#### 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.

Figure 12–1 shows operators relating to arithmetic operations.

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

      Figure 12–1: Operators relating to Arithmetic.

Figure 12–2 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.

Figure 12–3 shows operators relating to numeric comparison and predication.

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

      Figure 12–3: Operators for numeric comparison and predication.

Figure 12–4 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.