stl_function.h

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// Functor implementations -*- C++ -*-

// Copyright (C) 2001, 2002, 2004 Free Software Foundation, Inc.
//
// This file is part of the GNU ISO C++ Library.  This library is free
// software; you can redistribute it and/or modify it under the
// terms of the GNU General Public License as published by the
// Free Software Foundation; either version 2, or (at your option)
// any later version.

// This library is distributed in the hope that it will be useful,
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// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
// GNU General Public License for more details.

// You should have received a copy of the GNU General Public License along
// with this library; see the file COPYING.  If not, write to the Free
// Software Foundation, 59 Temple Place - Suite 330, Boston, MA 02111-1307,
// USA.

// As a special exception, you may use this file as part of a free software
// library without restriction.  Specifically, if other files instantiate
// templates or use macros or inline functions from this file, or you compile
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// file does not by itself cause the resulting executable to be covered by
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/*
 *
 * Copyright (c) 1994
 * Hewlett-Packard Company
 *
 * Permission to use, copy, modify, distribute and sell this software
 * and its documentation for any purpose is hereby granted without fee,
 * provided that the above copyright notice appear in all copies and
 * that both that copyright notice and this permission notice appear
 * in supporting documentation.  Hewlett-Packard Company makes no
 * representations about the suitability of this software for any
 * purpose.  It is provided "as is" without express or implied warranty.
 *
 *
 * Copyright (c) 1996-1998
 * Silicon Graphics Computer Systems, Inc.
 *
 * Permission to use, copy, modify, distribute and sell this software
 * and its documentation for any purpose is hereby granted without fee,
 * provided that the above copyright notice appear in all copies and
 * that both that copyright notice and this permission notice appear
 * in supporting documentation.  Silicon Graphics makes no
 * representations about the suitability of this software for any
 * purpose.  It is provided "as is" without express or implied warranty.
 */

/** @file stl_function.h
 *  This is an internal header file, included by other library headers.
 *  You should not attempt to use it directly.
 */

#ifndef _FUNCTION_H
#define _FUNCTION_H 1

namespace std
{
  // 20.3.1 base classes
  /** @defgroup s20_3_1_base Functor Base Classes
   *  Function objects, or @e functors, are objects with an @c operator()
   *  defined and accessible.  They can be passed as arguments to algorithm
   *  templates and used in place of a function pointer.  Not only is the
   *  resulting expressiveness of the library increased, but the generated
   *  code can be more efficient than what you might write by hand.  When we
   *  refer to "functors," then, generally we include function pointers in
   *  the description as well.
   *
   *  Often, functors are only created as temporaries passed to algorithm
   *  calls, rather than being created as named variables.
   *
   *  Two examples taken from the standard itself follow.  To perform a
   *  by-element addition of two vectors @c a and @c b containing @c double,
   *  and put the result in @c a, use
   *  \code
   *  transform (a.begin(), a.end(), b.begin(), a.begin(), plus<double>());
   *  \endcode
   *  To negate every element in @c a, use
   *  \code
   *  transform(a.begin(), a.end(), a.begin(), negate<double>());
   *  \endcode
   *  The addition and negation functions will be inlined directly.
   *
   *  The standard functiors are derived from structs named @c unary_function
   *  and @c binary_function.  These two classes contain nothing but typedefs,
   *  to aid in generic (template) programming.  If you write your own
   *  functors, you might consider doing the same.
   *
   *  @{
   */
  /**
   *  This is one of the @link s20_3_1_base functor base classes@endlink.
   */
  template <class _Arg, class _Result>
    struct unary_function
    {
      typedef _Arg argument_type;   ///< @c argument_type is the type of the
                                    ///     argument (no surprises here)

      typedef _Result result_type;  ///< @c result_type is the return type
    };

  /**
   *  This is one of the @link s20_3_1_base functor base classes@endlink.
   */
  template <class _Arg1, class _Arg2, class _Result>
    struct binary_function
    {
      typedef _Arg1 first_argument_type;   ///< the type of the first argument
                                           ///  (no surprises here)

      typedef _Arg2 second_argument_type;  ///< the type of the second argument
      typedef _Result result_type;         ///< type of the return type
    };
  /** @}  */

  // 20.3.2 arithmetic
  /** @defgroup s20_3_2_arithmetic Arithmetic Classes
   *  Because basic math often needs to be done during an algorithm, the library
   *  provides functors for those operations.  See the documentation for
   *  @link s20_3_1_base the base classes@endlink for examples of their use.
   *
   *  @{
   */
  /// One of the @link s20_3_2_arithmetic math functors@endlink.
  template <class _Tp>
    struct plus : public binary_function<_Tp, _Tp, _Tp>
    {
      _Tp
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x + __y; }
    };

  /// One of the @link s20_3_2_arithmetic math functors@endlink.
  template <class _Tp>
    struct minus : public binary_function<_Tp, _Tp, _Tp>
    {
      _Tp
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x - __y; }
    };

  /// One of the @link s20_3_2_arithmetic math functors@endlink.
  template <class _Tp>
    struct multiplies : public binary_function<_Tp, _Tp, _Tp>
    {
      _Tp
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x * __y; }
    };

  /// One of the @link s20_3_2_arithmetic math functors@endlink.
  template <class _Tp>
    struct divides : public binary_function<_Tp, _Tp, _Tp>
    {
      _Tp
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x / __y; }
    };

  /// One of the @link s20_3_2_arithmetic math functors@endlink.
  template <class _Tp>
    struct modulus : public binary_function<_Tp, _Tp, _Tp>
    {
      _Tp
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x % __y; }
    };

  /// One of the @link s20_3_2_arithmetic math functors@endlink.
  template <class _Tp>
    struct negate : public unary_function<_Tp, _Tp>
    {
      _Tp
      operator()(const _Tp& __x) const
      { return -__x; }
    };
  /** @}  */

  // 20.3.3 comparisons
  /** @defgroup s20_3_3_comparisons Comparison Classes
   *  The library provides six wrapper functors for all the basic comparisons
   *  in C++, like @c <.
   *
   *  @{
   */
  /// One of the @link s20_3_3_comparisons comparison functors@endlink.
  template <class _Tp>
    struct equal_to : public binary_function<_Tp, _Tp, bool>
    {
      bool
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x == __y; }
    };

  /// One of the @link s20_3_3_comparisons comparison functors@endlink.
  template <class _Tp>
    struct not_equal_to : public binary_function<_Tp, _Tp, bool>
    {
      bool
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x != __y; }
    };

  /// One of the @link s20_3_3_comparisons comparison functors@endlink.
  template <class _Tp>
    struct greater : public binary_function<_Tp, _Tp, bool>
    {
      bool
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x > __y; }
    };

  /// One of the @link s20_3_3_comparisons comparison functors@endlink.
  template <class _Tp>
    struct less : public binary_function<_Tp, _Tp, bool>
    {
      bool
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x < __y; }
    };

  /// One of the @link s20_3_3_comparisons comparison functors@endlink.
  template <class _Tp>
    struct greater_equal : public binary_function<_Tp, _Tp, bool>
    {
      bool
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x >= __y; }
    };

  /// One of the @link s20_3_3_comparisons comparison functors@endlink.
  template <class _Tp>
    struct less_equal : public binary_function<_Tp, _Tp, bool>
    {
      bool
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x <= __y; }
    };
  /** @}  */

  // 20.3.4 logical operations
  /** @defgroup s20_3_4_logical Boolean Operations Classes
   *  Here are wrapper functors for Boolean operations:  @c &&, @c ||, and @c !.
   *
   *  @{
   */
  /// One of the @link s20_3_4_logical Boolean operations functors@endlink.
  template <class _Tp>
    struct logical_and : public binary_function<_Tp, _Tp, bool>
    {
      bool
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x && __y; }
    };

  /// One of the @link s20_3_4_logical Boolean operations functors@endlink.
  template <class _Tp>
    struct logical_or : public binary_function<_Tp, _Tp, bool>
    {
      bool
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x || __y; }
    };

  /// One of the @link s20_3_4_logical Boolean operations functors@endlink.
  template <class _Tp>
    struct logical_not : public unary_function<_Tp, bool>
    {
      bool
      operator()(const _Tp& __x) const
      { return !__x; }
    };
  /** @}  */

  // 20.3.5 negators
  /** @defgroup s20_3_5_negators Negators
   *  The functions @c not1 and @c not2 each take a predicate functor
   *  and return an instance of @c unary_negate or
   *  @c binary_negate, respectively.  These classes are functors whose
   *  @c operator() performs the stored predicate function and then returns
   *  the negation of the result.
   *
   *  For example, given a vector of integers and a trivial predicate,
   *  \code
   *  struct IntGreaterThanThree
   *    : public std::unary_function<int, bool>
   *  {
   *      bool operator() (int x) { return x > 3; }
   *  };
   *
   *  std::find_if (v.begin(), v.end(), not1(IntGreaterThanThree()));
   *  \endcode
   *  The call to @c find_if will locate the first index (i) of @c v for which
   *  "!(v[i] > 3)" is true.
   *
   *  The not1/unary_negate combination works on predicates taking a single
   *  argument.  The not2/binary_negate combination works on predicates which
   *  take two arguments.
   *
   *  @{
   */
  /// One of the @link s20_3_5_negators negation functors@endlink.
  template <class _Predicate>
    class unary_negate
    : public unary_function<typename _Predicate::argument_type, bool>
    {
    protected:
      _Predicate _M_pred;
    public:
      explicit
      unary_negate(const _Predicate& __x) : _M_pred(__x) {}

      bool
      operator()(const typename _Predicate::argument_type& __x) const
      { return !_M_pred(__x); }
    };

  /// One of the @link s20_3_5_negators negation functors@endlink.
  template <class _Predicate>
    inline unary_negate<_Predicate>
    not1(const _Predicate& __pred)
    { return unary_negate<_Predicate>(__pred); }

  /// One of the @link s20_3_5_negators negation functors@endlink.
  template <class _Predicate>
    class binary_negate
    : public binary_function<typename _Predicate::first_argument_type,
			     typename _Predicate::second_argument_type,
			     bool>
    {
    protected:
      _Predicate _M_pred;
    public:
      explicit
      binary_negate(const _Predicate& __x)
      : _M_pred(__x) { }

      bool
      operator()(const typename _Predicate::first_argument_type& __x,
		 const typename _Predicate::second_argument_type& __y) const
      { return !_M_pred(__x, __y); }
    };

  /// One of the @link s20_3_5_negators negation functors@endlink.
  template <class _Predicate>
    inline binary_negate<_Predicate>
    not2(const _Predicate& __pred)
    { return binary_negate<_Predicate>(__pred); }
  /** @}  */

  // 20.3.6 binders
  /** @defgroup s20_3_6_binder Binder Classes
   *  Binders turn functions/functors with two arguments into functors with
   *  a single argument, storing an argument to be applied later.  For
   *  example, an variable @c B of type @c binder1st is constructed from a
   *  functor @c f and an argument @c x.  Later, B's @c operator() is called
   *  with a single argument @c y.  The return value is the value of @c f(x,y).
   *  @c B can be "called" with various arguments (y1, y2, ...) and will in
   *  turn call @c f(x,y1), @c f(x,y2), ...
   *
   *  The function @c bind1st is provided to save some typing.  It takes the
   *  function and an argument as parameters, and returns an instance of
   *  @c binder1st.
   *
   *  The type @c binder2nd and its creator function @c bind2nd do the same
   *  thing, but the stored argument is passed as the second parameter instead
   *  of the first, e.g., @c bind2nd(std::minus<float>,1.3) will create a
   *  functor whose @c operator() accepts a floating-point number, subtracts
   *  1.3 from it, and returns the result.  (If @c bind1st had been used,
   *  the functor would perform "1.3 - x" instead.
   *
   *  Creator-wrapper functions like @c bind1st are intended to be used in
   *  calling algorithms.  Their return values will be temporary objects.
   *  (The goal is to not require you to type names like
   *  @c std::binder1st<std::plus<int>> for declaring a variable to hold the
   *  return value from @c bind1st(std::plus<int>,5).
   *
   *  These become more useful when combined with the composition functions.
   *
   *  @{
   */
  /// One of the @link s20_3_6_binder binder functors@endlink.
  template <class _Operation>
    class binder1st
    : public unary_function<typename _Operation::second_argument_type,
			    typename _Operation::result_type>
    {
    protected:
      _Operation op;
      typename _Operation::first_argument_type value;
    public:
      binder1st(const _Operation& __x,
		const typename _Operation::first_argument_type& __y)
      : op(__x), value(__y) {}

      typename _Operation::result_type
      operator()(const typename _Operation::second_argument_type& __x) const
      { return op(value, __x); }

      // _GLIBCXX_RESOLVE_LIB_DEFECTS
      // 109.  Missing binders for non-const sequence elements
      typename _Operation::result_type
      operator()(typename _Operation::second_argument_type& __x) const
      { return op(value, __x); }
    };

  /// One of the @link s20_3_6_binder binder functors@endlink.
  template <class _Operation, class _Tp>
    inline binder1st<_Operation>
    bind1st(const _Operation& __fn, const _Tp& __x)
    {
      typedef typename _Operation::first_argument_type _Arg1_type;
      return binder1st<_Operation>(__fn, _Arg1_type(__x));
    }

  /// One of the @link s20_3_6_binder binder functors@endlink.
  template <class _Operation>
    class binder2nd
    : public unary_function<typename _Operation::first_argument_type,
			    typename _Operation::result_type>
    {
    protected:
      _Operation op;
      typename _Operation::second_argument_type value;
    public:
      binder2nd(const _Operation& __x,
		const typename _Operation::second_argument_type& __y)
      : op(__x), value(__y) {}

      typename _Operation::result_type
      operator()(const typename _Operation::first_argument_type& __x) const
      { return op(__x, value); }

      // _GLIBCXX_RESOLVE_LIB_DEFECTS
      // 109.  Missing binders for non-const sequence elements
      typename _Operation::result_type
      operator()(typename _Operation::first_argument_type& __x) const
      { return op(__x, value); }
    };

  /// One of the @link s20_3_6_binder binder functors@endlink.
  template <class _Operation, class _Tp>