# Tests the functions imported from math

try:
 from math import *
except ImportError:
 print("SKIP")
 raise SystemExit

test_values = [-100.0, -1.23456, -1, -0.5, 0.0, 0.5, 1.23456, 100.0]
test_values_small = [
 -10.0,
 -1.23456,
 -1,
 -0.5,
 0.0,
 0.5,
 1.23456,
 10.0,
] # so we don't overflow 32-bit precision
unit_range_test_values = [-1.0, -0.75, -0.5, -0.25, 0.0, 0.25, 0.5, 0.75, 1.0]

functions = [
 ("sqrt", sqrt, test_values),
 ("exp", exp, test_values_small),
 ("log", log, test_values),
 ("cos", cos, test_values),
 ("sin", sin, test_values),
 ("tan", tan, test_values),
 ("acos", acos, unit_range_test_values),
 ("asin", asin, unit_range_test_values),
 ("atan", atan, test_values),
 ("ceil", ceil, test_values),
 ("fabs", fabs, test_values),
 ("floor", floor, test_values),
 ("trunc", trunc, test_values),
 ("radians", radians, test_values),
 ("degrees", degrees, test_values),
]

for function_name, function, test_vals in functions:
 print(function_name)
 for value in test_vals:
 try:
 print("{:.5g}".format(function(value)))
 except ValueError as e:
 print(str(e))

tuple_functions = [
 ("frexp", frexp, test_values),
 ("modf", modf, test_values),
]

for function_name, function, test_vals in tuple_functions:
 print(function_name)
 for value in test_vals:
 x, y = function(value)
 print("{:.5g} {:.5g}".format(x, y))

binary_functions = [
 (
 "copysign",
 copysign,
 [(23.0, 42.0), (-23.0, 42.0), (23.0, -42.0), (-23.0, -42.0), (1.0, 0.0), (1.0, -0.0)],
 ),
 ("pow", pow, ((1.0, 0.0), (0.0, 1.0), (2.0, 0.5), (-3.0, 5.0), (-3.0, -4.0))),
 ("atan2", atan2, ((1.0, 0.0), (0.0, 1.0), (2.0, 0.5), (-3.0, 5.0), (-3.0, -4.0))),
 ("fmod", fmod, ((1.0, 1.0), (0.0, 1.0), (2.0, 0.5), (-3.0, 5.0), (-3.0, -4.0))),
 ("ldexp", ldexp, ((1.0, 0), (0.0, 1), (2.0, 2), (3.0, -2), (-3.0, -4))),
 (
 "log",
 log,
 (
 (2.0, 2.0),
 (3.0, 2.0),
 (4.0, 5.0),
 (0.0, 1.0),
 (1.0, 0.0),
 (-1.0, 1.0),
 (1.0, -1.0),
 (2.0, 1.0),
 ),
 ),
]

for function_name, function, test_vals in binary_functions:
 print(function_name)
 for value1, value2 in test_vals:
 try:
 print("{:.5g}".format(function(value1, value2)))
 except (ValueError, ZeroDivisionError) as e:
 print(type(e))