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import random
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import math
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import numpy as np
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import tkinter as tk
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from math import *
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from tkinter import *
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from tkinter import messagebox
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import matplotlib.pyplot as plt
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import numpy.ma
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import pyautogui as ag
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from numpy import arange
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def leftclick(event): # 测试鼠标点击
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x, y = event.x, event.y
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print('坐标{}, {}'.format(x, y))
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def window_open(width, height):
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X, Y = ag.size() # 获取分辨率
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winSize = str(width) + "x" + str(height)
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# print("winsize",winSize)
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wiarangeos = winSize + "+" + str((X - width) // 2)
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wiarangeos += "+" + str((Y - height) // 2)
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# print("wiarangeos",wiarangeos)
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# window.geometry(wiarangeos) #指定窗口大小
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# window.resizable(False, False) #窗口不可调
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title = u'桌面分辨率：' + str(X) + "x" + str(Y)
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title += ' ' * 5 + u'窗体大小：' + winSize
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window.title(title)
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# window.update()
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def x1_1(): # 随机给出1000个点坐标,赋值给xyMap,<class 'numpy.ndarray'>
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shape = [1000, 2]
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xyMap = np.random.randint(-200, 200, size=shape)
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return xyMap
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print(x1_1())
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# ab = x1_1()
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# print(ab,len(ab),type(ab))
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def x1_2(problemIndex): # 程序给出任一函数 y=f(x)计算x=1到1000的y值，赋值给xyMap
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# shape = [1000,2] #x值为1到1000，y为其对应函数值
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xyMap = np.random.rand(1000, 2)
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if problemIndex == 1:
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for x in range(1, 1001):
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xyMap[x - 1][0] = x # xyMap序号为0-999
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xyMap[x - 1][1] = np.sin(x)
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return xyMap
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elif problemIndex == 2:
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for x in range(1, 1001):
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xyMap[x - 1][0] = x
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xyMap[x - 1][1] = np.cos(x)
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return xyMap
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elif problemIndex == 3:
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for x in range(1, 1001):
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xyMap[x - 1][0] = x
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xyMap[x - 1][1] = np.tan(x)
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return xyMap
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elif problemIndex == 4:
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for x in range(1, 1001):
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xyMap[x - 1][0] = x
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xyMap[x - 1][1] = x * 2 + 2
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return xyMap
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print(x1_2(4)[:50])
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print(x1_2(1))
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def x1_3(problemIndex): # 程序给出任一函数y=f(x)计算x=-500到+500的y值赋值给xyMap
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c = 0 # 此处x赋值为-500到-1到，1到500到1000个
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shape = [1000, 2] # y赋值为其对应的函数
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xyMap = np.random.rand(1000, 2)
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if problemIndex == 1:
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for x in range(-500, 500):
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if (x == 0):
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continue
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xyMap[c][0] = x
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xyMap[c][1] = math.sin(x)
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c += 1
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return xyMap
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elif problemIndex == 2:
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for x in range(-500, 500):
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if (x == 0):
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continue
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xyMap[c][0] = x
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xyMap[c][1] = math.cos(x)
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c += 1
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return xyMap
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elif problemIndex == 3:
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for x in range(-500, 500):
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if (x == 0):
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continue
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xyMap[c][0] = x
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xyMap[c][1] = math.tan(x)
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c += 1
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return xyMap
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elif problemIndex == 4:
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for x in range(-500, 501):
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if (x == 0):
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continue
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xyMap[c][0] = x
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xyMap[c][1] = x * 2 + 2
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c += 1
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return xyMap
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# print(x1_3(1))
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def x1_4(ProblemIndex):
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step = 3 # 步长
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y = []
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i, c = 0, 0
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number = 1000 # 个数
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while (True):
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if (c == number):
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break
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else:
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y.append(i)
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i += step
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c += 1
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y = np.array(y)
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xyMap = np.random.rand(1000, 2)
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if (ProblemIndex == 1):
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for i in range(len(y)):
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xyMap[i][0] = y[i]
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xyMap[i][1] = 2 * y[i] + 1
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return xyMap
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elif (ProblemIndex == 2):
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for i in range(len(y)):
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xyMap[i][0] = y[i]
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xyMap[i][1] = y[i] / 3
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return xyMap
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def x_6(xymap): # 按xymap绘制曲线
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xy = xymap.tolist()
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canvas.create_line(xy, fill="purple", width=1)
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def x_5(x, y):
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# 1----x,y轴
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canvas.create_line(0, y / 2, x, y / 2, fill='white', arrow=LAST) # 绘制x轴
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canvas.create_line(x / 2, 0, x / 2, y, fill='white', arrow=FIRST) # 绘制y轴
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# 绘制坐标轴的刻度
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def kedu():
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# #两个for分别为xy刻度
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for i in range(-math.ceil((loca_y / bili_x)) + 1, math.ceil((canvas_x - loca_y) / bili_x)):
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j = i * bili_x
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# i*bili_x即实际的坐标轴对应的放大bili倍后的值，但是这个值并不是真正的像素点
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# 以中心点(loca_y, loca_x)为原点的，要在这里加上对应的原点像素值才能得到真正的坐标轴对应的像素点
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if (i % 10 == 0):
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canvas.create_line(j + loca_y, loca_x, j + loca_y, loca_x - 5, fill='black')
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canvas.create_text(j + loca_y, loca_x + 10, text=i)
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# y轴是相反的，所以正半轴为：cordinate_x，负半轴为canvas_y - cordinate_x
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# 此处的算法应该改为range*( -(canvas_y - loca_x) / bili_y) + 1, (cordinate_x / bili_y)) )
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# xmin,xmax =math.ceil((loca_y / bili_x)) + 1, math.ceil((canvas_x-loca_y) / bili_x)
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# print(xmin,xmax)
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for i in range(-math.ceil((canvas_y - loca_x) / bili_y) + 1, math.ceil((loca_x / bili_y))):
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j = -(i * bili_y)
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# i*bili_y即实际的坐标轴对应的放大bili倍后的值，但是这个值并不是真正的像素点
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# 以中心点(loca_y, loca_x)为原点的，因此在这里加上对应的原点像素值才能得到真正的坐标轴对应的像素点
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if (i == 0):
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continue
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elif (i % 2 == 0):
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canvas.create_line(loca_y, j + loca_x, loca_y + 5, j + loca_x, fill='black')
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canvas.create_text(loca_y - 10, j + loca_x, text=i)
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# print(loca_x,loca_y)
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def si():
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global x0, y0, loca_x, loca_y
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x0, y0 = 375, 275 # 四象限原点坐标
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loca_x, loca_y = y0, x0
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canvas.create_rectangle(0, 0, x_zhou, y_zhou, fill='#CDCDCD', width=5, outline='#CDCDCD')
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canvas.create_oval(170, y_zhou + 145, 200, y_zhou + 175, fill='black', width=1, outline='white')
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canvas.create_oval(350, y_zhou + 145, 380, y_zhou + 175, fill='white', width=1, outline='black')
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# kedu()
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canvas.create_line(0, y0, x_zhou, y0, fill='white', arrow=LAST) # 一象限xy轴
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canvas.create_line(x0, 0, x0, y_zhou, fill='white', arrow=FIRST)
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def yi():
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global x0, y0, loca_x, loca_y
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x0, y0 = 20, 500 # 一象限原点
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loca_x, loca_y = y0, x0
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canvas.create_rectangle(0, 0, x_zhou, y_zhou, fill='#CDCDCD', width=5, outline='#CDCDCD')
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canvas.create_oval(170, y_zhou + 145, 200, y_zhou + 175, fill='white', width=1, outline='black')
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canvas.create_oval(350, y_zhou + 145, 380, y_zhou + 175, fill='black', width=1, outline='white')
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# kedu()
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canvas.create_line(0, y0, x_zhou, y0, fill='white', arrow=LAST) # 一象限xy轴
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canvas.create_line(x0, 0, x0, y_zhou, fill='white', arrow=FIRST)
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def x_show(x, y): # GUI界面 坐标系的x:x轴长，y：y轴长
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xmin, xmax = math.ceil((loca_y / bili_x)) + 1, math.ceil((canvas_x - loca_y) / bili_x)
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# print("xmain",xmin,xmax)
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# 1----x,y轴
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# canvas.create_line(0,y0,x,y0,fill='white',arrow=LAST) # 一象限xy轴
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# canvas.create_line(x0,0,x0,y,fill='white',arrow=FIRST)
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# 2----背景涂白
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canvas.create_rectangle(x, 0, 1200, y, fill='white', width=5, outline='white') # 右上区白色背景
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canvas.create_rectangle(0, y, 1200, 800, fill='white', width=3, outline='white') # 下半区白色背景
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# 3----输入框
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e1 = tk.Entry(window, font=('Arial', 18), width=40, bg='#C0D9D9', bd=1) # 用户自命名函数输入
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e1.place(x=70, y=y + 15, height=50)
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canvas.create_text(95, y + 100, text="x步长", fill='black', font=("Purisa", 15, "bold"))
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e2 = tk.Entry(window, font=('Arial', 15), width=15, bg='#C0D9D9', bd=1) # x步长输入
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e2.place(x=130, y=y + 75, height=50)
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canvas.create_text(380, y + 100, text="x个数", fill='black', font=("Purisa", 15, "bold"))
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e3 = tk.Entry(window, font=('Arial', 15), width=15, bg='#C0D9D9', bd=1) # x个数输入
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e3.place(x=415, y=y + 75, height=50)
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e4 = tk.Entry(window, font=('Arial', 18), width=10, bg='#C0D9D9', bd=1) # x放大倍数
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e4.place(x=200, y=750, height=35)
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canvas.create_text(95, y + 100, text="x步长", fill='black', font=("Purisa", 15, "bold"))
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e5 = tk.Entry(window, font=('Arial', 15), width=10, bg='#C0D9D9', bd=1) # y放大倍数
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e5.place(x=580, y=750, height=35)
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# 4----右侧label文本
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canvas.create_text(x + 180, 35, text='可识别基本函数', fill='red', font=("Purisa", 25, "bold"))
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text = "可支持下列函数的加减乘除组合运算\n" \
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"y=sin(x)\n" \
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"y=cos(x)\n" \
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"y=tan(x)\n" \
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"y=cot(x)\n" \
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"y=x^n\n" \
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"y=P1(y=x^3+x^2+x+5)\n" \
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"---将括号内的表达式命名为P1,P1可\n" \
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"出现于用户构造中"
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label = tk.Label(window, text=text, font=('Arial', 15, 'bold italic'), bg='white',
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# 设置标签内容区?
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width=28, height=16,
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# 设置填充区距离、边框宽度和其样式（凹陷式）
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padx=5, pady=5, borderwidth=5, relief="sunken", justify="center")
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label.place(x=x + 5, y=60)
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# 5----左下按钮
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canvas.create_text(100, y + 160, text="坐标轴", fill='black', font=("Purisa", 18, "bold"))
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canvas.create_text(120, y + 210, text="x放大倍数", fill='black', font=("Purisa", 18, "bold"))
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canvas.create_text(500, y + 210, text="y放大倍数", fill='black', font=("Purisa", 18, "bold"))
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canvas.create_oval(170, y + 145, 200, y + 175, fill='white', width=1, outline='black') # 左小圆
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canvas.create_oval(350, y + 145, 380, y + 175, fill='white', width=1, outline='black') # 右小圆
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def function_user():
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if (e1.get() == "y=sin(x)"):
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Graph(0, sin, x0, y0, -xmin, xmax, 750 / 2, 300 / 2, c='#32CD32')
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elif (e1.get() == "y=cos(x)"):
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Graph(0, fx2, x0, y0, -xmin, xmax, 750 / 2, 300 / 2, c='#238E23')
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elif (e1.get() == "y=tan(x)"):
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Graph(0, fx3, x0, y0, -xmin, xmax, 750 / 2, 300 / 2, c='#FF6EC7')
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elif (e1.get() == "y=cot(x)"):
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Graph(0, fx4, x0, y0, -xmin, xmax, 750 / 2, 300 / 2, c='#CFB53B')
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elif (e1.get() == "y=sin(x)+cos(x)"):
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Graph(0, fx5, x0, y0, -xmin, xmax, 750 / 2, 300 / 2, c='#99CC32')
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elif (e1.get() == "y=sin(x)*cos(x)"):
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Graph(0, fx6, x0, y0, -xmin, xmax, 750 / 2, 300 / 2, c='#007FFF')
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elif (e1.get() == "y=sin(x)-cos(x)+tan(x)"):
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Graph(0, fx7, x0, y0, -xmin, xmax, 750 / 2, 300 / 2, c='#007FFF')
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elif (e1.get() == "y=x"):
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Graph(0, fx8, x0, y0, -xmin, xmax, 750 / 2, 300 / 2, c='#8E2323')
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elif (e1.get() == "y=x**2"):
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Graph(0, fx9, x0, y0, -xmin, xmax, 750 / 2, 300 / 2, c='#8E2323')
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def function_print():
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global bili_x, bili_y
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bili_x = float(e4.get())
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bili_y = float(e5.get())
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buchang = float(e2.get())
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kedu()
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if (e1.get() == "y=sin(x)"):
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Graph(buchang, sin, x0, y0, -xmin, xmax, 750 / 2, 300 / 2, c='#32CD32')
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elif (e1.get() == "y=cos(x)"):
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Graph(buchang, fx2, x0, y0, -xmin, xmax, 750 / 2, 300 / 2, c='#238E23')
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elif (e1.get() == "y=tan(x)"):
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Graph(buchang, fx3, x0, y0, -xmin, xmax, 750 / 2, 300 / 2, c='#FF6EC7')
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elif (e1.get() == "y=cot(x)"):
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Graph(buchang, fx4, x0, y0, -xmin, xmax, 750 / 2, 300 / 2, c='#CFB53B')
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elif (e1.get() == "y=sin(x)+cos(x)"):
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Graph(buchang, fx5, x0, y0, -xmin, xmax, 750 / 2, 300 / 2, c='#99CC32')
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elif (e1.get() == "y=sin(x)*cos(x)"):
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Graph(buchang, fx6, x0, y0, -xmin, xmax, 750 / 2, 300 / 2, c='#007FFF')
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elif (e1.get() == "y=sin(x)-cos(x)+tan(x)"):
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Graph(buchang, fx7, x0, y0, -xmin, xmax, 750 / 2, 300 / 2, c='#007FFF')
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elif (e1.get() == "y=x"):
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Graph(buchang, fx8, x0, y0, -xmin, xmax, 750 / 2, 300 / 2, c='#8E2323')
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elif (e1.get() == "y=x**2"):
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Graph(buchang, fx9, x0, y0, -xmin, xmax, 750 / 2, 300 / 2, c='#8E2323')
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# 按钮一：命名函数
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button = tk.Button(window, text='用户命名并新增基本函数', bg='#38B0DE', command=function_user,
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font=("Purisa", 13, "bold"), foreground='black')
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button.place(x=x + 8, y=y + 10, width=440, height=60)
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# 按钮二：输出
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button = tk.Button(window, text='输出', font=("Purisa", 13, "bold"), command=function_print, foreground='black')
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button.place(x=x + 10, y=y + 90, width=70, height=60)
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# 按钮三：切换四象限
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button = tk.Button(window, command=si, text='四象限', bd=0, font=("Asria", 15, "bold"))
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button.place(x=230, y=y + 140, width=70, height=45)
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# 按钮四：切换一象限
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button = tk.Button(window, command=yi, text='一象限', bd=0, font=("Asria", 15, "bold"))
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button.place(x=400, y=y + 140, width=70, height=45)
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def Graph(draw_precision, func, x0, y0, xmin, xmax, w, h, c='blue'): # 画基本函数图像
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'xmin,xmax 自变量的取值范围； c 图像颜色'
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'x0,y0 原点坐标 w,h 横纵轴半长 draw_precision 步进'
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w1, w2 = bili_x, bili_y # w1,w2为自变量和函数值在横纵轴上的放大倍数
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# w,h = 750/2,550/2
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w, h = x_zhou, y_zhou
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xmin, xmax = -math.ceil((loca_y / bili_x)) + 1, math.ceil((canvas_x - loca_y) / bili_x)
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# xmax = math.ceil((canvas_x-loca_y) / bili_x)
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co2 = []
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count = 0
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for x in arange(xmin, xmax, draw_precision): # draw_precision----画图精度
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y = func(x)
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# print(x,y)
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# co2.append((x0+w1*x,y0-w2*y))
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coord = x0 + w1 * x, y0 - w2 * y, x0 + w1 * x + 1, y0 - w2 * y + 1
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# coord = x0+w1*x,y0-w2*y
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# coord2 = x0+w1*x+1,y0-w2*y+1
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# if abs(x*w1)<w and abs(y*w2)<h and abs(coord[1])<y_zhou:
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if abs(coord[1]) < y_zhou: # 超过w,h就截断
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# print(coord,type(coord))
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co2.append((x0 + w1 * x, y0 - w2 * y))
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# co2.append((x0+w1*x+draw_precision,y0-w2*y+draw_precision ))
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# print(x,y)
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# canvas.create_line(coord,coord2,fill=c,width=2)
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for i in range(len(co2)):
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if (draw_precision >= 1):
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canvas.create_line(co2, fill=c, width=1)
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if (i + 1 == len(co2)):
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break
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if (abs(co2[i][1] - co2[i + 1][1]) > 100):
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continue
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else:
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canvas.create_line(co2[i], co2[i + 1], fill=c, width=1)
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print("min,max:", xmin, xmax)
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# print(co2,type(co2),len(co2)) #x个数
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# canvas.create_line(co2,fill=c,width=1)
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# canvas.create_line(co2[:20],fill=c,width=1)
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canvas.update()
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# y=tan(x)
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# y=sin(x)
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fx1 = lambda x: sin(x)
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print(fx1)
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fx2 = lambda x: cos(x)
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fx3 = lambda x: tan(x)
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fx4 = lambda x: (1 / tan(x)) # cot
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fx5 = lambda x: sin(x) + cos(x)
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fx6 = lambda x: sin(x) * cos(x)
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fx7 = lambda x: sin(x) - cos(x) + tan(x)
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fx8 = lambda x: x
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fx9 = lambda x: (x ** 2)
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width, height = 1200, 800 # 画布与窗口大小相同
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x0, y0 = 375, 275 # 四象限原点坐标
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# x0,y0 = 20,500 #一象限原点坐标
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# xmin,xmax = 10,10 #自变量最大值
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x_zhou, y_zhou = 750, 550
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# canvas_x ,canvas_y = 800,480 #x,y轴长
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canvas_x, canvas_y = x_zhou, y_zhou
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origin = (x0, y0) # 原点的x, y像素值
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loca_x = origin[1] # 坐标轴 x (在y轴上的)的位置
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loca_y = origin[0] # 坐标轴 y (在x轴上的)的位置
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bili_x, bili_y = 10, 10 # x20尺度，y40尺度
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# draw_precision = 0.01 #画图精度为Δx
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if __name__ == '__main__':
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window = tk.Tk()
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canvas = tk.Canvas(window,
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bg='#CDCDCD',
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height=800,
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width=1200)
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canvas.pack()
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screenwidth = window.winfo_screenwidth() # 居中显示
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screenheight = window.winfo_screenheight()
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size_geo = '%dx%d+%d+%d' % (width, height, (screenwidth - width) / 2, (screenheight - height) / 2)
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window.geometry(size_geo)
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window.resizable(False, False)
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window_open(width, height)
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x_show(x_zhou, y_zhou) # GUI界面
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window.bind("<Button-1>", leftclick) # 输出鼠标点击坐标
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window.mainloop()
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