NumericalCalculation/x5/FunctionDisplay_X5.py

from time import sleep
from tkinter import *
import tkinter.font as tkFont
from tkinter import messagebox

import numpy as np
from matplotlib.figure import Figure
from matplotlib.backends.backend_tkagg import FigureCanvasTkAgg

import sympy
from numpy import arange
from sympy import symbols, lambdify

from functionUtil import FunctionUtil
import math
from PIL import ImageTk, Image
import sys

# 在画布中央绘制文本
def center_text(canvas, text, font):
    canvas_width = int(canvas.cget("width"))
    x = canvas_width // 2
    y = 200
    canvas.create_text(x, y, text=text, font=font, anchor="center")


class Graph(Canvas):
    """
    绘制函数图形
    """

    def __init__(self, master=None, **kwargs):
        super().__init__(master, **kwargs)
        self.width = int(self.cget('width'))
        self.height = int(self.cget('height'))
        self.origin = (self.width / 2, self.height / 2)
        self.config(bg="white")
        self.bili_x = 20
        self.bili_y = 20
        self.draw_axis()
        self.draw_scale()
        self.fig = FigureCanvasTkAgg()
        self.y_scale = 1.0


    def draw_axis(self):
        """
        绘制坐标轴
        """
        self.delete("all")
        self.create_line(0, self.origin[1], self.width, self.origin[1], fill='black', arrow=LAST)  # 一象限xy轴
        self.create_line(self.origin[0], 0, self.origin[0], self.height, fill='black', arrow=FIRST)

    def draw_scale(self):
        """
        绘制刻度值
        """
        for i in range(-math.ceil((self.origin[0] / self.bili_x)) + 1,
                       math.ceil((self.width - self.origin[0]) / self.bili_x)):
            j = i * self.bili_x
            if (i % 10 == 0):
                self.create_line(j + self.origin[0], self.origin[1], j + self.origin[0], self.origin[1] - 5,
                                 fill='black')
                self.create_text(j + self.origin[0], self.origin[1] + 10, text=i)
        for i in range(-math.ceil((self.height - self.origin[1]) / self.bili_y) + 1,
                       math.ceil((self.origin[1] / self.bili_y))):
            j = -(i * self.bili_y)
            if i == 0:
                continue
            elif i % 2 == 0:
                self.create_line(self.origin[0], j + self.origin[1], self.origin[0] + 5, j + self.origin[1],
                                 fill='black')
                self.create_text(self.origin[0] - 10, j + self.origin[1], text=i)

    def switch_quadrant(self, quadrant):
        """
        切换象限
        """
        if quadrant == 1:
            self.origin = (50, self.height - 50)
        else:
            self.origin = (self.width / 2, self.height / 2)
        self.draw_axis()
        self.draw_scale()


    def draw_graph_3d(self, func, draw_precision=0.1, count=1000, bili_x=20, bili_y=40, ):
        self.fig.get_tk_widget().destroy()
        self.delete("all")
        # 创建 sympy 符号
        x, y = symbols('x y')
        self.bili_x, self.bili_y = int(bili_x), int(bili_y)
        # 将表达式转换为可计算的函数
        expr = lambdify((x, y), func, modules=['numpy'])
        xmin, xmax = -math.ceil((self.origin[0] / self.bili_x)) + 1, math.ceil(
            (self.width - self.origin[0]) / self.bili_x)
        # 创建数据网格
        X = np.linspace(xmin, xmax, int(draw_precision * 100))
        Y = np.linspace(xmin, xmax, int(draw_precision * 100))
        X, Y = np.meshgrid(X, Y)
        Z = expr(X, Y)
        # 创建一个 Figure 对象
        fig = Figure(figsize=(7, 5.5), dpi=120)
        # 在 Figure 上创建一个 3D 子图
        ax = fig.add_subplot(111, projection='3d')
        ax.auto_scale_xyz(X, Y, Z)
        # 绘制三维图形
        ax.plot_surface(X, Y, Z, cmap='viridis')
        self.fig = FigureCanvasTkAgg(fig, master=self)
        self.fig.draw()
        self.fig.get_tk_widget().pack(fill=BOTH, ipadx=0, ipady=0, pady=0, padx=0, expand=True)




    def draw_graph_2d(self, func, draw_precision=0.1, count=1000, bili_x=1, bili_y=1, c='blue'):
        'xmin,xmax 自变量的取值范围； c 图像颜色'
        'x0,y0 原点坐标  w,h 横纵轴半长 draw_precision 步进'
        self.fig.get_tk_widget().destroy()
        self.bili_x, self.bili_y = int(bili_x), int(bili_y)
        self.draw_axis()
        self.draw_scale()
        w1, w2 = self.bili_x, self.bili_y  # w1,w2为自变量和函数值在横纵轴上的放大倍数
        xmin, xmax = -math.ceil((self.origin[0] / self.bili_x)) + 1, math.ceil(
            (self.width - self.origin[0]) / self.bili_x)
        co2 = []
        try:
            for x in arange(xmin, xmax, draw_precision):  # draw_precision----画图精度
                y = sympy.sympify(func, convert_xor=True).subs("x", x).evalf()
                coord = self.origin[0] + w1 * x, self.origin[1] - w2 * y, self.origin[0] + w1 * x + 1, self.origin[
                    1] - w2 * y + 1
                if abs(coord[1]) < self.height:  # 超过w,h就截断
                    co2.append((self.origin[0] + w1 * x, self.origin[1] - w2 * y))
            if count is None:
                length = len(co2)
            else:
                length = len(co2[:int(count)])
            for i in range(length):
                if (draw_precision >= 1):
                    self.create_line(co2, fill=c, width=1)
                if (i + 1 == len(co2)):
                    break
                if (abs(co2[i][1] - co2[i + 1][1]) > 100):
                    continue
                else:
                    self.create_line(co2[i], co2[i + 1], fill=c, width=1)
                sleep(0.01)
                self.update()
        except Exception as E:
            messagebox.showerror("错误", message=f"函数有误!\n{E}")


class ExpressionCanvas(Canvas):
    def __init__(self, master, *args, **kwargs):
        super().__init__(master, *args, **kwargs)
        self.node_width = 100
        self.node_height = 40
        self.x_spacing = 15
        self.y_spacing = 70
        self.level = {}

    def add_node(self, text, x, y, parent=None):
        node_width = len(text) * 15 + 20
        if node_width < 40:
            node_width = 50
        # 创建节点
        coords = [x - node_width / 2, y, x + node_width / 2, y + self.node_height]
        if coords[1] in self.level:
            max_x = max(self.level[coords[1]])
            if coords[0] <= max_x:
                x = max_x + node_width / 2 + self.x_spacing
            node_id = self.create_rectangle(x - node_width / 2, y, x + node_width / 2, y + self.node_height,
                                            fill="white")
            sleep(0.2)
            self.update()
        elif text == "x":
            x = self.coords(parent)[0] + node_width / 2
            node_id = self.create_rectangle(x - node_width / 2, y, x + node_width / 2, y + self.node_height,
                                            fill="white")
            sleep(0.2)
            self.update()
        else:
            node_id = self.create_rectangle(x - node_width / 2, y, x + node_width / 2, y + self.node_height,
                                            fill="white")
            sleep(0.2)
            self.update()
        coords = [x - node_width / 2, y, x + node_width / 2, y + self.node_height]
        if coords[1] in self.level:
            self.level[coords[1]].append(coords[2])
        else:
            self.level[coords[1]] = [coords[2]]
        text_id = self.create_text(x + 5, y + self.node_height // 2, text=text, anchor="center", font=("", 15))
        sleep(0.2)
        self.update()
        # 绘制父节点和当前节点的连线
        if parent:
            try:
                parent_coords = self.coords(parent)
                parent_x = parent_coords[0] + (parent_coords[2] - parent_coords[0]) // 2
                parent_y = parent_coords[1] + (parent_coords[3] - parent_coords[1]) // 2
                self.create_line(parent_x, parent_y + self.node_height // 2, x, y, fill="black")
                self.update()
            except Exception as E:
                pass
        return node_id

    def draw_expression(self, expression, x, y, parent=None, sibling_width=0):
        # 创建节点并绘制表达式文本
        node = self.add_node(str(expression), x, y, parent=parent)
        if expression.is_Atom:
            return node
        # 处理子表达式
        num_children = len(expression.args)
        total_width = num_children * self.node_width + (num_children - 1) * self.x_spacing
        start_x = x - total_width // 2
        for subexpr in expression.args:
            subnode = self.draw_expression(subexpr, start_x, y + self.y_spacing, parent=node, sibling_width=total_width)
            start_x += self.node_width + self.x_spacing
        return node


class FunctionDisplay(Canvas):
    def __init__(self, master, *args, **kwargs):
        super().__init__(master, *args, **kwargs)
        self.font_style = tkFont.Font(family="Lucida Grande", size=30)
        self.functions = FunctionUtil()
        self.width = int(self.cget("width"))
        self.height = int(self.cget("height"))
        self.background_img = ImageTk.PhotoImage(Image.open(sys.path[0]+"/./image/背景@3x.jpg").resize((self.width, self.height)))
        self.create_image(0, 0, image=self.background_img, anchor=NW)
        self.master = master
        self.init_window()
        self.load_user_function()

    def add_function(self):
        """
        用户添加函数
        """
        input_func = self.func_input.get()
        if input_func == "":
            messagebox.showwarning("注意", message="请输入函数！")
            return
        elif input_func.find("=") < 0:
            messagebox.showerror("注意", message="添加函数的格式为：\nSinPlusCos(x)=sin(x)+cos(x)")
            return
        left_var = input_func.split("=")[0]
        right_var = input_func.split("=")[1]
        try:
            function = self.functions.get_function_by_iter(right_var)
            sympy.sympify(function, evaluate=False)
        except Exception as E:
            messagebox.showerror("注意", message="函数解析错误，请仔细检查函数是否正确！")
            self.func_input.delete(0, END)
            return
        if self.functions.check_function_exit(left_var):
            result = messagebox.askokcancel(title='提示', message=f'函数{left_var}已经存在，是否需要覆盖！')
            if result:
                self.functions.add_function(left_var, right_var)
                messagebox.showinfo(title="提示", message="覆盖成功！")
                self.func_input.delete(0, END)
                self.load_user_function()
            return
        self.functions.add_function(left_var, right_var)
        messagebox.showinfo(title="提示", message="添加成功！")
        self.func_input.delete(0, END)
        self.load_user_function()

    def update_quadrant(self):
        """
        更换象限
        """
        self.axis_canvas.switch_quadrant(self.quadrant.get())
        self.print_function()

    def print_function(self):
        """
        输出
        """
        self.text_canvas.delete("all")
        self.text_canvas.level.clear()
        input_func = self.func_input.get()
        if input_func == "":
            messagebox.showwarning("注意", message="请输入函数！")
            return
        step = eval(self.x_step.get()) if not self.x_step.get() == "" else 0.1
        count = self.x_count.get() if not self.x_count.get() == "" else None
        x_scale = self.x_scale.get() if not self.x_scale.get() == "" else 20
        y_scale = self.y_scale.get() if not self.y_scale.get() == "" else 40
        if input_func.find("=") >= 0:
            input_func = input_func.split("=")[1]
        if self.functions.check_function_exit(input_func):
            func = self.functions.get_function_by_iter(input_func)
            self.axis_canvas.draw_graph_3d(func, step, count, x_scale, y_scale)
            self.text_canvas.draw_expression(sympy.sympify(func, evaluate=False, convert_xor=True),
                                             int(self.text_canvas.cget("width")) // 2, self.text_canvas.y_spacing)
        else:
            self.axis_canvas.draw_graph_3d(input_func, step, count, x_scale, y_scale)
            self.text_canvas.draw_expression(sympy.sympify(input_func, evaluate=False, convert_xor=True),
                                             int(self.text_canvas.cget("width")) // 2, self.text_canvas.y_spacing)

    def load_user_function(self):
        self.user_function_canvas.delete(ALL)
        self.user_function_canvas.create_text(20 + 90, 35, text='可识别基本函数', fill='red',
                                              font=("Purisa", 20, "bold"))
        num = 2
        self.user_function_canvas.create_text(0, 70, anchor="nw", text="函数名", font=("", 15))
        self.user_function_canvas.create_text(100, 70, anchor="nw", text="函数体", font=("", 15))
        for function, function_body in self.functions.data.items():
            self.user_function_canvas.create_text(0, 20 * num + 50, anchor="nw", text=function, font=("", 15))
            self.user_function_canvas.create_text(100, 20 * num + 50, anchor="nw", text=function_body, font=("", 15))
            num += 1
        self.user_function_canvas.update()
        self.user_function_canvas.configure(scrollregion=self.user_function_canvas.bbox("all"))

    def create_form(self):
        bottom_frame = Canvas(self, width=self.width, height=self.height * 0.3, highlightthickness=0)
        self.back_image = ImageTk.PhotoImage(Image.open(sys.path[0]+"/./image/下部背景@3x.png").resize((self.width, int(self.height * 0.3))))
        bottom_frame.create_image(0, 0, image=self.back_image, anchor=NW)
        label_width, entry_width, label_margin_left, margin_left, height, margin_top = 100, 215, 120 + 50, 120, 42, 20
        self.func_input = Entry(bottom_frame, font=self.font_style)
        self.func_input.place(x=margin_left, y=margin_top, anchor=NW, width=1000, height=height)
        self.add_func_image = ImageTk.PhotoImage(Image.open(sys.path[0]+"/./image/用户命名并新增基本函数@3x.png").resize((150, 42)))
        self.add_func_button = Button(bottom_frame, image=self.add_func_image, bd=0, relief="solid", bg="#f7f7f7",
                     highlightthickness=0, command=self.add_function)
        self.add_func_button.place(x=1140, y=20, anchor=NW)

        self.label_img = ImageTk.PhotoImage(Image.open(sys.path[0]+"/./image/文字背景@3x.png").resize((100, 42)))
        bottom_frame.create_image(label_margin_left, 112, image=self.label_img)
        bottom_frame.create_text(label_margin_left, 112, text="x步长", fill="white", font=("", 20))
        self.x_step = Entry(bottom_frame, font=self.font_style)
        self.x_step.place(x=margin_left + label_width, y=112 - 21, width=215, height=42)

        self.label1_img = ImageTk.PhotoImage(Image.open(sys.path[0]+"/./image/文字背景@3x.png").resize((100, 42)))
        bottom_frame.create_image(label_margin_left, 171, image=self.label1_img)
        bottom_frame.create_text(label_margin_left, 170, text="x个数", fill="white", font=("", 20))
        self.x_count = Entry(bottom_frame, font=self.font_style)
        self.x_count.place(x=margin_left + label_width, y=112 + 39, width=215, height=42)

        self.big_label_img = ImageTk.PhotoImage(Image.open(sys.path[0]+"/./image/文字背景2@3x.png").resize((label_width+5, height * 2 + margin_top)))
        bottom_frame.create_image(label_margin_left + label_width + entry_width + 108, 112 + 31, image=self.big_label_img)
        bottom_frame.create_text(label_margin_left + label_width + entry_width + 108, 112 + 31, text="坐标轴", fill="white", font=("", 25))
        self.quadrant = IntVar()
        self.quadrant.set(4)
        Radiobutton(bottom_frame, text="四象限", command=self.update_quadrant, font=("", 17),
                    bg="#b9b9f7",highlightthickness=0, highlightcolor="#aaaaf2",
                    value=4, variable=self.quadrant).place(x=label_margin_left + label_width * 2 + entry_width +58, y=90,
                                                           height=(height * 2 + margin_top) / 2, width=entry_width, anchor=NW)
        Radiobutton(bottom_frame, text="一象限", command=self.update_quadrant, font=("", 17), bg="#b9b9f7",
                    highlightthickness=0, highlightcolor="#aaaaf2",
                    value=1, variable=self.quadrant).place(x=label_margin_left + label_width * 2 + entry_width +58, y=90 + (height * 2 + margin_top) / 2,
                                                           height=(height * 2 + margin_top) / 2, width=entry_width, anchor=NW)



        self.x_scale = Entry(bottom_frame, font=self.font_style)
        self.x_scale.place(x=margin_left + label_width, y=112 - 21, width=215, height=42)
        label_x = label_margin_left + 840
        label_y = 112
        self.label_img1 = ImageTk.PhotoImage(Image.open(sys.path[0]+"/./image/文字背景@3x.png").resize((130, 42)))
        bottom_frame.create_image(label_x, label_y, image=self.label_img1)
        bottom_frame.create_text(label_x, label_y, text="x放大倍数", fill="white", font=("", 20))
        entry_x = margin_left + label_width + 855
        entry_y = 112 - 21
        self.x_scale.place(x=entry_x, y=entry_y, width=215, height=42)


        self.y_scale = Entry(bottom_frame, font=self.font_style)
        self.y_scale.place(x=margin_left + label_width, y=112 - 21, width=215, height=42)
        label_x = label_margin_left + 840
        label_y = 170
        bottom_frame.create_image(label_x, label_y, image=self.label_img1)
        bottom_frame.create_text(label_x, label_y, text="y放大倍数", fill="white", font=("", 20))
        entry_x = margin_left + label_width + 855
        entry_y = 170 - 21
        self.y_scale.place(x=entry_x, y=entry_y, width=215, height=42)

        self.print_function_image = ImageTk.PhotoImage(Image.open(sys.path[0]+"/./image/输出-点击@3x.png").resize((100, 42)))
        self.print_function_button = Button(bottom_frame, image=self.print_function_image, bd=0, relief="solid", bg="#f7f7f7",
                     highlightthickness=0, command=self.print_function)
        self.print_function_button.place(x=1350, y=95, anchor=NW)
        # Button(bottom_frame, text="输出", command=self.print_function, width=5) \
        #     .place(x=1350, y=95, anchor=NW)
        bottom_frame.place(x=0, y=self.height * 0.65 + 40, anchor=NW)

    def init_window(self):
        self.axis_canvas = Graph(self, width=self.width * 0.45, height=self.height * 0.65,highlightthickness=0)
        self.axis_canvas.place(x=0, y=0, anchor=NW)
        self.text_canvas = ExpressionCanvas(self, width=self.width * 0.35,
                                            height=self.height * 0.65, bg="white",highlightthickness=0)
        self.text_canvas.place(x=int(self.width * 0.45), y=0)
        user_function = Frame(self, width=self.width * 0.2, height=self.height * 0.65)
        user_function.place(x=int(self.width * 0.8), y=0)
        self.user_function_canvas = Canvas(user_function, width=self.width * 0.19,
                                           height=self.height * 0.65, bg="white",highlightthickness=0)
        y_scrollbar = Scrollbar(user_function, orient="vertical", command=self.user_function_canvas.yview)
        x_scrollbar = Scrollbar(user_function, orient="horizontal", command=self.user_function_canvas.xview)
        x_scrollbar.pack(side=BOTTOM, fill=BOTH)
        y_scrollbar.pack(side=RIGHT, fill=BOTH)
        self.user_function_canvas.pack(side=TOP, fill=BOTH)
        self.user_function_canvas.config(yscrollcommand=y_scrollbar.set, xscrollcommand=x_scrollbar.set)
        self.user_function_canvas.config(scrollregion=self.user_function_canvas.bbox("all"))
        self.create_form()


if __name__ == '__main__':
    root = Tk()
    screenwidth = root.winfo_screenwidth()
    screenheight = root.winfo_screenheight()
    root_attr = {
        "width": int(screenwidth * 1),
        "height": int(screenheight * 1),
    }
    alignstr = '%dx%d+%d+%d' % (root_attr['width'], root_attr['height'], (screenwidth - root_attr['width']) / 2,
                                (screenheight - root_attr['height']) / 2)
    root.geometry(alignstr)
    root.resizable(width=False, height=False)
    app = FunctionDisplay(root, width=root_attr["width"], height=root_attr["height"])
    app.place(x=0, y=0, anchor=NW)
    root.mainloop()