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test_math.py
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from math import (factorial, isqrt, perm, comb, degrees, radians, exp, pow,
ldexp, fabs, gcd, lcm, floor, ceil, remainder, expm1, fmod, log1p, trunc,
modf, fsum, prod, dist, frexp, isclose)
import math
from lpython import i8, i16, i32, i64, f32, f64
eps: f64
eps = 1e-12
def test_factorial_1():
i: i64
i = factorial(i64(10))
assert i == i64(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():
eps: f64
eps = 1e-12
x: f64
x = 2.4
y: f64
y = 4.3
assert abs(pow(x, y) - 43.14280115650323) < eps
a: i64
a = i64(2)
b: i64
b = i64(4)
assert pow(a, b) == i64(16)
def test_ldexp():
i: f64
i = ldexp(23.3, 2)
assert abs(i - 93.2) < eps
def test_fabs():
eps: f64
eps = 1e-12
i: f64
j: f64
i = -10.5
j = -7.0
assert fabs(i + fabs(j)) == 3.5
assert abs(fabs(10) - fabs(-10)) < eps
assert abs(fabs(10.3) - fabs(-10.3)) < eps
assert fabs(0.5) == 0.5
assert fabs(-5) == 5.0
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 == i64(10)
i = floor(-i64(13))
assert i == -i64(13)
i = floor(-13.31)
assert i == -i64(14)
def test_ceil():
i: i64
i = ceil(10.02)
assert i == i64(11)
i = ceil(-i64(13))
assert i == -i64(13)
i = ceil(-13.31)
assert i == -i64(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 == i64(3)
i = trunc(-4.5)
assert i == -i64(4)
i = trunc(5.5)
assert i == i64(5)
i = trunc(-4.5)
assert i == -i64(4)
def test_fsum():
res: f64
eps: f64 = 1e-12
arr_i32: list[i32]
arr_i32 = [6, 12]
res = fsum(arr_i32)
assert abs(res - 18.0) < eps
a: i64 = i64(12)
b: i64 = i64(6)
arr_i64: list[i64]
arr_i64 = [a, b]
res = fsum(arr_i64)
assert abs(res - 18.0) < eps
x: f32 = f32(12.5)
y: f32 = f32(6.5)
arr_f32: list[f32]
arr_f32 = [x, y]
res = fsum(arr_f32)
assert abs(res - 19.0) < eps
arr_f64: list[f64]
arr_f64 = [12.6, 6.4]
res = fsum(arr_f64)
assert abs(res - 19.0) < eps
def test_prod():
res: f64
eps: f64 = 1e-12
arr_i32: list[i32]
arr_i32 = [6, 12]
res = prod(arr_i32)
assert abs(res - 72.0) < eps
a: i64 = i64(12)
b: i64 = i64(6)
arr_i64: list[i64]
arr_i64 = [a, b]
res = prod(arr_i64)
assert abs(res - 72.0) < eps
x: f32 = f32(12.5)
y: f32 = f32(6.5)
arr_f32: list[f32]
arr_f32 = [x, y]
res = prod(arr_f32)
assert abs(res - 81.25) < eps
arr_f64: list[f64]
arr_f64 = [12.6, 6.4]
res = prod(arr_f64)
assert abs(res - 80.64) < eps
def test_dist():
x: list[f64]
y: list[f64]
eps: f64 = 1e-12
x = [1.0, 2.2, 3.333, 4.0, 5.0]
y = [6.1, 7.2, 8.0, 9.0, 10.0]
assert abs(dist(x, y) - 11.081105044173166) < eps
def test_modf():
i: f64
i = 3.14
res: tuple[f64, f64]
res = modf(i)
assert abs(res[0] - 0.14) <= 1e-6
assert abs(res[1] - 3.0) <= 1e-6
i = -442.3
res = modf(i)
assert abs(res[0] + 0.3) <= 1e-6
assert abs(res[1] + 442.0) <= 1e-6
def test_issue_1242():
assert abs(math.pi - 3.14159265358979323846) < 1e-10
assert abs(math.e - 2.7182818284590452353) < 1e-10
# https://github.com/lcompilers/lpython/pull/1243#discussion_r1008810444
pi: f64 = 8.4603959020429502
assert abs(pi - 8.4603959020429502) < 1e-10
assert abs(math.pi - 3.14159265358979323846) < 1e-10
assert abs(math.pi - 3.14159265358979323846) < 1e-10
def test_frexp():
x:f64 = 6.23
mantissa:f64
exponent:i16
mantissa, exponent = frexp(x)
assert abs(mantissa - 0.77875) < eps and exponent == i16(3)
x = 0.8
mantissa, exponent = frexp(x)
assert abs(mantissa - 0.8) < eps and exponent == i16(0)
x = 19.74
mantissa, exponent = frexp(x)
assert abs(mantissa - 0.616875) < eps and exponent == i16(5)
x = -23.6
mantissa, exponent = frexp(x)
assert abs(mantissa + 0.7375) < eps and exponent == i16(5)
y:f32 = f32(1.23)
mantissa2:f32
exponent2:i8
mantissa2, exponent2 = frexp(y)
assert abs(mantissa2 - f32(0.615)) < f32(eps) and exponent2 == i8(1)
y = f32(-1.23)
mantissa2, exponent2 = frexp(y)
assert abs(mantissa2 - f32(-0.615)) < f32(eps) and exponent2 == i8(1)
def test_isclose():
x:f64 = 2.2130
y:f64 = 2.2129
assert isclose(x, y, rel_tol=0.01, abs_tol=0.001)
assert isclose(x,y,rel_tol=0.0000001,abs_tol=0.01)
assert isclose(x,y,rel_tol=0.1,abs_tol=0.000001)
assert not isclose(x,y,rel_tol=0.0000001,abs_tol=0.00001)
x = -1.265
y = 1.265
assert not isclose(x,y,rel_tol=0.001,abs_tol=0.0001)
assert not isclose(y,x,rel_tol=0.01,abs_tol=0.1)
assert not isclose(x,y,rel_tol=0.01,abs_tol=0.1)
x = -1.2650
y = -1.2651
assert isclose(x, y, rel_tol=0.01, abs_tol=0.001)
assert isclose(x,y,rel_tol=0.0000001,abs_tol=0.01)
assert isclose(x,y,rel_tol=0.1,abs_tol=0.000001)
assert not isclose(x,y,rel_tol=0.0000001,abs_tol=0.00001)
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()
test_fsum()
test_prod()
test_dist()
test_modf()
test_issue_1242()
test_frexp()
test_isclose()
check()