Returns the natural logarithm of the argument.
math:log
( $arg
as xs:double?
xs:double?
If $arg
is the empty sequence, the function returns the empty sequence.
Otherwise the result is the natural logarithm of $arg
, as defined in the
specification of the log
function applied
to 64-bit binary floating point values.
The expression math:log(())
returns ()
.
The expression math:log(0)
returns xs:double('-INF')
.
The expression math:log(math:exp(1))
returns 1.0e0
.
The expression math:log(1.0e-3)
returns -6.907755278982137e0
.
The expression math:log(2)
returns 0.6931471805599453e0
.
The expression math:log(-1)
returns xs:double('NaN')
.
The expression math:log(xs:double('NaN'))
returns xs:double('NaN')
.
The expression math:log(xs:double('INF'))
returns xs:double('INF')
.
The expression math:log(xs:double('-INF'))
returns xs:double('NaN')
.
The treatment of divideByZero
and invalidOperation
exceptions
is defined in . The effect is that if the argument is
zero, the result is -INF
, and if it is negative, the result is NaN
.