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package factors
// TotativeRatio calculates the fraction of numbers less than n that
// are totatives of n (share no factors with n)
func TotativeRatio(n uint) float64 {
if n == 0 {
panic("0 has no totative ratio!")
}
primeFactorization := PrimeFactorize(n)
totativeRatio := 1.0
for p := range primeFactorization.exponents {
totativeRatio *= float64(p - 1) / float64(p)
}
return totativeRatio
}
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