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FUNCTION ellpi(phi,en,ak)
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REAL ellpi,ak,en,phi
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CU USES rf,rj
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REAL cc,enss,q,s,rf,rj
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s=sin(phi)
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enss=en*s*s
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cc=cos(phi)**2
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q=(1.-s*ak)*(1.+s*ak)
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ellpi=s*(rf(cc,q,1.)-enss*rj(cc,q,1.,1.+enss)/3.)
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return
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END
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