Python math.acosh() Examples

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) 

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) 

def testAcoshFunction(self):
        ma5 = MovingAverage(5, 'close')
        holder = Acosh(ma5)

        sampleClose = np.cosh(self.sampleClose)

        for i, close in enumerate(sampleClose):
            data = {'close': close}
            ma5.push(data)
            holder.push(data)

            expected = math.acosh(ma5.result())
            calculated = holder.result()
            self.assertAlmostEqual(calculated, expected, 12, "at index {0:d}\n"
                                                             "expected:   {1:f}\n"
                                                             "calculated: {2:f}".format(i, expected, calculated)) 

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) 

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) 

def hyperbolic_distance(x, y):
    t1 = minkowski(x, y)
    t2 = minkowski(x, x)
    t3 = minkowski(y, y)
    return (2 * math.acosh(((t1 * t1) / (t2 * t3))**2)) 

def check_sendall_interrupted(self, with_timeout):
        # socketpair() is not strictly required, but it makes things easier.
        if not hasattr(signal, 'alarm') or not hasattr(socket, 'socketpair'):
            self.skipTest("signal.alarm and socket.socketpair required for this test")
        # Our signal handlers clobber the C errno by calling a math function
        # with an invalid domain value.
        def ok_handler(*args):
            self.assertRaises(ValueError, math.acosh, 0)
        def raising_handler(*args):
            self.assertRaises(ValueError, math.acosh, 0)
            1 // 0
        c, s = socket.socketpair()
        old_alarm = signal.signal(signal.SIGALRM, raising_handler)
        try:
            if with_timeout:
                # Just above the one second minimum for signal.alarm
                c.settimeout(1.5)
            with self.assertRaises(ZeroDivisionError):
                signal.alarm(1)
                c.sendall(b"x" * test_support.SOCK_MAX_SIZE)
            if with_timeout:
                signal.signal(signal.SIGALRM, ok_handler)
                signal.alarm(1)
                self.assertRaises(socket.timeout, c.sendall,
                                  b"x" * test_support.SOCK_MAX_SIZE)
        finally:
            signal.alarm(0)
            signal.signal(signal.SIGALRM, old_alarm)
            c.close()
            s.close() 

def testAcosh(self):
        self.assertRaises(TypeError, math.acosh)
        self.ftest('acosh(1)', math.acosh(1), 0)
        self.ftest('acosh(2)', math.acosh(2), 1.3169578969248168)
        self.assertRaises(ValueError, math.acosh, 0)
        self.assertRaises(ValueError, math.acosh, -1)
        self.assertEqual(math.acosh(INF), INF)
        self.assertRaises(ValueError, math.acosh, NINF)
        self.assertTrue(math.isnan(math.acosh(NAN))) 

def check_sendall_interrupted(self, with_timeout):
        # socketpair() is not stricly required, but it makes things easier.
        if not hasattr(signal, 'alarm') or not hasattr(socket, 'socketpair'):
            self.skipTest("signal.alarm and socket.socketpair required for this test")
        # Our signal handlers clobber the C errno by calling a math function
        # with an invalid domain value.
        def ok_handler(*args):
            self.assertRaises(ValueError, math.acosh, 0)
        def raising_handler(*args):
            self.assertRaises(ValueError, math.acosh, 0)
            1 // 0
        c, s = socket.socketpair()
        old_alarm = signal.signal(signal.SIGALRM, raising_handler)
        try:
            if with_timeout:
                # Just above the one second minimum for signal.alarm
                c.settimeout(1.5)
            with self.assertRaises(ZeroDivisionError):
                signal.alarm(1)
                c.sendall(b"x" * (1024**2))
            if with_timeout:
                signal.signal(signal.SIGALRM, ok_handler)
                signal.alarm(1)
                self.assertRaises(socket.timeout, c.sendall, b"x" * (1024**2))
        finally:
            signal.signal(signal.SIGALRM, old_alarm)
            c.close()
            s.close() 

def testAcosh(self):
        self.assertRaises(TypeError, math.acosh)
        self.ftest('acosh(1)', math.acosh(1), 0)
        self.ftest('acosh(2)', math.acosh(2), 1.3169578969248168)
        self.assertRaises(ValueError, math.acosh, 0)
        self.assertRaises(ValueError, math.acosh, -1)
        self.assertEqual(math.acosh(INF), INF)
        self.assertRaises(ValueError, math.acosh, NINF)
        self.assertTrue(math.isnan(math.acosh(NAN))) 

def check_sendall_interrupted(self, with_timeout):
        # socketpair() is not stricly required, but it makes things easier.
        if not hasattr(signal, 'alarm') or not hasattr(socket, 'socketpair'):
            self.skipTest("signal.alarm and socket.socketpair required for this test")
        # Our signal handlers clobber the C errno by calling a math function
        # with an invalid domain value.
        def ok_handler(*args):
            self.assertRaises(ValueError, math.acosh, 0)
        def raising_handler(*args):
            self.assertRaises(ValueError, math.acosh, 0)
            1 // 0
        c, s = socket.socketpair()
        old_alarm = signal.signal(signal.SIGALRM, raising_handler)
        try:
            if with_timeout:
                # Just above the one second minimum for signal.alarm
                c.settimeout(1.5)
            with self.assertRaises(ZeroDivisionError):
                signal.alarm(1)
                c.sendall(b"x" * test_support.SOCK_MAX_SIZE)
            if with_timeout:
                signal.signal(signal.SIGALRM, ok_handler)
                signal.alarm(1)
                self.assertRaises(socket.timeout, c.sendall,
                                  b"x" * test_support.SOCK_MAX_SIZE)
        finally:
            signal.signal(signal.SIGALRM, old_alarm)
            c.close()
            s.close() 

def testAcosh(self):
        self.assertRaises(TypeError, math.acosh)
        self.ftest('acosh(1)', math.acosh(1), 0)
        self.ftest('acosh(2)', math.acosh(2), 1.3169578969248168)
        self.assertRaises(ValueError, math.acosh, 0)
        self.assertRaises(ValueError, math.acosh, -1)
        self.assertEqual(math.acosh(INF), INF)
        self.assertRaises(ValueError, math.acosh, NINF)
        self.assertTrue(math.isnan(math.acosh(NAN))) 

def __call__(self, val):
        if val < 1.0:
            raise ValueError("math domain error")

        return __inline_fora(
            """fun(@unnamed_args:(val), *args) {
                   PyFloat(math.acosh(val.@m))
                   }"""
            )(val) 

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)) 

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 

def acosh(x):
    """
    acosh :: Floating a => a -> a
    """
    return Floating[x].acosh(x) 

def check_sendall_interrupted(self, with_timeout):
        # socketpair() is not stricly required, but it makes things easier.
        if not hasattr(signal, 'alarm') or not hasattr(socket, 'socketpair'):
            self.skipTest("signal.alarm and socket.socketpair required for this test")
        # Our signal handlers clobber the C errno by calling a math function
        # with an invalid domain value.
        def ok_handler(*args):
            self.assertRaises(ValueError, math.acosh, 0)
        def raising_handler(*args):
            self.assertRaises(ValueError, math.acosh, 0)
            1 // 0
        c, s = socket.socketpair()
        old_alarm = signal.signal(signal.SIGALRM, raising_handler)
        try:
            if with_timeout:
                # Just above the one second minimum for signal.alarm
                c.settimeout(1.5)
            with self.assertRaises(ZeroDivisionError):
                signal.alarm(1)
                c.sendall(b"x" * support.SOCK_MAX_SIZE)
            if with_timeout:
                signal.signal(signal.SIGALRM, ok_handler)
                signal.alarm(1)
                self.assertRaises(socket.timeout, c.sendall,
                                  b"x" * support.SOCK_MAX_SIZE)
        finally:
            signal.alarm(0)
            signal.signal(signal.SIGALRM, old_alarm)
            c.close()
            s.close() 

def testAcosh(self):
        self.assertRaises(TypeError, math.acosh)
        self.ftest('acosh(1)', math.acosh(1), 0)
        self.ftest('acosh(2)', math.acosh(2), 1.3169578969248168)
        self.assertRaises(ValueError, math.acosh, 0)
        self.assertRaises(ValueError, math.acosh, -1)
        self.assertEqual(math.acosh(INF), INF)
        self.assertRaises(ValueError, math.acosh, NINF)
        self.assertTrue(math.isnan(math.acosh(NAN))) 

def check_sendall_interrupted(self, with_timeout):
        # socketpair() is not stricly required, but it makes things easier.
        if not hasattr(signal, 'alarm') or not hasattr(socket, 'socketpair'):
            self.skipTest("signal.alarm and socket.socketpair required for this test")
        # Our signal handlers clobber the C errno by calling a math function
        # with an invalid domain value.
        def ok_handler(*args):
            self.assertRaises(ValueError, math.acosh, 0)
        def raising_handler(*args):
            self.assertRaises(ValueError, math.acosh, 0)
            1 // 0
        c, s = socket.socketpair()
        old_alarm = signal.signal(signal.SIGALRM, raising_handler)
        try:
            if with_timeout:
                # Just above the one second minimum for signal.alarm
                c.settimeout(1.5)
            with self.assertRaises(ZeroDivisionError):
                signal.alarm(1)
                c.sendall(b"x" * support.SOCK_MAX_SIZE)
            if with_timeout:
                signal.signal(signal.SIGALRM, ok_handler)
                signal.alarm(1)
                self.assertRaises(socket.timeout, c.sendall,
                                  b"x" * support.SOCK_MAX_SIZE)
        finally:
            signal.alarm(0)
            signal.signal(signal.SIGALRM, old_alarm)
            c.close()
            s.close() 

def testAcosh(self):
        self.assertRaises(TypeError, math.acosh)
        self.ftest('acosh(1)', math.acosh(1), 0)
        self.ftest('acosh(2)', math.acosh(2), 1.3169578969248168)
        self.assertRaises(ValueError, math.acosh, 0)
        self.assertRaises(ValueError, math.acosh, -1)
        self.assertEqual(math.acosh(INF), INF)
        self.assertRaises(ValueError, math.acosh, NINF)
        self.assertTrue(math.isnan(math.acosh(NAN))) 

def acosh(x=('FloatPin', 0.0), Result=(REF, ('BoolPin', False))):
        '''Return the inverse hyperbolic cosine of `x`.'''
        try:
            Result(True)
            return math.acosh(x)
        except:
            Result(False)
            return -1 

def check_sendall_interrupted(self, with_timeout):
        # socketpair() is not stricly required, but it makes things easier.
        if not hasattr(signal, 'alarm') or not hasattr(socket, 'socketpair'):
            self.skipTest("signal.alarm and socket.socketpair required for this test")
        # Our signal handlers clobber the C errno by calling a math function
        # with an invalid domain value.
        def ok_handler(*args):
            self.assertRaises(ValueError, math.acosh, 0)
        def raising_handler(*args):
            self.assertRaises(ValueError, math.acosh, 0)
            1 // 0
        c, s = socket.socketpair()
        old_alarm = signal.signal(signal.SIGALRM, raising_handler)
        try:
            if with_timeout:
                # Just above the one second minimum for signal.alarm
                c.settimeout(1.5)
            with self.assertRaises(ZeroDivisionError):
                signal.alarm(1)
                c.sendall(b"x" * test_support.SOCK_MAX_SIZE)
            if with_timeout:
                signal.signal(signal.SIGALRM, ok_handler)
                signal.alarm(1)
                self.assertRaises(socket.timeout, c.sendall,
                                  b"x" * test_support.SOCK_MAX_SIZE)
        finally:
            signal.signal(signal.SIGALRM, old_alarm)
            c.close()
            s.close() 

def testAcosh(self):
        self.assertRaises(TypeError, math.acosh)
        self.ftest('acosh(1)', math.acosh(1), 0)
        self.ftest('acosh(2)', math.acosh(2), 1.3169578969248168)
        self.assertRaises(ValueError, math.acosh, 0)
        self.assertRaises(ValueError, math.acosh, -1)
        self.assertEqual(math.acosh(INF), INF)
        self.assertRaises(ValueError, math.acosh, NINF)
        self.assertTrue(math.isnan(math.acosh(NAN))) 

def check_sendall_interrupted(self, with_timeout):
        # socketpair() is not strictly required, but it makes things easier.
        if not hasattr(signal, 'alarm') or not hasattr(socket, 'socketpair'):
            self.skipTest("signal.alarm and socket.socketpair required for this test")
        # Our signal handlers clobber the C errno by calling a math function
        # with an invalid domain value.
        def ok_handler(*args):
            self.assertRaises(ValueError, math.acosh, 0)
        def raising_handler(*args):
            self.assertRaises(ValueError, math.acosh, 0)
            1 // 0
        c, s = socket.socketpair()
        old_alarm = signal.signal(signal.SIGALRM, raising_handler)
        try:
            if with_timeout:
                # Just above the one second minimum for signal.alarm
                c.settimeout(1.5)
            with self.assertRaises(ZeroDivisionError):
                signal.alarm(1)
                c.sendall(b"x" * support.SOCK_MAX_SIZE)
            if with_timeout:
                signal.signal(signal.SIGALRM, ok_handler)
                signal.alarm(1)
                self.assertRaises(socket.timeout, c.sendall,
                                  b"x" * support.SOCK_MAX_SIZE)
        finally:
            signal.alarm(0)
            signal.signal(signal.SIGALRM, old_alarm)
            c.close()
            s.close() 

def testAcosh(self):
        self.assertRaises(TypeError, math.acosh)
        self.ftest('acosh(1)', math.acosh(1), 0)
        self.ftest('acosh(2)', math.acosh(2), 1.3169578969248168)
        self.assertRaises(ValueError, math.acosh, 0)
        self.assertRaises(ValueError, math.acosh, -1)
        self.assertEqual(math.acosh(INF), INF)
        self.assertRaises(ValueError, math.acosh, NINF)
        self.assertTrue(math.isnan(math.acosh(NAN))) 

def triangleSideForAngles(adj1, adj2, opposite):
    ''' Uses the hyperbolic law of cosines, solved for the side length

        Input angles in radians '''
    A, B, C = adj1, adj2, opposite
    c = math.acosh((math.cos(C) + math.cos(A)*math.cos(B)) /
                   (math.sin(A)*math.sin(B)))
    return c 

def distanceTo(self, p2):
        r1, t1 = self.hr, self.theta
        r2, t2 = p2.hr, p2.theta
        d = math.acosh(math.cosh(r1)*math.cosh(r2)
                       - math.sinh(r1)*math.sinh(r2)*math.cos(t2-t1))
        return d 

def testAcosh(self):
        self.assertRaises(TypeError, math.acosh)
        self.ftest('acosh(1)', math.acosh(1), 0)
        self.ftest('acosh(2)', math.acosh(2), 1.3169578969248168)
        self.assertRaises(ValueError, math.acosh, 0)
        self.assertRaises(ValueError, math.acosh, -1)
        self.assertEqual(math.acosh(INF), INF)
        self.assertRaises(ValueError, math.acosh, NINF)
        self.assertTrue(math.isnan(math.acosh(NAN))) 

def acosh(node): return merge([node], math.acosh) 

def testAcosh(self):
        self.assertRaises(TypeError, math.acosh)
        self.ftest('acosh(1)', math.acosh(1), 0)
        self.ftest('acosh(2)', math.acosh(2), 1.3169578969248168)
        self.assertRaises(ValueError, math.acosh, 0)
        self.assertRaises(ValueError, math.acosh, -1)
        self.assertEqual(math.acosh(INF), INF)
        self.assertRaises(ValueError, math.acosh, NINF)
        self.assertTrue(math.isnan(math.acosh(NAN)))