#!/usr/bin/python3 import sys import numpy import time def sb_addition(arg1: str, arg2: str) -> str: #will do both addition and substraction 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' print("ADDITION") #DELETE 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') ) print("rem", rem) 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') ) print("rem", rem) 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 while result.startswith('-0'): result = result.replace('-0','-') if '.' in result and result.split('.')[1]==len(result.split('.')[1])*'0': return result.split('.')[0] # no need to return the result decimal part if it's equal to zero 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 print("SUBSTRACT") #DELETE result_needs_negative_sign_in_font = False print("arg1_integer_part", arg1_integer_part, "arg1_decimal_part", arg1_decimal_part) print("arg2_integer_part", arg2_integer_part, "arg2_decimal_part", arg2_decimal_part) print("arg1_is_negative", arg1_is_negative, "arg2_is_negative", arg2_is_negative) if arg1_is_negative and arg2_is_negative: if greater_than(arg2_integer_part, arg1_integer_part, arg2_decimal_part, arg1_decimal_part): 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 greater_than(arg1_integer_part, arg2_integer_part, arg1_decimal_part, arg2_decimal_part): 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) + ')' ) ) print("res", str(res)) 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' ) ) print("rem", rem) if str(rem) != '0': result = str(rem) + result if result_needs_negative_sign_in_font: result = '-' + result while result.startswith('-0'): result = result.replace('-0','-') if '.' in result and result.split('.')[1]==len(result.split('.')[1])*'0': return result.split('.')[0] # no need to return the result decimal part if it's equal to zero return result def greater_than(arg1_integer_part: str, arg2_integer_part: str, arg1_decimal_part: str='', arg2_decimal_part: str='') -> bool: # verify if arg1 >= arg2 # we assume integer parts are same size and decimal parts are also same size assert len(arg1_integer_part)==len(arg2_integer_part) and len(arg1_decimal_part)==len(arg2_decimal_part) for i in range(len(arg1_integer_part)): if eval( arg1_integer_part[i] + '<' + arg2_integer_part[i] ): return False for i in range(len(arg1_decimal_part)): if eval( arg1_decimal_part[i] + '<' + arg2_decimal_part[i] ): return False return True if __name__=='__main__': #print("add", sb_addition("-10", "-1.99999993") ) #print( type(sb_substract("9999999.019999", "99999.99999993")) ) print("sub", sb_substract("12", "78") ) #print(greater_than("0","1110", "0","1112", True, True)) #print(greater_than("0","0", "1110","1112")) #print(greater_than('9001','9003')) pass