def open_frac(a_num,a_denom,b_num,b_denom,c_num,c_denom):
prgm.fraction_val[0]=a_num
prgm.fraction_val[1]=a_denom
prgm.fraction_val[2]=b_num
prgm.fraction_val[3]=b_denom
prgm.fraction_val[4]=c_num
prgm.fraction_val[5]=c_denom
if preferences.afficher_graphs==1:
prgm.plt.close()
for label in prgm.root.grid_slaves():
if int(label.grid_info()['column'])==6:
label.destroy()
Col7=prgm.Label(prgm.root,width=100)
Col7.grid(column=6,row=5)
if prgm.ValeurA_n.get()!=0 and prgm.ValeurA_d.get()>0 and prgm.ValeurB_d.get()>0 and prgm.ValeurC_d.get()>0:
prgm.latest='fraction'
sec_frac(a_num,a_denom,b_num,b_denom,c_num,c_denom)
else:
i=0
if prgm.ValeurA_n.get()==0:
L1=prgm.Label(prgm.root,text='Erreur\u00A0:\u00A0a\u2208\u2124*')
L1.grid(column=6,row=i,sticky='w')
i=i+1
if prgm.ValeurA_d.get()<=0 or prgm.ValeurB_d.get()<=0 or prgm.ValeurC_d.get()<=0:
L1=prgm.Label(prgm.root,text='Erreur\u00A0:\u00A0D\u00E9nominateur\u2208\u2115*')
L1.grid(column=6,row=i,sticky='w')
i=i+1
def main_frac():
if preferences.afficher_graphs==1:
prgm.plt.close()
for label in prgm.root.grid_slaves():
if int(label.grid_info()['column'])==6:
label.destroy()
Col7=prgm.Label(prgm.root,width=50)
Col7.grid(column=6,row=5)
if prgm.ValeurA_n.get()!=0 and prgm.ValeurA_d.get()>0 and prgm.ValeurB_d.get()>0 and prgm.ValeurC_d.get()>0:
prgm.latest='fraction'
prgm.ValeurA_n.set(prgm.ValeurA_n.get())
prgm.ValeurA_d.set(prgm.ValeurA_d.get())
prgm.ValeurB_n.set(prgm.ValeurB_n.get())
prgm.ValeurB_d.set(prgm.ValeurB_d.get())
prgm.ValeurC_n.set(prgm.ValeurC_n.get())
prgm.ValeurC_d.set(prgm.ValeurC_d.get())
sec_frac(prgm.ValeurA_n.get(),prgm.ValeurA_d.get(),prgm.ValeurB_n.get(),prgm.ValeurB_d.get(),prgm.ValeurC_n.get(),prgm.ValeurC_d.get())
else:
i=0
if prgm.ValeurA_n.get()==0:
L1=prgm.Label(prgm.root,text='Erreur\u00A0:\u00A0a\u2208\u2124*')
L1.grid(column=6,row=i,sticky='w')
i=i+1
if prgm.ValeurA_d.get()<=0 or prgm.ValeurB_d.get()<=0 or prgm.ValeurC_d.get()<=0:
L1=prgm.Label(prgm.root,text='Erreur\u00A0:\u00A0D\u00E9nominateur\u2208\u2115*')
L1.grid(column=6,row=i,sticky='w')
i=i+1
def abt_maj():
try:
download()
prgm.maj_root = prgm.Tk()
if 'DejaVu Sans' in list(prgm.font.families()):
police = prgm.font.Font(prgm.maj_root,
family='DejaVu Sans',
size=10)
prgm.maj_root.option_add('*Font', police)
import version
if version.version > prgm.version:
url = 'https://raw.githubusercontent.com/rfoxinter/Python/master/EquationsSecondDegre/maj.py'
urllib.request.urlretrieve(url, 'maj.py')
prgm.Label(prgm.maj_root,
text='Une mise \u00E0 jour est disponible.',
width=50).grid(column=0, row=0)
bouton_maj = prgm.Button(
prgm.maj_root,
text='Mettre \u00E0 jour l\u2019application',
command=__init__.mise_a_jour)
bouton_maj.grid(column=0, row=2)
bouton_fermer = prgm.Button(prgm.maj_root,
text='Ne pas mettre à jour',
command=prgm.maj_root.destroy)
bouton_fermer.grid(column=0, row=3)
else:
prgm.Label(prgm.maj_root,
text='L\u2019application est \u00E0 jour.',
width=50).grid(column=0, row=0)
bouton_fermer = prgm.Button(prgm.maj_root,
text='Fermer',
command=prgm.maj_root.destroy)
bouton_fermer.grid(column=0, row=2)
prgm.maj_root.title('Mise \u00E0 jour')
prgm.maj_root.resizable(width=False, height=False)
if prgm.os.name == 'nt':
prgm.maj_root.iconbitmap('python.ico')
prgm.maj_root.mainloop()
except:
prgm.maj_root = prgm.Tk()
if 'DejaVu Sans' in list(prgm.font.families()):
police = prgm.font.Font(prgm.maj_root,
family='DejaVu Sans',
size=10)
prgm.maj_root.option_add('*Font', police)
prgm.Label(prgm.maj_root,
text='Impossible de v\u00E9rifier les mises \u00E0 jour.',
width=50).grid(column=0, row=0)
bouton_fermer = prgm.Button(prgm.maj_root,
text='Fermer',
command=prgm.maj_root.destroy)
bouton_fermer.grid(column=0, row=2)
prgm.maj_root.title('Mise \u00E0 jour')
prgm.maj_root.resizable(width=False, height=False)
if prgm.os.name == 'nt':
prgm.maj_root.iconbitmap('python.ico')
prgm.maj_root.mainloop()
def main():
if preferences.afficher_graphs == 1:
prgm.plt.close()
for label in prgm.root.grid_slaves():
if int(label.grid_info()['column']) == 6:
label.destroy()
Col7 = prgm.Label(prgm.root, width=100)
Col7.grid(column=6, row=5)
L1 = prgm.Label(
prgm.root,
text='Une erreur est survenue lors de l\u2019ouverture du fichier')
L1.grid(column=6, row=0, sticky='w')
def main(a_num,a_denom,b_num,b_denom,delta_num,delta_denom):
x1_num_int=int(-b_num*(delta_denom**0.5)*a_denom)
x1_num_rt_int=int(+b_denom*a_denom)
x1_num_rt=int(delta_num)
x1_denom=int(b_denom*2*a_num*(delta_denom**0.5))
x1_num_int_div=x1_num_int
if x1_num_int==0:
x1_num_int_div=x1_denom
div_x1=2
while div_x1<=abs(x1_num_int_div) and div_x1<=abs(x1_denom) and (div_x1<=abs(x1_num_rt_int) or div_x1**2<=x1_num_rt):
if x1_num_int%div_x1==0 and x1_denom%div_x1==0 and (x1_num_rt_int%div_x1==0 or x1_num_rt%div_x1**2==0):
x1_num_int=x1_num_int//div_x1
x1_denom=x1_denom//div_x1
if x1_num_rt%div_x1**2==0:
x1_num_rt=x1_num_rt//div_x1**2
else:
x1_num_rt_int=x1_num_rt_int//div_x1
x1_num_int_div=x1_num_int_div//div_x1
else:
div_x1=div_x1+1
x1_num_1=str(x1_num_int)
x1_num_2=''
x1_denom_str=str(x1_denom)
if x1_num_rt_int==1:
x1_num_2='+\u221A('+str(x1_num_rt)+')'
elif x1_num_rt_int==-1:
x1_num_2='-\u221A('+str(x1_num_rt)+')'
elif x1_num_rt_int<0:
x1_num_2=str(x1_num_rt_int)+'\u221A('+str(x1_num_rt)+')'
else:
x1_num_2='+'+str(x1_num_rt_int)+'\u221A('+str(x1_num_rt)+')'
if x1_num_int==0:
if x1_denom==1:
L4=prgm.Label(prgm.root,text='x\u2082='+x1_num_2.replace('+','')+'='+str(((-b_num*a_denom*(delta_denom**0.5))+(a_denom*b_denom*(delta_num**0.5)))/(2*a_num*b_denom*(delta_denom**0.5))).replace('.',','))
L4.grid(column=6,row=4,sticky='w')
prgm.rep[6]=L4.cget('text')
else:
L4=prgm.Label(prgm.root,text='x\u2082=('+x1_num_2.replace('+','')+')/('+x1_denom_str+')='+str(((-b_num*a_denom*(delta_denom**0.5))+(a_denom*b_denom*(delta_num**0.5)))/(2*a_num*b_denom*(delta_denom**0.5))).replace('.',','))
L4.grid(column=6,row=4,sticky='w')
prgm.rep[6]=L4.cget('text')
else:
if x1_denom==1:
L4=prgm.Label(prgm.root,text='x\u2082='+x1_num_1+x1_num_2+'='+str(((-b_num*a_denom*(delta_denom**0.5))+(a_denom*b_denom*(delta_num**0.5)))/(2*a_num*b_denom*(delta_denom**0.5))).replace('.',','))
L4.grid(column=6,row=4,sticky='w')
prgm.rep[6]=L4.cget('text')
else:
L4=prgm.Label(prgm.root,text='x\u2082=('+x1_num_1+x1_num_2+')/('+x1_denom_str+')='+str(((-b_num*a_denom*(delta_denom**0.5))+(a_denom*b_denom*(delta_num**0.5)))/(2*a_num*b_denom*(delta_denom**0.5))).replace('.',','))
L4.grid(column=6,row=4,sticky='w')
prgm.rep[6]=L4.cget('text')
def main(extension):
root = Toplevel()
if 'DejaVu Sans' in list(prgm.font.families()):
police = prgm.font.Font(root, family='DejaVu Sans', size=10)
root.option_add('*Font', police)
qualite = prgm.IntVar(root)
qualite.set(100)
bar_qualite = Scale(root,
from_=100,
to=500,
orient='horizontal',
var=qualite,
tickinterval=50,
label='Résolution',
length=325,
resolution=5)
bar_qualite.grid(column=0, row=0)
prgm.Label(root, text='', width=50).grid(column=0, row=1)
bouton_fermer = prgm.Button(root, text='Valider', command=root.destroy)
bouton_fermer.grid(column=0, row=2)
root.title('Exporter en png')
root.resizable(width=False, height=False)
if prgm.os.name == 'nt':
root.iconbitmap('python.ico')
prgm.root.wait_window(root)
return qualite.get()
def main(a_num,a_denom,b_num,b_denom,c_num,c_denom,alpha_num,alpha_denom,beta_num,beta_denom,extension,path):
if extension!='':
prgm.plt.figure(300)
if preferences.afficher_graphs==1 or extension!='':
prgm.plt.rcParams['pdf.fonttype']=42
prgm.plt.rcParams['font.family']='DejaVu Sans'
prgm.plt.rcParams['font.size']='10'
L4=prgm.Label(prgm.root,text='L\u2019\u00E9quation n\u2019admet pas de racine dans \u211D.')
prgm.rep[5]=L4.cget('text')
L4.grid(column=6,row=3,sticky='w')
if preferences.afficher_graphs==1:
pltxmin=alpha_num/alpha_denom-10
pltxmax=alpha_num/alpha_denom+10
ymax=0
if (a_num/a_denom)*(pltxmin)**2+(b_num/b_denom)*(pltxmin)+(c_num/c_denom)>(a_num/a_denom)*(pltxmax)**2+(b_num/b_denom)*(pltxmax)+(c_num/c_denom):
if (a_num/a_denom)*(pltxmin)**2+(b_num/b_denom)*(pltxmin)+(c_num/c_denom)>0:
ymax=(a_num/a_denom)*(pltxmin)**2+(b_num/b_denom)*(pltxmin)+(c_num/c_denom)
else:
ymax=(a_num/a_denom)*(pltxmax)**2+(b_num/b_denom)*(pltxmax)+(c_num/c_denom)
else:
if (a_num/a_denom)*(pltxmax)**2+(b_num/b_denom)*(pltxmax)+(c_num/c_denom)>0:
ymax=(a_num/a_denom)*(pltxmax)**2+(b_num/b_denom)*(pltxmax)+(c_num/c_denom)
else:
ymax=(a_num/a_denom)*(pltxmin)**2+(b_num/b_denom)*(pltxmin)+(c_num/c_denom)
x=prgm.linspace(pltxmin,pltxmax,1000)
y=(a_num/a_denom)*x**2+(b_num/b_denom)*x+(c_num/c_denom)
prgm.plt.plot(x,y,c='blue')
prgm.plt.scatter(alpha_num/alpha_denom,beta_num/beta_denom,c='red',marker='x',label='(\u03B1;\u03B2)')
prgm.plt.xlabel('x')
prgm.plt.ylabel('y=f(x)')
pltymin=0
pltymax=0
if beta_num/beta_denom-ymax/100<ymax:
pltymin=beta_num/beta_denom-ymax/100
pltymax=ymax
else:
pltymin=ymax
pltymax=beta_num/beta_denom-ymax/100
prgm.plt.axis([pltxmin,pltxmax,pltymin,pltymax])
prgm.plt.axhline(y=0,c='black')
prgm.plt.axvline(x=0,c='black')
prgm.plt.legend()
prgm.plt.title(fraction_equation.main())
if extension=='pdf':
from matplotlib.backends.backend_pdf import PdfPages
prgm.plt.savefig(path)
prgm.plt.show(block=False)
prgm.plt.close(300)
elif extension!='':
if extension=='png':
from images import png
prgm.plt.rcParams['savefig.dpi'],prgm.plt.rcParams['savefig.transparent']=png.main(extension)
elif extension=='jpg':
from images import jpg
prgm.plt.rcParams['savefig.dpi']=jpg.main(extension)
prgm.plt.savefig(path)
prgm.plt.show(block=False)
prgm.plt.close(300)
else:
prgm.plt.show()
def main_ent():
if preferences.afficher_graphs == 1:
prgm.plt.close()
for label in prgm.root.grid_slaves():
if int(label.grid_info()['column']) == 6:
label.destroy()
Col7 = prgm.Label(prgm.root, width=50)
Col7.grid(column=6, row=5)
if prgm.ValeurA.get() != 0:
prgm.latest = 'entier'
prgm.ValeurA.set(prgm.ValeurA.get())
prgm.ValeurB.set(prgm.ValeurB.get())
prgm.ValeurC.set(prgm.ValeurC.get())
sec_ent(prgm.ValeurA.get(), prgm.ValeurB.get(), prgm.ValeurC.get())
else:
L1 = prgm.Label(prgm.root, text='Erreur\u00A0:\u00A0a\u2208\u2124*')
L1.grid(column=6, row=0, sticky='w')
def open_ent(a, b, c):
if preferences.afficher_graphs == 1:
prgm.plt.close()
for label in prgm.root.grid_slaves():
if int(label.grid_info()['column']) == 6:
label.destroy()
Col7 = prgm.Label(prgm.root, width=100)
Col7.grid(column=6, row=5)
if prgm.ValeurA.get() != 0:
prgm.latest = 'entier'
prgm.entier_val[0] = a
prgm.entier_val[1] = b
prgm.entier_val[2] = c
sec_ent(a, b, c)
else:
L1 = prgm.Label(prgm.root, text='Erreur\u00A0:\u00A0a\u2208\u2124*')
L1.grid(column=6, row=0, sticky='w')
def close(event=None):
try:
prgm.about_root.destroy()
except:
pass
try:
prgm.maj_root.destroy()
except:
pass
try:
prgm.redemarrage.destroy()
except:
pass
if preferences.afficher_graphs == 1:
try:
prgm.plt.close()
except:
pass
prgm.root.destroy()
if preferences.ver_maj == 1:
download()
import version
root = prgm.Tk()
if 'DejaVu Sans' in list(prgm.font.families()):
police = prgm.font.Font(root, family='DejaVu Sans', size=10)
root.option_add('*Font', police)
if version.version > prgm.version:
url = 'https://raw.githubusercontent.com/rfoxinter/Python/master/EquationsSecondDegre/maj.py'
urllib.request.urlretrieve(url, 'maj.py')
prgm.Label(root,
text='Une mise \u00E0 jour est disponible.',
width=50).grid(column=0, row=0)
bouton_maj = prgm.Button(
root,
text='Mettre \u00E0 jour l\u2019application',
command=__init__.mise_a_jour_quitter)
bouton_maj.grid(column=0, row=1)
bouton_fermer = prgm.Button(
root,
text='Fermer sans mettre \u00E0 jour l\u2019application',
command=root.destroy)
bouton_fermer.grid(column=0, row=2)
root.title('Mise \u00E0 jour')
root.resizable(width=False, height=False)
if prgm.os.name == 'nt':
import ctypes
ctypes.windll.shell32.SetCurrentProcessExplicitAppUserModelID(
'equations')
img = prgm.PhotoImage(file='python.png')
root.tk.call('wm', 'iconphoto', root._w, img)
root.mainloop()
else:
root.destroy()
def main():
prgm.about_root = prgm.Tk()
if 'DejaVu Sans' in list(prgm.font.families()):
police = prgm.font.Font(prgm.about_root, family='DejaVu Sans', size=10)
prgm.about_root.option_add('*Font', police)
prgm.Label(prgm.about_root,
text='Version actuelle\u00A0:\u00A0' + str(prgm.version)).grid(
column=0, row=0, sticky='w')
prgm.Label(
prgm.about_root,
text='-\u00A0Am\u00E9lioration de l\u2019affichage des r\u00E9sultats '
).grid(column=0, row=1, sticky='w')
prgm.Label(prgm.about_root, width=50).grid(column=0, row=9)
bouton_fermer = prgm.Button(prgm.about_root,
text="Fermer",
command=prgm.about_root.destroy)
bouton_fermer.grid(column=0, row=10)
prgm.about_root.title("\u00C0 propos")
prgm.about_root.resizable(width=False, height=False)
if prgm.os.name == 'nt':
prgm.about_root.iconbitmap('a_propos.ico')
prgm.about_root.mainloop()
def main(a_num, a_denom, b_num, b_denom, delta_num, delta_denom):
x1_num_1 = ''
x1_num_2 = ''
x1_denom = ''
x1_num_int_1 = int(-b_num * a_denom)
x1_num_rt_1 = int(delta_denom)
x1_num_int_2 = int(-b_denom * a_denom)
x1_num_rt_2 = int(delta_num)
x1_denom_int = int(b_denom * 2 * a_num)
x1_denom_rt = int(delta_denom)
x1_num_int_1_div = x1_num_int_1
x1_num_rt_1_div = x1_num_rt_1
if x1_num_rt_1 == 0:
x1_num_int_1 = x1_denom_int
x1_num_rt_1 = x1_denom_int
div_x1 = 2
while (div_x1 <= abs(x1_num_int_2) or div_x1**2 <= x1_num_rt_2) and (
div_x1 <= abs(x1_denom_int)
or div_x1**2 <= x1_denom_rt) and (div_x1 <= abs(x1_num_int_1_div)
or div_x1**2 <= x1_num_rt_1):
if (x1_num_int_2 % div_x1 == 0 or x1_num_rt_2 % div_x1**2 == 0) and (
x1_denom_int % div_x1 == 0 or x1_denom_rt % div_x1**2
== 0) and (x1_num_int_1 % div_x1 == 0
or x1_num_rt_1 % div_x1**2 == 0):
if x1_num_rt_2 % div_x1**2 == 0:
x1_num_rt_2 = x1_num_rt_2 // div_x1**2
else:
x1_num_int_2 = x1_num_int_2 // div_x1
if x1_denom_rt % div_x1**2 == 0:
x1_denom_rt = x1_denom_rt // div_x1**2
else:
x1_denom_int = x1_denom_int // div_x1
if x1_num_rt_1 % div_x1**2 == 0:
x1_num_rt_1 = x1_num_rt_1 // div_x1**2
else:
x1_num_int_1 = x1_num_int_1 // div_x1
x1_num_int_1_div = x1_num_int_1_div // div_x1
x1_num_rt_1_div = x1_num_rt_1_div // div_x1
else:
div_x1 = div_x1 + 1
if x1_denom_int == 1:
x1_denom = '\u221A(' + str(x1_denom_rt) + ')'
elif x1_denom_int == -1:
x1_denom = '-\u221A(' + str(x1_denom_rt) + ')'
else:
x1_denom = str(x1_denom_int) + '\u221A(' + str(x1_denom_rt) + ')'
if x1_num_int_1 == 1:
x1_num_1 = '+\u221A(' + str(x1_num_rt_1) + ')'
elif x1_num_int_1 == -1:
x1_num_1 = '-\u221A(' + str(x1_num_rt_1) + ')'
else:
x1_num_1 = str(x1_num_int_1) + '\u221A(' + str(x1_num_rt_1) + ')'
if x1_num_int_2 == 1:
x1_num_2 = '\u221A(' + str(x1_num_rt_2) + ')'
elif x1_num_int_2 == -1:
x1_num_2 = '-\u221A(' + str(x1_num_rt_2) + ')'
elif x1_num_int_2 < 0:
x1_num_2 = str(x1_num_int_2) + '\u221A(' + str(x1_num_rt_2) + ')'
else:
x1_num_2 = '+' + str(x1_num_int_2) + '\u221A(' + str(x1_num_rt_2) + ')'
if x1_num_int_1 == 0:
L4 = prgm.Label(prgm.root,
text='x\u2081=(' + x1_num_2.replace('+', '') + ')/(' +
x1_denom + ')' + egalite.main(
((-b_num * a_denom * delta_denom**0.5) -
(a_denom * b_denom * delta_num**0.5)) /
(2 * a_num * b_denom * delta_denom**0.5)) + str(
round(((-b_num * a_denom * delta_denom**0.5) -
(a_denom * b_denom * delta_num**0.5)) /
(2 * a_num * b_denom * delta_denom**0.5),
10)).replace('.', ','))
L4.grid(column=6, row=3, sticky='w')
prgm.rep[5] = L4.cget('text')
else:
L4 = prgm.Label(prgm.root,
text='x\u2081=(' + x1_num_1 + x1_num_2 + ')/(' +
x1_denom + ')' + egalite.main(
((-b_num * a_denom * delta_denom**0.5) -
(a_denom * b_denom * delta_num**0.5)) /
(2 * a_num * b_denom * delta_denom**0.5)) + str(
round(((-b_num * a_denom * delta_denom**0.5) -
(a_denom * b_denom * delta_num**0.5)) /
(2 * a_num * b_denom * delta_denom**0.5),
10)).replace('.', ','))
L4.grid(column=6, row=3, sticky='w')
prgm.rep[5] = L4.cget('text')
def sec_frac(a_num,a_denom,b_num,b_denom,c_num,c_denom):
prgm.rep[6]=''
prgm.fraction_val[0]=a_num
prgm.fraction_val[1]=a_denom
prgm.fraction_val[2]=b_num
prgm.fraction_val[3]=b_denom
prgm.fraction_val[4]=c_num
prgm.fraction_val[5]=c_denom
delta_num=int(b_num**2*a_denom*c_denom-4*a_num*c_num*b_denom**2)
delta_denom=int(a_denom*b_denom**2*c_denom)
if delta_num>0 and delta_denom<0:
delta_num=-delta_num
delta_denom=-delta_denom
alpha_num=int(-b_num*a_denom)
alpha_denom=int(2*a_num*b_denom)
beta_num=int(-delta_num*a_denom)
beta_denom=int(4*a_num*delta_denom)
if delta_num%delta_denom==0:
delta_num=delta_num//delta_denom
delta_denom=1
L1=prgm.Label(prgm.root,text='\u0394='+str(delta_num))
L1.grid(column=6,row=0,sticky='w')
prgm.rep[2]=L1.cget('text')
else:
div_delta=2
while div_delta<=abs(delta_num) and div_delta<=abs(delta_denom):
if delta_num%div_delta==0 and delta_denom%div_delta==0:
delta_num=delta_num//div_delta
delta_denom=delta_denom//div_delta
else:
div_delta=div_delta+1
if delta_num<0 and delta_denom<0:
L1=prgm.Label(prgm.root,text='\u0394='+str(int(-delta_num))+')/('+str(int(-delta_denom))+')'+egalite.main(delta_num/delta_denom)+str(round(delta_num/delta_denom,10)).replace('.',','))
L1.grid(column=6,row=0,sticky='w')
prgm.rep[2]=L1.cget('text')
else:
L1=prgm.Label(prgm.root,text='\u0394=('+str(int(delta_num))+')/('+str(int(delta_denom))+')'+egalite.main(delta_num/delta_denom)+str(round(delta_num/delta_denom,10)).replace('.',','))
L1.grid(column=6,row=0,sticky='w')
prgm.rep[2]=L1.cget('text')
if alpha_num%alpha_denom==0:
alpha=alpha_num//alpha_denom
L2=prgm.Label(prgm.root,text='\u03B1='+str(alpha))
L2.grid(column=6,row=1,sticky='w')
prgm.rep[3]=L2.cget('text')
else:
div_alpha=2
while div_alpha<=abs(alpha_num) and div_alpha<=abs(alpha_denom):
if alpha_num%div_alpha==0 and alpha_denom%div_alpha==0:
alpha_num=alpha_num//div_alpha
alpha_denom=alpha_denom//div_alpha
else:
div_alpha=div_alpha+1
if alpha_num<0 and alpha_denom<0:
L2=prgm.Label(prgm.root,text='\u03B1=('+str(int(-alpha_num))+')/('+str(int(-alpha_denom))+')'+egalite.main(alpha_num/alpha_denom)+str(round(alpha_num/alpha_denom,10)).replace('.',','))
L2.grid(column=6,row=1,sticky='w')
prgm.rep[3]=L2.cget('text')
else:
L2=prgm.Label(prgm.root,text='\u03B1=('+str(int(alpha_num))+')/('+str(int(alpha_denom))+')'+egalite.main(alpha_num/alpha_denom)+str(round(alpha_num/alpha_denom,10)).replace('.',','))
L2.grid(column=6,row=1,sticky='w')
prgm.rep[3]=L2.cget('text')
if beta_num%beta_denom==0:
beta=beta_num//beta_denom
L3=prgm.Label(prgm.root,text='\u03B2='+str(beta))
L3.grid(column=6,row=2,sticky='w')
prgm.rep[4]=L3.cget('text')
else:
div_beta=2
while div_beta<=abs(beta_num) and div_beta<=abs(beta_denom):
if beta_num%div_beta==0 and beta_denom%div_beta==0:
beta_num=beta_num//div_beta
beta_denom=beta_denom//div_beta
else:
div_beta=div_beta+1
if beta_num<0 and beta_denom<0:
L3=prgm.Label(prgm.root,text='\u03B2=('+str(int(-beta_num))+')/('+str(int(-beta_denom))+')'+egalite.main(beta_num/beta_denom)+str(round(beta_num/beta_denom,10)).replace('.',','))
L3.grid(column=6,row=2,sticky='w')
prgm.rep[4]=L3.cget('text')
else:
L3=prgm.Label(prgm.root,text='\u03B2=('+str(int(beta_num))+')/('+str(int(beta_denom))+')'+egalite.main(beta_num/beta_denom)+str(round(beta_num/beta_denom,10)).replace('.',','))
L3.grid(column=6,row=2,sticky='w')
prgm.rep[4]=L3.cget('text')
if delta_num<0:
fraction_pas_racine.main(a_num,a_denom,b_num,b_denom,c_num,c_denom,alpha_num,alpha_denom,beta_num,beta_denom,'','')
elif delta_num==0:
fraction_x0.main(a_num,a_denom,b_num,b_denom,c_num,c_denom,alpha_num,alpha_denom,beta_num,beta_denom,'','')
else:
fraction_x1.x1_frac(a_num,a_denom,b_num,b_denom,delta_num,delta_denom)
fraction_x2.x2_frac(a_num,a_denom,b_num,b_denom,delta_num,delta_denom)
if preferences.afficher_graphs==1:
fraction_deux_racines_plt.main(a_num,a_denom,b_num,b_denom,c_num,c_denom,alpha_num,alpha_denom,beta_num,beta_denom,delta_num,delta_denom,'','')
def main(a_num, a_denom, b_num, b_denom, delta_num, delta_denom):
x2_num_1 = ''
x2_num_2 = ''
x2_denom = ''
x2_num_int_1 = int(-b_num * a_denom)
x2_num_rt_1 = int(delta_denom)
x2_num_int_2 = int(b_denom * a_denom)
x2_num_rt_2 = int(delta_num)
x2_denom_int = int(b_denom * 2 * a_num)
x2_denom_rt = int(delta_denom)
x2_num_int_1_div = x2_num_int_1
x2_num_rt_1_div = x2_num_rt_1
if x2_num_rt_1 == 0:
x2_num_int_1 = x2_denom_int
x2_num_rt_1 = x2_denom_int
div_x2 = 2
while (div_x2 <= abs(x2_num_int_2) or div_x2**2 <= x2_num_rt_2) and (
div_x2 <= abs(x2_denom_int)
or div_x2**2 <= x2_denom_rt) and (div_x2 <= abs(x2_num_int_1_div)
or div_x2**2 <= x2_num_rt_1):
if (x2_num_int_2 % div_x2 == 0 or x2_num_rt_2 % div_x2**2 == 0) and (
x2_denom_int % div_x2 == 0 or x2_denom_rt % div_x2**2
== 0) and (x2_num_int_1 % div_x2 == 0
or x2_num_rt_1 % div_x2**2 == 0):
if x2_num_rt_2 % div_x2**2 == 0:
x2_num_rt_2 = x2_num_rt_2 // div_x2**2
else:
x2_num_int_2 = x2_num_int_2 // div_x2
if x2_denom_rt % div_x2**2 == 0:
x2_denom_rt = x2_denom_rt // div_x2**2
else:
x2_denom_int = x2_denom_int // div_x2
if x2_num_rt_1 % div_x2**2 == 0:
x2_num_rt_1 = x2_num_rt_1 // div_x2**2
else:
x2_num_int_1 = x2_num_int_1 // div_x2
x2_num_int_1_div = x2_num_int_1_div // div_x2
x2_num_rt_1_div = x2_num_rt_1_div // div_x2
else:
div_x2 = div_x2 + 1
if x2_denom_int == 1:
x2_denom = '\u221A(' + str(x2_denom_rt) + ')'
elif x2_denom_int == -1:
x2_denom = '-\u221A(' + str(x2_denom_rt) + ')'
else:
x2_denom = str(x2_denom_int) + '\u221A(' + str(x2_denom_rt) + ')'
if x2_num_int_1 == 1:
x2_num_1 = '+\u221A(' + str(x2_num_rt_1) + ')'
elif x2_num_int_1 == -1:
x2_num_1 = '-\u221A(' + str(x2_num_rt_1) + ')'
else:
x2_num_1 = str(x2_num_int_1) + '\u221A(' + str(x2_num_rt_1) + ')'
if x2_num_int_2 == 1:
x2_num_2 = '+\u221A(' + str(x2_num_rt_2) + ')'
elif x2_num_int_2 == -1:
x2_num_2 = '-\u221A(' + str(x2_num_rt_2) + ')'
elif x2_num_int_2 < 0:
x2_num_2 = str(x2_num_int_2) + '\u221A(' + str(x2_num_rt_2) + ')'
else:
x2_num_2 = '+' + str(x2_num_int_2) + '\u221A(' + str(x2_num_rt_2) + ')'
if x2_num_int_1 == 0:
L4 = prgm.Label(prgm.root,
text='x\u2082=(' + x2_num_2.replace('+', '') + ')/(' +
x2_denom + ')=' + str(
((-b_num * a_denom * (delta_denom**0.5)) +
(a_denom * b_denom * (delta_num**0.5))) /
(2 * a_num * b_denom *
(delta_denom**0.5))).replace('.', ','))
L4.grid(column=6, row=4, sticky='w')
prgm.rep[6] = L4.cget('text')
else:
L4 = prgm.Label(
prgm.root,
text='x\u2082=(' + x2_num_1 + x2_num_2 + ')/(' + x2_denom + ')=' +
str(((-b_num * a_denom * (delta_denom**0.5)) +
(a_denom * b_denom * (delta_num**0.5))) /
(2 * a_num * b_denom * (delta_denom**0.5))).replace('.', ','))
L4.grid(column=6, row=4, sticky='w')
prgm.rep[6] = L4.cget('text')
def main(a,b,delta):
x1_num=-b-delta**0.5
x1_denom=2*a
if delta**0.5==int(delta**0.5):
if x1_num%x1_denom==0:
x1=x1_num//x1_denom
L4=prgm.Label(prgm.root,text='x\u2081='+str(int(x1)))
L4.grid(column=6,row=3,sticky='w')
prgm.rep[5]=L4.cget('text')
else:
div_x1=2
while div_x1<=abs(x1_num) and div_x1<=abs(x1_denom):
if x1_num%div_x1==0 and x1_denom%div_x1==0:
x1_num=x1_num//div_x1
x1_denom=x1_denom//div_x1
else:
div_x1=div_x1+1
if x1_num<0 and x1_denom<0:
L4=prgm.Label(prgm.root,text='x\u2081=('+str(int(-x1_num))+')/('+str(int(-x1_denom))+')'+egalite.main(x1_num/x1_denom)+str(round(x1_num/x1_denom,10)).replace('.',','))
L4.grid(column=6,row=3,sticky='w')
prgm.rep[5]=L4.cget('text')
else:
L4=prgm.Label(prgm.root,text='x\u2081=('+str(int(x1_num))+')/('+str(int(x1_denom))+')'+egalite.main(x1_num/x1_denom)+str(round(x1_num/x1_denom,10)).replace('.',','))
L4.grid(column=6,row=3,sticky='w')
prgm.rep[5]=L4.cget('text')
else:
x1_num_int=-b
x1_num_rt=delta
x1_denom_c=2*a
x1_num_int_div=x1_num_int
if x1_num_int_div==0:
x1_num_int_div=x1_denom_c
div_x1=2
while div_x1<=abs(x1_num_int_div) and div_x1<=abs(x1_denom_c):
if x1_num_int%div_x1==0 and x1_denom_c%div_x1==0 and x1_num_rt%div_x1**2==0:
x1_num_int=x1_num_int//div_x1
x1_denom_c=x1_denom_c//div_x1
x1_num_rt=x1_num_rt//div_x1**2
x1_num_int_div=x1_num_int_div//div_x1
else:
div_x1=div_x1+1
if x1_num_int==0:
if abs(x1_denom_c)==1:
L4=prgm.Label(prgm.root,text='x\u2081=\u221A('+str(x1_num_rt)+')'+egalite.main(x1_num/x1_denom)+str(round(x1_num/x1_denom,10)).replace('.',','))
L4.grid(column=6,row=3,sticky='w')
prgm.rep[5]=L4.cget('text')
else:
if x1_denom_c<0:
L4=prgm.Label(prgm.root,text='x\u2081=\u221A('+str(x1_num_rt)+')'+egalite.main(x1_num/x1_denom)+str(round(x1_num/x1_denom,10)).replace('.',','))
L4.grid(column=6,row=3,sticky='w')
prgm.rep[5]=L4.cget('text')
else:
L4=prgm.Label(prgm.root,text='x\u2081=-\u221A('+str(x1_num_rt)+')/('+str(int(x1_denom_c))+')'+egalite.main(x1_num/x1_denom)+str(round(x1_num/x1_denom,10)).replace('.',','))
L4.grid(column=6,row=3,sticky='w')
prgm.rep[5]=L4.cget('text')
elif x1_num_int<0 and x1_denom_c<0:
if abs(x1_denom_c)==1:
L4=prgm.Label(prgm.root,text='x\u2081='+str(int(-x1_num_int))+'+\u221A('+str(x1_num_rt)+')'+egalite.main(x1_num/x1_denom)+str(round(x1_num/x1_denom,10)).replace('.',','))
L4.grid(column=6,row=3,sticky='w')
prgm.rep[5]=L4.cget('text')
else:
L4=prgm.Label(prgm.root,text='x\u2081=('+str(int(-x1_num_int))+'+\u221A('+str(x1_num_rt)+'))/('+str(int(-x1_denom_c))+')'+egalite.main(x1_num/x1_denom)+str(round(x1_num/x1_denom,10)).replace('.',','))
L4.grid(column=6,row=3,sticky='w')
prgm.rep[5]=L4.cget('text')
else:
if abs(x1_denom_c)==1:
L4=prgm.Label(prgm.root,text='x\u2081='+str(int(x1_num_int))+'-\u221A('+str(x1_num_rt)+')'+egalite.main(x1_num/x1_denom)+str(round(x1_num/x1_denom,10)).replace('.',','))
L4.grid(column=6,row=3,sticky='w')
prgm.rep[5]=L4.cget('text')
else:
L4=prgm.Label(prgm.root,text='x\u2081=('+str(int(x1_num_int))+'-\u221A('+str(x1_num_rt)+'))/('+str(int(x1_denom_c))+')'+egalite.main(x1_num/x1_denom)+str(round(x1_num/x1_denom,10)).replace('.',','))
L4.grid(column=6,row=3,sticky='w')
prgm.rep[5]=L4.cget('text')
def main(a_num, a_denom, b_num, b_denom, c_num, c_denom, alpha_num,
alpha_denom, beta_num, beta_denom, extension, path):
if extension != '':
prgm.plt.figure(300)
if preferences.afficher_graphs == 1 or extension != '':
prgm.plt.rcParams['pdf.fonttype'] = 42
prgm.plt.rcParams['font.family'] = 'DejaVu Sans'
prgm.plt.rcParams['font.size'] = '10'
x0_num = -b_num * a_denom
x0_denom = 2 * a_num * b_denom
if x0_num % x0_denom == 0:
x0 = x0_num // x0_denom
L4 = prgm.Label(prgm.root, text='x\u2080=' + str(int(x0)))
L4.grid(column=6, row=3, sticky='w')
prgm.rep[5] = L4.cget('text')
else:
div_x0 = 2
while div_x0 <= abs(x0_num) and div_x0 <= abs(x0_denom):
if x0_num % div_x0 == 0 and x0_denom % div_x0 == 0:
x0_num = x0_num // div_x0
x0_denom = x0_denom // div_x0
else:
div_x0 = div_x0 + 1
if x0_num < 0 and x0_denom < 0:
L4 = prgm.Label(
prgm.root,
text='x\u2080=(' + str(int(-x0_num)) + ')/(' +
str(int(-x0_denom)) + ')' + egalite.main(x0_num / x0_denom) +
str(round(x0_num / x0_denom, 10)).replace('.', ','))
L4.grid(column=6, row=3, sticky='w')
prgm.rep[5] = L4.cget('text')
else:
L4 = prgm.Label(
prgm.root,
text='x\u2080=(' + str(int(x0_num)) + ')/(' +
str(int(x0_denom)) + ')' + egalite.main(x0_num / x0_denom) +
str(round(x0_num / x0_denom, 10)).replace('.', ','))
L4.grid(column=6, row=3, sticky='w')
prgm.rep[5] = L4.cget('text')
if preferences.afficher_graphs == 1:
pltxmin = alpha_num / alpha_denom - 10
pltxmax = alpha_num / alpha_denom + 10
ymax = 0
if (a_num / a_denom) * (pltxmin)**2 + (b_num / b_denom) * (pltxmin) + (
c_num / c_denom) > (a_num / a_denom) * (pltxmax)**2 + (
b_num / b_denom) * (pltxmax) + (c_num / c_denom):
if (a_num / a_denom) * (pltxmin)**2 + (b_num / b_denom) * (
pltxmin) + (c_num / c_denom) > 0:
ymax = (a_num / a_denom) * (pltxmin)**2 + (b_num / b_denom) * (
pltxmin) + (c_num / c_denom)
else:
ymax = (a_num / a_denom) * (pltxmax)**2 + (b_num / b_denom) * (
pltxmax) + (c_num / c_denom)
else:
if (a_num / a_denom) * (pltxmax)**2 + (b_num / b_denom) * (
pltxmax) + (c_num / c_denom) > 0:
ymax = (a_num / a_denom) * (pltxmax)**2 + (b_num / b_denom) * (
pltxmax) + (c_num / c_denom)
else:
ymax = (a_num / a_denom) * (pltxmin)**2 + (b_num / b_denom) * (
pltxmin) + (c_num / c_denom)
x = prgm.linspace(pltxmin, pltxmax, 1000)
y = (a_num / a_denom) * x**2 + (b_num / b_denom) * x + (c_num /
c_denom)
prgm.plt.plot(x, y, c='blue')
prgm.plt.scatter(alpha_num / alpha_denom,
beta_num / beta_denom,
c='red',
marker='x',
label='x\u2080=(\u03B1;\u03B2)')
prgm.plt.xlabel('x')
prgm.plt.ylabel('y=f(x)')
pltymin = 0
pltymax = 0
if beta_num / beta_denom - ymax / 100 < ymax:
pltymin = beta_num / beta_denom - ymax / 100
pltymax = ymax
else:
pltymin = ymax
pltymax = beta_num / beta_denom - ymax / 100
prgm.plt.axis([pltxmin, pltxmax, pltymin, pltymax])
prgm.plt.axhline(y=0, c='black')
prgm.plt.axvline(x=0, c='black')
prgm.plt.legend()
prgm.plt.title(fraction_equation.main())
if extension == 'pdf':
from matplotlib.backends.backend_pdf import PdfPages
prgm.plt.savefig(path)
prgm.plt.show(block=False)
prgm.plt.close(300)
elif extension != '':
if extension == 'png':
from images import png
prgm.plt.rcParams['savefig.dpi'], prgm.plt.rcParams[
'savefig.transparent'] = png.main(extension)
elif extension == 'jpg':
from images import jpg
prgm.plt.rcParams['savefig.dpi'] = jpg.main(extension)
prgm.plt.savefig(path)
prgm.plt.show(block=False)
prgm.plt.close(300)
else:
prgm.plt.show()
def sec_ent(a, b, c):
prgm.rep[6] = ''
prgm.entier_val[0] = a
prgm.entier_val[1] = b
prgm.entier_val[2] = c
delta = int(b**2 - 4 * a * c)
alpha_num = int(-b)
alpha_denom = int(2 * a)
beta_num = int(-delta)
beta_denom = int(4 * a)
L1 = prgm.Label(prgm.root, text='\u0394=' + str(delta))
L1.grid(column=6, row=0, sticky='w')
prgm.rep[2] = L1.cget('text')
if alpha_num % alpha_denom == 0:
alpha = alpha_num // alpha_denom
L2 = prgm.Label(prgm.root, text='\u03B1=' + str(alpha))
L2.grid(column=6, row=1, sticky='w')
prgm.rep[3] = L2.cget('text')
else:
div_alpha = 2
while div_alpha <= abs(alpha_num) and div_alpha <= abs(alpha_denom):
if alpha_num % div_alpha == 0 and alpha_denom % div_alpha == 0:
alpha_num = alpha_num // div_alpha
alpha_denom = alpha_denom // div_alpha
else:
div_alpha = div_alpha + 1
if alpha_denom < 0:
L2 = prgm.Label(
prgm.root,
text='\u03B1=(' + str(int(-alpha_num)) + ')/(' +
str(int(-alpha_denom)) + ')' +
egalite.main(alpha_num / alpha_denom) +
str(round(alpha_num / alpha_denom, 10)).replace('.', ','))
L2.grid(column=6, row=1, sticky='w')
prgm.rep[3] = L2.cget('text')
prgm.rep[3] = L2.cget('text')
else:
L2 = prgm.Label(
prgm.root,
text='\u03B1=(' + str(int(alpha_num)) + ')/(' +
str(int(alpha_denom)) + ')' +
egalite.main(alpha_num / alpha_denom) +
str(round(alpha_num / alpha_denom, 10)).replace('.', ','))
L2.grid(column=6, row=1, sticky='w')
prgm.rep[3] = L2.cget('text')
if beta_num % beta_denom == 0:
beta = beta_num // beta_denom
L3 = prgm.Label(prgm.root, text='\u03B2=' + str(beta))
L3.grid(column=6, row=2, sticky='w')
prgm.rep[4] = L3.cget('text')
else:
div_beta = 2
while div_beta <= abs(beta_num) and div_beta <= abs(beta_denom):
if beta_num % div_beta == 0 and beta_denom % div_beta == 0:
beta_num = beta_num // div_beta
beta_denom = beta_denom // div_beta
else:
div_beta = div_beta + 1
if beta_denom < 0:
L3 = prgm.Label(
prgm.root,
text='\u03B2=(' + str(int(-beta_num)) + ')/(' +
str(int(-beta_denom)) + ')' +
egalite.main(beta_num / beta_denom) +
str(round(beta_num / beta_denom, 10)).replace('.', ','))
L3.grid(column=6, row=2, sticky='w')
prgm.rep[4] = L3.cget('text')
else:
L3 = prgm.Label(
prgm.root,
text='\u03B2=(' + str(int(beta_num)) + ')/(' +
str(int(beta_denom)) + ')' +
egalite.main(beta_num / beta_denom) +
str(round(beta_num / beta_denom, 10)).replace('.', ','))
L3.grid(column=6, row=2, sticky='w')
prgm.rep[4] = L3.cget('text')
if delta < 0:
entier_pas_racine.main(a, b, c, alpha_num, alpha_denom, beta_num,
beta_denom, '', '')
elif delta == 0:
entier_x0.main(a, b, c, alpha_num, alpha_denom, beta_num, beta_denom,
'', '')
else:
entier_x1.main(a, b, delta)
entier_x2.main(a, b, delta)
if preferences.afficher_graphs == 1:
entier_deux_racines_plt.main(a, b, c, alpha_num, alpha_denom,
beta_num, beta_denom, delta, '', '')
def main(a, b, delta):
x2_num = -b + delta**0.5
x2_denom = 2 * a
if delta**0.5 == int(delta**0.5):
if x2_num % x2_denom == 0:
x2 = x2_num // x2_denom
L5 = prgm.Label(prgm.root, text='x\u2082=' + str(int(x2)))
L5.grid(column=6, row=4, sticky='w')
prgm.rep[6] = L5.cget('text')
else:
div_x2 = 2
while div_x2 <= abs(x2_num) and div_x2 <= abs(x2_denom):
if x2_num % div_x2 == 0 and x2_denom % div_x2 == 0:
x2_num = x2_num // div_x2
x2_denom = x2_denom // div_x2
else:
div_x2 = div_x2 + 1
if x2_num < 0 and x2_denom < 0:
L5 = prgm.Label(
prgm.root,
text='x\u2082=(' + str(int(-x2_num)) + ')/(' +
str(int(-x2_denom)) + ')' +
egalite.main(x2_num / x2_denom) +
str(round(x2_num / x2_denom, 10)).replace('.', ','))
L5.grid(column=6, row=4, sticky='w')
prgm.rep[6] = L5.cget('text')
else:
L5 = prgm.Label(
prgm.root,
text='x\u2082=(' + str(int(x2_num)) + ')/(' +
str(int(x2_denom)) + ')' +
egalite.main(x2_num / x2_denom) +
str(round(x2_num / x2_denom, 10)).replace('.', ','))
L5.grid(column=6, row=4, sticky='w')
prgm.rep[6] = L5.cget('text')
else:
x2_num_int = -b
x2_num_rt = delta
x2_denom_c = 2 * a
x2_num_int_div = x2_num_int
if x2_num_int_div == 0:
x2_num_int_div = x2_denom_c
div_x2 = 2
while div_x2 <= abs(x2_num_int_div) and div_x2 <= abs(x2_denom_c):
if x2_num_int % div_x2 == 0 and x2_denom_c % div_x2 == 0 and x2_num_rt % div_x2**2 == 0:
x2_num_int = x2_num_int // div_x2
x2_denom_c = x2_denom_c // div_x2
x2_num_rt = x2_num_rt // div_x2**2
x2_num_int_div = x2_num_int_div // div_x2
else:
div_x2 = div_x2 + 1
if x2_num_int == 0:
if abs(x2_denom_c) == 1:
L5 = prgm.Label(
prgm.root,
text='x\u2082=-\u221A(' + str(x2_num_rt) + ')' +
egalite.main(x2_num / x2_denom) +
str(round(x2_num / x2_denom, 10)).replace('.', ','))
L5.grid(column=6, row=4, sticky='w')
prgm.rep[6] = L5.cget('text')
else:
if x2_denom_c < 0:
L5 = prgm.Label(
prgm.root,
text='x\u2082=-\u221A(' + str(x2_num_rt) + ')/(' +
str(int(-x2_denom_c)) + ')' +
egalite.main(x2_num / x2_denom) +
str(round(x2_num / x2_denom, 10)).replace('.', ','))
L5.grid(column=6, row=4, sticky='w')
prgm.rep[6] = L5.cget('text')
else:
L5 = prgm.Label(
prgm.root,
text='x\u2082=\u221A(' + str(x2_num_rt) + ')/(' +
str(int(x2_denom_c)) + ')' +
egalite.main(x2_num / x2_denom) +
str(round(x2_num / x2_denom, 10)).replace('.', ','))
L5.grid(column=6, row=4, sticky='w')
prgm.rep[6] = L5.cget('text')
elif x2_num_int < 0 and x2_denom_c < 0:
if abs(x2_denom_c) == 1:
L5 = prgm.Label(
prgm.root,
text='x\u2082=' + str(int(-x2_num_int)) + '-\u221A(' +
str(x2_num_rt) + ')' + egalite.main(x2_num / x2_denom) +
str(round(x2_num / x2_denom, 10)).replace('.', ','))
L5.grid(column=6, row=4, sticky='w')
prgm.rep[6] = L5.cget('text')
else:
L5 = prgm.Label(
prgm.root,
text='x\u2082=(' + str(int(-x2_num_int)) + '-\u221A(' +
str(x2_num_rt) + '))/(' + str(int(-x2_denom_c)) + ')' +
egalite.main(x2_num / x2_denom) +
str(round(x2_num / x2_denom, 10)).replace('.', ','))
L5.grid(column=6, row=4, sticky='w')
prgm.rep[6] = L5.cget('text')
else:
if abs(x2_denom_c) == 1:
L5 = prgm.Label(
prgm.root,
text='x\u2082=' + str(int(x2_num_int)) + '+\u221A(' +
str(x2_num_rt) + ')' + egalite.main(x2_num / x2_denom) +
str(round(x2_num / x2_denom, 10)).replace('.', ','))
L5.grid(column=6, row=4, sticky='w')
prgm.rep[6] = L5.cget('text')
else:
L5 = prgm.Label(
prgm.root,
text='x\u2082=(' + str(int(x2_num_int)) + '+\u221A(' +
str(x2_num_rt) + '))/(' + str(int(x2_denom_c)) + ')' +
egalite.main(x2_num / x2_denom) +
str(round(x2_num / x2_denom, 10)).replace('.', ','))
L5.grid(column=6, row=4, sticky='w')
prgm.rep[6] = L5.cget('text')
def main(a_num, a_denom, b_num, b_denom, delta_num, delta_denom):
if delta_denom**0.5 == int(delta_denom**0.5):
x2_num = int((-b_num * (delta_denom**0.5) * a_denom) +
((delta_num**0.5) * b_denom * a_denom))
x2_denom = int(2 * a_num * b_denom * (delta_denom**0.5))
if x2_num % x2_denom == 0:
x2 = x2_num // x2_denom
L4 = prgm.Label(prgm.root, text='x\u2082=' + str(x2))
L4.grid(column=6, row=4, sticky='w')
prgm.rep[6] = L4.cget('text')
else:
div_x2 = 2
while div_x2 <= abs(x2_num) and div_x2 <= abs(x2_denom):
if x2_num % div_x2 == 0 and x2_denom % div_x2 == 0:
x2_num = x2_num // div_x2
x2_denom = x2_denom // div_x2
else:
div_x2 = div_x2 + 1
if x2_num < 0 and x2_denom < 0:
L4 = prgm.Label(prgm.root,
text='x\u2082=(' + str(-x2_num) + ')/(' +
str(-x2_denom) + ')=' +
str(x2_num / x2_denom).replace('.', ','))
L4.grid(column=6, row=4, sticky='w')
prgm.rep[6] = L4.cget('text')
else:
L4 = prgm.Label(prgm.root,
text='x\u2082=(' + str(x2_num) + ')/(' +
str(x2_denom) + ')=' +
str(x2_num / x2_denom).replace('.', ','))
L4.grid(column=6, row=4, sticky='w')
prgm.rep[6] = L4.cget('text')
else:
x2_num_int = int(b_denom * (delta_num**0.5) * a_denom)
x2_num_rt_int = int(-b_num * a_denom)
x2_num_rt = int(delta_denom)
x2_denom_int = int(b_denom * 2 * a_num)
x2_denom_rt = int(delta_denom)
x2_num_rt_int_div = x2_num_rt_int
x2_num_rt_div = x2_num_rt
if x2_num_rt_int == 0:
x2_num_rt_int_div = x2_denom_int
x2_num_rt_div = x2_denom_int
div_x2 = 2
while div_x2 <= abs(x2_num_int) and (
div_x2 <= abs(x2_denom_int) or
div_x2**2 <= x2_denom_rt) and (div_x2 <= abs(x2_num_rt_int_div)
or div_x2**2 <= x2_num_rt_div):
if x2_num_int % div_x2 == 0 and (
x2_denom_int % div_x2 == 0 or x2_denom_rt % div_x2**2
== 0) and (x2_num_rt_int % div_x2 == 0
or x2_num_rt % div_x2**2 == 0):
x2_num_int = x2_num_int // div_x2
if x2_denom_rt % div_x2**2 == 0:
x2_denom_rt = x2_denom_rt // div_x2**2
else:
x2_denom_int = x2_denom_int // div_x2
if x2_num_rt % div_x2**2 == 0:
x2_num_rt = x2_num_rt // div_x2**2
else:
x2_num_rt_int = x2_num_rt_int // div_x2
x2_num_rt_int_div = x2_num_rt_int_div // div_x2
x2_num_rt_div = x2_num_rt_div // div_x2
else:
div_x2 = div_x2 + 1
x2_num_1 = ''
x2_num_2 = ''
x2_denom = ''
if x2_num_rt_int == 0:
x2_num_1 = ''
elif x2_num_rt_int == 1:
x2_num_1 = '\u221A(' + str(x2_num_rt) + ')'
elif x2_num_rt_int == -1:
x2_num_1 = '-\u221A(' + str(x2_num_rt) + ')'
else:
x2_num_1 = str(x2_num_rt_int) + '\u221A(' + str(x2_num_rt) + ')'
if x2_num_int > 0:
x2_num_2 = '+' + str(x2_num_int)
else:
x2_num_2 = str(x2_num_int)
if x2_denom_int == 0:
x2_denom = ''
elif x2_denom_int == 1:
x2_denom = '\u221A(' + str(x2_denom_rt) + ')'
elif x2_denom_int == -1:
x2_denom = '-\u221A(' + str(x2_denom_rt) + ')'
else:
x2_denom = str(x2_denom_int) + '\u221A(' + str(x2_denom_rt) + ')'
L4 = prgm.Label(
prgm.root,
text='x\u2082=((' + x2_num_1 + x2_num_2 + ')/(' + x2_denom +
'))=' + str(
((-b_num * a_denom * delta_denom**0.5) +
(a_denom * b_denom * delta_num**0.5)) /
(2 * a_num * b_denom * delta_denom**0.5)).replace('.', ','))
L4.grid(column=6, row=4, sticky='w')
prgm.rep[6] = L4.cget('text')
def main(a_num, a_denom, b_num, b_denom, delta_num, delta_denom):
if delta_denom**0.5 == int(delta_denom**0.5):
x1_num = int((-b_num * (delta_denom**0.5) * a_denom) -
((delta_num**0.5) * b_denom * a_denom))
x1_denom = int(2 * a_num * b_denom * (delta_denom**0.5))
if x1_num % x1_denom == 0:
x1 = x1_num // x1_denom
L4 = prgm.Label(prgm.root, text='x\u2081=' + str(x1))
L4.grid(column=6, row=3, sticky='w')
prgm.rep[5] = L4.cget('text')
else:
div_x1 = 2
while div_x1 <= abs(x1_num) and div_x1 <= abs(x1_denom):
if x1_num % div_x1 == 0 and x1_denom % div_x1 == 0:
x1_num = x1_num // div_x1
x1_denom = x1_denom // div_x1
else:
div_x1 = div_x1 + 1
if x1_num < 0 and x1_denom < 0:
L4 = prgm.Label(prgm.root,
text='x\u2081=(' + str(-x1_num) + ')/(' +
str(-x1_denom) + ')=' +
str(x1_num / x1_denom).replace('.', ','))
L4.grid(column=6, row=3, sticky='w')
prgm.rep[5] = L4.cget('text')
else:
L4 = prgm.Label(prgm.root,
text='x\u2081=(' + str(x1_num) + ')/(' +
str(x1_denom) + ')=' +
str(x1_num / x1_denom).replace('.', ','))
L4.grid(column=6, row=3, sticky='w')
prgm.rep[5] = L4.cget('text')
else:
x1_num_int = int(-b_denom * (delta_num**0.5) * a_denom)
x1_num_rt_int = int(-b_num * a_denom)
x1_num_rt = int(delta_denom)
x1_denom_int = int(b_denom * 2 * a_num)
x1_denom_rt = int(delta_denom)
x1_num_rt_int_div = x1_num_rt_int
x1_num_rt_div = x1_num_rt
if x1_num_rt_int == 0:
x1_num_rt_int_div = x1_denom_int
x1_num_rt_div = x1_denom_int
div_x1 = 2
while div_x1 <= abs(x1_num_int) and (
div_x1 <= abs(x1_denom_int) or
div_x1**2 <= x1_denom_rt) and (div_x1 <= abs(x1_num_rt_int_div)
or div_x1**2 <= x1_num_rt_div):
if x1_num_int % div_x1 == 0 and (
x1_denom_int % div_x1 == 0 or x1_denom_rt % div_x1**2
== 0) and (x1_num_rt_int % div_x1 == 0
or x1_num_rt % div_x1**2 == 0):
x1_num_int = x1_num_int // div_x1
if x1_denom_rt % div_x1**2 == 0:
x1_denom_rt = x1_denom_rt // div_x1**2
else:
x1_denom_int = x1_denom_int // div_x1
if x1_num_rt % div_x1**2 == 0:
x1_num_rt = x1_num_rt // div_x1**2
else:
x1_num_rt_int = x1_num_rt_int // div_x1
x1_num_rt_int_div = x1_num_rt_int_div // div_x1
x1_num_rt_div = x1_num_rt_div // div_x1
else:
div_x1 = div_x1 + 1
x1_num_1 = ''
x1_num_2 = ''
x1_denom = ''
if x1_num_rt_int == 0:
x1_num_1 = ''
elif x1_num_rt_int == 1:
x1_num_1 = '\u221A(' + str(x1_num_rt) + ')'
elif x1_num_rt_int == -1:
x1_num_1 = '-\u221A(' + str(x1_num_rt) + ')'
else:
x1_num_1 = str(x1_num_rt_int) + '\u221A(' + str(x1_num_rt) + ')'
if x1_num_int > 0:
x1_num_2 = '+' + str(x1_num_int)
else:
x1_num_2 = str(x1_num_int)
if x1_denom_int == 0:
x1_denom = ''
elif x1_denom_int == 1:
x1_denom = '\u221A(' + str(x1_denom_rt) + ')'
elif x1_denom_int == -1:
x1_denom = '-\u221A(' + str(x1_denom_rt) + ')'
else:
x1_denom = str(x1_denom_int) + '\u221A(' + str(x1_denom_rt) + ')'
L4 = prgm.Label(prgm.root,
text='x\u2081=((' + x1_num_1 + x1_num_2 + ')/(' +
x1_denom + '))' + egalite.main(
((-b_num * a_denom * delta_denom**0.5) -
(a_denom * b_denom * delta_num**0.5)) /
(2 * a_num * b_denom * delta_denom**0.5)) + str(
round(((-b_num * a_denom * delta_denom**0.5) -
(a_denom * b_denom * delta_num**0.5)) /
(2 * a_num * b_denom * delta_denom**0.5),
10)).replace('.', ','))
L4.grid(column=6, row=3, sticky='w')
prgm.rep[5] = L4.cget('text')
