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Posted to commits@mesos.apache.org by gi...@apache.org on 2018/06/11 14:11:51 UTC

[07/20] mesos-site git commit: Updated the website built from mesos SHA: b1e88f7.

http://git-wip-us.apache.org/repos/asf/mesos-site/blob/0df7420a/content/api/latest/c++/timeseries_8hpp_source.html
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 <div class="title">timeseries.hpp</div>  </div>
 </div><!--header-->
 <div class="contents">
-<a href="timeseries_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="comment">// Licensed under the Apache License, Version 2.0 (the &quot;License&quot;);</span></div><div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="comment">// you may not use this file except in compliance with the License.</span></div><div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="comment">// You may obtain a copy of the License at</span></div><div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="comment">//     http://www.apache.org/licenses/LICENSE-2.0</span></div><div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="comment">//
 </span></div><div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="comment">// Unless required by applicable law or agreed to in writing, software</span></div><div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="comment">// distributed under the License is distributed on an &quot;AS IS&quot; BASIS,</span></div><div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="comment">// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.</span></div><div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="comment">// See the License for the specific language governing permissions and</span></div><div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="comment">// limitations under the License</span></div><div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;</div><div class
 ="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#ifndef __PROCESS_TIMESERIES_HPP__</span></div><div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#define __PROCESS_TIMESERIES_HPP__</span></div><div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;</div><div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;algorithm&gt;</span> <span class="comment">// For max.</span></div><div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;map&gt;</span></div><div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div><div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;</div><div class="line"><a name="l00020"></a><span class="lineno">   20</span
 >&#160;<span class="preprocessor">#include &lt;<a class="code" href="clock_8hpp.html">process/clock.hpp</a>&gt;</span></div><div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="time_8hpp.html">process/time.hpp</a>&gt;</span></div><div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;</div><div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="duration_8hpp.html">stout/duration.hpp</a>&gt;</span></div><div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="none_8hpp.html">stout/none.hpp</a>&gt;</span></div><div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="option_8hpp.html">stout/option.hpp</a>&gt;</span></div><div class=
 "line"><a name="l00026"></a><span class="lineno">   26</span>&#160;</div><div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespaceprocess.html">process</a> {</div><div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;</div><div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;<span class="comment">// Default statistic configuration variables.</span></div><div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;<span class="comment">// TODO(bmahler): It appears there may be a bug with gcc-4.1.2 in</span></div><div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;<span class="comment">// which these duration constants were not being initialized when</span></div><div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;<span class="comment">// having static linkage. This issue did not 
 manifest in newer gcc&#39;s.</span></div><div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;<span class="comment">// Specifically, 4.2.1 was ok. So we&#39;ve moved these to have external</span></div><div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;<span class="comment">// linkage but perhaps in the future we can revert this.</span></div><div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;<span class="keyword">extern</span> <span class="keyword">const</span> <a class="code" href="classDuration.html">Duration</a> <a class="code" href="namespaceprocess.html#a1865c52e226d6f280d63dd80884dd959">TIME_SERIES_WINDOW</a>;</div><div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;<span class="keyword">extern</span> <span class="keyword">const</span> <span class="keywordtype">size_t</span> <a class="code" href="namespaceprocess.html#a242c384165e598356687505925d93a6e">TIME_SERIES_CAPACITY</
 a>;</div><div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;</div><div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;</div><div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;<span class="comment">// Provides an in-memory time series of statistics over some window.</span></div><div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;<span class="comment">// When the time series capacity is exceeded within the window, the</span></div><div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;<span class="comment">// granularity of older values is coarsened. This means, for</span></div><div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;<span class="comment">// high-frequency statistics that exceed the capacity, we keep a lot</span></div><div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;<span class="comment">// of
  recent data points (fine granularity), and keep fewer older</span></div><div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;<span class="comment">// data points (coarse granularity). The tunable bit here is the</span></div><div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;<span class="comment">// total number of data points to keep around, which informs how</span></div><div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;<span class="comment">// often to delete older data points, while still keeping a window</span></div><div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;<span class="comment">// worth of data.</span></div><div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;<span class="comment">// TODO(bmahler): Investigate using Google&#39;s btree implementation.</span></div><div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;
 <span class="comment">// This provides better insertion and lookup performance for large</span></div><div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;<span class="comment">// containers. This _should_ also provide significant memory</span></div><div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;<span class="comment">// savings. These are true because we have the following properties:</span></div><div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;<span class="comment">//   1. Our insertion order will mostly be in sorted order.</span></div><div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;<span class="comment">//   2. Our keys (Seconds) have efficient comparison operators.</span></div><div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;<span class="comment">// See: http://code.google.com/p/cpp-btree/</span></div><div class="line"><a name="l00055"></a
 ><span class="lineno">   55</span>&#160;<span class="comment">//      http://code.google.com/p/cpp-btree/wiki/UsageInstructions</span></div><div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div><div class="line"><a name="l00057"></a><span class="lineno"><a class="line" href="structprocess_1_1TimeSeries.html">   57</a></span>&#160;<span class="keyword">struct </span><a class="code" href="structprocess_1_1TimeSeries.html">TimeSeries</a></div><div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;{</div><div class="line"><a name="l00059"></a><span class="lineno"><a class="line" href="structprocess_1_1TimeSeries.html#a8fd91415653d305e8793416f8c4ff797">   59</a></span>&#160;  <a class="code" href="structprocess_1_1TimeSeries.html#a8fd91415653d305e8793416f8c4ff797">TimeSeries</a>(<span class="keyword">const</span> <a class="code" href="classDuration.htm
 l">Duration</a>&amp; _window = TIME_SERIES_WINDOW,</div><div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;             <span class="keywordtype">size_t</span> _capacity = TIME_SERIES_CAPACITY)</div><div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;    : window(_window),</div><div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <span class="comment">// The truncation technique requires at least 3 elements.</span></div><div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      capacity(<a class="code" href="namespacestd.html">std</a>::<a class="code" href="option_8hpp.html#ac4b53d77033a5d2405ef12ceb3dc6498">max</a>((size_t) 3, _capacity)) {}</div><div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;</div><div class="line"><a name="l00065"></a><span class="lineno"><a class="line" href="structprocess_1_1TimeSeries_1_1Value.html">   65</a></span>&#160; 
  <span class="keyword">struct </span><a class="code" href="structprocess_1_1TimeSeries_1_1Value.html">Value</a></div><div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;  {</div><div class="line"><a name="l00067"></a><span class="lineno"><a class="line" href="structprocess_1_1TimeSeries_1_1Value.html#aa79af31717d87775443d28f7534159e6">   67</a></span>&#160;    <a class="code" href="structprocess_1_1TimeSeries_1_1Value.html#aa79af31717d87775443d28f7534159e6">Value</a>(<span class="keyword">const</span> <a class="code" href="classprocess_1_1Time.html">Time</a>&amp; _time, <span class="keyword">const</span> T&amp; _data) : <a class="code" href="structprocess_1_1TimeSeries_1_1Value.html#aff33299570156c9c804f0d5a5fa3ff7e">time</a>(_time), <a class="code" href="structprocess_1_1TimeSeries_1_1Value.html#a3a4ce139e59cd0cae4324bc9a07e28a7">data</a>(_data) {}</div><div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;</div><div class="line"><a
  name="l00069"></a><span class="lineno">   69</span>&#160;    <span class="comment">// Non-const for assignability.</span></div><div class="line"><a name="l00070"></a><span class="lineno"><a class="line" href="structprocess_1_1TimeSeries_1_1Value.html#aff33299570156c9c804f0d5a5fa3ff7e">   70</a></span>&#160;    <a class="code" href="classprocess_1_1Time.html">Time</a> <a class="code" href="structprocess_1_1TimeSeries_1_1Value.html#aff33299570156c9c804f0d5a5fa3ff7e">time</a>;</div><div class="line"><a name="l00071"></a><span class="lineno"><a class="line" href="structprocess_1_1TimeSeries_1_1Value.html#a3a4ce139e59cd0cae4324bc9a07e28a7">   71</a></span>&#160;    T <a class="code" href="structprocess_1_1TimeSeries_1_1Value.html#a3a4ce139e59cd0cae4324bc9a07e28a7">data</a>;</div><div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;  };</div><div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;</div><div class="line"><a name="l00074"></a>
 <span class="lineno"><a class="line" href="structprocess_1_1TimeSeries.html#a32ad80193e5138cd76086f01ecbaf1ed">   74</a></span>&#160;  <span class="keywordtype">void</span> <span class="keyword">set</span>(<span class="keyword">const</span> T&amp; value, <span class="keyword">const</span> <a class="code" href="classprocess_1_1Time.html">Time</a>&amp; <a class="code" href="structprocess_1_1TimeSeries_1_1Value.html#aff33299570156c9c804f0d5a5fa3ff7e">time</a> = <a class="code" href="classprocess_1_1Clock.html#a24ed3f746bb6b3ddb1c52dce5e0ecd38">Clock::now</a>())</div><div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;  {</div><div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;    <span class="comment">// If we&#39;re not inserting at the end of the time series, then</span></div><div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;    <span class="comment">// we have to reset the sparsification index. Given th
 at</span></div><div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;    <span class="comment">// out-of-order insertion is a rare use-case. This is a simple way</span></div><div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;    <span class="comment">// to keep insertions O(log(n)). No need to figure out how to</span></div><div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;    <span class="comment">// adjust the truncation index.</span></div><div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;    <span class="keywordflow">if</span> (!values.empty() &amp;&amp; time &lt; values.rbegin()-&gt;first) {</div><div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;      index = <a class="code" href="structNone.html">None</a>();</div><div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;    }</div><div class="line"><a name="l00084"></a><span c
 lass="lineno">   84</span>&#160;</div><div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;    values[<a class="code" href="structprocess_1_1TimeSeries_1_1Value.html#aff33299570156c9c804f0d5a5fa3ff7e">time</a>] = value;</div><div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;    <a class="code" href="structprocess_1_1TimeSeries.html#af0f0682a40225778f4c4c931a1380f0e">truncate</a>();</div><div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;    sparsify();</div><div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;  }</div><div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;</div><div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;  <span class="comment">// Returns the time series within the (optional) time range.</span></div><div class="line"><a name="l00091"></a><span class="lineno"><a class="line" href="structprocess_1_1TimeSeries
 .html#a17657ae4751e17ad24c890c8e4dfd2f9">   91</a></span>&#160;  std::vector&lt;Value&gt; <span class="keyword">get</span>(</div><div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;      <span class="keyword">const</span> <a class="code" href="classOption.html">Option&lt;Time&gt;</a>&amp; <a class="code" href="namespacesystemd_1_1slices.html#a95aa197d8eed9f20dacb44f433b15f01">start</a> = <a class="code" href="structNone.html">None</a>(),</div><div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;      <span class="keyword">const</span> <a class="code" href="classOption.html">Option&lt;Time&gt;</a>&amp; stop = <a class="code" href="structNone.html">None</a>()) <span class="keyword">const</span></div><div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;  {</div><div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;    <span class="comment">// Ignore invalid ranges.</span></div><div class
 ="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;    <span class="keywordflow">if</span> (start.isSome() &amp;&amp; stop.<a class="code" href="classOption.html#a4e3bf8416d95246f43c91f1b5c309323">isSome</a>() &amp;&amp; start.get() &gt; stop.<a class="code" href="classOption.html#a21358442c0fac1cc978a67a9a9089a79">get</a>()) {</div><div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;      <span class="keywordflow">return</span> std::vector&lt;Value&gt;();</div><div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;    }</div><div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;</div><div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;    <span class="keyword">typename</span> std::map&lt;Time, T&gt;::const_iterator <a class="code" href="namespacestrings.html#a66b9edbbfb1f158b6c420367a1457a0b">lower</a> = values.lower_bound(</div><div class="line"><a name="l00101"></a>
 <span class="lineno">  101</span>&#160;        start.isSome() ? start.get() : <a class="code" href="classprocess_1_1Time.html#adaf82d5f3d8c886ce04dd87fdd639959">Time::epoch</a>());</div><div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;</div><div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;    <span class="keyword">typename</span> std::map&lt;Time, T&gt;::const_iterator <a class="code" href="namespacestrings.html#a69f3467801285caf9a9e04929ff33cee">upper</a> = values.upper_bound(</div><div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;        stop.<a class="code" href="classOption.html#a4e3bf8416d95246f43c91f1b5c309323">isSome</a>() ? stop.<a class="code" href="classOption.html#a21358442c0fac1cc978a67a9a9089a79">get</a>() : <a class="code" href="classprocess_1_1Time.html#a45c081fba8c8a6c2e0d6c30580d95645">Time::max</a>());</div><div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#
 160;</div><div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;    std::vector&lt;Value&gt; values;</div><div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;    <span class="keywordflow">while</span> (lower != upper) {</div><div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;      values.push_back(<a class="code" href="structprocess_1_1TimeSeries_1_1Value.html#aa79af31717d87775443d28f7534159e6">Value</a>(lower-&gt;first, lower-&gt;second));</div><div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;      ++<a class="code" href="namespacestrings.html#a66b9edbbfb1f158b6c420367a1457a0b">lower</a>;</div><div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;    }</div><div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;    <span class="keywordflow">return</span> values;</div><div class="line"><a name="l00112"></a><span class="lineno">  112
 </span>&#160;  }</div><div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;</div><div class="line"><a name="l00114"></a><span class="lineno"><a class="line" href="structprocess_1_1TimeSeries.html#ab9d8e976e89fb5a5539e1fe83f17f3dd">  114</a></span>&#160;  <a class="code" href="classOption.html">Option&lt;Value&gt;</a> <a class="code" href="structprocess_1_1TimeSeries.html#ab9d8e976e89fb5a5539e1fe83f17f3dd">latest</a>()<span class="keyword"> const</span></div><div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;<span class="keyword">  </span>{</div><div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;    <span class="keywordflow">if</span> (<a class="code" href="structprocess_1_1TimeSeries.html#a71832c3c13f993378d355d3f9330cc14">empty</a>()) {</div><div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="structNone.html">No
 ne</a>();</div><div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;    }</div><div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;</div><div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;    <span class="keywordflow">return</span> <a class="code" href="structprocess_1_1TimeSeries_1_1Value.html#aa79af31717d87775443d28f7534159e6">Value</a>(values.rbegin()-&gt;first, values.rbegin()-&gt;second);</div><div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;  }</div><div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;</div><div class="line"><a name="l00123"></a><span class="lineno"><a class="line" href="structprocess_1_1TimeSeries.html#a71832c3c13f993378d355d3f9330cc14">  123</a></span>&#160;  <span class="keywordtype">bool</span> <a class="code" href="structprocess_1_1TimeSeries.html#a71832c3c13f993378d355d3f9330cc14">empty</a>()<span class="keyword"> const </sp
 an>{ <span class="keywordflow">return</span> values.empty(); }</div><div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;</div><div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;  <span class="comment">// Removes values outside the time window. This will ensure at</span></div><div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;  <span class="comment">// least one value remains. Note that this is called automatically</span></div><div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;  <span class="comment">// when writing to the time series, so this is only needed when</span></div><div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;  <span class="comment">// one wants to explicitly trigger a truncation.</span></div><div class="line"><a name="l00129"></a><span class="lineno"><a class="line" href="structprocess_1_1TimeSeries.html#af0f0682a40225778f4c4c931a1380f
 0e">  129</a></span>&#160;  <span class="keywordtype">void</span> <a class="code" href="structprocess_1_1TimeSeries.html#af0f0682a40225778f4c4c931a1380f0e">truncate</a>()</div><div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;  {</div><div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;    <a class="code" href="classprocess_1_1Time.html">Time</a> <a class="code" href="namespaceprocess_1_1internal.html#a64e590c9a40c4ead4b969d6a64cd8181">expired</a> = <a class="code" href="classprocess_1_1Clock.html#a24ed3f746bb6b3ddb1c52dce5e0ecd38">Clock::now</a>() - window;</div><div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;    <span class="keyword">typename</span> std::map&lt;Time, T&gt;::iterator upper_bound =</div><div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;      values.upper_bound(expired);</div><div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;</di
 v><div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;    <span class="comment">// Ensure at least 1 value remains.</span></div><div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;    <span class="keywordflow">if</span> (values.size() &lt;= 1 || upper_bound == values.end()) {</div><div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;      <span class="keywordflow">return</span>;</div><div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;    }</div><div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;</div><div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;    <span class="comment">// When truncating and there exists a next value considered</span></div><div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;    <span class="comment">// for sparsification, there are two cases to consider for</span></div><div clas
 s="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;    <span class="comment">// updating the index:</span></div><div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;    <span class="comment">//</span></div><div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;    <span class="comment">// Case 1: upper_bound &lt; next</span></div><div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;    <span class="comment">//   ----------------------------------------------------------</span></div><div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;    <span class="comment">//       upper_bound index, next</span></div><div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;    <span class="comment">//                 v v</span></div><div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;    <span class="comment">//   Before: 0 1 2 3 4 5 6 
 7 ...</span></div><div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;    <span class="comment">//   ----------------------------------------------------------</span></div><div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;    <span class="comment">//                 next  index    After truncating, index is</span></div><div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;    <span class="comment">//                   v     v      must be adjusted:</span></div><div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;    <span class="comment">//   Truncate:     3 4 5 6 7 ...  index -= # elements removed</span></div><div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;    <span class="comment">//   ----------------------------------------------------------</span></div><div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;    <span class="c
 omment">//              index, next</span></div><div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;    <span class="comment">//                   v</span></div><div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;    <span class="comment">//   After:        3 4 5 6 7 ...</span></div><div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;    <span class="comment">//   ----------------------------------------------------------</span></div><div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;    <span class="comment">//</span></div><div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;    <span class="comment">// Case 2: upper_bound &gt;= next</span></div><div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;    <span class="comment">//   ----------------------------------------------------------</span></div><div class="line"><a name="l0016
 1"></a><span class="lineno">  161</span>&#160;    <span class="comment">//                   upper_bound, index, next</span></div><div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;    <span class="comment">//                   v</span></div><div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;    <span class="comment">//   Before: 0 1 2 3 4 5 6 7 ...</span></div><div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;    <span class="comment">//   ----------------------------------------------------------</span></div><div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;    <span class="comment">//                               After truncating, we must</span></div><div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;    <span class="comment">//   After:          4 5 6 7 ... reset index to None().</span></div><div class="line"><a name="l00167"></a><span class="
 lineno">  167</span>&#160;    <span class="comment">//   ----------------------------------------------------------</span></div><div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;    <span class="keywordflow">if</span> (index.isSome() &amp;&amp; upper_bound-&gt;first &lt; next-&gt;first) {</div><div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;      <span class="keywordtype">size_t</span> <a class="code" href="namespaceos_1_1stat.html#a7a116891923bc8b5d8c50f78da8657be">size</a> = values.size();</div><div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;      values.erase(values.begin(), upper_bound);</div><div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;      index = index.get() - (size - values.size());</div><div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;    } <span class="keywordflow">else</span> {</div><div class="line"><a name="l00173"></a><s
 pan class="lineno">  173</span>&#160;      index = <a class="code" href="structNone.html">None</a>();</div><div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;      values.erase(values.begin(), upper_bound);</div><div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;    }</div><div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;  }</div><div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160;</div><div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160;<span class="keyword">private</span>:</div><div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160;  <span class="comment">// Performs &quot;sparsification&quot; to limit the size of the time series</span></div><div class="line"><a name="l00180"></a><span class="lineno">  180</span>&#160;  <span class="comment">// to be within the capacity.</span></div><div class="line"><a name="l00181"></a><spa
 n class="lineno">  181</span>&#160;  <span class="comment">//</span></div><div class="line"><a name="l00182"></a><span class="lineno">  182</span>&#160;  <span class="comment">// The sparsifying technique is to iteratively halve the granularity</span></div><div class="line"><a name="l00183"></a><span class="lineno">  183</span>&#160;  <span class="comment">// of the older half of the time series. Once sparsification reaches</span></div><div class="line"><a name="l00184"></a><span class="lineno">  184</span>&#160;  <span class="comment">// the midpoint of the time series, it begins again from the</span></div><div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160;  <span class="comment">// beginning.</span></div><div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;  <span class="comment">//</span></div><div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;  <span class="comment">// Sparsification results in the fo
 llowing granularity over time:</span></div><div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;  <span class="comment">// Initial: | ------------------------ A -------------------- |</span></div><div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;  <span class="comment">// Stage 1: | ------- 1/2 A ---------- | -------- B --------- |</span></div><div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160;  <span class="comment">// Stage 2: | -- 1/4A --- | -- 1/2B -- | -------- C --------- |</span></div><div class="line"><a name="l00191"></a><span class="lineno">  191</span>&#160;  <span class="comment">// Stage 3: | 1/8A | 1/4B | -- 1/2C -- | -------- D --------- |</span></div><div class="line"><a name="l00192"></a><span class="lineno">  192</span>&#160;  <span class="comment">//     ...</span></div><div class="line"><a name="l00193"></a><span class="lineno">  193</span>&#160;  <span class="comment">//</span></div>
 <div class="line"><a name="l00194"></a><span class="lineno">  194</span>&#160;  <span class="comment">// Each stage halves the size and granularity of time series prior</span></div><div class="line"><a name="l00195"></a><span class="lineno">  195</span>&#160;  <span class="comment">// to sparsifying.</span></div><div class="line"><a name="l00196"></a><span class="lineno">  196</span>&#160;  <span class="keywordtype">void</span> sparsify()</div><div class="line"><a name="l00197"></a><span class="lineno">  197</span>&#160;  {</div><div class="line"><a name="l00198"></a><span class="lineno">  198</span>&#160;    <span class="comment">// We remove every other element up to the halfway point of the</span></div><div class="line"><a name="l00199"></a><span class="lineno">  199</span>&#160;    <span class="comment">// time series, until we&#39;re within the capacity. If we reach the</span></div><div class="line"><a name="l00200"></a><span class="lineno">  200</span>&#160;    <span class="co
 mment">// half-way point of the time series, we&#39;ll start another</span></div><div class="line"><a name="l00201"></a><span class="lineno">  201</span>&#160;    <span class="comment">// sparsification cycle from the beginning, for example:</span></div><div class="line"><a name="l00202"></a><span class="lineno">  202</span>&#160;    <span class="comment">//</span></div><div class="line"><a name="l00203"></a><span class="lineno">  203</span>&#160;    <span class="comment">// next             Time series with a capacity of 7.</span></div><div class="line"><a name="l00204"></a><span class="lineno">  204</span>&#160;    <span class="comment">//   v              Initial state with 7 entries</span></div><div class="line"><a name="l00205"></a><span class="lineno">  205</span>&#160;    <span class="comment">// 0 1 2 3 4 5 6</span></div><div class="line"><a name="l00206"></a><span class="lineno">  206</span>&#160;    <span class="comment">//</span></div><div class="line"><a name="l00207"></
 a><span class="lineno">  207</span>&#160;    <span class="comment">//   next           Insert &#39;7&#39;.</span></div><div class="line"><a name="l00208"></a><span class="lineno">  208</span>&#160;    <span class="comment">//     v            Capacity is exceeded, we remove &#39;1&#39; and</span></div><div class="line"><a name="l00209"></a><span class="lineno">  209</span>&#160;    <span class="comment">// 0 2 3 4 5 6 7    advance to remove &#39;3&#39; next.</span></div><div class="line"><a name="l00210"></a><span class="lineno">  210</span>&#160;    <span class="comment">//</span></div><div class="line"><a name="l00211"></a><span class="lineno">  211</span>&#160;    <span class="comment">//     next         Insert &#39;8&#39;.</span></div><div class="line"><a name="l00212"></a><span class="lineno">  212</span>&#160;    <span class="comment">//       v          Capacity is exceeded, we remove &#39;3&#39; and</span></div><div class="line"><a name="l00213"></a><span class="lineno">  2
 13</span>&#160;    <span class="comment">// 0 2 4 5 6 7 8    advance to remove &#39;5&#39; next.</span></div><div class="line"><a name="l00214"></a><span class="lineno">  214</span>&#160;    <span class="comment">//</span></div><div class="line"><a name="l00215"></a><span class="lineno">  215</span>&#160;    <span class="comment">// next             Insert &#39;9&#39;.</span></div><div class="line"><a name="l00216"></a><span class="lineno">  216</span>&#160;    <span class="comment">//   v              Capacity is exceeded, we remove &#39;5&#39; and now</span></div><div class="line"><a name="l00217"></a><span class="lineno">  217</span>&#160;    <span class="comment">// 0 2 4 6 7 8 9    &#39;7&#39; is past the halfway mark, so we will reset</span></div><div class="line"><a name="l00218"></a><span class="lineno">  218</span>&#160;    <span class="comment">//                  reset to the beginning and consider &#39;2&#39;.</span></div><div class="line"><a name="l00219"></a><span clas
 s="lineno">  219</span>&#160;</div><div class="line"><a name="l00220"></a><span class="lineno">  220</span>&#160;    <span class="keywordflow">while</span> (values.size() &gt; capacity) {</div><div class="line"><a name="l00221"></a><span class="lineno">  221</span>&#160;      <span class="comment">// If the index is uninitialized, or past the half-way point,</span></div><div class="line"><a name="l00222"></a><span class="lineno">  222</span>&#160;      <span class="comment">// we set it back to the beginning.</span></div><div class="line"><a name="l00223"></a><span class="lineno">  223</span>&#160;      <span class="keywordflow">if</span> (index.isNone() || index.get() &gt; values.size() / 2) {</div><div class="line"><a name="l00224"></a><span class="lineno">  224</span>&#160;        <span class="comment">// The second element is the initial deletion candidate.</span></div><div class="line"><a name="l00225"></a><span class="lineno">  225</span>&#160;        next = values.begin();</d
 iv><div class="line"><a name="l00226"></a><span class="lineno">  226</span>&#160;        ++next;</div><div class="line"><a name="l00227"></a><span class="lineno">  227</span>&#160;        index = 1;</div><div class="line"><a name="l00228"></a><span class="lineno">  228</span>&#160;      }</div><div class="line"><a name="l00229"></a><span class="lineno">  229</span>&#160;</div><div class="line"><a name="l00230"></a><span class="lineno">  230</span>&#160;      next = values.erase(next);</div><div class="line"><a name="l00231"></a><span class="lineno">  231</span>&#160;      next++; <span class="comment">// Skip one element.</span></div><div class="line"><a name="l00232"></a><span class="lineno">  232</span>&#160;      index = index.get() + 1;</div><div class="line"><a name="l00233"></a><span class="lineno">  233</span>&#160;    }</div><div class="line"><a name="l00234"></a><span class="lineno">  234</span>&#160;  }</div><div class="line"><a name="l00235"></a><span class="lineno">  235
 </span>&#160;</div><div class="line"><a name="l00236"></a><span class="lineno">  236</span>&#160;  <span class="comment">// Non-const for assignability.</span></div><div class="line"><a name="l00237"></a><span class="lineno">  237</span>&#160;  <a class="code" href="classDuration.html">Duration</a> window;</div><div class="line"><a name="l00238"></a><span class="lineno">  238</span>&#160;  <span class="keywordtype">size_t</span> capacity;</div><div class="line"><a name="l00239"></a><span class="lineno">  239</span>&#160;</div><div class="line"><a name="l00240"></a><span class="lineno">  240</span>&#160;  <span class="comment">// We use a map instead of a hashmap to store the values because</span></div><div class="line"><a name="l00241"></a><span class="lineno">  241</span>&#160;  <span class="comment">// that way we can retrieve a series in sorted order efficiently.</span></div><div class="line"><a name="l00242"></a><span class="lineno">  242</span>&#160;  std::map&lt;Time, T&gt; va
 lues;</div><div class="line"><a name="l00243"></a><span class="lineno">  243</span>&#160;</div><div class="line"><a name="l00244"></a><span class="lineno">  244</span>&#160;  <span class="comment">// Next deletion candidate. We store both the iterator and index.</span></div><div class="line"><a name="l00245"></a><span class="lineno">  245</span>&#160;  <span class="comment">// The index is None initially, and whenever a value is appended</span></div><div class="line"><a name="l00246"></a><span class="lineno">  246</span>&#160;  <span class="comment">// out-of-order. This means &#39;next&#39; is only valid when &#39;index&#39; is</span></div><div class="line"><a name="l00247"></a><span class="lineno">  247</span>&#160;  <span class="comment">// Some.</span></div><div class="line"><a name="l00248"></a><span class="lineno">  248</span>&#160;  <span class="keyword">typename</span> std::map&lt;Time, T&gt;::iterator next;</div><div class="line"><a name="l00249"></a><span class="lineno">  
 249</span>&#160;  <a class="code" href="classOption.html">Option&lt;size_t&gt;</a> index;</div><div class="line"><a name="l00250"></a><span class="lineno">  250</span>&#160;};</div><div class="line"><a name="l00251"></a><span class="lineno">  251</span>&#160;</div><div class="line"><a name="l00252"></a><span class="lineno">  252</span>&#160;} <span class="comment">// namespace process {</span></div><div class="line"><a name="l00253"></a><span class="lineno">  253</span>&#160;</div><div class="line"><a name="l00254"></a><span class="lineno">  254</span>&#160;<span class="preprocessor">#endif // __PROCESS_TIMESERIES_HPP__</span></div><div class="ttc" id="classOption_html"><div class="ttname"><a href="classOption.html">Option</a></div><div class="ttdef"><b>Definition:</b> option.hpp:28</div></div>
-<div class="ttc" id="namespaceos_1_1stat_html_a7a116891923bc8b5d8c50f78da8657be"><div class="ttname"><a href="namespaceos_1_1stat.html#a7a116891923bc8b5d8c50f78da8657be">os::stat::size</a></div><div class="ttdeci">Try&lt; Bytes &gt; size(const std::string &amp;path, const FollowSymlink follow=FollowSymlink::FOLLOW_SYMLINK)</div><div class="ttdef"><b>Definition:</b> stat.hpp:119</div></div>
-<div class="ttc" id="structprocess_1_1TimeSeries_html_a8fd91415653d305e8793416f8c4ff797"><div class="ttname"><a href="structprocess_1_1TimeSeries.html#a8fd91415653d305e8793416f8c4ff797">process::TimeSeries::TimeSeries</a></div><div class="ttdeci">TimeSeries(const Duration &amp;_window=TIME_SERIES_WINDOW, size_t _capacity=TIME_SERIES_CAPACITY)</div><div class="ttdef"><b>Definition:</b> timeseries.hpp:59</div></div>
+<a href="timeseries_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="comment">// Licensed under the Apache License, Version 2.0 (the &quot;License&quot;);</span></div><div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="comment">// you may not use this file except in compliance with the License.</span></div><div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="comment">// You may obtain a copy of the License at</span></div><div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="comment">//     http://www.apache.org/licenses/LICENSE-2.0</span></div><div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="comment">//
 </span></div><div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="comment">// Unless required by applicable law or agreed to in writing, software</span></div><div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="comment">// distributed under the License is distributed on an &quot;AS IS&quot; BASIS,</span></div><div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="comment">// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.</span></div><div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="comment">// See the License for the specific language governing permissions and</span></div><div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="comment">// limitations under the License</span></div><div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;</div><div class
 ="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#ifndef __PROCESS_TIMESERIES_HPP__</span></div><div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#define __PROCESS_TIMESERIES_HPP__</span></div><div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;</div><div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;algorithm&gt;</span> <span class="comment">// For max.</span></div><div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;map&gt;</span></div><div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div><div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;</div><div class="line"><a name="l00020"></a><span class="lineno">   20</span
 >&#160;<span class="preprocessor">#include &lt;<a class="code" href="clock_8hpp.html">process/clock.hpp</a>&gt;</span></div><div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="time_8hpp.html">process/time.hpp</a>&gt;</span></div><div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;</div><div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="duration_8hpp.html">stout/duration.hpp</a>&gt;</span></div><div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="none_8hpp.html">stout/none.hpp</a>&gt;</span></div><div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="option_8hpp.html">stout/option.hpp</a>&gt;</span></div><div class=
 "line"><a name="l00026"></a><span class="lineno">   26</span>&#160;</div><div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespaceprocess.html">process</a> {</div><div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;</div><div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;<span class="comment">// Default statistic configuration variables.</span></div><div class="line"><a name="l00030"></a><span class="lineno"><a class="line" href="namespaceprocess.html#a79124011954c164c6178289973461ab5">   30</a></span>&#160;constexpr <a class="code" href="classDuration.html">Duration</a> <a class="code" href="namespaceprocess.html#a79124011954c164c6178289973461ab5">TIME_SERIES_WINDOW</a> = <a class="code" href="classWeeks.html">Weeks</a>(2);</div><div class="line"><a name="l00031"></a><span class="lineno"><a class="line" href="namespaceprocess.html#a06430e17
 cbf61305d44507af542da391">   31</a></span>&#160;constexpr <span class="keywordtype">size_t</span> <a class="code" href="namespaceprocess.html#a06430e17cbf61305d44507af542da391">TIME_SERIES_CAPACITY</a> = 1000;</div><div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;</div><div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;</div><div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;<span class="comment">// Provides an in-memory time series of statistics over some window.</span></div><div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;<span class="comment">// When the time series capacity is exceeded within the window, the</span></div><div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;<span class="comment">// granularity of older values is coarsened. This means, for</span></div><div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;<s
 pan class="comment">// high-frequency statistics that exceed the capacity, we keep a lot</span></div><div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;<span class="comment">// of recent data points (fine granularity), and keep fewer older</span></div><div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;<span class="comment">// data points (coarse granularity). The tunable bit here is the</span></div><div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;<span class="comment">// total number of data points to keep around, which informs how</span></div><div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;<span class="comment">// often to delete older data points, while still keeping a window</span></div><div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;<span class="comment">// worth of data.</span></div><div class="line"><a name="l00043"></a><span class="lin
 eno">   43</span>&#160;<span class="comment">// TODO(bmahler): Investigate using Google&#39;s btree implementation.</span></div><div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;<span class="comment">// This provides better insertion and lookup performance for large</span></div><div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;<span class="comment">// containers. This _should_ also provide significant memory</span></div><div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;<span class="comment">// savings. These are true because we have the following properties:</span></div><div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;<span class="comment">//   1. Our insertion order will mostly be in sorted order.</span></div><div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;<span class="comment">//   2. Our keys (Seconds) have efficient comparison operators.<
 /span></div><div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;<span class="comment">// See: http://code.google.com/p/cpp-btree/</span></div><div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;<span class="comment">//      http://code.google.com/p/cpp-btree/wiki/UsageInstructions</span></div><div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div><div class="line"><a name="l00052"></a><span class="lineno"><a class="line" href="structprocess_1_1TimeSeries.html">   52</a></span>&#160;<span class="keyword">struct </span><a class="code" href="structprocess_1_1TimeSeries.html">TimeSeries</a></div><div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;{</div><div class="line"><a name="l00054"></a><span class="lineno"><a class="line" href="structprocess_1_1TimeSeries.html#a8fd91415653d305e8793416f8c4ff79
 7">   54</a></span>&#160;  <a class="code" href="structprocess_1_1TimeSeries.html#a8fd91415653d305e8793416f8c4ff797">TimeSeries</a>(<span class="keyword">const</span> <a class="code" href="classDuration.html">Duration</a>&amp; _window = TIME_SERIES_WINDOW,</div><div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;             <span class="keywordtype">size_t</span> _capacity = TIME_SERIES_CAPACITY)</div><div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;    : window(_window),</div><div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <span class="comment">// The truncation technique requires at least 3 elements.</span></div><div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      capacity(<a class="code" href="namespacestd.html">std</a>::<a class="code" href="option_8hpp.html#ac4b53d77033a5d2405ef12ceb3dc6498">max</a>((size_t) 3, _capacity)) {}</div><div class="line"><a name=
 "l00059"></a><span class="lineno">   59</span>&#160;</div><div class="line"><a name="l00060"></a><span class="lineno"><a class="line" href="structprocess_1_1TimeSeries_1_1Value.html">   60</a></span>&#160;  <span class="keyword">struct </span><a class="code" href="structprocess_1_1TimeSeries_1_1Value.html">Value</a></div><div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;  {</div><div class="line"><a name="l00062"></a><span class="lineno"><a class="line" href="structprocess_1_1TimeSeries_1_1Value.html#aa79af31717d87775443d28f7534159e6">   62</a></span>&#160;    <a class="code" href="structprocess_1_1TimeSeries_1_1Value.html#aa79af31717d87775443d28f7534159e6">Value</a>(<span class="keyword">const</span> <a class="code" href="classprocess_1_1Time.html">Time</a>&amp; _time, <span class="keyword">const</span> T&amp; _data) : <a class="code" href="structprocess_1_1TimeSeries_1_1Value.html#aff33299570156c9c804f0d5a5fa3ff7e">time</a>(_time), <a class="code" href=
 "structprocess_1_1TimeSeries_1_1Value.html#a3a4ce139e59cd0cae4324bc9a07e28a7">data</a>(_data) {}</div><div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;</div><div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;    <span class="comment">// Non-const for assignability.</span></div><div class="line"><a name="l00065"></a><span class="lineno"><a class="line" href="structprocess_1_1TimeSeries_1_1Value.html#aff33299570156c9c804f0d5a5fa3ff7e">   65</a></span>&#160;    <a class="code" href="classprocess_1_1Time.html">Time</a> <a class="code" href="structprocess_1_1TimeSeries_1_1Value.html#aff33299570156c9c804f0d5a5fa3ff7e">time</a>;</div><div class="line"><a name="l00066"></a><span class="lineno"><a class="line" href="structprocess_1_1TimeSeries_1_1Value.html#a3a4ce139e59cd0cae4324bc9a07e28a7">   66</a></span>&#160;    T <a class="code" href="structprocess_1_1TimeSeries_1_1Value.html#a3a4ce139e59cd0cae4324bc9a07e28a7">data</a>;</div><div 
 class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;  };</div><div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;</div><div class="line"><a name="l00069"></a><span class="lineno"><a class="line" href="structprocess_1_1TimeSeries.html#a32ad80193e5138cd76086f01ecbaf1ed">   69</a></span>&#160;  <span class="keywordtype">void</span> <span class="keyword">set</span>(<span class="keyword">const</span> T&amp; value, <span class="keyword">const</span> <a class="code" href="classprocess_1_1Time.html">Time</a>&amp; <a class="code" href="structprocess_1_1TimeSeries_1_1Value.html#aff33299570156c9c804f0d5a5fa3ff7e">time</a> = <a class="code" href="classprocess_1_1Clock.html#a24ed3f746bb6b3ddb1c52dce5e0ecd38">Clock::now</a>())</div><div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;  {</div><div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;    <span class="comment">// If we&#39;re not inserting 
 at the end of the time series, then</span></div><div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;    <span class="comment">// we have to reset the sparsification index. Given that</span></div><div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;    <span class="comment">// out-of-order insertion is a rare use-case. This is a simple way</span></div><div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;    <span class="comment">// to keep insertions O(log(n)). No need to figure out how to</span></div><div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;    <span class="comment">// adjust the truncation index.</span></div><div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;    <span class="keywordflow">if</span> (!values.empty() &amp;&amp; time &lt; values.rbegin()-&gt;first) {</div><div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160
 ;      index = <a class="code" href="structNone.html">None</a>();</div><div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;    }</div><div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;</div><div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;    values[<a class="code" href="structprocess_1_1TimeSeries_1_1Value.html#aff33299570156c9c804f0d5a5fa3ff7e">time</a>] = value;</div><div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;    <a class="code" href="structprocess_1_1TimeSeries.html#af0f0682a40225778f4c4c931a1380f0e">truncate</a>();</div><div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;    sparsify();</div><div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;  }</div><div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;</div><div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;
   <span class="comment">// Returns the time series within the (optional) time range.</span></div><div class="line"><a name="l00086"></a><span class="lineno"><a class="line" href="structprocess_1_1TimeSeries.html#a17657ae4751e17ad24c890c8e4dfd2f9">   86</a></span>&#160;  std::vector&lt;Value&gt; <span class="keyword">get</span>(</div><div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;      <span class="keyword">const</span> <a class="code" href="classOption.html">Option&lt;Time&gt;</a>&amp; <a class="code" href="namespacesystemd_1_1slices.html#a95aa197d8eed9f20dacb44f433b15f01">start</a> = <a class="code" href="structNone.html">None</a>(),</div><div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;      <span class="keyword">const</span> <a class="code" href="classOption.html">Option&lt;Time&gt;</a>&amp; stop = <a class="code" href="structNone.html">None</a>()) <span class="keyword">const</span></div><div class="line"><a name="l00089
 "></a><span class="lineno">   89</span>&#160;  {</div><div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;    <span class="comment">// Ignore invalid ranges.</span></div><div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;    <span class="keywordflow">if</span> (start.isSome() &amp;&amp; stop.<a class="code" href="classOption.html#a4e3bf8416d95246f43c91f1b5c309323">isSome</a>() &amp;&amp; start.get() &gt; stop.<a class="code" href="classOption.html#a21358442c0fac1cc978a67a9a9089a79">get</a>()) {</div><div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;      <span class="keywordflow">return</span> std::vector&lt;Value&gt;();</div><div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;    }</div><div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;</div><div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;    <span class="keyword">typen
 ame</span> std::map&lt;Time, T&gt;::const_iterator <a class="code" href="namespacestrings.html#a66b9edbbfb1f158b6c420367a1457a0b">lower</a> = values.lower_bound(</div><div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;        start.isSome() ? start.get() : <a class="code" href="classprocess_1_1Time.html#adaf82d5f3d8c886ce04dd87fdd639959">Time::epoch</a>());</div><div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;</div><div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;    <span class="keyword">typename</span> std::map&lt;Time, T&gt;::const_iterator <a class="code" href="namespacestrings.html#a69f3467801285caf9a9e04929ff33cee">upper</a> = values.upper_bound(</div><div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;        stop.<a class="code" href="classOption.html#a4e3bf8416d95246f43c91f1b5c309323">isSome</a>() ? stop.<a class="code" href="classOption.html#a21358442c0fac1cc978a
 67a9a9089a79">get</a>() : <a class="code" href="classprocess_1_1Time.html#a45c081fba8c8a6c2e0d6c30580d95645">Time::max</a>());</div><div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;</div><div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;    std::vector&lt;Value&gt; values;</div><div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;    <span class="keywordflow">while</span> (lower != upper) {</div><div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;      values.push_back(<a class="code" href="structprocess_1_1TimeSeries_1_1Value.html#aa79af31717d87775443d28f7534159e6">Value</a>(lower-&gt;first, lower-&gt;second));</div><div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;      ++<a class="code" href="namespacestrings.html#a66b9edbbfb1f158b6c420367a1457a0b">lower</a>;</div><div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;    }
 </div><div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;    <span class="keywordflow">return</span> values;</div><div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;  }</div><div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;</div><div class="line"><a name="l00109"></a><span class="lineno"><a class="line" href="structprocess_1_1TimeSeries.html#ab9d8e976e89fb5a5539e1fe83f17f3dd">  109</a></span>&#160;  <a class="code" href="classOption.html">Option&lt;Value&gt;</a> <a class="code" href="structprocess_1_1TimeSeries.html#ab9d8e976e89fb5a5539e1fe83f17f3dd">latest</a>()<span class="keyword"> const</span></div><div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;<span class="keyword">  </span>{</div><div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;    <span class="keywordflow">if</span> (<a class="code" href="structprocess_1_1TimeSeries.html#a71832c3c13f99
 3378d355d3f9330cc14">empty</a>()) {</div><div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="structNone.html">None</a>();</div><div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;    }</div><div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;</div><div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;    <span class="keywordflow">return</span> <a class="code" href="structprocess_1_1TimeSeries_1_1Value.html#aa79af31717d87775443d28f7534159e6">Value</a>(values.rbegin()-&gt;first, values.rbegin()-&gt;second);</div><div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;  }</div><div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;</div><div class="line"><a name="l00118"></a><span class="lineno"><a class="line" href="structprocess_1_1TimeSeries.html#a71832c3c13f993378d355d3f
 9330cc14">  118</a></span>&#160;  <span class="keywordtype">bool</span> <a class="code" href="structprocess_1_1TimeSeries.html#a71832c3c13f993378d355d3f9330cc14">empty</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> values.empty(); }</div><div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;</div><div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;  <span class="comment">// Removes values outside the time window. This will ensure at</span></div><div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;  <span class="comment">// least one value remains. Note that this is called automatically</span></div><div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;  <span class="comment">// when writing to the time series, so this is only needed when</span></div><div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;  <span class="comment">/
 / one wants to explicitly trigger a truncation.</span></div><div class="line"><a name="l00124"></a><span class="lineno"><a class="line" href="structprocess_1_1TimeSeries.html#af0f0682a40225778f4c4c931a1380f0e">  124</a></span>&#160;  <span class="keywordtype">void</span> <a class="code" href="structprocess_1_1TimeSeries.html#af0f0682a40225778f4c4c931a1380f0e">truncate</a>()</div><div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;  {</div><div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;    <a class="code" href="classprocess_1_1Time.html">Time</a> <a class="code" href="namespaceprocess_1_1internal.html#a64e590c9a40c4ead4b969d6a64cd8181">expired</a> = <a class="code" href="classprocess_1_1Clock.html#a24ed3f746bb6b3ddb1c52dce5e0ecd38">Clock::now</a>() - window;</div><div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;    <span class="keyword">typename</span> std::map&lt;Time, T&gt;::iterator upper_bound =
 </div><div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;      values.upper_bound(expired);</div><div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;</div><div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;    <span class="comment">// Ensure at least 1 value remains.</span></div><div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;    <span class="keywordflow">if</span> (values.size() &lt;= 1 || upper_bound == values.end()) {</div><div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;      <span class="keywordflow">return</span>;</div><div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;    }</div><div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;</div><div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;    <span class="comment">// When truncating and there exists a next value c
 onsidered</span></div><div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;    <span class="comment">// for sparsification, there are two cases to consider for</span></div><div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;    <span class="comment">// updating the index:</span></div><div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;    <span class="comment">//</span></div><div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;    <span class="comment">// Case 1: upper_bound &lt; next</span></div><div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;    <span class="comment">//   ----------------------------------------------------------</span></div><div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;    <span class="comment">//       upper_bound index, next</span></div><div class="line"><a name="l00142"></a><span class="lineno">  14
 2</span>&#160;    <span class="comment">//                 v v</span></div><div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;    <span class="comment">//   Before: 0 1 2 3 4 5 6 7 ...</span></div><div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;    <span class="comment">//   ----------------------------------------------------------</span></div><div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;    <span class="comment">//                 next  index    After truncating, index is</span></div><div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;    <span class="comment">//                   v     v      must be adjusted:</span></div><div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;    <span class="comment">//   Truncate:     3 4 5 6 7 ...  index -= # elements removed</span></div><div class="line"><a name="l00148"></a><span class="lineno">  148</spa
 n>&#160;    <span class="comment">//   ----------------------------------------------------------</span></div><div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;    <span class="comment">//              index, next</span></div><div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;    <span class="comment">//                   v</span></div><div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;    <span class="comment">//   After:        3 4 5 6 7 ...</span></div><div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;    <span class="comment">//   ----------------------------------------------------------</span></div><div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;    <span class="comment">//</span></div><div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;    <span class="comment">// Case 2: upper_bound &gt;= next</span></div><div c
 lass="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;    <span class="comment">//   ----------------------------------------------------------</span></div><div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;    <span class="comment">//                   upper_bound, index, next</span></div><div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;    <span class="comment">//                   v</span></div><div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;    <span class="comment">//   Before: 0 1 2 3 4 5 6 7 ...</span></div><div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;    <span class="comment">//   ----------------------------------------------------------</span></div><div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;    <span class="comment">//                               After truncating, we must</span></div><div class="line">
 <a name="l00161"></a><span class="lineno">  161</span>&#160;    <span class="comment">//   After:          4 5 6 7 ... reset index to None().</span></div><div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;    <span class="comment">//   ----------------------------------------------------------</span></div><div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;    <span class="keywordflow">if</span> (index.isSome() &amp;&amp; upper_bound-&gt;first &lt; next-&gt;first) {</div><div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;      <span class="keywordtype">size_t</span> <a class="code" href="namespaceos_1_1stat.html#a7a116891923bc8b5d8c50f78da8657be">size</a> = values.size();</div><div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;      values.erase(values.begin(), upper_bound);</div><div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;      index = index.g
 et() - (size - values.size());</div><div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;    } <span class="keywordflow">else</span> {</div><div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;      index = <a class="code" href="structNone.html">None</a>();</div><div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;      values.erase(values.begin(), upper_bound);</div><div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;    }</div><div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;  }</div><div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;</div><div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;<span class="keyword">private</span>:</div><div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;  <span class="comment">// Performs &quot;sparsification&quot; to limit the size of the time 
 series</span></div><div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;  <span class="comment">// to be within the capacity.</span></div><div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;  <span class="comment">//</span></div><div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160;  <span class="comment">// The sparsifying technique is to iteratively halve the granularity</span></div><div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160;  <span class="comment">// of the older half of the time series. Once sparsification reaches</span></div><div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160;  <span class="comment">// the midpoint of the time series, it begins again from the</span></div><div class="line"><a name="l00180"></a><span class="lineno">  180</span>&#160;  <span class="comment">// beginning.</span></div><div class="line"><a name="l00181"></a><span cla
 ss="lineno">  181</span>&#160;  <span class="comment">//</span></div><div class="line"><a name="l00182"></a><span class="lineno">  182</span>&#160;  <span class="comment">// Sparsification results in the following granularity over time:</span></div><div class="line"><a name="l00183"></a><span class="lineno">  183</span>&#160;  <span class="comment">// Initial: | ------------------------ A -------------------- |</span></div><div class="line"><a name="l00184"></a><span class="lineno">  184</span>&#160;  <span class="comment">// Stage 1: | ------- 1/2 A ---------- | -------- B --------- |</span></div><div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160;  <span class="comment">// Stage 2: | -- 1/4A --- | -- 1/2B -- | -------- C --------- |</span></div><div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;  <span class="comment">// Stage 3: | 1/8A | 1/4B | -- 1/2C -- | -------- D --------- |</span></div><div class="line"><a name="l00187"><
 /a><span class="lineno">  187</span>&#160;  <span class="comment">//     ...</span></div><div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;  <span class="comment">//</span></div><div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;  <span class="comment">// Each stage halves the size and granularity of time series prior</span></div><div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160;  <span class="comment">// to sparsifying.</span></div><div class="line"><a name="l00191"></a><span class="lineno">  191</span>&#160;  <span class="keywordtype">void</span> sparsify()</div><div class="line"><a name="l00192"></a><span class="lineno">  192</span>&#160;  {</div><div class="line"><a name="l00193"></a><span class="lineno">  193</span>&#160;    <span class="comment">// We remove every other element up to the halfway point of the</span></div><div class="line"><a name="l00194"></a><span class="lineno">  194</span>&#16
 0;    <span class="comment">// time series, until we&#39;re within the capacity. If we reach the</span></div><div class="line"><a name="l00195"></a><span class="lineno">  195</span>&#160;    <span class="comment">// half-way point of the time series, we&#39;ll start another</span></div><div class="line"><a name="l00196"></a><span class="lineno">  196</span>&#160;    <span class="comment">// sparsification cycle from the beginning, for example:</span></div><div class="line"><a name="l00197"></a><span class="lineno">  197</span>&#160;    <span class="comment">//</span></div><div class="line"><a name="l00198"></a><span class="lineno">  198</span>&#160;    <span class="comment">// next             Time series with a capacity of 7.</span></div><div class="line"><a name="l00199"></a><span class="lineno">  199</span>&#160;    <span class="comment">//   v              Initial state with 7 entries</span></div><div class="line"><a name="l00200"></a><span class="lineno">  200</span>&#160;    <
 span class="comment">// 0 1 2 3 4 5 6</span></div><div class="line"><a name="l00201"></a><span class="lineno">  201</span>&#160;    <span class="comment">//</span></div><div class="line"><a name="l00202"></a><span class="lineno">  202</span>&#160;    <span class="comment">//   next           Insert &#39;7&#39;.</span></div><div class="line"><a name="l00203"></a><span class="lineno">  203</span>&#160;    <span class="comment">//     v            Capacity is exceeded, we remove &#39;1&#39; and</span></div><div class="line"><a name="l00204"></a><span class="lineno">  204</span>&#160;    <span class="comment">// 0 2 3 4 5 6 7    advance to remove &#39;3&#39; next.</span></div><div class="line"><a name="l00205"></a><span class="lineno">  205</span>&#160;    <span class="comment">//</span></div><div class="line"><a name="l00206"></a><span class="lineno">  206</span>&#160;    <span class="comment">//     next         Insert &#39;8&#39;.</span></div><div class="line"><a name="l00207"></a><s
 pan class="lineno">  207</span>&#160;    <span class="comment">//       v          Capacity is exceeded, we remove &#39;3&#39; and</span></div><div class="line"><a name="l00208"></a><span class="lineno">  208</span>&#160;    <span class="comment">// 0 2 4 5 6 7 8    advance to remove &#39;5&#39; next.</span></div><div class="line"><a name="l00209"></a><span class="lineno">  209</span>&#160;    <span class="comment">//</span></div><div class="line"><a name="l00210"></a><span class="lineno">  210</span>&#160;    <span class="comment">// next             Insert &#39;9&#39;.</span></div><div class="line"><a name="l00211"></a><span class="lineno">  211</span>&#160;    <span class="comment">//   v              Capacity is exceeded, we remove &#39;5&#39; and now</span></div><div class="line"><a name="l00212"></a><span class="lineno">  212</span>&#160;    <span class="comment">// 0 2 4 6 7 8 9    &#39;7&#39; is past the halfway mark, so we will reset</span></div><div class="line"><a name="l
 00213"></a><span class="lineno">  213</span>&#160;    <span class="comment">//                  reset to the beginning and consider &#39;2&#39;.</span></div><div class="line"><a name="l00214"></a><span class="lineno">  214</span>&#160;</div><div class="line"><a name="l00215"></a><span class="lineno">  215</span>&#160;    <span class="keywordflow">while</span> (values.size() &gt; capacity) {</div><div class="line"><a name="l00216"></a><span class="lineno">  216</span>&#160;      <span class="comment">// If the index is uninitialized, or past the half-way point,</span></div><div class="line"><a name="l00217"></a><span class="lineno">  217</span>&#160;      <span class="comment">// we set it back to the beginning.</span></div><div class="line"><a name="l00218"></a><span class="lineno">  218</span>&#160;      <span class="keywordflow">if</span> (index.isNone() || index.get() &gt; values.size() / 2) {</div><div class="line"><a name="l00219"></a><span class="lineno">  219</span>&#160;    
     <span class="comment">// The second element is the initial deletion candidate.</span></div><div class="line"><a name="l00220"></a><span class="lineno">  220</span>&#160;        next = values.begin();</div><div class="line"><a name="l00221"></a><span class="lineno">  221</span>&#160;        ++next;</div><div class="line"><a name="l00222"></a><span class="lineno">  222</span>&#160;        index = 1;</div><div class="line"><a name="l00223"></a><span class="lineno">  223</span>&#160;      }</div><div class="line"><a name="l00224"></a><span class="lineno">  224</span>&#160;</div><div class="line"><a name="l00225"></a><span class="lineno">  225</span>&#160;      next = values.erase(next);</div><div class="line"><a name="l00226"></a><span class="lineno">  226</span>&#160;      next++; <span class="comment">// Skip one element.</span></div><div class="line"><a name="l00227"></a><span class="lineno">  227</span>&#160;      index = index.get() + 1;</div><div class="line"><a name="l00228">
 </a><span class="lineno">  228</span>&#160;    }</div><div class="line"><a name="l00229"></a><span class="lineno">  229</span>&#160;  }</div><div class="line"><a name="l00230"></a><span class="lineno">  230</span>&#160;</div><div class="line"><a name="l00231"></a><span class="lineno">  231</span>&#160;  <span class="comment">// Non-const for assignability.</span></div><div class="line"><a name="l00232"></a><span class="lineno">  232</span>&#160;  <a class="code" href="classDuration.html">Duration</a> window;</div><div class="line"><a name="l00233"></a><span class="lineno">  233</span>&#160;  <span class="keywordtype">size_t</span> capacity;</div><div class="line"><a name="l00234"></a><span class="lineno">  234</span>&#160;</div><div class="line"><a name="l00235"></a><span class="lineno">  235</span>&#160;  <span class="comment">// We use a map instead of a hashmap to store the values because</span></div><div class="line"><a name="l00236"></a><span class="lineno">  236</span>&#160;  
 <span class="comment">// that way we can retrieve a series in sorted order efficiently.</span></div><div class="line"><a name="l00237"></a><span class="lineno">  237</span>&#160;  std::map&lt;Time, T&gt; values;</div><div class="line"><a name="l00238"></a><span class="lineno">  238</span>&#160;</div><div class="line"><a name="l00239"></a><span class="lineno">  239</span>&#160;  <span class="comment">// Next deletion candidate. We store both the iterator and index.</span></div><div class="line"><a name="l00240"></a><span class="lineno">  240</span>&#160;  <span class="comment">// The index is None initially, and whenever a value is appended</span></div><div class="line"><a name="l00241"></a><span class="lineno">  241</span>&#160;  <span class="comment">// out-of-order. This means &#39;next&#39; is only valid when &#39;index&#39; is</span></div><div class="line"><a name="l00242"></a><span class="lineno">  242</span>&#160;  <span class="comment">// Some.</span></div><div class="line"><
 a name="l00243"></a><span class="lineno">  243</span>&#160;  <span class="keyword">typename</span> std::map&lt;Time, T&gt;::iterator next;</div><div class="line"><a name="l00244"></a><span class="lineno">  244</span>&#160;  <a class="code" href="classOption.html">Option&lt;size_t&gt;</a> index;</div><div class="line"><a name="l00245"></a><span class="lineno">  245</span>&#160;};</div><div class="line"><a name="l00246"></a><span class="lineno">  246</span>&#160;</div><div class="line"><a name="l00247"></a><span class="lineno">  247</span>&#160;} <span class="comment">// namespace process {</span></div><div class="line"><a name="l00248"></a><span class="lineno">  248</span>&#160;</div><div class="line"><a name="l00249"></a><span class="lineno">  249</span>&#160;<span class="preprocessor">#endif // __PROCESS_TIMESERIES_HPP__</span></div><div class="ttc" id="classOption_html"><div class="ttname"><a href="classOption.html">Option</a></div><div class="ttdef"><b>Definition:</b> option.hpp:
 28</div></div>
+<div class="ttc" id="namespaceos_1_1stat_html_a7a116891923bc8b5d8c50f78da8657be"><div class="ttname"><a href="namespaceos_1_1stat.html#a7a116891923bc8b5d8c50f78da8657be">os::stat::size</a></div><div class="ttdeci">Try&lt; Bytes &gt; size(const std::string &amp;path, const FollowSymlink follow=FollowSymlink::FOLLOW_SYMLINK)</div><div class="ttdef"><b>Definition:</b> stat.hpp:121</div></div>
+<div class="ttc" id="structprocess_1_1TimeSeries_html_a8fd91415653d305e8793416f8c4ff797"><div class="ttname"><a href="structprocess_1_1TimeSeries.html#a8fd91415653d305e8793416f8c4ff797">process::TimeSeries::TimeSeries</a></div><div class="ttdeci">TimeSeries(const Duration &amp;_window=TIME_SERIES_WINDOW, size_t _capacity=TIME_SERIES_CAPACITY)</div><div class="ttdef"><b>Definition:</b> timeseries.hpp:54</div></div>
 <div class="ttc" id="none_8hpp_html"><div class="ttname"><a href="none_8hpp.html">none.hpp</a></div></div>
 <div class="ttc" id="namespacestd_html"><div class="ttname"><a href="namespacestd.html">std</a></div><div class="ttdef"><b>Definition:</b> type_utils.hpp:510</div></div>
 <div class="ttc" id="namespaceprocess_1_1internal_html_a64e590c9a40c4ead4b969d6a64cd8181"><div class="ttname"><a href="namespaceprocess_1_1internal.html#a64e590c9a40c4ead4b969d6a64cd8181">process::internal::expired</a></div><div class="ttdeci">void expired(const std::shared_ptr&lt; lambda::CallableOnce&lt; Future&lt; T &gt;(const Future&lt; T &gt; &amp;)&gt;&gt; &amp;f, const std::shared_ptr&lt; Latch &gt; &amp;latch, const std::shared_ptr&lt; Promise&lt; T &gt;&gt; &amp;promise, const std::shared_ptr&lt; Option&lt; Timer &gt;&gt; &amp;timer, const Future&lt; T &gt; &amp;future)</div><div class="ttdef"><b>Definition:</b> future.hpp:1524</div></div>
-<div class="ttc" id="structprocess_1_1TimeSeries_1_1Value_html_aa79af31717d87775443d28f7534159e6"><div class="ttname"><a href="structprocess_1_1TimeSeries_1_1Value.html#aa79af31717d87775443d28f7534159e6">process::TimeSeries::Value::Value</a></div><div class="ttdeci">Value(const Time &amp;_time, const T &amp;_data)</div><div class="ttdef"><b>Definition:</b> timeseries.hpp:67</div></div>
+<div class="ttc" id="structprocess_1_1TimeSeries_1_1Value_html_aa79af31717d87775443d28f7534159e6"><div class="ttname"><a href="structprocess_1_1TimeSeries_1_1Value.html#aa79af31717d87775443d28f7534159e6">process::TimeSeries::Value::Value</a></div><div class="ttdeci">Value(const Time &amp;_time, const T &amp;_data)</div><div class="ttdef"><b>Definition:</b> timeseries.hpp:62</div></div>
 <div class="ttc" id="classDuration_html"><div class="ttname"><a href="classDuration.html">Duration</a></div><div class="ttdef"><b>Definition:</b> duration.hpp:32</div></div>
-<div class="ttc" id="namespaceprocess_html_a1865c52e226d6f280d63dd80884dd959"><div class="ttname"><a href="namespaceprocess.html#a1865c52e226d6f280d63dd80884dd959">process::TIME_SERIES_WINDOW</a></div><div class="ttdeci">const Duration TIME_SERIES_WINDOW</div></div>
 <div class="ttc" id="namespacesystemd_1_1slices_html_a95aa197d8eed9f20dacb44f433b15f01"><div class="ttname"><a href="namespacesystemd_1_1slices.html#a95aa197d8eed9f20dacb44f433b15f01">systemd::slices::start</a></div><div class="ttdeci">Try&lt; Nothing &gt; start(const std::string &amp;name)</div><div class="ttdoc">Starts the slice with the given name (via &amp;#39;systemctl start &lt;name&gt;&amp;#39;). </div></div>
 <div class="ttc" id="classOption_html_a4e3bf8416d95246f43c91f1b5c309323"><div class="ttname"><a href="classOption.html#a4e3bf8416d95246f43c91f1b5c309323">Option::isSome</a></div><div class="ttdeci">bool isSome() const </div><div class="ttdef"><b>Definition:</b> option.hpp:115</div></div>
 <div class="ttc" id="duration_8hpp_html"><div class="ttname"><a href="duration_8hpp.html">duration.hpp</a></div></div>
-<div class="ttc" id="structprocess_1_1TimeSeries_html_af0f0682a40225778f4c4c931a1380f0e"><div class="ttname"><a href="structprocess_1_1TimeSeries.html#af0f0682a40225778f4c4c931a1380f0e">process::TimeSeries::truncate</a></div><div class="ttdeci">void truncate()</div><div class="ttdef"><b>Definition:</b> timeseries.hpp:129</div></div>
+<div class="ttc" id="namespaceprocess_html_a79124011954c164c6178289973461ab5"><div class="ttname"><a href="namespaceprocess.html#a79124011954c164c6178289973461ab5">process::TIME_SERIES_WINDOW</a></div><div class="ttdeci">constexpr Duration TIME_SERIES_WINDOW</div><div class="ttdef"><b>Definition:</b> timeseries.hpp:30</div></div>
+<div class="ttc" id="structprocess_1_1TimeSeries_html_af0f0682a40225778f4c4c931a1380f0e"><div class="ttname"><a href="structprocess_1_1TimeSeries.html#af0f0682a40225778f4c4c931a1380f0e">process::TimeSeries::truncate</a></div><div class="ttdeci">void truncate()</div><div class="ttdef"><b>Definition:</b> timeseries.hpp:124</div></div>
 <div class="ttc" id="time_8hpp_html"><div class="ttname"><a href="time_8hpp.html">time.hpp</a></div></div>
 <div class="ttc" id="option_8hpp_html_ac4b53d77033a5d2405ef12ceb3dc6498"><div class="ttname"><a href="option_8hpp.html#ac4b53d77033a5d2405ef12ceb3dc6498">max</a></div><div class="ttdeci">Option&lt; T &gt; max(const Option&lt; T &gt; &amp;left, const Option&lt; T &gt; &amp;right)</div><div class="ttdef"><b>Definition:</b> option.hpp:208</div></div>
-<div class="ttc" id="structprocess_1_1TimeSeries_html_a71832c3c13f993378d355d3f9330cc14"><div class="ttname"><a href="structprocess_1_1TimeSeries.html#a71832c3c13f993378d355d3f9330cc14">process::TimeSeries::empty</a></div><div class="ttdeci">bool empty() const </div><

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