mul

BLAS-3.8.0/Makefile

@@ -0,0 +1,171 @@
+include make.inc
+
+#######################################################################
+#  This is the makefile to create a library for the BLAS.
+#  The files are grouped as follows:
+#
+#       SBLAS1 -- Single precision real BLAS routines
+#       CBLAS1 -- Single precision complex BLAS routines
+#       DBLAS1 -- Double precision real BLAS routines
+#       ZBLAS1 -- Double precision complex BLAS routines
+#
+#       CB1AUX -- Real BLAS routines called by complex routines
+#       ZB1AUX -- D.P. real BLAS routines called by d.p. complex
+#                 routines
+#
+#      ALLBLAS -- Auxiliary routines for Level 2 and 3 BLAS
+#
+#       SBLAS2 -- Single precision real BLAS2 routines
+#       CBLAS2 -- Single precision complex BLAS2 routines
+#       DBLAS2 -- Double precision real BLAS2 routines
+#       ZBLAS2 -- Double precision complex BLAS2 routines
+#
+#       SBLAS3 -- Single precision real BLAS3 routines
+#       CBLAS3 -- Single precision complex BLAS3 routines
+#       DBLAS3 -- Double precision real BLAS3 routines
+#       ZBLAS3 -- Double precision complex BLAS3 routines
+#
+#  The library can be set up to include routines for any combination
+#  of the four precisions.  To create or add to the library, enter make
+#  followed by one or more of the precisions desired.  Some examples:
+#       make single
+#       make single complex
+#       make single double complex complex16
+#  Note that these commands are not safe for parallel builds.
+#
+#  Alternatively, the commands
+#       make all
+#  or
+#       make
+#  without any arguments creates a library of all four precisions.
+#  The name of the library is held in BLASLIB, which is set in the
+#  make.inc
+#
+#  To remove the object files after the library is created, enter
+#       make clean
+#  To force the source files to be recompiled, enter, for example,
+#       make single FRC=FRC
+#
+#---------------------------------------------------------------------
+#
+#  Edward Anderson, University of Tennessee
+#  March 26, 1990
+#  Susan Ostrouchov,  September 30, 1994
+#  Julie Langou, December 2017
+#
+#######################################################################
+
+all: $(BLASLIB)
+
+#---------------------------------------------------------
+#  Comment out the next 6 definitions if you already have
+#  the Level 1 BLAS.
+#---------------------------------------------------------
+SBLAS1 = isamax.o sasum.o saxpy.o scopy.o sdot.o snrm2.o \
+	srot.o srotg.o sscal.o sswap.o sdsdot.o srotmg.o srotm.o
+$(SBLAS1): $(FRC)
+
+CBLAS1 = scabs1.o scasum.o scnrm2.o icamax.o caxpy.o ccopy.o \
+	cdotc.o cdotu.o csscal.o crotg.o cscal.o cswap.o csrot.o
+$(CBLAS1): $(FRC)
+
+DBLAS1 = idamax.o dasum.o daxpy.o dcopy.o ddot.o dnrm2.o \
+	drot.o drotg.o dscal.o dsdot.o dswap.o drotmg.o drotm.o
+$(DBLAS1): $(FRC)
+
+ZBLAS1 = dcabs1.o dzasum.o dznrm2.o izamax.o zaxpy.o zcopy.o \
+	zdotc.o zdotu.o zdscal.o zrotg.o zscal.o zswap.o zdrot.o
+$(ZBLAS1): $(FRC)
+
+CB1AUX = isamax.o sasum.o saxpy.o scopy.o snrm2.o sscal.o
+$(CB1AUX): $(FRC)
+
+ZB1AUX = idamax.o dasum.o daxpy.o dcopy.o dnrm2.o dscal.o
+$(ZB1AUX): $(FRC)
+
+#---------------------------------------------------------------------
+#  The following line defines auxiliary routines needed by both the
+#  Level 2 and Level 3 BLAS.  Comment it out only if you already have
+#  both the Level 2 and 3 BLAS.
+#---------------------------------------------------------------------
+ALLBLAS  = lsame.o xerbla.o xerbla_array.o
+$(ALLBLAS) : $(FRC)
+
+#---------------------------------------------------------
+#  Comment out the next 4 definitions if you already have
+#  the Level 2 BLAS.
+#---------------------------------------------------------
+SBLAS2 = sgemv.o sgbmv.o ssymv.o ssbmv.o sspmv.o \
+	strmv.o stbmv.o stpmv.o strsv.o stbsv.o stpsv.o \
+	sger.o ssyr.o sspr.o ssyr2.o sspr2.o
+$(SBLAS2): $(FRC)
+
+CBLAS2 = cgemv.o cgbmv.o chemv.o chbmv.o chpmv.o \
+	ctrmv.o ctbmv.o ctpmv.o ctrsv.o ctbsv.o ctpsv.o \
+	cgerc.o cgeru.o cher.o chpr.o cher2.o chpr2.o
+$(CBLAS2): $(FRC)
+
+DBLAS2 = dgemv.o dgbmv.o dsymv.o dsbmv.o dspmv.o \
+	dtrmv.o dtbmv.o dtpmv.o dtrsv.o dtbsv.o dtpsv.o \
+	dger.o dsyr.o dspr.o dsyr2.o dspr2.o
+$(DBLAS2): $(FRC)
+
+ZBLAS2 = zgemv.o zgbmv.o zhemv.o zhbmv.o zhpmv.o \
+	ztrmv.o ztbmv.o ztpmv.o ztrsv.o ztbsv.o ztpsv.o \
+	zgerc.o zgeru.o zher.o zhpr.o zher2.o zhpr2.o
+$(ZBLAS2): $(FRC)
+
+#---------------------------------------------------------
+#  Comment out the next 4 definitions if you already have
+#  the Level 3 BLAS.
+#---------------------------------------------------------
+SBLAS3 = sgemm.o ssymm.o ssyrk.o ssyr2k.o strmm.o strsm.o 
+$(SBLAS3): $(FRC)
+
+CBLAS3 = cgemm.o csymm.o csyrk.o csyr2k.o ctrmm.o ctrsm.o \
+	chemm.o cherk.o cher2k.o
+$(CBLAS3): $(FRC)
+
+DBLAS3 = dgemm.o dsymm.o dsyrk.o dsyr2k.o dtrmm.o dtrsm.o
+$(DBLAS3): $(FRC)
+
+ZBLAS3 = zgemm.o zsymm.o zsyrk.o zsyr2k.o ztrmm.o ztrsm.o \
+	zhemm.o zherk.o zher2k.o
+$(ZBLAS3): $(FRC)
+
+ALLOBJ=$(SBLAS1) $(SBLAS2) $(SBLAS3) $(DBLAS1) $(DBLAS2) $(DBLAS3)	\
+	$(CBLAS1) $(CBLAS2) $(CBLAS3) $(ZBLAS1) 	\
+	$(ZBLAS2) $(ZBLAS3) $(ALLBLAS)
+
+$(BLASLIB): $(ALLOBJ)
+	$(ARCH) $(ARCHFLAGS) $@ $(ALLOBJ)
+	$(RANLIB) $@
+
+single: $(SBLAS1) $(ALLBLAS) $(SBLAS2) $(SBLAS3)
+	$(ARCH) $(ARCHFLAGS) $(BLASLIB) $(SBLAS1) $(ALLBLAS) \
+	$(SBLAS2) $(SBLAS3)
+	$(RANLIB) $(BLASLIB)
+
+double: $(DBLAS1) $(ALLBLAS) $(DBLAS2) $(DBLAS3)
+	$(ARCH) $(ARCHFLAGS) $(BLASLIB) $(DBLAS1) $(ALLBLAS) \
+	$(DBLAS2) $(DBLAS3)
+	$(RANLIB) $(BLASLIB)
+
+complex: $(CBLAS1) $(CB1AUX) $(ALLBLAS) $(CBLAS2) $(CBLAS3)
+	$(ARCH) $(ARCHFLAGS) $(BLASLIB) $(CBLAS1) $(CB1AUX) \
+	$(ALLBLAS) $(CBLAS2) $(CBLAS3)
+	$(RANLIB) $(BLASLIB)
+
+complex16: $(ZBLAS1) $(ZB1AUX) $(ALLBLAS) $(ZBLAS2) $(ZBLAS3)
+	$(ARCH) $(ARCHFLAGS) $(BLASLIB) $(ZBLAS1) $(ZB1AUX) \
+	$(ALLBLAS) $(ZBLAS2) $(ZBLAS3)
+	$(RANLIB) $(BLASLIB)
+
+FRC:
+	@FRC=$(FRC)
+
+clean:
+	rm -f *.o
+
+.f.o: 
+	$(FORTRAN) $(OPTS) -c $< -o $@

BLAS-3.8.0/caxpy.f

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+*> \brief \b CAXPY
+*
+*  =========== DOCUMENTATION ===========
+*
+* Online html documentation available at
+*            http://www.netlib.org/lapack/explore-html/
+*
+*  Definition:
+*  ===========
+*
+*       SUBROUTINE CAXPY(N,CA,CX,INCX,CY,INCY)
+*
+*       .. Scalar Arguments ..
+*       COMPLEX CA
+*       INTEGER INCX,INCY,N
+*       ..
+*       .. Array Arguments ..
+*       COMPLEX CX(*),CY(*)
+*       ..
+*
+*
+*> \par Purpose:
+*  =============
+*>
+*> \verbatim
+*>
+*>    CAXPY constant times a vector plus a vector.
+*> \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,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.
+*
+*> \date November 2017
+*
+*> \ingroup complex_blas_level1
+*
+*> \par Further Details:
+*  =====================
+*>
+*> \verbatim
+*>
+*>     jack dongarra, linpack, 3/11/78.
+*>     modified 12/3/93, array(1) declarations changed to array(*)
+*> \endverbatim
+*>
+*  =====================================================================
+      SUBROUTINE CAXPY(N,CA,CX,INCX,CY,INCY)
+*
+*  -- Reference BLAS level1 routine (version 3.8.0) --
+*  -- Reference BLAS is a software package provided by Univ. of Tennessee,    --
+*  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
+*     November 2017
+*
+*     .. Scalar Arguments ..
+      COMPLEX CA
+      INTEGER INCX,INCY,N
+*     ..
+*     .. Array Arguments ..
+      COMPLEX CX(*),CY(*)
+*     ..
+*
+*  =====================================================================
+*
+*     .. Local Scalars ..
+      INTEGER I,IX,IY
+*     ..
+*     .. External Functions ..
+      REAL SCABS1
+      EXTERNAL SCABS1
+*     ..
+      IF (N.LE.0) RETURN
+      IF (SCABS1(CA).EQ.0.0E+0) RETURN
+      IF (INCX.EQ.1 .AND. INCY.EQ.1) THEN
+*
+*        code for both increments equal to 1
+*
+         DO I = 1,N
+            CY(I) = 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) = CY(IY) + CA*CX(IX)
+            IX = IX + INCX
+            IY = IY + INCY
+         END DO
+      END IF
+*
+      RETURN
+      END