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+// Numeric functions implementation -*- C++ -*-
+
+// Copyright (C) 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009
+// 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 stl_numeric.h
+ * This is an internal header file, included by other library headers.
+ * You should not attempt to use it directly.
+ */
+
+#ifndef _STL_NUMERIC_H
+#define _STL_NUMERIC_H 1
+
+#include <bits/concept_check.h>
+#include <debug/debug.h>
+
+#ifdef __GXX_EXPERIMENTAL_CXX0X__
+
+_GLIBCXX_BEGIN_NAMESPACE(std)
+
+ /**
+ * @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
+
+#endif
+
+_GLIBCXX_BEGIN_NESTED_NAMESPACE(std, _GLIBCXX_STD_P)
+
+ /**
+ * @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 operator+().
+ * As each successive input value is added into the total, that partial sum
+ * is written to @a result. Therefore, the first value in result is the
+ * first value of the input, the second value in 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 operator+().
+ * As each successive input value is added into the total, that partial sum
+ * is written to @a result. Therefore, the first value in result is the
+ * first value of the input, the second value in 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,
+ 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.
+ */
+ 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 = __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.
+ */
+ 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 = __tmp;
+ }
+ return ++__result;
+ }
+
+_GLIBCXX_END_NESTED_NAMESPACE
+
+#endif /* _STL_NUMERIC_H */