4.6.4.7 Trascendental functions

Procedure: exp z

Procedure: log z

Procedure: log z1 z2

Procedure: sin z

Procedure: cos z

Procedure: tan z

Procedure: asin z

Procedure: acos z

Procedure: atan z

Procedure: atan x1 x2

These procedures compute the usual transcendental functions.

The exp procedure computes the base–e exponential of z.

The log procedure with a single argument computes the natural logarithm of z (not the base–10 logarithm); (log z1 z2) computes the base–z2 logarithm of z1.

The asin, acos, and atan procedures compute arcsine, arccosine, and arctangent, respectively. The two–argument variant of atan computes:

(angle (make-rectangular x2 x1))

These procedures may return inexact results even when given exact arguments.

(exp +inf.0)    ⇒ +inf.0
(exp -inf.0)    ⇒ 0.0
(log +inf.0)    ⇒ +inf.0
(log 0.0)       ⇒ -inf.0
(log 0)         ⇒ exception &assertion

(log -inf.0)    ⇒ +inf.0+3.141592653589793i
                ; approximately

(atan -inf.0)   ⇒ -1.5707963267948965
                ; approximately

(atan +inf.0)   ⇒ 1.5707963267948965
                ; approximately

(log -1.0+0.0i) ⇒ 0.0+3.141592653589793i
                ; approximately

(log -1.0-0.0i) ⇒ 0.0-3.141592653589793i
                ; approximately if -0.0 is distinguished