def METHOD_NAME(self):  # lint-amnesty, pylint: disable=too-many-statements
    # Test default tolerance '0.001%' (it is relative)
    result = compare_with_tolerance(100.0, 100.0)
    assert result
    result = compare_with_tolerance(100.001, 100.0)
    assert result
    result = compare_with_tolerance(101.0, 100.0)
    assert not result
    # Test absolute percentage tolerance
    result = compare_with_tolerance(109.9, 100.0, '10%', False)
    assert result
    result = compare_with_tolerance(110.1, 100.0, '10%', False)
    assert not result
    # Test relative percentage tolerance
    result = compare_with_tolerance(111.0, 100.0, '10%', True)
    assert result
    result = compare_with_tolerance(112.0, 100.0, '10%', True)
    assert not result
    # Test absolute tolerance (string)
    result = compare_with_tolerance(109.9, 100.0, '10.0', False)
    assert result
    result = compare_with_tolerance(110.1, 100.0, '10.0', False)
    assert not result
    # Test relative tolerance (string)
    result = compare_with_tolerance(111.0, 100.0, '0.1', True)
    assert result
    result = compare_with_tolerance(112.0, 100.0, '0.1', True)
    assert not result
    # Test absolute tolerance (float)
    result = compare_with_tolerance(109.9, 100.0, 10.0, False)
    assert result
    result = compare_with_tolerance(110.1, 100.0, 10.0, False)
    assert not result
    # Test relative tolerance (float)
    result = compare_with_tolerance(111.0, 100.0, 0.1, True)
    assert result
    result = compare_with_tolerance(112.0, 100.0, 0.1, True)
    assert not result
    ##### Infinite values #####
    infinity = float('Inf')
    # Test relative tolerance (float)
    result = compare_with_tolerance(infinity, 100.0, 1.0, True)
    assert not result
    result = compare_with_tolerance(100.0, infinity, 1.0, True)
    assert not result
    result = compare_with_tolerance(infinity, infinity, 1.0, True)
    assert result
    # Test absolute tolerance (float)
    result = compare_with_tolerance(infinity, 100.0, 1.0, False)
    assert not result
    result = compare_with_tolerance(100.0, infinity, 1.0, False)
    assert not result
    result = compare_with_tolerance(infinity, infinity, 1.0, False)
    assert result
    # Test relative tolerance (string)
    result = compare_with_tolerance(infinity, 100.0, '1.0', True)
    assert not result
    result = compare_with_tolerance(100.0, infinity, '1.0', True)
    assert not result
    result = compare_with_tolerance(infinity, infinity, '1.0', True)
    assert result
    # Test absolute tolerance (string)
    result = compare_with_tolerance(infinity, 100.0, '1.0', False)
    assert not result
    result = compare_with_tolerance(100.0, infinity, '1.0', False)
    assert not result
    result = compare_with_tolerance(infinity, infinity, '1.0', False)
    assert result
    # Test absolute tolerance for smaller values
    result = compare_with_tolerance(100.01, 100.0, 0.01, False)
    assert result
    result = compare_with_tolerance(100.001, 100.0, 0.001, False)
    assert result
    result = compare_with_tolerance(100.01, 100.0, '0.01%', False)
    assert result
    result = compare_with_tolerance(100.002, 100.0, 0.001, False)
    assert not result
    result = compare_with_tolerance(0.4, 0.44, 0.01, False)
    assert not result
    result = compare_with_tolerance(100.01, 100.0, 0.010, False)
    assert result
    # Test complex_number instructor_complex
    result = compare_with_tolerance(0.4, complex(0.44, 0), 0.01, False)
    assert not result
    result = compare_with_tolerance(100.01, complex(100.0, 0), 0.010, False)
    assert result
    result = compare_with_tolerance(110.1, complex(100.0, 0), '10.0', False)
    assert not result
    result = compare_with_tolerance(111.0, complex(100.0, 0), '10%', True)
    assert result