6 Commits

2 changed files with 159 additions and 58 deletions

View File

@@ -1,4 +1,6 @@
from collections import deque
from typing import Tuple, List, Any
from typing_extensions import Self
from lib.prettytable import PrettyTable
@@ -10,8 +12,8 @@ class BasicRegister:
:param deque[bool] memory: The bits stored inside the register.
"""
def __init__(self, memory: list[bool]):
self.memory: deque[bool] = deque(memory)
def __init__(self, memory: deque[bool]):
self.memory: deque[bool] = memory
def __repr__(self) -> str:
return "".join([str(int(value)) for value in self.memory])
@@ -33,18 +35,18 @@ class BasicRegister:
"""
current_memory_size: int = len(self.memory)
return BasicRegister(
[False] * max(resulting_size - current_memory_size, 0) + list(self.memory)[-resulting_size:]
deque([False] * max(resulting_size - current_memory_size, 0) + list(self.memory)[-resulting_size:])
)
def reverse(self):
def negate(self):
"""
Performs a logical negation on the register.
Performs logical negation on the register.
"""
self.memory = deque([not value for value in self.memory])
def left_shift(self, shift_in_value: bool = False, bits_shifted: int = 1) -> deque[bool]:
"""
Shifts the register to the left by a specified number of steps
Shifts the register to the left by a specified number of steps.
:param bool shift_in_value: The value that shifts inside the freed space.
:param int bits_shifted: The number of bits by which the register is shifted.
@@ -71,7 +73,7 @@ class BasicRegister:
return shifted_bits
class Counter:
class Counter(BasicRegister):
"""
The Counter represents a hardware register specifically designed for countdowns.
@@ -79,7 +81,9 @@ class Counter:
"""
def __init__(self, value: int):
self.memory: deque[bool] = deque([i == "1" for i in bin(value)[2:]])
# memory: deque[bool] = deque([i == "1" for i in bin(value)[2:]])
super().__init__(deque([i == "1" for i in bin(value)[2:]]))
# self.memory: deque[bool] = deque([i == "1" for i in bin(value)[2:]])
def __repr__(self) -> str:
return "".join([str(int(value)) for value in self.memory])
@@ -91,13 +95,13 @@ class Counter:
return len(self.memory)
def decrement(self):
self.memory = binary_subtraction(self, BasicRegister([False] * (len(self.memory) - 1) + [True])).memory
self.memory = binary_subtraction(self, BasicRegister(deque([False] * (len(self.memory) - 1) + [True]))).memory
def non_zero(self) -> bool:
return any(self.memory)
def get_memory(variable_name: str) -> list[bool]:
def get_memory(variable_name: str) -> deque[bool]:
"""
Reads user input to be used as a memory array.
@@ -110,7 +114,7 @@ def get_memory(variable_name: str) -> list[bool]:
input_chars: list[str] = list(input(f"Enter {variable_name}: "))
if all(character in ["0", "1"] for character in input_chars):
return [True if character == "1" else False for character in input_chars]
return deque([True if character == "1" else False for character in input_chars])
else:
print(f"[ERROR] The {variable_name} may contain only 1-s and 0-s!")
@@ -125,7 +129,7 @@ def binary_sum_with_carry(first_term: BasicRegister, second_term: BasicRegister)
:return: Register containing the sum and the carry-out bit.
:rtype: tuple[BasicRegister, int]
"""
result_term = BasicRegister([False] * len(first_term))
result_term = BasicRegister(deque([False] * len(first_term)))
carry = False
for i in range(len(first_term) - 1, -1, -1):
@@ -159,39 +163,41 @@ def binary_subtraction(minuend: BasicRegister, subtrahend: BasicRegister) -> Bas
:return: Register containing the difference.
:rtype: BasicRegister
"""
subtrahend.reverse()
subtrahend = BasicRegister(subtrahend.memory)
subtrahend.negate()
difference: BasicRegister
final_carry: bool
difference, final_carry = binary_sum_with_carry(minuend, subtrahend)
if final_carry:
return binary_sum(difference, BasicRegister([False] * (len(difference) - 1) + [True]))
return binary_sum(difference, BasicRegister(deque([False] * (len(difference) - 1) + [True])))
else:
difference.reverse()
difference.negate()
return difference
# def align_registers(first_register: BasicRegister, second_register: BasicRegister) \
# -> tuple[BasicRegister, BasicRegister]:
# """
# Aligns two registers by the length of the bigger one.
#
# :param BasicRegister first_register:
# :param BasicRegister second_register:
#
# :return:
# :rtype: tuple[BasicRegister, BasicRegister]
# """
# first_size = len(first_register)
# second_size = len(second_register)
#
# required_size = max(first_size, second_size)
#
# if first_size != second_size:
# return first_register.adjusted_by_size(required_size), second_register.adjusted_by_size(required_size)
# else:
# return first_register, second_register
def binary_subtraction_second_complement(minuend: BasicRegister, subtrahend: BasicRegister) \
-> tuple[BasicRegister, bool]:
"""
Subtracts the second term from the first in binary using seconds' complement.
:param BasicRegister minuend: Register to subtract from.
:param BasicRegister subtrahend: Register to subtract by.
:return: Register containing the difference.
:rtype: BasicRegister
"""
subtrahend = BasicRegister(subtrahend.memory)
subtrahend.negate()
subtrahend = binary_sum(*align_registers(subtrahend, BasicRegister([True])))
difference: BasicRegister
final_carry: bool
difference, final_carry = binary_sum_with_carry(minuend, subtrahend)
return difference, final_carry
def align_registers(*registers: BasicRegister) -> tuple[BasicRegister, ...]:
@@ -214,12 +220,13 @@ def format_device_state_table(table) -> str:
for block in table[1:]:
for line in block[:-1]:
pt.add_row(line)
pt.add_row(block[-1], divider = True)
pt.add_row(block[-1], divider=True)
return pt.get_string()
def binary_multiplication_method_1(first_term: BasicRegister, second_term: BasicRegister) -> BasicRegister:
def binary_multiplication_method_1(first_term: BasicRegister, second_term: BasicRegister) \
-> tuple[BasicRegister, list[list[str]]]:
"""
Multiplies two terms containing binary numbers using first method.
@@ -232,7 +239,7 @@ def binary_multiplication_method_1(first_term: BasicRegister, second_term: Basic
first_term, second_term = align_registers(first_term, second_term)
n: int = len(first_term)
rg1 = BasicRegister([False] * n)
rg1 = BasicRegister(deque([False] * n))
rg2 = BasicRegister(first_term.memory)
rg3 = BasicRegister(second_term.memory)
ct = Counter(n)
@@ -255,13 +262,13 @@ def binary_multiplication_method_1(first_term: BasicRegister, second_term: Basic
rg1.right_shift()
ct.decrement()
print(ct.memory)
data_table[-1].append(list(map(str, [i, rg1, rg2, rg3, ct, "RG2 := RG1[1].r(RG2)\nRG1 := 0.r(RG1)\nCT := CT - 1"])))
return BasicRegister(list(rg1.memory) + list(rg2.memory)), data_table
return BasicRegister(rg1.memory + rg2.memory), data_table
def binary_multiplication_method_2(first_term: BasicRegister, second_term: BasicRegister) -> BasicRegister:
def binary_multiplication_method_2(first_term: BasicRegister, second_term: BasicRegister) \
-> tuple[BasicRegister, list[list[str]]]:
"""
Multiplies two terms containing binary numbers using second method.
@@ -274,14 +281,13 @@ def binary_multiplication_method_2(first_term: BasicRegister, second_term: Basic
first_term, second_term = align_registers(first_term, second_term)
n: int = len(first_term)
rg1 = BasicRegister([False] * (2*n))
rg1 = BasicRegister(deque([False] * (2*n)))
rg2 = BasicRegister(first_term.memory)
rg3 = BasicRegister([False] * n + list(second_term.memory))
rg3 = BasicRegister(deque([False] * n + list(second_term.memory)))
i = 0
data_table = [["iter", "RG1", "RG2", "RG3", "MicroOperations"]]
data_table = [["iter", "RG1", "RG2", "RG3", "MicroOperations"], []]
data_table.append([])
data_table[-1].append(list(map(str, [i, rg1, rg2, rg3, "-"])))
while any(rg2.memory):
@@ -299,7 +305,9 @@ def binary_multiplication_method_2(first_term: BasicRegister, second_term: Basic
return rg1, data_table
def binary_multiplication_method_3(first_term: BasicRegister, second_term: BasicRegister) -> BasicRegister:
def binary_multiplication_method_3(first_term: BasicRegister, second_term: BasicRegister) \
-> tuple[BasicRegister, list[list[str]]]:
"""
Multiplies two terms containing binary numbers using third method.
@@ -314,9 +322,9 @@ def binary_multiplication_method_3(first_term: BasicRegister, second_term: Basic
data_table = [["iter", "RG2", "RG1", "RG3", "CT", "MicroOperations"]]
rg1 = BasicRegister([False] * n)
rg2 = BasicRegister(list(first_term.memory) + [False])
rg3 = BasicRegister([False] * (n+1) + list(second_term.memory))
rg1 = BasicRegister(deque([False] * n))
rg2 = BasicRegister(first_term.memory + deque([False]))
rg3 = BasicRegister(deque([False] * (n+1)) + second_term.memory)
ct = Counter(n)
i = 0
@@ -329,8 +337,8 @@ def binary_multiplication_method_3(first_term: BasicRegister, second_term: Basic
if rg2.memory[0]:
result: list[bool] = list(binary_sum(BasicRegister(rg2.memory + rg1.memory), rg3).memory)
rg2 = BasicRegister(result[:n+1])
rg1 = BasicRegister(result[n+1:])
rg2 = BasicRegister(deque(result[:n+1]))
rg1 = BasicRegister(deque(result[n+1:]))
data_table[-1].append(list(map(str, [i, rg2, rg1, rg3, ct, "RG2.RG1 := RG2.RG1 + RG3"])))
rg2.left_shift(rg1.memory[0])
@@ -339,9 +347,11 @@ def binary_multiplication_method_3(first_term: BasicRegister, second_term: Basic
data_table[-1].append(list(map(str, [i, rg2, rg1, rg3, ct, "RG2.RG1 := l(RG2.RG1).0\nCT := CT - 1"])))
return BasicRegister((list(rg2.memory) + list(rg1.memory))[:-1]), data_table
return BasicRegister(deque(list(rg2.memory + rg1.memory)[:-1])), data_table
def binary_multiplication_method_4(first_term: BasicRegister, second_term: BasicRegister) -> BasicRegister:
def binary_multiplication_method_4(first_term: BasicRegister, second_term: BasicRegister) \
-> tuple[BasicRegister, list[list[str]]]:
"""
Multiplies two terms containing binary numbers using fourth method.
@@ -354,9 +364,9 @@ def binary_multiplication_method_4(first_term: BasicRegister, second_term: Basic
first_term, second_term = align_registers(first_term, second_term)
n: int = len(first_term)
rg1 = BasicRegister([False] * (2*n+1))
rg1 = BasicRegister(deque([False] * (2*n+1)))
rg2 = BasicRegister(first_term.memory)
rg3 = BasicRegister([False] + list(second_term.memory) + [False] * n)
rg3 = BasicRegister(deque([False]) + second_term.memory + deque([False] * n))
data_table = [["iter", "RG1", "RG2", "RG3", "MicroOperations"]]
@@ -377,4 +387,89 @@ def binary_multiplication_method_4(first_term: BasicRegister, second_term: Basic
data_table[-1].append(list(map(str, [i, rg1, rg2, rg3, "RG2 := l(RG2).0\nRG3 := 0.r(RG3)"])))
return BasicRegister(list(rg1.memory)[:-1]), data_table
return BasicRegister(deque(list(rg1.memory)[:-1])), data_table
def binary_division_method_1(first_term: BasicRegister, second_term: BasicRegister) \
-> tuple[BasicRegister, list[list[str]]]:
"""
Divides first term by the second term containing binary numbers using first method.
:param: BasicRegister first_term: Register being divided.
:param: BasicRegister second_term: Register being divided by.
:return: Register containing the division result.
:rtype: BasicRegister
"""
first_term, second_term = align_registers(first_term, second_term)
n: int = len(first_term)
rg1 = BasicRegister(deque([False, False]) + second_term.memory)
rg2 = BasicRegister(deque([False, False]) + first_term.memory)
rg3 = BasicRegister(deque([True] * (n+1)))
data_table = [["iter", "RG3", "RG2", "RG1", "MicroOperations"]]
i = 0
data_table.append([])
data_table[-1].append(list(map(str, [i, rg3, rg2, rg1, "-"])))
while rg3.memory[0]:
i += 1
data_table.append([])
if rg2.memory[0]:
rg2 = binary_sum(rg2, rg1)
data_table[-1].append(list(map(str, [i, rg3, rg2, rg1, "RG2 := RG2 + RG1"])))
else:
rg2, _ = binary_subtraction_second_complement(rg2, rg1)
data_table[-1].append(list(map(str, [i, rg3, rg2, rg1, "RG2 := RG2 - RG1"])))
rg3.left_shift(not rg2.memory[0])
rg2.left_shift()
data_table[-1].append(list(map(str, [i, rg3, rg2, rg1, f"RG3 := l(RG3).!RG2[{n+2}]\nRG2 := l(RG2).0"])))
return BasicRegister(deque(list(rg3.memory)[1:])), data_table
def binary_division_method_2(first_term: BasicRegister, second_term: BasicRegister) \
-> tuple[BasicRegister, list[list[str]]]:
"""
Divides first term by the second term containing binary numbers using second method.
:param: BasicRegister first_term: Register being divided.
:param: BasicRegister second_term: Register being divided by.
:return: Register containing the division result.
:rtype: BasicRegister
"""
first_term, second_term = align_registers(first_term, second_term)
n: int = len(first_term)
rg1 = BasicRegister(deque([False]) + second_term.memory + deque([False]*n))
rg2 = BasicRegister(deque([False]) + first_term.memory + deque([False]*n))
rg3 = BasicRegister(deque([True] * (n+1)))
data_table = [["iter", "RG3", "RG2", "RG1", "MicroOperations"]]
i = 0
carry = False
data_table.append([])
data_table[-1].append(list(map(str, [i, rg3, rg2, rg1, "-"])))
while rg3.memory[0]:
i += 1
data_table.append([])
if rg2.memory[0]:
rg2, carry = binary_sum_with_carry(rg2, rg1)
data_table[-1].append(list(map(str, [i, rg3, rg2, rg1, "RG2 := RG2 + RG1"])))
else:
rg2, carry = binary_subtraction_second_complement(rg2, rg1)
data_table[-1].append(list(map(str, [i, rg3, rg2, rg1, "RG2 := RG2 - RG1"])))
rg3.left_shift(carry)
rg1.right_shift()
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

View File

@@ -32,7 +32,13 @@ def input_handler(first_register: bu.BasicRegister, second_register: bu.BasicReg
case _:
print("Such method does not exist, try again.")
case "d":
pass
match input("Choose method to use (1-2):\n>>> "):
case "1":
result, data_table = bu.binary_division_method_1(first_register, second_register)
print(f"Division:\n{bu.format_device_state_table(data_table)}\nResult: {result}")
case "2":
result, data_table = bu.binary_division_method_2(first_register, second_register)
print(f"Division:\n{bu.format_device_state_table(data_table)}\nResult: {result}")
case "q":
exit()
case _: