Is there a way to find the integer representation of a real number?

[hatem240600]

Is there a way to find the integer of a real number? Of course without using the [x] function. What I am looking for here is an algebraic formula.

 

[BvU]

You want an algorithm for a function without allowing the use of functions, right ?

How about IF statements ? Range of your function ?

(by the way, in many computer languages a = b does tthe trick if a is an integer and b a real )

 

[jbriggs444]

You can get pretty close by starting with arctan(tan(x)). This gives you a sawtooth which you can shift, scale and subtract from f(x)=x. It's just those pesky points where tan x is undefined that get you.

Will you allow arctan2 as part of an algebraic formula?

 

[jim mcnamara]

To get answers that you want, you will note that the posters so far have asked how you define algebraic. These answers are reasonable. Please provide a solid definition. We cannot leave the thread open, if you continue to have the people who are helping you forced to guess. Thanks.

 

[jim mcnamara]

Since the OP has come back to the site and ignored the request for question improvement, this thread is closed. Thanks to the two posters who gave it a good try.