Compare commits
1 Commits
| Author | SHA1 | Date | |
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| 462536043d |
@@ -75,5 +75,3 @@ def xor(x, y):
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result += '0'
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result += '0'
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return result
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return result
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else:
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pass
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@@ -1,113 +0,0 @@
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import bitutils as bu
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import math
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def to_int(x):
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return int("0b" + x, 2)
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def to_bin(x, n):
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return bu.ar(bin(x)[2:], n)
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def table_to_text(dt):
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from lib.prettytable import PrettyTable
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pt = PrettyTable()
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initial_x_length = len(dt[0][0][-1])
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final_row_length = len(dt[-1][-1])
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pt.field_names = ["Iteration"] + [f"RG{i+1}" for i in range(final_row_length)]
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for iteration, cycle in enumerate(dt):
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for operation_id, row in enumerate(cycle):
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complete_row = [iteration] + ['']*(final_row_length-len(row)) + row[:-1] + [bu.al(row[-1], initial_x_length)]
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#print(complete_row)
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if operation_id+1 == len(cycle):
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pt.add_row(complete_row, divider = True)
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else:
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pt.add_row(complete_row)
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return pt.get_string()
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def binary_to_ddk(k, x):
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required_register_size = math.ceil(math.log(k, 2))
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required_shift = to_bin(2**required_register_size - k, required_register_size)
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#print(f"math.log(k, 2): {math.log(k, 2)}")
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#print(f"k: {k}, x: {x}")
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#print(f"RRS: {required_register_size}, RS: {required_shift}")
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# data table for logging registers
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ddk_rg = ["0"*required_register_size]
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device_states_log = []
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x = str(x)
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while len(x) != 0:
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#print(f"Iter: DDK_RG: {ddk_rg}")
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# start new logging section
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device_states_log.append([])
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# increasing registers amount if required
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if ddk_rg[0][0] == '1':
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ddk_rg.insert(0, "0"*required_register_size)
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# reset force corrections
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force_correction = [False]*len(ddk_rg)
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device_states_log[-1].append(ddk_rg + [x]) # log
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# shift left all registers
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# iterating over registers from left to right
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for i, rg in list(enumerate(ddk_rg))[:-1]:
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force_correction[i+1] = bool(int(ddk_rg[i+1][0]))
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ddk_rg[i] = bu.l(ddk_rg[i], ddk_rg[i+1][0])
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#if do_correction:
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# ddk_rg[i+1] = bu.sum(ddk_rg[i+1], required_shift, required_register_size)
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ddk_rg[-1] = bu.l(ddk_rg[-1], x[0])
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x = bu.l(x, '')
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device_states_log[-1].append(ddk_rg + [x]) # log
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# correct errors where needed
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# iterating over registers from right to left
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#print(ddk_rg)
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for i, rg in list(enumerate(ddk_rg))[1:][::-1]:
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#print(f"Correcting errors for: {rg} (i={i})")
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if force_correction[i]:
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ddk_rg[i] = bu.rsum(ddk_rg[i], required_shift, required_register_size)
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if to_int(rg) >= k:
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ddk_rg[i] = bu.rsum(ddk_rg[i], required_shift, required_register_size)
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ddk_rg[i-1] = bu.rsum(ddk_rg[i-1], '1', required_register_size)
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# special correction for first register
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if to_int(ddk_rg[0]) >= k:
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#print("Special correction triggered!")
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ddk_rg[0] = bu.rsum(ddk_rg[0], required_shift, required_register_size)
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ddk_rg.insert(0, "0"*(required_register_size-1) + '1')
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device_states_log[-1].append(ddk_rg + [x]) # log
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formatted_result = ""
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for i in ddk_rg:
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digit = to_int(i)
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if digit <= 9:
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formatted_result += str(digit)
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else:
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formatted_result += chr(digit-10 + 65)
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return device_states_log, ddk_rg, formatted_result
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if __name__ == "__main__":
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x = input("Enter x: ")
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k = int(input("Enter k: "))
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dt, result, formatted_result = binary_to_ddk(k, x)
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print(table_to_text(dt))
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print(f"Result: {result}")
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print(f"Formatted result: {formatted_result}")
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@@ -1,129 +0,0 @@
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# a wrapper for division script which adds support for floating point numbers
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from lib.prettytable import PrettyTable
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from divide import divide, table_to_text
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import bitutils as bu
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def get_reference_register_size(*numbers):
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return max(map(len, numbers))
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def parse_float(number):
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split_by_dot = number.split('.')
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Sn = split_by_dot[0] # sign
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split_by_comma = split_by_dot[1].split(',')
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Pn = len(split_by_comma[0].lstrip('0'))
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Mn = ''.join(split_by_comma).lstrip('0')
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return Sn, Pn, Mn
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def to_int(number):
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return int("0b" + number, 2)
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def normalize_mantice(m, n):
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M_norm = m.lstrip('0')
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P_delta = len(m) - len(M_norm)
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print(f"Normalize: {m} -> {M_norm} (shifted right {P_delta} times)")
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return M_norm[:n], P_delta
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def round_mantice(m, n):
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closest_upper = bu.sum(m[:n+1], '1', n+1)
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return closest_upper[:n]
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def print_classic_float(label, Sn, Pn, Mn):
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pt = PrettyTable()
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pt.field_names = [f"S{label}", f"P{label}", f"M{label}"]
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pt.add_row([Sn, bin(Pn).lstrip('-')[2:], Mn])
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print(pt)
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def print_shortened_float(label, Sn, Pn, Mn):
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mutable_mantice = list(Mn)
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P = Pn
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while P < 0:
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mutable_mantice.insert(0, '0')
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P += 1
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if P > len(mutable_mantice):
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for i in range(len(mutable_mantice), P+1):
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mutable_mantice.insert(i, '0')
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mutable_mantice.insert(P, ',')
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result_string = ''.join(mutable_mantice)
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print(f"{Sn}.{result_string}".replace(".,", ".0,"))
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def divide_float(x, y, method, n = 0, verbose = False):
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Sx, Px, Mx = parse_float(x)
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Sy, Py, My = parse_float(y)
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print(f"Число X:\n" \
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f"Знак мантиси: {Sx}\n" \
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f"Порядок: {Px}\n" \
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f"Мантиса: {Mx}\n")
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print(f"Число Y:\n" \
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f"Знак мантиси: {Sy}\n" \
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f"Порядок: {Py}\n" \
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f"Мантиса: {My}")
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'''
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while to_int(Mx) >= to_int(My):
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print(f"Mx >= My ({Mx} >= {My}), тому зсуваємо Mx на один розряд праворуч і збільшуємо порядок числа X")
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Mx = '0' + Mx
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Px += 1
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'''
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Mx = Mx.rstrip("0")
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My = My.rstrip("0")
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print("Запис чисел у класичному форматі:")
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print_classic_float('x', Sx, Px, Mx)
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print()
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print_classic_float('y', Sy, Py, My)
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print()
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#reg_size = get_reference_register_size(Mx, My)
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while to_int(Mx) >= to_int(My):
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print(f"Mx >= My ({Mx} >= {My}), тому зсуваємо Mx на один розряд праворуч і збільшуємо порядок числа X")
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Mx = '0' + Mx
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My = My + '0'
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Px += 1
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if n == 0:
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reg_size = get_reference_register_size(Mx, My)
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print(f"n = 0, отже довжина регістрів обирається автоматично ({reg_size})")
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else:
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reg_size = n
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table, result = divide(reg_size, to_int(bu.al(Mx, reg_size)), to_int(bu.al(My, reg_size)), method)
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print(f"Процес ділення методом #{method}:\n{table_to_text(table)}\n")
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print("Маємо результат:")
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S_result = bu.xor(Sx, Sy)
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print(f"Знаковий розряд: {Sx} ⊕ {Sy} = {S_result}")
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M_norm, P_delta = normalize_mantice(result, n+1)
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print(f"Нормалізована мантиса: ,{M_norm}")
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P_result = Px - Py - P_delta
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print(f"Порядок: {Px} + {Py} - {P_delta} = {P_result}")
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M_result = round_mantice(bu.al(result, n+1), n+1)
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print(f"Округлюємо мантису до {reg_size} розрядів: ,{M_result}")
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return S_result, P_result, M_result
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if __name__ == "__main__":
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start_x = input("X: ")
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start_y = input("Y: ")
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n = int(input("n: "))
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method = int(input("Method: "))
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S_result, P_result, M_result = divide_float(start_x, start_y, method, n)
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print(f"Запишемо результат у вигляді таблиці:")
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print_classic_float('f', S_result, P_result, M_result)
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print("І отримуємо остаточне число після ділення:")
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print_shortened_float('F', S_result, P_result, M_result)
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@@ -3,16 +3,16 @@ import bitutils as bu
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def divide(n, int_x, int_y, method):
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def divide(n, int_x, int_y, method):
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if method == 1:
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if method == 1:
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# getting binary values
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# getting binary values
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x = bu.ar(bin(int_x)[2:], n+2)
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x = bu.ar(bin(int_x)[2:], n)
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y = bu.ar(bin(int_y)[2:], n+2)
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y = bu.ar(bin(int_y)[2:], n)
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# getting the supplementary code of X
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# getting the supplementary code of X
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y_inv = "".join([bu.inv(i) for i in y]) # invert
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y_inv = "".join([bu.inv(i) for i in y]) # invert
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y_inv = bu.sum(y_inv, '1', n+2) # +1
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y_inv = bu.sum(y_inv, '1', n) # +1
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# writing startup register values
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# writing startup register values
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# registers order: RG3, RG2, RG1
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# registers order: RG3, RG2, RG1
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rg_table = [[['start', '1'*(n+1), x, y, '-'], ['start', '1'*(n+1), x, y_inv, '-']]]
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rg_table = [[['start', '1'*(n-1), x, y, '-'], ['start', '1'*(n-1), x, y_inv, '-']]]
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# iterations counter
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# iterations counter
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i = 0
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i = 0
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@@ -25,7 +25,7 @@ def divide(n, int_x, int_y, method):
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rg_table[-1].append([
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rg_table[-1].append([
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i,
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i,
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rg_table[-2][-1][1], # copy previous value
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rg_table[-2][-1][1], # copy previous value
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bu.sum(rg_table[-2][-1][2], rg_table[0][0][3], n+2), # RG2 := RG2 + RG1
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bu.sum(rg_table[-2][-1][2], rg_table[0][0][3], n), # RG2 := RG2 + RG1
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'-',
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'-',
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"RG2 := RG2 + RG1"
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"RG2 := RG2 + RG1"
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])
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])
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@@ -33,7 +33,7 @@ def divide(n, int_x, int_y, method):
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rg_table[-1].append([
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rg_table[-1].append([
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i,
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i,
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rg_table[-2][-1][1], # copy previous value
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rg_table[-2][-1][1], # copy previous value
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bu.sum(rg_table[-2][-1][2], rg_table[0][1][3], n+2), # RG2 := RG2 - RG1
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bu.sum(rg_table[-2][-1][2], rg_table[0][1][3], n), # RG2 := RG2 - RG1
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'-',
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'-',
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"RG2 := RG2 - RG1"
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"RG2 := RG2 - RG1"
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])
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])
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@@ -104,29 +104,11 @@ def divide(n, int_x, int_y, method):
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return rg_table, rg_table[-1][-1][1][1:]
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return rg_table, rg_table[-1][-1][1][1:]
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def table_to_text(dt):
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from lib.prettytable import PrettyTable
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pt = PrettyTable()
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pt.field_names = ["Iteration", "RG3", "RG2", "RG1", "Operations"]
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for i in dt:
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for j in range(len(i)):
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if j+1 == len(i):
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pt.add_row(i[j], divider = True)
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else:
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pt.add_row(i[j])
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return pt.get_string()
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if __name__ == "__main__":
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if __name__ == "__main__":
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# a fully functional reference
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# a fully functional reference
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# implementation for this library
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# implementation for this library
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# is provided below
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# is provided below
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# usage change of method #1
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print("УВАГА! Для першого методу додавати два нулі перед числом БІЛЬШЕ НЕ ПОТРІБНО!\n"
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"(це попередження буде прибрано у майбутніх версіях, вводьте числа уважно)")
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raw_x = input("X: ")
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raw_x = input("X: ")
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raw_y = input("Y: ")
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raw_y = input("Y: ")
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@@ -142,5 +124,16 @@ if __name__ == "__main__":
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dt, result = divide(n, x, y, method)
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dt, result = divide(n, x, y, method)
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print(table_to_text(dt))
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from lib.prettytable import PrettyTable
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pt = PrettyTable()
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pt.field_names = ["Iteration", "RG3", "RG2", "RG1", "Operations"]
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for i in dt:
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for j in range(len(i)):
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if j+1 == len(i):
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pt.add_row(i[j], divider = True)
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else:
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pt.add_row(i[j])
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print(pt)
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print(f"Result: {result}")
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print(f"Result: {result}")
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@@ -1,92 +0,0 @@
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# a wrapper for multiplication script which adds support for floating point numbers
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||||||
|
|
||||||
from lib.prettytable import PrettyTable
|
|
||||||
from multiply import multiply, table_to_text
|
|
||||||
import bitutils as bu
|
|
||||||
|
|
||||||
def get_reference_register_size(*numbers):
|
|
||||||
return max(map(len, numbers))
|
|
||||||
|
|
||||||
def parse_float(number):
|
|
||||||
split_by_dot = number.split('.')
|
|
||||||
#print(number, split_by_dot)
|
|
||||||
Sn = split_by_dot[0] # sign
|
|
||||||
|
|
||||||
split_by_comma = split_by_dot[1].split(',')
|
|
||||||
Pn = len(split_by_comma[0].lstrip('0'))
|
|
||||||
Mn = ''.join(split_by_comma).lstrip('0')
|
|
||||||
#print(Sn, Pn, Mn)
|
|
||||||
return Sn, Pn, Mn
|
|
||||||
|
|
||||||
# compatibility layer for old multiply.py code
|
|
||||||
def to_int(number):
|
|
||||||
return int("0b" + number, 2)
|
|
||||||
|
|
||||||
def normalize_mantice(m, n):
|
|
||||||
M_norm = m.lstrip('0')
|
|
||||||
#print(m, M_norm)
|
|
||||||
P_delta = len(m) - len(M_norm)
|
|
||||||
#print(M_norm[:n], P_delta)
|
|
||||||
return M_norm[:n], P_delta
|
|
||||||
|
|
||||||
def round_mantice(m, n):
|
|
||||||
closest_upper = bu.sum(m[:n+1], '1', n+1)
|
|
||||||
return closest_upper[:n]
|
|
||||||
|
|
||||||
def print_classic_float(label, Sn, Pn, Mn):
|
|
||||||
pt = PrettyTable()
|
|
||||||
pt.field_names = [f"S{label}", f"P{label}", f"M{label}"]
|
|
||||||
pt.add_row([Sn, bin(Pn)[2:], Mn])
|
|
||||||
print(pt)
|
|
||||||
|
|
||||||
def multiply_float(x, y, method, n = 0, verbose = False):
|
|
||||||
Sx, Px, Mx = parse_float(x)
|
|
||||||
Sy, Py, My = parse_float(y)
|
|
||||||
|
|
||||||
print(f"Число X:\n" \
|
|
||||||
f"Знак мантиси: {Sx}\n" \
|
|
||||||
f"Порядок: {Px}\n" \
|
|
||||||
f"Мантиса: {Mx}\n")
|
|
||||||
|
|
||||||
print(f"Число Y:\n" \
|
|
||||||
f"Знак мантиси: {Sy}\n" \
|
|
||||||
f"Порядок: {Py}\n" \
|
|
||||||
f"Мантиса: {My}")
|
|
||||||
|
|
||||||
print("Запис чисел у класичному форматі:")
|
|
||||||
print_classic_float('x', Sx, Px, Mx)
|
|
||||||
print()
|
|
||||||
print_classic_float('y', Sy, Py, My)
|
|
||||||
print()
|
|
||||||
|
|
||||||
reg_size = get_reference_register_size(Mx, My)
|
|
||||||
|
|
||||||
table, result = multiply(n, to_int(bu.al(Mx, n)), to_int(bu.al(My, n)), method)
|
|
||||||
print(f"Процес множення другим методом:\n{table_to_text(table)}\n")
|
|
||||||
|
|
||||||
print("Маємо результат:")
|
|
||||||
|
|
||||||
S_result = bu.xor(Sx, Sy)
|
|
||||||
print(f"Знаковий розряд: {Sx} ^ {Sy} = {S_result}")
|
|
||||||
|
|
||||||
M_norm, P_delta = normalize_mantice(result, n+1)
|
|
||||||
print(f"Нормалізована мантиса: ,{M_norm}")
|
|
||||||
|
|
||||||
P_result = Px + Py - P_delta
|
|
||||||
print(f"Порядок: {Px} + {Py} - {P_delta} = {P_result}")
|
|
||||||
|
|
||||||
M_result = round_mantice(result, n)
|
|
||||||
print(f"Округлюємо мантису до {n} розрядів: ,{M_result}")
|
|
||||||
|
|
||||||
return S_result, P_result, M_result
|
|
||||||
|
|
||||||
if __name__ == "__main__":
|
|
||||||
start_x = input("X: ")
|
|
||||||
start_y = input("Y: ")
|
|
||||||
n = int(input("n: "))
|
|
||||||
method = int(input("Method: "))
|
|
||||||
|
|
||||||
S_result, P_result, M_result = multiply_float(start_x, start_y, method, n)
|
|
||||||
|
|
||||||
print(f"Запишемо результат у вигляді таблиці:")
|
|
||||||
print_classic_float('f', S_result, P_result, M_result)
|
|
||||||
@@ -1 +0,0 @@
|
|||||||
../ddk_converter.py
|
|
||||||
@@ -1,27 +0,0 @@
|
|||||||
import os
|
|
||||||
import sys
|
|
||||||
|
|
||||||
from ddk_converter import binary_to_ddk, table_to_text
|
|
||||||
|
|
||||||
print(os.environ, file = sys.stderr)
|
|
||||||
|
|
||||||
raw_params = list(map(lambda x: x.split("="), os.environ['QUERY_STRING'].split("&")))
|
|
||||||
baked_params = {k:v for (k, v) in raw_params}
|
|
||||||
bp = baked_params
|
|
||||||
|
|
||||||
if all([i in bp for i in ('x', 'k', 'op')]):
|
|
||||||
x = bp['x']
|
|
||||||
k = int(bp['k'])
|
|
||||||
|
|
||||||
if bp['op'] == "binary-ddk":
|
|
||||||
dt, result, formatted_result = binary_to_ddk(k, x)
|
|
||||||
|
|
||||||
print(f"Content-Type: text/plain; charset=UTF-8\n"
|
|
||||||
f"\n"
|
|
||||||
f"{table_to_text(dt)}\n"
|
|
||||||
f"Result: {result}\n"
|
|
||||||
f"Formatted result: {formatted_result}")
|
|
||||||
else:
|
|
||||||
print("Content-Type: text/plain; charset=UTF-8\r\n\r\nThis operation is not supported yet")
|
|
||||||
else:
|
|
||||||
print("Content-Type: text/plain; charset=UTF-8\r\n\r\nCheck your input!")
|
|
||||||
Reference in New Issue
Block a user