fix: correct the text language detection

main.py

@@ -50,4 +50,5 @@ if __name__ == '__main__':
     text_2_result = utils.forward_detection_with_text(lambda_fr, lambda_en, lambda_it, words_text_2)
     text_3_result = utils.forward_detection_with_text(lambda_fr, lambda_en, lambda_it, words_text_3)
 
+    print('Résultat sur les textes ----------------------------------------------')
     print(f'texte 1 {text_1_result}, texte 2 {text_2_result}, texte 3 {text_3_result}')

utils/__init__.py

@@ -1,5 +1,5 @@
 """
-Ce module contient des fonctions utilisataires
+Ce module contient des fonctions utilitaires
 """
 from HMM import HMM
 
@@ -9,14 +9,14 @@ def normalize_probabilities(prob_fr: float, prob_en: float, prob_it: float, sear
     return searched / sum
 
 
-def forward_detection(hmm_fr: HMM, hmm_en: HMM, hmm_it: HMM, O: list[int]) -> str:
+def forward_detection(hmm_fr: HMM, hmm_en: HMM, hmm_it: HMM, O: list[int]) -> tuple[str, float, list[float]]:
     """
     Prints the language detected with forward method
     :param hmm_fr: lambda_fr
     :param hmm_en: lambda_en
     :param hmm_it: lambda_it
     :param O: mot à détecter
-    :return: Le langage détecté
+    :return: Le langage détecté et la probabilité
     """
     res_fr, _ = hmm_fr.forward(O)
     res_en, _ = hmm_en.forward(O)
@@ -26,7 +26,7 @@ def forward_detection(hmm_fr: HMM, hmm_en: HMM, hmm_it: HMM, O: list[int]) -> st
     proba_en = normalize_probabilities(res_fr, res_en, res_it, res_en)
     proba_it = normalize_probabilities(res_fr, res_en, res_it, res_it)
 
-    print(f'FR={proba_fr}, EN={proba_en}, IT={proba_it}')
+    #print(f'FR={proba_fr}, EN={proba_en}, IT={proba_it}')
 
     probas: list[float] = [proba_fr, proba_en, proba_it]
 
@@ -38,21 +38,21 @@ def forward_detection(hmm_fr: HMM, hmm_en: HMM, hmm_it: HMM, O: list[int]) -> st
             language_index = index
 
     if language_index == 0:
-        return 'Français'
+        return 'Français', max_prob, [proba_fr, proba_en, proba_it]
     elif language_index == 1:
-        return 'Anglais'
+        return 'Anglais', max_prob, [proba_fr, proba_en, proba_it]
     else:
-        return 'Italien'
+        return 'Italien', max_prob, [proba_fr, proba_en, proba_it]
 
 
-def backward_detection(hmm_fr: HMM, hmm_en: HMM, hmm_it: HMM, O: str):
+def backward_detection(hmm_fr: HMM, hmm_en: HMM, hmm_it: HMM, O: str) -> tuple[str, float]:
     """
     Prints the language detected with backward method
     :param hmm_fr: lambda_fr
     :param hmm_en: lambda_en
     :param hmm_it: lambda_it
     :param O: mot à détecter
-    :return:
+    :return: Langage détecté et probabilité
     """
     res_fr = hmm_fr.backward(O)
     res_en = hmm_en.backward(O)
@@ -74,11 +74,11 @@ def backward_detection(hmm_fr: HMM, hmm_en: HMM, hmm_it: HMM, O: str):
             language_index = index
 
     if language_index == 0:
-        return 'Français'
+        return 'Français', max_prob
     elif language_index == 1:
-        return 'Anglais'
+        return 'Anglais', max_prob
     else:
-        return 'Italien'
+        return 'Italien', max_prob
 
 
 def forward_detection_with_text(hmm_fr: HMM, hmm_en: HMM, hmm_it: HMM, O: list[list[int]]) -> dict:
@@ -91,19 +91,19 @@ def forward_detection_with_text(hmm_fr: HMM, hmm_en: HMM, hmm_it: HMM, O: list[l
     :return: Le langage détecté
     """
 
-    # Count the language détection occurrences. The max count is the answer
-    french_count = 0
-    english_count = 0
-    italian_count = 0
+    # Count the language détection occurrences
+    french_prob_count = english_prob_count = italian_prob_count = 0
 
     for word in O:
-        lang = forward_detection(hmm_fr, hmm_en, hmm_it, word)
+        lang, _ = forward_detection(hmm_fr, hmm_en, hmm_it, word)
         match lang:
             case 'Français':
-                french_count += 1
+                french_prob_count += 1
             case 'Anglais':
-                english_count += 1
+                english_prob_count += 1
             case 'Italien':
-                italian_count += 1
+                italian_prob_count += 1
 
-    return {'french': french_count, 'english': english_count, 'italian': italian_count}
+    total_sum = french_prob_count + english_prob_count + italian_prob_count
+
+    return {'french': french_prob_count / total_sum, 'english': english_prob_count / total_sum, 'italian': italian_prob_count / total_sum}