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subroutine dcmpsv (a,m,n,w,v)
parameter (nmax=1000)
real*8 a(m,n),w(n),v(n,n),rv1(nmax)
real*8 c, g, f, h, s, y, z, x, scale, anorm
g=0.0
scale=0.0
anorm=0.0
do i=1,n
l=i+1
rv1(i)=scale*g
g=0.0
s=0.0
scale=0.0
if (i.le.m) then
do k=i,m
scale=scale+dabs(a(k,i))
enddo
if (scale.ne.0.0) then
do k=i,m
a(k,i)=a(k,i)/scale
s=s+a(k,i)*a(k,i)
enddo
f=a(i,i)
g=-dsign(dsqrt(s),f)
h=f*g-s
a(i,i)=f-g
if (i.ne.n) then
do j=l,n
s=0.0
do k=i,m
s=s+a(k,i)*a(k,j)
enddo
f=s/h
do k=i,m
a(k,j)=a(k,j)+f*a(k,i)
enddo
enddo
endif
do k= i,m
a(k,i)=scale*a(k,i)
enddo
endif
endif
w(i)=scale *g
g=0.0
s=0.0
scale=0.0
if ((i.le.m).and.(i.ne.n)) then
do k=l,n
scale=scale+dabs(a(i,k))
enddo
if (scale.ne.0.0) then
do k=l,n
a(i,k)=a(i,k)/scale
s=s+a(i,k)*a(i,k)
enddo
f=a(i,l)
g=-dsign(dsqrt(s),f)
h=f*g-s
a(i,l)=f-g
do k=l,n
rv1(k)=a(i,k)/h
enddo
if (i.ne.m) then
do j=l,m
s=0.0
do k=l,n
s=s+a(j,k)*a(i,k)
enddo
do k=l,n
a(j,k)=a(j,k)+s*rv1(k)
enddo
enddo
endif
do k=l,n
a(i,k)=scale*a(i,k)
enddo
endif
endif
anorm=dmax1(anorm,(dabs(w(i))+dabs(rv1(i))))
enddo
do i=n,1,-1
if (i.lt.n) then
if (g.ne.0.0) then
do j=l,n
v(j,i)=(a(i,j)/a(i,l))/g
enddo
do j=l,n
s=0.0
do k=l,n
s=s+a(i,k)*v(k,j)
enddo
do k=l,n
v(k,j)=v(k,j)+s*v(k,i)
enddo
enddo
endif
do j=l,n
v(i,j)=0.0
v(j,i)=0.0
enddo
endif
v(i,i)=1.0
g=rv1(i)
l=i
enddo
do i=n,1,-1
l=i+1
g=w(i)
if (i.lt.n) then
do j=l,n
a(i,j)=0.0
enddo
endif
if (g.ne.0.0) then
g=1.0/g
if (i.ne.n) then
do j=l,n
s=0.0
do k=l,m
s=s+a(k,i)*a(k,j)
enddo
f=(s/a(i,i))*g
do k=i,m
a(k,j)=a(k,j)+f*a(k,i)
enddo
enddo
endif
do j=i,m
a(j,i)=a(j,i)*g
enddo
else
do j= i,m
a(j,i)=0.0
enddo
endif
a(i,i)=a(i,i)+1.0
enddo
do k=n,1,-1
do its=1,30
do l=k,1,-1
nm=l-1
if ((dabs(rv1(l))+anorm).eq.anorm) go to 2
if ((dabs(w(nm))+anorm).eq.anorm) go to 1
enddo
1 c=0.0
s=1.0
do i=l,k
f=s*rv1(i)
if ((dabs(f)+anorm).ne.anorm) then
g=w(i)
h=dsqrt(f*f+g*g)
w(i)=h
h=1.0/h
c= (g*h)
s=-(f*h)
do j=1,m
y=a(j,nm)
z=a(j,i)
a(j,nm)=(y*c)+(z*s)
a(j,i)=-(y*s)+(z*c)
enddo
endif
enddo
2 z=w(k)
if (l.eq.k) then
if (z.lt.0.0) then
w(k)=-z
do j=1,n
v(j,k)=-v(j,k)
enddo
endif
go to 3
endif
if (its.eq.30) pause 'nO CONVERGENCE IN 30 ITERATIONS'
x=w(l)
nm=k-1
y=w(nm)
g=rv1(nm)
h=rv1(k)
f=((y-z)*(y+z)+(g-h)*(g+h))/(2.0*h*y)
g=dsqrt(f*f+1.0)
f=((x-z)*(x+z)+h*((y/(f+dsign(g,f)))-h))/x
c=1.0
s=1.0
do j=l,nm
i=j+1
g=rv1(i)
y=w(i)
h=s*g
g=c*g
z=dsqrt(f*f+h*h)
rv1(j)=z
c=f/z
s=h/z
f= (x*c)+(g*s)
g=-(x*s)+(g*c)
h=y*s
y=y*c
do nm=1,n
x=v(nm,j)
z=v(nm,i)
v(nm,j)= (x*c)+(z*s)
v(nm,i)=-(x*s)+(z*c)
enddo
z=sqrt(f*f+h*h)
w(j)=z
if (z.ne.0.0) then
z=1.0/z
c=f*z
s=h*z
endif
f= (c*g)+(s*y)
x=-(s*g)+(c*y)
do nm=1,m
y=a(nm,j)
z=a(nm,i)
a(nm,j)= (y*c)+(z*s)
a(nm,i)=-(y*s)+(z*c)
enddo
enddo
rv1(l)=0.0
rv1(k)=f
w(k)=x
enddo
3 continue
enddo
return
end
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