diff --git a/src/stan_math_signatures/Generate.ml b/src/stan_math_signatures/Generate.ml
index 5dbf075866..dfdeb16a06 100644
--- a/src/stan_math_signatures/Generate.ml
+++ b/src/stan_math_signatures/Generate.ml
@@ -89,6 +89,7 @@ type fkind =
   | Cdf
   | Ccdf
   | UnaryVectorized of return_behavior
+  | MultiVectorized
 [@@deriving show {with_path= false}]
 
 let is_primitive = function
@@ -156,7 +157,7 @@ let mk_declarative_sig (fnkinds, name, args, mem_pattern) =
     | Rng -> ["_rng"]
     | Cdf -> ["_cdf"; "_lcdf"]
     | Ccdf -> ["_lccdf"]
-    | UnaryVectorized _ -> [""] in
+    | UnaryVectorized _ | MultiVectorized -> [""] in
   let add_ints = function DVReal -> DIntAndReals | x -> x in
   let all_expanded args = all_combinations (List.map ~f:expand_arg args) in
   let promoted_dim = function
@@ -170,6 +171,9 @@ let mk_declarative_sig (fnkinds, name, args, mem_pattern) =
         ReturnType (ints_to_real (List.hd_exn args))
     | UnaryVectorized ComplexToReals ->
         ReturnType (complex_to_real (List.hd_exn args))
+    | MultiVectorized ->
+        if List.for_all ~f:UnsizedType.is_scalar_type args then ReturnType UReal
+        else ReturnType UVector
     | _ -> ReturnType UReal in
   let create_from_fk_args fk arglists =
     List.concat_map arglists ~f:(fun args ->
@@ -337,6 +341,7 @@ let math_sigs =
   ; ([basic_vectorized], "std_normal_qf", [DDeepVectorized], SoA)
     (* std_normal_qf is an alias for inv_Phi *)
   ; ([basic_vectorized], "std_normal_log_qf", [DDeepVectorized], SoA)
+  ; ([MultiVectorized], "student_t_qf", [DVReal; DVReal; DVReal; DVReal], SoA)
   ; ([basic_vectorized], "step", [DReal], AoS)
   ; ([basic_vectorized], "tan", [DDeepVectorized], SoA)
   ; ([basic_vectorized], "tanh", [DDeepVectorized], SoA)
diff --git a/test/integration/good/function-signatures/distributions/univariate/continuous/student_t/student_t_qf_1.stan b/test/integration/good/function-signatures/distributions/univariate/continuous/student_t/student_t_qf_1.stan
new file mode 100644
index 0000000000..d9d9af7be4
--- /dev/null
+++ b/test/integration/good/function-signatures/distributions/univariate/continuous/student_t/student_t_qf_1.stan
@@ -0,0 +1,1497 @@
+data {
+  int d_int;
+  real d_real;
+  vector[d_int] d_vector;
+  row_vector[d_int] d_row_vector;
+  array[d_int] real d_real_array_1d;
+
+
+}
+
+transformed data {
+  int td_int;
+  real td_real;
+  vector[d_int] td_vector;
+  row_vector[d_int] td_row_vector;
+  array[d_int] real td_real_array_1d;
+
+  td_real = student_t_qf(d_real, d_real, d_real, d_real);
+  td_vector = student_t_qf(d_real, d_real, d_real, d_real_array_1d);
+  td_vector = student_t_qf(d_real, d_real, d_real, d_row_vector);
+  td_vector = student_t_qf(d_real, d_real, d_real, d_vector);
+  td_vector = student_t_qf(d_real, d_real, d_real_array_1d, d_real);
+  td_vector = student_t_qf(d_real, d_real, d_real_array_1d, d_real_array_1d);
+  td_vector = student_t_qf(d_real, d_real, d_real_array_1d, d_row_vector);
+  td_vector = student_t_qf(d_real, d_real, d_real_array_1d, d_vector);
+  td_vector = student_t_qf(d_real, d_real, d_row_vector, d_real);
+  td_vector = student_t_qf(d_real, d_real, d_row_vector, d_real_array_1d);
+  td_vector = student_t_qf(d_real, d_real, d_row_vector, d_row_vector);
+  td_vector = student_t_qf(d_real, d_real, d_row_vector, d_vector);
+  td_vector = student_t_qf(d_real, d_real, d_vector, d_real);
+  td_vector = student_t_qf(d_real, d_real, d_vector, d_real_array_1d);
+  td_vector = student_t_qf(d_real, d_real, d_vector, d_row_vector);
+  td_vector = student_t_qf(d_real, d_real, d_vector, d_vector);
+  td_vector = student_t_qf(d_real, d_real_array_1d, d_real, d_real);
+  td_vector = student_t_qf(d_real, d_real_array_1d, d_real, d_real_array_1d);
+  td_vector = student_t_qf(d_real, d_real_array_1d, d_real, d_row_vector);
+  td_vector = student_t_qf(d_real, d_real_array_1d, d_real, d_vector);
+  td_vector = student_t_qf(d_real, d_real_array_1d, d_real_array_1d, d_real);
+  td_vector = student_t_qf(d_real, d_real_array_1d, d_real_array_1d, d_real_array_1d);
+  td_vector = student_t_qf(d_real, d_real_array_1d, d_real_array_1d, d_row_vector);
+  td_vector = student_t_qf(d_real, d_real_array_1d, d_real_array_1d, d_vector);
+  td_vector = student_t_qf(d_real, d_real_array_1d, d_row_vector, d_real);
+  td_vector = student_t_qf(d_real, d_real_array_1d, d_row_vector, d_real_array_1d);
+  td_vector = student_t_qf(d_real, d_real_array_1d, d_row_vector, d_row_vector);
+  td_vector = student_t_qf(d_real, d_real_array_1d, d_row_vector, d_vector);
+  td_vector = student_t_qf(d_real, d_real_array_1d, d_vector, d_real);
+  td_vector = student_t_qf(d_real, d_real_array_1d, d_vector, d_real_array_1d);
+  td_vector = student_t_qf(d_real, d_real_array_1d, d_vector, d_row_vector);
+  td_vector = student_t_qf(d_real, d_real_array_1d, d_vector, d_vector);
+  td_vector = student_t_qf(d_real, d_row_vector, d_real, d_real);
+  td_vector = student_t_qf(d_real, d_row_vector, d_real, d_real_array_1d);
+  td_vector = student_t_qf(d_real, d_row_vector, d_real, d_row_vector);
+  td_vector = student_t_qf(d_real, d_row_vector, d_real, d_vector);
+  td_vector = student_t_qf(d_real, d_row_vector, d_real_array_1d, d_real);
+  td_vector = student_t_qf(d_real, d_row_vector, d_real_array_1d, d_real_array_1d);
+  td_vector = student_t_qf(d_real, d_row_vector, d_real_array_1d, d_row_vector);
+  td_vector = student_t_qf(d_real, d_row_vector, d_real_array_1d, d_vector);
+  td_vector = student_t_qf(d_real, d_row_vector, d_row_vector, d_real);
+  td_vector = student_t_qf(d_real, d_row_vector, d_row_vector, d_real_array_1d);
+  td_vector = student_t_qf(d_real, d_row_vector, d_row_vector, d_row_vector);
+  td_vector = student_t_qf(d_real, d_row_vector, d_row_vector, d_vector);
+  td_vector = student_t_qf(d_real, d_row_vector, d_vector, d_real);
+  td_vector = student_t_qf(d_real, d_row_vector, d_vector, d_real_array_1d);
+  td_vector = student_t_qf(d_real, d_row_vector, d_vector, d_row_vector);
+  td_vector = student_t_qf(d_real, d_row_vector, d_vector, d_vector);
+  td_vector = student_t_qf(d_real, d_vector, d_real, d_real);
+  td_vector = student_t_qf(d_real, d_vector, d_real, d_real_array_1d);
+  td_vector = student_t_qf(d_real, d_vector, d_real, d_row_vector);
+  td_vector = student_t_qf(d_real, d_vector, d_real, d_vector);
+  td_vector = student_t_qf(d_real, d_vector, d_real_array_1d, d_real);
+  td_vector = student_t_qf(d_real, d_vector, d_real_array_1d, d_real_array_1d);
+  td_vector = student_t_qf(d_real, d_vector, d_real_array_1d, d_row_vector);
+  td_vector = student_t_qf(d_real, d_vector, d_real_array_1d, d_vector);
+  td_vector = student_t_qf(d_real, d_vector, d_row_vector, d_real);
+  td_vector = student_t_qf(d_real, d_vector, d_row_vector, d_real_array_1d);
+  td_vector = student_t_qf(d_real, d_vector, d_row_vector, d_row_vector);
+  td_vector = student_t_qf(d_real, d_vector, d_row_vector, d_vector);
+  td_vector = student_t_qf(d_real, d_vector, d_vector, d_real);
+  td_vector = student_t_qf(d_real, d_vector, d_vector, d_real_array_1d);
+  td_vector = student_t_qf(d_real, d_vector, d_vector, d_row_vector);
+  td_vector = student_t_qf(d_real, d_vector, d_vector, d_vector);
+  td_vector = student_t_qf(d_vector, d_real, d_real, d_real);
+  td_vector = student_t_qf(d_vector, d_real, d_real, d_real_array_1d);
+  td_vector = student_t_qf(d_vector, d_real, d_real, d_row_vector);
+  td_vector = student_t_qf(d_vector, d_real, d_real, d_vector);
+  td_vector = student_t_qf(d_vector, d_real, d_real_array_1d, d_real);
+  td_vector = student_t_qf(d_vector, d_real, d_real_array_1d, d_real_array_1d);
+  td_vector = student_t_qf(d_vector, d_real, d_real_array_1d, d_row_vector);
+  td_vector = student_t_qf(d_vector, d_real, d_real_array_1d, d_vector);
+  td_vector = student_t_qf(d_vector, d_real, d_row_vector, d_real);
+  td_vector = student_t_qf(d_vector, d_real, d_row_vector, d_real_array_1d);
+  td_vector = student_t_qf(d_vector, d_real, d_row_vector, d_row_vector);
+  td_vector = student_t_qf(d_vector, d_real, d_row_vector, d_vector);
+  td_vector = student_t_qf(d_vector, d_real, d_vector, d_real);
+  td_vector = student_t_qf(d_vector, d_real, d_vector, d_real_array_1d);
+  td_vector = student_t_qf(d_vector, d_real, d_vector, d_row_vector);
+  td_vector = student_t_qf(d_vector, d_real, d_vector, d_vector);
+  td_vector = student_t_qf(d_vector, d_vector, d_real, d_real);
+  td_vector = student_t_qf(d_vector, d_vector, d_real, d_real_array_1d);
+  td_vector = student_t_qf(d_vector, d_vector, d_real, d_row_vector);
+  td_vector = student_t_qf(d_vector, d_vector, d_real, d_vector);
+  td_vector = student_t_qf(d_vector, d_vector, d_vector, d_real);
+  td_vector = student_t_qf(d_vector, d_vector, d_vector, d_vector);
+}
+
+parameters {
+  real p_real;
+  vector[d_int] p_vector;
+  row_vector[d_int] p_row_vector;
+  array[d_int] real p_real_array_1d;
+
+
+}
+
+transformed parameters {
+  real transformed_param_real;
+  vector[d_int] transformed_param_vector;
+  row_vector[d_int] transformed_param_row_vector;
+  array[d_int] real transformed_param_real_array_1d;
+
+  transformed_param_real = student_t_qf(d_real, d_real, d_real, d_real);
+  transformed_param_real = student_t_qf(d_real, d_real, d_real, p_real);
+  transformed_param_real = student_t_qf(d_real, d_real, p_real, d_real);
+  transformed_param_real = student_t_qf(d_real, d_real, p_real, p_real);
+  transformed_param_real = student_t_qf(d_real, p_real, d_real, d_real);
+  transformed_param_real = student_t_qf(d_real, p_real, d_real, p_real);
+  transformed_param_real = student_t_qf(d_real, p_real, p_real, d_real);
+  transformed_param_real = student_t_qf(d_real, p_real, p_real, p_real);
+  transformed_param_real = student_t_qf(p_real, d_real, d_real, d_real);
+  transformed_param_real = student_t_qf(p_real, d_real, d_real, p_real);
+  transformed_param_real = student_t_qf(p_real, d_real, p_real, d_real);
+  transformed_param_real = student_t_qf(p_real, d_real, p_real, p_real);
+  transformed_param_real = student_t_qf(p_real, p_real, d_real, d_real);
+  transformed_param_real = student_t_qf(p_real, p_real, d_real, p_real);
+  transformed_param_real = student_t_qf(p_real, p_real, p_real, d_real);
+  transformed_param_real = student_t_qf(p_real, p_real, p_real, p_real);
+  transformed_param_vector = student_t_qf(d_real, d_real, d_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, d_real, d_real, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real, d_real, d_real, d_vector);
+  transformed_param_vector = student_t_qf(d_real, d_real, d_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, d_real, d_real, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real, d_real, d_real, p_vector);
+  transformed_param_vector = student_t_qf(d_real, d_real, d_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(d_real, d_real, d_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, d_real, d_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real, d_real, d_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(d_real, d_real, d_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(d_real, d_real, d_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, d_real, d_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real, d_real, d_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(d_real, d_real, d_row_vector, d_real);
+  transformed_param_vector = student_t_qf(d_real, d_real, d_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, d_real, d_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real, d_real, d_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_real, d_real, d_row_vector, p_real);
+  transformed_param_vector = student_t_qf(d_real, d_real, d_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, d_real, d_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real, d_real, d_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_real, d_real, d_vector, d_real);
+  transformed_param_vector = student_t_qf(d_real, d_real, d_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, d_real, d_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real, d_real, d_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_real, d_real, d_vector, p_real);
+  transformed_param_vector = student_t_qf(d_real, d_real, d_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, d_real, d_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real, d_real, d_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_real, d_real, p_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, d_real, p_real, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real, d_real, p_real, d_vector);
+  transformed_param_vector = student_t_qf(d_real, d_real, p_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, d_real, p_real, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real, d_real, p_real, p_vector);
+  transformed_param_vector = student_t_qf(d_real, d_real, p_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(d_real, d_real, p_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, d_real, p_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real, d_real, p_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(d_real, d_real, p_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(d_real, d_real, p_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, d_real, p_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real, d_real, p_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(d_real, d_real, p_row_vector, d_real);
+  transformed_param_vector = student_t_qf(d_real, d_real, p_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, d_real, p_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real, d_real, p_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_real, d_real, p_row_vector, p_real);
+  transformed_param_vector = student_t_qf(d_real, d_real, p_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, d_real, p_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real, d_real, p_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_real, d_real, p_vector, d_real);
+  transformed_param_vector = student_t_qf(d_real, d_real, p_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, d_real, p_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real, d_real, p_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_real, d_real, p_vector, p_real);
+  transformed_param_vector = student_t_qf(d_real, d_real, p_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, d_real, p_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real, d_real, p_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_real, d_real_array_1d, d_real, d_real);
+  transformed_param_vector = student_t_qf(d_real, d_real_array_1d, d_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, d_real_array_1d, d_real, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real, d_real_array_1d, d_real, d_vector);
+  transformed_param_vector = student_t_qf(d_real, d_real_array_1d, d_real, p_real);
+  transformed_param_vector = student_t_qf(d_real, d_real_array_1d, d_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, d_real_array_1d, d_real, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real, d_real_array_1d, d_real, p_vector);
+  transformed_param_vector = student_t_qf(d_real, d_real_array_1d, d_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(d_real, d_real_array_1d, d_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, d_real_array_1d, d_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real, d_real_array_1d, d_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(d_real, d_real_array_1d, d_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(d_real, d_real_array_1d, d_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, d_real_array_1d, d_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real, d_real_array_1d, d_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(d_real, d_real_array_1d, d_row_vector, d_real);
+  transformed_param_vector = student_t_qf(d_real, d_real_array_1d, d_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, d_real_array_1d, d_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real, d_real_array_1d, d_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_real, d_real_array_1d, d_row_vector, p_real);
+  transformed_param_vector = student_t_qf(d_real, d_real_array_1d, d_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, d_real_array_1d, d_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real, d_real_array_1d, d_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_real, d_real_array_1d, d_vector, d_real);
+  transformed_param_vector = student_t_qf(d_real, d_real_array_1d, d_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, d_real_array_1d, d_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real, d_real_array_1d, d_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_real, d_real_array_1d, d_vector, p_real);
+  transformed_param_vector = student_t_qf(d_real, d_real_array_1d, d_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, d_real_array_1d, d_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real, d_real_array_1d, d_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_real, d_real_array_1d, p_real, d_real);
+  transformed_param_vector = student_t_qf(d_real, d_real_array_1d, p_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, d_real_array_1d, p_real, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real, d_real_array_1d, p_real, d_vector);
+  transformed_param_vector = student_t_qf(d_real, d_real_array_1d, p_real, p_real);
+  transformed_param_vector = student_t_qf(d_real, d_real_array_1d, p_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, d_real_array_1d, p_real, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real, d_real_array_1d, p_real, p_vector);
+  transformed_param_vector = student_t_qf(d_real, d_real_array_1d, p_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(d_real, d_real_array_1d, p_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, d_real_array_1d, p_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real, d_real_array_1d, p_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(d_real, d_real_array_1d, p_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(d_real, d_real_array_1d, p_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, d_real_array_1d, p_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real, d_real_array_1d, p_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(d_real, d_real_array_1d, p_row_vector, d_real);
+  transformed_param_vector = student_t_qf(d_real, d_real_array_1d, p_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, d_real_array_1d, p_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real, d_real_array_1d, p_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_real, d_real_array_1d, p_row_vector, p_real);
+  transformed_param_vector = student_t_qf(d_real, d_real_array_1d, p_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, d_real_array_1d, p_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real, d_real_array_1d, p_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_real, d_real_array_1d, p_vector, d_real);
+  transformed_param_vector = student_t_qf(d_real, d_real_array_1d, p_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, d_real_array_1d, p_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real, d_real_array_1d, p_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_real, d_real_array_1d, p_vector, p_real);
+  transformed_param_vector = student_t_qf(d_real, d_real_array_1d, p_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, d_real_array_1d, p_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real, d_real_array_1d, p_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_real, d_row_vector, d_real, d_real);
+  transformed_param_vector = student_t_qf(d_real, d_row_vector, d_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, d_row_vector, d_real, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real, d_row_vector, d_real, d_vector);
+  transformed_param_vector = student_t_qf(d_real, d_row_vector, d_real, p_real);
+  transformed_param_vector = student_t_qf(d_real, d_row_vector, d_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, d_row_vector, d_real, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real, d_row_vector, d_real, p_vector);
+  transformed_param_vector = student_t_qf(d_real, d_row_vector, d_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(d_real, d_row_vector, d_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, d_row_vector, d_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real, d_row_vector, d_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(d_real, d_row_vector, d_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(d_real, d_row_vector, d_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, d_row_vector, d_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real, d_row_vector, d_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(d_real, d_row_vector, d_row_vector, d_real);
+  transformed_param_vector = student_t_qf(d_real, d_row_vector, d_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, d_row_vector, d_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real, d_row_vector, d_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_real, d_row_vector, d_row_vector, p_real);
+  transformed_param_vector = student_t_qf(d_real, d_row_vector, d_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, d_row_vector, d_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real, d_row_vector, d_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_real, d_row_vector, d_vector, d_real);
+  transformed_param_vector = student_t_qf(d_real, d_row_vector, d_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, d_row_vector, d_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real, d_row_vector, d_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_real, d_row_vector, d_vector, p_real);
+  transformed_param_vector = student_t_qf(d_real, d_row_vector, d_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, d_row_vector, d_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real, d_row_vector, d_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_real, d_row_vector, p_real, d_real);
+  transformed_param_vector = student_t_qf(d_real, d_row_vector, p_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, d_row_vector, p_real, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real, d_row_vector, p_real, d_vector);
+  transformed_param_vector = student_t_qf(d_real, d_row_vector, p_real, p_real);
+  transformed_param_vector = student_t_qf(d_real, d_row_vector, p_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, d_row_vector, p_real, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real, d_row_vector, p_real, p_vector);
+  transformed_param_vector = student_t_qf(d_real, d_row_vector, p_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(d_real, d_row_vector, p_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, d_row_vector, p_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real, d_row_vector, p_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(d_real, d_row_vector, p_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(d_real, d_row_vector, p_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, d_row_vector, p_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real, d_row_vector, p_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(d_real, d_row_vector, p_row_vector, d_real);
+  transformed_param_vector = student_t_qf(d_real, d_row_vector, p_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, d_row_vector, p_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real, d_row_vector, p_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_real, d_row_vector, p_row_vector, p_real);
+  transformed_param_vector = student_t_qf(d_real, d_row_vector, p_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, d_row_vector, p_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real, d_row_vector, p_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_real, d_row_vector, p_vector, d_real);
+  transformed_param_vector = student_t_qf(d_real, d_row_vector, p_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, d_row_vector, p_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real, d_row_vector, p_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_real, d_row_vector, p_vector, p_real);
+  transformed_param_vector = student_t_qf(d_real, d_row_vector, p_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, d_row_vector, p_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real, d_row_vector, p_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_real, d_vector, d_real, d_real);
+  transformed_param_vector = student_t_qf(d_real, d_vector, d_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, d_vector, d_real, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real, d_vector, d_real, d_vector);
+  transformed_param_vector = student_t_qf(d_real, d_vector, d_real, p_real);
+  transformed_param_vector = student_t_qf(d_real, d_vector, d_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, d_vector, d_real, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real, d_vector, d_real, p_vector);
+  transformed_param_vector = student_t_qf(d_real, d_vector, d_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(d_real, d_vector, d_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, d_vector, d_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real, d_vector, d_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(d_real, d_vector, d_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(d_real, d_vector, d_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, d_vector, d_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real, d_vector, d_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(d_real, d_vector, d_row_vector, d_real);
+  transformed_param_vector = student_t_qf(d_real, d_vector, d_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, d_vector, d_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real, d_vector, d_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_real, d_vector, d_row_vector, p_real);
+  transformed_param_vector = student_t_qf(d_real, d_vector, d_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, d_vector, d_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real, d_vector, d_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_real, d_vector, d_vector, d_real);
+  transformed_param_vector = student_t_qf(d_real, d_vector, d_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, d_vector, d_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real, d_vector, d_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_real, d_vector, d_vector, p_real);
+  transformed_param_vector = student_t_qf(d_real, d_vector, d_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, d_vector, d_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real, d_vector, d_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_real, d_vector, p_real, d_real);
+  transformed_param_vector = student_t_qf(d_real, d_vector, p_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, d_vector, p_real, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real, d_vector, p_real, d_vector);
+  transformed_param_vector = student_t_qf(d_real, d_vector, p_real, p_real);
+  transformed_param_vector = student_t_qf(d_real, d_vector, p_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, d_vector, p_real, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real, d_vector, p_real, p_vector);
+  transformed_param_vector = student_t_qf(d_real, d_vector, p_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(d_real, d_vector, p_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, d_vector, p_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real, d_vector, p_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(d_real, d_vector, p_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(d_real, d_vector, p_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, d_vector, p_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real, d_vector, p_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(d_real, d_vector, p_row_vector, d_real);
+  transformed_param_vector = student_t_qf(d_real, d_vector, p_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, d_vector, p_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real, d_vector, p_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_real, d_vector, p_row_vector, p_real);
+  transformed_param_vector = student_t_qf(d_real, d_vector, p_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, d_vector, p_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real, d_vector, p_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_real, d_vector, p_vector, d_real);
+  transformed_param_vector = student_t_qf(d_real, d_vector, p_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, d_vector, p_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real, d_vector, p_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_real, d_vector, p_vector, p_real);
+  transformed_param_vector = student_t_qf(d_real, d_vector, p_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, d_vector, p_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real, d_vector, p_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_real, p_real, d_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, p_real, d_real, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real, p_real, d_real, d_vector);
+  transformed_param_vector = student_t_qf(d_real, p_real, d_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, p_real, d_real, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real, p_real, d_real, p_vector);
+  transformed_param_vector = student_t_qf(d_real, p_real, d_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(d_real, p_real, d_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, p_real, d_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real, p_real, d_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(d_real, p_real, d_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(d_real, p_real, d_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, p_real, d_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real, p_real, d_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(d_real, p_real, d_row_vector, d_real);
+  transformed_param_vector = student_t_qf(d_real, p_real, d_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, p_real, d_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real, p_real, d_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_real, p_real, d_row_vector, p_real);
+  transformed_param_vector = student_t_qf(d_real, p_real, d_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, p_real, d_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real, p_real, d_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_real, p_real, d_vector, d_real);
+  transformed_param_vector = student_t_qf(d_real, p_real, d_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, p_real, d_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real, p_real, d_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_real, p_real, d_vector, p_real);
+  transformed_param_vector = student_t_qf(d_real, p_real, d_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, p_real, d_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real, p_real, d_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_real, p_real, p_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, p_real, p_real, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real, p_real, p_real, d_vector);
+  transformed_param_vector = student_t_qf(d_real, p_real, p_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, p_real, p_real, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real, p_real, p_real, p_vector);
+  transformed_param_vector = student_t_qf(d_real, p_real, p_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(d_real, p_real, p_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, p_real, p_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real, p_real, p_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(d_real, p_real, p_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(d_real, p_real, p_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, p_real, p_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real, p_real, p_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(d_real, p_real, p_row_vector, d_real);
+  transformed_param_vector = student_t_qf(d_real, p_real, p_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, p_real, p_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real, p_real, p_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_real, p_real, p_row_vector, p_real);
+  transformed_param_vector = student_t_qf(d_real, p_real, p_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, p_real, p_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real, p_real, p_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_real, p_real, p_vector, d_real);
+  transformed_param_vector = student_t_qf(d_real, p_real, p_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, p_real, p_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real, p_real, p_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_real, p_real, p_vector, p_real);
+  transformed_param_vector = student_t_qf(d_real, p_real, p_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, p_real, p_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real, p_real, p_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_real, p_real_array_1d, d_real, d_real);
+  transformed_param_vector = student_t_qf(d_real, p_real_array_1d, d_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, p_real_array_1d, d_real, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real, p_real_array_1d, d_real, d_vector);
+  transformed_param_vector = student_t_qf(d_real, p_real_array_1d, d_real, p_real);
+  transformed_param_vector = student_t_qf(d_real, p_real_array_1d, d_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, p_real_array_1d, d_real, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real, p_real_array_1d, d_real, p_vector);
+  transformed_param_vector = student_t_qf(d_real, p_real_array_1d, d_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(d_real, p_real_array_1d, d_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, p_real_array_1d, d_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real, p_real_array_1d, d_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(d_real, p_real_array_1d, d_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(d_real, p_real_array_1d, d_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, p_real_array_1d, d_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real, p_real_array_1d, d_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(d_real, p_real_array_1d, d_row_vector, d_real);
+  transformed_param_vector = student_t_qf(d_real, p_real_array_1d, d_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, p_real_array_1d, d_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real, p_real_array_1d, d_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_real, p_real_array_1d, d_row_vector, p_real);
+  transformed_param_vector = student_t_qf(d_real, p_real_array_1d, d_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, p_real_array_1d, d_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real, p_real_array_1d, d_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_real, p_real_array_1d, d_vector, d_real);
+  transformed_param_vector = student_t_qf(d_real, p_real_array_1d, d_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, p_real_array_1d, d_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real, p_real_array_1d, d_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_real, p_real_array_1d, d_vector, p_real);
+  transformed_param_vector = student_t_qf(d_real, p_real_array_1d, d_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, p_real_array_1d, d_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real, p_real_array_1d, d_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_real, p_real_array_1d, p_real, d_real);
+  transformed_param_vector = student_t_qf(d_real, p_real_array_1d, p_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, p_real_array_1d, p_real, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real, p_real_array_1d, p_real, d_vector);
+  transformed_param_vector = student_t_qf(d_real, p_real_array_1d, p_real, p_real);
+  transformed_param_vector = student_t_qf(d_real, p_real_array_1d, p_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, p_real_array_1d, p_real, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real, p_real_array_1d, p_real, p_vector);
+  transformed_param_vector = student_t_qf(d_real, p_real_array_1d, p_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(d_real, p_real_array_1d, p_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, p_real_array_1d, p_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real, p_real_array_1d, p_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(d_real, p_real_array_1d, p_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(d_real, p_real_array_1d, p_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, p_real_array_1d, p_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real, p_real_array_1d, p_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(d_real, p_real_array_1d, p_row_vector, d_real);
+  transformed_param_vector = student_t_qf(d_real, p_real_array_1d, p_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, p_real_array_1d, p_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real, p_real_array_1d, p_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_real, p_real_array_1d, p_row_vector, p_real);
+  transformed_param_vector = student_t_qf(d_real, p_real_array_1d, p_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, p_real_array_1d, p_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real, p_real_array_1d, p_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_real, p_real_array_1d, p_vector, d_real);
+  transformed_param_vector = student_t_qf(d_real, p_real_array_1d, p_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, p_real_array_1d, p_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real, p_real_array_1d, p_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_real, p_real_array_1d, p_vector, p_real);
+  transformed_param_vector = student_t_qf(d_real, p_real_array_1d, p_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, p_real_array_1d, p_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real, p_real_array_1d, p_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_real, p_row_vector, d_real, d_real);
+  transformed_param_vector = student_t_qf(d_real, p_row_vector, d_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, p_row_vector, d_real, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real, p_row_vector, d_real, d_vector);
+  transformed_param_vector = student_t_qf(d_real, p_row_vector, d_real, p_real);
+  transformed_param_vector = student_t_qf(d_real, p_row_vector, d_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, p_row_vector, d_real, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real, p_row_vector, d_real, p_vector);
+  transformed_param_vector = student_t_qf(d_real, p_row_vector, d_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(d_real, p_row_vector, d_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, p_row_vector, d_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real, p_row_vector, d_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(d_real, p_row_vector, d_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(d_real, p_row_vector, d_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, p_row_vector, d_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real, p_row_vector, d_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(d_real, p_row_vector, d_row_vector, d_real);
+  transformed_param_vector = student_t_qf(d_real, p_row_vector, d_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, p_row_vector, d_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real, p_row_vector, d_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_real, p_row_vector, d_row_vector, p_real);
+  transformed_param_vector = student_t_qf(d_real, p_row_vector, d_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, p_row_vector, d_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real, p_row_vector, d_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_real, p_row_vector, d_vector, d_real);
+  transformed_param_vector = student_t_qf(d_real, p_row_vector, d_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, p_row_vector, d_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real, p_row_vector, d_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_real, p_row_vector, d_vector, p_real);
+  transformed_param_vector = student_t_qf(d_real, p_row_vector, d_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, p_row_vector, d_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real, p_row_vector, d_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_real, p_row_vector, p_real, d_real);
+  transformed_param_vector = student_t_qf(d_real, p_row_vector, p_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, p_row_vector, p_real, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real, p_row_vector, p_real, d_vector);
+  transformed_param_vector = student_t_qf(d_real, p_row_vector, p_real, p_real);
+  transformed_param_vector = student_t_qf(d_real, p_row_vector, p_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, p_row_vector, p_real, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real, p_row_vector, p_real, p_vector);
+  transformed_param_vector = student_t_qf(d_real, p_row_vector, p_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(d_real, p_row_vector, p_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, p_row_vector, p_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real, p_row_vector, p_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(d_real, p_row_vector, p_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(d_real, p_row_vector, p_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, p_row_vector, p_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real, p_row_vector, p_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(d_real, p_row_vector, p_row_vector, d_real);
+  transformed_param_vector = student_t_qf(d_real, p_row_vector, p_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, p_row_vector, p_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real, p_row_vector, p_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_real, p_row_vector, p_row_vector, p_real);
+  transformed_param_vector = student_t_qf(d_real, p_row_vector, p_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, p_row_vector, p_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real, p_row_vector, p_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_real, p_row_vector, p_vector, d_real);
+  transformed_param_vector = student_t_qf(d_real, p_row_vector, p_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, p_row_vector, p_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real, p_row_vector, p_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_real, p_row_vector, p_vector, p_real);
+  transformed_param_vector = student_t_qf(d_real, p_row_vector, p_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, p_row_vector, p_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real, p_row_vector, p_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_real, p_vector, d_real, d_real);
+  transformed_param_vector = student_t_qf(d_real, p_vector, d_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, p_vector, d_real, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real, p_vector, d_real, d_vector);
+  transformed_param_vector = student_t_qf(d_real, p_vector, d_real, p_real);
+  transformed_param_vector = student_t_qf(d_real, p_vector, d_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, p_vector, d_real, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real, p_vector, d_real, p_vector);
+  transformed_param_vector = student_t_qf(d_real, p_vector, d_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(d_real, p_vector, d_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, p_vector, d_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real, p_vector, d_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(d_real, p_vector, d_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(d_real, p_vector, d_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, p_vector, d_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real, p_vector, d_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(d_real, p_vector, d_row_vector, d_real);
+  transformed_param_vector = student_t_qf(d_real, p_vector, d_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, p_vector, d_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real, p_vector, d_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_real, p_vector, d_row_vector, p_real);
+  transformed_param_vector = student_t_qf(d_real, p_vector, d_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, p_vector, d_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real, p_vector, d_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_real, p_vector, d_vector, d_real);
+  transformed_param_vector = student_t_qf(d_real, p_vector, d_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, p_vector, d_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real, p_vector, d_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_real, p_vector, d_vector, p_real);
+  transformed_param_vector = student_t_qf(d_real, p_vector, d_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, p_vector, d_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real, p_vector, d_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_real, p_vector, p_real, d_real);
+  transformed_param_vector = student_t_qf(d_real, p_vector, p_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, p_vector, p_real, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real, p_vector, p_real, d_vector);
+  transformed_param_vector = student_t_qf(d_real, p_vector, p_real, p_real);
+  transformed_param_vector = student_t_qf(d_real, p_vector, p_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, p_vector, p_real, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real, p_vector, p_real, p_vector);
+  transformed_param_vector = student_t_qf(d_real, p_vector, p_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(d_real, p_vector, p_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, p_vector, p_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real, p_vector, p_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(d_real, p_vector, p_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(d_real, p_vector, p_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, p_vector, p_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real, p_vector, p_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(d_real, p_vector, p_row_vector, d_real);
+  transformed_param_vector = student_t_qf(d_real, p_vector, p_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, p_vector, p_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real, p_vector, p_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_real, p_vector, p_row_vector, p_real);
+  transformed_param_vector = student_t_qf(d_real, p_vector, p_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, p_vector, p_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real, p_vector, p_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_real, p_vector, p_vector, d_real);
+  transformed_param_vector = student_t_qf(d_real, p_vector, p_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, p_vector, p_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real, p_vector, p_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_real, p_vector, p_vector, p_real);
+  transformed_param_vector = student_t_qf(d_real, p_vector, p_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real, p_vector, p_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real, p_vector, p_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_real, d_real, d_real);
+  transformed_param_vector = student_t_qf(d_vector, d_real, d_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, d_real, d_real, d_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_real, d_real, d_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_real, d_real, p_real);
+  transformed_param_vector = student_t_qf(d_vector, d_real, d_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, d_real, d_real, p_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_real, d_real, p_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_real, d_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(d_vector, d_real, d_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, d_real, d_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_real, d_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_real, d_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(d_vector, d_real, d_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, d_real, d_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_real, d_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_real, d_row_vector, d_real);
+  transformed_param_vector = student_t_qf(d_vector, d_real, d_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, d_real, d_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_real, d_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_real, d_row_vector, p_real);
+  transformed_param_vector = student_t_qf(d_vector, d_real, d_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, d_real, d_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_real, d_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_real, d_vector, d_real);
+  transformed_param_vector = student_t_qf(d_vector, d_real, d_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, d_real, d_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_real, d_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_real, d_vector, p_real);
+  transformed_param_vector = student_t_qf(d_vector, d_real, d_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, d_real, d_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_real, d_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_real, p_real, d_real);
+  transformed_param_vector = student_t_qf(d_vector, d_real, p_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, d_real, p_real, d_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_real, p_real, d_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_real, p_real, p_real);
+  transformed_param_vector = student_t_qf(d_vector, d_real, p_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, d_real, p_real, p_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_real, p_real, p_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_real, p_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(d_vector, d_real, p_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, d_real, p_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_real, p_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_real, p_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(d_vector, d_real, p_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, d_real, p_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_real, p_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_real, p_row_vector, d_real);
+  transformed_param_vector = student_t_qf(d_vector, d_real, p_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, d_real, p_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_real, p_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_real, p_row_vector, p_real);
+  transformed_param_vector = student_t_qf(d_vector, d_real, p_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, d_real, p_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_real, p_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_real, p_vector, d_real);
+  transformed_param_vector = student_t_qf(d_vector, d_real, p_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, d_real, p_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_real, p_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_real, p_vector, p_real);
+  transformed_param_vector = student_t_qf(d_vector, d_real, p_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, d_real, p_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_real, p_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_vector, d_real, d_real);
+  transformed_param_vector = student_t_qf(d_vector, d_vector, d_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, d_vector, d_real, d_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_vector, d_real, d_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_vector, d_real, p_real);
+  transformed_param_vector = student_t_qf(d_vector, d_vector, d_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, d_vector, d_real, p_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_vector, d_real, p_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_vector, d_vector, d_real);
+  transformed_param_vector = student_t_qf(d_vector, d_vector, d_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_vector, d_vector, p_real);
+  transformed_param_vector = student_t_qf(d_vector, d_vector, d_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_vector, p_real, d_real);
+  transformed_param_vector = student_t_qf(d_vector, d_vector, p_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, d_vector, p_real, d_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_vector, p_real, d_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_vector, p_real, p_real);
+  transformed_param_vector = student_t_qf(d_vector, d_vector, p_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, d_vector, p_real, p_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_vector, p_real, p_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_vector, p_vector, d_real);
+  transformed_param_vector = student_t_qf(d_vector, d_vector, p_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_vector, p_vector, p_real);
+  transformed_param_vector = student_t_qf(d_vector, d_vector, p_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_real, d_real, d_real);
+  transformed_param_vector = student_t_qf(d_vector, p_real, d_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, p_real, d_real, d_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_real, d_real, d_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_real, d_real, p_real);
+  transformed_param_vector = student_t_qf(d_vector, p_real, d_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, p_real, d_real, p_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_real, d_real, p_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_real, d_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(d_vector, p_real, d_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, p_real, d_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_real, d_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_real, d_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(d_vector, p_real, d_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, p_real, d_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_real, d_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_real, d_row_vector, d_real);
+  transformed_param_vector = student_t_qf(d_vector, p_real, d_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, p_real, d_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_real, d_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_real, d_row_vector, p_real);
+  transformed_param_vector = student_t_qf(d_vector, p_real, d_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, p_real, d_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_real, d_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_real, d_vector, d_real);
+  transformed_param_vector = student_t_qf(d_vector, p_real, d_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, p_real, d_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_real, d_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_real, d_vector, p_real);
+  transformed_param_vector = student_t_qf(d_vector, p_real, d_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, p_real, d_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_real, d_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_real, p_real, d_real);
+  transformed_param_vector = student_t_qf(d_vector, p_real, p_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, p_real, p_real, d_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_real, p_real, d_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_real, p_real, p_real);
+  transformed_param_vector = student_t_qf(d_vector, p_real, p_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, p_real, p_real, p_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_real, p_real, p_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_real, p_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(d_vector, p_real, p_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, p_real, p_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_real, p_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_real, p_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(d_vector, p_real, p_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, p_real, p_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_real, p_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_real, p_row_vector, d_real);
+  transformed_param_vector = student_t_qf(d_vector, p_real, p_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, p_real, p_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_real, p_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_real, p_row_vector, p_real);
+  transformed_param_vector = student_t_qf(d_vector, p_real, p_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, p_real, p_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_real, p_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_real, p_vector, d_real);
+  transformed_param_vector = student_t_qf(d_vector, p_real, p_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, p_real, p_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_real, p_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_real, p_vector, p_real);
+  transformed_param_vector = student_t_qf(d_vector, p_real, p_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, p_real, p_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_real, p_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_vector, d_real, d_real);
+  transformed_param_vector = student_t_qf(d_vector, p_vector, d_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, p_vector, d_real, d_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_vector, d_real, d_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_vector, d_real, p_real);
+  transformed_param_vector = student_t_qf(d_vector, p_vector, d_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, p_vector, d_real, p_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_vector, d_real, p_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_vector, d_vector, d_real);
+  transformed_param_vector = student_t_qf(d_vector, p_vector, d_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_vector, d_vector, p_real);
+  transformed_param_vector = student_t_qf(d_vector, p_vector, d_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_vector, p_real, d_real);
+  transformed_param_vector = student_t_qf(d_vector, p_vector, p_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, p_vector, p_real, d_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_vector, p_real, d_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_vector, p_real, p_real);
+  transformed_param_vector = student_t_qf(d_vector, p_vector, p_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, p_vector, p_real, p_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_vector, p_real, p_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_vector, p_vector, d_real);
+  transformed_param_vector = student_t_qf(d_vector, p_vector, p_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_vector, p_vector, p_real);
+  transformed_param_vector = student_t_qf(d_vector, p_vector, p_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_real, d_real, d_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, d_real, d_real, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real, d_real, d_real, d_vector);
+  transformed_param_vector = student_t_qf(p_real, d_real, d_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, d_real, d_real, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real, d_real, d_real, p_vector);
+  transformed_param_vector = student_t_qf(p_real, d_real, d_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(p_real, d_real, d_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, d_real, d_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real, d_real, d_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(p_real, d_real, d_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(p_real, d_real, d_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, d_real, d_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real, d_real, d_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(p_real, d_real, d_row_vector, d_real);
+  transformed_param_vector = student_t_qf(p_real, d_real, d_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, d_real, d_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real, d_real, d_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_real, d_real, d_row_vector, p_real);
+  transformed_param_vector = student_t_qf(p_real, d_real, d_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, d_real, d_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real, d_real, d_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_real, d_real, d_vector, d_real);
+  transformed_param_vector = student_t_qf(p_real, d_real, d_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, d_real, d_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real, d_real, d_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_real, d_real, d_vector, p_real);
+  transformed_param_vector = student_t_qf(p_real, d_real, d_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, d_real, d_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real, d_real, d_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_real, d_real, p_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, d_real, p_real, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real, d_real, p_real, d_vector);
+  transformed_param_vector = student_t_qf(p_real, d_real, p_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, d_real, p_real, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real, d_real, p_real, p_vector);
+  transformed_param_vector = student_t_qf(p_real, d_real, p_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(p_real, d_real, p_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, d_real, p_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real, d_real, p_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(p_real, d_real, p_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(p_real, d_real, p_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, d_real, p_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real, d_real, p_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(p_real, d_real, p_row_vector, d_real);
+  transformed_param_vector = student_t_qf(p_real, d_real, p_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, d_real, p_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real, d_real, p_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_real, d_real, p_row_vector, p_real);
+  transformed_param_vector = student_t_qf(p_real, d_real, p_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, d_real, p_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real, d_real, p_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_real, d_real, p_vector, d_real);
+  transformed_param_vector = student_t_qf(p_real, d_real, p_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, d_real, p_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real, d_real, p_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_real, d_real, p_vector, p_real);
+  transformed_param_vector = student_t_qf(p_real, d_real, p_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, d_real, p_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real, d_real, p_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_real, d_real_array_1d, d_real, d_real);
+  transformed_param_vector = student_t_qf(p_real, d_real_array_1d, d_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, d_real_array_1d, d_real, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real, d_real_array_1d, d_real, d_vector);
+  transformed_param_vector = student_t_qf(p_real, d_real_array_1d, d_real, p_real);
+  transformed_param_vector = student_t_qf(p_real, d_real_array_1d, d_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, d_real_array_1d, d_real, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real, d_real_array_1d, d_real, p_vector);
+  transformed_param_vector = student_t_qf(p_real, d_real_array_1d, d_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(p_real, d_real_array_1d, d_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, d_real_array_1d, d_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real, d_real_array_1d, d_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(p_real, d_real_array_1d, d_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(p_real, d_real_array_1d, d_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, d_real_array_1d, d_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real, d_real_array_1d, d_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(p_real, d_real_array_1d, d_row_vector, d_real);
+  transformed_param_vector = student_t_qf(p_real, d_real_array_1d, d_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, d_real_array_1d, d_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real, d_real_array_1d, d_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_real, d_real_array_1d, d_row_vector, p_real);
+  transformed_param_vector = student_t_qf(p_real, d_real_array_1d, d_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, d_real_array_1d, d_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real, d_real_array_1d, d_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_real, d_real_array_1d, d_vector, d_real);
+  transformed_param_vector = student_t_qf(p_real, d_real_array_1d, d_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, d_real_array_1d, d_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real, d_real_array_1d, d_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_real, d_real_array_1d, d_vector, p_real);
+  transformed_param_vector = student_t_qf(p_real, d_real_array_1d, d_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, d_real_array_1d, d_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real, d_real_array_1d, d_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_real, d_real_array_1d, p_real, d_real);
+  transformed_param_vector = student_t_qf(p_real, d_real_array_1d, p_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, d_real_array_1d, p_real, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real, d_real_array_1d, p_real, d_vector);
+  transformed_param_vector = student_t_qf(p_real, d_real_array_1d, p_real, p_real);
+  transformed_param_vector = student_t_qf(p_real, d_real_array_1d, p_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, d_real_array_1d, p_real, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real, d_real_array_1d, p_real, p_vector);
+  transformed_param_vector = student_t_qf(p_real, d_real_array_1d, p_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(p_real, d_real_array_1d, p_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, d_real_array_1d, p_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real, d_real_array_1d, p_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(p_real, d_real_array_1d, p_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(p_real, d_real_array_1d, p_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, d_real_array_1d, p_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real, d_real_array_1d, p_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(p_real, d_real_array_1d, p_row_vector, d_real);
+  transformed_param_vector = student_t_qf(p_real, d_real_array_1d, p_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, d_real_array_1d, p_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real, d_real_array_1d, p_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_real, d_real_array_1d, p_row_vector, p_real);
+  transformed_param_vector = student_t_qf(p_real, d_real_array_1d, p_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, d_real_array_1d, p_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real, d_real_array_1d, p_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_real, d_real_array_1d, p_vector, d_real);
+  transformed_param_vector = student_t_qf(p_real, d_real_array_1d, p_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, d_real_array_1d, p_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real, d_real_array_1d, p_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_real, d_real_array_1d, p_vector, p_real);
+  transformed_param_vector = student_t_qf(p_real, d_real_array_1d, p_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, d_real_array_1d, p_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real, d_real_array_1d, p_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_real, d_row_vector, d_real, d_real);
+  transformed_param_vector = student_t_qf(p_real, d_row_vector, d_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, d_row_vector, d_real, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real, d_row_vector, d_real, d_vector);
+  transformed_param_vector = student_t_qf(p_real, d_row_vector, d_real, p_real);
+  transformed_param_vector = student_t_qf(p_real, d_row_vector, d_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, d_row_vector, d_real, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real, d_row_vector, d_real, p_vector);
+  transformed_param_vector = student_t_qf(p_real, d_row_vector, d_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(p_real, d_row_vector, d_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, d_row_vector, d_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real, d_row_vector, d_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(p_real, d_row_vector, d_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(p_real, d_row_vector, d_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, d_row_vector, d_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real, d_row_vector, d_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(p_real, d_row_vector, d_row_vector, d_real);
+  transformed_param_vector = student_t_qf(p_real, d_row_vector, d_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, d_row_vector, d_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real, d_row_vector, d_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_real, d_row_vector, d_row_vector, p_real);
+  transformed_param_vector = student_t_qf(p_real, d_row_vector, d_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, d_row_vector, d_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real, d_row_vector, d_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_real, d_row_vector, d_vector, d_real);
+  transformed_param_vector = student_t_qf(p_real, d_row_vector, d_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, d_row_vector, d_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real, d_row_vector, d_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_real, d_row_vector, d_vector, p_real);
+  transformed_param_vector = student_t_qf(p_real, d_row_vector, d_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, d_row_vector, d_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real, d_row_vector, d_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_real, d_row_vector, p_real, d_real);
+  transformed_param_vector = student_t_qf(p_real, d_row_vector, p_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, d_row_vector, p_real, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real, d_row_vector, p_real, d_vector);
+  transformed_param_vector = student_t_qf(p_real, d_row_vector, p_real, p_real);
+  transformed_param_vector = student_t_qf(p_real, d_row_vector, p_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, d_row_vector, p_real, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real, d_row_vector, p_real, p_vector);
+  transformed_param_vector = student_t_qf(p_real, d_row_vector, p_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(p_real, d_row_vector, p_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, d_row_vector, p_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real, d_row_vector, p_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(p_real, d_row_vector, p_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(p_real, d_row_vector, p_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, d_row_vector, p_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real, d_row_vector, p_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(p_real, d_row_vector, p_row_vector, d_real);
+  transformed_param_vector = student_t_qf(p_real, d_row_vector, p_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, d_row_vector, p_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real, d_row_vector, p_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_real, d_row_vector, p_row_vector, p_real);
+  transformed_param_vector = student_t_qf(p_real, d_row_vector, p_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, d_row_vector, p_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real, d_row_vector, p_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_real, d_row_vector, p_vector, d_real);
+  transformed_param_vector = student_t_qf(p_real, d_row_vector, p_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, d_row_vector, p_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real, d_row_vector, p_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_real, d_row_vector, p_vector, p_real);
+  transformed_param_vector = student_t_qf(p_real, d_row_vector, p_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, d_row_vector, p_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real, d_row_vector, p_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_real, d_vector, d_real, d_real);
+  transformed_param_vector = student_t_qf(p_real, d_vector, d_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, d_vector, d_real, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real, d_vector, d_real, d_vector);
+  transformed_param_vector = student_t_qf(p_real, d_vector, d_real, p_real);
+  transformed_param_vector = student_t_qf(p_real, d_vector, d_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, d_vector, d_real, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real, d_vector, d_real, p_vector);
+  transformed_param_vector = student_t_qf(p_real, d_vector, d_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(p_real, d_vector, d_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, d_vector, d_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real, d_vector, d_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(p_real, d_vector, d_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(p_real, d_vector, d_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, d_vector, d_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real, d_vector, d_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(p_real, d_vector, d_row_vector, d_real);
+  transformed_param_vector = student_t_qf(p_real, d_vector, d_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, d_vector, d_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real, d_vector, d_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_real, d_vector, d_row_vector, p_real);
+  transformed_param_vector = student_t_qf(p_real, d_vector, d_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, d_vector, d_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real, d_vector, d_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_real, d_vector, d_vector, d_real);
+  transformed_param_vector = student_t_qf(p_real, d_vector, d_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, d_vector, d_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real, d_vector, d_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_real, d_vector, d_vector, p_real);
+  transformed_param_vector = student_t_qf(p_real, d_vector, d_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, d_vector, d_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real, d_vector, d_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_real, d_vector, p_real, d_real);
+  transformed_param_vector = student_t_qf(p_real, d_vector, p_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, d_vector, p_real, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real, d_vector, p_real, d_vector);
+  transformed_param_vector = student_t_qf(p_real, d_vector, p_real, p_real);
+  transformed_param_vector = student_t_qf(p_real, d_vector, p_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, d_vector, p_real, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real, d_vector, p_real, p_vector);
+  transformed_param_vector = student_t_qf(p_real, d_vector, p_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(p_real, d_vector, p_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, d_vector, p_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real, d_vector, p_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(p_real, d_vector, p_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(p_real, d_vector, p_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, d_vector, p_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real, d_vector, p_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(p_real, d_vector, p_row_vector, d_real);
+  transformed_param_vector = student_t_qf(p_real, d_vector, p_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, d_vector, p_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real, d_vector, p_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_real, d_vector, p_row_vector, p_real);
+  transformed_param_vector = student_t_qf(p_real, d_vector, p_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, d_vector, p_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real, d_vector, p_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_real, d_vector, p_vector, d_real);
+  transformed_param_vector = student_t_qf(p_real, d_vector, p_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, d_vector, p_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real, d_vector, p_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_real, d_vector, p_vector, p_real);
+  transformed_param_vector = student_t_qf(p_real, d_vector, p_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, d_vector, p_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real, d_vector, p_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_real, p_real, d_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, p_real, d_real, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real, p_real, d_real, d_vector);
+  transformed_param_vector = student_t_qf(p_real, p_real, d_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, p_real, d_real, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real, p_real, d_real, p_vector);
+  transformed_param_vector = student_t_qf(p_real, p_real, d_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(p_real, p_real, d_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, p_real, d_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real, p_real, d_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(p_real, p_real, d_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(p_real, p_real, d_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, p_real, d_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real, p_real, d_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(p_real, p_real, d_row_vector, d_real);
+  transformed_param_vector = student_t_qf(p_real, p_real, d_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, p_real, d_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real, p_real, d_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_real, p_real, d_row_vector, p_real);
+  transformed_param_vector = student_t_qf(p_real, p_real, d_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, p_real, d_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real, p_real, d_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_real, p_real, d_vector, d_real);
+  transformed_param_vector = student_t_qf(p_real, p_real, d_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, p_real, d_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real, p_real, d_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_real, p_real, d_vector, p_real);
+  transformed_param_vector = student_t_qf(p_real, p_real, d_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, p_real, d_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real, p_real, d_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_real, p_real, p_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, p_real, p_real, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real, p_real, p_real, d_vector);
+  transformed_param_vector = student_t_qf(p_real, p_real, p_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, p_real, p_real, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real, p_real, p_real, p_vector);
+  transformed_param_vector = student_t_qf(p_real, p_real, p_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(p_real, p_real, p_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, p_real, p_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real, p_real, p_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(p_real, p_real, p_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(p_real, p_real, p_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, p_real, p_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real, p_real, p_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(p_real, p_real, p_row_vector, d_real);
+  transformed_param_vector = student_t_qf(p_real, p_real, p_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, p_real, p_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real, p_real, p_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_real, p_real, p_row_vector, p_real);
+  transformed_param_vector = student_t_qf(p_real, p_real, p_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, p_real, p_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real, p_real, p_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_real, p_real, p_vector, d_real);
+  transformed_param_vector = student_t_qf(p_real, p_real, p_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, p_real, p_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real, p_real, p_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_real, p_real, p_vector, p_real);
+  transformed_param_vector = student_t_qf(p_real, p_real, p_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, p_real, p_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real, p_real, p_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_real, p_real_array_1d, d_real, d_real);
+  transformed_param_vector = student_t_qf(p_real, p_real_array_1d, d_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, p_real_array_1d, d_real, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real, p_real_array_1d, d_real, d_vector);
+  transformed_param_vector = student_t_qf(p_real, p_real_array_1d, d_real, p_real);
+  transformed_param_vector = student_t_qf(p_real, p_real_array_1d, d_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, p_real_array_1d, d_real, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real, p_real_array_1d, d_real, p_vector);
+  transformed_param_vector = student_t_qf(p_real, p_real_array_1d, d_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(p_real, p_real_array_1d, d_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, p_real_array_1d, d_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real, p_real_array_1d, d_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(p_real, p_real_array_1d, d_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(p_real, p_real_array_1d, d_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, p_real_array_1d, d_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real, p_real_array_1d, d_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(p_real, p_real_array_1d, d_row_vector, d_real);
+  transformed_param_vector = student_t_qf(p_real, p_real_array_1d, d_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, p_real_array_1d, d_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real, p_real_array_1d, d_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_real, p_real_array_1d, d_row_vector, p_real);
+  transformed_param_vector = student_t_qf(p_real, p_real_array_1d, d_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, p_real_array_1d, d_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real, p_real_array_1d, d_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_real, p_real_array_1d, d_vector, d_real);
+  transformed_param_vector = student_t_qf(p_real, p_real_array_1d, d_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, p_real_array_1d, d_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real, p_real_array_1d, d_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_real, p_real_array_1d, d_vector, p_real);
+  transformed_param_vector = student_t_qf(p_real, p_real_array_1d, d_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, p_real_array_1d, d_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real, p_real_array_1d, d_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_real, p_real_array_1d, p_real, d_real);
+  transformed_param_vector = student_t_qf(p_real, p_real_array_1d, p_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, p_real_array_1d, p_real, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real, p_real_array_1d, p_real, d_vector);
+  transformed_param_vector = student_t_qf(p_real, p_real_array_1d, p_real, p_real);
+  transformed_param_vector = student_t_qf(p_real, p_real_array_1d, p_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, p_real_array_1d, p_real, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real, p_real_array_1d, p_real, p_vector);
+  transformed_param_vector = student_t_qf(p_real, p_real_array_1d, p_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(p_real, p_real_array_1d, p_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, p_real_array_1d, p_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real, p_real_array_1d, p_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(p_real, p_real_array_1d, p_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(p_real, p_real_array_1d, p_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, p_real_array_1d, p_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real, p_real_array_1d, p_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(p_real, p_real_array_1d, p_row_vector, d_real);
+  transformed_param_vector = student_t_qf(p_real, p_real_array_1d, p_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, p_real_array_1d, p_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real, p_real_array_1d, p_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_real, p_real_array_1d, p_row_vector, p_real);
+  transformed_param_vector = student_t_qf(p_real, p_real_array_1d, p_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, p_real_array_1d, p_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real, p_real_array_1d, p_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_real, p_real_array_1d, p_vector, d_real);
+  transformed_param_vector = student_t_qf(p_real, p_real_array_1d, p_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, p_real_array_1d, p_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real, p_real_array_1d, p_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_real, p_real_array_1d, p_vector, p_real);
+  transformed_param_vector = student_t_qf(p_real, p_real_array_1d, p_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, p_real_array_1d, p_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real, p_real_array_1d, p_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_real, p_row_vector, d_real, d_real);
+  transformed_param_vector = student_t_qf(p_real, p_row_vector, d_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, p_row_vector, d_real, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real, p_row_vector, d_real, d_vector);
+  transformed_param_vector = student_t_qf(p_real, p_row_vector, d_real, p_real);
+  transformed_param_vector = student_t_qf(p_real, p_row_vector, d_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, p_row_vector, d_real, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real, p_row_vector, d_real, p_vector);
+  transformed_param_vector = student_t_qf(p_real, p_row_vector, d_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(p_real, p_row_vector, d_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, p_row_vector, d_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real, p_row_vector, d_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(p_real, p_row_vector, d_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(p_real, p_row_vector, d_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, p_row_vector, d_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real, p_row_vector, d_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(p_real, p_row_vector, d_row_vector, d_real);
+  transformed_param_vector = student_t_qf(p_real, p_row_vector, d_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, p_row_vector, d_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real, p_row_vector, d_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_real, p_row_vector, d_row_vector, p_real);
+  transformed_param_vector = student_t_qf(p_real, p_row_vector, d_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, p_row_vector, d_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real, p_row_vector, d_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_real, p_row_vector, d_vector, d_real);
+  transformed_param_vector = student_t_qf(p_real, p_row_vector, d_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, p_row_vector, d_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real, p_row_vector, d_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_real, p_row_vector, d_vector, p_real);
+  transformed_param_vector = student_t_qf(p_real, p_row_vector, d_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, p_row_vector, d_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real, p_row_vector, d_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_real, p_row_vector, p_real, d_real);
+  transformed_param_vector = student_t_qf(p_real, p_row_vector, p_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, p_row_vector, p_real, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real, p_row_vector, p_real, d_vector);
+  transformed_param_vector = student_t_qf(p_real, p_row_vector, p_real, p_real);
+  transformed_param_vector = student_t_qf(p_real, p_row_vector, p_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, p_row_vector, p_real, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real, p_row_vector, p_real, p_vector);
+  transformed_param_vector = student_t_qf(p_real, p_row_vector, p_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(p_real, p_row_vector, p_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, p_row_vector, p_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real, p_row_vector, p_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(p_real, p_row_vector, p_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(p_real, p_row_vector, p_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, p_row_vector, p_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real, p_row_vector, p_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(p_real, p_row_vector, p_row_vector, d_real);
+  transformed_param_vector = student_t_qf(p_real, p_row_vector, p_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, p_row_vector, p_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real, p_row_vector, p_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_real, p_row_vector, p_row_vector, p_real);
+  transformed_param_vector = student_t_qf(p_real, p_row_vector, p_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, p_row_vector, p_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real, p_row_vector, p_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_real, p_row_vector, p_vector, d_real);
+  transformed_param_vector = student_t_qf(p_real, p_row_vector, p_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, p_row_vector, p_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real, p_row_vector, p_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_real, p_row_vector, p_vector, p_real);
+  transformed_param_vector = student_t_qf(p_real, p_row_vector, p_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, p_row_vector, p_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real, p_row_vector, p_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_real, p_vector, d_real, d_real);
+  transformed_param_vector = student_t_qf(p_real, p_vector, d_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, p_vector, d_real, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real, p_vector, d_real, d_vector);
+  transformed_param_vector = student_t_qf(p_real, p_vector, d_real, p_real);
+  transformed_param_vector = student_t_qf(p_real, p_vector, d_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, p_vector, d_real, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real, p_vector, d_real, p_vector);
+  transformed_param_vector = student_t_qf(p_real, p_vector, d_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(p_real, p_vector, d_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, p_vector, d_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real, p_vector, d_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(p_real, p_vector, d_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(p_real, p_vector, d_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, p_vector, d_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real, p_vector, d_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(p_real, p_vector, d_row_vector, d_real);
+  transformed_param_vector = student_t_qf(p_real, p_vector, d_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, p_vector, d_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real, p_vector, d_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_real, p_vector, d_row_vector, p_real);
+  transformed_param_vector = student_t_qf(p_real, p_vector, d_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, p_vector, d_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real, p_vector, d_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_real, p_vector, d_vector, d_real);
+  transformed_param_vector = student_t_qf(p_real, p_vector, d_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, p_vector, d_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real, p_vector, d_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_real, p_vector, d_vector, p_real);
+  transformed_param_vector = student_t_qf(p_real, p_vector, d_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, p_vector, d_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real, p_vector, d_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_real, p_vector, p_real, d_real);
+  transformed_param_vector = student_t_qf(p_real, p_vector, p_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, p_vector, p_real, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real, p_vector, p_real, d_vector);
+  transformed_param_vector = student_t_qf(p_real, p_vector, p_real, p_real);
+  transformed_param_vector = student_t_qf(p_real, p_vector, p_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, p_vector, p_real, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real, p_vector, p_real, p_vector);
+  transformed_param_vector = student_t_qf(p_real, p_vector, p_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(p_real, p_vector, p_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, p_vector, p_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real, p_vector, p_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(p_real, p_vector, p_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(p_real, p_vector, p_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, p_vector, p_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real, p_vector, p_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(p_real, p_vector, p_row_vector, d_real);
+  transformed_param_vector = student_t_qf(p_real, p_vector, p_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, p_vector, p_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real, p_vector, p_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_real, p_vector, p_row_vector, p_real);
+  transformed_param_vector = student_t_qf(p_real, p_vector, p_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, p_vector, p_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real, p_vector, p_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_real, p_vector, p_vector, d_real);
+  transformed_param_vector = student_t_qf(p_real, p_vector, p_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, p_vector, p_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real, p_vector, p_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_real, p_vector, p_vector, p_real);
+  transformed_param_vector = student_t_qf(p_real, p_vector, p_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real, p_vector, p_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real, p_vector, p_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_real, d_real, d_real);
+  transformed_param_vector = student_t_qf(p_vector, d_real, d_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, d_real, d_real, d_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_real, d_real, d_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_real, d_real, p_real);
+  transformed_param_vector = student_t_qf(p_vector, d_real, d_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, d_real, d_real, p_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_real, d_real, p_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_real, d_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(p_vector, d_real, d_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, d_real, d_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_real, d_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_real, d_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(p_vector, d_real, d_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, d_real, d_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_real, d_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_real, d_row_vector, d_real);
+  transformed_param_vector = student_t_qf(p_vector, d_real, d_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, d_real, d_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_real, d_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_real, d_row_vector, p_real);
+  transformed_param_vector = student_t_qf(p_vector, d_real, d_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, d_real, d_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_real, d_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_real, d_vector, d_real);
+  transformed_param_vector = student_t_qf(p_vector, d_real, d_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, d_real, d_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_real, d_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_real, d_vector, p_real);
+  transformed_param_vector = student_t_qf(p_vector, d_real, d_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, d_real, d_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_real, d_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_real, p_real, d_real);
+  transformed_param_vector = student_t_qf(p_vector, d_real, p_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, d_real, p_real, d_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_real, p_real, d_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_real, p_real, p_real);
+  transformed_param_vector = student_t_qf(p_vector, d_real, p_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, d_real, p_real, p_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_real, p_real, p_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_real, p_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(p_vector, d_real, p_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, d_real, p_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_real, p_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_real, p_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(p_vector, d_real, p_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, d_real, p_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_real, p_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_real, p_row_vector, d_real);
+  transformed_param_vector = student_t_qf(p_vector, d_real, p_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, d_real, p_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_real, p_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_real, p_row_vector, p_real);
+  transformed_param_vector = student_t_qf(p_vector, d_real, p_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, d_real, p_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_real, p_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_real, p_vector, d_real);
+  transformed_param_vector = student_t_qf(p_vector, d_real, p_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, d_real, p_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_real, p_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_real, p_vector, p_real);
+  transformed_param_vector = student_t_qf(p_vector, d_real, p_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, d_real, p_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_real, p_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_vector, d_real, d_real);
+  transformed_param_vector = student_t_qf(p_vector, d_vector, d_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, d_vector, d_real, d_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_vector, d_real, d_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_vector, d_real, p_real);
+  transformed_param_vector = student_t_qf(p_vector, d_vector, d_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, d_vector, d_real, p_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_vector, d_real, p_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_vector, d_vector, d_real);
+  transformed_param_vector = student_t_qf(p_vector, d_vector, d_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_vector, d_vector, p_real);
+  transformed_param_vector = student_t_qf(p_vector, d_vector, d_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_vector, p_real, d_real);
+  transformed_param_vector = student_t_qf(p_vector, d_vector, p_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, d_vector, p_real, d_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_vector, p_real, d_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_vector, p_real, p_real);
+  transformed_param_vector = student_t_qf(p_vector, d_vector, p_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, d_vector, p_real, p_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_vector, p_real, p_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_vector, p_vector, d_real);
+  transformed_param_vector = student_t_qf(p_vector, d_vector, p_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_vector, p_vector, p_real);
+  transformed_param_vector = student_t_qf(p_vector, d_vector, p_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_real, d_real, d_real);
+  transformed_param_vector = student_t_qf(p_vector, p_real, d_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, p_real, d_real, d_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_real, d_real, d_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_real, d_real, p_real);
+  transformed_param_vector = student_t_qf(p_vector, p_real, d_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, p_real, d_real, p_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_real, d_real, p_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_real, d_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(p_vector, p_real, d_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, p_real, d_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_real, d_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_real, d_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(p_vector, p_real, d_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, p_real, d_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_real, d_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_real, d_row_vector, d_real);
+  transformed_param_vector = student_t_qf(p_vector, p_real, d_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, p_real, d_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_real, d_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_real, d_row_vector, p_real);
+  transformed_param_vector = student_t_qf(p_vector, p_real, d_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, p_real, d_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_real, d_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_real, d_vector, d_real);
+  transformed_param_vector = student_t_qf(p_vector, p_real, d_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, p_real, d_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_real, d_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_real, d_vector, p_real);
+  transformed_param_vector = student_t_qf(p_vector, p_real, d_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, p_real, d_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_real, d_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_real, p_real, d_real);
+  transformed_param_vector = student_t_qf(p_vector, p_real, p_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, p_real, p_real, d_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_real, p_real, d_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_real, p_real, p_real);
+  transformed_param_vector = student_t_qf(p_vector, p_real, p_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, p_real, p_real, p_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_real, p_real, p_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_real, p_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(p_vector, p_real, p_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, p_real, p_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_real, p_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_real, p_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(p_vector, p_real, p_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, p_real, p_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_real, p_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_real, p_row_vector, d_real);
+  transformed_param_vector = student_t_qf(p_vector, p_real, p_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, p_real, p_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_real, p_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_real, p_row_vector, p_real);
+  transformed_param_vector = student_t_qf(p_vector, p_real, p_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, p_real, p_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_real, p_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_real, p_vector, d_real);
+  transformed_param_vector = student_t_qf(p_vector, p_real, p_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, p_real, p_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_real, p_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_real, p_vector, p_real);
+  transformed_param_vector = student_t_qf(p_vector, p_real, p_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, p_real, p_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_real, p_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_vector, d_real, d_real);
+  transformed_param_vector = student_t_qf(p_vector, p_vector, d_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, p_vector, d_real, d_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_vector, d_real, d_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_vector, d_real, p_real);
+  transformed_param_vector = student_t_qf(p_vector, p_vector, d_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, p_vector, d_real, p_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_vector, d_real, p_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_vector, d_vector, d_real);
+  transformed_param_vector = student_t_qf(p_vector, p_vector, d_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_vector, d_vector, p_real);
+  transformed_param_vector = student_t_qf(p_vector, p_vector, d_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_vector, p_real, d_real);
+  transformed_param_vector = student_t_qf(p_vector, p_vector, p_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, p_vector, p_real, d_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_vector, p_real, d_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_vector, p_real, p_real);
+  transformed_param_vector = student_t_qf(p_vector, p_vector, p_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, p_vector, p_real, p_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_vector, p_real, p_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_vector, p_vector, d_real);
+  transformed_param_vector = student_t_qf(p_vector, p_vector, p_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_vector, p_vector, p_real);
+  transformed_param_vector = student_t_qf(p_vector, p_vector, p_vector, p_vector);
+}
diff --git a/test/integration/good/function-signatures/distributions/univariate/continuous/student_t/student_t_qf_2.stan b/test/integration/good/function-signatures/distributions/univariate/continuous/student_t/student_t_qf_2.stan
new file mode 100644
index 0000000000..0bd8f018a2
--- /dev/null
+++ b/test/integration/good/function-signatures/distributions/univariate/continuous/student_t/student_t_qf_2.stan
@@ -0,0 +1,1497 @@
+data {
+  int d_int;
+  real d_real;
+  vector[d_int] d_vector;
+  row_vector[d_int] d_row_vector;
+  array[d_int] real d_real_array_1d;
+
+
+}
+
+transformed data {
+  int td_int;
+  real td_real;
+  vector[d_int] td_vector;
+  row_vector[d_int] td_row_vector;
+  array[d_int] real td_real_array_1d;
+
+  td_vector = student_t_qf(d_row_vector, d_real, d_real, d_real);
+  td_vector = student_t_qf(d_row_vector, d_real, d_real, d_real_array_1d);
+  td_vector = student_t_qf(d_row_vector, d_real, d_real, d_row_vector);
+  td_vector = student_t_qf(d_row_vector, d_real, d_real, d_vector);
+  td_vector = student_t_qf(d_row_vector, d_real, d_real_array_1d, d_real);
+  td_vector = student_t_qf(d_row_vector, d_real, d_real_array_1d, d_real_array_1d);
+  td_vector = student_t_qf(d_row_vector, d_real, d_real_array_1d, d_row_vector);
+  td_vector = student_t_qf(d_row_vector, d_real, d_real_array_1d, d_vector);
+  td_vector = student_t_qf(d_row_vector, d_real, d_row_vector, d_real);
+  td_vector = student_t_qf(d_row_vector, d_real, d_row_vector, d_real_array_1d);
+  td_vector = student_t_qf(d_row_vector, d_real, d_row_vector, d_row_vector);
+  td_vector = student_t_qf(d_row_vector, d_real, d_row_vector, d_vector);
+  td_vector = student_t_qf(d_row_vector, d_real, d_vector, d_real);
+  td_vector = student_t_qf(d_row_vector, d_real, d_vector, d_real_array_1d);
+  td_vector = student_t_qf(d_row_vector, d_real, d_vector, d_row_vector);
+  td_vector = student_t_qf(d_row_vector, d_real, d_vector, d_vector);
+  td_vector = student_t_qf(d_row_vector, d_row_vector, d_real, d_real);
+  td_vector = student_t_qf(d_row_vector, d_row_vector, d_real, d_real_array_1d);
+  td_vector = student_t_qf(d_row_vector, d_row_vector, d_real, d_row_vector);
+  td_vector = student_t_qf(d_row_vector, d_row_vector, d_real, d_vector);
+  td_vector = student_t_qf(d_row_vector, d_row_vector, d_row_vector, d_real);
+  td_vector = student_t_qf(d_row_vector, d_row_vector, d_row_vector, d_real_array_1d);
+  td_vector = student_t_qf(d_row_vector, d_row_vector, d_row_vector, d_row_vector);
+  td_vector = student_t_qf(d_row_vector, d_row_vector, d_row_vector, d_vector);
+  td_vector = student_t_qf(d_row_vector, d_row_vector, d_vector, d_real);
+  td_vector = student_t_qf(d_row_vector, d_row_vector, d_vector, d_real_array_1d);
+  td_vector = student_t_qf(d_row_vector, d_row_vector, d_vector, d_row_vector);
+  td_vector = student_t_qf(d_row_vector, d_row_vector, d_vector, d_vector);
+  td_vector = student_t_qf(d_row_vector, d_vector, d_real, d_real);
+  td_vector = student_t_qf(d_row_vector, d_vector, d_real, d_real_array_1d);
+  td_vector = student_t_qf(d_row_vector, d_vector, d_real, d_row_vector);
+  td_vector = student_t_qf(d_row_vector, d_vector, d_real, d_vector);
+  td_vector = student_t_qf(d_row_vector, d_vector, d_real_array_1d, d_real);
+  td_vector = student_t_qf(d_row_vector, d_vector, d_real_array_1d, d_real_array_1d);
+  td_vector = student_t_qf(d_row_vector, d_vector, d_real_array_1d, d_row_vector);
+  td_vector = student_t_qf(d_row_vector, d_vector, d_real_array_1d, d_vector);
+  td_vector = student_t_qf(d_row_vector, d_vector, d_row_vector, d_real);
+  td_vector = student_t_qf(d_row_vector, d_vector, d_row_vector, d_real_array_1d);
+  td_vector = student_t_qf(d_row_vector, d_vector, d_row_vector, d_row_vector);
+  td_vector = student_t_qf(d_row_vector, d_vector, d_row_vector, d_vector);
+  td_vector = student_t_qf(d_row_vector, d_vector, d_vector, d_real);
+  td_vector = student_t_qf(d_row_vector, d_vector, d_vector, d_real_array_1d);
+  td_vector = student_t_qf(d_row_vector, d_vector, d_vector, d_row_vector);
+  td_vector = student_t_qf(d_row_vector, d_vector, d_vector, d_vector);
+  td_vector = student_t_qf(d_vector, d_real_array_1d, d_real, d_real);
+  td_vector = student_t_qf(d_vector, d_real_array_1d, d_real, d_real_array_1d);
+  td_vector = student_t_qf(d_vector, d_real_array_1d, d_real, d_row_vector);
+  td_vector = student_t_qf(d_vector, d_real_array_1d, d_real, d_vector);
+  td_vector = student_t_qf(d_vector, d_real_array_1d, d_real_array_1d, d_real);
+  td_vector = student_t_qf(d_vector, d_real_array_1d, d_real_array_1d, d_real_array_1d);
+  td_vector = student_t_qf(d_vector, d_real_array_1d, d_real_array_1d, d_row_vector);
+  td_vector = student_t_qf(d_vector, d_real_array_1d, d_real_array_1d, d_vector);
+  td_vector = student_t_qf(d_vector, d_real_array_1d, d_row_vector, d_real);
+  td_vector = student_t_qf(d_vector, d_real_array_1d, d_row_vector, d_real_array_1d);
+  td_vector = student_t_qf(d_vector, d_real_array_1d, d_row_vector, d_row_vector);
+  td_vector = student_t_qf(d_vector, d_real_array_1d, d_row_vector, d_vector);
+  td_vector = student_t_qf(d_vector, d_real_array_1d, d_vector, d_real);
+  td_vector = student_t_qf(d_vector, d_real_array_1d, d_vector, d_real_array_1d);
+  td_vector = student_t_qf(d_vector, d_real_array_1d, d_vector, d_row_vector);
+  td_vector = student_t_qf(d_vector, d_real_array_1d, d_vector, d_vector);
+  td_vector = student_t_qf(d_vector, d_row_vector, d_real, d_real);
+  td_vector = student_t_qf(d_vector, d_row_vector, d_real, d_real_array_1d);
+  td_vector = student_t_qf(d_vector, d_row_vector, d_real, d_row_vector);
+  td_vector = student_t_qf(d_vector, d_row_vector, d_real, d_vector);
+  td_vector = student_t_qf(d_vector, d_row_vector, d_real_array_1d, d_real);
+  td_vector = student_t_qf(d_vector, d_row_vector, d_real_array_1d, d_real_array_1d);
+  td_vector = student_t_qf(d_vector, d_row_vector, d_real_array_1d, d_row_vector);
+  td_vector = student_t_qf(d_vector, d_row_vector, d_real_array_1d, d_vector);
+  td_vector = student_t_qf(d_vector, d_row_vector, d_row_vector, d_real);
+  td_vector = student_t_qf(d_vector, d_row_vector, d_row_vector, d_real_array_1d);
+  td_vector = student_t_qf(d_vector, d_row_vector, d_row_vector, d_row_vector);
+  td_vector = student_t_qf(d_vector, d_row_vector, d_row_vector, d_vector);
+  td_vector = student_t_qf(d_vector, d_row_vector, d_vector, d_real);
+  td_vector = student_t_qf(d_vector, d_row_vector, d_vector, d_real_array_1d);
+  td_vector = student_t_qf(d_vector, d_row_vector, d_vector, d_row_vector);
+  td_vector = student_t_qf(d_vector, d_row_vector, d_vector, d_vector);
+  td_vector = student_t_qf(d_vector, d_vector, d_real_array_1d, d_real);
+  td_vector = student_t_qf(d_vector, d_vector, d_real_array_1d, d_real_array_1d);
+  td_vector = student_t_qf(d_vector, d_vector, d_real_array_1d, d_row_vector);
+  td_vector = student_t_qf(d_vector, d_vector, d_real_array_1d, d_vector);
+  td_vector = student_t_qf(d_vector, d_vector, d_row_vector, d_real);
+  td_vector = student_t_qf(d_vector, d_vector, d_row_vector, d_real_array_1d);
+  td_vector = student_t_qf(d_vector, d_vector, d_row_vector, d_row_vector);
+  td_vector = student_t_qf(d_vector, d_vector, d_row_vector, d_vector);
+  td_vector = student_t_qf(d_vector, d_vector, d_vector, d_real_array_1d);
+  td_vector = student_t_qf(d_vector, d_vector, d_vector, d_row_vector);
+}
+
+parameters {
+  real p_real;
+  vector[d_int] p_vector;
+  row_vector[d_int] p_row_vector;
+  array[d_int] real p_real_array_1d;
+
+
+}
+
+transformed parameters {
+  real transformed_param_real;
+  vector[d_int] transformed_param_vector;
+  row_vector[d_int] transformed_param_row_vector;
+  array[d_int] real transformed_param_real_array_1d;
+
+  transformed_param_vector = student_t_qf(d_row_vector, d_real, d_real, d_real);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real, d_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real, d_real, d_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real, d_real, d_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real, d_real, p_real);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real, d_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real, d_real, p_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real, d_real, p_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real, d_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real, d_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real, d_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real, d_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real, d_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real, d_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real, d_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real, d_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real, d_row_vector, d_real);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real, d_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real, d_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real, d_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real, d_row_vector, p_real);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real, d_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real, d_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real, d_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real, d_vector, d_real);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real, d_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real, d_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real, d_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real, d_vector, p_real);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real, d_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real, d_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real, d_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real, p_real, d_real);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real, p_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real, p_real, d_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real, p_real, d_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real, p_real, p_real);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real, p_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real, p_real, p_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real, p_real, p_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real, p_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real, p_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real, p_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real, p_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real, p_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real, p_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real, p_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real, p_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real, p_row_vector, d_real);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real, p_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real, p_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real, p_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real, p_row_vector, p_real);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real, p_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real, p_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real, p_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real, p_vector, d_real);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real, p_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real, p_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real, p_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real, p_vector, p_real);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real, p_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real, p_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real, p_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_row_vector, d_real, d_real);
+  transformed_param_vector = student_t_qf(d_row_vector, d_row_vector, d_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, d_row_vector, d_real, d_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_row_vector, d_real, d_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_row_vector, d_real, p_real);
+  transformed_param_vector = student_t_qf(d_row_vector, d_row_vector, d_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, d_row_vector, d_real, p_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_row_vector, d_real, p_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_row_vector, d_row_vector, d_real);
+  transformed_param_vector = student_t_qf(d_row_vector, d_row_vector, d_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, d_row_vector, d_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_row_vector, d_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_row_vector, d_row_vector, p_real);
+  transformed_param_vector = student_t_qf(d_row_vector, d_row_vector, d_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, d_row_vector, d_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_row_vector, d_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_row_vector, d_vector, d_real);
+  transformed_param_vector = student_t_qf(d_row_vector, d_row_vector, d_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, d_row_vector, d_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_row_vector, d_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_row_vector, d_vector, p_real);
+  transformed_param_vector = student_t_qf(d_row_vector, d_row_vector, d_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, d_row_vector, d_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_row_vector, d_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_row_vector, p_real, d_real);
+  transformed_param_vector = student_t_qf(d_row_vector, d_row_vector, p_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, d_row_vector, p_real, d_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_row_vector, p_real, d_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_row_vector, p_real, p_real);
+  transformed_param_vector = student_t_qf(d_row_vector, d_row_vector, p_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, d_row_vector, p_real, p_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_row_vector, p_real, p_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_row_vector, p_row_vector, d_real);
+  transformed_param_vector = student_t_qf(d_row_vector, d_row_vector, p_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, d_row_vector, p_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_row_vector, p_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_row_vector, p_row_vector, p_real);
+  transformed_param_vector = student_t_qf(d_row_vector, d_row_vector, p_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, d_row_vector, p_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_row_vector, p_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_row_vector, p_vector, d_real);
+  transformed_param_vector = student_t_qf(d_row_vector, d_row_vector, p_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, d_row_vector, p_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_row_vector, p_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_row_vector, p_vector, p_real);
+  transformed_param_vector = student_t_qf(d_row_vector, d_row_vector, p_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, d_row_vector, p_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_row_vector, p_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_vector, d_real, d_real);
+  transformed_param_vector = student_t_qf(d_row_vector, d_vector, d_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, d_vector, d_real, d_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_vector, d_real, d_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_vector, d_real, p_real);
+  transformed_param_vector = student_t_qf(d_row_vector, d_vector, d_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, d_vector, d_real, p_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_vector, d_real, p_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_vector, d_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(d_row_vector, d_vector, d_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, d_vector, d_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_vector, d_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_vector, d_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(d_row_vector, d_vector, d_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, d_vector, d_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_vector, d_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_vector, d_row_vector, d_real);
+  transformed_param_vector = student_t_qf(d_row_vector, d_vector, d_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, d_vector, d_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_vector, d_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_vector, d_row_vector, p_real);
+  transformed_param_vector = student_t_qf(d_row_vector, d_vector, d_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, d_vector, d_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_vector, d_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_vector, d_vector, d_real);
+  transformed_param_vector = student_t_qf(d_row_vector, d_vector, d_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, d_vector, d_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_vector, d_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_vector, d_vector, p_real);
+  transformed_param_vector = student_t_qf(d_row_vector, d_vector, d_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, d_vector, d_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_vector, d_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_vector, p_real, d_real);
+  transformed_param_vector = student_t_qf(d_row_vector, d_vector, p_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, d_vector, p_real, d_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_vector, p_real, d_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_vector, p_real, p_real);
+  transformed_param_vector = student_t_qf(d_row_vector, d_vector, p_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, d_vector, p_real, p_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_vector, p_real, p_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_vector, p_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(d_row_vector, d_vector, p_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, d_vector, p_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_vector, p_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_vector, p_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(d_row_vector, d_vector, p_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, d_vector, p_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_vector, p_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_vector, p_row_vector, d_real);
+  transformed_param_vector = student_t_qf(d_row_vector, d_vector, p_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, d_vector, p_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_vector, p_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_vector, p_row_vector, p_real);
+  transformed_param_vector = student_t_qf(d_row_vector, d_vector, p_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, d_vector, p_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_vector, p_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_vector, p_vector, d_real);
+  transformed_param_vector = student_t_qf(d_row_vector, d_vector, p_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, d_vector, p_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_vector, p_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_vector, p_vector, p_real);
+  transformed_param_vector = student_t_qf(d_row_vector, d_vector, p_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, d_vector, p_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_vector, p_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real, d_real, d_real);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real, d_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real, d_real, d_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real, d_real, d_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real, d_real, p_real);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real, d_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real, d_real, p_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real, d_real, p_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real, d_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real, d_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real, d_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real, d_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real, d_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real, d_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real, d_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real, d_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real, d_row_vector, d_real);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real, d_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real, d_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real, d_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real, d_row_vector, p_real);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real, d_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real, d_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real, d_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real, d_vector, d_real);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real, d_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real, d_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real, d_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real, d_vector, p_real);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real, d_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real, d_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real, d_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real, p_real, d_real);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real, p_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real, p_real, d_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real, p_real, d_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real, p_real, p_real);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real, p_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real, p_real, p_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real, p_real, p_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real, p_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real, p_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real, p_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real, p_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real, p_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real, p_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real, p_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real, p_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real, p_row_vector, d_real);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real, p_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real, p_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real, p_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real, p_row_vector, p_real);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real, p_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real, p_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real, p_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real, p_vector, d_real);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real, p_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real, p_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real, p_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real, p_vector, p_real);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real, p_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real, p_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real, p_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_row_vector, d_real, d_real);
+  transformed_param_vector = student_t_qf(d_row_vector, p_row_vector, d_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, p_row_vector, d_real, d_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_row_vector, d_real, d_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_row_vector, d_real, p_real);
+  transformed_param_vector = student_t_qf(d_row_vector, p_row_vector, d_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, p_row_vector, d_real, p_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_row_vector, d_real, p_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_row_vector, d_row_vector, d_real);
+  transformed_param_vector = student_t_qf(d_row_vector, p_row_vector, d_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, p_row_vector, d_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_row_vector, d_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_row_vector, d_row_vector, p_real);
+  transformed_param_vector = student_t_qf(d_row_vector, p_row_vector, d_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, p_row_vector, d_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_row_vector, d_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_row_vector, d_vector, d_real);
+  transformed_param_vector = student_t_qf(d_row_vector, p_row_vector, d_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, p_row_vector, d_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_row_vector, d_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_row_vector, d_vector, p_real);
+  transformed_param_vector = student_t_qf(d_row_vector, p_row_vector, d_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, p_row_vector, d_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_row_vector, d_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_row_vector, p_real, d_real);
+  transformed_param_vector = student_t_qf(d_row_vector, p_row_vector, p_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, p_row_vector, p_real, d_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_row_vector, p_real, d_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_row_vector, p_real, p_real);
+  transformed_param_vector = student_t_qf(d_row_vector, p_row_vector, p_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, p_row_vector, p_real, p_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_row_vector, p_real, p_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_row_vector, p_row_vector, d_real);
+  transformed_param_vector = student_t_qf(d_row_vector, p_row_vector, p_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, p_row_vector, p_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_row_vector, p_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_row_vector, p_row_vector, p_real);
+  transformed_param_vector = student_t_qf(d_row_vector, p_row_vector, p_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, p_row_vector, p_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_row_vector, p_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_row_vector, p_vector, d_real);
+  transformed_param_vector = student_t_qf(d_row_vector, p_row_vector, p_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, p_row_vector, p_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_row_vector, p_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_row_vector, p_vector, p_real);
+  transformed_param_vector = student_t_qf(d_row_vector, p_row_vector, p_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, p_row_vector, p_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_row_vector, p_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_vector, d_real, d_real);
+  transformed_param_vector = student_t_qf(d_row_vector, p_vector, d_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, p_vector, d_real, d_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_vector, d_real, d_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_vector, d_real, p_real);
+  transformed_param_vector = student_t_qf(d_row_vector, p_vector, d_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, p_vector, d_real, p_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_vector, d_real, p_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_vector, d_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(d_row_vector, p_vector, d_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, p_vector, d_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_vector, d_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_vector, d_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(d_row_vector, p_vector, d_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, p_vector, d_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_vector, d_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_vector, d_row_vector, d_real);
+  transformed_param_vector = student_t_qf(d_row_vector, p_vector, d_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, p_vector, d_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_vector, d_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_vector, d_row_vector, p_real);
+  transformed_param_vector = student_t_qf(d_row_vector, p_vector, d_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, p_vector, d_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_vector, d_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_vector, d_vector, d_real);
+  transformed_param_vector = student_t_qf(d_row_vector, p_vector, d_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, p_vector, d_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_vector, d_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_vector, d_vector, p_real);
+  transformed_param_vector = student_t_qf(d_row_vector, p_vector, d_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, p_vector, d_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_vector, d_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_vector, p_real, d_real);
+  transformed_param_vector = student_t_qf(d_row_vector, p_vector, p_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, p_vector, p_real, d_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_vector, p_real, d_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_vector, p_real, p_real);
+  transformed_param_vector = student_t_qf(d_row_vector, p_vector, p_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, p_vector, p_real, p_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_vector, p_real, p_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_vector, p_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(d_row_vector, p_vector, p_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, p_vector, p_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_vector, p_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_vector, p_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(d_row_vector, p_vector, p_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, p_vector, p_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_vector, p_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_vector, p_row_vector, d_real);
+  transformed_param_vector = student_t_qf(d_row_vector, p_vector, p_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, p_vector, p_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_vector, p_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_vector, p_row_vector, p_real);
+  transformed_param_vector = student_t_qf(d_row_vector, p_vector, p_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, p_vector, p_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_vector, p_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_vector, p_vector, d_real);
+  transformed_param_vector = student_t_qf(d_row_vector, p_vector, p_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, p_vector, p_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_vector, p_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_vector, p_vector, p_real);
+  transformed_param_vector = student_t_qf(d_row_vector, p_vector, p_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, p_vector, p_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_vector, p_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_real_array_1d, d_real, d_real);
+  transformed_param_vector = student_t_qf(d_vector, d_real_array_1d, d_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, d_real_array_1d, d_real, d_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_real_array_1d, d_real, d_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_real_array_1d, d_real, p_real);
+  transformed_param_vector = student_t_qf(d_vector, d_real_array_1d, d_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, d_real_array_1d, d_real, p_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_real_array_1d, d_real, p_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_real_array_1d, d_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(d_vector, d_real_array_1d, d_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, d_real_array_1d, d_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_real_array_1d, d_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_real_array_1d, d_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(d_vector, d_real_array_1d, d_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, d_real_array_1d, d_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_real_array_1d, d_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_real_array_1d, d_row_vector, d_real);
+  transformed_param_vector = student_t_qf(d_vector, d_real_array_1d, d_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, d_real_array_1d, d_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_real_array_1d, d_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_real_array_1d, d_row_vector, p_real);
+  transformed_param_vector = student_t_qf(d_vector, d_real_array_1d, d_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, d_real_array_1d, d_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_real_array_1d, d_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_real_array_1d, d_vector, d_real);
+  transformed_param_vector = student_t_qf(d_vector, d_real_array_1d, d_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, d_real_array_1d, d_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_real_array_1d, d_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_real_array_1d, d_vector, p_real);
+  transformed_param_vector = student_t_qf(d_vector, d_real_array_1d, d_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, d_real_array_1d, d_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_real_array_1d, d_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_real_array_1d, p_real, d_real);
+  transformed_param_vector = student_t_qf(d_vector, d_real_array_1d, p_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, d_real_array_1d, p_real, d_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_real_array_1d, p_real, d_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_real_array_1d, p_real, p_real);
+  transformed_param_vector = student_t_qf(d_vector, d_real_array_1d, p_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, d_real_array_1d, p_real, p_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_real_array_1d, p_real, p_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_real_array_1d, p_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(d_vector, d_real_array_1d, p_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, d_real_array_1d, p_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_real_array_1d, p_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_real_array_1d, p_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(d_vector, d_real_array_1d, p_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, d_real_array_1d, p_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_real_array_1d, p_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_real_array_1d, p_row_vector, d_real);
+  transformed_param_vector = student_t_qf(d_vector, d_real_array_1d, p_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, d_real_array_1d, p_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_real_array_1d, p_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_real_array_1d, p_row_vector, p_real);
+  transformed_param_vector = student_t_qf(d_vector, d_real_array_1d, p_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, d_real_array_1d, p_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_real_array_1d, p_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_real_array_1d, p_vector, d_real);
+  transformed_param_vector = student_t_qf(d_vector, d_real_array_1d, p_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, d_real_array_1d, p_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_real_array_1d, p_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_real_array_1d, p_vector, p_real);
+  transformed_param_vector = student_t_qf(d_vector, d_real_array_1d, p_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, d_real_array_1d, p_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_real_array_1d, p_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_row_vector, d_real, d_real);
+  transformed_param_vector = student_t_qf(d_vector, d_row_vector, d_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, d_row_vector, d_real, d_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_row_vector, d_real, d_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_row_vector, d_real, p_real);
+  transformed_param_vector = student_t_qf(d_vector, d_row_vector, d_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, d_row_vector, d_real, p_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_row_vector, d_real, p_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_row_vector, d_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(d_vector, d_row_vector, d_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, d_row_vector, d_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_row_vector, d_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_row_vector, d_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(d_vector, d_row_vector, d_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, d_row_vector, d_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_row_vector, d_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_row_vector, d_row_vector, d_real);
+  transformed_param_vector = student_t_qf(d_vector, d_row_vector, d_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, d_row_vector, d_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_row_vector, d_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_row_vector, d_row_vector, p_real);
+  transformed_param_vector = student_t_qf(d_vector, d_row_vector, d_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, d_row_vector, d_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_row_vector, d_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_row_vector, d_vector, d_real);
+  transformed_param_vector = student_t_qf(d_vector, d_row_vector, d_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, d_row_vector, d_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_row_vector, d_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_row_vector, d_vector, p_real);
+  transformed_param_vector = student_t_qf(d_vector, d_row_vector, d_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, d_row_vector, d_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_row_vector, d_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_row_vector, p_real, d_real);
+  transformed_param_vector = student_t_qf(d_vector, d_row_vector, p_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, d_row_vector, p_real, d_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_row_vector, p_real, d_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_row_vector, p_real, p_real);
+  transformed_param_vector = student_t_qf(d_vector, d_row_vector, p_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, d_row_vector, p_real, p_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_row_vector, p_real, p_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_row_vector, p_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(d_vector, d_row_vector, p_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, d_row_vector, p_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_row_vector, p_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_row_vector, p_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(d_vector, d_row_vector, p_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, d_row_vector, p_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_row_vector, p_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_row_vector, p_row_vector, d_real);
+  transformed_param_vector = student_t_qf(d_vector, d_row_vector, p_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, d_row_vector, p_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_row_vector, p_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_row_vector, p_row_vector, p_real);
+  transformed_param_vector = student_t_qf(d_vector, d_row_vector, p_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, d_row_vector, p_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_row_vector, p_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_row_vector, p_vector, d_real);
+  transformed_param_vector = student_t_qf(d_vector, d_row_vector, p_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, d_row_vector, p_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_row_vector, p_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_row_vector, p_vector, p_real);
+  transformed_param_vector = student_t_qf(d_vector, d_row_vector, p_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, d_row_vector, p_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_row_vector, p_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_vector, d_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(d_vector, d_vector, d_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, d_vector, d_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_vector, d_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_vector, d_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(d_vector, d_vector, d_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, d_vector, d_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_vector, d_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_vector, d_row_vector, d_real);
+  transformed_param_vector = student_t_qf(d_vector, d_vector, d_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, d_vector, d_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_vector, d_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_vector, d_row_vector, p_real);
+  transformed_param_vector = student_t_qf(d_vector, d_vector, d_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, d_vector, d_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_vector, d_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_vector, d_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, d_vector, d_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_vector, d_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, d_vector, d_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_vector, p_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(d_vector, d_vector, p_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, d_vector, p_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_vector, p_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_vector, p_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(d_vector, d_vector, p_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, d_vector, p_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_vector, p_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_vector, p_row_vector, d_real);
+  transformed_param_vector = student_t_qf(d_vector, d_vector, p_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, d_vector, p_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_vector, p_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_vector, p_row_vector, p_real);
+  transformed_param_vector = student_t_qf(d_vector, d_vector, p_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, d_vector, p_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_vector, p_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_vector, p_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, d_vector, p_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, d_vector, p_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, d_vector, p_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_real_array_1d, d_real, d_real);
+  transformed_param_vector = student_t_qf(d_vector, p_real_array_1d, d_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, p_real_array_1d, d_real, d_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_real_array_1d, d_real, d_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_real_array_1d, d_real, p_real);
+  transformed_param_vector = student_t_qf(d_vector, p_real_array_1d, d_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, p_real_array_1d, d_real, p_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_real_array_1d, d_real, p_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_real_array_1d, d_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(d_vector, p_real_array_1d, d_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, p_real_array_1d, d_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_real_array_1d, d_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_real_array_1d, d_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(d_vector, p_real_array_1d, d_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, p_real_array_1d, d_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_real_array_1d, d_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_real_array_1d, d_row_vector, d_real);
+  transformed_param_vector = student_t_qf(d_vector, p_real_array_1d, d_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, p_real_array_1d, d_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_real_array_1d, d_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_real_array_1d, d_row_vector, p_real);
+  transformed_param_vector = student_t_qf(d_vector, p_real_array_1d, d_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, p_real_array_1d, d_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_real_array_1d, d_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_real_array_1d, d_vector, d_real);
+  transformed_param_vector = student_t_qf(d_vector, p_real_array_1d, d_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, p_real_array_1d, d_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_real_array_1d, d_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_real_array_1d, d_vector, p_real);
+  transformed_param_vector = student_t_qf(d_vector, p_real_array_1d, d_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, p_real_array_1d, d_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_real_array_1d, d_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_real_array_1d, p_real, d_real);
+  transformed_param_vector = student_t_qf(d_vector, p_real_array_1d, p_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, p_real_array_1d, p_real, d_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_real_array_1d, p_real, d_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_real_array_1d, p_real, p_real);
+  transformed_param_vector = student_t_qf(d_vector, p_real_array_1d, p_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, p_real_array_1d, p_real, p_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_real_array_1d, p_real, p_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_real_array_1d, p_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(d_vector, p_real_array_1d, p_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, p_real_array_1d, p_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_real_array_1d, p_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_real_array_1d, p_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(d_vector, p_real_array_1d, p_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, p_real_array_1d, p_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_real_array_1d, p_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_real_array_1d, p_row_vector, d_real);
+  transformed_param_vector = student_t_qf(d_vector, p_real_array_1d, p_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, p_real_array_1d, p_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_real_array_1d, p_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_real_array_1d, p_row_vector, p_real);
+  transformed_param_vector = student_t_qf(d_vector, p_real_array_1d, p_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, p_real_array_1d, p_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_real_array_1d, p_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_real_array_1d, p_vector, d_real);
+  transformed_param_vector = student_t_qf(d_vector, p_real_array_1d, p_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, p_real_array_1d, p_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_real_array_1d, p_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_real_array_1d, p_vector, p_real);
+  transformed_param_vector = student_t_qf(d_vector, p_real_array_1d, p_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, p_real_array_1d, p_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_real_array_1d, p_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_row_vector, d_real, d_real);
+  transformed_param_vector = student_t_qf(d_vector, p_row_vector, d_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, p_row_vector, d_real, d_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_row_vector, d_real, d_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_row_vector, d_real, p_real);
+  transformed_param_vector = student_t_qf(d_vector, p_row_vector, d_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, p_row_vector, d_real, p_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_row_vector, d_real, p_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_row_vector, d_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(d_vector, p_row_vector, d_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, p_row_vector, d_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_row_vector, d_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_row_vector, d_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(d_vector, p_row_vector, d_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, p_row_vector, d_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_row_vector, d_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_row_vector, d_row_vector, d_real);
+  transformed_param_vector = student_t_qf(d_vector, p_row_vector, d_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, p_row_vector, d_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_row_vector, d_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_row_vector, d_row_vector, p_real);
+  transformed_param_vector = student_t_qf(d_vector, p_row_vector, d_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, p_row_vector, d_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_row_vector, d_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_row_vector, d_vector, d_real);
+  transformed_param_vector = student_t_qf(d_vector, p_row_vector, d_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, p_row_vector, d_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_row_vector, d_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_row_vector, d_vector, p_real);
+  transformed_param_vector = student_t_qf(d_vector, p_row_vector, d_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, p_row_vector, d_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_row_vector, d_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_row_vector, p_real, d_real);
+  transformed_param_vector = student_t_qf(d_vector, p_row_vector, p_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, p_row_vector, p_real, d_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_row_vector, p_real, d_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_row_vector, p_real, p_real);
+  transformed_param_vector = student_t_qf(d_vector, p_row_vector, p_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, p_row_vector, p_real, p_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_row_vector, p_real, p_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_row_vector, p_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(d_vector, p_row_vector, p_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, p_row_vector, p_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_row_vector, p_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_row_vector, p_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(d_vector, p_row_vector, p_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, p_row_vector, p_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_row_vector, p_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_row_vector, p_row_vector, d_real);
+  transformed_param_vector = student_t_qf(d_vector, p_row_vector, p_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, p_row_vector, p_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_row_vector, p_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_row_vector, p_row_vector, p_real);
+  transformed_param_vector = student_t_qf(d_vector, p_row_vector, p_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, p_row_vector, p_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_row_vector, p_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_row_vector, p_vector, d_real);
+  transformed_param_vector = student_t_qf(d_vector, p_row_vector, p_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, p_row_vector, p_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_row_vector, p_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_row_vector, p_vector, p_real);
+  transformed_param_vector = student_t_qf(d_vector, p_row_vector, p_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, p_row_vector, p_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_row_vector, p_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_vector, d_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(d_vector, p_vector, d_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, p_vector, d_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_vector, d_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_vector, d_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(d_vector, p_vector, d_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, p_vector, d_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_vector, d_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_vector, d_row_vector, d_real);
+  transformed_param_vector = student_t_qf(d_vector, p_vector, d_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, p_vector, d_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_vector, d_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_vector, d_row_vector, p_real);
+  transformed_param_vector = student_t_qf(d_vector, p_vector, d_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, p_vector, d_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_vector, d_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_vector, d_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, p_vector, d_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_vector, d_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, p_vector, d_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_vector, p_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(d_vector, p_vector, p_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, p_vector, p_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_vector, p_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_vector, p_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(d_vector, p_vector, p_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, p_vector, p_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_vector, p_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_vector, p_row_vector, d_real);
+  transformed_param_vector = student_t_qf(d_vector, p_vector, p_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, p_vector, p_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_vector, p_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_vector, p_row_vector, p_real);
+  transformed_param_vector = student_t_qf(d_vector, p_vector, p_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, p_vector, p_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_vector, p_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_vector, p_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, p_vector, p_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_vector, p_vector, p_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_vector, p_vector, p_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real, d_real, d_real);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real, d_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real, d_real, d_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real, d_real, d_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real, d_real, p_real);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real, d_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real, d_real, p_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real, d_real, p_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real, d_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real, d_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real, d_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real, d_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real, d_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real, d_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real, d_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real, d_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real, d_row_vector, d_real);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real, d_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real, d_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real, d_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real, d_row_vector, p_real);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real, d_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real, d_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real, d_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real, d_vector, d_real);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real, d_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real, d_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real, d_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real, d_vector, p_real);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real, d_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real, d_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real, d_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real, p_real, d_real);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real, p_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real, p_real, d_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real, p_real, d_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real, p_real, p_real);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real, p_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real, p_real, p_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real, p_real, p_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real, p_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real, p_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real, p_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real, p_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real, p_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real, p_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real, p_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real, p_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real, p_row_vector, d_real);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real, p_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real, p_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real, p_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real, p_row_vector, p_real);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real, p_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real, p_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real, p_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real, p_vector, d_real);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real, p_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real, p_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real, p_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real, p_vector, p_real);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real, p_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real, p_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real, p_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_row_vector, d_real, d_real);
+  transformed_param_vector = student_t_qf(p_row_vector, d_row_vector, d_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, d_row_vector, d_real, d_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_row_vector, d_real, d_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_row_vector, d_real, p_real);
+  transformed_param_vector = student_t_qf(p_row_vector, d_row_vector, d_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, d_row_vector, d_real, p_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_row_vector, d_real, p_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_row_vector, d_row_vector, d_real);
+  transformed_param_vector = student_t_qf(p_row_vector, d_row_vector, d_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, d_row_vector, d_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_row_vector, d_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_row_vector, d_row_vector, p_real);
+  transformed_param_vector = student_t_qf(p_row_vector, d_row_vector, d_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, d_row_vector, d_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_row_vector, d_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_row_vector, d_vector, d_real);
+  transformed_param_vector = student_t_qf(p_row_vector, d_row_vector, d_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, d_row_vector, d_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_row_vector, d_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_row_vector, d_vector, p_real);
+  transformed_param_vector = student_t_qf(p_row_vector, d_row_vector, d_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, d_row_vector, d_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_row_vector, d_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_row_vector, p_real, d_real);
+  transformed_param_vector = student_t_qf(p_row_vector, d_row_vector, p_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, d_row_vector, p_real, d_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_row_vector, p_real, d_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_row_vector, p_real, p_real);
+  transformed_param_vector = student_t_qf(p_row_vector, d_row_vector, p_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, d_row_vector, p_real, p_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_row_vector, p_real, p_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_row_vector, p_row_vector, d_real);
+  transformed_param_vector = student_t_qf(p_row_vector, d_row_vector, p_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, d_row_vector, p_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_row_vector, p_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_row_vector, p_row_vector, p_real);
+  transformed_param_vector = student_t_qf(p_row_vector, d_row_vector, p_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, d_row_vector, p_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_row_vector, p_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_row_vector, p_vector, d_real);
+  transformed_param_vector = student_t_qf(p_row_vector, d_row_vector, p_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, d_row_vector, p_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_row_vector, p_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_row_vector, p_vector, p_real);
+  transformed_param_vector = student_t_qf(p_row_vector, d_row_vector, p_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, d_row_vector, p_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_row_vector, p_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_vector, d_real, d_real);
+  transformed_param_vector = student_t_qf(p_row_vector, d_vector, d_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, d_vector, d_real, d_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_vector, d_real, d_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_vector, d_real, p_real);
+  transformed_param_vector = student_t_qf(p_row_vector, d_vector, d_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, d_vector, d_real, p_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_vector, d_real, p_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_vector, d_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(p_row_vector, d_vector, d_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, d_vector, d_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_vector, d_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_vector, d_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(p_row_vector, d_vector, d_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, d_vector, d_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_vector, d_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_vector, d_row_vector, d_real);
+  transformed_param_vector = student_t_qf(p_row_vector, d_vector, d_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, d_vector, d_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_vector, d_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_vector, d_row_vector, p_real);
+  transformed_param_vector = student_t_qf(p_row_vector, d_vector, d_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, d_vector, d_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_vector, d_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_vector, d_vector, d_real);
+  transformed_param_vector = student_t_qf(p_row_vector, d_vector, d_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, d_vector, d_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_vector, d_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_vector, d_vector, p_real);
+  transformed_param_vector = student_t_qf(p_row_vector, d_vector, d_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, d_vector, d_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_vector, d_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_vector, p_real, d_real);
+  transformed_param_vector = student_t_qf(p_row_vector, d_vector, p_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, d_vector, p_real, d_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_vector, p_real, d_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_vector, p_real, p_real);
+  transformed_param_vector = student_t_qf(p_row_vector, d_vector, p_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, d_vector, p_real, p_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_vector, p_real, p_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_vector, p_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(p_row_vector, d_vector, p_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, d_vector, p_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_vector, p_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_vector, p_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(p_row_vector, d_vector, p_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, d_vector, p_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_vector, p_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_vector, p_row_vector, d_real);
+  transformed_param_vector = student_t_qf(p_row_vector, d_vector, p_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, d_vector, p_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_vector, p_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_vector, p_row_vector, p_real);
+  transformed_param_vector = student_t_qf(p_row_vector, d_vector, p_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, d_vector, p_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_vector, p_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_vector, p_vector, d_real);
+  transformed_param_vector = student_t_qf(p_row_vector, d_vector, p_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, d_vector, p_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_vector, p_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_vector, p_vector, p_real);
+  transformed_param_vector = student_t_qf(p_row_vector, d_vector, p_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, d_vector, p_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_vector, p_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real, d_real, d_real);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real, d_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real, d_real, d_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real, d_real, d_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real, d_real, p_real);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real, d_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real, d_real, p_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real, d_real, p_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real, d_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real, d_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real, d_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real, d_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real, d_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real, d_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real, d_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real, d_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real, d_row_vector, d_real);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real, d_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real, d_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real, d_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real, d_row_vector, p_real);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real, d_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real, d_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real, d_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real, d_vector, d_real);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real, d_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real, d_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real, d_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real, d_vector, p_real);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real, d_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real, d_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real, d_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real, p_real, d_real);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real, p_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real, p_real, d_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real, p_real, d_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real, p_real, p_real);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real, p_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real, p_real, p_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real, p_real, p_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real, p_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real, p_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real, p_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real, p_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real, p_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real, p_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real, p_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real, p_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real, p_row_vector, d_real);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real, p_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real, p_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real, p_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real, p_row_vector, p_real);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real, p_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real, p_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real, p_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real, p_vector, d_real);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real, p_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real, p_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real, p_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real, p_vector, p_real);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real, p_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real, p_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real, p_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_row_vector, d_real, d_real);
+  transformed_param_vector = student_t_qf(p_row_vector, p_row_vector, d_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, p_row_vector, d_real, d_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_row_vector, d_real, d_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_row_vector, d_real, p_real);
+  transformed_param_vector = student_t_qf(p_row_vector, p_row_vector, d_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, p_row_vector, d_real, p_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_row_vector, d_real, p_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_row_vector, d_row_vector, d_real);
+  transformed_param_vector = student_t_qf(p_row_vector, p_row_vector, d_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, p_row_vector, d_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_row_vector, d_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_row_vector, d_row_vector, p_real);
+  transformed_param_vector = student_t_qf(p_row_vector, p_row_vector, d_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, p_row_vector, d_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_row_vector, d_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_row_vector, d_vector, d_real);
+  transformed_param_vector = student_t_qf(p_row_vector, p_row_vector, d_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, p_row_vector, d_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_row_vector, d_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_row_vector, d_vector, p_real);
+  transformed_param_vector = student_t_qf(p_row_vector, p_row_vector, d_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, p_row_vector, d_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_row_vector, d_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_row_vector, p_real, d_real);
+  transformed_param_vector = student_t_qf(p_row_vector, p_row_vector, p_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, p_row_vector, p_real, d_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_row_vector, p_real, d_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_row_vector, p_real, p_real);
+  transformed_param_vector = student_t_qf(p_row_vector, p_row_vector, p_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, p_row_vector, p_real, p_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_row_vector, p_real, p_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_row_vector, p_row_vector, d_real);
+  transformed_param_vector = student_t_qf(p_row_vector, p_row_vector, p_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, p_row_vector, p_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_row_vector, p_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_row_vector, p_row_vector, p_real);
+  transformed_param_vector = student_t_qf(p_row_vector, p_row_vector, p_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, p_row_vector, p_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_row_vector, p_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_row_vector, p_vector, d_real);
+  transformed_param_vector = student_t_qf(p_row_vector, p_row_vector, p_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, p_row_vector, p_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_row_vector, p_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_row_vector, p_vector, p_real);
+  transformed_param_vector = student_t_qf(p_row_vector, p_row_vector, p_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, p_row_vector, p_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_row_vector, p_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_vector, d_real, d_real);
+  transformed_param_vector = student_t_qf(p_row_vector, p_vector, d_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, p_vector, d_real, d_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_vector, d_real, d_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_vector, d_real, p_real);
+  transformed_param_vector = student_t_qf(p_row_vector, p_vector, d_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, p_vector, d_real, p_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_vector, d_real, p_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_vector, d_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(p_row_vector, p_vector, d_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, p_vector, d_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_vector, d_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_vector, d_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(p_row_vector, p_vector, d_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, p_vector, d_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_vector, d_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_vector, d_row_vector, d_real);
+  transformed_param_vector = student_t_qf(p_row_vector, p_vector, d_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, p_vector, d_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_vector, d_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_vector, d_row_vector, p_real);
+  transformed_param_vector = student_t_qf(p_row_vector, p_vector, d_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, p_vector, d_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_vector, d_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_vector, d_vector, d_real);
+  transformed_param_vector = student_t_qf(p_row_vector, p_vector, d_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, p_vector, d_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_vector, d_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_vector, d_vector, p_real);
+  transformed_param_vector = student_t_qf(p_row_vector, p_vector, d_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, p_vector, d_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_vector, d_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_vector, p_real, d_real);
+  transformed_param_vector = student_t_qf(p_row_vector, p_vector, p_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, p_vector, p_real, d_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_vector, p_real, d_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_vector, p_real, p_real);
+  transformed_param_vector = student_t_qf(p_row_vector, p_vector, p_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, p_vector, p_real, p_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_vector, p_real, p_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_vector, p_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(p_row_vector, p_vector, p_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, p_vector, p_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_vector, p_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_vector, p_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(p_row_vector, p_vector, p_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, p_vector, p_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_vector, p_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_vector, p_row_vector, d_real);
+  transformed_param_vector = student_t_qf(p_row_vector, p_vector, p_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, p_vector, p_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_vector, p_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_vector, p_row_vector, p_real);
+  transformed_param_vector = student_t_qf(p_row_vector, p_vector, p_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, p_vector, p_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_vector, p_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_vector, p_vector, d_real);
+  transformed_param_vector = student_t_qf(p_row_vector, p_vector, p_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, p_vector, p_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_vector, p_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_vector, p_vector, p_real);
+  transformed_param_vector = student_t_qf(p_row_vector, p_vector, p_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, p_vector, p_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_vector, p_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_real_array_1d, d_real, d_real);
+  transformed_param_vector = student_t_qf(p_vector, d_real_array_1d, d_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, d_real_array_1d, d_real, d_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_real_array_1d, d_real, d_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_real_array_1d, d_real, p_real);
+  transformed_param_vector = student_t_qf(p_vector, d_real_array_1d, d_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, d_real_array_1d, d_real, p_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_real_array_1d, d_real, p_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_real_array_1d, d_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(p_vector, d_real_array_1d, d_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, d_real_array_1d, d_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_real_array_1d, d_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_real_array_1d, d_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(p_vector, d_real_array_1d, d_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, d_real_array_1d, d_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_real_array_1d, d_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_real_array_1d, d_row_vector, d_real);
+  transformed_param_vector = student_t_qf(p_vector, d_real_array_1d, d_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, d_real_array_1d, d_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_real_array_1d, d_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_real_array_1d, d_row_vector, p_real);
+  transformed_param_vector = student_t_qf(p_vector, d_real_array_1d, d_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, d_real_array_1d, d_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_real_array_1d, d_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_real_array_1d, d_vector, d_real);
+  transformed_param_vector = student_t_qf(p_vector, d_real_array_1d, d_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, d_real_array_1d, d_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_real_array_1d, d_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_real_array_1d, d_vector, p_real);
+  transformed_param_vector = student_t_qf(p_vector, d_real_array_1d, d_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, d_real_array_1d, d_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_real_array_1d, d_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_real_array_1d, p_real, d_real);
+  transformed_param_vector = student_t_qf(p_vector, d_real_array_1d, p_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, d_real_array_1d, p_real, d_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_real_array_1d, p_real, d_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_real_array_1d, p_real, p_real);
+  transformed_param_vector = student_t_qf(p_vector, d_real_array_1d, p_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, d_real_array_1d, p_real, p_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_real_array_1d, p_real, p_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_real_array_1d, p_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(p_vector, d_real_array_1d, p_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, d_real_array_1d, p_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_real_array_1d, p_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_real_array_1d, p_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(p_vector, d_real_array_1d, p_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, d_real_array_1d, p_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_real_array_1d, p_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_real_array_1d, p_row_vector, d_real);
+  transformed_param_vector = student_t_qf(p_vector, d_real_array_1d, p_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, d_real_array_1d, p_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_real_array_1d, p_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_real_array_1d, p_row_vector, p_real);
+  transformed_param_vector = student_t_qf(p_vector, d_real_array_1d, p_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, d_real_array_1d, p_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_real_array_1d, p_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_real_array_1d, p_vector, d_real);
+  transformed_param_vector = student_t_qf(p_vector, d_real_array_1d, p_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, d_real_array_1d, p_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_real_array_1d, p_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_real_array_1d, p_vector, p_real);
+  transformed_param_vector = student_t_qf(p_vector, d_real_array_1d, p_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, d_real_array_1d, p_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_real_array_1d, p_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_row_vector, d_real, d_real);
+  transformed_param_vector = student_t_qf(p_vector, d_row_vector, d_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, d_row_vector, d_real, d_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_row_vector, d_real, d_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_row_vector, d_real, p_real);
+  transformed_param_vector = student_t_qf(p_vector, d_row_vector, d_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, d_row_vector, d_real, p_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_row_vector, d_real, p_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_row_vector, d_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(p_vector, d_row_vector, d_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, d_row_vector, d_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_row_vector, d_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_row_vector, d_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(p_vector, d_row_vector, d_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, d_row_vector, d_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_row_vector, d_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_row_vector, d_row_vector, d_real);
+  transformed_param_vector = student_t_qf(p_vector, d_row_vector, d_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, d_row_vector, d_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_row_vector, d_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_row_vector, d_row_vector, p_real);
+  transformed_param_vector = student_t_qf(p_vector, d_row_vector, d_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, d_row_vector, d_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_row_vector, d_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_row_vector, d_vector, d_real);
+  transformed_param_vector = student_t_qf(p_vector, d_row_vector, d_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, d_row_vector, d_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_row_vector, d_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_row_vector, d_vector, p_real);
+  transformed_param_vector = student_t_qf(p_vector, d_row_vector, d_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, d_row_vector, d_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_row_vector, d_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_row_vector, p_real, d_real);
+  transformed_param_vector = student_t_qf(p_vector, d_row_vector, p_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, d_row_vector, p_real, d_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_row_vector, p_real, d_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_row_vector, p_real, p_real);
+  transformed_param_vector = student_t_qf(p_vector, d_row_vector, p_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, d_row_vector, p_real, p_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_row_vector, p_real, p_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_row_vector, p_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(p_vector, d_row_vector, p_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, d_row_vector, p_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_row_vector, p_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_row_vector, p_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(p_vector, d_row_vector, p_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, d_row_vector, p_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_row_vector, p_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_row_vector, p_row_vector, d_real);
+  transformed_param_vector = student_t_qf(p_vector, d_row_vector, p_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, d_row_vector, p_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_row_vector, p_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_row_vector, p_row_vector, p_real);
+  transformed_param_vector = student_t_qf(p_vector, d_row_vector, p_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, d_row_vector, p_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_row_vector, p_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_row_vector, p_vector, d_real);
+  transformed_param_vector = student_t_qf(p_vector, d_row_vector, p_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, d_row_vector, p_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_row_vector, p_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_row_vector, p_vector, p_real);
+  transformed_param_vector = student_t_qf(p_vector, d_row_vector, p_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, d_row_vector, p_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_row_vector, p_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_vector, d_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(p_vector, d_vector, d_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, d_vector, d_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_vector, d_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_vector, d_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(p_vector, d_vector, d_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, d_vector, d_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_vector, d_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_vector, d_row_vector, d_real);
+  transformed_param_vector = student_t_qf(p_vector, d_vector, d_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, d_vector, d_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_vector, d_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_vector, d_row_vector, p_real);
+  transformed_param_vector = student_t_qf(p_vector, d_vector, d_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, d_vector, d_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_vector, d_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_vector, d_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, d_vector, d_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_vector, d_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, d_vector, d_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_vector, p_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(p_vector, d_vector, p_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, d_vector, p_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_vector, p_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_vector, p_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(p_vector, d_vector, p_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, d_vector, p_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_vector, p_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_vector, p_row_vector, d_real);
+  transformed_param_vector = student_t_qf(p_vector, d_vector, p_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, d_vector, p_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_vector, p_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_vector, p_row_vector, p_real);
+  transformed_param_vector = student_t_qf(p_vector, d_vector, p_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, d_vector, p_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_vector, p_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_vector, p_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, d_vector, p_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, d_vector, p_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, d_vector, p_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_real_array_1d, d_real, d_real);
+  transformed_param_vector = student_t_qf(p_vector, p_real_array_1d, d_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, p_real_array_1d, d_real, d_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_real_array_1d, d_real, d_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_real_array_1d, d_real, p_real);
+  transformed_param_vector = student_t_qf(p_vector, p_real_array_1d, d_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, p_real_array_1d, d_real, p_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_real_array_1d, d_real, p_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_real_array_1d, d_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(p_vector, p_real_array_1d, d_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, p_real_array_1d, d_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_real_array_1d, d_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_real_array_1d, d_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(p_vector, p_real_array_1d, d_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, p_real_array_1d, d_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_real_array_1d, d_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_real_array_1d, d_row_vector, d_real);
+  transformed_param_vector = student_t_qf(p_vector, p_real_array_1d, d_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, p_real_array_1d, d_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_real_array_1d, d_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_real_array_1d, d_row_vector, p_real);
+  transformed_param_vector = student_t_qf(p_vector, p_real_array_1d, d_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, p_real_array_1d, d_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_real_array_1d, d_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_real_array_1d, d_vector, d_real);
+  transformed_param_vector = student_t_qf(p_vector, p_real_array_1d, d_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, p_real_array_1d, d_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_real_array_1d, d_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_real_array_1d, d_vector, p_real);
+  transformed_param_vector = student_t_qf(p_vector, p_real_array_1d, d_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, p_real_array_1d, d_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_real_array_1d, d_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_real_array_1d, p_real, d_real);
+  transformed_param_vector = student_t_qf(p_vector, p_real_array_1d, p_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, p_real_array_1d, p_real, d_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_real_array_1d, p_real, d_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_real_array_1d, p_real, p_real);
+  transformed_param_vector = student_t_qf(p_vector, p_real_array_1d, p_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, p_real_array_1d, p_real, p_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_real_array_1d, p_real, p_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_real_array_1d, p_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(p_vector, p_real_array_1d, p_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, p_real_array_1d, p_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_real_array_1d, p_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_real_array_1d, p_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(p_vector, p_real_array_1d, p_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, p_real_array_1d, p_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_real_array_1d, p_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_real_array_1d, p_row_vector, d_real);
+  transformed_param_vector = student_t_qf(p_vector, p_real_array_1d, p_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, p_real_array_1d, p_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_real_array_1d, p_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_real_array_1d, p_row_vector, p_real);
+  transformed_param_vector = student_t_qf(p_vector, p_real_array_1d, p_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, p_real_array_1d, p_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_real_array_1d, p_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_real_array_1d, p_vector, d_real);
+  transformed_param_vector = student_t_qf(p_vector, p_real_array_1d, p_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, p_real_array_1d, p_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_real_array_1d, p_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_real_array_1d, p_vector, p_real);
+  transformed_param_vector = student_t_qf(p_vector, p_real_array_1d, p_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, p_real_array_1d, p_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_real_array_1d, p_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_row_vector, d_real, d_real);
+  transformed_param_vector = student_t_qf(p_vector, p_row_vector, d_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, p_row_vector, d_real, d_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_row_vector, d_real, d_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_row_vector, d_real, p_real);
+  transformed_param_vector = student_t_qf(p_vector, p_row_vector, d_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, p_row_vector, d_real, p_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_row_vector, d_real, p_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_row_vector, d_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(p_vector, p_row_vector, d_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, p_row_vector, d_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_row_vector, d_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_row_vector, d_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(p_vector, p_row_vector, d_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, p_row_vector, d_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_row_vector, d_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_row_vector, d_row_vector, d_real);
+  transformed_param_vector = student_t_qf(p_vector, p_row_vector, d_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, p_row_vector, d_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_row_vector, d_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_row_vector, d_row_vector, p_real);
+  transformed_param_vector = student_t_qf(p_vector, p_row_vector, d_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, p_row_vector, d_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_row_vector, d_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_row_vector, d_vector, d_real);
+  transformed_param_vector = student_t_qf(p_vector, p_row_vector, d_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, p_row_vector, d_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_row_vector, d_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_row_vector, d_vector, p_real);
+  transformed_param_vector = student_t_qf(p_vector, p_row_vector, d_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, p_row_vector, d_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_row_vector, d_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_row_vector, p_real, d_real);
+  transformed_param_vector = student_t_qf(p_vector, p_row_vector, p_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, p_row_vector, p_real, d_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_row_vector, p_real, d_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_row_vector, p_real, p_real);
+  transformed_param_vector = student_t_qf(p_vector, p_row_vector, p_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, p_row_vector, p_real, p_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_row_vector, p_real, p_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_row_vector, p_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(p_vector, p_row_vector, p_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, p_row_vector, p_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_row_vector, p_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_row_vector, p_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(p_vector, p_row_vector, p_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, p_row_vector, p_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_row_vector, p_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_row_vector, p_row_vector, d_real);
+  transformed_param_vector = student_t_qf(p_vector, p_row_vector, p_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, p_row_vector, p_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_row_vector, p_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_row_vector, p_row_vector, p_real);
+  transformed_param_vector = student_t_qf(p_vector, p_row_vector, p_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, p_row_vector, p_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_row_vector, p_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_row_vector, p_vector, d_real);
+  transformed_param_vector = student_t_qf(p_vector, p_row_vector, p_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, p_row_vector, p_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_row_vector, p_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_row_vector, p_vector, p_real);
+  transformed_param_vector = student_t_qf(p_vector, p_row_vector, p_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, p_row_vector, p_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_row_vector, p_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_vector, d_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(p_vector, p_vector, d_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, p_vector, d_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_vector, d_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_vector, d_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(p_vector, p_vector, d_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, p_vector, d_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_vector, d_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_vector, d_row_vector, d_real);
+  transformed_param_vector = student_t_qf(p_vector, p_vector, d_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, p_vector, d_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_vector, d_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_vector, d_row_vector, p_real);
+  transformed_param_vector = student_t_qf(p_vector, p_vector, d_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, p_vector, d_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_vector, d_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_vector, d_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, p_vector, d_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_vector, d_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, p_vector, d_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_vector, p_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(p_vector, p_vector, p_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, p_vector, p_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_vector, p_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_vector, p_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(p_vector, p_vector, p_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, p_vector, p_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_vector, p_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_vector, p_row_vector, d_real);
+  transformed_param_vector = student_t_qf(p_vector, p_vector, p_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, p_vector, p_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_vector, p_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_vector, p_row_vector, p_real);
+  transformed_param_vector = student_t_qf(p_vector, p_vector, p_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, p_vector, p_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_vector, p_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_vector, p_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, p_vector, p_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_vector, p_vector, p_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_vector, p_vector, p_vector, p_row_vector);
+}
diff --git a/test/integration/good/function-signatures/distributions/univariate/continuous/student_t/student_t_qf_3.stan b/test/integration/good/function-signatures/distributions/univariate/continuous/student_t/student_t_qf_3.stan
new file mode 100644
index 0000000000..687f1eb4bd
--- /dev/null
+++ b/test/integration/good/function-signatures/distributions/univariate/continuous/student_t/student_t_qf_3.stan
@@ -0,0 +1,1465 @@
+ data {
+  int d_int;
+  real d_real;
+  vector[d_int] d_vector;
+  row_vector[d_int] d_row_vector;
+  array[d_int] real d_real_array_1d;
+
+
+}
+
+transformed data {
+  int td_int;
+  real td_real;
+  vector[d_int] td_vector;
+  row_vector[d_int] td_row_vector;
+  array[d_int] real td_real_array_1d;
+
+  td_vector = student_t_qf(d_real_array_1d, d_real, d_real, d_real);
+  td_vector = student_t_qf(d_real_array_1d, d_real, d_real, d_real_array_1d);
+  td_vector = student_t_qf(d_real_array_1d, d_real, d_real, d_row_vector);
+  td_vector = student_t_qf(d_real_array_1d, d_real, d_real, d_vector);
+  td_vector = student_t_qf(d_real_array_1d, d_real, d_real_array_1d, d_real);
+  td_vector = student_t_qf(d_real_array_1d, d_real, d_real_array_1d, d_real_array_1d);
+  td_vector = student_t_qf(d_real_array_1d, d_real, d_real_array_1d, d_row_vector);
+  td_vector = student_t_qf(d_real_array_1d, d_real, d_real_array_1d, d_vector);
+  td_vector = student_t_qf(d_real_array_1d, d_real, d_row_vector, d_real);
+  td_vector = student_t_qf(d_real_array_1d, d_real, d_row_vector, d_real_array_1d);
+  td_vector = student_t_qf(d_real_array_1d, d_real, d_row_vector, d_row_vector);
+  td_vector = student_t_qf(d_real_array_1d, d_real, d_row_vector, d_vector);
+  td_vector = student_t_qf(d_real_array_1d, d_real, d_vector, d_real);
+  td_vector = student_t_qf(d_real_array_1d, d_real, d_vector, d_real_array_1d);
+  td_vector = student_t_qf(d_real_array_1d, d_real, d_vector, d_row_vector);
+  td_vector = student_t_qf(d_real_array_1d, d_real, d_vector, d_vector);
+  td_vector = student_t_qf(d_real_array_1d, d_real_array_1d, d_real, d_real);
+  td_vector = student_t_qf(d_real_array_1d, d_real_array_1d, d_real, d_real_array_1d);
+  td_vector = student_t_qf(d_real_array_1d, d_real_array_1d, d_real, d_row_vector);
+  td_vector = student_t_qf(d_real_array_1d, d_real_array_1d, d_real, d_vector);
+  td_vector = student_t_qf(d_real_array_1d, d_real_array_1d, d_real_array_1d, d_real);
+  td_vector = student_t_qf(d_real_array_1d, d_real_array_1d, d_real_array_1d, d_real_array_1d);
+  td_vector = student_t_qf(d_real_array_1d, d_real_array_1d, d_real_array_1d, d_row_vector);
+  td_vector = student_t_qf(d_real_array_1d, d_real_array_1d, d_real_array_1d, d_vector);
+  td_vector = student_t_qf(d_real_array_1d, d_real_array_1d, d_row_vector, d_real);
+  td_vector = student_t_qf(d_real_array_1d, d_real_array_1d, d_row_vector, d_real_array_1d);
+  td_vector = student_t_qf(d_real_array_1d, d_real_array_1d, d_row_vector, d_row_vector);
+  td_vector = student_t_qf(d_real_array_1d, d_real_array_1d, d_row_vector, d_vector);
+  td_vector = student_t_qf(d_real_array_1d, d_real_array_1d, d_vector, d_real);
+  td_vector = student_t_qf(d_real_array_1d, d_real_array_1d, d_vector, d_real_array_1d);
+  td_vector = student_t_qf(d_real_array_1d, d_real_array_1d, d_vector, d_row_vector);
+  td_vector = student_t_qf(d_real_array_1d, d_real_array_1d, d_vector, d_vector);
+  td_vector = student_t_qf(d_real_array_1d, d_row_vector, d_real, d_real);
+  td_vector = student_t_qf(d_real_array_1d, d_row_vector, d_real, d_real_array_1d);
+  td_vector = student_t_qf(d_real_array_1d, d_row_vector, d_real, d_row_vector);
+  td_vector = student_t_qf(d_real_array_1d, d_row_vector, d_real, d_vector);
+  td_vector = student_t_qf(d_real_array_1d, d_row_vector, d_real_array_1d, d_real);
+  td_vector = student_t_qf(d_real_array_1d, d_row_vector, d_real_array_1d, d_real_array_1d);
+  td_vector = student_t_qf(d_real_array_1d, d_row_vector, d_real_array_1d, d_row_vector);
+  td_vector = student_t_qf(d_real_array_1d, d_row_vector, d_real_array_1d, d_vector);
+  td_vector = student_t_qf(d_real_array_1d, d_row_vector, d_row_vector, d_real);
+  td_vector = student_t_qf(d_real_array_1d, d_row_vector, d_row_vector, d_real_array_1d);
+  td_vector = student_t_qf(d_real_array_1d, d_row_vector, d_row_vector, d_row_vector);
+  td_vector = student_t_qf(d_real_array_1d, d_row_vector, d_row_vector, d_vector);
+  td_vector = student_t_qf(d_real_array_1d, d_row_vector, d_vector, d_real);
+  td_vector = student_t_qf(d_real_array_1d, d_row_vector, d_vector, d_real_array_1d);
+  td_vector = student_t_qf(d_real_array_1d, d_row_vector, d_vector, d_row_vector);
+  td_vector = student_t_qf(d_real_array_1d, d_row_vector, d_vector, d_vector);
+  td_vector = student_t_qf(d_real_array_1d, d_vector, d_real, d_real);
+  td_vector = student_t_qf(d_real_array_1d, d_vector, d_real, d_real_array_1d);
+  td_vector = student_t_qf(d_real_array_1d, d_vector, d_real, d_row_vector);
+  td_vector = student_t_qf(d_real_array_1d, d_vector, d_real, d_vector);
+  td_vector = student_t_qf(d_real_array_1d, d_vector, d_real_array_1d, d_real);
+  td_vector = student_t_qf(d_real_array_1d, d_vector, d_real_array_1d, d_real_array_1d);
+  td_vector = student_t_qf(d_real_array_1d, d_vector, d_real_array_1d, d_row_vector);
+  td_vector = student_t_qf(d_real_array_1d, d_vector, d_real_array_1d, d_vector);
+  td_vector = student_t_qf(d_real_array_1d, d_vector, d_row_vector, d_real);
+  td_vector = student_t_qf(d_real_array_1d, d_vector, d_row_vector, d_real_array_1d);
+  td_vector = student_t_qf(d_real_array_1d, d_vector, d_row_vector, d_row_vector);
+  td_vector = student_t_qf(d_real_array_1d, d_vector, d_row_vector, d_vector);
+  td_vector = student_t_qf(d_real_array_1d, d_vector, d_vector, d_real);
+  td_vector = student_t_qf(d_real_array_1d, d_vector, d_vector, d_real_array_1d);
+  td_vector = student_t_qf(d_real_array_1d, d_vector, d_vector, d_row_vector);
+  td_vector = student_t_qf(d_real_array_1d, d_vector, d_vector, d_vector);
+  td_vector = student_t_qf(d_row_vector, d_real_array_1d, d_real, d_real);
+  td_vector = student_t_qf(d_row_vector, d_real_array_1d, d_real, d_real_array_1d);
+  td_vector = student_t_qf(d_row_vector, d_real_array_1d, d_real, d_row_vector);
+  td_vector = student_t_qf(d_row_vector, d_real_array_1d, d_real, d_vector);
+  td_vector = student_t_qf(d_row_vector, d_real_array_1d, d_real_array_1d, d_real);
+  td_vector = student_t_qf(d_row_vector, d_real_array_1d, d_real_array_1d, d_real_array_1d);
+  td_vector = student_t_qf(d_row_vector, d_real_array_1d, d_real_array_1d, d_row_vector);
+  td_vector = student_t_qf(d_row_vector, d_real_array_1d, d_real_array_1d, d_vector);
+  td_vector = student_t_qf(d_row_vector, d_real_array_1d, d_row_vector, d_real);
+  td_vector = student_t_qf(d_row_vector, d_real_array_1d, d_row_vector, d_real_array_1d);
+  td_vector = student_t_qf(d_row_vector, d_real_array_1d, d_row_vector, d_row_vector);
+  td_vector = student_t_qf(d_row_vector, d_real_array_1d, d_row_vector, d_vector);
+  td_vector = student_t_qf(d_row_vector, d_real_array_1d, d_vector, d_real);
+  td_vector = student_t_qf(d_row_vector, d_real_array_1d, d_vector, d_real_array_1d);
+  td_vector = student_t_qf(d_row_vector, d_real_array_1d, d_vector, d_row_vector);
+  td_vector = student_t_qf(d_row_vector, d_real_array_1d, d_vector, d_vector);
+  td_vector = student_t_qf(d_row_vector, d_row_vector, d_real_array_1d, d_real);
+  td_vector = student_t_qf(d_row_vector, d_row_vector, d_real_array_1d, d_real_array_1d);
+  td_vector = student_t_qf(d_row_vector, d_row_vector, d_real_array_1d, d_row_vector);
+  td_vector = student_t_qf(d_row_vector, d_row_vector, d_real_array_1d, d_vector);
+}
+
+parameters {
+  real p_real;
+  vector[d_int] p_vector;
+  row_vector[d_int] p_row_vector;
+  array[d_int] real p_real_array_1d;
+
+
+}
+
+transformed parameters {
+  real transformed_param_real;
+  vector[d_int] transformed_param_vector;
+  row_vector[d_int] transformed_param_row_vector;
+  array[d_int] real transformed_param_real_array_1d;
+
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real, d_real, d_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real, d_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real, d_real, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real, d_real, d_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real, d_real, p_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real, d_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real, d_real, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real, d_real, p_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real, d_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real, d_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real, d_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real, d_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real, d_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real, d_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real, d_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real, d_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real, d_row_vector, d_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real, d_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real, d_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real, d_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real, d_row_vector, p_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real, d_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real, d_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real, d_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real, d_vector, d_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real, d_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real, d_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real, d_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real, d_vector, p_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real, d_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real, d_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real, d_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real, p_real, d_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real, p_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real, p_real, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real, p_real, d_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real, p_real, p_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real, p_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real, p_real, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real, p_real, p_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real, p_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real, p_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real, p_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real, p_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real, p_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real, p_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real, p_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real, p_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real, p_row_vector, d_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real, p_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real, p_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real, p_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real, p_row_vector, p_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real, p_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real, p_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real, p_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real, p_vector, d_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real, p_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real, p_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real, p_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real, p_vector, p_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real, p_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real, p_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real, p_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real_array_1d, d_real, d_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real_array_1d, d_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real_array_1d, d_real, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real_array_1d, d_real, d_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real_array_1d, d_real, p_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real_array_1d, d_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real_array_1d, d_real, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real_array_1d, d_real, p_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real_array_1d, d_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real_array_1d, d_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real_array_1d, d_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real_array_1d, d_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real_array_1d, d_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real_array_1d, d_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real_array_1d, d_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real_array_1d, d_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real_array_1d, d_row_vector, d_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real_array_1d, d_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real_array_1d, d_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real_array_1d, d_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real_array_1d, d_row_vector, p_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real_array_1d, d_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real_array_1d, d_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real_array_1d, d_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real_array_1d, d_vector, d_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real_array_1d, d_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real_array_1d, d_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real_array_1d, d_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real_array_1d, d_vector, p_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real_array_1d, d_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real_array_1d, d_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real_array_1d, d_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real_array_1d, p_real, d_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real_array_1d, p_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real_array_1d, p_real, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real_array_1d, p_real, d_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real_array_1d, p_real, p_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real_array_1d, p_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real_array_1d, p_real, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real_array_1d, p_real, p_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real_array_1d, p_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real_array_1d, p_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real_array_1d, p_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real_array_1d, p_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real_array_1d, p_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real_array_1d, p_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real_array_1d, p_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real_array_1d, p_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real_array_1d, p_row_vector, d_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real_array_1d, p_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real_array_1d, p_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real_array_1d, p_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real_array_1d, p_row_vector, p_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real_array_1d, p_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real_array_1d, p_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real_array_1d, p_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real_array_1d, p_vector, d_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real_array_1d, p_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real_array_1d, p_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real_array_1d, p_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real_array_1d, p_vector, p_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real_array_1d, p_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real_array_1d, p_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_real_array_1d, p_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_row_vector, d_real, d_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_row_vector, d_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_row_vector, d_real, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_row_vector, d_real, d_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_row_vector, d_real, p_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_row_vector, d_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_row_vector, d_real, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_row_vector, d_real, p_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_row_vector, d_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_row_vector, d_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_row_vector, d_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_row_vector, d_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_row_vector, d_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_row_vector, d_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_row_vector, d_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_row_vector, d_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_row_vector, d_row_vector, d_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_row_vector, d_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_row_vector, d_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_row_vector, d_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_row_vector, d_row_vector, p_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_row_vector, d_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_row_vector, d_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_row_vector, d_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_row_vector, d_vector, d_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_row_vector, d_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_row_vector, d_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_row_vector, d_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_row_vector, d_vector, p_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_row_vector, d_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_row_vector, d_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_row_vector, d_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_row_vector, p_real, d_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_row_vector, p_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_row_vector, p_real, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_row_vector, p_real, d_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_row_vector, p_real, p_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_row_vector, p_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_row_vector, p_real, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_row_vector, p_real, p_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_row_vector, p_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_row_vector, p_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_row_vector, p_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_row_vector, p_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_row_vector, p_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_row_vector, p_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_row_vector, p_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_row_vector, p_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_row_vector, p_row_vector, d_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_row_vector, p_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_row_vector, p_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_row_vector, p_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_row_vector, p_row_vector, p_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_row_vector, p_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_row_vector, p_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_row_vector, p_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_row_vector, p_vector, d_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_row_vector, p_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_row_vector, p_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_row_vector, p_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_row_vector, p_vector, p_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_row_vector, p_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_row_vector, p_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_row_vector, p_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_vector, d_real, d_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_vector, d_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_vector, d_real, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_vector, d_real, d_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_vector, d_real, p_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_vector, d_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_vector, d_real, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_vector, d_real, p_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_vector, d_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_vector, d_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_vector, d_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_vector, d_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_vector, d_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_vector, d_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_vector, d_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_vector, d_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_vector, d_row_vector, d_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_vector, d_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_vector, d_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_vector, d_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_vector, d_row_vector, p_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_vector, d_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_vector, d_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_vector, d_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_vector, d_vector, d_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_vector, d_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_vector, d_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_vector, d_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_vector, d_vector, p_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_vector, d_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_vector, d_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_vector, d_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_vector, p_real, d_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_vector, p_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_vector, p_real, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_vector, p_real, d_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_vector, p_real, p_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_vector, p_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_vector, p_real, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_vector, p_real, p_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_vector, p_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_vector, p_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_vector, p_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_vector, p_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_vector, p_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_vector, p_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_vector, p_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_vector, p_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_vector, p_row_vector, d_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_vector, p_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_vector, p_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_vector, p_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_vector, p_row_vector, p_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_vector, p_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_vector, p_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_vector, p_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_vector, p_vector, d_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_vector, p_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_vector, p_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_vector, p_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_vector, p_vector, p_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_vector, p_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_vector, p_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, d_vector, p_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real, d_real, d_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real, d_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real, d_real, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real, d_real, d_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real, d_real, p_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real, d_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real, d_real, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real, d_real, p_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real, d_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real, d_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real, d_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real, d_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real, d_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real, d_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real, d_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real, d_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real, d_row_vector, d_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real, d_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real, d_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real, d_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real, d_row_vector, p_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real, d_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real, d_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real, d_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real, d_vector, d_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real, d_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real, d_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real, d_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real, d_vector, p_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real, d_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real, d_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real, d_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real, p_real, d_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real, p_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real, p_real, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real, p_real, d_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real, p_real, p_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real, p_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real, p_real, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real, p_real, p_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real, p_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real, p_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real, p_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real, p_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real, p_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real, p_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real, p_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real, p_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real, p_row_vector, d_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real, p_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real, p_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real, p_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real, p_row_vector, p_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real, p_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real, p_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real, p_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real, p_vector, d_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real, p_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real, p_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real, p_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real, p_vector, p_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real, p_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real, p_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real, p_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real_array_1d, d_real, d_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real_array_1d, d_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real_array_1d, d_real, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real_array_1d, d_real, d_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real_array_1d, d_real, p_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real_array_1d, d_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real_array_1d, d_real, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real_array_1d, d_real, p_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real_array_1d, d_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real_array_1d, d_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real_array_1d, d_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real_array_1d, d_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real_array_1d, d_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real_array_1d, d_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real_array_1d, d_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real_array_1d, d_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real_array_1d, d_row_vector, d_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real_array_1d, d_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real_array_1d, d_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real_array_1d, d_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real_array_1d, d_row_vector, p_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real_array_1d, d_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real_array_1d, d_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real_array_1d, d_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real_array_1d, d_vector, d_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real_array_1d, d_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real_array_1d, d_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real_array_1d, d_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real_array_1d, d_vector, p_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real_array_1d, d_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real_array_1d, d_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real_array_1d, d_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real_array_1d, p_real, d_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real_array_1d, p_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real_array_1d, p_real, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real_array_1d, p_real, d_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real_array_1d, p_real, p_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real_array_1d, p_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real_array_1d, p_real, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real_array_1d, p_real, p_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real_array_1d, p_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real_array_1d, p_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real_array_1d, p_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real_array_1d, p_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real_array_1d, p_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real_array_1d, p_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real_array_1d, p_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real_array_1d, p_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real_array_1d, p_row_vector, d_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real_array_1d, p_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real_array_1d, p_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real_array_1d, p_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real_array_1d, p_row_vector, p_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real_array_1d, p_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real_array_1d, p_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real_array_1d, p_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real_array_1d, p_vector, d_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real_array_1d, p_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real_array_1d, p_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real_array_1d, p_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real_array_1d, p_vector, p_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real_array_1d, p_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real_array_1d, p_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_real_array_1d, p_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_row_vector, d_real, d_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_row_vector, d_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_row_vector, d_real, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_row_vector, d_real, d_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_row_vector, d_real, p_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_row_vector, d_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_row_vector, d_real, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_row_vector, d_real, p_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_row_vector, d_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_row_vector, d_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_row_vector, d_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_row_vector, d_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_row_vector, d_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_row_vector, d_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_row_vector, d_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_row_vector, d_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_row_vector, d_row_vector, d_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_row_vector, d_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_row_vector, d_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_row_vector, d_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_row_vector, d_row_vector, p_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_row_vector, d_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_row_vector, d_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_row_vector, d_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_row_vector, d_vector, d_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_row_vector, d_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_row_vector, d_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_row_vector, d_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_row_vector, d_vector, p_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_row_vector, d_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_row_vector, d_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_row_vector, d_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_row_vector, p_real, d_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_row_vector, p_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_row_vector, p_real, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_row_vector, p_real, d_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_row_vector, p_real, p_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_row_vector, p_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_row_vector, p_real, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_row_vector, p_real, p_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_row_vector, p_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_row_vector, p_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_row_vector, p_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_row_vector, p_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_row_vector, p_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_row_vector, p_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_row_vector, p_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_row_vector, p_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_row_vector, p_row_vector, d_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_row_vector, p_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_row_vector, p_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_row_vector, p_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_row_vector, p_row_vector, p_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_row_vector, p_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_row_vector, p_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_row_vector, p_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_row_vector, p_vector, d_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_row_vector, p_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_row_vector, p_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_row_vector, p_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_row_vector, p_vector, p_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_row_vector, p_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_row_vector, p_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_row_vector, p_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_vector, d_real, d_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_vector, d_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_vector, d_real, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_vector, d_real, d_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_vector, d_real, p_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_vector, d_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_vector, d_real, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_vector, d_real, p_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_vector, d_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_vector, d_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_vector, d_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_vector, d_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_vector, d_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_vector, d_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_vector, d_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_vector, d_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_vector, d_row_vector, d_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_vector, d_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_vector, d_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_vector, d_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_vector, d_row_vector, p_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_vector, d_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_vector, d_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_vector, d_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_vector, d_vector, d_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_vector, d_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_vector, d_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_vector, d_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_vector, d_vector, p_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_vector, d_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_vector, d_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_vector, d_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_vector, p_real, d_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_vector, p_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_vector, p_real, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_vector, p_real, d_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_vector, p_real, p_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_vector, p_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_vector, p_real, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_vector, p_real, p_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_vector, p_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_vector, p_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_vector, p_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_vector, p_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_vector, p_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_vector, p_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_vector, p_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_vector, p_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_vector, p_row_vector, d_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_vector, p_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_vector, p_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_vector, p_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_vector, p_row_vector, p_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_vector, p_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_vector, p_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_vector, p_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_vector, p_vector, d_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_vector, p_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_vector, p_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_vector, p_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_vector, p_vector, p_real);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_vector, p_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_vector, p_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_real_array_1d, p_vector, p_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real_array_1d, d_real, d_real);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real_array_1d, d_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real_array_1d, d_real, d_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real_array_1d, d_real, d_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real_array_1d, d_real, p_real);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real_array_1d, d_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real_array_1d, d_real, p_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real_array_1d, d_real, p_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real_array_1d, d_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real_array_1d, d_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real_array_1d, d_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real_array_1d, d_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real_array_1d, d_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real_array_1d, d_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real_array_1d, d_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real_array_1d, d_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real_array_1d, d_row_vector, d_real);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real_array_1d, d_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real_array_1d, d_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real_array_1d, d_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real_array_1d, d_row_vector, p_real);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real_array_1d, d_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real_array_1d, d_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real_array_1d, d_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real_array_1d, d_vector, d_real);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real_array_1d, d_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real_array_1d, d_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real_array_1d, d_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real_array_1d, d_vector, p_real);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real_array_1d, d_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real_array_1d, d_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real_array_1d, d_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real_array_1d, p_real, d_real);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real_array_1d, p_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real_array_1d, p_real, d_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real_array_1d, p_real, d_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real_array_1d, p_real, p_real);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real_array_1d, p_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real_array_1d, p_real, p_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real_array_1d, p_real, p_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real_array_1d, p_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real_array_1d, p_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real_array_1d, p_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real_array_1d, p_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real_array_1d, p_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real_array_1d, p_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real_array_1d, p_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real_array_1d, p_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real_array_1d, p_row_vector, d_real);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real_array_1d, p_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real_array_1d, p_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real_array_1d, p_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real_array_1d, p_row_vector, p_real);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real_array_1d, p_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real_array_1d, p_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real_array_1d, p_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real_array_1d, p_vector, d_real);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real_array_1d, p_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real_array_1d, p_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real_array_1d, p_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real_array_1d, p_vector, p_real);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real_array_1d, p_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real_array_1d, p_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_real_array_1d, p_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_row_vector, d_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(d_row_vector, d_row_vector, d_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, d_row_vector, d_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_row_vector, d_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_row_vector, d_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(d_row_vector, d_row_vector, d_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, d_row_vector, d_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_row_vector, d_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_row_vector, p_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(d_row_vector, d_row_vector, p_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, d_row_vector, p_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_row_vector, p_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_row_vector, p_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(d_row_vector, d_row_vector, p_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, d_row_vector, p_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, d_row_vector, p_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real_array_1d, d_real, d_real);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real_array_1d, d_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real_array_1d, d_real, d_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real_array_1d, d_real, d_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real_array_1d, d_real, p_real);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real_array_1d, d_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real_array_1d, d_real, p_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real_array_1d, d_real, p_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real_array_1d, d_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real_array_1d, d_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real_array_1d, d_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real_array_1d, d_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real_array_1d, d_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real_array_1d, d_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real_array_1d, d_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real_array_1d, d_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real_array_1d, d_row_vector, d_real);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real_array_1d, d_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real_array_1d, d_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real_array_1d, d_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real_array_1d, d_row_vector, p_real);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real_array_1d, d_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real_array_1d, d_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real_array_1d, d_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real_array_1d, d_vector, d_real);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real_array_1d, d_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real_array_1d, d_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real_array_1d, d_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real_array_1d, d_vector, p_real);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real_array_1d, d_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real_array_1d, d_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real_array_1d, d_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real_array_1d, p_real, d_real);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real_array_1d, p_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real_array_1d, p_real, d_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real_array_1d, p_real, d_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real_array_1d, p_real, p_real);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real_array_1d, p_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real_array_1d, p_real, p_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real_array_1d, p_real, p_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real_array_1d, p_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real_array_1d, p_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real_array_1d, p_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real_array_1d, p_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real_array_1d, p_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real_array_1d, p_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real_array_1d, p_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real_array_1d, p_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real_array_1d, p_row_vector, d_real);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real_array_1d, p_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real_array_1d, p_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real_array_1d, p_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real_array_1d, p_row_vector, p_real);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real_array_1d, p_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real_array_1d, p_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real_array_1d, p_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real_array_1d, p_vector, d_real);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real_array_1d, p_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real_array_1d, p_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real_array_1d, p_vector, d_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real_array_1d, p_vector, p_real);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real_array_1d, p_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real_array_1d, p_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_real_array_1d, p_vector, p_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_row_vector, d_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(d_row_vector, p_row_vector, d_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, p_row_vector, d_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_row_vector, d_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_row_vector, d_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(d_row_vector, p_row_vector, d_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, p_row_vector, d_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_row_vector, d_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_row_vector, p_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(d_row_vector, p_row_vector, p_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, p_row_vector, p_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_row_vector, p_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_row_vector, p_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(d_row_vector, p_row_vector, p_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(d_row_vector, p_row_vector, p_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(d_row_vector, p_row_vector, p_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real, d_real, d_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real, d_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real, d_real, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real, d_real, d_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real, d_real, p_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real, d_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real, d_real, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real, d_real, p_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real, d_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real, d_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real, d_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real, d_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real, d_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real, d_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real, d_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real, d_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real, d_row_vector, d_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real, d_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real, d_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real, d_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real, d_row_vector, p_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real, d_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real, d_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real, d_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real, d_vector, d_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real, d_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real, d_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real, d_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real, d_vector, p_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real, d_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real, d_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real, d_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real, p_real, d_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real, p_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real, p_real, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real, p_real, d_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real, p_real, p_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real, p_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real, p_real, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real, p_real, p_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real, p_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real, p_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real, p_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real, p_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real, p_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real, p_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real, p_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real, p_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real, p_row_vector, d_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real, p_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real, p_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real, p_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real, p_row_vector, p_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real, p_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real, p_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real, p_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real, p_vector, d_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real, p_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real, p_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real, p_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real, p_vector, p_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real, p_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real, p_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real, p_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real_array_1d, d_real, d_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real_array_1d, d_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real_array_1d, d_real, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real_array_1d, d_real, d_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real_array_1d, d_real, p_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real_array_1d, d_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real_array_1d, d_real, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real_array_1d, d_real, p_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real_array_1d, d_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real_array_1d, d_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real_array_1d, d_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real_array_1d, d_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real_array_1d, d_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real_array_1d, d_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real_array_1d, d_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real_array_1d, d_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real_array_1d, d_row_vector, d_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real_array_1d, d_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real_array_1d, d_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real_array_1d, d_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real_array_1d, d_row_vector, p_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real_array_1d, d_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real_array_1d, d_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real_array_1d, d_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real_array_1d, d_vector, d_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real_array_1d, d_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real_array_1d, d_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real_array_1d, d_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real_array_1d, d_vector, p_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real_array_1d, d_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real_array_1d, d_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real_array_1d, d_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real_array_1d, p_real, d_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real_array_1d, p_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real_array_1d, p_real, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real_array_1d, p_real, d_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real_array_1d, p_real, p_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real_array_1d, p_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real_array_1d, p_real, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real_array_1d, p_real, p_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real_array_1d, p_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real_array_1d, p_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real_array_1d, p_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real_array_1d, p_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real_array_1d, p_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real_array_1d, p_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real_array_1d, p_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real_array_1d, p_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real_array_1d, p_row_vector, d_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real_array_1d, p_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real_array_1d, p_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real_array_1d, p_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real_array_1d, p_row_vector, p_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real_array_1d, p_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real_array_1d, p_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real_array_1d, p_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real_array_1d, p_vector, d_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real_array_1d, p_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real_array_1d, p_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real_array_1d, p_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real_array_1d, p_vector, p_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real_array_1d, p_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real_array_1d, p_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_real_array_1d, p_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_row_vector, d_real, d_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_row_vector, d_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_row_vector, d_real, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_row_vector, d_real, d_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_row_vector, d_real, p_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_row_vector, d_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_row_vector, d_real, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_row_vector, d_real, p_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_row_vector, d_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_row_vector, d_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_row_vector, d_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_row_vector, d_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_row_vector, d_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_row_vector, d_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_row_vector, d_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_row_vector, d_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_row_vector, d_row_vector, d_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_row_vector, d_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_row_vector, d_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_row_vector, d_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_row_vector, d_row_vector, p_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_row_vector, d_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_row_vector, d_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_row_vector, d_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_row_vector, d_vector, d_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_row_vector, d_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_row_vector, d_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_row_vector, d_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_row_vector, d_vector, p_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_row_vector, d_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_row_vector, d_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_row_vector, d_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_row_vector, p_real, d_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_row_vector, p_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_row_vector, p_real, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_row_vector, p_real, d_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_row_vector, p_real, p_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_row_vector, p_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_row_vector, p_real, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_row_vector, p_real, p_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_row_vector, p_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_row_vector, p_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_row_vector, p_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_row_vector, p_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_row_vector, p_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_row_vector, p_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_row_vector, p_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_row_vector, p_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_row_vector, p_row_vector, d_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_row_vector, p_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_row_vector, p_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_row_vector, p_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_row_vector, p_row_vector, p_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_row_vector, p_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_row_vector, p_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_row_vector, p_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_row_vector, p_vector, d_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_row_vector, p_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_row_vector, p_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_row_vector, p_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_row_vector, p_vector, p_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_row_vector, p_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_row_vector, p_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_row_vector, p_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_vector, d_real, d_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_vector, d_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_vector, d_real, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_vector, d_real, d_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_vector, d_real, p_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_vector, d_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_vector, d_real, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_vector, d_real, p_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_vector, d_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_vector, d_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_vector, d_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_vector, d_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_vector, d_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_vector, d_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_vector, d_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_vector, d_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_vector, d_row_vector, d_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_vector, d_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_vector, d_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_vector, d_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_vector, d_row_vector, p_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_vector, d_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_vector, d_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_vector, d_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_vector, d_vector, d_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_vector, d_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_vector, d_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_vector, d_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_vector, d_vector, p_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_vector, d_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_vector, d_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_vector, d_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_vector, p_real, d_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_vector, p_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_vector, p_real, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_vector, p_real, d_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_vector, p_real, p_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_vector, p_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_vector, p_real, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_vector, p_real, p_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_vector, p_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_vector, p_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_vector, p_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_vector, p_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_vector, p_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_vector, p_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_vector, p_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_vector, p_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_vector, p_row_vector, d_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_vector, p_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_vector, p_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_vector, p_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_vector, p_row_vector, p_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_vector, p_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_vector, p_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_vector, p_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_vector, p_vector, d_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_vector, p_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_vector, p_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_vector, p_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_vector, p_vector, p_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_vector, p_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_vector, p_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, d_vector, p_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real, d_real, d_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real, d_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real, d_real, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real, d_real, d_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real, d_real, p_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real, d_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real, d_real, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real, d_real, p_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real, d_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real, d_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real, d_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real, d_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real, d_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real, d_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real, d_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real, d_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real, d_row_vector, d_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real, d_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real, d_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real, d_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real, d_row_vector, p_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real, d_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real, d_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real, d_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real, d_vector, d_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real, d_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real, d_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real, d_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real, d_vector, p_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real, d_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real, d_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real, d_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real, p_real, d_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real, p_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real, p_real, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real, p_real, d_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real, p_real, p_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real, p_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real, p_real, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real, p_real, p_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real, p_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real, p_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real, p_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real, p_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real, p_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real, p_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real, p_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real, p_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real, p_row_vector, d_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real, p_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real, p_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real, p_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real, p_row_vector, p_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real, p_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real, p_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real, p_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real, p_vector, d_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real, p_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real, p_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real, p_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real, p_vector, p_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real, p_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real, p_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real, p_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real_array_1d, d_real, d_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real_array_1d, d_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real_array_1d, d_real, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real_array_1d, d_real, d_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real_array_1d, d_real, p_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real_array_1d, d_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real_array_1d, d_real, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real_array_1d, d_real, p_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real_array_1d, d_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real_array_1d, d_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real_array_1d, d_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real_array_1d, d_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real_array_1d, d_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real_array_1d, d_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real_array_1d, d_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real_array_1d, d_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real_array_1d, d_row_vector, d_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real_array_1d, d_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real_array_1d, d_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real_array_1d, d_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real_array_1d, d_row_vector, p_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real_array_1d, d_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real_array_1d, d_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real_array_1d, d_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real_array_1d, d_vector, d_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real_array_1d, d_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real_array_1d, d_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real_array_1d, d_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real_array_1d, d_vector, p_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real_array_1d, d_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real_array_1d, d_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real_array_1d, d_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real_array_1d, p_real, d_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real_array_1d, p_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real_array_1d, p_real, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real_array_1d, p_real, d_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real_array_1d, p_real, p_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real_array_1d, p_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real_array_1d, p_real, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real_array_1d, p_real, p_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real_array_1d, p_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real_array_1d, p_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real_array_1d, p_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real_array_1d, p_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real_array_1d, p_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real_array_1d, p_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real_array_1d, p_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real_array_1d, p_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real_array_1d, p_row_vector, d_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real_array_1d, p_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real_array_1d, p_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real_array_1d, p_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real_array_1d, p_row_vector, p_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real_array_1d, p_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real_array_1d, p_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real_array_1d, p_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real_array_1d, p_vector, d_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real_array_1d, p_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real_array_1d, p_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real_array_1d, p_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real_array_1d, p_vector, p_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real_array_1d, p_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real_array_1d, p_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_real_array_1d, p_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_row_vector, d_real, d_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_row_vector, d_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_row_vector, d_real, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_row_vector, d_real, d_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_row_vector, d_real, p_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_row_vector, d_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_row_vector, d_real, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_row_vector, d_real, p_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_row_vector, d_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_row_vector, d_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_row_vector, d_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_row_vector, d_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_row_vector, d_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_row_vector, d_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_row_vector, d_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_row_vector, d_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_row_vector, d_row_vector, d_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_row_vector, d_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_row_vector, d_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_row_vector, d_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_row_vector, d_row_vector, p_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_row_vector, d_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_row_vector, d_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_row_vector, d_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_row_vector, d_vector, d_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_row_vector, d_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_row_vector, d_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_row_vector, d_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_row_vector, d_vector, p_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_row_vector, d_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_row_vector, d_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_row_vector, d_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_row_vector, p_real, d_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_row_vector, p_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_row_vector, p_real, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_row_vector, p_real, d_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_row_vector, p_real, p_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_row_vector, p_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_row_vector, p_real, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_row_vector, p_real, p_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_row_vector, p_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_row_vector, p_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_row_vector, p_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_row_vector, p_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_row_vector, p_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_row_vector, p_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_row_vector, p_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_row_vector, p_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_row_vector, p_row_vector, d_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_row_vector, p_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_row_vector, p_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_row_vector, p_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_row_vector, p_row_vector, p_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_row_vector, p_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_row_vector, p_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_row_vector, p_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_row_vector, p_vector, d_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_row_vector, p_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_row_vector, p_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_row_vector, p_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_row_vector, p_vector, p_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_row_vector, p_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_row_vector, p_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_row_vector, p_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_vector, d_real, d_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_vector, d_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_vector, d_real, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_vector, d_real, d_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_vector, d_real, p_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_vector, d_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_vector, d_real, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_vector, d_real, p_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_vector, d_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_vector, d_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_vector, d_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_vector, d_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_vector, d_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_vector, d_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_vector, d_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_vector, d_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_vector, d_row_vector, d_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_vector, d_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_vector, d_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_vector, d_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_vector, d_row_vector, p_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_vector, d_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_vector, d_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_vector, d_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_vector, d_vector, d_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_vector, d_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_vector, d_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_vector, d_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_vector, d_vector, p_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_vector, d_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_vector, d_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_vector, d_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_vector, p_real, d_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_vector, p_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_vector, p_real, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_vector, p_real, d_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_vector, p_real, p_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_vector, p_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_vector, p_real, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_vector, p_real, p_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_vector, p_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_vector, p_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_vector, p_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_vector, p_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_vector, p_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_vector, p_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_vector, p_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_vector, p_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_vector, p_row_vector, d_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_vector, p_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_vector, p_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_vector, p_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_vector, p_row_vector, p_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_vector, p_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_vector, p_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_vector, p_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_vector, p_vector, d_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_vector, p_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_vector, p_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_vector, p_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_vector, p_vector, p_real);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_vector, p_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_vector, p_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_real_array_1d, p_vector, p_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real_array_1d, d_real, d_real);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real_array_1d, d_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real_array_1d, d_real, d_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real_array_1d, d_real, d_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real_array_1d, d_real, p_real);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real_array_1d, d_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real_array_1d, d_real, p_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real_array_1d, d_real, p_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real_array_1d, d_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real_array_1d, d_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real_array_1d, d_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real_array_1d, d_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real_array_1d, d_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real_array_1d, d_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real_array_1d, d_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real_array_1d, d_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real_array_1d, d_row_vector, d_real);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real_array_1d, d_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real_array_1d, d_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real_array_1d, d_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real_array_1d, d_row_vector, p_real);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real_array_1d, d_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real_array_1d, d_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real_array_1d, d_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real_array_1d, d_vector, d_real);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real_array_1d, d_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real_array_1d, d_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real_array_1d, d_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real_array_1d, d_vector, p_real);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real_array_1d, d_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real_array_1d, d_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real_array_1d, d_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real_array_1d, p_real, d_real);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real_array_1d, p_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real_array_1d, p_real, d_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real_array_1d, p_real, d_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real_array_1d, p_real, p_real);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real_array_1d, p_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real_array_1d, p_real, p_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real_array_1d, p_real, p_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real_array_1d, p_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real_array_1d, p_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real_array_1d, p_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real_array_1d, p_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real_array_1d, p_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real_array_1d, p_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real_array_1d, p_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real_array_1d, p_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real_array_1d, p_row_vector, d_real);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real_array_1d, p_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real_array_1d, p_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real_array_1d, p_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real_array_1d, p_row_vector, p_real);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real_array_1d, p_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real_array_1d, p_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real_array_1d, p_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real_array_1d, p_vector, d_real);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real_array_1d, p_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real_array_1d, p_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real_array_1d, p_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real_array_1d, p_vector, p_real);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real_array_1d, p_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real_array_1d, p_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_real_array_1d, p_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_row_vector, d_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(p_row_vector, d_row_vector, d_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, d_row_vector, d_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_row_vector, d_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_row_vector, d_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(p_row_vector, d_row_vector, d_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, d_row_vector, d_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_row_vector, d_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_row_vector, p_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(p_row_vector, d_row_vector, p_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, d_row_vector, p_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_row_vector, p_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_row_vector, p_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(p_row_vector, d_row_vector, p_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, d_row_vector, p_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, d_row_vector, p_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real_array_1d, d_real, d_real);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real_array_1d, d_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real_array_1d, d_real, d_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real_array_1d, d_real, d_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real_array_1d, d_real, p_real);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real_array_1d, d_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real_array_1d, d_real, p_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real_array_1d, d_real, p_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real_array_1d, d_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real_array_1d, d_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real_array_1d, d_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real_array_1d, d_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real_array_1d, d_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real_array_1d, d_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real_array_1d, d_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real_array_1d, d_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real_array_1d, d_row_vector, d_real);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real_array_1d, d_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real_array_1d, d_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real_array_1d, d_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real_array_1d, d_row_vector, p_real);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real_array_1d, d_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real_array_1d, d_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real_array_1d, d_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real_array_1d, d_vector, d_real);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real_array_1d, d_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real_array_1d, d_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real_array_1d, d_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real_array_1d, d_vector, p_real);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real_array_1d, d_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real_array_1d, d_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real_array_1d, d_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real_array_1d, p_real, d_real);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real_array_1d, p_real, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real_array_1d, p_real, d_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real_array_1d, p_real, d_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real_array_1d, p_real, p_real);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real_array_1d, p_real, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real_array_1d, p_real, p_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real_array_1d, p_real, p_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real_array_1d, p_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real_array_1d, p_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real_array_1d, p_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real_array_1d, p_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real_array_1d, p_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real_array_1d, p_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real_array_1d, p_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real_array_1d, p_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real_array_1d, p_row_vector, d_real);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real_array_1d, p_row_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real_array_1d, p_row_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real_array_1d, p_row_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real_array_1d, p_row_vector, p_real);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real_array_1d, p_row_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real_array_1d, p_row_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real_array_1d, p_row_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real_array_1d, p_vector, d_real);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real_array_1d, p_vector, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real_array_1d, p_vector, d_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real_array_1d, p_vector, d_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real_array_1d, p_vector, p_real);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real_array_1d, p_vector, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real_array_1d, p_vector, p_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_real_array_1d, p_vector, p_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_row_vector, d_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(p_row_vector, p_row_vector, d_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, p_row_vector, d_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_row_vector, d_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_row_vector, d_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(p_row_vector, p_row_vector, d_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, p_row_vector, d_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_row_vector, d_real_array_1d, p_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_row_vector, p_real_array_1d, d_real);
+  transformed_param_vector = student_t_qf(p_row_vector, p_row_vector, p_real_array_1d, d_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, p_row_vector, p_real_array_1d, d_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_row_vector, p_real_array_1d, d_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_row_vector, p_real_array_1d, p_real);
+  transformed_param_vector = student_t_qf(p_row_vector, p_row_vector, p_real_array_1d, p_real_array_1d);
+  transformed_param_vector = student_t_qf(p_row_vector, p_row_vector, p_real_array_1d, p_row_vector);
+  transformed_param_vector = student_t_qf(p_row_vector, p_row_vector, p_real_array_1d, p_vector);
+}
+
+//END
diff --git a/test/integration/signatures/stan_math_signatures.t b/test/integration/signatures/stan_math_signatures.t
index 59b23075bd..afeba14253 100644
--- a/test/integration/signatures/stan_math_signatures.t
+++ b/test/integration/signatures/stan_math_signatures.t
@@ -21050,6 +21050,262 @@ Display all Stan math signatures exposed in the language
   student_t_lpdf(array[] real, array[] real, array[] real, vector) => real
   student_t_lpdf(array[] real, array[] real, array[] real, row_vector) => real
   student_t_lpdf(array[] real, array[] real, array[] real, array[] real) => real
+  student_t_qf(real, real, real, real) => real
+  student_t_qf(real, real, real, vector) => vector
+  student_t_qf(real, real, real, row_vector) => vector
+  student_t_qf(real, real, real, array[] real) => vector
+  student_t_qf(real, real, vector, real) => vector
+  student_t_qf(real, real, vector, vector) => vector
+  student_t_qf(real, real, vector, row_vector) => vector
+  student_t_qf(real, real, vector, array[] real) => vector
+  student_t_qf(real, real, row_vector, real) => vector
+  student_t_qf(real, real, row_vector, vector) => vector
+  student_t_qf(real, real, row_vector, row_vector) => vector
+  student_t_qf(real, real, row_vector, array[] real) => vector
+  student_t_qf(real, real, array[] real, real) => vector
+  student_t_qf(real, real, array[] real, vector) => vector
+  student_t_qf(real, real, array[] real, row_vector) => vector
+  student_t_qf(real, real, array[] real, array[] real) => vector
+  student_t_qf(real, vector, real, real) => vector
+  student_t_qf(real, vector, real, vector) => vector
+  student_t_qf(real, vector, real, row_vector) => vector
+  student_t_qf(real, vector, real, array[] real) => vector
+  student_t_qf(real, vector, vector, real) => vector
+  student_t_qf(real, vector, vector, vector) => vector
+  student_t_qf(real, vector, vector, row_vector) => vector
+  student_t_qf(real, vector, vector, array[] real) => vector
+  student_t_qf(real, vector, row_vector, real) => vector
+  student_t_qf(real, vector, row_vector, vector) => vector
+  student_t_qf(real, vector, row_vector, row_vector) => vector
+  student_t_qf(real, vector, row_vector, array[] real) => vector
+  student_t_qf(real, vector, array[] real, real) => vector
+  student_t_qf(real, vector, array[] real, vector) => vector
+  student_t_qf(real, vector, array[] real, row_vector) => vector
+  student_t_qf(real, vector, array[] real, array[] real) => vector
+  student_t_qf(real, row_vector, real, real) => vector
+  student_t_qf(real, row_vector, real, vector) => vector
+  student_t_qf(real, row_vector, real, row_vector) => vector
+  student_t_qf(real, row_vector, real, array[] real) => vector
+  student_t_qf(real, row_vector, vector, real) => vector
+  student_t_qf(real, row_vector, vector, vector) => vector
+  student_t_qf(real, row_vector, vector, row_vector) => vector
+  student_t_qf(real, row_vector, vector, array[] real) => vector
+  student_t_qf(real, row_vector, row_vector, real) => vector
+  student_t_qf(real, row_vector, row_vector, vector) => vector
+  student_t_qf(real, row_vector, row_vector, row_vector) => vector
+  student_t_qf(real, row_vector, row_vector, array[] real) => vector
+  student_t_qf(real, row_vector, array[] real, real) => vector
+  student_t_qf(real, row_vector, array[] real, vector) => vector
+  student_t_qf(real, row_vector, array[] real, row_vector) => vector
+  student_t_qf(real, row_vector, array[] real, array[] real) => vector
+  student_t_qf(real, array[] real, real, real) => vector
+  student_t_qf(real, array[] real, real, vector) => vector
+  student_t_qf(real, array[] real, real, row_vector) => vector
+  student_t_qf(real, array[] real, real, array[] real) => vector
+  student_t_qf(real, array[] real, vector, real) => vector
+  student_t_qf(real, array[] real, vector, vector) => vector
+  student_t_qf(real, array[] real, vector, row_vector) => vector
+  student_t_qf(real, array[] real, vector, array[] real) => vector
+  student_t_qf(real, array[] real, row_vector, real) => vector
+  student_t_qf(real, array[] real, row_vector, vector) => vector
+  student_t_qf(real, array[] real, row_vector, row_vector) => vector
+  student_t_qf(real, array[] real, row_vector, array[] real) => vector
+  student_t_qf(real, array[] real, array[] real, real) => vector
+  student_t_qf(real, array[] real, array[] real, vector) => vector
+  student_t_qf(real, array[] real, array[] real, row_vector) => vector
+  student_t_qf(real, array[] real, array[] real, array[] real) => vector
+  student_t_qf(vector, real, real, real) => vector
+  student_t_qf(vector, real, real, vector) => vector
+  student_t_qf(vector, real, real, row_vector) => vector
+  student_t_qf(vector, real, real, array[] real) => vector
+  student_t_qf(vector, real, vector, real) => vector
+  student_t_qf(vector, real, vector, vector) => vector
+  student_t_qf(vector, real, vector, row_vector) => vector
+  student_t_qf(vector, real, vector, array[] real) => vector
+  student_t_qf(vector, real, row_vector, real) => vector
+  student_t_qf(vector, real, row_vector, vector) => vector
+  student_t_qf(vector, real, row_vector, row_vector) => vector
+  student_t_qf(vector, real, row_vector, array[] real) => vector
+  student_t_qf(vector, real, array[] real, real) => vector
+  student_t_qf(vector, real, array[] real, vector) => vector
+  student_t_qf(vector, real, array[] real, row_vector) => vector
+  student_t_qf(vector, real, array[] real, array[] real) => vector
+  student_t_qf(vector, vector, real, real) => vector
+  student_t_qf(vector, vector, real, vector) => vector
+  student_t_qf(vector, vector, real, row_vector) => vector
+  student_t_qf(vector, vector, real, array[] real) => vector
+  student_t_qf(vector, vector, vector, real) => vector
+  student_t_qf(vector, vector, vector, vector) => vector
+  student_t_qf(vector, vector, vector, row_vector) => vector
+  student_t_qf(vector, vector, vector, array[] real) => vector
+  student_t_qf(vector, vector, row_vector, real) => vector
+  student_t_qf(vector, vector, row_vector, vector) => vector
+  student_t_qf(vector, vector, row_vector, row_vector) => vector
+  student_t_qf(vector, vector, row_vector, array[] real) => vector
+  student_t_qf(vector, vector, array[] real, real) => vector
+  student_t_qf(vector, vector, array[] real, vector) => vector
+  student_t_qf(vector, vector, array[] real, row_vector) => vector
+  student_t_qf(vector, vector, array[] real, array[] real) => vector
+  student_t_qf(vector, row_vector, real, real) => vector
+  student_t_qf(vector, row_vector, real, vector) => vector
+  student_t_qf(vector, row_vector, real, row_vector) => vector
+  student_t_qf(vector, row_vector, real, array[] real) => vector
+  student_t_qf(vector, row_vector, vector, real) => vector
+  student_t_qf(vector, row_vector, vector, vector) => vector
+  student_t_qf(vector, row_vector, vector, row_vector) => vector
+  student_t_qf(vector, row_vector, vector, array[] real) => vector
+  student_t_qf(vector, row_vector, row_vector, real) => vector
+  student_t_qf(vector, row_vector, row_vector, vector) => vector
+  student_t_qf(vector, row_vector, row_vector, row_vector) => vector
+  student_t_qf(vector, row_vector, row_vector, array[] real) => vector
+  student_t_qf(vector, row_vector, array[] real, real) => vector
+  student_t_qf(vector, row_vector, array[] real, vector) => vector
+  student_t_qf(vector, row_vector, array[] real, row_vector) => vector
+  student_t_qf(vector, row_vector, array[] real, array[] real) => vector
+  student_t_qf(vector, array[] real, real, real) => vector
+  student_t_qf(vector, array[] real, real, vector) => vector
+  student_t_qf(vector, array[] real, real, row_vector) => vector
+  student_t_qf(vector, array[] real, real, array[] real) => vector
+  student_t_qf(vector, array[] real, vector, real) => vector
+  student_t_qf(vector, array[] real, vector, vector) => vector
+  student_t_qf(vector, array[] real, vector, row_vector) => vector
+  student_t_qf(vector, array[] real, vector, array[] real) => vector
+  student_t_qf(vector, array[] real, row_vector, real) => vector
+  student_t_qf(vector, array[] real, row_vector, vector) => vector
+  student_t_qf(vector, array[] real, row_vector, row_vector) => vector
+  student_t_qf(vector, array[] real, row_vector, array[] real) => vector
+  student_t_qf(vector, array[] real, array[] real, real) => vector
+  student_t_qf(vector, array[] real, array[] real, vector) => vector
+  student_t_qf(vector, array[] real, array[] real, row_vector) => vector
+  student_t_qf(vector, array[] real, array[] real, array[] real) => vector
+  student_t_qf(row_vector, real, real, real) => vector
+  student_t_qf(row_vector, real, real, vector) => vector
+  student_t_qf(row_vector, real, real, row_vector) => vector
+  student_t_qf(row_vector, real, real, array[] real) => vector
+  student_t_qf(row_vector, real, vector, real) => vector
+  student_t_qf(row_vector, real, vector, vector) => vector
+  student_t_qf(row_vector, real, vector, row_vector) => vector
+  student_t_qf(row_vector, real, vector, array[] real) => vector
+  student_t_qf(row_vector, real, row_vector, real) => vector
+  student_t_qf(row_vector, real, row_vector, vector) => vector
+  student_t_qf(row_vector, real, row_vector, row_vector) => vector
+  student_t_qf(row_vector, real, row_vector, array[] real) => vector
+  student_t_qf(row_vector, real, array[] real, real) => vector
+  student_t_qf(row_vector, real, array[] real, vector) => vector
+  student_t_qf(row_vector, real, array[] real, row_vector) => vector
+  student_t_qf(row_vector, real, array[] real, array[] real) => vector
+  student_t_qf(row_vector, vector, real, real) => vector
+  student_t_qf(row_vector, vector, real, vector) => vector
+  student_t_qf(row_vector, vector, real, row_vector) => vector
+  student_t_qf(row_vector, vector, real, array[] real) => vector
+  student_t_qf(row_vector, vector, vector, real) => vector
+  student_t_qf(row_vector, vector, vector, vector) => vector
+  student_t_qf(row_vector, vector, vector, row_vector) => vector
+  student_t_qf(row_vector, vector, vector, array[] real) => vector
+  student_t_qf(row_vector, vector, row_vector, real) => vector
+  student_t_qf(row_vector, vector, row_vector, vector) => vector
+  student_t_qf(row_vector, vector, row_vector, row_vector) => vector
+  student_t_qf(row_vector, vector, row_vector, array[] real) => vector
+  student_t_qf(row_vector, vector, array[] real, real) => vector
+  student_t_qf(row_vector, vector, array[] real, vector) => vector
+  student_t_qf(row_vector, vector, array[] real, row_vector) => vector
+  student_t_qf(row_vector, vector, array[] real, array[] real) => vector
+  student_t_qf(row_vector, row_vector, real, real) => vector
+  student_t_qf(row_vector, row_vector, real, vector) => vector
+  student_t_qf(row_vector, row_vector, real, row_vector) => vector
+  student_t_qf(row_vector, row_vector, real, array[] real) => vector
+  student_t_qf(row_vector, row_vector, vector, real) => vector
+  student_t_qf(row_vector, row_vector, vector, vector) => vector
+  student_t_qf(row_vector, row_vector, vector, row_vector) => vector
+  student_t_qf(row_vector, row_vector, vector, array[] real) => vector
+  student_t_qf(row_vector, row_vector, row_vector, real) => vector
+  student_t_qf(row_vector, row_vector, row_vector, vector) => vector
+  student_t_qf(row_vector, row_vector, row_vector, row_vector) => vector
+  student_t_qf(row_vector, row_vector, row_vector, array[] real) => vector
+  student_t_qf(row_vector, row_vector, array[] real, real) => vector
+  student_t_qf(row_vector, row_vector, array[] real, vector) => vector
+  student_t_qf(row_vector, row_vector, array[] real, row_vector) => vector
+  student_t_qf(row_vector, row_vector, array[] real, array[] real) => vector
+  student_t_qf(row_vector, array[] real, real, real) => vector
+  student_t_qf(row_vector, array[] real, real, vector) => vector
+  student_t_qf(row_vector, array[] real, real, row_vector) => vector
+  student_t_qf(row_vector, array[] real, real, array[] real) => vector
+  student_t_qf(row_vector, array[] real, vector, real) => vector
+  student_t_qf(row_vector, array[] real, vector, vector) => vector
+  student_t_qf(row_vector, array[] real, vector, row_vector) => vector
+  student_t_qf(row_vector, array[] real, vector, array[] real) => vector
+  student_t_qf(row_vector, array[] real, row_vector, real) => vector
+  student_t_qf(row_vector, array[] real, row_vector, vector) => vector
+  student_t_qf(row_vector, array[] real, row_vector, row_vector) => vector
+  student_t_qf(row_vector, array[] real, row_vector, array[] real) => vector
+  student_t_qf(row_vector, array[] real, array[] real, real) => vector
+  student_t_qf(row_vector, array[] real, array[] real, vector) => vector
+  student_t_qf(row_vector, array[] real, array[] real, row_vector) => vector
+  student_t_qf(row_vector, array[] real, array[] real, array[] real) => vector
+  student_t_qf(array[] real, real, real, real) => vector
+  student_t_qf(array[] real, real, real, vector) => vector
+  student_t_qf(array[] real, real, real, row_vector) => vector
+  student_t_qf(array[] real, real, real, array[] real) => vector
+  student_t_qf(array[] real, real, vector, real) => vector
+  student_t_qf(array[] real, real, vector, vector) => vector
+  student_t_qf(array[] real, real, vector, row_vector) => vector
+  student_t_qf(array[] real, real, vector, array[] real) => vector
+  student_t_qf(array[] real, real, row_vector, real) => vector
+  student_t_qf(array[] real, real, row_vector, vector) => vector
+  student_t_qf(array[] real, real, row_vector, row_vector) => vector
+  student_t_qf(array[] real, real, row_vector, array[] real) => vector
+  student_t_qf(array[] real, real, array[] real, real) => vector
+  student_t_qf(array[] real, real, array[] real, vector) => vector
+  student_t_qf(array[] real, real, array[] real, row_vector) => vector
+  student_t_qf(array[] real, real, array[] real, array[] real) => vector
+  student_t_qf(array[] real, vector, real, real) => vector
+  student_t_qf(array[] real, vector, real, vector) => vector
+  student_t_qf(array[] real, vector, real, row_vector) => vector
+  student_t_qf(array[] real, vector, real, array[] real) => vector
+  student_t_qf(array[] real, vector, vector, real) => vector
+  student_t_qf(array[] real, vector, vector, vector) => vector
+  student_t_qf(array[] real, vector, vector, row_vector) => vector
+  student_t_qf(array[] real, vector, vector, array[] real) => vector
+  student_t_qf(array[] real, vector, row_vector, real) => vector
+  student_t_qf(array[] real, vector, row_vector, vector) => vector
+  student_t_qf(array[] real, vector, row_vector, row_vector) => vector
+  student_t_qf(array[] real, vector, row_vector, array[] real) => vector
+  student_t_qf(array[] real, vector, array[] real, real) => vector
+  student_t_qf(array[] real, vector, array[] real, vector) => vector
+  student_t_qf(array[] real, vector, array[] real, row_vector) => vector
+  student_t_qf(array[] real, vector, array[] real, array[] real) => vector
+  student_t_qf(array[] real, row_vector, real, real) => vector
+  student_t_qf(array[] real, row_vector, real, vector) => vector
+  student_t_qf(array[] real, row_vector, real, row_vector) => vector
+  student_t_qf(array[] real, row_vector, real, array[] real) => vector
+  student_t_qf(array[] real, row_vector, vector, real) => vector
+  student_t_qf(array[] real, row_vector, vector, vector) => vector
+  student_t_qf(array[] real, row_vector, vector, row_vector) => vector
+  student_t_qf(array[] real, row_vector, vector, array[] real) => vector
+  student_t_qf(array[] real, row_vector, row_vector, real) => vector
+  student_t_qf(array[] real, row_vector, row_vector, vector) => vector
+  student_t_qf(array[] real, row_vector, row_vector, row_vector) => vector
+  student_t_qf(array[] real, row_vector, row_vector, array[] real) => vector
+  student_t_qf(array[] real, row_vector, array[] real, real) => vector
+  student_t_qf(array[] real, row_vector, array[] real, vector) => vector
+  student_t_qf(array[] real, row_vector, array[] real, row_vector) => vector
+  student_t_qf(array[] real, row_vector, array[] real, array[] real) => vector
+  student_t_qf(array[] real, array[] real, real, real) => vector
+  student_t_qf(array[] real, array[] real, real, vector) => vector
+  student_t_qf(array[] real, array[] real, real, row_vector) => vector
+  student_t_qf(array[] real, array[] real, real, array[] real) => vector
+  student_t_qf(array[] real, array[] real, vector, real) => vector
+  student_t_qf(array[] real, array[] real, vector, vector) => vector
+  student_t_qf(array[] real, array[] real, vector, row_vector) => vector
+  student_t_qf(array[] real, array[] real, vector, array[] real) => vector
+  student_t_qf(array[] real, array[] real, row_vector, real) => vector
+  student_t_qf(array[] real, array[] real, row_vector, vector) => vector
+  student_t_qf(array[] real, array[] real, row_vector, row_vector) => vector
+  student_t_qf(array[] real, array[] real, row_vector, array[] real) => vector
+  student_t_qf(array[] real, array[] real, array[] real, real) => vector
+  student_t_qf(array[] real, array[] real, array[] real, vector) => vector
+  student_t_qf(array[] real, array[] real, array[] real, row_vector) => vector
+  student_t_qf(array[] real, array[] real, array[] real, array[] real) => vector
   student_t_rng(int, int, int) => real
   student_t_rng(int, int, real) => real
   student_t_rng(int, int, vector) => array[] real