saxpby(3S)
SAXPBY, DAXPBY, CAXPBY, ZAXPBY - Adds a scalar multiple of a Single precision or complex vector x to a scalar multiple of another Single precision or complex vector y
As shipped in IRIX 6.5.15. Added in IRIX 6.5.15.
NAME SAXPBY, DAXPBY, CAXPBY, ZAXPBY - Adds a scalar multiple of a Single precision or complex vector x to a scalar multiple of another Single precision or complex vector y SYNOPSIS Single precision Fortran: CALL SAXPBY (n, alpha, x, incx, beta, y, incy) C/C++: #include <scsl_blas.h> void saxpby( int n, float alpha, float *x, int incx, float beta, float *y, int incy ); Double precision Fortran: CALL DAXPBY (n, alpha, x, incx, beta, y, incy) C/C++: #include <scsl_blas.h> void daxpby( int n, double alpha, double *x, int incx, double beta, double *y, int incy ); Single precision complex Fortran: CALL CAXPBY (n, alpha, x, incx, beta, y, incy) C/C++: #include <scsl_blas.h> void caxpby( int n, scsl_complex *alpha, scsl_complex *x, int incx, scsl_complex *beta, scsl_complex *y, int incy ); C++ STL: #include <complex.h> #include <scsl_blas.h> void caxpby( int n, complex<float> *alpha, complex<float> *x,int incx, complex<float> *beta, complex<float> *y, int incy ); Double precision complex Fortran: CALL ZAXPBY (n, alpha, x, incx, beta, y, incy) C/C++: #include <scsl_blas.h> void zaxpby( int n, scsl_zomplex *alpha, scsl_zomplex *x, int incx, scsl_zomplex *beta, scsl_zomplex *y, int incy ); C++ STL: #include <complex.h> #include <scsl_blas.h> void zaxpby( int n, complex<double> *alpha, complex<double> *x, int incx, complex<double> *beta, complex<double> *y, int incy ); IMPLEMENTATION These routines are part of the SCSL Scientific Library and can be loaded using either the -lscs or the -lscs_mp option. The -lscs_mp option directs the linker to use the multi-processor version of the library. When linking to SCSL with -lscs or -lscs_mp, the default integer size is 4 bytes (32 bits). Another version of SCSL is available in which integers are 8 bytes (64 bits). This version allows the user access to larger memory sizes and helps when porting legacy Cray codes. It can be loaded by using the -lscs_i8 option or the -lscs_i8_mp option. A program may use only one of the two versions; 4-byte integer and 8-byte integer library calls cannot be mixed. The C and C++ prototypes shown above are appropriate for the 4-byte integer version of SCSL. When using the 8-byte integer version, the variables of type int become long long and the <scsl_blas_i8.h> header file should be included. DESCRIPTION SAXPBY/DAXPBY adds a scalar multiple of a real vector x to a scalar multiple of a real vector y. CAXPBY/ZAXPBY adds a scalar multiple of a complex vector x to a scalar multiple of a complex vector y: y <- alpha x + beta y where x and y are n-vectors and alpha and beta are scalars. The following special cases are recognized: * alpha = 0: equivalent to SSCAL, DSCAL, CSCAL, ZSCAL * alpha = 1, beta = 0: equivalent to SCOPY, CCOPY, DCOPY, ZCOPY * alpha not equal to 1, beta = 0: like SCOPY, CCOPY, DCOPY, ZCOPY with scaling * alpha not equal to 0, beta = 1: equivalent to SAXPY, CAXPY, DAXPY, ZAXPY See the NOTES section of this man page for information about the interpretation of the data types described in the following arguments. These routines have the following arguments: n Integer. (input) Number of elements of the vectors x and y. alpha Scalar alpha (input). SAXPBY: Single precision. DAXPBY: Double precision. CAXPBY: Single precision complex. ZAXPBY: Double precision complex. For C/C++, a pointer to this scalar is passed when alpha is complex; otherwise, alpha is passed by value. x Array of dimension (1+(n-1) *|incx|). (input) SAXPBY: Single precision array. DAXPBY: Double precision array. CAXPBY: Single precision omplex array. ZAXPBY: Double precision complex array. The vector x. If incx > 0, the i-th element of the vector x is located in x(1+(i-1) * |incx|). If incx < 0, the i-th element of the vector x is located in x(1+(n-i) * |incx|). incx Integer. (input) Increment between elements of the vector x. If incx < 0, x is processed in reverse order. beta Scalar beta. (input) SAXPBY: Single precision scalar. DAXPBY: Double precision scalar. CAXPBY: Single precision complex scalar. ZAXPBY: Double precision complex scalar. For C/C++, a pointer to this scalar is passed when beta is complex; otherwise, beta is passed by value. y Array of dimension (1+(n-1) * |incy|). (input/output) SAXPBY: Single precision array. DAXPBY: Double precision array. CAXPBY: Single precision complex array. ZAXPBY: Double complex array. On entry, the vector y. If incy > 0, the i-th element of the vector y is located in y(1+(i-1) * |incy|). If incy < 0, the i-th element of the vector y is located in y(1+(n-i) * |incy|). On exit, y is overwritten with the vector sum alphax+ betay. incy Integer. (input) Increment between elements of y. If incy < 0, y is processed in reverse order. NOTES These routines are extensions to the Level 1 Basic Linear Algebra Subprograms (Level 1 BLAS). Data Types The following data types are described in this documentation: Term Used Data type Fortran: Array dimensioned n x(n) Character CHARACTER Integer INTEGER (INTEGER*8 for -lscs_i8[_mp]) Single precision REAL Double precision DOUBLE PRECISION Single precision complex COMPLEX Double precision complex DOUBLE COMPLEX C/C++: Array dimensioned n x[n] Character char Integer int (long long for -lscs_i8[_mp]) Single precision float Double precision double Single precision complex scsl_complex Double precision complex scsl_zomplex C++ STL: Array dimensioned n x[n] Character char Integer int (long long for -lscs_i8[_mp]) Single precision float Double precision double Single precision complex complex<float> Double precision complex complex<double> SEE ALSO INTRO_SCSL(3S), INTRO_BLAS1(3S) INTRO_CBLAS(3S) for information about using the C interface to Fortran 77 Basic Linear Algebra Subprograms (legacy BLAS) set forth by the Basic Linear Algebra Subprograms Technical Forum.