1<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" 2 "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd"> 3 4<html xmlns="http://www.w3.org/1999/xhtml" xml:lang="en" lang="en"> 5<head> 6<meta name="generator" content="HTML Tidy for Linux/x86 (vers 12 April 2005), see www.w3.org" /> 7<title>Tree Text Find Timing Test</title> 8<meta http-equiv="Content-Type" content="text/html; charset=us-ascii" /> 9</head> 10<body> 11<div id="page"> 12<h1>Tree-Based and Trie-Based Text <tt>find</tt> Find Timing 13 Test</h1> 14<h2><a name="description" id="description">Description</a></h2> 15<p>This test inserts a number of values with keys from an 16 arbitrary text ([<a href="references.html#wickland96thirty">wickland96thirty</a>]) into 17 a container, then performs a series of finds using 18 <tt>find</tt>. It measures the average time for <tt>find</tt> 19 as a function of the number of values inserted.</p> 20<p>(The test was executed with <a href="http://gcc.gnu.org/viewcvs/*checkout*/trunk/libstdc%2B%2B-v3/testsuite/performance/ext/pb_ds/text_find_timing.cc"><tt>text_find_timing_test</tt></a> 21 thirty_years_among_the_dead_preproc.txt 200 200 2100)</p> 22<h2><a name="purpose" id="purpose">Purpose</a></h2> 23<p>The test checks the effect of different underlying 24 data structures.</p> 25<h2><a name="results" id="results">Results</a></h2> 26<p>Figures <a href="#NTTG">NTTG</a>, <a href="#NTTM">NTTM</a>, 27 and <a href="#NTTG">NTTL</a> show the results for the native, 28 tree-based, and trie-based types in <a href="assoc_performance_tests.html#gcc"><u>g++</u></a>, <a href="assoc_performance_tests.html#local"><u>local</u></a>, and 29 <a href="assoc_performance_tests.html#local"><u>local</u></a>, 30 respectively.</p> 31<div id="NTTG_res_div"> 32<div id="NTTG_gcc"> 33<div id="NTTG_random_int_find_find_timing_test_tree"> 34<div id="NTTG_assoc"> 35<div id="NTTG_Native_456_tree-based_456_random_int_find_timing_test_using__tt_find_455tt_"><div style="border-style: dotted; border-width: 1px; border-color: lightgray"><h6 class="c1"><a name="NTTG" id="NTTG"><img src="random_int_find_find_timing_test_tree_gcc.png" alt="no image" /></a></h6>NTTG: Native, tree-based, random int find timing test using <tt>find</tt> - <a href="assoc_performance_tests.html#gcc">g++</a><p>In the above figure, the names in the legends have the following meaning:</p> 36<ol> 37<li> 38splay_tree_map- 39<a href="tree.html"><tt>tree</tt></a> 40 with <tt>Tag</tt> = <a href="splay_tree_tag.html"><tt>splay_tree_tag</tt></a> 41, and <tt>Node_Update</tt> = <a href="null_tree_node_update.html"><tt>null_tree_node_update</tt></a> 42</li> 43<li> 44ov_tree_map- 45<a href="tree.html"><tt>tree</tt></a> 46 with <tt>Tag</tt> = <a href="ov_tree_tag.html"><tt>ov_tree_tag</tt></a> 47, and <tt>Node_Update</tt> = <a href="null_tree_node_update.html"><tt>null_tree_node_update</tt></a> 48</li> 49<li> 50n_map- 51<tt>std::map</tt></li> 52<li> 53rb_tree_map- 54<a href="tree.html"><tt>tree</tt></a> 55 with <tt>Tag</tt> = <a href="rb_tree_tag.html"><tt>rb_tree_tag</tt></a> 56, and <tt>Node_Update</tt> = <a href="null_tree_node_update.html"><tt>null_tree_node_update</tt></a> 57</li> 58</ol> 59</div><div style="width: 100%; height: 20px"></div></div> 60</div> 61</div> 62<div id="NTTM_res_div"> 63<div id="NTTM_msvc"> 64<div id="NTTM_random_int_find_find_timing_test_tree"> 65<div id="NTTM_assoc"> 66<div id="NTTM_Native_456_tree-based_456_random_int_find_timing_test_using__tt_find_455tt_"><div style="border-style: dotted; border-width: 1px; border-color: lightgray"><h6 class="c1"><a name="NTTM" id="NTTM"><img src="random_int_find_find_timing_test_tree_msvc.png" alt="no image" /></a></h6>NTTM: Native, tree-based, random int find timing test using <tt>find</tt> - <a href="assoc_performance_tests.html#msvc">msvc++</a><p>In the above figure, the names in the legends have the following meaning:</p> 67<ol> 68<li> 69splay_tree_map- 70<a href="tree.html"><tt>tree</tt></a> 71 with <tt>Tag</tt> = <a href="splay_tree_tag.html"><tt>splay_tree_tag</tt></a> 72, and <tt>Node_Update</tt> = <a href="null_tree_node_update.html"><tt>null_tree_node_update</tt></a> 73</li> 74<li> 75ov_tree_map- 76<a href="tree.html"><tt>tree</tt></a> 77 with <tt>Tag</tt> = <a href="ov_tree_tag.html"><tt>ov_tree_tag</tt></a> 78, and <tt>Node_Update</tt> = <a href="null_tree_node_update.html"><tt>null_tree_node_update</tt></a> 79</li> 80<li> 81n_map- 82<tt>std::map</tt></li> 83<li> 84rb_tree_map- 85<a href="tree.html"><tt>tree</tt></a> 86 with <tt>Tag</tt> = <a href="rb_tree_tag.html"><tt>rb_tree_tag</tt></a> 87, and <tt>Node_Update</tt> = <a href="null_tree_node_update.html"><tt>null_tree_node_update</tt></a> 88</li> 89</ol> 90</div><div style="width: 100%; height: 20px"></div></div> 91</div> 92</div> 93<div id="NTTL_res_div"> 94<div id="NTTL_local"> 95<div id="NTTL_random_int_find_find_timing_test_tree"> 96<div id="NTTL_assoc"> 97<div id="NTTL_Native_456_tree-based_456_random_int_find_timing_test_using__tt_find_455tt_"><div style = "border-style: dotted; border-width: 1px; border-color: lightgray"><h6 class="c1"><a name="NTTL" id= "NTTL"><img src="random_int_find_find_timing_test_tree_local.png" alt="no image" /></a></h6>NTTL: Native, tree-based, random int find timing test using <tt>find</tt> - <a href = "assoc_performance_tests.html#local">local</a></div><div style = "width: 100%; height: 20px"></div></div> 98</div> 99</div> 100<h2><a name="observations" id="observations">Observations</a></h2> 101<p>For this setting, a splay tree (<a href="tree.html"><tt>tree</tt></a> 102 with <tt>Tag =</tt> <a href="splay_tree_tag.html"><tt>splay_tree_tag</tt></a>) 103 does not do well. This is possibly due to two 104 reasons:</p> 105<ol> 106<li>A splay tree is not guaranteed to be balanced 107 [<a href="references.html#motwani95random">motwani95random</a>]. 108 If a splay tree contains <i>n</i> nodes, its 109 average root-leaf path can be <i>m >> 110 log(n)</i>.</li> 111<li>Assume a specific root-leaf search path has 112 length <i>m</i>, and the search-target node has 113 distance <i>m'</i> from the root. A red-black 114 tree will require <i>m + 1</i> comparisons to 115 find the required node; a splay tree will require 116 <i>2 m'</i> comparisons. A splay tree, 117 consequently, can perform many more comparisons 118 than a red-black tree.</li> 119</ol> 120<p>An ordered-vector tree (<a href="tree.html"><tt>tree</tt></a> 121 with <tt>Tag =</tt> <a href="ov_tree_tag.html"><tt>ov_tree_tag</tt></a>), 122 a red-black tree (<a href="tree.html"><tt>tree</tt></a> 123 with <tt>Tag =</tt> <a href="splay_tree_tag.html"><tt>rb_tree_tag</tt></a>), 124 and the native red-black tree all share 125 approximately the same performance.</p> 126<p>An ordered-vector tree is slightly slower than 127 red-black trees, since it requires, in order to 128 find a key, more math operations than they do. 129 Conversely, an ordered-vector tree requires far 130 lower space than the others. ([<a href="references.html#austern00noset">austern00noset</a>], 131 however, seems to have an implementation that is 132 also faster than a red-black tree).</p> 133<p>A PATRICIA trie (<a href="trie.html"><tt>trie</tt></a> 134 with <tt>Tag =</tt> <a href="pat_trie_tag.html"><tt>pat_trie_tag</tt></a>) 135 has good look-up performance, due to its large 136 fan-out in this case. In this setting, a PATRICIA 137 trie has lookup performance comparable to a hash 138 table (see <a href="hash_text_find_find_timing_test.html">Hash-Based 139 Text <tt>find</tt> Find Timing Test</a>), but it is 140 order preserving. This is not that surprising, 141 since a large fan-out PATRICIA trie works like a 142 hash table with collisions resolved by a sub-trie. 143 A large fan-out PATRICIA trie does not do well on 144 modifications (see <a href="tree_text_insert_timing_test.html">Tree-Based and 145 Trie-Based Text Insert Timing Test</a>). It is 146 possibly beneficial to semi-static settings, 147 therefore.</p> 148<p><a href="assoc_performance_tests.html#tree_like_based_types"> 149 Observations::Tree-Like-Based Container Types</a> 150 summarizes some observations on tree-based and 151 trie-based containers.</p> 152</div> 153</div> 154</div> 155</div> 156</div> 157</div> 158</div> 159</body> 160</html> 161