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add doc: is_increasing, is_decreasing

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6
docs/_sources/libs/sprout/algorithm/index.txt
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@ -29,6 +29,10 @@ Sprout.Algorithm
search_n
is_sorted
is_sorted_until
is_increasing
is_decreasing
is_strictly_increasing
is_strictly_decreasing
.. _sprout-algorithm-non_modifying:
*******************************************************************************
@ -81,8 +85,8 @@ Binary search
Heap operations
========================================
* :doc:`is_heap_until <./is_heap_until>`
* :doc:`is_heap <./is_heap>`
* :doc:`is_heap_until <./is_heap_until>`
.. _sprout-algorithm-non_modifying-minmax:
Minimum and maximum

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docs/_sources/libs/sprout/algorithm/is_decreasing.txt Normal file
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@ -0,0 +1,42 @@
.. _sprout-algorithm-is_decreasing:
###############################################################################
is_decreasing
###############################################################################
Interface
========================================
.. sourcecode:: c++
template<typename ForwardIterator>
inline SPROUT_CONSTEXPR bool
is_decreasing(ForwardIterator first, ForwardIterator last);
Returns
========================================
| Same as ``is_sorted(first, last, greater<>())``.
Examples
========================================
.. sourcecode:: c++
#include <sprout/algorithm/is_decreasing.hpp>
#include <sprout/array.hpp>
#include <sprout/container.hpp>
using namespace sprout;
SPROUT_STATIC_CONSTEXPR auto input = array<int, 10>{{5, 5, 4, 4, 3, 3, 2, 2, 1, 1}};
SPROUT_STATIC_CONSTEXPR auto result = sprout::is_decreasing(begin(input), end(input));
static_assert(result, "input is decreasing.");
Complexity
========================================
| Recursive function invocations in *O(logN)* (logarithmic) depth.
Header
========================================
| ``sprout/algorithm/is_decreasing.hpp``
| Convenience header: ``sprout/algorithm.hpp``

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docs/_sources/libs/sprout/algorithm/is_increasing.txt Normal file
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@ -0,0 +1,42 @@
.. _sprout-algorithm-is_increasing:
###############################################################################
is_increasing
###############################################################################
Interface
========================================
.. sourcecode:: c++
template<typename ForwardIterator>
inline SPROUT_CONSTEXPR bool
is_increasing(ForwardIterator first, ForwardIterator last);
Returns
========================================
| Same as ``is_sorted(first, last, less<>())``.
Examples
========================================
.. sourcecode:: c++
#include <sprout/algorithm/is_increasing.hpp>
#include <sprout/array.hpp>
#include <sprout/container.hpp>
using namespace sprout;
SPROUT_STATIC_CONSTEXPR auto input = array<int, 10>{{1, 1, 2, 2, 3, 3, 4, 4, 5, 5}};
SPROUT_STATIC_CONSTEXPR auto result = sprout::is_increasing(begin(input), end(input));
static_assert(result, "input is increasing.");
Complexity
========================================
| Recursive function invocations in *O(logN)* (logarithmic) depth.
Header
========================================
| ``sprout/algorithm/is_increasing.hpp``
| Convenience header: ``sprout/algorithm.hpp``

42
docs/_sources/libs/sprout/algorithm/is_strictly_decreasing.txt Normal file
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@ -0,0 +1,42 @@
.. _sprout-algorithm-is_strictly_decreasing:
###############################################################################
is_strictly_decreasing
###############################################################################
Interface
========================================
.. sourcecode:: c++
template<typename ForwardIterator>
inline SPROUT_CONSTEXPR bool
is_strictly_decreasing(ForwardIterator first, ForwardIterator last);
Returns
========================================
| Same as ``is_sorted(first, last, greater_equal<>())``.
Examples
========================================
.. sourcecode:: c++
#include <sprout/algorithm/is_strictly_decreasing.hpp>
#include <sprout/array.hpp>
#include <sprout/container.hpp>
using namespace sprout;
SPROUT_STATIC_CONSTEXPR auto input = array<int, 10>{{10, 9, 8, 7, 6, 5, 4, 3, 2, 1}};
SPROUT_STATIC_CONSTEXPR auto result = sprout::is_strictly_decreasing(begin(input), end(input));
static_assert(result, "input is strictly decreasing.");
Complexity
========================================
| Recursive function invocations in *O(logN)* (logarithmic) depth.
Header
========================================
| ``sprout/algorithm/is_strictly_decreasing.hpp``
| Convenience header: ``sprout/algorithm.hpp``

42
docs/_sources/libs/sprout/algorithm/is_strictly_increasing.txt Normal file
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@ -0,0 +1,42 @@
.. _sprout-algorithm-is_strictly_increasing:
###############################################################################
is_strictly_increasing
###############################################################################
Interface
========================================
.. sourcecode:: c++
template<typename ForwardIterator>
inline SPROUT_CONSTEXPR bool
is_strictly_increasing(ForwardIterator first, ForwardIterator last);
Returns
========================================
| Same as ``is_sorted(first, last, less_equal<>())``.
Examples
========================================
.. sourcecode:: c++
#include <sprout/algorithm/is_strictly_increasing.hpp>
#include <sprout/array.hpp>
#include <sprout/container.hpp>
using namespace sprout;
SPROUT_STATIC_CONSTEXPR auto input = array<int, 10>{{1, 2, 3, 4, 5, 6, 7, 8, 9, 10}};
SPROUT_STATIC_CONSTEXPR auto result = sprout::is_strictly_increasing(begin(input), end(input));
static_assert(result, "input is strictly increasing.");
Complexity
========================================
| Recursive function invocations in *O(logN)* (logarithmic) depth.
Header
========================================
| ``sprout/algorithm/is_strictly_increasing.hpp``
| Convenience header: ``sprout/algorithm.hpp``

10
docs/libs/sprout/algorithm/index.html
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@ -80,10 +80,10 @@
<ul class="simple">
<li><a class="reference external" href="is_sorted.html"><em>is_sorted</em></a></li>
<li><a class="reference external" href="is_sorted_until.html"><em>is_sorted_until</em></a></li>
<li><tt class="xref docutils literal"><span class="pre">is_increasing</span></tt></li>
<li><tt class="xref docutils literal"><span class="pre">is_decreasing</span></tt></li>
<li><tt class="xref docutils literal"><span class="pre">is_strictly_increasing</span></tt></li>
<li><tt class="xref docutils literal"><span class="pre">is_strictly_decreasing</span></tt></li>
<li><a class="reference external" href="is_increasing.html"><em>is_increasing</em></a></li>
<li><a class="reference external" href="is_decreasing.html"><em>is_decreasing</em></a></li>
<li><a class="reference external" href="is_strictly_increasing.html"><em>is_strictly_increasing</em></a></li>
<li><a class="reference external" href="is_strictly_decreasing.html"><em>is_strictly_decreasing</em></a></li>
</ul>
</div>
<div class="section" id="binary-search">
@ -98,8 +98,8 @@
<div class="section" id="heap-operations">
<h3>Heap operations<a class="headerlink" href="#heap-operations" title="Permalink to this headline"></a></h3>
<ul class="simple">
<li><tt class="xref docutils literal"><span class="pre">is_heap_until</span></tt></li>
<li><tt class="xref docutils literal"><span class="pre">is_heap</span></tt></li>
<li><tt class="xref docutils literal"><span class="pre">is_heap_until</span></tt></li>
</ul>
</div>
<div class="section" id="minimum-and-maximum">

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<div class="section" id="is-decreasing">
<h1>is_decreasing<a class="headerlink" href="#is-decreasing" title="Permalink to this headline"></a></h1>
<div class="section" id="interface">
<h2>Interface<a class="headerlink" href="#interface" title="Permalink to this headline"></a></h2>
<div class="highlight-c++"><div class="highlight"><pre><span class="k">template</span><span class="o">&lt;</span><span class="k">typename</span> <span class="n">ForwardIterator</span><span class="o">&gt;</span>
<span class="kr">inline</span> <span class="n">SPROUT_CONSTEXPR</span> <span class="kt">bool</span>
<span class="n">is_decreasing</span><span class="p">(</span><span class="n">ForwardIterator</span> <span class="n">first</span><span class="p">,</span> <span class="n">ForwardIterator</span> <span class="n">last</span><span class="p">);</span>
</pre></div>
</div>
</div>
<div class="section" id="returns">
<h2>Returns<a class="headerlink" href="#returns" title="Permalink to this headline"></a></h2>
<div class="line-block">
<div class="line">Same as <tt class="docutils literal"><span class="pre">is_sorted(first,</span> <span class="pre">last,</span> <span class="pre">greater&lt;&gt;())</span></tt>.</div>
</div>
</div>
<div class="section" id="examples">
<h2>Examples<a class="headerlink" href="#examples" title="Permalink to this headline"></a></h2>
<div class="highlight-c++"><div class="highlight"><pre><span class="cp">#include &lt;sprout/algorithm/is_decreasing.hpp&gt;</span>
<span class="cp">#include &lt;sprout/array.hpp&gt;</span>
<span class="cp">#include &lt;sprout/container.hpp&gt;</span>
<span class="k">using</span> <span class="k">namespace</span> <span class="n">sprout</span><span class="p">;</span>
<span class="n">SPROUT_STATIC_CONSTEXPR</span> <span class="k">auto</span> <span class="n">input</span> <span class="o">=</span> <span class="n">array</span><span class="o">&lt;</span><span class="kt">int</span><span class="p">,</span> <span class="mi">10</span><span class="o">&gt;</span><span class="p">{{</span><span class="mi">5</span><span class="p">,</span> <span class="mi">5</span><span class="p">,</span> <span class="mi">4</span><span class="p">,</span> <span class="mi">4</span><span class="p">,</span> <span class="mi">3</span><span class="p">,</span> <span class="mi">3</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="mi">1</span><span class="p">}};</span>
<span class="n">SPROUT_STATIC_CONSTEXPR</span> <span class="k">auto</span> <span class="n">result</span> <span class="o">=</span> <span class="n">sprout</span><span class="o">::</span><span class="n">is_decreasing</span><span class="p">(</span><span class="n">begin</span><span class="p">(</span><span class="n">input</span><span class="p">),</span> <span class="n">end</span><span class="p">(</span><span class="n">input</span><span class="p">));</span>
<span class="n">static_assert</span><span class="p">(</span><span class="n">result</span><span class="p">,</span> <span class="s">&quot;input is decreasing.&quot;</span><span class="p">);</span>
</pre></div>
</div>
</div>
<div class="section" id="complexity">
<h2>Complexity<a class="headerlink" href="#complexity" title="Permalink to this headline"></a></h2>
<div class="line-block">
<div class="line">Recursive function invocations in <em>O(logN)</em> (logarithmic) depth.</div>
</div>
</div>
<div class="section" id="header">
<h2>Header<a class="headerlink" href="#header" title="Permalink to this headline"></a></h2>
<div class="line-block">
<div class="line"><tt class="docutils literal"><span class="pre">sprout/algorithm/is_decreasing.hpp</span></tt></div>
<div class="line">Convenience header: <tt class="docutils literal"><span class="pre">sprout/algorithm.hpp</span></tt></div>
</div>
</div>
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<li><a class="reference external" href="#">is_decreasing</a><ul>
<li><a class="reference external" href="#interface">Interface</a></li>
<li><a class="reference external" href="#returns">Returns</a></li>
<li><a class="reference external" href="#examples">Examples</a></li>
<li><a class="reference external" href="#complexity">Complexity</a></li>
<li><a class="reference external" href="#header">Header</a></li>
</ul>
</li>
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<h4>Previous topic</h4>
<p class="topless"><a href="is_increasing.html"
title="previous chapter">is_increasing</a></p>
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title="next chapter">is_strictly_increasing</a></p>
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<div class="section" id="is-increasing">
<h1>is_increasing<a class="headerlink" href="#is-increasing" title="Permalink to this headline"></a></h1>
<div class="section" id="interface">
<h2>Interface<a class="headerlink" href="#interface" title="Permalink to this headline"></a></h2>
<div class="highlight-c++"><div class="highlight"><pre><span class="k">template</span><span class="o">&lt;</span><span class="k">typename</span> <span class="n">ForwardIterator</span><span class="o">&gt;</span>
<span class="kr">inline</span> <span class="n">SPROUT_CONSTEXPR</span> <span class="kt">bool</span>
<span class="n">is_increasing</span><span class="p">(</span><span class="n">ForwardIterator</span> <span class="n">first</span><span class="p">,</span> <span class="n">ForwardIterator</span> <span class="n">last</span><span class="p">);</span>
</pre></div>
</div>
</div>
<div class="section" id="returns">
<h2>Returns<a class="headerlink" href="#returns" title="Permalink to this headline"></a></h2>
<div class="line-block">
<div class="line">Same as <tt class="docutils literal"><span class="pre">is_sorted(first,</span> <span class="pre">last,</span> <span class="pre">less&lt;&gt;())</span></tt>.</div>
</div>
</div>
<div class="section" id="examples">
<h2>Examples<a class="headerlink" href="#examples" title="Permalink to this headline"></a></h2>
<div class="highlight-c++"><div class="highlight"><pre><span class="cp">#include &lt;sprout/algorithm/is_increasing.hpp&gt;</span>
<span class="cp">#include &lt;sprout/array.hpp&gt;</span>
<span class="cp">#include &lt;sprout/container.hpp&gt;</span>
<span class="k">using</span> <span class="k">namespace</span> <span class="n">sprout</span><span class="p">;</span>
<span class="n">SPROUT_STATIC_CONSTEXPR</span> <span class="k">auto</span> <span class="n">input</span> <span class="o">=</span> <span class="n">array</span><span class="o">&lt;</span><span class="kt">int</span><span class="p">,</span> <span class="mi">10</span><span class="o">&gt;</span><span class="p">{{</span><span class="mi">1</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="mi">3</span><span class="p">,</span> <span class="mi">3</span><span class="p">,</span> <span class="mi">4</span><span class="p">,</span> <span class="mi">4</span><span class="p">,</span> <span class="mi">5</span><span class="p">,</span> <span class="mi">5</span><span class="p">}};</span>
<span class="n">SPROUT_STATIC_CONSTEXPR</span> <span class="k">auto</span> <span class="n">result</span> <span class="o">=</span> <span class="n">sprout</span><span class="o">::</span><span class="n">is_increasing</span><span class="p">(</span><span class="n">begin</span><span class="p">(</span><span class="n">input</span><span class="p">),</span> <span class="n">end</span><span class="p">(</span><span class="n">input</span><span class="p">));</span>
<span class="n">static_assert</span><span class="p">(</span><span class="n">result</span><span class="p">,</span> <span class="s">&quot;input is increasing.&quot;</span><span class="p">);</span>
</pre></div>
</div>
</div>
<div class="section" id="complexity">
<h2>Complexity<a class="headerlink" href="#complexity" title="Permalink to this headline"></a></h2>
<div class="line-block">
<div class="line">Recursive function invocations in <em>O(logN)</em> (logarithmic) depth.</div>
</div>
</div>
<div class="section" id="header">
<h2>Header<a class="headerlink" href="#header" title="Permalink to this headline"></a></h2>
<div class="line-block">
<div class="line"><tt class="docutils literal"><span class="pre">sprout/algorithm/is_increasing.hpp</span></tt></div>
<div class="line">Convenience header: <tt class="docutils literal"><span class="pre">sprout/algorithm.hpp</span></tt></div>
</div>
</div>
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<ul>
<li><a class="reference external" href="#">is_increasing</a><ul>
<li><a class="reference external" href="#interface">Interface</a></li>
<li><a class="reference external" href="#returns">Returns</a></li>
<li><a class="reference external" href="#examples">Examples</a></li>
<li><a class="reference external" href="#complexity">Complexity</a></li>
<li><a class="reference external" href="#header">Header</a></li>
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<div class="section" id="is-strictly-decreasing">
<h1>is_strictly_decreasing<a class="headerlink" href="#is-strictly-decreasing" title="Permalink to this headline"></a></h1>
<div class="section" id="interface">
<h2>Interface<a class="headerlink" href="#interface" title="Permalink to this headline"></a></h2>
<div class="highlight-c++"><div class="highlight"><pre><span class="k">template</span><span class="o">&lt;</span><span class="k">typename</span> <span class="n">ForwardIterator</span><span class="o">&gt;</span>
<span class="kr">inline</span> <span class="n">SPROUT_CONSTEXPR</span> <span class="kt">bool</span>
<span class="n">is_strictly_decreasing</span><span class="p">(</span><span class="n">ForwardIterator</span> <span class="n">first</span><span class="p">,</span> <span class="n">ForwardIterator</span> <span class="n">last</span><span class="p">);</span>
</pre></div>
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<div class="section" id="returns">
<h2>Returns<a class="headerlink" href="#returns" title="Permalink to this headline"></a></h2>
<div class="line-block">
<div class="line">Same as <tt class="docutils literal"><span class="pre">is_sorted(first,</span> <span class="pre">last,</span> <span class="pre">greater_equal&lt;&gt;())</span></tt>.</div>
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<h2>Examples<a class="headerlink" href="#examples" title="Permalink to this headline"></a></h2>
<div class="highlight-c++"><div class="highlight"><pre><span class="cp">#include &lt;sprout/algorithm/is_strictly_decreasing.hpp&gt;</span>
<span class="cp">#include &lt;sprout/array.hpp&gt;</span>
<span class="cp">#include &lt;sprout/container.hpp&gt;</span>
<span class="k">using</span> <span class="k">namespace</span> <span class="n">sprout</span><span class="p">;</span>
<span class="n">SPROUT_STATIC_CONSTEXPR</span> <span class="k">auto</span> <span class="n">input</span> <span class="o">=</span> <span class="n">array</span><span class="o">&lt;</span><span class="kt">int</span><span class="p">,</span> <span class="mi">10</span><span class="o">&gt;</span><span class="p">{{</span><span class="mi">10</span><span class="p">,</span> <span class="mi">9</span><span class="p">,</span> <span class="mi">8</span><span class="p">,</span> <span class="mi">7</span><span class="p">,</span> <span class="mi">6</span><span class="p">,</span> <span class="mi">5</span><span class="p">,</span> <span class="mi">4</span><span class="p">,</span> <span class="mi">3</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="mi">1</span><span class="p">}};</span>
<span class="n">SPROUT_STATIC_CONSTEXPR</span> <span class="k">auto</span> <span class="n">result</span> <span class="o">=</span> <span class="n">sprout</span><span class="o">::</span><span class="n">is_strictly_decreasing</span><span class="p">(</span><span class="n">begin</span><span class="p">(</span><span class="n">input</span><span class="p">),</span> <span class="n">end</span><span class="p">(</span><span class="n">input</span><span class="p">));</span>
<span class="n">static_assert</span><span class="p">(</span><span class="n">result</span><span class="p">,</span> <span class="s">&quot;input is strictly decreasing.&quot;</span><span class="p">);</span>
</pre></div>
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<div class="section" id="complexity">
<h2>Complexity<a class="headerlink" href="#complexity" title="Permalink to this headline"></a></h2>
<div class="line-block">
<div class="line">Recursive function invocations in <em>O(logN)</em> (logarithmic) depth.</div>
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<div class="line"><tt class="docutils literal"><span class="pre">sprout/algorithm/is_strictly_decreasing.hpp</span></tt></div>
<div class="line">Convenience header: <tt class="docutils literal"><span class="pre">sprout/algorithm.hpp</span></tt></div>
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<li><a class="reference external" href="#examples">Examples</a></li>
<li><a class="reference external" href="#complexity">Complexity</a></li>
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<div class="section" id="is-strictly-increasing">
<h1>is_strictly_increasing<a class="headerlink" href="#is-strictly-increasing" title="Permalink to this headline"></a></h1>
<div class="section" id="interface">
<h2>Interface<a class="headerlink" href="#interface" title="Permalink to this headline"></a></h2>
<div class="highlight-c++"><div class="highlight"><pre><span class="k">template</span><span class="o">&lt;</span><span class="k">typename</span> <span class="n">ForwardIterator</span><span class="o">&gt;</span>
<span class="kr">inline</span> <span class="n">SPROUT_CONSTEXPR</span> <span class="kt">bool</span>
<span class="n">is_strictly_increasing</span><span class="p">(</span><span class="n">ForwardIterator</span> <span class="n">first</span><span class="p">,</span> <span class="n">ForwardIterator</span> <span class="n">last</span><span class="p">);</span>
</pre></div>
</div>
</div>
<div class="section" id="returns">
<h2>Returns<a class="headerlink" href="#returns" title="Permalink to this headline"></a></h2>
<div class="line-block">
<div class="line">Same as <tt class="docutils literal"><span class="pre">is_sorted(first,</span> <span class="pre">last,</span> <span class="pre">less_equal&lt;&gt;())</span></tt>.</div>
</div>
</div>
<div class="section" id="examples">
<h2>Examples<a class="headerlink" href="#examples" title="Permalink to this headline"></a></h2>
<div class="highlight-c++"><div class="highlight"><pre><span class="cp">#include &lt;sprout/algorithm/is_strictly_increasing.hpp&gt;</span>
<span class="cp">#include &lt;sprout/array.hpp&gt;</span>
<span class="cp">#include &lt;sprout/container.hpp&gt;</span>
<span class="k">using</span> <span class="k">namespace</span> <span class="n">sprout</span><span class="p">;</span>
<span class="n">SPROUT_STATIC_CONSTEXPR</span> <span class="k">auto</span> <span class="n">input</span> <span class="o">=</span> <span class="n">array</span><span class="o">&lt;</span><span class="kt">int</span><span class="p">,</span> <span class="mi">10</span><span class="o">&gt;</span><span class="p">{{</span><span class="mi">1</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="mi">3</span><span class="p">,</span> <span class="mi">4</span><span class="p">,</span> <span class="mi">5</span><span class="p">,</span> <span class="mi">6</span><span class="p">,</span> <span class="mi">7</span><span class="p">,</span> <span class="mi">8</span><span class="p">,</span> <span class="mi">9</span><span class="p">,</span> <span class="mi">10</span><span class="p">}};</span>
<span class="n">SPROUT_STATIC_CONSTEXPR</span> <span class="k">auto</span> <span class="n">result</span> <span class="o">=</span> <span class="n">sprout</span><span class="o">::</span><span class="n">is_strictly_increasing</span><span class="p">(</span><span class="n">begin</span><span class="p">(</span><span class="n">input</span><span class="p">),</span> <span class="n">end</span><span class="p">(</span><span class="n">input</span><span class="p">));</span>
<span class="n">static_assert</span><span class="p">(</span><span class="n">result</span><span class="p">,</span> <span class="s">&quot;input is strictly increasing.&quot;</span><span class="p">);</span>
</pre></div>
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<div class="section" id="complexity">
<h2>Complexity<a class="headerlink" href="#complexity" title="Permalink to this headline"></a></h2>
<div class="line-block">
<div class="line">Recursive function invocations in <em>O(logN)</em> (logarithmic) depth.</div>
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<div class="line"><tt class="docutils literal"><span class="pre">sprout/algorithm/is_strictly_increasing.hpp</span></tt></div>
<div class="line">Convenience header: <tt class="docutils literal"><span class="pre">sprout/algorithm.hpp</span></tt></div>
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@ -29,6 +29,10 @@ Sprout.Algorithm
search_n
is_sorted
is_sorted_until
is_increasing
is_decreasing
is_strictly_increasing
is_strictly_decreasing
.. _sprout-algorithm-non_modifying:
*******************************************************************************
@ -81,8 +85,8 @@ Binary search
Heap operations
========================================
* :doc:`is_heap_until <./is_heap_until>`
* :doc:`is_heap <./is_heap>`
* :doc:`is_heap_until <./is_heap_until>`
.. _sprout-algorithm-non_modifying-minmax:
Minimum and maximum

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@ -0,0 +1,42 @@
.. _sprout-algorithm-is_decreasing:
###############################################################################
is_decreasing
###############################################################################
Interface
========================================
.. sourcecode:: c++
template<typename ForwardIterator>
inline SPROUT_CONSTEXPR bool
is_decreasing(ForwardIterator first, ForwardIterator last);
Returns
========================================
| Same as ``is_sorted(first, last, greater<>())``.
Examples
========================================
.. sourcecode:: c++
#include <sprout/algorithm/is_decreasing.hpp>
#include <sprout/array.hpp>
#include <sprout/container.hpp>
using namespace sprout;
SPROUT_STATIC_CONSTEXPR auto input = array<int, 10>{{5, 5, 4, 4, 3, 3, 2, 2, 1, 1}};
SPROUT_STATIC_CONSTEXPR auto result = sprout::is_decreasing(begin(input), end(input));
static_assert(result, "input is decreasing.");
Complexity
========================================
| Recursive function invocations in *O(logN)* (logarithmic) depth.
Header
========================================
| ``sprout/algorithm/is_decreasing.hpp``
| Convenience header: ``sprout/algorithm.hpp``

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.. _sprout-algorithm-is_increasing:
###############################################################################
is_increasing
###############################################################################
Interface
========================================
.. sourcecode:: c++
template<typename ForwardIterator>
inline SPROUT_CONSTEXPR bool
is_increasing(ForwardIterator first, ForwardIterator last);
Returns
========================================
| Same as ``is_sorted(first, last, less<>())``.
Examples
========================================
.. sourcecode:: c++
#include <sprout/algorithm/is_increasing.hpp>
#include <sprout/array.hpp>
#include <sprout/container.hpp>
using namespace sprout;
SPROUT_STATIC_CONSTEXPR auto input = array<int, 10>{{1, 1, 2, 2, 3, 3, 4, 4, 5, 5}};
SPROUT_STATIC_CONSTEXPR auto result = sprout::is_increasing(begin(input), end(input));
static_assert(result, "input is increasing.");
Complexity
========================================
| Recursive function invocations in *O(logN)* (logarithmic) depth.
Header
========================================
| ``sprout/algorithm/is_increasing.hpp``
| Convenience header: ``sprout/algorithm.hpp``

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.. _sprout-algorithm-is_strictly_decreasing:
###############################################################################
is_strictly_decreasing
###############################################################################
Interface
========================================
.. sourcecode:: c++
template<typename ForwardIterator>
inline SPROUT_CONSTEXPR bool
is_strictly_decreasing(ForwardIterator first, ForwardIterator last);
Returns
========================================
| Same as ``is_sorted(first, last, greater_equal<>())``.
Examples
========================================
.. sourcecode:: c++
#include <sprout/algorithm/is_strictly_decreasing.hpp>
#include <sprout/array.hpp>
#include <sprout/container.hpp>
using namespace sprout;
SPROUT_STATIC_CONSTEXPR auto input = array<int, 10>{{10, 9, 8, 7, 6, 5, 4, 3, 2, 1}};
SPROUT_STATIC_CONSTEXPR auto result = sprout::is_strictly_decreasing(begin(input), end(input));
static_assert(result, "input is strictly decreasing.");
Complexity
========================================
| Recursive function invocations in *O(logN)* (logarithmic) depth.
Header
========================================
| ``sprout/algorithm/is_strictly_decreasing.hpp``
| Convenience header: ``sprout/algorithm.hpp``

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.. _sprout-algorithm-is_strictly_increasing:
###############################################################################
is_strictly_increasing
###############################################################################
Interface
========================================
.. sourcecode:: c++
template<typename ForwardIterator>
inline SPROUT_CONSTEXPR bool
is_strictly_increasing(ForwardIterator first, ForwardIterator last);
Returns
========================================
| Same as ``is_sorted(first, last, less_equal<>())``.
Examples
========================================
.. sourcecode:: c++
#include <sprout/algorithm/is_strictly_increasing.hpp>
#include <sprout/array.hpp>
#include <sprout/container.hpp>
using namespace sprout;
SPROUT_STATIC_CONSTEXPR auto input = array<int, 10>{{1, 2, 3, 4, 5, 6, 7, 8, 9, 10}};
SPROUT_STATIC_CONSTEXPR auto result = sprout::is_strictly_increasing(begin(input), end(input));
static_assert(result, "input is strictly increasing.");
Complexity
========================================
| Recursive function invocations in *O(logN)* (logarithmic) depth.
Header
========================================
| ``sprout/algorithm/is_strictly_increasing.hpp``
| Convenience header: ``sprout/algorithm.hpp``