subroutine drotgf(da,db,c,s)
c
c construct givens plane rotation.
c jack dongarra, linpack, 3/11/78.
c
double precision da,db,c,s,roe,scale,r,z
c
roe = db
if( dabs(da) .gt. dabs(db) ) roe = da
scale = dabs(da) + dabs(db)
if( scale .ne. 0.0d0 ) go to 10
c = 1.0d0
s = 0.0d0
r = 0.0d0
z = 0.0d0
go to 20
10 r = scale*dsqrt((da/scale)**2 + (db/scale)**2)
r = dsign(1.0d0,roe)*r
c = da/r
s = db/r
z = 1.0d0
if( dabs(da) .gt. dabs(db) ) z = s
if( dabs(db) .ge. dabs(da) .and. c .ne. 0.0d0 ) z = 1.0d0/c
20 da = r
db = z
return
end