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- // Copyright 2015-2016 Hans Dembinski
- //
- // Distributed under the Boost Software License, Version 1.0.
- // (See accompanying file LICENSE_1_0.txt
- // or copy at http://www.boost.org/LICENSE_1_0.txt)
- #ifndef BOOST_HISTOGRAM_INDEXED_HPP
- #define BOOST_HISTOGRAM_INDEXED_HPP
- #include <array>
- #include <boost/config.hpp>
- #include <boost/histogram/axis/traits.hpp>
- #include <boost/histogram/detail/axes.hpp>
- #include <boost/histogram/detail/iterator_adaptor.hpp>
- #include <boost/histogram/detail/operators.hpp>
- #include <boost/histogram/fwd.hpp>
- #include <iterator>
- #include <type_traits>
- #include <utility>
- namespace boost {
- namespace histogram {
- /** Coverage mode of the indexed range generator.
- Defines options for the iteration strategy.
- */
- enum class coverage {
- inner, /*!< iterate over inner bins, exclude underflow and overflow */
- all, /*!< iterate over all bins, including underflow and overflow */
- };
- /** Input iterator range over histogram bins with multi-dimensional index.
- The iterator returned by begin() can only be incremented. begin() may only be called
- once, calling it a second time returns the end() iterator. If several copies of the
- input iterators exist, the other copies become invalid if one of them is incremented.
- */
- template <class Histogram>
- class BOOST_ATTRIBUTE_NODISCARD indexed_range {
- private:
- using histogram_type = Histogram;
- static constexpr std::size_t buffer_size =
- detail::buffer_size<typename std::remove_const_t<histogram_type>::axes_type>::value;
- public:
- using value_iterator = std::conditional_t<std::is_const<histogram_type>::value,
- typename histogram_type::const_iterator,
- typename histogram_type::iterator>;
- using value_reference = typename std::iterator_traits<value_iterator>::reference;
- using value_type = typename std::iterator_traits<value_iterator>::value_type;
- class iterator;
- using range_iterator = iterator; ///< deprecated
- /** Lightweight view to access value and index of current cell.
- The methods provide access to the current cell indices and bins. It acts like a
- pointer to the cell value, and in a limited way also like a reference. To interoperate
- with the algorithms of the standard library, the accessor is implicitly convertible to
- a cell value. Assignments and comparisons are passed through to the cell. An accessor
- is coupled to its parent indexed_range::iterator. Moving the parent iterator
- forward also updates the linked accessor. Accessors are not copyable. They cannot be
- stored in containers, but indexed_range::iterator can be stored.
- */
- class BOOST_ATTRIBUTE_NODISCARD accessor : detail::mirrored<accessor, void> {
- public:
- /// Array-like view into the current multi-dimensional index.
- class index_view {
- using index_pointer = const typename iterator::index_data*;
- public:
- using const_reference = const axis::index_type&;
- using reference = const_reference; ///< deprecated
- /// implementation detail
- class const_iterator
- : public detail::iterator_adaptor<const_iterator, index_pointer,
- const_reference> {
- public:
- const_reference operator*() const noexcept { return const_iterator::base()->idx; }
- private:
- explicit const_iterator(index_pointer i) noexcept
- : const_iterator::iterator_adaptor_(i) {}
- friend class index_view;
- };
- const_iterator begin() const noexcept { return const_iterator{begin_}; }
- const_iterator end() const noexcept { return const_iterator{end_}; }
- std::size_t size() const noexcept {
- return static_cast<std::size_t>(end_ - begin_);
- }
- const_reference operator[](unsigned d) const noexcept { return begin_[d].idx; }
- const_reference at(unsigned d) const { return begin_[d].idx; }
- private:
- /// implementation detail
- index_view(index_pointer b, index_pointer e) : begin_(b), end_(e) {}
- index_pointer begin_, end_;
- friend class accessor;
- };
- // assignment is pass-through
- accessor& operator=(const accessor& o) {
- get() = o.get();
- return *this;
- }
- // assignment is pass-through
- template <class T>
- accessor& operator=(const T& x) {
- get() = x;
- return *this;
- }
- /// Returns the cell reference.
- value_reference get() const noexcept { return *(iter_.iter_); }
- /// @copydoc get()
- value_reference operator*() const noexcept { return get(); }
- /// Access fields and methods of the cell object.
- value_iterator operator->() const noexcept { return iter_.iter_; }
- /// Access current index.
- /// @param d axis dimension.
- axis::index_type index(unsigned d = 0) const noexcept {
- return iter_.indices_[d].idx;
- }
- /// Access indices as an iterable range.
- index_view indices() const noexcept {
- BOOST_ASSERT(iter_.indices_.hist_);
- return {iter_.indices_.data(),
- iter_.indices_.data() + iter_.indices_.hist_->rank()};
- }
- /// Access current bin.
- /// @tparam N axis dimension.
- template <unsigned N = 0>
- decltype(auto) bin(std::integral_constant<unsigned, N> = {}) const {
- BOOST_ASSERT(iter_.indices_.hist_);
- return iter_.indices_.hist_->axis(std::integral_constant<unsigned, N>())
- .bin(index(N));
- }
- /// Access current bin.
- /// @param d axis dimension.
- decltype(auto) bin(unsigned d) const {
- BOOST_ASSERT(iter_.indices_.hist_);
- return iter_.indices_.hist_->axis(d).bin(index(d));
- }
- /** Computes density in current cell.
- The density is computed as the cell value divided by the product of bin widths. Axes
- without bin widths, like axis::category, are treated as having unit bin with.
- */
- double density() const {
- BOOST_ASSERT(iter_.indices_.hist_);
- double x = 1;
- unsigned d = 0;
- iter_.indices_.hist_->for_each_axis([&](const auto& a) {
- const auto w = axis::traits::width_as<double>(a, this->index(d++));
- x *= w ? w : 1;
- });
- return get() / x;
- }
- // forward all comparison operators to the value
- bool operator<(const accessor& o) noexcept { return get() < o.get(); }
- bool operator>(const accessor& o) noexcept { return get() > o.get(); }
- bool operator==(const accessor& o) noexcept { return get() == o.get(); }
- bool operator!=(const accessor& o) noexcept { return get() != o.get(); }
- bool operator<=(const accessor& o) noexcept { return get() <= o.get(); }
- bool operator>=(const accessor& o) noexcept { return get() >= o.get(); }
- template <class U>
- bool operator<(const U& o) const noexcept {
- return get() < o;
- }
- template <class U>
- bool operator>(const U& o) const noexcept {
- return get() > o;
- }
- template <class U>
- bool operator==(const U& o) const noexcept {
- return get() == o;
- }
- template <class U>
- bool operator!=(const U& o) const noexcept {
- return get() != o;
- }
- template <class U>
- bool operator<=(const U& o) const noexcept {
- return get() <= o;
- }
- template <class U>
- bool operator>=(const U& o) const noexcept {
- return get() >= o;
- }
- operator value_type() const noexcept { return get(); }
- private:
- accessor(iterator& i) noexcept : iter_(i) {}
- accessor(const accessor&) = default; // only callable by indexed_range::iterator
- iterator& iter_;
- friend class iterator;
- };
- /// implementation detail
- class iterator {
- public:
- using value_type = typename indexed_range::value_type;
- using reference = accessor;
- private:
- struct pointer_proxy {
- reference* operator->() noexcept { return std::addressof(ref_); }
- reference ref_;
- };
- public:
- using pointer = pointer_proxy;
- using difference_type = std::ptrdiff_t;
- using iterator_category = std::forward_iterator_tag;
- reference operator*() noexcept { return *this; }
- pointer operator->() noexcept { return pointer_proxy{operator*()}; }
- iterator& operator++() {
- BOOST_ASSERT(indices_.hist_);
- std::size_t stride = 1;
- auto c = indices_.begin();
- ++c->idx;
- ++iter_;
- while (c->idx == c->end && (c != (indices_.end() - 1))) {
- c->idx = c->begin;
- iter_ -= (c->end - c->begin) * stride;
- stride *= c->extent;
- ++c;
- ++c->idx;
- iter_ += stride;
- }
- return *this;
- }
- iterator operator++(int) {
- auto prev = *this;
- operator++();
- return prev;
- }
- bool operator==(const iterator& x) const noexcept { return iter_ == x.iter_; }
- bool operator!=(const iterator& x) const noexcept { return !operator==(x); }
- private:
- iterator(histogram_type* h) : iter_(h->begin()), indices_(h) {}
- value_iterator iter_;
- struct index_data {
- axis::index_type idx, begin, end, extent;
- };
- struct indices_t : std::array<index_data, buffer_size> {
- using base_type = std::array<index_data, buffer_size>;
- indices_t(histogram_type* h) noexcept : hist_{h} {}
- constexpr auto end() noexcept { return base_type::begin() + hist_->rank(); }
- constexpr auto end() const noexcept { return base_type::begin() + hist_->rank(); }
- histogram_type* hist_;
- } indices_;
- friend class indexed_range;
- };
- indexed_range(histogram_type& hist, coverage cov) : begin_(&hist), end_(&hist) {
- std::size_t stride = 1;
- auto ca = begin_.indices_.begin();
- const auto clast = ca + begin_.indices_.hist_->rank() - 1;
- begin_.indices_.hist_->for_each_axis(
- [ca, clast, cov, &stride, this](const auto& a) mutable {
- using opt = axis::traits::static_options<std::decay_t<decltype(a)>>;
- constexpr int under = opt::test(axis::option::underflow);
- constexpr int over = opt::test(axis::option::overflow);
- const auto size = a.size();
- ca->extent = size + under + over;
- // -1 if underflow and cover all, else 0
- ca->begin = cov == coverage::all ? -under : 0;
- // size + 1 if overflow and cover all, else size
- ca->end = cov == coverage::all ? size + over : size;
- ca->idx = ca->begin;
- begin_.iter_ += (ca->begin + under) * stride;
- end_.iter_ += ((ca < clast ? ca->begin : ca->end) + under) * stride;
- stride *= ca->extent;
- ++ca;
- });
- }
- iterator begin() noexcept { return begin_; }
- iterator end() noexcept { return end_; }
- private:
- iterator begin_, end_;
- };
- /** Generates an indexed range of <a
- href="https://en.cppreference.com/w/cpp/named_req/ForwardIterator">forward iterators</a>
- over the histogram cells.
- Use this in a range-based for loop:
- ```
- for (auto&& x : indexed(hist)) { ... }
- ```
- This generates an optimized loop which is nearly always faster than a hand-written loop
- over the histogram cells. The iterators dereference to an indexed_range::accessor, which
- has methods to query the current indices and bins and acts like a pointer to the cell
- value. The returned iterators are forward iterators. They can be stored in a container,
- but may not be used after the life-time of the histogram ends.
- @returns indexed_range
- @param hist Reference to the histogram.
- @param cov Iterate over all or only inner bins (optional, default: inner).
- */
- template <class Histogram>
- auto indexed(Histogram&& hist, coverage cov = coverage::inner) {
- return indexed_range<std::remove_reference_t<Histogram>>{std::forward<Histogram>(hist),
- cov};
- }
- } // namespace histogram
- } // namespace boost
- #endif
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