add square root extraction implementation

bitutilities.py

@@ -100,6 +100,18 @@ class Counter(BasicRegister):
         return any(self.memory)
 
 
+def negated(memory: deque[bool]) -> deque[bool]:
+    """
+    Returns negated memory chunk.
+
+    :param deque[bool] memory: Memory chunk to be negated.
+
+    :return: Negated memory chunk.
+    :rtype: deque[bool]
+    """
+    return deque([not value for value in memory])
+
+
 def get_memory(variable_name: str) -> deque[bool]:
     """
     Reads user input to be used as a memory array.
@@ -472,3 +484,68 @@ def binary_division_method_2(first_term: BasicRegister, second_term: BasicRegist
         data_table[-1].append(list(map(str, [i, rg3, rg2, rg1, f"RG3 := l(RG3).SM[p]\nRG1 := 0.r(RG1)"])))
 
     return BasicRegister(deque(list(rg3.memory)[1:])), data_table
+
+def binary_square_root(first_term: BasicRegister) \
+        -> tuple[BasicRegister, list[list[str]]]:
+    """
+    Extracts the square root of first term.
+
+    :param: BasicRegister first_term: Register for square root extraction.
+
+    :return: Register containing the division result and the state table of a virtual
+             device that extracted the square root of the given term.
+    :rtype: tuple[BasicRegister, list[list[str]]]
+    """
+
+    n: int = len(first_term)
+    i = 0
+
+    rga = BasicRegister(deque([False]*n))
+    rgb = BasicRegister(deque([False]*(n+2)))
+    rgc = BasicRegister(first_term.memory)
+    ct = Counter(n)
+
+    data_table = [["iter", "RGA", "RGB", "RGC", "CT", "MicroOperations"]]
+
+    data_table.append([])
+    data_table[-1].append(list(map(str, [i, rga, rgb, rgc, ct, "-"])))
+
+    # two initial shifts
+    rgb.left_shift(rgc.memory[0])
+    rgc.left_shift()
+    data_table[-1].append(list(map(str, [i, rga, rgb, rgc, ct, "RGB := l(RGB).RGC[0]\nRGC := l(RGC).0"])))
+
+    rgb.left_shift(rgc.memory[0])
+    rgc.left_shift()
+    data_table[-1].append(list(map(str, [i, rga, rgb, rgc, ct, "RGB := l(RGB).RGC[0]\nRGC := l(RGC).0"])))
+
+    # initial inverted addition
+    rgb = binary_sum(rgb, BasicRegister(negated(rga.memory) + deque([True, True])))
+    data_table[-1].append(list(map(str, [i, rga, rgb, rgc, ct, "RGB := RGB + !(RGA).11"])))
+
+    while ct.non_zero():
+        data_table.append([])
+        i += 1
+
+        rga.left_shift(not rgb.memory[0])
+        rgb.left_shift(rgc.memory[0])
+        rgc.left_shift()
+
+        data_table[-1].append(list(map(str, [i, rga, rgb, rgc, ct, "RGA := l(RGA).!(RGB[0])\nRGB := l(RGB).RGC[0]\nRGC := l(RGC).0"])))
+
+        rgb.left_shift(rgc.memory[0])
+        rgc.left_shift()
+
+        data_table[-1].append(list(map(str, [i, rga, rgb, rgc, ct, "RGB := l(RGB).RGC[0]\nRGC := l(RGC).0"])))
+
+        if rgb.memory[0]:
+            rgb = binary_sum(rgb, BasicRegister(rga.memory + deque([True, True])))
+            data_table[-1].append(list(map(str, [i, rga, rgb, rgc, ct, "RGB := RGB + RGA.11"])))
+        else:
+            rgb = binary_sum(rgb, BasicRegister(negated(rga.memory) + deque([True, True])))
+            data_table[-1].append(list(map(str, [i, rga, rgb, rgc, ct, "RGB := RGB + !(RGA).11"])))
+
+        ct.decrement()
+        data_table[-1].append(list(map(str, [i, rga, rgb, rgc, ct, "CT := CT - 1"])))
+
+    return rga, data_table

main.py

@@ -9,7 +9,7 @@ user_input = []
 def process_command(symbol):
     global operation, method
 
-    if symbol.lower() in "asmdq":
+    if symbol.lower() in "asmdrq":
         operation = symbol
     elif operation == "m" and symbol in "1234":
         method = symbol
@@ -65,6 +65,10 @@ def perform_operation(first_register: bu.BasicRegister, second_register: bu.Basi
                     operation, method = "", ""
                 case _:
                     pass
+        case "r":
+            result, data_table = bu.binary_square_root(first_register)
+            print(f"\nSquare root:\n{bu.format_device_state_table(data_table)}\nResult: {result}")
+            operation, method = "", ""
         case "q":
             exit(0)
 
@@ -96,7 +100,7 @@ def input_handler(first_register: bu.BasicRegister, second_register: bu.BasicReg
         # print()
         if operation == "":
             raw_user_input = input("Choose the operation:\n"
-                                   "[a]ddition, [s]ubtraction, [m]ultiplication, [d]ivision, [q]uit\n" +
+                                   "[a]ddition, [s]ubtraction, [m]ultiplication, [d]ivision, [r]oot, [q]uit\n" +
                                    prompt_text + " > ")
         elif operation == "m":
             raw_user_input = input("Choose method to use (1-4):\n" + prompt_text + " > ")