Fix Det finder and change directory

nessesary/matrix.py

@@ -0,0 +1,170 @@
+class Matrix:
+    """
+    We will write matrix in form of nd-array 
+
+    Example:
+    - [[1, 2], [3, 4]] is a 2x2 Matrix (row x column)
+    - [[1, 2]] is 1x2 Matrix
+    """
+    
+    def __init__(self, array: list):
+        self.array = array
+        self.row = len(array)
+        self.column = len(array[0])
+        
+    def __add__(self, other):
+        """
+        Add matrix up and those matrix need same dimesional.
+        >>> m1 = Matrix([[1, 2], [3, 4]])
+        >>> m2 = Matrix([[1, 2], [3, 4]])
+        >>> m3 = m1 + m2
+        >>> m3.array
+        [[2, 4], [6, 8]]
+        """
+
+        if (self.row != other.row) and (self.column != other.column):
+            raise ValueError("Need matrix with same dimesional when add matrix up.")
+        for row_index in range(self.row):
+            for column_index in range(self.column):
+                self.array[row_index][column_index] += other.array[row_index][column_index]
+        return self
+
+    def __sub__(self, other):
+        """
+        Substract matrix up and those matrix need same dimesional.
+        >>> m1 = Matrix([[1, 2], [3, 4]])
+        >>> m2 = Matrix([[1, 2], [3, 4]])
+        >>> m3 = m1 - m2
+        >>> m3.array
+        [[0, 0], [0, 0]]
+        """
+
+        if (self.row != other.row) and (self.column != other.column):
+            raise ValueError("Need matrix with same dimesional when add matrix up.")
+        for row_index in range(self.row):
+            for column_index in range(self.column):
+                self.array[row_index][column_index] -= other.array[row_index][column_index]
+        return self
+
+    def __mul__(self, other):
+        """
+        Multiply matrix up and those matrix need same dimesional.
+        >>> m1 = Matrix([[1, 2], [3, 4]])
+        >>> m2 = Matrix([[1, 2], [3, 4]])
+        >>> m3 = m1 * m2
+        >>> m3.array
+        [[7, 10], [15, 22]]
+        """
+        if  self.column == other.row:
+            new_matrix = Matrix([[0 for i in range(other.column)] for k in range(self.row)])
+            for row_index in range(self.row): 
+                for col_index in range(self.column):
+                    for k in range(other.row):
+                        new_matrix.array[row_index][col_index] += self.array[row_index][k] * other.array[k][col_index]
+            return new_matrix
+        else:
+            raise ValueError("Can't multiply these matrix")
+
+    def copy_matrix(self):
+        """
+        >>> m = Matrix([[1,2]])
+        >>> m2 = m.copy_matrix()
+        >>> m2 is m
+        False
+        """
+        arr = self.array
+        new_matrix = Matrix(arr)
+        return new_matrix
+
+    def determinant(self):
+        """
+        Find determinant of Square Matrix
+        >>> m1 = Matrix([[1,2,3],[1,2,3],[1,2,3]])
+        >>> d = m1.determinant()
+        >>> d
+        0
+        """
+        if self.row != self.column:
+            raise ValueError(f"Can't Find determinant of {self.row} x {self.column} Matrix")
+
+        if self.row == 2 and self.column == 2:
+            return self.array[0][0] * self.array[1][1] - self.array[1][0] * self.array[0][1]
+
+        # value = 0
+        # index_cut_column = [range(self.row)]
+
+        # for column_to_cut in index_cut_column:
+        #     temp_matrix = self.copy_matrix()
+        #     temp_matrix.array = temp_matrix.array[1:]
+        #     row_count = len(temp_matrix.array)
+
+        #     for row_index in range(row_count):
+        #         temp_matrix.array[row_index] = temp_matrix.array[row_index][0:column_to_cut] + temp_matrix.array[row_index][column_to_cut+1:]
+
+        #     coeff_sign = (-1) ** (column_to_cut % 2)
+        #     sub_determinant = temp_matrix.determinant()
+        #     value = coeff_sign * self.array[0][column_to_cut] * sub_determinant
+        value = 0
+        for x in range(0, self.row):
+
+            i = 0
+            j = x
+            
+            sum_mul = 1
+            for y in range(0, self.row):
+                sum_mul *= self.array[i][j]
+                i += 1
+                j += 1
+                if (j >= self.row):
+                    j = 0
+
+            value += sum_mul
+
+        sum_sub = 0
+        for x in range(0, self.row):
+            
+            i = 0
+            j = self.row - 1 - x
+            
+            sum_mul = 1
+            for y in range(0, self.row):
+                sum_mul *= self.array[i][j]
+                i += 1
+                j -= 1
+                if (j < 0):
+                    j = self.row - 1
+            sum_sub -= sum_mul
+
+        determinant = value + sum_sub
+        return determinant
+
+    def tranpose(self):
+        """
+        Substract matrix up and those matrix need same dimesional.
+        >>> m1 = Matrix([[1, 2, 3], [3, 4, 5]])
+        >>> m1 = m1.tranpose()
+        >>> m1.array
+        [[1, 3], [2, 4], [3, 5]]
+        """
+        new_matrix = Matrix([[0 for i in range(self.row)] for k in range(self.column)])
+        for row_index in range(self.row):
+            for col_index in range(self.column):
+                new_matrix.array[col_index][row_index] += self.array[row_index][col_index]
+        return new_matrix
+
+    def inverse(self):
+        pass
+
+    def __str__(self):
+       return f'Matrix({self.array})'
+
+if __name__ == "__main__":
+    import doctest
+    doctest.testmod()
+    # Use the following line INSTEAD if you want to print all tests anyway.
+    # doctest.testmod(verbose = True)
+
+
+m1 = Matrix([[1,1,1],[2,2,2],[3,3,3]])
+d = m1.determinant()
+print(d)