我们从Python开源项目中，提取了以下27个代码示例，用于说明如何使用cmath.atan()。
def test_atan(): mp.dps = 15 assert atan(-2.3).ae(math.atan(-2.3)) assert atan(1e-50) == 1e-50 assert atan(1e50).ae(pi/2) assert atan(-1e-50) == -1e-50 assert atan(-1e50).ae(-pi/2) assert atan(10**1000).ae(pi/2) for dps in [25, 70, 100, 300, 1000]: mp.dps = dps assert (4*atan(1)).ae(pi) mp.dps = 15 pi2 = pi/2 assert atan(mpc(inf,-1)).ae(pi2) assert atan(mpc(inf,0)).ae(pi2) assert atan(mpc(inf,1)).ae(pi2) assert atan(mpc(1,inf)).ae(pi2) assert atan(mpc(0,inf)).ae(pi2) assert atan(mpc(-1,inf)).ae(-pi2) assert atan(mpc(-inf,1)).ae(-pi2) assert atan(mpc(-inf,0)).ae(-pi2) assert atan(mpc(-inf,-1)).ae(-pi2) assert atan(mpc(-1,-inf)).ae(-pi2) assert atan(mpc(0,-inf)).ae(-pi2) assert atan(mpc(1,-inf)).ae(pi2)
def ATAN(df, price='Close'): """ Arc Tangent """ atan_list = [] i = 0 while i < len(df[price]): atan = cmath.atan(df[price][i]).real atan_list.append(atan) i += 1 return atan_list
def test_complex_inverse_functions(): mp.dps = 15 iv.dps = 15 for (z1, z2) in random_complexes(30): # apparently cmath uses a different branch, so we # can't use it for comparison assert sinh(asinh(z1)).ae(z1) # assert acosh(z1).ae(cmath.acosh(z1)) assert atanh(z1).ae(cmath.atanh(z1)) assert atan(z1).ae(cmath.atan(z1)) # the reason we set a big eps here is that the cmath # functions are inaccurate assert asin(z1).ae(cmath.asin(z1), rel_eps=1e-12) assert acos(z1).ae(cmath.acos(z1), rel_eps=1e-12) one = mpf(1) for i in range(-9, 10, 3): for k in range(-9, 10, 3): a = 0.9*j*10**k + 0.8*one*10**i b = cos(acos(a)) assert b.ae(a) b = sin(asin(a)) assert b.ae(a) one = mpf(1) err = 2*10**-15 for i in range(-9, 9, 3): for k in range(-9, 9, 3): a = -0.9*10**k + j*0.8*one*10**i b = cosh(acosh(a)) assert b.ae(a, err) b = sinh(asinh(a)) assert b.ae(a, err)
def testTanhSign(self): for z in complex_zeros: self.assertComplexIdentical(cmath.tanh(z), z) # The algorithm used for atan and atanh makes use of the system # log1p function; If that system function doesn't respect the sign # of zero, then atan and atanh will also have difficulties with # the sign of complex zeros.
def testAtanSign(self): for z in complex_zeros: self.assertComplexIdentical(cmath.atan(z), z)
def test_complex_inverse_functions(): for (z1, z2) in random_complexes(30): # apparently cmath uses a different branch, so we # can't use it for comparison assert sinh(asinh(z1)).ae(z1) # assert acosh(z1).ae(cmath.acosh(z1)) assert atanh(z1).ae(cmath.atanh(z1)) assert atan(z1).ae(cmath.atan(z1)) # the reason we set a big eps here is that the cmath # functions are inaccurate assert asin(z1).ae(cmath.asin(z1), rel_eps=1e-12) assert acos(z1).ae(cmath.acos(z1), rel_eps=1e-12) one = mpf(1) for i in range(-9, 10, 3): for k in range(-9, 10, 3): a = 0.9*j*10**k + 0.8*one*10**i b = cos(acos(a)) assert b.ae(a) b = sin(asin(a)) assert b.ae(a) one = mpf(1) err = 2*10**-15 for i in range(-9, 9, 3): for k in range(-9, 9, 3): a = -0.9*10**k + j*0.8*one*10**i b = cosh(acosh(a)) assert b.ae(a, err) b = sinh(asinh(a)) assert b.ae(a, err)
def test_perturbation_rounding(): mp.dps = 100 a = pi/10**50 b = -pi/10**50 c = 1 + a d = 1 + b mp.dps = 15 assert exp(a) == 1 assert exp(a, rounding='c') > 1 assert exp(b, rounding='c') == 1 assert exp(a, rounding='f') == 1 assert exp(b, rounding='f') < 1 assert cos(a) == 1 assert cos(a, rounding='c') == 1 assert cos(b, rounding='c') == 1 assert cos(a, rounding='f') < 1 assert cos(b, rounding='f') < 1 for f in [sin, atan, asinh, tanh]: assert f(a) == +a assert f(a, rounding='c') > a assert f(a, rounding='f') < a assert f(b) == +b assert f(b, rounding='c') > b assert f(b, rounding='f') < b for f in [asin, tan, sinh, atanh]: assert f(a) == +a assert f(b) == +b assert f(a, rounding='c') > a assert f(b, rounding='c') > b assert f(a, rounding='f') < a assert f(b, rounding='f') < b assert ln(c) == +a assert ln(d) == +b assert ln(c, rounding='c') > a assert ln(c, rounding='f') < a assert ln(d, rounding='c') > b assert ln(d, rounding='f') < b assert cosh(a) == 1 assert cosh(b) == 1 assert cosh(a, rounding='c') > 1 assert cosh(b, rounding='c') > 1 assert cosh(a, rounding='f') == 1 assert cosh(b, rounding='f') == 1
def test_cmath_matches_math(self): # check that corresponding cmath and math functions are equal # for floats in the appropriate range # test_values in (0, 1) test_values = [0.01, 0.1, 0.2, 0.5, 0.9, 0.99] # test_values for functions defined on [-1., 1.] unit_interval = test_values + [-x for x in test_values] + \ [0., 1., -1.] # test_values for log, log10, sqrt positive = test_values + [1.] + [1./x for x in test_values] nonnegative = [0.] + positive # test_values for functions defined on the whole real line real_line = [0.] + positive + [-x for x in positive] test_functions = { 'acos' : unit_interval, 'asin' : unit_interval, 'atan' : real_line, 'cos' : real_line, 'cosh' : real_line, 'exp' : real_line, 'log' : positive, 'log10' : positive, 'sin' : real_line, 'sinh' : real_line, 'sqrt' : nonnegative, 'tan' : real_line, 'tanh' : real_line} for fn, values in test_functions.items(): float_fn = getattr(math, fn) complex_fn = getattr(cmath, fn) for v in values: z = complex_fn(v) self.rAssertAlmostEqual(float_fn(v), z.real) self.assertEqual(0., z.imag) # test two-argument version of log with various bases for base in [0.5, 2., 10.]: for v in positive: z = cmath.log(v, base) self.rAssertAlmostEqual(math.log(v, base), z.real) self.assertEqual(0., z.imag)
