2004
- 19.Jun.2004
- 13.Jun.2004
- 10.Jun.2004
- 09.Jun.2004
- 05.Jun.2004
- 02.Jun.2004
- 25.Apr.2004
- 24.Apr.2004 version 0.3.11
- 22.Apr.2004 version 0.3.10
- 18.Apr.2004, version 0.3.9
- 16.Apr.2004
- 14.Apr.2004, version 0.3.8
- 13.Apr.2004
- 12.Apr.2004, version 0.3.7
- version 0.3.6
- version 0.3.5
- version 0.3.4
- version 0.3.3
- versoin 0.3.2
- version 0.3.1
- version 0.3.0
- 2002 version 0.2.5
README
- Ruby/GSL, a Ruby interface to GSL (GNU Scientific library)
- Description
- Installation
- Reference
- Examples
- Related Projects
- Licence
- Bug Reports
- Links
- Authors
alf
- ALF: a collection of routines for computing associated Legendre polynomials (ALFs)
- Module structure
- Creating ALF workspace
- Methods
blas
- BLAS Support
- Level 1
- Level 2
- Level 3
- Constants
bspline
- Basis Splines
- Overview
- Initializing the B-splines solver
- Constructing the knots vector
- Evaluation of B-splines
changes
- Changes since Ruby/GSL 1.10.3
- Backwards incompatibilities introduced in Ruby/GSL 1.11.2
- Enhancements and features introduced in Ruby/GSL 1.11.2
cheb
- Chebyshev Approximations
- Cheb class
- Chebyshev Series Evaluation
- Derivatives and Integrals
- Example
cholesky_complex
- Cholesky decomposition (>= GSL-1.10)
combi
- Combinations
- Combination allocation
- Methods
- Accessing combination elements
- Combination properties
- Combination functions
- Reading and writing combinations
- Example
complex
- Complex Numbers
- Class Methods
- Properties of complex numbers
- Complex arithmetic operators
- Elementary Complex Functions
- Complex Trigonometric Functions
- Inverse Complex Trigonometric Functions
- Complex Hyperbolic Functions
- Inverse Complex Hyperbolic Functions
const
- Physical Constants
- Fundamental Constants
- Astronomy and Astrophysics
- Atomic and Nuclear Physics
- Measurement of Time
- Imperial Units
- Nautical Units
- Printers Units
- Volume
- Mass and Weight
- Thermal Energy and Power
- Pressure
- Viscosity
- Light and Illumination
- Radioactivity
- Force and Energy
- Prefixes
- Example
dht
- Discrete Hankel Transforms
- Definitions
- Initialization
- Methods
diff
- Numerical Differentiation
- Deriv methods (for GSL 1.4.90 or later)
- Diff Methods (obsolete)
- Example
ehandling
- Error Handling
- Error codes
- Error handler
eigen
- Eigensystems
- Contentes
- Modules and classes
- Real Symmetric Matrices
- Workspace classes
- Methods to solve eigensystems
- Complex Hermitian Matrices
- Real Nonsymmetric Matrices (>= GSL-1.9)
- Real Generalized Symmetric-Definite Eigensystems (GSL-1.10)
- Complex Generalized Hermitian-Definite Eigensystems (>= GSL-1.10)
- Real Generalized Nonsymmetric Eigensystems (>= GSL-1.10)
- Sorting Eigenvalues and Eigenvectors
fft
- Fast Fourier Transforms
- Mathematical Definitions
- Complex data FFTs
- Overview of complex data FFTs
- Radix-2 FFT routines for complex data
- Example of complex Radix-2 FFT
- Mixed-radix FFT routines for complex data
- ComplexWavetable class
- ComplexWorkspace class
- Methods to compute transform
- Example to use the mixed-radix FFT algorithm
- Real data FFTs
- Overview of real data FFTs
- Radix-2 FFT routines for real data
- Mixed-radix FFT routines for real data
- Data storage scheme
- Wavetable and Workspace classes
- Methods for mixed-radix real FFTs
- Examples
- Example 1
- Example 2
fit
- Least-Squares Fitting
- Overview
- Linear regression
- Module functions for linear regression
- Linear fitting without a constant term
- Multi-parameter fitting
- Workspace class
- Module functions
- Higer level interface
- Examples
- Linear regression
- Exponential fitting
- Multi-parameter fitting
function
- GSL::Function class
- Class Methods
- Methods
- Graph
- Example
graph
- Graphics
- Plotting vectors
- Drawing histogram
- Plotting Functions
- Other way
hist
- Histograms
- Histogram allocation
- Copying Histograms
- Updating and accessing histogram elements
- Searching histogram ranges
- Histogram Statistics
- Histogram Operations
- Reading and writing histograms
- Extentions
- Histogram operations
- Graphics
- Fitting
- The histogram probability distribution
- Pdf class
hist2d
- GSL::Histogram2d class
- Class methods
- Methods
- Pdf class
- Example
hist3d
- GSL::Histogram3d class
- Class methods
- Methods
integration
- Numerical Integration
- Introduction
- QNG non-adaptive Gauss-Kronrod integration
- QAG adaptive integration
- Workspace class
- Algorithms which require the workspace
- Methods
- QAGS adaptive integration with singularities
- QAGP adaptive integration with known singular points
- QAGI adaptive integration on infinite intervals
- QAWC adaptive integration for Cauchy principal values
- QAWS adaptive integration for singular functions
- QAWO adaptive integration for oscillatory functions
- QAWF adaptive integration for Fourier integrals
- Gauss-Legendre integration
interp
- Interpolation
- Interpolation Classes
- Initializing interpolation objects
- Index Look-up and Acceleration
- Evaluation of Interpolating Functions
- Higher level interface
- Class initialization
- Evaluation
- Finding and acceleration
intro
- Introduction
- Requirements
- Installation
linalg
- Linear Algebra
- LU Decomposition
- Complex LU decomposition
- QR decomposition
- QR Decomposition with Column Pivoting
- Singular Value Decomposition
- Cholesky Decomposition
- Complex Cholesky decomposition
- Tridiagonal Decomposition of Real Symmetric Matrices
- Tridiagonal Decomposition of Hermitian Matrices
- Hessenberg Decomposition of Real Matrices
- Hessenberg-Triangular Decomposition of Real Matrices
- Bidiagonalization
- Householder Transformations
- Householder solver for linear systems
- Tridiagonal Systems
- Balancing
- NArray
linalg_complex
- Complex LU decomposition
math
- Mathematical Functions
- Mathematical Constants
- Infinities and Not-a-number
- Constants
- Module functions
- Elementary Functions
- Small Integer Powers
- Testing the Sign of Numbers
- Testing for Odd and Even Numbers
- Maximum and Minimum functions
- Approximate Comparison of Floating Point Numbers
- Module Constants
matrix
- Matrices
- Class methods
- NOTE:
- Instance Methods
- Accessing matrix elements
- Initializing matrix elements
- IO
- Matrix views
- Creating row and column views
- Iterators
- Copying matrices
- Copying rows and columns
- Exchanging rows and columns
- Matrix operations
- Finding maximum and minimum elements of matrices
- Matrix properties
- NArray
- Special matrices
min
- One dimensional Minimization
- Introduction
- FMinimizer class
- Iteration
- Stopping Parameters
- Example
monte
- Monte Carlo Integration
- The Function class
- Monte Carlo plans, alrgorithms
- PLAIN Monte Carlo
- Miser
- Vegas
- Integration
- Accessing internal state of the Monte Carlo classes
- Miser Parameters (GSL-1.13 or later)
- Accessors of Miser Params
- Vegas Parameters (GSL-1.13 or later)
- Accessors of Vegas Params
- Example
multimin
- Multidimensional Minimization
- Overview
- Caveats
- Initializing the Multidimensional Minimizer
- Providing a function to minimize
- Iteration
- Stopping Criteria
- Examples
- FdfMinimizer
- FMinimizer
multiroot
- Multidimensional Root-Finding
- Overview
- Initializing the Solver
- Providing the function to solve
- Iteration
- Search Stopping Parameters
- Higher Level Interface
- Example
- FSolver
- FdfSolver
narray
- NArray compatibilities
- Contents:
- Data type conversions
- GSL to NArray
- NArray to GSL
- Methods which accepts NArray
- GSL module
- Sf module
- Linalg module
- Eigen module
- FFT module
- Function class
- Ran and Cdf module
- Stats module
- Interp and Spline class
- Deriv and Diff module
- Cheb class
- Wavelet class
ndlinear
- NDLINAR: multi-linear, multi-parameter least squares fitting
- Introduction
- Class and Methods
- Examples
nonlinearfit
- Nonlinear Least-Squares Fitting
- Overview
- Initializing the Solver
- FdfSolver class
- Providing the function to be minimized
- Function_fdf class
- Iteration
- Search Stopping Parameters
- Computing the covariance matrix of best fit parameters
- Higher level interfaces
- Examples
- Fitting to user-defined functions
- Fitting to built-in functions
ntuple
- N-tuples
- The Ntuple class
- Writing and reading ntuples
- Histogramming ntuple values
odeiv
- Ordinary Differential Equations
- Classes for ODE solver
- Class Descriptions
- System
- Step
- Control
- Evolve
- Solver
- Example
perm
- Permutations
- Permuation allocations
- Methods
- Accessing permutation elements
- Permutation properties
- Permutation functions
- Reading and writing permutations
- Permutations in cyclic Form
- Applying Permutations
poly
- Polynomials
- Polynomial Evaluation
- Solving polynomial equations
- Quadratic Equations
- Cubic Equations
- General Polynomial Equations
- Poly class
- Constructors
- Instance Methods
- Polynomial fitting
- Divided-difference representations
- Extensions
- Special Polynomials
- Polynomial Operations
qrng
- Quasi-Random Sequences
- Quasi-random number generator initialization
- Sampling from a quasi-random number generator
- Auxiliary quasi-random number generator functions
- Saving and resorting quasi-random number generator state
- Quasi-random number generator algorithms
randist
- Random Number Distributions
- Introduction
- The Gaussian Distribution
- The Gaussian Tail Distribution
- The Bivariate Gaussian Distribution
- The Exponential Distribution
- The Laplace Distribution
- Shuffling and Sampling
ref
- Ruby/GSL Reference
- Front Matter
- Copyright of the GSL Reference
- Copyright of this reference
- Ruby/GSL Reference
rng
- Random Number Generation
- General comments on random numbers
- The Random Number Generator Interface
- Random number generator initialization
- Sampling from a random number generator
- Auxiliary random number generator functions
- Random number environment variables
roots
- One dimensional root-finding and the solver classes
- Solver classes
- Methods
- Methods to solve equations
- Function_fdf class
- Search Stopping Parameters
- High-level interface
- Example
sf
- Special Functions
- Contents:
- Usage
- Result class
- Result instance methods
- Modes
- Airy Functions and Derivatives
- Derivatives of Airy Functions
- Zeros of Airy Functions
- Zeros of Derivatives of Airy Functions
- Bessel Functions
- Regular Cylindrical Bessel Functions
- Irregular Cylindrical Bessel Functions
- Regular Modified Cylindrical Bessel Functions
- Irregular Modified Cylindrical Bessel Functions
- Regular Spherical Bessel Functions
- Irregular Spherical Bessel Functions
- Regular Modified Spherical Bessel Functions
- Irregular Modified Spherical Bessel Functions
- Regular Bessel Function - Fractional Order
- Irregular Bessel Functions - Fractional Order
- Regular Modified Bessel Functions - Fractional Order
- Irregular Modified Bessel Functions - Fractional Order
- Zeros of Regular Bessel Functions
- Clausen Functions
- Coulomb Functions
- Coulomb Wave Functions
- Coulomb Wave Function Normalization Constant
- Coupling Coefficients
- Dawson Function
- Debye Functions
- Dilogarithm
- Real Argument
- Complex Argument
- Elementary Operations
- Elliptic Integrals
- Legendre Form of Complete Elliptic Integrals
- Legendre Form of Incomplete Elliptic Integrals
- Carlson Forms
- Elliptic Functions (Jacobi)
- Error Functions
- Probability functions
- Exponential Functions
- Relative Exponential Functions
- Exponentiation With Error Estimate
- Exponential Integrals
- Exponential Integral
- Ei(x)
- Hyperbolic Integrals
- Ei_3(x)
- Trigonometric Integrals
- Arctangent Integral
- Fermi-Dirac Functions
- Complete Fermi-Dirac Integrals
- Incomplete Fermi-Dirac Integrals
- Gamma Function
- Gegenbauer Functions
- Hypergeometric Functions
- Laguerre Functions
- Lambert W Functions
- Legendre Functions and Spherical Harmonics
- Legendre Polynomials
- Associated Legendre Polynomials and Spherical Harmonics
- Conical Functions
- Radial Functions for Hyperbolic Space
- Logarithm and Related Functions
- Mathieu functions
- Mathieu Function Workspace
- Mathieu Function Characteristic Values
- Angular Mathieu Functions
- Radial Mathieu Functions
- Power Functions
- Psi (Digamma) Function
- Digamma Function
- Trigamma Function
- Polygamma Function
- Synchrotron Functions
- Transport Functions
- Trigonometric Functions
- Circular Trigonometric Functions
- Trigonometric Functions for Complex Arguments
- Hyperbolic Trigonometric Functions
- Conversion Functions
- Restriction Functions
- Trigonometric Functions With Error Estimates
- Zeta Functions
- Riemann Zeta Function
- Riemann Zeta Function Minus One
- Hurwitz Zeta Function
- Eta Function
siman
- Simulated Annealing
- Library
- Module and classes
- Siman Module
- Singleton method
- Example
sort
- Sorting
- Heapsort
- Sorting vectors
- Selecting the k smallest or largest elements
start
- Getting started
stats
- Statistics
- Mean, Standard Deviation and Variance
- Absolute deviation
- Higher moments (skewness and kurtosis)
- Autocorrelation
- Covariance
- Correlation
- Weighted samples
- Maximum and Minimum values
- Median and Percentiles
- Example
sum
- Series Acceleration
- Modules and classes
- Methods
tensor
- Tensor manipulations
- Class methods
- Instance methods
- Accessing tensor elements
- IO
- Max, min
- Tensor operations
- Tensor properties
tut
- Ruby/GSL Tutorial
use
- Using Ruby/GSL
- Installation
- Load the library
- Naming conventions, C Structs and Ruby Classes
- Examples
- Modules and Classes
vector
- GSL::Vector class
- Class methods
- NArray Extension
- NOTE:
- Methods
- Accessing vector elements
- Initializing vector elements
- Iterators
- IO
- Copying vectors
- Vector views
- Vector operations
- Vector operations with size changes
- Finding maximum and minimum elements of vectors
- Vector Properties
- Element-wise vector comparison
- Histogram
- Sorting
- BLAS Methods
- Data type conversions
- NArray conversions
- Graphics
vector_complex
- GSL::Vector::Complex
- Class methods
- Instance methods
- Accessing vector elements
- Initializing vector elements
- Vector Properties
- Iterators
- Reordering Elements
- Arithmetic
- Reading and writing vectors
- Functions
- Statistics
- Data Conversions
wavelet
- Discrete Wavelet Transforms
- Definitions
- Initialization
- Transform Methods
- Wavelet transforms in one dimension
- Wavelet transforms in two dimension
- Example

Classes and Modules

Methods

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