310

我正在尝试使用 OpenCV 实时绘制来自相机的一些数据。但是,实时绘图(使用 matplotlib)似乎不起作用。

我已将问题隔离到这个简单的示例中:

fig = plt.figure()
plt.axis([0, 1000, 0, 1])

i = 0
x = list()
y = list()

while i < 1000:
    temp_y = np.random.random()
    x.append(i)
    y.append(temp_y)
    plt.scatter(i, temp_y)
    i += 1
    plt.show()

我希望这个例子能够单独绘制 1000 个点。实际发生的情况是窗口弹出并显示第一个点(可以),然后等待循环完成,然后再填充图形的其余部分。

有什么想法为什么我一次看不到一个点填充?

4

13 回答 13

372

这是相关代码的工作版本(至少需要 2011-11-14 版本的 Matplotlib 1.1.0):

import numpy as np
import matplotlib.pyplot as plt

plt.axis([0, 10, 0, 1])

for i in range(10):
    y = np.random.random()
    plt.scatter(i, y)
    plt.pause(0.05)

plt.show()

请注意对 的调用plt.pause(0.05),它既绘制新数据又运行 GUI 的事件循环(允许鼠标交互)。

于 2013-03-30T16:37:14.450 回答
98

如果您对实时绘图感兴趣,我建议您查看matplotlib 的动画 API。特别是,使用blit避免在每一帧上重绘背景可以为您带来显着的速度提升(~10x):

#!/usr/bin/env python

import numpy as np
import time
import matplotlib
matplotlib.use('GTKAgg')
from matplotlib import pyplot as plt


def randomwalk(dims=(256, 256), n=20, sigma=5, alpha=0.95, seed=1):
    """ A simple random walk with memory """

    r, c = dims
    gen = np.random.RandomState(seed)
    pos = gen.rand(2, n) * ((r,), (c,))
    old_delta = gen.randn(2, n) * sigma

    while True:
        delta = (1. - alpha) * gen.randn(2, n) * sigma + alpha * old_delta
        pos += delta
        for ii in xrange(n):
            if not (0. <= pos[0, ii] < r):
                pos[0, ii] = abs(pos[0, ii] % r)
            if not (0. <= pos[1, ii] < c):
                pos[1, ii] = abs(pos[1, ii] % c)
        old_delta = delta
        yield pos


def run(niter=1000, doblit=True):
    """
    Display the simulation using matplotlib, optionally using blit for speed
    """

    fig, ax = plt.subplots(1, 1)
    ax.set_aspect('equal')
    ax.set_xlim(0, 255)
    ax.set_ylim(0, 255)
    ax.hold(True)
    rw = randomwalk()
    x, y = rw.next()

    plt.show(False)
    plt.draw()

    if doblit:
        # cache the background
        background = fig.canvas.copy_from_bbox(ax.bbox)

    points = ax.plot(x, y, 'o')[0]
    tic = time.time()

    for ii in xrange(niter):

        # update the xy data
        x, y = rw.next()
        points.set_data(x, y)

        if doblit:
            # restore background
            fig.canvas.restore_region(background)

            # redraw just the points
            ax.draw_artist(points)

            # fill in the axes rectangle
            fig.canvas.blit(ax.bbox)

        else:
            # redraw everything
            fig.canvas.draw()

    plt.close(fig)
    print "Blit = %s, average FPS: %.2f" % (
        str(doblit), niter / (time.time() - tic))

if __name__ == '__main__':
    run(doblit=False)
    run(doblit=True)

输出:

Blit = False, average FPS: 54.37
Blit = True, average FPS: 438.27
于 2013-03-31T00:17:21.350 回答
54

我知道我回答这个问题有点晚了。不过,我前段时间编写了一些代码来绘制实时图表,我想分享一下:

PyQt4 的代码:

###################################################################
#                                                                 #
#                    PLOT A LIVE GRAPH (PyQt4)                    #
#                  -----------------------------                  #
#            EMBED A MATPLOTLIB ANIMATION INSIDE YOUR             #
#            OWN GUI!                                             #
#                                                                 #
###################################################################


import sys
import os
from PyQt4 import QtGui
from PyQt4 import QtCore
import functools
import numpy as np
import random as rd
import matplotlib
matplotlib.use("Qt4Agg")
from matplotlib.figure import Figure
from matplotlib.animation import TimedAnimation
from matplotlib.lines import Line2D
from matplotlib.backends.backend_qt4agg import FigureCanvasQTAgg as FigureCanvas
import time
import threading


def setCustomSize(x, width, height):
    sizePolicy = QtGui.QSizePolicy(QtGui.QSizePolicy.Fixed, QtGui.QSizePolicy.Fixed)
    sizePolicy.setHorizontalStretch(0)
    sizePolicy.setVerticalStretch(0)
    sizePolicy.setHeightForWidth(x.sizePolicy().hasHeightForWidth())
    x.setSizePolicy(sizePolicy)
    x.setMinimumSize(QtCore.QSize(width, height))
    x.setMaximumSize(QtCore.QSize(width, height))

''''''

class CustomMainWindow(QtGui.QMainWindow):

    def __init__(self):

        super(CustomMainWindow, self).__init__()

        # Define the geometry of the main window
        self.setGeometry(300, 300, 800, 400)
        self.setWindowTitle("my first window")

        # Create FRAME_A
        self.FRAME_A = QtGui.QFrame(self)
        self.FRAME_A.setStyleSheet("QWidget { background-color: %s }" % QtGui.QColor(210,210,235,255).name())
        self.LAYOUT_A = QtGui.QGridLayout()
        self.FRAME_A.setLayout(self.LAYOUT_A)
        self.setCentralWidget(self.FRAME_A)

        # Place the zoom button
        self.zoomBtn = QtGui.QPushButton(text = 'zoom')
        setCustomSize(self.zoomBtn, 100, 50)
        self.zoomBtn.clicked.connect(self.zoomBtnAction)
        self.LAYOUT_A.addWidget(self.zoomBtn, *(0,0))

        # Place the matplotlib figure
        self.myFig = CustomFigCanvas()
        self.LAYOUT_A.addWidget(self.myFig, *(0,1))

        # Add the callbackfunc to ..
        myDataLoop = threading.Thread(name = 'myDataLoop', target = dataSendLoop, daemon = True, args = (self.addData_callbackFunc,))
        myDataLoop.start()

        self.show()

    ''''''


    def zoomBtnAction(self):
        print("zoom in")
        self.myFig.zoomIn(5)

    ''''''

    def addData_callbackFunc(self, value):
        # print("Add data: " + str(value))
        self.myFig.addData(value)



''' End Class '''


class CustomFigCanvas(FigureCanvas, TimedAnimation):

    def __init__(self):

        self.addedData = []
        print(matplotlib.__version__)

        # The data
        self.xlim = 200
        self.n = np.linspace(0, self.xlim - 1, self.xlim)
        a = []
        b = []
        a.append(2.0)
        a.append(4.0)
        a.append(2.0)
        b.append(4.0)
        b.append(3.0)
        b.append(4.0)
        self.y = (self.n * 0.0) + 50

        # The window
        self.fig = Figure(figsize=(5,5), dpi=100)
        self.ax1 = self.fig.add_subplot(111)


        # self.ax1 settings
        self.ax1.set_xlabel('time')
        self.ax1.set_ylabel('raw data')
        self.line1 = Line2D([], [], color='blue')
        self.line1_tail = Line2D([], [], color='red', linewidth=2)
        self.line1_head = Line2D([], [], color='red', marker='o', markeredgecolor='r')
        self.ax1.add_line(self.line1)
        self.ax1.add_line(self.line1_tail)
        self.ax1.add_line(self.line1_head)
        self.ax1.set_xlim(0, self.xlim - 1)
        self.ax1.set_ylim(0, 100)


        FigureCanvas.__init__(self, self.fig)
        TimedAnimation.__init__(self, self.fig, interval = 50, blit = True)

    def new_frame_seq(self):
        return iter(range(self.n.size))

    def _init_draw(self):
        lines = [self.line1, self.line1_tail, self.line1_head]
        for l in lines:
            l.set_data([], [])

    def addData(self, value):
        self.addedData.append(value)

    def zoomIn(self, value):
        bottom = self.ax1.get_ylim()[0]
        top = self.ax1.get_ylim()[1]
        bottom += value
        top -= value
        self.ax1.set_ylim(bottom,top)
        self.draw()


    def _step(self, *args):
        # Extends the _step() method for the TimedAnimation class.
        try:
            TimedAnimation._step(self, *args)
        except Exception as e:
            self.abc += 1
            print(str(self.abc))
            TimedAnimation._stop(self)
            pass

    def _draw_frame(self, framedata):
        margin = 2
        while(len(self.addedData) > 0):
            self.y = np.roll(self.y, -1)
            self.y[-1] = self.addedData[0]
            del(self.addedData[0])


        self.line1.set_data(self.n[ 0 : self.n.size - margin ], self.y[ 0 : self.n.size - margin ])
        self.line1_tail.set_data(np.append(self.n[-10:-1 - margin], self.n[-1 - margin]), np.append(self.y[-10:-1 - margin], self.y[-1 - margin]))
        self.line1_head.set_data(self.n[-1 - margin], self.y[-1 - margin])
        self._drawn_artists = [self.line1, self.line1_tail, self.line1_head]

''' End Class '''

# You need to setup a signal slot mechanism, to 
# send data to your GUI in a thread-safe way.
# Believe me, if you don't do this right, things
# go very very wrong..
class Communicate(QtCore.QObject):
    data_signal = QtCore.pyqtSignal(float)

''' End Class '''


def dataSendLoop(addData_callbackFunc):
    # Setup the signal-slot mechanism.
    mySrc = Communicate()
    mySrc.data_signal.connect(addData_callbackFunc)

    # Simulate some data
    n = np.linspace(0, 499, 500)
    y = 50 + 25*(np.sin(n / 8.3)) + 10*(np.sin(n / 7.5)) - 5*(np.sin(n / 1.5))
    i = 0

    while(True):
        if(i > 499):
            i = 0
        time.sleep(0.1)
        mySrc.data_signal.emit(y[i]) # <- Here you emit a signal!
        i += 1
    ###
###


if __name__== '__main__':
    app = QtGui.QApplication(sys.argv)
    QtGui.QApplication.setStyle(QtGui.QStyleFactory.create('Plastique'))
    myGUI = CustomMainWindow()
    sys.exit(app.exec_())

''''''

 
我最近重写了 PyQt5 的代码。
PyQt5 的代码:

###################################################################
#                                                                 #
#                    PLOT A LIVE GRAPH (PyQt5)                    #
#                  -----------------------------                  #
#            EMBED A MATPLOTLIB ANIMATION INSIDE YOUR             #
#            OWN GUI!                                             #
#                                                                 #
###################################################################

import sys
import os
from PyQt5.QtWidgets import *
from PyQt5.QtCore import *
from PyQt5.QtGui import *
import functools
import numpy as np
import random as rd
import matplotlib
matplotlib.use("Qt5Agg")
from matplotlib.figure import Figure
from matplotlib.animation import TimedAnimation
from matplotlib.lines import Line2D
from matplotlib.backends.backend_qt5agg import FigureCanvasQTAgg as FigureCanvas
import time
import threading

class CustomMainWindow(QMainWindow):
    def __init__(self):
        super(CustomMainWindow, self).__init__()
        # Define the geometry of the main window
        self.setGeometry(300, 300, 800, 400)
        self.setWindowTitle("my first window")
        # Create FRAME_A
        self.FRAME_A = QFrame(self)
        self.FRAME_A.setStyleSheet("QWidget { background-color: %s }" % QColor(210,210,235,255).name())
        self.LAYOUT_A = QGridLayout()
        self.FRAME_A.setLayout(self.LAYOUT_A)
        self.setCentralWidget(self.FRAME_A)
        # Place the zoom button
        self.zoomBtn = QPushButton(text = 'zoom')
        self.zoomBtn.setFixedSize(100, 50)
        self.zoomBtn.clicked.connect(self.zoomBtnAction)
        self.LAYOUT_A.addWidget(self.zoomBtn, *(0,0))
        # Place the matplotlib figure
        self.myFig = CustomFigCanvas()
        self.LAYOUT_A.addWidget(self.myFig, *(0,1))
        # Add the callbackfunc to ..
        myDataLoop = threading.Thread(name = 'myDataLoop', target = dataSendLoop, daemon = True, args = (self.addData_callbackFunc,))
        myDataLoop.start()
        self.show()
        return

    def zoomBtnAction(self):
        print("zoom in")
        self.myFig.zoomIn(5)
        return

    def addData_callbackFunc(self, value):
        # print("Add data: " + str(value))
        self.myFig.addData(value)
        return

''' End Class '''


class CustomFigCanvas(FigureCanvas, TimedAnimation):
    def __init__(self):
        self.addedData = []
        print(matplotlib.__version__)
        # The data
        self.xlim = 200
        self.n = np.linspace(0, self.xlim - 1, self.xlim)
        a = []
        b = []
        a.append(2.0)
        a.append(4.0)
        a.append(2.0)
        b.append(4.0)
        b.append(3.0)
        b.append(4.0)
        self.y = (self.n * 0.0) + 50
        # The window
        self.fig = Figure(figsize=(5,5), dpi=100)
        self.ax1 = self.fig.add_subplot(111)
        # self.ax1 settings
        self.ax1.set_xlabel('time')
        self.ax1.set_ylabel('raw data')
        self.line1 = Line2D([], [], color='blue')
        self.line1_tail = Line2D([], [], color='red', linewidth=2)
        self.line1_head = Line2D([], [], color='red', marker='o', markeredgecolor='r')
        self.ax1.add_line(self.line1)
        self.ax1.add_line(self.line1_tail)
        self.ax1.add_line(self.line1_head)
        self.ax1.set_xlim(0, self.xlim - 1)
        self.ax1.set_ylim(0, 100)
        FigureCanvas.__init__(self, self.fig)
        TimedAnimation.__init__(self, self.fig, interval = 50, blit = True)
        return

    def new_frame_seq(self):
        return iter(range(self.n.size))

    def _init_draw(self):
        lines = [self.line1, self.line1_tail, self.line1_head]
        for l in lines:
            l.set_data([], [])
        return

    def addData(self, value):
        self.addedData.append(value)
        return

    def zoomIn(self, value):
        bottom = self.ax1.get_ylim()[0]
        top = self.ax1.get_ylim()[1]
        bottom += value
        top -= value
        self.ax1.set_ylim(bottom,top)
        self.draw()
        return

    def _step(self, *args):
        # Extends the _step() method for the TimedAnimation class.
        try:
            TimedAnimation._step(self, *args)
        except Exception as e:
            self.abc += 1
            print(str(self.abc))
            TimedAnimation._stop(self)
            pass
        return

    def _draw_frame(self, framedata):
        margin = 2
        while(len(self.addedData) > 0):
            self.y = np.roll(self.y, -1)
            self.y[-1] = self.addedData[0]
            del(self.addedData[0])

        self.line1.set_data(self.n[ 0 : self.n.size - margin ], self.y[ 0 : self.n.size - margin ])
        self.line1_tail.set_data(np.append(self.n[-10:-1 - margin], self.n[-1 - margin]), np.append(self.y[-10:-1 - margin], self.y[-1 - margin]))
        self.line1_head.set_data(self.n[-1 - margin], self.y[-1 - margin])
        self._drawn_artists = [self.line1, self.line1_tail, self.line1_head]
        return

''' End Class '''


# You need to setup a signal slot mechanism, to
# send data to your GUI in a thread-safe way.
# Believe me, if you don't do this right, things
# go very very wrong..
class Communicate(QObject):
    data_signal = pyqtSignal(float)

''' End Class '''



def dataSendLoop(addData_callbackFunc):
    # Setup the signal-slot mechanism.
    mySrc = Communicate()
    mySrc.data_signal.connect(addData_callbackFunc)

    # Simulate some data
    n = np.linspace(0, 499, 500)
    y = 50 + 25*(np.sin(n / 8.3)) + 10*(np.sin(n / 7.5)) - 5*(np.sin(n / 1.5))
    i = 0

    while(True):
        if(i > 499):
            i = 0
        time.sleep(0.1)
        mySrc.data_signal.emit(y[i]) # <- Here you emit a signal!
        i += 1
    ###
###

if __name__== '__main__':
    app = QApplication(sys.argv)
    QApplication.setStyle(QStyleFactory.create('Plastique'))
    myGUI = CustomMainWindow()
    sys.exit(app.exec_())

试试看。将此代码复制粘贴到一个新的 python 文件中,然后运行它。你应该得到一个漂亮的、平滑移动的图表:

在此处输入图像描述

于 2016-07-20T16:48:40.313 回答
39

这些方法都不适合我。但我发现这个 实时 matplotlib 图在循环中不起作用

您只需要添加

plt.pause(0.0001)

然后你可以看到新的情节。

所以你的代码应该是这样的,它会工作

import matplotlib.pyplot as plt
import numpy as np
plt.ion() ## Note this correction
fig=plt.figure()
plt.axis([0,1000,0,1])

i=0
x=list()
y=list()

while i <1000:
    temp_y=np.random.random();
    x.append(i);
    y.append(temp_y);
    plt.scatter(i,temp_y);
    i+=1;
    plt.show()
    plt.pause(0.0001) #Note this correction
于 2014-06-15T09:33:01.467 回答
35

最重要的(和许多其他的)答案是建立在 上的plt.pause(),但这是在 matplotlib 中为情节设置动画的一种旧方式。它不仅速度慢,而且每次更新都会引起关注(我很难停止绘制 python 进程)。

TL;DR:您可能想要使用matplotlib.animation如文档中所述)。

在挖掘了各种答案和代码片段之后,事实证明这对我来说是一种无限绘制传入数据的流畅方式。

这是我的快速入门代码。它每 200 毫秒用 [0, 100) 中的随机数无限地绘制当前时间,同时还处理视图的自动缩放:

from datetime import datetime
from matplotlib import pyplot
from matplotlib.animation import FuncAnimation
from random import randrange

x_data, y_data = [], []

figure = pyplot.figure()
line, = pyplot.plot_date(x_data, y_data, '-')

def update(frame):
    x_data.append(datetime.now())
    y_data.append(randrange(0, 100))
    line.set_data(x_data, y_data)
    figure.gca().relim()
    figure.gca().autoscale_view()
    return line,

animation = FuncAnimation(figure, update, interval=200)

pyplot.show()

您还可以在 FuncAnimation 文档中blit探索更好的性能。

文档中的一个示例blit

import numpy as np
import matplotlib.pyplot as plt
from matplotlib.animation import FuncAnimation

fig, ax = plt.subplots()
xdata, ydata = [], []
ln, = plt.plot([], [], 'ro')

def init():
    ax.set_xlim(0, 2*np.pi)
    ax.set_ylim(-1, 1)
    return ln,

def update(frame):
    xdata.append(frame)
    ydata.append(np.sin(frame))
    ln.set_data(xdata, ydata)
    return ln,

ani = FuncAnimation(fig, update, frames=np.linspace(0, 2*np.pi, 128),
                    init_func=init, blit=True)
plt.show()
于 2017-12-27T09:10:37.000 回答
34

show可能不是最好的选择。我会做的是pyplot.draw()改用。您可能还希望time.sleep(0.05)在循环中包含一个小的时间延迟(例如 ),以便您可以看到正在发生的图。如果我对您的示例进行这些更改,它对我有用,并且我看到每个点一次出现一个。

于 2012-08-08T23:48:57.177 回答
16

我知道这个问题很老,但现在在 GitHub 上有一个名为drawow的包,名为“python-drawnow”。这提供了一个类似于 MATLAB 的 drawow 的界面——您可以轻松地更新图形。

您的用例示例:

import matplotlib.pyplot as plt
from drawnow import drawnow

def make_fig():
    plt.scatter(x, y)  # I think you meant this

plt.ion()  # enable interactivity
fig = plt.figure()  # make a figure

x = list()
y = list()

for i in range(1000):
    temp_y = np.random.random()
    x.append(i)
    y.append(temp_y)  # or any arbitrary update to your figure's data
    i += 1
    drawnow(make_fig)

python-drawnow 是一个瘦包装器,plt.draw但提供了在图形显示后确认(或调试)的能力。

于 2014-05-09T15:25:06.337 回答
7

问题似乎是您希望plt.show()显示窗口然后返回。它不这样做。该程序将在该点停止,只有在您关闭窗口后才能恢复。您应该能够测试:如果您关闭窗口,然后应该弹出另一个窗口。

要解决该问题,只需plt.show()在循环后调用一次。然后你得到完整的情节。(但不是“实时绘图”)

block您可以尝试像这样设置关键字参数:plt.show(block=False)在开始时使用一次,然后用于.draw()更新。

于 2012-08-08T23:44:15.233 回答
7

另一种选择是使用bokeh。IMO,至少对于实时绘图来说,它是一个不错的选择。这是问题中代码的散景版本:

from bokeh.plotting import curdoc, figure
import random
import time

def update():
    global i
    temp_y = random.random()
    r.data_source.stream({'x': [i], 'y': [temp_y]})
    i += 1

i = 0
p = figure()
r = p.circle([], [])
curdoc().add_root(p)
curdoc().add_periodic_callback(update, 100)

并运行它:

pip3 install bokeh
bokeh serve --show test.py

散景通过 websocket 通信在 web 浏览器中显示结果。当数据由远程无头服务器进程生成时,它特别有用。

散景示例图

于 2020-03-16T18:04:27.363 回答
6

实时绘制 CPU 使用情况的示例用例。

import time
import psutil
import matplotlib.pyplot as plt

fig = plt.figure()
ax = fig.add_subplot(111)

i = 0
x, y = [], []

while True:
    x.append(i)
    y.append(psutil.cpu_percent())

    ax.plot(x, y, color='b')

    fig.canvas.draw()

    ax.set_xlim(left=max(0, i - 50), right=i + 50)
    fig.show()
    plt.pause(0.05)
    i += 1
于 2020-04-05T01:10:10.897 回答
5

这是我必须在我的系统上工作的版本。

import matplotlib.pyplot as plt
from drawnow import drawnow
import numpy as np

def makeFig():
    plt.scatter(xList,yList) # I think you meant this

plt.ion() # enable interactivity
fig=plt.figure() # make a figure

xList=list()
yList=list()

for i in np.arange(50):
    y=np.random.random()
    xList.append(i)
    yList.append(y)
    drawnow(makeFig)
    #makeFig()      The drawnow(makeFig) command can be replaced
    #plt.draw()     with makeFig(); plt.draw()
    plt.pause(0.001)

drawow(makeFig) 行可以用 makeFig() 替换;plt.draw() 序列,它仍然可以正常工作。

于 2015-05-05T18:19:13.947 回答
1

如果您想绘制而不是冻结线程,因为绘制了更多点,您应该使用 plt.pause() 而不是 time.sleep()

我使用以下代码绘制一系列 xy 坐标。

import matplotlib.pyplot as plt 
import math


pi = 3.14159

fig, ax = plt.subplots()

x = []
y = []

def PointsInCircum(r,n=20):
    circle = [(math.cos(2*pi/n*x)*r,math.sin(2*pi/n*x)*r) for x in xrange(0,n+1)]
    return circle

circle_list = PointsInCircum(3, 50)

for t in range(len(circle_list)):
    if t == 0:
        points, = ax.plot(x, y, marker='o', linestyle='--')
        ax.set_xlim(-4, 4) 
        ax.set_ylim(-4, 4) 
    else:
        x_coord, y_coord = circle_list.pop()
        x.append(x_coord)
        y.append(y_coord)
        points.set_data(x, y)
    plt.pause(0.01)
于 2015-05-01T20:53:05.037 回答
1

这是使用while循环绘制动态实时matplot动画的正确方法

对此也有一篇中等文章:

pip install celluloid # 这将捕获图像/动画

import matplotlib.pyplot as plt
import numpy as np
from celluloid import Camera # getting the camera
import matplotlib.animation as animation
from IPython import display
import time
from IPython.display import HTML

import warnings
%matplotlib notebook
warnings.filterwarnings('ignore')
warnings.simplefilter('ignore')

fig = plt.figure() #Empty fig object
ax = fig.add_subplot() #Empty axis object
camera = Camera(fig) # Camera object to capture the snap

def f(x):
    ''' function to create a sine wave'''
    return np.sin(x) + np.random.normal(scale=0.1, size=len(x))

l = []

while True:
    value = np.random.randint(9) #random number generator
    l.append(value) # appneds each time number is generated
    X = np.linspace(10, len(l)) # creates a line space for x axis, Equal to the length of l

    for i in range(10): #plots 10 such lines
        plt.plot(X, f(X))

    fig.show() #shows the figure object
    fig.canvas.draw() 
    camera.snap() # camera object to capture teh animation
    time.sleep(1)

并用于保存等:

animation = camera.animate(interval = 200, repeat = True, repeat_delay = 500)
HTML(animation.to_html5_video())
animation.save('abc.mp4') # to save 

输出是:

在此处输入图像描述

于 2021-09-29T11:23:33.997 回答