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SHAD(3S)							      SHAD(3S)

NAME
     SHAD, DHAD, CHAD, ZHAD - Computes the Hadamard product of two vectors

SYNOPSIS
     Single precision

	  Fortran:

	       CALL SHAD (n, alpha, x, incx, y, incy, beta, z, incz)

	  C/C++:
	       #include <scsl_blas.h>
	       void shad(int n, float alpha, float *x, int incx, float *y, int
	       incy, float beta, float *z, int incz);

     Double precision

	  Fortran:
	       CALL DHAD (n, alpha, x, incx, y, incy, beta, z, incz)

	  C/C++:
	       #include <scsl_blas.h>
	       void shad(int n, double alpha, double *x, int incx, double *y,
	       int incy, double beta, double *z, int incz);

     Single precision complex

	  Fortran:
	       CALL CHAD (n, alpha, x, incx, y, incy, beta, z, incz)

	  C/C++
	       #include <scsl_blas.h>
	       void shad(int n, scsl_complex *alpha, scsl_complex *x, int
	       incx, scsl_complex *y, int incy, scsl_complex *beta,
	       scsl_complex *z, int incz);

	  C/C++ STL:
	       #include <complex.h>
	       #include <scsl_blas.h>
	       void shad(int n, complex<float> *alpha, complex<float> *x, int
	       incx, complex<float> *y, int incy, complex<float> *beta,
	       complex<float> *z, int incz);

     Double precision complex

	  Fortran:
	       CALL ZHAD (n, alpha, x, incx, y, incy, beta, z, incz)

	  C/C++:
	       #include <scsl_blas.h>
	       void shad(int n, scsl_zomplex *alpha, scsl_zomplex *x, int
	       incx, scsl_zomplex *y, int incy, scsl_zomplex *beta,

									Page 1

SHAD(3S)							      SHAD(3S)

	       scsl_zomplex *z, int incz);

	  C/C++ STL:
	       #include <complex.h>
	       #include <scsl_blas.h>
	       void shad(int n, complex<double> *alpha, complex<double> *x,
	       int incx, complex<double> *y, int incy, complex<double> *beta,
	       complex<double> *z, int incz);

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
     These routines compute the Hadamard product of two vectors x and y,
     storing the results in a vector z.

	  z <- alpha * x  * y  + beta * z , i = 1, . . .  n
	   i		i    i		 i

     alpha = 0.0 is recognized as a special case.  beta = 0.0 or beta = 1.0 is
     also recognized as a special case.

     These routines accept the following arguments:

     n	       Integer.	 (input)
	       The number of elements in each vector.

     alpha     Scalar alpha. (input)
	       SHAD: Single precision.
	       DHAD: Double precision.
	       CHAD: Single precision complex.
	       ZHAD: Double precision complex.

	       For C/C++, a pointer to this scalar is passed when alpha is
	       complex; otherwise, alpha is passed by value.

									Page 2

SHAD(3S)							      SHAD(3S)

     x	       Array of dimension (1 + (n-1) * incx).  (input)
	       SHAD: Single precision array.
	       DHAD: Double precision array.
	       CHAD: Single precision complex array.
	       ZHAD: Double precision complex array.

	       The vector x.

	       If incx > 0, the ith element of the vector x is located in x(1
	       + (i-1) * incx) for Fortran and in x[(i-1) * incx] for C/C++.

	       If incx < 0, the ith element of the vector x is located in x(1
	       + (n-i) * |incx|) for Fortran, x[(n-i) * |incx|] for C/C++.

     incx      Integer.	 (input)
	       The increment between elements of the vector x.
	       incx must not = 0.

     y	       Array of dimension (1 + (n-1) * incy).  (input)
	       SHAD: Single precision array.
	       DHAD: Double precision array.
	       CHAD: Single precision complex array.
	       ZHAD: Double precision complex array.
	       The vector y.

	       If incy > 0, the ith element of the vector y is located in
	       y(1+(i-1) * incy) for Fortran, and in y[(i-1) * incy] for
	       C/C++.

	       If incy < 0, the ith element of the vector y is located in y(1
	       + (n-i) * |incy|) for Fortran, y[(n-i) * |incy|] for C/C++.

     incy      Integer.	 (input)
	       The increment between elements of the vector y.	incy must not
	       be 0.

     beta      The scalar beta. (input)
	       SHAD: Single precision.
	       DHAD: Double precision.
	       CHAD: Single precision complex.
	       ZHAD: Double precision complex.

	       For C/C++, a pointer to this scalar is passed when beta is
	       complex; otherwise, beta is passed by value.

     z	       Array of dimension (1 + (n-1) * incz).  (input/output)
	       SHAD: Single precision array.
	       DHAD: Double precision array.
	       CHAD: Single precision complex array.
	       ZHAD: Double precision complex array.
	       On entry, the vector z.

									Page 3

SHAD(3S)							      SHAD(3S)

	       If incz > 0, the ith element of the vector z is located in z(1
	       + (i-1) * incz) for Fortran, z[(i-1) * incz] for C/C++.

	       If incz < 0, the ith element of the vector z is located in z(1
	       + (n-i) * |incz|) for Fortran, z[(n-i) * incz] for C/C++.

	       On exit, z is overwritten with the Hadamard product.

     incz      Integer.	 (input)
	       The increment between elements of the vector z.	incz must not
	       be 0.

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)

	  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]

	  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:

									Page 4

SHAD(3S)							      SHAD(3S)

	  Array dimensioned n		x[n]

	  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.

									Page 5

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