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func main()
# Basic arithmetic
n := 1.5
assert n == 1.5
assert n + n == 3.0
assert n * 2. == 3.0
assert n - n == 0.0
assert n / 2. == 0.75
# Exact rational arithmetic
third := 1. / 3.
assert third * 3. == 1.
assert (third + third + third) == 1.
# Decimal representation
assert 0.1 + 0.2 == 0.3
assert Text(0.1 + 0.2) == "0.3"
# Fraction representation
assert Text(1. / 3.) == "1/3"
assert Text(5. / 7.) == "5/7"
# Terminating decimals
assert Text(3. / 4.) == "0.75"
assert Text(1. / 8.) == "0.125"
# Square root
assert (4.).sqrt() == 2.
assert (9.).sqrt() == 3.
assert (1. / 4.).sqrt() == 1. / 2.
# Symbolic sqrt simplification
sqrt2 := (2.).sqrt()
assert (sqrt2 * sqrt2) == 2.
# Rounding
assert sqrt2.rounded_to(0.01) == 1.41
assert sqrt2.rounded_to(0.001) == 1.414
assert (1234.).rounded_to(100.) == 1200.
assert (1250.).rounded_to(100.) == 1300.
# Trigonometric functions
assert (0.).sin() == 0.
assert (0.).cos() == 1.
assert (0.).tan() == 0.
# Exponential and logarithm
assert (0.).exp() == 1.
# Absolute value
assert (-5.).abs() == 5.
assert (5.).abs() == 5.
assert (-3. / 4.).abs() == 3. / 4.
# Floor and ceiling
assert (2.7).floor() == 2.
assert (2.3).floor() == 2.
assert (-2.3).floor() == -3.
assert (2.3).ceil() == 3.
assert (2.7).ceil() == 3.
assert (-2.3).ceil() == -2.
# Floor/ceil on rationals
assert (7. / 3.).floor() == 2.
assert (7. / 3.).ceil() == 3.
assert (-7. / 3.).floor() == -3.
assert (-7. / 3.).ceil() == -2.
# Modulo
assert 7. mod 3. == 1.
assert -7. mod 3. == 2. # Euclidean division
assert 7. mod -3. == 1.
assert 2.5 mod 1.0 == 0.5
# Mod1
assert 3.7 mod1 2. == 1.7
# Mix (linear interpolation)
assert (0.25).mix(10., 20.) == 12.5
assert (0.0).mix(10., 20.) == 10.
assert (1.0).mix(10., 20.) == 20.
assert (0.5).mix(10., 20.) == 15.
# Is between
assert (5.).is_between(1., 10.)
assert (1.).is_between(1., 10.)
assert (10.).is_between(1., 10.)
assert (0.).is_between(1., 10.) == no
assert (11.).is_between(1., 10.) == no
# Clamped
assert (5.).clamped(1., 10.) == 5.
assert (0.).clamped(1., 10.) == 1.
assert (15.).clamped(1., 10.) == 10.
assert (1.).clamped(1., 10.) == 1.
assert (10.).clamped(1., 10.) == 10.
# Comparison
assert 3. > 2.
assert 2. < 3.
assert 3. >= 3.
assert 3. <= 3.
assert (1. / 3.) < (1. / 2.)
# Negation
assert -(5.) == -5.
assert -(1. / 3.) == -1. / 3.
# Power
assert (2.).power(3.) == 8.
assert (2.).power(0.) == 1.
# Parsing
assert Real.parse("123") == 123.
assert Real.parse("1.5") == 1.5
assert Real.parse("0.3333333333333333") == 0.3333333333333333
assert Real.parse("-5") == -5.
assert Real.parse("-2.5") == -2.5
# None handling
none_real : Real? = none
assert none_real == none
assert Real.parse("not_a_number") == none
assert Real.parse("") == none
# Large integers
big := (99999999999999999999999999999999.)
assert big + 1. == (100000000000000000000000000000000.)
# Mixed operations preserve exactness
result := 1. / 3. + 2. / 3.
assert result == 1.
# Symbolic expressions maintain structure
expr := sqrt2 + 1.
assert Text(expr) == "(sqrt(2) + 1)"
print("All Real tests passed!")
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