| // Numeric functions implementation -*- C++ -*- |
| |
| // Copyright (C) 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, |
| // 2011 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 3, or (at your option) |
| // any later version. |
| |
| // This library is distributed in the hope that it will be useful, |
| // but WITHOUT ANY WARRANTY; without even the implied warranty of |
| // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
| // GNU General Public License for more details. |
| |
| // Under Section 7 of GPL version 3, you are granted additional |
| // permissions described in the GCC Runtime Library Exception, version |
| // 3.1, as published by the Free Software Foundation. |
| |
| // You should have received a copy of the GNU General Public License and |
| // a copy of the GCC Runtime Library Exception along with this program; |
| // see the files COPYING3 and COPYING.RUNTIME respectively. If not, see |
| // <http://www.gnu.org/licenses/>. |
| |
| /* |
| * |
| * 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) 1996,1997 |
| * 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 bits/stl_numeric.h |
| * This is an internal header file, included by other library headers. |
| * Do not attempt to use it directly. @headername{numeric} |
| */ |
| |
| #ifndef _STL_NUMERIC_H |
| #define _STL_NUMERIC_H 1 |
| |
| #include <bits/concept_check.h> |
| #include <debug/debug.h> |
| #include <bits/move.h> // For _GLIBCXX_MOVE |
| |
| #ifdef __GXX_EXPERIMENTAL_CXX0X__ |
| |
| namespace std _GLIBCXX_VISIBILITY(default) |
| { |
| _GLIBCXX_BEGIN_NAMESPACE_VERSION |
| |
| /** |
| * @brief Create a range of sequentially increasing values. |
| * |
| * For each element in the range @p [first,last) assigns @p value and |
| * increments @p value as if by @p ++value. |
| * |
| * @param first Start of range. |
| * @param last End of range. |
| * @param value Starting value. |
| * @return Nothing. |
| */ |
| template<typename _ForwardIterator, typename _Tp> |
| void |
| iota(_ForwardIterator __first, _ForwardIterator __last, _Tp __value) |
| { |
| // concept requirements |
| __glibcxx_function_requires(_Mutable_ForwardIteratorConcept< |
| _ForwardIterator>) |
| __glibcxx_function_requires(_ConvertibleConcept<_Tp, |
| typename iterator_traits<_ForwardIterator>::value_type>) |
| __glibcxx_requires_valid_range(__first, __last); |
| |
| for (; __first != __last; ++__first) |
| { |
| *__first = __value; |
| ++__value; |
| } |
| } |
| |
| _GLIBCXX_END_NAMESPACE_VERSION |
| } // namespace std |
| |
| #endif |
| |
| namespace std _GLIBCXX_VISIBILITY(default) |
| { |
| _GLIBCXX_BEGIN_NAMESPACE_ALGO |
| |
| /** |
| * @brief Accumulate values in a range. |
| * |
| * Accumulates the values in the range [first,last) using operator+(). The |
| * initial value is @a init. The values are processed in order. |
| * |
| * @param first Start of range. |
| * @param last End of range. |
| * @param init Starting value to add other values to. |
| * @return The final sum. |
| */ |
| template<typename _InputIterator, typename _Tp> |
| inline _Tp |
| accumulate(_InputIterator __first, _InputIterator __last, _Tp __init) |
| { |
| // concept requirements |
| __glibcxx_function_requires(_InputIteratorConcept<_InputIterator>) |
| __glibcxx_requires_valid_range(__first, __last); |
| |
| for (; __first != __last; ++__first) |
| __init = __init + *__first; |
| return __init; |
| } |
| |
| /** |
| * @brief Accumulate values in a range with operation. |
| * |
| * Accumulates the values in the range [first,last) using the function |
| * object @a binary_op. The initial value is @a init. The values are |
| * processed in order. |
| * |
| * @param first Start of range. |
| * @param last End of range. |
| * @param init Starting value to add other values to. |
| * @param binary_op Function object to accumulate with. |
| * @return The final sum. |
| */ |
| template<typename _InputIterator, typename _Tp, typename _BinaryOperation> |
| inline _Tp |
| accumulate(_InputIterator __first, _InputIterator __last, _Tp __init, |
| _BinaryOperation __binary_op) |
| { |
| // concept requirements |
| __glibcxx_function_requires(_InputIteratorConcept<_InputIterator>) |
| __glibcxx_requires_valid_range(__first, __last); |
| |
| for (; __first != __last; ++__first) |
| __init = __binary_op(__init, *__first); |
| return __init; |
| } |
| |
| /** |
| * @brief Compute inner product of two ranges. |
| * |
| * Starting with an initial value of @a init, multiplies successive |
| * elements from the two ranges and adds each product into the accumulated |
| * value using operator+(). The values in the ranges are processed in |
| * order. |
| * |
| * @param first1 Start of range 1. |
| * @param last1 End of range 1. |
| * @param first2 Start of range 2. |
| * @param init Starting value to add other values to. |
| * @return The final inner product. |
| */ |
| template<typename _InputIterator1, typename _InputIterator2, typename _Tp> |
| inline _Tp |
| inner_product(_InputIterator1 __first1, _InputIterator1 __last1, |
| _InputIterator2 __first2, _Tp __init) |
| { |
| // concept requirements |
| __glibcxx_function_requires(_InputIteratorConcept<_InputIterator1>) |
| __glibcxx_function_requires(_InputIteratorConcept<_InputIterator2>) |
| __glibcxx_requires_valid_range(__first1, __last1); |
| |
| for (; __first1 != __last1; ++__first1, ++__first2) |
| __init = __init + (*__first1 * *__first2); |
| return __init; |
| } |
| |
| /** |
| * @brief Compute inner product of two ranges. |
| * |
| * Starting with an initial value of @a init, applies @a binary_op2 to |
| * successive elements from the two ranges and accumulates each result into |
| * the accumulated value using @a binary_op1. The values in the ranges are |
| * processed in order. |
| * |
| * @param first1 Start of range 1. |
| * @param last1 End of range 1. |
| * @param first2 Start of range 2. |
| * @param init Starting value to add other values to. |
| * @param binary_op1 Function object to accumulate with. |
| * @param binary_op2 Function object to apply to pairs of input values. |
| * @return The final inner product. |
| */ |
| template<typename _InputIterator1, typename _InputIterator2, typename _Tp, |
| typename _BinaryOperation1, typename _BinaryOperation2> |
| inline _Tp |
| inner_product(_InputIterator1 __first1, _InputIterator1 __last1, |
| _InputIterator2 __first2, _Tp __init, |
| _BinaryOperation1 __binary_op1, |
| _BinaryOperation2 __binary_op2) |
| { |
| // concept requirements |
| __glibcxx_function_requires(_InputIteratorConcept<_InputIterator1>) |
| __glibcxx_function_requires(_InputIteratorConcept<_InputIterator2>) |
| __glibcxx_requires_valid_range(__first1, __last1); |
| |
| for (; __first1 != __last1; ++__first1, ++__first2) |
| __init = __binary_op1(__init, __binary_op2(*__first1, *__first2)); |
| return __init; |
| } |
| |
| /** |
| * @brief Return list of partial sums |
| * |
| * Accumulates the values in the range [first,last) using the @c + operator. |
| * As each successive input value is added into the total, that partial sum |
| * is written to @p result. Therefore, the first value in @p result is the |
| * first value of the input, the second value in @p result is the sum of the |
| * first and second input values, and so on. |
| * |
| * @param first Start of input range. |
| * @param last End of input range. |
| * @param result Output to write sums to. |
| * @return Iterator pointing just beyond the values written to result. |
| */ |
| template<typename _InputIterator, typename _OutputIterator> |
| _OutputIterator |
| partial_sum(_InputIterator __first, _InputIterator __last, |
| _OutputIterator __result) |
| { |
| typedef typename iterator_traits<_InputIterator>::value_type _ValueType; |
| |
| // concept requirements |
| __glibcxx_function_requires(_InputIteratorConcept<_InputIterator>) |
| __glibcxx_function_requires(_OutputIteratorConcept<_OutputIterator, |
| _ValueType>) |
| __glibcxx_requires_valid_range(__first, __last); |
| |
| if (__first == __last) |
| return __result; |
| _ValueType __value = *__first; |
| *__result = __value; |
| while (++__first != __last) |
| { |
| __value = __value + *__first; |
| *++__result = __value; |
| } |
| return ++__result; |
| } |
| |
| /** |
| * @brief Return list of partial sums |
| * |
| * Accumulates the values in the range [first,last) using @p binary_op. |
| * As each successive input value is added into the total, that partial sum |
| * is written to @a result. Therefore, the first value in @p result is the |
| * first value of the input, the second value in @p result is the sum of the |
| * first and second input values, and so on. |
| * |
| * @param first Start of input range. |
| * @param last End of input range. |
| * @param result Output to write sums to. |
| * @param binary_op Function object. |
| * @return Iterator pointing just beyond the values written to result. |
| */ |
| template<typename _InputIterator, typename _OutputIterator, |
| typename _BinaryOperation> |
| _OutputIterator |
| partial_sum(_InputIterator __first, _InputIterator __last, |
| _OutputIterator __result, _BinaryOperation __binary_op) |
| { |
| typedef typename iterator_traits<_InputIterator>::value_type _ValueType; |
| |
| // concept requirements |
| __glibcxx_function_requires(_InputIteratorConcept<_InputIterator>) |
| __glibcxx_function_requires(_OutputIteratorConcept<_OutputIterator, |
| _ValueType>) |
| __glibcxx_requires_valid_range(__first, __last); |
| |
| if (__first == __last) |
| return __result; |
| _ValueType __value = *__first; |
| *__result = __value; |
| while (++__first != __last) |
| { |
| __value = __binary_op(__value, *__first); |
| *++__result = __value; |
| } |
| return ++__result; |
| } |
| |
| /** |
| * @brief Return differences between adjacent values. |
| * |
| * Computes the difference between adjacent values in the range |
| * [first,last) using operator-() and writes the result to @a result. |
| * |
| * @param first Start of input range. |
| * @param last End of input range. |
| * @param result Output to write sums to. |
| * @return Iterator pointing just beyond the values written to result. |
| * |
| * _GLIBCXX_RESOLVE_LIB_DEFECTS |
| * DR 539. partial_sum and adjacent_difference should mention requirements |
| */ |
| template<typename _InputIterator, typename _OutputIterator> |
| _OutputIterator |
| adjacent_difference(_InputIterator __first, |
| _InputIterator __last, _OutputIterator __result) |
| { |
| typedef typename iterator_traits<_InputIterator>::value_type _ValueType; |
| |
| // concept requirements |
| __glibcxx_function_requires(_InputIteratorConcept<_InputIterator>) |
| __glibcxx_function_requires(_OutputIteratorConcept<_OutputIterator, |
| _ValueType>) |
| __glibcxx_requires_valid_range(__first, __last); |
| |
| if (__first == __last) |
| return __result; |
| _ValueType __value = *__first; |
| *__result = __value; |
| while (++__first != __last) |
| { |
| _ValueType __tmp = *__first; |
| *++__result = __tmp - __value; |
| __value = _GLIBCXX_MOVE(__tmp); |
| } |
| return ++__result; |
| } |
| |
| /** |
| * @brief Return differences between adjacent values. |
| * |
| * Computes the difference between adjacent values in the range |
| * [first,last) using the function object @a binary_op and writes the |
| * result to @a result. |
| * |
| * @param first Start of input range. |
| * @param last End of input range. |
| * @param result Output to write sums to. |
| * @return Iterator pointing just beyond the values written to result. |
| * |
| * _GLIBCXX_RESOLVE_LIB_DEFECTS |
| * DR 539. partial_sum and adjacent_difference should mention requirements |
| */ |
| template<typename _InputIterator, typename _OutputIterator, |
| typename _BinaryOperation> |
| _OutputIterator |
| adjacent_difference(_InputIterator __first, _InputIterator __last, |
| _OutputIterator __result, _BinaryOperation __binary_op) |
| { |
| typedef typename iterator_traits<_InputIterator>::value_type _ValueType; |
| |
| // concept requirements |
| __glibcxx_function_requires(_InputIteratorConcept<_InputIterator>) |
| __glibcxx_function_requires(_OutputIteratorConcept<_OutputIterator, |
| _ValueType>) |
| __glibcxx_requires_valid_range(__first, __last); |
| |
| if (__first == __last) |
| return __result; |
| _ValueType __value = *__first; |
| *__result = __value; |
| while (++__first != __last) |
| { |
| _ValueType __tmp = *__first; |
| *++__result = __binary_op(__tmp, __value); |
| __value = _GLIBCXX_MOVE(__tmp); |
| } |
| return ++__result; |
| } |
| |
| _GLIBCXX_END_NAMESPACE_ALGO |
| } // namespace std |
| |
| #endif /* _STL_NUMERIC_H */ |