us x</p>
<!-- R; log1p_exp; (T x); -->
<p></p>
<p><code>R</code> <strong><code>log1p_exp</code></strong><code>(T x)</code><br>
natural logarithm of one plus the natural exponentiation of x</p>
<!-- R; log1m_exp; (T x); -->
<p></p>
<p><code>R</code> <strong><code>log1m_exp</code></strong><code>(T x)</code><br>
logarithm of one minus the natural exponentiation of x</p>
<!-- real; log_diff_exp; (real x, real y); -->
<p></p>
<p><code>real</code> <strong><code>log_diff_exp</code></strong><code>(real x, real y)</