From 47554eadad7c23b68ef1e557927f147165546765 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?=D0=A0=D0=BE=D0=BC=D0=B0=D0=BD=20=D0=9C=D0=B0=D1=80=D0=BA?= =?UTF-8?q?=D0=BE=D0=B2?= Date: Sun, 30 Jun 2024 16:15:00 +0000 Subject: [PATCH 1/4] =?UTF-8?q?=D0=97=D0=B0=D0=B3=D1=80=D1=83=D0=B7=D0=B8?= =?UTF-8?q?=D1=82=D1=8C=20=D1=84=D0=B0=D0=B9=D0=BB=D1=8B=20=D0=B2=20=C2=AB?= =?UTF-8?q?/=C2=BB?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- RavResp.py | 167 + regions.json | 40934 +++++++++++++++++++++++++++++++++++++++++++++++++ tripy.py | 144 + Пример1.png | Bin 0 -> 52877 bytes Пример2.png | Bin 0 -> 59862 bytes 5 files changed, 41245 insertions(+) create mode 100644 RavResp.py create mode 100644 regions.json create mode 100644 tripy.py create mode 100644 Пример1.png create mode 100644 Пример2.png diff --git a/RavResp.py b/RavResp.py new file mode 100644 index 0000000..fe738b9 --- /dev/null +++ b/RavResp.py @@ -0,0 +1,167 @@ +import json +import tkinter as tk +import numpy as np +from shapely.geometry import Polygon, Point +import tripy +import math + +# Загрузка координат из JSON файла +with open('regions.json', 'r') as file: + data = json.load(file) + +# Извлечение координат +coordinates = data['features'][1]['geometry']['coordinates'][0] + +# Функция для запроса количества точек у пользователя +def get_number_of_points(): + num_points = int(input("Введите количество точек: ")) + return num_points + +# Функция для генерации точки внутри треугольника с учетом минимального расстояния +def generate_point_in_triangle_with_distance(triangle, existing_points, min_distance, polygon, max_attempts=100): + # Генерирует случайную точку внутри треугольника с использованием барицентрических координат. + for _ in range(max_attempts): + r1, r2 = np.random.random(2) + sqrt_r1 = np.sqrt(r1) + a, b, c = triangle + point = ( + (1 - sqrt_r1) * np.array(a) + + sqrt_r1 * (1 - r2) * np.array(b) + + sqrt_r1 * r2 * np.array(c) + ) + + point = Point(point) + + # Проверка, что точка находится на достаточном расстоянии от других точек и границ многоугольника + if all(point.distance(existing_point) >= min_distance for existing_point in existing_points) and \ + point.distance(polygon.boundary) >= min_distance: + return point + + return None + +def distribute_points_on_polygon_with_Seidal(coords, num_points): + # Создание многоугольника с использованием библиотеки Shapely + polygon = Polygon(coords) + + # Выполняем триангуляцию многоугольника с использованием библиотеки tripy + triangles = tripy.earclip(coords) + + # Преобразуем вершины треугольников в формат списков кортежей + triangle_ver = [list(map(tuple, triangle)) for triangle in triangles] + + # Вычисляем площадь каждого треугольника + triangle_areas = [Polygon(triangle).area for triangle in triangle_ver] + + # Находим общую площадь всех треугольников + total_area = sum(triangle_areas) + + # Определяем минимальное расстояние между точками + min_distance = math.sqrt(total_area / num_points) / 2 + + points = [] + + # Равномерно распределяем точки в каждом треугольнике + for i, triangle in enumerate(triangle_ver): + # Вычисляем количество точек для данного треугольника пропорционально его площади + num_points_in_triangle = int(num_points * (triangle_areas[i] / total_area)) + + # Генерируем точки внутри треугольника с учетом минимального расстояния + for _ in range(num_points_in_triangle): + point = generate_point_in_triangle_with_distance(triangle, points, min_distance, polygon) + if polygon.contains(point): + points.append(point) + + # Если точек меньше, чем нужно, добавляем дополнительные точки, уменьшая минимальное расстояние + while len(points) < num_points: + min_distance *= 0.9 + for i, triangle in enumerate(triangle_ver): + if len(points) >= num_points: + break + point = generate_point_in_triangle_with_distance(triangle, points, min_distance, polygon) + if point and polygon.contains(point): + points.append(point) + + # Возвращаем список точек, которые оказались внутри многоугольника + return [(point.x, point.y) for point in points] + + + +# Функция для создания графика многоугольника +def draw_polygon(coords, points=None): + # Создание основного окна + root = tk.Tk() + root.title("Polygon from JSON coordinates") + + # Создание холста для рисования + canvas = tk.Canvas(root, width=500, height=500) + canvas.pack() + + # Нормализация координат для отображения на холсте + x_coords = [point[0] for point in coords] + y_coords = [point[1] for point in coords] + + min_x, max_x = min(x_coords), max(x_coords) + min_y, max_y = min(y_coords), max(y_coords) + + scale_x = 480 / (max_x - min_x) if max_x - min_x != 0 else 1 + scale_y = 480 / (max_y - min_y) if max_y - min_y != 0 else 1 + + normalized_coords = [ + ((point[0] - min_x) * scale_x + 10, 490 - (point[1] - min_y) * scale_y + 10) + for point in coords + ] + + # Добавление первой точки в конец для замыкания многоугольника + normalized_coords.append(normalized_coords[0]) + + # Преобразование координат в плоский список + flat_coords = [coord for point in normalized_coords for coord in point] + + # Рисование многоугольника + canvas.create_polygon(flat_coords, outline='black', fill='', width=2) + + # Рисование дополнительных точек + if points: + for point in points: + normalized_point = ( + (point[0] - min_x) * scale_x + 10, + 490 - (point[1] - min_y) * scale_y + 10 + ) + canvas.create_oval( + normalized_point[0], normalized_point[1], + normalized_point[0], normalized_point[1], + fill='red' + ) + + # Запуск основного цикла приложения + root.mainloop() + +# Функция для создания JavaScript файла с данными +def create_js_file(points): + features = [] + for i, (x, y) in enumerate(points): + feature = { + "type": "Feature", + "id": i, + "geometry": { + "type": "Point", + "coordinates": [x, y] + } + } + features.append(feature) + + js_content = f"var data = `{json.dumps({'type': 'FeatureCollection', 'features': features}, ensure_ascii=False)}`;" + + with open('data.js', 'w', encoding='utf-8') as js_file: + js_file.write(js_content) + +# Получение количества точек от пользователя +num_points = get_number_of_points() + +# Равномерное распределение точек по многоугольнику +points_on_polygon = distribute_points_on_polygon_with_Seidal(coordinates, num_points) + +create_js_file(points_on_polygon) +# Отрисовка многоугольника с равномерно распределенными точками +draw_polygon(coordinates, points_on_polygon) + diff --git a/regions.json b/regions.json new file mode 100644 index 0000000..6cb27ff --- /dev/null +++ b/regions.json @@ -0,0 +1,40934 @@ +{ + "type": "FeatureCollection", + "crs": { + "type": "name", + "properties": { "name": "urn:ogc:def:crs:OGC:1.3:CRS84" } + }, + "features": [ + { + "type": "Feature", + "geometry": { + "type": "Polygon", + "coordinates": [ + [ + [59.0752894, 49.3149543], + [59.0811248, 49.2895012], + [59.0784152, 49.2848334], + [59.0773861, 49.2868626], + [59.0751006, 49.2827279], + [59.0734464, 49.2838197], + [59.067983, 49.2735972], + 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import namedtuple + +Point = namedtuple('Point', ['x', 'y']) + +EPSILON = math.sqrt(sys.float_info.epsilon) + + +def earclip(polygon): + """ + Simple earclipping algorithm for a given polygon p. + polygon is expected to be an array of 2-tuples of the cartesian points of the polygon + + For a polygon with n points it will return n-2 triangles. + The triangles are returned as an array of 3-tuples where each item in the tuple is a 2-tuple of the cartesian point. + + e.g + >>> polygon = [(0,1), (-1, 0), (0, -1), (1, 0)] + >>> triangles = tripy.earclip(polygon) + >>> triangles + [((1, 0), (0, 1), (-1, 0)), ((1, 0), (-1, 0), (0, -1))] + + Implementation Reference: + - https://www.geometrictools.com/Documentation/TriangulationByEarClipping.pdf + """ + ear_vertex = [] + triangles = [] + + polygon = [Point(*point) for point in polygon] + + if _is_clockwise(polygon): + polygon.reverse() + + point_count = len(polygon) + for i in range(point_count): + prev_index = i - 1 + prev_point = polygon[prev_index] + point = polygon[i] + next_index = (i + 1) % point_count + next_point = polygon[next_index] + + if _is_ear(prev_point, point, next_point, polygon): + ear_vertex.append(point) + + while ear_vertex and point_count >= 3: + ear = ear_vertex.pop(0) + i = polygon.index(ear) + prev_index = i - 1 + prev_point = polygon[prev_index] + next_index = (i + 1) % point_count + next_point = polygon[next_index] + + polygon.remove(ear) + point_count -= 1 + triangles.append(((prev_point.x, prev_point.y), (ear.x, ear.y), (next_point.x, next_point.y))) + if point_count > 3: + prev_prev_point = polygon[prev_index - 1] + next_next_index = (i + 1) % point_count + next_next_point = polygon[next_next_index] + + groups = [ + (prev_prev_point, prev_point, next_point, polygon), + (prev_point, next_point, next_next_point, polygon), + ] + for group in groups: + p = group[1] + if _is_ear(*group): + if p not in ear_vertex: + ear_vertex.append(p) + elif p in ear_vertex: + ear_vertex.remove(p) + return triangles + + +def _is_clockwise(polygon): + s = 0 + polygon_count = len(polygon) + for i in range(polygon_count): + point = polygon[i] + point2 = polygon[(i + 1) % polygon_count] + s += (point2.x - point.x) * (point2.y + point.y) + return s > 0 + + +def _is_convex(prev, point, next): + return _triangle_sum(prev.x, prev.y, point.x, point.y, next.x, next.y) < 0 + + +def _is_ear(p1, p2, p3, polygon): + ear = _contains_no_points(p1, p2, p3, polygon) and \ + _is_convex(p1, p2, p3) and \ + _triangle_area(p1.x, p1.y, p2.x, p2.y, p3.x, p3.y) > 0 + return ear + + +def _contains_no_points(p1, p2, p3, polygon): + for pn in polygon: + if pn in (p1, p2, p3): + continue + elif _is_point_inside(pn, p1, p2, p3): + return False + return True + + +def _is_point_inside(p, a, b, c): + area = _triangle_area(a.x, a.y, b.x, b.y, c.x, c.y) + area1 = _triangle_area(p.x, p.y, b.x, b.y, c.x, c.y) + area2 = _triangle_area(p.x, p.y, a.x, a.y, c.x, c.y) + area3 = _triangle_area(p.x, p.y, a.x, a.y, b.x, b.y) + areadiff = abs(area - sum([area1, area2, area3])) < EPSILON + return areadiff + + +def _triangle_area(x1, y1, x2, y2, x3, y3): + return abs((x1 * (y2 - y3) + x2 * (y3 - y1) + x3 * (y1 - y2)) / 2.0) + + +def _triangle_sum(x1, y1, x2, y2, x3, y3): + return x1 * (y3 - y2) + x2 * (y1 - y3) + x3 * (y2 - y1) + + +def calculate_total_area(triangles): + result = [] + for triangle in triangles: + sides = [] + for i in range(3): + next_index = (i + 1) % 3 + pt = triangle[i] + pt2 = triangle[next_index] + # Distance between two points + side = math.sqrt(math.pow(pt2[0] - pt[0], 2) + math.pow(pt2[1] - pt[1], 2)) + sides.append(side) + # Heron's numerically stable forumla for area of a triangle: + # https://en.wikipedia.org/wiki/Heron%27s_formula + # However, for line-like triangles of zero area this formula can produce an infinitesimally negative value + # as an input to sqrt() due to the cumulative arithmetic errors inherent to floating point calculations: + # 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