BLAS1_S
Basic Linear Algebra Subprograms
Level 1
Single Precision Real Arithmetic

BLAS1_S, a FORTRAN77 library which constitutes the Level 1 Basic Linear Algebra Subprograms (BLAS), for vector-vector operations using single precision real arithmetic, by Charles Lawson, Richard Hanson, David Kincaid, Fred Krogh.

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.

Licensing:

The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.

Languages:

BLAS1_S is available in a C version and a C++ version and a FORTRAN77 version and a FORTRAN90 version and a MATLAB version.

Related Data and Programs:

BLAS, a FORTRAN77 library which contains the Basic Linear Algebra Subprograms (BLAS) for level 1 (vector-vector operations), level 2 (matrix-vector operations) and level 3 (matrix-matrix operations), for single precision real arithmetic, double precision real arithmetic, single precision complex arithmetic, and double precision complex arithmetic.

BLAS0, a FORTRAN77 library which contains auxilliary functions for the Basic Linear Algebra Subprograms (BLAS).

GSL, a C++ library which includes an implementation of the BLAS1 routines.

LAPACK_EXAMPLES, a FORTRAN77 program which demonstrates the use of the LAPACK linear algebra library.

LINPACK, a FORTRAN77 library which is a linear algebra package which uses the BLAS1 routines.

SUPER_BLAS, a C library which includes some of the BLAS1 routines.

Author:

Original FORTRAN77 version by Charles Lawson, Richard Hanson, David Kincaid, Fred Krogh.

Reference:

1. Thomas Coleman, Charles vanLoan,
   Handbook for Matrix Computations,
   SIAM, 1988,
   ISBN13: 978-0-898712-27-8,
   LC: QA188.C65.
2. Jack Dongarra, Jim Bunch, Cleve Moler, Pete Stewart,
   LINPACK User's Guide,
   SIAM, 1979,
   ISBN13: 978-0-898711-72-1,
   LC: QA214.L56.
3. Charles Lawson, Richard Hanson, David Kincaid, Fred Krogh,
   Algorithm 539: Basic Linear Algebra Subprograms for Fortran Usage,
   ACM Transactions on Mathematical Software,
   Volume 5, Number 3, September 1979, pages 308-323.

Source Code:

• blas1_s.f, the source code;
• blas1_s.sh, commands to compile the source code;

Examples and Tests:

• blas1_s_prb.f, a calling program;
• blas1_s_prb.sh, commands to compile, link, load and run the calling program;
• blas1_s_prb_output.txt, the output file.

List of Routines:

• ISAMAX finds the index of element having maximum absolute value.
• LSAME returns TRUE if CA is the same letter as CB regardless of case.
• SASUM takes the sum of the absolute values.
• SAXPY computes constant times a vector plus a vector.
• SCOPY copies a vector, x, to a vector, y.
• SDOT forms the dot product of two vectors.
• SDSDOT computes the inner product of two vectors with extended precision.
• SMACH computes machine parameters of floating point arithmetic.
• SNRM2 returns the euclidean norm of a real vector.
• SROT applies a plane rotation.
• SROTG constructs a Givens plane rotation.
• SROTM applies a modified Givens transformation matrix.
• SROTMG constructs a modified Givens transformation matrix
• SSCAL scales a vector by a constant.
• SSWAP interchanges two vectors.
• XERBLA is an error handler.

You can go up one level to the FORTRAN77 source codes.