Python numpy.single() Examples

def do(self, a, b, tags):
        d = linalg.det(a)
        (s, ld) = linalg.slogdet(a)
        if asarray(a).dtype.type in (single, double):
            ad = asarray(a).astype(double)
        else:
            ad = asarray(a).astype(cdouble)
        ev = linalg.eigvals(ad)
        assert_almost_equal(d, multiply.reduce(ev, axis=-1))
        assert_almost_equal(s * np.exp(ld), multiply.reduce(ev, axis=-1))

        s = np.atleast_1d(s)
        ld = np.atleast_1d(ld)
        m = (s != 0)
        assert_almost_equal(np.abs(s[m]), 1)
        assert_equal(ld[~m], -inf) 

def do(self, a, b):
        d = linalg.det(a)
        (s, ld) = linalg.slogdet(a)
        if asarray(a).dtype.type in (single, double):
            ad = asarray(a).astype(double)
        else:
            ad = asarray(a).astype(cdouble)
        ev = linalg.eigvals(ad)
        assert_almost_equal(d, multiply.reduce(ev, axis=-1))
        assert_almost_equal(s * np.exp(ld), multiply.reduce(ev, axis=-1))

        s = np.atleast_1d(s)
        ld = np.atleast_1d(ld)
        m = (s != 0)
        assert_almost_equal(np.abs(s[m]), 1)
        assert_equal(ld[~m], -inf) 

def do(self, a, b):
        d = linalg.det(a)
        (s, ld) = linalg.slogdet(a)
        if asarray(a).dtype.type in (single, double):
            ad = asarray(a).astype(double)
        else:
            ad = asarray(a).astype(cdouble)
        ev = linalg.eigvals(ad)
        assert_almost_equal(d, multiply.reduce(ev, axis=-1))
        assert_almost_equal(s * np.exp(ld), multiply.reduce(ev, axis=-1))

        s = np.atleast_1d(s)
        ld = np.atleast_1d(ld)
        m = (s != 0)
        assert_almost_equal(np.abs(s[m]), 1)
        assert_equal(ld[~m], -inf) 

def do(self, a, b, tags):
        d = linalg.det(a)
        (s, ld) = linalg.slogdet(a)
        if asarray(a).dtype.type in (single, double):
            ad = asarray(a).astype(double)
        else:
            ad = asarray(a).astype(cdouble)
        ev = linalg.eigvals(ad)
        assert_almost_equal(d, multiply.reduce(ev, axis=-1))
        assert_almost_equal(s * np.exp(ld), multiply.reduce(ev, axis=-1))

        s = np.atleast_1d(s)
        ld = np.atleast_1d(ld)
        m = (s != 0)
        assert_almost_equal(np.abs(s[m]), 1)
        assert_equal(ld[~m], -inf) 

def test_floating_overflow(self):
        """ Strings containing an unrepresentable float overflow """
        fhalf = np.half('1e10000')
        assert_equal(fhalf, np.inf)
        fsingle = np.single('1e10000')
        assert_equal(fsingle, np.inf)
        fdouble = np.double('1e10000')
        assert_equal(fdouble, np.inf)
        flongdouble = assert_warns(RuntimeWarning, np.longdouble, '1e10000')
        assert_equal(flongdouble, np.inf)

        fhalf = np.half('-1e10000')
        assert_equal(fhalf, -np.inf)
        fsingle = np.single('-1e10000')
        assert_equal(fsingle, -np.inf)
        fdouble = np.double('-1e10000')
        assert_equal(fdouble, -np.inf)
        flongdouble = assert_warns(RuntimeWarning, np.longdouble, '-1e10000')
        assert_equal(flongdouble, -np.inf) 

def align(image, points):
    """
    :param image:
    :param points:
    :return: aligned image
    """
    # alignment
    origin_point = np.require(np.array(points).reshape((4, 2)), dtype=np.single)
    height = int(max(np.linalg.norm(origin_point[0] - origin_point[1]), np.linalg.norm(origin_point[2] - origin_point[3])))
    width = int(max(np.linalg.norm(origin_point[0] - origin_point[3]), np.linalg.norm(origin_point[1] - origin_point[2])))

    target_point = np.float32([[0, 0], [0, height], [width, height], [width, 0]])
    map_matrix = cv2.getPerspectiveTransform(origin_point, target_point)
    cols = width + 1
    rows = height + 1
    color = cv2.warpPerspective(image, map_matrix, (cols, rows))
    return color 

def test_floating_overflow(self):
        """ Strings containing an unrepresentable float overflow """
        fhalf = np.half('1e10000')
        assert_equal(fhalf, np.inf)
        fsingle = np.single('1e10000')
        assert_equal(fsingle, np.inf)
        fdouble = np.double('1e10000')
        assert_equal(fdouble, np.inf)
        flongdouble = assert_warns(RuntimeWarning, np.longdouble, '1e10000')
        assert_equal(flongdouble, np.inf)

        fhalf = np.half('-1e10000')
        assert_equal(fhalf, -np.inf)
        fsingle = np.single('-1e10000')
        assert_equal(fsingle, -np.inf)
        fdouble = np.double('-1e10000')
        assert_equal(fdouble, -np.inf)
        flongdouble = assert_warns(RuntimeWarning, np.longdouble, '-1e10000')
        assert_equal(flongdouble, -np.inf) 

def test_mode_raw(self):
        # The factorization is not unique and varies between libraries,
        # so it is not possible to check against known values. Functional
        # testing is a possibility, but awaits the exposure of more
        # of the functions in lapack_lite. Consequently, this test is
        # very limited in scope. Note that the results are in FORTRAN
        # order, hence the h arrays are transposed.
        a = array([[1, 2], [3, 4], [5, 6]], dtype=np.double)
        b = a.astype(np.single)

        # Test double
        h, tau = linalg.qr(a, mode='raw')
        assert_(h.dtype == np.double)
        assert_(tau.dtype == np.double)
        assert_(h.shape == (2, 3))
        assert_(tau.shape == (2,))

        h, tau = linalg.qr(a.T, mode='raw')
        assert_(h.dtype == np.double)
        assert_(tau.dtype == np.double)
        assert_(h.shape == (3, 2))
        assert_(tau.shape == (2,)) 

def do(self, a, b):
        d = linalg.det(a)
        (s, ld) = linalg.slogdet(a)
        if asarray(a).dtype.type in (single, double):
            ad = asarray(a).astype(double)
        else:
            ad = asarray(a).astype(cdouble)
        ev = linalg.eigvals(ad)
        assert_almost_equal(d, multiply.reduce(ev, axis=-1))
        assert_almost_equal(s * np.exp(ld), multiply.reduce(ev, axis=-1))

        s = np.atleast_1d(s)
        ld = np.atleast_1d(ld)
        m = (s != 0)
        assert_almost_equal(np.abs(s[m]), 1)
        assert_equal(ld[~m], -inf) 

def test_floating(self):
        # Ticket #640, floats from string
        fsingle = np.single('1.234')
        fdouble = np.double('1.234')
        flongdouble = np.longdouble('1.234')
        assert_almost_equal(fsingle, 1.234)
        assert_almost_equal(fdouble, 1.234)
        assert_almost_equal(flongdouble, 1.234) 

def test_types(self):
        def check(dtype):
            x = np.array([[1, 0.5], [0.5, 1]], dtype=dtype)
            u, s, vh = linalg.svd(x)
            assert_equal(u.dtype, dtype)
            assert_equal(s.dtype, get_real_dtype(dtype))
            assert_equal(vh.dtype, dtype)
            s = linalg.svd(x, compute_uv=False)
            assert_equal(s.dtype, get_real_dtype(dtype))

        for dtype in [single, double, csingle, cdouble]:
            yield check, dtype 

def test_singleton(self):
        ftype = finfo(single)
        ftype2 = finfo(single)
        assert_equal(id(ftype), id(ftype2)) 

def test_compress_small_type(self, level=rlevel):
        """Ticket #789, changeset 5217.
        """
        # compress with out argument segfaulted if cannot cast safely
        import numpy as np
        a = np.array([[1, 2], [3, 4]])
        b = np.zeros((2, 1), dtype = np.single)
        try:
            a.compress([True, False], axis = 1, out = b)
            raise AssertionError("compress with an out which cannot be " \
                                 "safely casted should not return "\
                                 "successfully")
        except TypeError:
            pass 

def test_types(self):
        def check(dtype):
            x = np.array([[1, 0.5], [0.5, 1]], dtype=dtype)
            w = np.linalg.eigvalsh(x)
            assert_equal(w.dtype, get_real_dtype(dtype))
        for dtype in [single, double, csingle, cdouble]:
            yield check, dtype 

def test_types(self):
        def check(dtype):
            x = np.array([[1, 0.5], [0.5, 1]], dtype=dtype)
            w, v = np.linalg.eigh(x)
            assert_equal(w.dtype, get_real_dtype(dtype))
            assert_equal(v.dtype, dtype)
        for dtype in [single, double, csingle, cdouble]:
            yield check, dtype 

def test_export_record(self):
        dt = [('a', 'b'),
              ('b', 'h'),
              ('c', 'i'),
              ('d', 'l'),
              ('dx', 'q'),
              ('e', 'B'),
              ('f', 'H'),
              ('g', 'I'),
              ('h', 'L'),
              ('hx', 'Q'),
              ('i', np.single),
              ('j', np.double),
              ('k', np.longdouble),
              ('ix', np.csingle),
              ('jx', np.cdouble),
              ('kx', np.clongdouble),
              ('l', 'S4'),
              ('m', 'U4'),
              ('n', 'V3'),
              ('o', '?'),
              ('p', np.half),
             ]
        x = np.array(
                [(1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
                    asbytes('aaaa'), 'bbbb', asbytes('   '), True, 1.0)],
                dtype=dt)
        y = memoryview(x)
        assert_equal(y.shape, (1,))
        assert_equal(y.ndim, 1)
        assert_equal(y.suboffsets, EMPTY)

        sz = sum([dtype(b).itemsize for a, b in dt])
        if dtype('l').itemsize == 4:
            assert_equal(y.format, 'T{b:a:=h:b:i:c:l:d:^q:dx:B:e:@H:f:=I:g:L:h:^Q:hx:=f:i:d:j:^g:k:=Zf:ix:Zd:jx:^Zg:kx:4s:l:=4w:m:3x:n:?:o:@e:p:}')
        else:
            assert_equal(y.format, 'T{b:a:=h:b:i:c:q:d:^q:dx:B:e:@H:f:=I:g:Q:h:^Q:hx:=f:i:d:j:^g:k:=Zf:ix:Zd:jx:^Zg:kx:4s:l:=4w:m:3x:n:?:o:@e:p:}')
        # Cannot test if NPY_RELAXED_STRIDES_CHECKING changes the strides
        if not (np.ones(1).strides[0] == np.iinfo(np.intp).max):
            assert_equal(y.strides, (sz,))
        assert_equal(y.itemsize, sz) 

def test_singleton(self):
        ftype = finfo(single)
        ftype2 = finfo(single)
        assert_equal(id(ftype), id(ftype2)) 

def assert_almost_equal(a, b, single_decimal=6, double_decimal=12, **kw):
    if asarray(a).dtype.type in (single, csingle):
        decimal = single_decimal
    else:
        decimal = double_decimal
    old_assert_almost_equal(a, b, decimal=decimal, **kw) 

def test_types(self):
        def check(dtype):
            x = np.array([[1, 0.5], [0.5, 1]], dtype=dtype)
            w, v = np.linalg.eigh(x)
            assert_equal(w.dtype, get_real_dtype(dtype))
            assert_equal(v.dtype, dtype)
        for dtype in [single, double, csingle, cdouble]:
            yield check, dtype 

def test_types(self):
        def check(dtype):
            x = np.array([[1, 0.5], [0.5, 1]], dtype=dtype)
            w = np.linalg.eigvalsh(x)
            assert_equal(w.dtype, get_real_dtype(dtype))
        for dtype in [single, double, csingle, cdouble]:
            yield check, dtype 

def assert_almost_equal(a, b, **kw):
    if asarray(a).dtype.type in (single, csingle):
        decimal = 6
    else:
        decimal = 12
    old_assert_almost_equal(a, b, decimal=decimal, **kw) 

def test_types(self):
        def check(dtype):
            x = np.array([[1, 0.5], [0.5, 1]], dtype=dtype)
            w, v = np.linalg.eig(x)
            assert_equal(w.dtype, dtype)
            assert_equal(v.dtype, dtype)

            x = np.array([[1, 0.5], [-1, 1]], dtype=dtype)
            w, v = np.linalg.eig(x)
            assert_equal(w.dtype, get_complex_dtype(dtype))
            assert_equal(v.dtype, get_complex_dtype(dtype))

        for dtype in [single, double, csingle, cdouble]:
            yield check, dtype 

def test_types(self):
        def check(dtype):
            x = np.array([[1, 0.5], [0.5, 1]], dtype=dtype)
            assert_equal(linalg.eigvals(x).dtype, dtype)
            x = np.array([[1, 0.5], [-1, 1]], dtype=dtype)
            assert_equal(linalg.eigvals(x).dtype, get_complex_dtype(dtype))
        for dtype in [single, double, csingle, cdouble]:
            yield check, dtype 

def test_types(self):
        def check(dtype):
            x = np.array([[1, 0.5], [0.5, 1]], dtype=dtype)
            assert_equal(linalg.inv(x).dtype, dtype)
        for dtype in [single, double, csingle, cdouble]:
            yield check, dtype 

def test_types(self):
        def check(dtype):
            x = np.array([[1, 0.5], [0.5, 1]], dtype=dtype)
            assert_equal(linalg.solve(x, x).dtype, dtype)
        for dtype in [single, double, csingle, cdouble]:
            yield check, dtype 

def get_rtol(dtype):
    # Choose a safe rtol
    if dtype in (single, csingle):
        return 1e-5
    else:
        return 1e-11


# used to categorize tests 

def get_complex_dtype(dtype):
    return {single: csingle, double: cdouble,
            csingle: csingle, cdouble: cdouble}[dtype] 

def get_real_dtype(dtype):
    return {single: single, double: double,
            csingle: single, cdouble: double}[dtype] 

def assert_almost_equal(a, b, single_decimal=6, double_decimal=12, **kw):
    if asarray(a).dtype.type in (single, csingle):
        decimal = single_decimal
    else:
        decimal = double_decimal
    old_assert_almost_equal(a, b, decimal=decimal, **kw) 

def test_compress_small_type(self, level=rlevel):
        # Ticket #789, changeset 5217.
        # compress with out argument segfaulted if cannot cast safely
        import numpy as np
        a = np.array([[1, 2], [3, 4]])
        b = np.zeros((2, 1), dtype=np.single)
        try:
            a.compress([True, False], axis=1, out=b)
            raise AssertionError("compress with an out which cannot be "
                                 "safely casted should not return "
                                 "successfully")
        except TypeError:
            pass