Refactor bottom-up edit distance function to be class method (TheAlgorithms#7347)

* Refactor bottom-up function to be class method

* Add type hints

* Update convolve function namespace

* Remove depreciated np.float

* updating DIRECTORY.md

* updating DIRECTORY.md

* updating DIRECTORY.md

* updating DIRECTORY.md

* Renamed function for consistency

* updating DIRECTORY.md

Co-authored-by: github-actions <${GITHUB_ACTOR}@users.noreply.github.com>
Co-authored-by: Chris O <[email protected]>

Author: 3 people

DIRECTORY.md

@@ -46,6 +46,7 @@
   * [Count Number Of One Bits](bit_manipulation/count_number_of_one_bits.py)
   * [Gray Code Sequence](bit_manipulation/gray_code_sequence.py)
   * [Highest Set Bit](bit_manipulation/highest_set_bit.py)
+  * [Index Of Rightmost Set Bit](bit_manipulation/index_of_rightmost_set_bit.py)
   * [Is Even](bit_manipulation/is_even.py)
   * [Reverse Bits](bit_manipulation/reverse_bits.py)
   * [Single Bit Manipulation Operations](bit_manipulation/single_bit_manipulation_operations.py)
@@ -307,24 +308,28 @@
   * [Max Non Adjacent Sum](dynamic_programming/max_non_adjacent_sum.py)
   * [Max Sub Array](dynamic_programming/max_sub_array.py)
   * [Max Sum Contiguous Subsequence](dynamic_programming/max_sum_contiguous_subsequence.py)
+  * [Min Distance Up Bottom](dynamic_programming/min_distance_up_bottom.py)
   * [Minimum Coin Change](dynamic_programming/minimum_coin_change.py)
   * [Minimum Cost Path](dynamic_programming/minimum_cost_path.py)
   * [Minimum Partition](dynamic_programming/minimum_partition.py)
   * [Minimum Squares To Represent A Number](dynamic_programming/minimum_squares_to_represent_a_number.py)
   * [Minimum Steps To One](dynamic_programming/minimum_steps_to_one.py)
   * [Optimal Binary Search Tree](dynamic_programming/optimal_binary_search_tree.py)
+  * [Palindrome Partitioning](dynamic_programming/palindrome_partitioning.py)
   * [Rod Cutting](dynamic_programming/rod_cutting.py)
   * [Subset Generation](dynamic_programming/subset_generation.py)
   * [Sum Of Subset](dynamic_programming/sum_of_subset.py)
   * [Viterbi](dynamic_programming/viterbi.py)
 
 ## Electronics
+  * [Builtin Voltage](electronics/builtin_voltage.py)
   * [Carrier Concentration](electronics/carrier_concentration.py)
   * [Coulombs Law](electronics/coulombs_law.py)
   * [Electric Conductivity](electronics/electric_conductivity.py)
   * [Electric Power](electronics/electric_power.py)
   * [Electrical Impedance](electronics/electrical_impedance.py)
   * [Ohms Law](electronics/ohms_law.py)
+  * [Resistor Equivalence](electronics/resistor_equivalence.py)
   * [Resonant Frequency](electronics/resonant_frequency.py)
 
 ## File Transfer
@@ -426,6 +431,7 @@
   * [Adler32](hashes/adler32.py)
   * [Chaos Machine](hashes/chaos_machine.py)
   * [Djb2](hashes/djb2.py)
+  * [Elf](hashes/elf.py)
   * [Enigma Machine](hashes/enigma_machine.py)
   * [Hamming Code](hashes/hamming_code.py)
   * [Luhn](hashes/luhn.py)
@@ -491,6 +497,7 @@
   * [Abs Max](maths/abs_max.py)
   * [Abs Min](maths/abs_min.py)
   * [Add](maths/add.py)
+  * [Addition Without Arithmetic](maths/addition_without_arithmetic.py)
   * [Aliquot Sum](maths/aliquot_sum.py)
   * [Allocation Number](maths/allocation_number.py)
   * [Arc Length](maths/arc_length.py)
@@ -581,12 +588,15 @@
   * [Points Are Collinear 3D](maths/points_are_collinear_3d.py)
   * [Pollard Rho](maths/pollard_rho.py)
   * [Polynomial Evaluation](maths/polynomial_evaluation.py)
+  * Polynomials
+    * [Single Indeterminate Operations](maths/polynomials/single_indeterminate_operations.py)
   * [Power Using Recursion](maths/power_using_recursion.py)
   * [Prime Check](maths/prime_check.py)
   * [Prime Factors](maths/prime_factors.py)
   * [Prime Numbers](maths/prime_numbers.py)
   * [Prime Sieve Eratosthenes](maths/prime_sieve_eratosthenes.py)
   * [Primelib](maths/primelib.py)
+  * [Print Multiplication Table](maths/print_multiplication_table.py)
   * [Proth Number](maths/proth_number.py)
   * [Pythagoras](maths/pythagoras.py)
   * [Qr Decomposition](maths/qr_decomposition.py)
@@ -676,12 +686,15 @@
   * [Magicdiamondpattern](other/magicdiamondpattern.py)
   * [Maximum Subarray](other/maximum_subarray.py)
   * [Nested Brackets](other/nested_brackets.py)
+  * [Pascal Triangle](other/pascal_triangle.py)
   * [Password Generator](other/password_generator.py)
+  * [Quine](other/quine.py)
   * [Scoring Algorithm](other/scoring_algorithm.py)
   * [Sdes](other/sdes.py)
   * [Tower Of Hanoi](other/tower_of_hanoi.py)
 
 ## Physics
+  * [Archimedes Principle](physics/archimedes_principle.py)
   * [Casimir Effect](physics/casimir_effect.py)
   * [Centripetal Force](physics/centripetal_force.py)
   * [Horizontal Projectile Motion](physics/horizontal_projectile_motion.py)
@@ -694,7 +707,7 @@
   * [Newtons Second Law Of Motion](physics/newtons_second_law_of_motion.py)
   * [Potential Energy](physics/potential_energy.py)
   * [Rms Speed Of Molecule](physics/rms_speed_of_molecule.py)
-  * [Sheer Stress](physics/sheer_stress.py)
+  * [Shear Stress](physics/shear_stress.py)
 
 ## Project Euler
   * Problem 001

dynamic_programming/edit_distance.py

@@ -19,74 +19,72 @@ class EditDistance:
     """
 
     def __init__(self):
-        self.__prepare__()
-
-    def __prepare__(self, n=0, m=0):
-        self.dp = [[-1 for y in range(0, m)] for x in range(0, n)]
-
-    def __solve_dp(self, x, y):
-        if x == -1:
-            return y + 1
-        elif y == -1:
-            return x + 1
-        elif self.dp[x][y] > -1:
-            return self.dp[x][y]
+        self.word1 = ""
+        self.word2 = ""
+        self.dp = []
+
+    def __min_dist_top_down_dp(self, m: int, n: int) -> int:
+        if m == -1:
+            return n + 1
+        elif n == -1:
+            return m + 1
+        elif self.dp[m][n] > -1:
+            return self.dp[m][n]
         else:
-            if self.a[x] == self.b[y]:
-                self.dp[x][y] = self.__solve_dp(x - 1, y - 1)
+            if self.word1[m] == self.word2[n]:
+                self.dp[m][n] = self.__min_dist_top_down_dp(m - 1, n - 1)
             else:
-                self.dp[x][y] = 1 + min(
-                    self.__solve_dp(x, y - 1),
-                    self.__solve_dp(x - 1, y),
-                    self.__solve_dp(x - 1, y - 1),
-                )
-
-            return self.dp[x][y]
-
-    def solve(self, a, b):
-        if isinstance(a, bytes):
-            a = a.decode("ascii")
-
-        if isinstance(b, bytes):
-            b = b.decode("ascii")
-
-        self.a = str(a)
-        self.b = str(b)
-
-        self.__prepare__(len(a), len(b))
-
-        return self.__solve_dp(len(a) - 1, len(b) - 1)
-
-
-def min_distance_bottom_up(word1: str, word2: str) -> int:
-    """
-    >>> min_distance_bottom_up("intention", "execution")
-    5
-    >>> min_distance_bottom_up("intention", "")
-    9
-    >>> min_distance_bottom_up("", "")
-    0
-    """
-    m = len(word1)
-    n = len(word2)
-    dp = [[0 for _ in range(n + 1)] for _ in range(m + 1)]
-    for i in range(m + 1):
-        for j in range(n + 1):
-
-            if i == 0:  # first string is empty
-                dp[i][j] = j
-            elif j == 0:  # second string is empty
-                dp[i][j] = i
-            elif (
-                word1[i - 1] == word2[j - 1]
-            ):  # last character of both substing is equal
-                dp[i][j] = dp[i - 1][j - 1]
-            else:
-                insert = dp[i][j - 1]
-                delete = dp[i - 1][j]
-                replace = dp[i - 1][j - 1]
-                dp[i][j] = 1 + min(insert, delete, replace)
-    return dp[m][n]
+                insert = self.__min_dist_top_down_dp(m, n - 1)
+                delete = self.__min_dist_top_down_dp(m - 1, n)
+                replace = self.__min_dist_top_down_dp(m - 1, n - 1)
+                self.dp[m][n] = 1 + min(insert, delete, replace)
+
+            return self.dp[m][n]
+
+    def min_dist_top_down(self, word1: str, word2: str) -> int:
+        """
+        >>> EditDistance().min_dist_top_down("intention", "execution")
+        5
+        >>> EditDistance().min_dist_top_down("intention", "")
+        9
+        >>> EditDistance().min_dist_top_down("", "")
+        0
+        """
+        self.word1 = word1
+        self.word2 = word2
+        self.dp = [[-1 for _ in range(len(word2))] for _ in range(len(word1))]
+
+        return self.__min_dist_top_down_dp(len(word1) - 1, len(word2) - 1)
+
+    def min_dist_bottom_up(self, word1: str, word2: str) -> int:
+        """
+        >>> EditDistance().min_dist_bottom_up("intention", "execution")
+        5
+        >>> EditDistance().min_dist_bottom_up("intention", "")
+        9
+        >>> EditDistance().min_dist_bottom_up("", "")
+        0
+        """
+        self.word1 = word1
+        self.word2 = word2
+        m = len(word1)
+        n = len(word2)
+        self.dp = [[0 for _ in range(n + 1)] for _ in range(m + 1)]
+
+        for i in range(m + 1):
+            for j in range(n + 1):
+                if i == 0:  # first string is empty
+                    self.dp[i][j] = j
+                elif j == 0:  # second string is empty
+                    self.dp[i][j] = i
+                elif word1[i - 1] == word2[j - 1]:  # last characters are equal
+                    self.dp[i][j] = self.dp[i - 1][j - 1]
+                else:
+                    insert = self.dp[i][j - 1]
+                    delete = self.dp[i - 1][j]
+                    replace = self.dp[i - 1][j - 1]
+                    self.dp[i][j] = 1 + min(insert, delete, replace)
+        return self.dp[m][n]
 
 
 if __name__ == "__main__":
@@ -99,7 +97,7 @@ def min_distance_bottom_up(word1: str, word2: str) -> int:
     S2 = input("Enter the second string: ").strip()
 
     print()
-    print(f"The minimum Edit Distance is: {solver.solve(S1, S2)}")
-    print(f"The minimum Edit Distance is: {min_distance_bottom_up(S1, S2)}")
+    print(f"The minimum edit distance is: {solver.min_dist_top_down(S1, S2)}")
+    print(f"The minimum edit distance is: {solver.min_dist_bottom_up(S1, S2)}")
     print()
     print("*************** End of Testing Edit Distance DP Algorithm ***************")