Python math.atanh() Examples

The following are 30 code examples of math.atanh(). 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 math , or try the search function .
Example #1
Source File: test_math.py    From ironpython2 with Apache License 2.0 7 votes vote down vote up 
def test_math_subclass(self):
        """verify subtypes of float/long work w/ math functions"""
        import math
        class myfloat(float): pass
        class mylong(long): pass

        mf = myfloat(1)
        ml = mylong(1)

        for x in math.log, math.log10, math.log1p, math.asinh, math.acosh, math.atanh, math.factorial, math.trunc, math.isinf:
            try:
                resf = x(mf)
            except ValueError:
                resf = None
            try:
                resl = x(ml)
            except ValueError:
                resl = None
            self.assertEqual(resf, resl)
Example #2
Source File: temporal.py    From vidaug with MIT License 6 votes vote down vote up 
def _get_distorted_indices(self, nb_images):
        inverse = random.randint(0, 1)

        if inverse:
            scale = random.random()
            scale *= 0.21
            scale += 0.6
        else:
            scale = random.random()
            scale *= 0.6
            scale += 0.8

        frames_per_clip = nb_images

        indices = np.linspace(-scale, scale, frames_per_clip).tolist()
        if inverse:
            values = [math.atanh(x) for x in indices]
        else:
            values = [math.tanh(x) for x in indices]

        values = [x / values[-1] for x in values]
        values = [int(round(((x + 1) / 2) * (frames_per_clip - 1), 0)) for x in values]
        return values
Example #3
Source File: macros.py    From pyth with MIT License 6 votes vote down vote up 
def trig(a, b=' '):
    if is_num(a) and isinstance(b, int):

        funcs = [math.sin, math.cos, math.tan,
                 math.asin, math.acos, math.atan,
                 math.degrees, math.radians,
                 math.sinh, math.cosh, math.tanh,
                 math.asinh, math.acosh, math.atanh]

        return funcs[b](a)

    if is_lst(a):
        width = max(len(row) for row in a)
        padded_matrix = [list(row) + (width - len(row)) * [b] for row in a]
        transpose = list(zip(*padded_matrix))
        if all(isinstance(row, str) for row in a) and isinstance(b, str):
            normalizer = ''.join
        else:
            normalizer = list
        norm_trans = [normalizer(padded_row) for padded_row in transpose]
        return norm_trans
    return unknown_types(trig, ".t", a, b)
Example #4
Source File: latitude.py    From pymap3d with BSD 2-Clause "Simplified" License 6 votes vote down vote up 
def geodetic2isometric_point(geodetic_lat: float, ell: Ellipsoid = None, deg: bool = True) -> float:
    geodetic_lat, ell = sanitize(geodetic_lat, ell, deg)

    e = ell.eccentricity

    if abs(geodetic_lat - pi / 2) <= 1e-9:
        isometric_lat = inf
    elif abs(-geodetic_lat - pi / 2) <= 1e-9:
        isometric_lat = -inf
    else:
        isometric_lat = asinh(tan(geodetic_lat)) - e * atanh(e * sin(geodetic_lat))
        # same results
        # a1 = e * sin(geodetic_lat)
        # y = (1 - a1) / (1 + a1)
        # a2 = pi / 4 + geodetic_lat / 2
        # isometric_lat = log(tan(a2) * (y ** (e / 2)))
        # isometric_lat = log(tan(a2)) + e/2 * log((1-e*sin(geodetic_lat)) / (1+e*sin(geodetic_lat)))

    return degrees(isometric_lat) if deg else isometric_lat
Example #5
Source File: generator.py    From tensor with MIT License 6 votes vote down vote up 
def get(self):
        self.x += self.config.get('dx', 0.1)

        val = eval(self.config.get('function', 'sin(x)'), {
            'sin': math.sin,
            'sinh': math.sinh,
            'cos': math.cos,
            'cosh': math.cosh,
            'tan': math.tan,
            'tanh': math.tanh,
            'asin': math.asin,
            'acos': math.acos,
            'atan': math.atan,
            'asinh': math.asinh,
            'acosh': math.acosh,
            'atanh': math.atanh,
            'log': math.log,
            'abs': abs,
            'e': math.e,
            'pi': math.pi,
            'x': self.x
        })

        return self.createEvent('ok', 'Sine wave', val)
Example #6
Source File: test_math.py    From ironpython3 with Apache License 2.0 6 votes vote down vote up 
def test_math_subclass(self):
        """verify subtypes of float/long work w/ math functions"""
        import math
        class myfloat(float): pass
        class mylong(long): pass

        mf = myfloat(1)
        ml = mylong(1)

        for x in math.log, math.log10, math.log1p, math.asinh, math.acosh, math.atanh, math.factorial, math.trunc, math.isinf:
            try:
                resf = x(mf)
            except ValueError:
                resf = None
            try:
                resl = x(ml)
            except ValueError:
                resl = None
            self.assertEqual(resf, resl)
Example #7
Source File: util.py    From hyperbolic with MIT License 5 votes vote down vote up 
def radialEuclidToPoincare(r):
    return 2 * math.atanh(r)
Example #8
Source File: test_math.py    From gcblue with BSD 3-Clause "New" or "Revised" License 5 votes vote down vote up 
def testAtanh(self):
        self.assertRaises(TypeError, math.atan)
        self.ftest('atanh(0)', math.atanh(0), 0)
        self.ftest('atanh(0.5)', math.atanh(0.5), 0.54930614433405489)
        self.ftest('atanh(-0.5)', math.atanh(-0.5), -0.54930614433405489)
        self.assertRaises(ValueError, math.atanh, 1)
        self.assertRaises(ValueError, math.atanh, -1)
        self.assertRaises(ValueError, math.atanh, INF)
        self.assertRaises(ValueError, math.atanh, NINF)
        self.assertTrue(math.isnan(math.atanh(NAN)))
Example #9
Source File: bllgamma.py    From flavio with MIT License 5 votes vote down vote up 
def dG2dsMN(s, par, B, ff, ff0, lep, wc):
    mlh = par['m_'+lep]/par['m_'+B]
    bq = meson_quark[B]
    label = bq+lep+lep
    pref = 16*prefactor(s, par, B, ff, lep, wc)*(par['f_'+B]/par['m_'+B]*abs(wc['C10_'+label])*mlh)**2/(1-s)
    return pref*(-8*sqrt(s-4*mlh**2)*sqrt(s)+4*atanh(sqrt(1-4*mlh**2/s))*(1+s-mlh**2*(1-s)**2))
Example #10
Source File: bllgamma.py    From flavio with MIT License 5 votes vote down vote up 
def dG12dsMN(s, par, B, ff, ff0, lep, wc):
    mlh = par['m_'+lep]/par['m_'+B]
    pref = 4*prefactor(s, par, B, ff, lep, wc)*par['f_'+B]/par['m_'+B]*(1-s)
    return pref*atanh(sqrt(1-4*mlh**2/s))*B120(s, par, B, ff, ff0, lep, wc)
Example #11
Source File: test_math.py    From Project-New-Reign---Nemesis-Main with GNU General Public License v3.0 5 votes vote down vote up 
def testAtanh(self):
        self.assertRaises(TypeError, math.atan)
        self.ftest('atanh(0)', math.atanh(0), 0)
        self.ftest('atanh(0.5)', math.atanh(0.5), 0.54930614433405489)
        self.ftest('atanh(-0.5)', math.atanh(-0.5), -0.54930614433405489)
        self.assertRaises(ValueError, math.atanh, 1)
        self.assertRaises(ValueError, math.atanh, -1)
        self.assertRaises(ValueError, math.atanh, INF)
        self.assertRaises(ValueError, math.atanh, NINF)
        self.assertTrue(math.isnan(math.atanh(NAN)))
Example #12
Source File: geomath.py    From qgis-shapetools-plugin with GNU General Public License v2.0 5 votes vote down vote up 
def atanh(x):
    """atanh(x) (missing from python 2.5.2)"""

    if sys.version_info > (2, 6):
      return math.atanh(x)

    y = abs(x)                  # Enforce odd parity
    y = Math.log1p(2 * y/(1 - y))/2
    return -y if x < 0 else y
Example #13
Source File: test_math.py    From CTFCrackTools with GNU General Public License v3.0 5 votes vote down vote up 
def testAtanh(self):
        self.assertRaises(TypeError, math.atan)
        self.ftest('atanh(0)', math.atanh(0), 0)
        self.ftest('atanh(0.5)', math.atanh(0.5), 0.54930614433405489)
        self.ftest('atanh(-0.5)', math.atanh(-0.5), -0.54930614433405489)
        self.assertRaises(ValueError, math.atanh, 1)
        self.assertRaises(ValueError, math.atanh, -1)
        self.assertRaises(ValueError, math.atanh, INF)
        self.assertRaises(ValueError, math.atanh, NINF)
        self.assertTrue(math.isnan(math.atanh(NAN)))
Example #14
Source File: Hypercycle.py    From hyperbolic with MIT License 5 votes vote down vote up 
def fromHypercycleOffset(cls, hcycle, offset, unit=Circle(0,0,1)):
        dh = offset #dh = math.asinh(offset/2)
        if isinstance(hcycle.projShape, Circle):
            # May throw if bad geometry
            x1, y1, x2, y2 = intersection.circleCircle(hcycle.projShape, unit)
            cx, cy = hcycle.projShape.cx, hcycle.projShape.cy
            r, cw = hcycle.projShape.r, hcycle.projShape.cw
            if cw:
                x1, y1, x2, y2 = x2, y2, x1, y1
            rc = math.hypot(cx, cy)
            deMid = rc - r
            dhMid = 2 * math.atanh(deMid)
            sign = -1 if cw else 1
            t = math.tanh((dhMid + sign*dh)/2)
            xOff, yOff = t * cx / rc, t * cy / rc
        else:
            # May throw if bad geometry
            x1, y1, x2, y2 = intersection.lineCircle(hcycle.projShape, unit)
            lineAng = math.atan2(y2-y1, x2-x1)
            mx, my = (x1+x2)/2, (y1+y2)/2  # Midpoint
            if util.nearZero(mx) and util.nearZero(my):
                ang = math.atan2(y2-y1, x2-x1) + math.pi/2
            else:
                ang = math.atan2(my, mx)
            # Test if the line goes clockwise around the origin
            cw = (ang - lineAng) % (math.pi*2) < math.pi
            rm = math.hypot(mx, my)
            deMid = rm
            dhMid = 2 * math.atanh(deMid)
            sign = 1 if cw else -1
            t = math.tanh((dhMid + sign*dh)/2)
            xOff, yOff = t * math.cos(ang), t * math.sin(ang)
        return cls.fromPoints(x1, y1, x2, y2, xOff, yOff, segment=False, excludeMid=False)
Example #15
Source File: Point.py    From hyperbolic with MIT License 5 votes vote down vote up 
def __init__(self, x, y, hr=None, theta=None):
        self.x = x
        self.y = y
        # Hyperbolic polar coordinates
        if theta is None:
            theta = math.atan2(y, x)
        if hr is None:
            r = math.hypot(x, y)
            if self.isIdeal():
                hr = float('inf')
            else:
                hr = 2 * math.atanh(r)
        self.theta = theta
        self.hr = hr
Example #16
Source File: test_math.py    From CTFCrackTools-V2 with GNU General Public License v3.0 5 votes vote down vote up 
def testAtanh(self):
        self.assertRaises(TypeError, math.atan)
        self.ftest('atanh(0)', math.atanh(0), 0)
        self.ftest('atanh(0.5)', math.atanh(0.5), 0.54930614433405489)
        self.ftest('atanh(-0.5)', math.atanh(-0.5), -0.54930614433405489)
        self.assertRaises(ValueError, math.atanh, 1)
        self.assertRaises(ValueError, math.atanh, -1)
        self.assertRaises(ValueError, math.atanh, INF)
        self.assertRaises(ValueError, math.atanh, NINF)
        self.assertTrue(math.isnan(math.atanh(NAN)))
Example #17
Source File: sugar.py    From hyper-engine with Apache License 2.0 5 votes vote down vote up 
def atanh(node): return merge([node], math.atanh)
Example #18
Source File: test_math.py    From android_universal with MIT License 5 votes vote down vote up 
def testAtanh(self):
        self.assertRaises(TypeError, math.atan)
        self.ftest('atanh(0)', math.atanh(0), 0)
        self.ftest('atanh(0.5)', math.atanh(0.5), 0.54930614433405489)
        self.ftest('atanh(-0.5)', math.atanh(-0.5), -0.54930614433405489)
        self.assertRaises(ValueError, math.atanh, 1)
        self.assertRaises(ValueError, math.atanh, -1)
        self.assertRaises(ValueError, math.atanh, INF)
        self.assertRaises(ValueError, math.atanh, NINF)
        self.assertTrue(math.isnan(math.atanh(NAN)))
Example #19
Source File: util.py    From exposure with MIT License 5 votes vote down vote up 
def tanh_range(l, r, initial=None):

  def get_activation(left, right, initial):

    def activation(x):
      if initial is not None:
        bias = math.atanh(2 * (initial - left) / (right - left) - 1)
      else:
        bias = 0
      return tanh01(x + bias) * (right - left) + left

    return activation

  return get_activation(l, r, initial)
Example #20
Source File: corrstats.py    From Azimuth with BSD 3-Clause "New" or "Revised" License 5 votes vote down vote up 
def rz_ci(r, n, conf_level = 0.95):
    zr_se = pow(1/(n - 3), .5)
    moe = norm.ppf(1 - (1 - conf_level)/float(2)) * zr_se
    zu = atanh(r) + moe
    zl = atanh(r) - moe
    return tanh((zl, zu))
Example #21
Source File: MathLib.py    From PyFlow with Apache License 2.0 5 votes vote down vote up 
def atanh(x=('FloatPin', 0.0), Result=(REF, ('BoolPin', False))):
        '''Return the inverse hyperbolic tangent of `x`.'''
        try:
            Result(True)
            return math.atanh(x)
        except:
            Result(False)
            return -1
Example #22
Source File: test_math.py    From ironpython3 with Apache License 2.0 5 votes vote down vote up 
def testAtanh(self):
        self.assertRaises(TypeError, math.atan)
        self.ftest('atanh(0)', math.atanh(0), 0)
        self.ftest('atanh(0.5)', math.atanh(0.5), 0.54930614433405489)
        self.ftest('atanh(-0.5)', math.atanh(-0.5), -0.54930614433405489)
        self.assertRaises(ValueError, math.atanh, 1)
        self.assertRaises(ValueError, math.atanh, -1)
        self.assertRaises(ValueError, math.atanh, INF)
        self.assertRaises(ValueError, math.atanh, NINF)
        self.assertTrue(math.isnan(math.atanh(NAN)))
Example #23
Source File: transverse_mercator.py    From Fluid-Designer with GNU General Public License v3.0 5 votes vote down vote up 
def fromGeographic(self, lat, lon):
        lat_rad = radians(lat)
        lon_rad = radians(lon)
        B = cos(lat_rad) * sin(lon_rad - self.lon_rad)
        x = self.radius * atanh(B)
        y = self.radius * (atan(tan(lat_rad) / cos(lon_rad - self.lon_rad)) - self.lat_rad)
        return x, y
Example #24
Source File: test_math.py    From Fluid-Designer with GNU General Public License v3.0 5 votes vote down vote up 
def testAtanh(self):
        self.assertRaises(TypeError, math.atan)
        self.ftest('atanh(0)', math.atanh(0), 0)
        self.ftest('atanh(0.5)', math.atanh(0.5), 0.54930614433405489)
        self.ftest('atanh(-0.5)', math.atanh(-0.5), -0.54930614433405489)
        self.assertRaises(ValueError, math.atanh, 1)
        self.assertRaises(ValueError, math.atanh, -1)
        self.assertRaises(ValueError, math.atanh, INF)
        self.assertRaises(ValueError, math.atanh, NINF)
        self.assertTrue(math.isnan(math.atanh(NAN)))
Example #25
Source File: Num.py    From hask with BSD 2-Clause "Simplified" License 5 votes vote down vote up 
def atanh(x):
    """
    atanh :: Floating a => a -> a
    """
    return Floating[x].atanh(x)
Example #26
Source File: Num.py    From hask with BSD 2-Clause "Simplified" License 5 votes vote down vote up 
def make_instance(typeclass, cls, pi, exp, sqrt, log, pow, logBase, sin,
            tan, cos, asin, atan, acos, sinh, tanh, cosh, asinh, atanh, acosh):
        attrs = {"pi":pi, "exp":exp, "sqrt":sqrt, "log":log, "pow":pow,
                "logBase":logBase, "sin":sin, "tan":tan, "cos":cos,
                "asin":asin, "atan":atan, "acos":acos, "sinh":sinh,
                "tanh":tanh, "cosh":cosh, "asinh":asinh, "atanh":atanh,
                "acosh":acosh}
        build_instance(Floating, cls, attrs)
        return
Example #27
Source File: MathTestCases.py    From ufora with Apache License 2.0 5 votes vote down vote up 
def test_pure_python_math_module(self):
        vals = [1, -.5, 1.5, 0, 0.0, -2, -2.2, .2]

        # not being tested: math.asinh, math.atanh, math.lgamma, math.erfc, math.acos
        def f():
            functions = [
                math.sqrt, math.cos, math.sin, math.tan, math.asin, math.atan,
                math.acosh, math.cosh, math.sinh, math.tanh, math.ceil,
                math.erf, math.exp, math.expm1, math.factorial, math.floor,
                math.log, math.log10, math.log1p
            ]
            tr = []
            for idx1 in range(len(vals)):
                v1 = vals[idx1]
                for funIdx in range(len(functions)):
                    function = functions[funIdx]
                    try:
                        tr = tr + [function(v1)]
                    except ValueError as ex:
                        pass

            return tr

        r1 = self.evaluateWithExecutor(f)
        r2 = f()
        self.assertGreater(len(r1), 100)
        self.assertTrue(numpy.allclose(r1, r2, 1e-6))
Example #28
Source File: pure_math.py    From ufora with Apache License 2.0 5 votes vote down vote up 
def __call__(self, val):
        if val >= 1:
            raise ValueError("math domain error")

        return __inline_fora(
            """fun(@unnamed_args:(val), *args) {
                   PyFloat(math.atanh(val.@m))
                   }"""
            )(val)
Example #29
Source File: test_convert_to_jit.py    From fastats with MIT License 5 votes vote down vote up 
def test_does_not_convert_math_builtins():
    for func in (math.atan2, math.atanh, math.degrees, math.exp, math.floor, math.log,
                 math.sin, math.sinh, math.tan, math.tanh):
        assert convert_to_jit(func) is func
Example #30
Source File: test_math.py    From oss-ftp with MIT License 5 votes vote down vote up 
def testAtanh(self):
        self.assertRaises(TypeError, math.atan)
        self.ftest('atanh(0)', math.atanh(0), 0)
        self.ftest('atanh(0.5)', math.atanh(0.5), 0.54930614433405489)
        self.ftest('atanh(-0.5)', math.atanh(-0.5), -0.54930614433405489)
        self.assertRaises(ValueError, math.atanh, 1)
        self.assertRaises(ValueError, math.atanh, -1)
        self.assertRaises(ValueError, math.atanh, INF)
        self.assertRaises(ValueError, math.atanh, NINF)
        self.assertTrue(math.isnan(math.atanh(NAN)))