CLHS: Section 12.1.1

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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.

## 12.1.1.1 Associativity and Commutativity in Numeric Operations

## 12.1.1.2 Contagion in Numeric Operations

## 12.1.1.3 Viewing Integers as Bits and Bytes

Copyright 1996-2005, LispWorks Ltd. All rights reserved.