BLAS1_C
Basic Linear Algebra Subprograms
Level 1
Single Precision Complex Arithmetic

BLAS1_C is a C++ library which implements the Level 1 BLAS, or Basic Linear Algebra Subprograms, using single precision complex arithmetic.

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.

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.

On the SGI, a precompiled optimized BLAS library may be linked to via a command like:

g++ myprog.C -lblas

On the Compaq ALPHA, a precompiled optimized BLAS library is available in CXML, the "Compaq Extended Math Library". A C++ program can link with the CXML library, but the CXML routine names must have an underscore appended to them, and they must be declared as extern "C" to avoid the dreaded C++ name-mangling. The linking command would be something like:

g++ myprog.C -lcxml

Related Data and Programs:

BLAS1_C is also available in a FORTRAN77 version and a FORTRAN90 version and a MATLAB version.

BLAS1_D is a C++ library of routines which is a version of BLAS1 for double precision real arithmetic.

BLAS1_S is a C++ library of routines which is a version of BLAS1 for single precision real arithmetic.

BLAS1_Z is a C++ library of routines which is a version of BLAS1 for double precision complex arithmetic.

BLAS2 is a FORTRAN90 library of routines which is the Level 2 BLAS, for matrix-vector operations.

BLAS3 is a FORTRAN90 library of routines which is the Level 3 BLAS, for matrix-matrix operations.

GSL is the Gnu Scientific Library which includes an implementation of the BLAS1 routines.

LAPACK is a FORTRAN90 library of routines which is a linear algebra package that uses BLAS1 routines

LINPACK is a C++ library of routines which is a linear algebra library that uses the BLAS1 routines

SUPER_BLAS is a C library of routines which is a version of some of the BLAS1 routines written in C.

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_c.C, the source code.
• blas1_c.H, the include file.
• blas1_c.csh commands to compile the source code.

Examples and Tests:

• blas1_c_prb.C, the calling program.
• blas1_c_prb.csh compiles, links and runs the calling program.
• blas1_c_prb.out the resulting output file.

List of Routines:

• CABS1 returns the L1 norm of a complex number.
• CABS2 returns the L2 norm of a complex number.
• CAXPY computes a complex constant times a vector plus a vector.
• CCOPY copies a complex vector X to a vector Y.
• CDOTC forms the conjugated dot product of two complex vectors.
• CDOTU forms the unconjugated dot product of two complex vectors.
• CMACH computes machine parameters for complex arithmetic.
• CROTG determines a complex Givens rotation.
• CSCAL scales a complex vector by a constant.
• CSIGN1 is a complex transfer-of-sign function.
• CSIGN2 is a complex transfer-of-sign function.
• CSROT applies a complex plane rotation.
• CSSCAL scales a complex vector by a real constant.
• CSWAP interchanges two complex vectors.
• I4_MAX returns the maximum of two integers.
• I4_MIN returns the smaller of two integers.
• ICAMAX indexes the complex vector element of maximum absolute value.
• LSAME returns TRUE if CA is the same letter as CB regardless of case.
• R4_ABS returns the absolute value of a float.
• R4_SIGN returns the sign of a float.
• SCASUM takes the sum of the absolute values of a complex vector.
• SCNRM2 returns the euclidean norm of a complex vector.
• XERBLA is an error handler for the LAPACK routines.

You can go up one level to the C++ source codes.