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Coding workflows · Exact polynomial antiderivatives
03
A concrete starting point
Integrate a polynomial supplied as zero to 64 integer coefficients in ascending degree, each within ±10^9, returning rational coefficients with a fixed zero constant. Test empty and trailing-zero inputs by differentiating the result, rejecting Boolean or out-of-range coefficients without numerical quadrature.
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Exact polynomial antiderivatives
A concrete starting point
from fractions import Fraction
def antiderivative(coefficients):
if type(coefficients) is not list or len(coefficients) > 64:
raise ValueError("integral.input")
if any(type(value) is not int or abs(value) > 10**9 for value in coefficients):
raise ValueError("integral.coefficient")
return [Fraction(0)] + [Fraction(value, degree+1)
for degree, value in enumerate(coefficients)]
The example is a starting point for a real project, not a claim that generated code is already tested. Adjust paths, dependencies and expected behavior to match your application.