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Posted to commits@datasketches.apache.org by gi...@apache.org on 2026/09/07 19:26:35 UTC

(datasketches-cpp) branch gh-pages updated: deploy: 88a5761ee33a0e856bc093b75ccf29d265405539

This is an automated email from the ASF dual-hosted git repository.

github-actions[bot] pushed a commit to branch gh-pages
in repository https://gitbox.apache.org/repos/asf/datasketches-cpp.git


The following commit(s) were added to refs/heads/gh-pages by this push:
     new fc0ca20  deploy: 88a5761ee33a0e856bc093b75ccf29d265405539
fc0ca20 is described below

commit fc0ca2044efb804b4f455184c60fa096aadb0ea0
Author: leerho <le...@users.noreply.github.com>
AuthorDate: Mon Sep 7 19:26:30 2026 +0000

    deploy: 88a5761ee33a0e856bc093b75ccf29d265405539
---
 docs/master/CouponList-internal_8hpp_source.html   |    4 +-
 docs/master/Hll4Array-internal_8hpp_source.html    |    6 +-
 docs/master/Hll4Array_8hpp_source.html             |    2 +-
 docs/master/Hll6Array-internal_8hpp_source.html    |    6 +-
 docs/master/Hll6Array_8hpp_source.html             |    2 +-
 docs/master/Hll8Array-internal_8hpp_source.html    |    6 +-
 docs/master/Hll8Array_8hpp_source.html             |    2 +-
 docs/master/HllArray-internal_8hpp_source.html     | 1164 ++++++++++----------
 docs/master/HllArray_8hpp_source.html              |    2 +-
 docs/master/HllSketch-internal_8hpp_source.html    |  702 ++++++------
 .../master/HllSketchImpl-internal_8hpp_source.html |  230 ++--
 docs/master/HllSketchImplFactory_8hpp_source.html  |  225 ++--
 docs/master/HllSketchImpl_8hpp_source.html         |   34 +-
 docs/master/HllUnion-internal_8hpp_source.html     |  228 ++--
 docs/master/HllUtil_8hpp_source.html               |  346 +++---
 docs/master/hll_8hpp_source.html                   |  358 +++---
 16 files changed, 1658 insertions(+), 1659 deletions(-)

diff --git a/docs/master/CouponList-internal_8hpp_source.html b/docs/master/CouponList-internal_8hpp_source.html
index 523c0ee..b652f86 100644
--- a/docs/master/CouponList-internal_8hpp_source.html
+++ b/docs/master/CouponList-internal_8hpp_source.html
@@ -116,7 +116,7 @@ $(document).ready(function() { init_codefold(0); });
 <div class="line"><a id="l00033" name="l00033"></a><span class="lineno">   33</span> </div>
 <div class="line"><a id="l00034" name="l00034"></a><span class="lineno">   34</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
 <div class="line"><a id="l00035" name="l00035"></a><span class="lineno">   35</span>CouponList&lt;A&gt;::CouponList(uint8_t lgConfigK, <a class="code hl_enumeration" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4">target_hll_type</a> tgtHllType, hll_mode mode, <span class="keyword">const</span> A&amp; allocator):</div>
-<div class="line"><a id="l00036" name="l00036"></a><span class="lineno">   36</span>HllSketchImpl&lt;A&gt;(lgConfigK, tgtHllType, mode, false),</div>
+<div class="line"><a id="l00036" name="l00036"></a><span class="lineno">   36</span>HllSketchImpl&lt;A&gt;(lgConfigK, tgtHllType, mode),</div>
 <div class="line"><a id="l00037" name="l00037"></a><span class="lineno">   37</span>couponCount_(0),</div>
 <div class="line"><a id="l00038" name="l00038"></a><span class="lineno">   38</span>oooFlag_(false),</div>
 <div class="line"><a id="l00039" name="l00039"></a><span class="lineno">   39</span>coupons_(1ULL &lt;&lt; (mode == hll_mode::LIST ? hll_constants::LG_INIT_LIST_SIZE : hll_constants::LG_INIT_SET_SIZE), 0, allocator)</div>
@@ -124,7 +124,7 @@ $(document).ready(function() { init_codefold(0); });
 <div class="line"><a id="l00041" name="l00041"></a><span class="lineno">   41</span> </div>
 <div class="line"><a id="l00042" name="l00042"></a><span class="lineno">   42</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
 <div class="line"><a id="l00043" name="l00043"></a><span class="lineno">   43</span>CouponList&lt;A&gt;::CouponList(<span class="keyword">const</span> CouponList&amp; that, <span class="keyword">const</span> target_hll_type tgtHllType):</div>
-<div class="line"><a id="l00044" name="l00044"></a><span class="lineno">   44</span>HllSketchImpl&lt;A&gt;(that.lgConfigK_, tgtHllType, that.mode_, false),</div>
+<div class="line"><a id="l00044" name="l00044"></a><span class="lineno">   44</span>HllSketchImpl&lt;A&gt;(that.lgConfigK_, tgtHllType, that.mode_),</div>
 <div class="line"><a id="l00045" name="l00045"></a><span class="lineno">   45</span>couponCount_(that.couponCount_),</div>
 <div class="line"><a id="l00046" name="l00046"></a><span class="lineno">   46</span>oooFlag_(that.oooFlag_),</div>
 <div class="line"><a id="l00047" name="l00047"></a><span class="lineno">   47</span>coupons_(that.coupons_)</div>
diff --git a/docs/master/Hll4Array-internal_8hpp_source.html b/docs/master/Hll4Array-internal_8hpp_source.html
index a5d2579..f521e94 100644
--- a/docs/master/Hll4Array-internal_8hpp_source.html
+++ b/docs/master/Hll4Array-internal_8hpp_source.html
@@ -113,8 +113,8 @@ $(document).ready(function() { init_codefold(0); });
 <div class="line"><a id="l00030" name="l00030"></a><span class="lineno">   30</span><span class="keyword">namespace </span><a class="code hl_namespace" href="namespacedatasketches.html">datasketches</a> {</div>
 <div class="line"><a id="l00031" name="l00031"></a><span class="lineno">   31</span> </div>
 <div class="line"><a id="l00032" name="l00032"></a><span class="lineno">   32</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00033" name="l00033"></a><span class="lineno">   33</span>Hll4Array&lt;A&gt;::Hll4Array(uint8_t lgConfigK, <span class="keywordtype">bool</span> startFullSize, <span class="keyword">const</span> A&amp; allocator):</div>
-<div class="line"><a id="l00034" name="l00034"></a><span class="lineno">   34</span>HllArray&lt;A&gt;(lgConfigK, <a class="code hl_enumeration" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4">target_hll_type</a>::<a class="code hl_enumvalue" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4aebdac6704039b95d8b82629cda14b1b9">HLL_4</a>, startFullSize, allocator),</div>
+<div class="line"><a id="l00033" name="l00033"></a><span class="lineno">   33</span>Hll4Array&lt;A&gt;::Hll4Array(uint8_t lgConfigK, <span class="keyword">const</span> A&amp; allocator):</div>
+<div class="line"><a id="l00034" name="l00034"></a><span class="lineno">   34</span>HllArray&lt;A&gt;(lgConfigK, <a class="code hl_enumeration" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4">target_hll_type</a>::<a class="code hl_enumvalue" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4aebdac6704039b95d8b82629cda14b1b9">HLL_4</a>, allocator),</div>
 <div class="line"><a id="l00035" name="l00035"></a><span class="lineno">   35</span>auxHashMap_(nullptr)</div>
 <div class="line"><a id="l00036" name="l00036"></a><span class="lineno">   36</span>{</div>
 <div class="line"><a id="l00037" name="l00037"></a><span class="lineno">   37</span>  <span class="keyword">const</span> uint32_t numBytes = this-&gt;hll4ArrBytes(lgConfigK);</div>
@@ -136,7 +136,7 @@ $(document).ready(function() { init_codefold(0); });
 <div class="line"><a id="l00053" name="l00053"></a><span class="lineno">   53</span> </div>
 <div class="line"><a id="l00054" name="l00054"></a><span class="lineno">   54</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
 <div class="line"><a id="l00055" name="l00055"></a><span class="lineno">   55</span>Hll4Array&lt;A&gt;::Hll4Array(<span class="keyword">const</span> HllArray&lt;A&gt;&amp; other) :</div>
-<div class="line"><a id="l00056" name="l00056"></a><span class="lineno">   56</span>  HllArray&lt;A&gt;(other.getLgConfigK(), <a class="code hl_enumeration" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4">target_hll_type</a>::<a class="code hl_enumvalue" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4aebdac6704039b95d8b82629cda14b1b9">HLL_4</a>, other.isStartFullSize(), other.getAllocator()),</div>
+<div class="line"><a id="l00056" name="l00056"></a><span class="lineno">   56</span>  HllArray&lt;A&gt;(other.getLgConfigK(), <a class="code hl_enumeration" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4">target_hll_type</a>::<a class="code hl_enumvalue" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4aebdac6704039b95d8b82629cda14b1b9">HLL_4</a>, other.getAllocator()),</div>
 <div class="line"><a id="l00057" name="l00057"></a><span class="lineno">   57</span>  auxHashMap_(nullptr)</div>
 <div class="line"><a id="l00058" name="l00058"></a><span class="lineno">   58</span>{</div>
 <div class="line"><a id="l00059" name="l00059"></a><span class="lineno">   59</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> numBytes = this-&gt;hll4ArrBytes(this-&gt;lgConfigK_);</div>
diff --git a/docs/master/Hll4Array_8hpp_source.html b/docs/master/Hll4Array_8hpp_source.html
index b920b64..1d86805 100644
--- a/docs/master/Hll4Array_8hpp_source.html
+++ b/docs/master/Hll4Array_8hpp_source.html
@@ -111,7 +111,7 @@ $(document).ready(function() { init_codefold(0); });
 <div class="line"><a id="l00028" name="l00028"></a><span class="lineno">   28</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
 <div class="line"><a id="l00029" name="l00029"></a><span class="lineno">   29</span><span class="keyword">class </span>Hll4Array final : <span class="keyword">public</span> HllArray&lt;A&gt; {</div>
 <div class="line"><a id="l00030" name="l00030"></a><span class="lineno">   30</span>  <span class="keyword">public</span>:</div>
-<div class="line"><a id="l00031" name="l00031"></a><span class="lineno">   31</span>    <span class="keyword">explicit</span> Hll4Array(uint8_t lgConfigK, <span class="keywordtype">bool</span> startFullSize, <span class="keyword">const</span> A&amp; allocator);</div>
+<div class="line"><a id="l00031" name="l00031"></a><span class="lineno">   31</span>    <span class="keyword">explicit</span> Hll4Array(uint8_t lgConfigK, <span class="keyword">const</span> A&amp; allocator);</div>
 <div class="line"><a id="l00032" name="l00032"></a><span class="lineno">   32</span>    <span class="keyword">explicit</span> Hll4Array(<span class="keyword">const</span> Hll4Array&lt;A&gt;&amp; that);</div>
 <div class="line"><a id="l00033" name="l00033"></a><span class="lineno">   33</span>    <span class="keyword">explicit</span> Hll4Array(<span class="keyword">const</span> HllArray&lt;A&gt;&amp; that);</div>
 <div class="line"><a id="l00034" name="l00034"></a><span class="lineno">   34</span> </div>
diff --git a/docs/master/Hll6Array-internal_8hpp_source.html b/docs/master/Hll6Array-internal_8hpp_source.html
index 0f01598..16d5e4f 100644
--- a/docs/master/Hll6Array-internal_8hpp_source.html
+++ b/docs/master/Hll6Array-internal_8hpp_source.html
@@ -110,8 +110,8 @@ $(document).ready(function() { init_codefold(0); });
 <div class="line"><a id="l00027" name="l00027"></a><span class="lineno">   27</span><span class="keyword">namespace </span><a class="code hl_namespace" href="namespacedatasketches.html">datasketches</a> {</div>
 <div class="line"><a id="l00028" name="l00028"></a><span class="lineno">   28</span> </div>
 <div class="line"><a id="l00029" name="l00029"></a><span class="lineno">   29</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00030" name="l00030"></a><span class="lineno">   30</span>Hll6Array&lt;A&gt;::Hll6Array(uint8_t lgConfigK, <span class="keywordtype">bool</span> startFullSize, <span class="keyword">const</span> A&amp; allocator):</div>
-<div class="line"><a id="l00031" name="l00031"></a><span class="lineno">   31</span>HllArray&lt;A&gt;(lgConfigK, <a class="code hl_enumeration" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4">target_hll_type</a>::<a class="code hl_enumvalue" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4a0a2179d612c2ce6887e96279f25d7a77">HLL_6</a>, startFullSize, allocator)</div>
+<div class="line"><a id="l00030" name="l00030"></a><span class="lineno">   30</span>Hll6Array&lt;A&gt;::Hll6Array(uint8_t lgConfigK, <span class="keyword">const</span> A&amp; allocator):</div>
+<div class="line"><a id="l00031" name="l00031"></a><span class="lineno">   31</span>HllArray&lt;A&gt;(lgConfigK, <a class="code hl_enumeration" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4">target_hll_type</a>::<a class="code hl_enumvalue" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4a0a2179d612c2ce6887e96279f25d7a77">HLL_6</a>, allocator)</div>
 <div class="line"><a id="l00032" name="l00032"></a><span class="lineno">   32</span>{</div>
 <div class="line"><a id="l00033" name="l00033"></a><span class="lineno">   33</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> numBytes = this-&gt;hll6ArrBytes(lgConfigK);</div>
 <div class="line"><a id="l00034" name="l00034"></a><span class="lineno">   34</span>  this-&gt;hllByteArr_.resize(numBytes, 0);</div>
@@ -119,7 +119,7 @@ $(document).ready(function() { init_codefold(0); });
 <div class="line"><a id="l00036" name="l00036"></a><span class="lineno">   36</span> </div>
 <div class="line"><a id="l00037" name="l00037"></a><span class="lineno">   37</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
 <div class="line"><a id="l00038" name="l00038"></a><span class="lineno">   38</span>Hll6Array&lt;A&gt;::Hll6Array(<span class="keyword">const</span> HllArray&lt;A&gt;&amp; other) :</div>
-<div class="line"><a id="l00039" name="l00039"></a><span class="lineno">   39</span>  HllArray&lt;A&gt;(other.getLgConfigK(), <a class="code hl_enumeration" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4">target_hll_type</a>::<a class="code hl_enumvalue" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4a0a2179d612c2ce6887e96279f25d7a77">HLL_6</a>, other.isStartFullSize(), other.getAllocator())</div>
+<div class="line"><a id="l00039" name="l00039"></a><span class="lineno">   39</span>  HllArray&lt;A&gt;(other.getLgConfigK(), <a class="code hl_enumeration" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4">target_hll_type</a>::<a class="code hl_enumvalue" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4a0a2179d612c2ce6887e96279f25d7a77">HLL_6</a>, other.getAllocator())</div>
 <div class="line"><a id="l00040" name="l00040"></a><span class="lineno">   40</span>{</div>
 <div class="line"><a id="l00041" name="l00041"></a><span class="lineno">   41</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> numBytes = this-&gt;hll6ArrBytes(this-&gt;lgConfigK_);</div>
 <div class="line"><a id="l00042" name="l00042"></a><span class="lineno">   42</span>  this-&gt;hllByteArr_.resize(numBytes, 0);</div>
diff --git a/docs/master/Hll6Array_8hpp_source.html b/docs/master/Hll6Array_8hpp_source.html
index 996786b..c218017 100644
--- a/docs/master/Hll6Array_8hpp_source.html
+++ b/docs/master/Hll6Array_8hpp_source.html
@@ -113,7 +113,7 @@ $(document).ready(function() { init_codefold(0); });
 <div class="line"><a id="l00030" name="l00030"></a><span class="lineno">   30</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
 <div class="line"><a id="l00031" name="l00031"></a><span class="lineno">   31</span><span class="keyword">class </span>Hll6Array final : <span class="keyword">public</span> HllArray&lt;A&gt; {</div>
 <div class="line"><a id="l00032" name="l00032"></a><span class="lineno">   32</span>  <span class="keyword">public</span>:</div>
-<div class="line"><a id="l00033" name="l00033"></a><span class="lineno">   33</span>    Hll6Array(uint8_t lgConfigK, <span class="keywordtype">bool</span> startFullSize, <span class="keyword">const</span> A&amp; allocator);</div>
+<div class="line"><a id="l00033" name="l00033"></a><span class="lineno">   33</span>    Hll6Array(uint8_t lgConfigK, <span class="keyword">const</span> A&amp; allocator);</div>
 <div class="line"><a id="l00034" name="l00034"></a><span class="lineno">   34</span>    <span class="keyword">explicit</span> Hll6Array(<span class="keyword">const</span> HllArray&lt;A&gt;&amp; that);</div>
 <div class="line"><a id="l00035" name="l00035"></a><span class="lineno">   35</span> </div>
 <div class="line"><a id="l00036" name="l00036"></a><span class="lineno">   36</span>    <span class="keyword">virtual</span> ~Hll6Array() = <span class="keywordflow">default</span>;</div>
diff --git a/docs/master/Hll8Array-internal_8hpp_source.html b/docs/master/Hll8Array-internal_8hpp_source.html
index d335eb4..a886a99 100644
--- a/docs/master/Hll8Array-internal_8hpp_source.html
+++ b/docs/master/Hll8Array-internal_8hpp_source.html
@@ -108,8 +108,8 @@ $(document).ready(function() { init_codefold(0); });
 <div class="line"><a id="l00025" name="l00025"></a><span class="lineno">   25</span><span class="keyword">namespace </span><a class="code hl_namespace" href="namespacedatasketches.html">datasketches</a> {</div>
 <div class="line"><a id="l00026" name="l00026"></a><span class="lineno">   26</span> </div>
 <div class="line"><a id="l00027" name="l00027"></a><span class="lineno">   27</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00028" name="l00028"></a><span class="lineno">   28</span>Hll8Array&lt;A&gt;::Hll8Array(uint8_t lgConfigK, <span class="keywordtype">bool</span> startFullSize, <span class="keyword">const</span> A&amp; allocator):</div>
-<div class="line"><a id="l00029" name="l00029"></a><span class="lineno">   29</span>HllArray&lt;A&gt;(lgConfigK, <a class="code hl_enumeration" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4">target_hll_type</a>::<a class="code hl_enumvalue" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4a3a5efa79623d3e2ab53f27ef53237c7f">HLL_8</a>, startFullSize, allocator)</div>
+<div class="line"><a id="l00028" name="l00028"></a><span class="lineno">   28</span>Hll8Array&lt;A&gt;::Hll8Array(uint8_t lgConfigK, <span class="keyword">const</span> A&amp; allocator):</div>
+<div class="line"><a id="l00029" name="l00029"></a><span class="lineno">   29</span>HllArray&lt;A&gt;(lgConfigK, <a class="code hl_enumeration" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4">target_hll_type</a>::<a class="code hl_enumvalue" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4a3a5efa79623d3e2ab53f27ef53237c7f">HLL_8</a>, allocator)</div>
 <div class="line"><a id="l00030" name="l00030"></a><span class="lineno">   30</span>{</div>
 <div class="line"><a id="l00031" name="l00031"></a><span class="lineno">   31</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> numBytes = this-&gt;hll8ArrBytes(lgConfigK);</div>
 <div class="line"><a id="l00032" name="l00032"></a><span class="lineno">   32</span>  this-&gt;hllByteArr_.resize(numBytes, 0);</div>
@@ -117,7 +117,7 @@ $(document).ready(function() { init_codefold(0); });
 <div class="line"><a id="l00034" name="l00034"></a><span class="lineno">   34</span> </div>
 <div class="line"><a id="l00035" name="l00035"></a><span class="lineno">   35</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
 <div class="line"><a id="l00036" name="l00036"></a><span class="lineno">   36</span>Hll8Array&lt;A&gt;::Hll8Array(<span class="keyword">const</span> HllArray&lt;A&gt;&amp; other):</div>
-<div class="line"><a id="l00037" name="l00037"></a><span class="lineno">   37</span>  HllArray&lt;A&gt;(other.getLgConfigK(), <a class="code hl_enumeration" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4">target_hll_type</a>::<a class="code hl_enumvalue" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4a3a5efa79623d3e2ab53f27ef53237c7f">HLL_8</a>, other.isStartFullSize(), other.getAllocator())</div>
+<div class="line"><a id="l00037" name="l00037"></a><span class="lineno">   37</span>  HllArray&lt;A&gt;(other.getLgConfigK(), <a class="code hl_enumeration" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4">target_hll_type</a>::<a class="code hl_enumvalue" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4a3a5efa79623d3e2ab53f27ef53237c7f">HLL_8</a>, other.getAllocator())</div>
 <div class="line"><a id="l00038" name="l00038"></a><span class="lineno">   38</span>{</div>
 <div class="line"><a id="l00039" name="l00039"></a><span class="lineno">   39</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> numBytes = this-&gt;hll8ArrBytes(this-&gt;lgConfigK_);</div>
 <div class="line"><a id="l00040" name="l00040"></a><span class="lineno">   40</span>  this-&gt;hllByteArr_.resize(numBytes, 0);</div>
diff --git a/docs/master/Hll8Array_8hpp_source.html b/docs/master/Hll8Array_8hpp_source.html
index 103ae6f..63b8de2 100644
--- a/docs/master/Hll8Array_8hpp_source.html
+++ b/docs/master/Hll8Array_8hpp_source.html
@@ -113,7 +113,7 @@ $(document).ready(function() { init_codefold(0); });
 <div class="line"><a id="l00030" name="l00030"></a><span class="lineno">   30</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
 <div class="line"><a id="l00031" name="l00031"></a><span class="lineno">   31</span><span class="keyword">class </span>Hll8Array final : <span class="keyword">public</span> HllArray&lt;A&gt; {</div>
 <div class="line"><a id="l00032" name="l00032"></a><span class="lineno">   32</span>  <span class="keyword">public</span>:</div>
-<div class="line"><a id="l00033" name="l00033"></a><span class="lineno">   33</span>    Hll8Array(uint8_t lgConfigK, <span class="keywordtype">bool</span> startFullSize, <span class="keyword">const</span> A&amp; allocator);</div>
+<div class="line"><a id="l00033" name="l00033"></a><span class="lineno">   33</span>    Hll8Array(uint8_t lgConfigK, <span class="keyword">const</span> A&amp; allocator);</div>
 <div class="line"><a id="l00034" name="l00034"></a><span class="lineno">   34</span>    <span class="keyword">explicit</span> Hll8Array(<span class="keyword">const</span> HllArray&lt;A&gt;&amp; that);</div>
 <div class="line"><a id="l00035" name="l00035"></a><span class="lineno">   35</span> </div>
 <div class="line"><a id="l00036" name="l00036"></a><span class="lineno">   36</span>    <span class="keyword">virtual</span> ~Hll8Array() = <span class="keywordflow">default</span>;</div>
diff --git a/docs/master/HllArray-internal_8hpp_source.html b/docs/master/HllArray-internal_8hpp_source.html
index 3aebfa3..7f46bbb 100644
--- a/docs/master/HllArray-internal_8hpp_source.html
+++ b/docs/master/HllArray-internal_8hpp_source.html
@@ -118,8 +118,8 @@ $(document).ready(function() { init_codefold(0); });
 <div class="line"><a id="l00035" name="l00035"></a><span class="lineno">   35</span><span class="keyword">namespace </span><a class="code hl_namespace" href="namespacedatasketches.html">datasketches</a> {</div>
 <div class="line"><a id="l00036" name="l00036"></a><span class="lineno">   36</span> </div>
 <div class="line"><a id="l00037" name="l00037"></a><span class="lineno">   37</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00038" name="l00038"></a><span class="lineno">   38</span>HllArray&lt;A&gt;::HllArray(uint8_t lgConfigK, <a class="code hl_enumeration" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4">target_hll_type</a> tgtHllType, <span class="keywordtype">bool</span> startFullSize, <span class="keyword">const</span> A&amp; allocator):</div>
-<div class="line"><a id="l00039" name="l00039"></a><span class="lineno">   39</span>HllSketchImpl&lt;A&gt;(lgConfigK, tgtHllType, hll_mode::HLL, startFullSize),</div>
+<div class="line"><a id="l00038" name="l00038"></a><span class="lineno">   38</span>HllArray&lt;A&gt;::HllArray(uint8_t lgConfigK, <a class="code hl_enumeration" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4">target_hll_type</a> tgtHllType, <span class="keyword">const</span> A&amp; allocator):</div>
+<div class="line"><a id="l00039" name="l00039"></a><span class="lineno">   39</span>HllSketchImpl&lt;A&gt;(lgConfigK, tgtHllType, hll_mode::HLL),</div>
 <div class="line"><a id="l00040" name="l00040"></a><span class="lineno">   40</span>hipAccum_(0.0),</div>
 <div class="line"><a id="l00041" name="l00041"></a><span class="lineno">   41</span>kxq0_(1 &lt;&lt; lgConfigK),</div>
 <div class="line"><a id="l00042" name="l00042"></a><span class="lineno">   42</span>kxq1_(0.0),</div>
@@ -132,7 +132,7 @@ $(document).ready(function() { init_codefold(0); });
 <div class="line"><a id="l00049" name="l00049"></a><span class="lineno">   49</span> </div>
 <div class="line"><a id="l00050" name="l00050"></a><span class="lineno">   50</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
 <div class="line"><a id="l00051" name="l00051"></a><span class="lineno">   51</span>HllArray&lt;A&gt;::HllArray(<span class="keyword">const</span> HllArray&amp; other, target_hll_type tgtHllType) :</div>
-<div class="line"><a id="l00052" name="l00052"></a><span class="lineno">   52</span>  HllSketchImpl&lt;A&gt;(other.getLgConfigK(), tgtHllType, hll_mode::HLL, other.isStartFullSize()),</div>
+<div class="line"><a id="l00052" name="l00052"></a><span class="lineno">   52</span>  HllSketchImpl&lt;A&gt;(other.getLgConfigK(), tgtHllType, hll_mode::HLL),</div>
 <div class="line"><a id="l00053" name="l00053"></a><span class="lineno">   53</span>  <span class="comment">// remaining fields are initialized to empty sketch defaults</span></div>
 <div class="line"><a id="l00054" name="l00054"></a><span class="lineno">   54</span>  <span class="comment">// and left to subclass constructor to populate</span></div>
 <div class="line"><a id="l00055" name="l00055"></a><span class="lineno">   55</span>  hipAccum_(0.0),</div>
@@ -192,597 +192,595 @@ $(document).ready(function() { init_codefold(0); });
 <div class="line"><a id="l00109" name="l00109"></a><span class="lineno">  109</span>  <span class="keyword">const</span> <a class="code hl_enumeration" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4">target_hll_type</a> tgtHllType = HllSketchImpl&lt;A&gt;::extractTgtHllType(data[hll_constants::MODE_BYTE]);</div>
 <div class="line"><a id="l00110" name="l00110"></a><span class="lineno">  110</span>  <span class="keyword">const</span> <span class="keywordtype">bool</span> oooFlag = ((data[hll_constants::FLAGS_BYTE] &amp; hll_constants::OUT_OF_ORDER_FLAG_MASK) ? <span class="keyword">true</span> : false);</div>
 <div class="line"><a id="l00111" name="l00111"></a><span class="lineno">  111</span>  <span class="keyword">const</span> <span class="keywordtype">bool</span> comapctFlag = ((data[hll_constants::FLAGS_BYTE] &amp; hll_constants::COMPACT_FLAG_MASK) ? <span class="keyword">true</span> : false);</div>
-<div class="line"><a id="l00112" name="l00112"></a><span class="lineno">  112</span>  <span class="keyword">const</span> <span class="keywordtype">bool</span> startFullSizeFlag = ((data[hll_constants::FLAGS_BYTE] &amp; hll_constants::FULL_SIZE_FLAG_MASK) ? <span class="keyword">true</span> : false);</div>
-<div class="line"><a id="l00113" name="l00113"></a><span class="lineno">  113</span> </div>
-<div class="line"><a id="l00114" name="l00114"></a><span class="lineno">  114</span>  <span class="keyword">const</span> uint8_t lgK = data[hll_constants::LG_K_BYTE];</div>
-<div class="line"><a id="l00115" name="l00115"></a><span class="lineno">  115</span>  <span class="keyword">const</span> uint8_t curMin = data[hll_constants::HLL_CUR_MIN_BYTE];</div>
-<div class="line"><a id="l00116" name="l00116"></a><span class="lineno">  116</span> </div>
-<div class="line"><a id="l00117" name="l00117"></a><span class="lineno">  117</span>  <span class="keyword">const</span> uint32_t arrayBytes = hllArrBytes(tgtHllType, lgK);</div>
-<div class="line"><a id="l00118" name="l00118"></a><span class="lineno">  118</span>  <span class="keywordflow">if</span> (len &lt; <span class="keyword">static_cast&lt;</span><span class="keywordtype">size_t</span><span class="keyword">&gt;</span>(hll_constants::HLL_BYTE_ARR_START + arrayBytes)) {</div>
-<div class="line"><a id="l00119" name="l00119"></a><span class="lineno">  119</span>    <span class="keywordflow">throw</span> std::out_of_range(<span class="stringliteral">&quot;Input array too small to hold sketch image&quot;</span>);</div>
-<div class="line"><a id="l00120" name="l00120"></a><span class="lineno">  120</span>  }</div>
-<div class="line"><a id="l00121" name="l00121"></a><span class="lineno">  121</span> </div>
-<div class="line"><a id="l00122" name="l00122"></a><span class="lineno">  122</span>  <span class="keywordtype">double</span> hip, kxq0, kxq1;</div>
-<div class="line"><a id="l00123" name="l00123"></a><span class="lineno">  123</span>  std::memcpy(&amp;hip, data + hll_constants::HIP_ACCUM_DOUBLE, <span class="keyword">sizeof</span>(<span class="keywordtype">double</span>));</div>
-<div class="line"><a id="l00124" name="l00124"></a><span class="lineno">  124</span>  std::memcpy(&amp;kxq0, data + hll_constants::KXQ0_DOUBLE, <span class="keyword">sizeof</span>(<span class="keywordtype">double</span>));</div>
-<div class="line"><a id="l00125" name="l00125"></a><span class="lineno">  125</span>  std::memcpy(&amp;kxq1, data + hll_constants::KXQ1_DOUBLE, <span class="keyword">sizeof</span>(<span class="keywordtype">double</span>));</div>
-<div class="line"><a id="l00126" name="l00126"></a><span class="lineno">  126</span> </div>
-<div class="line"><a id="l00127" name="l00127"></a><span class="lineno">  127</span>  uint32_t numAtCurMin, auxCount;</div>
-<div class="line"><a id="l00128" name="l00128"></a><span class="lineno">  128</span>  std::memcpy(&amp;numAtCurMin, data + hll_constants::CUR_MIN_COUNT_INT, <span class="keyword">sizeof</span>(<span class="keywordtype">int</span>));</div>
-<div class="line"><a id="l00129" name="l00129"></a><span class="lineno">  129</span>  std::memcpy(&amp;auxCount, data + hll_constants::AUX_COUNT_INT, <span class="keyword">sizeof</span>(<span class="keywordtype">int</span>));</div>
-<div class="line"><a id="l00130" name="l00130"></a><span class="lineno">  130</span> </div>
-<div class="line"><a id="l00131" name="l00131"></a><span class="lineno">  131</span>  AuxHashMap&lt;A&gt;* auxHashMap = <span class="keyword">nullptr</span>;</div>
-<div class="line"><a id="l00132" name="l00132"></a><span class="lineno">  132</span>  <span class="keyword">typedef</span> std::unique_ptr&lt;AuxHashMap&lt;A&gt;, std::function&lt;void(AuxHashMap&lt;A&gt;*)&gt;&gt; aux_hash_map_ptr;</div>
-<div class="line"><a id="l00133" name="l00133"></a><span class="lineno">  133</span>  aux_hash_map_ptr aux_ptr;</div>
-<div class="line"><a id="l00134" name="l00134"></a><span class="lineno">  134</span>  <span class="keywordflow">if</span> (auxCount &gt; 0) { <span class="comment">// necessarily TgtHllType == HLL_4</span></div>
-<div class="line"><a id="l00135" name="l00135"></a><span class="lineno">  135</span>    uint8_t auxLgIntArrSize = data[4];</div>
-<div class="line"><a id="l00136" name="l00136"></a><span class="lineno">  136</span>    <span class="keyword">const</span> <span class="keywordtype">size_t</span> offset = hll_constants::HLL_BYTE_ARR_START + arrayBytes;</div>
-<div class="line"><a id="l00137" name="l00137"></a><span class="lineno">  137</span>    <span class="keyword">const</span> uint8_t* auxDataStart = data + offset;</div>
-<div class="line"><a id="l00138" name="l00138"></a><span class="lineno">  138</span>    auxHashMap = AuxHashMap&lt;A&gt;::deserialize(auxDataStart, len - offset, lgK, auxCount, auxLgIntArrSize, comapctFlag, allocator);</div>
-<div class="line"><a id="l00139" name="l00139"></a><span class="lineno">  139</span>    aux_ptr = aux_hash_map_ptr(auxHashMap, auxHashMap-&gt;make_deleter());</div>
-<div class="line"><a id="l00140" name="l00140"></a><span class="lineno">  140</span>  }</div>
-<div class="line"><a id="l00141" name="l00141"></a><span class="lineno">  141</span> </div>
-<div class="line"><a id="l00142" name="l00142"></a><span class="lineno">  142</span>  HllArray&lt;A&gt;* sketch = HllSketchImplFactory&lt;A&gt;::newHll(lgK, tgtHllType, startFullSizeFlag, allocator);</div>
-<div class="line"><a id="l00143" name="l00143"></a><span class="lineno">  143</span>  sketch-&gt;putCurMin(curMin);</div>
-<div class="line"><a id="l00144" name="l00144"></a><span class="lineno">  144</span>  sketch-&gt;putOutOfOrderFlag(oooFlag);</div>
-<div class="line"><a id="l00145" name="l00145"></a><span class="lineno">  145</span>  <span class="keywordflow">if</span> (!oooFlag) { sketch-&gt;putHipAccum(hip); }</div>
-<div class="line"><a id="l00146" name="l00146"></a><span class="lineno">  146</span>  sketch-&gt;putKxQ0(kxq0);</div>
-<div class="line"><a id="l00147" name="l00147"></a><span class="lineno">  147</span>  sketch-&gt;putKxQ1(kxq1);</div>
-<div class="line"><a id="l00148" name="l00148"></a><span class="lineno">  148</span>  sketch-&gt;putNumAtCurMin(numAtCurMin);</div>
-<div class="line"><a id="l00149" name="l00149"></a><span class="lineno">  149</span> </div>
-<div class="line"><a id="l00150" name="l00150"></a><span class="lineno">  150</span>  std::memcpy(sketch-&gt;hllByteArr_.data(), data + hll_constants::HLL_BYTE_ARR_START, arrayBytes);</div>
-<div class="line"><a id="l00151" name="l00151"></a><span class="lineno">  151</span> </div>
-<div class="line"><a id="l00152" name="l00152"></a><span class="lineno">  152</span>  <span class="keywordflow">if</span> (auxHashMap != <span class="keyword">nullptr</span>) {</div>
-<div class="line"><a id="l00153" name="l00153"></a><span class="lineno">  153</span>    ((Hll4Array&lt;A&gt;*)sketch)-&gt;putAuxHashMap(auxHashMap);</div>
-<div class="line"><a id="l00154" name="l00154"></a><span class="lineno">  154</span>  }</div>
-<div class="line"><a id="l00155" name="l00155"></a><span class="lineno">  155</span> </div>
-<div class="line"><a id="l00156" name="l00156"></a><span class="lineno">  156</span>  aux_ptr.release();</div>
-<div class="line"><a id="l00157" name="l00157"></a><span class="lineno">  157</span>  <span class="keywordflow">return</span> sketch;</div>
-<div class="line"><a id="l00158" name="l00158"></a><span class="lineno">  158</span>}</div>
-<div class="line"><a id="l00159" name="l00159"></a><span class="lineno">  159</span> </div>
-<div class="line"><a id="l00160" name="l00160"></a><span class="lineno">  160</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00161" name="l00161"></a><span class="lineno">  161</span>HllArray&lt;A&gt;* HllArray&lt;A&gt;::newHll(std::istream&amp; is, <span class="keyword">const</span> A&amp; allocator) {</div>
-<div class="line"><a id="l00162" name="l00162"></a><span class="lineno">  162</span>  uint8_t listHeader[8];</div>
-<div class="line"><a id="l00163" name="l00163"></a><span class="lineno">  163</span>  read(is, listHeader, 8 * <span class="keyword">sizeof</span>(uint8_t));</div>
-<div class="line"><a id="l00164" name="l00164"></a><span class="lineno">  164</span> </div>
-<div class="line"><a id="l00165" name="l00165"></a><span class="lineno">  165</span>  <span class="keywordflow">if</span> (listHeader[hll_constants::PREAMBLE_INTS_BYTE] != hll_constants::HLL_PREINTS) {</div>
-<div class="line"><a id="l00166" name="l00166"></a><span class="lineno">  166</span>    <span class="keywordflow">throw</span> std::invalid_argument(<span class="stringliteral">&quot;Incorrect number of preInts in input stream&quot;</span>);</div>
-<div class="line"><a id="l00167" name="l00167"></a><span class="lineno">  167</span>  }</div>
-<div class="line"><a id="l00168" name="l00168"></a><span class="lineno">  168</span>  <span class="keywordflow">if</span> (listHeader[hll_constants::SER_VER_BYTE] != hll_constants::SER_VER) {</div>
-<div class="line"><a id="l00169" name="l00169"></a><span class="lineno">  169</span>    <span class="keywordflow">throw</span> std::invalid_argument(<span class="stringliteral">&quot;Wrong ser ver in input stream&quot;</span>);</div>
-<div class="line"><a id="l00170" name="l00170"></a><span class="lineno">  170</span>  }</div>
-<div class="line"><a id="l00171" name="l00171"></a><span class="lineno">  171</span>  <span class="keywordflow">if</span> (listHeader[hll_constants::FAMILY_BYTE] != hll_constants::FAMILY_ID) {</div>
-<div class="line"><a id="l00172" name="l00172"></a><span class="lineno">  172</span>    <span class="keywordflow">throw</span> std::invalid_argument(<span class="stringliteral">&quot;Input stream is not an HLL sketch&quot;</span>);</div>
-<div class="line"><a id="l00173" name="l00173"></a><span class="lineno">  173</span>  }</div>
-<div class="line"><a id="l00174" name="l00174"></a><span class="lineno">  174</span> </div>
-<div class="line"><a id="l00175" name="l00175"></a><span class="lineno">  175</span>  hll_mode mode = HllSketchImpl&lt;A&gt;::extractCurMode(listHeader[hll_constants::MODE_BYTE]);</div>
-<div class="line"><a id="l00176" name="l00176"></a><span class="lineno">  176</span>  <span class="keywordflow">if</span> (mode != HLL) {</div>
-<div class="line"><a id="l00177" name="l00177"></a><span class="lineno">  177</span>    <span class="keywordflow">throw</span> std::invalid_argument(<span class="stringliteral">&quot;Calling HLL constructor with non-HLL mode data&quot;</span>);</div>
-<div class="line"><a id="l00178" name="l00178"></a><span class="lineno">  178</span>  }</div>
-<div class="line"><a id="l00179" name="l00179"></a><span class="lineno">  179</span> </div>
-<div class="line"><a id="l00180" name="l00180"></a><span class="lineno">  180</span>  <span class="keyword">const</span> <a class="code hl_enumeration" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4">target_hll_type</a> tgtHllType = HllSketchImpl&lt;A&gt;::extractTgtHllType(listHeader[hll_constants::MODE_BYTE]);</div>
-<div class="line"><a id="l00181" name="l00181"></a><span class="lineno">  181</span>  <span class="keyword">const</span> <span class="keywordtype">bool</span> oooFlag = ((listHeader[hll_constants::FLAGS_BYTE] &amp; hll_constants::OUT_OF_ORDER_FLAG_MASK) ? <span class="keyword">true</span> : false);</div>
-<div class="line"><a id="l00182" name="l00182"></a><span class="lineno">  182</span>  <span class="keyword">const</span> <span class="keywordtype">bool</span> comapctFlag = ((listHeader[hll_constants::FLAGS_BYTE] &amp; hll_constants::COMPACT_FLAG_MASK) ? <span class="keyword">true</span> : false);</div>
-<div class="line"><a id="l00183" name="l00183"></a><span class="lineno">  183</span>  <span class="keyword">const</span> <span class="keywordtype">bool</span> startFullSizeFlag = ((listHeader[hll_constants::FLAGS_BYTE] &amp; hll_constants::FULL_SIZE_FLAG_MASK) ? <span class="keyword">true</span> : false);</div>
-<div class="line"><a id="l00184" name="l00184"></a><span class="lineno">  184</span> </div>
-<div class="line"><a id="l00185" name="l00185"></a><span class="lineno">  185</span>  <span class="keyword">const</span> uint8_t lgK = listHeader[hll_constants::LG_K_BYTE];</div>
-<div class="line"><a id="l00186" name="l00186"></a><span class="lineno">  186</span>  <span class="keyword">const</span> uint8_t curMin = listHeader[hll_constants::HLL_CUR_MIN_BYTE];</div>
-<div class="line"><a id="l00187" name="l00187"></a><span class="lineno">  187</span> </div>
-<div class="line"><a id="l00188" name="l00188"></a><span class="lineno">  188</span>  HllArray* sketch = HllSketchImplFactory&lt;A&gt;::newHll(lgK, tgtHllType, startFullSizeFlag, allocator);</div>
-<div class="line"><a id="l00189" name="l00189"></a><span class="lineno">  189</span>  <span class="keyword">typedef</span> std::unique_ptr&lt;HllArray&lt;A&gt;, std::function&lt;void(HllSketchImpl&lt;A&gt;*)&gt;&gt; hll_array_ptr;</div>
-<div class="line"><a id="l00190" name="l00190"></a><span class="lineno">  190</span>  hll_array_ptr sketch_ptr(sketch, sketch-&gt;get_deleter());</div>
-<div class="line"><a id="l00191" name="l00191"></a><span class="lineno">  191</span>  sketch-&gt;putCurMin(curMin);</div>
-<div class="line"><a id="l00192" name="l00192"></a><span class="lineno">  192</span>  sketch-&gt;putOutOfOrderFlag(oooFlag);</div>
-<div class="line"><a id="l00193" name="l00193"></a><span class="lineno">  193</span> </div>
-<div class="line"><a id="l00194" name="l00194"></a><span class="lineno">  194</span>  <span class="keyword">const</span> <span class="keyword">auto</span> hip = read&lt;double&gt;(is);</div>
-<div class="line"><a id="l00195" name="l00195"></a><span class="lineno">  195</span>  <span class="keyword">const</span> <span class="keyword">auto</span> kxq0 = read&lt;double&gt;(is);</div>
-<div class="line"><a id="l00196" name="l00196"></a><span class="lineno">  196</span>  <span class="keyword">const</span> <span class="keyword">auto</span> kxq1 = read&lt;double&gt;(is);</div>
-<div class="line"><a id="l00197" name="l00197"></a><span class="lineno">  197</span>  <span class="keywordflow">if</span> (!oooFlag) { sketch-&gt;putHipAccum(hip); }</div>
-<div class="line"><a id="l00198" name="l00198"></a><span class="lineno">  198</span>  sketch-&gt;putKxQ0(kxq0);</div>
-<div class="line"><a id="l00199" name="l00199"></a><span class="lineno">  199</span>  sketch-&gt;putKxQ1(kxq1);</div>
-<div class="line"><a id="l00200" name="l00200"></a><span class="lineno">  200</span> </div>
-<div class="line"><a id="l00201" name="l00201"></a><span class="lineno">  201</span>  <span class="keyword">const</span> <span class="keyword">auto</span> numAtCurMin = read&lt;uint32_t&gt;(is);</div>
-<div class="line"><a id="l00202" name="l00202"></a><span class="lineno">  202</span>  <span class="keyword">const</span> <span class="keyword">auto</span> auxCount = read&lt;uint32_t&gt;(is);</div>
-<div class="line"><a id="l00203" name="l00203"></a><span class="lineno">  203</span>  sketch-&gt;putNumAtCurMin(numAtCurMin);</div>
+<div class="line"><a id="l00112" name="l00112"></a><span class="lineno">  112</span> </div>
+<div class="line"><a id="l00113" name="l00113"></a><span class="lineno">  113</span>  <span class="keyword">const</span> uint8_t lgK = data[hll_constants::LG_K_BYTE];</div>
+<div class="line"><a id="l00114" name="l00114"></a><span class="lineno">  114</span>  <span class="keyword">const</span> uint8_t curMin = data[hll_constants::HLL_CUR_MIN_BYTE];</div>
+<div class="line"><a id="l00115" name="l00115"></a><span class="lineno">  115</span> </div>
+<div class="line"><a id="l00116" name="l00116"></a><span class="lineno">  116</span>  <span class="keyword">const</span> uint32_t arrayBytes = hllArrBytes(tgtHllType, lgK);</div>
+<div class="line"><a id="l00117" name="l00117"></a><span class="lineno">  117</span>  <span class="keywordflow">if</span> (len &lt; <span class="keyword">static_cast&lt;</span><span class="keywordtype">size_t</span><span class="keyword">&gt;</span>(hll_constants::HLL_BYTE_ARR_START + arrayBytes)) {</div>
+<div class="line"><a id="l00118" name="l00118"></a><span class="lineno">  118</span>    <span class="keywordflow">throw</span> std::out_of_range(<span class="stringliteral">&quot;Input array too small to hold sketch image&quot;</span>);</div>
+<div class="line"><a id="l00119" name="l00119"></a><span class="lineno">  119</span>  }</div>
+<div class="line"><a id="l00120" name="l00120"></a><span class="lineno">  120</span> </div>
+<div class="line"><a id="l00121" name="l00121"></a><span class="lineno">  121</span>  <span class="keywordtype">double</span> hip, kxq0, kxq1;</div>
+<div class="line"><a id="l00122" name="l00122"></a><span class="lineno">  122</span>  std::memcpy(&amp;hip, data + hll_constants::HIP_ACCUM_DOUBLE, <span class="keyword">sizeof</span>(<span class="keywordtype">double</span>));</div>
+<div class="line"><a id="l00123" name="l00123"></a><span class="lineno">  123</span>  std::memcpy(&amp;kxq0, data + hll_constants::KXQ0_DOUBLE, <span class="keyword">sizeof</span>(<span class="keywordtype">double</span>));</div>
+<div class="line"><a id="l00124" name="l00124"></a><span class="lineno">  124</span>  std::memcpy(&amp;kxq1, data + hll_constants::KXQ1_DOUBLE, <span class="keyword">sizeof</span>(<span class="keywordtype">double</span>));</div>
+<div class="line"><a id="l00125" name="l00125"></a><span class="lineno">  125</span> </div>
+<div class="line"><a id="l00126" name="l00126"></a><span class="lineno">  126</span>  uint32_t numAtCurMin, auxCount;</div>
+<div class="line"><a id="l00127" name="l00127"></a><span class="lineno">  127</span>  std::memcpy(&amp;numAtCurMin, data + hll_constants::CUR_MIN_COUNT_INT, <span class="keyword">sizeof</span>(<span class="keywordtype">int</span>));</div>
+<div class="line"><a id="l00128" name="l00128"></a><span class="lineno">  128</span>  std::memcpy(&amp;auxCount, data + hll_constants::AUX_COUNT_INT, <span class="keyword">sizeof</span>(<span class="keywordtype">int</span>));</div>
+<div class="line"><a id="l00129" name="l00129"></a><span class="lineno">  129</span> </div>
+<div class="line"><a id="l00130" name="l00130"></a><span class="lineno">  130</span>  AuxHashMap&lt;A&gt;* auxHashMap = <span class="keyword">nullptr</span>;</div>
+<div class="line"><a id="l00131" name="l00131"></a><span class="lineno">  131</span>  <span class="keyword">typedef</span> std::unique_ptr&lt;AuxHashMap&lt;A&gt;, std::function&lt;void(AuxHashMap&lt;A&gt;*)&gt;&gt; aux_hash_map_ptr;</div>
+<div class="line"><a id="l00132" name="l00132"></a><span class="lineno">  132</span>  aux_hash_map_ptr aux_ptr;</div>
+<div class="line"><a id="l00133" name="l00133"></a><span class="lineno">  133</span>  <span class="keywordflow">if</span> (auxCount &gt; 0) { <span class="comment">// necessarily TgtHllType == HLL_4</span></div>
+<div class="line"><a id="l00134" name="l00134"></a><span class="lineno">  134</span>    uint8_t auxLgIntArrSize = data[4];</div>
+<div class="line"><a id="l00135" name="l00135"></a><span class="lineno">  135</span>    <span class="keyword">const</span> <span class="keywordtype">size_t</span> offset = hll_constants::HLL_BYTE_ARR_START + arrayBytes;</div>
+<div class="line"><a id="l00136" name="l00136"></a><span class="lineno">  136</span>    <span class="keyword">const</span> uint8_t* auxDataStart = data + offset;</div>
+<div class="line"><a id="l00137" name="l00137"></a><span class="lineno">  137</span>    auxHashMap = AuxHashMap&lt;A&gt;::deserialize(auxDataStart, len - offset, lgK, auxCount, auxLgIntArrSize, comapctFlag, allocator);</div>
+<div class="line"><a id="l00138" name="l00138"></a><span class="lineno">  138</span>    aux_ptr = aux_hash_map_ptr(auxHashMap, auxHashMap-&gt;make_deleter());</div>
+<div class="line"><a id="l00139" name="l00139"></a><span class="lineno">  139</span>  }</div>
+<div class="line"><a id="l00140" name="l00140"></a><span class="lineno">  140</span> </div>
+<div class="line"><a id="l00141" name="l00141"></a><span class="lineno">  141</span>  HllArray&lt;A&gt;* sketch = HllSketchImplFactory&lt;A&gt;::newHll(lgK, tgtHllType, allocator);</div>
+<div class="line"><a id="l00142" name="l00142"></a><span class="lineno">  142</span>  sketch-&gt;putCurMin(curMin);</div>
+<div class="line"><a id="l00143" name="l00143"></a><span class="lineno">  143</span>  sketch-&gt;putOutOfOrderFlag(oooFlag);</div>
+<div class="line"><a id="l00144" name="l00144"></a><span class="lineno">  144</span>  <span class="keywordflow">if</span> (!oooFlag) { sketch-&gt;putHipAccum(hip); }</div>
+<div class="line"><a id="l00145" name="l00145"></a><span class="lineno">  145</span>  sketch-&gt;putKxQ0(kxq0);</div>
+<div class="line"><a id="l00146" name="l00146"></a><span class="lineno">  146</span>  sketch-&gt;putKxQ1(kxq1);</div>
+<div class="line"><a id="l00147" name="l00147"></a><span class="lineno">  147</span>  sketch-&gt;putNumAtCurMin(numAtCurMin);</div>
+<div class="line"><a id="l00148" name="l00148"></a><span class="lineno">  148</span> </div>
+<div class="line"><a id="l00149" name="l00149"></a><span class="lineno">  149</span>  std::memcpy(sketch-&gt;hllByteArr_.data(), data + hll_constants::HLL_BYTE_ARR_START, arrayBytes);</div>
+<div class="line"><a id="l00150" name="l00150"></a><span class="lineno">  150</span> </div>
+<div class="line"><a id="l00151" name="l00151"></a><span class="lineno">  151</span>  <span class="keywordflow">if</span> (auxHashMap != <span class="keyword">nullptr</span>) {</div>
+<div class="line"><a id="l00152" name="l00152"></a><span class="lineno">  152</span>    ((Hll4Array&lt;A&gt;*)sketch)-&gt;putAuxHashMap(auxHashMap);</div>
+<div class="line"><a id="l00153" name="l00153"></a><span class="lineno">  153</span>  }</div>
+<div class="line"><a id="l00154" name="l00154"></a><span class="lineno">  154</span> </div>
+<div class="line"><a id="l00155" name="l00155"></a><span class="lineno">  155</span>  aux_ptr.release();</div>
+<div class="line"><a id="l00156" name="l00156"></a><span class="lineno">  156</span>  <span class="keywordflow">return</span> sketch;</div>
+<div class="line"><a id="l00157" name="l00157"></a><span class="lineno">  157</span>}</div>
+<div class="line"><a id="l00158" name="l00158"></a><span class="lineno">  158</span> </div>
+<div class="line"><a id="l00159" name="l00159"></a><span class="lineno">  159</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00160" name="l00160"></a><span class="lineno">  160</span>HllArray&lt;A&gt;* HllArray&lt;A&gt;::newHll(std::istream&amp; is, <span class="keyword">const</span> A&amp; allocator) {</div>
+<div class="line"><a id="l00161" name="l00161"></a><span class="lineno">  161</span>  uint8_t listHeader[8];</div>
+<div class="line"><a id="l00162" name="l00162"></a><span class="lineno">  162</span>  read(is, listHeader, 8 * <span class="keyword">sizeof</span>(uint8_t));</div>
+<div class="line"><a id="l00163" name="l00163"></a><span class="lineno">  163</span> </div>
+<div class="line"><a id="l00164" name="l00164"></a><span class="lineno">  164</span>  <span class="keywordflow">if</span> (listHeader[hll_constants::PREAMBLE_INTS_BYTE] != hll_constants::HLL_PREINTS) {</div>
+<div class="line"><a id="l00165" name="l00165"></a><span class="lineno">  165</span>    <span class="keywordflow">throw</span> std::invalid_argument(<span class="stringliteral">&quot;Incorrect number of preInts in input stream&quot;</span>);</div>
+<div class="line"><a id="l00166" name="l00166"></a><span class="lineno">  166</span>  }</div>
+<div class="line"><a id="l00167" name="l00167"></a><span class="lineno">  167</span>  <span class="keywordflow">if</span> (listHeader[hll_constants::SER_VER_BYTE] != hll_constants::SER_VER) {</div>
+<div class="line"><a id="l00168" name="l00168"></a><span class="lineno">  168</span>    <span class="keywordflow">throw</span> std::invalid_argument(<span class="stringliteral">&quot;Wrong ser ver in input stream&quot;</span>);</div>
+<div class="line"><a id="l00169" name="l00169"></a><span class="lineno">  169</span>  }</div>
+<div class="line"><a id="l00170" name="l00170"></a><span class="lineno">  170</span>  <span class="keywordflow">if</span> (listHeader[hll_constants::FAMILY_BYTE] != hll_constants::FAMILY_ID) {</div>
+<div class="line"><a id="l00171" name="l00171"></a><span class="lineno">  171</span>    <span class="keywordflow">throw</span> std::invalid_argument(<span class="stringliteral">&quot;Input stream is not an HLL sketch&quot;</span>);</div>
+<div class="line"><a id="l00172" name="l00172"></a><span class="lineno">  172</span>  }</div>
+<div class="line"><a id="l00173" name="l00173"></a><span class="lineno">  173</span> </div>
+<div class="line"><a id="l00174" name="l00174"></a><span class="lineno">  174</span>  hll_mode mode = HllSketchImpl&lt;A&gt;::extractCurMode(listHeader[hll_constants::MODE_BYTE]);</div>
+<div class="line"><a id="l00175" name="l00175"></a><span class="lineno">  175</span>  <span class="keywordflow">if</span> (mode != HLL) {</div>
+<div class="line"><a id="l00176" name="l00176"></a><span class="lineno">  176</span>    <span class="keywordflow">throw</span> std::invalid_argument(<span class="stringliteral">&quot;Calling HLL constructor with non-HLL mode data&quot;</span>);</div>
+<div class="line"><a id="l00177" name="l00177"></a><span class="lineno">  177</span>  }</div>
+<div class="line"><a id="l00178" name="l00178"></a><span class="lineno">  178</span> </div>
+<div class="line"><a id="l00179" name="l00179"></a><span class="lineno">  179</span>  <span class="keyword">const</span> <a class="code hl_enumeration" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4">target_hll_type</a> tgtHllType = HllSketchImpl&lt;A&gt;::extractTgtHllType(listHeader[hll_constants::MODE_BYTE]);</div>
+<div class="line"><a id="l00180" name="l00180"></a><span class="lineno">  180</span>  <span class="keyword">const</span> <span class="keywordtype">bool</span> oooFlag = ((listHeader[hll_constants::FLAGS_BYTE] &amp; hll_constants::OUT_OF_ORDER_FLAG_MASK) ? <span class="keyword">true</span> : false);</div>
+<div class="line"><a id="l00181" name="l00181"></a><span class="lineno">  181</span>  <span class="keyword">const</span> <span class="keywordtype">bool</span> comapctFlag = ((listHeader[hll_constants::FLAGS_BYTE] &amp; hll_constants::COMPACT_FLAG_MASK) ? <span class="keyword">true</span> : false);</div>
+<div class="line"><a id="l00182" name="l00182"></a><span class="lineno">  182</span> </div>
+<div class="line"><a id="l00183" name="l00183"></a><span class="lineno">  183</span>  <span class="keyword">const</span> uint8_t lgK = listHeader[hll_constants::LG_K_BYTE];</div>
+<div class="line"><a id="l00184" name="l00184"></a><span class="lineno">  184</span>  <span class="keyword">const</span> uint8_t curMin = listHeader[hll_constants::HLL_CUR_MIN_BYTE];</div>
+<div class="line"><a id="l00185" name="l00185"></a><span class="lineno">  185</span> </div>
+<div class="line"><a id="l00186" name="l00186"></a><span class="lineno">  186</span>  HllArray* sketch = HllSketchImplFactory&lt;A&gt;::newHll(lgK, tgtHllType, allocator);</div>
+<div class="line"><a id="l00187" name="l00187"></a><span class="lineno">  187</span>  <span class="keyword">typedef</span> std::unique_ptr&lt;HllArray&lt;A&gt;, std::function&lt;void(HllSketchImpl&lt;A&gt;*)&gt;&gt; hll_array_ptr;</div>
+<div class="line"><a id="l00188" name="l00188"></a><span class="lineno">  188</span>  hll_array_ptr sketch_ptr(sketch, sketch-&gt;get_deleter());</div>
+<div class="line"><a id="l00189" name="l00189"></a><span class="lineno">  189</span>  sketch-&gt;putCurMin(curMin);</div>
+<div class="line"><a id="l00190" name="l00190"></a><span class="lineno">  190</span>  sketch-&gt;putOutOfOrderFlag(oooFlag);</div>
+<div class="line"><a id="l00191" name="l00191"></a><span class="lineno">  191</span> </div>
+<div class="line"><a id="l00192" name="l00192"></a><span class="lineno">  192</span>  <span class="keyword">const</span> <span class="keyword">auto</span> hip = read&lt;double&gt;(is);</div>
+<div class="line"><a id="l00193" name="l00193"></a><span class="lineno">  193</span>  <span class="keyword">const</span> <span class="keyword">auto</span> kxq0 = read&lt;double&gt;(is);</div>
+<div class="line"><a id="l00194" name="l00194"></a><span class="lineno">  194</span>  <span class="keyword">const</span> <span class="keyword">auto</span> kxq1 = read&lt;double&gt;(is);</div>
+<div class="line"><a id="l00195" name="l00195"></a><span class="lineno">  195</span>  <span class="keywordflow">if</span> (!oooFlag) { sketch-&gt;putHipAccum(hip); }</div>
+<div class="line"><a id="l00196" name="l00196"></a><span class="lineno">  196</span>  sketch-&gt;putKxQ0(kxq0);</div>
+<div class="line"><a id="l00197" name="l00197"></a><span class="lineno">  197</span>  sketch-&gt;putKxQ1(kxq1);</div>
+<div class="line"><a id="l00198" name="l00198"></a><span class="lineno">  198</span> </div>
+<div class="line"><a id="l00199" name="l00199"></a><span class="lineno">  199</span>  <span class="keyword">const</span> <span class="keyword">auto</span> numAtCurMin = read&lt;uint32_t&gt;(is);</div>
+<div class="line"><a id="l00200" name="l00200"></a><span class="lineno">  200</span>  <span class="keyword">const</span> <span class="keyword">auto</span> auxCount = read&lt;uint32_t&gt;(is);</div>
+<div class="line"><a id="l00201" name="l00201"></a><span class="lineno">  201</span>  sketch-&gt;putNumAtCurMin(numAtCurMin);</div>
+<div class="line"><a id="l00202" name="l00202"></a><span class="lineno">  202</span>  </div>
+<div class="line"><a id="l00203" name="l00203"></a><span class="lineno">  203</span>  read(is, sketch-&gt;hllByteArr_.data(), sketch-&gt;getHllByteArrBytes());</div>
 <div class="line"><a id="l00204" name="l00204"></a><span class="lineno">  204</span>  </div>
-<div class="line"><a id="l00205" name="l00205"></a><span class="lineno">  205</span>  read(is, sketch-&gt;hllByteArr_.data(), sketch-&gt;getHllByteArrBytes());</div>
-<div class="line"><a id="l00206" name="l00206"></a><span class="lineno">  206</span>  </div>
-<div class="line"><a id="l00207" name="l00207"></a><span class="lineno">  207</span>  <span class="keywordflow">if</span> (auxCount &gt; 0) { <span class="comment">// necessarily TgtHllType == HLL_4</span></div>
-<div class="line"><a id="l00208" name="l00208"></a><span class="lineno">  208</span>    uint8_t auxLgIntArrSize = listHeader[4];</div>
-<div class="line"><a id="l00209" name="l00209"></a><span class="lineno">  209</span>    AuxHashMap&lt;A&gt;* auxHashMap = AuxHashMap&lt;A&gt;::deserialize(is, lgK, auxCount, auxLgIntArrSize, comapctFlag, allocator);</div>
-<div class="line"><a id="l00210" name="l00210"></a><span class="lineno">  210</span>    ((Hll4Array&lt;A&gt;*)sketch)-&gt;putAuxHashMap(auxHashMap);</div>
-<div class="line"><a id="l00211" name="l00211"></a><span class="lineno">  211</span>  }</div>
+<div class="line"><a id="l00205" name="l00205"></a><span class="lineno">  205</span>  <span class="keywordflow">if</span> (auxCount &gt; 0) { <span class="comment">// necessarily TgtHllType == HLL_4</span></div>
+<div class="line"><a id="l00206" name="l00206"></a><span class="lineno">  206</span>    uint8_t auxLgIntArrSize = listHeader[4];</div>
+<div class="line"><a id="l00207" name="l00207"></a><span class="lineno">  207</span>    AuxHashMap&lt;A&gt;* auxHashMap = AuxHashMap&lt;A&gt;::deserialize(is, lgK, auxCount, auxLgIntArrSize, comapctFlag, allocator);</div>
+<div class="line"><a id="l00208" name="l00208"></a><span class="lineno">  208</span>    ((Hll4Array&lt;A&gt;*)sketch)-&gt;putAuxHashMap(auxHashMap);</div>
+<div class="line"><a id="l00209" name="l00209"></a><span class="lineno">  209</span>  }</div>
+<div class="line"><a id="l00210" name="l00210"></a><span class="lineno">  210</span> </div>
+<div class="line"><a id="l00211" name="l00211"></a><span class="lineno">  211</span>  <span class="keywordflow">if</span> (!is.good()) { <span class="keywordflow">throw</span> std::runtime_error(<span class="stringliteral">&quot;error reading from std::istream&quot;</span>); } </div>
 <div class="line"><a id="l00212" name="l00212"></a><span class="lineno">  212</span> </div>
-<div class="line"><a id="l00213" name="l00213"></a><span class="lineno">  213</span>  <span class="keywordflow">if</span> (!is.good()) { <span class="keywordflow">throw</span> std::runtime_error(<span class="stringliteral">&quot;error reading from std::istream&quot;</span>); } </div>
-<div class="line"><a id="l00214" name="l00214"></a><span class="lineno">  214</span> </div>
-<div class="line"><a id="l00215" name="l00215"></a><span class="lineno">  215</span>  <span class="keywordflow">return</span> sketch_ptr.release();</div>
-<div class="line"><a id="l00216" name="l00216"></a><span class="lineno">  216</span>}</div>
-<div class="line"><a id="l00217" name="l00217"></a><span class="lineno">  217</span> </div>
-<div class="line"><a id="l00218" name="l00218"></a><span class="lineno">  218</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00219" name="l00219"></a><span class="lineno">  219</span><span class="keyword">auto</span> HllArray&lt;A&gt;::serialize(<span class="keywordtype">bool</span> compact, <span class="keywordtype">unsigned</span> header_size_bytes) <span class="keyword">const</span> -&gt; vector_bytes {</div>
-<div class="line"><a id="l00220" name="l00220"></a><span class="lineno">  220</span>  <span class="keyword">const</span> <span class="keywordtype">size_t</span> sketchSizeBytes = (compact ? getCompactSerializationBytes() : getUpdatableSerializationBytes()) + header_size_bytes;</div>
-<div class="line"><a id="l00221" name="l00221"></a><span class="lineno">  221</span>  vector_bytes byteArr(sketchSizeBytes, 0, getAllocator());</div>
-<div class="line"><a id="l00222" name="l00222"></a><span class="lineno">  222</span>  uint8_t* bytes = byteArr.data() + header_size_bytes;</div>
-<div class="line"><a id="l00223" name="l00223"></a><span class="lineno">  223</span>  AuxHashMap&lt;A&gt;* auxHashMap = getAuxHashMap();</div>
-<div class="line"><a id="l00224" name="l00224"></a><span class="lineno">  224</span> </div>
-<div class="line"><a id="l00225" name="l00225"></a><span class="lineno">  225</span>  bytes[hll_constants::PREAMBLE_INTS_BYTE] = <span class="keyword">static_cast&lt;</span>uint8_t<span class="keyword">&gt;</span>(getPreInts());</div>
-<div class="line"><a id="l00226" name="l00226"></a><span class="lineno">  226</span>  bytes[hll_constants::SER_VER_BYTE] = <span class="keyword">static_cast&lt;</span>uint8_t<span class="keyword">&gt;</span>(hll_constants::SER_VER);</div>
-<div class="line"><a id="l00227" name="l00227"></a><span class="lineno">  227</span>  bytes[hll_constants::FAMILY_BYTE] = <span class="keyword">static_cast&lt;</span>uint8_t<span class="keyword">&gt;</span>(hll_constants::FAMILY_ID);</div>
-<div class="line"><a id="l00228" name="l00228"></a><span class="lineno">  228</span>  bytes[hll_constants::LG_K_BYTE] = <span class="keyword">static_cast&lt;</span>uint8_t<span class="keyword">&gt;</span>(this-&gt;lgConfigK_);</div>
-<div class="line"><a id="l00229" name="l00229"></a><span class="lineno">  229</span>  bytes[hll_constants::LG_ARR_BYTE] = <span class="keyword">static_cast&lt;</span>uint8_t<span class="keyword">&gt;</span>(auxHashMap == <span class="keyword">nullptr</span> ? 0 : auxHashMap-&gt;getLgAuxArrInts());</div>
-<div class="line"><a id="l00230" name="l00230"></a><span class="lineno">  230</span>  bytes[hll_constants::FLAGS_BYTE] = this-&gt;makeFlagsByte(compact);</div>
-<div class="line"><a id="l00231" name="l00231"></a><span class="lineno">  231</span>  bytes[hll_constants::HLL_CUR_MIN_BYTE] = <span class="keyword">static_cast&lt;</span>uint8_t<span class="keyword">&gt;</span>(curMin_);</div>
-<div class="line"><a id="l00232" name="l00232"></a><span class="lineno">  232</span>  bytes[hll_constants::MODE_BYTE] = this-&gt;makeModeByte();</div>
-<div class="line"><a id="l00233" name="l00233"></a><span class="lineno">  233</span> </div>
-<div class="line"><a id="l00234" name="l00234"></a><span class="lineno">  234</span>  std::memcpy(bytes + hll_constants::HIP_ACCUM_DOUBLE, &amp;hipAccum_, <span class="keyword">sizeof</span>(<span class="keywordtype">double</span>));</div>
-<div class="line"><a id="l00235" name="l00235"></a><span class="lineno">  235</span>  std::memcpy(bytes + hll_constants::KXQ0_DOUBLE, &amp;kxq0_, <span class="keyword">sizeof</span>(<span class="keywordtype">double</span>));</div>
-<div class="line"><a id="l00236" name="l00236"></a><span class="lineno">  236</span>  std::memcpy(bytes + hll_constants::KXQ1_DOUBLE, &amp;kxq1_, <span class="keyword">sizeof</span>(<span class="keywordtype">double</span>));</div>
-<div class="line"><a id="l00237" name="l00237"></a><span class="lineno">  237</span>  std::memcpy(bytes + hll_constants::CUR_MIN_COUNT_INT, &amp;numAtCurMin_, <span class="keyword">sizeof</span>(uint32_t));</div>
-<div class="line"><a id="l00238" name="l00238"></a><span class="lineno">  238</span>  <span class="keyword">const</span> uint32_t auxCount = (auxHashMap == <span class="keyword">nullptr</span> ? 0 : auxHashMap-&gt;getAuxCount());</div>
-<div class="line"><a id="l00239" name="l00239"></a><span class="lineno">  239</span>  std::memcpy(bytes + hll_constants::AUX_COUNT_INT, &amp;auxCount, <span class="keyword">sizeof</span>(uint32_t));</div>
-<div class="line"><a id="l00240" name="l00240"></a><span class="lineno">  240</span> </div>
-<div class="line"><a id="l00241" name="l00241"></a><span class="lineno">  241</span>  <span class="keyword">const</span> uint32_t hllByteArrBytes = getHllByteArrBytes();</div>
-<div class="line"><a id="l00242" name="l00242"></a><span class="lineno">  242</span>  std::memcpy(bytes + getMemDataStart(), hllByteArr_.data(), hllByteArrBytes);</div>
-<div class="line"><a id="l00243" name="l00243"></a><span class="lineno">  243</span> </div>
-<div class="line"><a id="l00244" name="l00244"></a><span class="lineno">  244</span>  <span class="comment">// aux map if HLL_4</span></div>
-<div class="line"><a id="l00245" name="l00245"></a><span class="lineno">  245</span>  <span class="keywordflow">if</span> (this-&gt;tgtHllType_ == HLL_4) {</div>
-<div class="line"><a id="l00246" name="l00246"></a><span class="lineno">  246</span>    bytes += getMemDataStart() + hllByteArrBytes; <span class="comment">// start of auxHashMap</span></div>
-<div class="line"><a id="l00247" name="l00247"></a><span class="lineno">  247</span>    <span class="keywordflow">if</span> (auxHashMap != <span class="keyword">nullptr</span>) {</div>
-<div class="line"><a id="l00248" name="l00248"></a><span class="lineno">  248</span>      <span class="keywordflow">if</span> (compact) {</div>
-<div class="line"><a id="l00249" name="l00249"></a><span class="lineno">  249</span>        <span class="keywordflow">for</span> (<span class="keyword">const</span> uint32_t coupon: *auxHashMap) {</div>
-<div class="line"><a id="l00250" name="l00250"></a><span class="lineno">  250</span>          std::memcpy(bytes, &amp;coupon, <span class="keyword">sizeof</span>(coupon));</div>
-<div class="line"><a id="l00251" name="l00251"></a><span class="lineno">  251</span>          bytes += <span class="keyword">sizeof</span>(coupon);</div>
-<div class="line"><a id="l00252" name="l00252"></a><span class="lineno">  252</span>        }</div>
-<div class="line"><a id="l00253" name="l00253"></a><span class="lineno">  253</span>      } <span class="keywordflow">else</span> {</div>
-<div class="line"><a id="l00254" name="l00254"></a><span class="lineno">  254</span>        std::memcpy(bytes, auxHashMap-&gt;getAuxIntArr(), auxHashMap-&gt;getUpdatableSizeBytes());</div>
-<div class="line"><a id="l00255" name="l00255"></a><span class="lineno">  255</span>      }</div>
-<div class="line"><a id="l00256" name="l00256"></a><span class="lineno">  256</span>    } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (!compact) {</div>
-<div class="line"><a id="l00257" name="l00257"></a><span class="lineno">  257</span>      <span class="comment">// if updatable, we write even if currently unused so the binary can be wrapped</span></div>
-<div class="line"><a id="l00258" name="l00258"></a><span class="lineno">  258</span>      uint32_t auxBytes = 4 &lt;&lt; hll_constants::LG_AUX_ARR_INTS[this-&gt;lgConfigK_];</div>
-<div class="line"><a id="l00259" name="l00259"></a><span class="lineno">  259</span>      std::fill_n(bytes, auxBytes, <span class="keyword">static_cast&lt;</span>uint8_t<span class="keyword">&gt;</span>(0));</div>
-<div class="line"><a id="l00260" name="l00260"></a><span class="lineno">  260</span>    }</div>
-<div class="line"><a id="l00261" name="l00261"></a><span class="lineno">  261</span>  }</div>
-<div class="line"><a id="l00262" name="l00262"></a><span class="lineno">  262</span> </div>
-<div class="line"><a id="l00263" name="l00263"></a><span class="lineno">  263</span>  <span class="keywordflow">return</span> byteArr;</div>
-<div class="line"><a id="l00264" name="l00264"></a><span class="lineno">  264</span>}</div>
-<div class="line"><a id="l00265" name="l00265"></a><span class="lineno">  265</span> </div>
-<div class="line"><a id="l00266" name="l00266"></a><span class="lineno">  266</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00267" name="l00267"></a><span class="lineno">  267</span><span class="keywordtype">void</span> HllArray&lt;A&gt;::serialize(std::ostream&amp; os, <span class="keywordtype">bool</span> compact)<span class="keyword"> const </span>{</div>
-<div class="line"><a id="l00268" name="l00268"></a><span class="lineno">  268</span>  <span class="comment">// header</span></div>
-<div class="line"><a id="l00269" name="l00269"></a><span class="lineno">  269</span>  <span class="keyword">const</span> uint8_t preInts = getPreInts();</div>
-<div class="line"><a id="l00270" name="l00270"></a><span class="lineno">  270</span>  write(os, preInts);</div>
-<div class="line"><a id="l00271" name="l00271"></a><span class="lineno">  271</span>  <span class="keyword">const</span> uint8_t serialVersion = hll_constants::SER_VER;</div>
-<div class="line"><a id="l00272" name="l00272"></a><span class="lineno">  272</span>  write(os, serialVersion);</div>
-<div class="line"><a id="l00273" name="l00273"></a><span class="lineno">  273</span>  <span class="keyword">const</span> uint8_t familyId = hll_constants::FAMILY_ID;</div>
-<div class="line"><a id="l00274" name="l00274"></a><span class="lineno">  274</span>  write(os, familyId);</div>
-<div class="line"><a id="l00275" name="l00275"></a><span class="lineno">  275</span>  <span class="keyword">const</span> uint8_t lgKByte = this-&gt;lgConfigK_;</div>
-<div class="line"><a id="l00276" name="l00276"></a><span class="lineno">  276</span>  write(os, lgKByte);</div>
-<div class="line"><a id="l00277" name="l00277"></a><span class="lineno">  277</span> </div>
-<div class="line"><a id="l00278" name="l00278"></a><span class="lineno">  278</span>  AuxHashMap&lt;A&gt;* auxHashMap = getAuxHashMap();</div>
-<div class="line"><a id="l00279" name="l00279"></a><span class="lineno">  279</span>  uint8_t lgArrByte = 0;</div>
-<div class="line"><a id="l00280" name="l00280"></a><span class="lineno">  280</span>  <span class="keywordflow">if</span> (auxHashMap != <span class="keyword">nullptr</span>) {</div>
-<div class="line"><a id="l00281" name="l00281"></a><span class="lineno">  281</span>    lgArrByte = auxHashMap-&gt;getLgAuxArrInts();</div>
-<div class="line"><a id="l00282" name="l00282"></a><span class="lineno">  282</span>  }</div>
-<div class="line"><a id="l00283" name="l00283"></a><span class="lineno">  283</span>  write(os, lgArrByte);</div>
-<div class="line"><a id="l00284" name="l00284"></a><span class="lineno">  284</span> </div>
-<div class="line"><a id="l00285" name="l00285"></a><span class="lineno">  285</span>  <span class="keyword">const</span> uint8_t flagsByte = this-&gt;makeFlagsByte(compact);</div>
-<div class="line"><a id="l00286" name="l00286"></a><span class="lineno">  286</span>  write(os, flagsByte);</div>
-<div class="line"><a id="l00287" name="l00287"></a><span class="lineno">  287</span>  write(os, curMin_);</div>
-<div class="line"><a id="l00288" name="l00288"></a><span class="lineno">  288</span>  <span class="keyword">const</span> uint8_t modeByte = this-&gt;makeModeByte();</div>
-<div class="line"><a id="l00289" name="l00289"></a><span class="lineno">  289</span>  write(os, modeByte);</div>
-<div class="line"><a id="l00290" name="l00290"></a><span class="lineno">  290</span> </div>
-<div class="line"><a id="l00291" name="l00291"></a><span class="lineno">  291</span>  <span class="comment">// estimator data</span></div>
-<div class="line"><a id="l00292" name="l00292"></a><span class="lineno">  292</span>  write(os, hipAccum_);</div>
-<div class="line"><a id="l00293" name="l00293"></a><span class="lineno">  293</span>  write(os, kxq0_);</div>
-<div class="line"><a id="l00294" name="l00294"></a><span class="lineno">  294</span>  write(os, kxq1_);</div>
-<div class="line"><a id="l00295" name="l00295"></a><span class="lineno">  295</span> </div>
-<div class="line"><a id="l00296" name="l00296"></a><span class="lineno">  296</span>  <span class="comment">// array data</span></div>
-<div class="line"><a id="l00297" name="l00297"></a><span class="lineno">  297</span>  write(os, numAtCurMin_);</div>
-<div class="line"><a id="l00298" name="l00298"></a><span class="lineno">  298</span> </div>
-<div class="line"><a id="l00299" name="l00299"></a><span class="lineno">  299</span>  <span class="keyword">const</span> uint32_t auxCount = (auxHashMap == <span class="keyword">nullptr</span> ? 0 : auxHashMap-&gt;getAuxCount());</div>
-<div class="line"><a id="l00300" name="l00300"></a><span class="lineno">  300</span>  write(os, auxCount);</div>
-<div class="line"><a id="l00301" name="l00301"></a><span class="lineno">  301</span>  write(os, hllByteArr_.data(), getHllByteArrBytes());</div>
-<div class="line"><a id="l00302" name="l00302"></a><span class="lineno">  302</span> </div>
-<div class="line"><a id="l00303" name="l00303"></a><span class="lineno">  303</span>  <span class="comment">// aux map if HLL_4</span></div>
-<div class="line"><a id="l00304" name="l00304"></a><span class="lineno">  304</span>  <span class="keywordflow">if</span> (this-&gt;tgtHllType_ == HLL_4) {</div>
-<div class="line"><a id="l00305" name="l00305"></a><span class="lineno">  305</span>    <span class="keywordflow">if</span> (auxHashMap != <span class="keyword">nullptr</span>) {</div>
-<div class="line"><a id="l00306" name="l00306"></a><span class="lineno">  306</span>      <span class="keywordflow">if</span> (compact) {</div>
-<div class="line"><a id="l00307" name="l00307"></a><span class="lineno">  307</span>        <span class="keywordflow">for</span> (<span class="keyword">const</span> uint32_t coupon: *auxHashMap) {</div>
-<div class="line"><a id="l00308" name="l00308"></a><span class="lineno">  308</span>          write(os, coupon);</div>
-<div class="line"><a id="l00309" name="l00309"></a><span class="lineno">  309</span>        }</div>
-<div class="line"><a id="l00310" name="l00310"></a><span class="lineno">  310</span>      } <span class="keywordflow">else</span> {</div>
-<div class="line"><a id="l00311" name="l00311"></a><span class="lineno">  311</span>        write(os, auxHashMap-&gt;getAuxIntArr(), auxHashMap-&gt;getUpdatableSizeBytes());</div>
-<div class="line"><a id="l00312" name="l00312"></a><span class="lineno">  312</span>      }</div>
-<div class="line"><a id="l00313" name="l00313"></a><span class="lineno">  313</span>    } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (!compact) {</div>
-<div class="line"><a id="l00314" name="l00314"></a><span class="lineno">  314</span>      <span class="comment">// if updatable, we write even if currently unused so the binary can be wrapped      </span></div>
-<div class="line"><a id="l00315" name="l00315"></a><span class="lineno">  315</span>      uint32_t auxBytes = 4 &lt;&lt; hll_constants::LG_AUX_ARR_INTS[this-&gt;lgConfigK_];</div>
-<div class="line"><a id="l00316" name="l00316"></a><span class="lineno">  316</span>      std::fill_n(std::ostreambuf_iterator&lt;char&gt;(os), auxBytes, <span class="keyword">static_cast&lt;</span><span class="keywordtype">char</span><span class="keyword">&gt;</span>(0));</div>
-<div class="line"><a id="l00317" name="l00317"></a><span class="lineno">  317</span>    }</div>
-<div class="line"><a id="l00318" name="l00318"></a><span class="lineno">  318</span>  }</div>
-<div class="line"><a id="l00319" name="l00319"></a><span class="lineno">  319</span>}</div>
-<div class="line"><a id="l00320" name="l00320"></a><span class="lineno">  320</span> </div>
-<div class="line"><a id="l00321" name="l00321"></a><span class="lineno">  321</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00322" name="l00322"></a><span class="lineno">  322</span><span class="keywordtype">double</span> HllArray&lt;A&gt;::getEstimate()<span class="keyword"> const </span>{</div>
-<div class="line"><a id="l00323" name="l00323"></a><span class="lineno">  323</span>  <span class="keywordflow">if</span> (oooFlag_) {</div>
-<div class="line"><a id="l00324" name="l00324"></a><span class="lineno">  324</span>    <span class="keywordflow">return</span> getCompositeEstimate();</div>
-<div class="line"><a id="l00325" name="l00325"></a><span class="lineno">  325</span>  }</div>
-<div class="line"><a id="l00326" name="l00326"></a><span class="lineno">  326</span>  <span class="keywordflow">return</span> hipAccum_;</div>
-<div class="line"><a id="l00327" name="l00327"></a><span class="lineno">  327</span>}</div>
+<div class="line"><a id="l00213" name="l00213"></a><span class="lineno">  213</span>  <span class="keywordflow">return</span> sketch_ptr.release();</div>
+<div class="line"><a id="l00214" name="l00214"></a><span class="lineno">  214</span>}</div>
+<div class="line"><a id="l00215" name="l00215"></a><span class="lineno">  215</span> </div>
+<div class="line"><a id="l00216" name="l00216"></a><span class="lineno">  216</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00217" name="l00217"></a><span class="lineno">  217</span><span class="keyword">auto</span> HllArray&lt;A&gt;::serialize(<span class="keywordtype">bool</span> compact, <span class="keywordtype">unsigned</span> header_size_bytes) <span class="keyword">const</span> -&gt; vector_bytes {</div>
+<div class="line"><a id="l00218" name="l00218"></a><span class="lineno">  218</span>  <span class="keyword">const</span> <span class="keywordtype">size_t</span> sketchSizeBytes = (compact ? getCompactSerializationBytes() : getUpdatableSerializationBytes()) + header_size_bytes;</div>
+<div class="line"><a id="l00219" name="l00219"></a><span class="lineno">  219</span>  vector_bytes byteArr(sketchSizeBytes, 0, getAllocator());</div>
+<div class="line"><a id="l00220" name="l00220"></a><span class="lineno">  220</span>  uint8_t* bytes = byteArr.data() + header_size_bytes;</div>
+<div class="line"><a id="l00221" name="l00221"></a><span class="lineno">  221</span>  AuxHashMap&lt;A&gt;* auxHashMap = getAuxHashMap();</div>
+<div class="line"><a id="l00222" name="l00222"></a><span class="lineno">  222</span> </div>
+<div class="line"><a id="l00223" name="l00223"></a><span class="lineno">  223</span>  bytes[hll_constants::PREAMBLE_INTS_BYTE] = <span class="keyword">static_cast&lt;</span>uint8_t<span class="keyword">&gt;</span>(getPreInts());</div>
+<div class="line"><a id="l00224" name="l00224"></a><span class="lineno">  224</span>  bytes[hll_constants::SER_VER_BYTE] = <span class="keyword">static_cast&lt;</span>uint8_t<span class="keyword">&gt;</span>(hll_constants::SER_VER);</div>
+<div class="line"><a id="l00225" name="l00225"></a><span class="lineno">  225</span>  bytes[hll_constants::FAMILY_BYTE] = <span class="keyword">static_cast&lt;</span>uint8_t<span class="keyword">&gt;</span>(hll_constants::FAMILY_ID);</div>
+<div class="line"><a id="l00226" name="l00226"></a><span class="lineno">  226</span>  bytes[hll_constants::LG_K_BYTE] = <span class="keyword">static_cast&lt;</span>uint8_t<span class="keyword">&gt;</span>(this-&gt;lgConfigK_);</div>
+<div class="line"><a id="l00227" name="l00227"></a><span class="lineno">  227</span>  bytes[hll_constants::LG_ARR_BYTE] = <span class="keyword">static_cast&lt;</span>uint8_t<span class="keyword">&gt;</span>(auxHashMap == <span class="keyword">nullptr</span> ? 0 : auxHashMap-&gt;getLgAuxArrInts());</div>
+<div class="line"><a id="l00228" name="l00228"></a><span class="lineno">  228</span>  bytes[hll_constants::FLAGS_BYTE] = this-&gt;makeFlagsByte(compact);</div>
+<div class="line"><a id="l00229" name="l00229"></a><span class="lineno">  229</span>  bytes[hll_constants::HLL_CUR_MIN_BYTE] = <span class="keyword">static_cast&lt;</span>uint8_t<span class="keyword">&gt;</span>(curMin_);</div>
+<div class="line"><a id="l00230" name="l00230"></a><span class="lineno">  230</span>  bytes[hll_constants::MODE_BYTE] = this-&gt;makeModeByte();</div>
+<div class="line"><a id="l00231" name="l00231"></a><span class="lineno">  231</span> </div>
+<div class="line"><a id="l00232" name="l00232"></a><span class="lineno">  232</span>  std::memcpy(bytes + hll_constants::HIP_ACCUM_DOUBLE, &amp;hipAccum_, <span class="keyword">sizeof</span>(<span class="keywordtype">double</span>));</div>
+<div class="line"><a id="l00233" name="l00233"></a><span class="lineno">  233</span>  std::memcpy(bytes + hll_constants::KXQ0_DOUBLE, &amp;kxq0_, <span class="keyword">sizeof</span>(<span class="keywordtype">double</span>));</div>
+<div class="line"><a id="l00234" name="l00234"></a><span class="lineno">  234</span>  std::memcpy(bytes + hll_constants::KXQ1_DOUBLE, &amp;kxq1_, <span class="keyword">sizeof</span>(<span class="keywordtype">double</span>));</div>
+<div class="line"><a id="l00235" name="l00235"></a><span class="lineno">  235</span>  std::memcpy(bytes + hll_constants::CUR_MIN_COUNT_INT, &amp;numAtCurMin_, <span class="keyword">sizeof</span>(uint32_t));</div>
+<div class="line"><a id="l00236" name="l00236"></a><span class="lineno">  236</span>  <span class="keyword">const</span> uint32_t auxCount = (auxHashMap == <span class="keyword">nullptr</span> ? 0 : auxHashMap-&gt;getAuxCount());</div>
+<div class="line"><a id="l00237" name="l00237"></a><span class="lineno">  237</span>  std::memcpy(bytes + hll_constants::AUX_COUNT_INT, &amp;auxCount, <span class="keyword">sizeof</span>(uint32_t));</div>
+<div class="line"><a id="l00238" name="l00238"></a><span class="lineno">  238</span> </div>
+<div class="line"><a id="l00239" name="l00239"></a><span class="lineno">  239</span>  <span class="keyword">const</span> uint32_t hllByteArrBytes = getHllByteArrBytes();</div>
+<div class="line"><a id="l00240" name="l00240"></a><span class="lineno">  240</span>  std::memcpy(bytes + getMemDataStart(), hllByteArr_.data(), hllByteArrBytes);</div>
+<div class="line"><a id="l00241" name="l00241"></a><span class="lineno">  241</span> </div>
+<div class="line"><a id="l00242" name="l00242"></a><span class="lineno">  242</span>  <span class="comment">// aux map if HLL_4</span></div>
+<div class="line"><a id="l00243" name="l00243"></a><span class="lineno">  243</span>  <span class="keywordflow">if</span> (this-&gt;tgtHllType_ == HLL_4) {</div>
+<div class="line"><a id="l00244" name="l00244"></a><span class="lineno">  244</span>    bytes += getMemDataStart() + hllByteArrBytes; <span class="comment">// start of auxHashMap</span></div>
+<div class="line"><a id="l00245" name="l00245"></a><span class="lineno">  245</span>    <span class="keywordflow">if</span> (auxHashMap != <span class="keyword">nullptr</span>) {</div>
+<div class="line"><a id="l00246" name="l00246"></a><span class="lineno">  246</span>      <span class="keywordflow">if</span> (compact) {</div>
+<div class="line"><a id="l00247" name="l00247"></a><span class="lineno">  247</span>        <span class="keywordflow">for</span> (<span class="keyword">const</span> uint32_t coupon: *auxHashMap) {</div>
+<div class="line"><a id="l00248" name="l00248"></a><span class="lineno">  248</span>          std::memcpy(bytes, &amp;coupon, <span class="keyword">sizeof</span>(coupon));</div>
+<div class="line"><a id="l00249" name="l00249"></a><span class="lineno">  249</span>          bytes += <span class="keyword">sizeof</span>(coupon);</div>
+<div class="line"><a id="l00250" name="l00250"></a><span class="lineno">  250</span>        }</div>
+<div class="line"><a id="l00251" name="l00251"></a><span class="lineno">  251</span>      } <span class="keywordflow">else</span> {</div>
+<div class="line"><a id="l00252" name="l00252"></a><span class="lineno">  252</span>        std::memcpy(bytes, auxHashMap-&gt;getAuxIntArr(), auxHashMap-&gt;getUpdatableSizeBytes());</div>
+<div class="line"><a id="l00253" name="l00253"></a><span class="lineno">  253</span>      }</div>
+<div class="line"><a id="l00254" name="l00254"></a><span class="lineno">  254</span>    } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (!compact) {</div>
+<div class="line"><a id="l00255" name="l00255"></a><span class="lineno">  255</span>      <span class="comment">// if updatable, we write even if currently unused so the binary can be wrapped</span></div>
+<div class="line"><a id="l00256" name="l00256"></a><span class="lineno">  256</span>      uint32_t auxBytes = 4 &lt;&lt; hll_constants::LG_AUX_ARR_INTS[this-&gt;lgConfigK_];</div>
+<div class="line"><a id="l00257" name="l00257"></a><span class="lineno">  257</span>      std::fill_n(bytes, auxBytes, <span class="keyword">static_cast&lt;</span>uint8_t<span class="keyword">&gt;</span>(0));</div>
+<div class="line"><a id="l00258" name="l00258"></a><span class="lineno">  258</span>    }</div>
+<div class="line"><a id="l00259" name="l00259"></a><span class="lineno">  259</span>  }</div>
+<div class="line"><a id="l00260" name="l00260"></a><span class="lineno">  260</span> </div>
+<div class="line"><a id="l00261" name="l00261"></a><span class="lineno">  261</span>  <span class="keywordflow">return</span> byteArr;</div>
+<div class="line"><a id="l00262" name="l00262"></a><span class="lineno">  262</span>}</div>
+<div class="line"><a id="l00263" name="l00263"></a><span class="lineno">  263</span> </div>
+<div class="line"><a id="l00264" name="l00264"></a><span class="lineno">  264</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00265" name="l00265"></a><span class="lineno">  265</span><span class="keywordtype">void</span> HllArray&lt;A&gt;::serialize(std::ostream&amp; os, <span class="keywordtype">bool</span> compact)<span class="keyword"> const </span>{</div>
+<div class="line"><a id="l00266" name="l00266"></a><span class="lineno">  266</span>  <span class="comment">// header</span></div>
+<div class="line"><a id="l00267" name="l00267"></a><span class="lineno">  267</span>  <span class="keyword">const</span> uint8_t preInts = getPreInts();</div>
+<div class="line"><a id="l00268" name="l00268"></a><span class="lineno">  268</span>  write(os, preInts);</div>
+<div class="line"><a id="l00269" name="l00269"></a><span class="lineno">  269</span>  <span class="keyword">const</span> uint8_t serialVersion = hll_constants::SER_VER;</div>
+<div class="line"><a id="l00270" name="l00270"></a><span class="lineno">  270</span>  write(os, serialVersion);</div>
+<div class="line"><a id="l00271" name="l00271"></a><span class="lineno">  271</span>  <span class="keyword">const</span> uint8_t familyId = hll_constants::FAMILY_ID;</div>
+<div class="line"><a id="l00272" name="l00272"></a><span class="lineno">  272</span>  write(os, familyId);</div>
+<div class="line"><a id="l00273" name="l00273"></a><span class="lineno">  273</span>  <span class="keyword">const</span> uint8_t lgKByte = this-&gt;lgConfigK_;</div>
+<div class="line"><a id="l00274" name="l00274"></a><span class="lineno">  274</span>  write(os, lgKByte);</div>
+<div class="line"><a id="l00275" name="l00275"></a><span class="lineno">  275</span> </div>
+<div class="line"><a id="l00276" name="l00276"></a><span class="lineno">  276</span>  AuxHashMap&lt;A&gt;* auxHashMap = getAuxHashMap();</div>
+<div class="line"><a id="l00277" name="l00277"></a><span class="lineno">  277</span>  uint8_t lgArrByte = 0;</div>
+<div class="line"><a id="l00278" name="l00278"></a><span class="lineno">  278</span>  <span class="keywordflow">if</span> (auxHashMap != <span class="keyword">nullptr</span>) {</div>
+<div class="line"><a id="l00279" name="l00279"></a><span class="lineno">  279</span>    lgArrByte = auxHashMap-&gt;getLgAuxArrInts();</div>
+<div class="line"><a id="l00280" name="l00280"></a><span class="lineno">  280</span>  }</div>
+<div class="line"><a id="l00281" name="l00281"></a><span class="lineno">  281</span>  write(os, lgArrByte);</div>
+<div class="line"><a id="l00282" name="l00282"></a><span class="lineno">  282</span> </div>
+<div class="line"><a id="l00283" name="l00283"></a><span class="lineno">  283</span>  <span class="keyword">const</span> uint8_t flagsByte = this-&gt;makeFlagsByte(compact);</div>
+<div class="line"><a id="l00284" name="l00284"></a><span class="lineno">  284</span>  write(os, flagsByte);</div>
+<div class="line"><a id="l00285" name="l00285"></a><span class="lineno">  285</span>  write(os, curMin_);</div>
+<div class="line"><a id="l00286" name="l00286"></a><span class="lineno">  286</span>  <span class="keyword">const</span> uint8_t modeByte = this-&gt;makeModeByte();</div>
+<div class="line"><a id="l00287" name="l00287"></a><span class="lineno">  287</span>  write(os, modeByte);</div>
+<div class="line"><a id="l00288" name="l00288"></a><span class="lineno">  288</span> </div>
+<div class="line"><a id="l00289" name="l00289"></a><span class="lineno">  289</span>  <span class="comment">// estimator data</span></div>
+<div class="line"><a id="l00290" name="l00290"></a><span class="lineno">  290</span>  write(os, hipAccum_);</div>
+<div class="line"><a id="l00291" name="l00291"></a><span class="lineno">  291</span>  write(os, kxq0_);</div>
+<div class="line"><a id="l00292" name="l00292"></a><span class="lineno">  292</span>  write(os, kxq1_);</div>
+<div class="line"><a id="l00293" name="l00293"></a><span class="lineno">  293</span> </div>
+<div class="line"><a id="l00294" name="l00294"></a><span class="lineno">  294</span>  <span class="comment">// array data</span></div>
+<div class="line"><a id="l00295" name="l00295"></a><span class="lineno">  295</span>  write(os, numAtCurMin_);</div>
+<div class="line"><a id="l00296" name="l00296"></a><span class="lineno">  296</span> </div>
+<div class="line"><a id="l00297" name="l00297"></a><span class="lineno">  297</span>  <span class="keyword">const</span> uint32_t auxCount = (auxHashMap == <span class="keyword">nullptr</span> ? 0 : auxHashMap-&gt;getAuxCount());</div>
+<div class="line"><a id="l00298" name="l00298"></a><span class="lineno">  298</span>  write(os, auxCount);</div>
+<div class="line"><a id="l00299" name="l00299"></a><span class="lineno">  299</span>  write(os, hllByteArr_.data(), getHllByteArrBytes());</div>
+<div class="line"><a id="l00300" name="l00300"></a><span class="lineno">  300</span> </div>
+<div class="line"><a id="l00301" name="l00301"></a><span class="lineno">  301</span>  <span class="comment">// aux map if HLL_4</span></div>
+<div class="line"><a id="l00302" name="l00302"></a><span class="lineno">  302</span>  <span class="keywordflow">if</span> (this-&gt;tgtHllType_ == HLL_4) {</div>
+<div class="line"><a id="l00303" name="l00303"></a><span class="lineno">  303</span>    <span class="keywordflow">if</span> (auxHashMap != <span class="keyword">nullptr</span>) {</div>
+<div class="line"><a id="l00304" name="l00304"></a><span class="lineno">  304</span>      <span class="keywordflow">if</span> (compact) {</div>
+<div class="line"><a id="l00305" name="l00305"></a><span class="lineno">  305</span>        <span class="keywordflow">for</span> (<span class="keyword">const</span> uint32_t coupon: *auxHashMap) {</div>
+<div class="line"><a id="l00306" name="l00306"></a><span class="lineno">  306</span>          write(os, coupon);</div>
+<div class="line"><a id="l00307" name="l00307"></a><span class="lineno">  307</span>        }</div>
+<div class="line"><a id="l00308" name="l00308"></a><span class="lineno">  308</span>      } <span class="keywordflow">else</span> {</div>
+<div class="line"><a id="l00309" name="l00309"></a><span class="lineno">  309</span>        write(os, auxHashMap-&gt;getAuxIntArr(), auxHashMap-&gt;getUpdatableSizeBytes());</div>
+<div class="line"><a id="l00310" name="l00310"></a><span class="lineno">  310</span>      }</div>
+<div class="line"><a id="l00311" name="l00311"></a><span class="lineno">  311</span>    } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (!compact) {</div>
+<div class="line"><a id="l00312" name="l00312"></a><span class="lineno">  312</span>      <span class="comment">// if updatable, we write even if currently unused so the binary can be wrapped      </span></div>
+<div class="line"><a id="l00313" name="l00313"></a><span class="lineno">  313</span>      uint32_t auxBytes = 4 &lt;&lt; hll_constants::LG_AUX_ARR_INTS[this-&gt;lgConfigK_];</div>
+<div class="line"><a id="l00314" name="l00314"></a><span class="lineno">  314</span>      std::fill_n(std::ostreambuf_iterator&lt;char&gt;(os), auxBytes, <span class="keyword">static_cast&lt;</span><span class="keywordtype">char</span><span class="keyword">&gt;</span>(0));</div>
+<div class="line"><a id="l00315" name="l00315"></a><span class="lineno">  315</span>    }</div>
+<div class="line"><a id="l00316" name="l00316"></a><span class="lineno">  316</span>  }</div>
+<div class="line"><a id="l00317" name="l00317"></a><span class="lineno">  317</span>}</div>
+<div class="line"><a id="l00318" name="l00318"></a><span class="lineno">  318</span> </div>
+<div class="line"><a id="l00319" name="l00319"></a><span class="lineno">  319</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00320" name="l00320"></a><span class="lineno">  320</span><span class="keywordtype">double</span> HllArray&lt;A&gt;::getEstimate()<span class="keyword"> const </span>{</div>
+<div class="line"><a id="l00321" name="l00321"></a><span class="lineno">  321</span>  <span class="keywordflow">if</span> (oooFlag_) {</div>
+<div class="line"><a id="l00322" name="l00322"></a><span class="lineno">  322</span>    <span class="keywordflow">return</span> getCompositeEstimate();</div>
+<div class="line"><a id="l00323" name="l00323"></a><span class="lineno">  323</span>  }</div>
+<div class="line"><a id="l00324" name="l00324"></a><span class="lineno">  324</span>  <span class="keywordflow">return</span> hipAccum_;</div>
+<div class="line"><a id="l00325" name="l00325"></a><span class="lineno">  325</span>}</div>
+<div class="line"><a id="l00326" name="l00326"></a><span class="lineno">  326</span> </div>
+<div class="line"><a id="l00327" name="l00327"></a><span class="lineno">  327</span><span class="comment">// HLL UPPER AND LOWER BOUNDS</span></div>
 <div class="line"><a id="l00328" name="l00328"></a><span class="lineno">  328</span> </div>
-<div class="line"><a id="l00329" name="l00329"></a><span class="lineno">  329</span><span class="comment">// HLL UPPER AND LOWER BOUNDS</span></div>
-<div class="line"><a id="l00330" name="l00330"></a><span class="lineno">  330</span> </div>
-<div class="line"><a id="l00331" name="l00331"></a><span class="lineno">  331</span><span class="comment">/*</span></div>
-<div class="line"><a id="l00332" name="l00332"></a><span class="lineno">  332</span><span class="comment"> * The upper and lower bounds are not symmetric and thus are treated slightly differently.</span></div>
-<div class="line"><a id="l00333" name="l00333"></a><span class="lineno">  333</span><span class="comment"> * For the lower bound, when the unique count is &lt;= k, LB &gt;= numNonZeros, where</span></div>
-<div class="line"><a id="l00334" name="l00334"></a><span class="lineno">  334</span><span class="comment"> * numNonZeros = k - numAtCurMin AND curMin == 0.</span></div>
-<div class="line"><a id="l00335" name="l00335"></a><span class="lineno">  335</span><span class="comment"> *</span></div>
-<div class="line"><a id="l00336" name="l00336"></a><span class="lineno">  336</span><span class="comment"> * For HLL6 and HLL8, curMin is always 0 and numAtCurMin is initialized to k and is decremented</span></div>
-<div class="line"><a id="l00337" name="l00337"></a><span class="lineno">  337</span><span class="comment"> * down for each valid update until it reaches 0, where it stays. Thus, for these two</span></div>
-<div class="line"><a id="l00338" name="l00338"></a><span class="lineno">  338</span><span class="comment"> * isomorphs, when numAtCurMin = 0, means the true curMin is &gt; 0 and the unique count must be</span></div>
-<div class="line"><a id="l00339" name="l00339"></a><span class="lineno">  339</span><span class="comment"> * greater than k.</span></div>
-<div class="line"><a id="l00340" name="l00340"></a><span class="lineno">  340</span><span class="comment"> *</span></div>
-<div class="line"><a id="l00341" name="l00341"></a><span class="lineno">  341</span><span class="comment"> * HLL4 always maintains both curMin and numAtCurMin dynamically. Nonetheless, the rules for</span></div>
-<div class="line"><a id="l00342" name="l00342"></a><span class="lineno">  342</span><span class="comment"> * the very small values &lt;= k where curMin = 0 still apply.</span></div>
-<div class="line"><a id="l00343" name="l00343"></a><span class="lineno">  343</span><span class="comment"> */</span></div>
-<div class="line"><a id="l00344" name="l00344"></a><span class="lineno">  344</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00345" name="l00345"></a><span class="lineno">  345</span><span class="keywordtype">double</span> HllArray&lt;A&gt;::getLowerBound(uint8_t numStdDev)<span class="keyword"> const </span>{</div>
-<div class="line"><a id="l00346" name="l00346"></a><span class="lineno">  346</span>  HllUtil&lt;A&gt;::checkNumStdDev(numStdDev);</div>
-<div class="line"><a id="l00347" name="l00347"></a><span class="lineno">  347</span>  <span class="keyword">const</span> uint32_t configK = 1 &lt;&lt; this-&gt;lgConfigK_;</div>
-<div class="line"><a id="l00348" name="l00348"></a><span class="lineno">  348</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> numNonZeros = ((curMin_ == 0) ? (configK - numAtCurMin_) : configK);</div>
-<div class="line"><a id="l00349" name="l00349"></a><span class="lineno">  349</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> relErr = HllUtil&lt;A&gt;::getRelErr(<span class="keyword">false</span>, this-&gt;oooFlag_, this-&gt;lgConfigK_, numStdDev);</div>
-<div class="line"><a id="l00350" name="l00350"></a><span class="lineno">  350</span>  <span class="keywordflow">return</span> fmax(getEstimate() / (1.0 + relErr), numNonZeros);</div>
-<div class="line"><a id="l00351" name="l00351"></a><span class="lineno">  351</span>}</div>
-<div class="line"><a id="l00352" name="l00352"></a><span class="lineno">  352</span> </div>
-<div class="line"><a id="l00353" name="l00353"></a><span class="lineno">  353</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00354" name="l00354"></a><span class="lineno">  354</span><span class="keywordtype">double</span> HllArray&lt;A&gt;::getUpperBound(uint8_t numStdDev)<span class="keyword"> const </span>{</div>
-<div class="line"><a id="l00355" name="l00355"></a><span class="lineno">  355</span>  HllUtil&lt;A&gt;::checkNumStdDev(numStdDev);</div>
-<div class="line"><a id="l00356" name="l00356"></a><span class="lineno">  356</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> relErr = HllUtil&lt;A&gt;::getRelErr(<span class="keyword">true</span>, this-&gt;oooFlag_, this-&gt;lgConfigK_, numStdDev);</div>
-<div class="line"><a id="l00357" name="l00357"></a><span class="lineno">  357</span>  <span class="keywordflow">return</span> getEstimate() / (1.0 + relErr);</div>
-<div class="line"><a id="l00358" name="l00358"></a><span class="lineno">  358</span>}</div>
-<div class="line"><a id="l00359" name="l00359"></a><span class="lineno">  359</span> </div>
-<div class="line"><a id="l00365" name="l00365"></a><span class="lineno">  365</span><span class="comment">// Original C: again-two-registers.c hhb_get_composite_estimate L1489</span></div>
-<div class="line"><a id="l00366" name="l00366"></a><span class="lineno">  366</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00367" name="l00367"></a><span class="lineno">  367</span><span class="keywordtype">double</span> HllArray&lt;A&gt;::getCompositeEstimate()<span class="keyword"> const </span>{</div>
-<div class="line"><a id="l00368" name="l00368"></a><span class="lineno">  368</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> rawEst = getHllRawEstimate();</div>
-<div class="line"><a id="l00369" name="l00369"></a><span class="lineno">  369</span> </div>
-<div class="line"><a id="l00370" name="l00370"></a><span class="lineno">  370</span>  <span class="keyword">const</span> <span class="keywordtype">double</span>* xArr = CompositeInterpolationXTable&lt;A&gt;::get_x_arr(this-&gt;lgConfigK_);</div>
-<div class="line"><a id="l00371" name="l00371"></a><span class="lineno">  371</span>  <span class="keyword">const</span> uint32_t xArrLen = CompositeInterpolationXTable&lt;A&gt;::get_x_arr_length();</div>
-<div class="line"><a id="l00372" name="l00372"></a><span class="lineno">  372</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> yStride = CompositeInterpolationXTable&lt;A&gt;::get_y_stride(this-&gt;lgConfigK_);</div>
-<div class="line"><a id="l00373" name="l00373"></a><span class="lineno">  373</span> </div>
-<div class="line"><a id="l00374" name="l00374"></a><span class="lineno">  374</span>  <span class="keywordflow">if</span> (rawEst &lt; xArr[0]) {</div>
-<div class="line"><a id="l00375" name="l00375"></a><span class="lineno">  375</span>    <span class="keywordflow">return</span> 0;</div>
-<div class="line"><a id="l00376" name="l00376"></a><span class="lineno">  376</span>  }</div>
+<div class="line"><a id="l00329" name="l00329"></a><span class="lineno">  329</span><span class="comment">/*</span></div>
+<div class="line"><a id="l00330" name="l00330"></a><span class="lineno">  330</span><span class="comment"> * The upper and lower bounds are not symmetric and thus are treated slightly differently.</span></div>
+<div class="line"><a id="l00331" name="l00331"></a><span class="lineno">  331</span><span class="comment"> * For the lower bound, when the unique count is &lt;= k, LB &gt;= numNonZeros, where</span></div>
+<div class="line"><a id="l00332" name="l00332"></a><span class="lineno">  332</span><span class="comment"> * numNonZeros = k - numAtCurMin AND curMin == 0.</span></div>
+<div class="line"><a id="l00333" name="l00333"></a><span class="lineno">  333</span><span class="comment"> *</span></div>
+<div class="line"><a id="l00334" name="l00334"></a><span class="lineno">  334</span><span class="comment"> * For HLL6 and HLL8, curMin is always 0 and numAtCurMin is initialized to k and is decremented</span></div>
+<div class="line"><a id="l00335" name="l00335"></a><span class="lineno">  335</span><span class="comment"> * down for each valid update until it reaches 0, where it stays. Thus, for these two</span></div>
+<div class="line"><a id="l00336" name="l00336"></a><span class="lineno">  336</span><span class="comment"> * isomorphs, when numAtCurMin = 0, means the true curMin is &gt; 0 and the unique count must be</span></div>
+<div class="line"><a id="l00337" name="l00337"></a><span class="lineno">  337</span><span class="comment"> * greater than k.</span></div>
+<div class="line"><a id="l00338" name="l00338"></a><span class="lineno">  338</span><span class="comment"> *</span></div>
+<div class="line"><a id="l00339" name="l00339"></a><span class="lineno">  339</span><span class="comment"> * HLL4 always maintains both curMin and numAtCurMin dynamically. Nonetheless, the rules for</span></div>
+<div class="line"><a id="l00340" name="l00340"></a><span class="lineno">  340</span><span class="comment"> * the very small values &lt;= k where curMin = 0 still apply.</span></div>
+<div class="line"><a id="l00341" name="l00341"></a><span class="lineno">  341</span><span class="comment"> */</span></div>
+<div class="line"><a id="l00342" name="l00342"></a><span class="lineno">  342</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00343" name="l00343"></a><span class="lineno">  343</span><span class="keywordtype">double</span> HllArray&lt;A&gt;::getLowerBound(uint8_t numStdDev)<span class="keyword"> const </span>{</div>
+<div class="line"><a id="l00344" name="l00344"></a><span class="lineno">  344</span>  HllUtil&lt;A&gt;::checkNumStdDev(numStdDev);</div>
+<div class="line"><a id="l00345" name="l00345"></a><span class="lineno">  345</span>  <span class="keyword">const</span> uint32_t configK = 1 &lt;&lt; this-&gt;lgConfigK_;</div>
+<div class="line"><a id="l00346" name="l00346"></a><span class="lineno">  346</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> numNonZeros = ((curMin_ == 0) ? (configK - numAtCurMin_) : configK);</div>
+<div class="line"><a id="l00347" name="l00347"></a><span class="lineno">  347</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> relErr = HllUtil&lt;A&gt;::getRelErr(<span class="keyword">false</span>, this-&gt;oooFlag_, this-&gt;lgConfigK_, numStdDev);</div>
+<div class="line"><a id="l00348" name="l00348"></a><span class="lineno">  348</span>  <span class="keywordflow">return</span> fmax(getEstimate() / (1.0 + relErr), numNonZeros);</div>
+<div class="line"><a id="l00349" name="l00349"></a><span class="lineno">  349</span>}</div>
+<div class="line"><a id="l00350" name="l00350"></a><span class="lineno">  350</span> </div>
+<div class="line"><a id="l00351" name="l00351"></a><span class="lineno">  351</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00352" name="l00352"></a><span class="lineno">  352</span><span class="keywordtype">double</span> HllArray&lt;A&gt;::getUpperBound(uint8_t numStdDev)<span class="keyword"> const </span>{</div>
+<div class="line"><a id="l00353" name="l00353"></a><span class="lineno">  353</span>  HllUtil&lt;A&gt;::checkNumStdDev(numStdDev);</div>
+<div class="line"><a id="l00354" name="l00354"></a><span class="lineno">  354</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> relErr = HllUtil&lt;A&gt;::getRelErr(<span class="keyword">true</span>, this-&gt;oooFlag_, this-&gt;lgConfigK_, numStdDev);</div>
+<div class="line"><a id="l00355" name="l00355"></a><span class="lineno">  355</span>  <span class="keywordflow">return</span> getEstimate() / (1.0 + relErr);</div>
+<div class="line"><a id="l00356" name="l00356"></a><span class="lineno">  356</span>}</div>
+<div class="line"><a id="l00357" name="l00357"></a><span class="lineno">  357</span> </div>
+<div class="line"><a id="l00363" name="l00363"></a><span class="lineno">  363</span><span class="comment">// Original C: again-two-registers.c hhb_get_composite_estimate L1489</span></div>
+<div class="line"><a id="l00364" name="l00364"></a><span class="lineno">  364</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00365" name="l00365"></a><span class="lineno">  365</span><span class="keywordtype">double</span> HllArray&lt;A&gt;::getCompositeEstimate()<span class="keyword"> const </span>{</div>
+<div class="line"><a id="l00366" name="l00366"></a><span class="lineno">  366</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> rawEst = getHllRawEstimate();</div>
+<div class="line"><a id="l00367" name="l00367"></a><span class="lineno">  367</span> </div>
+<div class="line"><a id="l00368" name="l00368"></a><span class="lineno">  368</span>  <span class="keyword">const</span> <span class="keywordtype">double</span>* xArr = CompositeInterpolationXTable&lt;A&gt;::get_x_arr(this-&gt;lgConfigK_);</div>
+<div class="line"><a id="l00369" name="l00369"></a><span class="lineno">  369</span>  <span class="keyword">const</span> uint32_t xArrLen = CompositeInterpolationXTable&lt;A&gt;::get_x_arr_length();</div>
+<div class="line"><a id="l00370" name="l00370"></a><span class="lineno">  370</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> yStride = CompositeInterpolationXTable&lt;A&gt;::get_y_stride(this-&gt;lgConfigK_);</div>
+<div class="line"><a id="l00371" name="l00371"></a><span class="lineno">  371</span> </div>
+<div class="line"><a id="l00372" name="l00372"></a><span class="lineno">  372</span>  <span class="keywordflow">if</span> (rawEst &lt; xArr[0]) {</div>
+<div class="line"><a id="l00373" name="l00373"></a><span class="lineno">  373</span>    <span class="keywordflow">return</span> 0;</div>
+<div class="line"><a id="l00374" name="l00374"></a><span class="lineno">  374</span>  }</div>
+<div class="line"><a id="l00375" name="l00375"></a><span class="lineno">  375</span> </div>
+<div class="line"><a id="l00376" name="l00376"></a><span class="lineno">  376</span>  <span class="keyword">const</span> uint32_t xArrLenM1 = xArrLen - 1;</div>
 <div class="line"><a id="l00377" name="l00377"></a><span class="lineno">  377</span> </div>
-<div class="line"><a id="l00378" name="l00378"></a><span class="lineno">  378</span>  <span class="keyword">const</span> uint32_t xArrLenM1 = xArrLen - 1;</div>
-<div class="line"><a id="l00379" name="l00379"></a><span class="lineno">  379</span> </div>
-<div class="line"><a id="l00380" name="l00380"></a><span class="lineno">  380</span>  <span class="keywordflow">if</span> (rawEst &gt; xArr[xArrLenM1]) {</div>
-<div class="line"><a id="l00381" name="l00381"></a><span class="lineno">  381</span>    <span class="keyword">const</span> <span class="keywordtype">double</span> finalY = yStride * xArrLenM1;</div>
-<div class="line"><a id="l00382" name="l00382"></a><span class="lineno">  382</span>    <span class="keyword">const</span> <span class="keywordtype">double</span> factor = finalY / xArr[xArrLenM1];</div>
-<div class="line"><a id="l00383" name="l00383"></a><span class="lineno">  383</span>    <span class="keywordflow">return</span> rawEst * factor;</div>
-<div class="line"><a id="l00384" name="l00384"></a><span class="lineno">  384</span>  }</div>
+<div class="line"><a id="l00378" name="l00378"></a><span class="lineno">  378</span>  <span class="keywordflow">if</span> (rawEst &gt; xArr[xArrLenM1]) {</div>
+<div class="line"><a id="l00379" name="l00379"></a><span class="lineno">  379</span>    <span class="keyword">const</span> <span class="keywordtype">double</span> finalY = yStride * xArrLenM1;</div>
+<div class="line"><a id="l00380" name="l00380"></a><span class="lineno">  380</span>    <span class="keyword">const</span> <span class="keywordtype">double</span> factor = finalY / xArr[xArrLenM1];</div>
+<div class="line"><a id="l00381" name="l00381"></a><span class="lineno">  381</span>    <span class="keywordflow">return</span> rawEst * factor;</div>
+<div class="line"><a id="l00382" name="l00382"></a><span class="lineno">  382</span>  }</div>
+<div class="line"><a id="l00383" name="l00383"></a><span class="lineno">  383</span> </div>
+<div class="line"><a id="l00384" name="l00384"></a><span class="lineno">  384</span>  <span class="keywordtype">double</span> adjEst = CubicInterpolation&lt;A&gt;::usingXArrAndYStride(xArr, xArrLen, yStride, rawEst);</div>
 <div class="line"><a id="l00385" name="l00385"></a><span class="lineno">  385</span> </div>
-<div class="line"><a id="l00386" name="l00386"></a><span class="lineno">  386</span>  <span class="keywordtype">double</span> adjEst = CubicInterpolation&lt;A&gt;::usingXArrAndYStride(xArr, xArrLen, yStride, rawEst);</div>
-<div class="line"><a id="l00387" name="l00387"></a><span class="lineno">  387</span> </div>
-<div class="line"><a id="l00388" name="l00388"></a><span class="lineno">  388</span>  <span class="comment">// We need to completely avoid the linear_counting estimator if it might have a crazy value.</span></div>
-<div class="line"><a id="l00389" name="l00389"></a><span class="lineno">  389</span>  <span class="comment">// Empirical evidence suggests that the threshold 3*k will keep us safe if 2^4 &lt;= k &lt;= 2^21.</span></div>
+<div class="line"><a id="l00386" name="l00386"></a><span class="lineno">  386</span>  <span class="comment">// We need to completely avoid the linear_counting estimator if it might have a crazy value.</span></div>
+<div class="line"><a id="l00387" name="l00387"></a><span class="lineno">  387</span>  <span class="comment">// Empirical evidence suggests that the threshold 3*k will keep us safe if 2^4 &lt;= k &lt;= 2^21.</span></div>
+<div class="line"><a id="l00388" name="l00388"></a><span class="lineno">  388</span> </div>
+<div class="line"><a id="l00389" name="l00389"></a><span class="lineno">  389</span>  <span class="keywordflow">if</span> (adjEst &gt; (3 &lt;&lt; this-&gt;lgConfigK_)) { <span class="keywordflow">return</span> adjEst; }</div>
 <div class="line"><a id="l00390" name="l00390"></a><span class="lineno">  390</span> </div>
-<div class="line"><a id="l00391" name="l00391"></a><span class="lineno">  391</span>  <span class="keywordflow">if</span> (adjEst &gt; (3 &lt;&lt; this-&gt;lgConfigK_)) { <span class="keywordflow">return</span> adjEst; }</div>
+<div class="line"><a id="l00391" name="l00391"></a><span class="lineno">  391</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> linEst = getHllBitMapEstimate();</div>
 <div class="line"><a id="l00392" name="l00392"></a><span class="lineno">  392</span> </div>
-<div class="line"><a id="l00393" name="l00393"></a><span class="lineno">  393</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> linEst = getHllBitMapEstimate();</div>
-<div class="line"><a id="l00394" name="l00394"></a><span class="lineno">  394</span> </div>
-<div class="line"><a id="l00395" name="l00395"></a><span class="lineno">  395</span>  <span class="comment">// Bias is created when the value of an estimator is compared with a threshold to decide whether</span></div>
-<div class="line"><a id="l00396" name="l00396"></a><span class="lineno">  396</span>  <span class="comment">// to use that estimator or a different one.</span></div>
-<div class="line"><a id="l00397" name="l00397"></a><span class="lineno">  397</span>  <span class="comment">// We conjecture that less bias is created when the average of the two estimators</span></div>
-<div class="line"><a id="l00398" name="l00398"></a><span class="lineno">  398</span>  <span class="comment">// is compared with the threshold. Empirical measurements support this conjecture.</span></div>
+<div class="line"><a id="l00393" name="l00393"></a><span class="lineno">  393</span>  <span class="comment">// Bias is created when the value of an estimator is compared with a threshold to decide whether</span></div>
+<div class="line"><a id="l00394" name="l00394"></a><span class="lineno">  394</span>  <span class="comment">// to use that estimator or a different one.</span></div>
+<div class="line"><a id="l00395" name="l00395"></a><span class="lineno">  395</span>  <span class="comment">// We conjecture that less bias is created when the average of the two estimators</span></div>
+<div class="line"><a id="l00396" name="l00396"></a><span class="lineno">  396</span>  <span class="comment">// is compared with the threshold. Empirical measurements support this conjecture.</span></div>
+<div class="line"><a id="l00397" name="l00397"></a><span class="lineno">  397</span> </div>
+<div class="line"><a id="l00398" name="l00398"></a><span class="lineno">  398</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> avgEst = (adjEst + linEst) / 2.0;</div>
 <div class="line"><a id="l00399" name="l00399"></a><span class="lineno">  399</span> </div>
-<div class="line"><a id="l00400" name="l00400"></a><span class="lineno">  400</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> avgEst = (adjEst + linEst) / 2.0;</div>
-<div class="line"><a id="l00401" name="l00401"></a><span class="lineno">  401</span> </div>
-<div class="line"><a id="l00402" name="l00402"></a><span class="lineno">  402</span>  <span class="comment">// The following constants comes from empirical measurements of the crossover point</span></div>
-<div class="line"><a id="l00403" name="l00403"></a><span class="lineno">  403</span>  <span class="comment">// between the average error of the linear estimator and the adjusted hll estimator</span></div>
-<div class="line"><a id="l00404" name="l00404"></a><span class="lineno">  404</span>  <span class="keywordtype">double</span> crossOver = 0.64;</div>
-<div class="line"><a id="l00405" name="l00405"></a><span class="lineno">  405</span>  <span class="keywordflow">if</span> (this-&gt;lgConfigK_ == 4)      { crossOver = 0.718; }</div>
-<div class="line"><a id="l00406" name="l00406"></a><span class="lineno">  406</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span> (this-&gt;lgConfigK_ == 5) { crossOver = 0.672; }</div>
-<div class="line"><a id="l00407" name="l00407"></a><span class="lineno">  407</span> </div>
-<div class="line"><a id="l00408" name="l00408"></a><span class="lineno">  408</span>  <span class="keywordflow">return</span> (avgEst &gt; (crossOver * (1 &lt;&lt; this-&gt;lgConfigK_))) ? adjEst : linEst;</div>
-<div class="line"><a id="l00409" name="l00409"></a><span class="lineno">  409</span>}</div>
-<div class="line"><a id="l00410" name="l00410"></a><span class="lineno">  410</span> </div>
-<div class="line"><a id="l00411" name="l00411"></a><span class="lineno">  411</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00412" name="l00412"></a><span class="lineno">  412</span><span class="keywordtype">double</span> HllArray&lt;A&gt;::getKxQ0()<span class="keyword"> const </span>{</div>
-<div class="line"><a id="l00413" name="l00413"></a><span class="lineno">  413</span>  <span class="keywordflow">return</span> kxq0_;</div>
-<div class="line"><a id="l00414" name="l00414"></a><span class="lineno">  414</span>}</div>
-<div class="line"><a id="l00415" name="l00415"></a><span class="lineno">  415</span> </div>
-<div class="line"><a id="l00416" name="l00416"></a><span class="lineno">  416</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00417" name="l00417"></a><span class="lineno">  417</span><span class="keywordtype">double</span> HllArray&lt;A&gt;::getKxQ1()<span class="keyword"> const </span>{</div>
-<div class="line"><a id="l00418" name="l00418"></a><span class="lineno">  418</span>  <span class="keywordflow">return</span> kxq1_;</div>
-<div class="line"><a id="l00419" name="l00419"></a><span class="lineno">  419</span>}</div>
-<div class="line"><a id="l00420" name="l00420"></a><span class="lineno">  420</span> </div>
-<div class="line"><a id="l00421" name="l00421"></a><span class="lineno">  421</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00422" name="l00422"></a><span class="lineno">  422</span><span class="keywordtype">double</span> HllArray&lt;A&gt;::getHipAccum()<span class="keyword"> const </span>{</div>
-<div class="line"><a id="l00423" name="l00423"></a><span class="lineno">  423</span>  <span class="keywordflow">return</span> hipAccum_;</div>
-<div class="line"><a id="l00424" name="l00424"></a><span class="lineno">  424</span>}</div>
-<div class="line"><a id="l00425" name="l00425"></a><span class="lineno">  425</span> </div>
-<div class="line"><a id="l00426" name="l00426"></a><span class="lineno">  426</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00427" name="l00427"></a><span class="lineno">  427</span>uint8_t HllArray&lt;A&gt;::getCurMin()<span class="keyword"> const </span>{</div>
-<div class="line"><a id="l00428" name="l00428"></a><span class="lineno">  428</span>  <span class="keywordflow">return</span> curMin_;</div>
-<div class="line"><a id="l00429" name="l00429"></a><span class="lineno">  429</span>}</div>
-<div class="line"><a id="l00430" name="l00430"></a><span class="lineno">  430</span> </div>
-<div class="line"><a id="l00431" name="l00431"></a><span class="lineno">  431</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00432" name="l00432"></a><span class="lineno">  432</span>uint32_t HllArray&lt;A&gt;::getNumAtCurMin()<span class="keyword"> const </span>{</div>
-<div class="line"><a id="l00433" name="l00433"></a><span class="lineno">  433</span>  <span class="keywordflow">return</span> numAtCurMin_;</div>
-<div class="line"><a id="l00434" name="l00434"></a><span class="lineno">  434</span>}</div>
-<div class="line"><a id="l00435" name="l00435"></a><span class="lineno">  435</span> </div>
-<div class="line"><a id="l00436" name="l00436"></a><span class="lineno">  436</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00437" name="l00437"></a><span class="lineno">  437</span><span class="keywordtype">void</span> HllArray&lt;A&gt;::putKxQ0(<span class="keywordtype">double</span> kxq0) {</div>
-<div class="line"><a id="l00438" name="l00438"></a><span class="lineno">  438</span>  kxq0_ = kxq0;</div>
-<div class="line"><a id="l00439" name="l00439"></a><span class="lineno">  439</span>}</div>
-<div class="line"><a id="l00440" name="l00440"></a><span class="lineno">  440</span> </div>
-<div class="line"><a id="l00441" name="l00441"></a><span class="lineno">  441</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00442" name="l00442"></a><span class="lineno">  442</span><span class="keywordtype">void</span> HllArray&lt;A&gt;::putKxQ1(<span class="keywordtype">double</span> kxq1) {</div>
-<div class="line"><a id="l00443" name="l00443"></a><span class="lineno">  443</span>  kxq1_ = kxq1;</div>
-<div class="line"><a id="l00444" name="l00444"></a><span class="lineno">  444</span>}</div>
-<div class="line"><a id="l00445" name="l00445"></a><span class="lineno">  445</span> </div>
-<div class="line"><a id="l00446" name="l00446"></a><span class="lineno">  446</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00447" name="l00447"></a><span class="lineno">  447</span><span class="keywordtype">void</span> HllArray&lt;A&gt;::putHipAccum(<span class="keywordtype">double</span> hipAccum) {</div>
-<div class="line"><a id="l00448" name="l00448"></a><span class="lineno">  448</span>  hipAccum_ = hipAccum;</div>
-<div class="line"><a id="l00449" name="l00449"></a><span class="lineno">  449</span>}</div>
-<div class="line"><a id="l00450" name="l00450"></a><span class="lineno">  450</span> </div>
-<div class="line"><a id="l00451" name="l00451"></a><span class="lineno">  451</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00452" name="l00452"></a><span class="lineno">  452</span><span class="keywordtype">void</span> HllArray&lt;A&gt;::putCurMin(uint8_t curMin) {</div>
-<div class="line"><a id="l00453" name="l00453"></a><span class="lineno">  453</span>  curMin_ = curMin;</div>
-<div class="line"><a id="l00454" name="l00454"></a><span class="lineno">  454</span>}</div>
-<div class="line"><a id="l00455" name="l00455"></a><span class="lineno">  455</span> </div>
-<div class="line"><a id="l00456" name="l00456"></a><span class="lineno">  456</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00457" name="l00457"></a><span class="lineno">  457</span><span class="keywordtype">void</span> HllArray&lt;A&gt;::putNumAtCurMin(uint32_t numAtCurMin) {</div>
-<div class="line"><a id="l00458" name="l00458"></a><span class="lineno">  458</span>  numAtCurMin_ = numAtCurMin;</div>
-<div class="line"><a id="l00459" name="l00459"></a><span class="lineno">  459</span>}</div>
-<div class="line"><a id="l00460" name="l00460"></a><span class="lineno">  460</span> </div>
-<div class="line"><a id="l00461" name="l00461"></a><span class="lineno">  461</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00462" name="l00462"></a><span class="lineno">  462</span><span class="keywordtype">bool</span> HllArray&lt;A&gt;::isCompact()<span class="keyword"> const </span>{</div>
-<div class="line"><a id="l00463" name="l00463"></a><span class="lineno">  463</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
-<div class="line"><a id="l00464" name="l00464"></a><span class="lineno">  464</span>}</div>
-<div class="line"><a id="l00465" name="l00465"></a><span class="lineno">  465</span> </div>
-<div class="line"><a id="l00466" name="l00466"></a><span class="lineno">  466</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00467" name="l00467"></a><span class="lineno">  467</span><span class="keywordtype">bool</span> HllArray&lt;A&gt;::isEmpty()<span class="keyword"> const </span>{</div>
-<div class="line"><a id="l00468" name="l00468"></a><span class="lineno">  468</span>  <span class="comment">// mergeHll() is only called with non-empty sketches and sets this flag after updating the</span></div>
-<div class="line"><a id="l00469" name="l00469"></a><span class="lineno">  469</span>  <span class="comment">// register array. The cached curMin_/numAtCurMin_ may still have their empty-sketch values,</span></div>
-<div class="line"><a id="l00470" name="l00470"></a><span class="lineno">  470</span>  <span class="comment">// but a pending rebuild therefore proves that this array is not empty.</span></div>
-<div class="line"><a id="l00471" name="l00471"></a><span class="lineno">  471</span>  <span class="keywordflow">if</span> (rebuild_kxq_curmin_) <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
-<div class="line"><a id="l00472" name="l00472"></a><span class="lineno">  472</span>  <span class="keyword">const</span> uint32_t configK = 1 &lt;&lt; this-&gt;lgConfigK_;</div>
-<div class="line"><a id="l00473" name="l00473"></a><span class="lineno">  473</span>  <span class="keywordflow">return</span> (curMin_ == 0) &amp;&amp; (numAtCurMin_ == configK);</div>
-<div class="line"><a id="l00474" name="l00474"></a><span class="lineno">  474</span>}</div>
-<div class="line"><a id="l00475" name="l00475"></a><span class="lineno">  475</span> </div>
-<div class="line"><a id="l00476" name="l00476"></a><span class="lineno">  476</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00477" name="l00477"></a><span class="lineno">  477</span><span class="keywordtype">void</span> HllArray&lt;A&gt;::putOutOfOrderFlag(<span class="keywordtype">bool</span> flag) {</div>
-<div class="line"><a id="l00478" name="l00478"></a><span class="lineno">  478</span>  oooFlag_ = flag;</div>
-<div class="line"><a id="l00479" name="l00479"></a><span class="lineno">  479</span>}</div>
-<div class="line"><a id="l00480" name="l00480"></a><span class="lineno">  480</span> </div>
-<div class="line"><a id="l00481" name="l00481"></a><span class="lineno">  481</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00482" name="l00482"></a><span class="lineno">  482</span><span class="keywordtype">bool</span> HllArray&lt;A&gt;::isOutOfOrderFlag()<span class="keyword"> const </span>{</div>
-<div class="line"><a id="l00483" name="l00483"></a><span class="lineno">  483</span>  <span class="keywordflow">return</span> oooFlag_;</div>
-<div class="line"><a id="l00484" name="l00484"></a><span class="lineno">  484</span>}</div>
-<div class="line"><a id="l00485" name="l00485"></a><span class="lineno">  485</span> </div>
-<div class="line"><a id="l00486" name="l00486"></a><span class="lineno">  486</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00487" name="l00487"></a><span class="lineno">  487</span>uint32_t HllArray&lt;A&gt;::hllArrBytes(target_hll_type tgtHllType, uint8_t lgConfigK) {</div>
-<div class="line"><a id="l00488" name="l00488"></a><span class="lineno">  488</span>  <span class="keywordflow">switch</span> (tgtHllType) {</div>
-<div class="line"><a id="l00489" name="l00489"></a><span class="lineno">  489</span>  <span class="keywordflow">case</span> <a class="code hl_enumvalue" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4aebdac6704039b95d8b82629cda14b1b9">HLL_4</a>:</div>
-<div class="line"><a id="l00490" name="l00490"></a><span class="lineno">  490</span>    <span class="keywordflow">return</span> hll4ArrBytes(lgConfigK);</div>
-<div class="line"><a id="l00491" name="l00491"></a><span class="lineno">  491</span>  <span class="keywordflow">case</span> <a class="code hl_enumvalue" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4a0a2179d612c2ce6887e96279f25d7a77">HLL_6</a>:</div>
-<div class="line"><a id="l00492" name="l00492"></a><span class="lineno">  492</span>    <span class="keywordflow">return</span> hll6ArrBytes(lgConfigK);</div>
-<div class="line"><a id="l00493" name="l00493"></a><span class="lineno">  493</span>  <span class="keywordflow">case</span> <a class="code hl_enumvalue" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4a3a5efa79623d3e2ab53f27ef53237c7f">HLL_8</a>:</div>
-<div class="line"><a id="l00494" name="l00494"></a><span class="lineno">  494</span>    <span class="keywordflow">return</span> hll8ArrBytes(lgConfigK);</div>
-<div class="line"><a id="l00495" name="l00495"></a><span class="lineno">  495</span>  <span class="keywordflow">default</span>:</div>
-<div class="line"><a id="l00496" name="l00496"></a><span class="lineno">  496</span>    <span class="keywordflow">throw</span> std::invalid_argument(<span class="stringliteral">&quot;Invalid target HLL type&quot;</span>); </div>
-<div class="line"><a id="l00497" name="l00497"></a><span class="lineno">  497</span>  }</div>
-<div class="line"><a id="l00498" name="l00498"></a><span class="lineno">  498</span>}</div>
-<div class="line"><a id="l00499" name="l00499"></a><span class="lineno">  499</span> </div>
-<div class="line"><a id="l00500" name="l00500"></a><span class="lineno">  500</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00501" name="l00501"></a><span class="lineno">  501</span>uint32_t HllArray&lt;A&gt;::hll4ArrBytes(uint8_t lgConfigK) {</div>
-<div class="line"><a id="l00502" name="l00502"></a><span class="lineno">  502</span>  <span class="keywordflow">return</span> 1 &lt;&lt; (lgConfigK - 1);</div>
-<div class="line"><a id="l00503" name="l00503"></a><span class="lineno">  503</span>}</div>
-<div class="line"><a id="l00504" name="l00504"></a><span class="lineno">  504</span> </div>
-<div class="line"><a id="l00505" name="l00505"></a><span class="lineno">  505</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00506" name="l00506"></a><span class="lineno">  506</span>uint32_t HllArray&lt;A&gt;::hll6ArrBytes(uint8_t lgConfigK) {</div>
-<div class="line"><a id="l00507" name="l00507"></a><span class="lineno">  507</span>  <span class="keyword">const</span> uint32_t numSlots = 1 &lt;&lt; lgConfigK;</div>
-<div class="line"><a id="l00508" name="l00508"></a><span class="lineno">  508</span>  <span class="keywordflow">return</span> ((numSlots * 3) &gt;&gt; 2) + 1;</div>
-<div class="line"><a id="l00509" name="l00509"></a><span class="lineno">  509</span>}</div>
-<div class="line"><a id="l00510" name="l00510"></a><span class="lineno">  510</span> </div>
-<div class="line"><a id="l00511" name="l00511"></a><span class="lineno">  511</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00512" name="l00512"></a><span class="lineno">  512</span>uint32_t HllArray&lt;A&gt;::hll8ArrBytes(uint8_t lgConfigK) {</div>
-<div class="line"><a id="l00513" name="l00513"></a><span class="lineno">  513</span>  <span class="keywordflow">return</span> 1 &lt;&lt; lgConfigK;</div>
-<div class="line"><a id="l00514" name="l00514"></a><span class="lineno">  514</span>}</div>
-<div class="line"><a id="l00515" name="l00515"></a><span class="lineno">  515</span> </div>
-<div class="line"><a id="l00516" name="l00516"></a><span class="lineno">  516</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00517" name="l00517"></a><span class="lineno">  517</span>uint32_t HllArray&lt;A&gt;::getMemDataStart()<span class="keyword"> const </span>{</div>
-<div class="line"><a id="l00518" name="l00518"></a><span class="lineno">  518</span>  <span class="keywordflow">return</span> hll_constants::HLL_BYTE_ARR_START;</div>
-<div class="line"><a id="l00519" name="l00519"></a><span class="lineno">  519</span>}</div>
-<div class="line"><a id="l00520" name="l00520"></a><span class="lineno">  520</span> </div>
-<div class="line"><a id="l00521" name="l00521"></a><span class="lineno">  521</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00522" name="l00522"></a><span class="lineno">  522</span>uint32_t HllArray&lt;A&gt;::getUpdatableSerializationBytes()<span class="keyword"> const </span>{</div>
-<div class="line"><a id="l00523" name="l00523"></a><span class="lineno">  523</span>  <span class="keywordflow">return</span> hll_constants::HLL_BYTE_ARR_START + getHllByteArrBytes();</div>
-<div class="line"><a id="l00524" name="l00524"></a><span class="lineno">  524</span>}</div>
-<div class="line"><a id="l00525" name="l00525"></a><span class="lineno">  525</span> </div>
-<div class="line"><a id="l00526" name="l00526"></a><span class="lineno">  526</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00527" name="l00527"></a><span class="lineno">  527</span>uint32_t HllArray&lt;A&gt;::getCompactSerializationBytes()<span class="keyword"> const </span>{</div>
-<div class="line"><a id="l00528" name="l00528"></a><span class="lineno">  528</span>  AuxHashMap&lt;A&gt;* auxHashMap = getAuxHashMap();</div>
-<div class="line"><a id="l00529" name="l00529"></a><span class="lineno">  529</span>  <span class="keyword">const</span> uint32_t auxCountBytes = ((auxHashMap == <span class="keyword">nullptr</span>) ? 0 : auxHashMap-&gt;getCompactSizeBytes());</div>
-<div class="line"><a id="l00530" name="l00530"></a><span class="lineno">  530</span>  <span class="keywordflow">return</span> hll_constants::HLL_BYTE_ARR_START + getHllByteArrBytes() + auxCountBytes;</div>
-<div class="line"><a id="l00531" name="l00531"></a><span class="lineno">  531</span>}</div>
-<div class="line"><a id="l00532" name="l00532"></a><span class="lineno">  532</span> </div>
-<div class="line"><a id="l00533" name="l00533"></a><span class="lineno">  533</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00534" name="l00534"></a><span class="lineno">  534</span>uint8_t HllArray&lt;A&gt;::getPreInts()<span class="keyword"> const </span>{</div>
-<div class="line"><a id="l00535" name="l00535"></a><span class="lineno">  535</span>  <span class="keywordflow">return</span> hll_constants::HLL_PREINTS;</div>
-<div class="line"><a id="l00536" name="l00536"></a><span class="lineno">  536</span>}</div>
-<div class="line"><a id="l00537" name="l00537"></a><span class="lineno">  537</span> </div>
-<div class="line"><a id="l00538" name="l00538"></a><span class="lineno">  538</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00539" name="l00539"></a><span class="lineno">  539</span>AuxHashMap&lt;A&gt;* HllArray&lt;A&gt;::getAuxHashMap()<span class="keyword"> const </span>{</div>
-<div class="line"><a id="l00540" name="l00540"></a><span class="lineno">  540</span>  <span class="keywordflow">return</span> <span class="keyword">nullptr</span>;</div>
-<div class="line"><a id="l00541" name="l00541"></a><span class="lineno">  541</span>}</div>
-<div class="line"><a id="l00542" name="l00542"></a><span class="lineno">  542</span> </div>
-<div class="line"><a id="l00543" name="l00543"></a><span class="lineno">  543</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00544" name="l00544"></a><span class="lineno">  544</span><span class="keyword">auto</span> HllArray&lt;A&gt;::getHllArray() const -&gt; const vector_bytes&amp; {</div>
-<div class="line"><a id="l00545" name="l00545"></a><span class="lineno">  545</span>  <span class="keywordflow">return</span> hllByteArr_;</div>
-<div class="line"><a id="l00546" name="l00546"></a><span class="lineno">  546</span>}</div>
-<div class="line"><a id="l00547" name="l00547"></a><span class="lineno">  547</span> </div>
-<div class="line"><a id="l00548" name="l00548"></a><span class="lineno">  548</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00549" name="l00549"></a><span class="lineno">  549</span><span class="keywordtype">void</span> HllArray&lt;A&gt;::hipAndKxQIncrementalUpdate(uint8_t oldValue, uint8_t newValue) {</div>
-<div class="line"><a id="l00550" name="l00550"></a><span class="lineno">  550</span>  <span class="keyword">const</span> uint32_t configK = 1 &lt;&lt; this-&gt;getLgConfigK();</div>
-<div class="line"><a id="l00551" name="l00551"></a><span class="lineno">  551</span>  <span class="comment">// update hip BEFORE updating kxq</span></div>
-<div class="line"><a id="l00552" name="l00552"></a><span class="lineno">  552</span>  <span class="keywordflow">if</span> (!oooFlag_) { hipAccum_ += configK / (kxq0_ + kxq1_); }</div>
-<div class="line"><a id="l00553" name="l00553"></a><span class="lineno">  553</span>  <span class="comment">// update kxq0 and kxq1; subtract first, then add</span></div>
-<div class="line"><a id="l00554" name="l00554"></a><span class="lineno">  554</span>  <span class="keywordflow">if</span> (oldValue &lt; 32) { kxq0_ -= INVERSE_POWERS_OF_2[oldValue]; }</div>
-<div class="line"><a id="l00555" name="l00555"></a><span class="lineno">  555</span>  <span class="keywordflow">else</span>               { kxq1_ -= INVERSE_POWERS_OF_2[oldValue]; }</div>
-<div class="line"><a id="l00556" name="l00556"></a><span class="lineno">  556</span>  <span class="keywordflow">if</span> (newValue &lt; 32) { kxq0_ += INVERSE_POWERS_OF_2[newValue]; }</div>
-<div class="line"><a id="l00557" name="l00557"></a><span class="lineno">  557</span>  <span class="keywordflow">else</span>               { kxq1_ += INVERSE_POWERS_OF_2[newValue]; }</div>
-<div class="line"><a id="l00558" name="l00558"></a><span class="lineno">  558</span>}</div>
-<div class="line"><a id="l00559" name="l00559"></a><span class="lineno">  559</span> </div>
-<div class="line"><a id="l00565" name="l00565"></a><span class="lineno">  565</span><span class="comment">//In C: again-two-registers.c hhb_get_improved_linear_counting_estimate L1274</span></div>
-<div class="line"><a id="l00566" name="l00566"></a><span class="lineno">  566</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00567" name="l00567"></a><span class="lineno">  567</span><span class="keywordtype">double</span> HllArray&lt;A&gt;::getHllBitMapEstimate()<span class="keyword"> const </span>{</div>
-<div class="line"><a id="l00568" name="l00568"></a><span class="lineno">  568</span>  <span class="keyword">const</span> uint32_t configK = 1 &lt;&lt; this-&gt;lgConfigK_;</div>
-<div class="line"><a id="l00569" name="l00569"></a><span class="lineno">  569</span>  <span class="keyword">const</span> uint32_t numUnhitBuckets = curMin_ == 0 ? numAtCurMin_ : 0;</div>
-<div class="line"><a id="l00570" name="l00570"></a><span class="lineno">  570</span> </div>
-<div class="line"><a id="l00571" name="l00571"></a><span class="lineno">  571</span>  <span class="comment">//This will eventually go away.</span></div>
-<div class="line"><a id="l00572" name="l00572"></a><span class="lineno">  572</span>  <span class="keywordflow">if</span> (numUnhitBuckets == 0) {</div>
-<div class="line"><a id="l00573" name="l00573"></a><span class="lineno">  573</span>    <span class="keywordflow">return</span> configK * log(configK / 0.5);</div>
-<div class="line"><a id="l00574" name="l00574"></a><span class="lineno">  574</span>  }</div>
-<div class="line"><a id="l00575" name="l00575"></a><span class="lineno">  575</span> </div>
-<div class="line"><a id="l00576" name="l00576"></a><span class="lineno">  576</span>  <span class="keyword">const</span> uint32_t numHitBuckets = configK - numUnhitBuckets;</div>
-<div class="line"><a id="l00577" name="l00577"></a><span class="lineno">  577</span>  <span class="keywordflow">return</span> HarmonicNumbers&lt;A&gt;::getBitMapEstimate(configK, numHitBuckets);</div>
-<div class="line"><a id="l00578" name="l00578"></a><span class="lineno">  578</span>}</div>
-<div class="line"><a id="l00579" name="l00579"></a><span class="lineno">  579</span> </div>
-<div class="line"><a id="l00580" name="l00580"></a><span class="lineno">  580</span><span class="comment">//In C: again-two-registers.c hhb_get_raw_estimate L1167</span></div>
-<div class="line"><a id="l00581" name="l00581"></a><span class="lineno">  581</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00582" name="l00582"></a><span class="lineno">  582</span><span class="keywordtype">double</span> HllArray&lt;A&gt;::getHllRawEstimate()<span class="keyword"> const </span>{</div>
-<div class="line"><a id="l00583" name="l00583"></a><span class="lineno">  583</span>  <span class="keyword">const</span> uint32_t configK = 1 &lt;&lt; this-&gt;lgConfigK_;</div>
-<div class="line"><a id="l00584" name="l00584"></a><span class="lineno">  584</span>  <span class="keywordtype">double</span> correctionFactor;</div>
-<div class="line"><a id="l00585" name="l00585"></a><span class="lineno">  585</span>  <span class="keywordflow">if</span> (this-&gt;lgConfigK_ == 4) { correctionFactor = 0.673; }</div>
-<div class="line"><a id="l00586" name="l00586"></a><span class="lineno">  586</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span> (this-&gt;lgConfigK_ == 5) { correctionFactor = 0.697; }</div>
-<div class="line"><a id="l00587" name="l00587"></a><span class="lineno">  587</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span> (this-&gt;lgConfigK_ == 6) { correctionFactor = 0.709; }</div>
-<div class="line"><a id="l00588" name="l00588"></a><span class="lineno">  588</span>  <span class="keywordflow">else</span> { correctionFactor = 0.7213 / (1.0 + (1.079 / configK)); }</div>
-<div class="line"><a id="l00589" name="l00589"></a><span class="lineno">  589</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> hyperEst = (correctionFactor * configK * configK) / (kxq0_ + kxq1_);</div>
-<div class="line"><a id="l00590" name="l00590"></a><span class="lineno">  590</span>  <span class="keywordflow">return</span> hyperEst;</div>
-<div class="line"><a id="l00591" name="l00591"></a><span class="lineno">  591</span>}</div>
-<div class="line"><a id="l00592" name="l00592"></a><span class="lineno">  592</span> </div>
-<div class="line"><a id="l00593" name="l00593"></a><span class="lineno">  593</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00594" name="l00594"></a><span class="lineno">  594</span><span class="keywordtype">void</span> HllArray&lt;A&gt;::setRebuildKxqCurminFlag(<span class="keywordtype">bool</span> rebuild) {</div>
-<div class="line"><a id="l00595" name="l00595"></a><span class="lineno">  595</span>  rebuild_kxq_curmin_ = rebuild;</div>
-<div class="line"><a id="l00596" name="l00596"></a><span class="lineno">  596</span>}</div>
-<div class="line"><a id="l00597" name="l00597"></a><span class="lineno">  597</span> </div>
-<div class="line"><a id="l00598" name="l00598"></a><span class="lineno">  598</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00599" name="l00599"></a><span class="lineno">  599</span><span class="keywordtype">bool</span> HllArray&lt;A&gt;::isRebuildKxqCurminFlag()<span class="keyword"> const </span>{</div>
-<div class="line"><a id="l00600" name="l00600"></a><span class="lineno">  600</span>  <span class="keywordflow">return</span> rebuild_kxq_curmin_;</div>
-<div class="line"><a id="l00601" name="l00601"></a><span class="lineno">  601</span>}</div>
-<div class="line"><a id="l00602" name="l00602"></a><span class="lineno">  602</span> </div>
-<div class="line"><a id="l00603" name="l00603"></a><span class="lineno">  603</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00604" name="l00604"></a><span class="lineno">  604</span><span class="keywordtype">void</span> HllArray&lt;A&gt;::check_rebuild_kxq_cur_min() {</div>
-<div class="line"><a id="l00605" name="l00605"></a><span class="lineno">  605</span>  <span class="keywordflow">if</span> (!rebuild_kxq_curmin_) { <span class="keywordflow">return</span>; }</div>
-<div class="line"><a id="l00606" name="l00606"></a><span class="lineno">  606</span> </div>
-<div class="line"><a id="l00607" name="l00607"></a><span class="lineno">  607</span>  uint8_t cur_min = 64;</div>
-<div class="line"><a id="l00608" name="l00608"></a><span class="lineno">  608</span>  uint32_t num_at_cur_min = 0;</div>
-<div class="line"><a id="l00609" name="l00609"></a><span class="lineno">  609</span>  <span class="keywordtype">double</span> kxq0 = 1 &lt;&lt; this-&gt;lgConfigK_;</div>
-<div class="line"><a id="l00610" name="l00610"></a><span class="lineno">  610</span>  <span class="keywordtype">double</span> kxq1 = 0;</div>
-<div class="line"><a id="l00611" name="l00611"></a><span class="lineno">  611</span> </div>
-<div class="line"><a id="l00612" name="l00612"></a><span class="lineno">  612</span>  <span class="keyword">auto</span> it = this-&gt;begin(<span class="keyword">true</span>); <span class="comment">// want all points to adjust cur_min</span></div>
-<div class="line"><a id="l00613" name="l00613"></a><span class="lineno">  613</span>  <span class="keyword">const</span> <span class="keyword">auto</span> end = this-&gt;end();</div>
-<div class="line"><a id="l00614" name="l00614"></a><span class="lineno">  614</span>  <span class="keywordflow">while</span> (it != end) {</div>
-<div class="line"><a id="l00615" name="l00615"></a><span class="lineno">  615</span>    uint8_t v = HllUtil&lt;A&gt;::getValue(*it);</div>
-<div class="line"><a id="l00616" name="l00616"></a><span class="lineno">  616</span>    <span class="keywordflow">if</span> (v &gt; 0) {</div>
-<div class="line"><a id="l00617" name="l00617"></a><span class="lineno">  617</span>      <span class="keywordflow">if</span> (v &lt; 32) { kxq0 += INVERSE_POWERS_OF_2[v] - 1.0; }</div>
-<div class="line"><a id="l00618" name="l00618"></a><span class="lineno">  618</span>      <span class="keywordflow">else</span>        { kxq1 += INVERSE_POWERS_OF_2[v] - 1.0; }</div>
-<div class="line"><a id="l00619" name="l00619"></a><span class="lineno">  619</span>    }</div>
-<div class="line"><a id="l00620" name="l00620"></a><span class="lineno">  620</span>    <span class="keywordflow">if</span> (v &gt; cur_min) { ++it; <span class="keywordflow">continue</span>; }</div>
-<div class="line"><a id="l00621" name="l00621"></a><span class="lineno">  621</span>    <span class="keywordflow">if</span> (v &lt; cur_min) {</div>
-<div class="line"><a id="l00622" name="l00622"></a><span class="lineno">  622</span>      cur_min = v;</div>
-<div class="line"><a id="l00623" name="l00623"></a><span class="lineno">  623</span>      num_at_cur_min = 1;</div>
-<div class="line"><a id="l00624" name="l00624"></a><span class="lineno">  624</span>    } <span class="keywordflow">else</span> {</div>
-<div class="line"><a id="l00625" name="l00625"></a><span class="lineno">  625</span>      ++num_at_cur_min;</div>
-<div class="line"><a id="l00626" name="l00626"></a><span class="lineno">  626</span>    }    </div>
-<div class="line"><a id="l00627" name="l00627"></a><span class="lineno">  627</span>    ++it;</div>
-<div class="line"><a id="l00628" name="l00628"></a><span class="lineno">  628</span>  }</div>
-<div class="line"><a id="l00629" name="l00629"></a><span class="lineno">  629</span> </div>
-<div class="line"><a id="l00630" name="l00630"></a><span class="lineno">  630</span>  kxq0_ = kxq0;</div>
-<div class="line"><a id="l00631" name="l00631"></a><span class="lineno">  631</span>  kxq1_ = kxq1;</div>
-<div class="line"><a id="l00632" name="l00632"></a><span class="lineno">  632</span>  curMin_ = cur_min;</div>
-<div class="line"><a id="l00633" name="l00633"></a><span class="lineno">  633</span>  numAtCurMin_ = num_at_cur_min;</div>
-<div class="line"><a id="l00634" name="l00634"></a><span class="lineno">  634</span>  rebuild_kxq_curmin_ = <span class="keyword">false</span>;</div>
-<div class="line"><a id="l00635" name="l00635"></a><span class="lineno">  635</span>  <span class="comment">// HipAccum is not affected</span></div>
+<div class="line"><a id="l00400" name="l00400"></a><span class="lineno">  400</span>  <span class="comment">// The following constants comes from empirical measurements of the crossover point</span></div>
+<div class="line"><a id="l00401" name="l00401"></a><span class="lineno">  401</span>  <span class="comment">// between the average error of the linear estimator and the adjusted hll estimator</span></div>
+<div class="line"><a id="l00402" name="l00402"></a><span class="lineno">  402</span>  <span class="keywordtype">double</span> crossOver = 0.64;</div>
+<div class="line"><a id="l00403" name="l00403"></a><span class="lineno">  403</span>  <span class="keywordflow">if</span> (this-&gt;lgConfigK_ == 4)      { crossOver = 0.718; }</div>
+<div class="line"><a id="l00404" name="l00404"></a><span class="lineno">  404</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span> (this-&gt;lgConfigK_ == 5) { crossOver = 0.672; }</div>
+<div class="line"><a id="l00405" name="l00405"></a><span class="lineno">  405</span> </div>
+<div class="line"><a id="l00406" name="l00406"></a><span class="lineno">  406</span>  <span class="keywordflow">return</span> (avgEst &gt; (crossOver * (1 &lt;&lt; this-&gt;lgConfigK_))) ? adjEst : linEst;</div>
+<div class="line"><a id="l00407" name="l00407"></a><span class="lineno">  407</span>}</div>
+<div class="line"><a id="l00408" name="l00408"></a><span class="lineno">  408</span> </div>
+<div class="line"><a id="l00409" name="l00409"></a><span class="lineno">  409</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00410" name="l00410"></a><span class="lineno">  410</span><span class="keywordtype">double</span> HllArray&lt;A&gt;::getKxQ0()<span class="keyword"> const </span>{</div>
+<div class="line"><a id="l00411" name="l00411"></a><span class="lineno">  411</span>  <span class="keywordflow">return</span> kxq0_;</div>
+<div class="line"><a id="l00412" name="l00412"></a><span class="lineno">  412</span>}</div>
+<div class="line"><a id="l00413" name="l00413"></a><span class="lineno">  413</span> </div>
+<div class="line"><a id="l00414" name="l00414"></a><span class="lineno">  414</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00415" name="l00415"></a><span class="lineno">  415</span><span class="keywordtype">double</span> HllArray&lt;A&gt;::getKxQ1()<span class="keyword"> const </span>{</div>
+<div class="line"><a id="l00416" name="l00416"></a><span class="lineno">  416</span>  <span class="keywordflow">return</span> kxq1_;</div>
+<div class="line"><a id="l00417" name="l00417"></a><span class="lineno">  417</span>}</div>
+<div class="line"><a id="l00418" name="l00418"></a><span class="lineno">  418</span> </div>
+<div class="line"><a id="l00419" name="l00419"></a><span class="lineno">  419</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00420" name="l00420"></a><span class="lineno">  420</span><span class="keywordtype">double</span> HllArray&lt;A&gt;::getHipAccum()<span class="keyword"> const </span>{</div>
+<div class="line"><a id="l00421" name="l00421"></a><span class="lineno">  421</span>  <span class="keywordflow">return</span> hipAccum_;</div>
+<div class="line"><a id="l00422" name="l00422"></a><span class="lineno">  422</span>}</div>
+<div class="line"><a id="l00423" name="l00423"></a><span class="lineno">  423</span> </div>
+<div class="line"><a id="l00424" name="l00424"></a><span class="lineno">  424</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00425" name="l00425"></a><span class="lineno">  425</span>uint8_t HllArray&lt;A&gt;::getCurMin()<span class="keyword"> const </span>{</div>
+<div class="line"><a id="l00426" name="l00426"></a><span class="lineno">  426</span>  <span class="keywordflow">return</span> curMin_;</div>
+<div class="line"><a id="l00427" name="l00427"></a><span class="lineno">  427</span>}</div>
+<div class="line"><a id="l00428" name="l00428"></a><span class="lineno">  428</span> </div>
+<div class="line"><a id="l00429" name="l00429"></a><span class="lineno">  429</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00430" name="l00430"></a><span class="lineno">  430</span>uint32_t HllArray&lt;A&gt;::getNumAtCurMin()<span class="keyword"> const </span>{</div>
+<div class="line"><a id="l00431" name="l00431"></a><span class="lineno">  431</span>  <span class="keywordflow">return</span> numAtCurMin_;</div>
+<div class="line"><a id="l00432" name="l00432"></a><span class="lineno">  432</span>}</div>
+<div class="line"><a id="l00433" name="l00433"></a><span class="lineno">  433</span> </div>
+<div class="line"><a id="l00434" name="l00434"></a><span class="lineno">  434</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00435" name="l00435"></a><span class="lineno">  435</span><span class="keywordtype">void</span> HllArray&lt;A&gt;::putKxQ0(<span class="keywordtype">double</span> kxq0) {</div>
+<div class="line"><a id="l00436" name="l00436"></a><span class="lineno">  436</span>  kxq0_ = kxq0;</div>
+<div class="line"><a id="l00437" name="l00437"></a><span class="lineno">  437</span>}</div>
+<div class="line"><a id="l00438" name="l00438"></a><span class="lineno">  438</span> </div>
+<div class="line"><a id="l00439" name="l00439"></a><span class="lineno">  439</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00440" name="l00440"></a><span class="lineno">  440</span><span class="keywordtype">void</span> HllArray&lt;A&gt;::putKxQ1(<span class="keywordtype">double</span> kxq1) {</div>
+<div class="line"><a id="l00441" name="l00441"></a><span class="lineno">  441</span>  kxq1_ = kxq1;</div>
+<div class="line"><a id="l00442" name="l00442"></a><span class="lineno">  442</span>}</div>
+<div class="line"><a id="l00443" name="l00443"></a><span class="lineno">  443</span> </div>
+<div class="line"><a id="l00444" name="l00444"></a><span class="lineno">  444</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00445" name="l00445"></a><span class="lineno">  445</span><span class="keywordtype">void</span> HllArray&lt;A&gt;::putHipAccum(<span class="keywordtype">double</span> hipAccum) {</div>
+<div class="line"><a id="l00446" name="l00446"></a><span class="lineno">  446</span>  hipAccum_ = hipAccum;</div>
+<div class="line"><a id="l00447" name="l00447"></a><span class="lineno">  447</span>}</div>
+<div class="line"><a id="l00448" name="l00448"></a><span class="lineno">  448</span> </div>
+<div class="line"><a id="l00449" name="l00449"></a><span class="lineno">  449</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00450" name="l00450"></a><span class="lineno">  450</span><span class="keywordtype">void</span> HllArray&lt;A&gt;::putCurMin(uint8_t curMin) {</div>
+<div class="line"><a id="l00451" name="l00451"></a><span class="lineno">  451</span>  curMin_ = curMin;</div>
+<div class="line"><a id="l00452" name="l00452"></a><span class="lineno">  452</span>}</div>
+<div class="line"><a id="l00453" name="l00453"></a><span class="lineno">  453</span> </div>
+<div class="line"><a id="l00454" name="l00454"></a><span class="lineno">  454</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00455" name="l00455"></a><span class="lineno">  455</span><span class="keywordtype">void</span> HllArray&lt;A&gt;::putNumAtCurMin(uint32_t numAtCurMin) {</div>
+<div class="line"><a id="l00456" name="l00456"></a><span class="lineno">  456</span>  numAtCurMin_ = numAtCurMin;</div>
+<div class="line"><a id="l00457" name="l00457"></a><span class="lineno">  457</span>}</div>
+<div class="line"><a id="l00458" name="l00458"></a><span class="lineno">  458</span> </div>
+<div class="line"><a id="l00459" name="l00459"></a><span class="lineno">  459</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00460" name="l00460"></a><span class="lineno">  460</span><span class="keywordtype">bool</span> HllArray&lt;A&gt;::isCompact()<span class="keyword"> const </span>{</div>
+<div class="line"><a id="l00461" name="l00461"></a><span class="lineno">  461</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
+<div class="line"><a id="l00462" name="l00462"></a><span class="lineno">  462</span>}</div>
+<div class="line"><a id="l00463" name="l00463"></a><span class="lineno">  463</span> </div>
+<div class="line"><a id="l00464" name="l00464"></a><span class="lineno">  464</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00465" name="l00465"></a><span class="lineno">  465</span><span class="keywordtype">bool</span> HllArray&lt;A&gt;::isEmpty()<span class="keyword"> const </span>{</div>
+<div class="line"><a id="l00466" name="l00466"></a><span class="lineno">  466</span>  <span class="comment">// mergeHll() is only called with non-empty sketches and sets this flag after updating the</span></div>
+<div class="line"><a id="l00467" name="l00467"></a><span class="lineno">  467</span>  <span class="comment">// register array. The cached curMin_/numAtCurMin_ may still have their empty-sketch values,</span></div>
+<div class="line"><a id="l00468" name="l00468"></a><span class="lineno">  468</span>  <span class="comment">// but a pending rebuild therefore proves that this array is not empty.</span></div>
+<div class="line"><a id="l00469" name="l00469"></a><span class="lineno">  469</span>  <span class="keywordflow">if</span> (rebuild_kxq_curmin_) <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
+<div class="line"><a id="l00470" name="l00470"></a><span class="lineno">  470</span>  <span class="keyword">const</span> uint32_t configK = 1 &lt;&lt; this-&gt;lgConfigK_;</div>
+<div class="line"><a id="l00471" name="l00471"></a><span class="lineno">  471</span>  <span class="keywordflow">return</span> (curMin_ == 0) &amp;&amp; (numAtCurMin_ == configK);</div>
+<div class="line"><a id="l00472" name="l00472"></a><span class="lineno">  472</span>}</div>
+<div class="line"><a id="l00473" name="l00473"></a><span class="lineno">  473</span> </div>
+<div class="line"><a id="l00474" name="l00474"></a><span class="lineno">  474</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00475" name="l00475"></a><span class="lineno">  475</span><span class="keywordtype">void</span> HllArray&lt;A&gt;::putOutOfOrderFlag(<span class="keywordtype">bool</span> flag) {</div>
+<div class="line"><a id="l00476" name="l00476"></a><span class="lineno">  476</span>  oooFlag_ = flag;</div>
+<div class="line"><a id="l00477" name="l00477"></a><span class="lineno">  477</span>}</div>
+<div class="line"><a id="l00478" name="l00478"></a><span class="lineno">  478</span> </div>
+<div class="line"><a id="l00479" name="l00479"></a><span class="lineno">  479</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00480" name="l00480"></a><span class="lineno">  480</span><span class="keywordtype">bool</span> HllArray&lt;A&gt;::isOutOfOrderFlag()<span class="keyword"> const </span>{</div>
+<div class="line"><a id="l00481" name="l00481"></a><span class="lineno">  481</span>  <span class="keywordflow">return</span> oooFlag_;</div>
+<div class="line"><a id="l00482" name="l00482"></a><span class="lineno">  482</span>}</div>
+<div class="line"><a id="l00483" name="l00483"></a><span class="lineno">  483</span> </div>
+<div class="line"><a id="l00484" name="l00484"></a><span class="lineno">  484</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00485" name="l00485"></a><span class="lineno">  485</span>uint32_t HllArray&lt;A&gt;::hllArrBytes(target_hll_type tgtHllType, uint8_t lgConfigK) {</div>
+<div class="line"><a id="l00486" name="l00486"></a><span class="lineno">  486</span>  <span class="keywordflow">switch</span> (tgtHllType) {</div>
+<div class="line"><a id="l00487" name="l00487"></a><span class="lineno">  487</span>  <span class="keywordflow">case</span> <a class="code hl_enumvalue" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4aebdac6704039b95d8b82629cda14b1b9">HLL_4</a>:</div>
+<div class="line"><a id="l00488" name="l00488"></a><span class="lineno">  488</span>    <span class="keywordflow">return</span> hll4ArrBytes(lgConfigK);</div>
+<div class="line"><a id="l00489" name="l00489"></a><span class="lineno">  489</span>  <span class="keywordflow">case</span> <a class="code hl_enumvalue" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4a0a2179d612c2ce6887e96279f25d7a77">HLL_6</a>:</div>
+<div class="line"><a id="l00490" name="l00490"></a><span class="lineno">  490</span>    <span class="keywordflow">return</span> hll6ArrBytes(lgConfigK);</div>
+<div class="line"><a id="l00491" name="l00491"></a><span class="lineno">  491</span>  <span class="keywordflow">case</span> <a class="code hl_enumvalue" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4a3a5efa79623d3e2ab53f27ef53237c7f">HLL_8</a>:</div>
+<div class="line"><a id="l00492" name="l00492"></a><span class="lineno">  492</span>    <span class="keywordflow">return</span> hll8ArrBytes(lgConfigK);</div>
+<div class="line"><a id="l00493" name="l00493"></a><span class="lineno">  493</span>  <span class="keywordflow">default</span>:</div>
+<div class="line"><a id="l00494" name="l00494"></a><span class="lineno">  494</span>    <span class="keywordflow">throw</span> std::invalid_argument(<span class="stringliteral">&quot;Invalid target HLL type&quot;</span>); </div>
+<div class="line"><a id="l00495" name="l00495"></a><span class="lineno">  495</span>  }</div>
+<div class="line"><a id="l00496" name="l00496"></a><span class="lineno">  496</span>}</div>
+<div class="line"><a id="l00497" name="l00497"></a><span class="lineno">  497</span> </div>
+<div class="line"><a id="l00498" name="l00498"></a><span class="lineno">  498</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00499" name="l00499"></a><span class="lineno">  499</span>uint32_t HllArray&lt;A&gt;::hll4ArrBytes(uint8_t lgConfigK) {</div>
+<div class="line"><a id="l00500" name="l00500"></a><span class="lineno">  500</span>  <span class="keywordflow">return</span> 1 &lt;&lt; (lgConfigK - 1);</div>
+<div class="line"><a id="l00501" name="l00501"></a><span class="lineno">  501</span>}</div>
+<div class="line"><a id="l00502" name="l00502"></a><span class="lineno">  502</span> </div>
+<div class="line"><a id="l00503" name="l00503"></a><span class="lineno">  503</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00504" name="l00504"></a><span class="lineno">  504</span>uint32_t HllArray&lt;A&gt;::hll6ArrBytes(uint8_t lgConfigK) {</div>
+<div class="line"><a id="l00505" name="l00505"></a><span class="lineno">  505</span>  <span class="keyword">const</span> uint32_t numSlots = 1 &lt;&lt; lgConfigK;</div>
+<div class="line"><a id="l00506" name="l00506"></a><span class="lineno">  506</span>  <span class="keywordflow">return</span> ((numSlots * 3) &gt;&gt; 2) + 1;</div>
+<div class="line"><a id="l00507" name="l00507"></a><span class="lineno">  507</span>}</div>
+<div class="line"><a id="l00508" name="l00508"></a><span class="lineno">  508</span> </div>
+<div class="line"><a id="l00509" name="l00509"></a><span class="lineno">  509</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00510" name="l00510"></a><span class="lineno">  510</span>uint32_t HllArray&lt;A&gt;::hll8ArrBytes(uint8_t lgConfigK) {</div>
+<div class="line"><a id="l00511" name="l00511"></a><span class="lineno">  511</span>  <span class="keywordflow">return</span> 1 &lt;&lt; lgConfigK;</div>
+<div class="line"><a id="l00512" name="l00512"></a><span class="lineno">  512</span>}</div>
+<div class="line"><a id="l00513" name="l00513"></a><span class="lineno">  513</span> </div>
+<div class="line"><a id="l00514" name="l00514"></a><span class="lineno">  514</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00515" name="l00515"></a><span class="lineno">  515</span>uint32_t HllArray&lt;A&gt;::getMemDataStart()<span class="keyword"> const </span>{</div>
+<div class="line"><a id="l00516" name="l00516"></a><span class="lineno">  516</span>  <span class="keywordflow">return</span> hll_constants::HLL_BYTE_ARR_START;</div>
+<div class="line"><a id="l00517" name="l00517"></a><span class="lineno">  517</span>}</div>
+<div class="line"><a id="l00518" name="l00518"></a><span class="lineno">  518</span> </div>
+<div class="line"><a id="l00519" name="l00519"></a><span class="lineno">  519</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00520" name="l00520"></a><span class="lineno">  520</span>uint32_t HllArray&lt;A&gt;::getUpdatableSerializationBytes()<span class="keyword"> const </span>{</div>
+<div class="line"><a id="l00521" name="l00521"></a><span class="lineno">  521</span>  <span class="keywordflow">return</span> hll_constants::HLL_BYTE_ARR_START + getHllByteArrBytes();</div>
+<div class="line"><a id="l00522" name="l00522"></a><span class="lineno">  522</span>}</div>
+<div class="line"><a id="l00523" name="l00523"></a><span class="lineno">  523</span> </div>
+<div class="line"><a id="l00524" name="l00524"></a><span class="lineno">  524</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00525" name="l00525"></a><span class="lineno">  525</span>uint32_t HllArray&lt;A&gt;::getCompactSerializationBytes()<span class="keyword"> const </span>{</div>
+<div class="line"><a id="l00526" name="l00526"></a><span class="lineno">  526</span>  AuxHashMap&lt;A&gt;* auxHashMap = getAuxHashMap();</div>
+<div class="line"><a id="l00527" name="l00527"></a><span class="lineno">  527</span>  <span class="keyword">const</span> uint32_t auxCountBytes = ((auxHashMap == <span class="keyword">nullptr</span>) ? 0 : auxHashMap-&gt;getCompactSizeBytes());</div>
+<div class="line"><a id="l00528" name="l00528"></a><span class="lineno">  528</span>  <span class="keywordflow">return</span> hll_constants::HLL_BYTE_ARR_START + getHllByteArrBytes() + auxCountBytes;</div>
+<div class="line"><a id="l00529" name="l00529"></a><span class="lineno">  529</span>}</div>
+<div class="line"><a id="l00530" name="l00530"></a><span class="lineno">  530</span> </div>
+<div class="line"><a id="l00531" name="l00531"></a><span class="lineno">  531</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00532" name="l00532"></a><span class="lineno">  532</span>uint8_t HllArray&lt;A&gt;::getPreInts()<span class="keyword"> const </span>{</div>
+<div class="line"><a id="l00533" name="l00533"></a><span class="lineno">  533</span>  <span class="keywordflow">return</span> hll_constants::HLL_PREINTS;</div>
+<div class="line"><a id="l00534" name="l00534"></a><span class="lineno">  534</span>}</div>
+<div class="line"><a id="l00535" name="l00535"></a><span class="lineno">  535</span> </div>
+<div class="line"><a id="l00536" name="l00536"></a><span class="lineno">  536</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00537" name="l00537"></a><span class="lineno">  537</span>AuxHashMap&lt;A&gt;* HllArray&lt;A&gt;::getAuxHashMap()<span class="keyword"> const </span>{</div>
+<div class="line"><a id="l00538" name="l00538"></a><span class="lineno">  538</span>  <span class="keywordflow">return</span> <span class="keyword">nullptr</span>;</div>
+<div class="line"><a id="l00539" name="l00539"></a><span class="lineno">  539</span>}</div>
+<div class="line"><a id="l00540" name="l00540"></a><span class="lineno">  540</span> </div>
+<div class="line"><a id="l00541" name="l00541"></a><span class="lineno">  541</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00542" name="l00542"></a><span class="lineno">  542</span><span class="keyword">auto</span> HllArray&lt;A&gt;::getHllArray() const -&gt; const vector_bytes&amp; {</div>
+<div class="line"><a id="l00543" name="l00543"></a><span class="lineno">  543</span>  <span class="keywordflow">return</span> hllByteArr_;</div>
+<div class="line"><a id="l00544" name="l00544"></a><span class="lineno">  544</span>}</div>
+<div class="line"><a id="l00545" name="l00545"></a><span class="lineno">  545</span> </div>
+<div class="line"><a id="l00546" name="l00546"></a><span class="lineno">  546</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00547" name="l00547"></a><span class="lineno">  547</span><span class="keywordtype">void</span> HllArray&lt;A&gt;::hipAndKxQIncrementalUpdate(uint8_t oldValue, uint8_t newValue) {</div>
+<div class="line"><a id="l00548" name="l00548"></a><span class="lineno">  548</span>  <span class="keyword">const</span> uint32_t configK = 1 &lt;&lt; this-&gt;getLgConfigK();</div>
+<div class="line"><a id="l00549" name="l00549"></a><span class="lineno">  549</span>  <span class="comment">// update hip BEFORE updating kxq</span></div>
+<div class="line"><a id="l00550" name="l00550"></a><span class="lineno">  550</span>  <span class="keywordflow">if</span> (!oooFlag_) { hipAccum_ += configK / (kxq0_ + kxq1_); }</div>
+<div class="line"><a id="l00551" name="l00551"></a><span class="lineno">  551</span>  <span class="comment">// update kxq0 and kxq1; subtract first, then add</span></div>
+<div class="line"><a id="l00552" name="l00552"></a><span class="lineno">  552</span>  <span class="keywordflow">if</span> (oldValue &lt; 32) { kxq0_ -= INVERSE_POWERS_OF_2[oldValue]; }</div>
+<div class="line"><a id="l00553" name="l00553"></a><span class="lineno">  553</span>  <span class="keywordflow">else</span>               { kxq1_ -= INVERSE_POWERS_OF_2[oldValue]; }</div>
+<div class="line"><a id="l00554" name="l00554"></a><span class="lineno">  554</span>  <span class="keywordflow">if</span> (newValue &lt; 32) { kxq0_ += INVERSE_POWERS_OF_2[newValue]; }</div>
+<div class="line"><a id="l00555" name="l00555"></a><span class="lineno">  555</span>  <span class="keywordflow">else</span>               { kxq1_ += INVERSE_POWERS_OF_2[newValue]; }</div>
+<div class="line"><a id="l00556" name="l00556"></a><span class="lineno">  556</span>}</div>
+<div class="line"><a id="l00557" name="l00557"></a><span class="lineno">  557</span> </div>
+<div class="line"><a id="l00563" name="l00563"></a><span class="lineno">  563</span><span class="comment">//In C: again-two-registers.c hhb_get_improved_linear_counting_estimate L1274</span></div>
+<div class="line"><a id="l00564" name="l00564"></a><span class="lineno">  564</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00565" name="l00565"></a><span class="lineno">  565</span><span class="keywordtype">double</span> HllArray&lt;A&gt;::getHllBitMapEstimate()<span class="keyword"> const </span>{</div>
+<div class="line"><a id="l00566" name="l00566"></a><span class="lineno">  566</span>  <span class="keyword">const</span> uint32_t configK = 1 &lt;&lt; this-&gt;lgConfigK_;</div>
+<div class="line"><a id="l00567" name="l00567"></a><span class="lineno">  567</span>  <span class="keyword">const</span> uint32_t numUnhitBuckets = curMin_ == 0 ? numAtCurMin_ : 0;</div>
+<div class="line"><a id="l00568" name="l00568"></a><span class="lineno">  568</span> </div>
+<div class="line"><a id="l00569" name="l00569"></a><span class="lineno">  569</span>  <span class="comment">//This will eventually go away.</span></div>
+<div class="line"><a id="l00570" name="l00570"></a><span class="lineno">  570</span>  <span class="keywordflow">if</span> (numUnhitBuckets == 0) {</div>
+<div class="line"><a id="l00571" name="l00571"></a><span class="lineno">  571</span>    <span class="keywordflow">return</span> configK * log(configK / 0.5);</div>
+<div class="line"><a id="l00572" name="l00572"></a><span class="lineno">  572</span>  }</div>
+<div class="line"><a id="l00573" name="l00573"></a><span class="lineno">  573</span> </div>
+<div class="line"><a id="l00574" name="l00574"></a><span class="lineno">  574</span>  <span class="keyword">const</span> uint32_t numHitBuckets = configK - numUnhitBuckets;</div>
+<div class="line"><a id="l00575" name="l00575"></a><span class="lineno">  575</span>  <span class="keywordflow">return</span> HarmonicNumbers&lt;A&gt;::getBitMapEstimate(configK, numHitBuckets);</div>
+<div class="line"><a id="l00576" name="l00576"></a><span class="lineno">  576</span>}</div>
+<div class="line"><a id="l00577" name="l00577"></a><span class="lineno">  577</span> </div>
+<div class="line"><a id="l00578" name="l00578"></a><span class="lineno">  578</span><span class="comment">//In C: again-two-registers.c hhb_get_raw_estimate L1167</span></div>
+<div class="line"><a id="l00579" name="l00579"></a><span class="lineno">  579</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00580" name="l00580"></a><span class="lineno">  580</span><span class="keywordtype">double</span> HllArray&lt;A&gt;::getHllRawEstimate()<span class="keyword"> const </span>{</div>
+<div class="line"><a id="l00581" name="l00581"></a><span class="lineno">  581</span>  <span class="keyword">const</span> uint32_t configK = 1 &lt;&lt; this-&gt;lgConfigK_;</div>
+<div class="line"><a id="l00582" name="l00582"></a><span class="lineno">  582</span>  <span class="keywordtype">double</span> correctionFactor;</div>
+<div class="line"><a id="l00583" name="l00583"></a><span class="lineno">  583</span>  <span class="keywordflow">if</span> (this-&gt;lgConfigK_ == 4) { correctionFactor = 0.673; }</div>
+<div class="line"><a id="l00584" name="l00584"></a><span class="lineno">  584</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span> (this-&gt;lgConfigK_ == 5) { correctionFactor = 0.697; }</div>
+<div class="line"><a id="l00585" name="l00585"></a><span class="lineno">  585</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span> (this-&gt;lgConfigK_ == 6) { correctionFactor = 0.709; }</div>
+<div class="line"><a id="l00586" name="l00586"></a><span class="lineno">  586</span>  <span class="keywordflow">else</span> { correctionFactor = 0.7213 / (1.0 + (1.079 / configK)); }</div>
+<div class="line"><a id="l00587" name="l00587"></a><span class="lineno">  587</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> hyperEst = (correctionFactor * configK * configK) / (kxq0_ + kxq1_);</div>
+<div class="line"><a id="l00588" name="l00588"></a><span class="lineno">  588</span>  <span class="keywordflow">return</span> hyperEst;</div>
+<div class="line"><a id="l00589" name="l00589"></a><span class="lineno">  589</span>}</div>
+<div class="line"><a id="l00590" name="l00590"></a><span class="lineno">  590</span> </div>
+<div class="line"><a id="l00591" name="l00591"></a><span class="lineno">  591</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00592" name="l00592"></a><span class="lineno">  592</span><span class="keywordtype">void</span> HllArray&lt;A&gt;::setRebuildKxqCurminFlag(<span class="keywordtype">bool</span> rebuild) {</div>
+<div class="line"><a id="l00593" name="l00593"></a><span class="lineno">  593</span>  rebuild_kxq_curmin_ = rebuild;</div>
+<div class="line"><a id="l00594" name="l00594"></a><span class="lineno">  594</span>}</div>
+<div class="line"><a id="l00595" name="l00595"></a><span class="lineno">  595</span> </div>
+<div class="line"><a id="l00596" name="l00596"></a><span class="lineno">  596</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00597" name="l00597"></a><span class="lineno">  597</span><span class="keywordtype">bool</span> HllArray&lt;A&gt;::isRebuildKxqCurminFlag()<span class="keyword"> const </span>{</div>
+<div class="line"><a id="l00598" name="l00598"></a><span class="lineno">  598</span>  <span class="keywordflow">return</span> rebuild_kxq_curmin_;</div>
+<div class="line"><a id="l00599" name="l00599"></a><span class="lineno">  599</span>}</div>
+<div class="line"><a id="l00600" name="l00600"></a><span class="lineno">  600</span> </div>
+<div class="line"><a id="l00601" name="l00601"></a><span class="lineno">  601</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00602" name="l00602"></a><span class="lineno">  602</span><span class="keywordtype">void</span> HllArray&lt;A&gt;::check_rebuild_kxq_cur_min() {</div>
+<div class="line"><a id="l00603" name="l00603"></a><span class="lineno">  603</span>  <span class="keywordflow">if</span> (!rebuild_kxq_curmin_) { <span class="keywordflow">return</span>; }</div>
+<div class="line"><a id="l00604" name="l00604"></a><span class="lineno">  604</span> </div>
+<div class="line"><a id="l00605" name="l00605"></a><span class="lineno">  605</span>  uint8_t cur_min = 64;</div>
+<div class="line"><a id="l00606" name="l00606"></a><span class="lineno">  606</span>  uint32_t num_at_cur_min = 0;</div>
+<div class="line"><a id="l00607" name="l00607"></a><span class="lineno">  607</span>  <span class="keywordtype">double</span> kxq0 = 1 &lt;&lt; this-&gt;lgConfigK_;</div>
+<div class="line"><a id="l00608" name="l00608"></a><span class="lineno">  608</span>  <span class="keywordtype">double</span> kxq1 = 0;</div>
+<div class="line"><a id="l00609" name="l00609"></a><span class="lineno">  609</span> </div>
+<div class="line"><a id="l00610" name="l00610"></a><span class="lineno">  610</span>  <span class="keyword">auto</span> it = this-&gt;begin(<span class="keyword">true</span>); <span class="comment">// want all points to adjust cur_min</span></div>
+<div class="line"><a id="l00611" name="l00611"></a><span class="lineno">  611</span>  <span class="keyword">const</span> <span class="keyword">auto</span> end = this-&gt;end();</div>
+<div class="line"><a id="l00612" name="l00612"></a><span class="lineno">  612</span>  <span class="keywordflow">while</span> (it != end) {</div>
+<div class="line"><a id="l00613" name="l00613"></a><span class="lineno">  613</span>    uint8_t v = HllUtil&lt;A&gt;::getValue(*it);</div>
+<div class="line"><a id="l00614" name="l00614"></a><span class="lineno">  614</span>    <span class="keywordflow">if</span> (v &gt; 0) {</div>
+<div class="line"><a id="l00615" name="l00615"></a><span class="lineno">  615</span>      <span class="keywordflow">if</span> (v &lt; 32) { kxq0 += INVERSE_POWERS_OF_2[v] - 1.0; }</div>
+<div class="line"><a id="l00616" name="l00616"></a><span class="lineno">  616</span>      <span class="keywordflow">else</span>        { kxq1 += INVERSE_POWERS_OF_2[v] - 1.0; }</div>
+<div class="line"><a id="l00617" name="l00617"></a><span class="lineno">  617</span>    }</div>
+<div class="line"><a id="l00618" name="l00618"></a><span class="lineno">  618</span>    <span class="keywordflow">if</span> (v &gt; cur_min) { ++it; <span class="keywordflow">continue</span>; }</div>
+<div class="line"><a id="l00619" name="l00619"></a><span class="lineno">  619</span>    <span class="keywordflow">if</span> (v &lt; cur_min) {</div>
+<div class="line"><a id="l00620" name="l00620"></a><span class="lineno">  620</span>      cur_min = v;</div>
+<div class="line"><a id="l00621" name="l00621"></a><span class="lineno">  621</span>      num_at_cur_min = 1;</div>
+<div class="line"><a id="l00622" name="l00622"></a><span class="lineno">  622</span>    } <span class="keywordflow">else</span> {</div>
+<div class="line"><a id="l00623" name="l00623"></a><span class="lineno">  623</span>      ++num_at_cur_min;</div>
+<div class="line"><a id="l00624" name="l00624"></a><span class="lineno">  624</span>    }    </div>
+<div class="line"><a id="l00625" name="l00625"></a><span class="lineno">  625</span>    ++it;</div>
+<div class="line"><a id="l00626" name="l00626"></a><span class="lineno">  626</span>  }</div>
+<div class="line"><a id="l00627" name="l00627"></a><span class="lineno">  627</span> </div>
+<div class="line"><a id="l00628" name="l00628"></a><span class="lineno">  628</span>  kxq0_ = kxq0;</div>
+<div class="line"><a id="l00629" name="l00629"></a><span class="lineno">  629</span>  kxq1_ = kxq1;</div>
+<div class="line"><a id="l00630" name="l00630"></a><span class="lineno">  630</span>  curMin_ = cur_min;</div>
+<div class="line"><a id="l00631" name="l00631"></a><span class="lineno">  631</span>  numAtCurMin_ = num_at_cur_min;</div>
+<div class="line"><a id="l00632" name="l00632"></a><span class="lineno">  632</span>  rebuild_kxq_curmin_ = <span class="keyword">false</span>;</div>
+<div class="line"><a id="l00633" name="l00633"></a><span class="lineno">  633</span>  <span class="comment">// HipAccum is not affected</span></div>
+<div class="line"><a id="l00634" name="l00634"></a><span class="lineno">  634</span> </div>
+<div class="line"><a id="l00635" name="l00635"></a><span class="lineno">  635</span>}</div>
 <div class="line"><a id="l00636" name="l00636"></a><span class="lineno">  636</span> </div>
-<div class="line"><a id="l00637" name="l00637"></a><span class="lineno">  637</span>}</div>
-<div class="line"><a id="l00638" name="l00638"></a><span class="lineno">  638</span> </div>
-<div class="line"><a id="l00639" name="l00639"></a><span class="lineno">  639</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00640" name="l00640"></a><span class="lineno">  640</span><span class="keyword">typename</span> HllArray&lt;A&gt;::const_iterator HllArray&lt;A&gt;::begin(<span class="keywordtype">bool</span> all)<span class="keyword"> const </span>{</div>
-<div class="line"><a id="l00641" name="l00641"></a><span class="lineno">  641</span>  <span class="keywordflow">return</span> const_iterator(hllByteArr_.data(), 1 &lt;&lt; this-&gt;lgConfigK_, 0, this-&gt;tgtHllType_, <span class="keyword">nullptr</span>, 0, all);</div>
-<div class="line"><a id="l00642" name="l00642"></a><span class="lineno">  642</span>}</div>
-<div class="line"><a id="l00643" name="l00643"></a><span class="lineno">  643</span> </div>
-<div class="line"><a id="l00644" name="l00644"></a><span class="lineno">  644</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00645" name="l00645"></a><span class="lineno">  645</span><span class="keyword">typename</span> HllArray&lt;A&gt;::const_iterator HllArray&lt;A&gt;::end()<span class="keyword"> const </span>{</div>
-<div class="line"><a id="l00646" name="l00646"></a><span class="lineno">  646</span>  <span class="keywordflow">return</span> const_iterator(hllByteArr_.data(), 1 &lt;&lt; this-&gt;lgConfigK_, 1 &lt;&lt; this-&gt;lgConfigK_, this-&gt;tgtHllType_, <span class="keyword">nullptr</span>, 0, <span class="keyword">false</span>);</div>
-<div class="line"><a id="l00647" name="l00647"></a><span class="lineno">  647</span>}</div>
-<div class="line"><a id="l00648" name="l00648"></a><span class="lineno">  648</span> </div>
-<div class="line"><a id="l00649" name="l00649"></a><span class="lineno">  649</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00650" name="l00650"></a><span class="lineno">  650</span>HllArray&lt;A&gt;::const_iterator::const_iterator(<span class="keyword">const</span> uint8_t* array, uint32_t array_size, uint32_t index, target_hll_type hll_type, <span class="keyword">const</span> AuxHashMap&lt;A&gt;* exceptions, uint8_t offset, <span class="keywordtype">bool</span> all):</div>
-<div class="line"><a id="l00651" name="l00651"></a><span class="lineno">  651</span>array_(array), array_size_(array_size), index_(index), hll_type_(hll_type), exceptions_(exceptions), offset_(offset), all_(all)</div>
-<div class="line"><a id="l00652" name="l00652"></a><span class="lineno">  652</span>{</div>
-<div class="line"><a id="l00653" name="l00653"></a><span class="lineno">  653</span>  <span class="keywordflow">while</span> (index_ &lt; array_size_) {</div>
-<div class="line"><a id="l00654" name="l00654"></a><span class="lineno">  654</span>    value_ = get_value(array_, index_, hll_type_, exceptions_, offset_);</div>
-<div class="line"><a id="l00655" name="l00655"></a><span class="lineno">  655</span>    <span class="keywordflow">if</span> (all_ || value_ != hll_constants::EMPTY) { <span class="keywordflow">break</span>; }</div>
-<div class="line"><a id="l00656" name="l00656"></a><span class="lineno">  656</span>    ++index_;</div>
-<div class="line"><a id="l00657" name="l00657"></a><span class="lineno">  657</span>  }</div>
-<div class="line"><a id="l00658" name="l00658"></a><span class="lineno">  658</span>}</div>
-<div class="line"><a id="l00659" name="l00659"></a><span class="lineno">  659</span> </div>
-<div class="line"><a id="l00660" name="l00660"></a><span class="lineno">  660</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00661" name="l00661"></a><span class="lineno">  661</span><span class="keyword">typename</span> HllArray&lt;A&gt;::const_iterator&amp; HllArray&lt;A&gt;::const_iterator::operator++() {</div>
-<div class="line"><a id="l00662" name="l00662"></a><span class="lineno">  662</span>  <span class="keywordflow">while</span> (++index_ &lt; array_size_) {</div>
-<div class="line"><a id="l00663" name="l00663"></a><span class="lineno">  663</span>    value_ = get_value(array_, index_, hll_type_, exceptions_, offset_);</div>
-<div class="line"><a id="l00664" name="l00664"></a><span class="lineno">  664</span>    <span class="keywordflow">if</span> (all_ || value_ != hll_constants::EMPTY) { <span class="keywordflow">break</span>; }</div>
-<div class="line"><a id="l00665" name="l00665"></a><span class="lineno">  665</span>  }</div>
-<div class="line"><a id="l00666" name="l00666"></a><span class="lineno">  666</span>  <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
-<div class="line"><a id="l00667" name="l00667"></a><span class="lineno">  667</span>}</div>
-<div class="line"><a id="l00668" name="l00668"></a><span class="lineno">  668</span> </div>
-<div class="line"><a id="l00669" name="l00669"></a><span class="lineno">  669</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00670" name="l00670"></a><span class="lineno">  670</span><span class="keywordtype">bool</span> HllArray&lt;A&gt;::const_iterator::operator!=(<span class="keyword">const</span> const_iterator&amp; other)<span class="keyword"> const </span>{</div>
-<div class="line"><a id="l00671" name="l00671"></a><span class="lineno">  671</span>  <span class="keywordflow">return</span> index_ != other.index_;</div>
-<div class="line"><a id="l00672" name="l00672"></a><span class="lineno">  672</span>}</div>
-<div class="line"><a id="l00673" name="l00673"></a><span class="lineno">  673</span> </div>
-<div class="line"><a id="l00674" name="l00674"></a><span class="lineno">  674</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00675" name="l00675"></a><span class="lineno">  675</span><span class="keyword">auto</span> HllArray&lt;A&gt;::const_iterator::operator*() const -&gt; reference {</div>
-<div class="line"><a id="l00676" name="l00676"></a><span class="lineno">  676</span>  <span class="keywordflow">return</span> HllUtil&lt;A&gt;::pair(index_, value_);</div>
-<div class="line"><a id="l00677" name="l00677"></a><span class="lineno">  677</span>}</div>
-<div class="line"><a id="l00678" name="l00678"></a><span class="lineno">  678</span> </div>
-<div class="line"><a id="l00679" name="l00679"></a><span class="lineno">  679</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00680" name="l00680"></a><span class="lineno">  680</span>uint8_t HllArray&lt;A&gt;::const_iterator::get_value(<span class="keyword">const</span> uint8_t* array, uint32_t index, target_hll_type hll_type, <span class="keyword">const</span> AuxHashMap&lt;A&gt;* exceptions, uint8_t offset) {</div>
-<div class="line"><a id="l00681" name="l00681"></a><span class="lineno">  681</span>  <span class="comment">// TODO: we should be able to improve efficiency here by reading multiple bytes at a time</span></div>
-<div class="line"><a id="l00682" name="l00682"></a><span class="lineno">  682</span>  <span class="comment">//       for HLL4 and HLL6</span></div>
-<div class="line"><a id="l00683" name="l00683"></a><span class="lineno">  683</span>  <span class="keywordflow">if</span> (hll_type == target_hll_type::HLL_4) {</div>
-<div class="line"><a id="l00684" name="l00684"></a><span class="lineno">  684</span>    uint8_t value = array[index &gt;&gt; 1];</div>
-<div class="line"><a id="l00685" name="l00685"></a><span class="lineno">  685</span>    <span class="keywordflow">if</span> ((index &amp; 1) &gt; 0) { <span class="comment">// odd</span></div>
-<div class="line"><a id="l00686" name="l00686"></a><span class="lineno">  686</span>        value &gt;&gt;= 4;</div>
-<div class="line"><a id="l00687" name="l00687"></a><span class="lineno">  687</span>    } <span class="keywordflow">else</span> {</div>
-<div class="line"><a id="l00688" name="l00688"></a><span class="lineno">  688</span>      value &amp;= hll_constants::loNibbleMask;</div>
-<div class="line"><a id="l00689" name="l00689"></a><span class="lineno">  689</span>    }</div>
-<div class="line"><a id="l00690" name="l00690"></a><span class="lineno">  690</span>    <span class="keywordflow">if</span> (value == hll_constants::AUX_TOKEN) { <span class="comment">// exception</span></div>
-<div class="line"><a id="l00691" name="l00691"></a><span class="lineno">  691</span>      <span class="keywordflow">return</span> exceptions-&gt;mustFindValueFor(index);</div>
-<div class="line"><a id="l00692" name="l00692"></a><span class="lineno">  692</span>    }</div>
-<div class="line"><a id="l00693" name="l00693"></a><span class="lineno">  693</span>    <span class="keywordflow">return</span> value + offset;</div>
-<div class="line"><a id="l00694" name="l00694"></a><span class="lineno">  694</span>  } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (hll_type == target_hll_type::HLL_6) {</div>
-<div class="line"><a id="l00695" name="l00695"></a><span class="lineno">  695</span>    <span class="keyword">const</span> <span class="keywordtype">size_t</span> start_bit = index * 6;</div>
-<div class="line"><a id="l00696" name="l00696"></a><span class="lineno">  696</span>    <span class="keyword">const</span> uint8_t shift = start_bit &amp; 0x7;</div>
-<div class="line"><a id="l00697" name="l00697"></a><span class="lineno">  697</span>    <span class="keyword">const</span> <span class="keywordtype">size_t</span> byte_idx = start_bit &gt;&gt; 3;</div>
-<div class="line"><a id="l00698" name="l00698"></a><span class="lineno">  698</span>    <span class="keyword">const</span> uint16_t two_byte_val = (array[byte_idx + 1] &lt;&lt; 8) | array[byte_idx];</div>
-<div class="line"><a id="l00699" name="l00699"></a><span class="lineno">  699</span>    <span class="keywordflow">return</span> (two_byte_val &gt;&gt; shift) &amp; hll_constants::VAL_MASK_6;</div>
-<div class="line"><a id="l00700" name="l00700"></a><span class="lineno">  700</span>  }</div>
-<div class="line"><a id="l00701" name="l00701"></a><span class="lineno">  701</span>  <span class="comment">// HLL_8</span></div>
-<div class="line"><a id="l00702" name="l00702"></a><span class="lineno">  702</span>  <span class="keywordflow">return</span> array[index];</div>
-<div class="line"><a id="l00703" name="l00703"></a><span class="lineno">  703</span>}</div>
-<div class="line"><a id="l00704" name="l00704"></a><span class="lineno">  704</span> </div>
-<div class="line"><a id="l00705" name="l00705"></a><span class="lineno">  705</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00706" name="l00706"></a><span class="lineno">  706</span>A HllArray&lt;A&gt;::getAllocator()<span class="keyword"> const </span>{</div>
-<div class="line"><a id="l00707" name="l00707"></a><span class="lineno">  707</span>  <span class="keywordflow">return</span> hllByteArr_.get_allocator();</div>
+<div class="line"><a id="l00637" name="l00637"></a><span class="lineno">  637</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00638" name="l00638"></a><span class="lineno">  638</span><span class="keyword">typename</span> HllArray&lt;A&gt;::const_iterator HllArray&lt;A&gt;::begin(<span class="keywordtype">bool</span> all)<span class="keyword"> const </span>{</div>
+<div class="line"><a id="l00639" name="l00639"></a><span class="lineno">  639</span>  <span class="keywordflow">return</span> const_iterator(hllByteArr_.data(), 1 &lt;&lt; this-&gt;lgConfigK_, 0, this-&gt;tgtHllType_, <span class="keyword">nullptr</span>, 0, all);</div>
+<div class="line"><a id="l00640" name="l00640"></a><span class="lineno">  640</span>}</div>
+<div class="line"><a id="l00641" name="l00641"></a><span class="lineno">  641</span> </div>
+<div class="line"><a id="l00642" name="l00642"></a><span class="lineno">  642</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00643" name="l00643"></a><span class="lineno">  643</span><span class="keyword">typename</span> HllArray&lt;A&gt;::const_iterator HllArray&lt;A&gt;::end()<span class="keyword"> const </span>{</div>
+<div class="line"><a id="l00644" name="l00644"></a><span class="lineno">  644</span>  <span class="keywordflow">return</span> const_iterator(hllByteArr_.data(), 1 &lt;&lt; this-&gt;lgConfigK_, 1 &lt;&lt; this-&gt;lgConfigK_, this-&gt;tgtHllType_, <span class="keyword">nullptr</span>, 0, <span class="keyword">false</span>);</div>
+<div class="line"><a id="l00645" name="l00645"></a><span class="lineno">  645</span>}</div>
+<div class="line"><a id="l00646" name="l00646"></a><span class="lineno">  646</span> </div>
+<div class="line"><a id="l00647" name="l00647"></a><span class="lineno">  647</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00648" name="l00648"></a><span class="lineno">  648</span>HllArray&lt;A&gt;::const_iterator::const_iterator(<span class="keyword">const</span> uint8_t* array, uint32_t array_size, uint32_t index, target_hll_type hll_type, <span class="keyword">const</span> AuxHashMap&lt;A&gt;* exceptions, uint8_t offset, <span class="keywordtype">bool</span> all):</div>
+<div class="line"><a id="l00649" name="l00649"></a><span class="lineno">  649</span>array_(array), array_size_(array_size), index_(index), hll_type_(hll_type), exceptions_(exceptions), offset_(offset), all_(all)</div>
+<div class="line"><a id="l00650" name="l00650"></a><span class="lineno">  650</span>{</div>
+<div class="line"><a id="l00651" name="l00651"></a><span class="lineno">  651</span>  <span class="keywordflow">while</span> (index_ &lt; array_size_) {</div>
+<div class="line"><a id="l00652" name="l00652"></a><span class="lineno">  652</span>    value_ = get_value(array_, index_, hll_type_, exceptions_, offset_);</div>
+<div class="line"><a id="l00653" name="l00653"></a><span class="lineno">  653</span>    <span class="keywordflow">if</span> (all_ || value_ != hll_constants::EMPTY) { <span class="keywordflow">break</span>; }</div>
+<div class="line"><a id="l00654" name="l00654"></a><span class="lineno">  654</span>    ++index_;</div>
+<div class="line"><a id="l00655" name="l00655"></a><span class="lineno">  655</span>  }</div>
+<div class="line"><a id="l00656" name="l00656"></a><span class="lineno">  656</span>}</div>
+<div class="line"><a id="l00657" name="l00657"></a><span class="lineno">  657</span> </div>
+<div class="line"><a id="l00658" name="l00658"></a><span class="lineno">  658</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00659" name="l00659"></a><span class="lineno">  659</span><span class="keyword">typename</span> HllArray&lt;A&gt;::const_iterator&amp; HllArray&lt;A&gt;::const_iterator::operator++() {</div>
+<div class="line"><a id="l00660" name="l00660"></a><span class="lineno">  660</span>  <span class="keywordflow">while</span> (++index_ &lt; array_size_) {</div>
+<div class="line"><a id="l00661" name="l00661"></a><span class="lineno">  661</span>    value_ = get_value(array_, index_, hll_type_, exceptions_, offset_);</div>
+<div class="line"><a id="l00662" name="l00662"></a><span class="lineno">  662</span>    <span class="keywordflow">if</span> (all_ || value_ != hll_constants::EMPTY) { <span class="keywordflow">break</span>; }</div>
+<div class="line"><a id="l00663" name="l00663"></a><span class="lineno">  663</span>  }</div>
+<div class="line"><a id="l00664" name="l00664"></a><span class="lineno">  664</span>  <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
+<div class="line"><a id="l00665" name="l00665"></a><span class="lineno">  665</span>}</div>
+<div class="line"><a id="l00666" name="l00666"></a><span class="lineno">  666</span> </div>
+<div class="line"><a id="l00667" name="l00667"></a><span class="lineno">  667</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00668" name="l00668"></a><span class="lineno">  668</span><span class="keywordtype">bool</span> HllArray&lt;A&gt;::const_iterator::operator!=(<span class="keyword">const</span> const_iterator&amp; other)<span class="keyword"> const </span>{</div>
+<div class="line"><a id="l00669" name="l00669"></a><span class="lineno">  669</span>  <span class="keywordflow">return</span> index_ != other.index_;</div>
+<div class="line"><a id="l00670" name="l00670"></a><span class="lineno">  670</span>}</div>
+<div class="line"><a id="l00671" name="l00671"></a><span class="lineno">  671</span> </div>
+<div class="line"><a id="l00672" name="l00672"></a><span class="lineno">  672</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00673" name="l00673"></a><span class="lineno">  673</span><span class="keyword">auto</span> HllArray&lt;A&gt;::const_iterator::operator*() const -&gt; reference {</div>
+<div class="line"><a id="l00674" name="l00674"></a><span class="lineno">  674</span>  <span class="keywordflow">return</span> HllUtil&lt;A&gt;::pair(index_, value_);</div>
+<div class="line"><a id="l00675" name="l00675"></a><span class="lineno">  675</span>}</div>
+<div class="line"><a id="l00676" name="l00676"></a><span class="lineno">  676</span> </div>
+<div class="line"><a id="l00677" name="l00677"></a><span class="lineno">  677</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00678" name="l00678"></a><span class="lineno">  678</span>uint8_t HllArray&lt;A&gt;::const_iterator::get_value(<span class="keyword">const</span> uint8_t* array, uint32_t index, target_hll_type hll_type, <span class="keyword">const</span> AuxHashMap&lt;A&gt;* exceptions, uint8_t offset) {</div>
+<div class="line"><a id="l00679" name="l00679"></a><span class="lineno">  679</span>  <span class="comment">// TODO: we should be able to improve efficiency here by reading multiple bytes at a time</span></div>
+<div class="line"><a id="l00680" name="l00680"></a><span class="lineno">  680</span>  <span class="comment">//       for HLL4 and HLL6</span></div>
+<div class="line"><a id="l00681" name="l00681"></a><span class="lineno">  681</span>  <span class="keywordflow">if</span> (hll_type == target_hll_type::HLL_4) {</div>
+<div class="line"><a id="l00682" name="l00682"></a><span class="lineno">  682</span>    uint8_t value = array[index &gt;&gt; 1];</div>
+<div class="line"><a id="l00683" name="l00683"></a><span class="lineno">  683</span>    <span class="keywordflow">if</span> ((index &amp; 1) &gt; 0) { <span class="comment">// odd</span></div>
+<div class="line"><a id="l00684" name="l00684"></a><span class="lineno">  684</span>        value &gt;&gt;= 4;</div>
+<div class="line"><a id="l00685" name="l00685"></a><span class="lineno">  685</span>    } <span class="keywordflow">else</span> {</div>
+<div class="line"><a id="l00686" name="l00686"></a><span class="lineno">  686</span>      value &amp;= hll_constants::loNibbleMask;</div>
+<div class="line"><a id="l00687" name="l00687"></a><span class="lineno">  687</span>    }</div>
+<div class="line"><a id="l00688" name="l00688"></a><span class="lineno">  688</span>    <span class="keywordflow">if</span> (value == hll_constants::AUX_TOKEN) { <span class="comment">// exception</span></div>
+<div class="line"><a id="l00689" name="l00689"></a><span class="lineno">  689</span>      <span class="keywordflow">return</span> exceptions-&gt;mustFindValueFor(index);</div>
+<div class="line"><a id="l00690" name="l00690"></a><span class="lineno">  690</span>    }</div>
+<div class="line"><a id="l00691" name="l00691"></a><span class="lineno">  691</span>    <span class="keywordflow">return</span> value + offset;</div>
+<div class="line"><a id="l00692" name="l00692"></a><span class="lineno">  692</span>  } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (hll_type == target_hll_type::HLL_6) {</div>
+<div class="line"><a id="l00693" name="l00693"></a><span class="lineno">  693</span>    <span class="keyword">const</span> <span class="keywordtype">size_t</span> start_bit = index * 6;</div>
+<div class="line"><a id="l00694" name="l00694"></a><span class="lineno">  694</span>    <span class="keyword">const</span> uint8_t shift = start_bit &amp; 0x7;</div>
+<div class="line"><a id="l00695" name="l00695"></a><span class="lineno">  695</span>    <span class="keyword">const</span> <span class="keywordtype">size_t</span> byte_idx = start_bit &gt;&gt; 3;</div>
+<div class="line"><a id="l00696" name="l00696"></a><span class="lineno">  696</span>    <span class="keyword">const</span> uint16_t two_byte_val = (array[byte_idx + 1] &lt;&lt; 8) | array[byte_idx];</div>
+<div class="line"><a id="l00697" name="l00697"></a><span class="lineno">  697</span>    <span class="keywordflow">return</span> (two_byte_val &gt;&gt; shift) &amp; hll_constants::VAL_MASK_6;</div>
+<div class="line"><a id="l00698" name="l00698"></a><span class="lineno">  698</span>  }</div>
+<div class="line"><a id="l00699" name="l00699"></a><span class="lineno">  699</span>  <span class="comment">// HLL_8</span></div>
+<div class="line"><a id="l00700" name="l00700"></a><span class="lineno">  700</span>  <span class="keywordflow">return</span> array[index];</div>
+<div class="line"><a id="l00701" name="l00701"></a><span class="lineno">  701</span>}</div>
+<div class="line"><a id="l00702" name="l00702"></a><span class="lineno">  702</span> </div>
+<div class="line"><a id="l00703" name="l00703"></a><span class="lineno">  703</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00704" name="l00704"></a><span class="lineno">  704</span>A HllArray&lt;A&gt;::getAllocator()<span class="keyword"> const </span>{</div>
+<div class="line"><a id="l00705" name="l00705"></a><span class="lineno">  705</span>  <span class="keywordflow">return</span> hllByteArr_.get_allocator();</div>
+<div class="line"><a id="l00706" name="l00706"></a><span class="lineno">  706</span>}</div>
+<div class="line"><a id="l00707" name="l00707"></a><span class="lineno">  707</span> </div>
 <div class="line"><a id="l00708" name="l00708"></a><span class="lineno">  708</span>}</div>
 <div class="line"><a id="l00709" name="l00709"></a><span class="lineno">  709</span> </div>
-<div class="line"><a id="l00710" name="l00710"></a><span class="lineno">  710</span>}</div>
-<div class="line"><a id="l00711" name="l00711"></a><span class="lineno">  711</span> </div>
-<div class="line"><a id="l00712" name="l00712"></a><span class="lineno">  712</span><span class="preprocessor">#endif </span><span class="comment">// _HLLARRAY_INTERNAL_HPP_</span></div>
+<div class="line"><a id="l00710" name="l00710"></a><span class="lineno">  710</span><span class="preprocessor">#endif </span><span class="comment">// _HLLARRAY_INTERNAL_HPP_</span></div>
 <div class="ttc" id="anamespacedatasketches_html"><div class="ttname"><a href="namespacedatasketches.html">datasketches</a></div><div class="ttdoc">DataSketches namespace.</div><div class="ttdef"><b>Definition</b> binomial_bounds.hpp:38</div></div>
 <div class="ttc" id="anamespacedatasketches_html_a76c1ad9235877691984d49415bb263e4"><div class="ttname"><a href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4">datasketches::target_hll_type</a></div><div class="ttdeci">target_hll_type</div><div class="ttdoc">Specifies the target type of HLL sketch to be created.</div><div class="ttdef"><b>Definition</b> hll.hpp:72</div></div>
 <div class="ttc" id="anamespacedatasketches_html_a76c1ad9235877691984d49415bb263e4a0a2179d612c2ce6887e96279f25d7a77"><div class="ttname"><a href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4a0a2179d612c2ce6887e96279f25d7a77">datasketches::HLL_6</a></div><div class="ttdeci">@ HLL_6</div><div class="ttdoc">6 bits per entry (fixed size)</div><div class="ttdef"><b>Definition</b> hll.hpp:74</div></div>
diff --git a/docs/master/HllArray_8hpp_source.html b/docs/master/HllArray_8hpp_source.html
index 0a6b65d..b291433 100644
--- a/docs/master/HllArray_8hpp_source.html
+++ b/docs/master/HllArray_8hpp_source.html
@@ -116,7 +116,7 @@ $(document).ready(function() { init_codefold(0); });
 <div class="line"><a id="l00033" name="l00033"></a><span class="lineno">   33</span>  <span class="keyword">public</span>:</div>
 <div class="line"><a id="l00034" name="l00034"></a><span class="lineno">   34</span>    <span class="keyword">using </span>vector_bytes = std::vector&lt;uint8_t, typename std::allocator_traits&lt;A&gt;::template rebind_alloc&lt;uint8_t&gt;&gt;;</div>
 <div class="line"><a id="l00035" name="l00035"></a><span class="lineno">   35</span> </div>
-<div class="line"><a id="l00036" name="l00036"></a><span class="lineno">   36</span>    HllArray(uint8_t lgConfigK, <a class="code hl_enumeration" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4">target_hll_type</a> tgtHllType, <span class="keywordtype">bool</span> startFullSize, <span class="keyword">const</span> A&amp; allocator);</div>
+<div class="line"><a id="l00036" name="l00036"></a><span class="lineno">   36</span>    HllArray(uint8_t lgConfigK, <a class="code hl_enumeration" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4">target_hll_type</a> tgtHllType, <span class="keyword">const</span> A&amp; allocator);</div>
 <div class="line"><a id="l00037" name="l00037"></a><span class="lineno">   37</span>    <span class="keyword">explicit</span> HllArray(<span class="keyword">const</span> HllArray&amp; other, <a class="code hl_enumeration" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4">target_hll_type</a> tgtHllType);</div>
 <div class="line"><a id="l00038" name="l00038"></a><span class="lineno">   38</span> </div>
 <div class="line"><a id="l00039" name="l00039"></a><span class="lineno">   39</span>    <span class="keyword">static</span> HllArray* newHll(<span class="keyword">const</span> <span class="keywordtype">void</span>* bytes, <span class="keywordtype">size_t</span> len, <span class="keyword">const</span> A&amp; allocator);</div>
diff --git a/docs/master/HllSketch-internal_8hpp_source.html b/docs/master/HllSketch-internal_8hpp_source.html
index 69ef84e..fc97d30 100644
--- a/docs/master/HllSketch-internal_8hpp_source.html
+++ b/docs/master/HllSketch-internal_8hpp_source.html
@@ -128,7 +128,7 @@ $(document).ready(function() { init_codefold(0); });
 <div class="line"><a id="l00045" name="l00045"></a><span class="lineno">   45</span>hll_sketch_alloc&lt;A&gt;::hll_sketch_alloc(uint8_t lg_config_k, <a class="code hl_enumeration" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4">target_hll_type</a> tgt_type, <span class="keywordtype">bool</span> start_full_size, <span class="keyword">const</span> A&amp; allocator) {</div>
 <div class="line"><a id="l00046" name="l00046"></a><span class="lineno">   46</span>  HllUtil&lt;A&gt;::checkLgK(lg_config_k);</div>
 <div class="line"><a id="l00047" name="l00047"></a><span class="lineno">   47</span>  <span class="keywordflow">if</span> (start_full_size) {</div>
-<div class="line"><a id="l00048" name="l00048"></a><span class="lineno">   48</span>    sketch_impl = HllSketchImplFactory&lt;A&gt;::newHll(lg_config_k, tgt_type, start_full_size, allocator);</div>
+<div class="line"><a id="l00048" name="l00048"></a><span class="lineno">   48</span>    sketch_impl = HllSketchImplFactory&lt;A&gt;::newHll(lg_config_k, tgt_type, allocator);</div>
 <div class="line"><a id="l00049" name="l00049"></a><span class="lineno">   49</span>  } <span class="keywordflow">else</span> {</div>
 <div class="line"><a id="l00050" name="l00050"></a><span class="lineno">   50</span>    <span class="keyword">typedef</span> <span class="keyword">typename</span> std::allocator_traits&lt;A&gt;::template rebind_alloc&lt;CouponList&lt;A&gt;&gt; clAlloc;</div>
 <div class="line"><a id="l00051" name="l00051"></a><span class="lineno">   51</span>    sketch_impl = <span class="keyword">new</span> (clAlloc(allocator).allocate(1)) CouponList&lt;A&gt;(lg_config_k, tgt_type, hll_mode::LIST, allocator);</div>
@@ -190,359 +190,357 @@ $(document).ready(function() { init_codefold(0); });
 <div class="line"><a id="l00107" name="l00107"></a><span class="lineno">  107</span>}</div>
 <div class="line"><a id="l00108" name="l00108"></a><span class="lineno">  108</span> </div>
 <div class="line"><a id="l00109" name="l00109"></a><span class="lineno">  109</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00110" name="l00110"></a><span class="lineno">  110</span><span class="keywordtype">void</span> hll_sketch_alloc&lt;A&gt;::reset() {</div>
-<div class="line"><a id="l00111" name="l00111"></a><span class="lineno">  111</span>  <span class="comment">// TODO: need to allow starting from a full-sized sketch</span></div>
-<div class="line"><a id="l00112" name="l00112"></a><span class="lineno">  112</span>  <span class="comment">//       (either here or in other implementation)</span></div>
-<div class="line"><a id="l00113" name="l00113"></a><span class="lineno">  113</span>  sketch_impl = sketch_impl-&gt;reset();</div>
-<div class="line"><a id="l00114" name="l00114"></a><span class="lineno">  114</span>}</div>
-<div class="line"><a id="l00115" name="l00115"></a><span class="lineno">  115</span> </div>
-<div class="line"><a id="l00116" name="l00116"></a><span class="lineno">  116</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00117" name="l00117"></a><span class="lineno">  117</span><span class="keywordtype">void</span> hll_sketch_alloc&lt;A&gt;::update(<span class="keyword">const</span> std::string&amp; datum) {</div>
-<div class="line"><a id="l00118" name="l00118"></a><span class="lineno">  118</span>  <span class="keywordflow">if</span> (datum.empty()) { <span class="keywordflow">return</span>; }</div>
-<div class="line"><a id="l00119" name="l00119"></a><span class="lineno">  119</span>  HashState hashResult;</div>
-<div class="line"><a id="l00120" name="l00120"></a><span class="lineno">  120</span>  HllUtil&lt;A&gt;::hash(datum.c_str(), datum.length(), DEFAULT_SEED, hashResult);</div>
-<div class="line"><a id="l00121" name="l00121"></a><span class="lineno">  121</span>  coupon_update(HllUtil&lt;A&gt;::coupon(hashResult));</div>
-<div class="line"><a id="l00122" name="l00122"></a><span class="lineno">  122</span>}</div>
-<div class="line"><a id="l00123" name="l00123"></a><span class="lineno">  123</span> </div>
-<div class="line"><a id="l00124" name="l00124"></a><span class="lineno">  124</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00125" name="l00125"></a><span class="lineno">  125</span><span class="keywordtype">void</span> hll_sketch_alloc&lt;A&gt;::update(uint64_t datum) {</div>
-<div class="line"><a id="l00126" name="l00126"></a><span class="lineno">  126</span>  <span class="comment">// no sign extension with 64 bits so no need to cast to signed value</span></div>
-<div class="line"><a id="l00127" name="l00127"></a><span class="lineno">  127</span>  HashState hashResult;</div>
-<div class="line"><a id="l00128" name="l00128"></a><span class="lineno">  128</span>  HllUtil&lt;A&gt;::hash(&amp;datum, <span class="keyword">sizeof</span>(uint64_t), DEFAULT_SEED, hashResult);</div>
-<div class="line"><a id="l00129" name="l00129"></a><span class="lineno">  129</span>  coupon_update(HllUtil&lt;A&gt;::coupon(hashResult));</div>
-<div class="line"><a id="l00130" name="l00130"></a><span class="lineno">  130</span>}</div>
-<div class="line"><a id="l00131" name="l00131"></a><span class="lineno">  131</span> </div>
-<div class="line"><a id="l00132" name="l00132"></a><span class="lineno">  132</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00133" name="l00133"></a><span class="lineno">  133</span><span class="keywordtype">void</span> hll_sketch_alloc&lt;A&gt;::update(uint32_t datum) {</div>
-<div class="line"><a id="l00134" name="l00134"></a><span class="lineno">  134</span>  update(<span class="keyword">static_cast&lt;</span>int32_t<span class="keyword">&gt;</span>(datum));</div>
-<div class="line"><a id="l00135" name="l00135"></a><span class="lineno">  135</span>}</div>
-<div class="line"><a id="l00136" name="l00136"></a><span class="lineno">  136</span> </div>
-<div class="line"><a id="l00137" name="l00137"></a><span class="lineno">  137</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00138" name="l00138"></a><span class="lineno">  138</span><span class="keywordtype">void</span> hll_sketch_alloc&lt;A&gt;::update(uint16_t datum) {</div>
-<div class="line"><a id="l00139" name="l00139"></a><span class="lineno">  139</span>  update(<span class="keyword">static_cast&lt;</span>int16_t<span class="keyword">&gt;</span>(datum));</div>
-<div class="line"><a id="l00140" name="l00140"></a><span class="lineno">  140</span>}</div>
-<div class="line"><a id="l00141" name="l00141"></a><span class="lineno">  141</span> </div>
-<div class="line"><a id="l00142" name="l00142"></a><span class="lineno">  142</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00143" name="l00143"></a><span class="lineno">  143</span><span class="keywordtype">void</span> hll_sketch_alloc&lt;A&gt;::update(uint8_t datum) {</div>
-<div class="line"><a id="l00144" name="l00144"></a><span class="lineno">  144</span>  update(<span class="keyword">static_cast&lt;</span>int8_t<span class="keyword">&gt;</span>(datum));</div>
-<div class="line"><a id="l00145" name="l00145"></a><span class="lineno">  145</span>}</div>
-<div class="line"><a id="l00146" name="l00146"></a><span class="lineno">  146</span> </div>
-<div class="line"><a id="l00147" name="l00147"></a><span class="lineno">  147</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00148" name="l00148"></a><span class="lineno">  148</span><span class="keywordtype">void</span> hll_sketch_alloc&lt;A&gt;::update(int64_t datum) {</div>
-<div class="line"><a id="l00149" name="l00149"></a><span class="lineno">  149</span>  HashState hashResult;</div>
-<div class="line"><a id="l00150" name="l00150"></a><span class="lineno">  150</span>  HllUtil&lt;A&gt;::hash(&amp;datum, <span class="keyword">sizeof</span>(int64_t), DEFAULT_SEED, hashResult);</div>
-<div class="line"><a id="l00151" name="l00151"></a><span class="lineno">  151</span>  coupon_update(HllUtil&lt;A&gt;::coupon(hashResult));</div>
-<div class="line"><a id="l00152" name="l00152"></a><span class="lineno">  152</span>}</div>
-<div class="line"><a id="l00153" name="l00153"></a><span class="lineno">  153</span> </div>
-<div class="line"><a id="l00154" name="l00154"></a><span class="lineno">  154</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00155" name="l00155"></a><span class="lineno">  155</span><span class="keywordtype">void</span> hll_sketch_alloc&lt;A&gt;::update(int32_t datum) {</div>
-<div class="line"><a id="l00156" name="l00156"></a><span class="lineno">  156</span>  <span class="keyword">const</span> int64_t val = <span class="keyword">static_cast&lt;</span>int64_t<span class="keyword">&gt;</span>(datum);</div>
-<div class="line"><a id="l00157" name="l00157"></a><span class="lineno">  157</span>  HashState hashResult;</div>
-<div class="line"><a id="l00158" name="l00158"></a><span class="lineno">  158</span>  HllUtil&lt;A&gt;::hash(&amp;val, <span class="keyword">sizeof</span>(int64_t), DEFAULT_SEED, hashResult);</div>
-<div class="line"><a id="l00159" name="l00159"></a><span class="lineno">  159</span>  coupon_update(HllUtil&lt;A&gt;::coupon(hashResult));</div>
-<div class="line"><a id="l00160" name="l00160"></a><span class="lineno">  160</span>}</div>
-<div class="line"><a id="l00161" name="l00161"></a><span class="lineno">  161</span> </div>
-<div class="line"><a id="l00162" name="l00162"></a><span class="lineno">  162</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00163" name="l00163"></a><span class="lineno">  163</span><span class="keywordtype">void</span> hll_sketch_alloc&lt;A&gt;::update(int16_t datum) {</div>
-<div class="line"><a id="l00164" name="l00164"></a><span class="lineno">  164</span>  <span class="keyword">const</span> int64_t val = <span class="keyword">static_cast&lt;</span>int64_t<span class="keyword">&gt;</span>(datum);</div>
-<div class="line"><a id="l00165" name="l00165"></a><span class="lineno">  165</span>  HashState hashResult;</div>
-<div class="line"><a id="l00166" name="l00166"></a><span class="lineno">  166</span>  HllUtil&lt;A&gt;::hash(&amp;val, <span class="keyword">sizeof</span>(int64_t), DEFAULT_SEED, hashResult);</div>
-<div class="line"><a id="l00167" name="l00167"></a><span class="lineno">  167</span>  coupon_update(HllUtil&lt;A&gt;::coupon(hashResult));</div>
-<div class="line"><a id="l00168" name="l00168"></a><span class="lineno">  168</span>}</div>
-<div class="line"><a id="l00169" name="l00169"></a><span class="lineno">  169</span> </div>
-<div class="line"><a id="l00170" name="l00170"></a><span class="lineno">  170</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00171" name="l00171"></a><span class="lineno">  171</span><span class="keywordtype">void</span> hll_sketch_alloc&lt;A&gt;::update(int8_t datum) {</div>
-<div class="line"><a id="l00172" name="l00172"></a><span class="lineno">  172</span>  <span class="keyword">const</span> int64_t val = <span class="keyword">static_cast&lt;</span>int64_t<span class="keyword">&gt;</span>(datum);</div>
-<div class="line"><a id="l00173" name="l00173"></a><span class="lineno">  173</span>  HashState hashResult;</div>
-<div class="line"><a id="l00174" name="l00174"></a><span class="lineno">  174</span>  HllUtil&lt;A&gt;::hash(&amp;val, <span class="keyword">sizeof</span>(int64_t), DEFAULT_SEED, hashResult);</div>
-<div class="line"><a id="l00175" name="l00175"></a><span class="lineno">  175</span>  coupon_update(HllUtil&lt;A&gt;::coupon(hashResult));</div>
-<div class="line"><a id="l00176" name="l00176"></a><span class="lineno">  176</span>}</div>
-<div class="line"><a id="l00177" name="l00177"></a><span class="lineno">  177</span> </div>
-<div class="line"><a id="l00178" name="l00178"></a><span class="lineno">  178</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00179" name="l00179"></a><span class="lineno">  179</span><span class="keywordtype">void</span> hll_sketch_alloc&lt;A&gt;::update(<span class="keywordtype">double</span> datum) {</div>
-<div class="line"><a id="l00180" name="l00180"></a><span class="lineno">  180</span>  longDoubleUnion d;</div>
-<div class="line"><a id="l00181" name="l00181"></a><span class="lineno">  181</span>  d.doubleBytes = <span class="keyword">static_cast&lt;</span><span class="keywordtype">double</span><span class="keyword">&gt;</span>(datum);</div>
-<div class="line"><a id="l00182" name="l00182"></a><span class="lineno">  182</span>  <span class="keywordflow">if</span> (datum == 0.0) {</div>
-<div class="line"><a id="l00183" name="l00183"></a><span class="lineno">  183</span>    d.doubleBytes = 0.0; <span class="comment">// canonicalize -0.0 to 0.0</span></div>
-<div class="line"><a id="l00184" name="l00184"></a><span class="lineno">  184</span>  } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (std::isnan(d.doubleBytes)) {</div>
-<div class="line"><a id="l00185" name="l00185"></a><span class="lineno">  185</span>    d.longBytes = 0x7ff8000000000000L; <span class="comment">// canonicalize NaN using value from Java&#39;s Double.doubleToLongBits()</span></div>
-<div class="line"><a id="l00186" name="l00186"></a><span class="lineno">  186</span>  }</div>
-<div class="line"><a id="l00187" name="l00187"></a><span class="lineno">  187</span>  HashState hashResult;</div>
-<div class="line"><a id="l00188" name="l00188"></a><span class="lineno">  188</span>  HllUtil&lt;A&gt;::hash(&amp;d, <span class="keyword">sizeof</span>(<span class="keywordtype">double</span>), DEFAULT_SEED, hashResult);</div>
-<div class="line"><a id="l00189" name="l00189"></a><span class="lineno">  189</span>  coupon_update(HllUtil&lt;A&gt;::coupon(hashResult));</div>
-<div class="line"><a id="l00190" name="l00190"></a><span class="lineno">  190</span>}</div>
-<div class="line"><a id="l00191" name="l00191"></a><span class="lineno">  191</span> </div>
-<div class="line"><a id="l00192" name="l00192"></a><span class="lineno">  192</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00193" name="l00193"></a><span class="lineno">  193</span><span class="keywordtype">void</span> hll_sketch_alloc&lt;A&gt;::update(<span class="keywordtype">float</span> datum) {</div>
-<div class="line"><a id="l00194" name="l00194"></a><span class="lineno">  194</span>  longDoubleUnion d;</div>
-<div class="line"><a id="l00195" name="l00195"></a><span class="lineno">  195</span>  d.doubleBytes = <span class="keyword">static_cast&lt;</span><span class="keywordtype">double</span><span class="keyword">&gt;</span>(datum);</div>
-<div class="line"><a id="l00196" name="l00196"></a><span class="lineno">  196</span>  <span class="keywordflow">if</span> (datum == 0.0) {</div>
-<div class="line"><a id="l00197" name="l00197"></a><span class="lineno">  197</span>    d.doubleBytes = 0.0; <span class="comment">// canonicalize -0.0 to 0.0</span></div>
-<div class="line"><a id="l00198" name="l00198"></a><span class="lineno">  198</span>  } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (std::isnan(d.doubleBytes)) {</div>
-<div class="line"><a id="l00199" name="l00199"></a><span class="lineno">  199</span>    d.longBytes = 0x7ff8000000000000L; <span class="comment">// canonicalize NaN using value from Java&#39;s Double.doubleToLongBits()</span></div>
-<div class="line"><a id="l00200" name="l00200"></a><span class="lineno">  200</span>  }</div>
-<div class="line"><a id="l00201" name="l00201"></a><span class="lineno">  201</span>  HashState hashResult;</div>
-<div class="line"><a id="l00202" name="l00202"></a><span class="lineno">  202</span>  HllUtil&lt;A&gt;::hash(&amp;d, <span class="keyword">sizeof</span>(<span class="keywordtype">double</span>), DEFAULT_SEED, hashResult);</div>
-<div class="line"><a id="l00203" name="l00203"></a><span class="lineno">  203</span>  coupon_update(HllUtil&lt;A&gt;::coupon(hashResult));</div>
-<div class="line"><a id="l00204" name="l00204"></a><span class="lineno">  204</span>}</div>
-<div class="line"><a id="l00205" name="l00205"></a><span class="lineno">  205</span> </div>
-<div class="line"><a id="l00206" name="l00206"></a><span class="lineno">  206</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00207" name="l00207"></a><span class="lineno">  207</span><span class="keywordtype">void</span> hll_sketch_alloc&lt;A&gt;::update(<span class="keyword">const</span> <span class="keywordtype">void</span>* data, <span class="keywordtype">size_t</span> lengthBytes) {</div>
-<div class="line"><a id="l00208" name="l00208"></a><span class="lineno">  208</span>  <span class="keywordflow">if</span> (data == <span class="keyword">nullptr</span>) { <span class="keywordflow">return</span>; }</div>
-<div class="line"><a id="l00209" name="l00209"></a><span class="lineno">  209</span>  HashState hashResult;</div>
-<div class="line"><a id="l00210" name="l00210"></a><span class="lineno">  210</span>  HllUtil&lt;A&gt;::hash(data, lengthBytes, DEFAULT_SEED, hashResult);</div>
-<div class="line"><a id="l00211" name="l00211"></a><span class="lineno">  211</span>  coupon_update(HllUtil&lt;A&gt;::coupon(hashResult));</div>
-<div class="line"><a id="l00212" name="l00212"></a><span class="lineno">  212</span>}</div>
-<div class="line"><a id="l00213" name="l00213"></a><span class="lineno">  213</span> </div>
-<div class="line"><a id="l00214" name="l00214"></a><span class="lineno">  214</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00215" name="l00215"></a><span class="lineno">  215</span><span class="keywordtype">void</span> hll_sketch_alloc&lt;A&gt;::coupon_update(uint32_t coupon) {</div>
-<div class="line"><a id="l00216" name="l00216"></a><span class="lineno">  216</span>  <span class="keywordflow">if</span> (coupon == hll_constants::EMPTY) { <span class="keywordflow">return</span>; }</div>
-<div class="line"><a id="l00217" name="l00217"></a><span class="lineno">  217</span>  HllSketchImpl&lt;A&gt;* result = this-&gt;sketch_impl-&gt;couponUpdate(coupon);</div>
-<div class="line"><a id="l00218" name="l00218"></a><span class="lineno">  218</span>  <span class="keywordflow">if</span> (result != this-&gt;sketch_impl) {</div>
-<div class="line"><a id="l00219" name="l00219"></a><span class="lineno">  219</span>    this-&gt;sketch_impl-&gt;get_deleter()(this-&gt;sketch_impl);</div>
-<div class="line"><a id="l00220" name="l00220"></a><span class="lineno">  220</span>    this-&gt;sketch_impl = result;</div>
-<div class="line"><a id="l00221" name="l00221"></a><span class="lineno">  221</span>  }</div>
-<div class="line"><a id="l00222" name="l00222"></a><span class="lineno">  222</span>}</div>
-<div class="line"><a id="l00223" name="l00223"></a><span class="lineno">  223</span> </div>
-<div class="line"><a id="l00224" name="l00224"></a><span class="lineno">  224</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00225" name="l00225"></a><span class="lineno">  225</span><span class="keywordtype">void</span> hll_sketch_alloc&lt;A&gt;::serialize_compact(std::ostream&amp; os)<span class="keyword"> const </span>{</div>
-<div class="line"><a id="l00226" name="l00226"></a><span class="lineno">  226</span>  <span class="keywordflow">return</span> sketch_impl-&gt;serialize(os, <span class="keyword">true</span>);</div>
-<div class="line"><a id="l00227" name="l00227"></a><span class="lineno">  227</span>}</div>
-<div class="line"><a id="l00228" name="l00228"></a><span class="lineno">  228</span> </div>
-<div class="line"><a id="l00229" name="l00229"></a><span class="lineno">  229</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00230" name="l00230"></a><span class="lineno">  230</span><span class="keywordtype">void</span> hll_sketch_alloc&lt;A&gt;::serialize_updatable(std::ostream&amp; os)<span class="keyword"> const </span>{</div>
-<div class="line"><a id="l00231" name="l00231"></a><span class="lineno">  231</span>  <span class="keywordflow">return</span> sketch_impl-&gt;serialize(os, <span class="keyword">false</span>);</div>
-<div class="line"><a id="l00232" name="l00232"></a><span class="lineno">  232</span>}</div>
-<div class="line"><a id="l00233" name="l00233"></a><span class="lineno">  233</span> </div>
-<div class="line"><a id="l00234" name="l00234"></a><span class="lineno">  234</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00235" name="l00235"></a><span class="lineno">  235</span><span class="keyword">auto</span> hll_sketch_alloc&lt;A&gt;::serialize_compact(<span class="keywordtype">unsigned</span> header_size_bytes) <span class="keyword">const</span> -&gt; vector_bytes {</div>
-<div class="line"><a id="l00236" name="l00236"></a><span class="lineno">  236</span>  <span class="keywordflow">return</span> sketch_impl-&gt;serialize(<span class="keyword">true</span>, header_size_bytes);</div>
-<div class="line"><a id="l00237" name="l00237"></a><span class="lineno">  237</span>}</div>
-<div class="line"><a id="l00238" name="l00238"></a><span class="lineno">  238</span> </div>
-<div class="line"><a id="l00239" name="l00239"></a><span class="lineno">  239</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00240" name="l00240"></a><span class="lineno">  240</span><span class="keyword">auto</span> hll_sketch_alloc&lt;A&gt;::serialize_updatable() const -&gt; vector_bytes {</div>
-<div class="line"><a id="l00241" name="l00241"></a><span class="lineno">  241</span>  <span class="keywordflow">return</span> sketch_impl-&gt;serialize(<span class="keyword">false</span>, 0);</div>
-<div class="line"><a id="l00242" name="l00242"></a><span class="lineno">  242</span>}</div>
-<div class="line"><a id="l00243" name="l00243"></a><span class="lineno">  243</span> </div>
-<div class="line"><a id="l00244" name="l00244"></a><span class="lineno">  244</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00245" name="l00245"></a><span class="lineno">  245</span>string&lt;A&gt; hll_sketch_alloc&lt;A&gt;::to_string(<span class="keyword">const</span> <span class="keywordtype">bool</span> summary,</div>
-<div class="line"><a id="l00246" name="l00246"></a><span class="lineno">  246</span>                                         <span class="keyword">const</span> <span class="keywordtype">bool</span> detail,</div>
-<div class="line"><a id="l00247" name="l00247"></a><span class="lineno">  247</span>                                         <span class="keyword">const</span> <span class="keywordtype">bool</span> aux_detail,</div>
-<div class="line"><a id="l00248" name="l00248"></a><span class="lineno">  248</span>                                         <span class="keyword">const</span> <span class="keywordtype">bool</span> all)<span class="keyword"> const </span>{</div>
-<div class="line"><a id="l00249" name="l00249"></a><span class="lineno">  249</span>  <span class="comment">// Using a temporary stream for implementation here does not comply with AllocatorAwareContainer requirements.</span></div>
-<div class="line"><a id="l00250" name="l00250"></a><span class="lineno">  250</span>  <span class="comment">// The stream does not support passing an allocator instance, and alternatives are complicated.</span></div>
-<div class="line"><a id="l00251" name="l00251"></a><span class="lineno">  251</span>  std::stringstream os;</div>
-<div class="line"><a id="l00252" name="l00252"></a><span class="lineno">  252</span>  <span class="keywordflow">if</span> (summary) {</div>
-<div class="line"><a id="l00253" name="l00253"></a><span class="lineno">  253</span>    os &lt;&lt; <span class="stringliteral">&quot;### HLL sketch summary:&quot;</span> &lt;&lt; std::endl</div>
-<div class="line"><a id="l00254" name="l00254"></a><span class="lineno">  254</span>       &lt;&lt; <span class="stringliteral">&quot;  Log Config K   : &quot;</span> &lt;&lt; std::to_string(get_lg_config_k()) &lt;&lt; std::endl</div>
-<div class="line"><a id="l00255" name="l00255"></a><span class="lineno">  255</span>       &lt;&lt; <span class="stringliteral">&quot;  Hll Target     : &quot;</span> &lt;&lt; type_as_string() &lt;&lt; std::endl</div>
-<div class="line"><a id="l00256" name="l00256"></a><span class="lineno">  256</span>       &lt;&lt; <span class="stringliteral">&quot;  Current Mode   : &quot;</span> &lt;&lt; mode_as_string() &lt;&lt; std::endl</div>
-<div class="line"><a id="l00257" name="l00257"></a><span class="lineno">  257</span>       &lt;&lt; <span class="stringliteral">&quot;  LB             : &quot;</span> &lt;&lt; get_lower_bound(1) &lt;&lt; std::endl</div>
-<div class="line"><a id="l00258" name="l00258"></a><span class="lineno">  258</span>       &lt;&lt; <span class="stringliteral">&quot;  Estimate       : &quot;</span> &lt;&lt; get_estimate() &lt;&lt; std::endl</div>
-<div class="line"><a id="l00259" name="l00259"></a><span class="lineno">  259</span>       &lt;&lt; <span class="stringliteral">&quot;  UB             : &quot;</span> &lt;&lt; get_upper_bound(1) &lt;&lt; std::endl</div>
-<div class="line"><a id="l00260" name="l00260"></a><span class="lineno">  260</span>       &lt;&lt; <span class="stringliteral">&quot;  OutOfOrder flag: &quot;</span> &lt;&lt; (is_out_of_order_flag() ? <span class="stringliteral">&quot;true&quot;</span> : <span class="stringliteral">&quot;false&quot;</span>) &lt;&lt; std::endl;</div>
-<div class="line"><a id="l00261" name="l00261"></a><span class="lineno">  261</span>    <span class="keywordflow">if</span> (get_current_mode() == HLL) {</div>
-<div class="line"><a id="l00262" name="l00262"></a><span class="lineno">  262</span>      HllArray&lt;A&gt;* hllArray = (HllArray&lt;A&gt;*) sketch_impl;</div>
-<div class="line"><a id="l00263" name="l00263"></a><span class="lineno">  263</span>      os &lt;&lt; <span class="stringliteral">&quot;  CurMin         : &quot;</span> &lt;&lt; std::to_string(hllArray-&gt;getCurMin()) &lt;&lt; std::endl</div>
-<div class="line"><a id="l00264" name="l00264"></a><span class="lineno">  264</span>         &lt;&lt; <span class="stringliteral">&quot;  NumAtCurMin    : &quot;</span> &lt;&lt; hllArray-&gt;getNumAtCurMin() &lt;&lt; std::endl</div>
-<div class="line"><a id="l00265" name="l00265"></a><span class="lineno">  265</span>         &lt;&lt; <span class="stringliteral">&quot;  HipAccum       : &quot;</span> &lt;&lt; hllArray-&gt;getHipAccum() &lt;&lt; std::endl</div>
-<div class="line"><a id="l00266" name="l00266"></a><span class="lineno">  266</span>         &lt;&lt; <span class="stringliteral">&quot;  KxQ0           : &quot;</span> &lt;&lt; hllArray-&gt;getKxQ0() &lt;&lt; std::endl</div>
-<div class="line"><a id="l00267" name="l00267"></a><span class="lineno">  267</span>         &lt;&lt; <span class="stringliteral">&quot;  KxQ1           : &quot;</span> &lt;&lt; hllArray-&gt;getKxQ1() &lt;&lt; std::endl;</div>
-<div class="line"><a id="l00268" name="l00268"></a><span class="lineno">  268</span>      <span class="keywordflow">if</span> (get_target_type() == HLL_4) {</div>
-<div class="line"><a id="l00269" name="l00269"></a><span class="lineno">  269</span>        <span class="keyword">const</span> Hll4Array&lt;A&gt;* hll4_ptr = <span class="keyword">static_cast&lt;</span><span class="keyword">const </span>Hll4Array&lt;A&gt;*<span class="keyword">&gt;</span>(sketch_impl);</div>
-<div class="line"><a id="l00270" name="l00270"></a><span class="lineno">  270</span>        os &lt;&lt; <span class="stringliteral">&quot;  Aux table?     : &quot;</span> &lt;&lt; (hll4_ptr-&gt;getAuxHashMap() != <span class="keyword">nullptr</span> ? <span class="stringliteral">&quot;true&quot;</span> : <span class="stringliteral">&quot;false&quot;</span>) &lt;&lt; std::endl;</div>
-<div class="line"><a id="l00271" name="l00271"></a><span class="lineno">  271</span>      }</div>
-<div class="line"><a id="l00272" name="l00272"></a><span class="lineno">  272</span>    } <span class="keywordflow">else</span> {</div>
-<div class="line"><a id="l00273" name="l00273"></a><span class="lineno">  273</span>      os &lt;&lt; <span class="stringliteral">&quot;  Coupon count   : &quot;</span></div>
-<div class="line"><a id="l00274" name="l00274"></a><span class="lineno">  274</span>         &lt;&lt; std::to_string(((CouponList&lt;A&gt;*) sketch_impl)-&gt;getCouponCount()) &lt;&lt; std::endl;</div>
-<div class="line"><a id="l00275" name="l00275"></a><span class="lineno">  275</span>    }</div>
-<div class="line"><a id="l00276" name="l00276"></a><span class="lineno">  276</span>    os &lt;&lt; <span class="stringliteral">&quot;### End HLL sketch summary&quot;</span> &lt;&lt; std::endl;</div>
-<div class="line"><a id="l00277" name="l00277"></a><span class="lineno">  277</span>  }</div>
-<div class="line"><a id="l00278" name="l00278"></a><span class="lineno">  278</span> </div>
-<div class="line"><a id="l00279" name="l00279"></a><span class="lineno">  279</span>  <span class="keywordflow">if</span> (detail) {</div>
-<div class="line"><a id="l00280" name="l00280"></a><span class="lineno">  280</span>    os &lt;&lt; <span class="stringliteral">&quot;### HLL sketch data detail:&quot;</span> &lt;&lt; std::endl;</div>
-<div class="line"><a id="l00281" name="l00281"></a><span class="lineno">  281</span>    <span class="keywordflow">if</span> (get_current_mode() == HLL) {</div>
-<div class="line"><a id="l00282" name="l00282"></a><span class="lineno">  282</span>      <span class="keyword">const</span> HllArray&lt;A&gt;* hll_ptr = <span class="keyword">static_cast&lt;</span><span class="keyword">const </span>HllArray&lt;A&gt;*<span class="keyword">&gt;</span>(sketch_impl);</div>
-<div class="line"><a id="l00283" name="l00283"></a><span class="lineno">  283</span>      os &lt;&lt; std::left &lt;&lt; std::setw(10) &lt;&lt; <span class="stringliteral">&quot;Slot&quot;</span> &lt;&lt; std::setw(6) &lt;&lt; <span class="stringliteral">&quot;Value&quot;</span> &lt;&lt; std::endl;</div>
-<div class="line"><a id="l00284" name="l00284"></a><span class="lineno">  284</span>      <span class="keyword">auto</span> it = hll_ptr-&gt;begin(all);</div>
-<div class="line"><a id="l00285" name="l00285"></a><span class="lineno">  285</span>      <span class="keywordflow">while</span> (it != hll_ptr-&gt;end()) {</div>
-<div class="line"><a id="l00286" name="l00286"></a><span class="lineno">  286</span>        os &lt;&lt; std::setw(10) &lt;&lt; HllUtil&lt;A&gt;::getLow26(*it);</div>
-<div class="line"><a id="l00287" name="l00287"></a><span class="lineno">  287</span>        os &lt;&lt; std::setw(6) &lt;&lt; HllUtil&lt;A&gt;::getValue(*it);</div>
-<div class="line"><a id="l00288" name="l00288"></a><span class="lineno">  288</span>        os &lt;&lt; std::endl;</div>
-<div class="line"><a id="l00289" name="l00289"></a><span class="lineno">  289</span>        ++it;</div>
-<div class="line"><a id="l00290" name="l00290"></a><span class="lineno">  290</span>      }</div>
-<div class="line"><a id="l00291" name="l00291"></a><span class="lineno">  291</span>    } <span class="keywordflow">else</span> {</div>
-<div class="line"><a id="l00292" name="l00292"></a><span class="lineno">  292</span>      <span class="keyword">const</span> CouponList&lt;A&gt;* list_ptr = <span class="keyword">static_cast&lt;</span><span class="keyword">const </span>CouponList&lt;A&gt;*<span class="keyword">&gt;</span>(sketch_impl);</div>
-<div class="line"><a id="l00293" name="l00293"></a><span class="lineno">  293</span>      os &lt;&lt; std::left;</div>
-<div class="line"><a id="l00294" name="l00294"></a><span class="lineno">  294</span>      os &lt;&lt; std::setw(10) &lt;&lt; <span class="stringliteral">&quot;Index&quot;</span>;</div>
-<div class="line"><a id="l00295" name="l00295"></a><span class="lineno">  295</span>      os &lt;&lt; std::setw(10) &lt;&lt; <span class="stringliteral">&quot;Key&quot;</span>;</div>
-<div class="line"><a id="l00296" name="l00296"></a><span class="lineno">  296</span>      os &lt;&lt; std::setw(10) &lt;&lt; <span class="stringliteral">&quot;Slot&quot;</span>;</div>
-<div class="line"><a id="l00297" name="l00297"></a><span class="lineno">  297</span>      os &lt;&lt; std::setw(6) &lt;&lt; <span class="stringliteral">&quot;Value&quot;</span>;</div>
-<div class="line"><a id="l00298" name="l00298"></a><span class="lineno">  298</span>      os &lt;&lt; std::endl;</div>
-<div class="line"><a id="l00299" name="l00299"></a><span class="lineno">  299</span>      <span class="keyword">auto</span> it = list_ptr-&gt;begin(all);</div>
-<div class="line"><a id="l00300" name="l00300"></a><span class="lineno">  300</span>      <span class="keywordtype">int</span> i = 0;</div>
-<div class="line"><a id="l00301" name="l00301"></a><span class="lineno">  301</span>      <span class="keywordtype">int</span> mask = (1 &lt;&lt; get_lg_config_k()) - 1;</div>
-<div class="line"><a id="l00302" name="l00302"></a><span class="lineno">  302</span>      <span class="keywordflow">while</span> (it != list_ptr-&gt;end()) {</div>
-<div class="line"><a id="l00303" name="l00303"></a><span class="lineno">  303</span>        os &lt;&lt; std::setw(10) &lt;&lt; i;</div>
-<div class="line"><a id="l00304" name="l00304"></a><span class="lineno">  304</span>        os &lt;&lt; std::setw(10) &lt;&lt; HllUtil&lt;A&gt;::getLow26(*it);</div>
-<div class="line"><a id="l00305" name="l00305"></a><span class="lineno">  305</span>        os &lt;&lt; std::setw(10) &lt;&lt; (HllUtil&lt;A&gt;::getLow26(*it) &amp; mask);</div>
-<div class="line"><a id="l00306" name="l00306"></a><span class="lineno">  306</span>        os &lt;&lt; std::setw(6) &lt;&lt; HllUtil&lt;A&gt;::getValue(*it);</div>
-<div class="line"><a id="l00307" name="l00307"></a><span class="lineno">  307</span>        os &lt;&lt; std::endl;</div>
-<div class="line"><a id="l00308" name="l00308"></a><span class="lineno">  308</span>        ++it;</div>
-<div class="line"><a id="l00309" name="l00309"></a><span class="lineno">  309</span>        ++i;</div>
-<div class="line"><a id="l00310" name="l00310"></a><span class="lineno">  310</span>      }</div>
-<div class="line"><a id="l00311" name="l00311"></a><span class="lineno">  311</span>    }</div>
-<div class="line"><a id="l00312" name="l00312"></a><span class="lineno">  312</span>    os &lt;&lt; <span class="stringliteral">&quot;### End HLL sketch data detail&quot;</span> &lt;&lt; std::endl;</div>
-<div class="line"><a id="l00313" name="l00313"></a><span class="lineno">  313</span>  }</div>
-<div class="line"><a id="l00314" name="l00314"></a><span class="lineno">  314</span>  <span class="keywordflow">if</span> (aux_detail) {</div>
-<div class="line"><a id="l00315" name="l00315"></a><span class="lineno">  315</span>    <span class="keywordflow">if</span> ((get_current_mode() == HLL) &amp;&amp; (get_target_type() == HLL_4)) {</div>
-<div class="line"><a id="l00316" name="l00316"></a><span class="lineno">  316</span>      <span class="keyword">const</span> Hll4Array&lt;A&gt;* hll4_ptr = <span class="keyword">static_cast&lt;</span><span class="keyword">const </span>Hll4Array&lt;A&gt;*<span class="keyword">&gt;</span>(sketch_impl);</div>
-<div class="line"><a id="l00317" name="l00317"></a><span class="lineno">  317</span>      <span class="keyword">const</span> AuxHashMap&lt;A&gt;* aux_ptr = hll4_ptr-&gt;getAuxHashMap();</div>
-<div class="line"><a id="l00318" name="l00318"></a><span class="lineno">  318</span>      <span class="keywordflow">if</span> (aux_ptr != <span class="keyword">nullptr</span>) {</div>
-<div class="line"><a id="l00319" name="l00319"></a><span class="lineno">  319</span>        os &lt;&lt; <span class="stringliteral">&quot;### HLL sketch aux detail:&quot;</span> &lt;&lt; std::endl;</div>
-<div class="line"><a id="l00320" name="l00320"></a><span class="lineno">  320</span>        os &lt;&lt; std::left;</div>
-<div class="line"><a id="l00321" name="l00321"></a><span class="lineno">  321</span>        os &lt;&lt; std::setw(10) &lt;&lt; <span class="stringliteral">&quot;Index&quot;</span>;</div>
-<div class="line"><a id="l00322" name="l00322"></a><span class="lineno">  322</span>        os &lt;&lt; std::setw(10) &lt;&lt; <span class="stringliteral">&quot;Key&quot;</span>;</div>
-<div class="line"><a id="l00323" name="l00323"></a><span class="lineno">  323</span>        os &lt;&lt; std::setw(10) &lt;&lt; <span class="stringliteral">&quot;Slot&quot;</span>;</div>
-<div class="line"><a id="l00324" name="l00324"></a><span class="lineno">  324</span>        os &lt;&lt; std::setw(6) &lt;&lt; <span class="stringliteral">&quot;Value&quot;</span>;</div>
-<div class="line"><a id="l00325" name="l00325"></a><span class="lineno">  325</span>        os &lt;&lt; std::endl;</div>
-<div class="line"><a id="l00326" name="l00326"></a><span class="lineno">  326</span>        <span class="keyword">auto</span> it = aux_ptr-&gt;begin(all);</div>
-<div class="line"><a id="l00327" name="l00327"></a><span class="lineno">  327</span>        <span class="keywordtype">int</span> i = 0;</div>
-<div class="line"><a id="l00328" name="l00328"></a><span class="lineno">  328</span>        <span class="keywordtype">int</span> mask = (1 &lt;&lt; get_lg_config_k()) - 1;</div>
-<div class="line"><a id="l00329" name="l00329"></a><span class="lineno">  329</span>        <span class="keywordflow">while</span> (it != aux_ptr-&gt;end()) {</div>
-<div class="line"><a id="l00330" name="l00330"></a><span class="lineno">  330</span>          os &lt;&lt; std::setw(10) &lt;&lt; i;</div>
-<div class="line"><a id="l00331" name="l00331"></a><span class="lineno">  331</span>          os &lt;&lt; std::setw(10) &lt;&lt; HllUtil&lt;A&gt;::getLow26(*it);</div>
-<div class="line"><a id="l00332" name="l00332"></a><span class="lineno">  332</span>          os &lt;&lt; std::setw(10) &lt;&lt; (HllUtil&lt;A&gt;::getLow26(*it) &amp; mask);</div>
-<div class="line"><a id="l00333" name="l00333"></a><span class="lineno">  333</span>          os &lt;&lt; std::setw(6) &lt;&lt; HllUtil&lt;A&gt;::getValue(*it);</div>
-<div class="line"><a id="l00334" name="l00334"></a><span class="lineno">  334</span>          os &lt;&lt; std::endl;</div>
-<div class="line"><a id="l00335" name="l00335"></a><span class="lineno">  335</span>          ++it;</div>
-<div class="line"><a id="l00336" name="l00336"></a><span class="lineno">  336</span>          ++i;</div>
-<div class="line"><a id="l00337" name="l00337"></a><span class="lineno">  337</span>        }</div>
-<div class="line"><a id="l00338" name="l00338"></a><span class="lineno">  338</span>        os &lt;&lt; <span class="stringliteral">&quot;### End HLL sketch aux detail&quot;</span> &lt;&lt; std::endl;</div>
-<div class="line"><a id="l00339" name="l00339"></a><span class="lineno">  339</span>      }</div>
-<div class="line"><a id="l00340" name="l00340"></a><span class="lineno">  340</span>    }</div>
-<div class="line"><a id="l00341" name="l00341"></a><span class="lineno">  341</span>  }</div>
-<div class="line"><a id="l00342" name="l00342"></a><span class="lineno">  342</span> </div>
-<div class="line"><a id="l00343" name="l00343"></a><span class="lineno">  343</span>  <span class="keywordflow">return</span> string&lt;A&gt;(os.str().c_str(), sketch_impl-&gt;getAllocator());</div>
-<div class="line"><a id="l00344" name="l00344"></a><span class="lineno">  344</span>}</div>
-<div class="line"><a id="l00345" name="l00345"></a><span class="lineno">  345</span> </div>
-<div class="line"><a id="l00346" name="l00346"></a><span class="lineno">  346</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00347" name="l00347"></a><span class="lineno">  347</span><span class="keywordtype">double</span> hll_sketch_alloc&lt;A&gt;::get_estimate()<span class="keyword"> const </span>{</div>
-<div class="line"><a id="l00348" name="l00348"></a><span class="lineno">  348</span>  <span class="keywordflow">return</span> sketch_impl-&gt;getEstimate();</div>
-<div class="line"><a id="l00349" name="l00349"></a><span class="lineno">  349</span>}</div>
-<div class="line"><a id="l00350" name="l00350"></a><span class="lineno">  350</span> </div>
-<div class="line"><a id="l00351" name="l00351"></a><span class="lineno">  351</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00352" name="l00352"></a><span class="lineno">  352</span><span class="keywordtype">double</span> hll_sketch_alloc&lt;A&gt;::get_composite_estimate()<span class="keyword"> const </span>{</div>
-<div class="line"><a id="l00353" name="l00353"></a><span class="lineno">  353</span>  <span class="keywordflow">return</span> sketch_impl-&gt;getCompositeEstimate();</div>
-<div class="line"><a id="l00354" name="l00354"></a><span class="lineno">  354</span>}</div>
-<div class="line"><a id="l00355" name="l00355"></a><span class="lineno">  355</span> </div>
-<div class="line"><a id="l00356" name="l00356"></a><span class="lineno">  356</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00357" name="l00357"></a><span class="lineno">  357</span><span class="keywordtype">double</span> hll_sketch_alloc&lt;A&gt;::get_lower_bound(uint8_t numStdDev)<span class="keyword"> const </span>{</div>
-<div class="line"><a id="l00358" name="l00358"></a><span class="lineno">  358</span>  <span class="keywordflow">return</span> sketch_impl-&gt;getLowerBound(numStdDev);</div>
-<div class="line"><a id="l00359" name="l00359"></a><span class="lineno">  359</span>}</div>
-<div class="line"><a id="l00360" name="l00360"></a><span class="lineno">  360</span> </div>
-<div class="line"><a id="l00361" name="l00361"></a><span class="lineno">  361</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00362" name="l00362"></a><span class="lineno">  362</span><span class="keywordtype">double</span> hll_sketch_alloc&lt;A&gt;::get_upper_bound(uint8_t numStdDev)<span class="keyword"> const </span>{</div>
-<div class="line"><a id="l00363" name="l00363"></a><span class="lineno">  363</span>  <span class="keywordflow">return</span> sketch_impl-&gt;getUpperBound(numStdDev);</div>
-<div class="line"><a id="l00364" name="l00364"></a><span class="lineno">  364</span>}</div>
-<div class="line"><a id="l00365" name="l00365"></a><span class="lineno">  365</span> </div>
-<div class="line"><a id="l00366" name="l00366"></a><span class="lineno">  366</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00367" name="l00367"></a><span class="lineno">  367</span>hll_mode hll_sketch_alloc&lt;A&gt;::get_current_mode()<span class="keyword"> const </span>{</div>
-<div class="line"><a id="l00368" name="l00368"></a><span class="lineno">  368</span>  <span class="keywordflow">return</span> sketch_impl-&gt;getCurMode();</div>
-<div class="line"><a id="l00369" name="l00369"></a><span class="lineno">  369</span>}</div>
-<div class="line"><a id="l00370" name="l00370"></a><span class="lineno">  370</span> </div>
-<div class="line"><a id="l00371" name="l00371"></a><span class="lineno">  371</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00372" name="l00372"></a><span class="lineno">  372</span>uint8_t hll_sketch_alloc&lt;A&gt;::get_lg_config_k()<span class="keyword"> const </span>{</div>
-<div class="line"><a id="l00373" name="l00373"></a><span class="lineno">  373</span>  <span class="keywordflow">return</span> sketch_impl-&gt;getLgConfigK();</div>
-<div class="line"><a id="l00374" name="l00374"></a><span class="lineno">  374</span>}</div>
-<div class="line"><a id="l00375" name="l00375"></a><span class="lineno">  375</span> </div>
-<div class="line"><a id="l00376" name="l00376"></a><span class="lineno">  376</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00377" name="l00377"></a><span class="lineno">  377</span><a class="code hl_enumeration" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4">target_hll_type</a> hll_sketch_alloc&lt;A&gt;::get_target_type()<span class="keyword"> const </span>{</div>
-<div class="line"><a id="l00378" name="l00378"></a><span class="lineno">  378</span>  <span class="keywordflow">return</span> sketch_impl-&gt;getTgtHllType();</div>
-<div class="line"><a id="l00379" name="l00379"></a><span class="lineno">  379</span>}</div>
-<div class="line"><a id="l00380" name="l00380"></a><span class="lineno">  380</span> </div>
-<div class="line"><a id="l00381" name="l00381"></a><span class="lineno">  381</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00382" name="l00382"></a><span class="lineno">  382</span><span class="keywordtype">bool</span> hll_sketch_alloc&lt;A&gt;::is_out_of_order_flag()<span class="keyword"> const </span>{</div>
-<div class="line"><a id="l00383" name="l00383"></a><span class="lineno">  383</span>  <span class="keywordflow">return</span> sketch_impl-&gt;isOutOfOrderFlag();</div>
-<div class="line"><a id="l00384" name="l00384"></a><span class="lineno">  384</span>}</div>
-<div class="line"><a id="l00385" name="l00385"></a><span class="lineno">  385</span> </div>
-<div class="line"><a id="l00386" name="l00386"></a><span class="lineno">  386</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00387" name="l00387"></a><span class="lineno">  387</span><span class="keywordtype">bool</span> hll_sketch_alloc&lt;A&gt;::is_estimation_mode()<span class="keyword"> const </span>{</div>
-<div class="line"><a id="l00388" name="l00388"></a><span class="lineno">  388</span>  <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
-<div class="line"><a id="l00389" name="l00389"></a><span class="lineno">  389</span>}</div>
-<div class="line"><a id="l00390" name="l00390"></a><span class="lineno">  390</span> </div>
-<div class="line"><a id="l00391" name="l00391"></a><span class="lineno">  391</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00392" name="l00392"></a><span class="lineno">  392</span>uint32_t hll_sketch_alloc&lt;A&gt;::get_updatable_serialization_bytes()<span class="keyword"> const </span>{</div>
-<div class="line"><a id="l00393" name="l00393"></a><span class="lineno">  393</span>  <span class="keywordflow">return</span> sketch_impl-&gt;getUpdatableSerializationBytes();</div>
-<div class="line"><a id="l00394" name="l00394"></a><span class="lineno">  394</span>}</div>
-<div class="line"><a id="l00395" name="l00395"></a><span class="lineno">  395</span> </div>
-<div class="line"><a id="l00396" name="l00396"></a><span class="lineno">  396</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00397" name="l00397"></a><span class="lineno">  397</span>uint32_t hll_sketch_alloc&lt;A&gt;::get_compact_serialization_bytes()<span class="keyword"> const </span>{</div>
-<div class="line"><a id="l00398" name="l00398"></a><span class="lineno">  398</span>  <span class="keywordflow">return</span> sketch_impl-&gt;getCompactSerializationBytes();</div>
-<div class="line"><a id="l00399" name="l00399"></a><span class="lineno">  399</span>}</div>
-<div class="line"><a id="l00400" name="l00400"></a><span class="lineno">  400</span> </div>
-<div class="line"><a id="l00401" name="l00401"></a><span class="lineno">  401</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00402" name="l00402"></a><span class="lineno">  402</span><span class="keywordtype">bool</span> hll_sketch_alloc&lt;A&gt;::is_compact()<span class="keyword"> const </span>{</div>
-<div class="line"><a id="l00403" name="l00403"></a><span class="lineno">  403</span>  <span class="keywordflow">return</span> sketch_impl-&gt;isCompact();</div>
-<div class="line"><a id="l00404" name="l00404"></a><span class="lineno">  404</span>}</div>
-<div class="line"><a id="l00405" name="l00405"></a><span class="lineno">  405</span> </div>
-<div class="line"><a id="l00406" name="l00406"></a><span class="lineno">  406</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00407" name="l00407"></a><span class="lineno">  407</span><span class="keywordtype">bool</span> hll_sketch_alloc&lt;A&gt;::is_empty()<span class="keyword"> const </span>{</div>
-<div class="line"><a id="l00408" name="l00408"></a><span class="lineno">  408</span>  <span class="keywordflow">return</span> sketch_impl-&gt;isEmpty();</div>
-<div class="line"><a id="l00409" name="l00409"></a><span class="lineno">  409</span>}</div>
-<div class="line"><a id="l00410" name="l00410"></a><span class="lineno">  410</span> </div>
-<div class="line"><a id="l00411" name="l00411"></a><span class="lineno">  411</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00412" name="l00412"></a><span class="lineno">  412</span>std::string hll_sketch_alloc&lt;A&gt;::type_as_string()<span class="keyword"> const </span>{</div>
-<div class="line"><a id="l00413" name="l00413"></a><span class="lineno">  413</span>  <span class="keywordflow">switch</span> (sketch_impl-&gt;getTgtHllType()) {</div>
-<div class="line"><a id="l00414" name="l00414"></a><span class="lineno">  414</span>    <span class="keywordflow">case</span> target_hll_type::HLL_4:</div>
-<div class="line"><a id="l00415" name="l00415"></a><span class="lineno">  415</span>      <span class="keywordflow">return</span> std::string(<span class="stringliteral">&quot;HLL_4&quot;</span>);</div>
-<div class="line"><a id="l00416" name="l00416"></a><span class="lineno">  416</span>    <span class="keywordflow">case</span> target_hll_type::HLL_6:</div>
-<div class="line"><a id="l00417" name="l00417"></a><span class="lineno">  417</span>      <span class="keywordflow">return</span> std::string(<span class="stringliteral">&quot;HLL_6&quot;</span>);</div>
-<div class="line"><a id="l00418" name="l00418"></a><span class="lineno">  418</span>    <span class="keywordflow">case</span> target_hll_type::HLL_8:</div>
-<div class="line"><a id="l00419" name="l00419"></a><span class="lineno">  419</span>      <span class="keywordflow">return</span> std::string(<span class="stringliteral">&quot;HLL_8&quot;</span>);</div>
-<div class="line"><a id="l00420" name="l00420"></a><span class="lineno">  420</span>    <span class="keywordflow">default</span>:</div>
-<div class="line"><a id="l00421" name="l00421"></a><span class="lineno">  421</span>      <span class="keywordflow">throw</span> std::runtime_error(<span class="stringliteral">&quot;Sketch state error: Invalid target_hll_type&quot;</span>);</div>
-<div class="line"><a id="l00422" name="l00422"></a><span class="lineno">  422</span>  }</div>
-<div class="line"><a id="l00423" name="l00423"></a><span class="lineno">  423</span>}</div>
-<div class="line"><a id="l00424" name="l00424"></a><span class="lineno">  424</span> </div>
-<div class="line"><a id="l00425" name="l00425"></a><span class="lineno">  425</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00426" name="l00426"></a><span class="lineno">  426</span>std::string hll_sketch_alloc&lt;A&gt;::mode_as_string()<span class="keyword"> const </span>{</div>
-<div class="line"><a id="l00427" name="l00427"></a><span class="lineno">  427</span>  <span class="keywordflow">switch</span> (sketch_impl-&gt;getCurMode()) {</div>
-<div class="line"><a id="l00428" name="l00428"></a><span class="lineno">  428</span>    <span class="keywordflow">case</span> LIST:</div>
-<div class="line"><a id="l00429" name="l00429"></a><span class="lineno">  429</span>      <span class="keywordflow">return</span> std::string(<span class="stringliteral">&quot;LIST&quot;</span>);</div>
-<div class="line"><a id="l00430" name="l00430"></a><span class="lineno">  430</span>    <span class="keywordflow">case</span> SET:</div>
-<div class="line"><a id="l00431" name="l00431"></a><span class="lineno">  431</span>      <span class="keywordflow">return</span> std::string(<span class="stringliteral">&quot;SET&quot;</span>);</div>
-<div class="line"><a id="l00432" name="l00432"></a><span class="lineno">  432</span>    <span class="keywordflow">case</span> HLL:</div>
-<div class="line"><a id="l00433" name="l00433"></a><span class="lineno">  433</span>      <span class="keywordflow">return</span> std::string(<span class="stringliteral">&quot;HLL&quot;</span>);</div>
-<div class="line"><a id="l00434" name="l00434"></a><span class="lineno">  434</span>    <span class="keywordflow">default</span>:</div>
-<div class="line"><a id="l00435" name="l00435"></a><span class="lineno">  435</span>      <span class="keywordflow">throw</span> std::runtime_error(<span class="stringliteral">&quot;Sketch state error: Invalid hll_mode&quot;</span>);</div>
-<div class="line"><a id="l00436" name="l00436"></a><span class="lineno">  436</span>  }</div>
-<div class="line"><a id="l00437" name="l00437"></a><span class="lineno">  437</span>}</div>
-<div class="line"><a id="l00438" name="l00438"></a><span class="lineno">  438</span> </div>
-<div class="line"><a id="l00439" name="l00439"></a><span class="lineno">  439</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00440" name="l00440"></a><span class="lineno">  440</span>uint32_t hll_sketch_alloc&lt;A&gt;::get_max_updatable_serialization_bytes(uint8_t lg_config_k,</div>
-<div class="line"><a id="l00441" name="l00441"></a><span class="lineno">  441</span>    <span class="keyword">const</span> target_hll_type tgtHllType) {</div>
-<div class="line"><a id="l00442" name="l00442"></a><span class="lineno">  442</span>  uint32_t arrBytes;</div>
-<div class="line"><a id="l00443" name="l00443"></a><span class="lineno">  443</span>  <span class="keywordflow">if</span> (tgtHllType == target_hll_type::HLL_4) {</div>
-<div class="line"><a id="l00444" name="l00444"></a><span class="lineno">  444</span>    <span class="keyword">const</span> uint32_t auxBytes = 4 &lt;&lt; hll_constants::LG_AUX_ARR_INTS[lg_config_k];</div>
-<div class="line"><a id="l00445" name="l00445"></a><span class="lineno">  445</span>    arrBytes = HllArray&lt;A&gt;::hll4ArrBytes(lg_config_k) + auxBytes;</div>
-<div class="line"><a id="l00446" name="l00446"></a><span class="lineno">  446</span>  } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (tgtHllType == target_hll_type::HLL_6) {</div>
-<div class="line"><a id="l00447" name="l00447"></a><span class="lineno">  447</span>    arrBytes = HllArray&lt;A&gt;::hll6ArrBytes(lg_config_k);</div>
-<div class="line"><a id="l00448" name="l00448"></a><span class="lineno">  448</span>  } <span class="keywordflow">else</span> { <span class="comment">//HLL_8</span></div>
-<div class="line"><a id="l00449" name="l00449"></a><span class="lineno">  449</span>    arrBytes = HllArray&lt;A&gt;::hll8ArrBytes(lg_config_k);</div>
-<div class="line"><a id="l00450" name="l00450"></a><span class="lineno">  450</span>  }</div>
-<div class="line"><a id="l00451" name="l00451"></a><span class="lineno">  451</span>  <span class="keywordflow">return</span> hll_constants::HLL_BYTE_ARR_START + arrBytes;</div>
-<div class="line"><a id="l00452" name="l00452"></a><span class="lineno">  452</span>}</div>
-<div class="line"><a id="l00453" name="l00453"></a><span class="lineno">  453</span> </div>
-<div class="line"><a id="l00454" name="l00454"></a><span class="lineno">  454</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00455" name="l00455"></a><span class="lineno">  455</span><span class="keywordtype">double</span> hll_sketch_alloc&lt;A&gt;::get_rel_err(<span class="keywordtype">bool</span> upperBound, <span class="keywordtype">bool</span> unioned,</div>
-<div class="line"><a id="l00456" name="l00456"></a><span class="lineno">  456</span>                           uint8_t lg_config_k, uint8_t numStdDev) {</div>
-<div class="line"><a id="l00457" name="l00457"></a><span class="lineno">  457</span>  <span class="keywordflow">return</span> HllUtil&lt;A&gt;::getRelErr(upperBound, unioned, lg_config_k, numStdDev);</div>
+<div class="line"><a id="l00110" name="l00110"></a><span class="lineno">  110</span><span class="keywordtype">void</span> hll_sketch_alloc&lt;A&gt;::reset(<span class="keywordtype">bool</span> full_size) {</div>
+<div class="line"><a id="l00111" name="l00111"></a><span class="lineno">  111</span>  sketch_impl = sketch_impl-&gt;reset(full_size);</div>
+<div class="line"><a id="l00112" name="l00112"></a><span class="lineno">  112</span>}</div>
+<div class="line"><a id="l00113" name="l00113"></a><span class="lineno">  113</span> </div>
+<div class="line"><a id="l00114" name="l00114"></a><span class="lineno">  114</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00115" name="l00115"></a><span class="lineno">  115</span><span class="keywordtype">void</span> hll_sketch_alloc&lt;A&gt;::update(<span class="keyword">const</span> std::string&amp; datum) {</div>
+<div class="line"><a id="l00116" name="l00116"></a><span class="lineno">  116</span>  <span class="keywordflow">if</span> (datum.empty()) { <span class="keywordflow">return</span>; }</div>
+<div class="line"><a id="l00117" name="l00117"></a><span class="lineno">  117</span>  HashState hashResult;</div>
+<div class="line"><a id="l00118" name="l00118"></a><span class="lineno">  118</span>  HllUtil&lt;A&gt;::hash(datum.c_str(), datum.length(), DEFAULT_SEED, hashResult);</div>
+<div class="line"><a id="l00119" name="l00119"></a><span class="lineno">  119</span>  coupon_update(HllUtil&lt;A&gt;::coupon(hashResult));</div>
+<div class="line"><a id="l00120" name="l00120"></a><span class="lineno">  120</span>}</div>
+<div class="line"><a id="l00121" name="l00121"></a><span class="lineno">  121</span> </div>
+<div class="line"><a id="l00122" name="l00122"></a><span class="lineno">  122</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00123" name="l00123"></a><span class="lineno">  123</span><span class="keywordtype">void</span> hll_sketch_alloc&lt;A&gt;::update(uint64_t datum) {</div>
+<div class="line"><a id="l00124" name="l00124"></a><span class="lineno">  124</span>  <span class="comment">// no sign extension with 64 bits so no need to cast to signed value</span></div>
+<div class="line"><a id="l00125" name="l00125"></a><span class="lineno">  125</span>  HashState hashResult;</div>
+<div class="line"><a id="l00126" name="l00126"></a><span class="lineno">  126</span>  HllUtil&lt;A&gt;::hash(&amp;datum, <span class="keyword">sizeof</span>(uint64_t), DEFAULT_SEED, hashResult);</div>
+<div class="line"><a id="l00127" name="l00127"></a><span class="lineno">  127</span>  coupon_update(HllUtil&lt;A&gt;::coupon(hashResult));</div>
+<div class="line"><a id="l00128" name="l00128"></a><span class="lineno">  128</span>}</div>
+<div class="line"><a id="l00129" name="l00129"></a><span class="lineno">  129</span> </div>
+<div class="line"><a id="l00130" name="l00130"></a><span class="lineno">  130</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00131" name="l00131"></a><span class="lineno">  131</span><span class="keywordtype">void</span> hll_sketch_alloc&lt;A&gt;::update(uint32_t datum) {</div>
+<div class="line"><a id="l00132" name="l00132"></a><span class="lineno">  132</span>  update(<span class="keyword">static_cast&lt;</span>int32_t<span class="keyword">&gt;</span>(datum));</div>
+<div class="line"><a id="l00133" name="l00133"></a><span class="lineno">  133</span>}</div>
+<div class="line"><a id="l00134" name="l00134"></a><span class="lineno">  134</span> </div>
+<div class="line"><a id="l00135" name="l00135"></a><span class="lineno">  135</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00136" name="l00136"></a><span class="lineno">  136</span><span class="keywordtype">void</span> hll_sketch_alloc&lt;A&gt;::update(uint16_t datum) {</div>
+<div class="line"><a id="l00137" name="l00137"></a><span class="lineno">  137</span>  update(<span class="keyword">static_cast&lt;</span>int16_t<span class="keyword">&gt;</span>(datum));</div>
+<div class="line"><a id="l00138" name="l00138"></a><span class="lineno">  138</span>}</div>
+<div class="line"><a id="l00139" name="l00139"></a><span class="lineno">  139</span> </div>
+<div class="line"><a id="l00140" name="l00140"></a><span class="lineno">  140</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00141" name="l00141"></a><span class="lineno">  141</span><span class="keywordtype">void</span> hll_sketch_alloc&lt;A&gt;::update(uint8_t datum) {</div>
+<div class="line"><a id="l00142" name="l00142"></a><span class="lineno">  142</span>  update(<span class="keyword">static_cast&lt;</span>int8_t<span class="keyword">&gt;</span>(datum));</div>
+<div class="line"><a id="l00143" name="l00143"></a><span class="lineno">  143</span>}</div>
+<div class="line"><a id="l00144" name="l00144"></a><span class="lineno">  144</span> </div>
+<div class="line"><a id="l00145" name="l00145"></a><span class="lineno">  145</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00146" name="l00146"></a><span class="lineno">  146</span><span class="keywordtype">void</span> hll_sketch_alloc&lt;A&gt;::update(int64_t datum) {</div>
+<div class="line"><a id="l00147" name="l00147"></a><span class="lineno">  147</span>  HashState hashResult;</div>
+<div class="line"><a id="l00148" name="l00148"></a><span class="lineno">  148</span>  HllUtil&lt;A&gt;::hash(&amp;datum, <span class="keyword">sizeof</span>(int64_t), DEFAULT_SEED, hashResult);</div>
+<div class="line"><a id="l00149" name="l00149"></a><span class="lineno">  149</span>  coupon_update(HllUtil&lt;A&gt;::coupon(hashResult));</div>
+<div class="line"><a id="l00150" name="l00150"></a><span class="lineno">  150</span>}</div>
+<div class="line"><a id="l00151" name="l00151"></a><span class="lineno">  151</span> </div>
+<div class="line"><a id="l00152" name="l00152"></a><span class="lineno">  152</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00153" name="l00153"></a><span class="lineno">  153</span><span class="keywordtype">void</span> hll_sketch_alloc&lt;A&gt;::update(int32_t datum) {</div>
+<div class="line"><a id="l00154" name="l00154"></a><span class="lineno">  154</span>  <span class="keyword">const</span> int64_t val = <span class="keyword">static_cast&lt;</span>int64_t<span class="keyword">&gt;</span>(datum);</div>
+<div class="line"><a id="l00155" name="l00155"></a><span class="lineno">  155</span>  HashState hashResult;</div>
+<div class="line"><a id="l00156" name="l00156"></a><span class="lineno">  156</span>  HllUtil&lt;A&gt;::hash(&amp;val, <span class="keyword">sizeof</span>(int64_t), DEFAULT_SEED, hashResult);</div>
+<div class="line"><a id="l00157" name="l00157"></a><span class="lineno">  157</span>  coupon_update(HllUtil&lt;A&gt;::coupon(hashResult));</div>
+<div class="line"><a id="l00158" name="l00158"></a><span class="lineno">  158</span>}</div>
+<div class="line"><a id="l00159" name="l00159"></a><span class="lineno">  159</span> </div>
+<div class="line"><a id="l00160" name="l00160"></a><span class="lineno">  160</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00161" name="l00161"></a><span class="lineno">  161</span><span class="keywordtype">void</span> hll_sketch_alloc&lt;A&gt;::update(int16_t datum) {</div>
+<div class="line"><a id="l00162" name="l00162"></a><span class="lineno">  162</span>  <span class="keyword">const</span> int64_t val = <span class="keyword">static_cast&lt;</span>int64_t<span class="keyword">&gt;</span>(datum);</div>
+<div class="line"><a id="l00163" name="l00163"></a><span class="lineno">  163</span>  HashState hashResult;</div>
+<div class="line"><a id="l00164" name="l00164"></a><span class="lineno">  164</span>  HllUtil&lt;A&gt;::hash(&amp;val, <span class="keyword">sizeof</span>(int64_t), DEFAULT_SEED, hashResult);</div>
+<div class="line"><a id="l00165" name="l00165"></a><span class="lineno">  165</span>  coupon_update(HllUtil&lt;A&gt;::coupon(hashResult));</div>
+<div class="line"><a id="l00166" name="l00166"></a><span class="lineno">  166</span>}</div>
+<div class="line"><a id="l00167" name="l00167"></a><span class="lineno">  167</span> </div>
+<div class="line"><a id="l00168" name="l00168"></a><span class="lineno">  168</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00169" name="l00169"></a><span class="lineno">  169</span><span class="keywordtype">void</span> hll_sketch_alloc&lt;A&gt;::update(int8_t datum) {</div>
+<div class="line"><a id="l00170" name="l00170"></a><span class="lineno">  170</span>  <span class="keyword">const</span> int64_t val = <span class="keyword">static_cast&lt;</span>int64_t<span class="keyword">&gt;</span>(datum);</div>
+<div class="line"><a id="l00171" name="l00171"></a><span class="lineno">  171</span>  HashState hashResult;</div>
+<div class="line"><a id="l00172" name="l00172"></a><span class="lineno">  172</span>  HllUtil&lt;A&gt;::hash(&amp;val, <span class="keyword">sizeof</span>(int64_t), DEFAULT_SEED, hashResult);</div>
+<div class="line"><a id="l00173" name="l00173"></a><span class="lineno">  173</span>  coupon_update(HllUtil&lt;A&gt;::coupon(hashResult));</div>
+<div class="line"><a id="l00174" name="l00174"></a><span class="lineno">  174</span>}</div>
+<div class="line"><a id="l00175" name="l00175"></a><span class="lineno">  175</span> </div>
+<div class="line"><a id="l00176" name="l00176"></a><span class="lineno">  176</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00177" name="l00177"></a><span class="lineno">  177</span><span class="keywordtype">void</span> hll_sketch_alloc&lt;A&gt;::update(<span class="keywordtype">double</span> datum) {</div>
+<div class="line"><a id="l00178" name="l00178"></a><span class="lineno">  178</span>  longDoubleUnion d;</div>
+<div class="line"><a id="l00179" name="l00179"></a><span class="lineno">  179</span>  d.doubleBytes = <span class="keyword">static_cast&lt;</span><span class="keywordtype">double</span><span class="keyword">&gt;</span>(datum);</div>
+<div class="line"><a id="l00180" name="l00180"></a><span class="lineno">  180</span>  <span class="keywordflow">if</span> (datum == 0.0) {</div>
+<div class="line"><a id="l00181" name="l00181"></a><span class="lineno">  181</span>    d.doubleBytes = 0.0; <span class="comment">// canonicalize -0.0 to 0.0</span></div>
+<div class="line"><a id="l00182" name="l00182"></a><span class="lineno">  182</span>  } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (std::isnan(d.doubleBytes)) {</div>
+<div class="line"><a id="l00183" name="l00183"></a><span class="lineno">  183</span>    d.longBytes = 0x7ff8000000000000L; <span class="comment">// canonicalize NaN using value from Java&#39;s Double.doubleToLongBits()</span></div>
+<div class="line"><a id="l00184" name="l00184"></a><span class="lineno">  184</span>  }</div>
+<div class="line"><a id="l00185" name="l00185"></a><span class="lineno">  185</span>  HashState hashResult;</div>
+<div class="line"><a id="l00186" name="l00186"></a><span class="lineno">  186</span>  HllUtil&lt;A&gt;::hash(&amp;d, <span class="keyword">sizeof</span>(<span class="keywordtype">double</span>), DEFAULT_SEED, hashResult);</div>
+<div class="line"><a id="l00187" name="l00187"></a><span class="lineno">  187</span>  coupon_update(HllUtil&lt;A&gt;::coupon(hashResult));</div>
+<div class="line"><a id="l00188" name="l00188"></a><span class="lineno">  188</span>}</div>
+<div class="line"><a id="l00189" name="l00189"></a><span class="lineno">  189</span> </div>
+<div class="line"><a id="l00190" name="l00190"></a><span class="lineno">  190</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00191" name="l00191"></a><span class="lineno">  191</span><span class="keywordtype">void</span> hll_sketch_alloc&lt;A&gt;::update(<span class="keywordtype">float</span> datum) {</div>
+<div class="line"><a id="l00192" name="l00192"></a><span class="lineno">  192</span>  longDoubleUnion d;</div>
+<div class="line"><a id="l00193" name="l00193"></a><span class="lineno">  193</span>  d.doubleBytes = <span class="keyword">static_cast&lt;</span><span class="keywordtype">double</span><span class="keyword">&gt;</span>(datum);</div>
+<div class="line"><a id="l00194" name="l00194"></a><span class="lineno">  194</span>  <span class="keywordflow">if</span> (datum == 0.0) {</div>
+<div class="line"><a id="l00195" name="l00195"></a><span class="lineno">  195</span>    d.doubleBytes = 0.0; <span class="comment">// canonicalize -0.0 to 0.0</span></div>
+<div class="line"><a id="l00196" name="l00196"></a><span class="lineno">  196</span>  } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (std::isnan(d.doubleBytes)) {</div>
+<div class="line"><a id="l00197" name="l00197"></a><span class="lineno">  197</span>    d.longBytes = 0x7ff8000000000000L; <span class="comment">// canonicalize NaN using value from Java&#39;s Double.doubleToLongBits()</span></div>
+<div class="line"><a id="l00198" name="l00198"></a><span class="lineno">  198</span>  }</div>
+<div class="line"><a id="l00199" name="l00199"></a><span class="lineno">  199</span>  HashState hashResult;</div>
+<div class="line"><a id="l00200" name="l00200"></a><span class="lineno">  200</span>  HllUtil&lt;A&gt;::hash(&amp;d, <span class="keyword">sizeof</span>(<span class="keywordtype">double</span>), DEFAULT_SEED, hashResult);</div>
+<div class="line"><a id="l00201" name="l00201"></a><span class="lineno">  201</span>  coupon_update(HllUtil&lt;A&gt;::coupon(hashResult));</div>
+<div class="line"><a id="l00202" name="l00202"></a><span class="lineno">  202</span>}</div>
+<div class="line"><a id="l00203" name="l00203"></a><span class="lineno">  203</span> </div>
+<div class="line"><a id="l00204" name="l00204"></a><span class="lineno">  204</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00205" name="l00205"></a><span class="lineno">  205</span><span class="keywordtype">void</span> hll_sketch_alloc&lt;A&gt;::update(<span class="keyword">const</span> <span class="keywordtype">void</span>* data, <span class="keywordtype">size_t</span> lengthBytes) {</div>
+<div class="line"><a id="l00206" name="l00206"></a><span class="lineno">  206</span>  <span class="keywordflow">if</span> (data == <span class="keyword">nullptr</span>) { <span class="keywordflow">return</span>; }</div>
+<div class="line"><a id="l00207" name="l00207"></a><span class="lineno">  207</span>  HashState hashResult;</div>
+<div class="line"><a id="l00208" name="l00208"></a><span class="lineno">  208</span>  HllUtil&lt;A&gt;::hash(data, lengthBytes, DEFAULT_SEED, hashResult);</div>
+<div class="line"><a id="l00209" name="l00209"></a><span class="lineno">  209</span>  coupon_update(HllUtil&lt;A&gt;::coupon(hashResult));</div>
+<div class="line"><a id="l00210" name="l00210"></a><span class="lineno">  210</span>}</div>
+<div class="line"><a id="l00211" name="l00211"></a><span class="lineno">  211</span> </div>
+<div class="line"><a id="l00212" name="l00212"></a><span class="lineno">  212</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00213" name="l00213"></a><span class="lineno">  213</span><span class="keywordtype">void</span> hll_sketch_alloc&lt;A&gt;::coupon_update(uint32_t coupon) {</div>
+<div class="line"><a id="l00214" name="l00214"></a><span class="lineno">  214</span>  <span class="keywordflow">if</span> (coupon == hll_constants::EMPTY) { <span class="keywordflow">return</span>; }</div>
+<div class="line"><a id="l00215" name="l00215"></a><span class="lineno">  215</span>  HllSketchImpl&lt;A&gt;* result = this-&gt;sketch_impl-&gt;couponUpdate(coupon);</div>
+<div class="line"><a id="l00216" name="l00216"></a><span class="lineno">  216</span>  <span class="keywordflow">if</span> (result != this-&gt;sketch_impl) {</div>
+<div class="line"><a id="l00217" name="l00217"></a><span class="lineno">  217</span>    this-&gt;sketch_impl-&gt;get_deleter()(this-&gt;sketch_impl);</div>
+<div class="line"><a id="l00218" name="l00218"></a><span class="lineno">  218</span>    this-&gt;sketch_impl = result;</div>
+<div class="line"><a id="l00219" name="l00219"></a><span class="lineno">  219</span>  }</div>
+<div class="line"><a id="l00220" name="l00220"></a><span class="lineno">  220</span>}</div>
+<div class="line"><a id="l00221" name="l00221"></a><span class="lineno">  221</span> </div>
+<div class="line"><a id="l00222" name="l00222"></a><span class="lineno">  222</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00223" name="l00223"></a><span class="lineno">  223</span><span class="keywordtype">void</span> hll_sketch_alloc&lt;A&gt;::serialize_compact(std::ostream&amp; os)<span class="keyword"> const </span>{</div>
+<div class="line"><a id="l00224" name="l00224"></a><span class="lineno">  224</span>  <span class="keywordflow">return</span> sketch_impl-&gt;serialize(os, <span class="keyword">true</span>);</div>
+<div class="line"><a id="l00225" name="l00225"></a><span class="lineno">  225</span>}</div>
+<div class="line"><a id="l00226" name="l00226"></a><span class="lineno">  226</span> </div>
+<div class="line"><a id="l00227" name="l00227"></a><span class="lineno">  227</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00228" name="l00228"></a><span class="lineno">  228</span><span class="keywordtype">void</span> hll_sketch_alloc&lt;A&gt;::serialize_updatable(std::ostream&amp; os)<span class="keyword"> const </span>{</div>
+<div class="line"><a id="l00229" name="l00229"></a><span class="lineno">  229</span>  <span class="keywordflow">return</span> sketch_impl-&gt;serialize(os, <span class="keyword">false</span>);</div>
+<div class="line"><a id="l00230" name="l00230"></a><span class="lineno">  230</span>}</div>
+<div class="line"><a id="l00231" name="l00231"></a><span class="lineno">  231</span> </div>
+<div class="line"><a id="l00232" name="l00232"></a><span class="lineno">  232</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00233" name="l00233"></a><span class="lineno">  233</span><span class="keyword">auto</span> hll_sketch_alloc&lt;A&gt;::serialize_compact(<span class="keywordtype">unsigned</span> header_size_bytes) <span class="keyword">const</span> -&gt; vector_bytes {</div>
+<div class="line"><a id="l00234" name="l00234"></a><span class="lineno">  234</span>  <span class="keywordflow">return</span> sketch_impl-&gt;serialize(<span class="keyword">true</span>, header_size_bytes);</div>
+<div class="line"><a id="l00235" name="l00235"></a><span class="lineno">  235</span>}</div>
+<div class="line"><a id="l00236" name="l00236"></a><span class="lineno">  236</span> </div>
+<div class="line"><a id="l00237" name="l00237"></a><span class="lineno">  237</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00238" name="l00238"></a><span class="lineno">  238</span><span class="keyword">auto</span> hll_sketch_alloc&lt;A&gt;::serialize_updatable() const -&gt; vector_bytes {</div>
+<div class="line"><a id="l00239" name="l00239"></a><span class="lineno">  239</span>  <span class="keywordflow">return</span> sketch_impl-&gt;serialize(<span class="keyword">false</span>, 0);</div>
+<div class="line"><a id="l00240" name="l00240"></a><span class="lineno">  240</span>}</div>
+<div class="line"><a id="l00241" name="l00241"></a><span class="lineno">  241</span> </div>
+<div class="line"><a id="l00242" name="l00242"></a><span class="lineno">  242</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00243" name="l00243"></a><span class="lineno">  243</span>string&lt;A&gt; hll_sketch_alloc&lt;A&gt;::to_string(<span class="keyword">const</span> <span class="keywordtype">bool</span> summary,</div>
+<div class="line"><a id="l00244" name="l00244"></a><span class="lineno">  244</span>                                         <span class="keyword">const</span> <span class="keywordtype">bool</span> detail,</div>
+<div class="line"><a id="l00245" name="l00245"></a><span class="lineno">  245</span>                                         <span class="keyword">const</span> <span class="keywordtype">bool</span> aux_detail,</div>
+<div class="line"><a id="l00246" name="l00246"></a><span class="lineno">  246</span>                                         <span class="keyword">const</span> <span class="keywordtype">bool</span> all)<span class="keyword"> const </span>{</div>
+<div class="line"><a id="l00247" name="l00247"></a><span class="lineno">  247</span>  <span class="comment">// Using a temporary stream for implementation here does not comply with AllocatorAwareContainer requirements.</span></div>
+<div class="line"><a id="l00248" name="l00248"></a><span class="lineno">  248</span>  <span class="comment">// The stream does not support passing an allocator instance, and alternatives are complicated.</span></div>
+<div class="line"><a id="l00249" name="l00249"></a><span class="lineno">  249</span>  std::stringstream os;</div>
+<div class="line"><a id="l00250" name="l00250"></a><span class="lineno">  250</span>  <span class="keywordflow">if</span> (summary) {</div>
+<div class="line"><a id="l00251" name="l00251"></a><span class="lineno">  251</span>    os &lt;&lt; <span class="stringliteral">&quot;### HLL sketch summary:&quot;</span> &lt;&lt; std::endl</div>
+<div class="line"><a id="l00252" name="l00252"></a><span class="lineno">  252</span>       &lt;&lt; <span class="stringliteral">&quot;  Log Config K   : &quot;</span> &lt;&lt; std::to_string(get_lg_config_k()) &lt;&lt; std::endl</div>
+<div class="line"><a id="l00253" name="l00253"></a><span class="lineno">  253</span>       &lt;&lt; <span class="stringliteral">&quot;  Hll Target     : &quot;</span> &lt;&lt; type_as_string() &lt;&lt; std::endl</div>
+<div class="line"><a id="l00254" name="l00254"></a><span class="lineno">  254</span>       &lt;&lt; <span class="stringliteral">&quot;  Current Mode   : &quot;</span> &lt;&lt; mode_as_string() &lt;&lt; std::endl</div>
+<div class="line"><a id="l00255" name="l00255"></a><span class="lineno">  255</span>       &lt;&lt; <span class="stringliteral">&quot;  LB             : &quot;</span> &lt;&lt; get_lower_bound(1) &lt;&lt; std::endl</div>
+<div class="line"><a id="l00256" name="l00256"></a><span class="lineno">  256</span>       &lt;&lt; <span class="stringliteral">&quot;  Estimate       : &quot;</span> &lt;&lt; get_estimate() &lt;&lt; std::endl</div>
+<div class="line"><a id="l00257" name="l00257"></a><span class="lineno">  257</span>       &lt;&lt; <span class="stringliteral">&quot;  UB             : &quot;</span> &lt;&lt; get_upper_bound(1) &lt;&lt; std::endl</div>
+<div class="line"><a id="l00258" name="l00258"></a><span class="lineno">  258</span>       &lt;&lt; <span class="stringliteral">&quot;  OutOfOrder flag: &quot;</span> &lt;&lt; (is_out_of_order_flag() ? <span class="stringliteral">&quot;true&quot;</span> : <span class="stringliteral">&quot;false&quot;</span>) &lt;&lt; std::endl;</div>
+<div class="line"><a id="l00259" name="l00259"></a><span class="lineno">  259</span>    <span class="keywordflow">if</span> (get_current_mode() == HLL) {</div>
+<div class="line"><a id="l00260" name="l00260"></a><span class="lineno">  260</span>      HllArray&lt;A&gt;* hllArray = (HllArray&lt;A&gt;*) sketch_impl;</div>
+<div class="line"><a id="l00261" name="l00261"></a><span class="lineno">  261</span>      os &lt;&lt; <span class="stringliteral">&quot;  CurMin         : &quot;</span> &lt;&lt; std::to_string(hllArray-&gt;getCurMin()) &lt;&lt; std::endl</div>
+<div class="line"><a id="l00262" name="l00262"></a><span class="lineno">  262</span>         &lt;&lt; <span class="stringliteral">&quot;  NumAtCurMin    : &quot;</span> &lt;&lt; hllArray-&gt;getNumAtCurMin() &lt;&lt; std::endl</div>
+<div class="line"><a id="l00263" name="l00263"></a><span class="lineno">  263</span>         &lt;&lt; <span class="stringliteral">&quot;  HipAccum       : &quot;</span> &lt;&lt; hllArray-&gt;getHipAccum() &lt;&lt; std::endl</div>
+<div class="line"><a id="l00264" name="l00264"></a><span class="lineno">  264</span>         &lt;&lt; <span class="stringliteral">&quot;  KxQ0           : &quot;</span> &lt;&lt; hllArray-&gt;getKxQ0() &lt;&lt; std::endl</div>
+<div class="line"><a id="l00265" name="l00265"></a><span class="lineno">  265</span>         &lt;&lt; <span class="stringliteral">&quot;  KxQ1           : &quot;</span> &lt;&lt; hllArray-&gt;getKxQ1() &lt;&lt; std::endl;</div>
+<div class="line"><a id="l00266" name="l00266"></a><span class="lineno">  266</span>      <span class="keywordflow">if</span> (get_target_type() == HLL_4) {</div>
+<div class="line"><a id="l00267" name="l00267"></a><span class="lineno">  267</span>        <span class="keyword">const</span> Hll4Array&lt;A&gt;* hll4_ptr = <span class="keyword">static_cast&lt;</span><span class="keyword">const </span>Hll4Array&lt;A&gt;*<span class="keyword">&gt;</span>(sketch_impl);</div>
+<div class="line"><a id="l00268" name="l00268"></a><span class="lineno">  268</span>        os &lt;&lt; <span class="stringliteral">&quot;  Aux table?     : &quot;</span> &lt;&lt; (hll4_ptr-&gt;getAuxHashMap() != <span class="keyword">nullptr</span> ? <span class="stringliteral">&quot;true&quot;</span> : <span class="stringliteral">&quot;false&quot;</span>) &lt;&lt; std::endl;</div>
+<div class="line"><a id="l00269" name="l00269"></a><span class="lineno">  269</span>      }</div>
+<div class="line"><a id="l00270" name="l00270"></a><span class="lineno">  270</span>    } <span class="keywordflow">else</span> {</div>
+<div class="line"><a id="l00271" name="l00271"></a><span class="lineno">  271</span>      os &lt;&lt; <span class="stringliteral">&quot;  Coupon count   : &quot;</span></div>
+<div class="line"><a id="l00272" name="l00272"></a><span class="lineno">  272</span>         &lt;&lt; std::to_string(((CouponList&lt;A&gt;*) sketch_impl)-&gt;getCouponCount()) &lt;&lt; std::endl;</div>
+<div class="line"><a id="l00273" name="l00273"></a><span class="lineno">  273</span>    }</div>
+<div class="line"><a id="l00274" name="l00274"></a><span class="lineno">  274</span>    os &lt;&lt; <span class="stringliteral">&quot;### End HLL sketch summary&quot;</span> &lt;&lt; std::endl;</div>
+<div class="line"><a id="l00275" name="l00275"></a><span class="lineno">  275</span>  }</div>
+<div class="line"><a id="l00276" name="l00276"></a><span class="lineno">  276</span> </div>
+<div class="line"><a id="l00277" name="l00277"></a><span class="lineno">  277</span>  <span class="keywordflow">if</span> (detail) {</div>
+<div class="line"><a id="l00278" name="l00278"></a><span class="lineno">  278</span>    os &lt;&lt; <span class="stringliteral">&quot;### HLL sketch data detail:&quot;</span> &lt;&lt; std::endl;</div>
+<div class="line"><a id="l00279" name="l00279"></a><span class="lineno">  279</span>    <span class="keywordflow">if</span> (get_current_mode() == HLL) {</div>
+<div class="line"><a id="l00280" name="l00280"></a><span class="lineno">  280</span>      <span class="keyword">const</span> HllArray&lt;A&gt;* hll_ptr = <span class="keyword">static_cast&lt;</span><span class="keyword">const </span>HllArray&lt;A&gt;*<span class="keyword">&gt;</span>(sketch_impl);</div>
+<div class="line"><a id="l00281" name="l00281"></a><span class="lineno">  281</span>      os &lt;&lt; std::left &lt;&lt; std::setw(10) &lt;&lt; <span class="stringliteral">&quot;Slot&quot;</span> &lt;&lt; std::setw(6) &lt;&lt; <span class="stringliteral">&quot;Value&quot;</span> &lt;&lt; std::endl;</div>
+<div class="line"><a id="l00282" name="l00282"></a><span class="lineno">  282</span>      <span class="keyword">auto</span> it = hll_ptr-&gt;begin(all);</div>
+<div class="line"><a id="l00283" name="l00283"></a><span class="lineno">  283</span>      <span class="keywordflow">while</span> (it != hll_ptr-&gt;end()) {</div>
+<div class="line"><a id="l00284" name="l00284"></a><span class="lineno">  284</span>        os &lt;&lt; std::setw(10) &lt;&lt; HllUtil&lt;A&gt;::getLow26(*it);</div>
+<div class="line"><a id="l00285" name="l00285"></a><span class="lineno">  285</span>        os &lt;&lt; std::setw(6) &lt;&lt; HllUtil&lt;A&gt;::getValue(*it);</div>
+<div class="line"><a id="l00286" name="l00286"></a><span class="lineno">  286</span>        os &lt;&lt; std::endl;</div>
+<div class="line"><a id="l00287" name="l00287"></a><span class="lineno">  287</span>        ++it;</div>
+<div class="line"><a id="l00288" name="l00288"></a><span class="lineno">  288</span>      }</div>
+<div class="line"><a id="l00289" name="l00289"></a><span class="lineno">  289</span>    } <span class="keywordflow">else</span> {</div>
+<div class="line"><a id="l00290" name="l00290"></a><span class="lineno">  290</span>      <span class="keyword">const</span> CouponList&lt;A&gt;* list_ptr = <span class="keyword">static_cast&lt;</span><span class="keyword">const </span>CouponList&lt;A&gt;*<span class="keyword">&gt;</span>(sketch_impl);</div>
+<div class="line"><a id="l00291" name="l00291"></a><span class="lineno">  291</span>      os &lt;&lt; std::left;</div>
+<div class="line"><a id="l00292" name="l00292"></a><span class="lineno">  292</span>      os &lt;&lt; std::setw(10) &lt;&lt; <span class="stringliteral">&quot;Index&quot;</span>;</div>
+<div class="line"><a id="l00293" name="l00293"></a><span class="lineno">  293</span>      os &lt;&lt; std::setw(10) &lt;&lt; <span class="stringliteral">&quot;Key&quot;</span>;</div>
+<div class="line"><a id="l00294" name="l00294"></a><span class="lineno">  294</span>      os &lt;&lt; std::setw(10) &lt;&lt; <span class="stringliteral">&quot;Slot&quot;</span>;</div>
+<div class="line"><a id="l00295" name="l00295"></a><span class="lineno">  295</span>      os &lt;&lt; std::setw(6) &lt;&lt; <span class="stringliteral">&quot;Value&quot;</span>;</div>
+<div class="line"><a id="l00296" name="l00296"></a><span class="lineno">  296</span>      os &lt;&lt; std::endl;</div>
+<div class="line"><a id="l00297" name="l00297"></a><span class="lineno">  297</span>      <span class="keyword">auto</span> it = list_ptr-&gt;begin(all);</div>
+<div class="line"><a id="l00298" name="l00298"></a><span class="lineno">  298</span>      <span class="keywordtype">int</span> i = 0;</div>
+<div class="line"><a id="l00299" name="l00299"></a><span class="lineno">  299</span>      <span class="keywordtype">int</span> mask = (1 &lt;&lt; get_lg_config_k()) - 1;</div>
+<div class="line"><a id="l00300" name="l00300"></a><span class="lineno">  300</span>      <span class="keywordflow">while</span> (it != list_ptr-&gt;end()) {</div>
+<div class="line"><a id="l00301" name="l00301"></a><span class="lineno">  301</span>        os &lt;&lt; std::setw(10) &lt;&lt; i;</div>
+<div class="line"><a id="l00302" name="l00302"></a><span class="lineno">  302</span>        os &lt;&lt; std::setw(10) &lt;&lt; HllUtil&lt;A&gt;::getLow26(*it);</div>
+<div class="line"><a id="l00303" name="l00303"></a><span class="lineno">  303</span>        os &lt;&lt; std::setw(10) &lt;&lt; (HllUtil&lt;A&gt;::getLow26(*it) &amp; mask);</div>
+<div class="line"><a id="l00304" name="l00304"></a><span class="lineno">  304</span>        os &lt;&lt; std::setw(6) &lt;&lt; HllUtil&lt;A&gt;::getValue(*it);</div>
+<div class="line"><a id="l00305" name="l00305"></a><span class="lineno">  305</span>        os &lt;&lt; std::endl;</div>
+<div class="line"><a id="l00306" name="l00306"></a><span class="lineno">  306</span>        ++it;</div>
+<div class="line"><a id="l00307" name="l00307"></a><span class="lineno">  307</span>        ++i;</div>
+<div class="line"><a id="l00308" name="l00308"></a><span class="lineno">  308</span>      }</div>
+<div class="line"><a id="l00309" name="l00309"></a><span class="lineno">  309</span>    }</div>
+<div class="line"><a id="l00310" name="l00310"></a><span class="lineno">  310</span>    os &lt;&lt; <span class="stringliteral">&quot;### End HLL sketch data detail&quot;</span> &lt;&lt; std::endl;</div>
+<div class="line"><a id="l00311" name="l00311"></a><span class="lineno">  311</span>  }</div>
+<div class="line"><a id="l00312" name="l00312"></a><span class="lineno">  312</span>  <span class="keywordflow">if</span> (aux_detail) {</div>
+<div class="line"><a id="l00313" name="l00313"></a><span class="lineno">  313</span>    <span class="keywordflow">if</span> ((get_current_mode() == HLL) &amp;&amp; (get_target_type() == HLL_4)) {</div>
+<div class="line"><a id="l00314" name="l00314"></a><span class="lineno">  314</span>      <span class="keyword">const</span> Hll4Array&lt;A&gt;* hll4_ptr = <span class="keyword">static_cast&lt;</span><span class="keyword">const </span>Hll4Array&lt;A&gt;*<span class="keyword">&gt;</span>(sketch_impl);</div>
+<div class="line"><a id="l00315" name="l00315"></a><span class="lineno">  315</span>      <span class="keyword">const</span> AuxHashMap&lt;A&gt;* aux_ptr = hll4_ptr-&gt;getAuxHashMap();</div>
+<div class="line"><a id="l00316" name="l00316"></a><span class="lineno">  316</span>      <span class="keywordflow">if</span> (aux_ptr != <span class="keyword">nullptr</span>) {</div>
+<div class="line"><a id="l00317" name="l00317"></a><span class="lineno">  317</span>        os &lt;&lt; <span class="stringliteral">&quot;### HLL sketch aux detail:&quot;</span> &lt;&lt; std::endl;</div>
+<div class="line"><a id="l00318" name="l00318"></a><span class="lineno">  318</span>        os &lt;&lt; std::left;</div>
+<div class="line"><a id="l00319" name="l00319"></a><span class="lineno">  319</span>        os &lt;&lt; std::setw(10) &lt;&lt; <span class="stringliteral">&quot;Index&quot;</span>;</div>
+<div class="line"><a id="l00320" name="l00320"></a><span class="lineno">  320</span>        os &lt;&lt; std::setw(10) &lt;&lt; <span class="stringliteral">&quot;Key&quot;</span>;</div>
+<div class="line"><a id="l00321" name="l00321"></a><span class="lineno">  321</span>        os &lt;&lt; std::setw(10) &lt;&lt; <span class="stringliteral">&quot;Slot&quot;</span>;</div>
+<div class="line"><a id="l00322" name="l00322"></a><span class="lineno">  322</span>        os &lt;&lt; std::setw(6) &lt;&lt; <span class="stringliteral">&quot;Value&quot;</span>;</div>
+<div class="line"><a id="l00323" name="l00323"></a><span class="lineno">  323</span>        os &lt;&lt; std::endl;</div>
+<div class="line"><a id="l00324" name="l00324"></a><span class="lineno">  324</span>        <span class="keyword">auto</span> it = aux_ptr-&gt;begin(all);</div>
+<div class="line"><a id="l00325" name="l00325"></a><span class="lineno">  325</span>        <span class="keywordtype">int</span> i = 0;</div>
+<div class="line"><a id="l00326" name="l00326"></a><span class="lineno">  326</span>        <span class="keywordtype">int</span> mask = (1 &lt;&lt; get_lg_config_k()) - 1;</div>
+<div class="line"><a id="l00327" name="l00327"></a><span class="lineno">  327</span>        <span class="keywordflow">while</span> (it != aux_ptr-&gt;end()) {</div>
+<div class="line"><a id="l00328" name="l00328"></a><span class="lineno">  328</span>          os &lt;&lt; std::setw(10) &lt;&lt; i;</div>
+<div class="line"><a id="l00329" name="l00329"></a><span class="lineno">  329</span>          os &lt;&lt; std::setw(10) &lt;&lt; HllUtil&lt;A&gt;::getLow26(*it);</div>
+<div class="line"><a id="l00330" name="l00330"></a><span class="lineno">  330</span>          os &lt;&lt; std::setw(10) &lt;&lt; (HllUtil&lt;A&gt;::getLow26(*it) &amp; mask);</div>
+<div class="line"><a id="l00331" name="l00331"></a><span class="lineno">  331</span>          os &lt;&lt; std::setw(6) &lt;&lt; HllUtil&lt;A&gt;::getValue(*it);</div>
+<div class="line"><a id="l00332" name="l00332"></a><span class="lineno">  332</span>          os &lt;&lt; std::endl;</div>
+<div class="line"><a id="l00333" name="l00333"></a><span class="lineno">  333</span>          ++it;</div>
+<div class="line"><a id="l00334" name="l00334"></a><span class="lineno">  334</span>          ++i;</div>
+<div class="line"><a id="l00335" name="l00335"></a><span class="lineno">  335</span>        }</div>
+<div class="line"><a id="l00336" name="l00336"></a><span class="lineno">  336</span>        os &lt;&lt; <span class="stringliteral">&quot;### End HLL sketch aux detail&quot;</span> &lt;&lt; std::endl;</div>
+<div class="line"><a id="l00337" name="l00337"></a><span class="lineno">  337</span>      }</div>
+<div class="line"><a id="l00338" name="l00338"></a><span class="lineno">  338</span>    }</div>
+<div class="line"><a id="l00339" name="l00339"></a><span class="lineno">  339</span>  }</div>
+<div class="line"><a id="l00340" name="l00340"></a><span class="lineno">  340</span> </div>
+<div class="line"><a id="l00341" name="l00341"></a><span class="lineno">  341</span>  <span class="keywordflow">return</span> string&lt;A&gt;(os.str().c_str(), sketch_impl-&gt;getAllocator());</div>
+<div class="line"><a id="l00342" name="l00342"></a><span class="lineno">  342</span>}</div>
+<div class="line"><a id="l00343" name="l00343"></a><span class="lineno">  343</span> </div>
+<div class="line"><a id="l00344" name="l00344"></a><span class="lineno">  344</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00345" name="l00345"></a><span class="lineno">  345</span><span class="keywordtype">double</span> hll_sketch_alloc&lt;A&gt;::get_estimate()<span class="keyword"> const </span>{</div>
+<div class="line"><a id="l00346" name="l00346"></a><span class="lineno">  346</span>  <span class="keywordflow">return</span> sketch_impl-&gt;getEstimate();</div>
+<div class="line"><a id="l00347" name="l00347"></a><span class="lineno">  347</span>}</div>
+<div class="line"><a id="l00348" name="l00348"></a><span class="lineno">  348</span> </div>
+<div class="line"><a id="l00349" name="l00349"></a><span class="lineno">  349</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00350" name="l00350"></a><span class="lineno">  350</span><span class="keywordtype">double</span> hll_sketch_alloc&lt;A&gt;::get_composite_estimate()<span class="keyword"> const </span>{</div>
+<div class="line"><a id="l00351" name="l00351"></a><span class="lineno">  351</span>  <span class="keywordflow">return</span> sketch_impl-&gt;getCompositeEstimate();</div>
+<div class="line"><a id="l00352" name="l00352"></a><span class="lineno">  352</span>}</div>
+<div class="line"><a id="l00353" name="l00353"></a><span class="lineno">  353</span> </div>
+<div class="line"><a id="l00354" name="l00354"></a><span class="lineno">  354</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00355" name="l00355"></a><span class="lineno">  355</span><span class="keywordtype">double</span> hll_sketch_alloc&lt;A&gt;::get_lower_bound(uint8_t numStdDev)<span class="keyword"> const </span>{</div>
+<div class="line"><a id="l00356" name="l00356"></a><span class="lineno">  356</span>  <span class="keywordflow">return</span> sketch_impl-&gt;getLowerBound(numStdDev);</div>
+<div class="line"><a id="l00357" name="l00357"></a><span class="lineno">  357</span>}</div>
+<div class="line"><a id="l00358" name="l00358"></a><span class="lineno">  358</span> </div>
+<div class="line"><a id="l00359" name="l00359"></a><span class="lineno">  359</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00360" name="l00360"></a><span class="lineno">  360</span><span class="keywordtype">double</span> hll_sketch_alloc&lt;A&gt;::get_upper_bound(uint8_t numStdDev)<span class="keyword"> const </span>{</div>
+<div class="line"><a id="l00361" name="l00361"></a><span class="lineno">  361</span>  <span class="keywordflow">return</span> sketch_impl-&gt;getUpperBound(numStdDev);</div>
+<div class="line"><a id="l00362" name="l00362"></a><span class="lineno">  362</span>}</div>
+<div class="line"><a id="l00363" name="l00363"></a><span class="lineno">  363</span> </div>
+<div class="line"><a id="l00364" name="l00364"></a><span class="lineno">  364</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00365" name="l00365"></a><span class="lineno">  365</span>hll_mode hll_sketch_alloc&lt;A&gt;::get_current_mode()<span class="keyword"> const </span>{</div>
+<div class="line"><a id="l00366" name="l00366"></a><span class="lineno">  366</span>  <span class="keywordflow">return</span> sketch_impl-&gt;getCurMode();</div>
+<div class="line"><a id="l00367" name="l00367"></a><span class="lineno">  367</span>}</div>
+<div class="line"><a id="l00368" name="l00368"></a><span class="lineno">  368</span> </div>
+<div class="line"><a id="l00369" name="l00369"></a><span class="lineno">  369</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00370" name="l00370"></a><span class="lineno">  370</span>uint8_t hll_sketch_alloc&lt;A&gt;::get_lg_config_k()<span class="keyword"> const </span>{</div>
+<div class="line"><a id="l00371" name="l00371"></a><span class="lineno">  371</span>  <span class="keywordflow">return</span> sketch_impl-&gt;getLgConfigK();</div>
+<div class="line"><a id="l00372" name="l00372"></a><span class="lineno">  372</span>}</div>
+<div class="line"><a id="l00373" name="l00373"></a><span class="lineno">  373</span> </div>
+<div class="line"><a id="l00374" name="l00374"></a><span class="lineno">  374</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00375" name="l00375"></a><span class="lineno">  375</span><a class="code hl_enumeration" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4">target_hll_type</a> hll_sketch_alloc&lt;A&gt;::get_target_type()<span class="keyword"> const </span>{</div>
+<div class="line"><a id="l00376" name="l00376"></a><span class="lineno">  376</span>  <span class="keywordflow">return</span> sketch_impl-&gt;getTgtHllType();</div>
+<div class="line"><a id="l00377" name="l00377"></a><span class="lineno">  377</span>}</div>
+<div class="line"><a id="l00378" name="l00378"></a><span class="lineno">  378</span> </div>
+<div class="line"><a id="l00379" name="l00379"></a><span class="lineno">  379</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00380" name="l00380"></a><span class="lineno">  380</span><span class="keywordtype">bool</span> hll_sketch_alloc&lt;A&gt;::is_out_of_order_flag()<span class="keyword"> const </span>{</div>
+<div class="line"><a id="l00381" name="l00381"></a><span class="lineno">  381</span>  <span class="keywordflow">return</span> sketch_impl-&gt;isOutOfOrderFlag();</div>
+<div class="line"><a id="l00382" name="l00382"></a><span class="lineno">  382</span>}</div>
+<div class="line"><a id="l00383" name="l00383"></a><span class="lineno">  383</span> </div>
+<div class="line"><a id="l00384" name="l00384"></a><span class="lineno">  384</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00385" name="l00385"></a><span class="lineno">  385</span><span class="keywordtype">bool</span> hll_sketch_alloc&lt;A&gt;::is_estimation_mode()<span class="keyword"> const </span>{</div>
+<div class="line"><a id="l00386" name="l00386"></a><span class="lineno">  386</span>  <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
+<div class="line"><a id="l00387" name="l00387"></a><span class="lineno">  387</span>}</div>
+<div class="line"><a id="l00388" name="l00388"></a><span class="lineno">  388</span> </div>
+<div class="line"><a id="l00389" name="l00389"></a><span class="lineno">  389</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00390" name="l00390"></a><span class="lineno">  390</span>uint32_t hll_sketch_alloc&lt;A&gt;::get_updatable_serialization_bytes()<span class="keyword"> const </span>{</div>
+<div class="line"><a id="l00391" name="l00391"></a><span class="lineno">  391</span>  <span class="keywordflow">return</span> sketch_impl-&gt;getUpdatableSerializationBytes();</div>
+<div class="line"><a id="l00392" name="l00392"></a><span class="lineno">  392</span>}</div>
+<div class="line"><a id="l00393" name="l00393"></a><span class="lineno">  393</span> </div>
+<div class="line"><a id="l00394" name="l00394"></a><span class="lineno">  394</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00395" name="l00395"></a><span class="lineno">  395</span>uint32_t hll_sketch_alloc&lt;A&gt;::get_compact_serialization_bytes()<span class="keyword"> const </span>{</div>
+<div class="line"><a id="l00396" name="l00396"></a><span class="lineno">  396</span>  <span class="keywordflow">return</span> sketch_impl-&gt;getCompactSerializationBytes();</div>
+<div class="line"><a id="l00397" name="l00397"></a><span class="lineno">  397</span>}</div>
+<div class="line"><a id="l00398" name="l00398"></a><span class="lineno">  398</span> </div>
+<div class="line"><a id="l00399" name="l00399"></a><span class="lineno">  399</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00400" name="l00400"></a><span class="lineno">  400</span><span class="keywordtype">bool</span> hll_sketch_alloc&lt;A&gt;::is_compact()<span class="keyword"> const </span>{</div>
+<div class="line"><a id="l00401" name="l00401"></a><span class="lineno">  401</span>  <span class="keywordflow">return</span> sketch_impl-&gt;isCompact();</div>
+<div class="line"><a id="l00402" name="l00402"></a><span class="lineno">  402</span>}</div>
+<div class="line"><a id="l00403" name="l00403"></a><span class="lineno">  403</span> </div>
+<div class="line"><a id="l00404" name="l00404"></a><span class="lineno">  404</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00405" name="l00405"></a><span class="lineno">  405</span><span class="keywordtype">bool</span> hll_sketch_alloc&lt;A&gt;::is_empty()<span class="keyword"> const </span>{</div>
+<div class="line"><a id="l00406" name="l00406"></a><span class="lineno">  406</span>  <span class="keywordflow">return</span> sketch_impl-&gt;isEmpty();</div>
+<div class="line"><a id="l00407" name="l00407"></a><span class="lineno">  407</span>}</div>
+<div class="line"><a id="l00408" name="l00408"></a><span class="lineno">  408</span> </div>
+<div class="line"><a id="l00409" name="l00409"></a><span class="lineno">  409</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00410" name="l00410"></a><span class="lineno">  410</span>std::string hll_sketch_alloc&lt;A&gt;::type_as_string()<span class="keyword"> const </span>{</div>
+<div class="line"><a id="l00411" name="l00411"></a><span class="lineno">  411</span>  <span class="keywordflow">switch</span> (sketch_impl-&gt;getTgtHllType()) {</div>
+<div class="line"><a id="l00412" name="l00412"></a><span class="lineno">  412</span>    <span class="keywordflow">case</span> target_hll_type::HLL_4:</div>
+<div class="line"><a id="l00413" name="l00413"></a><span class="lineno">  413</span>      <span class="keywordflow">return</span> std::string(<span class="stringliteral">&quot;HLL_4&quot;</span>);</div>
+<div class="line"><a id="l00414" name="l00414"></a><span class="lineno">  414</span>    <span class="keywordflow">case</span> target_hll_type::HLL_6:</div>
+<div class="line"><a id="l00415" name="l00415"></a><span class="lineno">  415</span>      <span class="keywordflow">return</span> std::string(<span class="stringliteral">&quot;HLL_6&quot;</span>);</div>
+<div class="line"><a id="l00416" name="l00416"></a><span class="lineno">  416</span>    <span class="keywordflow">case</span> target_hll_type::HLL_8:</div>
+<div class="line"><a id="l00417" name="l00417"></a><span class="lineno">  417</span>      <span class="keywordflow">return</span> std::string(<span class="stringliteral">&quot;HLL_8&quot;</span>);</div>
+<div class="line"><a id="l00418" name="l00418"></a><span class="lineno">  418</span>    <span class="keywordflow">default</span>:</div>
+<div class="line"><a id="l00419" name="l00419"></a><span class="lineno">  419</span>      <span class="keywordflow">throw</span> std::runtime_error(<span class="stringliteral">&quot;Sketch state error: Invalid target_hll_type&quot;</span>);</div>
+<div class="line"><a id="l00420" name="l00420"></a><span class="lineno">  420</span>  }</div>
+<div class="line"><a id="l00421" name="l00421"></a><span class="lineno">  421</span>}</div>
+<div class="line"><a id="l00422" name="l00422"></a><span class="lineno">  422</span> </div>
+<div class="line"><a id="l00423" name="l00423"></a><span class="lineno">  423</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00424" name="l00424"></a><span class="lineno">  424</span>std::string hll_sketch_alloc&lt;A&gt;::mode_as_string()<span class="keyword"> const </span>{</div>
+<div class="line"><a id="l00425" name="l00425"></a><span class="lineno">  425</span>  <span class="keywordflow">switch</span> (sketch_impl-&gt;getCurMode()) {</div>
+<div class="line"><a id="l00426" name="l00426"></a><span class="lineno">  426</span>    <span class="keywordflow">case</span> LIST:</div>
+<div class="line"><a id="l00427" name="l00427"></a><span class="lineno">  427</span>      <span class="keywordflow">return</span> std::string(<span class="stringliteral">&quot;LIST&quot;</span>);</div>
+<div class="line"><a id="l00428" name="l00428"></a><span class="lineno">  428</span>    <span class="keywordflow">case</span> SET:</div>
+<div class="line"><a id="l00429" name="l00429"></a><span class="lineno">  429</span>      <span class="keywordflow">return</span> std::string(<span class="stringliteral">&quot;SET&quot;</span>);</div>
+<div class="line"><a id="l00430" name="l00430"></a><span class="lineno">  430</span>    <span class="keywordflow">case</span> HLL:</div>
+<div class="line"><a id="l00431" name="l00431"></a><span class="lineno">  431</span>      <span class="keywordflow">return</span> std::string(<span class="stringliteral">&quot;HLL&quot;</span>);</div>
+<div class="line"><a id="l00432" name="l00432"></a><span class="lineno">  432</span>    <span class="keywordflow">default</span>:</div>
+<div class="line"><a id="l00433" name="l00433"></a><span class="lineno">  433</span>      <span class="keywordflow">throw</span> std::runtime_error(<span class="stringliteral">&quot;Sketch state error: Invalid hll_mode&quot;</span>);</div>
+<div class="line"><a id="l00434" name="l00434"></a><span class="lineno">  434</span>  }</div>
+<div class="line"><a id="l00435" name="l00435"></a><span class="lineno">  435</span>}</div>
+<div class="line"><a id="l00436" name="l00436"></a><span class="lineno">  436</span> </div>
+<div class="line"><a id="l00437" name="l00437"></a><span class="lineno">  437</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00438" name="l00438"></a><span class="lineno">  438</span>uint32_t hll_sketch_alloc&lt;A&gt;::get_max_updatable_serialization_bytes(uint8_t lg_config_k,</div>
+<div class="line"><a id="l00439" name="l00439"></a><span class="lineno">  439</span>    <span class="keyword">const</span> target_hll_type tgtHllType) {</div>
+<div class="line"><a id="l00440" name="l00440"></a><span class="lineno">  440</span>  uint32_t arrBytes;</div>
+<div class="line"><a id="l00441" name="l00441"></a><span class="lineno">  441</span>  <span class="keywordflow">if</span> (tgtHllType == target_hll_type::HLL_4) {</div>
+<div class="line"><a id="l00442" name="l00442"></a><span class="lineno">  442</span>    <span class="keyword">const</span> uint32_t auxBytes = 4 &lt;&lt; hll_constants::LG_AUX_ARR_INTS[lg_config_k];</div>
+<div class="line"><a id="l00443" name="l00443"></a><span class="lineno">  443</span>    arrBytes = HllArray&lt;A&gt;::hll4ArrBytes(lg_config_k) + auxBytes;</div>
+<div class="line"><a id="l00444" name="l00444"></a><span class="lineno">  444</span>  } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (tgtHllType == target_hll_type::HLL_6) {</div>
+<div class="line"><a id="l00445" name="l00445"></a><span class="lineno">  445</span>    arrBytes = HllArray&lt;A&gt;::hll6ArrBytes(lg_config_k);</div>
+<div class="line"><a id="l00446" name="l00446"></a><span class="lineno">  446</span>  } <span class="keywordflow">else</span> { <span class="comment">//HLL_8</span></div>
+<div class="line"><a id="l00447" name="l00447"></a><span class="lineno">  447</span>    arrBytes = HllArray&lt;A&gt;::hll8ArrBytes(lg_config_k);</div>
+<div class="line"><a id="l00448" name="l00448"></a><span class="lineno">  448</span>  }</div>
+<div class="line"><a id="l00449" name="l00449"></a><span class="lineno">  449</span>  <span class="keywordflow">return</span> hll_constants::HLL_BYTE_ARR_START + arrBytes;</div>
+<div class="line"><a id="l00450" name="l00450"></a><span class="lineno">  450</span>}</div>
+<div class="line"><a id="l00451" name="l00451"></a><span class="lineno">  451</span> </div>
+<div class="line"><a id="l00452" name="l00452"></a><span class="lineno">  452</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00453" name="l00453"></a><span class="lineno">  453</span><span class="keywordtype">double</span> hll_sketch_alloc&lt;A&gt;::get_rel_err(<span class="keywordtype">bool</span> upperBound, <span class="keywordtype">bool</span> unioned,</div>
+<div class="line"><a id="l00454" name="l00454"></a><span class="lineno">  454</span>                           uint8_t lg_config_k, uint8_t numStdDev) {</div>
+<div class="line"><a id="l00455" name="l00455"></a><span class="lineno">  455</span>  <span class="keywordflow">return</span> HllUtil&lt;A&gt;::getRelErr(upperBound, unioned, lg_config_k, numStdDev);</div>
+<div class="line"><a id="l00456" name="l00456"></a><span class="lineno">  456</span>}</div>
+<div class="line"><a id="l00457" name="l00457"></a><span class="lineno">  457</span> </div>
 <div class="line"><a id="l00458" name="l00458"></a><span class="lineno">  458</span>}</div>
 <div class="line"><a id="l00459" name="l00459"></a><span class="lineno">  459</span> </div>
-<div class="line"><a id="l00460" name="l00460"></a><span class="lineno">  460</span>}</div>
-<div class="line"><a id="l00461" name="l00461"></a><span class="lineno">  461</span> </div>
-<div class="line"><a id="l00462" name="l00462"></a><span class="lineno">  462</span><span class="preprocessor">#endif </span><span class="comment">// _HLLSKETCH_INTERNAL_HPP_</span></div>
+<div class="line"><a id="l00460" name="l00460"></a><span class="lineno">  460</span><span class="preprocessor">#endif </span><span class="comment">// _HLLSKETCH_INTERNAL_HPP_</span></div>
 <div class="ttc" id="anamespacedatasketches_html"><div class="ttname"><a href="namespacedatasketches.html">datasketches</a></div><div class="ttdoc">DataSketches namespace.</div><div class="ttdef"><b>Definition</b> binomial_bounds.hpp:38</div></div>
 <div class="ttc" id="anamespacedatasketches_html_a76c1ad9235877691984d49415bb263e4"><div class="ttname"><a href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4">datasketches::target_hll_type</a></div><div class="ttdeci">target_hll_type</div><div class="ttdoc">Specifies the target type of HLL sketch to be created.</div><div class="ttdef"><b>Definition</b> hll.hpp:72</div></div>
 </div><!-- fragment --></div><!-- contents -->
diff --git a/docs/master/HllSketchImpl-internal_8hpp_source.html b/docs/master/HllSketchImpl-internal_8hpp_source.html
index 7e0a4ac..34cab54 100644
--- a/docs/master/HllSketchImpl-internal_8hpp_source.html
+++ b/docs/master/HllSketchImpl-internal_8hpp_source.html
@@ -112,126 +112,120 @@ $(document).ready(function() { init_codefold(0); });
 <div class="line"><a id="l00029" name="l00029"></a><span class="lineno">   29</span> </div>
 <div class="line"><a id="l00030" name="l00030"></a><span class="lineno">   30</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
 <div class="line"><a id="l00031" name="l00031"></a><span class="lineno">   31</span>HllSketchImpl&lt;A&gt;::HllSketchImpl(uint8_t lgConfigK, <a class="code hl_enumeration" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4">target_hll_type</a> tgtHllType,</div>
-<div class="line"><a id="l00032" name="l00032"></a><span class="lineno">   32</span>                                hll_mode mode, <span class="keywordtype">bool</span> startFullSize)</div>
+<div class="line"><a id="l00032" name="l00032"></a><span class="lineno">   32</span>                                hll_mode mode)</div>
 <div class="line"><a id="l00033" name="l00033"></a><span class="lineno">   33</span>  : lgConfigK_(lgConfigK),</div>
 <div class="line"><a id="l00034" name="l00034"></a><span class="lineno">   34</span>    tgtHllType_(tgtHllType),</div>
-<div class="line"><a id="l00035" name="l00035"></a><span class="lineno">   35</span>    mode_(mode),</div>
-<div class="line"><a id="l00036" name="l00036"></a><span class="lineno">   36</span>    startFullSize_(startFullSize)</div>
-<div class="line"><a id="l00037" name="l00037"></a><span class="lineno">   37</span>{</div>
-<div class="line"><a id="l00038" name="l00038"></a><span class="lineno">   38</span>}</div>
-<div class="line"><a id="l00039" name="l00039"></a><span class="lineno">   39</span> </div>
-<div class="line"><a id="l00040" name="l00040"></a><span class="lineno">   40</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00041" name="l00041"></a><span class="lineno">   41</span>HllSketchImpl&lt;A&gt;::~HllSketchImpl() {</div>
-<div class="line"><a id="l00042" name="l00042"></a><span class="lineno">   42</span>}</div>
-<div class="line"><a id="l00043" name="l00043"></a><span class="lineno">   43</span> </div>
-<div class="line"><a id="l00044" name="l00044"></a><span class="lineno">   44</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00045" name="l00045"></a><span class="lineno">   45</span><a class="code hl_enumeration" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4">target_hll_type</a> HllSketchImpl&lt;A&gt;::extractTgtHllType(uint8_t modeByte) {</div>
-<div class="line"><a id="l00046" name="l00046"></a><span class="lineno">   46</span>  <span class="keywordflow">switch</span> ((modeByte &gt;&gt; 2) &amp; 0x3) {</div>
-<div class="line"><a id="l00047" name="l00047"></a><span class="lineno">   47</span>  <span class="keywordflow">case</span> 0:</div>
-<div class="line"><a id="l00048" name="l00048"></a><span class="lineno">   48</span>    <span class="keywordflow">return</span> target_hll_type::HLL_4;</div>
-<div class="line"><a id="l00049" name="l00049"></a><span class="lineno">   49</span>  <span class="keywordflow">case</span> 1:</div>
-<div class="line"><a id="l00050" name="l00050"></a><span class="lineno">   50</span>    <span class="keywordflow">return</span> target_hll_type::HLL_6;</div>
-<div class="line"><a id="l00051" name="l00051"></a><span class="lineno">   51</span>  <span class="keywordflow">case</span> 2:</div>
-<div class="line"><a id="l00052" name="l00052"></a><span class="lineno">   52</span>    <span class="keywordflow">return</span> target_hll_type::HLL_8;</div>
-<div class="line"><a id="l00053" name="l00053"></a><span class="lineno">   53</span>  <span class="keywordflow">default</span>:</div>
-<div class="line"><a id="l00054" name="l00054"></a><span class="lineno">   54</span>    <span class="keywordflow">throw</span> std::invalid_argument(<span class="stringliteral">&quot;Invalid target HLL type&quot;</span>);</div>
-<div class="line"><a id="l00055" name="l00055"></a><span class="lineno">   55</span>  }</div>
-<div class="line"><a id="l00056" name="l00056"></a><span class="lineno">   56</span>}</div>
-<div class="line"><a id="l00057" name="l00057"></a><span class="lineno">   57</span> </div>
-<div class="line"><a id="l00058" name="l00058"></a><span class="lineno">   58</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00059" name="l00059"></a><span class="lineno">   59</span>hll_mode HllSketchImpl&lt;A&gt;::extractCurMode(uint8_t modeByte) {</div>
-<div class="line"><a id="l00060" name="l00060"></a><span class="lineno">   60</span>  <span class="keywordflow">switch</span> (modeByte &amp; 0x3) {</div>
-<div class="line"><a id="l00061" name="l00061"></a><span class="lineno">   61</span>  <span class="keywordflow">case</span> 0:</div>
-<div class="line"><a id="l00062" name="l00062"></a><span class="lineno">   62</span>    <span class="keywordflow">return</span> hll_mode::LIST;</div>
-<div class="line"><a id="l00063" name="l00063"></a><span class="lineno">   63</span>  <span class="keywordflow">case</span> 1:</div>
-<div class="line"><a id="l00064" name="l00064"></a><span class="lineno">   64</span>    <span class="keywordflow">return</span> hll_mode::SET;</div>
-<div class="line"><a id="l00065" name="l00065"></a><span class="lineno">   65</span>  <span class="keywordflow">case</span> 2:</div>
-<div class="line"><a id="l00066" name="l00066"></a><span class="lineno">   66</span>    <span class="keywordflow">return</span> hll_mode::HLL;</div>
-<div class="line"><a id="l00067" name="l00067"></a><span class="lineno">   67</span>  <span class="keywordflow">default</span>:</div>
-<div class="line"><a id="l00068" name="l00068"></a><span class="lineno">   68</span>    <span class="keywordflow">throw</span> std::invalid_argument(<span class="stringliteral">&quot;Invalid current sketch mode&quot;</span>);</div>
-<div class="line"><a id="l00069" name="l00069"></a><span class="lineno">   69</span>  }</div>
-<div class="line"><a id="l00070" name="l00070"></a><span class="lineno">   70</span>}</div>
-<div class="line"><a id="l00071" name="l00071"></a><span class="lineno">   71</span> </div>
-<div class="line"><a id="l00072" name="l00072"></a><span class="lineno">   72</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00073" name="l00073"></a><span class="lineno">   73</span>uint8_t HllSketchImpl&lt;A&gt;::makeFlagsByte(<span class="keywordtype">bool</span> compact)<span class="keyword"> const </span>{</div>
-<div class="line"><a id="l00074" name="l00074"></a><span class="lineno">   74</span>  uint8_t flags = 0;</div>
-<div class="line"><a id="l00075" name="l00075"></a><span class="lineno">   75</span>  flags |= (isEmpty() ? hll_constants::EMPTY_FLAG_MASK : 0);</div>
-<div class="line"><a id="l00076" name="l00076"></a><span class="lineno">   76</span>  flags |= (compact ? hll_constants::COMPACT_FLAG_MASK : 0);</div>
-<div class="line"><a id="l00077" name="l00077"></a><span class="lineno">   77</span>  flags |= (isOutOfOrderFlag() ? hll_constants::OUT_OF_ORDER_FLAG_MASK : 0);</div>
-<div class="line"><a id="l00078" name="l00078"></a><span class="lineno">   78</span>  flags |= (startFullSize_ ? hll_constants::FULL_SIZE_FLAG_MASK : 0);</div>
-<div class="line"><a id="l00079" name="l00079"></a><span class="lineno">   79</span>  <span class="keywordflow">return</span> flags;</div>
-<div class="line"><a id="l00080" name="l00080"></a><span class="lineno">   80</span>}</div>
-<div class="line"><a id="l00081" name="l00081"></a><span class="lineno">   81</span> </div>
-<div class="line"><a id="l00082" name="l00082"></a><span class="lineno">   82</span><span class="comment">// lo2bits = curMode, next 2 bits = tgtHllType</span></div>
-<div class="line"><a id="l00083" name="l00083"></a><span class="lineno">   83</span><span class="comment">// Dec  Lo4Bits TgtHllType, CurMode</span></div>
-<div class="line"><a id="l00084" name="l00084"></a><span class="lineno">   84</span><span class="comment">//   0     0000      HLL_4,    LIST</span></div>
-<div class="line"><a id="l00085" name="l00085"></a><span class="lineno">   85</span><span class="comment">//   1     0001      HLL_4,     SET</span></div>
-<div class="line"><a id="l00086" name="l00086"></a><span class="lineno">   86</span><span class="comment">//   2     0010      HLL_4,     HLL</span></div>
-<div class="line"><a id="l00087" name="l00087"></a><span class="lineno">   87</span><span class="comment">//   4     0100      HLL_6,    LIST</span></div>
-<div class="line"><a id="l00088" name="l00088"></a><span class="lineno">   88</span><span class="comment">//   5     0101      HLL_6,     SET</span></div>
-<div class="line"><a id="l00089" name="l00089"></a><span class="lineno">   89</span><span class="comment">//   6     0110      HLL_6,     HLL</span></div>
-<div class="line"><a id="l00090" name="l00090"></a><span class="lineno">   90</span><span class="comment">//   8     1000      HLL_8,    LIST</span></div>
-<div class="line"><a id="l00091" name="l00091"></a><span class="lineno">   91</span><span class="comment">//   9     1001      HLL_8,     SET</span></div>
-<div class="line"><a id="l00092" name="l00092"></a><span class="lineno">   92</span><span class="comment">//  10     1010      HLL_8,     HLL</span></div>
-<div class="line"><a id="l00093" name="l00093"></a><span class="lineno">   93</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00094" name="l00094"></a><span class="lineno">   94</span>uint8_t HllSketchImpl&lt;A&gt;::makeModeByte()<span class="keyword"> const </span>{</div>
-<div class="line"><a id="l00095" name="l00095"></a><span class="lineno">   95</span>  uint8_t <span class="keywordtype">byte</span> = 0;</div>
-<div class="line"><a id="l00096" name="l00096"></a><span class="lineno">   96</span> </div>
-<div class="line"><a id="l00097" name="l00097"></a><span class="lineno">   97</span>  <span class="keywordflow">switch</span> (mode_) {</div>
-<div class="line"><a id="l00098" name="l00098"></a><span class="lineno">   98</span>  <span class="keywordflow">case</span> LIST:</div>
-<div class="line"><a id="l00099" name="l00099"></a><span class="lineno">   99</span>    <span class="keywordtype">byte</span> = 0;</div>
-<div class="line"><a id="l00100" name="l00100"></a><span class="lineno">  100</span>    <span class="keywordflow">break</span>;</div>
-<div class="line"><a id="l00101" name="l00101"></a><span class="lineno">  101</span>  <span class="keywordflow">case</span> SET:</div>
-<div class="line"><a id="l00102" name="l00102"></a><span class="lineno">  102</span>    <span class="keywordtype">byte</span> = 1;</div>
-<div class="line"><a id="l00103" name="l00103"></a><span class="lineno">  103</span>    <span class="keywordflow">break</span>;</div>
-<div class="line"><a id="l00104" name="l00104"></a><span class="lineno">  104</span>  <span class="keywordflow">case</span> HLL:</div>
-<div class="line"><a id="l00105" name="l00105"></a><span class="lineno">  105</span>    <span class="keywordtype">byte</span> = 2;</div>
-<div class="line"><a id="l00106" name="l00106"></a><span class="lineno">  106</span>    <span class="keywordflow">break</span>;</div>
-<div class="line"><a id="l00107" name="l00107"></a><span class="lineno">  107</span>  }</div>
-<div class="line"><a id="l00108" name="l00108"></a><span class="lineno">  108</span> </div>
-<div class="line"><a id="l00109" name="l00109"></a><span class="lineno">  109</span>  <span class="keywordflow">switch</span> (tgtHllType_) {</div>
-<div class="line"><a id="l00110" name="l00110"></a><span class="lineno">  110</span>  <span class="keywordflow">case</span> <a class="code hl_enumvalue" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4aebdac6704039b95d8b82629cda14b1b9">HLL_4</a>:</div>
-<div class="line"><a id="l00111" name="l00111"></a><span class="lineno">  111</span>    <span class="keywordtype">byte</span> |= (0 &lt;&lt; 2);  <span class="comment">// for completeness</span></div>
-<div class="line"><a id="l00112" name="l00112"></a><span class="lineno">  112</span>    <span class="keywordflow">break</span>;</div>
-<div class="line"><a id="l00113" name="l00113"></a><span class="lineno">  113</span>  <span class="keywordflow">case</span> <a class="code hl_enumvalue" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4a0a2179d612c2ce6887e96279f25d7a77">HLL_6</a>:</div>
-<div class="line"><a id="l00114" name="l00114"></a><span class="lineno">  114</span>    <span class="keywordtype">byte</span> |= (1 &lt;&lt; 2);</div>
-<div class="line"><a id="l00115" name="l00115"></a><span class="lineno">  115</span>    <span class="keywordflow">break</span>;</div>
-<div class="line"><a id="l00116" name="l00116"></a><span class="lineno">  116</span>  <span class="keywordflow">case</span> <a class="code hl_enumvalue" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4a3a5efa79623d3e2ab53f27ef53237c7f">HLL_8</a>:</div>
-<div class="line"><a id="l00117" name="l00117"></a><span class="lineno">  117</span>    <span class="keywordtype">byte</span> |= (2 &lt;&lt; 2); </div>
-<div class="line"><a id="l00118" name="l00118"></a><span class="lineno">  118</span>    <span class="keywordflow">break</span>;</div>
-<div class="line"><a id="l00119" name="l00119"></a><span class="lineno">  119</span>  }</div>
-<div class="line"><a id="l00120" name="l00120"></a><span class="lineno">  120</span> </div>
-<div class="line"><a id="l00121" name="l00121"></a><span class="lineno">  121</span>  <span class="keywordflow">return</span> byte;</div>
-<div class="line"><a id="l00122" name="l00122"></a><span class="lineno">  122</span>}</div>
-<div class="line"><a id="l00123" name="l00123"></a><span class="lineno">  123</span> </div>
-<div class="line"><a id="l00124" name="l00124"></a><span class="lineno">  124</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00125" name="l00125"></a><span class="lineno">  125</span>HllSketchImpl&lt;A&gt;* HllSketchImpl&lt;A&gt;::reset() {</div>
-<div class="line"><a id="l00126" name="l00126"></a><span class="lineno">  126</span>  <span class="keywordflow">return</span> HllSketchImplFactory&lt;A&gt;::reset(<span class="keyword">this</span>, startFullSize_);</div>
-<div class="line"><a id="l00127" name="l00127"></a><span class="lineno">  127</span>}</div>
-<div class="line"><a id="l00128" name="l00128"></a><span class="lineno">  128</span> </div>
-<div class="line"><a id="l00129" name="l00129"></a><span class="lineno">  129</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00130" name="l00130"></a><span class="lineno">  130</span><a class="code hl_enumeration" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4">target_hll_type</a> HllSketchImpl&lt;A&gt;::getTgtHllType()<span class="keyword"> const </span>{</div>
-<div class="line"><a id="l00131" name="l00131"></a><span class="lineno">  131</span>  <span class="keywordflow">return</span> tgtHllType_;</div>
-<div class="line"><a id="l00132" name="l00132"></a><span class="lineno">  132</span>}</div>
-<div class="line"><a id="l00133" name="l00133"></a><span class="lineno">  133</span> </div>
-<div class="line"><a id="l00134" name="l00134"></a><span class="lineno">  134</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00135" name="l00135"></a><span class="lineno">  135</span>uint8_t HllSketchImpl&lt;A&gt;::getLgConfigK()<span class="keyword"> const </span>{</div>
-<div class="line"><a id="l00136" name="l00136"></a><span class="lineno">  136</span>  <span class="keywordflow">return</span> lgConfigK_;</div>
-<div class="line"><a id="l00137" name="l00137"></a><span class="lineno">  137</span>}</div>
-<div class="line"><a id="l00138" name="l00138"></a><span class="lineno">  138</span> </div>
-<div class="line"><a id="l00139" name="l00139"></a><span class="lineno">  139</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00140" name="l00140"></a><span class="lineno">  140</span>hll_mode HllSketchImpl&lt;A&gt;::getCurMode()<span class="keyword"> const </span>{</div>
-<div class="line"><a id="l00141" name="l00141"></a><span class="lineno">  141</span>  <span class="keywordflow">return</span> mode_;</div>
-<div class="line"><a id="l00142" name="l00142"></a><span class="lineno">  142</span>}</div>
-<div class="line"><a id="l00143" name="l00143"></a><span class="lineno">  143</span> </div>
-<div class="line"><a id="l00144" name="l00144"></a><span class="lineno">  144</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00145" name="l00145"></a><span class="lineno">  145</span><span class="keywordtype">bool</span> HllSketchImpl&lt;A&gt;::isStartFullSize()<span class="keyword"> const </span>{</div>
-<div class="line"><a id="l00146" name="l00146"></a><span class="lineno">  146</span>  <span class="keywordflow">return</span> startFullSize_;</div>
-<div class="line"><a id="l00147" name="l00147"></a><span class="lineno">  147</span>}</div>
-<div class="line"><a id="l00148" name="l00148"></a><span class="lineno">  148</span> </div>
-<div class="line"><a id="l00149" name="l00149"></a><span class="lineno">  149</span>}</div>
-<div class="line"><a id="l00150" name="l00150"></a><span class="lineno">  150</span> </div>
-<div class="line"><a id="l00151" name="l00151"></a><span class="lineno">  151</span><span class="preprocessor">#endif </span><span class="comment">// _HLLSKETCHIMPL_INTERNAL_HPP_</span></div>
+<div class="line"><a id="l00035" name="l00035"></a><span class="lineno">   35</span>    mode_(mode)</div>
+<div class="line"><a id="l00036" name="l00036"></a><span class="lineno">   36</span>{</div>
+<div class="line"><a id="l00037" name="l00037"></a><span class="lineno">   37</span>}</div>
+<div class="line"><a id="l00038" name="l00038"></a><span class="lineno">   38</span> </div>
+<div class="line"><a id="l00039" name="l00039"></a><span class="lineno">   39</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00040" name="l00040"></a><span class="lineno">   40</span>HllSketchImpl&lt;A&gt;::~HllSketchImpl() {</div>
+<div class="line"><a id="l00041" name="l00041"></a><span class="lineno">   41</span>}</div>
+<div class="line"><a id="l00042" name="l00042"></a><span class="lineno">   42</span> </div>
+<div class="line"><a id="l00043" name="l00043"></a><span class="lineno">   43</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00044" name="l00044"></a><span class="lineno">   44</span><a class="code hl_enumeration" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4">target_hll_type</a> HllSketchImpl&lt;A&gt;::extractTgtHllType(uint8_t modeByte) {</div>
+<div class="line"><a id="l00045" name="l00045"></a><span class="lineno">   45</span>  <span class="keywordflow">switch</span> ((modeByte &gt;&gt; 2) &amp; 0x3) {</div>
+<div class="line"><a id="l00046" name="l00046"></a><span class="lineno">   46</span>  <span class="keywordflow">case</span> 0:</div>
+<div class="line"><a id="l00047" name="l00047"></a><span class="lineno">   47</span>    <span class="keywordflow">return</span> target_hll_type::HLL_4;</div>
+<div class="line"><a id="l00048" name="l00048"></a><span class="lineno">   48</span>  <span class="keywordflow">case</span> 1:</div>
+<div class="line"><a id="l00049" name="l00049"></a><span class="lineno">   49</span>    <span class="keywordflow">return</span> target_hll_type::HLL_6;</div>
+<div class="line"><a id="l00050" name="l00050"></a><span class="lineno">   50</span>  <span class="keywordflow">case</span> 2:</div>
+<div class="line"><a id="l00051" name="l00051"></a><span class="lineno">   51</span>    <span class="keywordflow">return</span> target_hll_type::HLL_8;</div>
+<div class="line"><a id="l00052" name="l00052"></a><span class="lineno">   52</span>  <span class="keywordflow">default</span>:</div>
+<div class="line"><a id="l00053" name="l00053"></a><span class="lineno">   53</span>    <span class="keywordflow">throw</span> std::invalid_argument(<span class="stringliteral">&quot;Invalid target HLL type&quot;</span>);</div>
+<div class="line"><a id="l00054" name="l00054"></a><span class="lineno">   54</span>  }</div>
+<div class="line"><a id="l00055" name="l00055"></a><span class="lineno">   55</span>}</div>
+<div class="line"><a id="l00056" name="l00056"></a><span class="lineno">   56</span> </div>
+<div class="line"><a id="l00057" name="l00057"></a><span class="lineno">   57</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00058" name="l00058"></a><span class="lineno">   58</span>hll_mode HllSketchImpl&lt;A&gt;::extractCurMode(uint8_t modeByte) {</div>
+<div class="line"><a id="l00059" name="l00059"></a><span class="lineno">   59</span>  <span class="keywordflow">switch</span> (modeByte &amp; 0x3) {</div>
+<div class="line"><a id="l00060" name="l00060"></a><span class="lineno">   60</span>  <span class="keywordflow">case</span> 0:</div>
+<div class="line"><a id="l00061" name="l00061"></a><span class="lineno">   61</span>    <span class="keywordflow">return</span> hll_mode::LIST;</div>
+<div class="line"><a id="l00062" name="l00062"></a><span class="lineno">   62</span>  <span class="keywordflow">case</span> 1:</div>
+<div class="line"><a id="l00063" name="l00063"></a><span class="lineno">   63</span>    <span class="keywordflow">return</span> hll_mode::SET;</div>
+<div class="line"><a id="l00064" name="l00064"></a><span class="lineno">   64</span>  <span class="keywordflow">case</span> 2:</div>
+<div class="line"><a id="l00065" name="l00065"></a><span class="lineno">   65</span>    <span class="keywordflow">return</span> hll_mode::HLL;</div>
+<div class="line"><a id="l00066" name="l00066"></a><span class="lineno">   66</span>  <span class="keywordflow">default</span>:</div>
+<div class="line"><a id="l00067" name="l00067"></a><span class="lineno">   67</span>    <span class="keywordflow">throw</span> std::invalid_argument(<span class="stringliteral">&quot;Invalid current sketch mode&quot;</span>);</div>
+<div class="line"><a id="l00068" name="l00068"></a><span class="lineno">   68</span>  }</div>
+<div class="line"><a id="l00069" name="l00069"></a><span class="lineno">   69</span>}</div>
+<div class="line"><a id="l00070" name="l00070"></a><span class="lineno">   70</span> </div>
+<div class="line"><a id="l00071" name="l00071"></a><span class="lineno">   71</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00072" name="l00072"></a><span class="lineno">   72</span>uint8_t HllSketchImpl&lt;A&gt;::makeFlagsByte(<span class="keywordtype">bool</span> compact)<span class="keyword"> const </span>{</div>
+<div class="line"><a id="l00073" name="l00073"></a><span class="lineno">   73</span>  uint8_t flags = 0;</div>
+<div class="line"><a id="l00074" name="l00074"></a><span class="lineno">   74</span>  flags |= (isEmpty() ? hll_constants::EMPTY_FLAG_MASK : 0);</div>
+<div class="line"><a id="l00075" name="l00075"></a><span class="lineno">   75</span>  flags |= (compact ? hll_constants::COMPACT_FLAG_MASK : 0);</div>
+<div class="line"><a id="l00076" name="l00076"></a><span class="lineno">   76</span>  flags |= (isOutOfOrderFlag() ? hll_constants::OUT_OF_ORDER_FLAG_MASK : 0);</div>
+<div class="line"><a id="l00077" name="l00077"></a><span class="lineno">   77</span>  <span class="comment">// bit 32 is reserved: see RESERVED_FLAG_MASK_32 in HllUtil.hpp</span></div>
+<div class="line"><a id="l00078" name="l00078"></a><span class="lineno">   78</span>  <span class="keywordflow">return</span> flags;</div>
+<div class="line"><a id="l00079" name="l00079"></a><span class="lineno">   79</span>}</div>
+<div class="line"><a id="l00080" name="l00080"></a><span class="lineno">   80</span> </div>
+<div class="line"><a id="l00081" name="l00081"></a><span class="lineno">   81</span><span class="comment">// lo2bits = curMode, next 2 bits = tgtHllType</span></div>
+<div class="line"><a id="l00082" name="l00082"></a><span class="lineno">   82</span><span class="comment">// Dec  Lo4Bits TgtHllType, CurMode</span></div>
+<div class="line"><a id="l00083" name="l00083"></a><span class="lineno">   83</span><span class="comment">//   0     0000      HLL_4,    LIST</span></div>
+<div class="line"><a id="l00084" name="l00084"></a><span class="lineno">   84</span><span class="comment">//   1     0001      HLL_4,     SET</span></div>
+<div class="line"><a id="l00085" name="l00085"></a><span class="lineno">   85</span><span class="comment">//   2     0010      HLL_4,     HLL</span></div>
+<div class="line"><a id="l00086" name="l00086"></a><span class="lineno">   86</span><span class="comment">//   4     0100      HLL_6,    LIST</span></div>
+<div class="line"><a id="l00087" name="l00087"></a><span class="lineno">   87</span><span class="comment">//   5     0101      HLL_6,     SET</span></div>
+<div class="line"><a id="l00088" name="l00088"></a><span class="lineno">   88</span><span class="comment">//   6     0110      HLL_6,     HLL</span></div>
+<div class="line"><a id="l00089" name="l00089"></a><span class="lineno">   89</span><span class="comment">//   8     1000      HLL_8,    LIST</span></div>
+<div class="line"><a id="l00090" name="l00090"></a><span class="lineno">   90</span><span class="comment">//   9     1001      HLL_8,     SET</span></div>
+<div class="line"><a id="l00091" name="l00091"></a><span class="lineno">   91</span><span class="comment">//  10     1010      HLL_8,     HLL</span></div>
+<div class="line"><a id="l00092" name="l00092"></a><span class="lineno">   92</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00093" name="l00093"></a><span class="lineno">   93</span>uint8_t HllSketchImpl&lt;A&gt;::makeModeByte()<span class="keyword"> const </span>{</div>
+<div class="line"><a id="l00094" name="l00094"></a><span class="lineno">   94</span>  uint8_t <span class="keywordtype">byte</span> = 0;</div>
+<div class="line"><a id="l00095" name="l00095"></a><span class="lineno">   95</span> </div>
+<div class="line"><a id="l00096" name="l00096"></a><span class="lineno">   96</span>  <span class="keywordflow">switch</span> (mode_) {</div>
+<div class="line"><a id="l00097" name="l00097"></a><span class="lineno">   97</span>  <span class="keywordflow">case</span> LIST:</div>
+<div class="line"><a id="l00098" name="l00098"></a><span class="lineno">   98</span>    <span class="keywordtype">byte</span> = 0;</div>
+<div class="line"><a id="l00099" name="l00099"></a><span class="lineno">   99</span>    <span class="keywordflow">break</span>;</div>
+<div class="line"><a id="l00100" name="l00100"></a><span class="lineno">  100</span>  <span class="keywordflow">case</span> SET:</div>
+<div class="line"><a id="l00101" name="l00101"></a><span class="lineno">  101</span>    <span class="keywordtype">byte</span> = 1;</div>
+<div class="line"><a id="l00102" name="l00102"></a><span class="lineno">  102</span>    <span class="keywordflow">break</span>;</div>
+<div class="line"><a id="l00103" name="l00103"></a><span class="lineno">  103</span>  <span class="keywordflow">case</span> HLL:</div>
+<div class="line"><a id="l00104" name="l00104"></a><span class="lineno">  104</span>    <span class="keywordtype">byte</span> = 2;</div>
+<div class="line"><a id="l00105" name="l00105"></a><span class="lineno">  105</span>    <span class="keywordflow">break</span>;</div>
+<div class="line"><a id="l00106" name="l00106"></a><span class="lineno">  106</span>  }</div>
+<div class="line"><a id="l00107" name="l00107"></a><span class="lineno">  107</span> </div>
+<div class="line"><a id="l00108" name="l00108"></a><span class="lineno">  108</span>  <span class="keywordflow">switch</span> (tgtHllType_) {</div>
+<div class="line"><a id="l00109" name="l00109"></a><span class="lineno">  109</span>  <span class="keywordflow">case</span> <a class="code hl_enumvalue" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4aebdac6704039b95d8b82629cda14b1b9">HLL_4</a>:</div>
+<div class="line"><a id="l00110" name="l00110"></a><span class="lineno">  110</span>    <span class="keywordtype">byte</span> |= (0 &lt;&lt; 2);  <span class="comment">// for completeness</span></div>
+<div class="line"><a id="l00111" name="l00111"></a><span class="lineno">  111</span>    <span class="keywordflow">break</span>;</div>
+<div class="line"><a id="l00112" name="l00112"></a><span class="lineno">  112</span>  <span class="keywordflow">case</span> <a class="code hl_enumvalue" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4a0a2179d612c2ce6887e96279f25d7a77">HLL_6</a>:</div>
+<div class="line"><a id="l00113" name="l00113"></a><span class="lineno">  113</span>    <span class="keywordtype">byte</span> |= (1 &lt;&lt; 2);</div>
+<div class="line"><a id="l00114" name="l00114"></a><span class="lineno">  114</span>    <span class="keywordflow">break</span>;</div>
+<div class="line"><a id="l00115" name="l00115"></a><span class="lineno">  115</span>  <span class="keywordflow">case</span> <a class="code hl_enumvalue" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4a3a5efa79623d3e2ab53f27ef53237c7f">HLL_8</a>:</div>
+<div class="line"><a id="l00116" name="l00116"></a><span class="lineno">  116</span>    <span class="keywordtype">byte</span> |= (2 &lt;&lt; 2); </div>
+<div class="line"><a id="l00117" name="l00117"></a><span class="lineno">  117</span>    <span class="keywordflow">break</span>;</div>
+<div class="line"><a id="l00118" name="l00118"></a><span class="lineno">  118</span>  }</div>
+<div class="line"><a id="l00119" name="l00119"></a><span class="lineno">  119</span> </div>
+<div class="line"><a id="l00120" name="l00120"></a><span class="lineno">  120</span>  <span class="keywordflow">return</span> byte;</div>
+<div class="line"><a id="l00121" name="l00121"></a><span class="lineno">  121</span>}</div>
+<div class="line"><a id="l00122" name="l00122"></a><span class="lineno">  122</span> </div>
+<div class="line"><a id="l00123" name="l00123"></a><span class="lineno">  123</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00124" name="l00124"></a><span class="lineno">  124</span>HllSketchImpl&lt;A&gt;* HllSketchImpl&lt;A&gt;::reset(<span class="keywordtype">bool</span> full_size) {</div>
+<div class="line"><a id="l00125" name="l00125"></a><span class="lineno">  125</span>  <span class="keywordflow">return</span> HllSketchImplFactory&lt;A&gt;::reset(<span class="keyword">this</span>, full_size);</div>
+<div class="line"><a id="l00126" name="l00126"></a><span class="lineno">  126</span>}</div>
+<div class="line"><a id="l00127" name="l00127"></a><span class="lineno">  127</span> </div>
+<div class="line"><a id="l00128" name="l00128"></a><span class="lineno">  128</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00129" name="l00129"></a><span class="lineno">  129</span><a class="code hl_enumeration" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4">target_hll_type</a> HllSketchImpl&lt;A&gt;::getTgtHllType()<span class="keyword"> const </span>{</div>
+<div class="line"><a id="l00130" name="l00130"></a><span class="lineno">  130</span>  <span class="keywordflow">return</span> tgtHllType_;</div>
+<div class="line"><a id="l00131" name="l00131"></a><span class="lineno">  131</span>}</div>
+<div class="line"><a id="l00132" name="l00132"></a><span class="lineno">  132</span> </div>
+<div class="line"><a id="l00133" name="l00133"></a><span class="lineno">  133</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00134" name="l00134"></a><span class="lineno">  134</span>uint8_t HllSketchImpl&lt;A&gt;::getLgConfigK()<span class="keyword"> const </span>{</div>
+<div class="line"><a id="l00135" name="l00135"></a><span class="lineno">  135</span>  <span class="keywordflow">return</span> lgConfigK_;</div>
+<div class="line"><a id="l00136" name="l00136"></a><span class="lineno">  136</span>}</div>
+<div class="line"><a id="l00137" name="l00137"></a><span class="lineno">  137</span> </div>
+<div class="line"><a id="l00138" name="l00138"></a><span class="lineno">  138</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00139" name="l00139"></a><span class="lineno">  139</span>hll_mode HllSketchImpl&lt;A&gt;::getCurMode()<span class="keyword"> const </span>{</div>
+<div class="line"><a id="l00140" name="l00140"></a><span class="lineno">  140</span>  <span class="keywordflow">return</span> mode_;</div>
+<div class="line"><a id="l00141" name="l00141"></a><span class="lineno">  141</span>}</div>
+<div class="line"><a id="l00142" name="l00142"></a><span class="lineno">  142</span> </div>
+<div class="line"><a id="l00143" name="l00143"></a><span class="lineno">  143</span>}</div>
+<div class="line"><a id="l00144" name="l00144"></a><span class="lineno">  144</span> </div>
+<div class="line"><a id="l00145" name="l00145"></a><span class="lineno">  145</span><span class="preprocessor">#endif </span><span class="comment">// _HLLSKETCHIMPL_INTERNAL_HPP_</span></div>
 <div class="ttc" id="anamespacedatasketches_html"><div class="ttname"><a href="namespacedatasketches.html">datasketches</a></div><div class="ttdoc">DataSketches namespace.</div><div class="ttdef"><b>Definition</b> binomial_bounds.hpp:38</div></div>
 <div class="ttc" id="anamespacedatasketches_html_a76c1ad9235877691984d49415bb263e4"><div class="ttname"><a href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4">datasketches::target_hll_type</a></div><div class="ttdeci">target_hll_type</div><div class="ttdoc">Specifies the target type of HLL sketch to be created.</div><div class="ttdef"><b>Definition</b> hll.hpp:72</div></div>
 <div class="ttc" id="anamespacedatasketches_html_a76c1ad9235877691984d49415bb263e4a0a2179d612c2ce6887e96279f25d7a77"><div class="ttname"><a href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4a0a2179d612c2ce6887e96279f25d7a77">datasketches::HLL_6</a></div><div class="ttdeci">@ HLL_6</div><div class="ttdoc">6 bits per entry (fixed size)</div><div class="ttdef"><b>Definition</b> hll.hpp:74</div></div>
diff --git a/docs/master/HllSketchImplFactory_8hpp_source.html b/docs/master/HllSketchImplFactory_8hpp_source.html
index 587aea8..ca7554d 100644
--- a/docs/master/HllSketchImplFactory_8hpp_source.html
+++ b/docs/master/HllSketchImplFactory_8hpp_source.html
@@ -124,120 +124,121 @@ $(document).ready(function() { init_codefold(0); });
 <div class="line"><a id="l00041" name="l00041"></a><span class="lineno">   41</span> </div>
 <div class="line"><a id="l00042" name="l00042"></a><span class="lineno">   42</span>  <span class="keyword">static</span> CouponHashSet&lt;A&gt;* promoteListToSet(<span class="keyword">const</span> CouponList&lt;A&gt;&amp; list);</div>
 <div class="line"><a id="l00043" name="l00043"></a><span class="lineno">   43</span>  <span class="keyword">static</span> HllArray&lt;A&gt;* promoteListOrSetToHll(<span class="keyword">const</span> CouponList&lt;A&gt;&amp; list);</div>
-<div class="line"><a id="l00044" name="l00044"></a><span class="lineno">   44</span>  <span class="keyword">static</span> HllArray&lt;A&gt;* newHll(uint8_t lgConfigK, <a class="code hl_enumeration" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4">target_hll_type</a> tgtHllType, <span class="keywordtype">bool</span> startFullSize, <span class="keyword">const</span> A&amp; allocator);</div>
+<div class="line"><a id="l00044" name="l00044"></a><span class="lineno">   44</span>  <span class="keyword">static</span> HllArray&lt;A&gt;* newHll(uint8_t lgConfigK, <a class="code hl_enumeration" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4">target_hll_type</a> tgtHllType, <span class="keyword">const</span> A&amp; allocator);</div>
 <div class="line"><a id="l00045" name="l00045"></a><span class="lineno">   45</span>  </div>
 <div class="line"><a id="l00046" name="l00046"></a><span class="lineno">   46</span>  <span class="comment">// resets the input impl, deleting the input pointer and returning a new pointer</span></div>
-<div class="line"><a id="l00047" name="l00047"></a><span class="lineno">   47</span>  <span class="keyword">static</span> HllSketchImpl&lt;A&gt;* reset(HllSketchImpl&lt;A&gt;* impl, <span class="keywordtype">bool</span> startFullSize);</div>
-<div class="line"><a id="l00048" name="l00048"></a><span class="lineno">   48</span> </div>
-<div class="line"><a id="l00049" name="l00049"></a><span class="lineno">   49</span>  <span class="keyword">static</span> Hll4Array&lt;A&gt;* convertToHll4(<span class="keyword">const</span> HllArray&lt;A&gt;&amp; srcHllArr);</div>
-<div class="line"><a id="l00050" name="l00050"></a><span class="lineno">   50</span>  <span class="keyword">static</span> Hll6Array&lt;A&gt;* convertToHll6(<span class="keyword">const</span> HllArray&lt;A&gt;&amp; srcHllArr);</div>
-<div class="line"><a id="l00051" name="l00051"></a><span class="lineno">   51</span>  <span class="keyword">static</span> Hll8Array&lt;A&gt;* convertToHll8(<span class="keyword">const</span> HllArray&lt;A&gt;&amp; srcHllArr);</div>
-<div class="line"><a id="l00052" name="l00052"></a><span class="lineno">   52</span>};</div>
-<div class="line"><a id="l00053" name="l00053"></a><span class="lineno">   53</span> </div>
-<div class="line"><a id="l00054" name="l00054"></a><span class="lineno">   54</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00055" name="l00055"></a><span class="lineno">   55</span>CouponHashSet&lt;A&gt;* HllSketchImplFactory&lt;A&gt;::promoteListToSet(<span class="keyword">const</span> CouponList&lt;A&gt;&amp; list) {</div>
-<div class="line"><a id="l00056" name="l00056"></a><span class="lineno">   56</span>  <span class="keyword">using </span>ChsAlloc = <span class="keyword">typename</span> std::allocator_traits&lt;A&gt;::template rebind_alloc&lt;CouponHashSet&lt;A&gt;&gt;;</div>
-<div class="line"><a id="l00057" name="l00057"></a><span class="lineno">   57</span>  CouponHashSet&lt;A&gt;* chSet = <span class="keyword">new</span> (ChsAlloc(list.getAllocator()).allocate(1)) CouponHashSet&lt;A&gt;(list.getLgConfigK(), list.getTgtHllType(), list.getAllocator());</div>
-<div class="line"><a id="l00058" name="l00058"></a><span class="lineno">   58</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> coupon: list) {</div>
-<div class="line"><a id="l00059" name="l00059"></a><span class="lineno">   59</span>    chSet-&gt;couponUpdate(coupon);</div>
-<div class="line"><a id="l00060" name="l00060"></a><span class="lineno">   60</span>  }</div>
-<div class="line"><a id="l00061" name="l00061"></a><span class="lineno">   61</span>  <span class="keywordflow">return</span> chSet;</div>
-<div class="line"><a id="l00062" name="l00062"></a><span class="lineno">   62</span>}</div>
-<div class="line"><a id="l00063" name="l00063"></a><span class="lineno">   63</span> </div>
-<div class="line"><a id="l00064" name="l00064"></a><span class="lineno">   64</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00065" name="l00065"></a><span class="lineno">   65</span>HllArray&lt;A&gt;* HllSketchImplFactory&lt;A&gt;::promoteListOrSetToHll(<span class="keyword">const</span> CouponList&lt;A&gt;&amp; src) {</div>
-<div class="line"><a id="l00066" name="l00066"></a><span class="lineno">   66</span>  HllArray&lt;A&gt;* tgtHllArr = HllSketchImplFactory&lt;A&gt;::newHll(src.getLgConfigK(), src.getTgtHllType(), <span class="keyword">false</span>, src.getAllocator());</div>
-<div class="line"><a id="l00067" name="l00067"></a><span class="lineno">   67</span>  tgtHllArr-&gt;putKxQ0(1 &lt;&lt; src.getLgConfigK());</div>
-<div class="line"><a id="l00068" name="l00068"></a><span class="lineno">   68</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> coupon: src) {</div>
-<div class="line"><a id="l00069" name="l00069"></a><span class="lineno">   69</span>    tgtHllArr-&gt;couponUpdate(coupon);</div>
-<div class="line"><a id="l00070" name="l00070"></a><span class="lineno">   70</span>  }</div>
-<div class="line"><a id="l00071" name="l00071"></a><span class="lineno">   71</span>  tgtHllArr-&gt;putHipAccum(src.getEstimate());</div>
-<div class="line"><a id="l00072" name="l00072"></a><span class="lineno">   72</span>  tgtHllArr-&gt;putOutOfOrderFlag(<span class="keyword">false</span>);</div>
-<div class="line"><a id="l00073" name="l00073"></a><span class="lineno">   73</span>  <span class="keywordflow">return</span> tgtHllArr;</div>
-<div class="line"><a id="l00074" name="l00074"></a><span class="lineno">   74</span>}</div>
-<div class="line"><a id="l00075" name="l00075"></a><span class="lineno">   75</span> </div>
-<div class="line"><a id="l00076" name="l00076"></a><span class="lineno">   76</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00077" name="l00077"></a><span class="lineno">   77</span>HllSketchImpl&lt;A&gt;* HllSketchImplFactory&lt;A&gt;::deserialize(std::istream&amp; is, <span class="keyword">const</span> A&amp; allocator) {</div>
-<div class="line"><a id="l00078" name="l00078"></a><span class="lineno">   78</span>  <span class="comment">// we&#39;ll hand off the sketch based on PreInts so we don&#39;t need</span></div>
-<div class="line"><a id="l00079" name="l00079"></a><span class="lineno">   79</span>  <span class="comment">// to move the stream pointer back and forth -- perhaps somewhat fragile?</span></div>
-<div class="line"><a id="l00080" name="l00080"></a><span class="lineno">   80</span>  <span class="keyword">const</span> uint8_t preInts = <span class="keyword">static_cast&lt;</span>uint8_t<span class="keyword">&gt;</span>(is.peek());</div>
-<div class="line"><a id="l00081" name="l00081"></a><span class="lineno">   81</span>  <span class="keywordflow">if</span> (preInts == hll_constants::HLL_PREINTS) {</div>
-<div class="line"><a id="l00082" name="l00082"></a><span class="lineno">   82</span>    <span class="keywordflow">return</span> HllArray&lt;A&gt;::newHll(is, allocator);</div>
-<div class="line"><a id="l00083" name="l00083"></a><span class="lineno">   83</span>  } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (preInts == hll_constants::HASH_SET_PREINTS) {</div>
-<div class="line"><a id="l00084" name="l00084"></a><span class="lineno">   84</span>    <span class="keywordflow">return</span> CouponHashSet&lt;A&gt;::newSet(is, allocator);</div>
-<div class="line"><a id="l00085" name="l00085"></a><span class="lineno">   85</span>  } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (preInts == hll_constants::LIST_PREINTS) {</div>
-<div class="line"><a id="l00086" name="l00086"></a><span class="lineno">   86</span>    <span class="keywordflow">return</span> CouponList&lt;A&gt;::newList(is, allocator);</div>
-<div class="line"><a id="l00087" name="l00087"></a><span class="lineno">   87</span>  } <span class="keywordflow">else</span> {</div>
-<div class="line"><a id="l00088" name="l00088"></a><span class="lineno">   88</span>    <span class="keywordflow">throw</span> std::invalid_argument(<span class="stringliteral">&quot;Attempt to deserialize unknown object type&quot;</span>);</div>
-<div class="line"><a id="l00089" name="l00089"></a><span class="lineno">   89</span>  }</div>
-<div class="line"><a id="l00090" name="l00090"></a><span class="lineno">   90</span>}</div>
-<div class="line"><a id="l00091" name="l00091"></a><span class="lineno">   91</span> </div>
-<div class="line"><a id="l00092" name="l00092"></a><span class="lineno">   92</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00093" name="l00093"></a><span class="lineno">   93</span>HllSketchImpl&lt;A&gt;* HllSketchImplFactory&lt;A&gt;::deserialize(<span class="keyword">const</span> <span class="keywordtype">void</span>* bytes, <span class="keywordtype">size_t</span> len, <span class="keyword">const</span> A&amp; allocator) {</div>
-<div class="line"><a id="l00094" name="l00094"></a><span class="lineno">   94</span>  <span class="comment">// read current mode directly</span></div>
-<div class="line"><a id="l00095" name="l00095"></a><span class="lineno">   95</span>  <span class="keyword">const</span> uint8_t preInts = <span class="keyword">static_cast&lt;</span><span class="keyword">const </span>uint8_t*<span class="keyword">&gt;</span>(bytes)[0];</div>
-<div class="line"><a id="l00096" name="l00096"></a><span class="lineno">   96</span>  <span class="keywordflow">if</span> (preInts == hll_constants::HLL_PREINTS) {</div>
-<div class="line"><a id="l00097" name="l00097"></a><span class="lineno">   97</span>    <span class="keywordflow">return</span> HllArray&lt;A&gt;::newHll(bytes, len, allocator);</div>
-<div class="line"><a id="l00098" name="l00098"></a><span class="lineno">   98</span>  } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (preInts == hll_constants::HASH_SET_PREINTS) {</div>
-<div class="line"><a id="l00099" name="l00099"></a><span class="lineno">   99</span>    <span class="keywordflow">return</span> CouponHashSet&lt;A&gt;::newSet(bytes, len, allocator);</div>
-<div class="line"><a id="l00100" name="l00100"></a><span class="lineno">  100</span>  } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (preInts == hll_constants::LIST_PREINTS) {</div>
-<div class="line"><a id="l00101" name="l00101"></a><span class="lineno">  101</span>    <span class="keywordflow">return</span> CouponList&lt;A&gt;::newList(bytes, len, allocator);</div>
-<div class="line"><a id="l00102" name="l00102"></a><span class="lineno">  102</span>  } <span class="keywordflow">else</span> {</div>
-<div class="line"><a id="l00103" name="l00103"></a><span class="lineno">  103</span>    <span class="keywordflow">throw</span> std::invalid_argument(<span class="stringliteral">&quot;Attempt to deserialize unknown object type&quot;</span>);</div>
-<div class="line"><a id="l00104" name="l00104"></a><span class="lineno">  104</span>  }</div>
-<div class="line"><a id="l00105" name="l00105"></a><span class="lineno">  105</span>}</div>
-<div class="line"><a id="l00106" name="l00106"></a><span class="lineno">  106</span> </div>
-<div class="line"><a id="l00107" name="l00107"></a><span class="lineno">  107</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00108" name="l00108"></a><span class="lineno">  108</span>HllArray&lt;A&gt;* HllSketchImplFactory&lt;A&gt;::newHll(uint8_t lgConfigK, <a class="code hl_enumeration" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4">target_hll_type</a> tgtHllType, <span class="keywordtype">bool</span> startFullSize, <span class="keyword">const</span> A&amp; allocator) {</div>
-<div class="line"><a id="l00109" name="l00109"></a><span class="lineno">  109</span>  <span class="keywordflow">switch</span> (tgtHllType) {</div>
-<div class="line"><a id="l00110" name="l00110"></a><span class="lineno">  110</span>    <span class="keywordflow">case</span> <a class="code hl_enumvalue" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4a3a5efa79623d3e2ab53f27ef53237c7f">HLL_8</a>:</div>
-<div class="line"><a id="l00111" name="l00111"></a><span class="lineno">  111</span>      <span class="keyword">using </span>Hll8Alloc = <span class="keyword">typename</span> std::allocator_traits&lt;A&gt;::template rebind_alloc&lt;Hll8Array&lt;A&gt;&gt;;</div>
-<div class="line"><a id="l00112" name="l00112"></a><span class="lineno">  112</span>      <span class="keywordflow">return</span> <span class="keyword">new</span> (Hll8Alloc(allocator).allocate(1)) Hll8Array&lt;A&gt;(lgConfigK, startFullSize, allocator);</div>
-<div class="line"><a id="l00113" name="l00113"></a><span class="lineno">  113</span>    <span class="keywordflow">case</span> <a class="code hl_enumvalue" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4a0a2179d612c2ce6887e96279f25d7a77">HLL_6</a>:</div>
-<div class="line"><a id="l00114" name="l00114"></a><span class="lineno">  114</span>      <span class="keyword">using </span>Hll6Alloc = <span class="keyword">typename</span> std::allocator_traits&lt;A&gt;::template rebind_alloc&lt;Hll6Array&lt;A&gt;&gt;;</div>
-<div class="line"><a id="l00115" name="l00115"></a><span class="lineno">  115</span>      <span class="keywordflow">return</span> <span class="keyword">new</span> (Hll6Alloc(allocator).allocate(1)) Hll6Array&lt;A&gt;(lgConfigK, startFullSize, allocator);</div>
-<div class="line"><a id="l00116" name="l00116"></a><span class="lineno">  116</span>    <span class="keywordflow">case</span> <a class="code hl_enumvalue" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4aebdac6704039b95d8b82629cda14b1b9">HLL_4</a>:</div>
-<div class="line"><a id="l00117" name="l00117"></a><span class="lineno">  117</span>      <span class="keyword">using </span>Hll4Alloc = <span class="keyword">typename</span> std::allocator_traits&lt;A&gt;::template rebind_alloc&lt;Hll4Array&lt;A&gt;&gt;;</div>
-<div class="line"><a id="l00118" name="l00118"></a><span class="lineno">  118</span>      <span class="keywordflow">return</span> <span class="keyword">new</span> (Hll4Alloc(allocator).allocate(1)) Hll4Array&lt;A&gt;(lgConfigK, startFullSize, allocator);</div>
-<div class="line"><a id="l00119" name="l00119"></a><span class="lineno">  119</span>  }</div>
-<div class="line"><a id="l00120" name="l00120"></a><span class="lineno">  120</span>  <span class="keywordflow">throw</span> std::logic_error(<span class="stringliteral">&quot;Invalid target_hll_type&quot;</span>);</div>
-<div class="line"><a id="l00121" name="l00121"></a><span class="lineno">  121</span>}</div>
-<div class="line"><a id="l00122" name="l00122"></a><span class="lineno">  122</span> </div>
-<div class="line"><a id="l00123" name="l00123"></a><span class="lineno">  123</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00124" name="l00124"></a><span class="lineno">  124</span>HllSketchImpl&lt;A&gt;* HllSketchImplFactory&lt;A&gt;::reset(HllSketchImpl&lt;A&gt;* impl, <span class="keywordtype">bool</span> startFullSize) {</div>
-<div class="line"><a id="l00125" name="l00125"></a><span class="lineno">  125</span>  <span class="keywordflow">if</span> (startFullSize) {</div>
-<div class="line"><a id="l00126" name="l00126"></a><span class="lineno">  126</span>    HllArray&lt;A&gt;* hll = newHll(impl-&gt;getLgConfigK(), impl-&gt;getTgtHllType(), startFullSize, impl-&gt;getAllocator());</div>
-<div class="line"><a id="l00127" name="l00127"></a><span class="lineno">  127</span>    impl-&gt;get_deleter()(impl);</div>
-<div class="line"><a id="l00128" name="l00128"></a><span class="lineno">  128</span>    <span class="keywordflow">return</span> hll;</div>
-<div class="line"><a id="l00129" name="l00129"></a><span class="lineno">  129</span>  } <span class="keywordflow">else</span> {</div>
-<div class="line"><a id="l00130" name="l00130"></a><span class="lineno">  130</span>    <span class="keyword">using </span>ClAlloc = <span class="keyword">typename</span> std::allocator_traits&lt;A&gt;::template rebind_alloc&lt;CouponList&lt;A&gt;&gt;;</div>
-<div class="line"><a id="l00131" name="l00131"></a><span class="lineno">  131</span>    CouponList&lt;A&gt;* cl = <span class="keyword">new</span> (ClAlloc(impl-&gt;getAllocator()).allocate(1)) CouponList&lt;A&gt;(impl-&gt;getLgConfigK(), impl-&gt;getTgtHllType(), hll_mode::LIST, impl-&gt;getAllocator());</div>
-<div class="line"><a id="l00132" name="l00132"></a><span class="lineno">  132</span>    impl-&gt;get_deleter()(impl);</div>
-<div class="line"><a id="l00133" name="l00133"></a><span class="lineno">  133</span>    <span class="keywordflow">return</span> cl;</div>
-<div class="line"><a id="l00134" name="l00134"></a><span class="lineno">  134</span>  }</div>
-<div class="line"><a id="l00135" name="l00135"></a><span class="lineno">  135</span>}</div>
-<div class="line"><a id="l00136" name="l00136"></a><span class="lineno">  136</span> </div>
-<div class="line"><a id="l00137" name="l00137"></a><span class="lineno">  137</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00138" name="l00138"></a><span class="lineno">  138</span>Hll4Array&lt;A&gt;* HllSketchImplFactory&lt;A&gt;::convertToHll4(<span class="keyword">const</span> HllArray&lt;A&gt;&amp; srcHllArr) {</div>
-<div class="line"><a id="l00139" name="l00139"></a><span class="lineno">  139</span>  <span class="keyword">using </span>Hll4Alloc = <span class="keyword">typename</span> std::allocator_traits&lt;A&gt;::template rebind_alloc&lt;Hll4Array&lt;A&gt;&gt;;</div>
-<div class="line"><a id="l00140" name="l00140"></a><span class="lineno">  140</span>  <span class="keywordflow">return</span> <span class="keyword">new</span> (Hll4Alloc(srcHllArr.getAllocator()).allocate(1)) Hll4Array&lt;A&gt;(srcHllArr);</div>
-<div class="line"><a id="l00141" name="l00141"></a><span class="lineno">  141</span>}</div>
-<div class="line"><a id="l00142" name="l00142"></a><span class="lineno">  142</span> </div>
-<div class="line"><a id="l00143" name="l00143"></a><span class="lineno">  143</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00144" name="l00144"></a><span class="lineno">  144</span>Hll6Array&lt;A&gt;* HllSketchImplFactory&lt;A&gt;::convertToHll6(<span class="keyword">const</span> HllArray&lt;A&gt;&amp; srcHllArr) {</div>
-<div class="line"><a id="l00145" name="l00145"></a><span class="lineno">  145</span>  <span class="keyword">using </span>Hll6Alloc = <span class="keyword">typename</span> std::allocator_traits&lt;A&gt;::template rebind_alloc&lt;Hll6Array&lt;A&gt;&gt;;</div>
-<div class="line"><a id="l00146" name="l00146"></a><span class="lineno">  146</span>  <span class="keywordflow">return</span> <span class="keyword">new</span> (Hll6Alloc(srcHllArr.getAllocator()).allocate(1)) Hll6Array&lt;A&gt;(srcHllArr);</div>
-<div class="line"><a id="l00147" name="l00147"></a><span class="lineno">  147</span>}</div>
-<div class="line"><a id="l00148" name="l00148"></a><span class="lineno">  148</span> </div>
-<div class="line"><a id="l00149" name="l00149"></a><span class="lineno">  149</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00150" name="l00150"></a><span class="lineno">  150</span>Hll8Array&lt;A&gt;* HllSketchImplFactory&lt;A&gt;::convertToHll8(<span class="keyword">const</span> HllArray&lt;A&gt;&amp; srcHllArr) {</div>
-<div class="line"><a id="l00151" name="l00151"></a><span class="lineno">  151</span>  <span class="keyword">using </span>Hll8Alloc = <span class="keyword">typename</span> std::allocator_traits&lt;A&gt;::template rebind_alloc&lt;Hll8Array&lt;A&gt;&gt;;</div>
-<div class="line"><a id="l00152" name="l00152"></a><span class="lineno">  152</span>  <span class="keywordflow">return</span> <span class="keyword">new</span> (Hll8Alloc(srcHllArr.getAllocator()).allocate(1)) Hll8Array&lt;A&gt;(srcHllArr);</div>
-<div class="line"><a id="l00153" name="l00153"></a><span class="lineno">  153</span>}</div>
-<div class="line"><a id="l00154" name="l00154"></a><span class="lineno">  154</span> </div>
-<div class="line"><a id="l00155" name="l00155"></a><span class="lineno">  155</span>}</div>
-<div class="line"><a id="l00156" name="l00156"></a><span class="lineno">  156</span> </div>
-<div class="line"><a id="l00157" name="l00157"></a><span class="lineno">  157</span><span class="preprocessor">#endif </span><span class="comment">/* _HLLSKETCHIMPLFACTORY_HPP_ */</span><span class="preprocessor"></span></div>
+<div class="line"><a id="l00047" name="l00047"></a><span class="lineno">   47</span>  <span class="comment">// full_size selects the state to reset to: an empty HLL array, or LIST (coupon) mode</span></div>
+<div class="line"><a id="l00048" name="l00048"></a><span class="lineno">   48</span>  <span class="keyword">static</span> HllSketchImpl&lt;A&gt;* reset(HllSketchImpl&lt;A&gt;* impl, <span class="keywordtype">bool</span> full_size);</div>
+<div class="line"><a id="l00049" name="l00049"></a><span class="lineno">   49</span> </div>
+<div class="line"><a id="l00050" name="l00050"></a><span class="lineno">   50</span>  <span class="keyword">static</span> Hll4Array&lt;A&gt;* convertToHll4(<span class="keyword">const</span> HllArray&lt;A&gt;&amp; srcHllArr);</div>
+<div class="line"><a id="l00051" name="l00051"></a><span class="lineno">   51</span>  <span class="keyword">static</span> Hll6Array&lt;A&gt;* convertToHll6(<span class="keyword">const</span> HllArray&lt;A&gt;&amp; srcHllArr);</div>
+<div class="line"><a id="l00052" name="l00052"></a><span class="lineno">   52</span>  <span class="keyword">static</span> Hll8Array&lt;A&gt;* convertToHll8(<span class="keyword">const</span> HllArray&lt;A&gt;&amp; srcHllArr);</div>
+<div class="line"><a id="l00053" name="l00053"></a><span class="lineno">   53</span>};</div>
+<div class="line"><a id="l00054" name="l00054"></a><span class="lineno">   54</span> </div>
+<div class="line"><a id="l00055" name="l00055"></a><span class="lineno">   55</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00056" name="l00056"></a><span class="lineno">   56</span>CouponHashSet&lt;A&gt;* HllSketchImplFactory&lt;A&gt;::promoteListToSet(<span class="keyword">const</span> CouponList&lt;A&gt;&amp; list) {</div>
+<div class="line"><a id="l00057" name="l00057"></a><span class="lineno">   57</span>  <span class="keyword">using </span>ChsAlloc = <span class="keyword">typename</span> std::allocator_traits&lt;A&gt;::template rebind_alloc&lt;CouponHashSet&lt;A&gt;&gt;;</div>
+<div class="line"><a id="l00058" name="l00058"></a><span class="lineno">   58</span>  CouponHashSet&lt;A&gt;* chSet = <span class="keyword">new</span> (ChsAlloc(list.getAllocator()).allocate(1)) CouponHashSet&lt;A&gt;(list.getLgConfigK(), list.getTgtHllType(), list.getAllocator());</div>
+<div class="line"><a id="l00059" name="l00059"></a><span class="lineno">   59</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> coupon: list) {</div>
+<div class="line"><a id="l00060" name="l00060"></a><span class="lineno">   60</span>    chSet-&gt;couponUpdate(coupon);</div>
+<div class="line"><a id="l00061" name="l00061"></a><span class="lineno">   61</span>  }</div>
+<div class="line"><a id="l00062" name="l00062"></a><span class="lineno">   62</span>  <span class="keywordflow">return</span> chSet;</div>
+<div class="line"><a id="l00063" name="l00063"></a><span class="lineno">   63</span>}</div>
+<div class="line"><a id="l00064" name="l00064"></a><span class="lineno">   64</span> </div>
+<div class="line"><a id="l00065" name="l00065"></a><span class="lineno">   65</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00066" name="l00066"></a><span class="lineno">   66</span>HllArray&lt;A&gt;* HllSketchImplFactory&lt;A&gt;::promoteListOrSetToHll(<span class="keyword">const</span> CouponList&lt;A&gt;&amp; src) {</div>
+<div class="line"><a id="l00067" name="l00067"></a><span class="lineno">   67</span>  HllArray&lt;A&gt;* tgtHllArr = HllSketchImplFactory&lt;A&gt;::newHll(src.getLgConfigK(), src.getTgtHllType(), src.getAllocator());</div>
+<div class="line"><a id="l00068" name="l00068"></a><span class="lineno">   68</span>  tgtHllArr-&gt;putKxQ0(1 &lt;&lt; src.getLgConfigK());</div>
+<div class="line"><a id="l00069" name="l00069"></a><span class="lineno">   69</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> coupon: src) {</div>
+<div class="line"><a id="l00070" name="l00070"></a><span class="lineno">   70</span>    tgtHllArr-&gt;couponUpdate(coupon);</div>
+<div class="line"><a id="l00071" name="l00071"></a><span class="lineno">   71</span>  }</div>
+<div class="line"><a id="l00072" name="l00072"></a><span class="lineno">   72</span>  tgtHllArr-&gt;putHipAccum(src.getEstimate());</div>
+<div class="line"><a id="l00073" name="l00073"></a><span class="lineno">   73</span>  tgtHllArr-&gt;putOutOfOrderFlag(<span class="keyword">false</span>);</div>
+<div class="line"><a id="l00074" name="l00074"></a><span class="lineno">   74</span>  <span class="keywordflow">return</span> tgtHllArr;</div>
+<div class="line"><a id="l00075" name="l00075"></a><span class="lineno">   75</span>}</div>
+<div class="line"><a id="l00076" name="l00076"></a><span class="lineno">   76</span> </div>
+<div class="line"><a id="l00077" name="l00077"></a><span class="lineno">   77</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00078" name="l00078"></a><span class="lineno">   78</span>HllSketchImpl&lt;A&gt;* HllSketchImplFactory&lt;A&gt;::deserialize(std::istream&amp; is, <span class="keyword">const</span> A&amp; allocator) {</div>
+<div class="line"><a id="l00079" name="l00079"></a><span class="lineno">   79</span>  <span class="comment">// we&#39;ll hand off the sketch based on PreInts so we don&#39;t need</span></div>
+<div class="line"><a id="l00080" name="l00080"></a><span class="lineno">   80</span>  <span class="comment">// to move the stream pointer back and forth -- perhaps somewhat fragile?</span></div>
+<div class="line"><a id="l00081" name="l00081"></a><span class="lineno">   81</span>  <span class="keyword">const</span> uint8_t preInts = <span class="keyword">static_cast&lt;</span>uint8_t<span class="keyword">&gt;</span>(is.peek());</div>
+<div class="line"><a id="l00082" name="l00082"></a><span class="lineno">   82</span>  <span class="keywordflow">if</span> (preInts == hll_constants::HLL_PREINTS) {</div>
+<div class="line"><a id="l00083" name="l00083"></a><span class="lineno">   83</span>    <span class="keywordflow">return</span> HllArray&lt;A&gt;::newHll(is, allocator);</div>
+<div class="line"><a id="l00084" name="l00084"></a><span class="lineno">   84</span>  } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (preInts == hll_constants::HASH_SET_PREINTS) {</div>
+<div class="line"><a id="l00085" name="l00085"></a><span class="lineno">   85</span>    <span class="keywordflow">return</span> CouponHashSet&lt;A&gt;::newSet(is, allocator);</div>
+<div class="line"><a id="l00086" name="l00086"></a><span class="lineno">   86</span>  } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (preInts == hll_constants::LIST_PREINTS) {</div>
+<div class="line"><a id="l00087" name="l00087"></a><span class="lineno">   87</span>    <span class="keywordflow">return</span> CouponList&lt;A&gt;::newList(is, allocator);</div>
+<div class="line"><a id="l00088" name="l00088"></a><span class="lineno">   88</span>  } <span class="keywordflow">else</span> {</div>
+<div class="line"><a id="l00089" name="l00089"></a><span class="lineno">   89</span>    <span class="keywordflow">throw</span> std::invalid_argument(<span class="stringliteral">&quot;Attempt to deserialize unknown object type&quot;</span>);</div>
+<div class="line"><a id="l00090" name="l00090"></a><span class="lineno">   90</span>  }</div>
+<div class="line"><a id="l00091" name="l00091"></a><span class="lineno">   91</span>}</div>
+<div class="line"><a id="l00092" name="l00092"></a><span class="lineno">   92</span> </div>
+<div class="line"><a id="l00093" name="l00093"></a><span class="lineno">   93</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00094" name="l00094"></a><span class="lineno">   94</span>HllSketchImpl&lt;A&gt;* HllSketchImplFactory&lt;A&gt;::deserialize(<span class="keyword">const</span> <span class="keywordtype">void</span>* bytes, <span class="keywordtype">size_t</span> len, <span class="keyword">const</span> A&amp; allocator) {</div>
+<div class="line"><a id="l00095" name="l00095"></a><span class="lineno">   95</span>  <span class="comment">// read current mode directly</span></div>
+<div class="line"><a id="l00096" name="l00096"></a><span class="lineno">   96</span>  <span class="keyword">const</span> uint8_t preInts = <span class="keyword">static_cast&lt;</span><span class="keyword">const </span>uint8_t*<span class="keyword">&gt;</span>(bytes)[0];</div>
+<div class="line"><a id="l00097" name="l00097"></a><span class="lineno">   97</span>  <span class="keywordflow">if</span> (preInts == hll_constants::HLL_PREINTS) {</div>
+<div class="line"><a id="l00098" name="l00098"></a><span class="lineno">   98</span>    <span class="keywordflow">return</span> HllArray&lt;A&gt;::newHll(bytes, len, allocator);</div>
+<div class="line"><a id="l00099" name="l00099"></a><span class="lineno">   99</span>  } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (preInts == hll_constants::HASH_SET_PREINTS) {</div>
+<div class="line"><a id="l00100" name="l00100"></a><span class="lineno">  100</span>    <span class="keywordflow">return</span> CouponHashSet&lt;A&gt;::newSet(bytes, len, allocator);</div>
+<div class="line"><a id="l00101" name="l00101"></a><span class="lineno">  101</span>  } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (preInts == hll_constants::LIST_PREINTS) {</div>
+<div class="line"><a id="l00102" name="l00102"></a><span class="lineno">  102</span>    <span class="keywordflow">return</span> CouponList&lt;A&gt;::newList(bytes, len, allocator);</div>
+<div class="line"><a id="l00103" name="l00103"></a><span class="lineno">  103</span>  } <span class="keywordflow">else</span> {</div>
+<div class="line"><a id="l00104" name="l00104"></a><span class="lineno">  104</span>    <span class="keywordflow">throw</span> std::invalid_argument(<span class="stringliteral">&quot;Attempt to deserialize unknown object type&quot;</span>);</div>
+<div class="line"><a id="l00105" name="l00105"></a><span class="lineno">  105</span>  }</div>
+<div class="line"><a id="l00106" name="l00106"></a><span class="lineno">  106</span>}</div>
+<div class="line"><a id="l00107" name="l00107"></a><span class="lineno">  107</span> </div>
+<div class="line"><a id="l00108" name="l00108"></a><span class="lineno">  108</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00109" name="l00109"></a><span class="lineno">  109</span>HllArray&lt;A&gt;* HllSketchImplFactory&lt;A&gt;::newHll(uint8_t lgConfigK, <a class="code hl_enumeration" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4">target_hll_type</a> tgtHllType, <span class="keyword">const</span> A&amp; allocator) {</div>
+<div class="line"><a id="l00110" name="l00110"></a><span class="lineno">  110</span>  <span class="keywordflow">switch</span> (tgtHllType) {</div>
+<div class="line"><a id="l00111" name="l00111"></a><span class="lineno">  111</span>    <span class="keywordflow">case</span> <a class="code hl_enumvalue" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4a3a5efa79623d3e2ab53f27ef53237c7f">HLL_8</a>:</div>
+<div class="line"><a id="l00112" name="l00112"></a><span class="lineno">  112</span>      <span class="keyword">using </span>Hll8Alloc = <span class="keyword">typename</span> std::allocator_traits&lt;A&gt;::template rebind_alloc&lt;Hll8Array&lt;A&gt;&gt;;</div>
+<div class="line"><a id="l00113" name="l00113"></a><span class="lineno">  113</span>      <span class="keywordflow">return</span> <span class="keyword">new</span> (Hll8Alloc(allocator).allocate(1)) Hll8Array&lt;A&gt;(lgConfigK, allocator);</div>
+<div class="line"><a id="l00114" name="l00114"></a><span class="lineno">  114</span>    <span class="keywordflow">case</span> <a class="code hl_enumvalue" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4a0a2179d612c2ce6887e96279f25d7a77">HLL_6</a>:</div>
+<div class="line"><a id="l00115" name="l00115"></a><span class="lineno">  115</span>      <span class="keyword">using </span>Hll6Alloc = <span class="keyword">typename</span> std::allocator_traits&lt;A&gt;::template rebind_alloc&lt;Hll6Array&lt;A&gt;&gt;;</div>
+<div class="line"><a id="l00116" name="l00116"></a><span class="lineno">  116</span>      <span class="keywordflow">return</span> <span class="keyword">new</span> (Hll6Alloc(allocator).allocate(1)) Hll6Array&lt;A&gt;(lgConfigK, allocator);</div>
+<div class="line"><a id="l00117" name="l00117"></a><span class="lineno">  117</span>    <span class="keywordflow">case</span> <a class="code hl_enumvalue" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4aebdac6704039b95d8b82629cda14b1b9">HLL_4</a>:</div>
+<div class="line"><a id="l00118" name="l00118"></a><span class="lineno">  118</span>      <span class="keyword">using </span>Hll4Alloc = <span class="keyword">typename</span> std::allocator_traits&lt;A&gt;::template rebind_alloc&lt;Hll4Array&lt;A&gt;&gt;;</div>
+<div class="line"><a id="l00119" name="l00119"></a><span class="lineno">  119</span>      <span class="keywordflow">return</span> <span class="keyword">new</span> (Hll4Alloc(allocator).allocate(1)) Hll4Array&lt;A&gt;(lgConfigK, allocator);</div>
+<div class="line"><a id="l00120" name="l00120"></a><span class="lineno">  120</span>  }</div>
+<div class="line"><a id="l00121" name="l00121"></a><span class="lineno">  121</span>  <span class="keywordflow">throw</span> std::logic_error(<span class="stringliteral">&quot;Invalid target_hll_type&quot;</span>);</div>
+<div class="line"><a id="l00122" name="l00122"></a><span class="lineno">  122</span>}</div>
+<div class="line"><a id="l00123" name="l00123"></a><span class="lineno">  123</span> </div>
+<div class="line"><a id="l00124" name="l00124"></a><span class="lineno">  124</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00125" name="l00125"></a><span class="lineno">  125</span>HllSketchImpl&lt;A&gt;* HllSketchImplFactory&lt;A&gt;::reset(HllSketchImpl&lt;A&gt;* impl, <span class="keywordtype">bool</span> full_size) {</div>
+<div class="line"><a id="l00126" name="l00126"></a><span class="lineno">  126</span>  <span class="keywordflow">if</span> (full_size) {</div>
+<div class="line"><a id="l00127" name="l00127"></a><span class="lineno">  127</span>    HllArray&lt;A&gt;* hll = newHll(impl-&gt;getLgConfigK(), impl-&gt;getTgtHllType(), impl-&gt;getAllocator());</div>
+<div class="line"><a id="l00128" name="l00128"></a><span class="lineno">  128</span>    impl-&gt;get_deleter()(impl);</div>
+<div class="line"><a id="l00129" name="l00129"></a><span class="lineno">  129</span>    <span class="keywordflow">return</span> hll;</div>
+<div class="line"><a id="l00130" name="l00130"></a><span class="lineno">  130</span>  } <span class="keywordflow">else</span> {</div>
+<div class="line"><a id="l00131" name="l00131"></a><span class="lineno">  131</span>    <span class="keyword">using </span>ClAlloc = <span class="keyword">typename</span> std::allocator_traits&lt;A&gt;::template rebind_alloc&lt;CouponList&lt;A&gt;&gt;;</div>
+<div class="line"><a id="l00132" name="l00132"></a><span class="lineno">  132</span>    CouponList&lt;A&gt;* cl = <span class="keyword">new</span> (ClAlloc(impl-&gt;getAllocator()).allocate(1)) CouponList&lt;A&gt;(impl-&gt;getLgConfigK(), impl-&gt;getTgtHllType(), hll_mode::LIST, impl-&gt;getAllocator());</div>
+<div class="line"><a id="l00133" name="l00133"></a><span class="lineno">  133</span>    impl-&gt;get_deleter()(impl);</div>
+<div class="line"><a id="l00134" name="l00134"></a><span class="lineno">  134</span>    <span class="keywordflow">return</span> cl;</div>
+<div class="line"><a id="l00135" name="l00135"></a><span class="lineno">  135</span>  }</div>
+<div class="line"><a id="l00136" name="l00136"></a><span class="lineno">  136</span>}</div>
+<div class="line"><a id="l00137" name="l00137"></a><span class="lineno">  137</span> </div>
+<div class="line"><a id="l00138" name="l00138"></a><span class="lineno">  138</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00139" name="l00139"></a><span class="lineno">  139</span>Hll4Array&lt;A&gt;* HllSketchImplFactory&lt;A&gt;::convertToHll4(<span class="keyword">const</span> HllArray&lt;A&gt;&amp; srcHllArr) {</div>
+<div class="line"><a id="l00140" name="l00140"></a><span class="lineno">  140</span>  <span class="keyword">using </span>Hll4Alloc = <span class="keyword">typename</span> std::allocator_traits&lt;A&gt;::template rebind_alloc&lt;Hll4Array&lt;A&gt;&gt;;</div>
+<div class="line"><a id="l00141" name="l00141"></a><span class="lineno">  141</span>  <span class="keywordflow">return</span> <span class="keyword">new</span> (Hll4Alloc(srcHllArr.getAllocator()).allocate(1)) Hll4Array&lt;A&gt;(srcHllArr);</div>
+<div class="line"><a id="l00142" name="l00142"></a><span class="lineno">  142</span>}</div>
+<div class="line"><a id="l00143" name="l00143"></a><span class="lineno">  143</span> </div>
+<div class="line"><a id="l00144" name="l00144"></a><span class="lineno">  144</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00145" name="l00145"></a><span class="lineno">  145</span>Hll6Array&lt;A&gt;* HllSketchImplFactory&lt;A&gt;::convertToHll6(<span class="keyword">const</span> HllArray&lt;A&gt;&amp; srcHllArr) {</div>
+<div class="line"><a id="l00146" name="l00146"></a><span class="lineno">  146</span>  <span class="keyword">using </span>Hll6Alloc = <span class="keyword">typename</span> std::allocator_traits&lt;A&gt;::template rebind_alloc&lt;Hll6Array&lt;A&gt;&gt;;</div>
+<div class="line"><a id="l00147" name="l00147"></a><span class="lineno">  147</span>  <span class="keywordflow">return</span> <span class="keyword">new</span> (Hll6Alloc(srcHllArr.getAllocator()).allocate(1)) Hll6Array&lt;A&gt;(srcHllArr);</div>
+<div class="line"><a id="l00148" name="l00148"></a><span class="lineno">  148</span>}</div>
+<div class="line"><a id="l00149" name="l00149"></a><span class="lineno">  149</span> </div>
+<div class="line"><a id="l00150" name="l00150"></a><span class="lineno">  150</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00151" name="l00151"></a><span class="lineno">  151</span>Hll8Array&lt;A&gt;* HllSketchImplFactory&lt;A&gt;::convertToHll8(<span class="keyword">const</span> HllArray&lt;A&gt;&amp; srcHllArr) {</div>
+<div class="line"><a id="l00152" name="l00152"></a><span class="lineno">  152</span>  <span class="keyword">using </span>Hll8Alloc = <span class="keyword">typename</span> std::allocator_traits&lt;A&gt;::template rebind_alloc&lt;Hll8Array&lt;A&gt;&gt;;</div>
+<div class="line"><a id="l00153" name="l00153"></a><span class="lineno">  153</span>  <span class="keywordflow">return</span> <span class="keyword">new</span> (Hll8Alloc(srcHllArr.getAllocator()).allocate(1)) Hll8Array&lt;A&gt;(srcHllArr);</div>
+<div class="line"><a id="l00154" name="l00154"></a><span class="lineno">  154</span>}</div>
+<div class="line"><a id="l00155" name="l00155"></a><span class="lineno">  155</span> </div>
+<div class="line"><a id="l00156" name="l00156"></a><span class="lineno">  156</span>}</div>
+<div class="line"><a id="l00157" name="l00157"></a><span class="lineno">  157</span> </div>
+<div class="line"><a id="l00158" name="l00158"></a><span class="lineno">  158</span><span class="preprocessor">#endif </span><span class="comment">/* _HLLSKETCHIMPLFACTORY_HPP_ */</span><span class="preprocessor"></span></div>
 <div class="ttc" id="anamespacedatasketches_html"><div class="ttname"><a href="namespacedatasketches.html">datasketches</a></div><div class="ttdoc">DataSketches namespace.</div><div class="ttdef"><b>Definition</b> binomial_bounds.hpp:38</div></div>
 <div class="ttc" id="anamespacedatasketches_html_a76c1ad9235877691984d49415bb263e4"><div class="ttname"><a href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4">datasketches::target_hll_type</a></div><div class="ttdeci">target_hll_type</div><div class="ttdoc">Specifies the target type of HLL sketch to be created.</div><div class="ttdef"><b>Definition</b> hll.hpp:72</div></div>
 <div class="ttc" id="anamespacedatasketches_html_a76c1ad9235877691984d49415bb263e4a0a2179d612c2ce6887e96279f25d7a77"><div class="ttname"><a href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4a0a2179d612c2ce6887e96279f25d7a77">datasketches::HLL_6</a></div><div class="ttdeci">@ HLL_6</div><div class="ttdoc">6 bits per entry (fixed size)</div><div class="ttdef"><b>Definition</b> hll.hpp:74</div></div>
diff --git a/docs/master/HllSketchImpl_8hpp_source.html b/docs/master/HllSketchImpl_8hpp_source.html
index 32c23fa..2d3b2d6 100644
--- a/docs/master/HllSketchImpl_8hpp_source.html
+++ b/docs/master/HllSketchImpl_8hpp_source.html
@@ -116,7 +116,7 @@ $(document).ready(function() { init_codefold(0); });
 <div class="line"><a id="l00032" name="l00032"></a><span class="lineno">   32</span>  <span class="keyword">public</span>:</div>
 <div class="line"><a id="l00033" name="l00033"></a><span class="lineno">   33</span>    <span class="keyword">using </span>vector_bytes = std::vector&lt;uint8_t, typename std::allocator_traits&lt;A&gt;::template rebind_alloc&lt;uint8_t&gt;&gt;;</div>
 <div class="line"><a id="l00034" name="l00034"></a><span class="lineno">   34</span> </div>
-<div class="line"><a id="l00035" name="l00035"></a><span class="lineno">   35</span>    <a class="code hl_class" href="classdatasketches_1_1HllSketchImpl.html">HllSketchImpl</a>(uint8_t lgConfigK, <a class="code hl_enumeration" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4">target_hll_type</a> tgtHllType, hll_mode mode, <span class="keywordtype">bool</span> startFullSize);</div>
+<div class="line"><a id="l00035" name="l00035"></a><span class="lineno">   35</span>    <a class="code hl_class" href="classdatasketches_1_1HllSketchImpl.html">HllSketchImpl</a>(uint8_t lgConfigK, <a class="code hl_enumeration" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4">target_hll_type</a> tgtHllType, hll_mode mode);</div>
 <div class="line"><a id="l00036" name="l00036"></a><span class="lineno">   36</span>    <span class="keyword">virtual</span> <a class="code hl_class" href="classdatasketches_1_1HllSketchImpl.html">~HllSketchImpl</a>();</div>
 <div class="line"><a id="l00037" name="l00037"></a><span class="lineno">   37</span> </div>
 <div class="line"><a id="l00038" name="l00038"></a><span class="lineno">   38</span>    <span class="keyword">virtual</span> <span class="keywordtype">void</span> serialize(std::ostream&amp; os, <span class="keywordtype">bool</span> compact) <span class="keyword">const</span> = 0;</div>
@@ -124,7 +124,7 @@ $(document).ready(function() { init_codefold(0); });
 <div class="line"><a id="l00040" name="l00040"></a><span class="lineno">   40</span> </div>
 <div class="line"><a id="l00041" name="l00041"></a><span class="lineno">   41</span>    <span class="keyword">virtual</span> <a class="code hl_class" href="classdatasketches_1_1HllSketchImpl.html">HllSketchImpl</a>* copy() <span class="keyword">const</span> = 0;</div>
 <div class="line"><a id="l00042" name="l00042"></a><span class="lineno">   42</span>    <span class="keyword">virtual</span> <a class="code hl_class" href="classdatasketches_1_1HllSketchImpl.html">HllSketchImpl</a>* copyAs(<a class="code hl_enumeration" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4">target_hll_type</a> tgtHllType) <span class="keyword">const</span> = 0;</div>
-<div class="line"><a id="l00043" name="l00043"></a><span class="lineno">   43</span>    <a class="code hl_class" href="classdatasketches_1_1HllSketchImpl.html">HllSketchImpl&lt;A&gt;</a>* reset();</div>
+<div class="line"><a id="l00043" name="l00043"></a><span class="lineno">   43</span>    <a class="code hl_class" href="classdatasketches_1_1HllSketchImpl.html">HllSketchImpl&lt;A&gt;</a>* reset(<span class="keywordtype">bool</span> full_size);</div>
 <div class="line"><a id="l00044" name="l00044"></a><span class="lineno">   44</span> </div>
 <div class="line"><a id="l00045" name="l00045"></a><span class="lineno">   45</span>    <span class="keyword">virtual</span> std::function&lt;void(<a class="code hl_class" href="classdatasketches_1_1HllSketchImpl.html">HllSketchImpl&lt;A&gt;</a>*)&gt; get_deleter() <span class="keyword">const</span> = 0;</div>
 <div class="line"><a id="l00046" name="l00046"></a><span class="lineno">   46</span> </div>
@@ -153,24 +153,22 @@ $(document).ready(function() { init_codefold(0); });
 <div class="line"><a id="l00069" name="l00069"></a><span class="lineno">   69</span>    <span class="keyword">virtual</span> <span class="keywordtype">bool</span> isOutOfOrderFlag() <span class="keyword">const</span> = 0;</div>
 <div class="line"><a id="l00070" name="l00070"></a><span class="lineno">   70</span>    <span class="keyword">virtual</span> <span class="keywordtype">void</span> putOutOfOrderFlag(<span class="keywordtype">bool</span> oooFlag) = 0;</div>
 <div class="line"><a id="l00071" name="l00071"></a><span class="lineno">   71</span>    <span class="keyword">virtual</span> A getAllocator() <span class="keyword">const</span> = 0;</div>
-<div class="line"><a id="l00072" name="l00072"></a><span class="lineno">   72</span>    <span class="keywordtype">bool</span> isStartFullSize() <span class="keyword">const</span>;</div>
-<div class="line"><a id="l00073" name="l00073"></a><span class="lineno">   73</span> </div>
-<div class="line"><a id="l00074" name="l00074"></a><span class="lineno">   74</span>  <span class="keyword">protected</span>:</div>
-<div class="line"><a id="l00075" name="l00075"></a><span class="lineno">   75</span>    <span class="keyword">static</span> <a class="code hl_enumeration" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4">target_hll_type</a> extractTgtHllType(uint8_t modeByte);</div>
-<div class="line"><a id="l00076" name="l00076"></a><span class="lineno">   76</span>    <span class="keyword">static</span> hll_mode extractCurMode(uint8_t modeByte);</div>
-<div class="line"><a id="l00077" name="l00077"></a><span class="lineno">   77</span>    uint8_t makeFlagsByte(<span class="keywordtype">bool</span> compact) <span class="keyword">const</span>;</div>
-<div class="line"><a id="l00078" name="l00078"></a><span class="lineno">   78</span>    uint8_t makeModeByte() <span class="keyword">const</span>;</div>
-<div class="line"><a id="l00079" name="l00079"></a><span class="lineno">   79</span> </div>
-<div class="line"><a id="l00080" name="l00080"></a><span class="lineno">   80</span>    <span class="keyword">const</span> uint8_t lgConfigK_;</div>
-<div class="line"><a id="l00081" name="l00081"></a><span class="lineno">   81</span>    <span class="keyword">const</span> <a class="code hl_enumeration" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4">target_hll_type</a> tgtHllType_;</div>
-<div class="line"><a id="l00082" name="l00082"></a><span class="lineno">   82</span>    <span class="keyword">const</span> hll_mode mode_;</div>
-<div class="line"><a id="l00083" name="l00083"></a><span class="lineno">   83</span>    <span class="keyword">const</span> <span class="keywordtype">bool</span> startFullSize_;</div>
-<div class="line"><a id="l00084" name="l00084"></a><span class="lineno">   84</span>};</div>
+<div class="line"><a id="l00072" name="l00072"></a><span class="lineno">   72</span> </div>
+<div class="line"><a id="l00073" name="l00073"></a><span class="lineno">   73</span>  <span class="keyword">protected</span>:</div>
+<div class="line"><a id="l00074" name="l00074"></a><span class="lineno">   74</span>    <span class="keyword">static</span> <a class="code hl_enumeration" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4">target_hll_type</a> extractTgtHllType(uint8_t modeByte);</div>
+<div class="line"><a id="l00075" name="l00075"></a><span class="lineno">   75</span>    <span class="keyword">static</span> hll_mode extractCurMode(uint8_t modeByte);</div>
+<div class="line"><a id="l00076" name="l00076"></a><span class="lineno">   76</span>    uint8_t makeFlagsByte(<span class="keywordtype">bool</span> compact) <span class="keyword">const</span>;</div>
+<div class="line"><a id="l00077" name="l00077"></a><span class="lineno">   77</span>    uint8_t makeModeByte() <span class="keyword">const</span>;</div>
+<div class="line"><a id="l00078" name="l00078"></a><span class="lineno">   78</span> </div>
+<div class="line"><a id="l00079" name="l00079"></a><span class="lineno">   79</span>    <span class="keyword">const</span> uint8_t lgConfigK_;</div>
+<div class="line"><a id="l00080" name="l00080"></a><span class="lineno">   80</span>    <span class="keyword">const</span> <a class="code hl_enumeration" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4">target_hll_type</a> tgtHllType_;</div>
+<div class="line"><a id="l00081" name="l00081"></a><span class="lineno">   81</span>    <span class="keyword">const</span> hll_mode mode_;</div>
+<div class="line"><a id="l00082" name="l00082"></a><span class="lineno">   82</span>};</div>
 </div>
+<div class="line"><a id="l00083" name="l00083"></a><span class="lineno">   83</span> </div>
+<div class="line"><a id="l00084" name="l00084"></a><span class="lineno">   84</span>}</div>
 <div class="line"><a id="l00085" name="l00085"></a><span class="lineno">   85</span> </div>
-<div class="line"><a id="l00086" name="l00086"></a><span class="lineno">   86</span>}</div>
-<div class="line"><a id="l00087" name="l00087"></a><span class="lineno">   87</span> </div>
-<div class="line"><a id="l00088" name="l00088"></a><span class="lineno">   88</span><span class="preprocessor">#endif </span><span class="comment">// _HLLSKETCHIMPL_HPP_</span></div>
+<div class="line"><a id="l00086" name="l00086"></a><span class="lineno">   86</span><span class="preprocessor">#endif </span><span class="comment">// _HLLSKETCHIMPL_HPP_</span></div>
 <div class="ttc" id="aclassdatasketches_1_1HllSketchImpl_html"><div class="ttname"><a href="classdatasketches_1_1HllSketchImpl.html">datasketches::HllSketchImpl</a></div><div class="ttdoc">This is a high performance implementation of Phillipe Flajolet's HLL sketch but with significantly im...</div><div class="ttdef"><b>Definition</b> HllSketchImpl.hpp:31</div></div>
 <div class="ttc" id="anamespacedatasketches_html"><div class="ttname"><a href="namespacedatasketches.html">datasketches</a></div><div class="ttdoc">DataSketches namespace.</div><div class="ttdef"><b>Definition</b> binomial_bounds.hpp:38</div></div>
 <div class="ttc" id="anamespacedatasketches_html_a76c1ad9235877691984d49415bb263e4"><div class="ttname"><a href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4">datasketches::target_hll_type</a></div><div class="ttdeci">target_hll_type</div><div class="ttdoc">Specifies the target type of HLL sketch to be created.</div><div class="ttdef"><b>Definition</b> hll.hpp:72</div></div>
diff --git a/docs/master/HllUnion-internal_8hpp_source.html b/docs/master/HllUnion-internal_8hpp_source.html
index ce0b531..2ed5a7f 100644
--- a/docs/master/HllUnion-internal_8hpp_source.html
+++ b/docs/master/HllUnion-internal_8hpp_source.html
@@ -297,130 +297,132 @@ $(document).ready(function() { init_codefold(0); });
 <div class="line"><a id="l00172" name="l00172"></a><span class="lineno">  172</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
 <div class="foldopen" id="foldopen00173" data-start="{" data-end="}">
 <div class="line"><a id="l00173" name="l00173"></a><span class="lineno"><a class="line" href="classdatasketches_1_1hll__union__alloc.html#ad20897c5c8bd47f5d4005989bead0e55">  173</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="classdatasketches_1_1hll__union__alloc.html#ad20897c5c8bd47f5d4005989bead0e55">hll_union_alloc&lt;A&gt;::reset</a>() {</div>
-<div class="line"><a id="l00174" name="l00174"></a><span class="lineno">  174</span>  gadget_.reset();</div>
-<div class="line"><a id="l00175" name="l00175"></a><span class="lineno">  175</span>}</div>
-</div>
-<div class="line"><a id="l00176" name="l00176"></a><span class="lineno">  176</span> </div>
-<div class="line"><a id="l00177" name="l00177"></a><span class="lineno">  177</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="foldopen" id="foldopen00178" data-start="{" data-end="}">
-<div class="line"><a id="l00178" name="l00178"></a><span class="lineno"><a class="line" href="classdatasketches_1_1hll__union__alloc.html#a5a2b7a58dc85678d08752945ff655362">  178</a></span><span class="keywordtype">bool</span> <a class="code hl_function" href="classdatasketches_1_1hll__union__alloc.html#a5a2b7a58dc85678d08752945ff655362">hll_union_alloc&lt;A&gt;::is_empty</a>()<span class="keyword"> const </span>{</div>
-<div class="line"><a id="l00179" name="l00179"></a><span class="lineno">  179</span>  <span class="keywordflow">return</span> gadget_.is_empty();</div>
-<div class="line"><a id="l00180" name="l00180"></a><span class="lineno">  180</span>}</div>
-</div>
-<div class="line"><a id="l00181" name="l00181"></a><span class="lineno">  181</span> </div>
-<div class="line"><a id="l00182" name="l00182"></a><span class="lineno">  182</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00183" name="l00183"></a><span class="lineno">  183</span><span class="keywordtype">bool</span> <a class="code hl_class" href="classdatasketches_1_1hll__union__alloc.html">hll_union_alloc&lt;A&gt;::is_out_of_order_flag</a>()<span class="keyword"> const </span>{</div>
-<div class="line"><a id="l00184" name="l00184"></a><span class="lineno">  184</span>  <span class="keywordflow">return</span> gadget_.is_out_of_order_flag();</div>
-<div class="line"><a id="l00185" name="l00185"></a><span class="lineno">  185</span>}</div>
-<div class="line"><a id="l00186" name="l00186"></a><span class="lineno">  186</span> </div>
-<div class="line"><a id="l00187" name="l00187"></a><span class="lineno">  187</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00188" name="l00188"></a><span class="lineno">  188</span>hll_mode hll_union_alloc&lt;A&gt;::get_current_mode()<span class="keyword"> const </span>{</div>
-<div class="line"><a id="l00189" name="l00189"></a><span class="lineno">  189</span>  <span class="keywordflow">return</span> gadget_.get_current_mode();</div>
-<div class="line"><a id="l00190" name="l00190"></a><span class="lineno">  190</span>}</div>
-<div class="line"><a id="l00191" name="l00191"></a><span class="lineno">  191</span> </div>
-<div class="line"><a id="l00192" name="l00192"></a><span class="lineno">  192</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00193" name="l00193"></a><span class="lineno">  193</span><span class="keywordtype">bool</span> hll_union_alloc&lt;A&gt;::is_estimation_mode()<span class="keyword"> const </span>{</div>
-<div class="line"><a id="l00194" name="l00194"></a><span class="lineno">  194</span>  <span class="keywordflow">return</span> gadget_.is_estimation_mode();</div>
-<div class="line"><a id="l00195" name="l00195"></a><span class="lineno">  195</span>}</div>
-<div class="line"><a id="l00196" name="l00196"></a><span class="lineno">  196</span> </div>
-<div class="line"><a id="l00197" name="l00197"></a><span class="lineno">  197</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="foldopen" id="foldopen00198" data-start="{" data-end="}">
-<div class="line"><a id="l00198" name="l00198"></a><span class="lineno"><a class="line" href="classdatasketches_1_1hll__union__alloc.html#a0387c920d914fe59fd3c4c53a9a99093">  198</a></span><a class="code hl_enumeration" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4">target_hll_type</a> <a class="code hl_function" href="classdatasketches_1_1hll__union__alloc.html#a0387c920d914fe59fd3c4c53a9a99093">hll_union_alloc&lt;A&gt;::get_target_type</a>()<span class="keyword"> c [...]
-<div class="line"><a id="l00199" name="l00199"></a><span class="lineno">  199</span>  <span class="keywordflow">return</span> <a class="code hl_enumvalue" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4a3a5efa79623d3e2ab53f27ef53237c7f">target_hll_type::HLL_8</a>;</div>
-<div class="line"><a id="l00200" name="l00200"></a><span class="lineno">  200</span>}</div>
-</div>
-<div class="line"><a id="l00201" name="l00201"></a><span class="lineno">  201</span> </div>
-<div class="line"><a id="l00202" name="l00202"></a><span class="lineno">  202</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="foldopen" id="foldopen00203" data-start="{" data-end="}">
-<div class="line"><a id="l00203" name="l00203"></a><span class="lineno"><a class="line" href="classdatasketches_1_1hll__union__alloc.html#af1abb48488246839a8732c9f20e3f7db">  203</a></span><span class="keywordtype">double</span> <a class="code hl_function" href="classdatasketches_1_1hll__union__alloc.html#af1abb48488246839a8732c9f20e3f7db">hll_union_alloc&lt;A&gt;::get_rel_err</a>(<span class="keywordtype">bool</span> upper_bound, <span class="keywordtype">bool</span> unioned,</div>
-<div class="line"><a id="l00204" name="l00204"></a><span class="lineno">  204</span>                           uint8_t lg_config_k, uint8_t num_std_dev) {</div>
-<div class="line"><a id="l00205" name="l00205"></a><span class="lineno">  205</span>  <span class="keywordflow">return</span> HllUtil&lt;A&gt;::getRelErr(upper_bound, unioned, lg_config_k, num_std_dev);</div>
-<div class="line"><a id="l00206" name="l00206"></a><span class="lineno">  206</span>}</div>
-</div>
-<div class="line"><a id="l00207" name="l00207"></a><span class="lineno">  207</span> </div>
-<div class="line"><a id="l00208" name="l00208"></a><span class="lineno">  208</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00209" name="l00209"></a><span class="lineno">  209</span><a class="code hl_class" href="classdatasketches_1_1HllSketchImpl.html">HllSketchImpl&lt;A&gt;</a>* <a class="code hl_class" href="classdatasketches_1_1hll__union__alloc.html">hll_union_alloc&lt;A&gt;::copy_or_downsample</a>(<span class="keyword">const</span> <a class="code hl_class" href="classdatasketches_1_1HllSketchImpl.html">HllSketchImpl&lt;A&gt;</a>* src_impl, uint8_t tgt_lg_k) {</div>
-<div class="line"><a id="l00210" name="l00210"></a><span class="lineno">  210</span>  <span class="keywordflow">if</span> (src_impl-&gt;getCurMode() != HLL) {</div>
-<div class="line"><a id="l00211" name="l00211"></a><span class="lineno">  211</span>    <span class="keywordflow">throw</span> std::logic_error(<span class="stringliteral">&quot;Attempt to downsample non-HLL sketch&quot;</span>);</div>
-<div class="line"><a id="l00212" name="l00212"></a><span class="lineno">  212</span>  }</div>
-<div class="line"><a id="l00213" name="l00213"></a><span class="lineno">  213</span>  <span class="keyword">const</span> HllArray&lt;A&gt;* src = <span class="keyword">static_cast&lt;</span><span class="keyword">const </span>HllArray&lt;A&gt;*<span class="keyword">&gt;</span>(src_impl);</div>
-<div class="line"><a id="l00214" name="l00214"></a><span class="lineno">  214</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> src_lg_k = src-&gt;getLgConfigK();</div>
-<div class="line"><a id="l00215" name="l00215"></a><span class="lineno">  215</span>  <span class="keywordflow">if</span> (src_lg_k &lt;= tgt_lg_k) {</div>
-<div class="line"><a id="l00216" name="l00216"></a><span class="lineno">  216</span>    <span class="keywordflow">return</span> src-&gt;copyAs(<a class="code hl_enumvalue" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4a3a5efa79623d3e2ab53f27ef53237c7f">HLL_8</a>);</div>
-<div class="line"><a id="l00217" name="l00217"></a><span class="lineno">  217</span>  }</div>
-<div class="line"><a id="l00218" name="l00218"></a><span class="lineno">  218</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> std::allocator_traits&lt;A&gt;::template rebind_alloc&lt;Hll8Array&lt;A&gt;&gt; hll8Alloc;</div>
-<div class="line"><a id="l00219" name="l00219"></a><span class="lineno">  219</span>  Hll8Array&lt;A&gt;* tgtHllArr = <span class="keyword">new</span> (hll8Alloc(src-&gt;getAllocator()).allocate(1)) Hll8Array&lt;A&gt;(tgt_lg_k, <span class="keyword">false</span>, src-&gt;getAllocator());</div>
-<div class="line"><a id="l00220" name="l00220"></a><span class="lineno">  220</span>  tgtHllArr-&gt;mergeHll(*src);</div>
-<div class="line"><a id="l00221" name="l00221"></a><span class="lineno">  221</span>  <span class="comment">//both of these are required for isomorphism</span></div>
-<div class="line"><a id="l00222" name="l00222"></a><span class="lineno">  222</span>  tgtHllArr-&gt;putHipAccum(src-&gt;getHipAccum());</div>
-<div class="line"><a id="l00223" name="l00223"></a><span class="lineno">  223</span>  tgtHllArr-&gt;putOutOfOrderFlag(src-&gt;isOutOfOrderFlag());</div>
-<div class="line"><a id="l00224" name="l00224"></a><span class="lineno">  224</span>  <span class="keywordflow">return</span> tgtHllArr;</div>
-<div class="line"><a id="l00225" name="l00225"></a><span class="lineno">  225</span>}</div>
-<div class="line"><a id="l00226" name="l00226"></a><span class="lineno">  226</span> </div>
-<div class="line"><a id="l00227" name="l00227"></a><span class="lineno">  227</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00228" name="l00228"></a><span class="lineno">  228</span><span class="keyword">inline</span> HllSketchImpl&lt;A&gt;* hll_union_alloc&lt;A&gt;::leak_free_coupon_update(HllSketchImpl&lt;A&gt;* impl, uint32_t coupon) {</div>
-<div class="line"><a id="l00229" name="l00229"></a><span class="lineno">  229</span>  HllSketchImpl&lt;A&gt;* result = impl-&gt;couponUpdate(coupon);</div>
-<div class="line"><a id="l00230" name="l00230"></a><span class="lineno">  230</span>  <span class="keywordflow">if</span> (result != impl) {</div>
-<div class="line"><a id="l00231" name="l00231"></a><span class="lineno">  231</span>    impl-&gt;get_deleter()(impl);</div>
-<div class="line"><a id="l00232" name="l00232"></a><span class="lineno">  232</span>  }</div>
-<div class="line"><a id="l00233" name="l00233"></a><span class="lineno">  233</span>  <span class="keywordflow">return</span> result;</div>
-<div class="line"><a id="l00234" name="l00234"></a><span class="lineno">  234</span>}</div>
-<div class="line"><a id="l00235" name="l00235"></a><span class="lineno">  235</span> </div>
-<div class="line"><a id="l00236" name="l00236"></a><span class="lineno">  236</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00237" name="l00237"></a><span class="lineno">  237</span><span class="keywordtype">void</span> hll_union_alloc&lt;A&gt;::union_impl(<span class="keyword">const</span> hll_sketch_alloc&lt;A&gt;&amp; sketch, uint8_t lg_max_k) {</div>
-<div class="line"><a id="l00238" name="l00238"></a><span class="lineno">  238</span>  <span class="keyword">const</span> HllSketchImpl&lt;A&gt;* src_impl = sketch.sketch_impl; <span class="comment">//default</span></div>
-<div class="line"><a id="l00239" name="l00239"></a><span class="lineno">  239</span>  HllSketchImpl&lt;A&gt;* dst_impl = gadget_.sketch_impl; <span class="comment">//default</span></div>
-<div class="line"><a id="l00240" name="l00240"></a><span class="lineno">  240</span>  <span class="keywordflow">if</span> (src_impl-&gt;getCurMode() == LIST || src_impl-&gt;getCurMode() == SET) {</div>
-<div class="line"><a id="l00241" name="l00241"></a><span class="lineno">  241</span>    <span class="keywordflow">if</span> (dst_impl-&gt;isEmpty() &amp;&amp; src_impl-&gt;getLgConfigK() == dst_impl-&gt;getLgConfigK()) {</div>
-<div class="line"><a id="l00242" name="l00242"></a><span class="lineno">  242</span>      dst_impl = src_impl-&gt;copyAs(<a class="code hl_enumvalue" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4a3a5efa79623d3e2ab53f27ef53237c7f">HLL_8</a>);</div>
-<div class="line"><a id="l00243" name="l00243"></a><span class="lineno">  243</span>      gadget_.sketch_impl-&gt;get_deleter()(gadget_.sketch_impl); <span class="comment">// gadget to be replaced</span></div>
-<div class="line"><a id="l00244" name="l00244"></a><span class="lineno">  244</span>    } <span class="keywordflow">else</span> {</div>
-<div class="line"><a id="l00245" name="l00245"></a><span class="lineno">  245</span>      <span class="keyword">const</span> CouponList&lt;A&gt;* src = <span class="keyword">static_cast&lt;</span><span class="keyword">const </span>CouponList&lt;A&gt;*<span class="keyword">&gt;</span>(src_impl);</div>
-<div class="line"><a id="l00246" name="l00246"></a><span class="lineno">  246</span>      <span class="keywordflow">for</span> (<span class="keyword">auto</span> coupon: *src) {</div>
-<div class="line"><a id="l00247" name="l00247"></a><span class="lineno">  247</span>        dst_impl = leak_free_coupon_update(dst_impl, coupon); <span class="comment">//assignment required</span></div>
-<div class="line"><a id="l00248" name="l00248"></a><span class="lineno">  248</span>      }</div>
-<div class="line"><a id="l00249" name="l00249"></a><span class="lineno">  249</span>    }</div>
-<div class="line"><a id="l00250" name="l00250"></a><span class="lineno">  250</span>  } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (!dst_impl-&gt;isEmpty()) { <span class="comment">// src is HLL</span></div>
-<div class="line"><a id="l00251" name="l00251"></a><span class="lineno">  251</span>    <span class="keywordflow">if</span> (dst_impl-&gt;getCurMode() == LIST || dst_impl-&gt;getCurMode() == SET) {</div>
-<div class="line"><a id="l00252" name="l00252"></a><span class="lineno">  252</span>      <span class="comment">// swap so that src is LIST or SET, tgt is HLL</span></div>
-<div class="line"><a id="l00253" name="l00253"></a><span class="lineno">  253</span>      <span class="comment">// use lg_max_k because LIST has effective K of 2^26</span></div>
-<div class="line"><a id="l00254" name="l00254"></a><span class="lineno">  254</span>      <span class="keyword">const</span> CouponList&lt;A&gt;* src = <span class="keyword">static_cast&lt;</span><span class="keyword">const </span>CouponList&lt;A&gt;*<span class="keyword">&gt;</span>(dst_impl);</div>
-<div class="line"><a id="l00255" name="l00255"></a><span class="lineno">  255</span>      dst_impl = copy_or_downsample(src_impl, lg_max_k);</div>
-<div class="line"><a id="l00256" name="l00256"></a><span class="lineno">  256</span>      <span class="keyword">static_cast&lt;</span>Hll8Array&lt;A&gt;*<span class="keyword">&gt;</span>(dst_impl)-&gt;mergeList(*src);</div>
-<div class="line"><a id="l00257" name="l00257"></a><span class="lineno">  257</span>      gadget_.sketch_impl-&gt;get_deleter()(gadget_.sketch_impl); <span class="comment">// gadget to be replaced</span></div>
-<div class="line"><a id="l00258" name="l00258"></a><span class="lineno">  258</span>    } <span class="keywordflow">else</span> { <span class="comment">// gadget is HLL</span></div>
-<div class="line"><a id="l00259" name="l00259"></a><span class="lineno">  259</span>      <span class="keywordflow">if</span> (src_impl-&gt;getLgConfigK() &lt; dst_impl-&gt;getLgConfigK()) {</div>
-<div class="line"><a id="l00260" name="l00260"></a><span class="lineno">  260</span>        dst_impl = copy_or_downsample(dst_impl, sketch.get_lg_config_k());</div>
-<div class="line"><a id="l00261" name="l00261"></a><span class="lineno">  261</span>        gadget_.sketch_impl-&gt;get_deleter()(gadget_.sketch_impl); <span class="comment">// gadget to be replaced</span></div>
-<div class="line"><a id="l00262" name="l00262"></a><span class="lineno">  262</span>      }</div>
-<div class="line"><a id="l00263" name="l00263"></a><span class="lineno">  263</span>      <span class="keyword">const</span> HllArray&lt;A&gt;* src = <span class="keyword">static_cast&lt;</span><span class="keyword">const </span>HllArray&lt;A&gt;*<span class="keyword">&gt;</span>(src_impl);</div>
-<div class="line"><a id="l00264" name="l00264"></a><span class="lineno">  264</span>      <span class="keyword">static_cast&lt;</span>Hll8Array&lt;A&gt;*<span class="keyword">&gt;</span>(dst_impl)-&gt;mergeHll(*src);</div>
-<div class="line"><a id="l00265" name="l00265"></a><span class="lineno">  265</span>      dst_impl-&gt;putOutOfOrderFlag(<span class="keyword">true</span>);</div>
-<div class="line"><a id="l00266" name="l00266"></a><span class="lineno">  266</span>      <span class="keyword">static_cast&lt;</span>Hll8Array&lt;A&gt;*<span class="keyword">&gt;</span>(dst_impl)-&gt;putHipAccum(0);</div>
-<div class="line"><a id="l00267" name="l00267"></a><span class="lineno">  267</span>    }</div>
-<div class="line"><a id="l00268" name="l00268"></a><span class="lineno">  268</span>  } <span class="keywordflow">else</span> { <span class="comment">// src is HLL, gadget is empty</span></div>
-<div class="line"><a id="l00269" name="l00269"></a><span class="lineno">  269</span>    dst_impl = copy_or_downsample(src_impl, lg_max_k);</div>
-<div class="line"><a id="l00270" name="l00270"></a><span class="lineno">  270</span>    gadget_.sketch_impl-&gt;get_deleter()(gadget_.sketch_impl); <span class="comment">// gadget to be replaced</span></div>
-<div class="line"><a id="l00271" name="l00271"></a><span class="lineno">  271</span>  }</div>
-<div class="line"><a id="l00272" name="l00272"></a><span class="lineno">  272</span>  gadget_.sketch_impl = dst_impl; <span class="comment">// gadget replaced</span></div>
-<div class="line"><a id="l00273" name="l00273"></a><span class="lineno">  273</span>}</div>
-<div class="line"><a id="l00274" name="l00274"></a><span class="lineno">  274</span> </div>
+<div class="line"><a id="l00174" name="l00174"></a><span class="lineno">  174</span>  <span class="comment">// always coupon collection mode: the gadget is an internal detail and must not</span></div>
+<div class="line"><a id="l00175" name="l00175"></a><span class="lineno">  175</span>  <span class="comment">// inherit a full-size state from whatever sketches happen to have been unioned in</span></div>
+<div class="line"><a id="l00176" name="l00176"></a><span class="lineno">  176</span>  gadget_.reset(<span class="keyword">false</span>);</div>
+<div class="line"><a id="l00177" name="l00177"></a><span class="lineno">  177</span>}</div>
+</div>
+<div class="line"><a id="l00178" name="l00178"></a><span class="lineno">  178</span> </div>
+<div class="line"><a id="l00179" name="l00179"></a><span class="lineno">  179</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="foldopen" id="foldopen00180" data-start="{" data-end="}">
+<div class="line"><a id="l00180" name="l00180"></a><span class="lineno"><a class="line" href="classdatasketches_1_1hll__union__alloc.html#a5a2b7a58dc85678d08752945ff655362">  180</a></span><span class="keywordtype">bool</span> <a class="code hl_function" href="classdatasketches_1_1hll__union__alloc.html#a5a2b7a58dc85678d08752945ff655362">hll_union_alloc&lt;A&gt;::is_empty</a>()<span class="keyword"> const </span>{</div>
+<div class="line"><a id="l00181" name="l00181"></a><span class="lineno">  181</span>  <span class="keywordflow">return</span> gadget_.is_empty();</div>
+<div class="line"><a id="l00182" name="l00182"></a><span class="lineno">  182</span>}</div>
+</div>
+<div class="line"><a id="l00183" name="l00183"></a><span class="lineno">  183</span> </div>
+<div class="line"><a id="l00184" name="l00184"></a><span class="lineno">  184</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00185" name="l00185"></a><span class="lineno">  185</span><span class="keywordtype">bool</span> <a class="code hl_class" href="classdatasketches_1_1hll__union__alloc.html">hll_union_alloc&lt;A&gt;::is_out_of_order_flag</a>()<span class="keyword"> const </span>{</div>
+<div class="line"><a id="l00186" name="l00186"></a><span class="lineno">  186</span>  <span class="keywordflow">return</span> gadget_.is_out_of_order_flag();</div>
+<div class="line"><a id="l00187" name="l00187"></a><span class="lineno">  187</span>}</div>
+<div class="line"><a id="l00188" name="l00188"></a><span class="lineno">  188</span> </div>
+<div class="line"><a id="l00189" name="l00189"></a><span class="lineno">  189</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00190" name="l00190"></a><span class="lineno">  190</span>hll_mode hll_union_alloc&lt;A&gt;::get_current_mode()<span class="keyword"> const </span>{</div>
+<div class="line"><a id="l00191" name="l00191"></a><span class="lineno">  191</span>  <span class="keywordflow">return</span> gadget_.get_current_mode();</div>
+<div class="line"><a id="l00192" name="l00192"></a><span class="lineno">  192</span>}</div>
+<div class="line"><a id="l00193" name="l00193"></a><span class="lineno">  193</span> </div>
+<div class="line"><a id="l00194" name="l00194"></a><span class="lineno">  194</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00195" name="l00195"></a><span class="lineno">  195</span><span class="keywordtype">bool</span> hll_union_alloc&lt;A&gt;::is_estimation_mode()<span class="keyword"> const </span>{</div>
+<div class="line"><a id="l00196" name="l00196"></a><span class="lineno">  196</span>  <span class="keywordflow">return</span> gadget_.is_estimation_mode();</div>
+<div class="line"><a id="l00197" name="l00197"></a><span class="lineno">  197</span>}</div>
+<div class="line"><a id="l00198" name="l00198"></a><span class="lineno">  198</span> </div>
+<div class="line"><a id="l00199" name="l00199"></a><span class="lineno">  199</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="foldopen" id="foldopen00200" data-start="{" data-end="}">
+<div class="line"><a id="l00200" name="l00200"></a><span class="lineno"><a class="line" href="classdatasketches_1_1hll__union__alloc.html#a0387c920d914fe59fd3c4c53a9a99093">  200</a></span><a class="code hl_enumeration" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4">target_hll_type</a> <a class="code hl_function" href="classdatasketches_1_1hll__union__alloc.html#a0387c920d914fe59fd3c4c53a9a99093">hll_union_alloc&lt;A&gt;::get_target_type</a>()<span class="keyword"> c [...]
+<div class="line"><a id="l00201" name="l00201"></a><span class="lineno">  201</span>  <span class="keywordflow">return</span> <a class="code hl_enumvalue" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4a3a5efa79623d3e2ab53f27ef53237c7f">target_hll_type::HLL_8</a>;</div>
+<div class="line"><a id="l00202" name="l00202"></a><span class="lineno">  202</span>}</div>
+</div>
+<div class="line"><a id="l00203" name="l00203"></a><span class="lineno">  203</span> </div>
+<div class="line"><a id="l00204" name="l00204"></a><span class="lineno">  204</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="foldopen" id="foldopen00205" data-start="{" data-end="}">
+<div class="line"><a id="l00205" name="l00205"></a><span class="lineno"><a class="line" href="classdatasketches_1_1hll__union__alloc.html#af1abb48488246839a8732c9f20e3f7db">  205</a></span><span class="keywordtype">double</span> <a class="code hl_function" href="classdatasketches_1_1hll__union__alloc.html#af1abb48488246839a8732c9f20e3f7db">hll_union_alloc&lt;A&gt;::get_rel_err</a>(<span class="keywordtype">bool</span> upper_bound, <span class="keywordtype">bool</span> unioned,</div>
+<div class="line"><a id="l00206" name="l00206"></a><span class="lineno">  206</span>                           uint8_t lg_config_k, uint8_t num_std_dev) {</div>
+<div class="line"><a id="l00207" name="l00207"></a><span class="lineno">  207</span>  <span class="keywordflow">return</span> HllUtil&lt;A&gt;::getRelErr(upper_bound, unioned, lg_config_k, num_std_dev);</div>
+<div class="line"><a id="l00208" name="l00208"></a><span class="lineno">  208</span>}</div>
+</div>
+<div class="line"><a id="l00209" name="l00209"></a><span class="lineno">  209</span> </div>
+<div class="line"><a id="l00210" name="l00210"></a><span class="lineno">  210</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00211" name="l00211"></a><span class="lineno">  211</span><a class="code hl_class" href="classdatasketches_1_1HllSketchImpl.html">HllSketchImpl&lt;A&gt;</a>* <a class="code hl_class" href="classdatasketches_1_1hll__union__alloc.html">hll_union_alloc&lt;A&gt;::copy_or_downsample</a>(<span class="keyword">const</span> <a class="code hl_class" href="classdatasketches_1_1HllSketchImpl.html">HllSketchImpl&lt;A&gt;</a>* src_impl, uint8_t tgt_lg_k) {</div>
+<div class="line"><a id="l00212" name="l00212"></a><span class="lineno">  212</span>  <span class="keywordflow">if</span> (src_impl-&gt;getCurMode() != HLL) {</div>
+<div class="line"><a id="l00213" name="l00213"></a><span class="lineno">  213</span>    <span class="keywordflow">throw</span> std::logic_error(<span class="stringliteral">&quot;Attempt to downsample non-HLL sketch&quot;</span>);</div>
+<div class="line"><a id="l00214" name="l00214"></a><span class="lineno">  214</span>  }</div>
+<div class="line"><a id="l00215" name="l00215"></a><span class="lineno">  215</span>  <span class="keyword">const</span> HllArray&lt;A&gt;* src = <span class="keyword">static_cast&lt;</span><span class="keyword">const </span>HllArray&lt;A&gt;*<span class="keyword">&gt;</span>(src_impl);</div>
+<div class="line"><a id="l00216" name="l00216"></a><span class="lineno">  216</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> src_lg_k = src-&gt;getLgConfigK();</div>
+<div class="line"><a id="l00217" name="l00217"></a><span class="lineno">  217</span>  <span class="keywordflow">if</span> (src_lg_k &lt;= tgt_lg_k) {</div>
+<div class="line"><a id="l00218" name="l00218"></a><span class="lineno">  218</span>    <span class="keywordflow">return</span> src-&gt;copyAs(<a class="code hl_enumvalue" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4a3a5efa79623d3e2ab53f27ef53237c7f">HLL_8</a>);</div>
+<div class="line"><a id="l00219" name="l00219"></a><span class="lineno">  219</span>  }</div>
+<div class="line"><a id="l00220" name="l00220"></a><span class="lineno">  220</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> std::allocator_traits&lt;A&gt;::template rebind_alloc&lt;Hll8Array&lt;A&gt;&gt; hll8Alloc;</div>
+<div class="line"><a id="l00221" name="l00221"></a><span class="lineno">  221</span>  Hll8Array&lt;A&gt;* tgtHllArr = <span class="keyword">new</span> (hll8Alloc(src-&gt;getAllocator()).allocate(1)) Hll8Array&lt;A&gt;(tgt_lg_k, src-&gt;getAllocator());</div>
+<div class="line"><a id="l00222" name="l00222"></a><span class="lineno">  222</span>  tgtHllArr-&gt;mergeHll(*src);</div>
+<div class="line"><a id="l00223" name="l00223"></a><span class="lineno">  223</span>  <span class="comment">//both of these are required for isomorphism</span></div>
+<div class="line"><a id="l00224" name="l00224"></a><span class="lineno">  224</span>  tgtHllArr-&gt;putHipAccum(src-&gt;getHipAccum());</div>
+<div class="line"><a id="l00225" name="l00225"></a><span class="lineno">  225</span>  tgtHllArr-&gt;putOutOfOrderFlag(src-&gt;isOutOfOrderFlag());</div>
+<div class="line"><a id="l00226" name="l00226"></a><span class="lineno">  226</span>  <span class="keywordflow">return</span> tgtHllArr;</div>
+<div class="line"><a id="l00227" name="l00227"></a><span class="lineno">  227</span>}</div>
+<div class="line"><a id="l00228" name="l00228"></a><span class="lineno">  228</span> </div>
+<div class="line"><a id="l00229" name="l00229"></a><span class="lineno">  229</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00230" name="l00230"></a><span class="lineno">  230</span><span class="keyword">inline</span> HllSketchImpl&lt;A&gt;* hll_union_alloc&lt;A&gt;::leak_free_coupon_update(HllSketchImpl&lt;A&gt;* impl, uint32_t coupon) {</div>
+<div class="line"><a id="l00231" name="l00231"></a><span class="lineno">  231</span>  HllSketchImpl&lt;A&gt;* result = impl-&gt;couponUpdate(coupon);</div>
+<div class="line"><a id="l00232" name="l00232"></a><span class="lineno">  232</span>  <span class="keywordflow">if</span> (result != impl) {</div>
+<div class="line"><a id="l00233" name="l00233"></a><span class="lineno">  233</span>    impl-&gt;get_deleter()(impl);</div>
+<div class="line"><a id="l00234" name="l00234"></a><span class="lineno">  234</span>  }</div>
+<div class="line"><a id="l00235" name="l00235"></a><span class="lineno">  235</span>  <span class="keywordflow">return</span> result;</div>
+<div class="line"><a id="l00236" name="l00236"></a><span class="lineno">  236</span>}</div>
+<div class="line"><a id="l00237" name="l00237"></a><span class="lineno">  237</span> </div>
+<div class="line"><a id="l00238" name="l00238"></a><span class="lineno">  238</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00239" name="l00239"></a><span class="lineno">  239</span><span class="keywordtype">void</span> hll_union_alloc&lt;A&gt;::union_impl(<span class="keyword">const</span> hll_sketch_alloc&lt;A&gt;&amp; sketch, uint8_t lg_max_k) {</div>
+<div class="line"><a id="l00240" name="l00240"></a><span class="lineno">  240</span>  <span class="keyword">const</span> HllSketchImpl&lt;A&gt;* src_impl = sketch.sketch_impl; <span class="comment">//default</span></div>
+<div class="line"><a id="l00241" name="l00241"></a><span class="lineno">  241</span>  HllSketchImpl&lt;A&gt;* dst_impl = gadget_.sketch_impl; <span class="comment">//default</span></div>
+<div class="line"><a id="l00242" name="l00242"></a><span class="lineno">  242</span>  <span class="keywordflow">if</span> (src_impl-&gt;getCurMode() == LIST || src_impl-&gt;getCurMode() == SET) {</div>
+<div class="line"><a id="l00243" name="l00243"></a><span class="lineno">  243</span>    <span class="keywordflow">if</span> (dst_impl-&gt;isEmpty() &amp;&amp; src_impl-&gt;getLgConfigK() == dst_impl-&gt;getLgConfigK()) {</div>
+<div class="line"><a id="l00244" name="l00244"></a><span class="lineno">  244</span>      dst_impl = src_impl-&gt;copyAs(<a class="code hl_enumvalue" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4a3a5efa79623d3e2ab53f27ef53237c7f">HLL_8</a>);</div>
+<div class="line"><a id="l00245" name="l00245"></a><span class="lineno">  245</span>      gadget_.sketch_impl-&gt;get_deleter()(gadget_.sketch_impl); <span class="comment">// gadget to be replaced</span></div>
+<div class="line"><a id="l00246" name="l00246"></a><span class="lineno">  246</span>    } <span class="keywordflow">else</span> {</div>
+<div class="line"><a id="l00247" name="l00247"></a><span class="lineno">  247</span>      <span class="keyword">const</span> CouponList&lt;A&gt;* src = <span class="keyword">static_cast&lt;</span><span class="keyword">const </span>CouponList&lt;A&gt;*<span class="keyword">&gt;</span>(src_impl);</div>
+<div class="line"><a id="l00248" name="l00248"></a><span class="lineno">  248</span>      <span class="keywordflow">for</span> (<span class="keyword">auto</span> coupon: *src) {</div>
+<div class="line"><a id="l00249" name="l00249"></a><span class="lineno">  249</span>        dst_impl = leak_free_coupon_update(dst_impl, coupon); <span class="comment">//assignment required</span></div>
+<div class="line"><a id="l00250" name="l00250"></a><span class="lineno">  250</span>      }</div>
+<div class="line"><a id="l00251" name="l00251"></a><span class="lineno">  251</span>    }</div>
+<div class="line"><a id="l00252" name="l00252"></a><span class="lineno">  252</span>  } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (!dst_impl-&gt;isEmpty()) { <span class="comment">// src is HLL</span></div>
+<div class="line"><a id="l00253" name="l00253"></a><span class="lineno">  253</span>    <span class="keywordflow">if</span> (dst_impl-&gt;getCurMode() == LIST || dst_impl-&gt;getCurMode() == SET) {</div>
+<div class="line"><a id="l00254" name="l00254"></a><span class="lineno">  254</span>      <span class="comment">// swap so that src is LIST or SET, tgt is HLL</span></div>
+<div class="line"><a id="l00255" name="l00255"></a><span class="lineno">  255</span>      <span class="comment">// use lg_max_k because LIST has effective K of 2^26</span></div>
+<div class="line"><a id="l00256" name="l00256"></a><span class="lineno">  256</span>      <span class="keyword">const</span> CouponList&lt;A&gt;* src = <span class="keyword">static_cast&lt;</span><span class="keyword">const </span>CouponList&lt;A&gt;*<span class="keyword">&gt;</span>(dst_impl);</div>
+<div class="line"><a id="l00257" name="l00257"></a><span class="lineno">  257</span>      dst_impl = copy_or_downsample(src_impl, lg_max_k);</div>
+<div class="line"><a id="l00258" name="l00258"></a><span class="lineno">  258</span>      <span class="keyword">static_cast&lt;</span>Hll8Array&lt;A&gt;*<span class="keyword">&gt;</span>(dst_impl)-&gt;mergeList(*src);</div>
+<div class="line"><a id="l00259" name="l00259"></a><span class="lineno">  259</span>      gadget_.sketch_impl-&gt;get_deleter()(gadget_.sketch_impl); <span class="comment">// gadget to be replaced</span></div>
+<div class="line"><a id="l00260" name="l00260"></a><span class="lineno">  260</span>    } <span class="keywordflow">else</span> { <span class="comment">// gadget is HLL</span></div>
+<div class="line"><a id="l00261" name="l00261"></a><span class="lineno">  261</span>      <span class="keywordflow">if</span> (src_impl-&gt;getLgConfigK() &lt; dst_impl-&gt;getLgConfigK()) {</div>
+<div class="line"><a id="l00262" name="l00262"></a><span class="lineno">  262</span>        dst_impl = copy_or_downsample(dst_impl, sketch.get_lg_config_k());</div>
+<div class="line"><a id="l00263" name="l00263"></a><span class="lineno">  263</span>        gadget_.sketch_impl-&gt;get_deleter()(gadget_.sketch_impl); <span class="comment">// gadget to be replaced</span></div>
+<div class="line"><a id="l00264" name="l00264"></a><span class="lineno">  264</span>      }</div>
+<div class="line"><a id="l00265" name="l00265"></a><span class="lineno">  265</span>      <span class="keyword">const</span> HllArray&lt;A&gt;* src = <span class="keyword">static_cast&lt;</span><span class="keyword">const </span>HllArray&lt;A&gt;*<span class="keyword">&gt;</span>(src_impl);</div>
+<div class="line"><a id="l00266" name="l00266"></a><span class="lineno">  266</span>      <span class="keyword">static_cast&lt;</span>Hll8Array&lt;A&gt;*<span class="keyword">&gt;</span>(dst_impl)-&gt;mergeHll(*src);</div>
+<div class="line"><a id="l00267" name="l00267"></a><span class="lineno">  267</span>      dst_impl-&gt;putOutOfOrderFlag(<span class="keyword">true</span>);</div>
+<div class="line"><a id="l00268" name="l00268"></a><span class="lineno">  268</span>      <span class="keyword">static_cast&lt;</span>Hll8Array&lt;A&gt;*<span class="keyword">&gt;</span>(dst_impl)-&gt;putHipAccum(0);</div>
+<div class="line"><a id="l00269" name="l00269"></a><span class="lineno">  269</span>    }</div>
+<div class="line"><a id="l00270" name="l00270"></a><span class="lineno">  270</span>  } <span class="keywordflow">else</span> { <span class="comment">// src is HLL, gadget is empty</span></div>
+<div class="line"><a id="l00271" name="l00271"></a><span class="lineno">  271</span>    dst_impl = copy_or_downsample(src_impl, lg_max_k);</div>
+<div class="line"><a id="l00272" name="l00272"></a><span class="lineno">  272</span>    gadget_.sketch_impl-&gt;get_deleter()(gadget_.sketch_impl); <span class="comment">// gadget to be replaced</span></div>
+<div class="line"><a id="l00273" name="l00273"></a><span class="lineno">  273</span>  }</div>
+<div class="line"><a id="l00274" name="l00274"></a><span class="lineno">  274</span>  gadget_.sketch_impl = dst_impl; <span class="comment">// gadget replaced</span></div>
 <div class="line"><a id="l00275" name="l00275"></a><span class="lineno">  275</span>}</div>
 <div class="line"><a id="l00276" name="l00276"></a><span class="lineno">  276</span> </div>
-<div class="line"><a id="l00277" name="l00277"></a><span class="lineno">  277</span><span class="preprocessor">#endif </span><span class="comment">// _HLLUNION_INTERNAL_HPP_</span></div>
+<div class="line"><a id="l00277" name="l00277"></a><span class="lineno">  277</span>}</div>
+<div class="line"><a id="l00278" name="l00278"></a><span class="lineno">  278</span> </div>
+<div class="line"><a id="l00279" name="l00279"></a><span class="lineno">  279</span><span class="preprocessor">#endif </span><span class="comment">// _HLLUNION_INTERNAL_HPP_</span></div>
 <div class="ttc" id="aclassdatasketches_1_1HllSketchImpl_html"><div class="ttname"><a href="classdatasketches_1_1HllSketchImpl.html">datasketches::HllSketchImpl</a></div><div class="ttdoc">This is a high performance implementation of Phillipe Flajolet's HLL sketch but with significantly im...</div><div class="ttdef"><b>Definition</b> HllSketchImpl.hpp:31</div></div>
-<div class="ttc" id="aclassdatasketches_1_1hll__union__alloc_html"><div class="ttname"><a href="classdatasketches_1_1hll__union__alloc.html">datasketches::hll_union_alloc</a></div><div class="ttdoc">This performs union operations for HLL sketches.</div><div class="ttdef"><b>Definition</b> hll.hpp:446</div></div>
-<div class="ttc" id="aclassdatasketches_1_1hll__union__alloc_html_a0387c920d914fe59fd3c4c53a9a99093"><div class="ttname"><a href="classdatasketches_1_1hll__union__alloc.html#a0387c920d914fe59fd3c4c53a9a99093">datasketches::hll_union_alloc::get_target_type</a></div><div class="ttdeci">target_hll_type get_target_type() const</div><div class="ttdoc">Returns the union's target HLL mode (from target_hll_type).</div><div class="ttdef"><b>Definition</b> HllUnion-internal.hpp:198</div></div>
+<div class="ttc" id="aclassdatasketches_1_1hll__union__alloc_html"><div class="ttname"><a href="classdatasketches_1_1hll__union__alloc.html">datasketches::hll_union_alloc</a></div><div class="ttdoc">This performs union operations for HLL sketches.</div><div class="ttdef"><b>Definition</b> hll.hpp:453</div></div>
+<div class="ttc" id="aclassdatasketches_1_1hll__union__alloc_html_a0387c920d914fe59fd3c4c53a9a99093"><div class="ttname"><a href="classdatasketches_1_1hll__union__alloc.html#a0387c920d914fe59fd3c4c53a9a99093">datasketches::hll_union_alloc::get_target_type</a></div><div class="ttdeci">target_hll_type get_target_type() const</div><div class="ttdoc">Returns the union's target HLL mode (from target_hll_type).</div><div class="ttdef"><b>Definition</b> HllUnion-internal.hpp:200</div></div>
 <div class="ttc" id="aclassdatasketches_1_1hll__union__alloc_html_a1d6c3cd1e88796786ea124a7aed3800d"><div class="ttname"><a href="classdatasketches_1_1hll__union__alloc.html#a1d6c3cd1e88796786ea124a7aed3800d">datasketches::hll_union_alloc::get_composite_estimate</a></div><div class="ttdeci">double get_composite_estimate() const</div><div class="ttdoc">This is less accurate than the get_estimate() method and is automatically used when the union has gon...</div><div class="ttdef"><b>Defini [...]
 <div class="ttc" id="aclassdatasketches_1_1hll__union__alloc_html_a2afb71f2ef2d82290be4c8eafc08f2a2"><div class="ttname"><a href="classdatasketches_1_1hll__union__alloc.html#a2afb71f2ef2d82290be4c8eafc08f2a2">datasketches::hll_union_alloc::get_estimate</a></div><div class="ttdeci">double get_estimate() const</div><div class="ttdoc">Returns the current cardinality estimate.</div><div class="ttdef"><b>Definition</b> HllUnion-internal.hpp:136</div></div>
 <div class="ttc" id="aclassdatasketches_1_1hll__union__alloc_html_a3af0c80a1b31f0e5dd32d140943bf065"><div class="ttname"><a href="classdatasketches_1_1hll__union__alloc.html#a3af0c80a1b31f0e5dd32d140943bf065">datasketches::hll_union_alloc::update</a></div><div class="ttdeci">void update(const hll_sketch_alloc&lt; A &gt; &amp;sketch)</div><div class="ttdoc">Update this union operator with the given sketch.</div><div class="ttdef"><b>Definition</b> HllUnion-internal.hpp:49</div></div>
 <div class="ttc" id="aclassdatasketches_1_1hll__union__alloc_html_a505bdafe096c4fc8adef4f8438b2da25"><div class="ttname"><a href="classdatasketches_1_1hll__union__alloc.html#a505bdafe096c4fc8adef4f8438b2da25">datasketches::hll_union_alloc::get_result</a></div><div class="ttdeci">hll_sketch_alloc&lt; A &gt; get_result(target_hll_type tgt_type=HLL_4) const</div><div class="ttdoc">Returns the result of this union operator with the specified target_hll_type.</div><div class="ttdef"><b>Defini [...]
-<div class="ttc" id="aclassdatasketches_1_1hll__union__alloc_html_a5a2b7a58dc85678d08752945ff655362"><div class="ttname"><a href="classdatasketches_1_1hll__union__alloc.html#a5a2b7a58dc85678d08752945ff655362">datasketches::hll_union_alloc::is_empty</a></div><div class="ttdeci">bool is_empty() const</div><div class="ttdoc">Indicates if the union is currently empty.</div><div class="ttdef"><b>Definition</b> HllUnion-internal.hpp:178</div></div>
+<div class="ttc" id="aclassdatasketches_1_1hll__union__alloc_html_a5a2b7a58dc85678d08752945ff655362"><div class="ttname"><a href="classdatasketches_1_1hll__union__alloc.html#a5a2b7a58dc85678d08752945ff655362">datasketches::hll_union_alloc::is_empty</a></div><div class="ttdeci">bool is_empty() const</div><div class="ttdoc">Indicates if the union is currently empty.</div><div class="ttdef"><b>Definition</b> HllUnion-internal.hpp:180</div></div>
 <div class="ttc" id="aclassdatasketches_1_1hll__union__alloc_html_aacaad8ccad500578a2cae9bef58ad436"><div class="ttname"><a href="classdatasketches_1_1hll__union__alloc.html#aacaad8ccad500578a2cae9bef58ad436">datasketches::hll_union_alloc::get_lg_config_k</a></div><div class="ttdeci">uint8_t get_lg_config_k() const</div><div class="ttdoc">Returns union's configured lg_k value.</div><div class="ttdef"><b>Definition</b> HllUnion-internal.hpp:168</div></div>
 <div class="ttc" id="aclassdatasketches_1_1hll__union__alloc_html_ab6cbf0e7b9ad7dc653d8cb7bc02e8ee4"><div class="ttname"><a href="classdatasketches_1_1hll__union__alloc.html#ab6cbf0e7b9ad7dc653d8cb7bc02e8ee4">datasketches::hll_union_alloc::get_lower_bound</a></div><div class="ttdeci">double get_lower_bound(uint8_t num_std_dev) const</div><div class="ttdoc">Returns the approximate lower error bound given the specified number of standard deviations.</div><div class="ttdef"><b>Definition</b [...]
 <div class="ttc" id="aclassdatasketches_1_1hll__union__alloc_html_abdb81912e4fcd2547e27c0165affbb99"><div class="ttname"><a href="classdatasketches_1_1hll__union__alloc.html#abdb81912e4fcd2547e27c0165affbb99">datasketches::hll_union_alloc::hll_union_alloc</a></div><div class="ttdeci">hll_union_alloc(uint8_t lg_max_k, const A &amp;allocator=A())</div><div class="ttdoc">Construct an hll_union operator with the given maximum log2 of k.</div><div class="ttdef"><b>Definition</b> HllUnion-inte [...]
 <div class="ttc" id="aclassdatasketches_1_1hll__union__alloc_html_ad20897c5c8bd47f5d4005989bead0e55"><div class="ttname"><a href="classdatasketches_1_1hll__union__alloc.html#ad20897c5c8bd47f5d4005989bead0e55">datasketches::hll_union_alloc::reset</a></div><div class="ttdeci">void reset()</div><div class="ttdoc">Resets the union to an empty state in coupon collection mode.</div><div class="ttdef"><b>Definition</b> HllUnion-internal.hpp:173</div></div>
-<div class="ttc" id="aclassdatasketches_1_1hll__union__alloc_html_af1abb48488246839a8732c9f20e3f7db"><div class="ttname"><a href="classdatasketches_1_1hll__union__alloc.html#af1abb48488246839a8732c9f20e3f7db">datasketches::hll_union_alloc::get_rel_err</a></div><div class="ttdeci">static double get_rel_err(bool upper_bound, bool unioned, uint8_t lg_config_k, uint8_t num_std_dev)</div><div class="ttdoc">Gets the current (approximate) Relative Error (RE) asymptotic values given several para [...]
+<div class="ttc" id="aclassdatasketches_1_1hll__union__alloc_html_af1abb48488246839a8732c9f20e3f7db"><div class="ttname"><a href="classdatasketches_1_1hll__union__alloc.html#af1abb48488246839a8732c9f20e3f7db">datasketches::hll_union_alloc::get_rel_err</a></div><div class="ttdeci">static double get_rel_err(bool upper_bound, bool unioned, uint8_t lg_config_k, uint8_t num_std_dev)</div><div class="ttdoc">Gets the current (approximate) Relative Error (RE) asymptotic values given several para [...]
 <div class="ttc" id="aclassdatasketches_1_1hll__union__alloc_html_afb6dfbdd1229e025d57402ac22c1cd2c"><div class="ttname"><a href="classdatasketches_1_1hll__union__alloc.html#afb6dfbdd1229e025d57402ac22c1cd2c">datasketches::hll_union_alloc::get_upper_bound</a></div><div class="ttdeci">double get_upper_bound(uint8_t num_std_dev) const</div><div class="ttdoc">Returns the approximate upper error bound given the specified number of standard deviations.</div><div class="ttdef"><b>Definition</b [...]
 <div class="ttc" id="anamespacedatasketches_html"><div class="ttname"><a href="namespacedatasketches.html">datasketches</a></div><div class="ttdoc">DataSketches namespace.</div><div class="ttdef"><b>Definition</b> binomial_bounds.hpp:38</div></div>
 <div class="ttc" id="anamespacedatasketches_html_a76c1ad9235877691984d49415bb263e4"><div class="ttname"><a href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4">datasketches::target_hll_type</a></div><div class="ttdeci">target_hll_type</div><div class="ttdoc">Specifies the target type of HLL sketch to be created.</div><div class="ttdef"><b>Definition</b> hll.hpp:72</div></div>
diff --git a/docs/master/HllUtil_8hpp_source.html b/docs/master/HllUtil_8hpp_source.html
index 91c7d9d..1538bb6 100644
--- a/docs/master/HllUtil_8hpp_source.html
+++ b/docs/master/HllUtil_8hpp_source.html
@@ -126,185 +126,193 @@ $(document).ready(function() { init_codefold(0); });
 <div class="line"><a id="l00043" name="l00043"></a><span class="lineno">   43</span><span class="keyword">static</span> <span class="keyword">const</span> uint8_t EMPTY_FLAG_MASK          = 4;</div>
 <div class="line"><a id="l00044" name="l00044"></a><span class="lineno">   44</span><span class="keyword">static</span> <span class="keyword">const</span> uint8_t COMPACT_FLAG_MASK        = 8;</div>
 <div class="line"><a id="l00045" name="l00045"></a><span class="lineno">   45</span><span class="keyword">static</span> <span class="keyword">const</span> uint8_t OUT_OF_ORDER_FLAG_MASK   = 16;</div>
-<div class="line"><a id="l00046" name="l00046"></a><span class="lineno">   46</span><span class="keyword">static</span> <span class="keyword">const</span> uint8_t FULL_SIZE_FLAG_MASK      = 32;</div>
-<div class="line"><a id="l00047" name="l00047"></a><span class="lineno">   47</span> </div>
-<div class="line"><a id="l00048" name="l00048"></a><span class="lineno">   48</span><span class="keyword">static</span> <span class="keyword">const</span> uint32_t PREAMBLE_INTS_BYTE = 0;</div>
-<div class="line"><a id="l00049" name="l00049"></a><span class="lineno">   49</span><span class="keyword">static</span> <span class="keyword">const</span> uint32_t SER_VER_BYTE       = 1;</div>
-<div class="line"><a id="l00050" name="l00050"></a><span class="lineno">   50</span><span class="keyword">static</span> <span class="keyword">const</span> uint32_t FAMILY_BYTE        = 2;</div>
-<div class="line"><a id="l00051" name="l00051"></a><span class="lineno">   51</span><span class="keyword">static</span> <span class="keyword">const</span> uint32_t LG_K_BYTE          = 3;</div>
-<div class="line"><a id="l00052" name="l00052"></a><span class="lineno">   52</span><span class="keyword">static</span> <span class="keyword">const</span> uint32_t LG_ARR_BYTE        = 4;</div>
-<div class="line"><a id="l00053" name="l00053"></a><span class="lineno">   53</span><span class="keyword">static</span> <span class="keyword">const</span> uint32_t FLAGS_BYTE         = 5;</div>
-<div class="line"><a id="l00054" name="l00054"></a><span class="lineno">   54</span><span class="keyword">static</span> <span class="keyword">const</span> uint32_t LIST_COUNT_BYTE    = 6;</div>
-<div class="line"><a id="l00055" name="l00055"></a><span class="lineno">   55</span><span class="keyword">static</span> <span class="keyword">const</span> uint32_t HLL_CUR_MIN_BYTE   = 6;</div>
-<div class="line"><a id="l00056" name="l00056"></a><span class="lineno">   56</span><span class="keyword">static</span> <span class="keyword">const</span> uint32_t MODE_BYTE          = 7; <span class="comment">// lo2bits = curMode, next 2 bits = tgtHllMode</span></div>
-<div class="line"><a id="l00057" name="l00057"></a><span class="lineno">   57</span> </div>
-<div class="line"><a id="l00058" name="l00058"></a><span class="lineno">   58</span><span class="comment">// Coupon List</span></div>
-<div class="line"><a id="l00059" name="l00059"></a><span class="lineno">   59</span><span class="keyword">static</span> <span class="keyword">const</span> uint32_t LIST_INT_ARR_START = 8;</div>
-<div class="line"><a id="l00060" name="l00060"></a><span class="lineno">   60</span><span class="keyword">static</span> <span class="keyword">const</span> uint8_t LIST_PREINTS = 2;</div>
-<div class="line"><a id="l00061" name="l00061"></a><span class="lineno">   61</span><span class="comment">// Coupon Hash Set</span></div>
-<div class="line"><a id="l00062" name="l00062"></a><span class="lineno">   62</span><span class="keyword">static</span> <span class="keyword">const</span> uint32_t HASH_SET_COUNT_INT             = 8;</div>
-<div class="line"><a id="l00063" name="l00063"></a><span class="lineno">   63</span><span class="keyword">static</span> <span class="keyword">const</span> uint32_t HASH_SET_INT_ARR_START         = 12;</div>
-<div class="line"><a id="l00064" name="l00064"></a><span class="lineno">   64</span><span class="keyword">static</span> <span class="keyword">const</span> uint8_t HASH_SET_PREINTS         = 3;</div>
-<div class="line"><a id="l00065" name="l00065"></a><span class="lineno">   65</span><span class="comment">// HLL</span></div>
-<div class="line"><a id="l00066" name="l00066"></a><span class="lineno">   66</span><span class="keyword">static</span> <span class="keyword">const</span> uint8_t HLL_PREINTS = 10;</div>
-<div class="line"><a id="l00067" name="l00067"></a><span class="lineno">   67</span><span class="keyword">static</span> <span class="keyword">const</span> uint32_t HLL_BYTE_ARR_START = 40;</div>
-<div class="line"><a id="l00068" name="l00068"></a><span class="lineno">   68</span><span class="keyword">static</span> <span class="keyword">const</span> uint32_t HIP_ACCUM_DOUBLE = 8;</div>
-<div class="line"><a id="l00069" name="l00069"></a><span class="lineno">   69</span><span class="keyword">static</span> <span class="keyword">const</span> uint32_t KXQ0_DOUBLE = 16;</div>
-<div class="line"><a id="l00070" name="l00070"></a><span class="lineno">   70</span><span class="keyword">static</span> <span class="keyword">const</span> uint32_t KXQ1_DOUBLE = 24;</div>
-<div class="line"><a id="l00071" name="l00071"></a><span class="lineno">   71</span><span class="keyword">static</span> <span class="keyword">const</span> uint32_t CUR_MIN_COUNT_INT = 32;</div>
-<div class="line"><a id="l00072" name="l00072"></a><span class="lineno">   72</span><span class="keyword">static</span> <span class="keyword">const</span> uint32_t AUX_COUNT_INT = 36;</div>
-<div class="line"><a id="l00073" name="l00073"></a><span class="lineno">   73</span> </div>
-<div class="line"><a id="l00074" name="l00074"></a><span class="lineno">   74</span><span class="keyword">static</span> <span class="keyword">const</span> uint32_t EMPTY_SKETCH_SIZE_BYTES = 8;</div>
-<div class="line"><a id="l00075" name="l00075"></a><span class="lineno">   75</span> </div>
-<div class="line"><a id="l00076" name="l00076"></a><span class="lineno">   76</span><span class="comment">// other HllUtil stuff</span></div>
-<div class="line"><a id="l00077" name="l00077"></a><span class="lineno">   77</span><span class="keyword">static</span> <span class="keyword">const</span> uint8_t KEY_BITS_26 = 26;</div>
-<div class="line"><a id="l00078" name="l00078"></a><span class="lineno">   78</span><span class="keyword">static</span> <span class="keyword">const</span> uint8_t VAL_BITS_6 = 6;</div>
-<div class="line"><a id="l00079" name="l00079"></a><span class="lineno">   79</span><span class="keyword">static</span> <span class="keyword">const</span> uint32_t KEY_MASK_26 = (1 &lt;&lt; KEY_BITS_26) - 1;</div>
-<div class="line"><a id="l00080" name="l00080"></a><span class="lineno">   80</span><span class="keyword">static</span> <span class="keyword">const</span> uint32_t VAL_MASK_6 = (1 &lt;&lt; VAL_BITS_6) - 1;</div>
-<div class="line"><a id="l00081" name="l00081"></a><span class="lineno">   81</span><span class="keyword">static</span> <span class="keyword">const</span> uint32_t EMPTY = 0;</div>
-<div class="line"><a id="l00082" name="l00082"></a><span class="lineno">   82</span><span class="keyword">static</span> <span class="keyword">const</span> uint8_t MIN_LOG_K = 4;</div>
-<div class="line"><a id="l00083" name="l00083"></a><span class="lineno">   83</span><span class="keyword">static</span> <span class="keyword">const</span> uint8_t MAX_LOG_K = 21;</div>
-<div class="line"><a id="l00084" name="l00084"></a><span class="lineno">   84</span> </div>
-<div class="line"><a id="l00085" name="l00085"></a><span class="lineno">   85</span><span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">double</span> HLL_HIP_RSE_FACTOR = 0.8325546; <span class="comment">// sqrt(ln(2))</span></div>
-<div class="line"><a id="l00086" name="l00086"></a><span class="lineno">   86</span><span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">double</span> HLL_NON_HIP_RSE_FACTOR = 1.03896; <span class="comment">// sqrt((3 * ln(2)) - 1)</span></div>
-<div class="line"><a id="l00087" name="l00087"></a><span class="lineno">   87</span><span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">double</span> COUPON_RSE_FACTOR = 0.409; <span class="comment">// at transition point not the asymptote</span></div>
-<div class="line"><a id="l00088" name="l00088"></a><span class="lineno">   88</span><span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">double</span> COUPON_RSE = COUPON_RSE_FACTOR / (1 &lt;&lt; 13);</div>
-<div class="line"><a id="l00089" name="l00089"></a><span class="lineno">   89</span> </div>
-<div class="line"><a id="l00090" name="l00090"></a><span class="lineno">   90</span><span class="keyword">static</span> <span class="keyword">const</span> uint8_t LG_INIT_LIST_SIZE = 3;</div>
-<div class="line"><a id="l00091" name="l00091"></a><span class="lineno">   91</span><span class="keyword">static</span> <span class="keyword">const</span> uint8_t LG_INIT_SET_SIZE = 5;</div>
-<div class="line"><a id="l00092" name="l00092"></a><span class="lineno">   92</span><span class="keyword">static</span> <span class="keyword">const</span> uint32_t RESIZE_NUMER = 3;</div>
-<div class="line"><a id="l00093" name="l00093"></a><span class="lineno">   93</span><span class="keyword">static</span> <span class="keyword">const</span> uint32_t RESIZE_DENOM = 4;</div>
-<div class="line"><a id="l00094" name="l00094"></a><span class="lineno">   94</span> </div>
-<div class="line"><a id="l00095" name="l00095"></a><span class="lineno">   95</span><span class="keyword">static</span> <span class="keyword">const</span> uint8_t loNibbleMask = 0x0f;</div>
-<div class="line"><a id="l00096" name="l00096"></a><span class="lineno">   96</span><span class="keyword">static</span> <span class="keyword">const</span> uint8_t hiNibbleMask = 0xf0;</div>
-<div class="line"><a id="l00097" name="l00097"></a><span class="lineno">   97</span><span class="keyword">static</span> <span class="keyword">const</span> uint8_t AUX_TOKEN = 0xf;</div>
-<div class="line"><a id="l00098" name="l00098"></a><span class="lineno">   98</span> </div>
-<div class="line"><a id="l00103" name="l00103"></a><span class="lineno">  103</span><span class="keyword">static</span> <span class="keyword">const</span> uint8_t LG_AUX_ARR_INTS[] = {</div>
-<div class="line"><a id="l00104" name="l00104"></a><span class="lineno">  104</span>  0, 2, 2, 2, 2, 2, 2, 3, 3, 3,   <span class="comment">// 0 - 9</span></div>
-<div class="line"><a id="l00105" name="l00105"></a><span class="lineno">  105</span>  4, 4, 5, 5, 6, 7, 8, 9, 10, 11, <span class="comment">// 10-19</span></div>
-<div class="line"><a id="l00106" name="l00106"></a><span class="lineno">  106</span>  12, 13, 14, 15, 16, 17, 18      <span class="comment">// 20-26</span></div>
-<div class="line"><a id="l00107" name="l00107"></a><span class="lineno">  107</span>};</div>
-<div class="line"><a id="l00108" name="l00108"></a><span class="lineno">  108</span> </div>
-<div class="line"><a id="l00109" name="l00109"></a><span class="lineno">  109</span>} <span class="comment">// namespace hll_constants</span></div>
-<div class="line"><a id="l00110" name="l00110"></a><span class="lineno">  110</span> </div>
-<div class="line"><a id="l00111" name="l00111"></a><span class="lineno">  111</span> </div>
-<div class="line"><a id="l00112" name="l00112"></a><span class="lineno">  112</span><span class="comment">// template provides internal consistency and allows static float values</span></div>
-<div class="line"><a id="l00113" name="l00113"></a><span class="lineno">  113</span><span class="comment">// but we don&#39;t use the template parameter anywhere</span></div>
-<div class="line"><a id="l00114" name="l00114"></a><span class="lineno">  114</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A = std::allocator&lt;u<span class="keywordtype">int</span>8_t&gt; &gt;</div>
-<div class="line"><a id="l00115" name="l00115"></a><span class="lineno">  115</span><span class="keyword">class </span>HllUtil final {</div>
-<div class="line"><a id="l00116" name="l00116"></a><span class="lineno">  116</span><span class="keyword">public</span>:</div>
-<div class="line"><a id="l00117" name="l00117"></a><span class="lineno">  117</span> </div>
-<div class="line"><a id="l00118" name="l00118"></a><span class="lineno">  118</span>  <span class="keyword">static</span> uint32_t coupon(<span class="keyword">const</span> uint64_t hash[]);</div>
-<div class="line"><a id="l00119" name="l00119"></a><span class="lineno">  119</span>  <span class="keyword">static</span> uint32_t coupon(<span class="keyword">const</span> HashState&amp; hashState);</div>
-<div class="line"><a id="l00120" name="l00120"></a><span class="lineno">  120</span>  <span class="keyword">static</span> <span class="keywordtype">void</span> hash(<span class="keyword">const</span> <span class="keywordtype">void</span>* key, <span class="keywordtype">size_t</span> keyLen, uint64_t seed, HashState&amp; result);</div>
-<div class="line"><a id="l00121" name="l00121"></a><span class="lineno">  121</span>  <span class="keyword">static</span> uint8_t checkLgK(uint8_t lgK);</div>
-<div class="line"><a id="l00122" name="l00122"></a><span class="lineno">  122</span>  <span class="keyword">static</span> <span class="keywordtype">void</span> checkMemSize(uint64_t minBytes, uint64_t capBytes);</div>
-<div class="line"><a id="l00123" name="l00123"></a><span class="lineno">  123</span>  <span class="keyword">static</span> <span class="keyword">inline</span> <span class="keywordtype">void</span> checkNumStdDev(uint8_t numStdDev);</div>
-<div class="line"><a id="l00124" name="l00124"></a><span class="lineno">  124</span>  <span class="keyword">static</span> uint32_t pair(uint32_t slotNo, uint8_t value);</div>
-<div class="line"><a id="l00125" name="l00125"></a><span class="lineno">  125</span>  <span class="keyword">static</span> uint32_t getLow26(uint32_t coupon);</div>
-<div class="line"><a id="l00126" name="l00126"></a><span class="lineno">  126</span>  <span class="keyword">static</span> uint8_t getValue(uint32_t coupon);</div>
-<div class="line"><a id="l00127" name="l00127"></a><span class="lineno">  127</span>  <span class="keyword">static</span> uint8_t simpleIntLog2(uint32_t n); <span class="comment">// n must be power of 2</span></div>
-<div class="line"><a id="l00128" name="l00128"></a><span class="lineno">  128</span>  <span class="keyword">static</span> uint8_t computeLgArrInts(hll_mode mode, uint32_t count, uint8_t lgConfigK);</div>
-<div class="line"><a id="l00129" name="l00129"></a><span class="lineno">  129</span>  <span class="keyword">static</span> <span class="keywordtype">double</span> getRelErr(<span class="keywordtype">bool</span> upperBound, <span class="keywordtype">bool</span> unioned, uint8_t lgConfigK, uint8_t numStdDev);</div>
-<div class="line"><a id="l00130" name="l00130"></a><span class="lineno">  130</span>};</div>
-<div class="line"><a id="l00131" name="l00131"></a><span class="lineno">  131</span> </div>
-<div class="line"><a id="l00132" name="l00132"></a><span class="lineno">  132</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00133" name="l00133"></a><span class="lineno">  133</span><span class="keyword">inline</span> uint32_t HllUtil&lt;A&gt;::coupon(<span class="keyword">const</span> uint64_t hash[]) {</div>
-<div class="line"><a id="l00134" name="l00134"></a><span class="lineno">  134</span>  uint32_t addr26 = hash[0] &amp; hll_constants::KEY_MASK_26;</div>
-<div class="line"><a id="l00135" name="l00135"></a><span class="lineno">  135</span>  uint8_t lz = count_leading_zeros_in_u64(hash[1]);</div>
-<div class="line"><a id="l00136" name="l00136"></a><span class="lineno">  136</span>  uint8_t value = ((lz &gt; 62 ? 62 : lz) + 1); </div>
-<div class="line"><a id="l00137" name="l00137"></a><span class="lineno">  137</span>  <span class="keywordflow">return</span> (value &lt;&lt; hll_constants::KEY_BITS_26) | addr26;</div>
-<div class="line"><a id="l00138" name="l00138"></a><span class="lineno">  138</span>}</div>
+<div class="line"><a id="l00046" name="l00046"></a><span class="lineno">   46</span><span class="comment">// Bit 32 is RESERVED and must not be written or interpreted.</span></div>
+<div class="line"><a id="l00047" name="l00047"></a><span class="lineno">   47</span><span class="comment">// It was formerly FULL_SIZE_FLAG_MASK here, while datasketches-java uses the same bit as</span></div>
+<div class="line"><a id="l00048" name="l00048"></a><span class="lineno">   48</span><span class="comment">// REBUILD_CURMIN_NUM_KXQ_MASK for its union gadget. The two meanings collided across</span></div>
+<div class="line"><a id="l00049" name="l00049"></a><span class="lineno">   49</span><span class="comment">// implementations, so this side no longer writes or reads it. Do not reuse: bits 64 and 128</span></div>
+<div class="line"><a id="l00050" name="l00050"></a><span class="lineno">   50</span><span class="comment">// are free.</span></div>
+<div class="line"><a id="l00051" name="l00051"></a><span class="lineno">   51</span><span class="keyword">static</span> <span class="keyword">const</span> uint8_t RESERVED_FLAG_MASK_32    = 32;</div>
+<div class="line"><a id="l00052" name="l00052"></a><span class="lineno">   52</span><span class="comment">// Deprecated alias for the bit above, retained for source compatibility. Do not use.</span></div>
+<div class="line"><a id="l00053" name="l00053"></a><span class="lineno">   53</span><span class="comment">// (No [[deprecated]] attribute: this library targets C++11, where it is unavailable.)</span></div>
+<div class="line"><a id="l00054" name="l00054"></a><span class="lineno">   54</span><span class="keyword">static</span> <span class="keyword">const</span> uint8_t FULL_SIZE_FLAG_MASK      = RESERVED_FLAG_MASK_32;</div>
+<div class="line"><a id="l00055" name="l00055"></a><span class="lineno">   55</span> </div>
+<div class="line"><a id="l00056" name="l00056"></a><span class="lineno">   56</span><span class="keyword">static</span> <span class="keyword">const</span> uint32_t PREAMBLE_INTS_BYTE = 0;</div>
+<div class="line"><a id="l00057" name="l00057"></a><span class="lineno">   57</span><span class="keyword">static</span> <span class="keyword">const</span> uint32_t SER_VER_BYTE       = 1;</div>
+<div class="line"><a id="l00058" name="l00058"></a><span class="lineno">   58</span><span class="keyword">static</span> <span class="keyword">const</span> uint32_t FAMILY_BYTE        = 2;</div>
+<div class="line"><a id="l00059" name="l00059"></a><span class="lineno">   59</span><span class="keyword">static</span> <span class="keyword">const</span> uint32_t LG_K_BYTE          = 3;</div>
+<div class="line"><a id="l00060" name="l00060"></a><span class="lineno">   60</span><span class="keyword">static</span> <span class="keyword">const</span> uint32_t LG_ARR_BYTE        = 4;</div>
+<div class="line"><a id="l00061" name="l00061"></a><span class="lineno">   61</span><span class="keyword">static</span> <span class="keyword">const</span> uint32_t FLAGS_BYTE         = 5;</div>
+<div class="line"><a id="l00062" name="l00062"></a><span class="lineno">   62</span><span class="keyword">static</span> <span class="keyword">const</span> uint32_t LIST_COUNT_BYTE    = 6;</div>
+<div class="line"><a id="l00063" name="l00063"></a><span class="lineno">   63</span><span class="keyword">static</span> <span class="keyword">const</span> uint32_t HLL_CUR_MIN_BYTE   = 6;</div>
+<div class="line"><a id="l00064" name="l00064"></a><span class="lineno">   64</span><span class="keyword">static</span> <span class="keyword">const</span> uint32_t MODE_BYTE          = 7; <span class="comment">// lo2bits = curMode, next 2 bits = tgtHllMode</span></div>
+<div class="line"><a id="l00065" name="l00065"></a><span class="lineno">   65</span> </div>
+<div class="line"><a id="l00066" name="l00066"></a><span class="lineno">   66</span><span class="comment">// Coupon List</span></div>
+<div class="line"><a id="l00067" name="l00067"></a><span class="lineno">   67</span><span class="keyword">static</span> <span class="keyword">const</span> uint32_t LIST_INT_ARR_START = 8;</div>
+<div class="line"><a id="l00068" name="l00068"></a><span class="lineno">   68</span><span class="keyword">static</span> <span class="keyword">const</span> uint8_t LIST_PREINTS = 2;</div>
+<div class="line"><a id="l00069" name="l00069"></a><span class="lineno">   69</span><span class="comment">// Coupon Hash Set</span></div>
+<div class="line"><a id="l00070" name="l00070"></a><span class="lineno">   70</span><span class="keyword">static</span> <span class="keyword">const</span> uint32_t HASH_SET_COUNT_INT             = 8;</div>
+<div class="line"><a id="l00071" name="l00071"></a><span class="lineno">   71</span><span class="keyword">static</span> <span class="keyword">const</span> uint32_t HASH_SET_INT_ARR_START         = 12;</div>
+<div class="line"><a id="l00072" name="l00072"></a><span class="lineno">   72</span><span class="keyword">static</span> <span class="keyword">const</span> uint8_t HASH_SET_PREINTS         = 3;</div>
+<div class="line"><a id="l00073" name="l00073"></a><span class="lineno">   73</span><span class="comment">// HLL</span></div>
+<div class="line"><a id="l00074" name="l00074"></a><span class="lineno">   74</span><span class="keyword">static</span> <span class="keyword">const</span> uint8_t HLL_PREINTS = 10;</div>
+<div class="line"><a id="l00075" name="l00075"></a><span class="lineno">   75</span><span class="keyword">static</span> <span class="keyword">const</span> uint32_t HLL_BYTE_ARR_START = 40;</div>
+<div class="line"><a id="l00076" name="l00076"></a><span class="lineno">   76</span><span class="keyword">static</span> <span class="keyword">const</span> uint32_t HIP_ACCUM_DOUBLE = 8;</div>
+<div class="line"><a id="l00077" name="l00077"></a><span class="lineno">   77</span><span class="keyword">static</span> <span class="keyword">const</span> uint32_t KXQ0_DOUBLE = 16;</div>
+<div class="line"><a id="l00078" name="l00078"></a><span class="lineno">   78</span><span class="keyword">static</span> <span class="keyword">const</span> uint32_t KXQ1_DOUBLE = 24;</div>
+<div class="line"><a id="l00079" name="l00079"></a><span class="lineno">   79</span><span class="keyword">static</span> <span class="keyword">const</span> uint32_t CUR_MIN_COUNT_INT = 32;</div>
+<div class="line"><a id="l00080" name="l00080"></a><span class="lineno">   80</span><span class="keyword">static</span> <span class="keyword">const</span> uint32_t AUX_COUNT_INT = 36;</div>
+<div class="line"><a id="l00081" name="l00081"></a><span class="lineno">   81</span> </div>
+<div class="line"><a id="l00082" name="l00082"></a><span class="lineno">   82</span><span class="keyword">static</span> <span class="keyword">const</span> uint32_t EMPTY_SKETCH_SIZE_BYTES = 8;</div>
+<div class="line"><a id="l00083" name="l00083"></a><span class="lineno">   83</span> </div>
+<div class="line"><a id="l00084" name="l00084"></a><span class="lineno">   84</span><span class="comment">// other HllUtil stuff</span></div>
+<div class="line"><a id="l00085" name="l00085"></a><span class="lineno">   85</span><span class="keyword">static</span> <span class="keyword">const</span> uint8_t KEY_BITS_26 = 26;</div>
+<div class="line"><a id="l00086" name="l00086"></a><span class="lineno">   86</span><span class="keyword">static</span> <span class="keyword">const</span> uint8_t VAL_BITS_6 = 6;</div>
+<div class="line"><a id="l00087" name="l00087"></a><span class="lineno">   87</span><span class="keyword">static</span> <span class="keyword">const</span> uint32_t KEY_MASK_26 = (1 &lt;&lt; KEY_BITS_26) - 1;</div>
+<div class="line"><a id="l00088" name="l00088"></a><span class="lineno">   88</span><span class="keyword">static</span> <span class="keyword">const</span> uint32_t VAL_MASK_6 = (1 &lt;&lt; VAL_BITS_6) - 1;</div>
+<div class="line"><a id="l00089" name="l00089"></a><span class="lineno">   89</span><span class="keyword">static</span> <span class="keyword">const</span> uint32_t EMPTY = 0;</div>
+<div class="line"><a id="l00090" name="l00090"></a><span class="lineno">   90</span><span class="keyword">static</span> <span class="keyword">const</span> uint8_t MIN_LOG_K = 4;</div>
+<div class="line"><a id="l00091" name="l00091"></a><span class="lineno">   91</span><span class="keyword">static</span> <span class="keyword">const</span> uint8_t MAX_LOG_K = 21;</div>
+<div class="line"><a id="l00092" name="l00092"></a><span class="lineno">   92</span> </div>
+<div class="line"><a id="l00093" name="l00093"></a><span class="lineno">   93</span><span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">double</span> HLL_HIP_RSE_FACTOR = 0.8325546; <span class="comment">// sqrt(ln(2))</span></div>
+<div class="line"><a id="l00094" name="l00094"></a><span class="lineno">   94</span><span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">double</span> HLL_NON_HIP_RSE_FACTOR = 1.03896; <span class="comment">// sqrt((3 * ln(2)) - 1)</span></div>
+<div class="line"><a id="l00095" name="l00095"></a><span class="lineno">   95</span><span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">double</span> COUPON_RSE_FACTOR = 0.409; <span class="comment">// at transition point not the asymptote</span></div>
+<div class="line"><a id="l00096" name="l00096"></a><span class="lineno">   96</span><span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">double</span> COUPON_RSE = COUPON_RSE_FACTOR / (1 &lt;&lt; 13);</div>
+<div class="line"><a id="l00097" name="l00097"></a><span class="lineno">   97</span> </div>
+<div class="line"><a id="l00098" name="l00098"></a><span class="lineno">   98</span><span class="keyword">static</span> <span class="keyword">const</span> uint8_t LG_INIT_LIST_SIZE = 3;</div>
+<div class="line"><a id="l00099" name="l00099"></a><span class="lineno">   99</span><span class="keyword">static</span> <span class="keyword">const</span> uint8_t LG_INIT_SET_SIZE = 5;</div>
+<div class="line"><a id="l00100" name="l00100"></a><span class="lineno">  100</span><span class="keyword">static</span> <span class="keyword">const</span> uint32_t RESIZE_NUMER = 3;</div>
+<div class="line"><a id="l00101" name="l00101"></a><span class="lineno">  101</span><span class="keyword">static</span> <span class="keyword">const</span> uint32_t RESIZE_DENOM = 4;</div>
+<div class="line"><a id="l00102" name="l00102"></a><span class="lineno">  102</span> </div>
+<div class="line"><a id="l00103" name="l00103"></a><span class="lineno">  103</span><span class="keyword">static</span> <span class="keyword">const</span> uint8_t loNibbleMask = 0x0f;</div>
+<div class="line"><a id="l00104" name="l00104"></a><span class="lineno">  104</span><span class="keyword">static</span> <span class="keyword">const</span> uint8_t hiNibbleMask = 0xf0;</div>
+<div class="line"><a id="l00105" name="l00105"></a><span class="lineno">  105</span><span class="keyword">static</span> <span class="keyword">const</span> uint8_t AUX_TOKEN = 0xf;</div>
+<div class="line"><a id="l00106" name="l00106"></a><span class="lineno">  106</span> </div>
+<div class="line"><a id="l00111" name="l00111"></a><span class="lineno">  111</span><span class="keyword">static</span> <span class="keyword">const</span> uint8_t LG_AUX_ARR_INTS[] = {</div>
+<div class="line"><a id="l00112" name="l00112"></a><span class="lineno">  112</span>  0, 2, 2, 2, 2, 2, 2, 3, 3, 3,   <span class="comment">// 0 - 9</span></div>
+<div class="line"><a id="l00113" name="l00113"></a><span class="lineno">  113</span>  4, 4, 5, 5, 6, 7, 8, 9, 10, 11, <span class="comment">// 10-19</span></div>
+<div class="line"><a id="l00114" name="l00114"></a><span class="lineno">  114</span>  12, 13, 14, 15, 16, 17, 18      <span class="comment">// 20-26</span></div>
+<div class="line"><a id="l00115" name="l00115"></a><span class="lineno">  115</span>};</div>
+<div class="line"><a id="l00116" name="l00116"></a><span class="lineno">  116</span> </div>
+<div class="line"><a id="l00117" name="l00117"></a><span class="lineno">  117</span>} <span class="comment">// namespace hll_constants</span></div>
+<div class="line"><a id="l00118" name="l00118"></a><span class="lineno">  118</span> </div>
+<div class="line"><a id="l00119" name="l00119"></a><span class="lineno">  119</span> </div>
+<div class="line"><a id="l00120" name="l00120"></a><span class="lineno">  120</span><span class="comment">// template provides internal consistency and allows static float values</span></div>
+<div class="line"><a id="l00121" name="l00121"></a><span class="lineno">  121</span><span class="comment">// but we don&#39;t use the template parameter anywhere</span></div>
+<div class="line"><a id="l00122" name="l00122"></a><span class="lineno">  122</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A = std::allocator&lt;u<span class="keywordtype">int</span>8_t&gt; &gt;</div>
+<div class="line"><a id="l00123" name="l00123"></a><span class="lineno">  123</span><span class="keyword">class </span>HllUtil final {</div>
+<div class="line"><a id="l00124" name="l00124"></a><span class="lineno">  124</span><span class="keyword">public</span>:</div>
+<div class="line"><a id="l00125" name="l00125"></a><span class="lineno">  125</span> </div>
+<div class="line"><a id="l00126" name="l00126"></a><span class="lineno">  126</span>  <span class="keyword">static</span> uint32_t coupon(<span class="keyword">const</span> uint64_t hash[]);</div>
+<div class="line"><a id="l00127" name="l00127"></a><span class="lineno">  127</span>  <span class="keyword">static</span> uint32_t coupon(<span class="keyword">const</span> HashState&amp; hashState);</div>
+<div class="line"><a id="l00128" name="l00128"></a><span class="lineno">  128</span>  <span class="keyword">static</span> <span class="keywordtype">void</span> hash(<span class="keyword">const</span> <span class="keywordtype">void</span>* key, <span class="keywordtype">size_t</span> keyLen, uint64_t seed, HashState&amp; result);</div>
+<div class="line"><a id="l00129" name="l00129"></a><span class="lineno">  129</span>  <span class="keyword">static</span> uint8_t checkLgK(uint8_t lgK);</div>
+<div class="line"><a id="l00130" name="l00130"></a><span class="lineno">  130</span>  <span class="keyword">static</span> <span class="keywordtype">void</span> checkMemSize(uint64_t minBytes, uint64_t capBytes);</div>
+<div class="line"><a id="l00131" name="l00131"></a><span class="lineno">  131</span>  <span class="keyword">static</span> <span class="keyword">inline</span> <span class="keywordtype">void</span> checkNumStdDev(uint8_t numStdDev);</div>
+<div class="line"><a id="l00132" name="l00132"></a><span class="lineno">  132</span>  <span class="keyword">static</span> uint32_t pair(uint32_t slotNo, uint8_t value);</div>
+<div class="line"><a id="l00133" name="l00133"></a><span class="lineno">  133</span>  <span class="keyword">static</span> uint32_t getLow26(uint32_t coupon);</div>
+<div class="line"><a id="l00134" name="l00134"></a><span class="lineno">  134</span>  <span class="keyword">static</span> uint8_t getValue(uint32_t coupon);</div>
+<div class="line"><a id="l00135" name="l00135"></a><span class="lineno">  135</span>  <span class="keyword">static</span> uint8_t simpleIntLog2(uint32_t n); <span class="comment">// n must be power of 2</span></div>
+<div class="line"><a id="l00136" name="l00136"></a><span class="lineno">  136</span>  <span class="keyword">static</span> uint8_t computeLgArrInts(hll_mode mode, uint32_t count, uint8_t lgConfigK);</div>
+<div class="line"><a id="l00137" name="l00137"></a><span class="lineno">  137</span>  <span class="keyword">static</span> <span class="keywordtype">double</span> getRelErr(<span class="keywordtype">bool</span> upperBound, <span class="keywordtype">bool</span> unioned, uint8_t lgConfigK, uint8_t numStdDev);</div>
+<div class="line"><a id="l00138" name="l00138"></a><span class="lineno">  138</span>};</div>
 <div class="line"><a id="l00139" name="l00139"></a><span class="lineno">  139</span> </div>
 <div class="line"><a id="l00140" name="l00140"></a><span class="lineno">  140</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00141" name="l00141"></a><span class="lineno">  141</span><span class="keyword">inline</span> uint32_t HllUtil&lt;A&gt;::coupon(<span class="keyword">const</span> HashState&amp; hashState) {</div>
-<div class="line"><a id="l00142" name="l00142"></a><span class="lineno">  142</span>  uint32_t addr26 = (int) (hashState.h1 &amp; hll_constants::KEY_MASK_26);</div>
-<div class="line"><a id="l00143" name="l00143"></a><span class="lineno">  143</span>  uint8_t lz = count_leading_zeros_in_u64(hashState.h2);  </div>
+<div class="line"><a id="l00141" name="l00141"></a><span class="lineno">  141</span><span class="keyword">inline</span> uint32_t HllUtil&lt;A&gt;::coupon(<span class="keyword">const</span> uint64_t hash[]) {</div>
+<div class="line"><a id="l00142" name="l00142"></a><span class="lineno">  142</span>  uint32_t addr26 = hash[0] &amp; hll_constants::KEY_MASK_26;</div>
+<div class="line"><a id="l00143" name="l00143"></a><span class="lineno">  143</span>  uint8_t lz = count_leading_zeros_in_u64(hash[1]);</div>
 <div class="line"><a id="l00144" name="l00144"></a><span class="lineno">  144</span>  uint8_t value = ((lz &gt; 62 ? 62 : lz) + 1); </div>
 <div class="line"><a id="l00145" name="l00145"></a><span class="lineno">  145</span>  <span class="keywordflow">return</span> (value &lt;&lt; hll_constants::KEY_BITS_26) | addr26;</div>
 <div class="line"><a id="l00146" name="l00146"></a><span class="lineno">  146</span>}</div>
 <div class="line"><a id="l00147" name="l00147"></a><span class="lineno">  147</span> </div>
 <div class="line"><a id="l00148" name="l00148"></a><span class="lineno">  148</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00149" name="l00149"></a><span class="lineno">  149</span><span class="keyword">inline</span> <span class="keywordtype">void</span> HllUtil&lt;A&gt;::hash(<span class="keyword">const</span> <span class="keywordtype">void</span>* key, <span class="keywordtype">size_t</span> keyLen, uint64_t seed, HashState&amp; result) {</div>
-<div class="line"><a id="l00150" name="l00150"></a><span class="lineno">  150</span>  MurmurHash3_x64_128(key, keyLen, seed, result);</div>
-<div class="line"><a id="l00151" name="l00151"></a><span class="lineno">  151</span>}</div>
-<div class="line"><a id="l00152" name="l00152"></a><span class="lineno">  152</span> </div>
-<div class="line"><a id="l00153" name="l00153"></a><span class="lineno">  153</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00154" name="l00154"></a><span class="lineno">  154</span><span class="keyword">inline</span> uint8_t HllUtil&lt;A&gt;::checkLgK(uint8_t lgK) {</div>
-<div class="line"><a id="l00155" name="l00155"></a><span class="lineno">  155</span>  <span class="keywordflow">if</span> ((lgK &gt;= hll_constants::MIN_LOG_K) &amp;&amp; (lgK &lt;= hll_constants::MAX_LOG_K)) {</div>
-<div class="line"><a id="l00156" name="l00156"></a><span class="lineno">  156</span>    <span class="keywordflow">return</span> lgK;</div>
-<div class="line"><a id="l00157" name="l00157"></a><span class="lineno">  157</span>  } <span class="keywordflow">else</span> {</div>
-<div class="line"><a id="l00158" name="l00158"></a><span class="lineno">  158</span>    <span class="keywordflow">throw</span> std::invalid_argument(<span class="stringliteral">&quot;Invalid value of k: &quot;</span> + std::to_string(lgK));</div>
-<div class="line"><a id="l00159" name="l00159"></a><span class="lineno">  159</span>  }</div>
-<div class="line"><a id="l00160" name="l00160"></a><span class="lineno">  160</span>}</div>
-<div class="line"><a id="l00161" name="l00161"></a><span class="lineno">  161</span> </div>
-<div class="line"><a id="l00162" name="l00162"></a><span class="lineno">  162</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00163" name="l00163"></a><span class="lineno">  163</span><span class="keyword">inline</span> <span class="keywordtype">double</span> HllUtil&lt;A&gt;::getRelErr(<span class="keywordtype">bool</span> upperBound, <span class="keywordtype">bool</span> unioned,</div>
-<div class="line"><a id="l00164" name="l00164"></a><span class="lineno">  164</span>                                    uint8_t lgConfigK, uint8_t numStdDev) {</div>
-<div class="line"><a id="l00165" name="l00165"></a><span class="lineno">  165</span>  checkLgK(lgConfigK);</div>
-<div class="line"><a id="l00166" name="l00166"></a><span class="lineno">  166</span>  <span class="keywordflow">if</span> (lgConfigK &gt; 12) {</div>
-<div class="line"><a id="l00167" name="l00167"></a><span class="lineno">  167</span>    <span class="keyword">const</span> <span class="keywordtype">double</span> rseFactor = unioned ?</div>
-<div class="line"><a id="l00168" name="l00168"></a><span class="lineno">  168</span>        hll_constants::HLL_NON_HIP_RSE_FACTOR : hll_constants::HLL_HIP_RSE_FACTOR;</div>
-<div class="line"><a id="l00169" name="l00169"></a><span class="lineno">  169</span>    <span class="keyword">const</span> uint32_t configK = 1 &lt;&lt; lgConfigK;</div>
-<div class="line"><a id="l00170" name="l00170"></a><span class="lineno">  170</span>    <span class="keywordflow">return</span> (upperBound ? -1 : 1) * (numStdDev * rseFactor) / sqrt(configK);</div>
-<div class="line"><a id="l00171" name="l00171"></a><span class="lineno">  171</span>  } <span class="keywordflow">else</span> {</div>
-<div class="line"><a id="l00172" name="l00172"></a><span class="lineno">  172</span>    <span class="keywordflow">return</span> RelativeErrorTables&lt;A&gt;::getRelErr(upperBound, unioned, lgConfigK, numStdDev);</div>
-<div class="line"><a id="l00173" name="l00173"></a><span class="lineno">  173</span>  }</div>
-<div class="line"><a id="l00174" name="l00174"></a><span class="lineno">  174</span>}</div>
-<div class="line"><a id="l00175" name="l00175"></a><span class="lineno">  175</span> </div>
-<div class="line"><a id="l00176" name="l00176"></a><span class="lineno">  176</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00177" name="l00177"></a><span class="lineno">  177</span><span class="keyword">inline</span> <span class="keywordtype">void</span> HllUtil&lt;A&gt;::checkMemSize(uint64_t minBytes, uint64_t capBytes) {</div>
-<div class="line"><a id="l00178" name="l00178"></a><span class="lineno">  178</span>  <span class="keywordflow">if</span> (capBytes &lt; minBytes) {</div>
-<div class="line"><a id="l00179" name="l00179"></a><span class="lineno">  179</span>    <span class="keywordflow">throw</span> std::invalid_argument(<span class="stringliteral">&quot;Given destination array is not large enough: &quot;</span> + std::to_string(capBytes));</div>
-<div class="line"><a id="l00180" name="l00180"></a><span class="lineno">  180</span>  }</div>
-<div class="line"><a id="l00181" name="l00181"></a><span class="lineno">  181</span>}</div>
-<div class="line"><a id="l00182" name="l00182"></a><span class="lineno">  182</span> </div>
-<div class="line"><a id="l00183" name="l00183"></a><span class="lineno">  183</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00184" name="l00184"></a><span class="lineno">  184</span><span class="keyword">inline</span> <span class="keywordtype">void</span> HllUtil&lt;A&gt;::checkNumStdDev(uint8_t numStdDev) {</div>
-<div class="line"><a id="l00185" name="l00185"></a><span class="lineno">  185</span>  <span class="keywordflow">if</span> ((numStdDev &lt; 1) || (numStdDev &gt; 3)) {</div>
-<div class="line"><a id="l00186" name="l00186"></a><span class="lineno">  186</span>    <span class="keywordflow">throw</span> std::invalid_argument(<span class="stringliteral">&quot;NumStdDev may not be less than 1 or greater than 3.&quot;</span>);</div>
-<div class="line"><a id="l00187" name="l00187"></a><span class="lineno">  187</span>  }</div>
-<div class="line"><a id="l00188" name="l00188"></a><span class="lineno">  188</span>}</div>
-<div class="line"><a id="l00189" name="l00189"></a><span class="lineno">  189</span> </div>
-<div class="line"><a id="l00190" name="l00190"></a><span class="lineno">  190</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00191" name="l00191"></a><span class="lineno">  191</span><span class="keyword">inline</span> uint32_t HllUtil&lt;A&gt;::pair(uint32_t slotNo, uint8_t value) {</div>
-<div class="line"><a id="l00192" name="l00192"></a><span class="lineno">  192</span>  <span class="keywordflow">return</span> (value &lt;&lt; hll_constants::KEY_BITS_26) | (slotNo &amp; hll_constants::KEY_MASK_26);</div>
-<div class="line"><a id="l00193" name="l00193"></a><span class="lineno">  193</span>}</div>
-<div class="line"><a id="l00194" name="l00194"></a><span class="lineno">  194</span> </div>
-<div class="line"><a id="l00195" name="l00195"></a><span class="lineno">  195</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00196" name="l00196"></a><span class="lineno">  196</span><span class="keyword">inline</span> uint32_t HllUtil&lt;A&gt;::getLow26(uint32_t coupon) {</div>
-<div class="line"><a id="l00197" name="l00197"></a><span class="lineno">  197</span>  <span class="keywordflow">return</span> coupon &amp; hll_constants::KEY_MASK_26;</div>
-<div class="line"><a id="l00198" name="l00198"></a><span class="lineno">  198</span>}</div>
-<div class="line"><a id="l00199" name="l00199"></a><span class="lineno">  199</span> </div>
-<div class="line"><a id="l00200" name="l00200"></a><span class="lineno">  200</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00201" name="l00201"></a><span class="lineno">  201</span><span class="keyword">inline</span> uint8_t HllUtil&lt;A&gt;::getValue(uint32_t coupon) {</div>
-<div class="line"><a id="l00202" name="l00202"></a><span class="lineno">  202</span>  <span class="keywordflow">return</span> coupon &gt;&gt; hll_constants::KEY_BITS_26;</div>
-<div class="line"><a id="l00203" name="l00203"></a><span class="lineno">  203</span>}</div>
-<div class="line"><a id="l00204" name="l00204"></a><span class="lineno">  204</span> </div>
-<div class="line"><a id="l00205" name="l00205"></a><span class="lineno">  205</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00206" name="l00206"></a><span class="lineno">  206</span><span class="keyword">inline</span> uint8_t HllUtil&lt;A&gt;::simpleIntLog2(uint32_t n) {</div>
-<div class="line"><a id="l00207" name="l00207"></a><span class="lineno">  207</span>  <span class="keywordflow">if</span> (n == 0) {</div>
-<div class="line"><a id="l00208" name="l00208"></a><span class="lineno">  208</span>    <span class="keywordflow">throw</span> std::logic_error(<span class="stringliteral">&quot;cannot take log of 0&quot;</span>);</div>
-<div class="line"><a id="l00209" name="l00209"></a><span class="lineno">  209</span>  }</div>
-<div class="line"><a id="l00210" name="l00210"></a><span class="lineno">  210</span>  <span class="keywordflow">return</span> count_trailing_zeros_in_u32(n);</div>
+<div class="line"><a id="l00149" name="l00149"></a><span class="lineno">  149</span><span class="keyword">inline</span> uint32_t HllUtil&lt;A&gt;::coupon(<span class="keyword">const</span> HashState&amp; hashState) {</div>
+<div class="line"><a id="l00150" name="l00150"></a><span class="lineno">  150</span>  uint32_t addr26 = (int) (hashState.h1 &amp; hll_constants::KEY_MASK_26);</div>
+<div class="line"><a id="l00151" name="l00151"></a><span class="lineno">  151</span>  uint8_t lz = count_leading_zeros_in_u64(hashState.h2);  </div>
+<div class="line"><a id="l00152" name="l00152"></a><span class="lineno">  152</span>  uint8_t value = ((lz &gt; 62 ? 62 : lz) + 1); </div>
+<div class="line"><a id="l00153" name="l00153"></a><span class="lineno">  153</span>  <span class="keywordflow">return</span> (value &lt;&lt; hll_constants::KEY_BITS_26) | addr26;</div>
+<div class="line"><a id="l00154" name="l00154"></a><span class="lineno">  154</span>}</div>
+<div class="line"><a id="l00155" name="l00155"></a><span class="lineno">  155</span> </div>
+<div class="line"><a id="l00156" name="l00156"></a><span class="lineno">  156</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00157" name="l00157"></a><span class="lineno">  157</span><span class="keyword">inline</span> <span class="keywordtype">void</span> HllUtil&lt;A&gt;::hash(<span class="keyword">const</span> <span class="keywordtype">void</span>* key, <span class="keywordtype">size_t</span> keyLen, uint64_t seed, HashState&amp; result) {</div>
+<div class="line"><a id="l00158" name="l00158"></a><span class="lineno">  158</span>  MurmurHash3_x64_128(key, keyLen, seed, result);</div>
+<div class="line"><a id="l00159" name="l00159"></a><span class="lineno">  159</span>}</div>
+<div class="line"><a id="l00160" name="l00160"></a><span class="lineno">  160</span> </div>
+<div class="line"><a id="l00161" name="l00161"></a><span class="lineno">  161</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00162" name="l00162"></a><span class="lineno">  162</span><span class="keyword">inline</span> uint8_t HllUtil&lt;A&gt;::checkLgK(uint8_t lgK) {</div>
+<div class="line"><a id="l00163" name="l00163"></a><span class="lineno">  163</span>  <span class="keywordflow">if</span> ((lgK &gt;= hll_constants::MIN_LOG_K) &amp;&amp; (lgK &lt;= hll_constants::MAX_LOG_K)) {</div>
+<div class="line"><a id="l00164" name="l00164"></a><span class="lineno">  164</span>    <span class="keywordflow">return</span> lgK;</div>
+<div class="line"><a id="l00165" name="l00165"></a><span class="lineno">  165</span>  } <span class="keywordflow">else</span> {</div>
+<div class="line"><a id="l00166" name="l00166"></a><span class="lineno">  166</span>    <span class="keywordflow">throw</span> std::invalid_argument(<span class="stringliteral">&quot;Invalid value of k: &quot;</span> + std::to_string(lgK));</div>
+<div class="line"><a id="l00167" name="l00167"></a><span class="lineno">  167</span>  }</div>
+<div class="line"><a id="l00168" name="l00168"></a><span class="lineno">  168</span>}</div>
+<div class="line"><a id="l00169" name="l00169"></a><span class="lineno">  169</span> </div>
+<div class="line"><a id="l00170" name="l00170"></a><span class="lineno">  170</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00171" name="l00171"></a><span class="lineno">  171</span><span class="keyword">inline</span> <span class="keywordtype">double</span> HllUtil&lt;A&gt;::getRelErr(<span class="keywordtype">bool</span> upperBound, <span class="keywordtype">bool</span> unioned,</div>
+<div class="line"><a id="l00172" name="l00172"></a><span class="lineno">  172</span>                                    uint8_t lgConfigK, uint8_t numStdDev) {</div>
+<div class="line"><a id="l00173" name="l00173"></a><span class="lineno">  173</span>  checkLgK(lgConfigK);</div>
+<div class="line"><a id="l00174" name="l00174"></a><span class="lineno">  174</span>  <span class="keywordflow">if</span> (lgConfigK &gt; 12) {</div>
+<div class="line"><a id="l00175" name="l00175"></a><span class="lineno">  175</span>    <span class="keyword">const</span> <span class="keywordtype">double</span> rseFactor = unioned ?</div>
+<div class="line"><a id="l00176" name="l00176"></a><span class="lineno">  176</span>        hll_constants::HLL_NON_HIP_RSE_FACTOR : hll_constants::HLL_HIP_RSE_FACTOR;</div>
+<div class="line"><a id="l00177" name="l00177"></a><span class="lineno">  177</span>    <span class="keyword">const</span> uint32_t configK = 1 &lt;&lt; lgConfigK;</div>
+<div class="line"><a id="l00178" name="l00178"></a><span class="lineno">  178</span>    <span class="keywordflow">return</span> (upperBound ? -1 : 1) * (numStdDev * rseFactor) / sqrt(configK);</div>
+<div class="line"><a id="l00179" name="l00179"></a><span class="lineno">  179</span>  } <span class="keywordflow">else</span> {</div>
+<div class="line"><a id="l00180" name="l00180"></a><span class="lineno">  180</span>    <span class="keywordflow">return</span> RelativeErrorTables&lt;A&gt;::getRelErr(upperBound, unioned, lgConfigK, numStdDev);</div>
+<div class="line"><a id="l00181" name="l00181"></a><span class="lineno">  181</span>  }</div>
+<div class="line"><a id="l00182" name="l00182"></a><span class="lineno">  182</span>}</div>
+<div class="line"><a id="l00183" name="l00183"></a><span class="lineno">  183</span> </div>
+<div class="line"><a id="l00184" name="l00184"></a><span class="lineno">  184</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00185" name="l00185"></a><span class="lineno">  185</span><span class="keyword">inline</span> <span class="keywordtype">void</span> HllUtil&lt;A&gt;::checkMemSize(uint64_t minBytes, uint64_t capBytes) {</div>
+<div class="line"><a id="l00186" name="l00186"></a><span class="lineno">  186</span>  <span class="keywordflow">if</span> (capBytes &lt; minBytes) {</div>
+<div class="line"><a id="l00187" name="l00187"></a><span class="lineno">  187</span>    <span class="keywordflow">throw</span> std::invalid_argument(<span class="stringliteral">&quot;Given destination array is not large enough: &quot;</span> + std::to_string(capBytes));</div>
+<div class="line"><a id="l00188" name="l00188"></a><span class="lineno">  188</span>  }</div>
+<div class="line"><a id="l00189" name="l00189"></a><span class="lineno">  189</span>}</div>
+<div class="line"><a id="l00190" name="l00190"></a><span class="lineno">  190</span> </div>
+<div class="line"><a id="l00191" name="l00191"></a><span class="lineno">  191</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00192" name="l00192"></a><span class="lineno">  192</span><span class="keyword">inline</span> <span class="keywordtype">void</span> HllUtil&lt;A&gt;::checkNumStdDev(uint8_t numStdDev) {</div>
+<div class="line"><a id="l00193" name="l00193"></a><span class="lineno">  193</span>  <span class="keywordflow">if</span> ((numStdDev &lt; 1) || (numStdDev &gt; 3)) {</div>
+<div class="line"><a id="l00194" name="l00194"></a><span class="lineno">  194</span>    <span class="keywordflow">throw</span> std::invalid_argument(<span class="stringliteral">&quot;NumStdDev may not be less than 1 or greater than 3.&quot;</span>);</div>
+<div class="line"><a id="l00195" name="l00195"></a><span class="lineno">  195</span>  }</div>
+<div class="line"><a id="l00196" name="l00196"></a><span class="lineno">  196</span>}</div>
+<div class="line"><a id="l00197" name="l00197"></a><span class="lineno">  197</span> </div>
+<div class="line"><a id="l00198" name="l00198"></a><span class="lineno">  198</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00199" name="l00199"></a><span class="lineno">  199</span><span class="keyword">inline</span> uint32_t HllUtil&lt;A&gt;::pair(uint32_t slotNo, uint8_t value) {</div>
+<div class="line"><a id="l00200" name="l00200"></a><span class="lineno">  200</span>  <span class="keywordflow">return</span> (value &lt;&lt; hll_constants::KEY_BITS_26) | (slotNo &amp; hll_constants::KEY_MASK_26);</div>
+<div class="line"><a id="l00201" name="l00201"></a><span class="lineno">  201</span>}</div>
+<div class="line"><a id="l00202" name="l00202"></a><span class="lineno">  202</span> </div>
+<div class="line"><a id="l00203" name="l00203"></a><span class="lineno">  203</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00204" name="l00204"></a><span class="lineno">  204</span><span class="keyword">inline</span> uint32_t HllUtil&lt;A&gt;::getLow26(uint32_t coupon) {</div>
+<div class="line"><a id="l00205" name="l00205"></a><span class="lineno">  205</span>  <span class="keywordflow">return</span> coupon &amp; hll_constants::KEY_MASK_26;</div>
+<div class="line"><a id="l00206" name="l00206"></a><span class="lineno">  206</span>}</div>
+<div class="line"><a id="l00207" name="l00207"></a><span class="lineno">  207</span> </div>
+<div class="line"><a id="l00208" name="l00208"></a><span class="lineno">  208</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00209" name="l00209"></a><span class="lineno">  209</span><span class="keyword">inline</span> uint8_t HllUtil&lt;A&gt;::getValue(uint32_t coupon) {</div>
+<div class="line"><a id="l00210" name="l00210"></a><span class="lineno">  210</span>  <span class="keywordflow">return</span> coupon &gt;&gt; hll_constants::KEY_BITS_26;</div>
 <div class="line"><a id="l00211" name="l00211"></a><span class="lineno">  211</span>}</div>
 <div class="line"><a id="l00212" name="l00212"></a><span class="lineno">  212</span> </div>
 <div class="line"><a id="l00213" name="l00213"></a><span class="lineno">  213</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
-<div class="line"><a id="l00214" name="l00214"></a><span class="lineno">  214</span><span class="keyword">inline</span> uint8_t HllUtil&lt;A&gt;::computeLgArrInts(hll_mode mode, uint32_t count, uint8_t lgConfigK) {</div>
-<div class="line"><a id="l00215" name="l00215"></a><span class="lineno">  215</span>  <span class="comment">// assume value missing and recompute</span></div>
-<div class="line"><a id="l00216" name="l00216"></a><span class="lineno">  216</span>  <span class="keywordflow">if</span> (mode == LIST) { <span class="keywordflow">return</span> hll_constants::LG_INIT_LIST_SIZE; }</div>
-<div class="line"><a id="l00217" name="l00217"></a><span class="lineno">  217</span>  uint32_t ceilPwr2 = ceiling_power_of_2(count);</div>
-<div class="line"><a id="l00218" name="l00218"></a><span class="lineno">  218</span>  <span class="keywordflow">if</span> ((hll_constants::RESIZE_DENOM * count) &gt; (hll_constants::RESIZE_NUMER * ceilPwr2)) { ceilPwr2 &lt;&lt;= 1;}</div>
-<div class="line"><a id="l00219" name="l00219"></a><span class="lineno">  219</span>  <span class="keywordflow">if</span> (mode == SET) {</div>
-<div class="line"><a id="l00220" name="l00220"></a><span class="lineno">  220</span>    <span class="keywordflow">return</span> std::max(hll_constants::LG_INIT_SET_SIZE, HllUtil&lt;A&gt;::simpleIntLog2(ceilPwr2));</div>
-<div class="line"><a id="l00221" name="l00221"></a><span class="lineno">  221</span>  }</div>
-<div class="line"><a id="l00222" name="l00222"></a><span class="lineno">  222</span>  <span class="comment">//only used for HLL4</span></div>
-<div class="line"><a id="l00223" name="l00223"></a><span class="lineno">  223</span>  <span class="keywordflow">return</span> std::max(hll_constants::LG_AUX_ARR_INTS[lgConfigK], HllUtil&lt;A&gt;::simpleIntLog2(ceilPwr2));</div>
-<div class="line"><a id="l00224" name="l00224"></a><span class="lineno">  224</span>}</div>
-<div class="line"><a id="l00225" name="l00225"></a><span class="lineno">  225</span> </div>
-<div class="line"><a id="l00226" name="l00226"></a><span class="lineno">  226</span>}</div>
-<div class="line"><a id="l00227" name="l00227"></a><span class="lineno">  227</span> </div>
-<div class="line"><a id="l00228" name="l00228"></a><span class="lineno">  228</span><span class="preprocessor">#endif </span><span class="comment">/* _HLLUTIL_HPP_ */</span><span class="preprocessor"></span></div>
+<div class="line"><a id="l00214" name="l00214"></a><span class="lineno">  214</span><span class="keyword">inline</span> uint8_t HllUtil&lt;A&gt;::simpleIntLog2(uint32_t n) {</div>
+<div class="line"><a id="l00215" name="l00215"></a><span class="lineno">  215</span>  <span class="keywordflow">if</span> (n == 0) {</div>
+<div class="line"><a id="l00216" name="l00216"></a><span class="lineno">  216</span>    <span class="keywordflow">throw</span> std::logic_error(<span class="stringliteral">&quot;cannot take log of 0&quot;</span>);</div>
+<div class="line"><a id="l00217" name="l00217"></a><span class="lineno">  217</span>  }</div>
+<div class="line"><a id="l00218" name="l00218"></a><span class="lineno">  218</span>  <span class="keywordflow">return</span> count_trailing_zeros_in_u32(n);</div>
+<div class="line"><a id="l00219" name="l00219"></a><span class="lineno">  219</span>}</div>
+<div class="line"><a id="l00220" name="l00220"></a><span class="lineno">  220</span> </div>
+<div class="line"><a id="l00221" name="l00221"></a><span class="lineno">  221</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A&gt;</div>
+<div class="line"><a id="l00222" name="l00222"></a><span class="lineno">  222</span><span class="keyword">inline</span> uint8_t HllUtil&lt;A&gt;::computeLgArrInts(hll_mode mode, uint32_t count, uint8_t lgConfigK) {</div>
+<div class="line"><a id="l00223" name="l00223"></a><span class="lineno">  223</span>  <span class="comment">// assume value missing and recompute</span></div>
+<div class="line"><a id="l00224" name="l00224"></a><span class="lineno">  224</span>  <span class="keywordflow">if</span> (mode == LIST) { <span class="keywordflow">return</span> hll_constants::LG_INIT_LIST_SIZE; }</div>
+<div class="line"><a id="l00225" name="l00225"></a><span class="lineno">  225</span>  uint32_t ceilPwr2 = ceiling_power_of_2(count);</div>
+<div class="line"><a id="l00226" name="l00226"></a><span class="lineno">  226</span>  <span class="keywordflow">if</span> ((hll_constants::RESIZE_DENOM * count) &gt; (hll_constants::RESIZE_NUMER * ceilPwr2)) { ceilPwr2 &lt;&lt;= 1;}</div>
+<div class="line"><a id="l00227" name="l00227"></a><span class="lineno">  227</span>  <span class="keywordflow">if</span> (mode == SET) {</div>
+<div class="line"><a id="l00228" name="l00228"></a><span class="lineno">  228</span>    <span class="keywordflow">return</span> std::max(hll_constants::LG_INIT_SET_SIZE, HllUtil&lt;A&gt;::simpleIntLog2(ceilPwr2));</div>
+<div class="line"><a id="l00229" name="l00229"></a><span class="lineno">  229</span>  }</div>
+<div class="line"><a id="l00230" name="l00230"></a><span class="lineno">  230</span>  <span class="comment">//only used for HLL4</span></div>
+<div class="line"><a id="l00231" name="l00231"></a><span class="lineno">  231</span>  <span class="keywordflow">return</span> std::max(hll_constants::LG_AUX_ARR_INTS[lgConfigK], HllUtil&lt;A&gt;::simpleIntLog2(ceilPwr2));</div>
+<div class="line"><a id="l00232" name="l00232"></a><span class="lineno">  232</span>}</div>
+<div class="line"><a id="l00233" name="l00233"></a><span class="lineno">  233</span> </div>
+<div class="line"><a id="l00234" name="l00234"></a><span class="lineno">  234</span>}</div>
+<div class="line"><a id="l00235" name="l00235"></a><span class="lineno">  235</span> </div>
+<div class="line"><a id="l00236" name="l00236"></a><span class="lineno">  236</span><span class="preprocessor">#endif </span><span class="comment">/* _HLLUTIL_HPP_ */</span><span class="preprocessor"></span></div>
 <div class="ttc" id="anamespacedatasketches_html"><div class="ttname"><a href="namespacedatasketches.html">datasketches</a></div><div class="ttdoc">DataSketches namespace.</div><div class="ttdef"><b>Definition</b> binomial_bounds.hpp:38</div></div>
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diff --git a/docs/master/hll_8hpp_source.html b/docs/master/hll_8hpp_source.html
index 8e0010d..0e38773 100644
--- a/docs/master/hll_8hpp_source.html
+++ b/docs/master/hll_8hpp_source.html
@@ -134,201 +134,201 @@ $(document).ready(function() { init_codefold(0); });
 <div class="line"><a id="l00114" name="l00114"></a><span class="lineno">  114</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A = std::allocator&lt;u<span class="keywordtype">int</span>8_t&gt; &gt;</div>
 <div class="line"><a id="l00115" name="l00115"></a><span class="lineno">  115</span><span class="keyword">class </span>hll_sketch_alloc final {</div>
 <div class="line"><a id="l00116" name="l00116"></a><span class="lineno">  116</span>  <span class="keyword">public</span>:</div>
-<div class="line"><a id="l00126" name="l00126"></a><span class="lineno">  126</span>    <span class="keyword">explicit</span> hll_sketch_alloc(uint8_t lg_config_k, <a class="code hl_enumeration" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4">target_hll_type</a> tgt_type = <a class="code hl_enumvalue" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4aebdac6704039b95d8b82629cda14b1b9">HLL_4</a>, <span class="keywordtype">bool</span> start_full_size = < [...]
-<div class="line"><a id="l00127" name="l00127"></a><span class="lineno">  127</span> </div>
-<div class="line"><a id="l00132" name="l00132"></a><span class="lineno">  132</span>    hll_sketch_alloc(<span class="keyword">const</span> hll_sketch_alloc&lt;A&gt;&amp; that);</div>
-<div class="line"><a id="l00133" name="l00133"></a><span class="lineno">  133</span> </div>
-<div class="line"><a id="l00139" name="l00139"></a><span class="lineno">  139</span>    hll_sketch_alloc(<span class="keyword">const</span> hll_sketch_alloc&lt;A&gt;&amp; that, <a class="code hl_enumeration" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4">target_hll_type</a> tgt_type);</div>
-<div class="line"><a id="l00140" name="l00140"></a><span class="lineno">  140</span> </div>
-<div class="line"><a id="l00145" name="l00145"></a><span class="lineno">  145</span>    hll_sketch_alloc(hll_sketch_alloc&lt;A&gt;&amp;&amp; that) <span class="keyword">noexcept</span>;</div>
-<div class="line"><a id="l00146" name="l00146"></a><span class="lineno">  146</span> </div>
-<div class="line"><a id="l00152" name="l00152"></a><span class="lineno">  152</span>    <span class="keyword">static</span> hll_sketch_alloc deserialize(std::istream&amp; is, <span class="keyword">const</span> A&amp; allocator = A());</div>
-<div class="line"><a id="l00153" name="l00153"></a><span class="lineno">  153</span> </div>
-<div class="line"><a id="l00160" name="l00160"></a><span class="lineno">  160</span>    <span class="keyword">static</span> hll_sketch_alloc deserialize(<span class="keyword">const</span> <span class="keywordtype">void</span>* bytes, <span class="keywordtype">size_t</span> len, <span class="keyword">const</span> A&amp; allocator = A());</div>
-<div class="line"><a id="l00161" name="l00161"></a><span class="lineno">  161</span> </div>
-<div class="line"><a id="l00163" name="l00163"></a><span class="lineno">  163</span>    ~hll_sketch_alloc();</div>
+<div class="line"><a id="l00129" name="l00129"></a><span class="lineno">  129</span>    <span class="keyword">explicit</span> hll_sketch_alloc(uint8_t lg_config_k, <a class="code hl_enumeration" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4">target_hll_type</a> tgt_type = <a class="code hl_enumvalue" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4aebdac6704039b95d8b82629cda14b1b9">HLL_4</a>, <span class="keywordtype">bool</span> start_full_size = < [...]
+<div class="line"><a id="l00130" name="l00130"></a><span class="lineno">  130</span> </div>
+<div class="line"><a id="l00135" name="l00135"></a><span class="lineno">  135</span>    hll_sketch_alloc(<span class="keyword">const</span> hll_sketch_alloc&lt;A&gt;&amp; that);</div>
+<div class="line"><a id="l00136" name="l00136"></a><span class="lineno">  136</span> </div>
+<div class="line"><a id="l00142" name="l00142"></a><span class="lineno">  142</span>    hll_sketch_alloc(<span class="keyword">const</span> hll_sketch_alloc&lt;A&gt;&amp; that, <a class="code hl_enumeration" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4">target_hll_type</a> tgt_type);</div>
+<div class="line"><a id="l00143" name="l00143"></a><span class="lineno">  143</span> </div>
+<div class="line"><a id="l00148" name="l00148"></a><span class="lineno">  148</span>    hll_sketch_alloc(hll_sketch_alloc&lt;A&gt;&amp;&amp; that) <span class="keyword">noexcept</span>;</div>
+<div class="line"><a id="l00149" name="l00149"></a><span class="lineno">  149</span> </div>
+<div class="line"><a id="l00155" name="l00155"></a><span class="lineno">  155</span>    <span class="keyword">static</span> hll_sketch_alloc deserialize(std::istream&amp; is, <span class="keyword">const</span> A&amp; allocator = A());</div>
+<div class="line"><a id="l00156" name="l00156"></a><span class="lineno">  156</span> </div>
+<div class="line"><a id="l00163" name="l00163"></a><span class="lineno">  163</span>    <span class="keyword">static</span> hll_sketch_alloc deserialize(<span class="keyword">const</span> <span class="keywordtype">void</span>* bytes, <span class="keywordtype">size_t</span> len, <span class="keyword">const</span> A&amp; allocator = A());</div>
 <div class="line"><a id="l00164" name="l00164"></a><span class="lineno">  164</span> </div>
-<div class="line"><a id="l00170" name="l00170"></a><span class="lineno">  170</span>    hll_sketch_alloc&amp; operator=(<span class="keyword">const</span> hll_sketch_alloc&lt;A&gt;&amp; other);</div>
-<div class="line"><a id="l00171" name="l00171"></a><span class="lineno">  171</span> </div>
-<div class="line"><a id="l00177" name="l00177"></a><span class="lineno">  177</span>    hll_sketch_alloc&amp; operator=(hll_sketch_alloc&lt;A&gt;&amp;&amp; other);</div>
-<div class="line"><a id="l00178" name="l00178"></a><span class="lineno">  178</span> </div>
-<div class="line"><a id="l00183" name="l00183"></a><span class="lineno">  183</span>    <span class="keywordtype">void</span> reset();</div>
-<div class="line"><a id="l00184" name="l00184"></a><span class="lineno">  184</span> </div>
-<div class="line"><a id="l00185" name="l00185"></a><span class="lineno">  185</span>    <span class="comment">// This is a convenience alias for users</span></div>
-<div class="line"><a id="l00186" name="l00186"></a><span class="lineno">  186</span>    <span class="comment">// The type returned by the following serialize method</span></div>
-<div class="line"><a id="l00187" name="l00187"></a><span class="lineno">  187</span>    <span class="keyword">using </span>vector_bytes = std::vector&lt;uint8_t, typename std::allocator_traits&lt;A&gt;::template rebind_alloc&lt;uint8_t&gt;&gt;;</div>
-<div class="line"><a id="l00188" name="l00188"></a><span class="lineno">  188</span> </div>
-<div class="line"><a id="l00195" name="l00195"></a><span class="lineno">  195</span>    vector_bytes serialize_compact(<span class="keywordtype">unsigned</span> header_size_bytes = 0) <span class="keyword">const</span>;</div>
-<div class="line"><a id="l00196" name="l00196"></a><span class="lineno">  196</span> </div>
-<div class="line"><a id="l00202" name="l00202"></a><span class="lineno">  202</span>    vector_bytes serialize_updatable() <span class="keyword">const</span>;</div>
+<div class="line"><a id="l00166" name="l00166"></a><span class="lineno">  166</span>    ~hll_sketch_alloc();</div>
+<div class="line"><a id="l00167" name="l00167"></a><span class="lineno">  167</span> </div>
+<div class="line"><a id="l00173" name="l00173"></a><span class="lineno">  173</span>    hll_sketch_alloc&amp; operator=(<span class="keyword">const</span> hll_sketch_alloc&lt;A&gt;&amp; other);</div>
+<div class="line"><a id="l00174" name="l00174"></a><span class="lineno">  174</span> </div>
+<div class="line"><a id="l00180" name="l00180"></a><span class="lineno">  180</span>    hll_sketch_alloc&amp; operator=(hll_sketch_alloc&lt;A&gt;&amp;&amp; other);</div>
+<div class="line"><a id="l00181" name="l00181"></a><span class="lineno">  181</span> </div>
+<div class="line"><a id="l00190" name="l00190"></a><span class="lineno">  190</span>    <span class="keywordtype">void</span> reset(<span class="keywordtype">bool</span> full_size = <span class="keyword">false</span>);</div>
+<div class="line"><a id="l00191" name="l00191"></a><span class="lineno">  191</span> </div>
+<div class="line"><a id="l00192" name="l00192"></a><span class="lineno">  192</span>    <span class="comment">// This is a convenience alias for users</span></div>
+<div class="line"><a id="l00193" name="l00193"></a><span class="lineno">  193</span>    <span class="comment">// The type returned by the following serialize method</span></div>
+<div class="line"><a id="l00194" name="l00194"></a><span class="lineno">  194</span>    <span class="keyword">using </span>vector_bytes = std::vector&lt;uint8_t, typename std::allocator_traits&lt;A&gt;::template rebind_alloc&lt;uint8_t&gt;&gt;;</div>
+<div class="line"><a id="l00195" name="l00195"></a><span class="lineno">  195</span> </div>
+<div class="line"><a id="l00202" name="l00202"></a><span class="lineno">  202</span>    vector_bytes serialize_compact(<span class="keywordtype">unsigned</span> header_size_bytes = 0) <span class="keyword">const</span>;</div>
 <div class="line"><a id="l00203" name="l00203"></a><span class="lineno">  203</span> </div>
-<div class="line"><a id="l00209" name="l00209"></a><span class="lineno">  209</span>    <span class="keywordtype">void</span> serialize_compact(std::ostream&amp; os) <span class="keyword">const</span>;</div>
+<div class="line"><a id="l00209" name="l00209"></a><span class="lineno">  209</span>    vector_bytes serialize_updatable() <span class="keyword">const</span>;</div>
 <div class="line"><a id="l00210" name="l00210"></a><span class="lineno">  210</span> </div>
-<div class="line"><a id="l00216" name="l00216"></a><span class="lineno">  216</span>    <span class="keywordtype">void</span> serialize_updatable(std::ostream&amp; os) <span class="keyword">const</span>;</div>
+<div class="line"><a id="l00216" name="l00216"></a><span class="lineno">  216</span>    <span class="keywordtype">void</span> serialize_compact(std::ostream&amp; os) <span class="keyword">const</span>;</div>
 <div class="line"><a id="l00217" name="l00217"></a><span class="lineno">  217</span> </div>
-<div class="line"><a id="l00226" name="l00226"></a><span class="lineno">  226</span>    string&lt;A&gt; to_string(<span class="keywordtype">bool</span> summary = <span class="keyword">true</span>,</div>
-<div class="line"><a id="l00227" name="l00227"></a><span class="lineno">  227</span>                        <span class="keywordtype">bool</span> detail = <span class="keyword">false</span>,</div>
-<div class="line"><a id="l00228" name="l00228"></a><span class="lineno">  228</span>                        <span class="keywordtype">bool</span> aux_detail = <span class="keyword">false</span>,</div>
-<div class="line"><a id="l00229" name="l00229"></a><span class="lineno">  229</span>                        <span class="keywordtype">bool</span> all = <span class="keyword">false</span>) <span class="keyword">const</span>;</div>
-<div class="line"><a id="l00230" name="l00230"></a><span class="lineno">  230</span> </div>
-<div class="line"><a id="l00237" name="l00237"></a><span class="lineno">  237</span>    <span class="keywordtype">void</span> update(<span class="keyword">const</span> std::string&amp; datum);</div>
-<div class="line"><a id="l00238" name="l00238"></a><span class="lineno">  238</span> </div>
-<div class="line"><a id="l00243" name="l00243"></a><span class="lineno">  243</span>    <span class="keywordtype">void</span> update(uint64_t datum);</div>
-<div class="line"><a id="l00244" name="l00244"></a><span class="lineno">  244</span> </div>
-<div class="line"><a id="l00249" name="l00249"></a><span class="lineno">  249</span>    <span class="keywordtype">void</span> update(uint32_t datum);</div>
-<div class="line"><a id="l00250" name="l00250"></a><span class="lineno">  250</span> </div>
-<div class="line"><a id="l00255" name="l00255"></a><span class="lineno">  255</span>    <span class="keywordtype">void</span> update(uint16_t datum);</div>
-<div class="line"><a id="l00256" name="l00256"></a><span class="lineno">  256</span> </div>
-<div class="line"><a id="l00261" name="l00261"></a><span class="lineno">  261</span>    <span class="keywordtype">void</span> update(uint8_t datum);</div>
-<div class="line"><a id="l00262" name="l00262"></a><span class="lineno">  262</span> </div>
-<div class="line"><a id="l00267" name="l00267"></a><span class="lineno">  267</span>    <span class="keywordtype">void</span> update(int64_t datum);</div>
-<div class="line"><a id="l00268" name="l00268"></a><span class="lineno">  268</span> </div>
-<div class="line"><a id="l00273" name="l00273"></a><span class="lineno">  273</span>    <span class="keywordtype">void</span> update(int32_t datum);</div>
-<div class="line"><a id="l00274" name="l00274"></a><span class="lineno">  274</span> </div>
-<div class="line"><a id="l00279" name="l00279"></a><span class="lineno">  279</span>    <span class="keywordtype">void</span> update(int16_t datum);</div>
-<div class="line"><a id="l00280" name="l00280"></a><span class="lineno">  280</span> </div>
-<div class="line"><a id="l00285" name="l00285"></a><span class="lineno">  285</span>    <span class="keywordtype">void</span> update(int8_t datum);</div>
-<div class="line"><a id="l00286" name="l00286"></a><span class="lineno">  286</span> </div>
-<div class="line"><a id="l00291" name="l00291"></a><span class="lineno">  291</span>    <span class="keywordtype">void</span> update(<span class="keywordtype">double</span> datum);</div>
-<div class="line"><a id="l00292" name="l00292"></a><span class="lineno">  292</span> </div>
-<div class="line"><a id="l00297" name="l00297"></a><span class="lineno">  297</span>    <span class="keywordtype">void</span> update(<span class="keywordtype">float</span> datum);</div>
-<div class="line"><a id="l00298" name="l00298"></a><span class="lineno">  298</span> </div>
-<div class="line"><a id="l00304" name="l00304"></a><span class="lineno">  304</span>    <span class="keywordtype">void</span> update(<span class="keyword">const</span> <span class="keywordtype">void</span>* data, <span class="keywordtype">size_t</span> length_bytes);</div>
+<div class="line"><a id="l00223" name="l00223"></a><span class="lineno">  223</span>    <span class="keywordtype">void</span> serialize_updatable(std::ostream&amp; os) <span class="keyword">const</span>;</div>
+<div class="line"><a id="l00224" name="l00224"></a><span class="lineno">  224</span> </div>
+<div class="line"><a id="l00233" name="l00233"></a><span class="lineno">  233</span>    string&lt;A&gt; to_string(<span class="keywordtype">bool</span> summary = <span class="keyword">true</span>,</div>
+<div class="line"><a id="l00234" name="l00234"></a><span class="lineno">  234</span>                        <span class="keywordtype">bool</span> detail = <span class="keyword">false</span>,</div>
+<div class="line"><a id="l00235" name="l00235"></a><span class="lineno">  235</span>                        <span class="keywordtype">bool</span> aux_detail = <span class="keyword">false</span>,</div>
+<div class="line"><a id="l00236" name="l00236"></a><span class="lineno">  236</span>                        <span class="keywordtype">bool</span> all = <span class="keyword">false</span>) <span class="keyword">const</span>;</div>
+<div class="line"><a id="l00237" name="l00237"></a><span class="lineno">  237</span> </div>
+<div class="line"><a id="l00244" name="l00244"></a><span class="lineno">  244</span>    <span class="keywordtype">void</span> update(<span class="keyword">const</span> std::string&amp; datum);</div>
+<div class="line"><a id="l00245" name="l00245"></a><span class="lineno">  245</span> </div>
+<div class="line"><a id="l00250" name="l00250"></a><span class="lineno">  250</span>    <span class="keywordtype">void</span> update(uint64_t datum);</div>
+<div class="line"><a id="l00251" name="l00251"></a><span class="lineno">  251</span> </div>
+<div class="line"><a id="l00256" name="l00256"></a><span class="lineno">  256</span>    <span class="keywordtype">void</span> update(uint32_t datum);</div>
+<div class="line"><a id="l00257" name="l00257"></a><span class="lineno">  257</span> </div>
+<div class="line"><a id="l00262" name="l00262"></a><span class="lineno">  262</span>    <span class="keywordtype">void</span> update(uint16_t datum);</div>
+<div class="line"><a id="l00263" name="l00263"></a><span class="lineno">  263</span> </div>
+<div class="line"><a id="l00268" name="l00268"></a><span class="lineno">  268</span>    <span class="keywordtype">void</span> update(uint8_t datum);</div>
+<div class="line"><a id="l00269" name="l00269"></a><span class="lineno">  269</span> </div>
+<div class="line"><a id="l00274" name="l00274"></a><span class="lineno">  274</span>    <span class="keywordtype">void</span> update(int64_t datum);</div>
+<div class="line"><a id="l00275" name="l00275"></a><span class="lineno">  275</span> </div>
+<div class="line"><a id="l00280" name="l00280"></a><span class="lineno">  280</span>    <span class="keywordtype">void</span> update(int32_t datum);</div>
+<div class="line"><a id="l00281" name="l00281"></a><span class="lineno">  281</span> </div>
+<div class="line"><a id="l00286" name="l00286"></a><span class="lineno">  286</span>    <span class="keywordtype">void</span> update(int16_t datum);</div>
+<div class="line"><a id="l00287" name="l00287"></a><span class="lineno">  287</span> </div>
+<div class="line"><a id="l00292" name="l00292"></a><span class="lineno">  292</span>    <span class="keywordtype">void</span> update(int8_t datum);</div>
+<div class="line"><a id="l00293" name="l00293"></a><span class="lineno">  293</span> </div>
+<div class="line"><a id="l00298" name="l00298"></a><span class="lineno">  298</span>    <span class="keywordtype">void</span> update(<span class="keywordtype">double</span> datum);</div>
+<div class="line"><a id="l00299" name="l00299"></a><span class="lineno">  299</span> </div>
+<div class="line"><a id="l00304" name="l00304"></a><span class="lineno">  304</span>    <span class="keywordtype">void</span> update(<span class="keywordtype">float</span> datum);</div>
 <div class="line"><a id="l00305" name="l00305"></a><span class="lineno">  305</span> </div>
-<div class="line"><a id="l00310" name="l00310"></a><span class="lineno">  310</span>    <span class="keywordtype">double</span> get_estimate() <span class="keyword">const</span>;</div>
-<div class="line"><a id="l00311" name="l00311"></a><span class="lineno">  311</span> </div>
-<div class="line"><a id="l00323" name="l00323"></a><span class="lineno">  323</span>    <span class="keywordtype">double</span> get_composite_estimate() <span class="keyword">const</span>;</div>
-<div class="line"><a id="l00324" name="l00324"></a><span class="lineno">  324</span> </div>
-<div class="line"><a id="l00331" name="l00331"></a><span class="lineno">  331</span>    <span class="keywordtype">double</span> get_lower_bound(uint8_t num_std_dev) <span class="keyword">const</span>;</div>
-<div class="line"><a id="l00332" name="l00332"></a><span class="lineno">  332</span> </div>
-<div class="line"><a id="l00339" name="l00339"></a><span class="lineno">  339</span>    <span class="keywordtype">double</span> get_upper_bound(uint8_t num_std_dev) <span class="keyword">const</span>;</div>
-<div class="line"><a id="l00340" name="l00340"></a><span class="lineno">  340</span> </div>
-<div class="line"><a id="l00345" name="l00345"></a><span class="lineno">  345</span>    uint8_t get_lg_config_k() <span class="keyword">const</span>;</div>
-<div class="line"><a id="l00346" name="l00346"></a><span class="lineno">  346</span> </div>
-<div class="line"><a id="l00351" name="l00351"></a><span class="lineno">  351</span>    <a class="code hl_enumeration" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4">target_hll_type</a> get_target_type() <span class="keyword">const</span>;</div>
-<div class="line"><a id="l00352" name="l00352"></a><span class="lineno">  352</span> </div>
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-<div class="line"><a id="l00358" name="l00358"></a><span class="lineno">  358</span> </div>
-<div class="line"><a id="l00363" name="l00363"></a><span class="lineno">  363</span>    <span class="keywordtype">bool</span> is_empty() <span class="keyword">const</span>;</div>
-<div class="line"><a id="l00364" name="l00364"></a><span class="lineno">  364</span> </div>
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-<div class="line"><a id="l00370" name="l00370"></a><span class="lineno">  370</span> </div>
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-<div class="line"><a id="l00376" name="l00376"></a><span class="lineno">  376</span> </div>
-<div class="line"><a id="l00388" name="l00388"></a><span class="lineno">  388</span>    <span class="keyword">static</span> uint32_t get_max_updatable_serialization_bytes(uint8_t lg_k, <a class="code hl_enumeration" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4">target_hll_type</a> tgt_type);</div>
-<div class="line"><a id="l00389" name="l00389"></a><span class="lineno">  389</span>  </div>
-<div class="line"><a id="l00400" name="l00400"></a><span class="lineno">  400</span>    <span class="keyword">static</span> <span class="keywordtype">double</span> get_rel_err(<span class="keywordtype">bool</span> upper_bound, <span class="keywordtype">bool</span> unioned,</div>
-<div class="line"><a id="l00401" name="l00401"></a><span class="lineno">  401</span>                              uint8_t lg_config_k, uint8_t num_std_dev);</div>
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-<div class="line"><a id="l00411" name="l00411"></a><span class="lineno">  411</span>    hll_mode get_current_mode() <span class="keyword">const</span>;</div>
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-<div class="line"><a id="l00414" name="l00414"></a><span class="lineno">  414</span>    <span class="keywordtype">bool</span> is_estimation_mode() <span class="keyword">const</span>;</div>
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+<div class="line"><a id="l00409" name="l00409"></a><span class="lineno">  409</span> </div>
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+<div class="line"><a id="l00411" name="l00411"></a><span class="lineno">  411</span>    <span class="keyword">explicit</span> hll_sketch_alloc(HllSketchImpl&lt;A&gt;* that);</div>
+<div class="line"><a id="l00412" name="l00412"></a><span class="lineno">  412</span> </div>
+<div class="line"><a id="l00413" name="l00413"></a><span class="lineno">  413</span>    <span class="keywordtype">void</span> coupon_update(uint32_t coupon);</div>
+<div class="line"><a id="l00414" name="l00414"></a><span class="lineno">  414</span> </div>
+<div class="line"><a id="l00415" name="l00415"></a><span class="lineno">  415</span>    std::string type_as_string() <span class="keyword">const</span>;</div>
+<div class="line"><a id="l00416" name="l00416"></a><span class="lineno">  416</span>    std::string mode_as_string() <span class="keyword">const</span>;</div>
+<div class="line"><a id="l00417" name="l00417"></a><span class="lineno">  417</span> </div>
+<div class="line"><a id="l00418" name="l00418"></a><span class="lineno">  418</span>    hll_mode get_current_mode() <span class="keyword">const</span>;</div>
+<div class="line"><a id="l00419" name="l00419"></a><span class="lineno">  419</span>    uint8_t get_serialization_version() <span class="keyword">const</span>;</div>
+<div class="line"><a id="l00420" name="l00420"></a><span class="lineno">  420</span>    <span class="keywordtype">bool</span> is_out_of_order_flag() <span class="keyword">const</span>;</div>
+<div class="line"><a id="l00421" name="l00421"></a><span class="lineno">  421</span>    <span class="keywordtype">bool</span> is_estimation_mode() <span class="keyword">const</span>;</div>
+<div class="line"><a id="l00422" name="l00422"></a><span class="lineno">  422</span> </div>
+<div class="line"><a id="l00423" name="l00423"></a><span class="lineno">  423</span>    HllSketchImpl&lt;A&gt;* sketch_impl;</div>
+<div class="line"><a id="l00424" name="l00424"></a><span class="lineno">  424</span>    <span class="keyword">friend</span> hll_union_alloc&lt;A&gt;;</div>
+<div class="line"><a id="l00425" name="l00425"></a><span class="lineno">  425</span>};</div>
+<div class="line"><a id="l00426" name="l00426"></a><span class="lineno">  426</span> </div>
+<div class="line"><a id="l00452" name="l00452"></a><span class="lineno">  452</span><span class="keyword">template</span>&lt;<span class="keyword">typename</span> A = std::allocator&lt;u<span class="keywordtype">int</span>8_t&gt; &gt;</div>
+<div class="foldopen" id="foldopen00453" data-start="{" data-end="};">
+<div class="line"><a id="l00453" name="l00453"></a><span class="lineno"><a class="line" href="classdatasketches_1_1hll__union__alloc.html">  453</a></span><span class="keyword">class </span><a class="code hl_class" href="classdatasketches_1_1hll__union__alloc.html">hll_union_alloc</a> {</div>
+<div class="line"><a id="l00454" name="l00454"></a><span class="lineno">  454</span>  <span class="keyword">public</span>:</div>
+<div class="line"><a id="l00461" name="l00461"></a><span class="lineno">  461</span>    <span class="keyword">explicit</span> <a class="code hl_class" href="classdatasketches_1_1hll__union__alloc.html">hll_union_alloc</a>(uint8_t lg_max_k, <span class="keyword">const</span> A&amp; allocator = A());</div>
+<div class="line"><a id="l00462" name="l00462"></a><span class="lineno">  462</span> </div>
+<div class="line"><a id="l00467" name="l00467"></a><span class="lineno">  467</span>    <span class="keywordtype">double</span> <a class="code hl_function" href="classdatasketches_1_1hll__union__alloc.html#a2afb71f2ef2d82290be4c8eafc08f2a2">get_estimate</a>() <span class="keyword">const</span>;</div>
+<div class="line"><a id="l00468" name="l00468"></a><span class="lineno">  468</span> </div>
+<div class="line"><a id="l00480" name="l00480"></a><span class="lineno">  480</span>    <span class="keywordtype">double</span> <a class="code hl_function" href="classdatasketches_1_1hll__union__alloc.html#a1d6c3cd1e88796786ea124a7aed3800d">get_composite_estimate</a>() <span class="keyword">const</span>;</div>
+<div class="line"><a id="l00481" name="l00481"></a><span class="lineno">  481</span> </div>
+<div class="line"><a id="l00488" name="l00488"></a><span class="lineno">  488</span>    <span class="keywordtype">double</span> <a class="code hl_function" href="classdatasketches_1_1hll__union__alloc.html#ab6cbf0e7b9ad7dc653d8cb7bc02e8ee4">get_lower_bound</a>(uint8_t num_std_dev) <span class="keyword">const</span>;</div>
+<div class="line"><a id="l00489" name="l00489"></a><span class="lineno">  489</span> </div>
+<div class="line"><a id="l00496" name="l00496"></a><span class="lineno">  496</span>    <span class="keywordtype">double</span> <a class="code hl_function" href="classdatasketches_1_1hll__union__alloc.html#afb6dfbdd1229e025d57402ac22c1cd2c">get_upper_bound</a>(uint8_t num_std_dev) <span class="keyword">const</span>;</div>
+<div class="line"><a id="l00497" name="l00497"></a><span class="lineno">  497</span> </div>
+<div class="line"><a id="l00502" name="l00502"></a><span class="lineno">  502</span>    uint8_t <a class="code hl_function" href="classdatasketches_1_1hll__union__alloc.html#aacaad8ccad500578a2cae9bef58ad436">get_lg_config_k</a>() <span class="keyword">const</span>;</div>
+<div class="line"><a id="l00503" name="l00503"></a><span class="lineno">  503</span> </div>
+<div class="line"><a id="l00508" name="l00508"></a><span class="lineno">  508</span>    <a class="code hl_enumeration" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4">target_hll_type</a> <a class="code hl_function" href="classdatasketches_1_1hll__union__alloc.html#a0387c920d914fe59fd3c4c53a9a99093">get_target_type</a>() <span class="keyword">const</span>;</div>
+<div class="line"><a id="l00509" name="l00509"></a><span class="lineno">  509</span> </div>
+<div class="line"><a id="l00514" name="l00514"></a><span class="lineno">  514</span>    <span class="keywordtype">bool</span> <a class="code hl_function" href="classdatasketches_1_1hll__union__alloc.html#a5a2b7a58dc85678d08752945ff655362">is_empty</a>() <span class="keyword">const</span>;</div>
+<div class="line"><a id="l00515" name="l00515"></a><span class="lineno">  515</span> </div>
+<div class="line"><a id="l00520" name="l00520"></a><span class="lineno">  520</span>    <span class="keywordtype">void</span> <a class="code hl_function" href="classdatasketches_1_1hll__union__alloc.html#ad20897c5c8bd47f5d4005989bead0e55">reset</a>();</div>
+<div class="line"><a id="l00521" name="l00521"></a><span class="lineno">  521</span> </div>
+<div class="line"><a id="l00528" name="l00528"></a><span class="lineno">  528</span>    hll_sketch_alloc&lt;A&gt; <a class="code hl_function" href="classdatasketches_1_1hll__union__alloc.html#a505bdafe096c4fc8adef4f8438b2da25">get_result</a>(<a class="code hl_enumeration" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4">target_hll_type</a> tgt_type = <a class="code hl_enumvalue" href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4aebdac6704039b95d8b82629c [...]
+<div class="line"><a id="l00529" name="l00529"></a><span class="lineno">  529</span> </div>
+<div class="line"><a id="l00534" name="l00534"></a><span class="lineno">  534</span>    <span class="keywordtype">void</span> <a class="code hl_function" href="classdatasketches_1_1hll__union__alloc.html#a3af0c80a1b31f0e5dd32d140943bf065">update</a>(<span class="keyword">const</span> hll_sketch_alloc&lt;A&gt;&amp; sketch);</div>
+<div class="line"><a id="l00535" name="l00535"></a><span class="lineno">  535</span> </div>
+<div class="line"><a id="l00540" name="l00540"></a><span class="lineno">  540</span>    <span class="keywordtype">void</span> <a class="code hl_function" href="classdatasketches_1_1hll__union__alloc.html#a3af0c80a1b31f0e5dd32d140943bf065">update</a>(hll_sketch_alloc&lt;A&gt;&amp;&amp; sketch);</div>
+<div class="line"><a id="l00541" name="l00541"></a><span class="lineno">  541</span>  </div>
+<div class="line"><a id="l00548" name="l00548"></a><span class="lineno">  548</span>    <span class="keywordtype">void</span> <a class="code hl_function" href="classdatasketches_1_1hll__union__alloc.html#a3af0c80a1b31f0e5dd32d140943bf065">update</a>(<span class="keyword">const</span> std::string&amp; datum);</div>
+<div class="line"><a id="l00549" name="l00549"></a><span class="lineno">  549</span> </div>
+<div class="line"><a id="l00554" name="l00554"></a><span class="lineno">  554</span>    <span class="keywordtype">void</span> <a class="code hl_function" href="classdatasketches_1_1hll__union__alloc.html#a3af0c80a1b31f0e5dd32d140943bf065">update</a>(uint64_t datum);</div>
+<div class="line"><a id="l00555" name="l00555"></a><span class="lineno">  555</span> </div>
+<div class="line"><a id="l00560" name="l00560"></a><span class="lineno">  560</span>    <span class="keywordtype">void</span> <a class="code hl_function" href="classdatasketches_1_1hll__union__alloc.html#a3af0c80a1b31f0e5dd32d140943bf065">update</a>(uint32_t datum);</div>
+<div class="line"><a id="l00561" name="l00561"></a><span class="lineno">  561</span> </div>
+<div class="line"><a id="l00566" name="l00566"></a><span class="lineno">  566</span>    <span class="keywordtype">void</span> <a class="code hl_function" href="classdatasketches_1_1hll__union__alloc.html#a3af0c80a1b31f0e5dd32d140943bf065">update</a>(uint16_t datum);</div>
+<div class="line"><a id="l00567" name="l00567"></a><span class="lineno">  567</span> </div>
+<div class="line"><a id="l00572" name="l00572"></a><span class="lineno">  572</span>    <span class="keywordtype">void</span> <a class="code hl_function" href="classdatasketches_1_1hll__union__alloc.html#a3af0c80a1b31f0e5dd32d140943bf065">update</a>(uint8_t datum);</div>
+<div class="line"><a id="l00573" name="l00573"></a><span class="lineno">  573</span> </div>
+<div class="line"><a id="l00578" name="l00578"></a><span class="lineno">  578</span>    <span class="keywordtype">void</span> <a class="code hl_function" href="classdatasketches_1_1hll__union__alloc.html#a3af0c80a1b31f0e5dd32d140943bf065">update</a>(int64_t datum);</div>
+<div class="line"><a id="l00579" name="l00579"></a><span class="lineno">  579</span> </div>
+<div class="line"><a id="l00584" name="l00584"></a><span class="lineno">  584</span>    <span class="keywordtype">void</span> <a class="code hl_function" href="classdatasketches_1_1hll__union__alloc.html#a3af0c80a1b31f0e5dd32d140943bf065">update</a>(int32_t datum);</div>
+<div class="line"><a id="l00585" name="l00585"></a><span class="lineno">  585</span> </div>
+<div class="line"><a id="l00590" name="l00590"></a><span class="lineno">  590</span>    <span class="keywordtype">void</span> <a class="code hl_function" href="classdatasketches_1_1hll__union__alloc.html#a3af0c80a1b31f0e5dd32d140943bf065">update</a>(int16_t datum);</div>
+<div class="line"><a id="l00591" name="l00591"></a><span class="lineno">  591</span> </div>
+<div class="line"><a id="l00596" name="l00596"></a><span class="lineno">  596</span>    <span class="keywordtype">void</span> <a class="code hl_function" href="classdatasketches_1_1hll__union__alloc.html#a3af0c80a1b31f0e5dd32d140943bf065">update</a>(int8_t datum);</div>
+<div class="line"><a id="l00597" name="l00597"></a><span class="lineno">  597</span> </div>
+<div class="line"><a id="l00602" name="l00602"></a><span class="lineno">  602</span>    <span class="keywordtype">void</span> <a class="code hl_function" href="classdatasketches_1_1hll__union__alloc.html#a3af0c80a1b31f0e5dd32d140943bf065">update</a>(<span class="keywordtype">double</span> datum);</div>
+<div class="line"><a id="l00603" name="l00603"></a><span class="lineno">  603</span> </div>
+<div class="line"><a id="l00608" name="l00608"></a><span class="lineno">  608</span>    <span class="keywordtype">void</span> <a class="code hl_function" href="classdatasketches_1_1hll__union__alloc.html#a3af0c80a1b31f0e5dd32d140943bf065">update</a>(<span class="keywordtype">float</span> datum);</div>
 <div class="line"><a id="l00609" name="l00609"></a><span class="lineno">  609</span> </div>
-<div class="line"><a id="l00620" name="l00620"></a><span class="lineno">  620</span>    <span class="keyword">static</span> <span class="keywordtype">double</span> <a class="code hl_function" href="classdatasketches_1_1hll__union__alloc.html#af1abb48488246839a8732c9f20e3f7db">get_rel_err</a>(<span class="keywordtype">bool</span> upper_bound, <span class="keywordtype">bool</span> unioned,</div>
-<div class="line"><a id="l00621" name="l00621"></a><span class="lineno">  621</span>                              uint8_t lg_config_k, uint8_t num_std_dev);</div>
-<div class="line"><a id="l00622" name="l00622"></a><span class="lineno">  622</span> </div>
-<div class="line"><a id="l00623" name="l00623"></a><span class="lineno">  623</span>  <span class="keyword">private</span>:</div>
-<div class="line"><a id="l00624" name="l00624"></a><span class="lineno">  624</span> </div>
-<div class="line"><a id="l00634" name="l00634"></a><span class="lineno">  634</span>    <span class="keyword">inline</span> <span class="keywordtype">void</span> union_impl(<span class="keyword">const</span> hll_sketch_alloc&lt;A&gt;&amp; sketch, uint8_t lg_max_k);</div>
-<div class="line"><a id="l00635" name="l00635"></a><span class="lineno">  635</span> </div>
-<div class="line"><a id="l00636" name="l00636"></a><span class="lineno">  636</span>    <span class="keyword">static</span> <a class="code hl_class" href="classdatasketches_1_1HllSketchImpl.html">HllSketchImpl&lt;A&gt;</a>* copy_or_downsample(<span class="keyword">const</span> <a class="code hl_class" href="classdatasketches_1_1HllSketchImpl.html">HllSketchImpl&lt;A&gt;</a>* src_impl, uint8_t tgt_lg_k);</div>
-<div class="line"><a id="l00637" name="l00637"></a><span class="lineno">  637</span> </div>
-<div class="line"><a id="l00638" name="l00638"></a><span class="lineno">  638</span>    <span class="keywordtype">void</span> coupon_update(uint32_t coupon);</div>
-<div class="line"><a id="l00639" name="l00639"></a><span class="lineno">  639</span> </div>
-<div class="line"><a id="l00640" name="l00640"></a><span class="lineno">  640</span>    hll_mode get_current_mode() <span class="keyword">const</span>;</div>
-<div class="line"><a id="l00641" name="l00641"></a><span class="lineno">  641</span>    <span class="keywordtype">bool</span> is_out_of_order_flag() <span class="keyword">const</span>;</div>
-<div class="line"><a id="l00642" name="l00642"></a><span class="lineno">  642</span>    <span class="keywordtype">bool</span> is_estimation_mode() <span class="keyword">const</span>;</div>
-<div class="line"><a id="l00643" name="l00643"></a><span class="lineno">  643</span> </div>
-<div class="line"><a id="l00644" name="l00644"></a><span class="lineno">  644</span>    <span class="comment">// calls couponUpdate on sketch, freeing the old sketch upon changes in hll_mode</span></div>
-<div class="line"><a id="l00645" name="l00645"></a><span class="lineno">  645</span>    <span class="keyword">static</span> <a class="code hl_class" href="classdatasketches_1_1HllSketchImpl.html">HllSketchImpl&lt;A&gt;</a>* leak_free_coupon_update(<a class="code hl_class" href="classdatasketches_1_1HllSketchImpl.html">HllSketchImpl&lt;A&gt;</a>* impl, uint32_t coupon);</div>
+<div class="line"><a id="l00615" name="l00615"></a><span class="lineno">  615</span>    <span class="keywordtype">void</span> <a class="code hl_function" href="classdatasketches_1_1hll__union__alloc.html#a3af0c80a1b31f0e5dd32d140943bf065">update</a>(<span class="keyword">const</span> <span class="keywordtype">void</span>* data, <span class="keywordtype">size_t</span> length_bytes);</div>
+<div class="line"><a id="l00616" name="l00616"></a><span class="lineno">  616</span> </div>
+<div class="line"><a id="l00627" name="l00627"></a><span class="lineno">  627</span>    <span class="keyword">static</span> <span class="keywordtype">double</span> <a class="code hl_function" href="classdatasketches_1_1hll__union__alloc.html#af1abb48488246839a8732c9f20e3f7db">get_rel_err</a>(<span class="keywordtype">bool</span> upper_bound, <span class="keywordtype">bool</span> unioned,</div>
+<div class="line"><a id="l00628" name="l00628"></a><span class="lineno">  628</span>                              uint8_t lg_config_k, uint8_t num_std_dev);</div>
+<div class="line"><a id="l00629" name="l00629"></a><span class="lineno">  629</span> </div>
+<div class="line"><a id="l00630" name="l00630"></a><span class="lineno">  630</span>  <span class="keyword">private</span>:</div>
+<div class="line"><a id="l00631" name="l00631"></a><span class="lineno">  631</span> </div>
+<div class="line"><a id="l00641" name="l00641"></a><span class="lineno">  641</span>    <span class="keyword">inline</span> <span class="keywordtype">void</span> union_impl(<span class="keyword">const</span> hll_sketch_alloc&lt;A&gt;&amp; sketch, uint8_t lg_max_k);</div>
+<div class="line"><a id="l00642" name="l00642"></a><span class="lineno">  642</span> </div>
+<div class="line"><a id="l00643" name="l00643"></a><span class="lineno">  643</span>    <span class="keyword">static</span> <a class="code hl_class" href="classdatasketches_1_1HllSketchImpl.html">HllSketchImpl&lt;A&gt;</a>* copy_or_downsample(<span class="keyword">const</span> <a class="code hl_class" href="classdatasketches_1_1HllSketchImpl.html">HllSketchImpl&lt;A&gt;</a>* src_impl, uint8_t tgt_lg_k);</div>
+<div class="line"><a id="l00644" name="l00644"></a><span class="lineno">  644</span> </div>
+<div class="line"><a id="l00645" name="l00645"></a><span class="lineno">  645</span>    <span class="keywordtype">void</span> coupon_update(uint32_t coupon);</div>
 <div class="line"><a id="l00646" name="l00646"></a><span class="lineno">  646</span> </div>
-<div class="line"><a id="l00647" name="l00647"></a><span class="lineno">  647</span>    uint8_t lg_max_k_;</div>
-<div class="line"><a id="l00648" name="l00648"></a><span class="lineno">  648</span>    hll_sketch_alloc&lt;A&gt; gadget_;</div>
-<div class="line"><a id="l00649" name="l00649"></a><span class="lineno">  649</span>};</div>
-</div>
+<div class="line"><a id="l00647" name="l00647"></a><span class="lineno">  647</span>    hll_mode get_current_mode() <span class="keyword">const</span>;</div>
+<div class="line"><a id="l00648" name="l00648"></a><span class="lineno">  648</span>    <span class="keywordtype">bool</span> is_out_of_order_flag() <span class="keyword">const</span>;</div>
+<div class="line"><a id="l00649" name="l00649"></a><span class="lineno">  649</span>    <span class="keywordtype">bool</span> is_estimation_mode() <span class="keyword">const</span>;</div>
 <div class="line"><a id="l00650" name="l00650"></a><span class="lineno">  650</span> </div>
-<div class="line"><a id="l00651" name="l00651"></a><span class="lineno">  651</span>} <span class="comment">// namespace datasketches</span></div>
-<div class="line"><a id="l00652" name="l00652"></a><span class="lineno">  652</span> </div>
-<div class="line"><a id="l00653" name="l00653"></a><span class="lineno">  653</span><span class="preprocessor">#include &quot;hll.private.hpp&quot;</span></div>
-<div class="line"><a id="l00654" name="l00654"></a><span class="lineno">  654</span> </div>
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+<div class="line"><a id="l00651" name="l00651"></a><span class="lineno">  651</span>    <span class="comment">// calls couponUpdate on sketch, freeing the old sketch upon changes in hll_mode</span></div>
+<div class="line"><a id="l00652" name="l00652"></a><span class="lineno">  652</span>    <span class="keyword">static</span> <a class="code hl_class" href="classdatasketches_1_1HllSketchImpl.html">HllSketchImpl&lt;A&gt;</a>* leak_free_coupon_update(<a class="code hl_class" href="classdatasketches_1_1HllSketchImpl.html">HllSketchImpl&lt;A&gt;</a>* impl, uint32_t coupon);</div>
+<div class="line"><a id="l00653" name="l00653"></a><span class="lineno">  653</span> </div>
+<div class="line"><a id="l00654" name="l00654"></a><span class="lineno">  654</span>    uint8_t lg_max_k_;</div>
+<div class="line"><a id="l00655" name="l00655"></a><span class="lineno">  655</span>    hll_sketch_alloc&lt;A&gt; gadget_;</div>
+<div class="line"><a id="l00656" name="l00656"></a><span class="lineno">  656</span>};</div>
+</div>
+<div class="line"><a id="l00657" name="l00657"></a><span class="lineno">  657</span> </div>
+<div class="line"><a id="l00658" name="l00658"></a><span class="lineno">  658</span>} <span class="comment">// namespace datasketches</span></div>
+<div class="line"><a id="l00659" name="l00659"></a><span class="lineno">  659</span> </div>
+<div class="line"><a id="l00660" name="l00660"></a><span class="lineno">  660</span><span class="preprocessor">#include &quot;hll.private.hpp&quot;</span></div>
+<div class="line"><a id="l00661" name="l00661"></a><span class="lineno">  661</span> </div>
+<div class="line"><a id="l00662" name="l00662"></a><span class="lineno">  662</span><span class="preprocessor">#endif </span><span class="comment">// _HLL_HPP_</span></div>
 <div class="ttc" id="aclassdatasketches_1_1HllSketchImpl_html"><div class="ttname"><a href="classdatasketches_1_1HllSketchImpl.html">datasketches::HllSketchImpl</a></div><div class="ttdoc">This is a high performance implementation of Phillipe Flajolet's HLL sketch but with significantly im...</div><div class="ttdef"><b>Definition</b> HllSketchImpl.hpp:31</div></div>
-<div class="ttc" id="aclassdatasketches_1_1hll__union__alloc_html"><div class="ttname"><a href="classdatasketches_1_1hll__union__alloc.html">datasketches::hll_union_alloc</a></div><div class="ttdoc">This performs union operations for HLL sketches.</div><div class="ttdef"><b>Definition</b> hll.hpp:446</div></div>
-<div class="ttc" id="aclassdatasketches_1_1hll__union__alloc_html_a0387c920d914fe59fd3c4c53a9a99093"><div class="ttname"><a href="classdatasketches_1_1hll__union__alloc.html#a0387c920d914fe59fd3c4c53a9a99093">datasketches::hll_union_alloc::get_target_type</a></div><div class="ttdeci">target_hll_type get_target_type() const</div><div class="ttdoc">Returns the union's target HLL mode (from target_hll_type).</div><div class="ttdef"><b>Definition</b> HllUnion-internal.hpp:198</div></div>
+<div class="ttc" id="aclassdatasketches_1_1hll__union__alloc_html"><div class="ttname"><a href="classdatasketches_1_1hll__union__alloc.html">datasketches::hll_union_alloc</a></div><div class="ttdoc">This performs union operations for HLL sketches.</div><div class="ttdef"><b>Definition</b> hll.hpp:453</div></div>
+<div class="ttc" id="aclassdatasketches_1_1hll__union__alloc_html_a0387c920d914fe59fd3c4c53a9a99093"><div class="ttname"><a href="classdatasketches_1_1hll__union__alloc.html#a0387c920d914fe59fd3c4c53a9a99093">datasketches::hll_union_alloc::get_target_type</a></div><div class="ttdeci">target_hll_type get_target_type() const</div><div class="ttdoc">Returns the union's target HLL mode (from target_hll_type).</div><div class="ttdef"><b>Definition</b> HllUnion-internal.hpp:200</div></div>
 <div class="ttc" id="aclassdatasketches_1_1hll__union__alloc_html_a1d6c3cd1e88796786ea124a7aed3800d"><div class="ttname"><a href="classdatasketches_1_1hll__union__alloc.html#a1d6c3cd1e88796786ea124a7aed3800d">datasketches::hll_union_alloc::get_composite_estimate</a></div><div class="ttdeci">double get_composite_estimate() const</div><div class="ttdoc">This is less accurate than the get_estimate() method and is automatically used when the union has gon...</div><div class="ttdef"><b>Defini [...]
 <div class="ttc" id="aclassdatasketches_1_1hll__union__alloc_html_a2afb71f2ef2d82290be4c8eafc08f2a2"><div class="ttname"><a href="classdatasketches_1_1hll__union__alloc.html#a2afb71f2ef2d82290be4c8eafc08f2a2">datasketches::hll_union_alloc::get_estimate</a></div><div class="ttdeci">double get_estimate() const</div><div class="ttdoc">Returns the current cardinality estimate.</div><div class="ttdef"><b>Definition</b> HllUnion-internal.hpp:136</div></div>
 <div class="ttc" id="aclassdatasketches_1_1hll__union__alloc_html_a3af0c80a1b31f0e5dd32d140943bf065"><div class="ttname"><a href="classdatasketches_1_1hll__union__alloc.html#a3af0c80a1b31f0e5dd32d140943bf065">datasketches::hll_union_alloc::update</a></div><div class="ttdeci">void update(const hll_sketch_alloc&lt; A &gt; &amp;sketch)</div><div class="ttdoc">Update this union operator with the given sketch.</div><div class="ttdef"><b>Definition</b> HllUnion-internal.hpp:49</div></div>
 <div class="ttc" id="aclassdatasketches_1_1hll__union__alloc_html_a505bdafe096c4fc8adef4f8438b2da25"><div class="ttname"><a href="classdatasketches_1_1hll__union__alloc.html#a505bdafe096c4fc8adef4f8438b2da25">datasketches::hll_union_alloc::get_result</a></div><div class="ttdeci">hll_sketch_alloc&lt; A &gt; get_result(target_hll_type tgt_type=HLL_4) const</div><div class="ttdoc">Returns the result of this union operator with the specified target_hll_type.</div><div class="ttdef"><b>Defini [...]
-<div class="ttc" id="aclassdatasketches_1_1hll__union__alloc_html_a5a2b7a58dc85678d08752945ff655362"><div class="ttname"><a href="classdatasketches_1_1hll__union__alloc.html#a5a2b7a58dc85678d08752945ff655362">datasketches::hll_union_alloc::is_empty</a></div><div class="ttdeci">bool is_empty() const</div><div class="ttdoc">Indicates if the union is currently empty.</div><div class="ttdef"><b>Definition</b> HllUnion-internal.hpp:178</div></div>
+<div class="ttc" id="aclassdatasketches_1_1hll__union__alloc_html_a5a2b7a58dc85678d08752945ff655362"><div class="ttname"><a href="classdatasketches_1_1hll__union__alloc.html#a5a2b7a58dc85678d08752945ff655362">datasketches::hll_union_alloc::is_empty</a></div><div class="ttdeci">bool is_empty() const</div><div class="ttdoc">Indicates if the union is currently empty.</div><div class="ttdef"><b>Definition</b> HllUnion-internal.hpp:180</div></div>
 <div class="ttc" id="aclassdatasketches_1_1hll__union__alloc_html_aacaad8ccad500578a2cae9bef58ad436"><div class="ttname"><a href="classdatasketches_1_1hll__union__alloc.html#aacaad8ccad500578a2cae9bef58ad436">datasketches::hll_union_alloc::get_lg_config_k</a></div><div class="ttdeci">uint8_t get_lg_config_k() const</div><div class="ttdoc">Returns union's configured lg_k value.</div><div class="ttdef"><b>Definition</b> HllUnion-internal.hpp:168</div></div>
 <div class="ttc" id="aclassdatasketches_1_1hll__union__alloc_html_ab6cbf0e7b9ad7dc653d8cb7bc02e8ee4"><div class="ttname"><a href="classdatasketches_1_1hll__union__alloc.html#ab6cbf0e7b9ad7dc653d8cb7bc02e8ee4">datasketches::hll_union_alloc::get_lower_bound</a></div><div class="ttdeci">double get_lower_bound(uint8_t num_std_dev) const</div><div class="ttdoc">Returns the approximate lower error bound given the specified number of standard deviations.</div><div class="ttdef"><b>Definition</b [...]
 <div class="ttc" id="aclassdatasketches_1_1hll__union__alloc_html_ad20897c5c8bd47f5d4005989bead0e55"><div class="ttname"><a href="classdatasketches_1_1hll__union__alloc.html#ad20897c5c8bd47f5d4005989bead0e55">datasketches::hll_union_alloc::reset</a></div><div class="ttdeci">void reset()</div><div class="ttdoc">Resets the union to an empty state in coupon collection mode.</div><div class="ttdef"><b>Definition</b> HllUnion-internal.hpp:173</div></div>
-<div class="ttc" id="aclassdatasketches_1_1hll__union__alloc_html_af1abb48488246839a8732c9f20e3f7db"><div class="ttname"><a href="classdatasketches_1_1hll__union__alloc.html#af1abb48488246839a8732c9f20e3f7db">datasketches::hll_union_alloc::get_rel_err</a></div><div class="ttdeci">static double get_rel_err(bool upper_bound, bool unioned, uint8_t lg_config_k, uint8_t num_std_dev)</div><div class="ttdoc">Gets the current (approximate) Relative Error (RE) asymptotic values given several para [...]
+<div class="ttc" id="aclassdatasketches_1_1hll__union__alloc_html_af1abb48488246839a8732c9f20e3f7db"><div class="ttname"><a href="classdatasketches_1_1hll__union__alloc.html#af1abb48488246839a8732c9f20e3f7db">datasketches::hll_union_alloc::get_rel_err</a></div><div class="ttdeci">static double get_rel_err(bool upper_bound, bool unioned, uint8_t lg_config_k, uint8_t num_std_dev)</div><div class="ttdoc">Gets the current (approximate) Relative Error (RE) asymptotic values given several para [...]
 <div class="ttc" id="aclassdatasketches_1_1hll__union__alloc_html_afb6dfbdd1229e025d57402ac22c1cd2c"><div class="ttname"><a href="classdatasketches_1_1hll__union__alloc.html#afb6dfbdd1229e025d57402ac22c1cd2c">datasketches::hll_union_alloc::get_upper_bound</a></div><div class="ttdeci">double get_upper_bound(uint8_t num_std_dev) const</div><div class="ttdoc">Returns the approximate upper error bound given the specified number of standard deviations.</div><div class="ttdef"><b>Definition</b [...]
 <div class="ttc" id="anamespacedatasketches_html"><div class="ttname"><a href="namespacedatasketches.html">datasketches</a></div><div class="ttdoc">DataSketches namespace.</div><div class="ttdef"><b>Definition</b> binomial_bounds.hpp:38</div></div>
 <div class="ttc" id="anamespacedatasketches_html_a76c1ad9235877691984d49415bb263e4"><div class="ttname"><a href="namespacedatasketches.html#a76c1ad9235877691984d49415bb263e4">datasketches::target_hll_type</a></div><div class="ttdeci">target_hll_type</div><div class="ttdoc">Specifies the target type of HLL sketch to be created.</div><div class="ttdef"><b>Definition</b> hll.hpp:72</div></div>


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