Created
May 17, 2021 14:19
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program to cauculate and show the graph of a 2 degree equation
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import math | |
import matplotlib.pyplot as plt | |
import numpy as np | |
import tkinter as tk | |
def gerar_grafico(a, b, c): | |
delta = b ** 2 - 4 * a * c | |
if delta < 0: | |
print("esta equação não possui raízes reais") | |
input("enter para sair") | |
if delta == 0: | |
raizunica = (-b) / (2 * a) | |
print("a raiz desta equação é", raizunica) | |
input("enter para sair") | |
if delta > 0: | |
d = math.sqrt(delta) | |
raiz1 = (-b + d) / (2 * a) | |
raiz2 = (-b - d) / (2 * a) | |
labelr['text'] = ('as raízes da equação são', raiz2, 'e', raiz1) | |
if a > 0: | |
x = np.linspace(raiz2, raiz1) | |
y = [] | |
for i in range(len(x)): | |
y.append(a * x[i] ** 2 + b * x[i] + c) | |
else: | |
if a < 0: | |
x = np.linspace(-raiz2, -raiz1) | |
y = [] | |
for i in range(len(x)): | |
y.append(a * x[i] ** 2 - b * x[i] + c) | |
plt.title("gráfico de {0}x^2 + {1}x + {2}".format(a, b, c)) | |
plt.xlabel("eixo x (abscissas)") | |
plt.ylabel("eixo y (ordenadas)") | |
plt.grid() | |
plt.plot(x, y) | |
plt.show() | |
root = tk.Tk() | |
canvas = tk.Canvas(root, height=500, width=500, bg='grey') | |
canvas.pack() | |
label = tk.Label(root, bg='grey', text='insira os valores equivalentes a uma equação de segundo grau (ax^2+bx+c)') | |
label.place(relx=0.1, rely=0) | |
labelr = tk.Label(root) | |
labelr.place(relx=0.05, rely=0.6) | |
entrya = tk.Entry(root, bg='white', bd=2) | |
entrya.place(relx=0.30, rely=0.15) | |
labela = tk.Label(root, text='valor de A', bg='white') | |
labela.place(relx=0.05, rely=0.15) | |
entryb = tk.Entry(root, bg='white', bd=2) | |
entryb.place(relx=0.30, rely=0.28) | |
labelb = tk.Label(root, text='valor de B', bg='white') | |
labelb.place(relx=0.05, rely=0.28) | |
entryc = tk.Entry(root, bg='white', bd=2) | |
entryc.place(relx=0.30, rely=0.4) | |
labelc = tk.Label(root, text='valor de C', bg='white') | |
labelc.place(relx=0.05, rely=0.4) | |
button = tk.Button(root, text='verificar valores', bg='#404040', fg='white', | |
command=lambda: gerar_grafico(int(entrya.get()), int(entryb.get()), int(entryc.get()))) | |
button.place(relx=0.05, rely=0.52) | |
root.mainloop() |
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