def test_secondary_xy():
     chart = XY()
     chart.add(10 * '1', [(30, 5), (20, 12), (25, 4)])
     chart.add(10 * '1b', [(4, 12), (5, 8), (6, 4)], secondary=True)
     chart.add(10 * '2b', [(3, 24), (0, 17), (12, 9)], secondary=True)
     chart.add(10 * '2', [(8, 23), (21, 1), (5, 0)])
     return chart.render_response()

    def test_xy_links():
        xy = XY(style=styles['neon'], interpolate='cubic')
        xy.add(
            '1234', [{
                'value': (10, 5),
                'label': 'Ten',
                'xlink': 'http://google.com?q=10'
            }, {
                'value': (20, 20),
                'tooltip': 'Twenty',
                'xlink': 'http://google.com?q=20'
            }, (30, 15), {
                'value': (40, -5),
                'label': 'Forty',
                'xlink': 'http://google.com?q=40'
            }]
        )

        xy.add(
            '4321', [(40, 10), {
                'value': (30, 3),
                'label': 'Thirty',
                'xlink': 'http://google.com?q=30'
            }, (20, 10), (10, 21)]
        )
        xy.x_labels = list(range(1, 50))
        xy.y_labels = list(range(1, 50))
        return xy.render_response()

    def test_xy_links():
        xy = XY(style=styles["neon"], interpolate="cubic")
        xy.add(
            "1234",
            [
                {"value": (10, 5), "label": "Ten", "xlink": "http://google.com?q=10"},
                {"value": (20, 20), "tooltip": "Twenty", "xlink": "http://google.com?q=20"},
                (30, 15),
                {"value": (40, -5), "label": "Forty", "xlink": "http://google.com?q=40"},
            ],
        )

        xy.add(
            "4321",
            [(40, 10), {"value": (30, 3), "label": "Thirty", "xlink": "http://google.com?q=30"}, (20, 10), (10, 21)],
        )
        xy.x_labels = list(range(1, 50))
        xy.y_labels = list(range(1, 50))
        return xy.render_response()

 def test_fill_with_none():
     graph = XY(fill=True)
     graph.add('1', [(1, 2), (3, 3), (3.5, 5), (5, 1)])
     graph.add('2', [(1, 9), (None, 5), (5, 23)])
     return graph.render_response()

 def test_xy_single():
     graph = XY(interpolate='cubic')
     graph.add('Single', [(1, 1)])
     return graph.render_response()

                for m in range(n + 1):
                    if m == k:
                        continue
                    p *= sin(0.5 * (X - x[m])) / sin(0.5 * (x[k] - x[m]))
                s += y[k] * p
            yield X, s

"""
These functions takes two lists of points x and y and
returns an iterator over the interpolation between all these points
with `precision` interpolated points between each of them

"""
INTERPOLATIONS = {
    'quadratic': quadratic_interpolate,
    'cubic': cubic_interpolate,
    'hermite': hermite_interpolate,
    'lagrange': lagrange_interpolate,
    'trigonometric': trigonometric_interpolate
}


if __name__ == '__main__':
    from pygal import XY
    points = [(.1, 7), (.3, -4), (.6, 10), (.9, 8), (1.4, 3), (1.7, 1)]
    xy = XY(show_dots=False)
    xy.add('normal', points)
    xy.add('quadratic', quadratic_interpolate(*zip(*points)))
    xy.add('cubic', cubic_interpolate(*zip(*points)))
    xy.render_in_browser()

 def test_secondary_xy():
     chart = XY()
     chart.add(10 * '1', [(30, 5), (20, 12), (25, 4)])
     chart.add(10 * '1b', [(4, 12), (5, 8), (6, 4)], secondary=True)
     chart.add(10 * '2b', [(3, 24), (0, 17), (12, 9)], secondary=True)
     chart.add(10 * '2', [(8, 23), (21, 1), (5, 0)])
     chart.value_formatter = lambda x: str(int(x)) + '+'
     return chart.render_response()

                s += y[k] * p
            yield X, s

INTERPOLATIONS = {
    'quadratic': quadratic_interpolate,
    'cubic': cubic_interpolate,
    'hermite': hermite_interpolate,
    'lagrange': lagrange_interpolate,
    'trigonometric': trigonometric_interpolate
}


if __name__ == '__main__':
    from pygal import XY
    points = [(.1, 7), (.3, -4), (.6, 10), (.9, 8), (1.4, 3), (1.7, 1)]
    xy = XY(show_dots=False)
    xy.add('normal', points)
    xy.add('quadratic', quadratic_interpolate(*zip(*points)))
    xy.add('cubic', cubic_interpolate(*zip(*points)))
    xy.add('lagrange', lagrange_interpolate(*zip(*points)))
    xy.add('trigonometric', trigonometric_interpolate(*zip(*points)))
    xy.add('hermite catmul_rom', hermite_interpolate(
        *zip(*points), type='catmul_rom'))
    xy.add('hermite finite_difference', hermite_interpolate(
        *zip(*points), type='finite_difference'))
    xy.add('hermite cardinal -.5', hermite_interpolate(
        *zip(*points), type='cardinal', c=-.5))
    xy.add('hermite cardinal .5', hermite_interpolate(
        *zip(*points), type='cardinal', c=.5))
    xy.add('hermite kochanek_bartels .5 .75 -.25', hermite_interpolate(
        *zip(*points), type='kochanek_bartels', c=.5, b=.75, t=-.25))