single_blas_level1(3) real

Functions


real function sasum (N, SX, INCX)
SASUM
subroutine saxpy (N, SA, SX, INCX, SY, INCY)
SAXPY
real function scabs1 (Z)
SCABS1
real function scasum (N, CX, INCX)
SCASUM
real function scnrm2 (N, X, INCX)
SCNRM2
subroutine scopy (N, SX, INCX, SY, INCY)
SCOPY
real function sdot (N, SX, INCX, SY, INCY)
SDOT
real function sdsdot (N, SB, SX, INCX, SY, INCY)
SDSDOT
real function snrm2 (N, X, INCX)
SNRM2
subroutine srot (N, SX, INCX, SY, INCY, C, S)
SROT
subroutine srotg (SA, SB, C, S)
SROTG
subroutine srotm (N, SX, INCX, SY, INCY, SPARAM)
SROTM
subroutine srotmg (SD1, SD2, SX1, SY1, SPARAM)
SROTMG
subroutine sscal (N, SA, SX, INCX)
SSCAL
subroutine sswap (N, SX, INCX, SY, INCY)
SSWAP

Detailed Description

This is the group of real LEVEL 1 BLAS routines.

Function Documentation

real function sasum (integer N, real, dimension(*) SX, integer INCX)

SASUM

Purpose: 

    SASUM takes the sum of the absolute values.
    uses unrolled loops for increment equal to one.


 

Author:

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Date:

November 2011

Further Details: 

     jack dongarra, linpack, 3/11/78.
     modified 3/93 to return if incx .le. 0.
     modified 12/3/93, array(1) declarations changed to array(*)


 

subroutine saxpy (integer N, real SA, real, dimension(*) SX, integer INCX, real, dimension(*) SY, integer INCY)

SAXPY

Purpose: 

    SAXPY constant times a vector plus a vector.
    uses unrolled loops for increments equal to one.


 

Author:

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Date:

November 2011

Further Details: 

     jack dongarra, linpack, 3/11/78.
     modified 12/3/93, array(1) declarations changed to array(*)


 

real function scabs1 (complex Z)

SCABS1

Purpose: 

 SCABS1 computes |Re(.)| + |Im(.)| of a complex number


 

Author:

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Date:

November 2015

real function scasum (integer N, complex, dimension(*) CX, integer INCX)

SCASUM

Purpose: 

    SCASUM takes the sum of the (|Re(.)| + |Im(.)|)'s of a complex vector and
    returns a single precision result.


 

Author:

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Date:

November 2015

Further Details: 

     jack dongarra, linpack, 3/11/78.
     modified 3/93 to return if incx .le. 0.
     modified 12/3/93, array(1) declarations changed to array(*)


 

real function scnrm2 (integer N, complex, dimension(*) X, integer INCX)

SCNRM2

Purpose: 

 SCNRM2 returns the euclidean norm of a vector via the function
 name, so that
    SCNRM2 := sqrt( x**H*x )


 

Author:

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Date:

November 2011

Further Details: 

  -- This version written on 25-October-1982.
     Modified on 14-October-1993 to inline the call to CLASSQ.
     Sven Hammarling, Nag Ltd.


 

subroutine scopy (integer N, real, dimension(*) SX, integer INCX, real, dimension(*) SY, integer INCY)

SCOPY

Purpose: 

    SCOPY copies a vector, x, to a vector, y.
    uses unrolled loops for increments equal to 1.


 

Author:

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Date:

November 2011

Further Details: 

     jack dongarra, linpack, 3/11/78.
     modified 12/3/93, array(1) declarations changed to array(*)


 

real function sdot (integer N, real, dimension(*) SX, integer INCX, real, dimension(*) SY, integer INCY)

SDOT

Purpose: 

    SDOT forms the dot product of two vectors.
    uses unrolled loops for increments equal to one.


 

Author:

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Date:

November 2011

Further Details: 

     jack dongarra, linpack, 3/11/78.
     modified 12/3/93, array(1) declarations changed to array(*)


 

real function sdsdot (integer N, real SB, real, dimension(*) SX, integer INCX, real, dimension(*) SY, integer INCY)

SDSDOT

Purpose:


 

Author:

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Date:

November 2011

real function snrm2 (integer N, real, dimension(*) X, integer INCX)

SNRM2

Purpose: 

 SNRM2 returns the euclidean norm of a vector via the function
 name, so that
    SNRM2 := sqrt( x'*x ).


 

Author:

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Date:

November 2011

Further Details: 

  -- This version written on 25-October-1982.
     Modified on 14-October-1993 to inline the call to SLASSQ.
     Sven Hammarling, Nag Ltd.


 

subroutine srot (integer N, real, dimension(*) SX, integer INCX, real, dimension(*) SY, integer INCY, real C, real S)

SROT

Purpose: 

    applies a plane rotation.


 

Author:

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Date:

November 2011

Further Details: 

     jack dongarra, linpack, 3/11/78.
     modified 12/3/93, array(1) declarations changed to array(*)


 

subroutine srotg (real SA, real SB, real C, real S)

SROTG

Purpose: 

    SROTG construct givens plane rotation.


 

Author:

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Date:

November 2011

Further Details: 

     jack dongarra, linpack, 3/11/78.


 

subroutine srotm (integer N, real, dimension(*) SX, integer INCX, real, dimension(*) SY, integer INCY, real, dimension(5) SPARAM)

SROTM

Purpose: 

    APPLY THE MODIFIED GIVENS TRANSFORMATION, H, TO THE 2 BY N MATRIX
    (SX**T) , WHERE **T INDICATES TRANSPOSE. THE ELEMENTS OF SX ARE IN
    (SX**T)
    SX(LX+I*INCX), I = 0 TO N-1, WHERE LX = 1 IF INCX .GE. 0, ELSE
    LX = (-INCX)*N, AND SIMILARLY FOR SY USING USING LY AND INCY.
    WITH SPARAM(1)=SFLAG, H HAS ONE OF THE FOLLOWING FORMS..
    SFLAG=-1.E0     SFLAG=0.E0        SFLAG=1.E0     SFLAG=-2.E0
      (SH11  SH12)    (1.E0  SH12)    (SH11  1.E0)    (1.E0  0.E0)
    H=(          )    (          )    (          )    (          )
      (SH21  SH22),   (SH21  1.E0),   (-1.E0 SH22),   (0.E0  1.E0).
    SEE  SROTMG FOR A DESCRIPTION OF DATA STORAGE IN SPARAM.


 

Parameters:

N 

          N is INTEGER
         number of elements in input vector(s)


SX 

          SX is REAL array, dimension N
         double precision vector with N elements


INCX 

          INCX is INTEGER
         storage spacing between elements of SX


SY 

          SY is REAL array, dimension N
         double precision vector with N elements


INCY 

          INCY is INTEGER
         storage spacing between elements of SY


SPARAM 

          SPARAM is REAL array, dimension 5
     SPARAM(1)=SFLAG
     SPARAM(2)=SH11
     SPARAM(3)=SH21
     SPARAM(4)=SH12
     SPARAM(5)=SH22


 

Author:

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Date:

November 2011

subroutine srotmg (real SD1, real SD2, real SX1, real SY1, real, dimension(5) SPARAM)

SROTMG

Purpose: 

    CONSTRUCT THE MODIFIED GIVENS TRANSFORMATION MATRIX H WHICH ZEROS
    THE SECOND COMPONENT OF THE 2-VECTOR  (SQRT(SD1)*SX1,SQRT(SD2)*>    SY2)**T.
    WITH SPARAM(1)=SFLAG, H HAS ONE OF THE FOLLOWING FORMS..
    SFLAG=-1.E0     SFLAG=0.E0        SFLAG=1.E0     SFLAG=-2.E0
      (SH11  SH12)    (1.E0  SH12)    (SH11  1.E0)    (1.E0  0.E0)
    H=(          )    (          )    (          )    (          )
      (SH21  SH22),   (SH21  1.E0),   (-1.E0 SH22),   (0.E0  1.E0).
    LOCATIONS 2-4 OF SPARAM CONTAIN SH11,SH21,SH12, AND SH22
    RESPECTIVELY. (VALUES OF 1.E0, -1.E0, OR 0.E0 IMPLIED BY THE
    VALUE OF SPARAM(1) ARE NOT STORED IN SPARAM.)
    THE VALUES OF GAMSQ AND RGAMSQ SET IN THE DATA STATEMENT MAY BE
    INEXACT.  THIS IS OK AS THEY ARE ONLY USED FOR TESTING THE SIZE
    OF SD1 AND SD2.  ALL ACTUAL SCALING OF DATA IS DONE USING GAM.


 

Parameters:

SD1 

          SD1 is REAL


SD2 

          SD2 is REAL


SX1 

          SX1 is REAL


SY1 

          SY1 is REAL


SPARAM 

          SPARAM is REAL array, dimension 5
     SPARAM(1)=SFLAG
     SPARAM(2)=SH11
     SPARAM(3)=SH21
     SPARAM(4)=SH12
     SPARAM(5)=SH22


 

Author:

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Date:

November 2011

subroutine sscal (integer N, real SA, real, dimension(*) SX, integer INCX)

SSCAL

Purpose: 

    scales a vector by a constant.
    uses unrolled loops for increment equal to 1.


 

Author:

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Date:

November 2011

Further Details: 

     jack dongarra, linpack, 3/11/78.
     modified 3/93 to return if incx .le. 0.
     modified 12/3/93, array(1) declarations changed to array(*)


 

subroutine sswap (integer N, real, dimension(*) SX, integer INCX, real, dimension(*) SY, integer INCY)

SSWAP

Purpose: 

    interchanges two vectors.
    uses unrolled loops for increments equal to 1.


 

Author:

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Date:

November 2011

Further Details: 

     jack dongarra, linpack, 3/11/78.
     modified 12/3/93, array(1) declarations changed to array(*)


 

Author

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