Rules for calculations
Desciption
Given a set of caclulation for real numbers with some special values
With this special values the rules below apply.
A set of calculation routines
based on this special values and rules can also easily deal with
overflow and underflow.
Functions calculated with such routines (like sine and log) will
also give "proper" results. So tan(½ pi) will give oo.
Rules
Addition |
0 |
y |
oo |
? |
0 |
0 |
y |
oo |
? |
x |
x |
x + y |
oo |
? |
oo |
oo |
oo |
? |
? |
? |
? |
? |
? |
? |
Subtraction |
0 |
y |
oo |
? |
0 |
0 |
-y |
oo |
? |
x |
x |
x - y |
oo |
? |
oo |
oo |
oo |
? |
? |
? |
? |
? |
? |
? |
Multiplication |
0 |
y |
oo |
? |
0 |
0 |
0 |
? |
? |
x |
0 |
x * y |
oo |
? |
oo |
? |
oo |
oo |
? |
? |
? |
? |
? |
? |
Division |
0 |
y |
oo |
? |
0 |
? |
0 |
0 |
? |
x |
oo |
x / y |
0 |
? |
oo |
oo |
oo |
? |
? |
? |
? |
? |
? |
? |