# Tests the functions imported from math

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

test_values = [-100., -1.23456, -1, -0.5, 0.0, 0.5, 1.23456, 100.]
test_values_small = [-10., -1.23456, -1, -0.5, 0.0, 0.5, 1.23456, 10.] # so we don't overflow 32-bit precision
unit_range_test_values = [-1., -0.75, -0.5, -0.25, 0., 0.25, 0.5, 0.75, 1.]

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., 42.), (-23., 42.), (23., -42.),
 (-23., -42.), (1., 0.0), (1., -0.0)]),
 ('pow', pow, ((1., 0.), (0., 1.), (2., 0.5), (-3., 5.), (-3., -4.),)),
 ('atan2', atan2, ((1., 0.), (0., 1.), (2., 0.5), (-3., 5.), (-3., -4.),)),
 ('fmod', fmod, ((1., 1.), (0., 1.), (2., 0.5), (-3., 5.), (-3., -4.),)),
 ('ldexp', ldexp, ((1., 0), (0., 1), (2., 2), (3., -2), (-3., -4),)),
 ('log', log, ((2., 2.), (3., 2.), (4., 5.), (0., 1.), (1., 0.), (-1., 1.), (1., -1.), (2., 1.))),
 ]

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))