246 lines
No EOL
14 KiB
Python
246 lines
No EOL
14 KiB
Python
#!/usr/bin/python3
|
|
|
|
import sys
|
|
from unittest import result
|
|
import numpy
|
|
import time
|
|
|
|
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
|
|
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
|
|
result_needs_negative_sign_in_font = False
|
|
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) + ')' ) )
|
|
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
|
|
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
|
|
|
|
|
|
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 = []
|
|
|
|
#down_number_in_multiplication = arg2_integer_part+arg2_decimal_part
|
|
#up_number_in_multiplication = arg1_integer_part+arg1_decimal_part
|
|
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
|
|
|
|
print("up_number_in_multiplication", up_number_in_multiplication)
|
|
print("down_number_in_multiplication", down_number_in_multiplication)
|
|
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])
|
|
print("result before putting . :", result)
|
|
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
|
|
while result.startswith('0'): result = result[1:]
|
|
if (arg1_is_negative and not(arg2_is_negative)) or (not(arg1_is_negative) and arg2_is_negative): result = '-' + result
|
|
#print("result", result[:-len(arg1_decimal_part+arg2_decimal_part)]+'.'+result[len(result)-len(arg1_decimal_part+arg2_decimal_part):])
|
|
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'))
|
|
pass |