What should an int() function do?

Greetings:

I would think that an int() function should return the integer part of a number by simply erasing the part after the decimal place:

int(0.5)=0
int(1.2)=1
int(1)=1
int(-0.4)=0
int(-2.3)=-2

A floor() function shuold always return the integer less than or equal to its argument:

floor(0.5)=0
floor(1.2)=1
floor(1)=1
floor(-0.4)=-1
floor(-2.3)=-3

And a ceiling() function should return the integer greater or equal to its argument:

ceiling(0.5)=1
ceiling(1.2)=2
ceiling(1)=1
ceiling(-0.4)=0
ceiling(-2.3)=-2

Thus the int() function could be defined as (in math notation, not computer code):

int(x) = {
floor(x), x>=0
ceiling(x), x<0 }

But my TI-89 calculator seems to do this:

int(x) = floor(x)

Is this a crummy implementation of int() ?




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Good day!

________________________________________
Christopher R. Carlen
Principal Laser&Electronics Technologist
Sandia National Laboratories CA USA
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