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FUNCTION ratval(x,cof,mm,kk)
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INTEGER kk,mm
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DOUBLE PRECISION ratval,x,cof(mm+kk+1)
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INTEGER j
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DOUBLE PRECISION sumd,sumn
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sumn=cof(mm+1)
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do 11 j=mm,1,-1
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sumn=sumn*x+cof(j)
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11 continue
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sumd=0.d0
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do 12 j=mm+kk+1,mm+2,-1
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sumd=(sumd+cof(j))*x
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12 continue
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ratval=sumn/(1.d0+sumd)
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return
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END
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