#### 6.5.7 Numeric comparison ¶

Note that the words that compare for equality (```= <> 0= 0<> d= d<> d0= d0<>```) work for for both signed and unsigned numbers.

````<` ( n1 n2 – f ) core “less-than”
```
````<=` ( n1 n2 – f ) gforth-0.2 “less-or-equal”
```
````<>` ( n1 n2 – f ) core-ext “not-equals”
```
````=` ( n1 n2 – f ) core “equals”
```
````>` ( n1 n2 – f ) core “greater-than”
```
````>=` ( n1 n2 – f ) gforth-0.2 “greater-or-equal”
```
````0<` ( n – f ) core “zero-less-than”
```
````0<=` ( n – f ) gforth-0.2 “zero-less-or-equal”
```
````0<>` ( n – f ) core-ext “zero-not-equals”
```
````0=` ( n – f ) core “zero-equals”
```
````0>` ( n – f ) core-ext “zero-greater-than”
```
````0>=` ( n – f ) gforth-0.2 “zero-greater-or-equal”
```
````u<` ( u1 u2 – f ) core “u-less-than”
```
````u<=` ( u1 u2 – f ) gforth-0.2 “u-less-or-equal”
```
````u>` ( u1 u2 – f ) core-ext “u-greater-than”
```
````u>=` ( u1 u2 – f ) gforth-0.2 “u-greater-or-equal”
```
````within` ( u1 u2 u3 – f ) core-ext “within”
```

u2<u3 and u1 in [u2,u3) or: u2>=u3 and u1 not in [u3,u2). This works for unsigned and signed numbers (but not a mixture). Another way to think about this word is to consider the numbers as a circle (wrapping around from `max-u` to 0 for unsigned, and from `max-n` to min-n for signed numbers); now consider the range from u2 towards increasing numbers up to and excluding u3 (giving an empty range if u2=u3); if u1 is in this range, `within` returns true.

````d<` ( d1 d2 – f ) double “d-less-than”
```
````d<=` ( d1 d2 – f ) gforth-0.2 “d-less-or-equal”
```
````d<>` ( d1 d2 – f ) gforth-0.2 “d-not-equals”
```
````d=` ( d1 d2 – f ) double “d-equals”
```
````d>` ( d1 d2 – f ) gforth-0.2 “d-greater-than”
```
````d>=` ( d1 d2 – f ) gforth-0.2 “d-greater-or-equal”
```
````d0<` ( d – f ) double “d-zero-less-than”
```
````d0<=` ( d – f ) gforth-0.2 “d-zero-less-or-equal”
```
````d0<>` ( d – f ) gforth-0.2 “d-zero-not-equals”
```
````d0=` ( d – f ) double “d-zero-equals”
```
````d0>` ( d – f ) gforth-0.2 “d-zero-greater-than”
```
````d0>=` ( d – f ) gforth-0.2 “d-zero-greater-or-equal”
```
````du<` ( ud1 ud2 – f ) double-ext “d-u-less-than”
```
````du<=` ( ud1 ud2 – f ) gforth-0.2 “d-u-less-or-equal”
```
````du>` ( ud1 ud2 – f ) gforth-0.2 “d-u-greater-than”
```
````du>=` ( ud1 ud2 – f ) gforth-0.2 “d-u-greater-or-equal”
```