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			649 lines
		
	
	
		
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			Python
		
	
			
		
		
	
	
			649 lines
		
	
	
		
			13 KiB
		
	
	
	
		
			Python
		
	
"""
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    pygments.lexers._stan_builtins
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    ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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    This file contains the names of functions for Stan used by
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    ``pygments.lexers.math.StanLexer. This is for Stan language version 2.29.0.
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    :copyright: Copyright 2006-2025 by the Pygments team, see AUTHORS.
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    :license: BSD, see LICENSE for details.
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"""
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KEYWORDS = (
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    'break',
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    'continue',
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    'else',
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    'for',
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    'if',
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    'in',
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    'print',
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    'reject',
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    'return',
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    'while',
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)
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TYPES = (
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    'cholesky_factor_corr',
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    'cholesky_factor_cov',
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    'corr_matrix',
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    'cov_matrix',
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    'int',
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    'matrix',
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    'ordered',
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    'positive_ordered',
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    'real',
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    'row_vector',
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    'simplex',
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    'unit_vector',
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    'vector',
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    'void',
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    'array',
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    'complex'
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)
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FUNCTIONS = (
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    'abs',
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    'acos',
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    'acosh',
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    'add_diag',
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    'algebra_solver',
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    'algebra_solver_newton',
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    'append_array',
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    'append_col',
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    'append_row',
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    'arg',
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    'asin',
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    'asinh',
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    'atan',
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    'atan2',
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    'atanh',
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    'bernoulli_cdf',
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    'bernoulli_lccdf',
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    'bernoulli_lcdf',
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    'bernoulli_logit_glm_lpmf',
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    'bernoulli_logit_glm_lupmf',
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    'bernoulli_logit_glm_rng',
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    'bernoulli_logit_lpmf',
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    'bernoulli_logit_lupmf',
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    'bernoulli_logit_rng',
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    'bernoulli_lpmf',
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    'bernoulli_lupmf',
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    'bernoulli_rng',
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    'bessel_first_kind',
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    'bessel_second_kind',
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    'beta',
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    'beta_binomial_cdf',
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    'beta_binomial_lccdf',
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						|
    'beta_binomial_lcdf',
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    'beta_binomial_lpmf',
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    'beta_binomial_lupmf',
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    'beta_binomial_rng',
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    'beta_cdf',
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    'beta_lccdf',
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    'beta_lcdf',
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    'beta_lpdf',
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						|
    'beta_lupdf',
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    'beta_proportion_lccdf',
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    'beta_proportion_lcdf',
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    'beta_proportion_rng',
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    'beta_rng',
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    'binary_log_loss',
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    'binomial_cdf',
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						|
    'binomial_coefficient_log',
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    'binomial_lccdf',
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    'binomial_lcdf',
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    'binomial_logit_lpmf',
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    'binomial_logit_lupmf',
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    'binomial_lpmf',
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    'binomial_lupmf',
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    'binomial_rng',
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						|
    'block',
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    'categorical_logit_glm_lpmf',
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    'categorical_logit_glm_lupmf',
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    'categorical_logit_lpmf',
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    'categorical_logit_lupmf',
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    'categorical_logit_rng',
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    'categorical_lpmf',
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    'categorical_lupmf',
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    'categorical_rng',
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    'cauchy_cdf',
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    'cauchy_lccdf',
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    'cauchy_lcdf',
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    'cauchy_lpdf',
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    'cauchy_lupdf',
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    'cauchy_rng',
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    'cbrt',
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    'ceil',
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    'chi_square_cdf',
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    'chi_square_lccdf',
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    'chi_square_lcdf',
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    'chi_square_lpdf',
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    'chi_square_lupdf',
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    'chi_square_rng',
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    'chol2inv',
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    'cholesky_decompose',
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    'choose',
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    'col',
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						|
    'cols',
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    'columns_dot_product',
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    'columns_dot_self',
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    'conj',
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    'cos',
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						|
    'cosh',
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    'cov_exp_quad',
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    'crossprod',
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    'csr_extract_u',
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    'csr_extract_v',
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    'csr_extract_w',
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    'csr_matrix_times_vector',
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    'csr_to_dense_matrix',
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    'cumulative_sum',
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    'dae',
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						|
    'dae_tol',
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    'determinant',
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    'diag_matrix',
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    'diag_post_multiply',
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    'diag_pre_multiply',
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    'diagonal',
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    'digamma',
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    'dims',
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    'dirichlet_lpdf',
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    'dirichlet_lupdf',
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    'dirichlet_rng',
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    'discrete_range_cdf',
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    'discrete_range_lccdf',
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    'discrete_range_lcdf',
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    'discrete_range_lpmf',
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    'discrete_range_lupmf',
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    'discrete_range_rng',
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    'distance',
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    'dot_product',
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    'dot_self',
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    'double_exponential_cdf',
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    'double_exponential_lccdf',
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    'double_exponential_lcdf',
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    'double_exponential_lpdf',
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    'double_exponential_lupdf',
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    'double_exponential_rng',
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    'e',
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    'eigenvalues_sym',
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    'eigenvectors_sym',
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    'erf',
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    'erfc',
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    'exp',
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    'exp2',
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    'exp_mod_normal_cdf',
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    'exp_mod_normal_lccdf',
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    'exp_mod_normal_lcdf',
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    'exp_mod_normal_lpdf',
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    'exp_mod_normal_lupdf',
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    'exp_mod_normal_rng',
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    'expm1',
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    'exponential_cdf',
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    'exponential_lccdf',
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    'exponential_lcdf',
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    'exponential_lpdf',
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    'exponential_lupdf',
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    'exponential_rng',
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    'fabs',
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    'falling_factorial',
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    'fdim',
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    'floor',
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    'fma',
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    'fmax',
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    'fmin',
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    'fmod',
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    'frechet_cdf',
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    'frechet_lccdf',
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    'frechet_lcdf',
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    'frechet_lpdf',
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    'frechet_lupdf',
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    'frechet_rng',
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    'gamma_cdf',
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    'gamma_lccdf',
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    'gamma_lcdf',
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    'gamma_lpdf',
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    'gamma_lupdf',
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    'gamma_p',
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    'gamma_q',
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    'gamma_rng',
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    'gaussian_dlm_obs_lpdf',
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    'gaussian_dlm_obs_lupdf',
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						|
    'generalized_inverse',
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						|
    'get_imag',
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    'get_lp',
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    'get_real',
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						|
    'gumbel_cdf',
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						|
    'gumbel_lccdf',
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						|
    'gumbel_lcdf',
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    'gumbel_lpdf',
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    'gumbel_lupdf',
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    'gumbel_rng',
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    'head',
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						|
    'hmm_hidden_state_prob',
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						|
    'hmm_latent_rng',
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						|
    'hmm_marginal',
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						|
    'hypergeometric_lpmf',
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						|
    'hypergeometric_lupmf',
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						|
    'hypergeometric_rng',
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						|
    'hypot',
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						|
    'identity_matrix',
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						|
    'inc_beta',
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						|
    'int_step',
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						|
    'integrate_1d',
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						|
    'integrate_ode',
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						|
    'integrate_ode_adams',
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						|
    'integrate_ode_bdf',
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						|
    'integrate_ode_rk45',
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						|
    'inv',
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						|
    'inv_chi_square_cdf',
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						|
    'inv_chi_square_lccdf',
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						|
    'inv_chi_square_lcdf',
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						|
    'inv_chi_square_lpdf',
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						|
    'inv_chi_square_lupdf',
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						|
    'inv_chi_square_rng',
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						|
    'inv_cloglog',
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						|
    'inv_erfc',
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						|
    'inv_gamma_cdf',
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						|
    'inv_gamma_lccdf',
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						|
    'inv_gamma_lcdf',
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						|
    'inv_gamma_lpdf',
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						|
    'inv_gamma_lupdf',
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						|
    'inv_gamma_rng',
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						|
    'inv_logit',
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						|
    'inv_Phi',
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						|
    'inv_sqrt',
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						|
    'inv_square',
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						|
    'inv_wishart_lpdf',
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    'inv_wishart_lupdf',
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						|
    'inv_wishart_rng',
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						|
    'inverse',
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						|
    'inverse_spd',
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						|
    'is_inf',
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						|
    'is_nan',
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						|
    'lambert_w0',
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						|
    'lambert_wm1',
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						|
    'lbeta',
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						|
    'lchoose',
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						|
    'ldexp',
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						|
    'lgamma',
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						|
    'linspaced_array',
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						|
    'linspaced_int_array',
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						|
    'linspaced_row_vector',
 | 
						|
    'linspaced_vector',
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						|
    'lkj_corr_cholesky_lpdf',
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						|
    'lkj_corr_cholesky_lupdf',
 | 
						|
    'lkj_corr_cholesky_rng',
 | 
						|
    'lkj_corr_lpdf',
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						|
    'lkj_corr_lupdf',
 | 
						|
    'lkj_corr_rng',
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						|
    'lmgamma',
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						|
    'lmultiply',
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						|
    'log',
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						|
    'log10',
 | 
						|
    'log1m',
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						|
    'log1m_exp',
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						|
    'log1m_inv_logit',
 | 
						|
    'log1p',
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						|
    'log1p_exp',
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						|
    'log2',
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						|
    'log_determinant',
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						|
    'log_diff_exp',
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						|
    'log_falling_factorial',
 | 
						|
    'log_inv_logit',
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						|
    'log_inv_logit_diff',
 | 
						|
    'log_mix',
 | 
						|
    'log_modified_bessel_first_kind',
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						|
    'log_rising_factorial',
 | 
						|
    'log_softmax',
 | 
						|
    'log_sum_exp',
 | 
						|
    'logistic_cdf',
 | 
						|
    'logistic_lccdf',
 | 
						|
    'logistic_lcdf',
 | 
						|
    'logistic_lpdf',
 | 
						|
    'logistic_lupdf',
 | 
						|
    'logistic_rng',
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    'logit',
 | 
						|
    'loglogistic_cdf',
 | 
						|
    'loglogistic_lpdf',
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						|
    'loglogistic_rng',
 | 
						|
    'lognormal_cdf',
 | 
						|
    'lognormal_lccdf',
 | 
						|
    'lognormal_lcdf',
 | 
						|
    'lognormal_lpdf',
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						|
    'lognormal_lupdf',
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						|
    'lognormal_rng',
 | 
						|
    'machine_precision',
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						|
    'map_rect',
 | 
						|
    'matrix_exp',
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						|
    'matrix_exp_multiply',
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						|
    'matrix_power',
 | 
						|
    'max',
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						|
    'mdivide_left_spd',
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						|
    'mdivide_left_tri_low',
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						|
    'mdivide_right_spd',
 | 
						|
    'mdivide_right_tri_low',
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    'mean',
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						|
    'min',
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						|
    'modified_bessel_first_kind',
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						|
    'modified_bessel_second_kind',
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						|
    'multi_gp_cholesky_lpdf',
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						|
    'multi_gp_cholesky_lupdf',
 | 
						|
    'multi_gp_lpdf',
 | 
						|
    'multi_gp_lupdf',
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    'multi_normal_cholesky_lpdf',
 | 
						|
    'multi_normal_cholesky_lupdf',
 | 
						|
    'multi_normal_cholesky_rng',
 | 
						|
    'multi_normal_lpdf',
 | 
						|
    'multi_normal_lupdf',
 | 
						|
    'multi_normal_prec_lpdf',
 | 
						|
    'multi_normal_prec_lupdf',
 | 
						|
    'multi_normal_rng',
 | 
						|
    'multi_student_t_lpdf',
 | 
						|
    'multi_student_t_lupdf',
 | 
						|
    'multi_student_t_rng',
 | 
						|
    'multinomial_logit_lpmf',
 | 
						|
    'multinomial_logit_lupmf',
 | 
						|
    'multinomial_logit_rng',
 | 
						|
    'multinomial_lpmf',
 | 
						|
    'multinomial_lupmf',
 | 
						|
    'multinomial_rng',
 | 
						|
    'multiply_log',
 | 
						|
    'multiply_lower_tri_self_transpose',
 | 
						|
    'neg_binomial_2_cdf',
 | 
						|
    'neg_binomial_2_lccdf',
 | 
						|
    'neg_binomial_2_lcdf',
 | 
						|
    'neg_binomial_2_log_glm_lpmf',
 | 
						|
    'neg_binomial_2_log_glm_lupmf',
 | 
						|
    'neg_binomial_2_log_lpmf',
 | 
						|
    'neg_binomial_2_log_lupmf',
 | 
						|
    'neg_binomial_2_log_rng',
 | 
						|
    'neg_binomial_2_lpmf',
 | 
						|
    'neg_binomial_2_lupmf',
 | 
						|
    'neg_binomial_2_rng',
 | 
						|
    'neg_binomial_cdf',
 | 
						|
    'neg_binomial_lccdf',
 | 
						|
    'neg_binomial_lcdf',
 | 
						|
    'neg_binomial_lpmf',
 | 
						|
    'neg_binomial_lupmf',
 | 
						|
    'neg_binomial_rng',
 | 
						|
    'negative_infinity',
 | 
						|
    'norm',
 | 
						|
    'normal_cdf',
 | 
						|
    'normal_id_glm_lpdf',
 | 
						|
    'normal_id_glm_lupdf',
 | 
						|
    'normal_lccdf',
 | 
						|
    'normal_lcdf',
 | 
						|
    'normal_lpdf',
 | 
						|
    'normal_lupdf',
 | 
						|
    'normal_rng',
 | 
						|
    'not_a_number',
 | 
						|
    'num_elements',
 | 
						|
    'ode_adams',
 | 
						|
    'ode_adams_tol',
 | 
						|
    'ode_adjoint_tol_ctl',
 | 
						|
    'ode_bdf',
 | 
						|
    'ode_bdf_tol',
 | 
						|
    'ode_ckrk',
 | 
						|
    'ode_ckrk_tol',
 | 
						|
    'ode_rk45',
 | 
						|
    'ode_rk45_tol',
 | 
						|
    'one_hot_array',
 | 
						|
    'one_hot_int_array',
 | 
						|
    'one_hot_row_vector',
 | 
						|
    'one_hot_vector',
 | 
						|
    'ones_array',
 | 
						|
    'ones_int_array',
 | 
						|
    'ones_row_vector',
 | 
						|
    'ones_vector',
 | 
						|
    'ordered_logistic_glm_lpmf',
 | 
						|
    'ordered_logistic_glm_lupmf',
 | 
						|
    'ordered_logistic_lpmf',
 | 
						|
    'ordered_logistic_lupmf',
 | 
						|
    'ordered_logistic_rng',
 | 
						|
    'ordered_probit_lpmf',
 | 
						|
    'ordered_probit_lupmf',
 | 
						|
    'ordered_probit_rng',
 | 
						|
    'owens_t',
 | 
						|
    'pareto_cdf',
 | 
						|
    'pareto_lccdf',
 | 
						|
    'pareto_lcdf',
 | 
						|
    'pareto_lpdf',
 | 
						|
    'pareto_lupdf',
 | 
						|
    'pareto_rng',
 | 
						|
    'pareto_type_2_cdf',
 | 
						|
    'pareto_type_2_lccdf',
 | 
						|
    'pareto_type_2_lcdf',
 | 
						|
    'pareto_type_2_lpdf',
 | 
						|
    'pareto_type_2_lupdf',
 | 
						|
    'pareto_type_2_rng',
 | 
						|
    'Phi',
 | 
						|
    'Phi_approx',
 | 
						|
    'pi',
 | 
						|
    'poisson_cdf',
 | 
						|
    'poisson_lccdf',
 | 
						|
    'poisson_lcdf',
 | 
						|
    'poisson_log_glm_lpmf',
 | 
						|
    'poisson_log_glm_lupmf',
 | 
						|
    'poisson_log_lpmf',
 | 
						|
    'poisson_log_lupmf',
 | 
						|
    'poisson_log_rng',
 | 
						|
    'poisson_lpmf',
 | 
						|
    'poisson_lupmf',
 | 
						|
    'poisson_rng',
 | 
						|
    'polar',
 | 
						|
    'positive_infinity',
 | 
						|
    'pow',
 | 
						|
    'print',
 | 
						|
    'prod',
 | 
						|
    'proj',
 | 
						|
    'qr_Q',
 | 
						|
    'qr_R',
 | 
						|
    'qr_thin_Q',
 | 
						|
    'qr_thin_R',
 | 
						|
    'quad_form',
 | 
						|
    'quad_form_diag',
 | 
						|
    'quad_form_sym',
 | 
						|
    'quantile',
 | 
						|
    'rank',
 | 
						|
    'rayleigh_cdf',
 | 
						|
    'rayleigh_lccdf',
 | 
						|
    'rayleigh_lcdf',
 | 
						|
    'rayleigh_lpdf',
 | 
						|
    'rayleigh_lupdf',
 | 
						|
    'rayleigh_rng',
 | 
						|
    'reduce_sum',
 | 
						|
    'reject',
 | 
						|
    'rep_array',
 | 
						|
    'rep_matrix',
 | 
						|
    'rep_row_vector',
 | 
						|
    'rep_vector',
 | 
						|
    'reverse',
 | 
						|
    'rising_factorial',
 | 
						|
    'round',
 | 
						|
    'row',
 | 
						|
    'rows',
 | 
						|
    'rows_dot_product',
 | 
						|
    'rows_dot_self',
 | 
						|
    'scale_matrix_exp_multiply',
 | 
						|
    'scaled_inv_chi_square_cdf',
 | 
						|
    'scaled_inv_chi_square_lccdf',
 | 
						|
    'scaled_inv_chi_square_lcdf',
 | 
						|
    'scaled_inv_chi_square_lpdf',
 | 
						|
    'scaled_inv_chi_square_lupdf',
 | 
						|
    'scaled_inv_chi_square_rng',
 | 
						|
    'sd',
 | 
						|
    'segment',
 | 
						|
    'sin',
 | 
						|
    'singular_values',
 | 
						|
    'sinh',
 | 
						|
    'size',
 | 
						|
    'skew_double_exponential_cdf',
 | 
						|
    'skew_double_exponential_lccdf',
 | 
						|
    'skew_double_exponential_lcdf',
 | 
						|
    'skew_double_exponential_lpdf',
 | 
						|
    'skew_double_exponential_lupdf',
 | 
						|
    'skew_double_exponential_rng',
 | 
						|
    'skew_normal_cdf',
 | 
						|
    'skew_normal_lccdf',
 | 
						|
    'skew_normal_lcdf',
 | 
						|
    'skew_normal_lpdf',
 | 
						|
    'skew_normal_lupdf',
 | 
						|
    'skew_normal_rng',
 | 
						|
    'softmax',
 | 
						|
    'sort_asc',
 | 
						|
    'sort_desc',
 | 
						|
    'sort_indices_asc',
 | 
						|
    'sort_indices_desc',
 | 
						|
    'sqrt',
 | 
						|
    'sqrt2',
 | 
						|
    'square',
 | 
						|
    'squared_distance',
 | 
						|
    'std_normal_cdf',
 | 
						|
    'std_normal_lccdf',
 | 
						|
    'std_normal_lcdf',
 | 
						|
    'std_normal_lpdf',
 | 
						|
    'std_normal_lupdf',
 | 
						|
    'std_normal_rng',
 | 
						|
    'step',
 | 
						|
    'student_t_cdf',
 | 
						|
    'student_t_lccdf',
 | 
						|
    'student_t_lcdf',
 | 
						|
    'student_t_lpdf',
 | 
						|
    'student_t_lupdf',
 | 
						|
    'student_t_rng',
 | 
						|
    'sub_col',
 | 
						|
    'sub_row',
 | 
						|
    'sum',
 | 
						|
    'svd_U',
 | 
						|
    'svd_V',
 | 
						|
    'symmetrize_from_lower_tri',
 | 
						|
    'tail',
 | 
						|
    'tan',
 | 
						|
    'tanh',
 | 
						|
    'target',
 | 
						|
    'tcrossprod',
 | 
						|
    'tgamma',
 | 
						|
    'to_array_1d',
 | 
						|
    'to_array_2d',
 | 
						|
    'to_complex',
 | 
						|
    'to_matrix',
 | 
						|
    'to_row_vector',
 | 
						|
    'to_vector',
 | 
						|
    'trace',
 | 
						|
    'trace_gen_quad_form',
 | 
						|
    'trace_quad_form',
 | 
						|
    'trigamma',
 | 
						|
    'trunc',
 | 
						|
    'uniform_cdf',
 | 
						|
    'uniform_lccdf',
 | 
						|
    'uniform_lcdf',
 | 
						|
    'uniform_lpdf',
 | 
						|
    'uniform_lupdf',
 | 
						|
    'uniform_rng',
 | 
						|
    'uniform_simplex',
 | 
						|
    'variance',
 | 
						|
    'von_mises_cdf',
 | 
						|
    'von_mises_lccdf',
 | 
						|
    'von_mises_lcdf',
 | 
						|
    'von_mises_lpdf',
 | 
						|
    'von_mises_lupdf',
 | 
						|
    'von_mises_rng',
 | 
						|
    'weibull_cdf',
 | 
						|
    'weibull_lccdf',
 | 
						|
    'weibull_lcdf',
 | 
						|
    'weibull_lpdf',
 | 
						|
    'weibull_lupdf',
 | 
						|
    'weibull_rng',
 | 
						|
    'wiener_lpdf',
 | 
						|
    'wiener_lupdf',
 | 
						|
    'wishart_lpdf',
 | 
						|
    'wishart_lupdf',
 | 
						|
    'wishart_rng',
 | 
						|
    'zeros_array',
 | 
						|
    'zeros_int_array',
 | 
						|
    'zeros_row_vector'
 | 
						|
)
 | 
						|
 | 
						|
DISTRIBUTIONS = (
 | 
						|
    'bernoulli',
 | 
						|
    'bernoulli_logit',
 | 
						|
    'bernoulli_logit_glm',
 | 
						|
    'beta',
 | 
						|
    'beta_binomial',
 | 
						|
    'binomial',
 | 
						|
    'binomial_logit',
 | 
						|
    'categorical',
 | 
						|
    'categorical_logit',
 | 
						|
    'categorical_logit_glm',
 | 
						|
    'cauchy',
 | 
						|
    'chi_square',
 | 
						|
    'dirichlet',
 | 
						|
    'discrete_range',
 | 
						|
    'double_exponential',
 | 
						|
    'exp_mod_normal',
 | 
						|
    'exponential',
 | 
						|
    'frechet',
 | 
						|
    'gamma',
 | 
						|
    'gaussian_dlm_obs',
 | 
						|
    'gumbel',
 | 
						|
    'hypergeometric',
 | 
						|
    'inv_chi_square',
 | 
						|
    'inv_gamma',
 | 
						|
    'inv_wishart',
 | 
						|
    'lkj_corr',
 | 
						|
    'lkj_corr_cholesky',
 | 
						|
    'logistic',
 | 
						|
    'loglogistic',
 | 
						|
    'lognormal',
 | 
						|
    'multi_gp',
 | 
						|
    'multi_gp_cholesky',
 | 
						|
    'multi_normal',
 | 
						|
    'multi_normal_cholesky',
 | 
						|
    'multi_normal_prec',
 | 
						|
    'multi_student_t',
 | 
						|
    'multinomial',
 | 
						|
    'multinomial_logit',
 | 
						|
    'neg_binomial',
 | 
						|
    'neg_binomial_2',
 | 
						|
    'neg_binomial_2_log',
 | 
						|
    'neg_binomial_2_log_glm',
 | 
						|
    'normal',
 | 
						|
    'normal_id_glm',
 | 
						|
    'ordered_logistic',
 | 
						|
    'ordered_logistic_glm',
 | 
						|
    'ordered_probit',
 | 
						|
    'pareto',
 | 
						|
    'pareto_type_2',
 | 
						|
    'poisson',
 | 
						|
    'poisson_log',
 | 
						|
    'poisson_log_glm',
 | 
						|
    'rayleigh',
 | 
						|
    'scaled_inv_chi_square',
 | 
						|
    'skew_double_exponential',
 | 
						|
    'skew_normal',
 | 
						|
    'std_normal',
 | 
						|
    'student_t',
 | 
						|
    'uniform',
 | 
						|
    'von_mises',
 | 
						|
    'weibull',
 | 
						|
    'wiener',
 | 
						|
    'wishart',
 | 
						|
)
 | 
						|
 | 
						|
RESERVED = (
 | 
						|
    'repeat',
 | 
						|
    'until',
 | 
						|
    'then',
 | 
						|
    'true',
 | 
						|
    'false',
 | 
						|
    'var',
 | 
						|
    'struct',
 | 
						|
    'typedef',
 | 
						|
    'export',
 | 
						|
    'auto',
 | 
						|
    'extern',
 | 
						|
    'var',
 | 
						|
    'static',
 | 
						|
)
 |