#!/usr/bin/python3 import sys from typing import Sequence from unittest import result import numpy import time def overlap(arg1: str, arg2: str) -> str: overlap_result = '' arg1_as_string = str(arg1) arg1_integer_part = arg1_as_string arg1_decimal_part = '' arg1_is_full_integer = True arg1_is_negative = True if arg1_integer_part.startswith('-') else False try: arg1_integer_part, arg1_decimal_part = arg1_as_string.split(".") if arg1_decimal_part==len(arg1_decimal_part)*'0': arg1_is_full_integer = True else: arg1_is_full_integer = False except: pass#nothing to do if arg1_is_negative: arg1_integer_part = arg1_integer_part.replace('-', '') # transform arg2 to string if not already in string and test if it's a full integer (without decimal part or decimal part equals zero) arg2_as_string = str(arg2) arg2_integer_part = arg2_as_string arg2_decimal_part = '' arg2_is_full_integer = True arg2_is_negative = True if arg2_integer_part.startswith('-') else False try: arg2_integer_part, arg2_decimal_part = arg2_as_string.split(".") if arg2_decimal_part==len(arg2_decimal_part)*'0': arg2_is_full_integer = True else: arg2_is_full_integer = False except: pass#nothing to do if arg2_is_negative: arg2_integer_part = arg2_integer_part.replace('-', '') # making integer and decimal parts same size max_integer_part_size = max( len(arg1_integer_part), len(arg2_integer_part) ) arg1_integer_part = '0'*(max_integer_part_size-len(arg1_integer_part)) + arg1_integer_part arg2_integer_part = '0'*(max_integer_part_size-len(arg2_integer_part)) + arg2_integer_part #--------- max_decimal_part_size = max(len(arg1_decimal_part),len(arg2_decimal_part)) arg1_decimal_part = arg1_decimal_part + '0'*(max_decimal_part_size-len(arg1_decimal_part)) arg2_decimal_part = arg2_decimal_part + '0'*(max_decimal_part_size-len(arg2_decimal_part)) #--------- if not(arg1_is_negative) and arg2_is_negative: #arg1 positive - arg2 negative overlap_result += "1" elif not(arg1_is_negative) and not(arg2_is_negative): #arg1 positive - arg2 positive overlap_result += "2" elif arg1_is_negative and not(arg2_is_negative): #arg1 negative - arg2 positive overlap_result += "3" elif arg1_is_negative and arg2_is_negative: #arg1 negative - arg2 negative overlap_result += "4" #--------- for index in range(max_integer_part_size): overlap_result += arg1_integer_part[index] overlap_result += arg2_integer_part[index] if not(arg1_is_full_integer) or not(arg2_is_full_integer): overlap_result += "." for index in range(max_decimal_part_size): overlap_result += arg1_decimal_part[index] overlap_result += arg2_decimal_part[index] return overlap_result def unoverlap(arg: str) -> Sequence[str]: arg1 = '' #for stocking unoverlapped values arg2 = '' arg_as_string = str(arg) arg_is_full_integer = True try: arg_integer_part, arg_decimal_part = arg_as_string.split(".") if arg_decimal_part==len(arg_decimal_part)*'0': arg_is_full_integer = True else: arg_is_full_integer = False except: pass#nothing to do if arg_integer_part[0]=="1": #arg1 must be positive - arg2 must be negative arg2 += '-' elif arg_integer_part[0]=="2": #arg1 must be positive - arg2 must be positive pass elif arg_integer_part[0]=="3": #arg1 must be negative - arg2 must be positive arg1 += '-' elif arg_integer_part[0]=="4": #arg1 must be negative - arg2 must be negative arg1 += '-' arg2 += '-' arg_integer_part = arg_integer_part[1:] #ignoring signs' digit now as it's already used for index in range(len(arg_integer_part)): if index%2==0: arg1 += arg_integer_part[index] else: arg2 += arg_integer_part[index] if not(arg_is_full_integer): arg1 += '.' arg2 += '.' for index in range(len(arg_decimal_part)): if index%2==0: arg1 += arg_decimal_part[index] else: arg2 += arg_decimal_part[index] arg1 = good_format(arg1) arg2 = good_format(arg2) return arg1, arg2 def sb_addition(arg1: str, arg2: str) -> str: result = '' # the addition will be a substraction if (arg1 is negative and arg2 is positive) or (arg1 is positive and arg2 is negative) if str(arg1).startswith('-') and not(str(arg2).startswith('-')): # arg1 is negative and arg2 is positive return sb_substract(str(arg2), str(arg1).replace('-','')) elif not(str(arg1).startswith('-')) and str(arg2).startswith('-'): # arg1 is positive and arg2 is negative return sb_substract(str(arg1), str(arg2).replace('-','')) # transform arg1 to string if not already in string and test if it's a full integer (without decimal part or decimal part equals zero) arg1_as_string = str(arg1) arg1_integer_part = arg1_as_string arg1_decimal_part = '' arg1_is_full_integer = True arg1_is_negative = True if arg1_integer_part.startswith('-') else False try: arg1_integer_part, arg1_decimal_part = arg1_as_string.split(".") if arg1_decimal_part==len(arg1_decimal_part)*'0': arg1_is_full_integer = True else: arg1_is_full_integer = False except: pass#nothing to do if arg1_is_negative: arg1_integer_part = arg1_integer_part.replace('-', '') # transform arg2 to string if not already in string and test if it's a full integer (without decimal part or decimal part equals zero) arg2_as_string = str(arg2) arg2_integer_part = arg2_as_string arg2_decimal_part = '' arg2_is_full_integer = True arg2_is_negative = True if arg2_integer_part.startswith('-') else False try: arg2_integer_part, arg2_decimal_part = arg2_as_string.split(".") if arg2_decimal_part==len(arg2_decimal_part)*'0': arg2_is_full_integer = True else: arg2_is_full_integer = False except: pass#nothing to do if arg2_is_negative: arg2_integer_part = arg2_integer_part.replace('-', '') # making integer and decimal parts same size max_integer_part_size = max( len(arg1_integer_part), len(arg2_integer_part) ) arg1_integer_part = '0'*(max_integer_part_size-len(arg1_integer_part)) + arg1_integer_part arg2_integer_part = '0'*(max_integer_part_size-len(arg2_integer_part)) + arg2_integer_part #--------- max_decimal_part_size = max(len(arg1_decimal_part),len(arg2_decimal_part)) arg1_decimal_part = arg1_decimal_part + '0'*(max_decimal_part_size-len(arg1_decimal_part)) arg2_decimal_part = arg2_decimal_part + '0'*(max_decimal_part_size-len(arg2_decimal_part)) # making real addition operation # when here, it means both numbers are positives OR both numbers are negatives rem = '0' if not(arg1_is_full_integer) or not(arg2_is_full_integer): for i in range(max_decimal_part_size-1, -1, -1): res = int( eval('(' + arg1_decimal_part[i] + '+' + arg2_decimal_part[i] + '+' + str(rem) + ')%10') ) result = str(res) + result rem = int( eval('((' + arg1_decimal_part[i] + '+' + arg2_decimal_part[i] + '+' + str(rem) + ') - ' + str(res) + ')/10') ) result = '.' + result for i in range(max_integer_part_size-1, -1, -1): res = int( eval('(' + arg1_integer_part[i] + '+' + arg2_integer_part[i] + '+' + str(rem) + ')%10') ) result = str(res) + result rem = int( eval('((' + arg1_integer_part[i] + '+' + arg2_integer_part[i] + '+' + str(rem) + ') - ' + str(res) + ')/10') ) if str(rem) != '0': result = str(rem) + result if arg1_is_negative and arg2_is_negative: result = '-' + result # treat the case both numbers are negative result = good_format(result) return result def sb_substract(arg1: str, arg2: str) -> str: result = '' # will be arg1-arg2 # the substraction will be an addition if (arg1 is negative and arg2 is positive) or (arg1 is positive and arg2 is negative) if str(arg1).startswith('-') and not(str(arg2).startswith('-')): # arg1 is negative and arg2 is positive return sb_addition(str(arg1), '-'+str(arg2)) elif not(str(arg1).startswith('-')) and str(arg2).startswith('-'): # arg1 is positive and arg2 is negative return sb_addition(str(arg1), str(arg2).replace('-','')) # transform arg1 to string if not already in string and test if it's a full integer (without decimal part or decimal part equals zero) arg1_as_string = str(arg1) arg1_integer_part = arg1_as_string arg1_decimal_part = '' arg1_is_full_integer = True arg1_is_negative = True if arg1_integer_part.startswith('-') else False try: arg1_integer_part, arg1_decimal_part = arg1_as_string.split(".") if arg1_decimal_part==len(arg1_decimal_part)*'0': arg1_is_full_integer = True else: arg1_is_full_integer = False except: pass#nothing to do if arg1_is_negative: arg1_integer_part = arg1_integer_part.replace('-', '') # transform arg2 to string if not already in string and test if it's a full integer (without decimal part or decimal part equals zero) arg2_as_string = str(arg2) arg2_integer_part = arg2_as_string arg2_decimal_part = '' arg2_is_full_integer = True arg2_is_negative = True if arg2_integer_part.startswith('-') else False try: arg2_integer_part, arg2_decimal_part = arg2_as_string.split(".") if arg2_decimal_part==len(arg2_decimal_part)*'0': arg2_is_full_integer = True else: arg2_is_full_integer = False except: pass#nothing to do if arg2_is_negative: arg2_integer_part = arg2_integer_part.replace('-', '') # making integer and decimal parts same size max_integer_part_size = max( len(arg1_integer_part), len(arg2_integer_part) ) arg1_integer_part = '0'*(max_integer_part_size-len(arg1_integer_part)) + arg1_integer_part arg2_integer_part = '0'*(max_integer_part_size-len(arg2_integer_part)) + arg2_integer_part #--------- max_decimal_part_size = max(len(arg1_decimal_part),len(arg2_decimal_part)) arg1_decimal_part = arg1_decimal_part + '0'*(max_decimal_part_size-len(arg1_decimal_part)) arg2_decimal_part = arg2_decimal_part + '0'*(max_decimal_part_size-len(arg2_decimal_part)) # making real substraction operation # when here, it means both numbers are positives OR both numbers are negatives result_needs_negative_sign_in_font = False if arg1_is_negative and arg2_is_negative: if eval( 'abs('+arg2 + ')>=abs(' + arg1 + ')' ): temp = arg1_integer_part arg1_integer_part = arg2_integer_part arg2_integer_part = temp #--------- temp = arg1_decimal_part arg1_decimal_part = arg2_decimal_part arg2_decimal_part = temp else: result_needs_negative_sign_in_font = True elif not(arg1_is_negative) and not(arg2_is_negative): if eval( 'abs('+arg1 + ')>=abs(' + arg2 + ')' ): pass # nothing to do else: temp = arg1_integer_part arg1_integer_part = arg2_integer_part arg2_integer_part = temp #--------- temp = arg1_decimal_part arg1_decimal_part = arg2_decimal_part arg2_decimal_part = temp result_needs_negative_sign_in_font = True rem = '0' if not(arg1_is_full_integer) or not(arg2_is_full_integer): for i in range(max_decimal_part_size-1, -1, -1): upper_digit_to_consider = int( eval( arg1_decimal_part[i] + '+' + '10 if ' + arg1_decimal_part[i] + '<(' + arg2_decimal_part[i] + '+' + str(rem) + ') else ' + arg1_decimal_part[i] ) ) res = int( eval( str(upper_digit_to_consider) + '-(' + arg2_decimal_part[i] + '+' + str(rem) + ')' ) ) result = str(res) + result rem = int( eval( '1 if ' + arg1_decimal_part[i] + '<(' + arg2_decimal_part[i] + '+' + str(rem) + ') else 0' ) ) result = '.' + result for i in range(max_integer_part_size-1, -1, -1): upper_digit_to_consider = int( eval( arg1_integer_part[i] + '+' + '10 if ' + arg1_integer_part[i] + '<(' + arg2_integer_part[i] + '+' + str(rem) + ') else ' + arg1_integer_part[i] ) ) res = int( eval( str(upper_digit_to_consider) + '-(' + arg2_integer_part[i] + '+' + str(rem) + ')' ) ) result = str(res) + result rem = int( eval( '1 if ' + arg1_integer_part[i] + '<(' + arg2_integer_part[i] + '+' + str(rem) + ') else 0' ) ) if str(rem) != '0': result = str(rem) + result if result_needs_negative_sign_in_font: result = '-' + result result = good_format(result) return result def sb_multiply(arg1: str, arg2: str) -> bool: # transform arg1 to string if not already in string and test if it's a full integer (without decimal part or decimal part equals zero) arg1_as_string = str(arg1) arg1_integer_part = arg1_as_string arg1_decimal_part = '' arg1_is_full_integer = True arg1_is_negative = True if arg1_integer_part.startswith('-') else False try: arg1_integer_part, arg1_decimal_part = arg1_as_string.split(".") if arg1_decimal_part==len(arg1_decimal_part)*'0': arg1_is_full_integer = True else: arg1_is_full_integer = False except: pass#nothing to do if arg1_is_negative: arg1_integer_part = arg1_integer_part.replace('-', '') # transform arg2 to string if not already in string and test if it's a full integer (without decimal part or decimal part equals zero) arg2_as_string = str(arg2) arg2_integer_part = arg2_as_string arg2_decimal_part = '' arg2_is_full_integer = True arg2_is_negative = True if arg2_integer_part.startswith('-') else False try: arg2_integer_part, arg2_decimal_part = arg2_as_string.split(".") if arg2_decimal_part==len(arg2_decimal_part)*'0': arg2_is_full_integer = True else: arg2_is_full_integer = False except: pass#nothing to do if arg2_is_negative: arg2_integer_part = arg2_integer_part.replace('-', '') # making integer and decimal parts same size max_integer_part_size = max( len(arg1_integer_part), len(arg2_integer_part) ) arg1_integer_part = '0'*(max_integer_part_size-len(arg1_integer_part)) + arg1_integer_part arg2_integer_part = '0'*(max_integer_part_size-len(arg2_integer_part)) + arg2_integer_part #--------- max_decimal_part_size = max(len(arg1_decimal_part),len(arg2_decimal_part)) arg1_decimal_part = arg1_decimal_part + '0'*(max_decimal_part_size-len(arg1_decimal_part)) arg2_decimal_part = arg2_decimal_part + '0'*(max_decimal_part_size-len(arg2_decimal_part)) # making real multiplication operation rem = '0' intermediate_numbers = [] if arg2_is_full_integer: down_number_in_multiplication = arg2_integer_part else: down_number_in_multiplication = arg2_integer_part+arg2_decimal_part if arg1_is_full_integer: up_number_in_multiplication = arg1_integer_part else: up_number_in_multiplication = arg1_integer_part+arg1_decimal_part #---------------- for j in range(len(down_number_in_multiplication)-1, -1, -1): current_intermediate_number = '0'*( (len(down_number_in_multiplication)-1) - j ) for i in range(len(up_number_in_multiplication)-1, -1, -1): res = int( eval( '((' + down_number_in_multiplication[j] + '*' + up_number_in_multiplication[i] + ')+' + str(rem) + ')%10' ) ) current_intermediate_number = str(res) + current_intermediate_number rem = int( eval( '(((' + down_number_in_multiplication[j] + '*' + up_number_in_multiplication[i] + ')+' + str(rem) + ') - ' + str(res) + ')/10') ) if rem != '0': current_intermediate_number = str(rem) + current_intermediate_number intermediate_numbers.append(current_intermediate_number) result = intermediate_numbers[0] for k in range(1, len(intermediate_numbers)): result = sb_addition(result, intermediate_numbers[k]) if not(arg1_is_full_integer) or not(arg2_is_full_integer): result = result[:-len(arg1_decimal_part+arg2_decimal_part)]+'.'+result[len(result)-len(arg1_decimal_part+arg2_decimal_part):] #here to modifiy if (arg1_is_negative and not(arg2_is_negative)) or (not(arg1_is_negative) and arg2_is_negative): result = '-' + result result = good_format(result) return result def good_format(result: str) -> str: # order of following instructions is very important while result.startswith('0') and len(result)>=2 and result[1] != '.': result = result[1:] while result.startswith('-0') and len(result)>=3 and result[2] != '.': result = result.replace('-0','-') if '.' in result and result.split('.')[1]=='0'*len(result.split('.')[1]): result = result.split('.')[0] while '.' in result and result.endswith('0'): result = result[:-1] return result if __name__=='__main__': #print("add", sb_addition("2222222222222222222222222222222222222222.55", "2.55") ) #print("add", sb_addition("3.8257", "0.8257") ) #print( type(sb_substract("9999999.019999", "99999.99999993")) ) #print("sub", sb_substract("12", "78.9999") ) #print(greater_than("0","1110", "0","1112", True, True)) #print(greater_than("0","0", "1110","1112")) #print(greater_than('9001','9003')) print("mul", sb_multiply('123','123.0')) #======================= #print("sb_addition('14','19977.67')", sb_addition('14','19977.67')) #print("sb_substract('559.1','6.98')", sb_substract('559.1','6.98')) #print("sb_multiply( sb_addition('14','19977.67') , sb_substract('559.1','-6.98') )",sb_multiply( sb_addition('14','19977.67') , sb_substract('559.1','-6.98') )) print("cmplx:", sb_multiply( sb_multiply( sb_addition('14','19977.67') , sb_substract('559.1','6.98') ),'0.1459')) print("format", good_format('-00001.000')) print("overlap",overlap('-12512.252','125')) ov_r = overlap('-12512.252','125') print(unoverlap(ov_r)) pass