number—for <
, >
, <=
, >=
: a real;
for =
, /=
: a number.
generalizedboolean—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 the next figure.

Figure 12.13: Uses of /=, =, <, >, <=, and >=
Might signal typeerror
if some argument is not a real.
Might signal arithmeticerror
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.