# -*- coding: utf-8 -*-
from ControlPoint import ControlPoint
class BezierCurve(object):
    '''An arbitrary degree two-dimensional Bezier curve.

        ::

            >>> b = BezierCurve((0, 0), (50, 100), (100, 0))
            >>> b
            BezierCurve((0, 0), (50, 100), (100, 0))
            >>> len(b)
            100
            >>> x = 25
            >>> x in b
            True
            >>> b(x)
            37.5
    '''
    __slots__ = ('_control_points',)

    ### INITIALIZER ###

    def __init__(self, *control_points):
        self._control_points = []
        for point in control_points:
            self._control_points.append(ControlPoint(point))

    ### SPECIAL METHODS ###

    def __call__(self, x):
        from ControlPoint import ControlPoint
        x = float(x)
        x0 = self._control_points[0][0]
        x1 = self._control_points[-1][0]
        t = (x - x0) / (x1 - x0)
        point = self._evaluate(self._control_points, t)
        return point[0][1]

    def __contains__(self, x):
        if self._control_points[0][0] <= x <= self._control_points[-1][0]:
            return True
        else:
            return False

    def __len__(self):
        return self._control_points[-1][0] - self._control_points[0][0]

    def __repr__(self):
        P = []
        for p in self._control_points:
            p = ', '.join(str(x) for x in p)
            p = '({})'.format(p)
            P.append(p)
        P = ', '.join(P)
        return 'BezierCurve(' + P + ')'

    ### PRIVATE METHODS ###

    def _evaluate(self, control_points, t):
        if len(control_points) > 1:
            new_points = []
            for i in range(len(control_points)-1):
                x0 = control_points[i][0]
                x1 = control_points[i+1][0]
                y0 = control_points[i][1]
                y1 = control_points[i+1][1]
                xt = x0 + t * (x1 - x0)
                yt = y0 + t * (y1 - y0)
                new_points.append([xt, yt])
            return self._evaluate(new_points, t)

        else:
            return control_points

    ### PUBLIC PROPERTIES ###


    def degree(self):
        return len(self._control_points) - 1

80ff85f450ead85bc0f1325c484f28c41027d441
<mask token>


class BezierCurve(object):
    <mask token>
    <mask token>
    <mask token>

    def __call__(self, x):
        from ControlPoint import ControlPoint
        x = float(x)
        x0 = self._control_points[0][0]
        x1 = self._control_points[-1][0]
        t = (x - x0) / (x1 - x0)
        point = self._evaluate(self._control_points, t)
        return point[0][1]

    def __contains__(self, x):
        if self._control_points[0][0] <= x <= self._control_points[-1][0]:
            return True
        else:
            return False

    def __len__(self):
        return self._control_points[-1][0] - self._control_points[0][0]

    def __repr__(self):
        P = []
        for p in self._control_points:
            p = ', '.join(str(x) for x in p)
            p = '({})'.format(p)
            P.append(p)
        P = ', '.join(P)
        return 'BezierCurve(' + P + ')'
    <mask token>

    def degree(self):
        return len(self._control_points) - 1

<mask token>


class BezierCurve(object):
    <mask token>
    <mask token>

    def __init__(self, *control_points):
        self._control_points = []
        for point in control_points:
            self._control_points.append(ControlPoint(point))

    def __call__(self, x):
        from ControlPoint import ControlPoint
        x = float(x)
        x0 = self._control_points[0][0]
        x1 = self._control_points[-1][0]
        t = (x - x0) / (x1 - x0)
        point = self._evaluate(self._control_points, t)
        return point[0][1]

    def __contains__(self, x):
        if self._control_points[0][0] <= x <= self._control_points[-1][0]:
            return True
        else:
            return False

    def __len__(self):
        return self._control_points[-1][0] - self._control_points[0][0]

    def __repr__(self):
        P = []
        for p in self._control_points:
            p = ', '.join(str(x) for x in p)
            p = '({})'.format(p)
            P.append(p)
        P = ', '.join(P)
        return 'BezierCurve(' + P + ')'
    <mask token>

    def degree(self):
        return len(self._control_points) - 1

<mask token>


class BezierCurve(object):
    <mask token>
    __slots__ = '_control_points',

    def __init__(self, *control_points):
        self._control_points = []
        for point in control_points:
            self._control_points.append(ControlPoint(point))

    def __call__(self, x):
        from ControlPoint import ControlPoint
        x = float(x)
        x0 = self._control_points[0][0]
        x1 = self._control_points[-1][0]
        t = (x - x0) / (x1 - x0)
        point = self._evaluate(self._control_points, t)
        return point[0][1]

    def __contains__(self, x):
        if self._control_points[0][0] <= x <= self._control_points[-1][0]:
            return True
        else:
            return False

    def __len__(self):
        return self._control_points[-1][0] - self._control_points[0][0]

    def __repr__(self):
        P = []
        for p in self._control_points:
            p = ', '.join(str(x) for x in p)
            p = '({})'.format(p)
            P.append(p)
        P = ', '.join(P)
        return 'BezierCurve(' + P + ')'

    def _evaluate(self, control_points, t):
        if len(control_points) > 1:
            new_points = []
            for i in range(len(control_points) - 1):
                x0 = control_points[i][0]
                x1 = control_points[i + 1][0]
                y0 = control_points[i][1]
                y1 = control_points[i + 1][1]
                xt = x0 + t * (x1 - x0)
                yt = y0 + t * (y1 - y0)
                new_points.append([xt, yt])
            return self._evaluate(new_points, t)
        else:
            return control_points

    def degree(self):
        return len(self._control_points) - 1

from ControlPoint import ControlPoint


class BezierCurve(object):
    """An arbitrary degree two-dimensional Bezier curve.

        ::

            >>> b = BezierCurve((0, 0), (50, 100), (100, 0))
            >>> b
            BezierCurve((0, 0), (50, 100), (100, 0))
            >>> len(b)
            100
            >>> x = 25
            >>> x in b
            True
            >>> b(x)
            37.5
    """
    __slots__ = '_control_points',

    def __init__(self, *control_points):
        self._control_points = []
        for point in control_points:
            self._control_points.append(ControlPoint(point))

    def __call__(self, x):
        from ControlPoint import ControlPoint
        x = float(x)
        x0 = self._control_points[0][0]
        x1 = self._control_points[-1][0]
        t = (x - x0) / (x1 - x0)
        point = self._evaluate(self._control_points, t)
        return point[0][1]

    def __contains__(self, x):
        if self._control_points[0][0] <= x <= self._control_points[-1][0]:
            return True
        else:
            return False

    def __len__(self):
        return self._control_points[-1][0] - self._control_points[0][0]

    def __repr__(self):
        P = []
        for p in self._control_points:
            p = ', '.join(str(x) for x in p)
            p = '({})'.format(p)
            P.append(p)
        P = ', '.join(P)
        return 'BezierCurve(' + P + ')'

    def _evaluate(self, control_points, t):
        if len(control_points) > 1:
            new_points = []
            for i in range(len(control_points) - 1):
                x0 = control_points[i][0]
                x1 = control_points[i + 1][0]
                y0 = control_points[i][1]
                y1 = control_points[i + 1][1]
                xt = x0 + t * (x1 - x0)
                yt = y0 + t * (y1 - y0)
                new_points.append([xt, yt])
            return self._evaluate(new_points, t)
        else:
            return control_points

    def degree(self):
        return len(self._control_points) - 1

# -*- coding: utf-8 -*-
from ControlPoint import ControlPoint
class BezierCurve(object):
    '''An arbitrary degree two-dimensional Bezier curve.

        ::

            >>> b = BezierCurve((0, 0), (50, 100), (100, 0))
            >>> b
            BezierCurve((0, 0), (50, 100), (100, 0))
            >>> len(b)
            100
            >>> x = 25
            >>> x in b
            True
            >>> b(x)
            37.5
    '''
    __slots__ = ('_control_points',)

    ### INITIALIZER ###

    def __init__(self, *control_points):
        self._control_points = []
        for point in control_points:
            self._control_points.append(ControlPoint(point))

    ### SPECIAL METHODS ###

    def __call__(self, x):
        from ControlPoint import ControlPoint
        x = float(x)
        x0 = self._control_points[0][0]
        x1 = self._control_points[-1][0]
        t = (x - x0) / (x1 - x0)
        point = self._evaluate(self._control_points, t)
        return point[0][1]

    def __contains__(self, x):
        if self._control_points[0][0] <= x <= self._control_points[-1][0]:
            return True
        else:
            return False

    def __len__(self):
        return self._control_points[-1][0] - self._control_points[0][0]

    def __repr__(self):
        P = []
        for p in self._control_points:
            p = ', '.join(str(x) for x in p)
            p = '({})'.format(p)
            P.append(p)
        P = ', '.join(P)
        return 'BezierCurve(' + P + ')'

    ### PRIVATE METHODS ###

    def _evaluate(self, control_points, t):
        if len(control_points) > 1:
            new_points = []
            for i in range(len(control_points)-1):
                x0 = control_points[i][0]
                x1 = control_points[i+1][0]
                y0 = control_points[i][1]
                y1 = control_points[i+1][1]
                xt = x0 + t * (x1 - x0)
                yt = y0 + t * (y1 - y0)
                new_points.append([xt, yt])
            return self._evaluate(new_points, t)

        else:
            return control_points

    ### PUBLIC PROPERTIES ###


    def degree(self):
        return len(self._control_points) - 1
