Python cmath.cos() Examples

The following are 14 code examples of cmath.cos(). You can vote up the ones you like or vote down the ones you don't like, and go to the original project or source file by following the links above each example. You may also want to check out all available functions/classes of the module cmath , or try the search function .
Example #1
Source File: math_functions.py    From jhTAlib with GNU General Public License v3.0 5 votes vote down vote up
def COS(df, price='Close'):
    """
    Cosine
    Returns: list of floats = jhta.COS(df, price='Close')
    """
    return [cmath.cos(df[price][i]).real for i in range(len(df[price]))] 
Example #2
Source File: test_cmath_jy.py    From medicare-demo with Apache License 2.0 5 votes vote down vote up
def test_cos(self):
        self.assertAlmostEqual(complex(-27.03495, -3.851153),
                               cmath.cos(complex(3, 4))) 
Example #3
Source File: test_cmath_jy.py    From CTFCrackTools-V2 with GNU General Public License v3.0 5 votes vote down vote up
def test_cos(self):
        self.assertAlmostEqual(complex(-27.03495, -3.851153),
                               cmath.cos(complex(3, 4))) 
Example #4
Source File: test_functions.py    From altanalyze with Apache License 2.0 5 votes vote down vote up
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)) 
Example #5
Source File: test_functions.py    From altanalyze with Apache License 2.0 5 votes vote down vote up
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) 
Example #6
Source File: test_functions.py    From altanalyze with Apache License 2.0 5 votes vote down vote up
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)) 
Example #7
Source File: test_functions.py    From altanalyze with Apache License 2.0 5 votes vote down vote up
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) 
Example #8
Source File: test_functions.py    From altanalyze with Apache License 2.0 5 votes vote down vote up
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)) 
Example #9
Source File: math2.py    From altanalyze with Apache License 2.0 5 votes vote down vote up
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) 
Example #10
Source File: math2.py    From altanalyze with Apache License 2.0 5 votes vote down vote up
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) 
Example #11
Source File: math2.py    From altanalyze with Apache License 2.0 5 votes vote down vote up
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) 
Example #12
Source File: math2.py    From altanalyze with Apache License 2.0 5 votes vote down vote up
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) 
Example #13
Source File: test_cmath_jy.py    From CTFCrackTools with GNU General Public License v3.0 5 votes vote down vote up
def test_cos(self):
        self.assertAlmostEqual(complex(-27.03495, -3.851153),
                               cmath.cos(complex(3, 4))) 
Example #14
Source File: test_functions.py    From altanalyze with Apache License 2.0 4 votes vote down vote up
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