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#!/usr/bin/env python # -*- coding: utf-8 -*- # Copyright © Cloud Linux GmbH & Cloud Linux Software, Inc 2010-2019 All Rights Reserved # # Licensed under CLOUD LINUX LICENSE AGREEMENT # http://cloudlinux.com/docs/LICENSE.TXT # Implementation of Ramer-Douglas-Peucker algorithm from __future__ import division __all__ = ['ramerdouglas'] def ramerdouglas(line, dist): """Does Ramer-Douglas-Peucker simplification of a curve with `dist` threshold. `line` is a list-of-tuples, where each tuple is a 2D coordinate Usage is like so: >>> myline = [(0.0, 0.0), (1.0, 2.0), (2.0, 1.0)] >>> simplified = ramerdouglas(myline, dist = 1.0) """ if len(line) < 3: return line (begin, end) = (line[0], line[-1]) if line[0] != line[-1] else (line[0], line[-2]) begin_end_x = end[0] - begin[0] begin_end_y = end[1] - begin[1] distSq = [] dist_append = distSq.append for curr in line[1:-1]: begin_curr_x = curr[0] - begin[0] begin_curr_y = curr[1] - begin[1] dist_append((begin_curr_y * begin_end_x - begin_curr_x * begin_end_y)**2 / (begin_end_x**2 + begin_end_y**2)) maxdist = max(distSq) if maxdist < dist ** 2: return [begin, end] if len(distSq) > 500: pos = len(distSq) // 2 else: pos = distSq.index(maxdist) return (ramerdouglas(line[:pos + 2], dist) + ramerdouglas(line[pos + 1:], dist)[1:])
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