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source/elements/oneTBB/source/algorithms/blocked_ranges/blocked_nd_range_cls.rst
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.. SPDX-FileCopyrightText: 2019-2024 Intel Corporation | ||
.. SPDX-FileCopyrightText: Contributors to the oneAPI Specification project. | ||
.. | ||
.. SPDX-License-Identifier: CC-BY-4.0 | ||
================ | ||
blocked_nd_range | ||
================ | ||
**[algorithms.blocked_nd_range]** | ||
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Class template that represents a recursively divisible N-dimensional half-open interval. | ||
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A ``blocked_nd_range`` is the N-dimensional extension of ``blocked_range``. | ||
You can interpret it as a Cartesian product of N instances of ``blocked_range``. | ||
It meets the :doc:`Range requirements <../../named_requirements/algorithms/range>`. | ||
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Unlike ``blocked_range2d`` and ``blocked_range3d``, all dimensions of ``blocked_nd_range`` must be specified | ||
over the same ``Value`` type. The class constructors also differ from those of ``blocked_range2d/3d``. | ||
Different naming patterns indicate the distinction between the classes. | ||
For example, ``blocked_nd_range<int,2>`` is analogous but not identical to ``blocked_range2d<int,int>``. | ||
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.. code:: cpp | ||
namespace oneapi { | ||
namespace tbb { | ||
template<typename Value, unsigned int N> | ||
class blocked_nd_range { | ||
public: | ||
// Types | ||
using value_type = Value; | ||
using dim_range_type = blocked_range<value_type>; | ||
using size_type = typename dim_range_type::size_type; | ||
// Constructors | ||
blocked_nd_range(const dim_range_type& dim0 /*, ... - exactly N parameters of the same type*/); | ||
blocked_nd_range(const value_type (&dim_size)[N], size_type grainsize = 1); | ||
blocked_nd_range(blocked_nd_range& r, split); | ||
blocked_nd_range(blocked_nd_range& r, proportional_split proportion); | ||
// Capacity | ||
static constexpr unsigned int dim_count(); | ||
bool empty() const; | ||
// Access | ||
bool is_divisible() const; | ||
const dim_range_type& dim(unsigned int dimension) const; | ||
}; | ||
} // namespace tbb | ||
} // namespace oneapi | ||
Requirements: | ||
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* ``N`` must be greater than 0. | ||
* The *Value* must meet the :doc:`BlockedRangeValue requirements <../../named_requirements/algorithms/blocked_range_val>`. | ||
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Member types | ||
------------ | ||
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.. code:: cpp | ||
using value_type = Value; | ||
The type of the range values. | ||
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.. code:: cpp | ||
using dim_range_type = blocked_range<value_type>; | ||
The type that represents one out of the N dimensions. | ||
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.. code:: cpp | ||
using size_type = typename dim_range_type::size_type; | ||
The type for measuring the size of a dimension. | ||
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Member functions | ||
---------------- | ||
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.. code:: cpp | ||
blocked_nd_range( const dim_range_type& dim0 /*, ... - exactly N parameters of the same type*/ ); | ||
**Effects:** Constructs a ``blocked_nd_range`` representing an N-dimensional space of values. | ||
The space is the half-open Cartesian product of one-dimensional ranges ``dim0 x ...``. | ||
The constructor must take exactly N arguments, which types match ``const dim_range_type&``. | ||
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**Example:** For ``blocked_nd_range<int,4>``, this constructor is equivalent to | ||
``blocked_nd_range( const blocked_range<int>&, const blocked_range<int>&, const blocked_range<int>&, const blocked_range<int>& )``. | ||
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.. note:: | ||
This constructor cannot be substituted with a variadic template constructor | ||
``template <typename... Dims> blocked_nd_range( const Dims&... dims )``, even if the latter | ||
is constrained by the size and type requirements for the parameter pack ``Dims``. | ||
That is because the types in ``Dims`` could not be automatically deduced from arguments specified as | ||
braced initialization lists, and so expressions like ``blocked_nd_range<int,4>{{0,1},{0,2},{0,3},{0,4}}`` | ||
would fail to compile. | ||
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.. code:: cpp | ||
blocked_nd_range( const value_type (&dim_size)[N], size_type grainsize = 1 ); | ||
**Effects:** Constructs a ``blocked_nd_range`` representing an N-dimensional space of values. | ||
The space is the half-open Cartesian product of ranges ``[0, dim_size[0]) x [0, dim_size[1]) x ...`` | ||
each having the same grain size. | ||
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**Example:** The ``blocked_nd_range<int,4> r( {5,6,7,8}, 4 );`` statement constructs a four-dimensional | ||
space that contains all value tuples ``(i, j, k, l)``, where ``i`` ranges from 0 (included) | ||
to 5 (excluded) with a grain size of 4, ``j`` ranges from 0 to 6 with a grain size of 4, and so forth. | ||
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.. code:: cpp | ||
blocked_nd_range( blocked_nd_range& range, split ); | ||
Basic splitting constructor. | ||
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**Requirements**: ``is_divisible()`` is true. | ||
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**Effects**: Partitions ``range`` into two subranges. The newly constructed ``blocked_nd_range`` is approximately | ||
the half of the original ``range``, and ``range`` is updated to be the remainder. | ||
Splitting is done across one dimension, while other dimensions and the grain sizes for | ||
each subrange remain the same as in the original ``range``. | ||
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.. note:: | ||
It is recommended to split across the dimension with the biggest size-to-grainsize ratio, | ||
so that, after repeated splitting, subranges become of approximately square/cubic/hypercubic shape | ||
if all grain sizes are the same. | ||
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.. code:: cpp | ||
blocked_nd_range( blocked_nd_range& range, proportional_split proportion ); | ||
Proportional splitting constructor. | ||
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**Requirements**: ``is_divisible()`` is true. | ||
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**Effects**: Partitions ``range`` into two subranges in the given ``proportion`` across one of its dimensions. | ||
The effect is similar to the basic splitting constructor, except for proportional splitting of the selected | ||
dimension, as specified for :doc:`blocked_range <blocked_range_cls>`. | ||
Other dimensions and the grain sizes for each subrange remain the same as in the original ``range``. | ||
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.. code:: cpp | ||
static constexpr unsigned int dim_count(); | ||
**Returns:** The number of dimensions set by the class template argument ``N``. | ||
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.. code:: cpp | ||
bool empty() const; | ||
**Effects**: Determines if the range is empty. | ||
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**Returns:** True if for any of the range dimensions ``empty()`` is true; false, otherwise. | ||
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.. code:: cpp | ||
bool is_divisible() const; | ||
**Effects**: Determines if the range can be split into subranges. | ||
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**Returns:** True if for any of the range dimensions ``is_divisible()`` is true; false, otherwise. | ||
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.. code:: cpp | ||
const dim_range_type& dim(unsigned int dimension) const; | ||
**Requirements**: 0 <= ``dimension`` < N. | ||
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**Returns:** ``blocked_range`` containing the value space along the dimension specified by the argument. | ||
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See also: | ||
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* :doc:`blocked_range <blocked_range_cls>` | ||
* :doc:`blocked_range2d <blocked_range2d_cls>` | ||
* :doc:`blocked_range3d <blocked_range3d_cls>` | ||
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