\[wj - \frac{wj \cdot e^{wj} - x}{e^{wj} + wj \cdot e^{wj}}
\]
↓
\[\begin{array}{l}
t_0 := wj \cdot e^{wj}\\
\mathbf{if}\;wj + \frac{x - t_0}{e^{wj} + t_0} \leq 5 \cdot 10^{-17}:\\
\;\;\;\;wj \cdot \left(wj - wj \cdot wj\right) + \frac{x}{e^{wj} \cdot \left(wj + 1\right)}\\
\mathbf{else}:\\
\;\;\;\;wj + \left(wj + -1\right) \cdot \frac{\frac{x}{e^{wj}} - wj}{\mathsf{fma}\left(wj, wj, -1\right)}\\
\end{array}
\]
(FPCore (wj x)
:precision binary64
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))))
↓
(FPCore (wj x)
:precision binary64
(let* ((t_0 (* wj (exp wj))))
(if (<= (+ wj (/ (- x t_0) (+ (exp wj) t_0))) 5e-17)
(+ (* wj (- wj (* wj wj))) (/ x (* (exp wj) (+ wj 1.0))))
(+ wj (* (+ wj -1.0) (/ (- (/ x (exp wj)) wj) (fma wj wj -1.0)))))))double code(double wj, double x) {
return wj - (((wj * exp(wj)) - x) / (exp(wj) + (wj * exp(wj))));
}
↓
double code(double wj, double x) {
double t_0 = wj * exp(wj);
double tmp;
if ((wj + ((x - t_0) / (exp(wj) + t_0))) <= 5e-17) {
tmp = (wj * (wj - (wj * wj))) + (x / (exp(wj) * (wj + 1.0)));
} else {
tmp = wj + ((wj + -1.0) * (((x / exp(wj)) - wj) / fma(wj, wj, -1.0)));
}
return tmp;
}
function code(wj, x)
return Float64(wj - Float64(Float64(Float64(wj * exp(wj)) - x) / Float64(exp(wj) + Float64(wj * exp(wj)))))
end
↓
function code(wj, x)
t_0 = Float64(wj * exp(wj))
tmp = 0.0
if (Float64(wj + Float64(Float64(x - t_0) / Float64(exp(wj) + t_0))) <= 5e-17)
tmp = Float64(Float64(wj * Float64(wj - Float64(wj * wj))) + Float64(x / Float64(exp(wj) * Float64(wj + 1.0))));
else
tmp = Float64(wj + Float64(Float64(wj + -1.0) * Float64(Float64(Float64(x / exp(wj)) - wj) / fma(wj, wj, -1.0))));
end
return tmp
end
code[wj_, x_] := N[(wj - N[(N[(N[(wj * N[Exp[wj], $MachinePrecision]), $MachinePrecision] - x), $MachinePrecision] / N[(N[Exp[wj], $MachinePrecision] + N[(wj * N[Exp[wj], $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]
↓
code[wj_, x_] := Block[{t$95$0 = N[(wj * N[Exp[wj], $MachinePrecision]), $MachinePrecision]}, If[LessEqual[N[(wj + N[(N[(x - t$95$0), $MachinePrecision] / N[(N[Exp[wj], $MachinePrecision] + t$95$0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], 5e-17], N[(N[(wj * N[(wj - N[(wj * wj), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x / N[(N[Exp[wj], $MachinePrecision] * N[(wj + 1.0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(wj + N[(N[(wj + -1.0), $MachinePrecision] * N[(N[(N[(x / N[Exp[wj], $MachinePrecision]), $MachinePrecision] - wj), $MachinePrecision] / N[(wj * wj + -1.0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]
wj - \frac{wj \cdot e^{wj} - x}{e^{wj} + wj \cdot e^{wj}}
↓
\begin{array}{l}
t_0 := wj \cdot e^{wj}\\
\mathbf{if}\;wj + \frac{x - t_0}{e^{wj} + t_0} \leq 5 \cdot 10^{-17}:\\
\;\;\;\;wj \cdot \left(wj - wj \cdot wj\right) + \frac{x}{e^{wj} \cdot \left(wj + 1\right)}\\
\mathbf{else}:\\
\;\;\;\;wj + \left(wj + -1\right) \cdot \frac{\frac{x}{e^{wj}} - wj}{\mathsf{fma}\left(wj, wj, -1\right)}\\
\end{array}