gui-op.py

# coding:utf-8
# 导入matplotlib模块并使用Qt5Agg
from gui import Ui_Dialog #导入新建好的框架
import matplotlib
matplotlib.use('Qt5Agg')
# 使用 matplotlib中的FigureCanvas (在使用 Qt5 Backends中 FigureCanvas继承自QtWidgets.QWidget)
from matplotlib.backends.backend_qt5agg import FigureCanvasQTAgg as FigureCanvas
from PyQt5 import QtCore, QtWidgets, QtGui
from PyQt5.QtWidgets import *
from matplotlib.figure import Figure
import matplotlib.pyplot as plt
import sys
import numpy as np
from PyQt5.QtWidgets import QWidget, QRadioButton, QApplication, QPushButton, QMessageBox, QButtonGroup
from numpy import *
import time
from scipy import integrate
import sip
class MyFigure(FigureCanvas):# 通过继承FigureCanvas类，使得该类既是一个PyQt5的Qwidget，又是一个matplotlib的FigureCanvas，这是连接pyqt5与matplotlib的关键
    def __init__(self, width=5, height=4, dpi=100):
        # 第一部：创建一个Figure
        self.fig = Figure(figsize=(width, height), dpi=dpi)
        # 第二步：在父类中激活Figure窗口
        super(MyFigure, self).__init__(self.fig)

class MainDialogImgBW(QDialog,Ui_Dialog):
    num = 3
    l_max = 1
    l_min =-1
    str_hs = 'x'
    f_1 =False
    f_2 =False
    f=0
    def __init__(self):
        super(MainDialogImgBW,self).__init__()
        self.setupUi(self)
        self.setMinimumSize(0,0)
        self.gridlayout = QGridLayout(self.groupBox_5)  # 继承容器groupBox
    def operation(self):
        self.num = self.bg.checkedId()
        self.l_max = eval(self.lineEdit.text())
        self.l_min = eval(self.lineEdit_2.text())
        self.str_hs = self.lineEdit_3.text()
        self.f_1 = self.checkBox.isChecked()
        self.f_2 = self.checkBox_2.isChecked()
        # 画图
        self.n_plot()
        if self.bd():
            self.textBrowser.setText("")
            if self.f_1:
                self.grass_lagrange()
            if self.f_2:
                self.scipy_jf()
    # 高斯-勒让德求积
    def grass_lagrange(self):
        def l_change(l_min,l_max, t):  # 积分区域变换
            return (t + 1) * (l_max - l_min) / 2 + l_min
        n = [  # n=0
            {'x1': 0, 'A1': 2},
            # n=1
            {'x1': -0.5773502691896250, 'x2': 0.5773502691896250, 'A1': 1, 'A2': 1},
            # n=2
            {'x1': -0.7745966692414830, 'x2': 0, 'x3': 0.7745966692414830, 'A1': 0.5555555555555550,
             'A2': 0.8888888888888880, 'A3': 0.5555555555555550},
            # n=3
            {'x1': -0.8611363115940520, 'x2': -0.3399810435848560, 'x3': 0.3399810435848560, 'x4': 0.8611363115940520,
             'A1': 0.3478548451374530, 'A2': 0.6521451548625460, 'A3': 0.6521451548625460, 'A4': 0.3478548451374530},
            # n=4
            {'x1': -0.9061798459386640, 'x2': -0.5384693101056830, 'x3': 0, 'x4': 0.5384693101056830,
             'x5': 0.9061798459386640,
             'A1': 0.2369268850561890, 'A2': 0.4786286704993660, 'A3': 0.5688888888888880, 'A4': 0.4786286704993660,
             'A5': 0.2369268850561890},
            # n=5
            {'x1': -0.9324695142031520, 'x2': -0.6612093864662640, 'x3': -0.2386191860831960, 'x4': 0.2386191860831960,
             'x5': 0.6612093864662640,
             'x6': 0.9324695142031520,
             'A1': 0.1713244923791700, 'A2': 0.3607615730481380, 'A3': 0.4679139345726910, 'A4': 0.4679139345726910,
             'A5': 0.3607615730481380,
             'A6': 0.1713244923791700},
            # n=6
            {'x1': -0.9491079123427580, 'x2': -0.7415311855993940, 'x3': -0.4058451513773970, 'x4': 0.0000000000000000,
             'x5': 0.4058451513773970,
             'x6': 0.7415311855993940, 'x7': 0.9491079123427580,
             'A1': 0.1294849661688690, 'A2': 0.2797053914892760, 'A3': 0.3818300505051180, 'A4': 0.4179591836734690,
             'A5': 0.3818300505051180,
             'A6': 0.2797053914892760, 'A7': 0.1294849661688690},
            # n=7
            {'x1': -0.9602898564975360, 'x2': -0.7966664774136260, 'x3': -0.5255324099163290, 'x4': -0.1834346424956490,
             'x5': 0.1834346424956490,
             'x6': 0.5255324099163290, 'x7': 0.7966664774136260, 'x8': 0.9602898564975360,
             'A1': 0.1012285362903760, 'A2': 0.2223810344533740, 'A3': 0.3137066458778870, 'A4': 0.3626837833783620,
             'A5': 0.3626837833783620,
             'A6': 0.3137066458778870, 'A7': 0.2223810344533740, 'A8': 0.1012285362903760},
            # n=8
            {'x1': -0.9681602395076260, 'x2': -0.8360311073266350, 'x3': -0.6133714327005900, 'x4': -0.3242534234038080,
             'x5': 0.0000000000000000,
             'x6': 0.3242534234038080, 'x7': 0.6133714327005900, 'x8': 0.8360311073266350, 'x9': 0.9681602395076260,
             'A1': 0.0812743883615744, 'A2': 0.1806481606948570, 'A3': 0.2606106964029350, 'A4': 0.3123470770400020,
             'A5': 0.3302393550012590,
             'A6': 0.3123470770400020, 'A7': 0.2606106964029350, 'A8': 0.1806481606948570, 'A9': 0.0812743883615744},
            # n=9
            {'x1': -0.9739065285171710, 'x2': -0.8650633666889840, 'x3': -0.6794095682990240, 'x4': -0.4333953941292470,
             'x5': -0.1488743389816310,
             'x6': 0.1488743389816310, 'x7': 0.4333953941292470, 'x8': 0.6794095682990240, 'x9': 0.8650633666889840,
             'x10': 0.9739065285171710,
             'A1': 0.0666713443086881, 'A2': 0.1494513491505800, 'A3': 0.2190863625159820, 'A4': 0.2692667193099960,
             'A5': 0.2955242247147520,
             'A6': 0.2955242247147520, 'A7': 0.2692667193099960, 'A8': 0.2190863625159820, 'A9': 0.1494513491505800,
             'A10': 0.0666713443086881},
            # n=10
            {'x1': -0.9782286581460570, 'x2': -0.8870625997680950, 'x3': -0.7301520055740490, 'x4': -0.5190961292068110,
             'x5': -0.2695431559523440,
             'x6': 0.0000000000000000, 'x7': 0.2695431559523440, 'x8': 0.5190961292068110, 'x9': 0.7301520055740490,
             'x10': 0.8870625997680950,
             'x11': 0.9782286581460570,
             'A1': 0.0556685671161736, 'A2': 0.1255803694649040, 'A3': 0.1862902109277340, 'A4': 0.2331937645919900,
             'A5': 0.2628045445102460,
             'A6': 0.2729250867779000, 'A7': 0.2628045445102460, 'A8': 0.2331937645919900, 'A9': 0.1862902109277340,
             'A10': 0.1255803694649040,
             'A11': 0.0556685671161736},
            # n=11
            {'x1': -0.9815606342467190, 'x2': -0.9041172563704740, 'x3': -0.7699026741943040, 'x4': -0.5873179542866170,
             'x5': -0.3678314989981800,
             'x6': -0.1252334085114680, 'x7': 0.1252334085114680, 'x8': 0.3678314989981800, 'x9': 0.5873179542866170,
             'x10': 0.7699026741943040,
             'x11': 0.9041172563704740, 'x12': 0.9815606342467190,
             'A1': 0.0471753363865118, 'A2': 0.1069393259953180, 'A3': 0.1600783285433460, 'A4': 0.2031674267230650,
             'A5': 0.2334925365383540,
             'A6': 0.2491470458134020, 'A7': 0.2491470458134020, 'A8': 0.2334925365383540, 'A9': 0.2031674267230650,
             'A10': 0.1600783285433460,
             'A11': 0.1069393259953180, 'A12': 0.0471753363865118},
            # n=12
            {'x1': -0.9841830547185880, 'x2': -0.9175983992229770, 'x3': -0.8015780907333090, 'x4': -0.6423493394403400,
             'x5': -0.4484927510364460,
             'x6': -0.2304583159551340, 'x7': 0.0000000000000000, 'x8': 0.2304583159551340, 'x9': 0.4484927510364460,
             'x10': 0.6423493394403400,
             'x11': 0.8015780907333090, 'x12': 0.9175983992229770, 'x13': 0.9841830547185880,
             'A1': 0.0404840047653158, 'A2': 0.0921214998377284, 'A3': 0.1388735102197870, 'A4': 0.1781459807619450,
             'A5': 0.2078160475368880,
             'A6': 0.2262831802628970, 'A7': 0.2325515532308730, 'A8': 0.2262831802628970, 'A9': 0.2078160475368880,
             'A10': 0.1781459807619450,
             'A11': 0.1388735102197870, 'A12': 0.0921214998377284, 'A13': 0.0404840047653158},
            # n=13
            {'x1': -0.9862838086968120, 'x2': -0.9284348836635730, 'x3': -0.8272013150697650, 'x4': -0.6872929048116850,
             'x5': -0.5152486363581540,
             'x6': -0.3191123689278890, 'x7': -0.1080549487073430, 'x8': 0.1080549487073430, 'x9': 0.3191123689278890,
             'x10': 0.5152486363581540,
             'x11': 0.6872929048116850, 'x12': 0.8272013150697650, 'x13': 0.9284348836635730, 'x14': 0.9862838086968120,
             'A1': 0.0351194603317518, 'A2': 0.0801580871597602, 'A3': 0.1215185706879030, 'A4': 0.1572031671581930,
             'A5': 0.1855383974779370,
             'A6': 0.2051984637212950, 'A7': 0.2152638534631570, 'A8': 0.2152638534631570, 'A9': 0.2051984637212950,
             'A10': 0.1855383974779370,
             'A11': 0.1572031671581930, 'A12': 0.1215185706879030, 'A13': 0.0801580871597602,
             'A14': 0.0351194603317518},
            # n=14
            {'x1': -0.9879925180204850, 'x2': -0.9372733924007060, 'x3': -0.8482065834104270, 'x4': -0.7244177313601700,
             'x5': -0.5709721726085380,
             'x6': -0.3941513470775630, 'x7': -0.2011940939974340, 'x8': 0.0000000000000000, 'x9': 0.2011940939974340,
             'x10': 0.3941513470775630,
             'x11': 0.5709721726085380, 'x12': 0.7244177313601700, 'x13': 0.8482065834104270, 'x14': 0.9372733924007060,
             'x15': 0.9879925180204850,
             'A1': 0.0307532419961172, 'A2': 0.0703660474881081, 'A3': 0.1071592204671710, 'A4': 0.1395706779261540,
             'A5': 0.1662692058169930,
             'A6': 0.1861610000155620, 'A7': 0.1984314853271110, 'A8': 0.2025782419255610, 'A9': 0.1984314853271110,
             'A10': 0.1861610000155620,
             'A11': 0.1662692058169930, 'A12': 0.1395706779261540, 'A13': 0.1071592204671710, 'A14': 0.0703660474881081,
             'A15': 0.0307532419961172},
            # n=15
            {'x1': -0.9894009349916490, 'x2': -0.9445750230732320, 'x3': -0.8656312023878310, 'x4': -0.7554044083550030,
             'x5': -0.6178762444026430,
             'x6': -0.4580167776572270, 'x7': -0.2816035507792580, 'x8': -0.0950125098376374, 'x9': 0.0950125098376374,
             'x10': 0.2816035507792580,
             'x11': 0.4580167776572270, 'x12': 0.6178762444026430, 'x13': 0.7554044083550030, 'x14': 0.8656312023878310,
             'x15': 0.9445750230732320,
             'x16': 0.9894009349916490,
             'A1': 0.0271524594117540, 'A2': 0.0622535239386478, 'A3': 0.0951585116824927, 'A4': 0.1246289712555330,
             'A5': 0.1495959888165760,
             'A6': 0.1691565193950020, 'A7': 0.1826034150449230, 'A8': 0.1894506104550680, 'A9': 0.1894506104550680,
             'A10': 0.1826034150449230,
             'A11': 0.1691565193950020, 'A12': 0.1495959888165760, 'A13': 0.1246289712555330, 'A14': 0.0951585116824927,
             'A15': 0.0622535239386478,
             'A16': 0.0271524594117540},
            # n=16
            {'x1': -0.9905754753144170, 'x2': -0.9506755217687670, 'x3': -0.8802391537269850, 'x4': -0.7815140038968010,
             'x5': -0.6576711592166900,
             'x6': -0.5126905370864760, 'x7': -0.3512317634538760, 'x8': -0.1784841814958470, 'x9': 0.0000000000000000,
             'x10': 0.1784841814958470,
             'x11': 0.3512317634538760, 'x12': 0.5126905370864760, 'x13': 0.6576711592166900, 'x14': 0.7815140038968010,
             'x15': 0.8802391537269850,
             'x16': 0.9506755217687670, 'x17': 0.9905754753144170,
             'A1': 0.0241483028685479, 'A2': 0.0554595293739872, 'A3': 0.0850361483171791, 'A4': 0.1118838471934030,
             'A5': 0.1351363684685250,
             'A6': 0.1540457610768100, 'A7': 0.1680041021564500, 'A8': 0.1765627053669920, 'A9': 0.1794464703562060,
             'A10': 0.1765627053669920,
             'A11': 0.1680041021564500, 'A12': 0.1540457610768100, 'A13': 0.1351363684685250, 'A14': 0.1118838471934030,
             'A15': 0.0850361483171791,
             'A16': 0.0554595293739872, 'A17': 0.0241483028685479},
            # n=17
            {'x1': -0.9915651684209300, 'x2': -0.9558239495713970, 'x3': -0.8926024664975550, 'x4': -0.8037049589725230,
             'x5': -0.6916870430603530,
             'x6': -0.5597708310739470, 'x7': -0.4117511614628420, 'x8': -0.2518862256915050, 'x9': -0.0847750130417353,
             'x10': 0.0847750130417353,
             'x11': 0.2518862256915050, 'x12': 0.4117511614628420, 'x13': 0.5597708310739470, 'x14': 0.6916870430603530,
             'x15': 0.8037049589725230,
             'x16': 0.8926024664975550, 'x17': 0.9558239495713970, 'x18': 0.9915651684209300,
             'A1': 0.0216160135264833, 'A2': 0.0497145488949698, 'A3': 0.0764257302548890, 'A4': 0.1009420441062870,
             'A5': 0.1225552067114780,
             'A6': 0.1406429146706500, 'A7': 0.1546846751262650, 'A8': 0.1642764837458320, 'A9': 0.1691423829631430,
             'A10': 0.1691423829631430,
             'A11': 0.1642764837458320, 'A12': 0.1546846751262650, 'A13': 0.1406429146706500, 'A14': 0.1225552067114780,
             'A15': 0.1009420441062870,
             'A16': 0.0764257302548890, 'A17': 0.0497145488949698, 'A18': 0.0216160135264833},
            # n=18
            {'x1': -0.9924068438435840, 'x2': -0.9602081521348300, 'x3': -0.9031559036148170, 'x4': -0.8227146565371420,
             'x5': -0.7209661773352290,
             'x6': -0.6005453046616810, 'x7': -0.4645707413759600, 'x8': -0.3165640999636290, 'x9': -0.1603586456402250,
             'x10': 0.0000000000000000,
             'x11': 0.1603586456402250, 'x12': 0.3165640999636290, 'x13': 0.4645707413759600, 'x14': 0.6005453046616810,
             'x15': 0.7209661773352290,
             'x16': 0.8227146565371420, 'x17': 0.9031559036148170, 'x18': 0.9602081521348300, 'x19': 0.9924068438435840,
             'A1': 0.0194617882297264, 'A2': 0.0448142267656996, 'A3': 0.0690445427376412, 'A4': 0.0914900216224500,
             'A5': 0.1115666455473330,
             'A6': 0.1287539625393360, 'A7': 0.1426067021736060, 'A8': 0.1527660420658590, 'A9': 0.1589688433939540,
             'A10': 0.1610544498487830,
             'A11': 0.1589688433939540, 'A12': 0.1527660420658590, 'A13': 0.1426067021736060, 'A14': 0.1287539625393360,
             'A15': 0.1115666455473330,
             'A16': 0.0914900216224500, 'A17': 0.0690445427376412, 'A18': 0.0448142267656996,
             'A19': 0.0194617882297264},
            # n=19
            {'x1': -0.9931285991850940, 'x2': -0.9639719272779130, 'x3': -0.9122344282513260, 'x4': -0.8391169718222180,
             'x5': -0.7463319064601500,
             'x6': -0.6360536807265150, 'x7': -0.5108670019508270, 'x8': -0.3737060887154190, 'x9': -0.2277858511416450,
             'x10': -0.0765265211334973,
             'x11': 0.0765265211334973, 'x12': 0.2277858511416450, 'x13': 0.3737060887154190, 'x14': 0.5108670019508270,
             'x15': 0.6360536807265150,
             'x16': 0.7463319064601500, 'x17': 0.8391169718222180, 'x18': 0.9122344282513260, 'x19': 0.9639719272779130,
             'x20': 0.9931285991850940,
             'A1': 0.0176140071391521, 'A2': 0.0406014298003869, 'A3': 0.0626720483341090, 'A4': 0.0832767415767047,
             'A5': 0.1019301198172400,
             'A6': 0.1181945319615180, 'A7': 0.1316886384491760, 'A8': 0.1420961093183820, 'A9': 0.1491729864726030,
             'A10': 0.1527533871307250,
             'A11': 0.1527533871307250, 'A12': 0.1491729864726030, 'A13': 0.1420961093183820, 'A14': 0.1316886384491760,
             'A15': 0.1181945319615180,
             'A16': 0.1019301198172400, 'A17': 0.0832767415767047, 'A18': 0.0626720483341090, 'A19': 0.0406014298003869,
             'A20': 0.0176140071391521}
        ]  # 积分
        temp = 0  # 积分结果
        start = time.perf_counter()  # 获取积分开始时间
        for i in range(self.num + 1):  # 循环遍历
            t = n[self.num].get('x' + str(i + 1))
            x = l_change(self.l_min, self.l_max, t)  # 积分区域变换
            temp = n[self.num].get('A' + str(i + 1)) * eval(self.str_hs) * (self.l_max - self.l_min) / 2 + temp
        end = time.perf_counter()
        print('-' * 50)
        print("高斯-勒让德求积公式运算结果为：")
        print("积分结果为：", temp)
        print("计算时间为：", end - start)  # 输出运算时间
        self.textBrowser.append("高斯-勒让德求积公式运算结果为：")
        self.textBrowser.append("积分结果为："+str(temp))
        self.textBrowser.append("计算时间为："+str(end - start))
    def scipy_jf(self):
        def f(x):
            return eval(self.str_hs)
        start = time.perf_counter()
        v, err = integrate.quad(f, self.l_min, self.l_max)
        end = time.perf_counter()
        print('-'*50)
        print("scipy库运算结果为：")
        print("积分结果为：", v)
        print("误差为：", err)
        print("运算时间为", end - start)
        self.textBrowser.append("scipy库运算结果为：")
        self.textBrowser.append("积分结果为："+str(v))
        self.textBrowser.append("误差为：" + str(err))
        self.textBrowser.append("计算时间为："+str(end - start))
    def bd(self):
        if self.f_1 ==0 and self.f_2 ==0 :
            QMessageBox.information(self, "Erro","您没有选择计算方法")
            return 0
        return 1
    def n_plot(self):
        if self.f==1:
            for i in range(self.gridlayout.count()):
                self.gridlayout.itemAt(i).widget().deleteLater()
        #定义MyFigure类的一个实例
        self.F = MyFigure(width=5, height=7, dpi=100)
        #在GUI的groupBox中创建一个布局，用于添加MyFigure类的实例（即图形）后其他部件。
        # 创建一个子图，用于绘制图形用，111代表子图的编号
        self.axes = self.F.fig.add_subplot(111)
        self.axes.clear()  # 每次绘制一个函数时清空绘图
        x = np.linspace(self.l_min, self.l_max, 10000)
        y_p = eval(self.str_hs)
        self.axes.plot(x,y_p,)
        self.axes.set_xlabel("$x$", fontsize=18)
        self.axes.set_ylabel("$f(x)$", fontsize=18)
        self.gridlayout.addWidget(self.F,0,1)
        self.f=1

if __name__ == "__main__":
    app = QApplication(sys.argv)
    n = MainDialogImgBW()
    n.show()
    sys.exit(app.exec_())