eaiaiaiaoi/venv/lib/python2.7/site-packages/numpy/matrixlib/tests/test_interaction.py

"""Tests of interaction of matrix with other parts of numpy.

Note that tests with MaskedArray and linalg are done in separate files.
"""
from __future__ import division, absolute_import, print_function

import pytest

import textwrap
import warnings

import numpy as np
from numpy.testing import (assert_, assert_equal, assert_raises,
                           assert_raises_regex, assert_array_equal,
                           assert_almost_equal, assert_array_almost_equal)


def test_fancy_indexing():
    # The matrix class messes with the shape. While this is always
    # weird (getitem is not used, it does not have setitem nor knows
    # about fancy indexing), this tests gh-3110
    # 2018-04-29: moved here from core.tests.test_index.
    m = np.matrix([[1, 2], [3, 4]])

    assert_(isinstance(m[[0, 1, 0], :], np.matrix))

    # gh-3110. Note the transpose currently because matrices do *not*
    # support dimension fixing for fancy indexing correctly.
    x = np.asmatrix(np.arange(50).reshape(5, 10))
    assert_equal(x[:2, np.array(-1)], x[:2, -1].T)


def test_polynomial_mapdomain():
    # test that polynomial preserved matrix subtype.
    # 2018-04-29: moved here from polynomial.tests.polyutils.
    dom1 = [0, 4]
    dom2 = [1, 3]
    x = np.matrix([dom1, dom1])
    res = np.polynomial.polyutils.mapdomain(x, dom1, dom2)
    assert_(isinstance(res, np.matrix))


def test_sort_matrix_none():
    # 2018-04-29: moved here from core.tests.test_multiarray
    a = np.matrix([[2, 1, 0]])
    actual = np.sort(a, axis=None)
    expected = np.matrix([[0, 1, 2]])
    assert_equal(actual, expected)
    assert_(type(expected) is np.matrix)


def test_partition_matrix_none():
    # gh-4301
    # 2018-04-29: moved here from core.tests.test_multiarray
    a = np.matrix([[2, 1, 0]])
    actual = np.partition(a, 1, axis=None)
    expected = np.matrix([[0, 1, 2]])
    assert_equal(actual, expected)
    assert_(type(expected) is np.matrix)


def test_dot_scalar_and_matrix_of_objects():
    # Ticket #2469
    # 2018-04-29: moved here from core.tests.test_multiarray
    arr = np.matrix([1, 2], dtype=object)
    desired = np.matrix([[3, 6]], dtype=object)
    assert_equal(np.dot(arr, 3), desired)
    assert_equal(np.dot(3, arr), desired)


def test_inner_scalar_and_matrix():
    # 2018-04-29: moved here from core.tests.test_multiarray
    for dt in np.typecodes['AllInteger'] + np.typecodes['AllFloat'] + '?':
        sca = np.array(3, dtype=dt)[()]
        arr = np.matrix([[1, 2], [3, 4]], dtype=dt)
        desired = np.matrix([[3, 6], [9, 12]], dtype=dt)
        assert_equal(np.inner(arr, sca), desired)
        assert_equal(np.inner(sca, arr), desired)


def test_inner_scalar_and_matrix_of_objects():
    # Ticket #4482
    # 2018-04-29: moved here from core.tests.test_multiarray
    arr = np.matrix([1, 2], dtype=object)
    desired = np.matrix([[3, 6]], dtype=object)
    assert_equal(np.inner(arr, 3), desired)
    assert_equal(np.inner(3, arr), desired)


def test_iter_allocate_output_subtype():
    # Make sure that the subtype with priority wins
    # 2018-04-29: moved here from core.tests.test_nditer, given the
    # matrix specific shape test.

    # matrix vs ndarray
    a = np.matrix([[1, 2], [3, 4]])
    b = np.arange(4).reshape(2, 2).T
    i = np.nditer([a, b, None], [],
                  [['readonly'], ['readonly'], ['writeonly', 'allocate']])
    assert_(type(i.operands[2]) is np.matrix)
    assert_(type(i.operands[2]) is not np.ndarray)
    assert_equal(i.operands[2].shape, (2, 2))

    # matrix always wants things to be 2D
    b = np.arange(4).reshape(1, 2, 2)
    assert_raises(RuntimeError, np.nditer, [a, b, None], [],
                  [['readonly'], ['readonly'], ['writeonly', 'allocate']])
    # but if subtypes are disabled, the result can still work
    i = np.nditer([a, b, None], [],
                  [['readonly'], ['readonly'],
                   ['writeonly', 'allocate', 'no_subtype']])
    assert_(type(i.operands[2]) is np.ndarray)
    assert_(type(i.operands[2]) is not np.matrix)
    assert_equal(i.operands[2].shape, (1, 2, 2))


def like_function():
    # 2018-04-29: moved here from core.tests.test_numeric
    a = np.matrix([[1, 2], [3, 4]])
    for like_function in np.zeros_like, np.ones_like, np.empty_like:
        b = like_function(a)
        assert_(type(b) is np.matrix)

        c = like_function(a, subok=False)
        assert_(type(c) is not np.matrix)


def test_array_astype():
    # 2018-04-29: copied here from core.tests.test_api
    # subok=True passes through a matrix
    a = np.matrix([[0, 1, 2], [3, 4, 5]], dtype='f4')
    b = a.astype('f4', subok=True, copy=False)
    assert_(a is b)

    # subok=True is default, and creates a subtype on a cast
    b = a.astype('i4', copy=False)
    assert_equal(a, b)
    assert_equal(type(b), np.matrix)

    # subok=False never returns a matrix
    b = a.astype('f4', subok=False, copy=False)
    assert_equal(a, b)
    assert_(not (a is b))
    assert_(type(b) is not np.matrix)


def test_stack():
    # 2018-04-29: copied here from core.tests.test_shape_base
    # check np.matrix cannot be stacked
    m = np.matrix([[1, 2], [3, 4]])
    assert_raises_regex(ValueError, 'shape too large to be a matrix',
                        np.stack, [m, m])


def test_object_scalar_multiply():
    # Tickets #2469 and #4482
    # 2018-04-29: moved here from core.tests.test_ufunc
    arr = np.matrix([1, 2], dtype=object)
    desired = np.matrix([[3, 6]], dtype=object)
    assert_equal(np.multiply(arr, 3), desired)
    assert_equal(np.multiply(3, arr), desired)


def test_nanfunctions_matrices():
    # Check that it works and that type and
    # shape are preserved
    # 2018-04-29: moved here from core.tests.test_nanfunctions
    mat = np.matrix(np.eye(3))
    for f in [np.nanmin, np.nanmax]:
        res = f(mat, axis=0)
        assert_(isinstance(res, np.matrix))
        assert_(res.shape == (1, 3))
        res = f(mat, axis=1)
        assert_(isinstance(res, np.matrix))
        assert_(res.shape == (3, 1))
        res = f(mat)
        assert_(np.isscalar(res))
    # check that rows of nan are dealt with for subclasses (#4628)
    mat[1] = np.nan
    for f in [np.nanmin, np.nanmax]:
        with warnings.catch_warnings(record=True) as w:
            warnings.simplefilter('always')
            res = f(mat, axis=0)
            assert_(isinstance(res, np.matrix))
            assert_(not np.any(np.isnan(res)))
            assert_(len(w) == 0)

        with warnings.catch_warnings(record=True) as w:
            warnings.simplefilter('always')
            res = f(mat, axis=1)
            assert_(isinstance(res, np.matrix))
            assert_(np.isnan(res[1, 0]) and not np.isnan(res[0, 0])
                    and not np.isnan(res[2, 0]))
            assert_(len(w) == 1, 'no warning raised')
            assert_(issubclass(w[0].category, RuntimeWarning))

        with warnings.catch_warnings(record=True) as w:
            warnings.simplefilter('always')
            res = f(mat)
            assert_(np.isscalar(res))
            assert_(res != np.nan)
            assert_(len(w) == 0)


def test_nanfunctions_matrices_general():
    # Check that it works and that type and
    # shape are preserved
    # 2018-04-29: moved here from core.tests.test_nanfunctions
    mat = np.matrix(np.eye(3))
    for f in (np.nanargmin, np.nanargmax, np.nansum, np.nanprod,
              np.nanmean, np.nanvar, np.nanstd):
        res = f(mat, axis=0)
        assert_(isinstance(res, np.matrix))
        assert_(res.shape == (1, 3))
        res = f(mat, axis=1)
        assert_(isinstance(res, np.matrix))
        assert_(res.shape == (3, 1))
        res = f(mat)
        assert_(np.isscalar(res))

    for f in np.nancumsum, np.nancumprod:
        res = f(mat, axis=0)
        assert_(isinstance(res, np.matrix))
        assert_(res.shape == (3, 3))
        res = f(mat, axis=1)
        assert_(isinstance(res, np.matrix))
        assert_(res.shape == (3, 3))
        res = f(mat)
        assert_(isinstance(res, np.matrix))
        assert_(res.shape == (1, 3*3))


def test_average_matrix():
    # 2018-04-29: moved here from core.tests.test_function_base.
    y = np.matrix(np.random.rand(5, 5))
    assert_array_equal(y.mean(0), np.average(y, 0))

    a = np.matrix([[1, 2], [3, 4]])
    w = np.matrix([[1, 2], [3, 4]])

    r = np.average(a, axis=0, weights=w)
    assert_equal(type(r), np.matrix)
    assert_equal(r, [[2.5, 10.0/3]])


def test_trapz_matrix():
    # Test to make sure matrices give the same answer as ndarrays
    # 2018-04-29: moved here from core.tests.test_function_base.
    x = np.linspace(0, 5)
    y = x * x
    r = np.trapz(y, x)
    mx = np.matrix(x)
    my = np.matrix(y)
    mr = np.trapz(my, mx)
    assert_almost_equal(mr, r)


def test_ediff1d_matrix():
    # 2018-04-29: moved here from core.tests.test_arraysetops.
    assert(isinstance(np.ediff1d(np.matrix(1)), np.matrix))
    assert(isinstance(np.ediff1d(np.matrix(1), to_begin=1), np.matrix))


def test_apply_along_axis_matrix():
    # this test is particularly malicious because matrix
    # refuses to become 1d
    # 2018-04-29: moved here from core.tests.test_shape_base.
    def double(row):
        return row * 2

    m = np.matrix([[0, 1], [2, 3]])
    expected = np.matrix([[0, 2], [4, 6]])

    result = np.apply_along_axis(double, 0, m)
    assert_(isinstance(result, np.matrix))
    assert_array_equal(result, expected)

    result = np.apply_along_axis(double, 1, m)
    assert_(isinstance(result, np.matrix))
    assert_array_equal(result, expected)


def test_kron_matrix():
    # 2018-04-29: moved here from core.tests.test_shape_base.
    a = np.ones([2, 2])
    m = np.asmatrix(a)
    assert_equal(type(np.kron(a, a)), np.ndarray)
    assert_equal(type(np.kron(m, m)), np.matrix)
    assert_equal(type(np.kron(a, m)), np.matrix)
    assert_equal(type(np.kron(m, a)), np.matrix)


class TestConcatenatorMatrix(object):
    # 2018-04-29: moved here from core.tests.test_index_tricks.
    def test_matrix(self):
        a = [1, 2]
        b = [3, 4]

        ab_r = np.r_['r', a, b]
        ab_c = np.r_['c', a, b]

        assert_equal(type(ab_r), np.matrix)
        assert_equal(type(ab_c), np.matrix)

        assert_equal(np.array(ab_r), [[1, 2, 3, 4]])
        assert_equal(np.array(ab_c), [[1], [2], [3], [4]])

        assert_raises(ValueError, lambda: np.r_['rc', a, b])

    def test_matrix_scalar(self):
        r = np.r_['r', [1, 2], 3]
        assert_equal(type(r), np.matrix)
        assert_equal(np.array(r), [[1, 2, 3]])

    def test_matrix_builder(self):
        a = np.array([1])
        b = np.array([2])
        c = np.array([3])
        d = np.array([4])
        actual = np.r_['a, b; c, d']
        expected = np.bmat([[a, b], [c, d]])

        assert_equal(actual, expected)
        assert_equal(type(actual), type(expected))


def test_array_equal_error_message_matrix():
    # 2018-04-29: moved here from testing.tests.test_utils.
    try:
        assert_equal(np.array([1, 2]), np.matrix([1, 2]))
    except AssertionError as e:
        msg = str(e)
        msg2 = msg.replace("shapes (2L,), (1L, 2L)", "shapes (2,), (1, 2)")
        msg_reference = textwrap.dedent("""\

        Arrays are not equal

        (shapes (2,), (1, 2) mismatch)
         x: array([1, 2])
         y: matrix([[1, 2]])""")
        try:
            assert_equal(msg, msg_reference)
        except AssertionError:
            assert_equal(msg2, msg_reference)
    else:
        raise AssertionError("Did not raise")


def test_array_almost_equal_matrix():
    # Matrix slicing keeps things 2-D, while array does not necessarily.
    # See gh-8452.
    # 2018-04-29: moved here from testing.tests.test_utils.
    m1 = np.matrix([[1., 2.]])
    m2 = np.matrix([[1., np.nan]])
    m3 = np.matrix([[1., -np.inf]])
    m4 = np.matrix([[np.nan, np.inf]])
    m5 = np.matrix([[1., 2.], [np.nan, np.inf]])
    for assert_func in assert_array_almost_equal, assert_almost_equal:
        for m in m1, m2, m3, m4, m5:
            assert_func(m, m)
            a = np.array(m)
            assert_func(a, m)
            assert_func(m, a)