"""
Compare two float lists element-by-element using a tolerance.
Floating‑point values often differ slightly due to rounding,
so two numbers are considered "equal" when their absolute
difference is below the chosen threshold.
"""
from math import fabs
def compare_float_lists(a, b, tolerance):
"""
Compare two float lists and return True if all elements
match within the given tolerance.
"""
# If lengths differ, lists cannot be equal
if len(a) != len(b):
return False
# Compare each pair of elements using absolute difference
for x, y in zip(a, b):
diff = fabs(x - y)
# If any element differs more than tolerance, lists are not equal
if diff > tolerance:
return False
# All elements matched within tolerance
return True
def print_comparison(result):
"""Prints the comparison result."""
if result:
print("Lists are equal within tolerance.")
else:
print("Lists differ.")
def main():
# Example lists
float_list1 = [
12314.9872,
3.14,
12387.91372,
8876.579013
]
float_list2 = [
12314.9872,
3.14,
12387.91371,
8876.579013
]
# Tolerance chosen for comparison
tolerance = 0.001
# Perform comparison
result = compare_float_lists(float_list1, float_list2, tolerance)
# Output result
print_comparison(result)
if __name__ == "__main__":
main()
"""
run:
Lists are equal within tolerance.
"""
