Stan Math Library  2.20.0
reverse mode automatic differentiation
log_mix.hpp
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1 #ifndef STAN_MATH_PRIM_SCAL_FUN_LOG_MIX_HPP
2 #define STAN_MATH_PRIM_SCAL_FUN_LOG_MIX_HPP
3 
9 #include <cmath>
10 
11 namespace stan {
12 namespace math {
13 
46 inline double log_mix(double theta, double lambda1, double lambda2) {
47  using std::log;
48  check_not_nan("log_mix", "lambda1", lambda1);
49  check_not_nan("log_mix", "lambda2", lambda2);
50  check_bounded("log_mix", "theta", theta, 0, 1);
51  return log_sum_exp(log(theta) + lambda1, log1m(theta) + lambda2);
52 }
53 
54 } // namespace math
55 } // namespace stan
56 #endif
void check_bounded(const char *function, const char *name, const T_y &y, const T_low &low, const T_high &high)
Check if the value is between the low and high values, inclusively.
fvar< T > log(const fvar< T > &x)
Definition: log.hpp:12
fvar< T > log_sum_exp(const std::vector< fvar< T > > &v)
Definition: log_sum_exp.hpp:12
void check_not_nan(const char *function, const char *name, const T_y &y)
Check if y is not NaN.
fvar< T > log_mix(const fvar< T > &theta, const fvar< T > &lambda1, const fvar< T > &lambda2)
Return the log mixture density with specified mixing proportion and log densities and its derivative ...
Definition: log_mix.hpp:107
fvar< T > log1m(const fvar< T > &x)
Definition: log1m.hpp:12

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