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basic_functions.py
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basic_functions.py
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#!/usr/bin/env python3
"""
Assistant de paris sportifs
"""
import copy
from itertools import product, combinations, permutations
import numpy as np
def gain(cotes, mise=1):
"""
:param cotes: Cotes au format décimal
:type cotes: list[float]
:param mise: Mise à répartir sur toutes les cotes
:type mise: float
:return: Gain pour une somme des mises égale à mise
:rtype: int
"""
return mise / sum(map(lambda x: 1 / x, cotes))
def gain2(cotes, i, mise=1):
"""
:param cotes: Cotes au format décimal
:type cotes: list[float]
:param i: Indice de la cote sur laquelle miser
:type i: int
:param mise: Mise à placer sur une unique issue
:type mise: float
:return: Plus-value générée
:rtype: float
"""
return cotes[i] * mise - sum(mises2(cotes, mise, i))
def mises(cotes, mise=1, output=False, freebet_display=False):
"""
:param cotes: Cotes au format décimal
:type cotes: list[float]
:param mise: Mise à répartir sur toutes les cotes
:param output: Affichage des détails
:type output: bool
:return: Répartition optimale des mises
:rtype: list[float] or None
"""
gains = gain(cotes, mise)
mises_reelles = list(map(lambda x: gains / x, cotes))
if output:
mis = list(map(lambda x: round(x, 2), mises_reelles))
if freebet_display:
print("gain sur freebet =", round(gains + mise - sum(mis), 2))
print("gain sur freebet / mise freebet =", round(gains + mise - sum(mis), 2) / mise)
print("gain =", round(gains, 2))
print("mise totale =", round(sum(mis), 2))
print("mises arrondies =", mis)
return
print("taux de retour au joueur =", round(gain(cotes)*100, 3), "%")
print("somme des mises =", round(sum(mis), 2))
print("gain min =", min([round(mis[i] * cotes[i], 2)
for i in range(len(mis))]))
print("gain max =", max([round(mis[i] * cotes[i], 2)
for i in range(len(mis))]))
print("plus-value max =",
round(min([round(mis[i] * cotes[i], 2)
for i in range(len(mis))]) - sum(mis), 2))
print("mises arrondies =", mis)
return
return mises_reelles
def mises2(cotes, mise_requise, choix=-1, output=False, bonus_miles=0):
"""
Calcule la repartition des mises en pariant mise_requise sur l'une des
issues. Par défaut, mise_requise est placée sur la cote la plus basse.
:param cotes: Cotes au format décimal
:type cotes: list[float]
:param mise_requise: Mise à répartir sur toutes les cotes
:type mise_requise: float
:param choix: Indice de la cote sur laquelle miser
:type choix: int
:param output: Affichage des détails
:type output: bool
:return: Répartition optimale des mises
:rtype: list[float] or None
"""
if not cotes:
if output:
return
return []
if choix == -1:
choix = np.argmin(cotes)
gains = mise_requise * cotes[choix]
mises_reelles = list(map(lambda x: gains / x, cotes))
if output:
mis = list(map(lambda x: round(x, 2), mises_reelles))
print("taux de retour au joueur =", round(gain(cotes)*100, 3), "%")
print("somme des mises =", round(sum(mis), 2))
print("gain min =", min([round(mis[i] * cotes[i]+bonus_miles, 2)
for i in range(len(mis))]))
print("gain max =", max([round(mis[i] * cotes[i]+bonus_miles, 2)
for i in range(len(mis))]))
print("plus-value min =",
round(min([round(mis[i] * cotes[i], 2)
for i in range(len(mis))]) - sum(mis)+bonus_miles, 2))
print("plus-value max =",
round(max([round(mis[i] * cotes[i], 2)
for i in range(len(mis))]) - sum(mis)+bonus_miles, 2))
print("mises arrondies =", mis)
return
return mises_reelles
def mises3(odds, best_odds, stake, minimum_odd, output=False, miles=False, rate_eur_miles=0, multiplicator=1):
"""
Répartition optimale d'une certaine somme sur les différentes cotes en prenant en compte les cotes des autres
bookmakers
"""
assert len(odds) == len(best_odds)
n = len(odds)
indices_valid_odds = [i for i in range(n) if odds[i] >= minimum_odd]
n_valid_odds = len(indices_valid_odds)
profit = -stake
odds_best_profit = []
best_combination = []
reference_stake = []
best_stakes = []
nb_miles = 0
for i in range(n_valid_odds):
for combination in combinations(indices_valid_odds, i+1):
odds_to_check = []
for j in range(n):
odd = odds[j] if j in combination else best_odds[j]
odds_to_check.append(odd)
odds_site = [odds[k] for k in combination]
first_stake_site = mises(odds_site, stake)[0]
profit_combination = gain2(odds_to_check, combination[0], first_stake_site)
stakes = mises2(odds_to_check, first_stake_site, combination[0])
if miles:
profit_combination += rate_eur_miles * sum(stakes[outcome]*0.4*(1-1/odds[outcome]) for outcome in combination)
if profit_combination > profit:
reference_stake = first_stake_site
best_stakes = stakes
odds_best_profit = copy.deepcopy(odds_to_check)
best_combination = copy.deepcopy(combination)
profit = profit_combination
if miles:
nb_miles = round(sum(best_stakes[outcome]*0.4*(1-1/odds[outcome]) for outcome in best_combination)*multiplicator, 2)
if output:
if miles:
print("miles =", nb_miles)
print("miles convertis =", round(nb_miles*rate_eur_miles, 2))
mises2(odds_best_profit, reference_stake, best_combination[0], True, round(nb_miles*rate_eur_miles, 2))
print("cotes =", odds_best_profit)
return
if best_combination:
return mises2(odds_best_profit, reference_stake, best_combination[0], False, round(nb_miles*rate_eur_miles, 2)), best_combination
return
def gain3(odds, best_odds, stake, minimum_odd, miles=False, rate_eur_miles=0, multiplicator=1):
"""
Profit avec répartition optimale d'une certaine somme sur les différentes cotes en prenant en compte les cotes des autres
bookmakers
"""
assert len(odds) == len(best_odds)
n = len(odds)
indices_valid_odds = [i for i in range(n) if odds[i] >= minimum_odd]
n_valid_odds = len(indices_valid_odds)
profit = -float("inf")
best_combination = []
for i in range(n_valid_odds):
for combination in combinations(indices_valid_odds, i+1):
odds_to_check = []
for j in range(n):
odd = odds[j] if j in combination else best_odds[j]
odds_to_check.append(odd)
odds_site = [odds[k] for k in combination]
first_stake_site = mises(odds_site, stake)[0]
profit_combination = gain2(odds_to_check, combination[0], first_stake_site)
stakes = mises2(odds_to_check, first_stake_site, combination[0])
if miles:
profit_combination += rate_eur_miles * sum(stakes[outcome]*0.4*(1-1/odds[outcome]) for outcome in combination) * multiplicator
if profit_combination > profit:
profit = profit_combination
return profit
def equivalent_middle_odd(odds):
risque = 1-gain(odds)
gain_brut = gain(odds)
return gain_brut/risque
def mises_defi_rembourse_ou_gagnant(odds, stake, winning_outcome, output=False):
stakes = []
for i, odd in enumerate(odds):
if i == winning_outcome:
stakes.append(stake)
continue
parameter = sum([1/x for j, x in enumerate(odds) if j not in [i, winning_outcome]])
stakes.append(stake/(odd*(1-parameter)-1))
if output:
rounded_stakes = list(map(lambda x: round(x, 2), stakes))
print("taux de retour au joueur =", round(gain(odds)*100, 3), "%")
print("gain min =", min([round(rounded_stakes[i] * odds[i], 2)
for i in range(len(odds))]))
print("gain max =", max([round(rounded_stakes[i] * odds[i], 2)
for i in range(len(odds))]))
print("plus-value min =",
round(min([round(rounded_stakes[i] * odds[i], 2)
for i in range(len(odds))]) - sum(rounded_stakes), 2))
print("plus-value max =",
round(max([round(rounded_stakes[i] * odds[i], 2)
for i in range(len(odds))]) - sum(rounded_stakes), 2))
print("mises arrondies =", rounded_stakes)
return
return stakes
def gain_defi_rembourse_ou_gagnant(odds, stake, winning_outcome):
stakes = []
for i, odd in enumerate(odds):
if i == winning_outcome:
stakes.append(stake)
continue
parameter = sum([1/x for j, x in enumerate(odds) if j not in [i, winning_outcome]])
stake_i = stake/(odd*(1-parameter)-1)
if stake_i < 0:
return float("-inf")
stakes.append(stake_i)
return stake * odds[winning_outcome] - sum(stakes)
def cotes_freebet(cotes):
"""
Calcule les cotes d'un match joué avec des paris gratuits
:param cotes: Cotes au format décimal
:type cotes: list[float]
:return: Cotes réduites de 1
:rtype: list[float]
"""
return list(map(lambda x: (x - 1 if x > 1 else 0.01), cotes))
def mises_freebets(cotes, mise):
"""
Calcule la repartition des mises en paris gratuits pour maximiser les gains
avec une mise totale égale à mise
:param cotes:
:type cotes:
:param mise:
:type mise:
:return:
:rtype:
"""
return mises(cotes_freebet(cotes), mise)
def mises_freebet(cotes, freebet, issue=-1, output=False):
"""
Calcule la repartition des mises en presence d'un freebet a placer sur l'une
des issues. Par defaut, le freebet est place sur la cote la plus haute.
"""
if issue == -1:
issue = np.argmax(cotes)
mises_reelles = mises2(cotes[:issue] + [cotes[issue] - 1] + cotes[issue + 1:], freebet, issue)
gains = mises_reelles[issue] * (cotes[issue] - 1)
if output:
mis = list(map(lambda x: round(x, 2), mises_reelles))
conversion_rate = round(gains + freebet - sum(mis), 2) / freebet if gain(cotes) < 1 else (cotes[issue] - 1)/cotes[issue]
print("gain sur freebet =", round(gains + freebet - sum(mis), 2))
print("taux de conversion =", round(conversion_rate * 100, 3), "%")
print("gain =", round(gains, 2))
print("mise totale (hors freebet) =", round(sum(mis) - freebet, 2))
print("mises arrondies =", mis)
return
return mises_reelles
def mises_freebet2(cotes, freebet, issue=-1, output=False):
"""
Calcule la repartition des mises en presence de 2 freebets a placer sur des issues d'un même
match. Le 2e freebet est placé automatiquement.
"""
i_max = np.argmax(cotes)
if issue == -1:
issue = i_max
mises_reelles = mises2(cotes[:issue] + [cotes[issue] - 1] + cotes[issue + 1:], freebet, issue)
gains = mises_reelles[issue] * (cotes[issue] - 1)
issue2 = int(np.argmax(cotes[:i_max] + [0] + cotes[i_max + 1:]) if issue == i_max else i_max)
mis = list(map(lambda x: round(x, 2), mises_reelles))
rapport_gain = (gains + freebet - sum(mis)) / freebet
if rapport_gain < (cotes[issue2] - 1) / cotes[issue2]:
mises_reelles[issue2] = round(gains / (cotes[issue2] - 1), 2)
mis = list(map(lambda x: round(x, 2), mises_reelles))
freebet += mis[issue2]
if output:
print("gain sur freebet =", round(gains + freebet - sum(mis), 2))
print("gain sur freebet / mise freebet =", round(gains + freebet - sum(mis), 2) / freebet)
print("gain =", round(gains, 2))
print("mise totale (hors freebet) =", round(sum(mis) - freebet, 2))
print("mises arrondies =", mis)
return issue2
return mises_reelles
def gain_freebet2(cotes, freebet, issue=-1):
"""
Calcule le taux de gain si l'on place deux freebets sur un match même match.
"""
i_max = np.argmax(cotes)
if issue == -1:
issue = i_max
mises_reelles = mises2(cotes[:issue] + [cotes[issue] - 1] + cotes[issue + 1:], freebet, issue)
gains = mises_reelles[issue] * (cotes[issue] - 1)
issue2 = int(np.argmax(cotes[:i_max] + cotes[i_max + 1:]) if issue == i_max else i_max)
mis = list(map(lambda x: round(x, 2), mises_reelles))
rapport_gain = (gains + freebet - sum(mis)) / freebet
if rapport_gain < (cotes[issue2] - 1) / cotes[issue2]:
mis[issue2] = round(gains / (cotes[issue2] - 1), 2)
freebet += mis[issue2]
return (gains + freebet - sum(mis)) / freebet
def cotes_combine(cotes):
"""
Calcule les cotes de plusieurs matches combines
"""
return [round(np.prod(i), 4) for i in product(*cotes)]
def gain_pari_rembourse_si_perdant(cotes, mise_max, rang=-1, remb_freebet=False,
taux_remboursement=1):
"""
Calcule le bénéfice lorsque l'un des paris est rembourse. Par
defaut, la mise remboursee est placee sur la cote la plus haute et le
remboursement est effectue en argent reel
"""
taux = ((not remb_freebet) + 0.77 * remb_freebet) * taux_remboursement
if rang == -1:
rang = np.argmax(cotes)
gains = mise_max * cotes[rang]
mis = list(map(lambda x: (gains - mise_max * taux) / x, cotes))
mis[rang] = mise_max
return gains - sum(mis)
def mises_pari_rembourse_si_perdant(cotes, mise_max, rang=-1, remb_freebet=False,
taux_remboursement=1, output=False):
"""
Calcule les mises lorsque l'un des paris est rembourse. Par
defaut, la mise remboursee est placee sur la cote la plus haute et le
remboursement est effectue en argent reel
"""
taux = ((not remb_freebet) + 0.77 * remb_freebet) * taux_remboursement
if rang == -1:
rang = np.argmax(cotes)
gains = mise_max * cotes[rang]
mis_reelles = list(map(lambda x: (gains - mise_max * taux) / x, cotes))
mis_reelles[rang] = mise_max
if output:
mis = list(map(lambda x: round(x, 2), mis_reelles))
print("gain net =", round(gains - sum(mis), 2))
print("taux de retour au joueur =", round(gain(cotes)*100, 3), "%")
print("mises arrondies =", mis)
return
return mis_reelles
def mises_promo_gain_cote(cotes, mise_minimale, rang, output=False):
"""
Calcule la répartition des mises pour la promotion "gain en freebet de la cote gagnée"
"""
mis = []
gains = cotes[rang] * 0.77 + mise_minimale * cotes[rang]
for cote in cotes:
mis.append((gains / cote))
mis[rang] = mise_minimale
if output:
print("somme mises=", sum(mis))
print("gain=", gains)
return mis
def gain_promo_gain_cote(cotes, mise_minimale, rang):
"""
Calcule le gain pour la promotion "gain en freebet de la cote gagnée"
"""
mis = []
gains = cotes[rang] * 0.77 + mise_minimale * cotes[rang]
for cote in cotes:
mis.append((gains / cote))
mis[rang] = mise_minimale
return gains - sum(mis)
def cote_boostee(cote, boost_selon_cote=True, freebet=True, boost=1):
"""
Calcul de cote boostee pour promotion Betclic
"""
mult_freebet = 1 * (not freebet) + 0.8 * freebet
if not boost_selon_cote:
return cote + (cote - 1) * boost * mult_freebet
if cote < 2:
return cote
if cote < 2.51:
return cote + (cote - 1) * 0.25 * mult_freebet
if cote < 3.51:
return cote + (cote - 1) * 0.5 * mult_freebet
return cote + (cote - 1) * mult_freebet
def taux_boost(cote, boost_selon_cote=True, boost=1):
"""
Calcul du taux de boost pour promotion Betclic
"""
if not boost_selon_cote:
return boost
if cote < 2:
return 0
if cote < 2.51:
return 0.25
if cote < 3.51:
return 0.5
return 1
def mises_gains_nets_boostes(cotes, gain_max, boost_selon_cote=True, freebet=True, boost=1, output=False):
"""
Optimisation de gain pour promotion Betclic de type "Cotes boostees"
"""
new_cotes = list(map(lambda x: cote_boostee(x, boost_selon_cote, freebet, boost), cotes))
benefice_max = -float("inf")
meilleures_mises = []
for i, cote in enumerate(cotes):
if not taux_boost(cote, boost_selon_cote, boost):
continue
mise = gain_max / ((cotes[i] - 1) * taux_boost(cote, boost_selon_cote, boost))
mises_possibles = mises2(new_cotes, mise, i)
mises_corrigees = []
benefice = 0
for j, mis in enumerate(mises_possibles):
if mis * ((cotes[j] - 1) * taux_boost(cotes[j], boost_selon_cote, boost)) > gain_max + 0.1:
mises_corrigees.append(mise * cote / cotes[j])
else:
mises_corrigees.append(mis)
benefice = mises_corrigees[j] * new_cotes[j]
benefice -= sum(mises_corrigees)
if benefice > benefice_max:
benefice_max = benefice
meilleures_mises = mises_corrigees
if output:
print("somme des mises =", sum(meilleures_mises))
print("plus-value =", round(benefice_max, 2))
return meilleures_mises
def gain_gains_nets_boostes(cotes, gain_max, boost_selon_cote=True, freebet=True, boost=1):
"""
Optimisation de gain pour promotion Betclic de type "Cotes boostees"
"""
new_cotes = list(map(lambda x: cote_boostee(x, boost_selon_cote, freebet, boost), cotes))
benefice_max = -float("inf")
for i, cote in enumerate(cotes):
mise = gain_max / ((cotes[i] - 1) * taux_boost(cote, boost_selon_cote, boost))
mises_possibles = mises2(new_cotes, mise, i)
mises_corrigees = []
benefice = 0
for j, mis in enumerate(mises_possibles):
if mis * ((cotes[j] - 1) * taux_boost(cotes[j], boost_selon_cote, boost)) > gain_max + 0.1:
mises_corrigees.append(mise * cote / cotes[j])
else:
mises_corrigees.append(mis)
benefice = mises_corrigees[j] * new_cotes[j]
benefice -= sum(mises_corrigees)
if benefice > benefice_max:
benefice_max = benefice
return benefice_max
def paris_rembourses_si_perdants(cotes, remboursement_max, freebet, taux_remboursement):
"""
Calcule les mises à placer lorsque tous les paris perdants sont remboursés
"""
rg_max = int(np.argmax(cotes))
n = len(cotes)
facteur = (1 - 0.2 * freebet) * taux_remboursement
systeme = []
for i, cote in enumerate(cotes):
line = [facteur for _ in range(n + 1)]
line[-1] = -1
line[i] = cote
systeme.append(line)
line = [taux_remboursement for _ in range(n + 1)]
line[rg_max] = 0
line[-1] = 0
systeme.append(line)
a = np.array(systeme)
values = [0 for _ in range(n + 1)]
values[-1] = remboursement_max
b = np.array(values)
x = np.linalg.solve(a, b)
print("Bénéfice net:", x[-1] - sum(x[:-1]))
print(x[:-1])
def mises_pari_rembourse_si_perdant_paliers(cotes, output=False):
"""
Optimisation de la promotion Zebet qui attribue un unique cashback en fonction de la plus haute
mise perdue
"""
def aux(mise):
if mise > 25:
return 10
if mise > 20:
return 8
if mise > 15:
return 6
if mise > 10:
return 4
if mise > 5:
return 2
return 0
sorted_cotes = sorted(cotes)
mise_max = 25.01
gain_approx = mise_max * sorted_cotes[0]
retour_approx = aux(gain_approx / sorted_cotes[1])
gains = gain_approx + retour_approx * 0.8
while aux((gains - aux(mise_max) * 0.8) / sorted_cotes[1]) != retour_approx:
retour_approx -= 2
gains = gain_approx + retour_approx
mis_reelles = []
for cote in cotes:
mis_reelles.append((gains - aux(mise_max) * 0.8) / cote)
mis_reelles[int(np.argmin(cotes))] = mise_max
if output:
mis = list(map(lambda x: round(x, 2), mis_reelles))
print("gain net =", gains - sum(mis))
print("mises arrondies =", mis)
return
return mis_reelles
def combine_reduit_rec(combi_to_keep, nb_outcomes):
n = len(combi_to_keep)
if n <= 1:
return [[[i] for i in range(nb_outcomes)]]
out = []
for i in range(n):
ref_combi = combi_to_keep[:i]+combi_to_keep[i+1:]
combines_partiels = combine_reduit_rec(ref_combi, nb_outcomes)
for list_combi in combines_partiels:
new_combi = []
for combi in list_combi:
if combi != ref_combi:
copy_combi = copy.deepcopy(combi)
copy_combi.insert(i, float("inf"))
new_combi.append(copy_combi)
else:
for j in range(nb_outcomes):
copy_combi = copy.deepcopy(combi)
copy_combi.insert(i, j)
new_combi.append(copy_combi)
out.append(new_combi)
return out
def mises_combine_optimise(odds, combination, stake, minimum_odd, output=False):
nb_outcomes = len(odds[0])
best_odds = []
best_profit = float("-inf")
best_combination = []
for outcomes in combine_reduit_rec(combination, nb_outcomes):
tmp_odds = []
for i, combi in enumerate(outcomes):
odd = 1
if combi == combination:
i_tmp = i
for j, outcome in enumerate(combi):
if outcome == float("inf"):
continue
odd *= odds[j][outcome]
if odd < minimum_odd:
break
tmp_odds.append(odd)
else:
tmp_profit = gain2(tmp_odds, i_tmp, stake)
if tmp_profit > best_profit:
best_odds = tmp_odds
best_profit = tmp_profit
best_combination = outcomes
if not best_combination:
return
if output:
mises2(best_odds, stake, best_combination.index(combination), output)
print("combinaisons = ", best_combination)
else:
return mises2(best_odds, stake, best_combination.index(combination), output), best_combination
def gain_combine_optimise(odds, combination, stake, minimum_odd):
nb_outcomes = len(odds[0])
best_profit = float("-inf")
for outcomes in combine_reduit_rec(combination, nb_outcomes):
tmp_odds = []
for i, combi in enumerate(outcomes):
odd = 1
if combi == combination:
i_tmp = i
for j, outcome in enumerate(combi):
if outcome == float("inf"):
continue
odd *= odds[j][outcome]
if odd < minimum_odd:
break
tmp_odds.append(odd)
else:
tmp_profit = gain2(tmp_odds, i_tmp, stake)
if tmp_profit > best_profit:
best_profit = tmp_profit
return best_profit
def cotes_combine_optimise(odds):
"""
Calcule les cotes optimisees de plusieurs matches combines
"""
nb_outcomes = len(odds[0])
nb_matches = len(odds)
all_odds = []
all_outcomes = []
for combination in permutations(range(nb_outcomes), nb_matches):
for outcomes in combine_reduit_rec(list(combination), nb_outcomes):
tmp_odds = []
if outcomes in all_outcomes:
continue
all_outcomes.append(outcomes)
for i, combi in enumerate(outcomes):
odd = 1
for j, outcome in enumerate(combi):
if outcome == float("inf"):
continue
odd *= odds[j][outcome]
tmp_odds.append(round(odd, 4))
all_odds.append(tmp_odds)
return all_odds, all_outcomes