# This file is semicolon delimited StanFunction; Arguments; ReturnType; Page abs;(int x);int;407 abs;(real x);real;407 abs;(T x);R;398 acosh;(T x);R;413 acos;(T x);R;412 append_col;(matrix x, matrix y);matrix;442 append_col;(matrix x, vector y);matrix;442 append_col;(real x, row_vector y);row_vector;443 append_col;(row_vector x, real y);row_vector;443 append_col;(row_vector x, row_vector y);row_vector;443 append_col;(vector x, matrix y);matrix;443 append_col;(vector x, vector y);matrix;443 append_row;(matrix x, matrix y);matrix;443 append_row;(matrix x, row_vector y);matrix;443 append_row;(real x, vector y);vector;443 append_row;(row_vector x, matrix y);matrix;443 append_row;(row_vector x, row_vector y);matrix;443 append_row;(vector x, real y);vector;443 append_row;(vector x, vector y);vector;443 asinh;(T x);R;413 asin;(T x);R;412 atan2;(real x, real y);real;412 atanh;(T x);R;413 atan;(T x);R;412 bernoulli_cdf;(ints y, reals theta);real;466 bernoulli_lccdf;(ints y \textbar \ reals theta);real;466 bernoulli_lcdf;(ints y \textbar \ reals theta);real;466 bernoulli_logit_lpmf;(ints y \textbar \ reals alpha);real;467 bernoulli_logit;~;real;467 bernoulli_logit_rng;(real alpha);int;467 bernoulli_lpmf;(ints y \textbar \ reals theta);real;466 bernoulli;~;real;466 bernoulli_rng;(real theta);int;466 bessel_first_kind;(int v, real x);real;418 bessel_second_kind;(int v, real x);real;418 beta_binomial_cdf;(ints n, ints N, reals alpha, reals beta);real;470 beta_binomial_lccdf;(ints n \textbar \ ints N, reals alpha, reals beta);real;471 beta_binomial_lcdf;(ints n \textbar \ ints N, reals alpha, reals beta);real;470 beta_binomial_lpmf;(ints n \textbar \ ints N, reals alpha, reals beta);real;470 beta_binomial;~;real;470 beta_binomial_rng;(int N, real alpha, real beta);int;471 beta_cdf;(reals theta, reals alpha, reals beta);real;501 beta_lccdf;(reals theta \textbar \ reals alpha, reals beta);real;501 beta_lcdf;(reals theta \textbar \ reals alpha, reals beta);real;501 beta_lpdf;(reals theta \textbar \ reals alpha, reals beta);real;501 beta;~;real;501 beta_rng;(real alpha, real beta);real;502 binary_log_loss;(int y, real y_hat);real;415 binomial_cdf;(ints n, ints N, reals theta);real;468 binomial_coefficient_log;(real x, real y);real;418 binomial_lccdf;(ints n \textbar \ ints N, reals theta);real;469 binomial_lcdf;(ints n \textbar \ ints N, reals theta);real;469 binomial_logit_lpmf;(ints n \textbar \ ints N, reals alpha);real;470 binomial_logit;~;real;469 binomial_lpmf;(ints n \textbar \ ints N, reals theta);real;468 binomial;~;real;468 binomial_rng;(int N, real theta);int;469 block;(matrix x, int i, int j, int n_rows, int n_cols);matrix;441 categorical_logit_lpmf;(ints y \textbar \ vector beta);real;472 categorical_logit;~;real;472 categorical_lpmf;(ints y \textbar \ vector theta);real;472 categorical;~;real;472 categorical_rng;(vector theta);int;472 cauchy_cdf;(reals y, reals mu, reals sigma);real;485 cauchy_lccdf;(reals y \textbar \ reals mu, reals sigma);real;485 cauchy_lcdf;(reals y \textbar \ reals mu, reals sigma);real;485 cauchy_lpdf;(reals y \textbar \ reals mu, reals sigma);real;485 cauchy;~;real;485 cauchy_rng;(real mu, real sigma);real;485 cbrt;(T x);R;409 ceil;(T x);R;409 chi_square_cdf;(reals y, reals nu);real;490 chi_square_lccdf;(reals y \textbar \ reals nu);real;490 chi_square_lcdf;(reals y \textbar \ reals nu);real;490 chi_square_lpdf;(reals y \textbar \ reals nu);real;490 chi_square;~;real;490 chi_square_rng;(real nu);real;490 cholesky_decompose;(matrix A);matrix;449 choose;(int x, int y);int;418 col;(matrix x, int n);vector;441 cols;(matrix x);int;430 cols;(row_vector x);int;430 cols;(vector x);int;430 columns_dot_product;(matrix x, matrix y);row_vector;435 columns_dot_product;(row_vector x, row_vector y);row_vector;435 columns_dot_product;(vector x, vector y);row_vector;435 columns_dot_self;(matrix x);row_vector;436 columns_dot_self;(row_vector x);row_vector;435 columns_dot_self;(vector x);row_vector;435 cosh;(T x);R;413 cos;(T x);R;411 cov_exp_quad;(real[] x1, real[] x2 real sigma, real l);matrix;445 cov_exp_quad;(real[] x, real sigma, real l);matrix;445 cov_exp_quad;(row_vectors x1, row_vectors x2 real sigma, real l);matrix;445 cov_exp_quad;(row_vectors x, real sigma, real l);matrix;445 cov_exp_quad;(vectors x1, vectors x2 real sigma, real l);matrix;445 cov_exp_quad;(vectors x, real sigma, real l);matrix;445 crossprod;(matrix x);matrix;436 csr_extract_u;(matrix a);int[];452 csr_extract_v;(matrix a);int[];452 csr_extract_w;(matrix a);vector;452 csr_matrix_times_vector;(int m, int n, vector w int[] v, int[] u, vector b);vector;453 csr_to_dense_matrix;(int m, int n, vector w, int[] v, int[] u);matrix;452 cumulative_sum;(real[] x);real[];444 cumulative_sum;(row_vector rv);row_vector;444 cumulative_sum;(vector v);vector;444 determinant;(matrix A);real;448 diag_matrix;(vector x);matrix;440 diagonal;(matrix x);vector;440 diag_post_multiply;(matrix m, row_vector rv);matrix;437 diag_post_multiply;(matrix m, vector v);matrix;437 diag_pre_multiply;(row_vector rv, matrix m);matrix;437 diag_pre_multiply;(vector v, matrix m);matrix;437 digamma;(T x);R;417 dims;(T x);int[];426 dirichlet_lpdf;(vector theta \textbar \ vector alpha);real;513 dirichlet;~;real;513 dirichlet_rng;(vector alpha);vector;513 distance;(row_vector x, row_vector y);real;425 distance;(row_vector x, vector y);real;425 distance;(vector x, row_vector y);real;425 distance;(vector x, vector y);real;425 dot_product;(row_vector x, row_vector y);real;435 dot_product;(row_vector x, vector y);real;435 dot_product;(vector x, row_vector y);real;435 dot_product;(vector x, vector y);real;435 dot_self;(row_vector x);real;435 dot_self;(vector x);real;435 double_exponential_cdf;(reals y, reals mu, reals sigma);real;486 double_exponential_lccdf;(reals y \textbar \ reals mu, reals sigma);real;486 double_exponential_lcdf;(reals y \textbar \ reals mu, reals sigma);real;486 double_exponential_lpdf;(reals y \textbar \ reals mu, reals sigma);real;486 double_exponential;~;real;486 double_exponential_rng;(real mu, real sigma);real;487 eigenvalues_sym;(matrix A);vector;448 eigenvectors_sym;(matrix A);matrix;448 e;();real;401 erfc;(T x);R;415 erf;(T x);R;414 exp2;(T x);R;410 expm1;(T x);R;420 exp_mod_normal_cdf;(reals y, reals mu, reals sigma reals lambda);real;482 exp_mod_normal_lccdf;(reals y \textbar \ reals mu, reals sigma reals lambda);real;482 exp_mod_normal_lcdf;(reals y \textbar \ reals mu, reals sigma reals lambda);real;482 exp_mod_normal_lpdf;(reals y \textbar \ reals mu, reals sigma reals lambda);real;482 exp_mod_normal;~;real;482 exp_mod_normal_rng;(real mu, real sigma, real lambda);real;482 exponential_cdf;(reals y, reals beta);real;493 exponential_lccdf;(reals y \textbar \ reals beta);real;493 exponential_lcdf;(reals y \textbar \ reals beta);real;493 exponential_lpdf;(reals y \textbar \ reals beta);real;492 exponential;~;real;492 exponential_rng;(real beta);real;493 exp;(T x);R;410 fabs;(T x);R;407 falling_factorial;(real x, real n);real;419 fdim;(real x, real y);real;407 floor;(T x);R;408 fma;(real x, real y, real z);real;420 fmax;(real x, real y);real;408 fmin;(real x, real y);real;408 fmod;(real x, real y);real;408 frechet_cdf;(reals y, reals alpha, reals sigma);real;496 frechet_lccdf;(reals y \textbar \ reals alpha, reals sigma);real;496 frechet_lcdf;(reals y \textbar \ reals alpha, reals sigma);real;496 frechet_lpdf;(reals y \textbar \ reals alpha, reals sigma);real;496 frechet;~;real;496 frechet_rng;(real alpha, real sigma);real;496 gamma_cdf;(reals y, reals alpha, reals beta);real;493 gamma_lccdf;(reals y \textbar \ reals alpha, reals beta);real;494 gamma_lcdf;(reals y \textbar \ reals alpha, reals beta);real;493 gamma_lpdf;(reals y \textbar \ reals alpha, reals beta);real;493 gamma_p;(real a, real z);real;417 gamma_q;(real a, real z);real;417 gamma;~;real;493 gamma_rng;(real alpha, real beta);real;494 gaussian_dlm_obs_lpdf;(matrix y \textbar \ matrix F, matrix G, matrix V matrix W, vector m0, matrix C0);real;512 gaussian_dlm_obs_lpdf;(matrix y \textbar \ matrix F, matrix G, vector V matrix W, vector m0, matrix C0);real;512 gaussian_dlm_obs;~;real;512 get_lp;();real;402 gumbel_cdf;(reals y, reals mu, reals beta);real;488 gumbel_lccdf;(reals y \textbar \ reals mu, reals beta);real;488 gumbel_lcdf;(reals y \textbar \ reals mu, reals beta);real;488 gumbel_lpdf;(reals y \textbar \ reals mu, reals beta);real;488 gumbel;~;real;488 gumbel_rng;(real mu, real beta);real;488 head;(row_vector rv, int n);row_vector;441 head;(T[] sv, int n);T[];442 head;(vector v, int n);vector;441 hypergeometric_lpmf;(int n \textbar \ int N, int a, int b);real;471 hypergeometric;~;real;471 hypergeometric_rng;(int N, real a, real b);int;471 hypot;(real x, real y);real;411 inc_beta;(real alpha, real beta, real x);real;416 integrate_ode_bdf;(function ode, real[] initial_state, real initial_time, real[] times, real[] theta, real[] x_r, int[] x_i);real[];458 integrate_ode_bdf;(function ode, real[] initial_state, real initial_time, real[] times, real[] theta, real[] x_r, int[] x_i, real rel_tol, real abs_tol, int max_num_steps);real[];458 integrate_ode;(function ode, real[] initial_state, real initial_time, real[] times, real[] theta, real[] x_r, int[] x_i);real[ , ];458 integrate_ode_rk45;(function ode, real[] initial_state, real initial_time, real[] times, real[] theta, real[] x_r, int[] x_i);real[ , ];458 integrate_ode_rk45;(function ode, real[] initial_state, real initial_time, real[] times, real[] theta, real[] x_r, int[] x_i, real rel_tol, real abs_tol, int max_num_steps);real[ , ];458 int_step;(int x);int;398 int_step;(real x);int;398 inv_chi_square_cdf;(reals y, reals nu);real;491 inv_chi_square_lccdf;(reals y \textbar \ reals nu);real;491 inv_chi_square_lcdf;(reals y \textbar \ reals nu);real;491 inv_chi_square_lpdf;(reals y \textbar \ reals nu);real;491 inv_chi_square;~;real;491 inv_chi_square_rng;(real nu);real;491 inv_cloglog;(T x);R;414 inverse;(matrix A);matrix;448 inverse_spd;(matrix A);matrix;448 inv_gamma_cdf;(reals y, reals alpha, reals beta);real;494 inv_gamma_lccdf;(reals y \textbar \ reals alpha, reals beta);real;494 inv_gamma_lcdf;(reals y \textbar \ reals alpha, reals beta);real;494 inv_gamma_lpdf;(reals y \textbar \ reals alpha, reals beta);real;494 inv_gamma;~;real;494 inv_gamma_rng;(real alpha, real beta);real;494 inv_logit;(T x);R;414 inv_Phi;(T x);R;415 inv_sqrt;(T x);R;411 inv_square;(T x);R;411 inv;(T x);R;411 inv_wishart_lpdf;(matrix W \textbar \ real nu, matrix Sigma);real;518 inv_wishart;~;real;518 inv_wishart_rng;(real nu, matrix Sigma);matrix;518 is_inf;(real x);int;405 is_nan;(real x);int;405 lbeta;(real alpha, real beta);real;416 lchoose;(real x, real y);real;419 lgamma;(T x);R;416 lkj_corr_cholesky_lpdf;(matrix L \textbar \ real eta);real;516 lkj_corr_cholesky;~;real;516 lkj_corr_cholesky_rng;(int K, real eta);matrix;516 lkj_corr_lpdf;(matrix y \textbar \ real eta);real;515 lkj_corr;~;real;514 lkj_corr_rng;(int K, real eta);matrix;515 lmgamma;(int n, real x);real;417 lmultiply;(real x, real y);real;421 log10;();real;401 log10;(T x);R;410 log1m_exp;(T x);R;422 log1m_inv_logit;(T x);R;422 log1m;(T x);R;421 log1p_exp;(T x);R;421 log1p;(T x);R;421 log2;();real;401 log2;(T x);R;410 log_determinant;(matrix A);real;448 log_diff_exp;(real x, real y);real;422 log_falling_factorial;(real x, real n);real;420 log_inv_logit;(T x);R;422 logistic_cdf;(reals y, reals mu, reals sigma);real;487 logistic_lccdf;(reals y \textbar \ reals mu, reals sigma);real;487 logistic_lcdf;(reals y \textbar \ reals mu, reals sigma);real;487 logistic_lpdf;(reals y \textbar \ reals mu, reals sigma);real;487 logistic;~;real;487 logistic_rng;(real mu, real sigma);real;487 logit;(T x);R;414 log_mix;(real theta, real lp1, real lp2);real;422 lognormal_cdf;(reals y, reals mu, reals sigma);real;489 lognormal_lccdf;(reals y \textbar \ reals mu, reals sigma);real;489 lognormal_lcdf;(reals y \textbar \ reals mu, reals sigma);real;489 lognormal_lpdf;(reals y \textbar \ reals mu, reals sigma);real;489 lognormal;~;real;489 lognormal_rng;(real mu, real beta);real;489 log_rising_factorial;(real x, real n);real;420 log_softmax;(vector x);vector;444 log_sum_exp;(matrix x);real;438 log_sum_exp;(real x[]);real;424 log_sum_exp;(real x, real y);real;422 log_sum_exp;(row_vector x);real;437 log_sum_exp;(vector x);real;437 log;(T x);R;410 machine_precision;();real;401 matrix_exp;(matrix A);matrix;447 max;(int x[]);int;423 max;(int x, int y);int;398 max;(matrix x);real;438 max;(real x[]);real;423 max;(row_vector x);real;438 max;(vector x);real;438 mdivide_left_spd;(matrix A, matrix B);vector;447 mdivide_left_spd;(matrix A, vector b);matrix;447 mdivide_left_tri_low;(matrix A, matrix B);matrix;446 mdivide_left_tri_low;(matrix A, vector b);vector;446 mdivide_right_spd;(matrix B, matrix A);matrix;447 mdivide_right_spd;(row_vector b, matrix A);row_vector;447 mdivide_right_tri_low;(matrix B, matrix A);matrix;447 mdivide_right_tri_low;(row_vector b, matrix A);row_vector;447 mean;(matrix x);real;439 mean;(real x[]);real;424 mean;(row_vector x);real;439 mean;(vector x);real;439 min;(int x[]);int;423 min;(int x, int y);int;398 min;(matrix x);real;438 min;(real x[]);real;423 min;(row_vector x);real;438 min;(vector x);real;438 modified_bessel_first_kind;(int v, real z);real;419 modified_bessel_second_kind;(int v, real z);real;419 multi_gp_cholesky_lpdf;(matrix y \textbar \ matrix L, vector w);real;510 multi_gp_cholesky;~;real;510 multi_gp_lpdf;(matrix y \textbar \ matrix Sigma, vector w);real;509 multi_gp;~;real;509 multinomial_lpmf;(int[] y \textbar \ vector theta);real;479 multinomial;~;real;479 multinomial_rng;(vector theta, int N);int[];479 multi_normal_cholesky_lpdf;(row_vectors y \textbar \ row_vectors mu matrix L);real;509 multi_normal_cholesky_lpdf;(row_vectors y \textbar \ vectors mu matrix L);real;508 multi_normal_cholesky_lpdf;(vectors y \textbar \ row_vectors mu matrix L);real;508 multi_normal_cholesky_lpdf;(vectors y \textbar \ vectors mu matrix L);real;508 multi_normal_cholesky;~;real;508 multi_normal_cholesky_rng;(vector mu, matrix L);vector;509 multi_normal_lpdf;(row_vectors y \textbar \ row_vectors mu, matrix Sigma);real;507 multi_normal_lpdf;(row_vectors y \textbar \ vectors mu, matrix Sigma);real;506 multi_normal_lpdf;(vectors y \textbar \ row_vectors mu, matrix Sigma);real;506 multi_normal_lpdf;(vectors y \textbar \ vectors mu, matrix Sigma);real;506 multi_normal_prec_lpdf;(row_vectors y \textbar \ row_vectors mu matrix Omega);real;508 multi_normal_prec_lpdf;(row_vectors y \textbar \ vectors mu matrix Omega);real;507 multi_normal_prec_lpdf;(vectors y \textbar \ row_vectors mu matrix Omega);real;507 multi_normal_prec_lpdf;(vectors y \textbar \ vectors mu matrix Omega);real;507 multi_normal_prec;~;real;507 multi_normal;~;real;506 multi_normal_rng;(vector mu, matrix Sigma);vector;507 multiply_log;(real x, real y);real;421 multiply_lower_tri_self_transpose;(matrix x);matrix;437 multi_student_t_lpdf;(row_vectors y \textbar \ real nu, row_vectors mu matrix Sigma);real;511 multi_student_t_lpdf;(row_vectors y \textbar \ real nu, vectors mu matrix Sigma);real;511 multi_student_t_lpdf;(vectors y \textbar \ real nu, row_vectors mu matrix Sigma);real;511 multi_student_t_lpdf;(vectors y \textbar \ real nu, vectors mu matrix Sigma);real;511 multi_student_t;~;real;510 multi_student_t_rng;(real nu, vector mu, matrix Sigma);vector;511 negative_infinity;();real;401 neg_binomial_2_cdf;(ints n, reals mu, reals phi);real;476 neg_binomial_2_lccdf;(ints n \textbar \ reals mu, reals phi);real;476 neg_binomial_2_lcdf;(ints n \textbar \ reals mu, reals phi);real;476 neg_binomial_2_log_lpmf;(ints y \textbar \ reals eta, reals phi);real;476 neg_binomial_2_log;~;real;476 neg_binomial_2_log_rng;(real eta, real phi);int;477 neg_binomial_2_lpmf;(ints y \textbar \ reals mu, reals phi);real;475 neg_binomial_2;~;real;475 neg_binomial_2_rng;(real mu, real phi);int;476 neg_binomial_cdf;(ints n, reals alpha, reals beta);real;474 neg_binomial_lccdf;(ints n \textbar \ reals alpha, reals beta);real;475 neg_binomial_lcdf;(ints n \textbar \ reals alpha, reals beta);real;474 neg_binomial_lpmf;(ints n \textbar \ reals alpha, reals beta);real;474 neg_binomial;~;real;474 neg_binomial_rng;(real alpha, real beta);int;475 normal_cdf;(reals y, reals mu, reals sigma);real;481 normal_lccdf;(reals y \textbar \ reals mu, reals sigma);real;481 normal_lcdf;(reals y \textbar \ reals mu, reals sigma);real;481 normal_lpdf;(reals y \textbar \ reals mu, reals sigma);real;481 normal;~;real;481 normal_rng;(real mu \textbar \ real sigma);real;482 not_a_number;();real;401 num_elements;(matrix x);int;430 num_elements;(row_vector x);int;430 num_elements;(T[] x);int;426 num_elements;(vector x);int;430 operator-;(int x);int;397 operator+;(int x);int;397 operator!;(int x);int;404 operator-;(int x, int y);int;397 operator/;(int x, int y);int;397 operator*;(int x, int y);int;397 operator\%;(int x, int y);int;397 operator+;(int x, int y);int;397 operator<;(int x, int y);int;402 operator<=;(int x, int y);int;403 operator==;(int x, int y);int;403 operator>=;(int x, int y);int;403 operator>;(int x, int y);int;403 operator!=;(int x, int y);int;403 operator||;(int x, int y);int;404 operator&&;(int x, int y);int;404 operator\;(matrix A, matrix B);matrix;446 operator\;(matrix A, vector b);vector;446 operator/;(matrix B, matrix A);matrix;446 operator-;(matrix x);matrix;431 operator';(matrix x);matrix;434 operator-;(matrix x, matrix y);matrix;431 operator+;(matrix x, matrix y);matrix;431 operator*;(matrix x, matrix y);matrix;432 operator.*;(matrix x, matrix y);matrix;433 operator./;(matrix x, matrix y);matrix;434 operator*;(matrix x, real y);matrix;432 operator+;(matrix x, real y);matrix;432 operator-;(matrix x, real y);matrix;433 operator/;(matrix x, real y);matrix;433 operator./;(matrix x, real y);matrix;434 operator*;(matrix x, vector y);vector;432 operator!;(real x);int;404 operator*;(real x, matrix y);matrix;431 operator+;(real x, matrix y);matrix;432 operator-;(real x, matrix y);matrix;433 operator./;(real x, matrix y);matrix;434 operator-;(real x);real;406 operator+;(real x);real;406 operator<;(real x, real y);int;402 operator<=;(real x, real y);int;403 operator==;(real x, real y);int;403 operator>=;(real x, real y);int;403 operator>;(real x, real y);int;403 operator!=;(real x, real y);int;403 operator||;(real x, real y);int;404 operator&&;(real x, real y);int;404 operator+;(real x, real y);real;405 operator^;(real x, real y);real;406 operator-;(real x, real y);real;406 operator/;(real x, real y);real;406 operator*;(real x, real y);real;406 operator*;(real x, row_vector y);row_vector;431 operator+;(real x, row_vector y);row_vector;432 operator-;(real x, row_vector y);row_vector;433 operator./;(real x, row_vector y);row_vector;434 operator*;(real x, vector y);vector;431 operator+;(real x, vector y);vector;432 operator-;(real x, vector y);vector;433 operator./;(real x, vector y);vector;433 operator/;(row_vector b, matrix A);row_vector;446 operator*;(row_vector x, matrix y);row_vector;432 operator*;(row_vector x, real y);row_vector;432 operator+;(row_vector x, real y);row_vector;432 operator-;(row_vector x, real y);row_vector;433 operator/;(row_vector x, real y);row_vector;433 operator./;(row_vector x, real y);row_vector;434 operator-;(row_vector x);row_vector;431 operator-;(row_vector x, row_vector y);row_vector;431 operator+;(row_vector x, row_vector y);row_vector;431 operator.*;(row_vector x, row_vector y);row_vector;433 operator./;(row_vector x, row_vector y);row_vector;434 operator';(row_vector x);vector;434 operator*;(row_vector x, vector y);real;432 operator*;(vector x, real y);vector;431 operator-;(vector x, real y);vector;432 operator+;(vector x, real y);vector;432 operator/;(vector x, real y);vector;433 operator./;(vector x, real y);vector;433 operator';(vector x);row_vector;434 operator*;(vector x, row_vector y);matrix;432 operator-;(vector x);vector;431 operator-;(vector x, vector y);vector;431 operator+;(vector x, vector y);vector;431 operator./;(vector x, vector y);vector;433 operator.*;(vector x, vector y);vector;433 ordered_logistic_lpmf;(int k \textbar \ real eta, vector c);real;473 ordered_logistic;~;real;473 ordered_logistic_rng;(real eta, vector c);int;473 owens_t;(real h, real a);real;416 pareto_cdf;(reals y, reals y_min, reals alpha);real;499 pareto_lccdf;(reals y \textbar \ reals y_min, reals alpha);real;499 pareto_lcdf;(reals y \textbar \ reals y_min, reals alpha);real;499 pareto_lpdf;(reals y \textbar \ reals y_min, reals alpha);real;499 pareto;~;real;499 pareto_rng;(real y_min, real alpha);real;499 pareto_type_2_cdf;(reals y, reals mu, reals lambda reals alpha);real;500 pareto_type_2_lccdf;(reals y \textbar \ reals mu, reals lambda reals alpha);real;500 pareto_type_2_lcdf;(reals y \textbar \ reals mu, reals lambda reals alpha);real;500 pareto_type_2_lpdf;(reals y \textbar \ reals mu, reals lambda reals alpha);real;500 pareto_type_2;~;real;500 pareto_type_2_rng;(real mu, real lambda, real alpha);real;500 Phi_approx;(T x);R;415 Phi;(T x);R;415 pi;();real;401 poisson_cdf;(ints n, reals lambda);real;477 poisson_lccdf;(ints n \textbar \ reals lambda);real;477 poisson_lcdf;(ints n \textbar \ reals lambda);real;477 poisson_log_lpmf;(ints n \textbar \ reals alpha);real;478 poisson_log;~;real;478 poisson_log_rng;(real alpha);int;478 poisson_lpmf;(ints n \textbar \ reals lambda);real;477 poisson;~;real;477 poisson_rng;(real lambda);int;477 positive_infinity;();real;401 pow;(real x, real y);real;411 print;(T1 x1,..., TN xN);void;395 prod;(int x[]);real;423 prod;(matrix x);real;438 prod;(real x[]);real;423 prod;(row_vector x);real;438 prod;(vector x);real;438 qr_Q;(matrix A);matrix;449 qr_R;(matrix A);matrix;449 quad_form_diag;(matrix m, row_vector rv);matrix;436 quad_form_diag;(matrix m, vector v);matrix;436 quad_form;(matrix A, matrix B);matrix;436 quad_form;(matrix A, vector B);real;436 quad_form_sym;(matrix A, matrix B);matrix;436 quad_form_sym;(matrix A, vector B);real;437 rank;(int[] v, int s);int;429 rank;(real[] v, int s);int;429 rank;(row_vector v, int s);int;450 rank;(vector v, int s);int;450 rayleigh_cdf;(real y, real sigma);real;497 rayleigh_lccdf;(real y \textbar \ real sigma);real;497 rayleigh_lcdf;(real y \textbar \ real sigma);real;497 rayleigh_lpdf;(reals y \textbar \ reals sigma);real;497 rayleigh;~;real;497 rayleigh_rng;(real sigma);real;497 rep_array;(T x, int k, int m, int n);T[];427 rep_array;(T x, int m, int n);T[];426 rep_array;(T x, int n);T[];426 rep_matrix;(real x, int m, int n);matrix;440 rep_matrix;(row_vector rv, int m);matrix;440 rep_matrix;(vector v, int n);matrix;440 rep_row_vector;(real x, int n);row_vector;439 rep_vector;(real x, int m);vector;439 rising_factorial;(real x, real n);real;420 round;(T x);R;409 row;(matrix x, int m);row_vector;441 rows_dot_product;(matrix x, matrix y);vector;435 rows_dot_product;(row_vector x, row_vector y);vector;435 rows_dot_product;(vector x, vector y);vector;435 rows_dot_self;(matrix x);vector;436 rows_dot_self;(row_vector x);vector;436 rows_dot_self;(vector x);vector;436 rows;(matrix x);int;430 rows;(row_vector x);int;430 rows;(vector x);int;430 scaled_inv_chi_square_cdf;(reals y, reals nu, reals sigma);real;492 scaled_inv_chi_square_lccdf;(reals y \textbar \ reals nu, reals sigma);real;492 scaled_inv_chi_square_lcdf;(reals y \textbar \ reals nu, reals sigma);real;492 scaled_inv_chi_square_lpdf;(reals y \textbar \ reals nu, reals sigma);real;492 scaled_inv_chi_square;~;real;491 scaled_inv_chi_square_rng;(real nu, real sigma);real;492 sd;(matrix x);real;439 sd;(real x[]);real;424 sd;(row_vector x);real;439 sd;(vector x);real;439 segment;(row_vector rv, int i, int n);row_vector;442 segment;(T[] sv, int i, int n);T[];442 segment;(vector v, int i, int n);vector;442 singular_values;(matrix A);vector;449 sinh;(T x);R;413 sin;(T x);R;412 size;(T[] x);int;426 skew_normal_cdf;(reals y, reals mu, reals sigma, reals alpha);real;483 skew_normal_lccdf;(reals y \textbar \ reals mu, reals sigma reals alpha);real;483 skew_normal_lcdf;(reals y \textbar \ reals mu, reals sigma reals alpha);real;483 skew_normal_lpdf;(reals y \textbar \ reals mu, reals sigma, reals alpha);real;483 skew_normal;~;real;483 skew_normal_rng;(real mu, real sigma, real alpha);real;483 softmax;(vector x);vector;444 sort_asc;(int[] v);int[];428 sort_asc;(real[] v);real[];428 sort_asc;(row_vector v);row_vector;450 sort_asc;(vector v);vector;450 sort_desc;(int[] v);int[];428 sort_desc;(real[] v);real[];428 sort_desc;(row_vector v);row_vector;450 sort_desc;(vector v);vector;450 sort_indices_asc;(int[] v);int[];428 sort_indices_asc;(real[] v);int[];428 sort_indices_asc;(row_vector v);int[];450 sort_indices_asc;(vector v);int[];450 sort_indices_desc;(int[] v);int[];428 sort_indices_desc;(real[] v);int[];428 sort_indices_desc;(row_vector v);int[];450 sort_indices_desc;(vector v);int[];450 sqrt2;();real;401 sqrt;(T x);R;409 squared_distance;(row_vector x, row_vector y[]);real;425 squared_distance;(row_vector x, vector y[]);real;425 squared_distance;(vector x, row_vector y[]);real;425 squared_distance;(vector x, vector y);real;425 square;(T x);R;410 step;(real x);real;405 student_t_cdf;(reals y, reals nu, reals mu, reals sigma);real;484 student_t_lccdf;(reals y \textbar \ reals nu, reals mu, reals sigma);real;484 student_t_lcdf;(reals y \textbar \ reals nu, reals mu, reals sigma);real;484 student_t_lpdf;(reals y \textbar \ reals nu, reals mu, reals sigma);real;484 student_t;~;real;484 student_t_rng;(real nu, real mu, real sigma);real;484 sub_col;(matrix x, int i, int j, int n_rows);vector;441 sub_row;(matrix x, int i, int j, int n_cols);row_vector;441 sum;(int x[]);int;423 sum;(matrix x);real;438 sum;(real x[]);real;423 sum;(row_vector x);real;438 sum;(vector x);real;438 tail;(row_vector rv, int n);row_vector;442 tail;(T[] sv, int n);T[];442 tail;(vector v, int n);vector;442 tanh;(T x);R;413 tan;(T x);R;412 target;();real;402 tcrossprod;(matrix x);matrix;436 tgamma;(T x);R;416 to_array_1d;(int[...] a);int[];456 to_array_1d;(matrix m);real[];456 to_array_1d;(real[...] a);real[];456 to_array_1d;(row_vector v);real[];456 to_array_1d;(vector v);real[];456 to_array_2d;(matrix m);real[,];456 to_matrix;(int[] a, int m, int n, int col_major);matrix;455 to_matrix;(int[] a, int m, int n);matrix;455 to_matrix;(int[,] a);matrix;455 to_matrix;(matrix m, int m, int n, int col_major);matrix;454 to_matrix;(matrix m, int m, int n);matrix;454 to_matrix;(matrix m);matrix;454 to_matrix;(real[] a, int m, int n, int col_major);matrix;455 to_matrix;(real[] a, int m, int n);matrix;454 to_matrix;(real[,] a);matrix;455 to_matrix;(row_vector v, int m, int n, int col_major);matrix;454 to_matrix;(row_vector v, int m, int n);matrix;454 to_matrix;(row_vector v);matrix;454 to_matrix;(vector v, int m, int n, int col_major);matrix;454 to_matrix;(vector v, int m, int n);matrix;454 to_matrix;(vector v);matrix;454 to_row_vector;(int[] a);row_vector;456 to_row_vector;(matrix m);row_vector;455 to_row_vector;(real[] a);row_vector;456 to_row_vector;(row_vector v);row_vector;456 to_row_vector;(vector v);row_vector;455 to_vector;(int[] a);vector;455 to_vector;(matrix m);vector;455 to_vector;(real[] a);vector;455 to_vector;(row_vector v);vector;455 to_vector;(vector v);vector;455 trace_gen_quad_form;(matrix D,matrix A, matrix B);real;437 trace;(matrix A);real;448 trace_quad_form;(matrix A, matrix B);real;437 trigamma;(T x);R;417 trunc;(T x);R;409 uniform_cdf;(reals y, reals alpha, reals beta);real;505 uniform_lccdf;(reals y \textbar \ reals alpha, reals beta);real;505 uniform_lcdf;(reals y \textbar \ reals alpha, reals beta);real;505 uniform_lpdf;(reals y \textbar \ reals alpha, reals beta);real;505 uniform;~;real;505 uniform_rng;(real alpha, real beta);real;505 variance;(matrix x);real;439 variance;(real x[]);real;424 variance;(row_vector x);real;439 variance;(vector x);real;439 von_mises_lpdf;(reals y \textbar \ reals mu, reals kappa);real;503 von_mises;~;real;503 von_mises_rng;(reals mu, reals kappa);real;503 weibull_cdf;(reals y, reals alpha, reals sigma);real;495 weibull_lccdf;(reals y \textbar \ reals alpha, reals sigma);real;495 weibull_lcdf;(reals y \textbar \ reals alpha, reals sigma);real;495 weibull_lpdf;(reals y \textbar \ reals alpha, reals sigma);real;495 weibull;~;real;495 weibull_rng;(real alpha, real sigma);real;495 wiener_lpdf;(reals y \textbar \ reals alpha, reals tau, reals beta reals delta);real;498 wiener;~;real;498 wishart_lpdf;(matrix W \textbar \ real nu, matrix Sigma);real;517 wishart;~;real;517 wishart_rng;(real nu, matrix Sigma);matrix;517