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| <a href="kmeans_8sql__in.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/* ----------------------------------------------------------------------- */</span><span class="comment">/**</span></div> |
| <div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> *</span></div> |
| <div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * @file kmeans.sql_in</span></div> |
| <div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> *</span></div> |
| <div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * @brief Set of functions for k-means clustering.</span></div> |
| <div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> *</span></div> |
| <div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * @sa For a brief introduction to k-means clustering, see the module</span></div> |
| <div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> * description \ref grp_kmeans.</span></div> |
| <div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="comment"> *</span></div> |
| <div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="comment"> */</span><span class="comment">/* ----------------------------------------------------------------------- */</span></div> |
| <div class="line"><a name="l00011"></a><span class="lineno"> 11</span> </div> |
| <div class="line"><a name="l00012"></a><span class="lineno"> 12</span> m4_include(`SQLCommon.m4<span class="stringliteral">')</span></div> |
| <div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="stringliteral"></span><span class="comment"></span></div> |
| <div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="comment">/**</span></div> |
| <div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="comment">@addtogroup grp_kmeans</span></div> |
| <div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="comment"></span></div> |
| <div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="comment">@about</span></div> |
| <div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="comment"></span></div> |
| <div class="line"><a name="l00019"></a><span class="lineno"> 19</span> <span class="comment">Clustering refers to the problem of partitioning a set of objects according to</span></div> |
| <div class="line"><a name="l00020"></a><span class="lineno"> 20</span> <span class="comment">some problem-dependent measure of <em>similarity</em>. In the k-means variant,</span></div> |
| <div class="line"><a name="l00021"></a><span class="lineno"> 21</span> <span class="comment">one is given \f$ n \f$ points \f$ x_1, \dots, x_n \in \mathbb R^d \f$, and the</span></div> |
| <div class="line"><a name="l00022"></a><span class="lineno"> 22</span> <span class="comment">goal is to position \f$ k \f$ centroids \f$ c_1, \dots, c_k \in \mathbb R^d \f$</span></div> |
| <div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="comment">so that the sum of \em distances between each point and its closest centroid is</span></div> |
| <div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="comment">minimized. Each centroid represents a cluster that consists of all points to</span></div> |
| <div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="comment">which this centroid is closest. Formally, we wish to minimize the following</span></div> |
| <div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="comment">objective function:</span></div> |
| <div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="comment">\f[</span></div> |
| <div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="comment"> (c_1, \dots, c_k) \mapsto \sum_{i=1}^n \min_{j=1}^k \operatorname{dist}(x_i, c_j)</span></div> |
| <div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="comment">\f]</span></div> |
| <div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="comment">In the most common case, \f$ \operatorname{dist} \f$ is the square of the</span></div> |
| <div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="comment">Euclidean distance.</span></div> |
| <div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="comment"></span></div> |
| <div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="comment">This problem is computationally difficult (NP-hard), yet the</span></div> |
| <div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="comment">local-search heuristic proposed by Lloyd [4] performs reasonably well in</span></div> |
| <div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="comment">practice. In fact, it is so ubiquitous today that it is</span></div> |
| <div class="line"><a name="l00036"></a><span class="lineno"> 36</span> <span class="comment">often referred to as the <em>standard algorithm</em> or even just the</span></div> |
| <div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="comment"><em>k-means algorithm</em> [1]. It works as follows:</span></div> |
| <div class="line"><a name="l00038"></a><span class="lineno"> 38</span> <span class="comment"></span></div> |
| <div class="line"><a name="l00039"></a><span class="lineno"> 39</span> <span class="comment">-# Seed the \f$ k \f$ centroids (see below)</span></div> |
| <div class="line"><a name="l00040"></a><span class="lineno"> 40</span> <span class="comment">-# Repeat until convergence:</span></div> |
| <div class="line"><a name="l00041"></a><span class="lineno"> 41</span> <span class="comment"> -# Assign each point to its closest centroid</span></div> |
| <div class="line"><a name="l00042"></a><span class="lineno"> 42</span> <span class="comment"> -# Move each centroid to a position that minimizes the sum of distances in this</span></div> |
| <div class="line"><a name="l00043"></a><span class="lineno"> 43</span> <span class="comment"> cluster</span></div> |
| <div class="line"><a name="l00044"></a><span class="lineno"> 44</span> <span class="comment">-# Convergence is achieved when no points change their assignments during step</span></div> |
| <div class="line"><a name="l00045"></a><span class="lineno"> 45</span> <span class="comment"> 2a.</span></div> |
| <div class="line"><a name="l00046"></a><span class="lineno"> 46</span> <span class="comment"></span></div> |
| <div class="line"><a name="l00047"></a><span class="lineno"> 47</span> <span class="comment">Since the objective function decreases in every step, this algorithm is</span></div> |
| <div class="line"><a name="l00048"></a><span class="lineno"> 48</span> <span class="comment">guaranteed to converge to a local optimum.</span></div> |
| <div class="line"><a name="l00049"></a><span class="lineno"> 49</span> <span class="comment"></span></div> |
| <div class="line"><a name="l00050"></a><span class="lineno"> 50</span> <span class="comment">@implementation</span></div> |
| <div class="line"><a name="l00051"></a><span class="lineno"> 51</span> <span class="comment"></span></div> |
| <div class="line"><a name="l00052"></a><span class="lineno"> 52</span> <span class="comment">Data points and predefined centroids (if used) are expected to be stored row-wise,</span></div> |
| <div class="line"><a name="l00053"></a><span class="lineno"> 53</span> <span class="comment">in a column of type <tt>\ref grp_svec "SVEC"</tt> (or any type convertible to</span></div> |
| <div class="line"><a name="l00054"></a><span class="lineno"> 54</span> <span class="comment"><tt>\ref grp_svec "SVEC"</tt>, like <tt>FLOAT[]</tt> or <tt>INTEGER[]</tt>).</span></div> |
| <div class="line"><a name="l00055"></a><span class="lineno"> 55</span> <span class="comment">Data points with non-finite values (NULL, NaN, infinity) in any component</span></div> |
| <div class="line"><a name="l00056"></a><span class="lineno"> 56</span> <span class="comment">will be skipped during analysis.</span></div> |
| <div class="line"><a name="l00057"></a><span class="lineno"> 57</span> <span class="comment"></span></div> |
| <div class="line"><a name="l00058"></a><span class="lineno"> 58</span> <span class="comment">The following methods are available for the centroid seeding:</span></div> |
| <div class="line"><a name="l00059"></a><span class="lineno"> 59</span> <span class="comment"> - <strong>random selection</strong>:</span></div> |
| <div class="line"><a name="l00060"></a><span class="lineno"> 60</span> <span class="comment"> Select \f$ k \f$ centroids randomly among the input points.</span></div> |
| <div class="line"><a name="l00061"></a><span class="lineno"> 61</span> <span class="comment"> - <strong>kmeans++</strong> [2]:</span></div> |
| <div class="line"><a name="l00062"></a><span class="lineno"> 62</span> <span class="comment"> Start with a single centroid chosen randomly among the input points. Then</span></div> |
| <div class="line"><a name="l00063"></a><span class="lineno"> 63</span> <span class="comment"> iteratively choose new</span></div> |
| <div class="line"><a name="l00064"></a><span class="lineno"> 64</span> <span class="comment"> centroids from the input points until there is a total of \f$ k \f$</span></div> |
| <div class="line"><a name="l00065"></a><span class="lineno"> 65</span> <span class="comment"> centroids. The probability for picking a particular point is proportional to</span></div> |
| <div class="line"><a name="l00066"></a><span class="lineno"> 66</span> <span class="comment"> its minimum distance to any existing centroid.</span></div> |
| <div class="line"><a name="l00067"></a><span class="lineno"> 67</span> <span class="comment"> \n</span></div> |
| <div class="line"><a name="l00068"></a><span class="lineno"> 68</span> <span class="comment"> Intuitively, kmeans++ favors seedings where centroids are spread out over the</span></div> |
| <div class="line"><a name="l00069"></a><span class="lineno"> 69</span> <span class="comment"> whole range of the input points, while at the same time not being too</span></div> |
| <div class="line"><a name="l00070"></a><span class="lineno"> 70</span> <span class="comment"> susceptible to outliers [2].</span></div> |
| <div class="line"><a name="l00071"></a><span class="lineno"> 71</span> <span class="comment"> - <strong>user-specified set of initial centroids</strong>:</span></div> |
| <div class="line"><a name="l00072"></a><span class="lineno"> 72</span> <span class="comment"> See below for a description of the expected format of the set of initial</span></div> |
| <div class="line"><a name="l00073"></a><span class="lineno"> 73</span> <span class="comment"> centroids.</span></div> |
| <div class="line"><a name="l00074"></a><span class="lineno"> 74</span> <span class="comment"></span></div> |
| <div class="line"><a name="l00075"></a><span class="lineno"> 75</span> <span class="comment">The following distance functions can be used (computation of barycenter/mean in parentheses):</span></div> |
| <div class="line"><a name="l00076"></a><span class="lineno"> 76</span> <span class="comment"> - <strong>\ref dist_norm1</strong>: 1-norm/Manhattan (element-wise median [Note that MADlib does not provide a median</span></div> |
| <div class="line"><a name="l00077"></a><span class="lineno"> 77</span> <span class="comment"> aggregate function for support and performance reasons.])</span></div> |
| <div class="line"><a name="l00078"></a><span class="lineno"> 78</span> <span class="comment"> - <strong>\ref dist_norm2</strong>: 2-norm/Euclidean (element-wise mean)</span></div> |
| <div class="line"><a name="l00079"></a><span class="lineno"> 79</span> <span class="comment"> - <strong>\ref squared_dist_norm2</strong>: squared Euclidean distance (element-wise mean)</span></div> |
| <div class="line"><a name="l00080"></a><span class="lineno"> 80</span> <span class="comment"> - <strong>\ref dist_angle</strong>: angle (element-wise mean of normalized points)</span></div> |
| <div class="line"><a name="l00081"></a><span class="lineno"> 81</span> <span class="comment"> - <strong>\ref dist_tanimoto</strong>: tanimoto (element-wise mean of normalized points [5])</span></div> |
| <div class="line"><a name="l00082"></a><span class="lineno"> 82</span> <span class="comment"> - <strong>user defined function</strong> with signature DOUBLE PRECISION[] x DOUBLE PRECISION[] -> DOUBLE PRECISION</span></div> |
| <div class="line"><a name="l00083"></a><span class="lineno"> 83</span> <span class="comment"></span></div> |
| <div class="line"><a name="l00084"></a><span class="lineno"> 84</span> <span class="comment">The following aggregate functions for determining centroids can be used:</span></div> |
| <div class="line"><a name="l00085"></a><span class="lineno"> 85</span> <span class="comment"> - <strong>\ref avg</strong>: average</span></div> |
| <div class="line"><a name="l00086"></a><span class="lineno"> 86</span> <span class="comment"> - <strong>\ref normalized_avg</strong>: normalized average</span></div> |
| <div class="line"><a name="l00087"></a><span class="lineno"> 87</span> <span class="comment"></span></div> |
| <div class="line"><a name="l00088"></a><span class="lineno"> 88</span> <span class="comment">The algorithm stops when one of the following conditions is met:</span></div> |
| <div class="line"><a name="l00089"></a><span class="lineno"> 89</span> <span class="comment"> - The fraction of updated points is smaller than the convergence threshold (default: 0.001).</span></div> |
| <div class="line"><a name="l00090"></a><span class="lineno"> 90</span> <span class="comment"> - The algorithm reaches the maximum number of allowed iterations (default: 20).</span></div> |
| <div class="line"><a name="l00091"></a><span class="lineno"> 91</span> <span class="comment"></span></div> |
| <div class="line"><a name="l00092"></a><span class="lineno"> 92</span> <span class="comment">A popular method to assess the quality of the clustering is the</span></div> |
| <div class="line"><a name="l00093"></a><span class="lineno"> 93</span> <span class="comment"><em>silhouette coefficient</em>, a simplified version of which is provided as part of the k-means module.</span></div> |
| <div class="line"><a name="l00094"></a><span class="lineno"> 94</span> <span class="comment">Note that for large data sets, this computation is expensive.</span></div> |
| <div class="line"><a name="l00095"></a><span class="lineno"> 95</span> <span class="comment"></span></div> |
| <div class="line"><a name="l00096"></a><span class="lineno"> 96</span> <span class="comment">@input</span></div> |
| <div class="line"><a name="l00097"></a><span class="lineno"> 97</span> <span class="comment">The <strong>source relation</strong> is expected to be of the following form (or</span></div> |
| <div class="line"><a name="l00098"></a><span class="lineno"> 98</span> <span class="comment">to be implicitly convertible into the following form):</span></div> |
| <div class="line"><a name="l00099"></a><span class="lineno"> 99</span> <span class="comment"><pre>{TABLE|VIEW} <em>rel_source</em> (</span></div> |
| <div class="line"><a name="l00100"></a><span class="lineno"> 100</span> <span class="comment"> ...</span></div> |
| <div class="line"><a name="l00101"></a><span class="lineno"> 101</span> <span class="comment"> <em>expr_points</em> FLOAT8[],</span></div> |
| <div class="line"><a name="l00102"></a><span class="lineno"> 102</span> <span class="comment"> ...</span></div> |
| <div class="line"><a name="l00103"></a><span class="lineno"> 103</span> <span class="comment">)</pre></span></div> |
| <div class="line"><a name="l00104"></a><span class="lineno"> 104</span> <span class="comment">where:</span></div> |
| <div class="line"><a name="l00105"></a><span class="lineno"> 105</span> <span class="comment"> - <em>expr_points</em> is the name of a column with point coordinates.</span></div> |
| <div class="line"><a name="l00106"></a><span class="lineno"> 106</span> <span class="comment"> Types such as \c svec or <tt>INTEGER[]</tt> are implicitly converted to</span></div> |
| <div class="line"><a name="l00107"></a><span class="lineno"> 107</span> <span class="comment"> <tt>FLOAT8[]</tt>.</span></div> |
| <div class="line"><a name="l00108"></a><span class="lineno"> 108</span> <span class="comment"></span></div> |
| <div class="line"><a name="l00109"></a><span class="lineno"> 109</span> <span class="comment">If kmeans is called with a set of initial centroids, the centroid relation is</span></div> |
| <div class="line"><a name="l00110"></a><span class="lineno"> 110</span> <span class="comment">expected to be of the following form:</span></div> |
| <div class="line"><a name="l00111"></a><span class="lineno"> 111</span> <span class="comment"><pre>{TABLE|VIEW} <em>rel_initial_centroids</em> (</span></div> |
| <div class="line"><a name="l00112"></a><span class="lineno"> 112</span> <span class="comment"> ...</span></div> |
| <div class="line"><a name="l00113"></a><span class="lineno"> 113</span> <span class="comment"> <em>expr_centroid</em> DOUBLE PRECISION[],</span></div> |
| <div class="line"><a name="l00114"></a><span class="lineno"> 114</span> <span class="comment"> ...</span></div> |
| <div class="line"><a name="l00115"></a><span class="lineno"> 115</span> <span class="comment">)</pre></span></div> |
| <div class="line"><a name="l00116"></a><span class="lineno"> 116</span> <span class="comment">where:</span></div> |
| <div class="line"><a name="l00117"></a><span class="lineno"> 117</span> <span class="comment"> - <em>expr_centroid</em> is the name of a column with coordinates.</span></div> |
| <div class="line"><a name="l00118"></a><span class="lineno"> 118</span> <span class="comment"></span></div> |
| <div class="line"><a name="l00119"></a><span class="lineno"> 119</span> <span class="comment">@usage</span></div> |
| <div class="line"><a name="l00120"></a><span class="lineno"> 120</span> <span class="comment">The k-means algorithm can be invoked in four possible ways:</span></div> |
| <div class="line"><a name="l00121"></a><span class="lineno"> 121</span> <span class="comment"></span></div> |
| <div class="line"><a name="l00122"></a><span class="lineno"> 122</span> <span class="comment">- using <em>random</em> centroid seeding method for a</span></div> |
| <div class="line"><a name="l00123"></a><span class="lineno"> 123</span> <span class="comment">provided \f$ k \f$:</span></div> |
| <div class="line"><a name="l00124"></a><span class="lineno"> 124</span> <span class="comment"><pre>SELECT * FROM \ref kmeans_random(</span></div> |
| <div class="line"><a name="l00125"></a><span class="lineno"> 125</span> <span class="comment"> '<em>rel_source</em>', '<em>expr_point</em>', k,</span></div> |
| <div class="line"><a name="l00126"></a><span class="lineno"> 126</span> <span class="comment"> [ '<em>fn_dist</em>', '<em>agg_centroid</em>',</span></div> |
| <div class="line"><a name="l00127"></a><span class="lineno"> 127</span> <span class="comment"> <em>max_num_iterations</em>, <em>min_frac_reassigned</em> ]</span></div> |
| <div class="line"><a name="l00128"></a><span class="lineno"> 128</span> <span class="comment">);</pre></span></div> |
| <div class="line"><a name="l00129"></a><span class="lineno"> 129</span> <span class="comment"></span></div> |
| <div class="line"><a name="l00130"></a><span class="lineno"> 130</span> <span class="comment">- using <em>kmeans++</em> centroid seeding method for a</span></div> |
| <div class="line"><a name="l00131"></a><span class="lineno"> 131</span> <span class="comment">provided \f$ k \f$:</span></div> |
| <div class="line"><a name="l00132"></a><span class="lineno"> 132</span> <span class="comment"><pre>SELECT * FROM \ref kmeanspp(</span></div> |
| <div class="line"><a name="l00133"></a><span class="lineno"> 133</span> <span class="comment"> '<em>rel_source</em>', '<em>expr_point</em>', k,</span></div> |
| <div class="line"><a name="l00134"></a><span class="lineno"> 134</span> <span class="comment"> [ '<em>fn_dist</em>', '<em>agg_centroid</em>',</span></div> |
| <div class="line"><a name="l00135"></a><span class="lineno"> 135</span> <span class="comment"> <em>max_num_iterations</em>, <em>min_frac_reassigned</em> ]</span></div> |
| <div class="line"><a name="l00136"></a><span class="lineno"> 136</span> <span class="comment">);</pre></span></div> |
| <div class="line"><a name="l00137"></a><span class="lineno"> 137</span> <span class="comment"></span></div> |
| <div class="line"><a name="l00138"></a><span class="lineno"> 138</span> <span class="comment">- with a provided centroid set:</span></div> |
| <div class="line"><a name="l00139"></a><span class="lineno"> 139</span> <span class="comment"><pre>SELECT * FROM \ref kmeans(</span></div> |
| <div class="line"><a name="l00140"></a><span class="lineno"> 140</span> <span class="comment"> '<em>rel_source</em>', '<em>expr_point</em>',</span></div> |
| <div class="line"><a name="l00141"></a><span class="lineno"> 141</span> <span class="comment"> '<em>rel_initial_centroids</em>', '<em>expr_centroid</em>',</span></div> |
| <div class="line"><a name="l00142"></a><span class="lineno"> 142</span> <span class="comment"> [ '<em>fn_dist</em>', '<em>agg_centroid</em>',</span></div> |
| <div class="line"><a name="l00143"></a><span class="lineno"> 143</span> <span class="comment"> <em>max_num_iterations</em>, <em>min_frac_reassigned</em> ]</span></div> |
| <div class="line"><a name="l00144"></a><span class="lineno"> 144</span> <span class="comment">);</pre></span></div> |
| <div class="line"><a name="l00145"></a><span class="lineno"> 145</span> <span class="comment">------------ OR ---------------</span></div> |
| <div class="line"><a name="l00146"></a><span class="lineno"> 146</span> <span class="comment"><pre>SELECT * FROM \ref kmeans(</span></div> |
| <div class="line"><a name="l00147"></a><span class="lineno"> 147</span> <span class="comment"> '<em>rel_source</em>', '<em>expr_point</em>',</span></div> |
| <div class="line"><a name="l00148"></a><span class="lineno"> 148</span> <span class="comment"> initial_centroids,</span></div> |
| <div class="line"><a name="l00149"></a><span class="lineno"> 149</span> <span class="comment"> [ '<em>fn_dist</em>', '<em>agg_centroid</em>',</span></div> |
| <div class="line"><a name="l00150"></a><span class="lineno"> 150</span> <span class="comment"> <em>max_num_iterations</em>, <em>min_frac_reassigned</em> ]</span></div> |
| <div class="line"><a name="l00151"></a><span class="lineno"> 151</span> <span class="comment">);</pre></span></div> |
| <div class="line"><a name="l00152"></a><span class="lineno"> 152</span> <span class="comment">where:</span></div> |
| <div class="line"><a name="l00153"></a><span class="lineno"> 153</span> <span class="comment"> - <em>initial_centroids</em> is of type <tt>DOUBLE PRECISION[][]</tt>.</span></div> |
| <div class="line"><a name="l00154"></a><span class="lineno"> 154</span> <span class="comment"></span></div> |
| <div class="line"><a name="l00155"></a><span class="lineno"> 155</span> <span class="comment">The output of the k-means module is a table that includes the final</span></div> |
| <div class="line"><a name="l00156"></a><span class="lineno"> 156</span> <span class="comment">centroid positions (DOUBLE PRECISION[][]), the objective function,</span></div> |
| <div class="line"><a name="l00157"></a><span class="lineno"> 157</span> <span class="comment">the fraction of reassigned points in the last iteration, and</span></div> |
| <div class="line"><a name="l00158"></a><span class="lineno"> 158</span> <span class="comment">the number of total iterations:</span></div> |
| <div class="line"><a name="l00159"></a><span class="lineno"> 159</span> <span class="comment"><pre></span></div> |
| <div class="line"><a name="l00160"></a><span class="lineno"> 160</span> <span class="comment"> centroids | objective_fn | frac_reassigned | num_iterations</span></div> |
| <div class="line"><a name="l00161"></a><span class="lineno"> 161</span> <span class="comment">----------------------------------+------------------+-----------------+----------------</span></div> |
| <div class="line"><a name="l00162"></a><span class="lineno"> 162</span> <span class="comment"> ...</span></div> |
| <div class="line"><a name="l00163"></a><span class="lineno"> 163</span> <span class="comment"></pre></span></div> |
| <div class="line"><a name="l00164"></a><span class="lineno"> 164</span> <span class="comment"></span></div> |
| <div class="line"><a name="l00165"></a><span class="lineno"> 165</span> <span class="comment">@examp</span></div> |
| <div class="line"><a name="l00166"></a><span class="lineno"> 166</span> <span class="comment"></span></div> |
| <div class="line"><a name="l00167"></a><span class="lineno"> 167</span> <span class="comment">-# Prepare some input data.</span></div> |
| <div class="line"><a name="l00168"></a><span class="lineno"> 168</span> <span class="comment">\code</span></div> |
| <div class="line"><a name="l00169"></a><span class="lineno"> 169</span> <span class="comment">sql> SELECT * FROM public.km_sample LIMIT 5;</span></div> |
| <div class="line"><a name="l00170"></a><span class="lineno"> 170</span> <span class="comment"> points</span></div> |
| <div class="line"><a name="l00171"></a><span class="lineno"> 171</span> <span class="comment">-------------------------------------------</span></div> |
| <div class="line"><a name="l00172"></a><span class="lineno"> 172</span> <span class="comment"> {1,1}:{15.8822241332382,105.945462542586}</span></div> |
| <div class="line"><a name="l00173"></a><span class="lineno"> 173</span> <span class="comment"> {1,1}:{34.5065216883086,72.3126099305227}</span></div> |
| <div class="line"><a name="l00174"></a><span class="lineno"> 174</span> <span class="comment"> {1,1}:{22.5074400822632,95.3209559689276}</span></div> |
| <div class="line"><a name="l00175"></a><span class="lineno"> 175</span> <span class="comment"> {1,1}:{70.2589857042767,68.7395178806037}</span></div> |
| <div class="line"><a name="l00176"></a><span class="lineno"> 176</span> <span class="comment"> {1,1}:{30.9844257542863,25.3213323024102}</span></div> |
| <div class="line"><a name="l00177"></a><span class="lineno"> 177</span> <span class="comment">(5 rows)</span></div> |
| <div class="line"><a name="l00178"></a><span class="lineno"> 178</span> <span class="comment">\endcode</span></div> |
| <div class="line"><a name="l00179"></a><span class="lineno"> 179</span> <span class="comment">Note: the example <em>points</em> is type <tt>\ref grp_svec "SVEC"</tt>.</span></div> |
| <div class="line"><a name="l00180"></a><span class="lineno"> 180</span> <span class="comment">-# Run k-means clustering using kmeans++ for centroid seeding:</span></div> |
| <div class="line"><a name="l00181"></a><span class="lineno"> 181</span> <span class="comment">\code</span></div> |
| <div class="line"><a name="l00182"></a><span class="lineno"> 182</span> <span class="comment">sql> SELECT * FROM madlib.kmeanspp('km_sample', 'points', 2, 'madlib.squared_dist_norm2', 'madlib.avg', 20, 0.001);</span></div> |
| <div class="line"><a name="l00183"></a><span class="lineno"> 183</span> <span class="comment">);</span></div> |
| <div class="line"><a name="l00184"></a><span class="lineno"> 184</span> <span class="comment"> centroids | objective_fn | frac_reassigned | num_iterations</span></div> |
| <div class="line"><a name="l00185"></a><span class="lineno"> 185</span> <span class="comment">-------------------------------------------------------------------------+------------------+-----------------+----------------</span></div> |
| <div class="line"><a name="l00186"></a><span class="lineno"> 186</span> <span class="comment"> {{68.01668579784,48.9667382972952},{28.1452167573446,84.5992507653263}} | 586729.010675982 | 0.001 | 5</span></div> |
| <div class="line"><a name="l00187"></a><span class="lineno"> 187</span> <span class="comment">\endcode</span></div> |
| <div class="line"><a name="l00188"></a><span class="lineno"> 188</span> <span class="comment">-# Calculate the simplified silhouette coefficient:</span></div> |
| <div class="line"><a name="l00189"></a><span class="lineno"> 189</span> <span class="comment">\code</span></div> |
| <div class="line"><a name="l00190"></a><span class="lineno"> 190</span> <span class="comment">sql> SELECT * from madlib.simple_silhouette('km_test_svec','points',</span></div> |
| <div class="line"><a name="l00191"></a><span class="lineno"> 191</span> <span class="comment"> (select centroids from madlib.kmeanspp('km_test_svec','points',2,'madlib.squared_dist_norm2','madlib.avg',20,0.001)),</span></div> |
| <div class="line"><a name="l00192"></a><span class="lineno"> 192</span> <span class="comment"> 'madlib.dist_norm2');</span></div> |
| <div class="line"><a name="l00193"></a><span class="lineno"> 193</span> <span class="comment"> simple_silhouette</span></div> |
| <div class="line"><a name="l00194"></a><span class="lineno"> 194</span> <span class="comment">-------------------</span></div> |
| <div class="line"><a name="l00195"></a><span class="lineno"> 195</span> <span class="comment"> 0.611022970398174</span></div> |
| <div class="line"><a name="l00196"></a><span class="lineno"> 196</span> <span class="comment">\endcode</span></div> |
| <div class="line"><a name="l00197"></a><span class="lineno"> 197</span> <span class="comment"></span></div> |
| <div class="line"><a name="l00198"></a><span class="lineno"> 198</span> <span class="comment">@literature</span></div> |
| <div class="line"><a name="l00199"></a><span class="lineno"> 199</span> <span class="comment"></span></div> |
| <div class="line"><a name="l00200"></a><span class="lineno"> 200</span> <span class="comment">[1] Wikipedia, K-means Clustering,</span></div> |
| <div class="line"><a name="l00201"></a><span class="lineno"> 201</span> <span class="comment"> http://en.wikipedia.org/wiki/K-means_clustering</span></div> |
| <div class="line"><a name="l00202"></a><span class="lineno"> 202</span> <span class="comment"></span></div> |
| <div class="line"><a name="l00203"></a><span class="lineno"> 203</span> <span class="comment">[2] David Arthur, Sergei Vassilvitskii: k-means++: the advantages of careful</span></div> |
| <div class="line"><a name="l00204"></a><span class="lineno"> 204</span> <span class="comment"> seeding, Proceedings of the 18th Annual ACM-SIAM Symposium on Discrete</span></div> |
| <div class="line"><a name="l00205"></a><span class="lineno"> 205</span> <span class="comment"> Algorithms (SODA'07), pp. 1027-1035,</span></div> |
| <div class="line"><a name="l00206"></a><span class="lineno"> 206</span> <span class="comment"> http://www.stanford.edu/~darthur/kMeansPlusPlus.pdf</span></div> |
| <div class="line"><a name="l00207"></a><span class="lineno"> 207</span> <span class="comment"></span></div> |
| <div class="line"><a name="l00208"></a><span class="lineno"> 208</span> <span class="comment">[3] E. R. Hruschka, L. N. C. Silva, R. J. G. B. Campello: Clustering</span></div> |
| <div class="line"><a name="l00209"></a><span class="lineno"> 209</span> <span class="comment"> Gene-Expression Data: A Hybrid Approach that Iterates Between k-Means and</span></div> |
| <div class="line"><a name="l00210"></a><span class="lineno"> 210</span> <span class="comment"> Evolutionary Search. In: Studies in Computational Intelligence - Hybrid</span></div> |
| <div class="line"><a name="l00211"></a><span class="lineno"> 211</span> <span class="comment"> Evolutionary Algorithms. pp. 313-335. Springer. 2007.</span></div> |
| <div class="line"><a name="l00212"></a><span class="lineno"> 212</span> <span class="comment"></span></div> |
| <div class="line"><a name="l00213"></a><span class="lineno"> 213</span> <span class="comment">[4] Lloyd, Stuart: Least squares quantization in PCM. Technical Note, Bell</span></div> |
| <div class="line"><a name="l00214"></a><span class="lineno"> 214</span> <span class="comment"> Laboratories. Published much later in: IEEE Transactions on Information</span></div> |
| <div class="line"><a name="l00215"></a><span class="lineno"> 215</span> <span class="comment"> Theory 28(2), pp. 128-137. 1982.</span></div> |
| <div class="line"><a name="l00216"></a><span class="lineno"> 216</span> <span class="comment"></span></div> |
| <div class="line"><a name="l00217"></a><span class="lineno"> 217</span> <span class="comment">[5] Leisch, Friedrich: A Toolbox for K-Centroids Cluster Analysis. In: Computational</span></div> |
| <div class="line"><a name="l00218"></a><span class="lineno"> 218</span> <span class="comment"> Statistics and Data Analysis, 51(2). pp. 526-544. 2006.</span></div> |
| <div class="line"><a name="l00219"></a><span class="lineno"> 219</span> <span class="comment"></span></div> |
| <div class="line"><a name="l00220"></a><span class="lineno"> 220</span> <span class="comment">@sa File kmeans.sql_in documenting the SQL functions.</span></div> |
| <div class="line"><a name="l00221"></a><span class="lineno"> 221</span> <span class="comment"></span></div> |
| <div class="line"><a name="l00222"></a><span class="lineno"> 222</span> <span class="comment">@internal</span></div> |
| <div class="line"><a name="l00223"></a><span class="lineno"> 223</span> <span class="comment">@sa namespace kmeans (documenting the implementation in Python)</span></div> |
| <div class="line"><a name="l00224"></a><span class="lineno"> 224</span> <span class="comment">@endinternal</span></div> |
| <div class="line"><a name="l00225"></a><span class="lineno"> 225</span> <span class="comment">*/</span></div> |
| <div class="line"><a name="l00226"></a><span class="lineno"> 226</span> </div> |
| <div class="line"><a name="l00227"></a><span class="lineno"> 227</span> /*</div> |
| <div class="line"><a name="l00228"></a><span class="lineno"> 228</span>  * @brief k-Means return type</div> |
| <div class="line"><a name="l00229"></a><span class="lineno"> 229</span>  *</div> |
| <div class="line"><a name="l00230"></a><span class="lineno"> 230</span>  * A composite value:</div> |
| <div class="line"><a name="l00231"></a><span class="lineno"> 231</span>  * - <tt>centroids</tt> - Matrix containing the new \f$ l \leq k \f$</div> |
| <div class="line"><a name="l00232"></a><span class="lineno"> 232</span>  * repositioned centroids as columns. If this matrix has \f$ l < k \f$</div> |
| <div class="line"><a name="l00233"></a><span class="lineno"> 233</span>  * columns, one or more old centroids no longer were closest to any point.</div> |
| <div class="line"><a name="l00234"></a><span class="lineno"> 234</span>  * - <tt>old_centroid_its</tt> - The order of the centroids in</div> |
| <div class="line"><a name="l00235"></a><span class="lineno"> 235</span>  * <tt>centroid</tt> is not guaranteed to be consitent across iterations.</div> |
| <div class="line"><a name="l00236"></a><span class="lineno"> 236</span>  * In particular, if a centroid is no longer closest to any point it can be</div> |
| <div class="line"><a name="l00237"></a><span class="lineno"> 237</span>  * dropped and a new centroid is added afterwards. We therefore need to map</div> |
| <div class="line"><a name="l00238"></a><span class="lineno"> 238</span>  * positions in <tt>centroids</tt> to the respective positions in the</div> |
| <div class="line"><a name="l00239"></a><span class="lineno"> 239</span>  * previous iteration.</div> |
| <div class="line"><a name="l00240"></a><span class="lineno"> 240</span>  * - <tt>objective_fn</tt> - Value of the objective function, i.e.,</div> |
| <div class="line"><a name="l00241"></a><span class="lineno"> 241</span>  * \f$ \sum_{x \in P} \dist(x, C)^2 \f$ where</div> |
| <div class="line"><a name="l00242"></a><span class="lineno"> 242</span>  * \f$ P \f$ is the set of points, \f$ C \f$ is the set of centroids, and</div> |
| <div class="line"><a name="l00243"></a><span class="lineno"> 243</span>  * \f$ \dist(x, C) := \min_{c \in C} \operatorname{dist}(x, c) \f$.</div> |
| <div class="line"><a name="l00244"></a><span class="lineno"> 244</span>  * - <tt>frac_reassigned</tt> - Fraction of points that was assigned a</div> |
| <div class="line"><a name="l00245"></a><span class="lineno"> 245</span>  * different centroid in the current iteration.</div> |
| <div class="line"><a name="l00246"></a><span class="lineno"> 246</span>  * - <tt>num_iterations</tt> - Number of iterations performed (so far).</div> |
| <div class="line"><a name="l00247"></a><span class="lineno"> 247</span>  */</div> |
| <div class="line"><a name="l00248"></a><span class="lineno"> 248</span> CREATE TYPE MADLIB_SCHEMA.kmeans_result AS (</div> |
| <div class="line"><a name="l00249"></a><span class="lineno"> 249</span>  centroids DOUBLE PRECISION[][],</div> |
| <div class="line"><a name="l00250"></a><span class="lineno"> 250</span>  objective_fn DOUBLE PRECISION,</div> |
| <div class="line"><a name="l00251"></a><span class="lineno"> 251</span>  frac_reassigned DOUBLE PRECISION,</div> |
| <div class="line"><a name="l00252"></a><span class="lineno"> 252</span>  num_iterations INTEGER</div> |
| <div class="line"><a name="l00253"></a><span class="lineno"> 253</span> );</div> |
| <div class="line"><a name="l00254"></a><span class="lineno"> 254</span> </div> |
| <div class="line"><a name="l00255"></a><span class="lineno"> 255</span> /*</div> |
| <div class="line"><a name="l00256"></a><span class="lineno"> 256</span>  * @brief k-Means inter-iteration state type</div> |
| <div class="line"><a name="l00257"></a><span class="lineno"> 257</span>  *</div> |
| <div class="line"><a name="l00258"></a><span class="lineno"> 258</span>  * A composite value like \ref{kmeans_result}. Additional fields:</div> |
| <div class="line"><a name="l00259"></a><span class="lineno"> 259</span>  * - <tt>old_centroid_its</tt> - The order of the centroids in</div> |
| <div class="line"><a name="l00260"></a><span class="lineno"> 260</span>  * <tt>centroid</tt> is not guaranteed to be consitent across iterations.</div> |
| <div class="line"><a name="l00261"></a><span class="lineno"> 261</span>  * In particular, if a centroid is no longer closest to any point it can be</div> |
| <div class="line"><a name="l00262"></a><span class="lineno"> 262</span>  * dropped and a new centroid is added afterwards. We therefore need to map</div> |
| <div class="line"><a name="l00263"></a><span class="lineno"> 263</span>  * positions in <tt>centroids</tt> to the respective positions in the</div> |
| <div class="line"><a name="l00264"></a><span class="lineno"> 264</span>  * previous iteration.</div> |
| <div class="line"><a name="l00265"></a><span class="lineno"> 265</span>  * - <tt>num_iterations</tt> - Number of iterations performed (so far).</div> |
| <div class="line"><a name="l00266"></a><span class="lineno"> 266</span>  */</div> |
| <div class="line"><a name="l00267"></a><span class="lineno"> 267</span> CREATE TYPE MADLIB_SCHEMA.kmeans_state AS (</div> |
| <div class="line"><a name="l00268"></a><span class="lineno"> 268</span>  centroids DOUBLE PRECISION[][],</div> |
| <div class="line"><a name="l00269"></a><span class="lineno"> 269</span>  old_centroid_ids INTEGER[],</div> |
| <div class="line"><a name="l00270"></a><span class="lineno"> 270</span>  objective_fn DOUBLE PRECISION,</div> |
| <div class="line"><a name="l00271"></a><span class="lineno"> 271</span>  frac_reassigned DOUBLE PRECISION</div> |
| <div class="line"><a name="l00272"></a><span class="lineno"> 272</span> );</div> |
| <div class="line"><a name="l00273"></a><span class="lineno"> 273</span> <span class="comment"></span></div> |
| <div class="line"><a name="l00274"></a><span class="lineno"> 274</span> <span class="comment">/**</span></div> |
| <div class="line"><a name="l00275"></a><span class="lineno"> 275</span> <span class="comment"> * @internal</span></div> |
| <div class="line"><a name="l00276"></a><span class="lineno"> 276</span> <span class="comment"> * @brief Execute a SQL command where $1, ..., $4 are substituted with the</span></div> |
| <div class="line"><a name="l00277"></a><span class="lineno"> 277</span> <span class="comment"> * given arguments.</span></div> |
| <div class="line"><a name="l00278"></a><span class="lineno"> 278</span> <span class="comment"> */</span></div> |
| <div class="line"><a name="l00279"></a><span class="lineno"> 279</span> CREATE FUNCTION MADLIB_SCHEMA.internal_execute_using_kmeans_args(</div> |
| <div class="line"><a name="l00280"></a><span class="lineno"> 280</span>  sql VARCHAR, DOUBLE PRECISION[][], REGPROC, INTEGER, DOUBLE PRECISION</div> |
| <div class="line"><a name="l00281"></a><span class="lineno"> 281</span> ) RETURNS VOID</div> |
| <div class="line"><a name="l00282"></a><span class="lineno"> 282</span> VOLATILE</div> |
| <div class="line"><a name="l00283"></a><span class="lineno"> 283</span> CALLED ON NULL INPUT</div> |
| <div class="line"><a name="l00284"></a><span class="lineno"> 284</span> LANGUAGE c</div> |
| <div class="line"><a name="l00285"></a><span class="lineno"> 285</span> AS 'MODULE_PATHNAME<span class="stringliteral">', '</span>exec_sql_using<span class="stringliteral">';</span></div> |
| <div class="line"><a name="l00286"></a><span class="lineno"> 286</span> <span class="stringliteral"></span></div> |
| <div class="line"><a name="l00287"></a><span class="lineno"> 287</span> <span class="stringliteral">CREATE FUNCTION MADLIB_SCHEMA.internal_compute_kmeans(</span></div> |
| <div class="line"><a name="l00288"></a><span class="lineno"> 288</span> <span class="stringliteral"> rel_args VARCHAR,</span></div> |
| <div class="line"><a name="l00289"></a><span class="lineno"> 289</span> <span class="stringliteral"> rel_state VARCHAR,</span></div> |
| <div class="line"><a name="l00290"></a><span class="lineno"> 290</span> <span class="stringliteral"> rel_source VARCHAR,</span></div> |
| <div class="line"><a name="l00291"></a><span class="lineno"> 291</span> <span class="stringliteral"> expr_point VARCHAR,</span></div> |
| <div class="line"><a name="l00292"></a><span class="lineno"> 292</span> <span class="stringliteral"> agg_centroid VARCHAR)</span></div> |
| <div class="line"><a name="l00293"></a><span class="lineno"> 293</span> <span class="stringliteral">RETURNS INTEGER</span></div> |
| <div class="line"><a name="l00294"></a><span class="lineno"> 294</span> <span class="stringliteral">VOLATILE</span></div> |
| <div class="line"><a name="l00295"></a><span class="lineno"> 295</span> <span class="stringliteral">LANGUAGE plpythonu</span></div> |
| <div class="line"><a name="l00296"></a><span class="lineno"> 296</span> <span class="stringliteral">AS $$PythonFunction(kmeans, kmeans, compute_kmeans)$$;</span></div> |
| <div class="line"><a name="l00297"></a><span class="lineno"> 297</span> <span class="stringliteral"></span><span class="comment"></span></div> |
| <div class="line"><a name="l00298"></a><span class="lineno"> 298</span> <span class="comment">/**</span></div> |
| <div class="line"><a name="l00299"></a><span class="lineno"> 299</span> <span class="comment"> * @brief Perform Lloyd's k-means local-search heuristic</span></div> |
| <div class="line"><a name="l00300"></a><span class="lineno"> 300</span> <span class="comment"> *</span></div> |
| <div class="line"><a name="l00301"></a><span class="lineno"> 301</span> <span class="comment"> * @param rel_source Name of the relation containing input points</span></div> |
| <div class="line"><a name="l00302"></a><span class="lineno"> 302</span> <span class="comment"> * @param expr_point Expression evaluating to point coordinates for each tuple</span></div> |
| <div class="line"><a name="l00303"></a><span class="lineno"> 303</span> <span class="comment"> * @param initial_centroids Matrix containing the initial centroids as columns</span></div> |
| <div class="line"><a name="l00304"></a><span class="lineno"> 304</span> <span class="comment"> * @param fn_dist Name of a function with signature</span></div> |
| <div class="line"><a name="l00305"></a><span class="lineno"> 305</span> <span class="comment"> * <tt>DOUBLE PRECISION[] x DOUBLE PRECISION[] -> DOUBLE PRECISION</tt> that</span></div> |
| <div class="line"><a name="l00306"></a><span class="lineno"> 306</span> <span class="comment"> * returns the distance between two points. The default is the</span></div> |
| <div class="line"><a name="l00307"></a><span class="lineno"> 307</span> <span class="comment"> * \ref squared_dist_norm2(float8[],float8[]) "squared Euclidean distance".</span></div> |
| <div class="line"><a name="l00308"></a><span class="lineno"> 308</span> <span class="comment"> * @param agg_centroid Name of an aggregate function with signature</span></div> |
| <div class="line"><a name="l00309"></a><span class="lineno"> 309</span> <span class="comment"> * <tt>DOUBLE PRECISION[] -> DOUBLE PRECISION[]</tt> that, for each group</span></div> |
| <div class="line"><a name="l00310"></a><span class="lineno"> 310</span> <span class="comment"> * of points, returns a centroid. In order for Lloyd's local-search</span></div> |
| <div class="line"><a name="l00311"></a><span class="lineno"> 311</span> <span class="comment"> * heuristic to provably converge and to return a local minimum, this</span></div> |
| <div class="line"><a name="l00312"></a><span class="lineno"> 312</span> <span class="comment"> * centroid should minimize the sum of distances between each point in the</span></div> |
| <div class="line"><a name="l00313"></a><span class="lineno"> 313</span> <span class="comment"> * group and the centroid. The default is the</span></div> |
| <div class="line"><a name="l00314"></a><span class="lineno"> 314</span> <span class="comment"> * \ref avg(float8[]) "average (mean/barycenter in Euclidean space)",</span></div> |
| <div class="line"><a name="l00315"></a><span class="lineno"> 315</span> <span class="comment"> * which satisfies this property if <tt>fn_dist = 'squared_dist_norm2'</tt>.</span></div> |
| <div class="line"><a name="l00316"></a><span class="lineno"> 316</span> <span class="comment"> * @param max_num_iterations Maximum number of iterations</span></div> |
| <div class="line"><a name="l00317"></a><span class="lineno"> 317</span> <span class="comment"> * @param min_frac_reassigned Fraction of reassigned points below which</span></div> |
| <div class="line"><a name="l00318"></a><span class="lineno"> 318</span> <span class="comment"> * convergence is assumed and the algorithm terminates</span></div> |
| <div class="line"><a name="l00319"></a><span class="lineno"> 319</span> <span class="comment"> * @returns A composite value:</span></div> |
| <div class="line"><a name="l00320"></a><span class="lineno"> 320</span> <span class="comment"> * - <tt>centroids</tt> - Matrix with \f$ k \f$ centroids as columns.</span></div> |
| <div class="line"><a name="l00321"></a><span class="lineno"> 321</span> <span class="comment"> * - <tt>frac_reassigned</tt> - Fraction of points that were assigned a</span></div> |
| <div class="line"><a name="l00322"></a><span class="lineno"> 322</span> <span class="comment"> * different centroid in the last iteration.</span></div> |
| <div class="line"><a name="l00323"></a><span class="lineno"> 323</span> <span class="comment"> * - <tt>num_iterations</tt> - The number of iterations before the</span></div> |
| <div class="line"><a name="l00324"></a><span class="lineno"> 324</span> <span class="comment"> * algorithm terminated</span></div> |
| <div class="line"><a name="l00325"></a><span class="lineno"> 325</span> <span class="comment"> */</span></div> |
| <div class="line"><a name="l00326"></a><span class="lineno"> 326</span> CREATE FUNCTION MADLIB_SCHEMA.kmeans(</div> |
| <div class="line"><a name="l00327"></a><span class="lineno"> 327</span>  rel_source VARCHAR,</div> |
| <div class="line"><a name="l00328"></a><span class="lineno"> 328</span>  expr_point VARCHAR,</div> |
| <div class="line"><a name="l00329"></a><span class="lineno"> 329</span>  initial_centroids DOUBLE PRECISION[][],</div> |
| <div class="line"><a name="l00330"></a><span class="lineno"> 330</span>  fn_dist VARCHAR /*+ DEFAULT '<a class="code" href="linalg_8sql__in.html#a00a08e69f27524f2096032214e15b668" title="Squared 2-norm of the difference between two vectors. ">squared_dist_norm2</a><span class="stringliteral">' */,</span></div> |
| <div class="line"><a name="l00331"></a><span class="lineno"> 331</span> <span class="stringliteral"> agg_centroid VARCHAR /*+ DEFAULT '</span><a class="code" href="linalg_8sql__in.html#a1aa37f73fb1cd8d7d106aa518dd8c0b4" title="Compute the average of vectors. ">avg</a><span class="stringliteral">' */,</span></div> |
| <div class="line"><a name="l00332"></a><span class="lineno"> 332</span> <span class="stringliteral"> max_num_iterations INTEGER /*+ DEFAULT 20 */,</span></div> |
| <div class="line"><a name="l00333"></a><span class="lineno"> 333</span> <span class="stringliteral"> min_frac_reassigned DOUBLE PRECISION /*+ DEFAULT 0.001 */</span></div> |
| <div class="line"><a name="l00334"></a><span class="lineno"> 334</span> <span class="stringliteral">) RETURNS MADLIB_SCHEMA.kmeans_result AS $$</span></div> |
| <div class="line"><a name="l00335"></a><span class="lineno"> 335</span> <span class="stringliteral">DECLARE</span></div> |
| <div class="line"><a name="l00336"></a><span class="lineno"> 336</span> <span class="stringliteral"> theIteration INTEGER;</span></div> |
| <div class="line"><a name="l00337"></a><span class="lineno"> 337</span> <span class="stringliteral"> theResult MADLIB_SCHEMA.kmeans_result;</span></div> |
| <div class="line"><a name="l00338"></a><span class="lineno"> 338</span> <span class="stringliteral"> oldClientMinMessages VARCHAR;</span></div> |
| <div class="line"><a name="l00339"></a><span class="lineno"> 339</span> <span class="stringliteral"> class_rel_source REGCLASS;</span></div> |
| <div class="line"><a name="l00340"></a><span class="lineno"> 340</span> <span class="stringliteral"> proc_fn_dist REGPROCEDURE;</span></div> |
| <div class="line"><a name="l00341"></a><span class="lineno"> 341</span> <span class="stringliteral"> proc_agg_centroid REGPROCEDURE;</span></div> |
| <div class="line"><a name="l00342"></a><span class="lineno"> 342</span> <span class="stringliteral"> rel_filtered VARCHAR;</span></div> |
| <div class="line"><a name="l00343"></a><span class="lineno"> 343</span> <span class="stringliteral"> num_points INTEGER;</span></div> |
| <div class="line"><a name="l00344"></a><span class="lineno"> 344</span> <span class="stringliteral"> k INTEGER;</span></div> |
| <div class="line"><a name="l00345"></a><span class="lineno"> 345</span> <span class="stringliteral"> centroids FLOAT8[];</span></div> |
| <div class="line"><a name="l00346"></a><span class="lineno"> 346</span> <span class="stringliteral">BEGIN</span></div> |
| <div class="line"><a name="l00347"></a><span class="lineno"> 347</span> <span class="stringliteral"> IF (array_upper(initial_centroids,1) IS NULL) THEN</span></div> |
| <div class="line"><a name="l00348"></a><span class="lineno"><a class="code" href="kmeans_8sql__in.html#ae8bb21bf12220aa9de82792376afab7d"> 348</a></span> <span class="stringliteral"> RAISE EXCEPTION '</span>No valid initial centroids given.<span class="stringliteral">';</span></div> |
| <div class="line"><a name="l00349"></a><span class="lineno"> 349</span> <span class="stringliteral"> END IF;</span></div> |
| <div class="line"><a name="l00350"></a><span class="lineno"> 350</span> <span class="stringliteral"></span></div> |
| <div class="line"><a name="l00351"></a><span class="lineno"> 351</span> <span class="stringliteral"> centroids := ARRAY(SELECT unnest(initial_centroids));</span></div> |
| <div class="line"><a name="l00352"></a><span class="lineno"> 352</span> <span class="stringliteral"> IF (SELECT MADLIB_SCHEMA.svec_elsum(centroids)) >= '</span>Infinity<span class="stringliteral">'::float THEN</span></div> |
| <div class="line"><a name="l00353"></a><span class="lineno"> 353</span> <span class="stringliteral"> RAISE EXCEPTION '</span>At least one initial centroid has non-finite values.<span class="stringliteral">';</span></div> |
| <div class="line"><a name="l00354"></a><span class="lineno"> 354</span> <span class="stringliteral"> END IF;</span></div> |
| <div class="line"><a name="l00355"></a><span class="lineno"> 355</span> <span class="stringliteral"></span></div> |
| <div class="line"><a name="l00356"></a><span class="lineno"> 356</span> <span class="stringliteral"> rel_filtered = MADLIB_SCHEMA.__filter_input_relation(rel_source, expr_point);</span></div> |
| <div class="line"><a name="l00357"></a><span class="lineno"> 357</span> <span class="stringliteral"> class_rel_source := rel_filtered;</span></div> |
| <div class="line"><a name="l00358"></a><span class="lineno"> 358</span> <span class="stringliteral"> proc_fn_dist := fn_dist</span></div> |
| <div class="line"><a name="l00359"></a><span class="lineno"> 359</span> <span class="stringliteral"> || '</span>(DOUBLE PRECISION[], DOUBLE PRECISION[])<span class="stringliteral">';</span></div> |
| <div class="line"><a name="l00360"></a><span class="lineno"> 360</span> <span class="stringliteral"> IF (SELECT prorettype != '</span>DOUBLE PRECISION<span class="stringliteral">'::regtype OR proisagg = TRUE</span></div> |
| <div class="line"><a name="l00361"></a><span class="lineno"> 361</span> <span class="stringliteral"> FROM pg_proc WHERE oid = proc_fn_dist) THEN</span></div> |
| <div class="line"><a name="l00362"></a><span class="lineno"> 362</span> <span class="stringliteral"> RAISE EXCEPTION '</span>Distance <span class="keyword">function</span> has wrong signature or is not a simple <span class="keyword">function</span>.<span class="stringliteral">';</span></div> |
| <div class="line"><a name="l00363"></a><span class="lineno"> 363</span> <span class="stringliteral"> END IF;</span></div> |
| <div class="line"><a name="l00364"></a><span class="lineno"> 364</span> <span class="stringliteral"> proc_agg_centroid := agg_centroid || '</span>(DOUBLE PRECISION[])<span class="stringliteral">';</span></div> |
| <div class="line"><a name="l00365"></a><span class="lineno"> 365</span> <span class="stringliteral"> IF (SELECT prorettype != '</span>DOUBLE PRECISION[]<span class="stringliteral">'::regtype OR proisagg = FALSE</span></div> |
| <div class="line"><a name="l00366"></a><span class="lineno"> 366</span> <span class="stringliteral"> FROM pg_proc WHERE oid = proc_agg_centroid) THEN</span></div> |
| <div class="line"><a name="l00367"></a><span class="lineno"> 367</span> <span class="stringliteral"> RAISE EXCEPTION '</span>Mean aggregate has wrong signature or is not an aggregate.<span class="stringliteral">';</span></div> |
| <div class="line"><a name="l00368"></a><span class="lineno"> 368</span> <span class="stringliteral"> END IF;</span></div> |
| <div class="line"><a name="l00369"></a><span class="lineno"> 369</span> <span class="stringliteral"> IF (min_frac_reassigned < 0) OR (min_frac_reassigned > 1) THEN</span></div> |
| <div class="line"><a name="l00370"></a><span class="lineno"> 370</span> <span class="stringliteral"> RAISE EXCEPTION '</span>Convergence threshold is not a valid value (must be a fraction between 0 and 1).<span class="stringliteral">';</span></div> |
| <div class="line"><a name="l00371"></a><span class="lineno"> 371</span> <span class="stringliteral"> END IF;</span></div> |
| <div class="line"><a name="l00372"></a><span class="lineno"> 372</span> <span class="stringliteral"> IF (max_num_iterations < 0) THEN</span></div> |
| <div class="line"><a name="l00373"></a><span class="lineno"> 373</span> <span class="stringliteral"> RAISE EXCEPTION '</span>Number of iterations must be a non-negative integer.<span class="stringliteral">';</span></div> |
| <div class="line"><a name="l00374"></a><span class="lineno"> 374</span> <span class="stringliteral"> END IF;</span></div> |
| <div class="line"><a name="l00375"></a><span class="lineno"> 375</span> <span class="stringliteral"></span></div> |
| <div class="line"><a name="l00376"></a><span class="lineno"> 376</span> <span class="stringliteral"> -- Extra parameter check added so that ERROR output is more user-readable (doesn'</span>t include Python traceback)</div> |
| <div class="line"><a name="l00377"></a><span class="lineno"> 377</span>  k := array_upper(initial_centroids,1);</div> |
| <div class="line"><a name="l00378"></a><span class="lineno"> 378</span>  IF (k <= 0) THEN</div> |
| <div class="line"><a name="l00379"></a><span class="lineno"> 379</span>  RAISE EXCEPTION 'Number of clusters k must be a positive integer.';</div> |
| <div class="line"><a name="l00380"></a><span class="lineno"> 380</span>  END IF;</div> |
| <div class="line"><a name="l00381"></a><span class="lineno"> 381</span>  IF (k > 32767) THEN</div> |
| <div class="line"><a name="l00382"></a><span class="lineno"> 382</span>  RAISE EXCEPTION 'Number of clusters k must be <= 32767 (for results to be returned in a reasonable amount of time).';</div> |
| <div class="line"><a name="l00383"></a><span class="lineno"> 383</span>  END IF;</div> |
| <div class="line"><a name="l00384"></a><span class="lineno"> 384</span>  EXECUTE $sql$ SELECT count(*) FROM $sql$ || textin(regclassout(class_rel_source)) INTO num_points ;</div> |
| <div class="line"><a name="l00385"></a><span class="lineno"> 385</span>  IF (num_points < k) THEN</div> |
| <div class="line"><a name="l00386"></a><span class="lineno"> 386</span>  RAISE EXCEPTION 'Number of centroids is greater than number of points.';</div> |
| <div class="line"><a name="l00387"></a><span class="lineno"> 387</span>  END IF;</div> |
| <div class="line"><a name="l00388"></a><span class="lineno"> 388</span> </div> |
| <div class="line"><a name="l00389"></a><span class="lineno"> 389</span>  -- We first setup the argument table. Rationale: We want to avoid all data</div> |
| <div class="line"><a name="l00390"></a><span class="lineno"> 390</span>  -- conversion between native types and Python code. Instead, we use Python</div> |
| <div class="line"><a name="l00391"></a><span class="lineno"> 391</span>  -- as a pure driver layer.</div> |
| <div class="line"><a name="l00392"></a><span class="lineno"> 392</span>  PERFORM MADLIB_SCHEMA.<a class="code" href="utilities_8sql__in.html#a56501b6f9fabe65d7a6a6beb70a0e000" title="Create the temporary schema if it does not exist yet. ">create_schema_pg_temp</a>();</div> |
| <div class="line"><a name="l00393"></a><span class="lineno"> 393</span>  oldClientMinMessages :=</div> |
| <div class="line"><a name="l00394"></a><span class="lineno"> 394</span>  (SELECT setting FROM pg_settings WHERE name = 'client_min_messages');</div> |
| <div class="line"><a name="l00395"></a><span class="lineno"> 395</span>  EXECUTE 'SET client_min_messages TO warning';</div> |
| <div class="line"><a name="l00396"></a><span class="lineno"> 396</span> </div> |
| <div class="line"><a name="l00397"></a><span class="lineno"> 397</span>  -- Unfortunately, the EXECUTE USING syntax is only available starting</div> |
| <div class="line"><a name="l00398"></a><span class="lineno"> 398</span>  -- PostgreSQL 8.4:</div> |
| <div class="line"><a name="l00399"></a><span class="lineno"> 399</span>  -- http:<span class="comment">//www.postgresql.org/docs/8.4/static/plpgsql-statements.html#PLPGSQL-STATEMENTS-EXECUTING-DYN</span></div> |
| <div class="line"><a name="l00400"></a><span class="lineno"> 400</span>  -- We therefore have to emulate.</div> |
| <div class="line"><a name="l00401"></a><span class="lineno"> 401</span>  PERFORM MADLIB_SCHEMA.internal_execute_using_kmeans_args($sql$</div> |
| <div class="line"><a name="l00402"></a><span class="lineno"> 402</span>  DROP TABLE IF EXISTS pg_temp._madlib_kmeans_args;</div> |
| <div class="line"><a name="l00403"></a><span class="lineno"> 403</span>  CREATE TABLE pg_temp._madlib_kmeans_args AS</div> |
| <div class="line"><a name="l00404"></a><span class="lineno"> 404</span>  SELECT</div> |
| <div class="line"><a name="l00405"></a><span class="lineno"> 405</span>  $1 AS initial_centroids, array_upper($1, 1) AS k,</div> |
| <div class="line"><a name="l00406"></a><span class="lineno"> 406</span>  $2 AS fn_dist, $3 AS max_num_iterations,</div> |
| <div class="line"><a name="l00407"></a><span class="lineno"> 407</span>  $4 AS min_frac_reassigned;</div> |
| <div class="line"><a name="l00408"></a><span class="lineno"> 408</span>  $sql$,</div> |
| <div class="line"><a name="l00409"></a><span class="lineno"> 409</span>  initial_centroids, proc_fn_dist, max_num_iterations,</div> |
| <div class="line"><a name="l00410"></a><span class="lineno"> 410</span>  min_frac_reassigned);</div> |
| <div class="line"><a name="l00411"></a><span class="lineno"> 411</span>  EXECUTE 'SET client_min_messages TO ' || oldClientMinMessages;</div> |
| <div class="line"><a name="l00412"></a><span class="lineno"> 412</span> </div> |
| <div class="line"><a name="l00413"></a><span class="lineno"> 413</span>  -- Perform acutal computation.</div> |
| <div class="line"><a name="l00414"></a><span class="lineno"> 414</span>  -- Unfortunately, Greenplum and PostgreSQL <= 8.2 do not have conversion</div> |
| <div class="line"><a name="l00415"></a><span class="lineno"> 415</span>  -- operators from regclass to varchar/text.</div> |
| <div class="line"><a name="l00416"></a><span class="lineno"> 416</span>  theIteration := MADLIB_SCHEMA.internal_compute_kmeans('_madlib_kmeans_args',</div> |
| <div class="line"><a name="l00417"></a><span class="lineno"> 417</span>  '_madlib_kmeans_state',</div> |
| <div class="line"><a name="l00418"></a><span class="lineno"> 418</span>  textin(regclassout(class_rel_source)), expr_point,</div> |
| <div class="line"><a name="l00419"></a><span class="lineno"> 419</span>  textin(regprocout(proc_agg_centroid)));</div> |
| <div class="line"><a name="l00420"></a><span class="lineno"> 420</span> </div> |
| <div class="line"><a name="l00421"></a><span class="lineno"> 421</span>  -- Retrieve result from state table and return it</div> |
| <div class="line"><a name="l00422"></a><span class="lineno"> 422</span>  EXECUTE</div> |
| <div class="line"><a name="l00423"></a><span class="lineno"> 423</span>  $sql$</div> |
| <div class="line"><a name="l00424"></a><span class="lineno"> 424</span>  SELECT (_state).centroids, (_state).objective_fn,</div> |
| <div class="line"><a name="l00425"></a><span class="lineno"> 425</span>  (_state).frac_reassigned, NULL</div> |
| <div class="line"><a name="l00426"></a><span class="lineno"> 426</span>  FROM _madlib_kmeans_state</div> |
| <div class="line"><a name="l00427"></a><span class="lineno"> 427</span>  WHERE _iteration = $sql$ || theIteration || $sql$</div> |
| <div class="line"><a name="l00428"></a><span class="lineno"> 428</span>  $sql$</div> |
| <div class="line"><a name="l00429"></a><span class="lineno"> 429</span>  INTO theResult;</div> |
| <div class="line"><a name="l00430"></a><span class="lineno"> 430</span>  -- The number of iterations are not updated in the C++ code. We do it here.</div> |
| <div class="line"><a name="l00431"></a><span class="lineno"> 431</span>  IF NOT (theResult IS NULL) THEN</div> |
| <div class="line"><a name="l00432"></a><span class="lineno"> 432</span>  theResult.num_iterations = theIteration;</div> |
| <div class="line"><a name="l00433"></a><span class="lineno"> 433</span>  END IF;</div> |
| <div class="line"><a name="l00434"></a><span class="lineno"> 434</span>  RETURN theResult;</div> |
| <div class="line"><a name="l00435"></a><span class="lineno"> 435</span> END;</div> |
| <div class="line"><a name="l00436"></a><span class="lineno"> 436</span> $$ LANGUAGE plpgsql VOLATILE;</div> |
| <div class="line"><a name="l00437"></a><span class="lineno"> 437</span> </div> |
| <div class="line"><a name="l00438"></a><span class="lineno"> 438</span> CREATE FUNCTION MADLIB_SCHEMA.<a class="code" href="kmeans_8sql__in.html#ae8bb21bf12220aa9de82792376afab7d" title="Perform Lloyd's k-means local-search heuristic. ">kmeans</a>(</div> |
| <div class="line"><a name="l00439"></a><span class="lineno"> 439</span>  rel_source VARCHAR,</div> |
| <div class="line"><a name="l00440"></a><span class="lineno"> 440</span>  expr_point VARCHAR,</div> |
| <div class="line"><a name="l00441"></a><span class="lineno"> 441</span>  initial_centroids DOUBLE PRECISION[][],</div> |
| <div class="line"><a name="l00442"></a><span class="lineno"> 442</span>  fn_dist VARCHAR,</div> |
| <div class="line"><a name="l00443"></a><span class="lineno"> 443</span>  agg_centroid VARCHAR,</div> |
| <div class="line"><a name="l00444"></a><span class="lineno"> 444</span>  max_num_iterations INTEGER</div> |
| <div class="line"><a name="l00445"></a><span class="lineno"> 445</span> ) RETURNS MADLIB_SCHEMA.kmeans_result</div> |
| <div class="line"><a name="l00446"></a><span class="lineno"> 446</span> VOLATILE</div> |
| <div class="line"><a name="l00447"></a><span class="lineno"> 447</span> STRICT</div> |
| <div class="line"><a name="l00448"></a><span class="lineno"> 448</span> LANGUAGE sql AS $$</div> |
| <div class="line"><a name="l00449"></a><span class="lineno"> 449</span>  SELECT MADLIB_SCHEMA.<a class="code" href="kmeans_8sql__in.html#ae8bb21bf12220aa9de82792376afab7d" title="Perform Lloyd's k-means local-search heuristic. ">kmeans</a>($1, $2, $3, $4, $5, $6, 0.001)</div> |
| <div class="line"><a name="l00450"></a><span class="lineno"> 450</span> $$;</div> |
| <div class="line"><a name="l00451"></a><span class="lineno"> 451</span> </div> |
| <div class="line"><a name="l00452"></a><span class="lineno"> 452</span> CREATE FUNCTION MADLIB_SCHEMA.kmeans(</div> |
| <div class="line"><a name="l00453"></a><span class="lineno"> 453</span>  rel_source VARCHAR,</div> |
| <div class="line"><a name="l00454"></a><span class="lineno"> 454</span>  expr_point VARCHAR,</div> |
| <div class="line"><a name="l00455"></a><span class="lineno"> 455</span>  initial_centroids DOUBLE PRECISION[][],</div> |
| <div class="line"><a name="l00456"></a><span class="lineno"> 456</span>  fn_dist VARCHAR,</div> |
| <div class="line"><a name="l00457"></a><span class="lineno"> 457</span>  agg_centroid VARCHAR</div> |
| <div class="line"><a name="l00458"></a><span class="lineno"> 458</span> ) RETURNS MADLIB_SCHEMA.kmeans_result</div> |
| <div class="line"><a name="l00459"></a><span class="lineno"> 459</span> VOLATILE</div> |
| <div class="line"><a name="l00460"></a><span class="lineno"> 460</span> STRICT</div> |
| <div class="line"><a name="l00461"></a><span class="lineno"> 461</span> LANGUAGE sql AS $$</div> |
| <div class="line"><a name="l00462"></a><span class="lineno"> 462</span>  SELECT MADLIB_SCHEMA.kmeans($1, $2, $3, $4, $5, 20, 0.001)</div> |
| <div class="line"><a name="l00463"></a><span class="lineno"> 463</span> $$;</div> |
| <div class="line"><a name="l00464"></a><span class="lineno"> 464</span> </div> |
| <div class="line"><a name="l00465"></a><span class="lineno"> 465</span> CREATE FUNCTION MADLIB_SCHEMA.kmeans(</div> |
| <div class="line"><a name="l00466"></a><span class="lineno"> 466</span>  rel_source VARCHAR,</div> |
| <div class="line"><a name="l00467"></a><span class="lineno"> 467</span>  expr_point VARCHAR,</div> |
| <div class="line"><a name="l00468"></a><span class="lineno"> 468</span>  initial_centroids DOUBLE PRECISION[][],</div> |
| <div class="line"><a name="l00469"></a><span class="lineno"> 469</span>  fn_dist VARCHAR</div> |
| <div class="line"><a name="l00470"></a><span class="lineno"> 470</span> ) RETURNS MADLIB_SCHEMA.kmeans_result</div> |
| <div class="line"><a name="l00471"></a><span class="lineno"> 471</span> VOLATILE</div> |
| <div class="line"><a name="l00472"></a><span class="lineno"> 472</span> STRICT</div> |
| <div class="line"><a name="l00473"></a><span class="lineno"> 473</span> LANGUAGE sql AS $$</div> |
| <div class="line"><a name="l00474"></a><span class="lineno"> 474</span>  SELECT MADLIB_SCHEMA.kmeans($1, $2, $3, $4, 'MADLIB_SCHEMA.<a class="code" href="linalg_8sql__in.html#a1aa37f73fb1cd8d7d106aa518dd8c0b4" title="Compute the average of vectors. ">avg</a>', 20,</div> |
| <div class="line"><a name="l00475"></a><span class="lineno"> 475</span>  0.001)</div> |
| <div class="line"><a name="l00476"></a><span class="lineno"> 476</span> $$;</div> |
| <div class="line"><a name="l00477"></a><span class="lineno"> 477</span> </div> |
| <div class="line"><a name="l00478"></a><span class="lineno"> 478</span> CREATE FUNCTION MADLIB_SCHEMA.kmeans(</div> |
| <div class="line"><a name="l00479"></a><span class="lineno"> 479</span>  rel_source VARCHAR,</div> |
| <div class="line"><a name="l00480"></a><span class="lineno"> 480</span>  expr_point VARCHAR,</div> |
| <div class="line"><a name="l00481"></a><span class="lineno"> 481</span>  initial_centroids DOUBLE PRECISION[][]</div> |
| <div class="line"><a name="l00482"></a><span class="lineno"> 482</span> ) RETURNS MADLIB_SCHEMA.kmeans_result</div> |
| <div class="line"><a name="l00483"></a><span class="lineno"> 483</span> VOLATILE</div> |
| <div class="line"><a name="l00484"></a><span class="lineno"> 484</span> STRICT</div> |
| <div class="line"><a name="l00485"></a><span class="lineno"> 485</span> LANGUAGE sql AS $$</div> |
| <div class="line"><a name="l00486"></a><span class="lineno"> 486</span>  SELECT MADLIB_SCHEMA.kmeans($1, $2, $3,</div> |
| <div class="line"><a name="l00487"></a><span class="lineno"> 487</span>  'MADLIB_SCHEMA.<a class="code" href="linalg_8sql__in.html#a00a08e69f27524f2096032214e15b668" title="Squared 2-norm of the difference between two vectors. ">squared_dist_norm2</a>', 'MADLIB_SCHEMA.avg', 20, 0.001)</div> |
| <div class="line"><a name="l00488"></a><span class="lineno"> 488</span> $$;</div> |
| <div class="line"><a name="l00489"></a><span class="lineno"> 489</span> </div> |
| <div class="line"><a name="l00490"></a><span class="lineno"> 490</span> CREATE FUNCTION MADLIB_SCHEMA.internal_execute_using_kmeanspp_seeding_args(</div> |
| <div class="line"><a name="l00491"></a><span class="lineno"> 491</span>  sql VARCHAR, INTEGER, REGPROC, DOUBLE PRECISION[][]</div> |
| <div class="line"><a name="l00492"></a><span class="lineno"> 492</span> ) RETURNS VOID</div> |
| <div class="line"><a name="l00493"></a><span class="lineno"> 493</span> VOLATILE</div> |
| <div class="line"><a name="l00494"></a><span class="lineno"> 494</span> CALLED ON NULL INPUT</div> |
| <div class="line"><a name="l00495"></a><span class="lineno"> 495</span> LANGUAGE c</div> |
| <div class="line"><a name="l00496"></a><span class="lineno"> 496</span> AS 'MODULE_PATHNAME', 'exec_sql_using';</div> |
| <div class="line"><a name="l00497"></a><span class="lineno"> 497</span> </div> |
| <div class="line"><a name="l00498"></a><span class="lineno"> 498</span> CREATE FUNCTION MADLIB_SCHEMA.internal_compute_kmeanspp_seeding(</div> |
| <div class="line"><a name="l00499"></a><span class="lineno"> 499</span>  rel_args VARCHAR,</div> |
| <div class="line"><a name="l00500"></a><span class="lineno"> 500</span>  rel_state VARCHAR,</div> |
| <div class="line"><a name="l00501"></a><span class="lineno"> 501</span>  rel_source VARCHAR,</div> |
| <div class="line"><a name="l00502"></a><span class="lineno"> 502</span>  expr_point VARCHAR)</div> |
| <div class="line"><a name="l00503"></a><span class="lineno"> 503</span> RETURNS INTEGER</div> |
| <div class="line"><a name="l00504"></a><span class="lineno"> 504</span> AS $$PythonFunction(kmeans, kmeans, compute_kmeanspp_seeding)$$</div> |
| <div class="line"><a name="l00505"></a><span class="lineno"> 505</span> LANGUAGE plpythonu VOLATILE;</div> |
| <div class="line"><a name="l00506"></a><span class="lineno"> 506</span> <span class="comment"></span></div> |
| <div class="line"><a name="l00507"></a><span class="lineno"> 507</span> <span class="comment">/**</span></div> |
| <div class="line"><a name="l00508"></a><span class="lineno"> 508</span> <span class="comment"> * @brief k-Means++ Seeding</span></div> |
| <div class="line"><a name="l00509"></a><span class="lineno"> 509</span> <span class="comment"> *</span></div> |
| <div class="line"><a name="l00510"></a><span class="lineno"> 510</span> <span class="comment"> * @param rel_source Name of the relation containing input points</span></div> |
| <div class="line"><a name="l00511"></a><span class="lineno"> 511</span> <span class="comment"> * @param expr_point Expression evaluating to point coordinates for each tuple</span></div> |
| <div class="line"><a name="l00512"></a><span class="lineno"> 512</span> <span class="comment"> * @param k Number of centroids</span></div> |
| <div class="line"><a name="l00513"></a><span class="lineno"> 513</span> <span class="comment"> * @param fn_dist Name of a function with signature</span></div> |
| <div class="line"><a name="l00514"></a><span class="lineno"> 514</span> <span class="comment"> * <tt>DOUBLE PRECISION[] x DOUBLE PRECISION[] -> DOUBLE PRECISION</tt> that</span></div> |
| <div class="line"><a name="l00515"></a><span class="lineno"> 515</span> <span class="comment"> * returns the distance between two points</span></div> |
| <div class="line"><a name="l00516"></a><span class="lineno"> 516</span> <span class="comment"> * @param initial_centroids A matrix containing up to \f$ k \f$ columns as</span></div> |
| <div class="line"><a name="l00517"></a><span class="lineno"> 517</span> <span class="comment"> * columns. kmeanspp_seeding() proceeds exactly as if these centroids had</span></div> |
| <div class="line"><a name="l00518"></a><span class="lineno"> 518</span> <span class="comment"> * already been generated in previous iterations. This parameter may be</span></div> |
| <div class="line"><a name="l00519"></a><span class="lineno"> 519</span> <span class="comment"> * NULL in which all \f$ k \f$ centroids will be generated.</span></div> |
| <div class="line"><a name="l00520"></a><span class="lineno"> 520</span> <span class="comment"> * @returns A matrix containing \f$ k \f$ centroids as columns</span></div> |
| <div class="line"><a name="l00521"></a><span class="lineno"> 521</span> <span class="comment"> */</span></div> |
| <div class="line"><a name="l00522"></a><span class="lineno"> 522</span> CREATE FUNCTION MADLIB_SCHEMA.<a class="code" href="kmeans_8sql__in.html#af0d5172211c83d4de4d70a84555aa68e" title="k-Means++ Seeding ">kmeanspp_seeding</a>(</div> |
| <div class="line"><a name="l00523"></a><span class="lineno"> 523</span>  rel_source VARCHAR,</div> |
| <div class="line"><a name="l00524"></a><span class="lineno"> 524</span>  expr_point VARCHAR,</div> |
| <div class="line"><a name="l00525"></a><span class="lineno"> 525</span>  k INTEGER,</div> |
| <div class="line"><a name="l00526"></a><span class="lineno"> 526</span>  fn_dist VARCHAR <span class="comment">/*+ DEFAULT 'squared_dist_norm2' */</span>,</div> |
| <div class="line"><a name="l00527"></a><span class="lineno"> 527</span>  initial_centroids DOUBLE PRECISION[][] <span class="comment">/*+ DEFAULT NULL */</span></div> |
| <div class="line"><a name="l00528"></a><span class="lineno"> 528</span> ) RETURNS DOUBLE PRECISION[][] AS $$</div> |
| <div class="line"><a name="l00529"></a><span class="lineno"> 529</span> DECLARE</div> |
| <div class="line"><a name="l00530"></a><span class="lineno"> 530</span>  theIteration INTEGER;</div> |
| <div class="line"><a name="l00531"></a><span class="lineno"> 531</span>  theResult DOUBLE PRECISION[][];</div> |
| <div class="line"><a name="l00532"></a><span class="lineno"> 532</span>  oldClientMinMessages VARCHAR;</div> |
| <div class="line"><a name="l00533"></a><span class="lineno"> 533</span>  class_rel_source REGCLASS;</div> |
| <div class="line"><a name="l00534"></a><span class="lineno"> 534</span>  proc_fn_dist REGPROCEDURE;</div> |
| <div class="line"><a name="l00535"></a><span class="lineno"> 535</span>  num_points INTEGER;</div> |
| <div class="line"><a name="l00536"></a><span class="lineno"> 536</span>  num_centroids INTEGER;</div> |
| <div class="line"><a name="l00537"></a><span class="lineno"> 537</span>  rel_filtered VARCHAR;</div> |
| <div class="line"><a name="l00538"></a><span class="lineno"> 538</span> BEGIN</div> |
| <div class="line"><a name="l00539"></a><span class="lineno"> 539</span>  rel_filtered = MADLIB_SCHEMA.__filter_input_relation(rel_source, expr_point);</div> |
| <div class="line"><a name="l00540"></a><span class="lineno"> 540</span>  class_rel_source := rel_filtered;</div> |
| <div class="line"><a name="l00541"></a><span class="lineno"> 541</span> </div> |
| <div class="line"><a name="l00542"></a><span class="lineno"> 542</span>  IF (initial_centroids IS NOT NULL) THEN</div> |
| <div class="line"><a name="l00543"></a><span class="lineno"> 543</span>  num_centroids := array_upper(initial_centroids,1);</div> |
| <div class="line"><a name="l00544"></a><span class="lineno"><a class="code" href="kmeans_8sql__in.html#af0d5172211c83d4de4d70a84555aa68e"> 544</a></span>  ELSE</div> |
| <div class="line"><a name="l00545"></a><span class="lineno"> 545</span>  num_centroids := k;</div> |
| <div class="line"><a name="l00546"></a><span class="lineno"> 546</span>  END IF;</div> |
| <div class="line"><a name="l00547"></a><span class="lineno"> 547</span> </div> |
| <div class="line"><a name="l00548"></a><span class="lineno"> 548</span>  proc_fn_dist := fn_dist</div> |
| <div class="line"><a name="l00549"></a><span class="lineno"> 549</span>  || '(DOUBLE PRECISION[], DOUBLE PRECISION[])';</div> |
| <div class="line"><a name="l00550"></a><span class="lineno"> 550</span>  IF (SELECT prorettype != 'DOUBLE PRECISION'::regtype OR proisagg = TRUE</div> |
| <div class="line"><a name="l00551"></a><span class="lineno"> 551</span>  FROM pg_proc WHERE oid = proc_fn_dist) THEN</div> |
| <div class="line"><a name="l00552"></a><span class="lineno"> 552</span>  RAISE EXCEPTION 'Distance function has wrong signature or is not a simple function.';</div> |
| <div class="line"><a name="l00553"></a><span class="lineno"> 553</span>  END IF;</div> |
| <div class="line"><a name="l00554"></a><span class="lineno"> 554</span>  IF (k <= 0) THEN</div> |
| <div class="line"><a name="l00555"></a><span class="lineno"> 555</span>  RAISE EXCEPTION 'Number of clusters k must be a positive integer.';</div> |
| <div class="line"><a name="l00556"></a><span class="lineno"> 556</span>  END IF;</div> |
| <div class="line"><a name="l00557"></a><span class="lineno"> 557</span>  IF (k > 32767) THEN</div> |
| <div class="line"><a name="l00558"></a><span class="lineno"> 558</span>  RAISE EXCEPTION 'Number of clusters k must be <= 32767 (for results to be returned in a reasonable amount of time).';</div> |
| <div class="line"><a name="l00559"></a><span class="lineno"> 559</span>  END IF;</div> |
| <div class="line"><a name="l00560"></a><span class="lineno"> 560</span>  EXECUTE $sql$ SELECT count(*) FROM $sql$ || textin(regclassout(class_rel_source)) INTO num_points ;</div> |
| <div class="line"><a name="l00561"></a><span class="lineno"> 561</span>  IF (num_points < k OR num_points < num_centroids) THEN</div> |
| <div class="line"><a name="l00562"></a><span class="lineno"> 562</span>  RAISE EXCEPTION 'Number of centroids is greater than number of points.';</div> |
| <div class="line"><a name="l00563"></a><span class="lineno"> 563</span>  END IF;</div> |
| <div class="line"><a name="l00564"></a><span class="lineno"> 564</span>  IF (k < num_centroids) THEN</div> |
| <div class="line"><a name="l00565"></a><span class="lineno"> 565</span>  RAISE WARNING 'Number of clusters k is less than number of supplied initial centroids. Number of final clusters will equal number of supplied initial centroids.';</div> |
| <div class="line"><a name="l00566"></a><span class="lineno"> 566</span>  END IF;</div> |
| <div class="line"><a name="l00567"></a><span class="lineno"> 567</span> </div> |
| <div class="line"><a name="l00568"></a><span class="lineno"> 568</span>  -- We first setup the argument table. Rationale: We want to avoid all data</div> |
| <div class="line"><a name="l00569"></a><span class="lineno"> 569</span>  -- conversion between native types and Python code. Instead, we use Python</div> |
| <div class="line"><a name="l00570"></a><span class="lineno"> 570</span>  -- as a pure driver layer.</div> |
| <div class="line"><a name="l00571"></a><span class="lineno"> 571</span>  oldClientMinMessages :=</div> |
| <div class="line"><a name="l00572"></a><span class="lineno"> 572</span>  (SELECT setting FROM pg_settings WHERE name = 'client_min_messages');</div> |
| <div class="line"><a name="l00573"></a><span class="lineno"> 573</span>  EXECUTE 'SET client_min_messages TO warning';</div> |
| <div class="line"><a name="l00574"></a><span class="lineno"> 574</span>  PERFORM MADLIB_SCHEMA.create_schema_pg_temp();</div> |
| <div class="line"><a name="l00575"></a><span class="lineno"> 575</span>  -- Unfortunately, the EXECUTE USING syntax is only available starting</div> |
| <div class="line"><a name="l00576"></a><span class="lineno"> 576</span>  -- PostgreSQL 8.4:</div> |
| <div class="line"><a name="l00577"></a><span class="lineno"> 577</span>  -- http:<span class="comment">//www.postgresql.org/docs/8.4/static/plpgsql-statements.html#PLPGSQL-STATEMENTS-EXECUTING-DYN</span></div> |
| <div class="line"><a name="l00578"></a><span class="lineno"> 578</span>  -- We therefore have to emulate.</div> |
| <div class="line"><a name="l00579"></a><span class="lineno"> 579</span>  PERFORM MADLIB_SCHEMA.internal_execute_using_kmeanspp_seeding_args($sql$</div> |
| <div class="line"><a name="l00580"></a><span class="lineno"> 580</span>  DROP TABLE IF EXISTS pg_temp._madlib_kmeanspp_args;</div> |
| <div class="line"><a name="l00581"></a><span class="lineno"> 581</span>  CREATE TEMPORARY TABLE _madlib_kmeanspp_args AS</div> |
| <div class="line"><a name="l00582"></a><span class="lineno"> 582</span>  SELECT $1 AS k, $2 AS fn_dist, $3 AS initial_centroids;</div> |
| <div class="line"><a name="l00583"></a><span class="lineno"> 583</span>  $sql$,</div> |
| <div class="line"><a name="l00584"></a><span class="lineno"> 584</span>  k, proc_fn_dist, initial_centroids);</div> |
| <div class="line"><a name="l00585"></a><span class="lineno"> 585</span>  EXECUTE 'SET client_min_messages TO ' || oldClientMinMessages;</div> |
| <div class="line"><a name="l00586"></a><span class="lineno"> 586</span> </div> |
| <div class="line"><a name="l00587"></a><span class="lineno"> 587</span>  -- Perform acutal computation.</div> |
| <div class="line"><a name="l00588"></a><span class="lineno"> 588</span>  -- Unfortunately, Greenplum and PostgreSQL <= 8.2 do not have conversion</div> |
| <div class="line"><a name="l00589"></a><span class="lineno"> 589</span>  -- operators from regclass to varchar/text.</div> |
| <div class="line"><a name="l00590"></a><span class="lineno"> 590</span>  theIteration := (</div> |
| <div class="line"><a name="l00591"></a><span class="lineno"> 591</span>  SELECT MADLIB_SCHEMA.internal_compute_kmeanspp_seeding(</div> |
| <div class="line"><a name="l00592"></a><span class="lineno"> 592</span>  '_madlib_kmeanspp_args', '_madlib_kmeanspp_state',</div> |
| <div class="line"><a name="l00593"></a><span class="lineno"> 593</span>  textin(regclassout(class_rel_source)), expr_point)</div> |
| <div class="line"><a name="l00594"></a><span class="lineno"> 594</span>  );</div> |
| <div class="line"><a name="l00595"></a><span class="lineno"> 595</span> </div> |
| <div class="line"><a name="l00596"></a><span class="lineno"> 596</span>  -- Retrieve result from state table and return it</div> |
| <div class="line"><a name="l00597"></a><span class="lineno"> 597</span>  EXECUTE</div> |
| <div class="line"><a name="l00598"></a><span class="lineno"> 598</span>  $sql$</div> |
| <div class="line"><a name="l00599"></a><span class="lineno"> 599</span>  SELECT _state FROM _madlib_kmeanspp_state</div> |
| <div class="line"><a name="l00600"></a><span class="lineno"> 600</span>  WHERE _iteration = $sql$ || theIteration || $sql$</div> |
| <div class="line"><a name="l00601"></a><span class="lineno"> 601</span>  $sql$</div> |
| <div class="line"><a name="l00602"></a><span class="lineno"> 602</span>  INTO theResult;</div> |
| <div class="line"><a name="l00603"></a><span class="lineno"> 603</span>  RETURN theResult;</div> |
| <div class="line"><a name="l00604"></a><span class="lineno"> 604</span> END;</div> |
| <div class="line"><a name="l00605"></a><span class="lineno"> 605</span> $$ LANGUAGE plpgsql VOLATILE;</div> |
| <div class="line"><a name="l00606"></a><span class="lineno"> 606</span> </div> |
| <div class="line"><a name="l00607"></a><span class="lineno"> 607</span> CREATE FUNCTION MADLIB_SCHEMA.<a class="code" href="kmeans_8sql__in.html#af0d5172211c83d4de4d70a84555aa68e" title="k-Means++ Seeding ">kmeanspp_seeding</a>(</div> |
| <div class="line"><a name="l00608"></a><span class="lineno"> 608</span>  rel_source VARCHAR,</div> |
| <div class="line"><a name="l00609"></a><span class="lineno"> 609</span>  expr_point VARCHAR,</div> |
| <div class="line"><a name="l00610"></a><span class="lineno"> 610</span>  k INTEGER,</div> |
| <div class="line"><a name="l00611"></a><span class="lineno"> 611</span>  fn_dist VARCHAR</div> |
| <div class="line"><a name="l00612"></a><span class="lineno"> 612</span> ) RETURNS DOUBLE PRECISION[][]</div> |
| <div class="line"><a name="l00613"></a><span class="lineno"> 613</span> LANGUAGE sql AS $$</div> |
| <div class="line"><a name="l00614"></a><span class="lineno"> 614</span>  SELECT MADLIB_SCHEMA.<a class="code" href="kmeans_8sql__in.html#af0d5172211c83d4de4d70a84555aa68e" title="k-Means++ Seeding ">kmeanspp_seeding</a>($1, $2, $3, $4, NULL)</div> |
| <div class="line"><a name="l00615"></a><span class="lineno"> 615</span> $$;</div> |
| <div class="line"><a name="l00616"></a><span class="lineno"> 616</span> </div> |
| <div class="line"><a name="l00617"></a><span class="lineno"> 617</span> CREATE FUNCTION MADLIB_SCHEMA.kmeanspp_seeding(</div> |
| <div class="line"><a name="l00618"></a><span class="lineno"> 618</span>  rel_source VARCHAR,</div> |
| <div class="line"><a name="l00619"></a><span class="lineno"> 619</span>  expr_point VARCHAR,</div> |
| <div class="line"><a name="l00620"></a><span class="lineno"> 620</span>  k INTEGER</div> |
| <div class="line"><a name="l00621"></a><span class="lineno"> 621</span> ) RETURNS DOUBLE PRECISION[][]</div> |
| <div class="line"><a name="l00622"></a><span class="lineno"> 622</span> LANGUAGE sql AS $$</div> |
| <div class="line"><a name="l00623"></a><span class="lineno"> 623</span>  SELECT MADLIB_SCHEMA.kmeanspp_seeding($1, $2, $3,</div> |
| <div class="line"><a name="l00624"></a><span class="lineno"> 624</span>  'MADLIB_SCHEMA.squared_dist_norm2', NULL)</div> |
| <div class="line"><a name="l00625"></a><span class="lineno"> 625</span> $$;</div> |
| <div class="line"><a name="l00626"></a><span class="lineno"> 626</span> <span class="comment"></span></div> |
| <div class="line"><a name="l00627"></a><span class="lineno"> 627</span> <span class="comment">/**</span></div> |
| <div class="line"><a name="l00628"></a><span class="lineno"> 628</span> <span class="comment"> * @brief Run k-Means++.</span></div> |
| <div class="line"><a name="l00629"></a><span class="lineno"> 629</span> <span class="comment"> *</span></div> |
| <div class="line"><a name="l00630"></a><span class="lineno"> 630</span> <span class="comment"> * This is a shortcut for running k-means++. It is equivalent to</span></div> |
| <div class="line"><a name="l00631"></a><span class="lineno"> 631</span> <span class="comment"> * <pre>SELECT \ref kmeans(</span></div> |
| <div class="line"><a name="l00632"></a><span class="lineno"> 632</span> <span class="comment"> rel_source,</span></div> |
| <div class="line"><a name="l00633"></a><span class="lineno"> 633</span> <span class="comment"> expr_point,</span></div> |
| <div class="line"><a name="l00634"></a><span class="lineno"> 634</span> <span class="comment"> \ref kmeanspp_seeding(</span></div> |
| <div class="line"><a name="l00635"></a><span class="lineno"> 635</span> <span class="comment"> rel_source,</span></div> |
| <div class="line"><a name="l00636"></a><span class="lineno"> 636</span> <span class="comment"> expr_point,</span></div> |
| <div class="line"><a name="l00637"></a><span class="lineno"> 637</span> <span class="comment"> k,</span></div> |
| <div class="line"><a name="l00638"></a><span class="lineno"> 638</span> <span class="comment"> fn_dist</span></div> |
| <div class="line"><a name="l00639"></a><span class="lineno"> 639</span> <span class="comment"> ),</span></div> |
| <div class="line"><a name="l00640"></a><span class="lineno"> 640</span> <span class="comment"> fn_dist,</span></div> |
| <div class="line"><a name="l00641"></a><span class="lineno"> 641</span> <span class="comment"> agg_centroid,</span></div> |
| <div class="line"><a name="l00642"></a><span class="lineno"> 642</span> <span class="comment"> max_num_iterations,</span></div> |
| <div class="line"><a name="l00643"></a><span class="lineno"> 643</span> <span class="comment"> min_frac_reassigned</span></div> |
| <div class="line"><a name="l00644"></a><span class="lineno"> 644</span> <span class="comment">)</pre></span></div> |
| <div class="line"><a name="l00645"></a><span class="lineno"> 645</span> <span class="comment"> */</span></div> |
| <div class="line"><a name="l00646"></a><span class="lineno"> 646</span> CREATE FUNCTION MADLIB_SCHEMA.<a class="code" href="kmeans_8sql__in.html#ac6c26c8e6b4643acfa79a87bd3ab0fe4" title="Run k-Means++. ">kmeanspp</a>(</div> |
| <div class="line"><a name="l00647"></a><span class="lineno"> 647</span>  rel_source VARCHAR,</div> |
| <div class="line"><a name="l00648"></a><span class="lineno"> 648</span>  expr_point VARCHAR,</div> |
| <div class="line"><a name="l00649"></a><span class="lineno"> 649</span>  k INTEGER,</div> |
| <div class="line"><a name="l00650"></a><span class="lineno"> 650</span>  fn_dist VARCHAR <span class="comment">/*+ DEFAULT 'squared_dist_norm2' */</span>,</div> |
| <div class="line"><a name="l00651"></a><span class="lineno"> 651</span>  agg_centroid VARCHAR <span class="comment">/*+ DEFAULT 'avg' */</span>,</div> |
| <div class="line"><a name="l00652"></a><span class="lineno"> 652</span>  max_num_iterations INTEGER <span class="comment">/*+ DEFAULT 20 */</span>,</div> |
| <div class="line"><a name="l00653"></a><span class="lineno"> 653</span>  min_frac_reassigned DOUBLE PRECISION <span class="comment">/*+ DEFAULT 0.001 */</span></div> |
| <div class="line"><a name="l00654"></a><span class="lineno"> 654</span> ) RETURNS MADLIB_SCHEMA.kmeans_result</div> |
| <div class="line"><a name="l00655"></a><span class="lineno"> 655</span> VOLATILE</div> |
| <div class="line"><a name="l00656"></a><span class="lineno"> 656</span> STRICT</div> |
| <div class="line"><a name="l00657"></a><span class="lineno"> 657</span> LANGUAGE plpgsql</div> |
| <div class="line"><a name="l00658"></a><span class="lineno"> 658</span> AS $$</div> |
| <div class="line"><a name="l00659"></a><span class="lineno"> 659</span> DECLARE</div> |
| <div class="line"><a name="l00660"></a><span class="lineno"> 660</span>  ret MADLIB_SCHEMA.kmeans_result;</div> |
| <div class="line"><a name="l00661"></a><span class="lineno"> 661</span> BEGIN</div> |
| <div class="line"><a name="l00662"></a><span class="lineno"> 662</span>  ret = MADLIB_SCHEMA.kmeans(</div> |
| <div class="line"><a name="l00663"></a><span class="lineno"> 663</span>  $1, $2, MADLIB_SCHEMA.kmeanspp_seeding($1, $2, $3, $4),</div> |
| <div class="line"><a name="l00664"></a><span class="lineno"> 664</span>  $4, $5, $6, $7);</div> |
| <div class="line"><a name="l00665"></a><span class="lineno"> 665</span>  RETURN ret;</div> |
| <div class="line"><a name="l00666"></a><span class="lineno"> 666</span> END</div> |
| <div class="line"><a name="l00667"></a><span class="lineno"> 667</span> $$;</div> |
| <div class="line"><a name="l00668"></a><span class="lineno"><a class="code" href="kmeans_8sql__in.html#ac6c26c8e6b4643acfa79a87bd3ab0fe4"> 668</a></span> </div> |
| <div class="line"><a name="l00669"></a><span class="lineno"> 669</span> CREATE FUNCTION MADLIB_SCHEMA.<a class="code" href="kmeans_8sql__in.html#ac6c26c8e6b4643acfa79a87bd3ab0fe4" title="Run k-Means++. ">kmeanspp</a>(</div> |
| <div class="line"><a name="l00670"></a><span class="lineno"> 670</span>  rel_source VARCHAR,</div> |
| <div class="line"><a name="l00671"></a><span class="lineno"> 671</span>  expr_point VARCHAR,</div> |
| <div class="line"><a name="l00672"></a><span class="lineno"> 672</span>  k INTEGER,</div> |
| <div class="line"><a name="l00673"></a><span class="lineno"> 673</span>  fn_dist VARCHAR,</div> |
| <div class="line"><a name="l00674"></a><span class="lineno"> 674</span>  agg_centroid VARCHAR,</div> |
| <div class="line"><a name="l00675"></a><span class="lineno"> 675</span>  max_num_iterations INTEGER</div> |
| <div class="line"><a name="l00676"></a><span class="lineno"> 676</span> ) RETURNS MADLIB_SCHEMA.kmeans_result</div> |
| <div class="line"><a name="l00677"></a><span class="lineno"> 677</span> VOLATILE</div> |
| <div class="line"><a name="l00678"></a><span class="lineno"> 678</span> STRICT</div> |
| <div class="line"><a name="l00679"></a><span class="lineno"> 679</span> LANGUAGE plpgsql</div> |
| <div class="line"><a name="l00680"></a><span class="lineno"> 680</span> AS $$</div> |
| <div class="line"><a name="l00681"></a><span class="lineno"> 681</span> DECLARE</div> |
| <div class="line"><a name="l00682"></a><span class="lineno"> 682</span>  ret MADLIB_SCHEMA.kmeans_result;</div> |
| <div class="line"><a name="l00683"></a><span class="lineno"> 683</span> BEGIN</div> |
| <div class="line"><a name="l00684"></a><span class="lineno"> 684</span>  ret = MADLIB_SCHEMA.kmeans(</div> |
| <div class="line"><a name="l00685"></a><span class="lineno"> 685</span>  $1, $2, MADLIB_SCHEMA.kmeanspp_seeding($1, $2, $3, $4),</div> |
| <div class="line"><a name="l00686"></a><span class="lineno"> 686</span>  $4, $5, $6, 0.001);</div> |
| <div class="line"><a name="l00687"></a><span class="lineno"> 687</span>  RETURN ret;</div> |
| <div class="line"><a name="l00688"></a><span class="lineno"> 688</span> END</div> |
| <div class="line"><a name="l00689"></a><span class="lineno"> 689</span> $$;</div> |
| <div class="line"><a name="l00690"></a><span class="lineno"> 690</span> </div> |
| <div class="line"><a name="l00691"></a><span class="lineno"> 691</span> CREATE FUNCTION MADLIB_SCHEMA.<a class="code" href="kmeans_8sql__in.html#ac6c26c8e6b4643acfa79a87bd3ab0fe4" title="Run k-Means++. ">kmeanspp</a>(</div> |
| <div class="line"><a name="l00692"></a><span class="lineno"> 692</span>  rel_source VARCHAR,</div> |
| <div class="line"><a name="l00693"></a><span class="lineno"> 693</span>  expr_point VARCHAR,</div> |
| <div class="line"><a name="l00694"></a><span class="lineno"> 694</span>  k INTEGER,</div> |
| <div class="line"><a name="l00695"></a><span class="lineno"> 695</span>  fn_dist VARCHAR,</div> |
| <div class="line"><a name="l00696"></a><span class="lineno"> 696</span>  agg_centroid VARCHAR</div> |
| <div class="line"><a name="l00697"></a><span class="lineno"> 697</span> ) RETURNS MADLIB_SCHEMA.kmeans_result</div> |
| <div class="line"><a name="l00698"></a><span class="lineno"> 698</span> VOLATILE</div> |
| <div class="line"><a name="l00699"></a><span class="lineno"> 699</span> STRICT</div> |
| <div class="line"><a name="l00700"></a><span class="lineno"> 700</span> LANGUAGE plpgsql</div> |
| <div class="line"><a name="l00701"></a><span class="lineno"> 701</span> AS $$</div> |
| <div class="line"><a name="l00702"></a><span class="lineno"> 702</span> DECLARE</div> |
| <div class="line"><a name="l00703"></a><span class="lineno"> 703</span>  ret MADLIB_SCHEMA.kmeans_result;</div> |
| <div class="line"><a name="l00704"></a><span class="lineno"> 704</span> BEGIN</div> |
| <div class="line"><a name="l00705"></a><span class="lineno"> 705</span>  ret = MADLIB_SCHEMA.kmeans(</div> |
| <div class="line"><a name="l00706"></a><span class="lineno"> 706</span>  $1, $2, MADLIB_SCHEMA.kmeanspp_seeding($1, $2, $3, $4),</div> |
| <div class="line"><a name="l00707"></a><span class="lineno"> 707</span>  $4, $5, 20, 0.001);</div> |
| <div class="line"><a name="l00708"></a><span class="lineno"> 708</span>  RETURN ret;</div> |
| <div class="line"><a name="l00709"></a><span class="lineno"> 709</span> END</div> |
| <div class="line"><a name="l00710"></a><span class="lineno"> 710</span> $$;</div> |
| <div class="line"><a name="l00711"></a><span class="lineno"> 711</span> </div> |
| <div class="line"><a name="l00712"></a><span class="lineno"> 712</span> CREATE FUNCTION MADLIB_SCHEMA.<a class="code" href="kmeans_8sql__in.html#ac6c26c8e6b4643acfa79a87bd3ab0fe4" title="Run k-Means++. ">kmeanspp</a>(</div> |
| <div class="line"><a name="l00713"></a><span class="lineno"> 713</span>  rel_source VARCHAR,</div> |
| <div class="line"><a name="l00714"></a><span class="lineno"> 714</span>  expr_point VARCHAR,</div> |
| <div class="line"><a name="l00715"></a><span class="lineno"> 715</span>  k INTEGER,</div> |
| <div class="line"><a name="l00716"></a><span class="lineno"> 716</span>  fn_dist VARCHAR</div> |
| <div class="line"><a name="l00717"></a><span class="lineno"> 717</span> ) RETURNS MADLIB_SCHEMA.kmeans_result</div> |
| <div class="line"><a name="l00718"></a><span class="lineno"> 718</span> VOLATILE</div> |
| <div class="line"><a name="l00719"></a><span class="lineno"> 719</span> STRICT</div> |
| <div class="line"><a name="l00720"></a><span class="lineno"> 720</span> LANGUAGE plpgsql</div> |
| <div class="line"><a name="l00721"></a><span class="lineno"> 721</span> AS $$</div> |
| <div class="line"><a name="l00722"></a><span class="lineno"> 722</span> DECLARE</div> |
| <div class="line"><a name="l00723"></a><span class="lineno"> 723</span>  ret MADLIB_SCHEMA.kmeans_result;</div> |
| <div class="line"><a name="l00724"></a><span class="lineno"> 724</span> BEGIN</div> |
| <div class="line"><a name="l00725"></a><span class="lineno"> 725</span>  ret = MADLIB_SCHEMA.kmeans(</div> |
| <div class="line"><a name="l00726"></a><span class="lineno"> 726</span>  $1, $2, MADLIB_SCHEMA.kmeanspp_seeding($1, $2, $3, $4),</div> |
| <div class="line"><a name="l00727"></a><span class="lineno"> 727</span>  $4, 'MADLIB_SCHEMA.avg', 20, 0.001);</div> |
| <div class="line"><a name="l00728"></a><span class="lineno"> 728</span>  RETURN ret;</div> |
| <div class="line"><a name="l00729"></a><span class="lineno"> 729</span> END</div> |
| <div class="line"><a name="l00730"></a><span class="lineno"> 730</span> $$;</div> |
| <div class="line"><a name="l00731"></a><span class="lineno"> 731</span> </div> |
| <div class="line"><a name="l00732"></a><span class="lineno"> 732</span> CREATE FUNCTION MADLIB_SCHEMA.<a class="code" href="kmeans_8sql__in.html#ac6c26c8e6b4643acfa79a87bd3ab0fe4" title="Run k-Means++. ">kmeanspp</a>(</div> |
| <div class="line"><a name="l00733"></a><span class="lineno"> 733</span>  rel_source VARCHAR,</div> |
| <div class="line"><a name="l00734"></a><span class="lineno"> 734</span>  expr_point VARCHAR,</div> |
| <div class="line"><a name="l00735"></a><span class="lineno"> 735</span>  k INTEGER</div> |
| <div class="line"><a name="l00736"></a><span class="lineno"> 736</span> ) RETURNS MADLIB_SCHEMA.kmeans_result</div> |
| <div class="line"><a name="l00737"></a><span class="lineno"> 737</span> VOLATILE</div> |
| <div class="line"><a name="l00738"></a><span class="lineno"> 738</span> STRICT</div> |
| <div class="line"><a name="l00739"></a><span class="lineno"> 739</span> LANGUAGE plpgsql</div> |
| <div class="line"><a name="l00740"></a><span class="lineno"> 740</span> AS $$</div> |
| <div class="line"><a name="l00741"></a><span class="lineno"> 741</span> DECLARE</div> |
| <div class="line"><a name="l00742"></a><span class="lineno"> 742</span>  ret MADLIB_SCHEMA.kmeans_result;</div> |
| <div class="line"><a name="l00743"></a><span class="lineno"> 743</span> BEGIN</div> |
| <div class="line"><a name="l00744"></a><span class="lineno"> 744</span>  ret = MADLIB_SCHEMA.kmeans(</div> |
| <div class="line"><a name="l00745"></a><span class="lineno"> 745</span>  $1, $2,</div> |
| <div class="line"><a name="l00746"></a><span class="lineno"> 746</span>  MADLIB_SCHEMA.kmeanspp_seeding($1, $2, $3,</div> |
| <div class="line"><a name="l00747"></a><span class="lineno"> 747</span>  'MADLIB_SCHEMA.squared_dist_norm2'),</div> |
| <div class="line"><a name="l00748"></a><span class="lineno"> 748</span>  'MADLIB_SCHEMA.squared_dist_norm2', 'MADLIB_SCHEMA.avg', 20, 0.001);</div> |
| <div class="line"><a name="l00749"></a><span class="lineno"> 749</span>  RETURN ret;</div> |
| <div class="line"><a name="l00750"></a><span class="lineno"> 750</span> END</div> |
| <div class="line"><a name="l00751"></a><span class="lineno"> 751</span> $$;</div> |
| <div class="line"><a name="l00752"></a><span class="lineno"> 752</span> </div> |
| <div class="line"><a name="l00753"></a><span class="lineno"> 753</span> CREATE FUNCTION MADLIB_SCHEMA.internal_execute_using_kmeans_random_seeding_args(</div> |
| <div class="line"><a name="l00754"></a><span class="lineno"> 754</span>  sql VARCHAR, INTEGER, DOUBLE PRECISION[][]</div> |
| <div class="line"><a name="l00755"></a><span class="lineno"> 755</span> ) RETURNS VOID</div> |
| <div class="line"><a name="l00756"></a><span class="lineno"> 756</span> VOLATILE</div> |
| <div class="line"><a name="l00757"></a><span class="lineno"> 757</span> CALLED ON NULL INPUT</div> |
| <div class="line"><a name="l00758"></a><span class="lineno"> 758</span> LANGUAGE c</div> |
| <div class="line"><a name="l00759"></a><span class="lineno"> 759</span> AS 'MODULE_PATHNAME', 'exec_sql_using';</div> |
| <div class="line"><a name="l00760"></a><span class="lineno"> 760</span> </div> |
| <div class="line"><a name="l00761"></a><span class="lineno"> 761</span> CREATE FUNCTION MADLIB_SCHEMA.internal_compute_kmeans_random_seeding(</div> |
| <div class="line"><a name="l00762"></a><span class="lineno"> 762</span>  rel_args VARCHAR,</div> |
| <div class="line"><a name="l00763"></a><span class="lineno"> 763</span>  rel_state VARCHAR,</div> |
| <div class="line"><a name="l00764"></a><span class="lineno"> 764</span>  rel_source VARCHAR,</div> |
| <div class="line"><a name="l00765"></a><span class="lineno"> 765</span>  expr_point VARCHAR)</div> |
| <div class="line"><a name="l00766"></a><span class="lineno"> 766</span> RETURNS INTEGER</div> |
| <div class="line"><a name="l00767"></a><span class="lineno"> 767</span> AS $$PythonFunction(kmeans, kmeans, compute_kmeans_random_seeding)$$</div> |
| <div class="line"><a name="l00768"></a><span class="lineno"> 768</span> LANGUAGE plpythonu VOLATILE;</div> |
| <div class="line"><a name="l00769"></a><span class="lineno"> 769</span> <span class="comment"></span></div> |
| <div class="line"><a name="l00770"></a><span class="lineno"> 770</span> <span class="comment">/**</span></div> |
| <div class="line"><a name="l00771"></a><span class="lineno"> 771</span> <span class="comment"> * @brief k-Means Random Seeding</span></div> |
| <div class="line"><a name="l00772"></a><span class="lineno"> 772</span> <span class="comment"> *</span></div> |
| <div class="line"><a name="l00773"></a><span class="lineno"> 773</span> <span class="comment"> * @param rel_source Name of the relation containing input points</span></div> |
| <div class="line"><a name="l00774"></a><span class="lineno"> 774</span> <span class="comment"> * @param expr_point Expression evaluating to point coordinates for each tuple</span></div> |
| <div class="line"><a name="l00775"></a><span class="lineno"> 775</span> <span class="comment"> * @param k Number of centroids</span></div> |
| <div class="line"><a name="l00776"></a><span class="lineno"> 776</span> <span class="comment"> * @param initial_centroids A matrix containing up to \f$ k \f$ columns as</span></div> |
| <div class="line"><a name="l00777"></a><span class="lineno"> 777</span> <span class="comment"> * columns. kmeanspp_seeding() proceeds exactly as if these centroids had</span></div> |
| <div class="line"><a name="l00778"></a><span class="lineno"> 778</span> <span class="comment"> * already been generated in previous iterations. This parameter may be</span></div> |
| <div class="line"><a name="l00779"></a><span class="lineno"> 779</span> <span class="comment"> * NULL in which all \f$ k \f$ centroids will be generated.</span></div> |
| <div class="line"><a name="l00780"></a><span class="lineno"> 780</span> <span class="comment"> * @returns A matrix containing \f$ k \f$ centroids as columns</span></div> |
| <div class="line"><a name="l00781"></a><span class="lineno"> 781</span> <span class="comment"> */</span></div> |
| <div class="line"><a name="l00782"></a><span class="lineno"> 782</span> CREATE FUNCTION MADLIB_SCHEMA.<a class="code" href="kmeans_8sql__in.html#a01e02736e6d156240b15f7d6dae092c3" title="k-Means Random Seeding ">kmeans_random_seeding</a>(</div> |
| <div class="line"><a name="l00783"></a><span class="lineno"> 783</span>  rel_source VARCHAR,</div> |
| <div class="line"><a name="l00784"></a><span class="lineno"> 784</span>  expr_point VARCHAR,</div> |
| <div class="line"><a name="l00785"></a><span class="lineno"> 785</span>  k INTEGER,</div> |
| <div class="line"><a name="l00786"></a><span class="lineno"> 786</span>  initial_centroids DOUBLE PRECISION[][] <span class="comment">/*+ DEFAULT NULL */</span></div> |
| <div class="line"><a name="l00787"></a><span class="lineno"> 787</span> ) RETURNS DOUBLE PRECISION[][] AS $$</div> |
| <div class="line"><a name="l00788"></a><span class="lineno"> 788</span> DECLARE</div> |
| <div class="line"><a name="l00789"></a><span class="lineno"> 789</span>  theIteration INTEGER;</div> |
| <div class="line"><a name="l00790"></a><span class="lineno"> 790</span>  theResult DOUBLE PRECISION[][];</div> |
| <div class="line"><a name="l00791"></a><span class="lineno"> 791</span>  oldClientMinMessages VARCHAR;</div> |
| <div class="line"><a name="l00792"></a><span class="lineno"> 792</span>  class_rel_source REGCLASS;</div> |
| <div class="line"><a name="l00793"></a><span class="lineno"> 793</span>  proc_fn_dist REGPROCEDURE;</div> |
| <div class="line"><a name="l00794"></a><span class="lineno"> 794</span>  num_points INTEGER;</div> |
| <div class="line"><a name="l00795"></a><span class="lineno"> 795</span>  num_centroids INTEGER;</div> |
| <div class="line"><a name="l00796"></a><span class="lineno"> 796</span>  rel_filtered VARCHAR;</div> |
| <div class="line"><a name="l00797"></a><span class="lineno"> 797</span> BEGIN</div> |
| <div class="line"><a name="l00798"></a><span class="lineno"> 798</span>  rel_filtered = MADLIB_SCHEMA.__filter_input_relation(rel_source, expr_point);</div> |
| <div class="line"><a name="l00799"></a><span class="lineno"> 799</span>  class_rel_source := rel_filtered;</div> |
| <div class="line"><a name="l00800"></a><span class="lineno"> 800</span> </div> |
| <div class="line"><a name="l00801"></a><span class="lineno"> 801</span>  IF (initial_centroids IS NOT NULL) THEN</div> |
| <div class="line"><a name="l00802"></a><span class="lineno"> 802</span>  num_centroids := array_upper(initial_centroids,1);</div> |
| <div class="line"><a name="l00803"></a><span class="lineno"> 803</span>  ELSE</div> |
| <div class="line"><a name="l00804"></a><span class="lineno"><a class="code" href="kmeans_8sql__in.html#a01e02736e6d156240b15f7d6dae092c3"> 804</a></span>  num_centroids := k;</div> |
| <div class="line"><a name="l00805"></a><span class="lineno"> 805</span>  END IF;</div> |
| <div class="line"><a name="l00806"></a><span class="lineno"> 806</span> </div> |
| <div class="line"><a name="l00807"></a><span class="lineno"> 807</span>  IF (k <= 0) THEN</div> |
| <div class="line"><a name="l00808"></a><span class="lineno"> 808</span>  RAISE EXCEPTION 'Number of clusters k must be a positive integer.';</div> |
| <div class="line"><a name="l00809"></a><span class="lineno"> 809</span>  END IF;</div> |
| <div class="line"><a name="l00810"></a><span class="lineno"> 810</span>  IF (k > 32767) THEN</div> |
| <div class="line"><a name="l00811"></a><span class="lineno"> 811</span>  RAISE EXCEPTION 'Number of clusters k must be <= 32767 (for results to be returned in a reasonable amount of time).';</div> |
| <div class="line"><a name="l00812"></a><span class="lineno"> 812</span>  END IF;</div> |
| <div class="line"><a name="l00813"></a><span class="lineno"> 813</span>  EXECUTE $sql$ SELECT count(*) FROM $sql$ || textin(regclassout(class_rel_source)) INTO num_points;</div> |
| <div class="line"><a name="l00814"></a><span class="lineno"> 814</span>  IF (num_points < k OR num_points < num_centroids) THEN</div> |
| <div class="line"><a name="l00815"></a><span class="lineno"> 815</span>  RAISE EXCEPTION 'Number of centroids is greater than number of points.';</div> |
| <div class="line"><a name="l00816"></a><span class="lineno"> 816</span>  END IF;</div> |
| <div class="line"><a name="l00817"></a><span class="lineno"> 817</span>  IF (k < num_centroids) THEN</div> |
| <div class="line"><a name="l00818"></a><span class="lineno"> 818</span>  RAISE WARNING 'Number of clusters k is less than number of supplied initial centroids. Number of final clusters will equal number of supplied initial centroids.';</div> |
| <div class="line"><a name="l00819"></a><span class="lineno"> 819</span>  END IF;</div> |
| <div class="line"><a name="l00820"></a><span class="lineno"> 820</span> </div> |
| <div class="line"><a name="l00821"></a><span class="lineno"> 821</span>  -- We first setup the argument table. Rationale: We want to avoid all data</div> |
| <div class="line"><a name="l00822"></a><span class="lineno"> 822</span>  -- conversion between native types and Python code. Instead, we use Python</div> |
| <div class="line"><a name="l00823"></a><span class="lineno"> 823</span>  -- as a pure driver layer.</div> |
| <div class="line"><a name="l00824"></a><span class="lineno"> 824</span>  oldClientMinMessages :=</div> |
| <div class="line"><a name="l00825"></a><span class="lineno"> 825</span>  (SELECT setting FROM pg_settings WHERE name = 'client_min_messages');</div> |
| <div class="line"><a name="l00826"></a><span class="lineno"> 826</span>  EXECUTE 'SET client_min_messages TO warning';</div> |
| <div class="line"><a name="l00827"></a><span class="lineno"> 827</span>  PERFORM MADLIB_SCHEMA.create_schema_pg_temp();</div> |
| <div class="line"><a name="l00828"></a><span class="lineno"> 828</span>  -- Unfortunately, the EXECUTE USING syntax is only available starting</div> |
| <div class="line"><a name="l00829"></a><span class="lineno"> 829</span>  -- PostgreSQL 8.4:</div> |
| <div class="line"><a name="l00830"></a><span class="lineno"> 830</span>  -- http:<span class="comment">//www.postgresql.org/docs/8.4/static/plpgsql-statements.html#PLPGSQL-STATEMENTS-EXECUTING-DYN</span></div> |
| <div class="line"><a name="l00831"></a><span class="lineno"> 831</span>  -- We therefore have to emulate.</div> |
| <div class="line"><a name="l00832"></a><span class="lineno"> 832</span>  PERFORM MADLIB_SCHEMA.internal_execute_using_kmeans_random_seeding_args($sql$</div> |
| <div class="line"><a name="l00833"></a><span class="lineno"> 833</span>  DROP TABLE IF EXISTS pg_temp._madlib_kmeans_random_args;</div> |
| <div class="line"><a name="l00834"></a><span class="lineno"> 834</span>  CREATE TEMPORARY TABLE _madlib_kmeans_random_args AS</div> |
| <div class="line"><a name="l00835"></a><span class="lineno"> 835</span>  SELECT $1 AS k, $2 AS initial_centroids;</div> |
| <div class="line"><a name="l00836"></a><span class="lineno"> 836</span>  $sql$,</div> |
| <div class="line"><a name="l00837"></a><span class="lineno"> 837</span>  k, initial_centroids);</div> |
| <div class="line"><a name="l00838"></a><span class="lineno"> 838</span>  EXECUTE 'SET client_min_messages TO ' || oldClientMinMessages;</div> |
| <div class="line"><a name="l00839"></a><span class="lineno"> 839</span> </div> |
| <div class="line"><a name="l00840"></a><span class="lineno"> 840</span>  -- Perform acutal computation.</div> |
| <div class="line"><a name="l00841"></a><span class="lineno"> 841</span>  -- Unfortunately, Greenplum and PostgreSQL <= 8.2 do not have conversion</div> |
| <div class="line"><a name="l00842"></a><span class="lineno"> 842</span>  -- operators from regclass to varchar/text.</div> |
| <div class="line"><a name="l00843"></a><span class="lineno"> 843</span>  theIteration := (</div> |
| <div class="line"><a name="l00844"></a><span class="lineno"> 844</span>  SELECT MADLIB_SCHEMA.internal_compute_kmeans_random_seeding(</div> |
| <div class="line"><a name="l00845"></a><span class="lineno"> 845</span>  '_madlib_kmeans_random_args', '_madlib_kmeans_random_state',</div> |
| <div class="line"><a name="l00846"></a><span class="lineno"> 846</span>  textin(regclassout(class_rel_source)), expr_point)</div> |
| <div class="line"><a name="l00847"></a><span class="lineno"> 847</span>  );</div> |
| <div class="line"><a name="l00848"></a><span class="lineno"> 848</span> </div> |
| <div class="line"><a name="l00849"></a><span class="lineno"> 849</span>  -- Retrieve result from state table and return it</div> |
| <div class="line"><a name="l00850"></a><span class="lineno"> 850</span>  EXECUTE</div> |
| <div class="line"><a name="l00851"></a><span class="lineno"> 851</span>  $sql$</div> |
| <div class="line"><a name="l00852"></a><span class="lineno"> 852</span>  SELECT _state FROM _madlib_kmeans_random_state</div> |
| <div class="line"><a name="l00853"></a><span class="lineno"> 853</span>  WHERE _iteration = $sql$ || theIteration || $sql$</div> |
| <div class="line"><a name="l00854"></a><span class="lineno"> 854</span>  $sql$</div> |
| <div class="line"><a name="l00855"></a><span class="lineno"> 855</span>  INTO theResult;</div> |
| <div class="line"><a name="l00856"></a><span class="lineno"> 856</span>  RETURN theResult;</div> |
| <div class="line"><a name="l00857"></a><span class="lineno"> 857</span> END;</div> |
| <div class="line"><a name="l00858"></a><span class="lineno"> 858</span> $$ LANGUAGE plpgsql VOLATILE;</div> |
| <div class="line"><a name="l00859"></a><span class="lineno"> 859</span> </div> |
| <div class="line"><a name="l00860"></a><span class="lineno"> 860</span> CREATE FUNCTION MADLIB_SCHEMA.<a class="code" href="kmeans_8sql__in.html#a01e02736e6d156240b15f7d6dae092c3" title="k-Means Random Seeding ">kmeans_random_seeding</a>(</div> |
| <div class="line"><a name="l00861"></a><span class="lineno"> 861</span>  rel_source VARCHAR,</div> |
| <div class="line"><a name="l00862"></a><span class="lineno"> 862</span>  expr_point VARCHAR,</div> |
| <div class="line"><a name="l00863"></a><span class="lineno"> 863</span>  k INTEGER</div> |
| <div class="line"><a name="l00864"></a><span class="lineno"> 864</span> ) RETURNS DOUBLE PRECISION[][]</div> |
| <div class="line"><a name="l00865"></a><span class="lineno"> 865</span> LANGUAGE sql AS $$</div> |
| <div class="line"><a name="l00866"></a><span class="lineno"> 866</span>  SELECT MADLIB_SCHEMA.<a class="code" href="kmeans_8sql__in.html#a01e02736e6d156240b15f7d6dae092c3" title="k-Means Random Seeding ">kmeans_random_seeding</a>($1, $2, $3, NULL)</div> |
| <div class="line"><a name="l00867"></a><span class="lineno"> 867</span> $$;</div> |
| <div class="line"><a name="l00868"></a><span class="lineno"> 868</span> <span class="comment"></span></div> |
| <div class="line"><a name="l00869"></a><span class="lineno"> 869</span> <span class="comment">/**</span></div> |
| <div class="line"><a name="l00870"></a><span class="lineno"> 870</span> <span class="comment"> * @brief Run k-Means with random seeding.</span></div> |
| <div class="line"><a name="l00871"></a><span class="lineno"> 871</span> <span class="comment"> *</span></div> |
| <div class="line"><a name="l00872"></a><span class="lineno"> 872</span> <span class="comment"> * This is a shortcut for running k-means with random seeding. It is equivalent</span></div> |
| <div class="line"><a name="l00873"></a><span class="lineno"> 873</span> <span class="comment"> * to</span></div> |
| <div class="line"><a name="l00874"></a><span class="lineno"> 874</span> <span class="comment"> * <pre>SELECT \ref kmeans(</span></div> |
| <div class="line"><a name="l00875"></a><span class="lineno"> 875</span> <span class="comment"> rel_source,</span></div> |
| <div class="line"><a name="l00876"></a><span class="lineno"> 876</span> <span class="comment"> expr_point,</span></div> |
| <div class="line"><a name="l00877"></a><span class="lineno"> 877</span> <span class="comment"> \ref kmeans_random_seeding(</span></div> |
| <div class="line"><a name="l00878"></a><span class="lineno"> 878</span> <span class="comment"> rel_source,</span></div> |
| <div class="line"><a name="l00879"></a><span class="lineno"> 879</span> <span class="comment"> expr_point,</span></div> |
| <div class="line"><a name="l00880"></a><span class="lineno"> 880</span> <span class="comment"> k</span></div> |
| <div class="line"><a name="l00881"></a><span class="lineno"> 881</span> <span class="comment"> ),</span></div> |
| <div class="line"><a name="l00882"></a><span class="lineno"> 882</span> <span class="comment"> fn_dist,</span></div> |
| <div class="line"><a name="l00883"></a><span class="lineno"> 883</span> <span class="comment"> agg_centroid,</span></div> |
| <div class="line"><a name="l00884"></a><span class="lineno"> 884</span> <span class="comment"> max_num_iterations,</span></div> |
| <div class="line"><a name="l00885"></a><span class="lineno"> 885</span> <span class="comment"> min_frac_reassigned</span></div> |
| <div class="line"><a name="l00886"></a><span class="lineno"> 886</span> <span class="comment">)</pre></span></div> |
| <div class="line"><a name="l00887"></a><span class="lineno"> 887</span> <span class="comment"> */</span></div> |
| <div class="line"><a name="l00888"></a><span class="lineno"> 888</span> CREATE FUNCTION MADLIB_SCHEMA.<a class="code" href="kmeans_8sql__in.html#aeec5efd06aca50f4830aa10d522dc5ed" title="Run k-Means with random seeding. ">kmeans_random</a>(</div> |
| <div class="line"><a name="l00889"></a><span class="lineno"> 889</span>  rel_source VARCHAR,</div> |
| <div class="line"><a name="l00890"></a><span class="lineno"> 890</span>  expr_point VARCHAR,</div> |
| <div class="line"><a name="l00891"></a><span class="lineno"> 891</span>  k INTEGER,</div> |
| <div class="line"><a name="l00892"></a><span class="lineno"> 892</span>  fn_dist VARCHAR <span class="comment">/*+ DEFAULT 'squared_dist_norm2' */</span>,</div> |
| <div class="line"><a name="l00893"></a><span class="lineno"> 893</span>  agg_centroid VARCHAR <span class="comment">/*+ DEFAULT 'avg' */</span>,</div> |
| <div class="line"><a name="l00894"></a><span class="lineno"> 894</span>  max_num_iterations INTEGER <span class="comment">/*+ DEFAULT 20 */</span>,</div> |
| <div class="line"><a name="l00895"></a><span class="lineno"> 895</span>  min_frac_reassigned DOUBLE PRECISION <span class="comment">/*+ DEFAULT 0.001 */</span></div> |
| <div class="line"><a name="l00896"></a><span class="lineno"> 896</span> ) RETURNS MADLIB_SCHEMA.kmeans_result</div> |
| <div class="line"><a name="l00897"></a><span class="lineno"> 897</span> VOLATILE</div> |
| <div class="line"><a name="l00898"></a><span class="lineno"> 898</span> STRICT</div> |
| <div class="line"><a name="l00899"></a><span class="lineno"> 899</span> LANGUAGE plpgsql</div> |
| <div class="line"><a name="l00900"></a><span class="lineno"> 900</span> AS $$</div> |
| <div class="line"><a name="l00901"></a><span class="lineno"> 901</span> DECLARE</div> |
| <div class="line"><a name="l00902"></a><span class="lineno"> 902</span>  ret MADLIB_SCHEMA.kmeans_result;</div> |
| <div class="line"><a name="l00903"></a><span class="lineno"> 903</span> BEGIN</div> |
| <div class="line"><a name="l00904"></a><span class="lineno"> 904</span>  ret = MADLIB_SCHEMA.kmeans(</div> |
| <div class="line"><a name="l00905"></a><span class="lineno"> 905</span>  $1, $2, MADLIB_SCHEMA.kmeans_random_seeding($1, $2, $3),</div> |
| <div class="line"><a name="l00906"></a><span class="lineno"> 906</span>  $4, $5, $6, $7);</div> |
| <div class="line"><a name="l00907"></a><span class="lineno"> 907</span>  RETURN ret;</div> |
| <div class="line"><a name="l00908"></a><span class="lineno"> 908</span> END</div> |
| <div class="line"><a name="l00909"></a><span class="lineno"> 909</span> $$;</div> |
| <div class="line"><a name="l00910"></a><span class="lineno"><a class="code" href="kmeans_8sql__in.html#aeec5efd06aca50f4830aa10d522dc5ed"> 910</a></span> </div> |
| <div class="line"><a name="l00911"></a><span class="lineno"> 911</span> CREATE FUNCTION MADLIB_SCHEMA.<a class="code" href="kmeans_8sql__in.html#aeec5efd06aca50f4830aa10d522dc5ed" title="Run k-Means with random seeding. ">kmeans_random</a>(</div> |
| <div class="line"><a name="l00912"></a><span class="lineno"> 912</span>  rel_source VARCHAR,</div> |
| <div class="line"><a name="l00913"></a><span class="lineno"> 913</span>  expr_point VARCHAR,</div> |
| <div class="line"><a name="l00914"></a><span class="lineno"> 914</span>  k INTEGER,</div> |
| <div class="line"><a name="l00915"></a><span class="lineno"> 915</span>  fn_dist VARCHAR,</div> |
| <div class="line"><a name="l00916"></a><span class="lineno"> 916</span>  agg_centroid VARCHAR,</div> |
| <div class="line"><a name="l00917"></a><span class="lineno"> 917</span>  max_num_iterations INTEGER</div> |
| <div class="line"><a name="l00918"></a><span class="lineno"> 918</span> ) RETURNS MADLIB_SCHEMA.kmeans_result</div> |
| <div class="line"><a name="l00919"></a><span class="lineno"> 919</span> VOLATILE</div> |
| <div class="line"><a name="l00920"></a><span class="lineno"> 920</span> STRICT</div> |
| <div class="line"><a name="l00921"></a><span class="lineno"> 921</span> LANGUAGE plpgsql</div> |
| <div class="line"><a name="l00922"></a><span class="lineno"> 922</span> AS $$</div> |
| <div class="line"><a name="l00923"></a><span class="lineno"> 923</span> DECLARE</div> |
| <div class="line"><a name="l00924"></a><span class="lineno"> 924</span>  ret MADLIB_SCHEMA.kmeans_result;</div> |
| <div class="line"><a name="l00925"></a><span class="lineno"> 925</span> BEGIN</div> |
| <div class="line"><a name="l00926"></a><span class="lineno"> 926</span>  ret = MADLIB_SCHEMA.kmeans(</div> |
| <div class="line"><a name="l00927"></a><span class="lineno"> 927</span>  $1, $2, MADLIB_SCHEMA.kmeans_random_seeding($1, $2, $3),</div> |
| <div class="line"><a name="l00928"></a><span class="lineno"> 928</span>  $4, $5, $6, 0.001);</div> |
| <div class="line"><a name="l00929"></a><span class="lineno"> 929</span>  RETURN ret;</div> |
| <div class="line"><a name="l00930"></a><span class="lineno"> 930</span> END</div> |
| <div class="line"><a name="l00931"></a><span class="lineno"> 931</span> $$;</div> |
| <div class="line"><a name="l00932"></a><span class="lineno"> 932</span> </div> |
| <div class="line"><a name="l00933"></a><span class="lineno"> 933</span> CREATE FUNCTION MADLIB_SCHEMA.<a class="code" href="kmeans_8sql__in.html#aeec5efd06aca50f4830aa10d522dc5ed" title="Run k-Means with random seeding. ">kmeans_random</a>(</div> |
| <div class="line"><a name="l00934"></a><span class="lineno"> 934</span>  rel_source VARCHAR,</div> |
| <div class="line"><a name="l00935"></a><span class="lineno"> 935</span>  expr_point VARCHAR,</div> |
| <div class="line"><a name="l00936"></a><span class="lineno"> 936</span>  k INTEGER,</div> |
| <div class="line"><a name="l00937"></a><span class="lineno"> 937</span>  fn_dist VARCHAR,</div> |
| <div class="line"><a name="l00938"></a><span class="lineno"> 938</span>  agg_centroid VARCHAR</div> |
| <div class="line"><a name="l00939"></a><span class="lineno"> 939</span> ) RETURNS MADLIB_SCHEMA.kmeans_result</div> |
| <div class="line"><a name="l00940"></a><span class="lineno"> 940</span> VOLATILE</div> |
| <div class="line"><a name="l00941"></a><span class="lineno"> 941</span> STRICT</div> |
| <div class="line"><a name="l00942"></a><span class="lineno"> 942</span> LANGUAGE plpgsql</div> |
| <div class="line"><a name="l00943"></a><span class="lineno"> 943</span> AS $$</div> |
| <div class="line"><a name="l00944"></a><span class="lineno"> 944</span> DECLARE</div> |
| <div class="line"><a name="l00945"></a><span class="lineno"> 945</span>  ret MADLIB_SCHEMA.kmeans_result;</div> |
| <div class="line"><a name="l00946"></a><span class="lineno"> 946</span> BEGIN</div> |
| <div class="line"><a name="l00947"></a><span class="lineno"> 947</span>  ret = MADLIB_SCHEMA.kmeans(</div> |
| <div class="line"><a name="l00948"></a><span class="lineno"> 948</span>  $1, $2, MADLIB_SCHEMA.kmeans_random_seeding($1, $2, $3),</div> |
| <div class="line"><a name="l00949"></a><span class="lineno"> 949</span>  $4, $5, 20, 0.001);</div> |
| <div class="line"><a name="l00950"></a><span class="lineno"> 950</span>  RETURN ret;</div> |
| <div class="line"><a name="l00951"></a><span class="lineno"> 951</span> END</div> |
| <div class="line"><a name="l00952"></a><span class="lineno"> 952</span> $$;</div> |
| <div class="line"><a name="l00953"></a><span class="lineno"> 953</span> </div> |
| <div class="line"><a name="l00954"></a><span class="lineno"> 954</span> CREATE FUNCTION MADLIB_SCHEMA.<a class="code" href="kmeans_8sql__in.html#aeec5efd06aca50f4830aa10d522dc5ed" title="Run k-Means with random seeding. ">kmeans_random</a>(</div> |
| <div class="line"><a name="l00955"></a><span class="lineno"> 955</span>  rel_source VARCHAR,</div> |
| <div class="line"><a name="l00956"></a><span class="lineno"> 956</span>  expr_point VARCHAR,</div> |
| <div class="line"><a name="l00957"></a><span class="lineno"> 957</span>  k INTEGER,</div> |
| <div class="line"><a name="l00958"></a><span class="lineno"> 958</span>  fn_dist VARCHAR</div> |
| <div class="line"><a name="l00959"></a><span class="lineno"> 959</span> ) RETURNS MADLIB_SCHEMA.kmeans_result</div> |
| <div class="line"><a name="l00960"></a><span class="lineno"> 960</span> VOLATILE</div> |
| <div class="line"><a name="l00961"></a><span class="lineno"> 961</span> STRICT</div> |
| <div class="line"><a name="l00962"></a><span class="lineno"> 962</span> LANGUAGE plpgsql</div> |
| <div class="line"><a name="l00963"></a><span class="lineno"> 963</span> AS $$</div> |
| <div class="line"><a name="l00964"></a><span class="lineno"> 964</span> DECLARE</div> |
| <div class="line"><a name="l00965"></a><span class="lineno"> 965</span>  ret MADLIB_SCHEMA.kmeans_result;</div> |
| <div class="line"><a name="l00966"></a><span class="lineno"> 966</span> BEGIN</div> |
| <div class="line"><a name="l00967"></a><span class="lineno"> 967</span>  ret = MADLIB_SCHEMA.kmeans(</div> |
| <div class="line"><a name="l00968"></a><span class="lineno"> 968</span>  $1, $2,</div> |
| <div class="line"><a name="l00969"></a><span class="lineno"> 969</span>  MADLIB_SCHEMA.kmeans_random_seeding($1, $2, $3),</div> |
| <div class="line"><a name="l00970"></a><span class="lineno"> 970</span>  $4, 'MADLIB_SCHEMA.avg', 20, 0.001);</div> |
| <div class="line"><a name="l00971"></a><span class="lineno"> 971</span>  RETURN ret;</div> |
| <div class="line"><a name="l00972"></a><span class="lineno"> 972</span> END</div> |
| <div class="line"><a name="l00973"></a><span class="lineno"> 973</span> $$;</div> |
| <div class="line"><a name="l00974"></a><span class="lineno"> 974</span> </div> |
| <div class="line"><a name="l00975"></a><span class="lineno"> 975</span> CREATE FUNCTION MADLIB_SCHEMA.<a class="code" href="kmeans_8sql__in.html#aeec5efd06aca50f4830aa10d522dc5ed" title="Run k-Means with random seeding. ">kmeans_random</a>(</div> |
| <div class="line"><a name="l00976"></a><span class="lineno"> 976</span>  rel_source VARCHAR,</div> |
| <div class="line"><a name="l00977"></a><span class="lineno"> 977</span>  expr_point VARCHAR,</div> |
| <div class="line"><a name="l00978"></a><span class="lineno"> 978</span>  k INTEGER</div> |
| <div class="line"><a name="l00979"></a><span class="lineno"> 979</span> ) RETURNS MADLIB_SCHEMA.kmeans_result</div> |
| <div class="line"><a name="l00980"></a><span class="lineno"> 980</span> VOLATILE</div> |
| <div class="line"><a name="l00981"></a><span class="lineno"> 981</span> STRICT</div> |
| <div class="line"><a name="l00982"></a><span class="lineno"> 982</span> LANGUAGE plpgsql</div> |
| <div class="line"><a name="l00983"></a><span class="lineno"> 983</span> AS $$</div> |
| <div class="line"><a name="l00984"></a><span class="lineno"> 984</span> DECLARE</div> |
| <div class="line"><a name="l00985"></a><span class="lineno"> 985</span>  ret MADLIB_SCHEMA.kmeans_result;</div> |
| <div class="line"><a name="l00986"></a><span class="lineno"> 986</span> BEGIN</div> |
| <div class="line"><a name="l00987"></a><span class="lineno"> 987</span>  ret = MADLIB_SCHEMA.kmeans(</div> |
| <div class="line"><a name="l00988"></a><span class="lineno"> 988</span>  $1, $2,</div> |
| <div class="line"><a name="l00989"></a><span class="lineno"> 989</span>  MADLIB_SCHEMA.kmeans_random_seeding($1, $2, $3),</div> |
| <div class="line"><a name="l00990"></a><span class="lineno"> 990</span>  'MADLIB_SCHEMA.squared_dist_norm2', 'MADLIB_SCHEMA.avg', 20, 0.001);</div> |
| <div class="line"><a name="l00991"></a><span class="lineno"> 991</span>  RETURN ret;</div> |
| <div class="line"><a name="l00992"></a><span class="lineno"> 992</span> END</div> |
| <div class="line"><a name="l00993"></a><span class="lineno"> 993</span> $$;</div> |
| <div class="line"><a name="l00994"></a><span class="lineno"> 994</span> <span class="comment"></span></div> |
| <div class="line"><a name="l00995"></a><span class="lineno"> 995</span> <span class="comment">/**</span></div> |
| <div class="line"><a name="l00996"></a><span class="lineno"> 996</span> <span class="comment"> * @internal</span></div> |
| <div class="line"><a name="l00997"></a><span class="lineno"> 997</span> <span class="comment"> * @brief Execute a SQL command where $1, ..., $6 are substituted with the</span></div> |
| <div class="line"><a name="l00998"></a><span class="lineno"> 998</span> <span class="comment"> * given arguments.</span></div> |
| <div class="line"><a name="l00999"></a><span class="lineno"> 999</span> <span class="comment"> */</span></div> |
| <div class="line"><a name="l01000"></a><span class="lineno"> 1000</span> CREATE FUNCTION MADLIB_SCHEMA.internal_execute_using_kmeans_args(</div> |
| <div class="line"><a name="l01001"></a><span class="lineno"> 1001</span>  sql VARCHAR, rel_source VARCHAR, expr_point VARCHAR,</div> |
| <div class="line"><a name="l01002"></a><span class="lineno"> 1002</span>  fn_dist VARCHAR, agg_centroid VARCHAR, max_num_iterations INTEGER,</div> |
| <div class="line"><a name="l01003"></a><span class="lineno"> 1003</span>  min_frac_reassigned DOUBLE PRECISION</div> |
| <div class="line"><a name="l01004"></a><span class="lineno"> 1004</span> ) RETURNS MADLIB_SCHEMA.kmeans_result</div> |
| <div class="line"><a name="l01005"></a><span class="lineno"> 1005</span> VOLATILE</div> |
| <div class="line"><a name="l01006"></a><span class="lineno"> 1006</span> CALLED ON NULL INPUT</div> |
| <div class="line"><a name="l01007"></a><span class="lineno"> 1007</span> LANGUAGE c</div> |
| <div class="line"><a name="l01008"></a><span class="lineno"> 1008</span> AS 'MODULE_PATHNAME', 'exec_sql_using';</div> |
| <div class="line"><a name="l01009"></a><span class="lineno"> 1009</span> <span class="comment"></span></div> |
| <div class="line"><a name="l01010"></a><span class="lineno"> 1010</span> <span class="comment">/**</span></div> |
| <div class="line"><a name="l01011"></a><span class="lineno"> 1011</span> <span class="comment"> * @internal</span></div> |
| <div class="line"><a name="l01012"></a><span class="lineno"> 1012</span> <span class="comment"> * @brief Filter out the invalid data points in the original input relation</span></div> |
| <div class="line"><a name="l01013"></a><span class="lineno"> 1013</span> <span class="comment"> */</span></div> |
| <div class="line"><a name="l01014"></a><span class="lineno"> 1014</span> CREATE FUNCTION MADLIB_SCHEMA.__filter_input_relation(</div> |
| <div class="line"><a name="l01015"></a><span class="lineno"> 1015</span>  rel_source VARCHAR, expr_point VARCHAR)</div> |
| <div class="line"><a name="l01016"></a><span class="lineno"> 1016</span> RETURNS VARCHAR</div> |
| <div class="line"><a name="l01017"></a><span class="lineno"> 1017</span> AS $$</div> |
| <div class="line"><a name="l01018"></a><span class="lineno"> 1018</span> DECLARE</div> |
| <div class="line"><a name="l01019"></a><span class="lineno"> 1019</span>  oldClientMinMessages VARCHAR;</div> |
| <div class="line"><a name="l01020"></a><span class="lineno"> 1020</span>  rel_source_filtered VARCHAR;</div> |
| <div class="line"><a name="l01021"></a><span class="lineno"> 1021</span> BEGIN</div> |
| <div class="line"><a name="l01022"></a><span class="lineno"> 1022</span>  IF (SELECT position('.' in rel_source)) > 0 THEN</div> |
| <div class="line"><a name="l01023"></a><span class="lineno"> 1023</span>  rel_source_filtered := '_madlib_' || split_part(rel_source, '.', 2) || '_filtered';</div> |
| <div class="line"><a name="l01024"></a><span class="lineno"> 1024</span>  ELSE</div> |
| <div class="line"><a name="l01025"></a><span class="lineno"> 1025</span>  rel_source_filtered := '_madlib_' || rel_source || '_filtered';</div> |
| <div class="line"><a name="l01026"></a><span class="lineno"> 1026</span>  END IF;</div> |
| <div class="line"><a name="l01027"></a><span class="lineno"> 1027</span> </div> |
| <div class="line"><a name="l01028"></a><span class="lineno"> 1028</span>  oldClientMinMessages :=</div> |
| <div class="line"><a name="l01029"></a><span class="lineno"> 1029</span>  (SELECT setting FROM pg_settings WHERE name = 'client_min_messages');</div> |
| <div class="line"><a name="l01030"></a><span class="lineno"> 1030</span>  EXECUTE 'SET client_min_messages TO warning';</div> |
| <div class="line"><a name="l01031"></a><span class="lineno"> 1031</span>  EXECUTE 'DROP VIEW IF EXISTS _madlib_'||rel_source_filtered||'_filtered';</div> |
| <div class="line"><a name="l01032"></a><span class="lineno"> 1032</span>  EXECUTE 'DROP VIEW IF EXISTS '||rel_source_filtered;</div> |
| <div class="line"><a name="l01033"></a><span class="lineno"> 1033</span>  EXECUTE 'CREATE TEMP VIEW '||rel_source_filtered||'</div> |
| <div class="line"><a name="l01034"></a><span class="lineno"> 1034</span>  AS SELECT * FROM '||rel_source||'</div> |
| <div class="line"><a name="l01035"></a><span class="lineno"> 1035</span>  WHERE abs(</div> |
| <div class="line"><a name="l01036"></a><span class="lineno"> 1036</span>  coalesce(</div> |
| <div class="line"><a name="l01037"></a><span class="lineno"> 1037</span>  MADLIB_SCHEMA.<a class="code" href="svec_8sql__in.html#a00a7b3260b9fde9b55061e6bf58a028a">svec_elsum</a>('||expr_point||'),</div> |
| <div class="line"><a name="l01038"></a><span class="lineno"> 1038</span>  ''Infinity''::FLOAT8</div> |
| <div class="line"><a name="l01039"></a><span class="lineno"> 1039</span>  )</div> |
| <div class="line"><a name="l01040"></a><span class="lineno"> 1040</span>  ) < ''Infinity''::FLOAT8';</div> |
| <div class="line"><a name="l01041"></a><span class="lineno"> 1041</span>  EXECUTE 'SET client_min_messages TO ' || oldClientMinMessages;</div> |
| <div class="line"><a name="l01042"></a><span class="lineno"> 1042</span>  RETURN rel_source_filtered;</div> |
| <div class="line"><a name="l01043"></a><span class="lineno"> 1043</span>  EXCEPTION</div> |
| <div class="line"><a name="l01044"></a><span class="lineno"> 1044</span>  WHEN undefined_function THEN</div> |
| <div class="line"><a name="l01045"></a><span class="lineno"> 1045</span>  RAISE EXCEPTION 'Point coordinates (%) are not a valid type</div> |
| <div class="line"><a name="l01046"></a><span class="lineno"> 1046</span>  (SVEC, FLOAT[], or INTEGER[]).', expr_point;</div> |
| <div class="line"><a name="l01047"></a><span class="lineno"> 1047</span> END</div> |
| <div class="line"><a name="l01048"></a><span class="lineno"> 1048</span> $$</div> |
| <div class="line"><a name="l01049"></a><span class="lineno"> 1049</span> VOLATILE STRICT</div> |
| <div class="line"><a name="l01050"></a><span class="lineno"> 1050</span> LANGUAGE PLPGSQL;</div> |
| <div class="line"><a name="l01051"></a><span class="lineno"> 1051</span> <span class="comment"></span></div> |
| <div class="line"><a name="l01052"></a><span class="lineno"> 1052</span> <span class="comment">/**</span></div> |
| <div class="line"><a name="l01053"></a><span class="lineno"> 1053</span> <span class="comment"> * @brief Perform Lloyd's k-means local-search heuristic, but with initial</span></div> |
| <div class="line"><a name="l01054"></a><span class="lineno"> 1054</span> <span class="comment"> * centroids stored in a table</span></div> |
| <div class="line"><a name="l01055"></a><span class="lineno"> 1055</span> <span class="comment"> *</span></div> |
| <div class="line"><a name="l01056"></a><span class="lineno"> 1056</span> <span class="comment"> * This is a shortcut for running k-means with initial centroids stored in a</span></div> |
| <div class="line"><a name="l01057"></a><span class="lineno"> 1057</span> <span class="comment"> * table (as opposed to an array of centroids). It is equivalent</span></div> |
| <div class="line"><a name="l01058"></a><span class="lineno"> 1058</span> <span class="comment"> * to</span></div> |
| <div class="line"><a name="l01059"></a><span class="lineno"> 1059</span> <span class="comment"> * <pre>SELECT \ref kmeans(</span></div> |
| <div class="line"><a name="l01060"></a><span class="lineno"> 1060</span> <span class="comment"> rel_source,</span></div> |
| <div class="line"><a name="l01061"></a><span class="lineno"> 1061</span> <span class="comment"> expr_point,</span></div> |
| <div class="line"><a name="l01062"></a><span class="lineno"> 1062</span> <span class="comment"> (SELECT \ref matrix_agg($expr_centroid) FROM $rel_initial_centroids),</span></div> |
| <div class="line"><a name="l01063"></a><span class="lineno"> 1063</span> <span class="comment"> fn_dist,</span></div> |
| <div class="line"><a name="l01064"></a><span class="lineno"> 1064</span> <span class="comment"> agg_centroid,</span></div> |
| <div class="line"><a name="l01065"></a><span class="lineno"> 1065</span> <span class="comment"> max_num_iterations,</span></div> |
| <div class="line"><a name="l01066"></a><span class="lineno"> 1066</span> <span class="comment"> min_frac_reassigned</span></div> |
| <div class="line"><a name="l01067"></a><span class="lineno"> 1067</span> <span class="comment">)</pre></span></div> |
| <div class="line"><a name="l01068"></a><span class="lineno"> 1068</span> <span class="comment"> * where <tt>$expr_centroid</tt> and <tt>$rel_initial_centroids</tt> denote</span></div> |
| <div class="line"><a name="l01069"></a><span class="lineno"> 1069</span> <span class="comment"> * textual substituions.</span></div> |
| <div class="line"><a name="l01070"></a><span class="lineno"> 1070</span> <span class="comment"> */</span></div> |
| <div class="line"><a name="l01071"></a><span class="lineno"> 1071</span> CREATE FUNCTION MADLIB_SCHEMA.kmeans(</div> |
| <div class="line"><a name="l01072"></a><span class="lineno"> 1072</span>  rel_source VARCHAR,</div> |
| <div class="line"><a name="l01073"></a><span class="lineno"> 1073</span>  expr_point VARCHAR,</div> |
| <div class="line"><a name="l01074"></a><span class="lineno"> 1074</span>  rel_initial_centroids VARCHAR,</div> |
| <div class="line"><a name="l01075"></a><span class="lineno"> 1075</span>  expr_centroid VARCHAR,</div> |
| <div class="line"><a name="l01076"></a><span class="lineno"> 1076</span>  fn_dist VARCHAR <span class="comment">/*+ DEFAULT 'squared_dist_norm2' */</span>,</div> |
| <div class="line"><a name="l01077"></a><span class="lineno"> 1077</span>  agg_centroid VARCHAR <span class="comment">/*+ DEFAULT 'avg' */</span>,</div> |
| <div class="line"><a name="l01078"></a><span class="lineno"> 1078</span>  max_num_iterations INTEGER <span class="comment">/*+ DEFAULT 20 */</span>,</div> |
| <div class="line"><a name="l01079"></a><span class="lineno"> 1079</span>  min_frac_reassigned DOUBLE PRECISION <span class="comment">/*+ DEFAULT 0.001 */</span></div> |
| <div class="line"><a name="l01080"></a><span class="lineno"> 1080</span> ) RETURNS MADLIB_SCHEMA.kmeans_result</div> |
| <div class="line"><a name="l01081"></a><span class="lineno"> 1081</span> VOLATILE</div> |
| <div class="line"><a name="l01082"></a><span class="lineno"> 1082</span> STRICT</div> |
| <div class="line"><a name="l01083"></a><span class="lineno"> 1083</span> LANGUAGE plpgsql</div> |
| <div class="line"><a name="l01084"></a><span class="lineno"> 1084</span> AS $$</div> |
| <div class="line"><a name="l01085"></a><span class="lineno"> 1085</span> DECLARE</div> |
| <div class="line"><a name="l01086"></a><span class="lineno"> 1086</span>  class_rel_initial_centroids REGCLASS;</div> |
| <div class="line"><a name="l01087"></a><span class="lineno"> 1087</span>  theResult MADLIB_SCHEMA.kmeans_result;</div> |
| <div class="line"><a name="l01088"></a><span class="lineno"> 1088</span> BEGIN</div> |
| <div class="line"><a name="l01089"></a><span class="lineno"> 1089</span>  class_rel_initial_centroids := rel_initial_centroids;</div> |
| <div class="line"><a name="l01090"></a><span class="lineno"> 1090</span>  SELECT * FROM MADLIB_SCHEMA.internal_execute_using_kmeans_args($sql$</div> |
| <div class="line"><a name="l01091"></a><span class="lineno"> 1091</span>  SELECT MADLIB_SCHEMA.kmeans(</div> |
| <div class="line"><a name="l01092"></a><span class="lineno"> 1092</span>  $1, $2,</div> |
| <div class="line"><a name="l01093"></a><span class="lineno"><a class="code" href="kmeans_8sql__in.html#a6e1a47f006bc0576f56eabcd6903086f"> 1093</a></span>  (</div> |
| <div class="line"><a name="l01094"></a><span class="lineno"> 1094</span>  SELECT MADLIB_SCHEMA.<a class="code" href="linalg_8sql__in.html#a9c439706f35d6cac89f151d553a5f111" title="Combine vectors to a matrix. ">matrix_agg</a>(($sql$ || expr_centroid || $sql$)::FLOAT8[])</div> |
| <div class="line"><a name="l01095"></a><span class="lineno"> 1095</span>  FROM $sql$ || textin(regclassout(class_rel_initial_centroids))</div> |
| <div class="line"><a name="l01096"></a><span class="lineno"> 1096</span>  || $sql$</div> |
| <div class="line"><a name="l01097"></a><span class="lineno"> 1097</span>  ),</div> |
| <div class="line"><a name="l01098"></a><span class="lineno"> 1098</span>  $3, $4, $5, $6)</div> |
| <div class="line"><a name="l01099"></a><span class="lineno"> 1099</span>  $sql$,</div> |
| <div class="line"><a name="l01100"></a><span class="lineno"> 1100</span>  rel_source, expr_point,</div> |
| <div class="line"><a name="l01101"></a><span class="lineno"> 1101</span>  fn_dist, agg_centroid, max_num_iterations, min_frac_reassigned)</div> |
| <div class="line"><a name="l01102"></a><span class="lineno"> 1102</span>  INTO theResult;</div> |
| <div class="line"><a name="l01103"></a><span class="lineno"> 1103</span>  RETURN theResult;</div> |
| <div class="line"><a name="l01104"></a><span class="lineno"> 1104</span> END;</div> |
| <div class="line"><a name="l01105"></a><span class="lineno"> 1105</span> $$;</div> |
| <div class="line"><a name="l01106"></a><span class="lineno"> 1106</span> </div> |
| <div class="line"><a name="l01107"></a><span class="lineno"> 1107</span> CREATE FUNCTION MADLIB_SCHEMA.kmeans(</div> |
| <div class="line"><a name="l01108"></a><span class="lineno"> 1108</span>  rel_source VARCHAR,</div> |
| <div class="line"><a name="l01109"></a><span class="lineno"> 1109</span>  expr_point VARCHAR,</div> |
| <div class="line"><a name="l01110"></a><span class="lineno"> 1110</span>  rel_initial_centroids VARCHAR,</div> |
| <div class="line"><a name="l01111"></a><span class="lineno"> 1111</span>  expr_centroid VARCHAR,</div> |
| <div class="line"><a name="l01112"></a><span class="lineno"> 1112</span>  fn_dist VARCHAR,</div> |
| <div class="line"><a name="l01113"></a><span class="lineno"> 1113</span>  agg_centroid VARCHAR,</div> |
| <div class="line"><a name="l01114"></a><span class="lineno"> 1114</span>  max_num_iterations INTEGER</div> |
| <div class="line"><a name="l01115"></a><span class="lineno"> 1115</span> ) RETURNS MADLIB_SCHEMA.kmeans_result</div> |
| <div class="line"><a name="l01116"></a><span class="lineno"> 1116</span> VOLATILE</div> |
| <div class="line"><a name="l01117"></a><span class="lineno"> 1117</span> STRICT</div> |
| <div class="line"><a name="l01118"></a><span class="lineno"> 1118</span> LANGUAGE sql AS $$</div> |
| <div class="line"><a name="l01119"></a><span class="lineno"> 1119</span>  SELECT MADLIB_SCHEMA.kmeans(</div> |
| <div class="line"><a name="l01120"></a><span class="lineno"> 1120</span>  $1, $2,</div> |
| <div class="line"><a name="l01121"></a><span class="lineno"> 1121</span>  $3, $4, $5, $6, $7, 0.001)</div> |
| <div class="line"><a name="l01122"></a><span class="lineno"> 1122</span> $$;</div> |
| <div class="line"><a name="l01123"></a><span class="lineno"> 1123</span> </div> |
| <div class="line"><a name="l01124"></a><span class="lineno"> 1124</span> CREATE FUNCTION MADLIB_SCHEMA.kmeans(</div> |
| <div class="line"><a name="l01125"></a><span class="lineno"> 1125</span>  rel_source VARCHAR,</div> |
| <div class="line"><a name="l01126"></a><span class="lineno"> 1126</span>  expr_point VARCHAR,</div> |
| <div class="line"><a name="l01127"></a><span class="lineno"> 1127</span>  rel_initial_centroids VARCHAR,</div> |
| <div class="line"><a name="l01128"></a><span class="lineno"> 1128</span>  expr_centroid VARCHAR,</div> |
| <div class="line"><a name="l01129"></a><span class="lineno"> 1129</span>  fn_dist VARCHAR,</div> |
| <div class="line"><a name="l01130"></a><span class="lineno"> 1130</span>  agg_centroid VARCHAR</div> |
| <div class="line"><a name="l01131"></a><span class="lineno"> 1131</span> ) RETURNS MADLIB_SCHEMA.kmeans_result</div> |
| <div class="line"><a name="l01132"></a><span class="lineno"> 1132</span> VOLATILE</div> |
| <div class="line"><a name="l01133"></a><span class="lineno"> 1133</span> STRICT</div> |
| <div class="line"><a name="l01134"></a><span class="lineno"> 1134</span> LANGUAGE sql AS $$</div> |
| <div class="line"><a name="l01135"></a><span class="lineno"> 1135</span>  SELECT MADLIB_SCHEMA.kmeans(</div> |
| <div class="line"><a name="l01136"></a><span class="lineno"> 1136</span>  $1, $2,</div> |
| <div class="line"><a name="l01137"></a><span class="lineno"> 1137</span>  $3, $4, $5, $6, 20, 0.001)</div> |
| <div class="line"><a name="l01138"></a><span class="lineno"> 1138</span> $$;</div> |
| <div class="line"><a name="l01139"></a><span class="lineno"> 1139</span> </div> |
| <div class="line"><a name="l01140"></a><span class="lineno"> 1140</span> CREATE FUNCTION MADLIB_SCHEMA.kmeans(</div> |
| <div class="line"><a name="l01141"></a><span class="lineno"> 1141</span>  rel_source VARCHAR,</div> |
| <div class="line"><a name="l01142"></a><span class="lineno"> 1142</span>  expr_point VARCHAR,</div> |
| <div class="line"><a name="l01143"></a><span class="lineno"> 1143</span>  rel_initial_centroids VARCHAR,</div> |
| <div class="line"><a name="l01144"></a><span class="lineno"> 1144</span>  expr_centroid VARCHAR,</div> |
| <div class="line"><a name="l01145"></a><span class="lineno"> 1145</span>  fn_dist VARCHAR</div> |
| <div class="line"><a name="l01146"></a><span class="lineno"> 1146</span> ) RETURNS MADLIB_SCHEMA.kmeans_result</div> |
| <div class="line"><a name="l01147"></a><span class="lineno"> 1147</span> VOLATILE</div> |
| <div class="line"><a name="l01148"></a><span class="lineno"> 1148</span> STRICT</div> |
| <div class="line"><a name="l01149"></a><span class="lineno"> 1149</span> LANGUAGE sql AS $$</div> |
| <div class="line"><a name="l01150"></a><span class="lineno"> 1150</span>  SELECT MADLIB_SCHEMA.kmeans(</div> |
| <div class="line"><a name="l01151"></a><span class="lineno"> 1151</span>  $1, $2,</div> |
| <div class="line"><a name="l01152"></a><span class="lineno"> 1152</span>  $3, $4, $5, 'MADLIB_SCHEMA.avg', 20, 0.001)</div> |
| <div class="line"><a name="l01153"></a><span class="lineno"> 1153</span> $$;</div> |
| <div class="line"><a name="l01154"></a><span class="lineno"> 1154</span> </div> |
| <div class="line"><a name="l01155"></a><span class="lineno"> 1155</span> CREATE FUNCTION MADLIB_SCHEMA.kmeans(</div> |
| <div class="line"><a name="l01156"></a><span class="lineno"> 1156</span>  rel_source VARCHAR,</div> |
| <div class="line"><a name="l01157"></a><span class="lineno"> 1157</span>  expr_point VARCHAR,</div> |
| <div class="line"><a name="l01158"></a><span class="lineno"> 1158</span>  rel_initial_centroids VARCHAR,</div> |
| <div class="line"><a name="l01159"></a><span class="lineno"> 1159</span>  expr_centroid VARCHAR</div> |
| <div class="line"><a name="l01160"></a><span class="lineno"> 1160</span> ) RETURNS MADLIB_SCHEMA.kmeans_result</div> |
| <div class="line"><a name="l01161"></a><span class="lineno"> 1161</span> VOLATILE</div> |
| <div class="line"><a name="l01162"></a><span class="lineno"> 1162</span> STRICT</div> |
| <div class="line"><a name="l01163"></a><span class="lineno"> 1163</span> LANGUAGE sql AS $$</div> |
| <div class="line"><a name="l01164"></a><span class="lineno"> 1164</span>  SELECT MADLIB_SCHEMA.kmeans(</div> |
| <div class="line"><a name="l01165"></a><span class="lineno"> 1165</span>  $1, $2,</div> |
| <div class="line"><a name="l01166"></a><span class="lineno"> 1166</span>  $3, $4,</div> |
| <div class="line"><a name="l01167"></a><span class="lineno"> 1167</span>  'MADLIB_SCHEMA.squared_dist_norm2', 'MADLIB_SCHEMA.avg', 20, 0.001)</div> |
| <div class="line"><a name="l01168"></a><span class="lineno"> 1168</span> $$;</div> |
| <div class="line"><a name="l01169"></a><span class="lineno"> 1169</span> </div> |
| <div class="line"><a name="l01170"></a><span class="lineno"> 1170</span> <span class="comment"></span></div> |
| <div class="line"><a name="l01171"></a><span class="lineno"> 1171</span> <span class="comment">/**</span></div> |
| <div class="line"><a name="l01172"></a><span class="lineno"> 1172</span> <span class="comment"> * @internal</span></div> |
| <div class="line"><a name="l01173"></a><span class="lineno"> 1173</span> <span class="comment"> * @brief Execute a SQL command where $1, ..., $3 are substituted with the</span></div> |
| <div class="line"><a name="l01174"></a><span class="lineno"> 1174</span> <span class="comment"> * given arguments.</span></div> |
| <div class="line"><a name="l01175"></a><span class="lineno"> 1175</span> <span class="comment"> */</span></div> |
| <div class="line"><a name="l01176"></a><span class="lineno"> 1176</span> CREATE FUNCTION MADLIB_SCHEMA.internal_execute_using_silhouette_args(</div> |
| <div class="line"><a name="l01177"></a><span class="lineno"> 1177</span>  sql VARCHAR, centroids DOUBLE PRECISION[][], fn_dist REGPROC</div> |
| <div class="line"><a name="l01178"></a><span class="lineno"> 1178</span> ) RETURNS DOUBLE PRECISION</div> |
| <div class="line"><a name="l01179"></a><span class="lineno"> 1179</span> STABLE</div> |
| <div class="line"><a name="l01180"></a><span class="lineno"> 1180</span> CALLED ON NULL INPUT</div> |
| <div class="line"><a name="l01181"></a><span class="lineno"> 1181</span> LANGUAGE c</div> |
| <div class="line"><a name="l01182"></a><span class="lineno"> 1182</span> AS 'MODULE_PATHNAME', 'exec_sql_using';</div> |
| <div class="line"><a name="l01183"></a><span class="lineno"> 1183</span> <span class="comment"></span></div> |
| <div class="line"><a name="l01184"></a><span class="lineno"> 1184</span> <span class="comment">/**</span></div> |
| <div class="line"><a name="l01185"></a><span class="lineno"> 1185</span> <span class="comment"> * @brief Compute a simplified version of the silhouette coefficient</span></div> |
| <div class="line"><a name="l01186"></a><span class="lineno"> 1186</span> <span class="comment"> *</span></div> |
| <div class="line"><a name="l01187"></a><span class="lineno"> 1187</span> <span class="comment"> * @param rel_source Name of the relation containing input points</span></div> |
| <div class="line"><a name="l01188"></a><span class="lineno"> 1188</span> <span class="comment"> * @param expr_point Expression evaluating to point coordinates \f$ x_i \f$ for</span></div> |
| <div class="line"><a name="l01189"></a><span class="lineno"> 1189</span> <span class="comment"> * each tuple</span></div> |
| <div class="line"><a name="l01190"></a><span class="lineno"> 1190</span> <span class="comment"> * @param centroids Matrix \f$ M = (\vec{m_0} \dots \vec{m_{k-1}})</span></div> |
| <div class="line"><a name="l01191"></a><span class="lineno"> 1191</span> <span class="comment"> * \in \mathbb{R}^{d \times k} \f$ with \f$ k \f$ columns, where column</span></div> |
| <div class="line"><a name="l01192"></a><span class="lineno"> 1192</span> <span class="comment"> * \f$ i \f$ contains the position of centroid \f$ i \f$.</span></div> |
| <div class="line"><a name="l01193"></a><span class="lineno"> 1193</span> <span class="comment"> * @param fn_dist Name of a function with signature</span></div> |
| <div class="line"><a name="l01194"></a><span class="lineno"> 1194</span> <span class="comment"> * <tt>DOUBLE PRECISION[] x DOUBLE PRECISION[] -> DOUBLE PRECISION</tt> that</span></div> |
| <div class="line"><a name="l01195"></a><span class="lineno"> 1195</span> <span class="comment"> * returns the distance between two points</span></div> |
| <div class="line"><a name="l01196"></a><span class="lineno"> 1196</span> <span class="comment"> * @return For each point \f$ x_i \f$, let</span></div> |
| <div class="line"><a name="l01197"></a><span class="lineno"> 1197</span> <span class="comment"> * \f$ d_1( x_i ) \f$ and \f$ d_2( x_i ) \f$ be the distance to the closest</span></div> |
| <div class="line"><a name="l01198"></a><span class="lineno"> 1198</span> <span class="comment"> * and 2nd-closest centroid, respectively. If there is more than one</span></div> |
| <div class="line"><a name="l01199"></a><span class="lineno"> 1199</span> <span class="comment"> * closest centroids then \f$ d_1( x_i ) = d_2( x_i )\f$.</span></div> |
| <div class="line"><a name="l01200"></a><span class="lineno"> 1200</span> <span class="comment"> * The return value is the average, over all points \f$ x_i \f$, of</span></div> |
| <div class="line"><a name="l01201"></a><span class="lineno"> 1201</span> <span class="comment"> * \f[</span></div> |
| <div class="line"><a name="l01202"></a><span class="lineno"> 1202</span> <span class="comment"> * \frac{d_2( x_i ) - d_1(x_i)}{d_2(x_i)},</span></div> |
| <div class="line"><a name="l01203"></a><span class="lineno"> 1203</span> <span class="comment"> * \f]</span></div> |
| <div class="line"><a name="l01204"></a><span class="lineno"> 1204</span> <span class="comment"> * where 0/0 is interpreted as 0.</span></div> |
| <div class="line"><a name="l01205"></a><span class="lineno"> 1205</span> <span class="comment"> * Clearly, the simplified silhouette coefficient assumes values in</span></div> |
| <div class="line"><a name="l01206"></a><span class="lineno"> 1206</span> <span class="comment"> * \f$ [0,1] \f$.</span></div> |
| <div class="line"><a name="l01207"></a><span class="lineno"> 1207</span> <span class="comment"> */</span></div> |
| <div class="line"><a name="l01208"></a><span class="lineno"> 1208</span> CREATE FUNCTION MADLIB_SCHEMA.<a class="code" href="kmeans_8sql__in.html#a71e7675758c99acbe7785819b6a85a8f" title="Compute a simplified version of the silhouette coefficient. ">simple_silhouette</a>(</div> |
| <div class="line"><a name="l01209"></a><span class="lineno"> 1209</span>  rel_source VARCHAR,</div> |
| <div class="line"><a name="l01210"></a><span class="lineno"> 1210</span>  expr_point VARCHAR,</div> |
| <div class="line"><a name="l01211"></a><span class="lineno"> 1211</span>  centroids DOUBLE PRECISION[][],</div> |
| <div class="line"><a name="l01212"></a><span class="lineno"> 1212</span>  fn_dist VARCHAR <span class="comment">/*+ DEFAULT 'dist_norm2' */</span></div> |
| <div class="line"><a name="l01213"></a><span class="lineno"> 1213</span> ) RETURNS DOUBLE PRECISION</div> |
| <div class="line"><a name="l01214"></a><span class="lineno"> 1214</span> STABLE</div> |
| <div class="line"><a name="l01215"></a><span class="lineno"> 1215</span> STRICT</div> |
| <div class="line"><a name="l01216"></a><span class="lineno"> 1216</span> LANGUAGE plpgsql</div> |
| <div class="line"><a name="l01217"></a><span class="lineno"> 1217</span> AS $$</div> |
| <div class="line"><a name="l01218"></a><span class="lineno"> 1218</span> DECLARE</div> |
| <div class="line"><a name="l01219"></a><span class="lineno"> 1219</span>  class_rel_source REGCLASS;</div> |
| <div class="line"><a name="l01220"></a><span class="lineno"> 1220</span>  proc_fn_dist REGPROCEDURE;</div> |
| <div class="line"><a name="l01221"></a><span class="lineno"> 1221</span>  rel_filtered VARCHAR;</div> |
| <div class="line"><a name="l01222"></a><span class="lineno"> 1222</span> BEGIN</div> |
| <div class="line"><a name="l01223"></a><span class="lineno"> 1223</span>  IF (array_upper(centroids,1) IS NULL) THEN</div> |
| <div class="line"><a name="l01224"></a><span class="lineno"> 1224</span>  RAISE EXCEPTION 'No valid centroids given.';</div> |
| <div class="line"><a name="l01225"></a><span class="lineno"> 1225</span>  END IF;</div> |
| <div class="line"><a name="l01226"></a><span class="lineno"> 1226</span> </div> |
| <div class="line"><a name="l01227"></a><span class="lineno"> 1227</span>  rel_filtered = MADLIB_SCHEMA.__filter_input_relation(rel_source, expr_point);</div> |
| <div class="line"><a name="l01228"></a><span class="lineno"> 1228</span>  class_rel_source := rel_filtered;</div> |
| <div class="line"><a name="l01229"></a><span class="lineno"> 1229</span>  proc_fn_dist := fn_dist</div> |
| <div class="line"><a name="l01230"></a><span class="lineno"><a class="code" href="kmeans_8sql__in.html#a71e7675758c99acbe7785819b6a85a8f"> 1230</a></span>  || '(DOUBLE PRECISION[], DOUBLE PRECISION[])';</div> |
| <div class="line"><a name="l01231"></a><span class="lineno"> 1231</span>  IF (SELECT prorettype != 'DOUBLE PRECISION'::regtype OR proisagg = TRUE</div> |
| <div class="line"><a name="l01232"></a><span class="lineno"> 1232</span>  FROM pg_proc WHERE oid = proc_fn_dist) THEN</div> |
| <div class="line"><a name="l01233"></a><span class="lineno"> 1233</span>  RAISE EXCEPTION 'Distance function has wrong signature or is not a simple function.';</div> |
| <div class="line"><a name="l01234"></a><span class="lineno"> 1234</span>  END IF;</div> |
| <div class="line"><a name="l01235"></a><span class="lineno"> 1235</span> </div> |
| <div class="line"><a name="l01236"></a><span class="lineno"> 1236</span>  RETURN MADLIB_SCHEMA.internal_execute_using_silhouette_args($sql$</div> |
| <div class="line"><a name="l01237"></a><span class="lineno"> 1237</span>  SELECT</div> |
| <div class="line"><a name="l01238"></a><span class="lineno"> 1238</span>  avg(CASE</div> |
| <div class="line"><a name="l01239"></a><span class="lineno"> 1239</span>  WHEN distances[2] = 0 THEN 0</div> |
| <div class="line"><a name="l01240"></a><span class="lineno"> 1240</span>  ELSE (distances[2] - distances[1]) / distances[2]</div> |
| <div class="line"><a name="l01241"></a><span class="lineno"> 1241</span>  END)</div> |
| <div class="line"><a name="l01242"></a><span class="lineno"> 1242</span>  FROM (</div> |
| <div class="line"><a name="l01243"></a><span class="lineno"> 1243</span>  SELECT</div> |
| <div class="line"><a name="l01244"></a><span class="lineno"> 1244</span>  (MADLIB_SCHEMA.<a class="code" href="linalg_8sql__in.html#ad3e16fc5435474b96b182ba20905461e" title="Given matrix and vector compute the columns of that are closest to . ">closest_columns</a>(</div> |
| <div class="line"><a name="l01245"></a><span class="lineno"> 1245</span>  $1,</div> |
| <div class="line"><a name="l01246"></a><span class="lineno"> 1246</span>  ($sql$ || expr_point || $sql$)::FLOAT8[],</div> |
| <div class="line"><a name="l01247"></a><span class="lineno"> 1247</span>  2::INTEGER,</div> |
| <div class="line"><a name="l01248"></a><span class="lineno"> 1248</span>  $2</div> |
| <div class="line"><a name="l01249"></a><span class="lineno"> 1249</span>  )).distances</div> |
| <div class="line"><a name="l01250"></a><span class="lineno"> 1250</span>  FROM</div> |
| <div class="line"><a name="l01251"></a><span class="lineno"> 1251</span>  $sql$ || textin(regclassout(class_rel_source)) || $sql$</div> |
| <div class="line"><a name="l01252"></a><span class="lineno"> 1252</span>  ) AS two_shortest_distances</div> |
| <div class="line"><a name="l01253"></a><span class="lineno"> 1253</span>  $sql$,</div> |
| <div class="line"><a name="l01254"></a><span class="lineno"> 1254</span>  centroids, proc_fn_dist);</div> |
| <div class="line"><a name="l01255"></a><span class="lineno"> 1255</span> END;</div> |
| <div class="line"><a name="l01256"></a><span class="lineno"> 1256</span> $$;</div> |
| <div class="line"><a name="l01257"></a><span class="lineno"> 1257</span> </div> |
| <div class="line"><a name="l01258"></a><span class="lineno"> 1258</span> CREATE FUNCTION MADLIB_SCHEMA.<a class="code" href="kmeans_8sql__in.html#a71e7675758c99acbe7785819b6a85a8f" title="Compute a simplified version of the silhouette coefficient. ">simple_silhouette</a>(</div> |
| <div class="line"><a name="l01259"></a><span class="lineno"> 1259</span>  rel_source VARCHAR,</div> |
| <div class="line"><a name="l01260"></a><span class="lineno"> 1260</span>  expr_point VARCHAR,</div> |
| <div class="line"><a name="l01261"></a><span class="lineno"> 1261</span>  centroids DOUBLE PRECISION[][]</div> |
| <div class="line"><a name="l01262"></a><span class="lineno"> 1262</span> ) RETURNS DOUBLE PRECISION</div> |
| <div class="line"><a name="l01263"></a><span class="lineno"> 1263</span> STABLE</div> |
| <div class="line"><a name="l01264"></a><span class="lineno"> 1264</span> STRICT</div> |
| <div class="line"><a name="l01265"></a><span class="lineno"> 1265</span> LANGUAGE sql</div> |
| <div class="line"><a name="l01266"></a><span class="lineno"> 1266</span> AS $$</div> |
| <div class="line"><a name="l01267"></a><span class="lineno"> 1267</span>  SELECT MADLIB_SCHEMA.<a class="code" href="kmeans_8sql__in.html#a71e7675758c99acbe7785819b6a85a8f" title="Compute a simplified version of the silhouette coefficient. ">simple_silhouette</a>($1, $2, $3,</div> |
| <div class="line"><a name="l01268"></a><span class="lineno"> 1268</span>  'MADLIB_SCHEMA.<a class="code" href="linalg_8sql__in.html#aa58e51526edea6ea98db30b6f250adb4" title="2-norm of the difference between two vectors ">dist_norm2</a>')</div> |
| <div class="line"><a name="l01269"></a><span class="lineno"> 1269</span> $$;</div> |
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