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Viewing changes to Quasi_002drandom-number-generator-examples.html

Committer: Bazaar Package Importer
Author(s): Dirk Eddelbuettel
Date: 2006-04-12 19:46:32 UTC
mfrom: (1.3.1 upstream) (3.1.1 dapper)
Revision ID: james.westby@ubuntu.com-20060412194632-c9lodpl075pv9si3

Tags: 1.8-1

* New upstream release 1.8
* As with previous releases, the sources were obtained from the FSF web
pages by means of a wget call (c.f. the debian/rules target 'upstream')

* debian/control: Standards-Version increased to 3.6.2
* debian/copyright: Updated FSF address
* debian/rules: Set DH_COMPAT=4

files added:
2D-Histogram-Operations.html

2D-Histogram-Statistics.html

2D-Histogram-allocation.html

3_002dj-Symbols.html

6_002dj-Symbols.html

9_002dj-Symbols.html

ANSI-C-Compliance.html

Absolute-deviation.html

Acceleration-functions-without-error-estimation.html

Acceleration-functions.html

Accessing-combination-elements.html

Accessing-matrix-elements.html

Accessing-permutation-elements.html

Accessing-vector-elements.html

Adaptive-Step_002dsize-Control.html

Airy-Functions-and-Derivatives.html

Airy-Functions.html

Algorithms-using-Derivatives.html

Algorithms-without-Derivatives.html

Aliasing-of-arrays.html

Alternative-optimized-functions.html

An-Example-Program.html

Applying-Permutations.html

Approximate-Comparison-of-Floating-Point-Numbers.html

Arctangent-Integral.html

Associated-Legendre-Polynomials-and-Spherical-Harmonics.html

Astronomy-and-Astrophysics.html

Atomic-and-Nuclear-Physics.html

Autoconf-Macros.html

Autocorrelation.html

Auxiliary-quasi_002drandom-number-generator-functions.html

Auxiliary-random-number-generator-functions.html

BLAS-Examples.html

BLAS-References-and-Further-Reading.html

BLAS-Support.html

Bessel-Functions.html

Beta-Functions.html

Bidiagonalization.html

Block-allocation.html

Blocks.html

Carlson-Forms.html

Chebyshev-Approximation-References-and-Further-Reading.html

Chebyshev-Approximation-examples.html

Chebyshev-Approximations.html

Chebyshev-Definitions.html

Chebyshev-Series-Evaluation.html

Cholesky-Decomposition.html

Circular-Trigonometric-Functions.html

Clausen-Functions.html

Closing-an-ntuple-file.html

Code-Reuse.html

Combination-Examples.html

Combination-References-and-Further-Reading.html

Combination-allocation.html

Combination-functions.html

Combination-properties.html

Combinations.html

Compatibility-with-C_002b_002b.html

Compiling-and-Linking.html

Complementary-Error-Function.html

Complete-Fermi_002dDirac-Integrals.html

Complex-Argument.html

Complex-Hermitian-Matrices.html

Complex-Hyperbolic-Functions.html

Complex-Number-References-and-Further-Reading.html

Complex-Numbers.html

Complex-Trigonometric-Functions.html

Complex-arithmetic-operators.html

Complex-numbers.html

Computing-the-covariance-matrix-of-best-fit-parameters.html

Computing-the-rank.html

Concept-Index.html

Conical-Functions.html

Contributors-to-GSL.html

Conventions-used-in-this-manual.html

Conversion-Functions.html

Copying-2D-Histograms.html

Copying-Histograms.html

Copying-matrices.html

Copying-random-number-generator-state.html

Copying-rows-and-columns.html

Copying-vectors.html

Coulomb-Functions.html

Coulomb-Wave-Function-Normalization-Constant.html

Coulomb-Wave-Functions.html

Coupling-Coefficients.html

Covariance.html

Creating-ntuples.html

Creating-row-and-column-views.html

Creation-and-Calculation-of-Chebyshev-Series.html

Cubic-Equations.html

DWT-Definitions.html

DWT-Examples.html

DWT-Initialization.html

DWT-References.html

DWT-Transform-Functions.html

DWT-in-one-dimension.html

DWT-in-two-dimension.html

Data-types.html

Dawson-Function.html

Debugging-Numerical-Programs.html

Debugging-References.html

Debye-Functions.html

Defining-the-ODE-System.html

Definition-of-Carlson-Forms.html

Definition-of-Legendre-Forms.html

Deprecated-Functions.html

Derivatives-and-Integrals.html

Derivatives-of-Airy-Functions.html

Digamma-Function.html

Dilogarithm.html

Discrete-Hankel-Transform-Definition.html

Discrete-Hankel-Transform-Functions.html

Discrete-Hankel-Transform-References.html

Discrete-Hankel-Transforms.html

Divided-Difference-Representation-of-Polynomials.html

Ei_0028x_0029.html

Ei_005f3_0028x_0029.html

Eigensystems.html

Eigenvalue-and-Eigenvector-Examples.html

Eigenvalue-and-Eigenvector-References.html

Elementary-Complex-Functions.html

Elementary-Functions.html

Elementary-Operations.html

Elliptic-Functions-_0028Jacobi_0029.html

Elliptic-Integrals.html

Error-Codes.html

Error-Function.html

Error-Functions.html

Error-Handlers.html

Error-Handling.html

Error-Reporting-Examples.html

Error-Reporting.html

Eta-Function.html

Evaluation-of-Interpolating-Functions.html

Evolution.html

Examining-floating-point-registers.html

Example-ntuple-programs.html

Example-of-accelerating-a-series.html

Example-programs-for-2D-histograms.html

Example-programs-for-Multidimensional-Root-finding.html

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Example-programs-for-blocks.html

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Example-programs-for-vectors.html

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Examples-with-Simulated-Annealing.html

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Exponential-Functions.html

Exponential-Integral.html

Exponential-Integrals.html

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FFT-References-and-Further-Reading.html

Factorials.html

Fast-Fourier-Transforms.html

Fermi_002dDirac-Function.html

Finding-maximum-and-minimum-elements-of-matrices.html

Finding-maximum-and-minimum-elements-of-vectors.html

Fitting-Examples.html

Fitting-Overview.html

Fitting-References-and-Further-Reading.html

Force-and-Energy.html

Free-Software-Needs-Free-Documentation.html

Function-Index.html

Fundamental-Constants.html

Further-Information.html

GCC-warning-options-for-numerical-programs.html

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GSL-CBLAS-Examples.html

GSL-CBLAS-Library.html

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Gamma-and-Beta-Functions.html

Gegenbauer-Functions.html

General-Discrete-Distributions.html

General-Polynomial-Equations.html

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Handling-floating-point-exceptions.html

Higher-moments-_0028skewness-and-kurtosis_0029.html

Higher_002dlevel-Interface.html

Histogram-Operations.html

Histogram-Statistics.html

Histogram-allocation.html

Histogramming-ntuple-values.html

Histograms.html

Householder-Transformations.html

Householder-solver-for-linear-systems.html

Hurwitz-Zeta-Function.html

Hyperbolic-Integrals.html

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Hypergeometric-Functions.html

IEEE-References-and-Further-Reading.html

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Imperial-Units.html

Incomplete-Beta-Function.html

Incomplete-Fermi_002dDirac-Integrals.html

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Interpolation-Functions.html

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Introduction.html

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Irregular-Cylindrical-Bessel-Functions.html

Irregular-Modified-Bessel-Functions-_002d-Fractional-Order.html

Irregular-Modified-Cylindrical-Bessel-Functions.html

Irregular-Modified-Spherical-Bessel-Functions.html

Irregular-Spherical-Bessel-Functions.html

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Iteration-of-the-multidimensional-solver.html

LU-Decomposition.html

Laguerre-Functions.html

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Least_002dSquares-Fitting.html

Legendre-Form-of-Complete-Elliptic-Integrals.html

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Legendre-Functions-and-Spherical-Harmonics.html

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Logarithm-and-Related-Functions.html

Long-double.html

MISER.html

Mass-and-Weight.html

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Mathematical-Functions.html

Matrices.html

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Matrix-operations.html

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Maximum-and-Minimum-functions.html

Maximum-and-Minimum-values.html

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Measurement-of-Time.html

Median-and-Percentiles.html

Minimization-Algorithms-using-Derivatives.html

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Multidimensional-Minimization.html

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Multimin-Caveats.html

Multimin-Examples.html

Multimin-Iteration.html

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N_002dtuples.html

No-Warranty.html

Nonlinear-Least_002dSquares-Fitting.html

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Numerical-Differentiation-References.html

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Numerical-Differentiation.html

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Numerical-Integration.html

Numerical-integration-References-and-Further-Reading.html

Numerical-integration-error-codes.html

Numerical-integration-examples.html

ODE-Example-programs.html

ODE-References-and-Further-Reading.html

Obtaining-GSL.html

One-dimensional-Minimization.html

One-dimensional-Root_002dFinding.html

Opening-an-existing-ntuple-file.html

Ordinary-Differential-Equations.html

Other-random-number-generators.html

Overview-of-Multidimensional-Root-Finding.html

Overview-of-Nonlinear-Least_002dSquares-Fitting.html

Overview-of-complex-data-FFTs.html

Overview-of-real-data-FFTs.html

PLAIN-Monte-Carlo.html

Permutation-Examples.html

Permutation-References-and-Further-Reading.html

Permutation-allocation.html

Permutation-functions.html

Permutation-properties.html

Permutations-in-cyclic-form.html

Permutations.html

Physical-Constant-Examples.html

Physical-Constant-References-and-Further-Reading.html

Physical-Constants.html

Pochhammer-Symbol.html

Polygamma-Function.html

Polynomial-Evaluation.html

Polynomials.html

Portability-functions.html

Power-Function.html

Prefixes.html

Pressure.html

Printers-Units.html

Probability-functions.html

Properties-of-complex-numbers.html

Providing-a-function-to-minimize.html

Providing-the-Function-to-be-Minimized.html

Providing-the-function-to-minimize.html

Providing-the-function-to-solve.html

Providing-the-multidimensional-system-of-equations-to-solve.html

Psi-_0028Digamma_0029-Function.html

QAG-adaptive-integration.html

QAGI-adaptive-integration-on-infinite-intervals.html

QAGP-adaptive-integration-with-known-singular-points.html

QAGS-adaptive-integration-with-singularities.html

QAWC-adaptive-integration-for-Cauchy-principal-values.html

QAWF-adaptive-integration-for-Fourier-integrals.html

QAWO-adaptive-integration-for-oscillatory-functions.html

QAWS-adaptive-integration-for-singular-functions.html

QNG-non_002dadaptive-Gauss_002dKronrod-integration.html

QR-Decomposition-with-Column-Pivoting.html

QR-Decomposition.html

Quadratic-Equations.html

Quasi_002dRandom-Sequences.html

Quasi_002drandom-number-generator-algorithms.html

Quasi_002drandom-number-generator-examples.html

Quasi_002drandom-number-generator-initialization.html

Quasi_002drandom-number-references.html

Radial-Functions-for-Hyperbolic-Space.html

Radioactivity.html

Radix_002d2-FFT-routines-for-complex-data.html

Radix_002d2-FFT-routines-for-real-data.html

Random-Number-Acknowledgements.html

Random-Number-Distribution-Examples.html

Random-Number-Distribution-Introduction.html

Random-Number-Distribution-References-and-Further-Reading.html

Random-Number-Distributions.html

Random-Number-Generation.html

Random-Number-Generator-Examples.html

Random-Number-Generator-Performance.html

Random-Number-References-and-Further-Reading.html

Random-number-environment-variables.html

Random-number-generator-algorithms.html

Random-number-generator-initialization.html

Reading-and-writing-2D-histograms.html

Reading-and-writing-blocks.html

Reading-and-writing-combinations.html

Reading-and-writing-histograms.html

Reading-and-writing-matrices.html

Reading-and-writing-permutations.html

Reading-and-writing-random-number-generator-state.html

Reading-and-writing-vectors.html

Reading-ntuples.html

Real-Argument.html

Real-Symmetric-Matrices.html

References-and-Further-Reading-for-Multidimensional-Root-Finding.html

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Regular-Bessel-Function-_002d-Fractional-Order.html

Regular-Cylindrical-Bessel-Functions.html

Regular-Modified-Bessel-Functions-_002d-Fractional-Order.html

Regular-Modified-Cylindrical-Bessel-Functions.html

Regular-Modified-Spherical-Bessel-Functions.html

Regular-Spherical-Bessel-Functions.html

Relative-Exponential-Functions.html

Reporting-Bugs.html

Representation-of-floating-point-numbers.html

Resampling-from-2D-histograms.html

Resampling-from-histograms.html

Restriction-Functions.html

Riemann-Zeta-Function-Minus-One.html

Riemann-Zeta-Function.html

Root-Bracketing-Algorithms.html

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Root-Finding-Caveats.html

Root-Finding-Examples.html

Root-Finding-Iteration.html

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Root-Finding-References-and-Further-Reading.html

Roots-of-Polynomials-Examples.html

Roots-of-Polynomials-References-and-Further-Reading.html

Routines-available-in-GSL.html

Sampling-from-a-quasi_002drandom-number-generator.html

Sampling-from-a-random-number-generator.html

Saving-and-resorting-quasi_002drandom-number-generator-state.html

Search-Bounds-and-Guesses.html

Search-Stopping-Parameters-for-Minimization-Algorithms.html

Search-Stopping-Parameters-for-the-multidimensional-solver.html

Search-Stopping-Parameters.html

Searching-2D-histogram-ranges.html

Searching-histogram-ranges.html

Selecting-the-k-smallest-or-largest-elements.html

Series-Acceleration-References.html

Series-Acceleration.html

Setting-up-your-IEEE-environment.html

Shared-Libraries.html

Shuffling-and-Sampling.html

Simulated-Annealing-References-and-Further-Reading.html

Simulated-Annealing-algorithm.html

Simulated-Annealing-functions.html

Simulated-Annealing.html

Singular-Value-Decomposition.html

Small-integer-powers.html

Sorting-Eigenvalues-and-Eigenvectors.html

Sorting-Examples.html

Sorting-References-and-Further-Reading.html

Sorting-objects.html

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Sorting.html

Special-Function-Modes.html

Special-Function-Usage.html

Special-Functions-Examples.html

Special-Functions-References-and-Further-Reading.html

Special-Functions.html

Speed-and-Nautical-Units.html

Spherical-Vector-Distributions.html

Statistics-References-and-Further-Reading.html

Statistics.html

Stepping-Functions.html

Support-for-different-numeric-types.html

Synchrotron-Functions.html

Testing-for-Odd-and-Even-Numbers.html

Testing-the-Sign-of-Numbers.html

The-2D-histogram-struct.html

The-Bernoulli-Distribution.html

The-Beta-Distribution.html

The-Binomial-Distribution.html

The-Bivariate-Gaussian-Distribution.html

The-Cauchy-Distribution.html

The-Chi_002dsquared-Distribution.html

The-Combination-struct.html

The-Dirichlet-Distribution.html

The-Exponential-Distribution.html

The-Exponential-Power-Distribution.html

The-F_002ddistribution.html

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Traveling-Salesman-Problem.html

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Tridiagonal-Decomposition-of-Real-Symmetric-Matrices.html

Tridiagonal-Systems.html

Trigamma-Function.html

Trigonometric-Functions-With-Error-Estimates.html

Trigonometric-Functions-for-Complex-Arguments.html

Trigonometric-Functions.html

Trigonometric-Integrals.html

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Two-dimensional-histograms.html

Type-Index.html

Unix-random-number-generators.html

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Using-gdb.html

Using-the-library.html

VEGAS.html

Variable-Index.html

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Vector-and-Matrix-References-and-Further-Reading.html

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Vectors-and-Matrices.html

Vectors.html

Viscosity.html

Volume-Area-and-Length.html

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Weighted-Samples.html

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Quasi_002drandom-number-generator-examples.html

<head>

<title>Quasi-random number generator examples - GNU Scientific Library -- Reference Manual</title>

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<p>

Next: <a rel="next" accesskey="n" href="Quasi_002drandom-number-references.html#Quasi_002drandom-number-references">Quasi-random number references</a>,

Previous: <a rel="previous" accesskey="p" href="Quasi_002drandom-number-generator-algorithms.html#Quasi_002drandom-number-generator-algorithms">Quasi-random number generator algorithms</a>,

Up: <a rel="up" accesskey="u" href="Quasi_002dRandom-Sequences.html#Quasi_002dRandom-Sequences">Quasi-Random Sequences</a>

<hr>

</div>

<h3 class="section">18.6 Examples</h3>

<p>The following program prints the first 1024 points of the 2-dimensional

Sobol sequence.

<pre class="example"><pre class="verbatim"> #include <stdio.h>

#include <gsl/gsl_qrng.h>

int

main (void)

{

int i;

gsl_qrng * q = gsl_qrng_alloc (gsl_qrng_sobol, 2);

for (i = 0; i < 1024; i++)

{

double v[2];

gsl_qrng_get (q, v);

printf ("%.5f %.5f\n", v[0], v[1]);

}

gsl_qrng_free (q);

return 0;

}

</pre></pre>

<p class="noindent">Here is the output from the program,

<pre class="example"> $ ./a.out

0.50000 0.50000

0.75000 0.25000

0.25000 0.75000

0.37500 0.37500

0.87500 0.87500

0.62500 0.12500

0.12500 0.62500

....

</pre>

<p class="noindent">It can be seen that successive points progressively fill-in the spaces

between previous points.

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