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import numpy as np | ||
from typing import List, Self | ||
from pybezier.bezier_curve import BezierCurve | ||
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class CompositeBezierCurve: | ||
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def __init__(self, beziers): | ||
for curve1, curve2 in zip(beziers[:-1], beziers[1:]): | ||
assert np.isclose(curve1.b, curve2.a) | ||
assert curve1.dimension == curve2.dimension | ||
self.beziers = beziers | ||
self.N = len(self.beziers) | ||
self.dimension = beziers[0].dimension | ||
self.a = beziers[0].a | ||
self.b = beziers[-1].b | ||
self.duration = self.b - self.a | ||
self.transition_times = [self.a] + [bez.b for bez in beziers] | ||
def __init__(self, curves): | ||
initial_times = [curve.initial_time for curve in curves[1:]] | ||
final_times = [curve.final_time for curve in curves[:-1]] | ||
if not np.allclose(initial_times, final_times): | ||
raise ValueError("Initial and final times don't match.") | ||
dimensions = [curve.dimension for curve in curves] | ||
if len(set(dimensions)) != 1: | ||
raise ValueError("All the curves must have the same dimension.") | ||
self.curves = curves | ||
self.dimension = curves[0].dimension | ||
self.initial_time = curves[0].initial_time | ||
self.final_time = curves[-1].final_time | ||
self.duration = self.final_time - self.initial_time | ||
self.knot_times = [self.initial_time] + [curve.final_time for curve in curves] | ||
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def __iter__(self): | ||
return iter(self.beziers) | ||
def __iter__(self) -> List[BezierCurve]: | ||
return self.curves | ||
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def __getitem__(self, i): | ||
return self.beziers[i] | ||
def __getitem__(self, i : int) -> BezierCurve: | ||
return self.curves[i] | ||
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def __call__(self, t): | ||
i = self.find_segment(t) | ||
return self[i](t) | ||
def __call__(self, time : float) -> np.array: | ||
segment = self.find_segment(time) | ||
return self[segment](time) | ||
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def __len__(self): | ||
return(len(self.beziers)) | ||
def __len__(self) -> int: | ||
return(len(self.curves)) | ||
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def start_point(self): | ||
return self[0].start_point() | ||
def initial_point(self) -> np.array: | ||
return self[0].initial_point() | ||
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def end_point(self): | ||
return self[-1].end_point() | ||
def final_point(self) -> np.array: | ||
return self[-1].final_point() | ||
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def knot_points(self): | ||
knots = [bez.points[0] for bez in self] | ||
return np.array(knots + [self[-1].points[-1]]) | ||
def knot_points(self) -> np.array: | ||
knots = [curve.points[0] for curve in self] | ||
knots.append(self.final_point()) | ||
return np.array(knots) | ||
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def durations(self): | ||
return np.array([bez.duration for bez in self]) | ||
def durations(self) -> np.array: | ||
return np.array([curve.duration for curve in self]) | ||
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def concatenate(self, curve): | ||
shifted_beziers = [BezierCurve(b.points, b.a + self.duration, b.b + self.duration) for b in curve] | ||
return CompositeBezierCurve(self.beziers + shifted_beziers) | ||
def concatenate(self, composite_curve : Self) -> Self: | ||
shifted_curves = [] | ||
for curve in composite_curve: | ||
initial_time = curve.initial_time + self.duration | ||
final_time = curve.final_time + self.duration | ||
shifted_curve = BezierCurve(curve.points, initial_time, final_time) | ||
shifted_curves.append(shifted_curve) | ||
return CompositeBezierCurve(self.curves + shifted_curves) | ||
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def derivative(self): | ||
return CompositeBezierCurve([b.derivative() for b in self]) | ||
def derivative(self) -> Self: | ||
return CompositeBezierCurve([curve.derivative() for curve in self]) | ||
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def l2_squared(self): | ||
return sum(bez.l2_squared() for bez in self) | ||
def l2_squared(self) -> float: | ||
return sum(curve.l2_squared() for curve in self) | ||
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def plot_components(self, samples=51, **kwargs): | ||
for i, bez in enumerate(self): | ||
legend = True if i ==0 else False | ||
bez.plot_components(samples, legend, **kwargs) | ||
def plot_components(self, n : int = 51, legend : bool = True, **kwargs): | ||
for i, curve in enumerate(self): | ||
curve.plot_components(n, legend, **kwargs) | ||
if i == 0: | ||
legend = False | ||
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def plot2d(self, **kwargs): | ||
for bez in self: | ||
bez.plot2d(**kwargs) | ||
def plot_trace_2d(self, **kwargs): | ||
for curve in self: | ||
curve.plot_trace_2d(**kwargs) | ||
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def scatter2d(self, **kwargs): | ||
for bez in self: | ||
bez.scatter2d(**kwargs) | ||
def scatter_points_2d(self, **kwargs): | ||
for curve in self: | ||
curve.scatter_points_2d(**kwargs) | ||
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def plot_2dpolygons(self, **kwargs): | ||
for bez in self: | ||
bez.plot_2dpolygon(**kwargs) | ||
def plot_control_polytopes_2d(self, **kwargs): | ||
for curve in self: | ||
curve.plot_control_polytope_2d(**kwargs) |