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12.1.1 Numeric Operations

Common Lisp provides a large variety of operations related to *numbers*. This section provides an overview of those operations by grouping them into categories that emphasize some of the relationships among them.

The next figure shows *operators* relating to arithmetic operations.

* 1+ gcd
+ 1- incf
- conjugate lcm
/ decf

**Figure 12-1. Operators relating to Arithmetic.**

The next figure shows *defined names* relating to exponential, logarithmic, and trigonometric operations.

abs cos signum
acos cosh sin
acosh exp sinh
asin expt sqrt
asinh isqrt tan
atan log tanh
atanh phase
cis pi

**Figure 12-2. Defined names relating to Exponentials, Logarithms, and Trigonometry.**

The next figure shows *operators* relating to numeric comparison and predication.

/= >= oddp
< evenp plusp
<= max zerop
= min
> minusp

**Figure 12-3. Operators for numeric comparison and predication.**

The next figure shows *defined names* relating to numeric type manipulation and coercion.

ceiling float-radix rational
complex float-sign rationalize
decode-float floor realpart
denominator fround rem
fceiling ftruncate round
ffloor imagpart scale-float
float integer-decode-float truncate
float-digits mod
float-precision numerator

**Figure 12-4. Defined names relating to numeric type manipulation and coercion.**

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