From 8120494531314f7ea15e0c954b8db0c37d72333c Mon Sep 17 00:00:00 2001
From: Nico Maillet <nicolas.maillet@pasteur.fr>
Date: Wed, 15 Nov 2023 12:45:40 +0100
Subject: [PATCH] TP 6 answers

---
 .../6-TP-Exact_pattern_matching.pdf           | Bin 0 -> 960494 bytes
 6-Exact_pattern_matching/tp6.py               | 181 ++++++++++++++++++
 2 files changed, 181 insertions(+)
 create mode 100644 6-Exact_pattern_matching/6-TP-Exact_pattern_matching.pdf
 create mode 100644 6-Exact_pattern_matching/tp6.py

diff --git a/6-Exact_pattern_matching/6-TP-Exact_pattern_matching.pdf b/6-Exact_pattern_matching/6-TP-Exact_pattern_matching.pdf
new file mode 100644
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diff --git a/6-Exact_pattern_matching/tp6.py b/6-Exact_pattern_matching/tp6.py
new file mode 100644
index 0000000..141040f
--- /dev/null
+++ b/6-Exact_pattern_matching/tp6.py
@@ -0,0 +1,181 @@
+""" TP6 where we code some exact pattern matching algorithms """
+
+import time
+import random
+import ahocorasick
+
+
+def naive_exact_pattern_matching(pattern, text):
+    """ Naive algorithm of exact pattern matching
+        Search a pattern in a text at each and every positions
+    """
+	# Position of founded occurrences of the pattern in the text
+    matches = []
+    # Size of pattern
+    k = len(pattern)
+	# For each position/letter of text (careful about the end of the text)
+    for i, _ in enumerate(text[0:len(text)-k+1]):
+	    # If we found the pattern at this position
+        if pattern == text[i:i+k]:
+        	# Add this position to the results
+            matches.append(i)
+    # Return results
+    return matches
+
+class RollingHash:
+    """ The main class for rolling hash, k is the size of the pattern"""
+    def __init__(self, text, k):
+        """ Initialize all needed variables and compute the first hash"""
+        self.text = text
+        self.k = k
+        # Maps characters to int
+        self.alphabet = {"A": 0, "C": 1, "G": 2, "T": 3}
+        # Size of the alphabet
+        self.a = len(self.alphabet)
+        # Start of the current hash
+        self.start = 0
+        # End of the current hash
+        self.end = k
+        # The computed hash
+        self.hash = 0
+        # Compute the first hash
+        for i, char in enumerate(text[0:self.k]):
+            # val(current_char) * a^(k - (i+1))
+            self.hash += self.alphabet[char] * (self.a**(self.k-(i+1)))
+
+    def next_hash(self):
+        """ Compute the next hash """
+        # Avoid error on last next_hash()
+        if self.end < len(self.text):
+            # Remove left character of the current hash
+            self.hash -= self.alphabet[self.text[self.start]] * (self.a**(self.k-1))
+            # Increase all power
+            self.hash *= self.a
+            # Add new character to the hash
+            self.hash += self.alphabet[self.text[self.end]]
+            # Increment start and end
+            self.start += 1
+            self.end += 1
+
+    def get_string(self):
+        """ Return the actual string of current hash """
+        return self.text[self.start:self.end]
+
+def rabin_karp(pattern, text):
+    """ Rabin-Karp algorithm of exact pattern matching
+        Search a pattern in a text using rolling hash
+    """
+    # Get the hash of the pattern
+    pattern_hash = RollingHash(pattern, len(pattern))
+    # Start the rolling hash on the text
+    text_rolling_hash = RollingHash(text, len(pattern))
+
+    # Position of founded occurrences of the pattern in the text
+    matches = []
+    # For each position/letter of text (careful about the end of the text)
+    for i, _ in enumerate(text[0:len(text)-len(pattern)+1]):
+        # If we found the pattern at this position
+        if pattern_hash.hash == text_rolling_hash.hash:
+            # Compare characters
+            if  pattern == text_rolling_hash.get_string():
+                # Add this position to the results
+                matches.append(i)
+        text_rolling_hash.next_hash()
+    # Return results
+    return matches
+
+
+def aho_corasick(pattern, text):
+    """ Aho-Corasick implementation, requires pypi package pyahocorasick (pip3 install pyahocorasick) """
+    ahoc = ahocorasick.Automaton()
+    ahoc.add_word(pattern, (0, pattern))
+    ahoc.make_automaton()
+
+    matches = []
+    for item in ahoc.iter(text):
+        matches.append(item[0]-len(pattern)+1)
+    return matches
+
+
+def generator_of_sequence(size):
+    """ Generate a random ntd sequence of length 'size' """
+    # Return sequence
+    ret = ""
+    # While we did not have a long enough sequence
+    for _ in range(size):
+        # Add a new random ntd
+        ret += random.choice("ACGT")
+    # Return the sequence
+    return ret
+
+
+def main():
+    """ The main fo TP6 """
+    my_text = "ATAGCTAGCAT"
+    my_pattern = "AG"
+    # Print positions of occurrences
+    matches = naive_exact_pattern_matching(my_pattern, my_text)
+    print(matches)
+    # Print all matches
+    for start_pos_match in matches:
+        print(my_text[start_pos_match:start_pos_match+len(my_pattern)])
+
+    #rh = RollingHash("ACCGTACGTTGATATAGCTAGCATGCATGCTA", 4)
+    #print(rh.hash)
+    #rh.next_hash()
+    #print(rh.hash)
+
+    #matches_rk = rabin_karp(my_pattern, my_text)
+    #print(matches_rk)
+
+    '''
+
+    """ Run some time comparison between naive alog, Rabin-Karp and Aho-Corasick
+        algorithms. Naive is actually faster than Rabin-Karp,
+        mostly because the rolling hash used is not efficient.
+    """
+    # Time difference
+    my_pattern = "GCATATTA"
+    # Generate a big sequence
+    my_text = generator_of_sequence(50000000)
+
+    # Get the current time
+    start = time.time()
+    # Naive algorithm
+    matches = naive_exact_pattern_matching(my_pattern, my_text)
+    # Get the current time
+    end = time.time()
+    # Print the execution time (2 digits precision)
+    print("Naive: {:.2f}s".format(end - start))
+
+    # Get the current time
+    start = time.time()
+    # Naive algorithm
+    matches_rk = rabin_karp(my_pattern, my_text)
+    # Get the current time
+    end = time.time()
+    # Print the execution time (2 digits precision)
+    print("Rabin-Karp: {:.2f}s".format(end - start))
+    
+    # Get the current time
+    start = time.time()
+    # Naive algorithm
+    matches_aho = aho_corasick(my_pattern, my_text)
+    # Get the current time
+    end = time.time()
+    # Print the execution time (2 digits precision)
+    print("Aho-Corasick: {:.2f}s".format(end - start))
+    
+    if matches == matches_rk and matches_aho == matches:
+        # Print that everything is good
+        print("Results are identical: {} matches".format(len(matches)))
+    else:
+        # Print that there is a problem somewhere
+        print("There is a bug!!")
+
+    '''
+# Launch the main
+main()
+# Exit without error
+exit(0)
+# Always put one extra return line
-- 
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