Python cmath.sin方法代碼示例

# 需要導入模塊: import cmath [as 別名]
# 或者: from cmath import sin [as 別名]
def SIN(df, price='Close'):
    """
    Sine
    Returns: list of floats = jhta.SIN(df, price='Close')
    """
    return [cmath.sin(df[price][i]).real for i in range(len(df[price]))] 

# 需要導入模塊: import cmath [as 別名]
# 或者: from cmath import sin [as 別名]
def test_sin(self):
        self.assertAlmostEqual(complex(3.853738, -27.01681),
                               cmath.sin(complex(3, 4))) 

# 需要導入模塊: import cmath [as 別名]
# 或者: from cmath import sin [as 別名]
def test_trig_hyperb_basic():
    for x in (list(range(100)) + list(range(-100,0))):
        t = x / 4.1
        assert cos(mpf(t)).ae(math.cos(t))
        assert sin(mpf(t)).ae(math.sin(t))
        assert tan(mpf(t)).ae(math.tan(t))
        assert cosh(mpf(t)).ae(math.cosh(t))
        assert sinh(mpf(t)).ae(math.sinh(t))
        assert tanh(mpf(t)).ae(math.tanh(t))
    assert sin(1+1j).ae(cmath.sin(1+1j))
    assert sin(-4-3.6j).ae(cmath.sin(-4-3.6j))
    assert cos(1+1j).ae(cmath.cos(1+1j))
    assert cos(-4-3.6j).ae(cmath.cos(-4-3.6j)) 

# 需要導入模塊: import cmath [as 別名]
# 或者: from cmath import sin [as 別名]
def test_degrees():
    assert cos(0*degree) == 1
    assert cos(90*degree).ae(0)
    assert cos(180*degree).ae(-1)
    assert cos(270*degree).ae(0)
    assert cos(360*degree).ae(1)
    assert sin(0*degree) == 0
    assert sin(90*degree).ae(1)
    assert sin(180*degree).ae(0)
    assert sin(270*degree).ae(-1)
    assert sin(360*degree).ae(0) 

# 需要導入模塊: import cmath [as 別名]
# 或者: from cmath import sin [as 別名]
def test_complex_functions():
    for x in (list(range(10)) + list(range(-10,0))):
        for y in (list(range(10)) + list(range(-10,0))):
            z = complex(x, y)/4.3 + 0.01j
            assert exp(mpc(z)).ae(cmath.exp(z))
            assert log(mpc(z)).ae(cmath.log(z))
            assert cos(mpc(z)).ae(cmath.cos(z))
            assert sin(mpc(z)).ae(cmath.sin(z))
            assert tan(mpc(z)).ae(cmath.tan(z))
            assert sinh(mpc(z)).ae(cmath.sinh(z))
            assert cosh(mpc(z)).ae(cmath.cosh(z))
            assert tanh(mpc(z)).ae(cmath.tanh(z)) 

# 需要導入模塊: import cmath [as 別名]
# 或者: from cmath import sin [as 別名]
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) 

# 需要導入模塊: import cmath [as 別名]
# 或者: from cmath import sin [as 別名]
def test_mpcfun_real_imag():
    mp.dps = 15
    x = mpf(0.3)
    y = mpf(0.4)
    assert exp(mpc(x,0)) == exp(x)
    assert exp(mpc(0,y)) == mpc(cos(y),sin(y))
    assert cos(mpc(x,0)) == cos(x)
    assert sin(mpc(x,0)) == sin(x)
    assert cos(mpc(0,y)) == cosh(y)
    assert sin(mpc(0,y)) == mpc(0,sinh(y))
    assert cospi(mpc(x,0)) == cospi(x)
    assert sinpi(mpc(x,0)) == sinpi(x)
    assert cospi(mpc(0,y)).ae(cosh(pi*y))
    assert sinpi(mpc(0,y)).ae(mpc(0,sinh(pi*y)))
    c, s = cospi_sinpi(mpc(x,0))
    assert c == cospi(x)
    assert s == sinpi(x)
    c, s = cospi_sinpi(mpc(0,y))
    assert c.ae(cosh(pi*y))
    assert s.ae(mpc(0,sinh(pi*y)))
    c, s = cos_sin(mpc(x,0))
    assert c == cos(x)
    assert s == sin(x)
    c, s = cos_sin(mpc(0,y))
    assert c == cosh(y)
    assert s == mpc(0,sinh(y)) 

# 需要導入模塊: import cmath [as 別名]
# 或者: from cmath import sin [as 別名]
def _sinpi_real(x):
    if x < 0:
        return -_sinpi_real(-x)
    n, r = divmod(x, 0.5)
    r *= pi
    n %= 4
    if n == 0: return math.sin(r)
    if n == 1: return math.cos(r)
    if n == 2: return -math.sin(r)
    if n == 3: return -math.cos(r) 

# 需要導入模塊: import cmath [as 別名]
# 或者: from cmath import sin [as 別名]
def _cospi_real(x):
    if x < 0:
        x = -x
    n, r = divmod(x, 0.5)
    r *= pi
    n %= 4
    if n == 0: return math.cos(r)
    if n == 1: return -math.sin(r)
    if n == 2: return -math.cos(r)
    if n == 3: return math.sin(r) 

# 需要導入模塊: import cmath [as 別名]
# 或者: from cmath import sin [as 別名]
def _sinpi_complex(z):
    if z.real < 0:
        return -_sinpi_complex(-z)
    n, r = divmod(z.real, 0.5)
    z = pi*complex(r, z.imag)
    n %= 4
    if n == 0: return cmath.sin(z)
    if n == 1: return cmath.cos(z)
    if n == 2: return -cmath.sin(z)
    if n == 3: return -cmath.cos(z) 

# 需要導入模塊: import cmath [as 別名]
# 或者: from cmath import sin [as 別名]
def _cospi_complex(z):
    if z.real < 0:
        z = -z
    n, r = divmod(z.real, 0.5)
    z = pi*complex(r, z.imag)
    n %= 4
    if n == 0: return cmath.cos(z)
    if n == 1: return -cmath.sin(z)
    if n == 2: return -cmath.cos(z)
    if n == 3: return cmath.sin(z) 

# 需要導入模塊: import cmath [as 別名]
# 或者: from cmath import sin [as 別名]
def test_cospi_sinpi():
    assert sinpi(0) == 0
    assert sinpi(0.5) == 1
    assert sinpi(1) == 0
    assert sinpi(1.5) == -1
    assert sinpi(2) == 0
    assert sinpi(2.5) == 1
    assert sinpi(-0.5) == -1
    assert cospi(0) == 1
    assert cospi(0.5) == 0
    assert cospi(1) == -1
    assert cospi(1.5) == 0
    assert cospi(2) == 1
    assert cospi(2.5) == 0
    assert cospi(-0.5) == 0
    assert cospi(100000000000.25).ae(sqrt(2)/2)
    a = cospi(2+3j)
    assert a.real.ae(cos((2+3j)*pi).real)
    assert a.imag == 0
    b = sinpi(2+3j)
    assert b.imag.ae(sin((2+3j)*pi).imag)
    assert b.real == 0
    mp.dps = 35
    x1 = mpf(10000) - mpf('1e-15')
    x2 = mpf(10000) + mpf('1e-15')
    x3 = mpf(10000.5) - mpf('1e-15')
    x4 = mpf(10000.5) + mpf('1e-15')
    x5 = mpf(10001) - mpf('1e-15')
    x6 = mpf(10001) + mpf('1e-15')
    x7 = mpf(10001.5) - mpf('1e-15')
    x8 = mpf(10001.5) + mpf('1e-15')
    mp.dps = 15
    M = 10**15
    assert (sinpi(x1)*M).ae(-pi)
    assert (sinpi(x2)*M).ae(pi)
    assert (cospi(x3)*M).ae(pi)
    assert (cospi(x4)*M).ae(-pi)
    assert (sinpi(x5)*M).ae(pi)
    assert (sinpi(x6)*M).ae(-pi)
    assert (cospi(x7)*M).ae(-pi)
    assert (cospi(x8)*M).ae(pi)
    assert 0.999 < cospi(x1, rounding='d') < 1
    assert 0.999 < cospi(x2, rounding='d') < 1
    assert 0.999 < sinpi(x3, rounding='d') < 1
    assert 0.999 < sinpi(x4, rounding='d') < 1
    assert -1 < cospi(x5, rounding='d') < -0.999
    assert -1 < cospi(x6, rounding='d') < -0.999
    assert -1 < sinpi(x7, rounding='d') < -0.999
    assert -1 < sinpi(x8, rounding='d') < -0.999
    assert (sinpi(1e-15)*M).ae(pi)
    assert (sinpi(-1e-15)*M).ae(-pi)
    assert cospi(1e-15) == 1
    assert cospi(1e-15, rounding='d') < 1