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SUBROUTINE rotate(r,qt,n,np,i,a,b)
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INTEGER n,np,i
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REAL a,b,r(np,np),qt(np,np)
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INTEGER j
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REAL c,fact,s,w,y
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if(a.eq.0.)then
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c=0.
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s=sign(1.,b)
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else if(abs(a).gt.abs(b))then
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fact=b/a
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c=sign(1./sqrt(1.+fact**2),a)
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s=fact*c
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else
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fact=a/b
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s=sign(1./sqrt(1.+fact**2),b)
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c=fact*s
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endif
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do 11 j=i,n
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y=r(i,j)
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w=r(i+1,j)
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r(i,j)=c*y-s*w
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r(i+1,j)=s*y+c*w
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11 continue
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do 12 j=1,n
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y=qt(i,j)
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w=qt(i+1,j)
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qt(i,j)=c*y-s*w
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qt(i+1,j)=s*y+c*w
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12 continue
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return
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END
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