# -----------------------------------------------------------------------------
# Determines whether a floating‑point number (Float) is an integer.
# Uses a small tolerance to safely handle floating‑point precision issues.
# Ruby's Float behaves like a double‑precision floating‑point value.
# -----------------------------------------------------------------------------
def integer?(value)
epsilon = 1e-12
# floor returns the largest integer <= value
floored = value.floor
# If the absolute difference is extremely small, treat the number as integer
(value - floored).abs < epsilon
end
# -----------------------------------------------------------------------------
# Prints a descriptive message for the given floating‑point value.
# -----------------------------------------------------------------------------
def print_check(value)
puts "Checking value: #{format('%.15f', value)}"
if integer?(value)
puts "Result: The value contains an integer.\n\n"
else
puts "Result: The value contains a floating‑point number.\n\n"
end
end
# -----------------------------------------------------------------------------
# Entry point demonstrating several example values.
# -----------------------------------------------------------------------------
def main
# Example input values (Ruby Float behaves like a double)
a = 42.0 # integer-like
b = 42.00000000001 # floating-point due to tiny fraction
c = 89.0000000000001 # integer-like
d = -7.0 # negative integer-like
e = 3.14 # floating-point
# Run checks
print_check(a)
print_check(b)
print_check(c)
print_check(d)
print_check(e)
end
main
=begin
run:
Checking value: 42.000000000000000
Result: The value contains an integer.
Checking value: 42.000000000009997
Result: The value contains a floating‑point number.
Checking value: 89.000000000000099
Result: The value contains an integer.
Checking value: -7.000000000000000
Result: The value contains an integer.
Checking value: 3.140000000000000
Result: The value contains a floating‑point number.
=end
