Case 059

Power (recursive)

power_recursive.eml computes base^exponent for five sample pairs (2^10, 3^4, 5^0, 7^3, 10^6) via genuine recursion — a power function that calls itself, decrementing the exponent each time.

ok: true — round-trip fixpoint reached (python1 == python2)updated 2026-07-23

EML

eml
# Self-authored for the EML case corpus (no external origin). Computes
# base^exponent for a non-negative integer exponent via genuine recursion —
# the recursive counterpart to examples/armstrong-number-checker/'s iterative
# `power` helper (the `^` operator only accepts a literal exponent, not a
# variable one, so a variable exponent is hand-rolled here recursively
# instead).

def power(base, exponent):
    if exponent == 0:
        return 1
    return base * power(base, exponent - 1)

pairs^+[(2, 10), (3, 4), (5, 0), (7, 3), (10, 6)]
for pair in pairs:
    pair[0] => base
    pair[1] => exponent
    power(base, exponent) => result
    str(base) + "^" + str(exponent) + " = " + str(result) => line
    line^0

Python (deterministic transpilation)

python
def power(base, exponent):
    if exponent == 0:
        return 1
    return base * power(base, exponent - 1)

pairs = [(2, 10), (3, 4), (5, 0), (7, 3), (10, 6)]
for pair in pairs:
    base = pair[0]
    exponent = pair[1]
    result = power(base, exponent)
    line = str(base) + "^" + str(exponent) + " = " + str(result)
    print(line)

stdout (executed)

text
2^10 = 1024
3^4 = 81
5^0 = 1
7^3 = 343
10^6 = 1000000

Trace event types

eml:run:starteml:defeml:assigneml:calleml:returneml:outputeml:run:done