LISP: *
C: Lmultiplication
min args: 0
max args: -1
[F][CLTL 12]
SYNOPSIS:
* &rest numbers
DESCRIPTION:
This returns the product of the arguments. If there are no arguments, the result is 1, which is an identity for this operation.
LISP: +
C: Laddition
min args: 0
max args: -1
[F][CLTL 12]
SYNOPSIS:
+ &rest numbers
DESCRIPTION:
This returns the sum of the arguments. If there are no arguments, the result is 0, which is an identity for this operation.
LISP: -
C: Lsubtraction
min args: 0
max args: -1
[F][CLTL 12]
SYNOPSIS:
- number &rest more-numbers
DESCRIPTION:
The function -, when given one argument, returns the negative of that argument.
The function -, when given more than one argument, successively subtracts from the first argument all the others, and returns the result. For example, (- 3 4 5) => -6.
LISP: /
C: Ldivision
min args: 1
max args: -1
[F][CLTL 12]
SYNOPSIS:
/ number &rest more-numbers
DESCRIPTION:
The function /, when given more than one argument, successively divides the first argument by all the others and returns the result. With one argument, / reciprocates the argument. / will produce a ratio if the mathematical quotient of two integers is not an exact integer. For example:
(
/ 12 4) => 3(
/ 13 4) => 13/4(
/ -8) => -1/8(
/ 3 4 5) => 3/20To divide one integer by another producing an integer result, use one of the functions floor, ceiling, truncate, or round.
If any argument is a floating-point number, then the rules of floating-point contagion apply.
LISP: /=
C: Lnne
min args: 1
max args: -1
[F][CLTL 12]
SYNOPSIS:
/= number &rest more-numbers
DESCRIPTION:
see =
LISP: 1+
C: Lincrement
min args: 1
max args: 1
[F][CLTL 12]
SYNOPSIS:
1+ number
DESCRIPTION:
This function returns the sum of one and its numeric argument. The argument is not altered; use incf to do this.
(
1+ x) is the same as (+ x 1).LISP: 1-
C: Ldecrement
min args: 1
max args: 1
[F][CLTL 12]
SYNOPSIS:
1-
numberDESCRIPTION:
This function returns the its numeric argument less one. The argument is not altered; use decf to do this.
(
1- x) is the same as (- x 1). Note that the short name may be confusing:(
1- x) does not mean 1 - x; rather, it means x - 1.LISP: <
C: Lnlt
min args: 1
max args: -1
[F][CLTL 12]
SYNOPSIS:
< number &rest more-numbers
DESCRIPTION:
see =
LISP: <=
C: Lnle
min args: 1
max args: -1
[F][CLTL 12]
SYNOPSIS:
<= number &rest more-numbers
DESCRIPTION:
see =
LISP: =
C: Lneq
min args: 1
max args: -1
[F][CLTL 12]
SYNOPSIS:
= number &rest more-numbers
DESCRIPTION:
The relational functions each take one or more arguments, if the sequence of arguments satisfies a certain condition:
=
all the same/=
all different<
monotonically increasing>
monotonically decreasing<=
monotonically nondecreasing>=
monotonically nonincreasingthen the predicate is true, and otherwise is false. For example:
(= 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 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 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.With two arguments, these functions perform the usual arithmetic comparison tests. With three or more arguments, they are useful for range checks as shown in the following example:
(<= 0 x 9)
;true if x is between 0 and 9, inclusive(< 0.0 x 1.0)
;true if x is between 0.0 and 1.0, exclusive(< -1 j (length s))
;true if j is a valid index for s(<= 0 j k (= (length s) 1))
;true if j and k are each valid;indices for s and also j<-k
LISP: >
C: Lngt
min args: 1
max args: -1
[F][CLTL 12]
SYNOPSIS:
> number &rest more-numbers
DESCRIPTION:
see =
LISP: >=
C: Lnge
min args: 1
max args: -1
[F][CLTL 12]
SYNOPSIS:
>= number &rest more-numbers
DESCRIPTION:
see =