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daxpy.f
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1989-08-17
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c imsl routine name - vbla=daxpy vbdb0010
c
c-----------------------------------------------------------------------
c
c computer - vax/double
c
c latest revision - january 1, 1978
c
c purpose - compute a constant times a vector plus
c a vector, all double precision
c
c usage - call daxpy (n,da,dx,incx,dy,incy)
c
c arguments n - length of vectors x and y. (input)
c da - double precision scalar. (input)
c dx - double precision vector of length
c max(n*iabs(incx),1). (input)
c incx - displacement between elements of dx. (input)
c x(i) is defined to be..
c dx(1+(i-1)*incx) if incx.ge.0 or
c dx(1+(i-n)*incx) if incx.lt.0.
c dy - double precision vector of length
c max(n*iabs(incy),1). (input/output)
c daxpy replaces y(i) with da*x(i)+y(i) for
c i=1,...,n.
c x(i) and y(i) refer to specific elements
c of dx and dy, respectively. see incx and
c incy argument descriptions.
c incy - displacement between elements of dy. (input)
c y(i) is defined to be..
c dy(1+(i-1)*incy) if incy.ge.0 or
c dy(1+(i-n)*incy) if incy.lt.0.
c
c precision/hardware - double/all
c
c reqd. imsl routines - none required
c
c notation - information on special notation and
c conventions is available in the manual
c introduction or through imsl routine uhelp
c
c copyright - 1978 by imsl, inc. all rights reserved.
c
c warranty - imsl warrants only that imsl testing has been
c applied to this code. no other warranty,
c expressed or implied, is applicable.
c
c-----------------------------------------------------------------------
c
subroutine daxpy (n,da,dx,incx,dy,incy)
c
c specifications for arguments
double precision dx(1),dy(1),da
integer n,incx,incy
c specifications for local variables
integer i,iy,m,mp1,ns,ix
c first executable statement
if (n.le.0.or.da.eq.0.d0) return
if (incx.eq.incy) if (incx-1) 5,15,35
5 continue
c code for nonequal or nonpositive
c increments.
ix = 1
iy = 1
if (incx.lt.0) ix = (-n+1)*incx+1
if (incy.lt.0) iy = (-n+1)*incy+1
do 10 i=1,n
dy(iy) = dy(iy)+da*dx(ix)
ix = ix+incx
iy = iy+incy
10 continue
return
c code for both increments equal to 1
c clean-up loop so remaining vector
c length is a multiple of 4.
15 m = n-(n/4)*4
if (m.eq.0) go to 25
do 20 i=1,m
dy(i) = dy(i)+da*dx(i)
20 continue
if (n.lt.4) return
25 mp1 = m+1
do 30 i=mp1,n,4
dy(i) = dy(i)+da*dx(i)
dy(i+1) = dy(i+1)+da*dx(i+1)
dy(i+2) = dy(i+2)+da*dx(i+2)
dy(i+3) = dy(i+3)+da*dx(i+3)
30 continue
return
c code for equal, positive, nonunit
c increments.
35 continue
ns = n*incx
do 40 i=1,ns,incx
dy(i) = da*dx(i)+dy(i)
40 continue
return
end