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Stan Math Library
5.1.0
Automatic Differentiation
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#include <stan/math/prim/fun/abs.hpp>#include <stan/math/prim/fun/accumulator.hpp>#include <stan/math/prim/fun/acos.hpp>#include <stan/math/prim/fun/acosh.hpp>#include <stan/math/prim/fun/add.hpp>#include <stan/math/prim/fun/add_diag.hpp>#include <stan/math/prim/fun/all.hpp>#include <stan/math/prim/fun/any.hpp>#include <stan/math/prim/fun/append_array.hpp>#include <stan/math/prim/fun/append_col.hpp>#include <stan/math/prim/fun/append_row.hpp>#include <stan/math/prim/fun/arg.hpp>#include <stan/math/prim/fun/array_builder.hpp>#include <stan/math/prim/fun/as_bool.hpp>#include <stan/math/prim/fun/as_column_vector_or_scalar.hpp>#include <stan/math/prim/fun/as_array_or_scalar.hpp>#include <stan/math/prim/fun/as_value_column_vector_or_scalar.hpp>#include <stan/math/prim/fun/as_value_column_array_or_scalar.hpp>#include <stan/math/prim/fun/as_value_array_or_scalar.hpp>#include <stan/math/prim/fun/asin.hpp>#include <stan/math/prim/fun/asinh.hpp>#include <stan/math/prim/fun/assign.hpp>#include <stan/math/prim/fun/atan.hpp>#include <stan/math/prim/fun/atan2.hpp>#include <stan/math/prim/fun/atanh.hpp>#include <stan/math/prim/fun/autocorrelation.hpp>#include <stan/math/prim/fun/autocovariance.hpp>#include <stan/math/prim/fun/bessel_first_kind.hpp>#include <stan/math/prim/fun/bessel_second_kind.hpp>#include <stan/math/prim/fun/beta.hpp>#include <stan/math/prim/fun/binary_log_loss.hpp>#include <stan/math/prim/fun/binomial_coefficient_log.hpp>#include <stan/math/prim/fun/block.hpp>#include <stan/math/prim/fun/boost_policy.hpp>#include <stan/math/prim/fun/cbrt.hpp>#include <stan/math/prim/fun/ceil.hpp>#include <stan/math/prim/fun/chol2inv.hpp>#include <stan/math/prim/fun/cholesky_decompose.hpp>#include <stan/math/prim/fun/choose.hpp>#include <stan/math/prim/fun/col.hpp>#include <stan/math/prim/fun/cols.hpp>#include <stan/math/prim/fun/columns_dot_product.hpp>#include <stan/math/prim/fun/columns_dot_self.hpp>#include <stan/math/prim/fun/complex_schur_decompose.hpp>#include <stan/math/prim/fun/conj.hpp>#include <stan/math/prim/fun/constants.hpp>#include <stan/math/prim/fun/copysign.hpp>#include <stan/math/prim/fun/cos.hpp>#include <stan/math/prim/fun/cosh.hpp>#include <stan/math/prim/fun/cov_exp_quad.hpp>#include <stan/math/prim/fun/crossprod.hpp>#include <stan/math/prim/fun/csr_extract.hpp>#include <stan/math/prim/fun/csr_extract_u.hpp>#include <stan/math/prim/fun/csr_extract_v.hpp>#include <stan/math/prim/fun/csr_extract_w.hpp>#include <stan/math/prim/fun/csr_matrix_times_vector.hpp>#include <stan/math/prim/fun/csr_to_dense_matrix.hpp>#include <stan/math/prim/fun/csr_u_to_z.hpp>#include <stan/math/prim/fun/cumulative_sum.hpp>#include <stan/math/prim/fun/determinant.hpp>#include <stan/math/prim/fun/diag_matrix.hpp>#include <stan/math/prim/fun/diag_post_multiply.hpp>#include <stan/math/prim/fun/diag_pre_multiply.hpp>#include <stan/math/prim/fun/diagonal.hpp>#include <stan/math/prim/fun/digamma.hpp>#include <stan/math/prim/fun/dims.hpp>#include <stan/math/prim/fun/distance.hpp>#include <stan/math/prim/fun/divide.hpp>#include <stan/math/prim/fun/dot.hpp>#include <stan/math/prim/fun/dot_product.hpp>#include <stan/math/prim/fun/dot_self.hpp>#include <stan/math/prim/fun/eigen_comparisons.hpp>#include <stan/math/prim/fun/eigendecompose.hpp>#include <stan/math/prim/fun/eigendecompose_sym.hpp>#include <stan/math/prim/fun/eigenvalues.hpp>#include <stan/math/prim/fun/eigenvalues_sym.hpp>#include <stan/math/prim/fun/eigenvectors.hpp>#include <stan/math/prim/fun/eigenvectors_sym.hpp>#include <stan/math/prim/fun/elt_divide.hpp>#include <stan/math/prim/fun/elt_multiply.hpp>#include <stan/math/prim/fun/erf.hpp>#include <stan/math/prim/fun/erfc.hpp>#include <stan/math/prim/fun/eval.hpp>#include <stan/math/prim/fun/exp.hpp>#include <stan/math/prim/fun/exp2.hpp>#include <stan/math/prim/fun/expm1.hpp>#include <stan/math/prim/fun/fabs.hpp>#include <stan/math/prim/fun/factor_U.hpp>#include <stan/math/prim/fun/factor_cov_matrix.hpp>#include <stan/math/prim/fun/falling_factorial.hpp>#include <stan/math/prim/fun/fdim.hpp>#include <stan/math/prim/fun/fft.hpp>#include <stan/math/prim/fun/fill.hpp>#include <stan/math/prim/fun/finite_diff_stepsize.hpp>#include <stan/math/prim/fun/floor.hpp>#include <stan/math/prim/fun/fma.hpp>#include <stan/math/prim/fun/fmax.hpp>#include <stan/math/prim/fun/fmin.hpp>#include <stan/math/prim/fun/fmod.hpp>#include <stan/math/prim/fun/gamma_p.hpp>#include <stan/math/prim/fun/gamma_q.hpp>#include <stan/math/prim/fun/generalized_inverse.hpp>#include <stan/math/prim/fun/get.hpp>#include <stan/math/prim/fun/get_base1.hpp>#include <stan/math/prim/fun/get_base1_lhs.hpp>#include <stan/math/prim/fun/get_imag.hpp>#include <stan/math/prim/fun/get_lp.hpp>#include <stan/math/prim/fun/get_real.hpp>#include <stan/math/prim/fun/gp_dot_prod_cov.hpp>#include <stan/math/prim/fun/gp_exponential_cov.hpp>#include <stan/math/prim/fun/gp_matern32_cov.hpp>#include <stan/math/prim/fun/gp_matern52_cov.hpp>#include <stan/math/prim/fun/gp_periodic_cov.hpp>#include <stan/math/prim/fun/grad_2F1.hpp>#include <stan/math/prim/fun/grad_F32.hpp>#include <stan/math/prim/fun/grad_pFq.hpp>#include <stan/math/prim/fun/grad_reg_inc_beta.hpp>#include <stan/math/prim/fun/grad_reg_inc_gamma.hpp>#include <stan/math/prim/fun/grad_reg_lower_inc_gamma.hpp>#include <stan/math/prim/fun/head.hpp>#include <stan/math/prim/fun/hypergeometric_1F0.hpp>#include <stan/math/prim/fun/hypergeometric_2F1.hpp>#include <stan/math/prim/fun/hypergeometric_2F2.hpp>#include <stan/math/prim/fun/hypergeometric_3F2.hpp>#include <stan/math/prim/fun/hypergeometric_pFq.hpp>#include <stan/math/prim/fun/hypot.hpp>#include <stan/math/prim/fun/identity_matrix.hpp>#include <stan/math/prim/fun/i_times.hpp>#include <stan/math/prim/fun/if_else.hpp>#include <stan/math/prim/fun/imag.hpp>#include <stan/math/prim/fun/inc_beta.hpp>#include <stan/math/prim/fun/initialize.hpp>#include <stan/math/prim/fun/initialize_fill.hpp>#include <stan/math/prim/fun/int_step.hpp>#include <stan/math/prim/fun/inv.hpp>#include <stan/math/prim/fun/inv_Phi.hpp>#include <stan/math/prim/fun/inv_inc_beta.hpp>#include <stan/math/prim/fun/inv_cloglog.hpp>#include <stan/math/prim/fun/inv_erfc.hpp>#include <stan/math/prim/fun/inv_logit.hpp>#include <stan/math/prim/fun/inv_sqrt.hpp>#include <stan/math/prim/fun/inv_square.hpp>#include <stan/math/prim/fun/inverse.hpp>#include <stan/math/prim/fun/inverse_softmax.hpp>#include <stan/math/prim/fun/inverse_spd.hpp>#include <stan/math/prim/fun/isfinite.hpp>#include <stan/math/prim/fun/isinf.hpp>#include <stan/math/prim/fun/isnan.hpp>#include <stan/math/prim/fun/isnormal.hpp>#include <stan/math/prim/fun/is_any_nan.hpp>#include <stan/math/prim/fun/is_inf.hpp>#include <stan/math/prim/fun/is_nan.hpp>#include <stan/math/prim/fun/is_uninitialized.hpp>#include <stan/math/prim/fun/lambert_w.hpp>#include <stan/math/prim/fun/lbeta.hpp>#include <stan/math/prim/fun/ldexp.hpp>#include <stan/math/prim/fun/LDLT_factor.hpp>#include <stan/math/prim/fun/lgamma.hpp>#include <stan/math/prim/fun/linspaced_array.hpp>#include <stan/math/prim/fun/linspaced_int_array.hpp>#include <stan/math/prim/fun/linspaced_row_vector.hpp>#include <stan/math/prim/fun/linspaced_vector.hpp>#include <stan/math/prim/fun/lmgamma.hpp>#include <stan/math/prim/fun/lmultiply.hpp>#include <stan/math/prim/fun/log.hpp>#include <stan/math/prim/fun/logb.hpp>#include <stan/math/prim/fun/log10.hpp>#include <stan/math/prim/fun/log1m.hpp>#include <stan/math/prim/fun/log1m_exp.hpp>#include <stan/math/prim/fun/log1m_inv_logit.hpp>#include <stan/math/prim/fun/log1p.hpp>#include <stan/math/prim/fun/log1p_exp.hpp>#include <stan/math/prim/fun/log2.hpp>#include <stan/math/prim/fun/log_determinant.hpp>#include <stan/math/prim/fun/log_determinant_ldlt.hpp>#include <stan/math/prim/fun/log_determinant_spd.hpp>#include <stan/math/prim/fun/log_diff_exp.hpp>#include <stan/math/prim/fun/log_falling_factorial.hpp>#include <stan/math/prim/fun/log_inv_logit.hpp>#include <stan/math/prim/fun/log_inv_logit_diff.hpp>#include <stan/math/prim/fun/log_mix.hpp>#include <stan/math/prim/fun/log_modified_bessel_first_kind.hpp>#include <stan/math/prim/fun/log_rising_factorial.hpp>#include <stan/math/prim/fun/log_softmax.hpp>#include <stan/math/prim/fun/log_sum_exp.hpp>#include <stan/math/prim/fun/log_sum_exp_signed.hpp>#include <stan/math/prim/fun/logical_and.hpp>#include <stan/math/prim/fun/logical_eq.hpp>#include <stan/math/prim/fun/logical_gt.hpp>#include <stan/math/prim/fun/logical_gte.hpp>#include <stan/math/prim/fun/logical_lt.hpp>#include <stan/math/prim/fun/logical_lte.hpp>#include <stan/math/prim/fun/logical_negation.hpp>#include <stan/math/prim/fun/logical_neq.hpp>#include <stan/math/prim/fun/logical_or.hpp>#include <stan/math/prim/fun/logit.hpp>#include <stan/math/prim/fun/make_nu.hpp>#include <stan/math/prim/fun/matrix_exp.hpp>#include <stan/math/prim/fun/matrix_exp_multiply.hpp>#include <stan/math/prim/fun/matrix_power.hpp>#include <stan/math/prim/fun/max.hpp>#include <stan/math/prim/fun/max_size.hpp>#include <stan/math/prim/fun/max_size_mvt.hpp>#include <stan/math/prim/fun/mdivide_left.hpp>#include <stan/math/prim/fun/mdivide_left_ldlt.hpp>#include <stan/math/prim/fun/mdivide_left_spd.hpp>#include <stan/math/prim/fun/mdivide_left_tri.hpp>#include <stan/math/prim/fun/mdivide_left_tri_low.hpp>#include <stan/math/prim/fun/mdivide_right.hpp>#include <stan/math/prim/fun/mdivide_right_ldlt.hpp>#include <stan/math/prim/fun/mdivide_right_spd.hpp>#include <stan/math/prim/fun/mdivide_right_tri.hpp>#include <stan/math/prim/fun/mdivide_right_tri_low.hpp>#include <stan/math/prim/fun/mean.hpp>#include <stan/math/prim/fun/min.hpp>#include <stan/math/prim/fun/minus.hpp>#include <stan/math/prim/fun/modified_bessel_first_kind.hpp>#include <stan/math/prim/fun/modified_bessel_second_kind.hpp>#include <stan/math/prim/fun/modulus.hpp>#include <stan/math/prim/fun/multiply.hpp>#include <stan/math/prim/fun/multiply_log.hpp>#include <stan/math/prim/fun/multiply_lower_tri_self_transpose.hpp>#include <stan/math/prim/fun/norm.hpp>#include <stan/math/prim/fun/norm1.hpp>#include <stan/math/prim/fun/norm2.hpp>#include <stan/math/prim/fun/num_elements.hpp>#include <stan/math/prim/fun/one_hot_array.hpp>#include <stan/math/prim/fun/one_hot_int_array.hpp>#include <stan/math/prim/fun/one_hot_row_vector.hpp>#include <stan/math/prim/fun/one_hot_vector.hpp>#include <stan/math/prim/fun/ones_array.hpp>#include <stan/math/prim/fun/ones_int_array.hpp>#include <stan/math/prim/fun/ones_row_vector.hpp>#include <stan/math/prim/fun/ones_vector.hpp>#include <stan/math/prim/fun/owens_t.hpp>#include <stan/math/prim/fun/Phi.hpp>#include <stan/math/prim/fun/Phi_approx.hpp>#include <stan/math/prim/fun/plus.hpp>#include <stan/math/prim/fun/poisson_binomial_log_probs.hpp>#include <stan/math/prim/fun/polar.hpp>#include <stan/math/prim/fun/pow.hpp>#include <stan/math/prim/fun/primitive_value.hpp>#include <stan/math/prim/fun/prod.hpp>#include <stan/math/prim/fun/proj.hpp>#include <stan/math/prim/fun/promote_elements.hpp>#include <stan/math/prim/fun/promote_scalar.hpp>#include <stan/math/prim/fun/pseudo_eigenvalues.hpp>#include <stan/math/prim/fun/pseudo_eigenvectors.hpp>#include <stan/math/prim/fun/qr.hpp>#include <stan/math/prim/fun/qr_Q.hpp>#include <stan/math/prim/fun/qr_R.hpp>#include <stan/math/prim/fun/qr_thin.hpp>#include <stan/math/prim/fun/qr_thin_Q.hpp>#include <stan/math/prim/fun/qr_thin_R.hpp>#include <stan/math/prim/fun/quad_form.hpp>#include <stan/math/prim/fun/quad_form_diag.hpp>#include <stan/math/prim/fun/quad_form_sym.hpp>#include <stan/math/prim/fun/quantile.hpp>#include <stan/math/prim/fun/rank.hpp>#include <stan/math/prim/fun/read_corr_L.hpp>#include <stan/math/prim/fun/read_corr_matrix.hpp>#include <stan/math/prim/fun/read_cov_L.hpp>#include <stan/math/prim/fun/read_cov_matrix.hpp>#include <stan/math/prim/fun/real.hpp>#include <stan/math/prim/fun/rep_array.hpp>#include <stan/math/prim/fun/rep_matrix.hpp>#include <stan/math/prim/fun/rep_row_vector.hpp>#include <stan/math/prim/fun/rep_vector.hpp>#include <stan/math/prim/fun/resize.hpp>#include <stan/math/prim/fun/reverse.hpp>#include <stan/math/prim/fun/rising_factorial.hpp>#include <stan/math/prim/fun/round.hpp>#include <stan/math/prim/fun/row.hpp>#include <stan/math/prim/fun/rows.hpp>#include <stan/math/prim/fun/rows_dot_product.hpp>#include <stan/math/prim/fun/rows_dot_self.hpp>#include <stan/math/prim/fun/scalbn.hpp>#include <stan/math/prim/fun/scale_matrix_exp_multiply.hpp>#include <stan/math/prim/fun/scalar_seq_view.hpp>#include <stan/math/prim/fun/scaled_add.hpp>#include <stan/math/prim/fun/sd.hpp>#include <stan/math/prim/fun/segment.hpp>#include <stan/math/prim/fun/serializer.hpp>#include <stan/math/prim/fun/select.hpp>#include <stan/math/prim/fun/sign.hpp>#include <stan/math/prim/fun/signbit.hpp>#include <stan/math/prim/fun/sin.hpp>#include <stan/math/prim/fun/singular_values.hpp>#include <stan/math/prim/fun/sinh.hpp>#include <stan/math/prim/fun/size.hpp>#include <stan/math/prim/fun/size_mvt.hpp>#include <stan/math/prim/fun/size_zero.hpp>#include <stan/math/prim/fun/softmax.hpp>#include <stan/math/prim/fun/sort_asc.hpp>#include <stan/math/prim/fun/sort_desc.hpp>#include <stan/math/prim/fun/sort_indices.hpp>#include <stan/math/prim/fun/sort_indices_asc.hpp>#include <stan/math/prim/fun/sort_indices_desc.hpp>#include <stan/math/prim/fun/sqrt.hpp>#include <stan/math/prim/fun/square.hpp>#include <stan/math/prim/fun/squared_distance.hpp>#include <stan/math/prim/fun/stan_print.hpp>#include <stan/math/prim/fun/step.hpp>#include <stan/math/prim/fun/sub_col.hpp>#include <stan/math/prim/fun/sub_row.hpp>#include <stan/math/prim/fun/subtract.hpp>#include <stan/math/prim/fun/sum.hpp>#include <stan/math/prim/fun/svd.hpp>#include <stan/math/prim/fun/svd_U.hpp>#include <stan/math/prim/fun/svd_V.hpp>#include <stan/math/prim/fun/symmetrize_from_lower_tri.hpp>#include <stan/math/prim/fun/symmetrize_from_upper_tri.hpp>#include <stan/math/prim/fun/tail.hpp>#include <stan/math/prim/fun/tan.hpp>#include <stan/math/prim/fun/tanh.hpp>#include <stan/math/prim/fun/tcrossprod.hpp>#include <stan/math/prim/fun/tgamma.hpp>#include <stan/math/prim/fun/to_array_1d.hpp>#include <stan/math/prim/fun/to_array_2d.hpp>#include <stan/math/prim/fun/to_complex.hpp>#include <stan/math/prim/fun/to_int.hpp>#include <stan/math/prim/fun/to_matrix.hpp>#include <stan/math/prim/fun/to_ref.hpp>#include <stan/math/prim/fun/to_row_vector.hpp>#include <stan/math/prim/fun/to_vector.hpp>#include <stan/math/prim/fun/trace.hpp>#include <stan/math/prim/fun/trace_gen_inv_quad_form_ldlt.hpp>#include <stan/math/prim/fun/trace_gen_quad_form.hpp>#include <stan/math/prim/fun/trace_inv_quad_form_ldlt.hpp>#include <stan/math/prim/fun/trace_quad_form.hpp>#include <stan/math/prim/fun/transpose.hpp>#include <stan/math/prim/fun/trigamma.hpp>#include <stan/math/prim/fun/trunc.hpp>#include <stan/math/prim/fun/typedefs.hpp>#include <stan/math/prim/fun/uniform_simplex.hpp>#include <stan/math/prim/fun/unitspaced_array.hpp>#include <stan/math/prim/fun/value_of.hpp>#include <stan/math/prim/fun/value_of_rec.hpp>#include <stan/math/prim/fun/vec_concat.hpp>#include <stan/math/prim/fun/vector_seq_view.hpp>#include <stan/math/prim/fun/variance.hpp>#include <stan/math/prim/fun/welford_covar_estimator.hpp>#include <stan/math/prim/fun/welford_var_estimator.hpp>#include <stan/math/prim/fun/zeros_array.hpp>#include <stan/math/prim/fun/zeros_int_array.hpp>#include <stan/math/prim/fun/zeros_row_vector.hpp>#include <stan/math/prim/fun/zeros_vector.hpp>