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Implement S/C/D/Z AXPBY #1048
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langou
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Reference-LAPACK:master
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grisuthedragon:implement-axpby
Sep 19, 2025
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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
grisuthedragon 7f5bcbb
Merge branch 'Reference-LAPACK:master' into implement-axpby
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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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| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -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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