=
&rest numbers^+ ⇒ generalized-boolean
/=
&rest numbers^+ ⇒ generalized-boolean
<
&rest numbers^+ ⇒ generalized-boolean
>
&rest numbers^+ ⇒ generalized-boolean
<=
&rest numbers^+ ⇒ generalized-boolean
>=
&rest numbers^+ ⇒ generalized-boolean
number—for <, >, <=, >=: a real; for =, /=: a number.
generalized-boolean—a generalized boolean.
=, /=, <, >, <=, 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.
The uses of these functions are illustrated in Figure 12–12.
(= 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 ifx
is between0
and9
, inclusive(< 0.0 x 1.0)
is true ifx
is between0.0
and1.0
, exclusive(< -1 j (length v))
is true ifj
is a valid array index for a vectorv
Figure 12–12: Uses of /=, =, <, >, <=, and >=
Might signal type-error if some argument is not a real. Might signal arithmetic-error if otherwise unable to fulfill its contract.
= 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.