1 #ifndef STAN_MATH_REV_FUN_DIAG_POST_MULTIPLY_HPP
2 #define STAN_MATH_REV_FUN_DIAG_POST_MULTIPLY_HPP
3 
4 #include <stan/math/prim/fun/Eigen.hpp>
5 #include <stan/math/prim/err.hpp>
6 #include <stan/math/rev/core.hpp>
7 
8 namespace stan {
9 namespace math {
10 
11 /**
12  * Return the product of the matrix and a diagonal matrix formed from the vector
13  * or row_vector.
14  *
15  * @tparam T1 type of the matrix
16  * @tparam T2 type of the vector/row_vector
17  * @param m1 input matrix
18  * @param m2 input vector/row_vector
19  *
20  * @return product of the matrix and the diagonal matrix formed from the
21  * vector or row_vector.
22  */
23 template <typename T1, typename T2, require_matrix_t<T1>* = nullptr,
24           require_vector_t<T2>* = nullptr,
25           require_any_st_var<T1, T2>* = nullptr>
diag_post_multiply(const T1 & m1,const T2 & m2)26 auto diag_post_multiply(const T1& m1, const T2& m2) {
27   check_size_match("diag_post_multiply", "m2.size()", m2.size(), "m1.cols()",
28                    m1.cols());
29   using inner_ret_type = decltype(value_of(m1) * value_of(m2).asDiagonal());
30   using ret_type = return_var_matrix_t<inner_ret_type, T1, T2>;
31 
32   if (!is_constant<T1>::value && !is_constant<T2>::value) {
33     arena_t<promote_scalar_t<var, T1>> arena_m1 = m1;
34     arena_t<promote_scalar_t<var, T2>> arena_m2 = m2;
35     arena_t<ret_type> ret(arena_m1.val() * arena_m2.val().asDiagonal());
36     reverse_pass_callback([ret, arena_m1, arena_m2]() mutable {
37       arena_m2.adj() += arena_m1.val().cwiseProduct(ret.adj()).colwise().sum();
38       arena_m1.adj() += ret.adj() * arena_m2.val().asDiagonal();
39     });
40     return ret_type(ret);
41   } else if (!is_constant<T1>::value) {
42     arena_t<promote_scalar_t<var, T1>> arena_m1 = m1;
43     arena_t<promote_scalar_t<double, T2>> arena_m2 = value_of(m2);
44     arena_t<ret_type> ret(arena_m1.val() * arena_m2.asDiagonal());
45     reverse_pass_callback([ret, arena_m1, arena_m2]() mutable {
46       arena_m1.adj() += ret.adj() * arena_m2.val().asDiagonal();
47     });
48     return ret_type(ret);
49   } else if (!is_constant<T2>::value) {
50     arena_t<promote_scalar_t<double, T1>> arena_m1 = value_of(m1);
51     arena_t<promote_scalar_t<var, T2>> arena_m2 = m2;
52     arena_t<ret_type> ret(arena_m1 * arena_m2.val().asDiagonal());
53     reverse_pass_callback([ret, arena_m1, arena_m2]() mutable {
54       arena_m2.adj() += arena_m1.val().cwiseProduct(ret.adj()).colwise().sum();
55     });
56     return ret_type(ret);
57   }
58 }
59 
60 }  // namespace math
61 }  // namespace stan
62 
63 #endif
64