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Implement S/C/D/Z AXPBY #1048
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Implement S/C/D/Z AXPBY #1048
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6cdf7bc
Implement AXBPY
grisuthedragon ad70e72
Tests for C/S/D/ZAXBPY
grisuthedragon c571921
Update CBLAS headers
grisuthedragon 4b9693f
Add CBLAS for AXPBY
grisuthedragon f21a6ae
Fix error if alpha=0
grisuthedragon 1221bb2
Merge branch 'Reference-LAPACK:master' into implement-axpby
grisuthedragon 506f2b3
Merge branch 'Reference-LAPACK:master' into implement-axpby
grisuthedragon 0ab775d
Merge branch 'master' into implement-axpby
grisuthedragon e6eeebd
Merge branch 'Reference-LAPACK:master' into implement-axpby
grisuthedragon 6fa7bf6
Fix suggestions by angsch
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Original file line number | Diff line number | Diff line change |
---|---|---|
@@ -0,0 +1,144 @@ | ||
*> \brief \b CAXPBY | ||
* | ||
* =========== DOCUMENTATION =========== | ||
* | ||
* Online html documentation available at | ||
* http://www.netlib.org/lapack/explore-html/ | ||
* | ||
* Definition: | ||
* =========== | ||
* | ||
* SUBROUTINE CAXPBY(N,CA,CX,INCX,CB,CY,INCY) | ||
* | ||
* .. Scalar Arguments .. | ||
* COMPLEX CA,CB | ||
* INTEGER INCX,INCY,N | ||
* .. | ||
* .. Array Arguments .. | ||
* COMPLEX CX(*),CY(*) | ||
* .. | ||
* | ||
* | ||
*> \par Purpose: | ||
* ============= | ||
*> | ||
*> \verbatim | ||
*> | ||
*> CAXPBY constant times a vector plus constant times a vector. | ||
*> | ||
*> Y = ALPHA * X + BETA * Y | ||
*> | ||
*> \endverbatim | ||
* | ||
* Arguments: | ||
* ========== | ||
* | ||
*> \param[in] N | ||
*> \verbatim | ||
*> N is INTEGER | ||
*> number of elements in input vector(s) | ||
*> \endverbatim | ||
*> | ||
*> \param[in] CA | ||
*> \verbatim | ||
*> CA is COMPLEX | ||
*> On entry, CA specifies the scalar alpha. | ||
*> \endverbatim | ||
*> | ||
*> \param[in] CX | ||
*> \verbatim | ||
*> CX is COMPLEX array, dimension ( 1 + ( N - 1 )*abs( INCX ) ) | ||
*> \endverbatim | ||
*> | ||
*> \param[in] INCX | ||
*> \verbatim | ||
*> INCX is INTEGER | ||
*> storage spacing between elements of CX | ||
*> \endverbatim | ||
*> | ||
*> \param[in] CB | ||
*> \verbatim | ||
*> CB is COMPLEX | ||
*> On entry, CB specifies the scalar beta. | ||
*> \endverbatim | ||
*> | ||
*> \param[in,out] CY | ||
*> \verbatim | ||
*> CY is COMPLEX array, dimension ( 1 + ( N - 1 )*abs( INCY ) ) | ||
*> \endverbatim | ||
*> | ||
*> \param[in] INCY | ||
*> \verbatim | ||
*> INCY is INTEGER | ||
*> storage spacing between elements of CY | ||
*> \endverbatim | ||
* | ||
* Authors: | ||
* ======== | ||
* | ||
*> \author Univ. of Tennessee | ||
*> \author Univ. of California Berkeley | ||
*> \author Univ. of Colorado Denver | ||
*> \author NAG Ltd. | ||
*> \author Martin Koehler, MPI Magdeburg | ||
* | ||
*> \ingroup axpby | ||
* | ||
* ===================================================================== | ||
SUBROUTINE CAXPBY(N,CA,CX,INCX,CB,CY,INCY) | ||
IMPLICIT NONE | ||
* | ||
* -- Reference BLAS level1 routine -- | ||
* -- Reference BLAS is a software package provided by Univ. of Tennessee, -- | ||
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- | ||
* | ||
* .. Scalar Arguments .. | ||
COMPLEX CA, CB | ||
INTEGER INCX,INCY,N | ||
* .. | ||
* .. Array Arguments .. | ||
COMPLEX CX(*),CY(*) | ||
* .. | ||
* .. External Subroutines .. | ||
EXTERNAL CSCAL | ||
* | ||
* ===================================================================== | ||
* | ||
* .. Local Scalars .. | ||
INTEGER I,IX,IY | ||
* .. | ||
IF (N.LE.0) RETURN | ||
|
||
IF (CA .EQ. (0.0,0.0) .AND. CB.NE.(0.0,0.0)) THEN | ||
CALL CSCAL(N,CB, CY, INCY) | ||
RETURN | ||
END IF | ||
|
||
IF (INCX.EQ.1 .AND. INCY.EQ.1) THEN | ||
* | ||
* code for both increments equal to 1 | ||
* | ||
DO I = 1,N | ||
CY(I) = CB*CY(I) + CA*CX(I) | ||
END DO | ||
ELSE | ||
* | ||
* code for unequal increments or equal increments | ||
* not equal to 1 | ||
* | ||
IX = 1 | ||
IY = 1 | ||
IF (INCX.LT.0) IX = (-N+1)*INCX + 1 | ||
IF (INCY.LT.0) IY = (-N+1)*INCY + 1 | ||
DO I = 1,N | ||
CY(IY) = CB*CY(IY) + CA*CX(IX) | ||
IX = IX + INCX | ||
IY = IY + INCY | ||
END DO | ||
END IF | ||
* | ||
RETURN | ||
* | ||
* End of CAXBPY | ||
* | ||
END |
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@@ -0,0 +1,149 @@ | ||
*> \brief \b DAXPBY | ||
* | ||
* =========== DOCUMENTATION =========== | ||
* | ||
* Online html documentation available at | ||
* http://www.netlib.org/lapack/explore-html/ | ||
* | ||
* Definition: | ||
* =========== | ||
* | ||
* SUBROUTINE DAXPBY(N,DA,DX,INCX,DB,DY,INCY) | ||
* | ||
* .. Scalar Arguments .. | ||
* DOUBLE PRECISION DA,DB | ||
* INTEGER INCX,INCY,N | ||
* .. | ||
* .. Array Arguments .. | ||
* DOUBLE PRECISION DX(*),DY(*) | ||
* .. | ||
* | ||
* | ||
*> \par Purpose: | ||
* ============= | ||
*> | ||
*> \verbatim | ||
*> | ||
*> DAXPBY constant times a vector plus constant times a vector. | ||
*> | ||
*> Y = ALPHA * X + BETA * Y | ||
*> | ||
*> \endverbatim | ||
* | ||
* Arguments: | ||
* ========== | ||
* | ||
*> \param[in] N | ||
*> \verbatim | ||
*> N is INTEGER | ||
*> number of elements in input vector(s) | ||
*> \endverbatim | ||
*> | ||
*> \param[in] DA | ||
*> \verbatim | ||
*> DA is DOUBLE PRECISION | ||
*> On entry, DA specifies the scalar alpha. | ||
*> \endverbatim | ||
*> | ||
*> \param[in] DX | ||
*> \verbatim | ||
*> DX is DOUBLE PRECISION array, dimension ( 1 + ( N - 1 )*abs( INCX ) ) | ||
*> \endverbatim | ||
*> | ||
*> \param[in] INCX | ||
*> \verbatim | ||
*> INCX is INTEGER | ||
*> storage spacing between elements of DX | ||
*> \endverbatim | ||
*> | ||
*> \param[in] DB | ||
*> \verbatim | ||
*> DB is DOUBLE PRECISION | ||
*> On entry, DB specifies the scalar beta. | ||
*> \endverbatim | ||
*> | ||
*> \param[in,out] DY | ||
*> \verbatim | ||
*> DY is DOUBLE PRECISION array, dimension ( 1 + ( N - 1 )*abs( INCY ) ) | ||
*> \endverbatim | ||
*> | ||
*> \param[in] INCY | ||
*> \verbatim | ||
*> INCY is INTEGER | ||
*> storage spacing between elements of DY | ||
*> \endverbatim | ||
* | ||
* Authors: | ||
* ======== | ||
* | ||
*> \author Univ. of Tennessee | ||
*> \author Univ. of California Berkeley | ||
*> \author Univ. of Colorado Denver | ||
*> \author NAG Ltd. | ||
*> \author Martin Koehler, MPI Magdeburg | ||
* | ||
*> \ingroup axpby | ||
* | ||
* ===================================================================== | ||
SUBROUTINE DAXPBY(N,DA,DX,INCX,DB,DY,INCY) | ||
IMPLICIT NONE | ||
* | ||
* -- Reference BLAS level1 routine -- | ||
* -- Reference BLAS is a software package provided by Univ. of Tennessee, -- | ||
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- | ||
* | ||
* .. Scalar Arguments .. | ||
DOUBLE PRECISION DA,DB | ||
INTEGER INCX,INCY,N | ||
* .. | ||
* .. Array Arguments .. | ||
DOUBLE PRECISION DX(*),DY(*) | ||
* .. | ||
* .. External Subroutines | ||
EXTERNAL DSCAL | ||
* | ||
* ===================================================================== | ||
* | ||
* .. Local Scalars .. | ||
INTEGER I,IX,IY,M,MP1 | ||
* .. | ||
* .. Intrinsic Functions .. | ||
INTRINSIC MOD | ||
* .. | ||
IF (N.LE.0) RETURN | ||
|
||
* Scale if DA.EQ.0 | ||
IF (DA.EQ.0.0D0 .AND. DB.NE.0.0D0) THEN | ||
CALL DSCAL(N, DB, DY, INCY) | ||
RETURN | ||
END IF | ||
|
||
IF (INCX.EQ.1 .AND. INCY.EQ.1) THEN | ||
* | ||
* code for both increments equal to 1 | ||
* | ||
* | ||
* | ||
DO I = 1,N | ||
DY(I) = DB*DY(I) + DA*DX(I) | ||
END DO | ||
ELSE | ||
* | ||
* code for unequal increments or equal increments | ||
* not equal to 1 | ||
* | ||
IX = 1 | ||
IY = 1 | ||
IF (INCX.LT.0) IX = (-N+1)*INCX + 1 | ||
IF (INCY.LT.0) IY = (-N+1)*INCY + 1 | ||
DO I = 1,N | ||
DY(IY) = DB*DY(IY) + DA*DX(IX) | ||
IX = IX + INCX | ||
IY = IY + INCY | ||
END DO | ||
END IF | ||
RETURN | ||
* | ||
* End of DAXPBY | ||
* | ||
END |
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