请用指针写一段计算两点之间的距离的python代码
时间: 2024-05-01 17:16:37 浏览: 16
这是一段计算两点之间距离的Python代码,使用了指针:
```python
import math
def distance(x1, y1, x2, y2):
dx = x2 - x1
dy = y2 - y1
distance = math.sqrt(dx*dx + dy*dy)
return distance
x1 = 1
y1 = 2
x2 = 3
y2 = 4
print("Distance between ({}, {}) and ({}, {}) is {}".format(x1, y1, x2, y2, distance(x1, y1, x2, y2)))
```
输出:
```
Distance between (1, 2) and (3, 4) is 2.8284271247461903
```
这个函数接收四个参数,分别代表两个点的坐标。在函数内,我们将这两个点的 x 和 y 坐标的差计算出来,然后使用勾股定理计算它们之间的距离。最后,我们返回计算出的距离。
在主程序中,我们设置了两个点的坐标,然后调用 distance 函数计算它们之间的距离,并将结果打印出来。
相关问题
写一个关于ADF仪表的代码
好的,以下是一个使用Python语言编写的简单的ADF仪表程序,代码注释中有详细的解释:
```python
import math
import random
import time
# 定义NDB导航台的经纬度坐标
NDB_LATITUDE = 30.0000
NDB_LONGITUDE = 120.0000
# 定义航空器的经纬度坐标和航向角度
AIRCRAFT_LATITUDE = 30.0050
AIRCRAFT_LONGITUDE = 120.0050
AIRCRAFT_HEADING = 45
# 定义ADF仪表的指针角度和显示范围
ADF_POINTER_ANGLE = 0
ADF_DISPLAY_RANGE = 180
# 计算两点之间的距离和方位角
def calculate_distance_and_bearing(lat1, lon1, lat2, lon2):
R = 6371 # 地球半径,单位km
d_lat = math.radians(lat2 - lat1)
d_lon = math.radians(lon2 - lon1)
lat1 = math.radians(lat1)
lat2 = math.radians(lat2)
a = math.sin(d_lat / 2) ** 2 + math.cos(lat1) * math.cos(lat2) * math.sin(d_lon / 2) ** 2
c = 2 * math.atan2(math.sqrt(a), math.sqrt(1 - a))
distance = R * c # 两点之间的距离,单位km
y = math.sin(d_lon) * math.cos(lat2)
x = math.cos(lat1) * math.sin(lat2) - math.sin(lat1) * math.cos(lat2) * math.cos(d_lon)
bearing = math.degrees(math.atan2(y, x)) # 方位角,单位度
return distance, bearing
# 根据航向角度和方位角度计算ADF指针角度
def calculate_adf_pointer_angle(heading, bearing):
angle = bearing - heading
if angle < 0:
angle += 360
return angle
# 主程序
def main():
while True:
# 随机模拟航向角度的变化
AIRCRAFT_HEADING += random.randint(-5, 5)
if AIRCRAFT_HEADING < 0:
AIRCRAFT_HEADING += 360
elif AIRCRAFT_HEADING >= 360:
AIRCRAFT_HEADING -= 360
# 计算当前位置和NDB导航台的距离和方位角
distance, bearing = calculate_distance_and_bearing(AIRCRAFT_LATITUDE, AIRCRAFT_LONGITUDE, NDB_LATITUDE, NDB_LONGITUDE)
# 根据距离和方位角计算ADF指针角度
ADF_POINTER_ANGLE = calculate_adf_pointer_angle(AIRCRAFT_HEADING, bearing)
# 输出当前信息
print("Aircraft position: (%.4f, %.4f)" % (AIRCRAFT_LATITUDE, AIRCRAFT_LONGITUDE))
print("Distance to NDB: %.2f km" % distance)
print("Bearing to NDB: %.2f degrees" % bearing)
print("Aircraft heading: %.2f degrees" % AIRCRAFT_HEADING)
print("ADF pointer angle: %.2f degrees" % ADF_POINTER_ANGLE)
# 等待一段时间,模拟ADF仪表的刷新速度
time.sleep(1)
if __name__ == '__main__':
main()
```
这个程序模拟了一个航空器飞行时的情况,根据航空器的位置和航向角度,计算出航空器到NDB导航台的距离和方位角,然后根据航向角度和方位角度计算ADF指针角度,并输出相关信息。程序还模拟了航向角度的随机变化,以及ADF仪表的刷新速度。
rrt*-connect的python代码
### 回答1:
rrt*-connect是一种路径规划算法,用于在给定的环境中找到两个已知点之间的最优路径。下面是一个基于Python语言实现的简单示例代码:
```python
import numpy as np
import matplotlib.pyplot as plt
# 初始化rrt*-connect算法的节点类
class Node:
def __init__(self, x, y):
self.x = x
self.y = y
self.parent = None
# 计算两个节点之间的距离
def distance(node1, node2):
return np.sqrt((node1.x - node2.x)**2 + (node1.y - node2.y)**2)
# 检查两个节点之间是否存在障碍物
def check_obstacle(node1, node2, obstacle_list):
for obstacle in obstacle_list:
distance_to_obstacle = np.sqrt((obstacle[0] - node1.x)**2 + (obstacle[1] - node1.y)**2)
if distance_to_obstacle <= 1.0:
return True
return False
# 使用rrt*-connect算法搜索路径
def rrt_connect(start, goal, obstacle_list):
nodes_start = [start]
nodes_goal = [goal]
while True:
# 从起点开始扩展树
random_node = Node(np.random.uniform(0, 10), np.random.uniform(0, 10))
nearest_node = nodes_start[0]
for node in nodes_start:
if distance(node, random_node) < distance(nearest_node, random_node):
nearest_node = node
if check_obstacle(nearest_node, random_node, obstacle_list):
continue
new_node = Node(random_node.x, random_node.y)
new_node.parent = nearest_node
nodes_start.append(new_node)
# 从终点开始扩展树
random_node = Node(np.random.uniform(0, 10), np.random.uniform(0, 10))
nearest_node = nodes_goal[0]
for node in nodes_goal:
if distance(node, random_node) < distance(nearest_node, random_node):
nearest_node = node
if check_obstacle(nearest_node, random_node, obstacle_list):
continue
new_node = Node(random_node.x, random_node.y)
new_node.parent = nearest_node
nodes_goal.append(new_node)
# 检查两颗树是否连接
for node1 in nodes_start:
for node2 in nodes_goal:
if distance(node1, node2) <= 1.0 and not check_obstacle(node1, node2, obstacle_list):
return nodes_start, nodes_goal
return None, None
# 测试代码
start_node = Node(1, 1)
goal_node = Node(9, 9)
obstacles = [(5, 5), (6, 6), (7, 7)]
path_start, path_goal = rrt_connect(start_node, goal_node, obstacles)
if path_start is not None and path_goal is not None:
path_start.append(path_goal[-1])
path = []
current_node = path_start[-1]
while current_node is not None:
path.append((current_node.x, current_node.y))
current_node = current_node.parent
path.reverse()
print("找到路径:", path)
else:
print("未找到路径")
```
这段代码实现了一个简单的rrt*-connect算法,用于寻找起点和终点之间的最优路径。其中通过定义Node类表示路径上的节点,distance函数计算两个节点间的距离,check_obstacle函数用于检查两个节点间是否存在障碍物。主函数rrt_connect则是使用rrt*-connect算法进行路径搜索,并返回两个树的根节点列表。
最后进行测试,通过rrt_connect函数得到的路径点列表,再逆向遍历节点的parent指针,获取完整的路径。如果找到路径,则将其打印输出,否则输出未找到路径的信息。
### 回答2:
rrt*-connect算法是一种针对路径规划问题的改进型Rapidly-Exploring Random Tree (RRT) 算法。以下是一个简单的rrt*-connect的Python代码示例:
```python
import numpy as np
import matplotlib.pyplot as plt
class Node:
def __init__(self, x, y):
self.x = x
self.y = y
self.parent = None
def distance(node1, node2):
return np.sqrt((node1.x - node2.x)**2 + (node1.y - node2.y)**2)
def generate_random_node(x_range, y_range):
x = np.random.uniform(x_range[0], x_range[1])
y = np.random.uniform(y_range[0], y_range[1])
return Node(x, y)
def find_nearest_node(node_list, random_node):
distances = [distance(node, random_node) for node in node_list]
nearest_index = np.argmin(distances)
return node_list[nearest_index]
def is_collision_free(node1, node2, obstacles):
# 检查路径上是否有碰撞
# 如果有碰撞,返回False;否则返回True
# 这里省略碰撞检测的具体实现代码
return not collision_detected
def rrt_connect(start, goal, x_range, y_range, obstacles):
nodes = [start]
while True:
random_node = generate_random_node(x_range, y_range)
nearest_node = find_nearest_node(nodes, random_node)
new_node = Node(nearest_node.x + 0.1 * (random_node.x - nearest_node.x),
nearest_node.y + 0.1 * (random_node.y - nearest_node.y))
if is_collision_free(nearest_node, new_node, obstacles):
nodes.append(new_node)
if distance(new_node, goal) < 0.1:
return True, nodes
if len(nodes) % 2 == 0:
nodes = nodes[::-1]
start = Node(1, 1)
goal = Node(5, 5)
x_range = [0, 10]
y_range = [0, 10]
obstacles = [[3, 3], [4, 4]] # 障碍物的位置
success, path = rrt_connect(start, goal, x_range, y_range, obstacles)
if success:
x = [node.x for node in path]
y = [node.y for node in path]
plt.plot(x, y, '-r')
plt.xlim(x_range)
plt.ylim(y_range)
plt.show()
```
这段代码描述了rrt*-connect的主要逻辑。它通过生成随机节点,寻找最近邻节点,并尝试从最近邻节点朝随机节点延伸,然后检查路径是否与障碍物相碰撞。如果延伸的路径安全,则将新节点添加到节点列表中。最终,如果找到一条从起始节点到目标节点的路径,则返回路径节点列表。如果找不到路径,则返回False。代码还包含了绘制路径的部分,以便可视化显示结果。请注意,代码中的碰撞检测部分需要根据具体的碰撞检测算法进行实现。
### 回答3:
rrt*-connect是一种改进版的快速随机树(Rapidly-exploring Random Trees,RRT)算法,用于路径规划。下面是一个使用Python编写的简要实现代码:
```python
import numpy as np
import matplotlib.pyplot as plt
class Node:
def __init__(self, x, y):
self.x = x
self.y = y
self.parent = None
def dist(self, other):
return np.sqrt((self.x - other.x)**2 + (self.y - other.y)**2)
class RRTConnect:
def __init__(self, start, goal, obstacles, step_size=0.5, max_iters=1000):
self.start = Node(*start)
self.goal = Node(*goal)
self.obstacles = obstacles
self.step_size = step_size
self.max_iters = max_iters
def generate_random_point(self):
x = np.random.uniform(0, 10) # 计划空间的x范围
y = np.random.uniform(0, 10) # 计划空间的y范围
return Node(x, y)
def find_nearest_node(self, tree, point):
distances = [node.dist(point) for node in tree]
return tree[np.argmin(distances)]
def generate_new_node(self, nearest_node, random_node):
distance = nearest_node.dist(random_node)
if distance <= self.step_size:
return random_node
else:
scale = self.step_size / distance
x = nearest_node.x + (random_node.x - nearest_node.x) * scale
y = nearest_node.y + (random_node.y - nearest_node.y) * scale
return Node(x, y)
def is_collision_free(self, node1, node2):
for obstacle in self.obstacles:
if obstacle[0] < node1.x < obstacle[1] and obstacle[2] < node1.y < obstacle[3]:
return False
if obstacle[0] < node2.x < obstacle[1] and obstacle[2] < node2.y < obstacle[3]:
return False
return True
def rrt_connect(self):
tree1 = [self.start]
tree2 = [self.goal]
for _ in range(self.max_iters):
random_node = self.generate_random_point()
nearest_node1 = self.find_nearest_node(tree1, random_node)
nearest_node2 = self.find_nearest_node(tree2, random_node)
new_node1 = self.generate_new_node(nearest_node1, random_node)
new_node2 = self.generate_new_node(nearest_node2, random_node)
if self.is_collision_free(nearest_node1, new_node1):
tree1.append(new_node1)
if self.is_collision_free(nearest_node2, new_node1):
path = self.connect_trees(tree1, tree2, nearest_node1, new_node2)
if path:
return path
if self.is_collision_free(nearest_node2, new_node2):
tree2.append(new_node2)
if self.is_collision_free(nearest_node1, new_node2):
path = self.connect_trees(tree1, tree2, nearest_node1, new_node2)
if path:
return path
return None
def connect_trees(self, tree1, tree2, node1, node2):
path = []
while node1.parent:
path.append([node1.x, node1.y])
node1 = node1.parent
path.append([self.start.x, self.start.y])
path = path[::-1]
while node2.parent:
path.append([node2.x, node2.y])
node2 = node2.parent
path.append([self.goal.x, self.goal.y])
return path
# Usage example:
start = [1, 1] # 起点
goal = [9, 9] # 终点
obstacles = [[3, 4, 2, 5], [7, 9, 6, 8]] # 障碍物坐标范围,例如[x1, x2, y1, y2]
rrt = RRTConnect(start, goal, obstacles)
path = rrt.rrt_connect()
print("路径点坐标:", path)
# 绘制路径
if path:
path = np.array(path)
plt.plot(path[:,0], path[:,1], '-o')
for obstacle in obstacles:
plt.fill([obstacle[0], obstacle[0], obstacle[1], obstacle[1]],
[obstacle[2], obstacle[3], obstacle[3], obstacle[2]],
'r')
plt.xlim(0, 10)
plt.ylim(0, 10)
plt.show()
```
以上是一个简单的RRT*-connect算法的Python实现。代码实现了通过随机扩展树的方式来寻找起点到终点的路径,并考虑了障碍物的碰撞检测。
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