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scal.hpp File Reference
`#include <stan/math/version.hpp>`
`#include <stan/math/prim/scal/meta/child_type.hpp>`
`#include <stan/math/prim/scal/meta/container_view.hpp>`
`#include <stan/math/prim/scal/meta/contains_fvar.hpp>`
`#include <stan/math/prim/scal/meta/contains_nonconstant_struct.hpp>`
`#include <stan/math/prim/scal/meta/contains_vector.hpp>`
`#include <stan/math/prim/scal/meta/error_index.hpp>`
`#include <stan/math/prim/scal/meta/get.hpp>`
`#include <stan/math/prim/scal/meta/include_summand.hpp>`
`#include <stan/math/prim/scal/meta/index_type.hpp>`
`#include <stan/math/prim/scal/meta/is_constant.hpp>`
`#include <stan/math/prim/scal/meta/is_constant_struct.hpp>`
`#include <stan/math/prim/scal/meta/is_fvar.hpp>`
`#include <stan/math/prim/scal/meta/is_var.hpp>`
`#include <stan/math/prim/scal/meta/is_var_or_arithmetic.hpp>`
`#include <stan/math/prim/scal/meta/is_vector.hpp>`
`#include <stan/math/prim/scal/meta/is_vector_like.hpp>`
`#include <stan/math/prim/scal/meta/length.hpp>`
`#include <stan/math/prim/scal/meta/length_mvt.hpp>`
`#include <stan/math/prim/scal/meta/likely.hpp>`
`#include <stan/math/prim/scal/meta/max_size.hpp>`
`#include <stan/math/prim/scal/meta/max_size_mvt.hpp>`
`#include <stan/math/prim/scal/meta/OperandsAndPartials.hpp>`
`#include <stan/math/prim/scal/meta/partials_return_type.hpp>`
`#include <stan/math/prim/scal/meta/partials_type.hpp>`
`#include <stan/math/prim/scal/meta/return_type.hpp>`
`#include <stan/math/prim/scal/meta/scalar_type.hpp>`
`#include <stan/math/prim/scal/meta/scalar_type_pre.hpp>`
`#include <stan/math/prim/scal/meta/size_of.hpp>`
`#include <stan/math/prim/scal/meta/value_type.hpp>`
`#include <stan/math/prim/scal/meta/VectorBuilder.hpp>`
`#include <stan/math/prim/scal/meta/VectorView.hpp>`
`#include <stan/math/prim/scal/err/check_bounded.hpp>`
`#include <stan/math/prim/scal/err/check_consistent_size.hpp>`
`#include <stan/math/prim/scal/err/check_consistent_sizes.hpp>`
`#include <stan/math/prim/scal/err/check_equal.hpp>`
`#include <stan/math/prim/scal/err/check_finite.hpp>`
`#include <stan/math/prim/scal/err/check_greater.hpp>`
`#include <stan/math/prim/scal/err/check_greater_or_equal.hpp>`
`#include <stan/math/prim/scal/err/check_less.hpp>`
`#include <stan/math/prim/scal/err/check_less_or_equal.hpp>`
`#include <stan/math/prim/scal/err/check_nonnegative.hpp>`
`#include <stan/math/prim/scal/err/check_not_nan.hpp>`
`#include <stan/math/prim/scal/err/check_positive.hpp>`
`#include <stan/math/prim/scal/err/check_positive_finite.hpp>`
`#include <stan/math/prim/scal/err/check_positive_size.hpp>`
`#include <stan/math/prim/scal/err/check_size_match.hpp>`
`#include <stan/math/prim/scal/err/domain_error.hpp>`
`#include <stan/math/prim/scal/err/domain_error_vec.hpp>`
`#include <stan/math/prim/scal/err/invalid_argument.hpp>`
`#include <stan/math/prim/scal/err/invalid_argument_vec.hpp>`
`#include <stan/math/prim/scal/err/out_of_range.hpp>`
`#include <stan/math/prim/scal/fun/abs.hpp>`
`#include <stan/math/prim/scal/fun/as_bool.hpp>`
`#include <stan/math/prim/scal/fun/bessel_first_kind.hpp>`
`#include <stan/math/prim/scal/fun/bessel_second_kind.hpp>`
`#include <stan/math/prim/scal/fun/binary_log_loss.hpp>`
`#include <stan/math/prim/scal/fun/binomial_coefficient_log.hpp>`
`#include <stan/math/prim/scal/fun/constants.hpp>`
`#include <stan/math/prim/scal/fun/corr_constrain.hpp>`
`#include <stan/math/prim/scal/fun/corr_free.hpp>`
`#include <stan/math/prim/scal/fun/digamma.hpp>`
`#include <stan/math/prim/scal/fun/divide.hpp>`
`#include <stan/math/prim/scal/fun/exp2.hpp>`
`#include <stan/math/prim/scal/fun/exp.hpp>`
`#include <stan/math/prim/scal/fun/F32.hpp>`
`#include <stan/math/prim/scal/fun/falling_factorial.hpp>`
`#include <stan/math/prim/scal/fun/fdim.hpp>`
`#include <stan/math/prim/scal/fun/fill.hpp>`
`#include <stan/math/prim/scal/fun/gamma_p.hpp>`
`#include <stan/math/prim/scal/fun/gamma_q.hpp>`
`#include <stan/math/prim/scal/fun/grad_2F1.hpp>`
`#include <stan/math/prim/scal/fun/grad_F32.hpp>`
`#include <stan/math/prim/scal/fun/grad_inc_beta.hpp>`
`#include <stan/math/prim/scal/fun/grad_reg_inc_beta.hpp>`
`#include <stan/math/prim/scal/fun/grad_reg_inc_gamma.hpp>`
`#include <stan/math/prim/scal/fun/ibeta.hpp>`
`#include <stan/math/prim/scal/fun/identity_constrain.hpp>`
`#include <stan/math/prim/scal/fun/identity_free.hpp>`
`#include <stan/math/prim/scal/fun/if_else.hpp>`
`#include <stan/math/prim/scal/fun/inc_beta.hpp>`
`#include <stan/math/prim/scal/fun/int_step.hpp>`
`#include <stan/math/prim/scal/fun/inv.hpp>`
`#include <stan/math/prim/scal/fun/inv_cloglog.hpp>`
`#include <stan/math/prim/scal/fun/inv_logit.hpp>`
`#include <stan/math/prim/scal/fun/inv_Phi.hpp>`
`#include <stan/math/prim/scal/fun/inv_sqrt.hpp>`
`#include <stan/math/prim/scal/fun/inv_square.hpp>`
`#include <stan/math/prim/scal/fun/is_inf.hpp>`
`#include <stan/math/prim/scal/fun/is_nan.hpp>`
`#include <stan/math/prim/scal/fun/is_uninitialized.hpp>`
`#include <stan/math/prim/scal/fun/lb_constrain.hpp>`
`#include <stan/math/prim/scal/fun/lb_free.hpp>`
`#include <stan/math/prim/scal/fun/lbeta.hpp>`
`#include <stan/math/prim/scal/fun/lgamma.hpp>`
`#include <stan/math/prim/scal/fun/lmgamma.hpp>`
`#include <stan/math/prim/scal/fun/log.hpp>`
`#include <stan/math/prim/scal/fun/log1m.hpp>`
`#include <stan/math/prim/scal/fun/log1m_exp.hpp>`
`#include <stan/math/prim/scal/fun/log1m_inv_logit.hpp>`
`#include <stan/math/prim/scal/fun/log1p.hpp>`
`#include <stan/math/prim/scal/fun/log1p_exp.hpp>`
`#include <stan/math/prim/scal/fun/log2.hpp>`
`#include <stan/math/prim/scal/fun/log_diff_exp.hpp>`
`#include <stan/math/prim/scal/fun/log_falling_factorial.hpp>`
`#include <stan/math/prim/scal/fun/log_inv_logit.hpp>`
`#include <stan/math/prim/scal/fun/log_mix.hpp>`
`#include <stan/math/prim/scal/fun/log_rising_factorial.hpp>`
`#include <stan/math/prim/scal/fun/log_sum_exp.hpp>`
`#include <stan/math/prim/scal/fun/logical_and.hpp>`
`#include <stan/math/prim/scal/fun/logical_eq.hpp>`
`#include <stan/math/prim/scal/fun/logical_gt.hpp>`
`#include <stan/math/prim/scal/fun/logical_gte.hpp>`
`#include <stan/math/prim/scal/fun/logical_lt.hpp>`
`#include <stan/math/prim/scal/fun/logical_lte.hpp>`
`#include <stan/math/prim/scal/fun/logical_negation.hpp>`
`#include <stan/math/prim/scal/fun/logical_neq.hpp>`
`#include <stan/math/prim/scal/fun/logical_or.hpp>`
`#include <stan/math/prim/scal/fun/logit.hpp>`
`#include <stan/math/prim/scal/fun/lub_constrain.hpp>`
`#include <stan/math/prim/scal/fun/lub_free.hpp>`
`#include <stan/math/prim/scal/fun/modified_bessel_first_kind.hpp>`
`#include <stan/math/prim/scal/fun/modified_bessel_second_kind.hpp>`
`#include <stan/math/prim/scal/fun/modulus.hpp>`
`#include <stan/math/prim/scal/fun/multiply_log.hpp>`
`#include <stan/math/prim/scal/fun/owens_t.hpp>`
`#include <stan/math/prim/scal/fun/Phi.hpp>`
`#include <stan/math/prim/scal/fun/Phi_approx.hpp>`
`#include <stan/math/prim/scal/fun/positive_constrain.hpp>`
`#include <stan/math/prim/scal/fun/positive_free.hpp>`
`#include <stan/math/prim/scal/fun/primitive_value.hpp>`
`#include <stan/math/prim/scal/fun/prob_constrain.hpp>`
`#include <stan/math/prim/scal/fun/prob_free.hpp>`
`#include <stan/math/prim/scal/fun/promote_scalar.hpp>`
`#include <stan/math/prim/scal/fun/promote_scalar_type.hpp>`
`#include <stan/math/prim/scal/fun/rising_factorial.hpp>`
`#include <stan/math/prim/scal/fun/sign.hpp>`
`#include <stan/math/prim/scal/fun/square.hpp>`
`#include <stan/math/prim/scal/fun/squared_distance.hpp>`
`#include <stan/math/prim/scal/fun/step.hpp>`
`#include <stan/math/prim/scal/fun/trigamma.hpp>`
`#include <stan/math/prim/scal/fun/ub_constrain.hpp>`
`#include <stan/math/prim/scal/fun/ub_free.hpp>`
`#include <stan/math/prim/scal/fun/value_of.hpp>`
`#include <stan/math/prim/scal/fun/value_of_rec.hpp>`
`#include <stan/math/prim/scal/prob/bernoulli_ccdf_log.hpp>`
`#include <stan/math/prim/scal/prob/bernoulli_cdf.hpp>`
`#include <stan/math/prim/scal/prob/bernoulli_cdf_log.hpp>`
`#include <stan/math/prim/scal/prob/bernoulli_log.hpp>`
`#include <stan/math/prim/scal/prob/bernoulli_logit_log.hpp>`
`#include <stan/math/prim/scal/prob/bernoulli_rng.hpp>`
`#include <stan/math/prim/scal/prob/beta_binomial_ccdf_log.hpp>`
`#include <stan/math/prim/scal/prob/beta_binomial_cdf.hpp>`
`#include <stan/math/prim/scal/prob/beta_binomial_cdf_log.hpp>`
`#include <stan/math/prim/scal/prob/beta_binomial_log.hpp>`
`#include <stan/math/prim/scal/prob/beta_binomial_rng.hpp>`
`#include <stan/math/prim/scal/prob/beta_ccdf_log.hpp>`
`#include <stan/math/prim/scal/prob/beta_cdf.hpp>`
`#include <stan/math/prim/scal/prob/beta_cdf_log.hpp>`
`#include <stan/math/prim/scal/prob/beta_log.hpp>`
`#include <stan/math/prim/scal/prob/beta_rng.hpp>`
`#include <stan/math/prim/scal/prob/binomial_ccdf_log.hpp>`
`#include <stan/math/prim/scal/prob/binomial_cdf.hpp>`
`#include <stan/math/prim/scal/prob/binomial_cdf_log.hpp>`
`#include <stan/math/prim/scal/prob/binomial_log.hpp>`
`#include <stan/math/prim/scal/prob/binomial_logit_log.hpp>`
`#include <stan/math/prim/scal/prob/binomial_rng.hpp>`
`#include <stan/math/prim/scal/prob/cauchy_ccdf_log.hpp>`
`#include <stan/math/prim/scal/prob/cauchy_cdf.hpp>`
`#include <stan/math/prim/scal/prob/cauchy_cdf_log.hpp>`
`#include <stan/math/prim/scal/prob/cauchy_log.hpp>`
`#include <stan/math/prim/scal/prob/cauchy_rng.hpp>`
`#include <stan/math/prim/scal/prob/chi_square_ccdf_log.hpp>`
`#include <stan/math/prim/scal/prob/chi_square_cdf.hpp>`
`#include <stan/math/prim/scal/prob/chi_square_cdf_log.hpp>`
`#include <stan/math/prim/scal/prob/chi_square_log.hpp>`
`#include <stan/math/prim/scal/prob/chi_square_rng.hpp>`
`#include <stan/math/prim/scal/prob/double_exponential_ccdf_log.hpp>`
`#include <stan/math/prim/scal/prob/double_exponential_cdf.hpp>`
`#include <stan/math/prim/scal/prob/double_exponential_cdf_log.hpp>`
`#include <stan/math/prim/scal/prob/double_exponential_log.hpp>`
`#include <stan/math/prim/scal/prob/double_exponential_rng.hpp>`
`#include <stan/math/prim/scal/prob/exp_mod_normal_ccdf_log.hpp>`
`#include <stan/math/prim/scal/prob/exp_mod_normal_cdf.hpp>`
`#include <stan/math/prim/scal/prob/exp_mod_normal_cdf_log.hpp>`
`#include <stan/math/prim/scal/prob/exp_mod_normal_log.hpp>`
`#include <stan/math/prim/scal/prob/exp_mod_normal_rng.hpp>`
`#include <stan/math/prim/scal/prob/exponential_ccdf_log.hpp>`
`#include <stan/math/prim/scal/prob/exponential_cdf.hpp>`
`#include <stan/math/prim/scal/prob/exponential_cdf_log.hpp>`
`#include <stan/math/prim/scal/prob/exponential_log.hpp>`
`#include <stan/math/prim/scal/prob/exponential_rng.hpp>`
`#include <stan/math/prim/scal/prob/frechet_ccdf_log.hpp>`
`#include <stan/math/prim/scal/prob/frechet_cdf.hpp>`
`#include <stan/math/prim/scal/prob/frechet_cdf_log.hpp>`
`#include <stan/math/prim/scal/prob/frechet_log.hpp>`
`#include <stan/math/prim/scal/prob/frechet_rng.hpp>`
`#include <stan/math/prim/scal/prob/gamma_ccdf_log.hpp>`
`#include <stan/math/prim/scal/prob/gamma_cdf.hpp>`
`#include <stan/math/prim/scal/prob/gamma_cdf_log.hpp>`
`#include <stan/math/prim/scal/prob/gamma_log.hpp>`
`#include <stan/math/prim/scal/prob/gamma_rng.hpp>`
`#include <stan/math/prim/scal/prob/gumbel_ccdf_log.hpp>`
`#include <stan/math/prim/scal/prob/gumbel_cdf.hpp>`
`#include <stan/math/prim/scal/prob/gumbel_cdf_log.hpp>`
`#include <stan/math/prim/scal/prob/gumbel_log.hpp>`
`#include <stan/math/prim/scal/prob/gumbel_rng.hpp>`
`#include <stan/math/prim/scal/prob/hypergeometric_log.hpp>`
`#include <stan/math/prim/scal/prob/hypergeometric_rng.hpp>`
`#include <stan/math/prim/scal/prob/inv_chi_square_ccdf_log.hpp>`
`#include <stan/math/prim/scal/prob/inv_chi_square_cdf.hpp>`
`#include <stan/math/prim/scal/prob/inv_chi_square_cdf_log.hpp>`
`#include <stan/math/prim/scal/prob/inv_chi_square_log.hpp>`
`#include <stan/math/prim/scal/prob/inv_chi_square_rng.hpp>`
`#include <stan/math/prim/scal/prob/inv_gamma_ccdf_log.hpp>`
`#include <stan/math/prim/scal/prob/inv_gamma_cdf.hpp>`
`#include <stan/math/prim/scal/prob/inv_gamma_cdf_log.hpp>`
`#include <stan/math/prim/scal/prob/inv_gamma_log.hpp>`
`#include <stan/math/prim/scal/prob/inv_gamma_rng.hpp>`
`#include <stan/math/prim/scal/prob/logistic_ccdf_log.hpp>`
`#include <stan/math/prim/scal/prob/logistic_cdf.hpp>`
`#include <stan/math/prim/scal/prob/logistic_cdf_log.hpp>`
`#include <stan/math/prim/scal/prob/logistic_log.hpp>`
`#include <stan/math/prim/scal/prob/logistic_rng.hpp>`
`#include <stan/math/prim/scal/prob/lognormal_ccdf_log.hpp>`
`#include <stan/math/prim/scal/prob/lognormal_cdf.hpp>`
`#include <stan/math/prim/scal/prob/lognormal_cdf_log.hpp>`
`#include <stan/math/prim/scal/prob/lognormal_log.hpp>`
`#include <stan/math/prim/scal/prob/lognormal_rng.hpp>`
`#include <stan/math/prim/scal/prob/neg_binomial_2_ccdf_log.hpp>`
`#include <stan/math/prim/scal/prob/neg_binomial_2_cdf.hpp>`
`#include <stan/math/prim/scal/prob/neg_binomial_2_cdf_log.hpp>`
`#include <stan/math/prim/scal/prob/neg_binomial_2_log.hpp>`
`#include <stan/math/prim/scal/prob/neg_binomial_2_log_log.hpp>`
`#include <stan/math/prim/scal/prob/neg_binomial_2_log_rng.hpp>`
`#include <stan/math/prim/scal/prob/neg_binomial_2_rng.hpp>`
`#include <stan/math/prim/scal/prob/neg_binomial_ccdf_log.hpp>`
`#include <stan/math/prim/scal/prob/neg_binomial_cdf.hpp>`
`#include <stan/math/prim/scal/prob/neg_binomial_cdf_log.hpp>`
`#include <stan/math/prim/scal/prob/neg_binomial_log.hpp>`
`#include <stan/math/prim/scal/prob/neg_binomial_rng.hpp>`
`#include <stan/math/prim/scal/prob/normal_ccdf_log.hpp>`
`#include <stan/math/prim/scal/prob/normal_cdf.hpp>`
`#include <stan/math/prim/scal/prob/normal_cdf_log.hpp>`
`#include <stan/math/prim/scal/prob/normal_log.hpp>`
`#include <stan/math/prim/scal/prob/normal_rng.hpp>`
`#include <stan/math/prim/scal/prob/pareto_ccdf_log.hpp>`
`#include <stan/math/prim/scal/prob/pareto_cdf.hpp>`
`#include <stan/math/prim/scal/prob/pareto_cdf_log.hpp>`
`#include <stan/math/prim/scal/prob/pareto_log.hpp>`
`#include <stan/math/prim/scal/prob/pareto_rng.hpp>`
`#include <stan/math/prim/scal/prob/pareto_type_2_ccdf_log.hpp>`
`#include <stan/math/prim/scal/prob/pareto_type_2_cdf.hpp>`
`#include <stan/math/prim/scal/prob/pareto_type_2_cdf_log.hpp>`
`#include <stan/math/prim/scal/prob/pareto_type_2_log.hpp>`
`#include <stan/math/prim/scal/prob/pareto_type_2_rng.hpp>`
`#include <stan/math/prim/scal/prob/poisson_ccdf_log.hpp>`
`#include <stan/math/prim/scal/prob/poisson_cdf.hpp>`
`#include <stan/math/prim/scal/prob/poisson_cdf_log.hpp>`
`#include <stan/math/prim/scal/prob/poisson_log.hpp>`
`#include <stan/math/prim/scal/prob/poisson_log_log.hpp>`
`#include <stan/math/prim/scal/prob/poisson_log_rng.hpp>`
`#include <stan/math/prim/scal/prob/poisson_rng.hpp>`
`#include <stan/math/prim/scal/prob/rayleigh_ccdf_log.hpp>`
`#include <stan/math/prim/scal/prob/rayleigh_cdf.hpp>`
`#include <stan/math/prim/scal/prob/rayleigh_cdf_log.hpp>`
`#include <stan/math/prim/scal/prob/rayleigh_log.hpp>`
`#include <stan/math/prim/scal/prob/rayleigh_rng.hpp>`
`#include <stan/math/prim/scal/prob/scaled_inv_chi_square_ccdf_log.hpp>`
`#include <stan/math/prim/scal/prob/scaled_inv_chi_square_cdf.hpp>`
`#include <stan/math/prim/scal/prob/scaled_inv_chi_square_cdf_log.hpp>`
`#include <stan/math/prim/scal/prob/scaled_inv_chi_square_log.hpp>`
`#include <stan/math/prim/scal/prob/scaled_inv_chi_square_rng.hpp>`
`#include <stan/math/prim/scal/prob/skew_normal_ccdf_log.hpp>`
`#include <stan/math/prim/scal/prob/skew_normal_cdf.hpp>`
`#include <stan/math/prim/scal/prob/skew_normal_cdf_log.hpp>`
`#include <stan/math/prim/scal/prob/skew_normal_log.hpp>`
`#include <stan/math/prim/scal/prob/skew_normal_rng.hpp>`
`#include <stan/math/prim/scal/prob/student_t_ccdf_log.hpp>`
`#include <stan/math/prim/scal/prob/student_t_cdf.hpp>`
`#include <stan/math/prim/scal/prob/student_t_cdf_log.hpp>`
`#include <stan/math/prim/scal/prob/student_t_log.hpp>`
`#include <stan/math/prim/scal/prob/student_t_rng.hpp>`
`#include <stan/math/prim/scal/prob/uniform_ccdf_log.hpp>`
`#include <stan/math/prim/scal/prob/uniform_cdf.hpp>`
`#include <stan/math/prim/scal/prob/uniform_cdf_log.hpp>`
`#include <stan/math/prim/scal/prob/uniform_log.hpp>`
`#include <stan/math/prim/scal/prob/uniform_rng.hpp>`
`#include <stan/math/prim/scal/prob/von_mises_log.hpp>`
`#include <stan/math/prim/scal/prob/von_mises_rng.hpp>`
`#include <stan/math/prim/scal/prob/weibull_ccdf_log.hpp>`
`#include <stan/math/prim/scal/prob/weibull_cdf.hpp>`
`#include <stan/math/prim/scal/prob/weibull_cdf_log.hpp>`
`#include <stan/math/prim/scal/prob/weibull_log.hpp>`
`#include <stan/math/prim/scal/prob/weibull_rng.hpp>`
`#include <stan/math/prim/scal/prob/wiener_log.hpp>`
`#include <cmath>`

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