Python numpy.arcsinh() Examples

The following are 30 code examples for showing how to use numpy.arcsinh(). These examples are extracted from open source projects. 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.

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Example 1
Project: recruit   Author: Frank-qlu   File: test_umath.py    License: Apache License 2.0 6 votes vote down vote up
def test_branch_cuts(self):
        # check branch cuts and continuity on them
        _check_branch_cut(np.log,   -0.5, 1j, 1, -1, True)
        _check_branch_cut(np.log2,  -0.5, 1j, 1, -1, True)
        _check_branch_cut(np.log10, -0.5, 1j, 1, -1, True)
        _check_branch_cut(np.log1p, -1.5, 1j, 1, -1, True)
        _check_branch_cut(np.sqrt,  -0.5, 1j, 1, -1, True)

        _check_branch_cut(np.arcsin, [ -2, 2],   [1j, 1j], 1, -1, True)
        _check_branch_cut(np.arccos, [ -2, 2],   [1j, 1j], 1, -1, True)
        _check_branch_cut(np.arctan, [0-2j, 2j],  [1,  1], -1, 1, True)

        _check_branch_cut(np.arcsinh, [0-2j,  2j], [1,   1], -1, 1, True)
        _check_branch_cut(np.arccosh, [ -1, 0.5], [1j,  1j], 1, -1, True)
        _check_branch_cut(np.arctanh, [ -2,   2], [1j, 1j], 1, -1, True)

        # check against bogus branch cuts: assert continuity between quadrants
        _check_branch_cut(np.arcsin, [0-2j, 2j], [ 1,  1], 1, 1)
        _check_branch_cut(np.arccos, [0-2j, 2j], [ 1,  1], 1, 1)
        _check_branch_cut(np.arctan, [ -2,  2], [1j, 1j], 1, 1)

        _check_branch_cut(np.arcsinh, [ -2,  2, 0], [1j, 1j, 1], 1, 1)
        _check_branch_cut(np.arccosh, [0-2j, 2j, 2], [1,  1,  1j], 1, 1)
        _check_branch_cut(np.arctanh, [0-2j, 2j, 0], [1,  1,  1j], 1, 1) 
Example 2
Project: recruit   Author: Frank-qlu   File: test_umath.py    License: Apache License 2.0 6 votes vote down vote up
def test_branch_cuts_complex64(self):
        # check branch cuts and continuity on them
        _check_branch_cut(np.log,   -0.5, 1j, 1, -1, True, np.complex64)
        _check_branch_cut(np.log2,  -0.5, 1j, 1, -1, True, np.complex64)
        _check_branch_cut(np.log10, -0.5, 1j, 1, -1, True, np.complex64)
        _check_branch_cut(np.log1p, -1.5, 1j, 1, -1, True, np.complex64)
        _check_branch_cut(np.sqrt,  -0.5, 1j, 1, -1, True, np.complex64)

        _check_branch_cut(np.arcsin, [ -2, 2],   [1j, 1j], 1, -1, True, np.complex64)
        _check_branch_cut(np.arccos, [ -2, 2],   [1j, 1j], 1, -1, True, np.complex64)
        _check_branch_cut(np.arctan, [0-2j, 2j],  [1,  1], -1, 1, True, np.complex64)

        _check_branch_cut(np.arcsinh, [0-2j,  2j], [1,   1], -1, 1, True, np.complex64)
        _check_branch_cut(np.arccosh, [ -1, 0.5], [1j,  1j], 1, -1, True, np.complex64)
        _check_branch_cut(np.arctanh, [ -2,   2], [1j, 1j], 1, -1, True, np.complex64)

        # check against bogus branch cuts: assert continuity between quadrants
        _check_branch_cut(np.arcsin, [0-2j, 2j], [ 1,  1], 1, 1, False, np.complex64)
        _check_branch_cut(np.arccos, [0-2j, 2j], [ 1,  1], 1, 1, False, np.complex64)
        _check_branch_cut(np.arctan, [ -2,  2], [1j, 1j], 1, 1, False, np.complex64)

        _check_branch_cut(np.arcsinh, [ -2,  2, 0], [1j, 1j, 1], 1, 1, False, np.complex64)
        _check_branch_cut(np.arccosh, [0-2j, 2j, 2], [1,  1,  1j], 1, 1, False, np.complex64)
        _check_branch_cut(np.arctanh, [0-2j, 2j, 0], [1,  1,  1j], 1, 1, False, np.complex64) 
Example 3
Project: recruit   Author: Frank-qlu   File: test_umath.py    License: Apache License 2.0 6 votes vote down vote up
def test_against_cmath(self):
        import cmath

        points = [-1-1j, -1+1j, +1-1j, +1+1j]
        name_map = {'arcsin': 'asin', 'arccos': 'acos', 'arctan': 'atan',
                    'arcsinh': 'asinh', 'arccosh': 'acosh', 'arctanh': 'atanh'}
        atol = 4*np.finfo(complex).eps
        for func in self.funcs:
            fname = func.__name__.split('.')[-1]
            cname = name_map.get(fname, fname)
            try:
                cfunc = getattr(cmath, cname)
            except AttributeError:
                continue
            for p in points:
                a = complex(func(np.complex_(p)))
                b = cfunc(p)
                assert_(abs(a - b) < atol, "%s %s: %s; cmath: %s" % (fname, p, a, b)) 
Example 4
Project: tf-pose   Author: SrikanthVelpuri   File: relativity.py    License: Apache License 2.0 6 votes vote down vote up
def hypTStep(dt, v0, x0, tau0, g):
        ## Hyperbolic step. 
        ## If an object has proper acceleration g and starts at position x0 with speed v0 and proper time tau0
        ## as seen from an inertial frame, then return the new v, x, tau after time dt has elapsed.
        if g == 0:
            return v0, x0 + v0*dt, tau0 + dt * (1. - v0**2)**0.5
        v02 = v0**2
        g2 = g**2
        
        tinit = v0 / (g * (1 - v02)**0.5)
        
        B = (1 + (g2 * (dt+tinit)**2))**0.5
        
        v1 = g * (dt+tinit) / B
        
        dtau = (np.arcsinh(g * (dt+tinit)) - np.arcsinh(g * tinit)) / g
        
        tau1 = tau0 + dtau
        
        x1 = x0 + (1.0 / g) * ( B - 1. / (1.-v02)**0.5 )
        
        return v1, x1, tau1 
Example 5
Project: tf-pose   Author: SrikanthVelpuri   File: relativity.py    License: Apache License 2.0 6 votes vote down vote up
def tauStep(dtau, v0, x0, t0, g):
        ## linear step in proper time of clock.
        ## If an object has proper acceleration g and starts at position x0 with speed v0 at time t0
        ## as seen from an inertial frame, then return the new v, x, t after proper time dtau has elapsed.
        

        ## Compute how much t will change given a proper-time step of dtau
        gamma = (1. - v0**2)**-0.5
        if g == 0:
            dt = dtau * gamma
        else:
            v0g = v0 * gamma
            dt = (np.sinh(dtau * g + np.arcsinh(v0g)) - v0g) / g
        
        #return v0 + dtau * g, x0 + v0*dt, t0 + dt
        v1, x1, t1 = Simulation.hypTStep(dt, v0, x0, t0, g)
        return v1, x1, t0+dt 
Example 6
Project: auto-alt-text-lambda-api   Author: abhisuri97   File: test_umath.py    License: MIT License 6 votes vote down vote up
def test_branch_cuts(self):
        # check branch cuts and continuity on them
        yield _check_branch_cut, np.log,   -0.5, 1j, 1, -1, True
        yield _check_branch_cut, np.log2,  -0.5, 1j, 1, -1, True
        yield _check_branch_cut, np.log10, -0.5, 1j, 1, -1, True
        yield _check_branch_cut, np.log1p, -1.5, 1j, 1, -1, True
        yield _check_branch_cut, np.sqrt,  -0.5, 1j, 1, -1, True

        yield _check_branch_cut, np.arcsin, [ -2, 2],   [1j, 1j], 1, -1, True
        yield _check_branch_cut, np.arccos, [ -2, 2],   [1j, 1j], 1, -1, True
        yield _check_branch_cut, np.arctan, [0-2j, 2j],  [1,  1], -1, 1, True

        yield _check_branch_cut, np.arcsinh, [0-2j,  2j], [1,   1], -1, 1, True
        yield _check_branch_cut, np.arccosh, [ -1, 0.5], [1j,  1j], 1, -1, True
        yield _check_branch_cut, np.arctanh, [ -2,   2], [1j, 1j], 1, -1, True

        # check against bogus branch cuts: assert continuity between quadrants
        yield _check_branch_cut, np.arcsin, [0-2j, 2j], [ 1,  1], 1, 1
        yield _check_branch_cut, np.arccos, [0-2j, 2j], [ 1,  1], 1, 1
        yield _check_branch_cut, np.arctan, [ -2,  2], [1j, 1j], 1, 1

        yield _check_branch_cut, np.arcsinh, [ -2,  2, 0], [1j, 1j, 1], 1, 1
        yield _check_branch_cut, np.arccosh, [0-2j, 2j, 2], [1,  1,  1j], 1, 1
        yield _check_branch_cut, np.arctanh, [0-2j, 2j, 0], [1,  1,  1j], 1, 1 
Example 7
Project: auto-alt-text-lambda-api   Author: abhisuri97   File: test_umath.py    License: MIT License 6 votes vote down vote up
def test_branch_cuts_complex64(self):
        # check branch cuts and continuity on them
        yield _check_branch_cut, np.log,   -0.5, 1j, 1, -1, True, np.complex64
        yield _check_branch_cut, np.log2,  -0.5, 1j, 1, -1, True, np.complex64
        yield _check_branch_cut, np.log10, -0.5, 1j, 1, -1, True, np.complex64
        yield _check_branch_cut, np.log1p, -1.5, 1j, 1, -1, True, np.complex64
        yield _check_branch_cut, np.sqrt,  -0.5, 1j, 1, -1, True, np.complex64

        yield _check_branch_cut, np.arcsin, [ -2, 2],   [1j, 1j], 1, -1, True, np.complex64
        yield _check_branch_cut, np.arccos, [ -2, 2],   [1j, 1j], 1, -1, True, np.complex64
        yield _check_branch_cut, np.arctan, [0-2j, 2j],  [1,  1], -1, 1, True, np.complex64

        yield _check_branch_cut, np.arcsinh, [0-2j,  2j], [1,   1], -1, 1, True, np.complex64
        yield _check_branch_cut, np.arccosh, [ -1, 0.5], [1j,  1j], 1, -1, True, np.complex64
        yield _check_branch_cut, np.arctanh, [ -2,   2], [1j, 1j], 1, -1, True, np.complex64

        # check against bogus branch cuts: assert continuity between quadrants
        yield _check_branch_cut, np.arcsin, [0-2j, 2j], [ 1,  1], 1, 1, False, np.complex64
        yield _check_branch_cut, np.arccos, [0-2j, 2j], [ 1,  1], 1, 1, False, np.complex64
        yield _check_branch_cut, np.arctan, [ -2,  2], [1j, 1j], 1, 1, False, np.complex64

        yield _check_branch_cut, np.arcsinh, [ -2,  2, 0], [1j, 1j, 1], 1, 1, False, np.complex64
        yield _check_branch_cut, np.arccosh, [0-2j, 2j, 2], [1,  1,  1j], 1, 1, False, np.complex64
        yield _check_branch_cut, np.arctanh, [0-2j, 2j, 0], [1,  1,  1j], 1, 1, False, np.complex64 
Example 8
Project: auto-alt-text-lambda-api   Author: abhisuri97   File: test_umath.py    License: MIT License 6 votes vote down vote up
def test_against_cmath(self):
        import cmath

        points = [-1-1j, -1+1j, +1-1j, +1+1j]
        name_map = {'arcsin': 'asin', 'arccos': 'acos', 'arctan': 'atan',
                    'arcsinh': 'asinh', 'arccosh': 'acosh', 'arctanh': 'atanh'}
        atol = 4*np.finfo(np.complex).eps
        for func in self.funcs:
            fname = func.__name__.split('.')[-1]
            cname = name_map.get(fname, fname)
            try:
                cfunc = getattr(cmath, cname)
            except AttributeError:
                continue
            for p in points:
                a = complex(func(np.complex_(p)))
                b = cfunc(p)
                assert_(abs(a - b) < atol, "%s %s: %s; cmath: %s" % (fname, p, a, b)) 
Example 9
Project: vnpy_crypto   Author: birforce   File: test_umath.py    License: MIT License 6 votes vote down vote up
def test_branch_cuts(self):
        # check branch cuts and continuity on them
        yield _check_branch_cut, np.log,   -0.5, 1j, 1, -1, True
        yield _check_branch_cut, np.log2,  -0.5, 1j, 1, -1, True
        yield _check_branch_cut, np.log10, -0.5, 1j, 1, -1, True
        yield _check_branch_cut, np.log1p, -1.5, 1j, 1, -1, True
        yield _check_branch_cut, np.sqrt,  -0.5, 1j, 1, -1, True

        yield _check_branch_cut, np.arcsin, [ -2, 2],   [1j, 1j], 1, -1, True
        yield _check_branch_cut, np.arccos, [ -2, 2],   [1j, 1j], 1, -1, True
        yield _check_branch_cut, np.arctan, [0-2j, 2j],  [1,  1], -1, 1, True

        yield _check_branch_cut, np.arcsinh, [0-2j,  2j], [1,   1], -1, 1, True
        yield _check_branch_cut, np.arccosh, [ -1, 0.5], [1j,  1j], 1, -1, True
        yield _check_branch_cut, np.arctanh, [ -2,   2], [1j, 1j], 1, -1, True

        # check against bogus branch cuts: assert continuity between quadrants
        yield _check_branch_cut, np.arcsin, [0-2j, 2j], [ 1,  1], 1, 1
        yield _check_branch_cut, np.arccos, [0-2j, 2j], [ 1,  1], 1, 1
        yield _check_branch_cut, np.arctan, [ -2,  2], [1j, 1j], 1, 1

        yield _check_branch_cut, np.arcsinh, [ -2,  2, 0], [1j, 1j, 1], 1, 1
        yield _check_branch_cut, np.arccosh, [0-2j, 2j, 2], [1,  1,  1j], 1, 1
        yield _check_branch_cut, np.arctanh, [0-2j, 2j, 0], [1,  1,  1j], 1, 1 
Example 10
Project: vnpy_crypto   Author: birforce   File: test_umath.py    License: MIT License 6 votes vote down vote up
def test_branch_cuts_complex64(self):
        # check branch cuts and continuity on them
        yield _check_branch_cut, np.log,   -0.5, 1j, 1, -1, True, np.complex64
        yield _check_branch_cut, np.log2,  -0.5, 1j, 1, -1, True, np.complex64
        yield _check_branch_cut, np.log10, -0.5, 1j, 1, -1, True, np.complex64
        yield _check_branch_cut, np.log1p, -1.5, 1j, 1, -1, True, np.complex64
        yield _check_branch_cut, np.sqrt,  -0.5, 1j, 1, -1, True, np.complex64

        yield _check_branch_cut, np.arcsin, [ -2, 2],   [1j, 1j], 1, -1, True, np.complex64
        yield _check_branch_cut, np.arccos, [ -2, 2],   [1j, 1j], 1, -1, True, np.complex64
        yield _check_branch_cut, np.arctan, [0-2j, 2j],  [1,  1], -1, 1, True, np.complex64

        yield _check_branch_cut, np.arcsinh, [0-2j,  2j], [1,   1], -1, 1, True, np.complex64
        yield _check_branch_cut, np.arccosh, [ -1, 0.5], [1j,  1j], 1, -1, True, np.complex64
        yield _check_branch_cut, np.arctanh, [ -2,   2], [1j, 1j], 1, -1, True, np.complex64

        # check against bogus branch cuts: assert continuity between quadrants
        yield _check_branch_cut, np.arcsin, [0-2j, 2j], [ 1,  1], 1, 1, False, np.complex64
        yield _check_branch_cut, np.arccos, [0-2j, 2j], [ 1,  1], 1, 1, False, np.complex64
        yield _check_branch_cut, np.arctan, [ -2,  2], [1j, 1j], 1, 1, False, np.complex64

        yield _check_branch_cut, np.arcsinh, [ -2,  2, 0], [1j, 1j, 1], 1, 1, False, np.complex64
        yield _check_branch_cut, np.arccosh, [0-2j, 2j, 2], [1,  1,  1j], 1, 1, False, np.complex64
        yield _check_branch_cut, np.arctanh, [0-2j, 2j, 0], [1,  1,  1j], 1, 1, False, np.complex64 
Example 11
Project: vnpy_crypto   Author: birforce   File: test_umath.py    License: MIT License 6 votes vote down vote up
def test_against_cmath(self):
        import cmath

        points = [-1-1j, -1+1j, +1-1j, +1+1j]
        name_map = {'arcsin': 'asin', 'arccos': 'acos', 'arctan': 'atan',
                    'arcsinh': 'asinh', 'arccosh': 'acosh', 'arctanh': 'atanh'}
        atol = 4*np.finfo(complex).eps
        for func in self.funcs:
            fname = func.__name__.split('.')[-1]
            cname = name_map.get(fname, fname)
            try:
                cfunc = getattr(cmath, cname)
            except AttributeError:
                continue
            for p in points:
                a = complex(func(np.complex_(p)))
                b = cfunc(p)
                assert_(abs(a - b) < atol, "%s %s: %s; cmath: %s" % (fname, p, a, b)) 
Example 12
Project: strawberryfields   Author: XanaduAI   File: test_decompositions_integration.py    License: Apache License 2.0 6 votes vote down vote up
def test_CXgate_decomp_equal(self, setup_eng, s, tol):
        """Tests that the CXgate gives the same transformation as its decomposition."""
        eng, prog = setup_eng(2)

        r = np.arcsinh(-s / 2)
        y = -1 / np.cosh(r)
        x = -np.tanh(r)
        theta = np.arctan2(y, x) / 2

        with prog.context as q:
            ops.CXgate(s) | q
            # run decomposition with reversed arguments
            ops.BSgate(-(np.pi / 2 + theta), 0) | q
            ops.Sgate(r, np.pi) | q[0]
            ops.Sgate(r, 0) | q[1]
            ops.BSgate(-theta, 0) | q

        eng.run(prog)
        assert np.all(eng.backend.is_vacuum(tol)) 
Example 13
Project: Computable   Author: ktraunmueller   File: test_umath.py    License: MIT License 6 votes vote down vote up
def test_branch_cuts(self):
        # check branch cuts and continuity on them
        yield _check_branch_cut, np.log,   -0.5, 1j, 1, -1
        yield _check_branch_cut, np.log2,  -0.5, 1j, 1, -1
        yield _check_branch_cut, np.log10, -0.5, 1j, 1, -1
        yield _check_branch_cut, np.log1p, -1.5, 1j, 1, -1
        yield _check_branch_cut, np.sqrt,  -0.5, 1j, 1, -1

        yield _check_branch_cut, np.arcsin, [ -2, 2],   [1j, -1j], 1, -1
        yield _check_branch_cut, np.arccos, [ -2, 2],   [1j, -1j], 1, -1
        yield _check_branch_cut, np.arctan, [-2j, 2j],  [1,  -1 ], -1, 1

        yield _check_branch_cut, np.arcsinh, [-2j,  2j], [-1,   1], -1, 1
        yield _check_branch_cut, np.arccosh, [ -1, 0.5], [1j,  1j], 1, -1
        yield _check_branch_cut, np.arctanh, [ -2,   2], [1j, -1j], 1, -1

        # check against bogus branch cuts: assert continuity between quadrants
        yield _check_branch_cut, np.arcsin, [-2j, 2j], [ 1,  1], 1, 1
        yield _check_branch_cut, np.arccos, [-2j, 2j], [ 1,  1], 1, 1
        yield _check_branch_cut, np.arctan, [ -2,  2], [1j, 1j], 1, 1

        yield _check_branch_cut, np.arcsinh, [ -2,  2, 0], [1j, 1j, 1 ], 1, 1
        yield _check_branch_cut, np.arccosh, [-2j, 2j, 2], [1,  1,  1j], 1, 1
        yield _check_branch_cut, np.arctanh, [-2j, 2j, 0], [1,  1,  1j], 1, 1 
Example 14
Project: Computable   Author: ktraunmueller   File: test_umath.py    License: MIT License 6 votes vote down vote up
def test_against_cmath(self):
        import cmath, sys

        points = [-1-1j, -1+1j, +1-1j, +1+1j]
        name_map = {'arcsin': 'asin', 'arccos': 'acos', 'arctan': 'atan',
                    'arcsinh': 'asinh', 'arccosh': 'acosh', 'arctanh': 'atanh'}
        atol = 4*np.finfo(np.complex).eps
        for func in self.funcs:
            fname = func.__name__.split('.')[-1]
            cname = name_map.get(fname, fname)
            try:
                cfunc = getattr(cmath, cname)
            except AttributeError:
                continue
            for p in points:
                a = complex(func(np.complex_(p)))
                b = cfunc(p)
                assert_(abs(a - b) < atol, "%s %s: %s; cmath: %s"%(fname, p, a, b)) 
Example 15
Project: Mastering-Elasticsearch-7.0   Author: PacktPublishing   File: test_umath.py    License: MIT License 6 votes vote down vote up
def test_branch_cuts(self):
        # check branch cuts and continuity on them
        _check_branch_cut(np.log,   -0.5, 1j, 1, -1, True)
        _check_branch_cut(np.log2,  -0.5, 1j, 1, -1, True)
        _check_branch_cut(np.log10, -0.5, 1j, 1, -1, True)
        _check_branch_cut(np.log1p, -1.5, 1j, 1, -1, True)
        _check_branch_cut(np.sqrt,  -0.5, 1j, 1, -1, True)

        _check_branch_cut(np.arcsin, [ -2, 2],   [1j, 1j], 1, -1, True)
        _check_branch_cut(np.arccos, [ -2, 2],   [1j, 1j], 1, -1, True)
        _check_branch_cut(np.arctan, [0-2j, 2j],  [1,  1], -1, 1, True)

        _check_branch_cut(np.arcsinh, [0-2j,  2j], [1,   1], -1, 1, True)
        _check_branch_cut(np.arccosh, [ -1, 0.5], [1j,  1j], 1, -1, True)
        _check_branch_cut(np.arctanh, [ -2,   2], [1j, 1j], 1, -1, True)

        # check against bogus branch cuts: assert continuity between quadrants
        _check_branch_cut(np.arcsin, [0-2j, 2j], [ 1,  1], 1, 1)
        _check_branch_cut(np.arccos, [0-2j, 2j], [ 1,  1], 1, 1)
        _check_branch_cut(np.arctan, [ -2,  2], [1j, 1j], 1, 1)

        _check_branch_cut(np.arcsinh, [ -2,  2, 0], [1j, 1j, 1], 1, 1)
        _check_branch_cut(np.arccosh, [0-2j, 2j, 2], [1,  1,  1j], 1, 1)
        _check_branch_cut(np.arctanh, [0-2j, 2j, 0], [1,  1,  1j], 1, 1) 
Example 16
Project: Mastering-Elasticsearch-7.0   Author: PacktPublishing   File: test_umath.py    License: MIT License 6 votes vote down vote up
def test_branch_cuts_complex64(self):
        # check branch cuts and continuity on them
        _check_branch_cut(np.log,   -0.5, 1j, 1, -1, True, np.complex64)
        _check_branch_cut(np.log2,  -0.5, 1j, 1, -1, True, np.complex64)
        _check_branch_cut(np.log10, -0.5, 1j, 1, -1, True, np.complex64)
        _check_branch_cut(np.log1p, -1.5, 1j, 1, -1, True, np.complex64)
        _check_branch_cut(np.sqrt,  -0.5, 1j, 1, -1, True, np.complex64)

        _check_branch_cut(np.arcsin, [ -2, 2],   [1j, 1j], 1, -1, True, np.complex64)
        _check_branch_cut(np.arccos, [ -2, 2],   [1j, 1j], 1, -1, True, np.complex64)
        _check_branch_cut(np.arctan, [0-2j, 2j],  [1,  1], -1, 1, True, np.complex64)

        _check_branch_cut(np.arcsinh, [0-2j,  2j], [1,   1], -1, 1, True, np.complex64)
        _check_branch_cut(np.arccosh, [ -1, 0.5], [1j,  1j], 1, -1, True, np.complex64)
        _check_branch_cut(np.arctanh, [ -2,   2], [1j, 1j], 1, -1, True, np.complex64)

        # check against bogus branch cuts: assert continuity between quadrants
        _check_branch_cut(np.arcsin, [0-2j, 2j], [ 1,  1], 1, 1, False, np.complex64)
        _check_branch_cut(np.arccos, [0-2j, 2j], [ 1,  1], 1, 1, False, np.complex64)
        _check_branch_cut(np.arctan, [ -2,  2], [1j, 1j], 1, 1, False, np.complex64)

        _check_branch_cut(np.arcsinh, [ -2,  2, 0], [1j, 1j, 1], 1, 1, False, np.complex64)
        _check_branch_cut(np.arccosh, [0-2j, 2j, 2], [1,  1,  1j], 1, 1, False, np.complex64)
        _check_branch_cut(np.arctanh, [0-2j, 2j, 0], [1,  1,  1j], 1, 1, False, np.complex64) 
Example 17
Project: Mastering-Elasticsearch-7.0   Author: PacktPublishing   File: test_umath.py    License: MIT License 6 votes vote down vote up
def test_against_cmath(self):
        import cmath

        points = [-1-1j, -1+1j, +1-1j, +1+1j]
        name_map = {'arcsin': 'asin', 'arccos': 'acos', 'arctan': 'atan',
                    'arcsinh': 'asinh', 'arccosh': 'acosh', 'arctanh': 'atanh'}
        atol = 4*np.finfo(complex).eps
        for func in self.funcs:
            fname = func.__name__.split('.')[-1]
            cname = name_map.get(fname, fname)
            try:
                cfunc = getattr(cmath, cname)
            except AttributeError:
                continue
            for p in points:
                a = complex(func(np.complex_(p)))
                b = cfunc(p)
                assert_(abs(a - b) < atol, "%s %s: %s; cmath: %s" % (fname, p, a, b)) 
Example 18
Project: GraphicDesignPatternByPython   Author: Relph1119   File: test_umath.py    License: MIT License 6 votes vote down vote up
def test_branch_cuts(self):
        # check branch cuts and continuity on them
        _check_branch_cut(np.log,   -0.5, 1j, 1, -1, True)
        _check_branch_cut(np.log2,  -0.5, 1j, 1, -1, True)
        _check_branch_cut(np.log10, -0.5, 1j, 1, -1, True)
        _check_branch_cut(np.log1p, -1.5, 1j, 1, -1, True)
        _check_branch_cut(np.sqrt,  -0.5, 1j, 1, -1, True)

        _check_branch_cut(np.arcsin, [ -2, 2],   [1j, 1j], 1, -1, True)
        _check_branch_cut(np.arccos, [ -2, 2],   [1j, 1j], 1, -1, True)
        _check_branch_cut(np.arctan, [0-2j, 2j],  [1,  1], -1, 1, True)

        _check_branch_cut(np.arcsinh, [0-2j,  2j], [1,   1], -1, 1, True)
        _check_branch_cut(np.arccosh, [ -1, 0.5], [1j,  1j], 1, -1, True)
        _check_branch_cut(np.arctanh, [ -2,   2], [1j, 1j], 1, -1, True)

        # check against bogus branch cuts: assert continuity between quadrants
        _check_branch_cut(np.arcsin, [0-2j, 2j], [ 1,  1], 1, 1)
        _check_branch_cut(np.arccos, [0-2j, 2j], [ 1,  1], 1, 1)
        _check_branch_cut(np.arctan, [ -2,  2], [1j, 1j], 1, 1)

        _check_branch_cut(np.arcsinh, [ -2,  2, 0], [1j, 1j, 1], 1, 1)
        _check_branch_cut(np.arccosh, [0-2j, 2j, 2], [1,  1,  1j], 1, 1)
        _check_branch_cut(np.arctanh, [0-2j, 2j, 0], [1,  1,  1j], 1, 1) 
Example 19
Project: GraphicDesignPatternByPython   Author: Relph1119   File: test_umath.py    License: MIT License 6 votes vote down vote up
def test_branch_cuts_complex64(self):
        # check branch cuts and continuity on them
        _check_branch_cut(np.log,   -0.5, 1j, 1, -1, True, np.complex64)
        _check_branch_cut(np.log2,  -0.5, 1j, 1, -1, True, np.complex64)
        _check_branch_cut(np.log10, -0.5, 1j, 1, -1, True, np.complex64)
        _check_branch_cut(np.log1p, -1.5, 1j, 1, -1, True, np.complex64)
        _check_branch_cut(np.sqrt,  -0.5, 1j, 1, -1, True, np.complex64)

        _check_branch_cut(np.arcsin, [ -2, 2],   [1j, 1j], 1, -1, True, np.complex64)
        _check_branch_cut(np.arccos, [ -2, 2],   [1j, 1j], 1, -1, True, np.complex64)
        _check_branch_cut(np.arctan, [0-2j, 2j],  [1,  1], -1, 1, True, np.complex64)

        _check_branch_cut(np.arcsinh, [0-2j,  2j], [1,   1], -1, 1, True, np.complex64)
        _check_branch_cut(np.arccosh, [ -1, 0.5], [1j,  1j], 1, -1, True, np.complex64)
        _check_branch_cut(np.arctanh, [ -2,   2], [1j, 1j], 1, -1, True, np.complex64)

        # check against bogus branch cuts: assert continuity between quadrants
        _check_branch_cut(np.arcsin, [0-2j, 2j], [ 1,  1], 1, 1, False, np.complex64)
        _check_branch_cut(np.arccos, [0-2j, 2j], [ 1,  1], 1, 1, False, np.complex64)
        _check_branch_cut(np.arctan, [ -2,  2], [1j, 1j], 1, 1, False, np.complex64)

        _check_branch_cut(np.arcsinh, [ -2,  2, 0], [1j, 1j, 1], 1, 1, False, np.complex64)
        _check_branch_cut(np.arccosh, [0-2j, 2j, 2], [1,  1,  1j], 1, 1, False, np.complex64)
        _check_branch_cut(np.arctanh, [0-2j, 2j, 0], [1,  1,  1j], 1, 1, False, np.complex64) 
Example 20
Project: GraphicDesignPatternByPython   Author: Relph1119   File: test_umath.py    License: MIT License 6 votes vote down vote up
def test_against_cmath(self):
        import cmath

        points = [-1-1j, -1+1j, +1-1j, +1+1j]
        name_map = {'arcsin': 'asin', 'arccos': 'acos', 'arctan': 'atan',
                    'arcsinh': 'asinh', 'arccosh': 'acosh', 'arctanh': 'atanh'}
        atol = 4*np.finfo(complex).eps
        for func in self.funcs:
            fname = func.__name__.split('.')[-1]
            cname = name_map.get(fname, fname)
            try:
                cfunc = getattr(cmath, cname)
            except AttributeError:
                continue
            for p in points:
                a = complex(func(np.complex_(p)))
                b = cfunc(p)
                assert_(abs(a - b) < atol, "%s %s: %s; cmath: %s" % (fname, p, a, b)) 
Example 21
def test_branch_cuts(self):
        # check branch cuts and continuity on them
        _check_branch_cut(np.log,   -0.5, 1j, 1, -1, True)
        _check_branch_cut(np.log2,  -0.5, 1j, 1, -1, True)
        _check_branch_cut(np.log10, -0.5, 1j, 1, -1, True)
        _check_branch_cut(np.log1p, -1.5, 1j, 1, -1, True)
        _check_branch_cut(np.sqrt,  -0.5, 1j, 1, -1, True)

        _check_branch_cut(np.arcsin, [ -2, 2],   [1j, 1j], 1, -1, True)
        _check_branch_cut(np.arccos, [ -2, 2],   [1j, 1j], 1, -1, True)
        _check_branch_cut(np.arctan, [0-2j, 2j],  [1,  1], -1, 1, True)

        _check_branch_cut(np.arcsinh, [0-2j,  2j], [1,   1], -1, 1, True)
        _check_branch_cut(np.arccosh, [ -1, 0.5], [1j,  1j], 1, -1, True)
        _check_branch_cut(np.arctanh, [ -2,   2], [1j, 1j], 1, -1, True)

        # check against bogus branch cuts: assert continuity between quadrants
        _check_branch_cut(np.arcsin, [0-2j, 2j], [ 1,  1], 1, 1)
        _check_branch_cut(np.arccos, [0-2j, 2j], [ 1,  1], 1, 1)
        _check_branch_cut(np.arctan, [ -2,  2], [1j, 1j], 1, 1)

        _check_branch_cut(np.arcsinh, [ -2,  2, 0], [1j, 1j, 1], 1, 1)
        _check_branch_cut(np.arccosh, [0-2j, 2j, 2], [1,  1,  1j], 1, 1)
        _check_branch_cut(np.arctanh, [0-2j, 2j, 0], [1,  1,  1j], 1, 1) 
Example 22
def test_branch_cuts_complex64(self):
        # check branch cuts and continuity on them
        _check_branch_cut(np.log,   -0.5, 1j, 1, -1, True, np.complex64)
        _check_branch_cut(np.log2,  -0.5, 1j, 1, -1, True, np.complex64)
        _check_branch_cut(np.log10, -0.5, 1j, 1, -1, True, np.complex64)
        _check_branch_cut(np.log1p, -1.5, 1j, 1, -1, True, np.complex64)
        _check_branch_cut(np.sqrt,  -0.5, 1j, 1, -1, True, np.complex64)

        _check_branch_cut(np.arcsin, [ -2, 2],   [1j, 1j], 1, -1, True, np.complex64)
        _check_branch_cut(np.arccos, [ -2, 2],   [1j, 1j], 1, -1, True, np.complex64)
        _check_branch_cut(np.arctan, [0-2j, 2j],  [1,  1], -1, 1, True, np.complex64)

        _check_branch_cut(np.arcsinh, [0-2j,  2j], [1,   1], -1, 1, True, np.complex64)
        _check_branch_cut(np.arccosh, [ -1, 0.5], [1j,  1j], 1, -1, True, np.complex64)
        _check_branch_cut(np.arctanh, [ -2,   2], [1j, 1j], 1, -1, True, np.complex64)

        # check against bogus branch cuts: assert continuity between quadrants
        _check_branch_cut(np.arcsin, [0-2j, 2j], [ 1,  1], 1, 1, False, np.complex64)
        _check_branch_cut(np.arccos, [0-2j, 2j], [ 1,  1], 1, 1, False, np.complex64)
        _check_branch_cut(np.arctan, [ -2,  2], [1j, 1j], 1, 1, False, np.complex64)

        _check_branch_cut(np.arcsinh, [ -2,  2, 0], [1j, 1j, 1], 1, 1, False, np.complex64)
        _check_branch_cut(np.arccosh, [0-2j, 2j, 2], [1,  1,  1j], 1, 1, False, np.complex64)
        _check_branch_cut(np.arctanh, [0-2j, 2j, 0], [1,  1,  1j], 1, 1, False, np.complex64) 
Example 23
def test_against_cmath(self):
        import cmath

        points = [-1-1j, -1+1j, +1-1j, +1+1j]
        name_map = {'arcsin': 'asin', 'arccos': 'acos', 'arctan': 'atan',
                    'arcsinh': 'asinh', 'arccosh': 'acosh', 'arctanh': 'atanh'}
        atol = 4*np.finfo(complex).eps
        for func in self.funcs:
            fname = func.__name__.split('.')[-1]
            cname = name_map.get(fname, fname)
            try:
                cfunc = getattr(cmath, cname)
            except AttributeError:
                continue
            for p in points:
                a = complex(func(np.complex_(p)))
                b = cfunc(p)
                assert_(abs(a - b) < atol, "%s %s: %s; cmath: %s" % (fname, p, a, b)) 
Example 24
Project: pySINDy   Author: luckystarufo   File: test_umath.py    License: MIT License 6 votes vote down vote up
def test_branch_cuts(self):
        # check branch cuts and continuity on them
        _check_branch_cut(np.log,   -0.5, 1j, 1, -1, True)
        _check_branch_cut(np.log2,  -0.5, 1j, 1, -1, True)
        _check_branch_cut(np.log10, -0.5, 1j, 1, -1, True)
        _check_branch_cut(np.log1p, -1.5, 1j, 1, -1, True)
        _check_branch_cut(np.sqrt,  -0.5, 1j, 1, -1, True)

        _check_branch_cut(np.arcsin, [ -2, 2],   [1j, 1j], 1, -1, True)
        _check_branch_cut(np.arccos, [ -2, 2],   [1j, 1j], 1, -1, True)
        _check_branch_cut(np.arctan, [0-2j, 2j],  [1,  1], -1, 1, True)

        _check_branch_cut(np.arcsinh, [0-2j,  2j], [1,   1], -1, 1, True)
        _check_branch_cut(np.arccosh, [ -1, 0.5], [1j,  1j], 1, -1, True)
        _check_branch_cut(np.arctanh, [ -2,   2], [1j, 1j], 1, -1, True)

        # check against bogus branch cuts: assert continuity between quadrants
        _check_branch_cut(np.arcsin, [0-2j, 2j], [ 1,  1], 1, 1)
        _check_branch_cut(np.arccos, [0-2j, 2j], [ 1,  1], 1, 1)
        _check_branch_cut(np.arctan, [ -2,  2], [1j, 1j], 1, 1)

        _check_branch_cut(np.arcsinh, [ -2,  2, 0], [1j, 1j, 1], 1, 1)
        _check_branch_cut(np.arccosh, [0-2j, 2j, 2], [1,  1,  1j], 1, 1)
        _check_branch_cut(np.arctanh, [0-2j, 2j, 0], [1,  1,  1j], 1, 1) 
Example 25
Project: pySINDy   Author: luckystarufo   File: test_umath.py    License: MIT License 6 votes vote down vote up
def test_branch_cuts_complex64(self):
        # check branch cuts and continuity on them
        _check_branch_cut(np.log,   -0.5, 1j, 1, -1, True, np.complex64)
        _check_branch_cut(np.log2,  -0.5, 1j, 1, -1, True, np.complex64)
        _check_branch_cut(np.log10, -0.5, 1j, 1, -1, True, np.complex64)
        _check_branch_cut(np.log1p, -1.5, 1j, 1, -1, True, np.complex64)
        _check_branch_cut(np.sqrt,  -0.5, 1j, 1, -1, True, np.complex64)

        _check_branch_cut(np.arcsin, [ -2, 2],   [1j, 1j], 1, -1, True, np.complex64)
        _check_branch_cut(np.arccos, [ -2, 2],   [1j, 1j], 1, -1, True, np.complex64)
        _check_branch_cut(np.arctan, [0-2j, 2j],  [1,  1], -1, 1, True, np.complex64)

        _check_branch_cut(np.arcsinh, [0-2j,  2j], [1,   1], -1, 1, True, np.complex64)
        _check_branch_cut(np.arccosh, [ -1, 0.5], [1j,  1j], 1, -1, True, np.complex64)
        _check_branch_cut(np.arctanh, [ -2,   2], [1j, 1j], 1, -1, True, np.complex64)

        # check against bogus branch cuts: assert continuity between quadrants
        _check_branch_cut(np.arcsin, [0-2j, 2j], [ 1,  1], 1, 1, False, np.complex64)
        _check_branch_cut(np.arccos, [0-2j, 2j], [ 1,  1], 1, 1, False, np.complex64)
        _check_branch_cut(np.arctan, [ -2,  2], [1j, 1j], 1, 1, False, np.complex64)

        _check_branch_cut(np.arcsinh, [ -2,  2, 0], [1j, 1j, 1], 1, 1, False, np.complex64)
        _check_branch_cut(np.arccosh, [0-2j, 2j, 2], [1,  1,  1j], 1, 1, False, np.complex64)
        _check_branch_cut(np.arctanh, [0-2j, 2j, 0], [1,  1,  1j], 1, 1, False, np.complex64) 
Example 26
Project: pySINDy   Author: luckystarufo   File: test_umath.py    License: MIT License 6 votes vote down vote up
def test_against_cmath(self):
        import cmath

        points = [-1-1j, -1+1j, +1-1j, +1+1j]
        name_map = {'arcsin': 'asin', 'arccos': 'acos', 'arctan': 'atan',
                    'arcsinh': 'asinh', 'arccosh': 'acosh', 'arctanh': 'atanh'}
        atol = 4*np.finfo(complex).eps
        for func in self.funcs:
            fname = func.__name__.split('.')[-1]
            cname = name_map.get(fname, fname)
            try:
                cfunc = getattr(cmath, cname)
            except AttributeError:
                continue
            for p in points:
                a = complex(func(np.complex_(p)))
                b = cfunc(p)
                assert_(abs(a - b) < atol, "%s %s: %s; cmath: %s" % (fname, p, a, b)) 
Example 27
Project: mxnet-lambda   Author: awslabs   File: test_umath.py    License: Apache License 2.0 6 votes vote down vote up
def test_branch_cuts(self):
        # check branch cuts and continuity on them
        yield _check_branch_cut, np.log,   -0.5, 1j, 1, -1, True
        yield _check_branch_cut, np.log2,  -0.5, 1j, 1, -1, True
        yield _check_branch_cut, np.log10, -0.5, 1j, 1, -1, True
        yield _check_branch_cut, np.log1p, -1.5, 1j, 1, -1, True
        yield _check_branch_cut, np.sqrt,  -0.5, 1j, 1, -1, True

        yield _check_branch_cut, np.arcsin, [ -2, 2],   [1j, 1j], 1, -1, True
        yield _check_branch_cut, np.arccos, [ -2, 2],   [1j, 1j], 1, -1, True
        yield _check_branch_cut, np.arctan, [0-2j, 2j],  [1,  1], -1, 1, True

        yield _check_branch_cut, np.arcsinh, [0-2j,  2j], [1,   1], -1, 1, True
        yield _check_branch_cut, np.arccosh, [ -1, 0.5], [1j,  1j], 1, -1, True
        yield _check_branch_cut, np.arctanh, [ -2,   2], [1j, 1j], 1, -1, True

        # check against bogus branch cuts: assert continuity between quadrants
        yield _check_branch_cut, np.arcsin, [0-2j, 2j], [ 1,  1], 1, 1
        yield _check_branch_cut, np.arccos, [0-2j, 2j], [ 1,  1], 1, 1
        yield _check_branch_cut, np.arctan, [ -2,  2], [1j, 1j], 1, 1

        yield _check_branch_cut, np.arcsinh, [ -2,  2, 0], [1j, 1j, 1], 1, 1
        yield _check_branch_cut, np.arccosh, [0-2j, 2j, 2], [1,  1,  1j], 1, 1
        yield _check_branch_cut, np.arctanh, [0-2j, 2j, 0], [1,  1,  1j], 1, 1 
Example 28
Project: mxnet-lambda   Author: awslabs   File: test_umath.py    License: Apache License 2.0 6 votes vote down vote up
def test_branch_cuts_complex64(self):
        # check branch cuts and continuity on them
        yield _check_branch_cut, np.log,   -0.5, 1j, 1, -1, True, np.complex64
        yield _check_branch_cut, np.log2,  -0.5, 1j, 1, -1, True, np.complex64
        yield _check_branch_cut, np.log10, -0.5, 1j, 1, -1, True, np.complex64
        yield _check_branch_cut, np.log1p, -1.5, 1j, 1, -1, True, np.complex64
        yield _check_branch_cut, np.sqrt,  -0.5, 1j, 1, -1, True, np.complex64

        yield _check_branch_cut, np.arcsin, [ -2, 2],   [1j, 1j], 1, -1, True, np.complex64
        yield _check_branch_cut, np.arccos, [ -2, 2],   [1j, 1j], 1, -1, True, np.complex64
        yield _check_branch_cut, np.arctan, [0-2j, 2j],  [1,  1], -1, 1, True, np.complex64

        yield _check_branch_cut, np.arcsinh, [0-2j,  2j], [1,   1], -1, 1, True, np.complex64
        yield _check_branch_cut, np.arccosh, [ -1, 0.5], [1j,  1j], 1, -1, True, np.complex64
        yield _check_branch_cut, np.arctanh, [ -2,   2], [1j, 1j], 1, -1, True, np.complex64

        # check against bogus branch cuts: assert continuity between quadrants
        yield _check_branch_cut, np.arcsin, [0-2j, 2j], [ 1,  1], 1, 1, False, np.complex64
        yield _check_branch_cut, np.arccos, [0-2j, 2j], [ 1,  1], 1, 1, False, np.complex64
        yield _check_branch_cut, np.arctan, [ -2,  2], [1j, 1j], 1, 1, False, np.complex64

        yield _check_branch_cut, np.arcsinh, [ -2,  2, 0], [1j, 1j, 1], 1, 1, False, np.complex64
        yield _check_branch_cut, np.arccosh, [0-2j, 2j, 2], [1,  1,  1j], 1, 1, False, np.complex64
        yield _check_branch_cut, np.arctanh, [0-2j, 2j, 0], [1,  1,  1j], 1, 1, False, np.complex64 
Example 29
Project: mxnet-lambda   Author: awslabs   File: test_umath.py    License: Apache License 2.0 6 votes vote down vote up
def test_against_cmath(self):
        import cmath

        points = [-1-1j, -1+1j, +1-1j, +1+1j]
        name_map = {'arcsin': 'asin', 'arccos': 'acos', 'arctan': 'atan',
                    'arcsinh': 'asinh', 'arccosh': 'acosh', 'arctanh': 'atanh'}
        atol = 4*np.finfo(np.complex).eps
        for func in self.funcs:
            fname = func.__name__.split('.')[-1]
            cname = name_map.get(fname, fname)
            try:
                cfunc = getattr(cmath, cname)
            except AttributeError:
                continue
            for p in points:
                a = complex(func(np.complex_(p)))
                b = cfunc(p)
                assert_(abs(a - b) < atol, "%s %s: %s; cmath: %s" % (fname, p, a, b)) 
Example 30
Project: thewalrus   Author: XanaduAI   File: test_quantum.py    License: Apache License 2.0 6 votes vote down vote up
def test_two_mode_squeezing(choi_r, tol):
    r"""Tests the selection rules of a two mode squeezing operation.
    If one writes the squeezing gate as :math:`S_2` and its matrix elements as
    :math:`\langle p_0 p_1|S_2|q_0 q_1 \rangle` then these elements are nonzero
    if and only if :math:`p_0 - q_0 = p_1 - q_1`. This test checks that this
    selection rule holds.
    """
    cutoff = 5
    nmodes = 2
    s = np.arcsinh(1.0)
    phi = np.pi / 6
    alphas = np.zeros([nmodes])
    S = two_mode_squeezing(s, phi)
    T = fock_tensor(S, alphas, cutoff, choi_r=choi_r)
    for p in product(list(range(cutoff)), repeat=nmodes):
        for q in product(list(range(cutoff)), repeat=nmodes):
            if p[0] - q[0] != p[1] - q[1]:
                t = tuple(list(p) + list(q))
                assert np.allclose(T[t], 0, atol=tol, rtol=0)