比较具有替代排序的自定义类型的std::元组(或std::对).是否可以插入自定义的小于/比较函数

Comparing std::tuple (or std::pair) of custom types who has alternative orderings. Is it possible to plug-in a custom less-than / comparison function?

本文关键字:比较 std 自定义 小于 是否 函数 插入 元组 排序 类型      更新时间:2023-10-16

问题

我有一个自定义类型A,它具有自然排序(具有operator<)和多个可选排序(区分大小写、不区分大小写等)。现在我有了一个由(一个或多个)A组成的std::pair(或std::tuple)。以下是我想要比较的类型的一些示例:std::pair<A, int>std::pair<int, A>std::tuple<A, int, int>std::tuple<int, A, int>。如何使用默认的逐元素比较实现来比较std::pair(或std::tuple),插入我的A比较函数?

守则

以下代码无法编译:

#include <utility>      // std::pair
#include <tuple>        // std::tuple
#include <iostream>     // std::cout, std::endl
struct A
{
    A(char v) : value(v) {}
    char value;
};
// LOCATION-1 (explained in the text below)
int main()
{
    std::cout
        << "Testing std::pair of primitive types: "
        << (std::pair<char, int>('A', 1)
                <
            std::pair<char, int>('a', 0))
        << std::endl;
    std::cout
        << "Testing std::tuple of primitive types: "
        << (std::tuple<char, int, double>('A', 1, 1.0)
                <
            std::tuple<char, int, double>('a', 0, 0.0))
        << std::endl;
    // This doesn't compile:
    std::cout
        << "Testing std::pair of custom types: "
        << (std::pair<A, int>('A', 1)
                <
            std::pair<A, int>('a', 0))
        << std::endl;
    return 0;
}

这是因为operator<不是为struct A定义的。将其添加到上面的LOCATION-1中可以解决问题:

bool operator<(A const& lhs, A const& rhs)
{
    return lhs.value < rhs.value;
}

现在,我们有了struct A:的另一种订购方式

bool case_insensitive_less_than(A const& lhs, A const& rhs)
{
    char const lhs_value_case_insensitive
        = ('a' <= lhs.value && lhs.value <= 'z'
            ? (lhs.value + 0x20)
            : lhs.value);
    char const rhs_value_case_insensitive
        = ('a' <= rhs.value && rhs.value <= 'z'
            ? (rhs.value + 0x20)
            : rhs.value);
    return lhs_value_case_insensitive < rhs_value_case_insensitive;
}

假设我们想保留struct A(区分大小写的)的原始operator<,我们如何将std::pair<A, int>与这种替代排序进行比较?

我知道为std::pair<A, int>添加operator<的专用版本可以解决问题:

bool operator<(std::pair<A, int> const& lhs, std::pair<A, int> const& rhs)
{
    return (case_insensitive_less_than(lhs.first, rhs.first)
        ? true
        : case_insensitive_less_than(rhs.first, lhs.first)
        ? false
        : (lhs.second < rhs.second));
}

然而,我认为这是一个次优的解决方案。

首先,对于std::pair,重新实现元素比较很容易,但对于std::tuple,它可能很复杂(处理可变模板)并且容易出错。

其次,我很难相信这是解决问题的最佳实践方法:假设我们必须为以下每个类定义operator<的专用版本:std::tuple<A, int, int>std::tuple<int, A, int>std::tuple<int, int, A>std::tuple<A, A, int>。。。(这甚至不是一种实用的方法!)

对于std::tuple,重新使用写得很好的内置operator<,对于struct A,插入我的less-than将是我想要的。有可能吗?提前感谢!

简单的方法是手动编写compare( tup, tup, f ),使用f对元组中的元素进行词法比较。但这很无聊。

// This type wraps a reference of type X&&
// it then overrides == and < with L and E respectively
template<class X, class L, class E>
struct reorder_ref {
  using ref = reorder_ref;
  X&& x;
  friend bool operator<(ref lhs, ref rhs) {
    return L{}((X&&) lhs.x, (X&&) rhs.x);
  }
  friend bool operator==(ref lhs, ref rhs) {
    return E{}((X&&) lhs.x, (X&&) rhs.x);
  }
  // other comparison ops based off `==` and `<` go here
  friend bool operator!=(ref lhs, ref rhs){return !(lhs==rhs);}
  friend bool operator>(ref lhs, ref rhs){return rhs<lhs;}
  friend bool operator<=(ref lhs, ref rhs){return !(lhs>rhs);}
  friend bool operator>=(ref lhs, ref rhs){return !(lhs<rhs);}
  reorder_ref(X&& x_) : x((X&&) x_) {}
  reorder_ref(reorder_ref const&) = default;
};

以上是一个改变我们订购方式的参考。

// a type tag, to pass a type to a function:
template<class X>class tag{using type=X;};
// This type takes a less than and equals stateless functors
// and takes as input a tuple, and builds a tuple of reorder_refs
// basically it uses L and E to compare the elements, but otherwise
// uses std::tuple's lexographic comparison code.
template<class L, class E>
struct reorder_tuple {
  // indexes trick:
  template<class Tuple, class R, size_t... Is>
  R operator()(tag<R>, std::index_sequence<Is...>, Tuple const& in) const {
    // use indexes trick to do conversion
    return R( std::get<Is>(in)... );
  }
  // forward to the indexes trick above:
  template<class... Ts, class R=std::tuple<reorder_ref<Ts const&, L, E>...>>
  R operator()(std::tuple<Ts...> const& in) const {
    return (*this)(tag<R>{}, std::index_sequence_for<Ts...>{}, in);
  }
  // pair filter:
  template<class... Ts, class R=std::pair<reorder_ref<Ts const&, L, E>...>>
  R operator()(std::pair<Ts...> const& in) const {
    return (*this)(tag<R>{}, std::index_sequence_for<Ts...>{}, in);
  }
};

上述无状态函数对象采用了一些新的less and equals操作,并将任何元组映射到reorder_ref<const T, ...>的元组,从而将排序分别更改为遵循LE

下一个类型与std::less<void>std::less<T>所做的类似——它接受一个特定于类型的无状态排序函数模板对象,并使其成为一个类型通用无状态排序功能对象:

// This takes a type-specific ordering stateless function type, and turns
// it into a generic ordering function type
template<template<class...> class order>
struct generic_order {
  template<class T>
  bool operator()(T const& lhs, T const& rhs) const {
    return order<T>{}(lhs, rhs);
  }
};

因此,如果我们有一个template<class T>class Z,使得Z<T>Ts上的一个序,那么上面给出了任何事物的通用序。

下一个是我的最爱。它采用T型,并根据映射到U型来排序。这非常有用:

// Suppose there is a type X for which we have an ordering L
// and we have a map O from Y->X.  This builds an ordering on
// (Y lhs, Y rhs) -> L( O(lhs), O(rhs) ).  We "order" our type
// "by" the projection of our type into another type.  For
// a concrete example, imagine we have an "id" structure with a name
// and age field.  We can write a function "return s.age;" to
// map our id type into ints (age).  If we order by that map,
// then we order the "id" by age.
template<class O, class L = std::less<>>
struct order_by {
  template<class T, class U>
  bool operator()(T&& t, U&& u) const {
    return L{}( O{}((T&&) t), O{}((U&&) u) );
  }
};

现在我们把它粘在一起:

// Here is where we build a special order.  Suppose we have a template Z<X> that returns
// a stateless order on type X.  This takes that ordering, and builds an ordering on
// tuples based on it, using the above code as glue:
template<template<class...>class Less, template<class...>class Equals=std::equal_to>
using tuple_order = order_by< reorder_tuple< generic_order<Less>, generic_order<Equals> > >;

tuple_order为我们完成了大部分工作。我们只需要为它提供一个按元素排序的template无状态函数对象。tuple_order将在此基础上生成一个元组排序函子

// Here is a concrete use of the above
// my_less is a sorting functiont that sorts everything else the usual way
// but it sorts Foo's backwards
// Here is a toy type.  It wraps an int.  By default, it sorts in the usual way
struct Foo {
  int value = 0;
  // usual sort:
  friend bool operator<( Foo lhs, Foo rhs ) {
    return lhs.value<rhs.value;
  }
  friend bool operator==( Foo lhs, Foo rhs ) {
    return lhs.value==rhs.value;
  }
};
template<class T>
struct my_less : std::less<T> {};
// backwards sort:
template<>
struct my_less<Foo> {
  bool operator()(Foo const& lhs, Foo const& rhs) const {
    return rhs.value < lhs.value;
  }
};
using special_order = tuple_order< my_less >;

鲍勃是你的叔叔(活生生的例子)。

special_order可以传递给std::mapstd::set,它将对my_less所遇到的任何元组或对进行排序,以取代元素的默认排序。