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Phi_approx.hpp
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1 #ifndef STAN_MATH_REV_SCAL_FUN_PHI_APPROX_HPP
2 #define STAN_MATH_REV_SCAL_FUN_PHI_APPROX_HPP
3 
4 #include <stan/math/rev/core.hpp>
6 
7 namespace stan {
8  namespace math {
9 
47  inline var Phi_approx(const stan::math::var& a) {
48  // return inv_logit(0.07056 * pow(a, 3.0) + 1.5976 * a);
49 
50  double av = a.vi_->val_;
51  double av_squared = av * av;
52  double av_cubed = av * av_squared;
53  double f = stan::math::inv_logit(0.07056 * av_cubed + 1.5976 * av);
54  double da = f * (1 - f) * (3.0 * 0.07056 * av_squared + 1.5976);
55  return var(new precomp_v_vari(f, a.vi_, da));
56  }
57 
58  }
59 }
60 #endif
fvar< T > inv_logit(const fvar< T > &x)
Definition: inv_logit.hpp:15
Independent (input) and dependent (output) variables for gradients.
Definition: var.hpp:32
boost::math::tools::promote_args< T >::type Phi_approx(T x)
Approximation of the unit normal CDF.
Definition: Phi_approx.hpp:23
const double val_
The value of this variable.
Definition: vari.hpp:36
vari * vi_
Pointer to the implementation of this variable.
Definition: var.hpp:44

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