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logexp.awk File Reference

Namespaces

namespace  math
 

Functions

number math::log1p (numeric x)
 \(f(x) = \ln{\left(1+x\right)}\)
 
number math::expm1 (numeric x)
 \(f(x) = e^x - 1\)
 
number math::xlogx (numeric x)
 \(f(x) = x \ln{\left(x\right)}\)
 
number math::xlogy (numeric x, numeric y)
 \(f(x, y) = x \ln{\left(y\right)}\)
 
number math::xlog1py (numeric x, numeric y)
 \(f(x, y) = x \ln{\left(1 + y\right)}\)
 
number math::xexpx (numeric x)
 \(f(x) = x e^x\)
 
number math::xexpy (numeric x, numeric y)
 \(f(x, y) = x e^y\)
 
number math::logistic (numeric x)
 Standard logistic function or expit function \(\mathcal{L}\).
 
number math::logit (numeric x)
 Logit function or log-odds function. Inverse of the standard logistic function \(\sigma = \mathcal{L}^{-1}\).
 
number math::logcosh (numeric x)
 \(f(x) = \ln{\left(\cosh{(x)}\right)}\)
 
number math::log1psq (numeric x)
 \(f(x) = \ln{\left(1 + x^2\right)}\)
 
number math::log1pexp (numeric x)
 \(f(x) = \ln{\left(1 + e^x\right)}\)
 
number math::log1pmx (numeric x)
 \(f(x) = \ln{\left(1 + x\right)} - x\)
 
number math::logmxp1 (numeric x)
 \(f(x) = \ln{\left(x\right)} -x + 1\)
 
number math::log1mexp (numeric x)
 \(f(x) = \ln{\left(1 - e^x\right)}\)
 
number math::log2mexp (numeric x)
 \(f(x) = \ln{\left(2 - e^x\right)}\)
 
number math::cloglog (numeric x)
 Complementary log-log function.
 
number math::cexpexp (numeric x)
 Complementary double exponential function.