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The GNU Scientific library (GSL) is a powerful C/C++ numerical library.

This guide assumes you already have a working C/C++ compiler - check by entering gcc --version in Terminal. OSX's default Clang compiler is fine, otherwise this page describes how to install gcc 4.9.

Apparently GSL can be installed through Homebrew via

though installing it manually is just as simple, which we now describe.

If the above gives a "permission denied" error, instead try

You'll now be able to include GSL into your code from anywhere.

You'll now be able to include GSL into your code from anywhere.

In the ARCUS terminal, download GSL anywhere

and unzip it

then open the new folder e.g.

To install without admin permissions, we'll keep the GSL files in a folder called gsl .

Note some newer versions off gcc (e.g. 8) seem incompatible. Use an older version (e.g. gcc/5.3.0) and first call

Replace YOURUSERNAME below with your ARCUS-B username (e.g. abcd1234) and run

We'll need to remember this location when compiling

Compiling GSL with our code is easy; we simply add library flags -lm -lgsl -lgslcblas to our calls to gcc.

For example, we'd adapt the QuEST makefile to include

Exactly as above for OSX.

Before compiling on ARCUS-B, we must extend LD_LIBRARY to include our gsl folder (replace YOURUSERNAME below)

This need only be done once each time we SSH into ARCUS.

Our compilation must additionally include the -lm -lgsl -lgslcblas libraries and flags -I/data/oums-quantopo/YOURUSERNAME/gsl/include and -L/data/oums-quantopo/YOURUSERNAME/gsl/lib.

For example, we'd modify the QuEST makefile to include

and just after that, insert

and modify the rules list

and finally the build commands

See a complete example of my QuEST & gsl makefile here.

The many different GSL functions are available in different source files.

For example, to use the matrix, linear equation solver, and matrix multiplication functionalities, respectively include

View available functions and their necessary header files can be found here.

Sometimes GSL is so powerful, it's confusing to figure out how to do some simple things. So here are some examples

Matrices are dynamic objects, indexed from 0, which must be allocated before, and freed after, their use.

For a vector, replace matrix above with vector.

GSL's matrix operations come under 'Basic Linear Algebra Subprograms' (BLAS), listed here

To multiply matrices matrA and matrB and store the result in matrC (all of which must be previously allocated by gsl_matrix_alloc), call:

In the name gsl_blas_dgemm, the d refers to double-precision matrices, and the final m refers to matrix. The other arguments are explained here.

To multiply a matrix matrA and a vector vecB and store the result in vecC (previously allocated by gsl_matrix_alloc and gsl_vector_alloc), call:

Linear algebra operations are provided by

Here's how to solve A x = b (or matrA vecX = vecB) for x by LU decomposition, which involves creating an intermediate permutation structure

By default, a numerical error (e.g. attempting to invert a non-invertible matrix) will cause an error message and execution to stop. To instead detect and handle numerical errors, include

and call

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1. The scope.
2. Market Research.
3. Creation of a Business Plan.
4. Arrange funds.
5. Understand the Laws and Regulations.
6. Register your business and acquire licenses.
7. Final Arrangements.

St Davids or St David's is a city and a community with a cathedral in Pembrokeshire, Wales, lying on the River Alun It is the resting

It can be used to build information extraction or natural language understanding systems, python -m spacy download en_core_web_sm >>> import spacy>>> nlp

1. Click on 'Accounts' tab.
2. Click on 'Transact' on the left side of the menu.
3. Choose 'Liquidate RD'
4. Select the RD account that you wish to liquidate.
5. Verify the details.
6. Confirm to liquidate.

It protects the owner against legal liability arising from an accident causing any permanent injury or death as well as any damage to the property. It also covers for fire and theft provided the vehicles are laid up in a garage and not in active use.

Details. AIC = - 2*log L + k * edf, where L is the likelihood and edf the equivalent degrees of freedom (i.e., the number of parameters for usual parametric models) of fit . For generalized linear models (i.e., for lm , aov , and glm ), -2log L is the deviance, as computed by deviance(fit) .

Chartres cathedral labyrinth opens for walking every Friday from 10am to 5pm, from Lent (between February 20 and March 20) until All Saints' Day (November 1).