I really like this idea. It fixes the weirdness whereby cmath is for
complex numbers, and math is for real numbers and integers. I like
separating them into three categories.
One suggestion: Consider generalizing binom to the multinomial coefficent.
def binom(n, *ks):
# Returns n! / prod(ki! for ki in ks)
Best,
Neil
On Thursday, July 12, 2018 at 7:57:08 AM UTC-4, Serhiy Storchaka wrote:
>
> What are your thoughts about adding a new imath module for integer
> mathematics? It could contain the following functions:
>
> * factorial(n)
>
> Is just moved from the math module, but non-integer types are rejected.
> Currently math.factorial() accepts also integer floats like 3.0. It
> looks to me, the rationale was that at the time when math.factorial()
> was added, all function in the math module worked with floats. But now
> we can revise this decision.
>
> * gcd(n, m)
>
> Is just moved from the math module.
>
> * as_integer_ration(x)
>
> Equivalents to:
>
> def as_integer_ration(x):
> if hasattr(x, 'as_integer_ration'):
> return x.as_integer_ration()
> else:
> return (x.numerator, x.denominator)
>
> * binom(n, k)
>
> Returns factorial(n) // (factorial(k) * factorial(n-k)), but uses more
> efficient algorithm.
>
> * sqrt(n)
>
> Returns the largest integer r such that r**2 <= n and (r+1)**2 > n.
>
> * isprime(n)
>
> Tests if n is a prime number.
>
> * primes()
>
> Returns an iterator of prime numbers: 2, 3, 5, 7, 11, 13,...
>
> Are there more ideas?
>
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