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<html>
<head>
<title>
BLAS1_S - Basic Linear Algebra Subprograms - Level 1 -
Single Precision Real
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">
<h1 align = "center">
BLAS1_S <br>
Basic Linear Algebra Subprograms <br>
Level 1 <br>
Single Precision Real Arithmetic
</h1>
<hr>
<p>
<b>BLAS1_S</b>
is a C++ library which
implements the Level 1 BLAS,
or Basic Linear Algebra Subprograms, using single precision real arithmetic.
</p>
<p>
The BLAS are a small core library of linear algebra utilities,
which can be highly optimized for various architectures. Software
that relies on the BLAS is thus highly portable, and will typically
run very efficiently.
</p>
<p>
The Level 1 BLAS are primarily for use in vector operations.
In certain cases, they may also be used to operate on the rows
or columns of a two-dimensional array.
</p>
<h3 align = "center">
Licensing:
</h3>
<p>
The computer code and data files described and made available on this web page
are distributed under
<a href = "../../txt/gnu_lgpl.txt">the GNU LGPL license.</a>
</p>
<h3 align = "center">
Languages:
</h3>
<p>
<b>BLAS1_S</b> is available in
<a href = "../../c_src/blas1_s/blas1_s.html">a C version</a> and
<a href = "../../cpp_src/blas1_s/blas1_s.html">a C++ version</a> and
<a href = "../../f77_src/blas1_s/blas1_s.html">a FORTRAN77 version</a> and
<a href = "../../f_src/blas1_s/blas1_s.html">a FORTRAN90 version</a> and
<a href = "../../m_src/blas1_s/blas1_s.html">a MATLAB version</a>.
</p>
<h3 align = "center">
Related Data and Programs:
</h3>
<p>
<a href = "../../cpp_src/blas0/blas0.html">
BLAS0</a>,
a C++ library which
contains auxilliary functions for the Basic Linear Algebra Subprograms
(BLAS).
</p>
<p>
<a href = "../../cpp_src/blas1_c/blas1_c.html">
BLAS1_C</a>,
a C++ library which
contains basic linear algebra routines for vector-vector operations,
using single precision complex arithmetic.
</p>
<p>
<a href = "../../cpp_src/blas1_d/blas1_d.html">
BLAS1_D</a>,
a C++ library which
contains basic linear algebra routines for vector-vector operations,
using double precision real arithmetic.
</p>
<p>
<a href = "../../cpp_src/blas1_z/blas1_z.html">
BLAS1_Z</a>,
a C++ library which
contains basic linear algebra routines for vector-vector operations,
using double precision complex arithmetic.
</p>
<p>
<a href = "../../cpp_src/blas2/blas2.html">
BLAS2</a>,
a C++ library which
contains basic linear algebra subprograms (BLAS)
for matrix-vector operations;
</p>
<p>
<a href = "../../cpp_src/blas3/blas3.html">
BLAS3</a>,
a C++ library which
contains basic linear algebra subprograms (BLAS)
for matrix-matrix operations;
</p>
<p>
<a href = "../../cpp_src/gsl/gsl.html">
GSL</a>,
C++ programs which
illustrate the use of the Gnu Scientific Library;
</p>
<p>
<a href = "../../cpp_src/linpack_c/linpack_c.html">
LINPACK_C</a>,
a C++ library which
solves linear systems using single precision complex arithmetic;
</p>
<p>
<a href = "../../c_src/super_blas/super_blas.html">
SUPER_BLAS</a>,
a C library which
implements some of the Basic Linear Algebra Subprograms for fast execution.
</p>
<h3 align = "center">
Author:
</h3>
<p>
Original FORTRAN77 version by Charles Lawson, Richard Hanson, David Kincaid, Fred Krogh.
C++ version by John Burkardt.
</p>
<h3 align = "center">
Reference:
</h3>
<p>
<ol>
<li>
Thomas Coleman, Charles vanLoan,<br>
Handbook for Matrix Computations,<br>
SIAM, 1988,<br>
ISBN13: 978-0-898712-27-8,<br>
LC: QA188.C65.
</li>
<li>
Jack Dongarra, Jim Bunch, Cleve Moler, Pete Stewart,<br>
LINPACK User's Guide,<br>
SIAM, 1979,<br>
ISBN13: 978-0-898711-72-1,<br>
LC: QA214.L56.
</li>
<li>
Charles Lawson, Richard Hanson, David Kincaid, Fred Krogh,<br>
Algorithm 539:
Basic Linear Algebra Subprograms for Fortran Usage,<br>
ACM Transactions on Mathematical Software,<br>
Volume 5, Number 3, September 1979, pages 308-323.
</li>
</ol>
</p>
<h3 align = "center">
Source Code:
</h3>
<p>
<ul>
<li>
<a href = "blas1_s.cpp">blas1_s.cpp</a>,
the level 1 BLAS in single precision real arithmetic.
</li>
<li>
<a href = "blas1_s.hpp">blas1_s.hpp</a>,
an include file for <b>BLAS1_S</b>.
</li>
<li>
<a href = "blas1_s.sh">blas1_s.sh</a>
commands to compile the <b>BLAS1_S</b>.
</li>
</ul>
</p>
<h3 align = "center">
Examples and Tests:
</h3>
<p>
<ul>
<li>
<a href = "blas1_s_prb.cpp">blas1_s_prb.cpp</a>,
the calling program.
</li>
<li>
<a href = "blas1_s_prb.sh">blas1_s_prb.sh</a>
compiles, links and runs the calling program.
</li>
<li>
<a href = "blas1_s_prb_output.txt">blas1_s_prb_output.txt</a>
the output file.
</li>
</ul>
</p>
<h3 align = "center">
List of Routines:
</h3>
<p>
<ul>
<li>
<b>I4_MAX</b> returns the maximum of two integers.
</li>
<li>
<b>I4_MIN</b> returns the smaller of two integers.
</li>
<li>
<b>ISAMAX</b> finds the index of the float vector element of maximum absolute value.
</li>
<li>
<b>LSAME</b> returns TRUE if CA is the same letter as CB regardless of case.
</li>
<li>
<b>R4_ABS</b> returns the absolute value of a float.
</li>
<li>
<b>R4_MAX</b> returns the maximum of two floats.
</li>
<li>
<b>R4_SIGN</b> returns the sign of a float.
</li>
<li>
<b>SASUM</b> takes the sum of the absolute values of a float vector.
</li>
<li>
<b>SAXPY</b> computes float constant times a vector plus a vector.
</li>
<li>
<b>SCOPY</b> copies a float vector X to a vector Y.
</li>
<li>
<b>SDOT</b> forms the dot product of two float vectors.
</li>
<li>
<b>SMACH</b> computes machine parameters of float arithmetic.
</li>
<li>
<b>SNRM2</b> returns the euclidean norm of a float vector.
</li>
<li>
<b>SROT</b> applies a float plane rotation.
</li>
<li>
<b>SROTG</b> constructs a float Givens plane rotation.
</li>
<li>
<b>SSCAL</b> scales a float vector by a constant.
</li>
<li>
<b>SSWAP</b> interchanges two float vectors.
</li>
<li>
<b>XERBLA</b> is an error handler for the LAPACK routines.
</li>
</ul>
</p>
<p>
You can go up one level to <a href = "../cpp_src.html">
the C++ source codes</a>.
</p>
<hr>
<i>
Last revised on 23 June 2009.
</i>
<!-- John Burkardt -->
</body>
</html>