from math import (factorial, isqrt, perm, comb, degrees, radians, exp, pow,

ldexp, fabs, gcd, lcm, floor, ceil, remainder, expm1, fmod, log1p, trunc)

from ltypes import i32, f64, i64

eps: f64

eps = 1e-12

def test_factorial_1():

i: i32

i = factorial(10)

assert i == 3628800

def test_comb():

i: i32

i = comb(10, 2)

assert i == 45

def test_perm():

i: i32

i = perm(5, 2)

assert i == 20

def test_isqrt():

i: i32

i = isqrt(15)

assert i == 3

def test_degrees():

i: f64

# Check for integer

i = degrees(32)

assert abs(i - 1833.4649444186343) < eps

# Check for float

i = degrees(32.2)

assert abs(i - 1844.924100321251) < eps

def test_radians():

i: f64

# Check for integer

i = radians(100)

assert abs(i - 1.7453292519943295) < eps

# Check for float

i = radians(100.1)

assert abs(i - 1.7470745812463238) < eps

def test_exp():

i: f64

i = exp(2.34)

assert abs(i - 10.381236562731843) < eps

def test_pow():

i: f64

i = pow(2.4, 4.3)

assert abs(i - 43.14280115650323) < eps

def test_ldexp():

i: f64

i = ldexp(23.3, 2)

assert abs(i - 93.2) < eps

def test_fabs():

i: f64

j: f64

eps: f64

eps = 1e-12

i = fabs(10.3)

j = fabs(-10.3)

assert abs(i - j) < eps

def test_gcd():

i: i32

i = gcd(10, 4)

assert i == 2

i = gcd(21, 14)

assert i == 7

i = gcd(21, -12)

assert i == 3

def test_lcm():

i: i32

i = lcm(10, 4)

assert i == 20

i = lcm(21, 14)

assert i == 42

i = lcm(21, -12)

assert i == 84

def test_floor():

i: i64

i = floor(10.02)

assert i == 10

i = floor(-13)

assert i == -13

i = floor(-13.31)

assert i == -14

def test_ceil():

i: i64

i = ceil(10.02)

assert i == 11

i = ceil(-13)

assert i == -13

i = ceil(-13.31)

assert i == -13

def test_remainder():

assert remainder(9.0, 3.0) == 0.0

assert remainder(12.0, 5.0) == 2.0

assert remainder(13.0, 5.0) == -2.0

def test_fmod():

assert fmod(20.5, 2.5) == 0.5

assert fmod(-20.5, 2.5) == -0.5

def test_log1p():

assert log1p(1.0) - 0.69314718055994529 < eps

def test_expm1():

assert expm1(1.0) - 1.71828182845904509 < eps

def test_trunc():

i: i64

i = trunc(3.5)

assert i == 3

i = trunc(-4.5)

assert i == -4

i = trunc(5.5)

assert i == 5

i = trunc(-4.5)

assert i == -4

def check():

test_factorial_1()

test_comb()

test_isqrt()

test_perm()

test_degrees()

test_radians()

test_exp()

test_pow()

test_fabs()

test_ldexp()

test_gcd()

test_lcm()

test_floor()

test_ceil()

test_remainder()

test_fmod()

test_expm1()

test_log1p()

test_trunc()

check()