Connection
Base URL, credentials and a reachable server.
Product
Product features · Continued-fraction convergents
01
Trace successive numerator and denominator updates in ConvergeHazel while preserving their integer relationship.
Selection
A model available through the configured endpoint.
Capabilities
Context limits and tool support are determined by the model and server.
Continued-fraction convergents
● ● ●ConvergeHazel●
A concrete starting point · Continued-fraction convergents ×
def convergents(terms):
terms = tuple(terms)
if not 1 <= len(terms) <= 32 or any(type(a) is not int or abs(a) > 1000 for a in terms):
raise ValueError("fraction.terms")
if any(a <= 0 for a in terms[1:]):
raise ValueError("fraction.tail")
p0, p1, q0, q1, out = 0, 1, 1, 0, []
for a in terms:
p, q = a*p1+p0, a*q1+q0
out.append((p, q))
p0, p1, q0, q1 = p1, p, q1, q
return out✳Return every convergent of a continued fraction with one through 32 integer coefficients bounded by 1000 in magnitude.
✓ ChangesReview before applying ↗
Illustrative workspace