=, /=, <, >, <=, >=
=, /=, <, >, <=, >= Function
Syntax:
= &rest numbers+ → generalized-boolean
/= &rest numbers+ → generalized-boolean
< &rest numbers+ → generalized-boolean
> &rest numbers+ → generalized-boolean
<= &rest numbers+ → generalized-boolean
>= &rest numbers+ → generalized-boolean
Arguments and Values:
number—for <, >, <=, >=: a real; for =, /=: a number .
generalized-boolean—a generalized boolean.
Description:
=, /=, <, >, <=, and >= perform arithmetic comparisons on their arguments as follows: =
The value of = is true if all numbers are the same in value; otherwise it is false. Two complexes are considered equal by = if their real and imaginary parts are equal according to =.
/=The value of /= is true if no two numbers are the same in value; otherwise it is false.
=, /=, <, >, <=, >=
<
The value of < is true if the numbers are in monotonically increasing order; otherwise it is false.
>
The value of > is true if the numbers are in monotonically decreasing order; otherwise it is false.
<=
The value of <= is true if the numbers are in monotonically nondecreasing order; otherwise it is false.
>=
The value of >= is true if the numbers are in monotonically nonincreasing order; otherwise it is false.
=, /=, <, >, <=, and >= perform necessary type conversions.
Examples:
The uses of these functions are illustrated in Figure 12–13.
(= 3 3) ;is true.
(/= 3 3) ;is false.
(= 3 5) ;is false.
(/= 3 5) ;is true.
(= 3 3 3 3) ;is true.
(/= 3 3 3 3) ;is false.
(= 3 3 5 3) ;is false.
(/= 3 3 5 3) ;is false.
(= 3 6 5 2) ;is false.
(/= 3 6 5 2) ;is true.
(= 3 2 3) ;is false.
(/= 3 2 3) ;is false.
(< 3 5) ;is true.
(<= 3 5) ;is true.
(< 3 -5) ;is false.
(<= 3 -5) ;is false.
(< 3 3) ;is false.
(<= 3 3) ;is true.
(< 0 3 4 6 7) ;is true.
(<= 0 3 4 6 7) ;is true.
(< 0 3 4 4 6) ;is false.
(<= 0 3 4 4 6) ;is true.
(> 4 3) ;is true.
(>= 4 3) ;is true.
(> 4 3 2 1 0) ;is true.
(>= 4 3 2 1 0) ;is true.
(> 4 3 3 2 0) ;is false.
(>= 4 3 3 2 0) ;is true.
(> 4 3 1 2 0) ;is false.
(>= 4 3 1 2 0) ;is false.
(= 3) ;is true.
(/= 3) ;is true.
(< 3) ;is true.
(<= 3) ;is true.
(= 3.0 #c(3.0 0.0)) ;is true.
(/= 3.0 #c(3.0 1.0)) ;is true.
(= 3 3.0) ;is true.
(= 3.0s0 3.0d0) ;is true.
(= 0.0 -0.0) ;is true.
(= 5/2 2.5) ;is true.
(> 0.0 -0.0) ;is false.
(= 0 -0.0) ;is true.
(<= 0 x 9) ;is true if x is between 0 and 9, inclusive
(< 0.0 x 1.0) ;is true if x is between 0.0 and 1.0, exclusive
(< -1 j (length v)) ;is true if j is a valid array index for a vector v
Exceptional Situations:
Might signal type-error if some argument is not a real. Might signal arithmetic-error if otherwise unable to fulfill its contract.
Notes:
= differs from eql in that (= 0.0 -0.0)
is always true, because = compares the mathematical values of its operands, whereas eql compares the representational values, so to speak.
Expanded Reference: =, /=, <, >, <=, >=
TODO: Please contribute to this page by adding explanations and examples
(= )
(/= )
(< )
(> )
(<= )
(>= )