difference between floor() and rounddown() function

Question

what is the difference between floor() and rounddown() function or ceiling() and roundup() function ?

Shubham Aware · Accepted Answer

Hi parag, 
 floor() :- Rounds the number down to the nearest multiple of the specified significance. 
 floor(2.8888, .0124568) returns 2.877521 floor(-7,5) returns -10 
 rounddown() :- Rounds the number down to the specified digit. 
 rounddown(7.36819) returns 7.36 
 rounddown(7.36819, 3) returns 7.368 
 rounddown(7.36819, 4) returns 7.3681 ceiling() :- Rounds the number up to the nearest multiple of the specified significance. 
 ceiling(7.32,.5) returns 7.5 
 ceiling(1.6) returns 2 
 
 roundup() :- Rounds the number up to the specified digit. 
 roundup(7.36819) returns 7.37 
 roundup(7.36819, 3) returns 7.369 
 roundup(7.36819, 4) returns 7.3682

sahilb346 · Answer

Hello, 
floor:-The floor function functionality is to just give the number of digits which we had give after the decimal. 
 for eg :- floor(2.88888, .001)== 2.888 (this function will not give the round of values only provide same digits) 
 
Rounddown():- this function is also to give the number fo digits after the decimal without any change in the value. 
 for eg:- rounddown(2.1298,2)== 2.12 or rounddown(2.1211,2)== 2.12, 
 
RoundUp():- this function will give the nearest round of depend on the last digit of the value we required. 
 for eg:- round(2.1298,2) or roundup(2.1218,2) == 2.13 and roundup(2.1200)= 2.12, so if the digit next to the digit we required is 0 then output will be same otherwise the value will me increaser by 1 added in the last digit. 
roundup(2.192)= 2.2 
 
ceiling()= This function will give the next number value and after the decimal if all the digits are 0 then the output will be the same otherwise the output will be the next number. Also you can define that it has to give add +1 or +.5 according to the value after decimal 
 for eg:- ceiling(2.00)= 2, ceiling(2.01)= 3 (by default the increment value is +1) 
 for eg:- ceiling(2.00,.5)=2, ceiling(2.01,.5)= 2.5,ceiling(2.50,.5)= 2.5,ceiling(2.512)= 3, ceiling(2.65)= 3 
 
Hope this will help you. 
 
Thanks 
Sahil Batra

Abhay Giri · Answer

Hi Parag, 
 
floor() & ceiling() function is vice-versa to each other, i.e in floor() function , floor(2.90,.5)=2.5 because 2.5 is the down to nearest multiple of .5 and in the same way ceiling(2.90,.5) return 3 because 3 is up to nearest multiple of .5. 
 
Regards 
Abhay

x	Floor X	Ceiling $X$
2	2	2
2.4	2	3
2.9	2	3
−2.7	−3	−2
−2	−2	−2

x	Floor X	Ceiling $X$
2	2	2
2.4	2	3
2.9	2	3
−2.7	−3	−2
−2	−2	−2