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10 Commits
multiplica
...
menu-impro
| Author | SHA1 | Date | |
|---|---|---|---|
| ec152c5758 | |||
| e2ebe2d095 | |||
| 5e5f76deee | |||
| 9f7ec834b2 | |||
| a387325077 | |||
| f31491cdad | |||
| 91fc4084e1 | |||
| c8fb25025c | |||
| f1d348616a | |||
| 421a94b195 |
225
bitutilities.py
225
bitutilities.py
@@ -1,4 +1,6 @@
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import copy
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from collections import deque
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from typing_extensions import Self
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from lib.prettytable import PrettyTable
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@@ -10,8 +12,8 @@ class BasicRegister:
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:param deque[bool] memory: The bits stored inside the register.
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"""
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def __init__(self, memory: list[bool]):
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self.memory: deque[bool] = deque(memory)
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def __init__(self, memory: deque[bool]):
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self.memory: deque[bool] = memory
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def __repr__(self) -> str:
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return "".join([str(int(value)) for value in self.memory])
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@@ -33,18 +35,18 @@ class BasicRegister:
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"""
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current_memory_size: int = len(self.memory)
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return BasicRegister(
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[False] * max(resulting_size - current_memory_size, 0) + list(self.memory)[-resulting_size:]
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deque([False] * max(resulting_size - current_memory_size, 0) + list(self.memory)[-resulting_size:])
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)
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def reverse(self):
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def negate(self):
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"""
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Performs a logical negation on the register.
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Performs logical negation on the register.
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"""
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self.memory = deque([not value for value in self.memory])
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def left_shift(self, shift_in_value: bool = False, bits_shifted: int = 1) -> deque[bool]:
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"""
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Shifts the register to the left by a specified number of steps
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Shifts the register to the left by a specified number of steps.
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:param bool shift_in_value: The value that shifts inside the freed space.
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:param int bits_shifted: The number of bits by which the register is shifted.
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@@ -71,7 +73,7 @@ class BasicRegister:
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return shifted_bits
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class Counter:
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class Counter(BasicRegister):
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"""
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The Counter represents a hardware register specifically designed for countdowns.
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@@ -79,7 +81,9 @@ class Counter:
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"""
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def __init__(self, value: int):
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self.memory: deque[bool] = deque([i == "1" for i in bin(value)[2:]])
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# memory: deque[bool] = deque([i == "1" for i in bin(value)[2:]])
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super().__init__(deque([i == "1" for i in bin(value)[2:]]))
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# self.memory: deque[bool] = deque([i == "1" for i in bin(value)[2:]])
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def __repr__(self) -> str:
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return "".join([str(int(value)) for value in self.memory])
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@@ -91,13 +95,13 @@ class Counter:
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return len(self.memory)
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def decrement(self):
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self.memory = binary_subtraction(self, BasicRegister([False] * (len(self.memory) - 1) + [True])).memory
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self.memory = binary_subtraction(self, BasicRegister(deque([False] * (len(self.memory) - 1) + [True]))).memory
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def non_zero(self) -> bool:
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return any(self.memory)
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def get_memory(variable_name: str) -> list[bool]:
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def get_memory(variable_name: str) -> deque[bool]:
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"""
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Reads user input to be used as a memory array.
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@@ -110,7 +114,7 @@ def get_memory(variable_name: str) -> list[bool]:
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input_chars: list[str] = list(input(f"Enter {variable_name}: "))
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if all(character in ["0", "1"] for character in input_chars):
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return [True if character == "1" else False for character in input_chars]
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return deque([True if character == "1" else False for character in input_chars])
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else:
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print(f"[ERROR] The {variable_name} may contain only 1-s and 0-s!")
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@@ -125,7 +129,7 @@ def binary_sum_with_carry(first_term: BasicRegister, second_term: BasicRegister)
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:return: Register containing the sum and the carry-out bit.
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:rtype: tuple[BasicRegister, int]
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"""
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result_term = BasicRegister([False] * len(first_term))
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result_term = BasicRegister(deque([False] * len(first_term)))
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carry = False
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for i in range(len(first_term) - 1, -1, -1):
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@@ -159,39 +163,41 @@ def binary_subtraction(minuend: BasicRegister, subtrahend: BasicRegister) -> Bas
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:return: Register containing the difference.
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:rtype: BasicRegister
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"""
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subtrahend.reverse()
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subtrahend = BasicRegister(subtrahend.memory)
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subtrahend.negate()
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difference: BasicRegister
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final_carry: bool
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difference, final_carry = binary_sum_with_carry(minuend, subtrahend)
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if final_carry:
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return binary_sum(difference, BasicRegister([False] * (len(difference) - 1) + [True]))
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return binary_sum(difference, BasicRegister(deque([False] * (len(difference) - 1) + [True])))
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else:
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difference.reverse()
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difference.negate()
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return difference
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# def align_registers(first_register: BasicRegister, second_register: BasicRegister) \
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# -> tuple[BasicRegister, BasicRegister]:
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# """
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# Aligns two registers by the length of the bigger one.
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#
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# :param BasicRegister first_register:
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# :param BasicRegister second_register:
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#
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# :return:
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# :rtype: tuple[BasicRegister, BasicRegister]
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# """
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# first_size = len(first_register)
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# second_size = len(second_register)
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#
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# required_size = max(first_size, second_size)
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#
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# if first_size != second_size:
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# return first_register.adjusted_by_size(required_size), second_register.adjusted_by_size(required_size)
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# else:
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# return first_register, second_register
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def binary_subtraction_second_complement(minuend: BasicRegister, subtrahend: BasicRegister) \
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-> tuple[BasicRegister, bool]:
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"""
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Subtracts the second term from the first in binary using seconds' complement.
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:param BasicRegister minuend: Register to subtract from.
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:param BasicRegister subtrahend: Register to subtract by.
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:return: Register containing the difference.
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:rtype: BasicRegister
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"""
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subtrahend = BasicRegister(subtrahend.memory)
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subtrahend.negate()
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subtrahend = binary_sum(*align_registers(subtrahend, BasicRegister([True])))
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difference: BasicRegister
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final_carry: bool
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difference, final_carry = binary_sum_with_carry(minuend, subtrahend)
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return difference, final_carry
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def align_registers(*registers: BasicRegister) -> tuple[BasicRegister, ...]:
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@@ -214,12 +220,13 @@ def format_device_state_table(table) -> str:
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for block in table[1:]:
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for line in block[:-1]:
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pt.add_row(line)
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pt.add_row(block[-1], divider = True)
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pt.add_row(block[-1], divider=True)
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return pt.get_string()
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def binary_multiplication_method_1(first_term: BasicRegister, second_term: BasicRegister) -> BasicRegister:
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def binary_multiplication_method_1(first_term: BasicRegister, second_term: BasicRegister) \
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-> tuple[BasicRegister, list[list[str]]]:
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"""
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Multiplies two terms containing binary numbers using first method.
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@@ -229,12 +236,12 @@ def binary_multiplication_method_1(first_term: BasicRegister, second_term: Basic
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:return: Register containing the product.
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:rtype: BasicRegister
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"""
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first_term, second_term = align_registers(first_term, second_term)
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n: int = len(first_term)
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rg1 = BasicRegister([False] * n)
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rg2 = BasicRegister(first_term.memory)
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rg3 = BasicRegister(second_term.memory)
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rg1 = BasicRegister(deque([False] * n))
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rg2 = copy.copy(first_term)
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rg3 = copy.copy(second_term)
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ct = Counter(n)
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data_table = [["iter", "RG1", "RG2", "RG3", "CT", "MicroOperations"]]
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@@ -255,13 +262,13 @@ def binary_multiplication_method_1(first_term: BasicRegister, second_term: Basic
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rg1.right_shift()
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ct.decrement()
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print(ct.memory)
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data_table[-1].append(list(map(str, [i, rg1, rg2, rg3, ct, "RG2 := RG1[1].r(RG2)\nRG1 := 0.r(RG1)\nCT := CT - 1"])))
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return BasicRegister(list(rg1.memory) + list(rg2.memory)), data_table
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return BasicRegister(rg1.memory + rg2.memory), data_table
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def binary_multiplication_method_2(first_term: BasicRegister, second_term: BasicRegister) -> BasicRegister:
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def binary_multiplication_method_2(first_term: BasicRegister, second_term: BasicRegister) \
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-> tuple[BasicRegister, list[list[str]]]:
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"""
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Multiplies two terms containing binary numbers using second method.
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@@ -271,17 +278,16 @@ def binary_multiplication_method_2(first_term: BasicRegister, second_term: Basic
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:return: Register containing the product.
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:rtype: BasicRegister
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"""
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first_term, second_term = align_registers(first_term, second_term)
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n: int = len(first_term)
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rg1 = BasicRegister([False] * (2*n))
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rg2 = BasicRegister(first_term.memory)
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rg3 = BasicRegister([False] * n + list(second_term.memory))
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rg1 = BasicRegister(deque([False] * (2*n)))
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rg2 = copy.copy(first_term)
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rg3 = BasicRegister(deque([False] * n + list(second_term.memory)))
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i = 0
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data_table = [["iter", "RG1", "RG2", "RG3", "MicroOperations"]]
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data_table = [["iter", "RG1", "RG2", "RG3", "MicroOperations"], []]
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data_table.append([])
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data_table[-1].append(list(map(str, [i, rg1, rg2, rg3, "-"])))
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while any(rg2.memory):
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@@ -299,7 +305,9 @@ def binary_multiplication_method_2(first_term: BasicRegister, second_term: Basic
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return rg1, data_table
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def binary_multiplication_method_3(first_term: BasicRegister, second_term: BasicRegister) -> BasicRegister:
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def binary_multiplication_method_3(first_term: BasicRegister, second_term: BasicRegister) \
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-> tuple[BasicRegister, list[list[str]]]:
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"""
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Multiplies two terms containing binary numbers using third method.
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@@ -309,14 +317,14 @@ def binary_multiplication_method_3(first_term: BasicRegister, second_term: Basic
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:return: Register containing the product.
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:rtype: BasicRegister
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"""
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first_term, second_term = align_registers(first_term, second_term)
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n: int = len(first_term)
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data_table = [["iter", "RG2", "RG1", "RG3", "CT", "MicroOperations"]]
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rg1 = BasicRegister([False] * n)
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rg2 = BasicRegister(list(first_term.memory) + [False])
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rg3 = BasicRegister([False] * (n+1) + list(second_term.memory))
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rg1 = BasicRegister(deque([False] * n))
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rg2 = BasicRegister(first_term.memory + deque([False]))
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rg3 = BasicRegister(deque([False] * (n+1)) + second_term.memory)
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ct = Counter(n)
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i = 0
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@@ -329,8 +337,8 @@ def binary_multiplication_method_3(first_term: BasicRegister, second_term: Basic
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if rg2.memory[0]:
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result: list[bool] = list(binary_sum(BasicRegister(rg2.memory + rg1.memory), rg3).memory)
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rg2 = BasicRegister(result[:n+1])
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rg1 = BasicRegister(result[n+1:])
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rg2 = BasicRegister(deque(result[:n+1]))
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rg1 = BasicRegister(deque(result[n+1:]))
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data_table[-1].append(list(map(str, [i, rg2, rg1, rg3, ct, "RG2.RG1 := RG2.RG1 + RG3"])))
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rg2.left_shift(rg1.memory[0])
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@@ -339,9 +347,11 @@ def binary_multiplication_method_3(first_term: BasicRegister, second_term: Basic
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data_table[-1].append(list(map(str, [i, rg2, rg1, rg3, ct, "RG2.RG1 := l(RG2.RG1).0\nCT := CT - 1"])))
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return BasicRegister((list(rg2.memory) + list(rg1.memory))[:-1]), data_table
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return BasicRegister(deque(list(rg2.memory + rg1.memory)[:-1])), data_table
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def binary_multiplication_method_4(first_term: BasicRegister, second_term: BasicRegister) -> BasicRegister:
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def binary_multiplication_method_4(first_term: BasicRegister, second_term: BasicRegister) \
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-> tuple[BasicRegister, list[list[str]]]:
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"""
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Multiplies two terms containing binary numbers using fourth method.
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@@ -351,12 +361,12 @@ def binary_multiplication_method_4(first_term: BasicRegister, second_term: Basic
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:return: Register containing the product.
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:rtype: BasicRegister
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"""
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first_term, second_term = align_registers(first_term, second_term)
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n: int = len(first_term)
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rg1 = BasicRegister([False] * (2*n+1))
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rg2 = BasicRegister(first_term.memory)
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rg3 = BasicRegister([False] + list(second_term.memory) + [False] * n)
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rg1 = BasicRegister(deque([False] * (2*n+1)))
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rg2 = copy.copy(first_term)
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rg3 = BasicRegister(deque([False]) + second_term.memory + deque([False] * n))
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data_table = [["iter", "RG1", "RG2", "RG3", "MicroOperations"]]
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@@ -377,4 +387,89 @@ def binary_multiplication_method_4(first_term: BasicRegister, second_term: Basic
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data_table[-1].append(list(map(str, [i, rg1, rg2, rg3, "RG2 := l(RG2).0\nRG3 := 0.r(RG3)"])))
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return BasicRegister(list(rg1.memory)[:-1]), data_table
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return BasicRegister(deque(list(rg1.memory)[:-1])), data_table
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def binary_division_method_1(first_term: BasicRegister, second_term: BasicRegister) \
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-> tuple[BasicRegister, list[list[str]]]:
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"""
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Divides first term by the second term containing binary numbers using first method.
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:param: BasicRegister first_term: Register being divided.
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:param: BasicRegister second_term: Register being divided by.
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:return: Register containing the division result.
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:rtype: BasicRegister
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"""
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n: int = len(first_term)
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rg1 = BasicRegister(deque([False, False]) + second_term.memory)
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rg2 = BasicRegister(deque([False, False]) + first_term.memory)
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rg3 = BasicRegister(deque([True] * (n+1)))
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data_table = [["iter", "RG3", "RG2", "RG1", "MicroOperations"]]
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i = 0
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data_table.append([])
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data_table[-1].append(list(map(str, [i, rg3, rg2, rg1, "-"])))
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while rg3.memory[0]:
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i += 1
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data_table.append([])
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if rg2.memory[0]:
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rg2 = binary_sum(rg2, rg1)
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data_table[-1].append(list(map(str, [i, rg3, rg2, rg1, "RG2 := RG2 + RG1"])))
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else:
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rg2, _ = binary_subtraction_second_complement(rg2, rg1)
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data_table[-1].append(list(map(str, [i, rg3, rg2, rg1, "RG2 := RG2 - RG1"])))
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rg3.left_shift(not rg2.memory[0])
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rg2.left_shift()
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data_table[-1].append(list(map(str, [i, rg3, rg2, rg1, f"RG3 := l(RG3).!RG2[{n+2}]\nRG2 := l(RG2).0"])))
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return BasicRegister(deque(list(rg3.memory)[1:])), data_table
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def binary_division_method_2(first_term: BasicRegister, second_term: BasicRegister) \
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-> tuple[BasicRegister, list[list[str]]]:
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"""
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Divides first term by the second term containing binary numbers using second method.
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:param: BasicRegister first_term: Register being divided.
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:param: BasicRegister second_term: Register being divided by.
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:return: Register containing the division result.
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:rtype: BasicRegister
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"""
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n: int = len(first_term)
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rg1 = BasicRegister(deque([False]) + second_term.memory + deque([False]*n))
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rg2 = BasicRegister(deque([False]) + first_term.memory + deque([False]*n))
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rg3 = BasicRegister(deque([True] * (n+1)))
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data_table = [["iter", "RG3", "RG2", "RG1", "MicroOperations"]]
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i = 0
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carry = False
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data_table.append([])
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data_table[-1].append(list(map(str, [i, rg3, rg2, rg1, "-"])))
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while rg3.memory[0]:
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i += 1
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data_table.append([])
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if rg2.memory[0]:
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rg2, carry = binary_sum_with_carry(rg2, rg1)
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data_table[-1].append(list(map(str, [i, rg3, rg2, rg1, "RG2 := RG2 + RG1"])))
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else:
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rg2, carry = binary_subtraction_second_complement(rg2, rg1)
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data_table[-1].append(list(map(str, [i, rg3, rg2, rg1, "RG2 := RG2 - RG1"])))
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rg3.left_shift(carry)
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rg1.right_shift()
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data_table[-1].append(list(map(str, [i, rg3, rg2, rg1, f"RG3 := l(RG3).SM[p]\nRG1 := 0.r(RG1)"])))
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return BasicRegister(deque(list(rg3.memory)[1:])), data_table
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130
main.py
130
main.py
@@ -1,7 +1,90 @@
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import bitutilities as bu
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operation = ""
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method = ""
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user_input = []
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def process_command(symbol):
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global operation, method
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if symbol.lower() in "asmdq":
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operation = symbol
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||||
elif operation == "m" and symbol in "1234":
|
||||
method = symbol
|
||||
elif operation == "d" and symbol in "12":
|
||||
method = symbol
|
||||
elif symbol in " ;:":
|
||||
pass
|
||||
else:
|
||||
print(f"Error: unexpected instruction '{symbol}', skipping")
|
||||
|
||||
|
||||
def perform_operation(first_register: bu.BasicRegister, second_register: bu.BasicRegister):
|
||||
global operation, method
|
||||
|
||||
match operation:
|
||||
case "a":
|
||||
result, carry = bu.binary_sum_with_carry(first_register, second_register)
|
||||
print(f"\nSum: {result}\nCarry: {int(carry)}")
|
||||
operation, method = "", ""
|
||||
case "s":
|
||||
result, carry = bu.binary_subtraction_second_complement(first_register, second_register)
|
||||
print(f"\nSubtraction: {result}\nCarry: {int(carry)}")
|
||||
operation, method = "", ""
|
||||
case "m":
|
||||
match method:
|
||||
case "1":
|
||||
result, data_table = bu.binary_multiplication_method_1(first_register, second_register)
|
||||
print(f"\nMultiplication (method 1):\n{bu.format_device_state_table(data_table)}\nResult: {result}")
|
||||
operation, method = "", ""
|
||||
case "2":
|
||||
result, data_table = bu.binary_multiplication_method_2(first_register, second_register)
|
||||
print(f"\nMultiplication (method 2):\n{bu.format_device_state_table(data_table)}\nResult: {result}")
|
||||
operation, method = "", ""
|
||||
case "3":
|
||||
result, data_table = bu.binary_multiplication_method_3(first_register, second_register)
|
||||
print(f"\nMultiplication (method 3):\n{bu.format_device_state_table(data_table)}\nResult: {result}")
|
||||
operation, method = "", ""
|
||||
case "4":
|
||||
result, data_table = bu.binary_multiplication_method_4(first_register, second_register)
|
||||
print(f"\nMultiplication (method 4):\n{bu.format_device_state_table(data_table)}\nResult: {result}")
|
||||
operation, method = "", ""
|
||||
case _:
|
||||
pass
|
||||
case "d":
|
||||
match method:
|
||||
case "1":
|
||||
result, data_table = bu.binary_division_method_1(first_register, second_register)
|
||||
print(f"\nDivision (method 1):\n{bu.format_device_state_table(data_table)}\nResult: {result}")
|
||||
operation, method = "", ""
|
||||
case "2":
|
||||
result, data_table = bu.binary_division_method_2(first_register, second_register)
|
||||
print(f"\nDivision (method 2):\n{bu.format_device_state_table(data_table)}\nResult: {result}")
|
||||
operation, method = "", ""
|
||||
case _:
|
||||
pass
|
||||
case "q":
|
||||
exit(0)
|
||||
|
||||
case _:
|
||||
pass
|
||||
|
||||
|
||||
def get_prompt_text(operation: any, method: any) -> str:
|
||||
response = "({} {})"
|
||||
|
||||
if operation:
|
||||
response += " {}"
|
||||
if operation and method:
|
||||
response += "/{}"
|
||||
|
||||
return response
|
||||
|
||||
|
||||
def input_handler(first_register: bu.BasicRegister, second_register: bu.BasicRegister):
|
||||
global user_input, operation
|
||||
first_register, second_register = bu.align_registers(first_register, second_register)
|
||||
|
||||
print()
|
||||
@@ -9,38 +92,25 @@ def input_handler(first_register: bu.BasicRegister, second_register: bu.BasicReg
|
||||
print(second_register)
|
||||
|
||||
while True:
|
||||
prompt_text: str = get_prompt_text(operation, method).format(first_register, second_register, operation, method)
|
||||
print()
|
||||
match input("Choose the operation:\n[a]ddition, [s]ubtraction, [m]ultiplication, [d]ivision, [q]uit\n>>> "):
|
||||
case "a":
|
||||
print(f"Sum:\n{bu.binary_sum(first_register, second_register)}")
|
||||
case "s":
|
||||
print(f"Subtraction:\n{bu.binary_subtraction(first_register, second_register)}")
|
||||
case "m":
|
||||
match input("Choose method to use (1-4):\n>>> "):
|
||||
case "1":
|
||||
result, data_table = bu.binary_multiplication_method_1(first_register, second_register)
|
||||
print(f"Multiplication:\n{bu.format_device_state_table(data_table)}\nResult: {result}")
|
||||
case "2":
|
||||
result, data_table = bu.binary_multiplication_method_2(first_register, second_register)
|
||||
print(f"Multiplication:\n{bu.format_device_state_table(data_table)}\nResult: {result}")
|
||||
case "3":
|
||||
result, data_table = bu.binary_multiplication_method_3(first_register, second_register)
|
||||
print(f"Multiplication:\n{bu.format_device_state_table(data_table)}\nResult: {result}")
|
||||
case "4":
|
||||
result, data_table = bu.binary_multiplication_method_4(first_register, second_register)
|
||||
print(f"Multiplication:\n{bu.format_device_state_table(data_table)}\nResult: {result}")
|
||||
case _:
|
||||
print("Such method does not exist, try again.")
|
||||
case "d":
|
||||
pass
|
||||
case "q":
|
||||
exit()
|
||||
case _:
|
||||
print("Not an available operation, try again.")
|
||||
if operation == "":
|
||||
raw_user_input = input("Choose the operation:\n[a]ddition, [s]ubtraction, [m]ultiplication, [d]ivision, "
|
||||
"[q]uit\n" + prompt_text + " > ")
|
||||
elif operation == "m":
|
||||
raw_user_input = input("Choose method to use (1-4):\n" + prompt_text + " > ")
|
||||
elif operation == "d":
|
||||
raw_user_input = input("Choose method to use (1-2):\n" + prompt_text + " > ")
|
||||
|
||||
user_input = list(raw_user_input)
|
||||
|
||||
for symbol in user_input:
|
||||
process_command(symbol)
|
||||
perform_operation(first_register, second_register)
|
||||
|
||||
|
||||
if __name__ == '__main__':
|
||||
reg: bu.BasicRegister = bu.BasicRegister(bu.get_memory("memory"))
|
||||
reg2: bu.BasicRegister = bu.BasicRegister(bu.get_memory("more memory"))
|
||||
reg1: bu.BasicRegister = bu.BasicRegister(bu.get_memory("first operand"))
|
||||
reg2: bu.BasicRegister = bu.BasicRegister(bu.get_memory("second operand"))
|
||||
|
||||
input_handler(reg, reg2)
|
||||
input_handler(reg1, reg2)
|
||||
|
||||
Reference in New Issue
Block a user