log() [5/7]

template<typename T , require_arithmetic_t< T > * = nullptr>

auto stan::math::log ( T &&  a )

inline

Return the natural logarithm of the arithmetic argument.

Return the natural log of the specified variable (cmath).

Return the natural logarithm of the complex argument.

Template Parameters

V	Arithmetic argument

Parameters

[in]

x

argument

Returns

natural logarithm of the argument

Template Parameters

V	complex<Arithmetic> argument

Parameters

[in]

x

argument

Returns

natural logarithm of the argument

The derivative is defined by

\(\frac{d}{dx} \log x = \frac{1}{x}\).

\[ \mbox{log}(x) = \begin{cases} \textrm{NaN} & \mbox{if } x < 0\\ \ln(x) & \mbox{if } x \geq 0 \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]

\[ \frac{\partial\, \mbox{log}(x)}{\partial x} = \begin{cases} \textrm{NaN} & \mbox{if } x < 0\\ \frac{1}{x} & \mbox{if } x\geq 0 \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]

Template Parameters

T	Arithmetic or a type inheriting from EigenBase.

Parameters

a	Variable whose log is taken.

Returns

Natural log of variable.

Definition at line 27 of file log.hpp.