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1  // Copyright (C) 2016-2018 T. Zachary Laine
2  //
3  // Distributed under the Boost Software License, Version 1.0. (See
4  // accompanying file LICENSE_1_0.txt or copy at
5  // http://www.boost.org/LICENSE_1_0.txt)
6  //[ calc3
7  #include <boost/yap/expression.hpp>
8  
9  #include <boost/hana/maximum.hpp>
10  
11  #include <iostream>
12  
13  
14  // Look! A transform!  This one transforms the expression tree into the arity
15  // of the expression, based on its placeholders.
16  //[ calc3_get_arity_xform
17  struct get_arity
18  {
19      // Base case 1: Match a placeholder terminal, and return its arity as the
20      // result.
21      template <long long I>
operator ()get_arity22      boost::hana::llong<I> operator() (boost::yap::expr_tag<boost::yap::expr_kind::terminal>,
23                                        boost::yap::placeholder<I>)
24      { return boost::hana::llong_c<I>; }
25  
26      // Base case 2: Match any other terminal.  Return 0; non-placeholders do
27      // not contribute to arity.
28      template <typename T>
operator ()get_arity29      auto operator() (boost::yap::expr_tag<boost::yap::expr_kind::terminal>, T &&)
30      {
31          using namespace boost::hana::literals;
32          return 0_c;
33      }
34  
35      // Recursive case: Match any expression not covered above, and return the
36      // maximum of its children's arities.
37      template <boost::yap::expr_kind Kind, typename... Arg>
operator ()get_arity38      auto operator() (boost::yap::expr_tag<Kind>, Arg &&... arg)
39      {
40          return boost::hana::maximum(
41              boost::hana::make_tuple(
42                  boost::yap::transform(
43                      boost::yap::as_expr(std::forward<Arg>(arg)),
44                      get_arity{}
45                  )...
46              )
47          );
48      }
49  };
50  //]
51  
main()52  int main ()
53  {
54      using namespace boost::yap::literals;
55  
56      // These lambdas wrap our expressions as callables, and allow us to check
57      // the arity of each as we call it.
58  
59      auto expr_1 = 1_p + 2.0;
60  
61      auto expr_1_fn = [expr_1](auto &&... args) {
62          auto const arity = boost::yap::transform(expr_1, get_arity{});
63          static_assert(arity.value == sizeof...(args), "Called with wrong number of args.");
64          return evaluate(expr_1, args...);
65      };
66  
67      auto expr_2 = 1_p * 2_p;
68  
69      auto expr_2_fn = [expr_2](auto &&... args) {
70          auto const arity = boost::yap::transform(expr_2, get_arity{});
71          static_assert(arity.value == sizeof...(args), "Called with wrong number of args.");
72          return evaluate(expr_2, args...);
73      };
74  
75      auto expr_3 = (1_p - 2_p) / 2_p;
76  
77      auto expr_3_fn = [expr_3](auto &&... args) {
78          auto const arity = boost::yap::transform(expr_3, get_arity{});
79          static_assert(arity.value == sizeof...(args), "Called with wrong number of args.");
80          return evaluate(expr_3, args...);
81      };
82  
83      // Displays "5"
84      std::cout << expr_1_fn(3.0) << std::endl;
85  
86      // Displays "6"
87      std::cout << expr_2_fn(3.0, 2.0) << std::endl;
88  
89      // Displays "0.5"
90      std::cout << expr_3_fn(3.0, 2.0) << std::endl;
91  
92      // Static-asserts with "Called with wrong number of args."
93      //std::cout << expr_3_fn(3.0) << std::endl;
94  
95      // Static-asserts with "Called with wrong number of args."
96      //std::cout << expr_3_fn(3.0, 2.0, 1.0) << std::endl;
97  
98      return 0;
99  }
100  //]
101