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<div class="title">svec.sql_in</div> </div>
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<a href="svec_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>&#160;<span class="comment">/* ----------------------------------------------------------------------- */</span><span class="comment">/** </span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span>&#160;<span class="comment"> *</span></div>
<div class="line"><a name="l00003"></a><span class="lineno"> 3</span>&#160;<span class="comment"> * @file svec.sql_in</span></div>
<div class="line"><a name="l00004"></a><span class="lineno"> 4</span>&#160;<span class="comment"> *</span></div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span>&#160;<span class="comment"> * @brief SQL type definitions and functions for sparse vector data type</span></div>
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span>&#160;<span class="comment"> * &lt;tt&gt;svec&lt;/tt&gt;</span></div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span>&#160;<span class="comment"> *</span></div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span>&#160;<span class="comment"> * @sa For an introduction to the sparse vector implementation, see the module</span></div>
<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>&#160;<span class="comment"> * description \ref grp_svec.</span></div>
<div class="line"><a name="l00010"></a><span class="lineno"> 10</span>&#160;<span class="comment"> *</span></div>
<div class="line"><a name="l00011"></a><span class="lineno"> 11</span>&#160;<span class="comment"> */</span><span class="comment">/* ----------------------------------------------------------------------- */</span></div>
<div class="line"><a name="l00012"></a><span class="lineno"> 12</span>&#160;</div>
<div class="line"><a name="l00013"></a><span class="lineno"> 13</span>&#160;m4_include(`SQLCommon.m4<span class="stringliteral">&#39;)</span></div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span>&#160;<span class="stringliteral"></span><span class="comment"></span></div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span>&#160;<span class="comment">/**</span></div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span>&#160;<span class="comment">@addtogroup grp_svec</span></div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span>&#160;<span class="comment">@about</span></div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span>&#160;<span class="comment">This module implements a sparse vector data type, named &quot;svec&quot;, which</span></div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span>&#160;<span class="comment">provides compressed storage of vectors that have many duplicate elements.</span></div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span>&#160;<span class="comment">Arrays of floating point numbers for various calculations sometimes have</span></div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span>&#160;<span class="comment">long runs of zeros (or some other default value). This is common in</span></div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>&#160;<span class="comment">applications like scientific computing, retail optimization, and text</span></div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>&#160;<span class="comment">processing. Each floating point number takes 8 bytes of storage in memory</span></div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>&#160;<span class="comment">and/or disk, so saving those zeros is often worthwhile. There are also</span></div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160;<span class="comment">many computations that can benefit from skipping over the zeros.</span></div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>&#160;<span class="comment">Consider, for example, the following </span></div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>&#160;<span class="comment">array of doubles stored as a Postgres/Greenplum &quot;float8[]&quot; data type:</span></div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>&#160;<span class="comment">\code</span></div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>&#160;<span class="comment">&#39;{0, 33,...40,000 zeros..., 12, 22 }&#39;::float8[]</span></div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>&#160;<span class="comment">\endcode</span></div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>&#160;<span class="comment">This array would occupy slightly more than 320KB of memory or disk, most of</span></div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>&#160;<span class="comment">it zeros. Even if we were to exploit the null bitmap and store the zeros</span></div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>&#160;<span class="comment">as nulls, we would still end up with a 5KB null bitmap, which is still not</span></div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160;<span class="comment">nearly as memory efficient as we&#39;d like. Also, as we perform various</span></div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>&#160;<span class="comment">operations on the array, we do work on 40,000 fields that turn out to be</span></div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>&#160;<span class="comment">unimportant.</span></div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>&#160;<span class="comment">To solve the problems associated with the processing of vectors discussed</span></div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>&#160;<span class="comment">above, the svec type employs a simple Run Length Encoding (RLE) scheme to</span></div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>&#160;<span class="comment">represent sparse vectors as pairs of count-value arrays. For example, the</span></div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>&#160;<span class="comment">array above would be represented as</span></div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>&#160;<span class="comment">\code</span></div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>&#160;<span class="comment">&#39;{1,1,40000,1,1}:{0,33,0,12,22}&#39;::MADLIB_SCHEMA.svec</span></div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>&#160;<span class="comment">\endcode</span></div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>&#160;<span class="comment">which says there is 1 occurrence of 0, followed by 1 occurrence of 33,</span></div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>&#160;<span class="comment">followed by 40,000 occurrences of 0, etc. This uses just 5 integers and 5</span></div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>&#160;<span class="comment">floating point numbers to store the array. Further, it is easy to</span></div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>&#160;<span class="comment">implement vector operations that can take advantage of the RLE</span></div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>&#160;<span class="comment">representation to make computations faster. The SVEC module provides a library</span></div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>&#160;<span class="comment">of such functions.</span></div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>&#160;<span class="comment">The current version only supports sparse vectors of float8 values. Future</span></div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>&#160;<span class="comment">versions will support other base types.</span></div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>&#160;<span class="comment">@usage</span></div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>&#160;<span class="comment">An SVEC can be constructed directly with a constant expression, as follows:</span></div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>&#160;<span class="comment">\code</span></div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>&#160;<span class="comment">SELECT &#39;{n1,n2,...,nk}:{v1,v2,...vk}&#39;::MADLIB_SCHEMA.svec;</span></div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>&#160;<span class="comment">\endcode</span></div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>&#160;<span class="comment">where &lt;tt&gt;n1,n2,...,nk&lt;/tt&gt; specifies the counts for the values &lt;tt&gt;v1,v2,...,vk&lt;/tt&gt;.</span></div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>&#160;<span class="comment">A float array can be cast to an SVEC:</span></div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>&#160;<span class="comment">\code</span></div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>&#160;<span class="comment">SELECT (&#39;{v1,v2,...vk}&#39;::float[])::MADLIB_SCHEMA.svec;</span></div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>&#160;<span class="comment">\endcode</span></div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>&#160;<span class="comment">An SVEC can be created with an aggregation:</span></div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>&#160;<span class="comment">\code</span></div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>&#160;<span class="comment">SELECT MADLIB_SCHEMA.svec_agg(v1) FROM generate_series(1,k);</span></div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>&#160;<span class="comment">\endcode</span></div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>&#160;<span class="comment">An SVEC can be created using the</span></div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>&#160;<span class="comment">&lt;tt&gt;madlib.svec_cast_positions_float8arr()&lt;/tt&gt; function by supplying an</span></div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>&#160;<span class="comment">array of positions and an array of values at those positions:</span></div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>&#160;<span class="comment">\code</span></div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>&#160;<span class="comment">SELECT MADLIB_SCHEMA.svec_cast_positions_float8arr(</span></div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>&#160;<span class="comment"> array[n1,n2,...nk], -- positions of values in vector</span></div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>&#160;<span class="comment"> array[v1,v2,...vk], -- values at each position</span></div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>&#160;<span class="comment"> length, -- length of vector </span></div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>&#160;<span class="comment"> base) -- value at unspecified positions</span></div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>&#160;<span class="comment">\endcode</span></div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>&#160;<span class="comment">For example, the following expression:</span></div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>&#160;<span class="comment">\code</span></div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>&#160;<span class="comment">SELECT MADLIB_SCHEMA.svec_cast_positions_float8arr(</span></div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>&#160;<span class="comment"> array[1,3,5],</span></div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>&#160;<span class="comment"> array[2,4,6],</span></div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>&#160;<span class="comment"> 10,</span></div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>&#160;<span class="comment"> 0.0)</span></div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>&#160;<span class="comment">\endcode</span></div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>&#160;<span class="comment">produces this SVEC:</span></div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>&#160;<span class="comment">\code</span></div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>&#160;<span class="comment"> svec_cast_positions_float8arr </span></div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>&#160;<span class="comment"> -------------------------------</span></div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>&#160;<span class="comment"> {1,1,1,1,1,5}:{2,0,4,0,6,0}</span></div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>&#160;<span class="comment">\endcode</span></div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>&#160;<span class="comment">Add MADLIB_SCHEMA to the search_path to use the svec operators</span></div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>&#160;<span class="comment">defined in the module.</span></div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>&#160;<span class="comment">See the file svec.sql_in for complete syntax.</span></div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>&#160;<span class="comment">@examp</span></div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>&#160;<span class="comment">We can use operations with svec type like &lt;, &gt;, *, **, /, =, +, SUM, etc, </span></div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>&#160;<span class="comment">and they have meanings associated with typical vector operations. For </span></div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>&#160;<span class="comment">example, the plus (+) operator adds each of the terms of two vectors having</span></div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>&#160;<span class="comment">the same dimension together. </span></div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>&#160;<span class="comment">\code</span></div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>&#160;<span class="comment">sql&gt; SELECT (&#39;{0,1,5}&#39;::float8[]::MADLIB_SCHEMA.svec + &#39;{4,3,2}&#39;::float8[]::MADLIB_SCHEMA.svec)::float8[];</span></div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>&#160;<span class="comment"> float8 </span></div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>&#160;<span class="comment">---------</span></div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>&#160;<span class="comment"> {4,4,7}</span></div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>&#160;<span class="comment">\endcode</span></div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>&#160;<span class="comment">Without the casting into float8[] at the end, we get:</span></div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>&#160;<span class="comment">\code</span></div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>&#160;<span class="comment">sql&gt; SELECT &#39;{0,1,5}&#39;::float8[]::MADLIB_SCHEMA.svec + &#39;{4,3,2}&#39;::float8[]::MADLIB_SCHEMA.svec;</span></div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>&#160;<span class="comment"> ?column? </span></div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>&#160;<span class="comment">----------</span></div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>&#160;<span class="comment">{2,1}:{4,7} </span></div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>&#160;<span class="comment">\endcode</span></div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>&#160;<span class="comment">A dot product (%*%) between the two vectors will result in a scalar </span></div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>&#160;<span class="comment">result of type float8. The dot product should be (0*4 + 1*3 + 5*2) = 13, </span></div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>&#160;<span class="comment">like this:</span></div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>&#160;<span class="comment">\code</span></div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>&#160;<span class="comment">sql&gt; SELECT &#39;{0,1,5}&#39;::float8[]::MADLIB_SCHEMA.svec %*% &#39;{4,3,2}&#39;::float8[]::MADLIB_SCHEMA.svec;</span></div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>&#160;<span class="comment"> ?column? </span></div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>&#160;<span class="comment">----------</span></div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>&#160;<span class="comment"> 13</span></div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>&#160;<span class="comment">\endcode</span></div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>&#160;<span class="comment">Special vector aggregate functions are also available. SUM is self </span></div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>&#160;<span class="comment">explanatory. SVEC_COUNT_NONZERO evaluates the count of non-zero terms </span></div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>&#160;<span class="comment">in each column found in a set of n-dimensional svecs and returns an </span></div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>&#160;<span class="comment">svec with the counts. For instance, if we have the vectors {0,1,5},</span></div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>&#160;<span class="comment">{10,0,3},{0,0,3},{0,1,0}, then executing the SVEC_COUNT_NONZERO() aggregate</span></div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>&#160;<span class="comment">function would result in {1,2,3}:</span></div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>&#160;<span class="comment">\code</span></div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>&#160;<span class="comment">sql&gt; create table list (a MADLIB_SCHEMA.svec);</span></div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>&#160;<span class="comment">sql&gt; insert into list values (&#39;{0,1,5}&#39;::float8[]), (&#39;{10,0,3}&#39;::float8[]), (&#39;{0,0,3}&#39;::float8[]),(&#39;{0,1,0}&#39;::float8[]);</span></div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>&#160;<span class="comment">sql&gt; SELECT MADLIB_SCHEMA.svec_count_nonzero(a)::float8[] FROM list;</span></div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>&#160;<span class="comment">svec_count_nonzero </span></div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>&#160;<span class="comment">-----------------</span></div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>&#160;<span class="comment"> {1,2,3}</span></div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>&#160;<span class="comment">\endcode</span></div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>&#160;<span class="comment">We do not use null bitmaps in the svec data type. A null value in an svec </span></div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>&#160;<span class="comment">is represented explicitly as an NVP (No Value Present) value. For example, </span></div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>&#160;<span class="comment">we have:</span></div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>&#160;<span class="comment">\code</span></div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>&#160;<span class="comment">sql&gt; SELECT &#39;{1,2,3}:{4,null,5}&#39;::MADLIB_SCHEMA.svec;</span></div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>&#160;<span class="comment"> svec </span></div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>&#160;<span class="comment">-------------------</span></div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>&#160;<span class="comment"> {1,2,3}:{4,NVP,5}</span></div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>&#160;<span class="comment">sql&gt; SELECT &#39;{1,2,3}:{4,null,5}&#39;::MADLIB_SCHEMA.svec + &#39;{2,2,2}:{8,9,10}&#39;::MADLIB_SCHEMA.svec; </span></div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>&#160;<span class="comment"> ?column? </span></div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>&#160;<span class="comment"> --------------------------</span></div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>&#160;<span class="comment"> {1,2,1,2}:{12,NVP,14,15}</span></div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>&#160;<span class="comment">\endcode</span></div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>&#160;<span class="comment">An element of an svec can be accessed using the svec_proj() function,</span></div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>&#160;<span class="comment">which takes an svec and the index of the element desired.</span></div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>&#160;<span class="comment">\code</span></div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>&#160;<span class="comment">sql&gt; SELECT MADLIB_SCHEMA.svec_proj(&#39;{1,2,3}:{4,5,6}&#39;::MADLIB_SCHEMA.svec, 1) + MADLIB_SCHEMA.svec_proj(&#39;{4,5,6}:{1,2,3}&#39;::MADLIB_SCHEMA.svec, 15); </span></div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>&#160;<span class="comment"> ?column? </span></div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>&#160;<span class="comment">----------</span></div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>&#160;<span class="comment"> 7</span></div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>&#160;<span class="comment">\endcode</span></div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>&#160;<span class="comment">A subvector of an svec can be accessed using the svec_subvec() function,</span></div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>&#160;<span class="comment">which takes an svec and the start and end index of the subvector desired.</span></div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>&#160;<span class="comment">\code</span></div>
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>&#160;<span class="comment">sql&gt; SELECT MADLIB_SCHEMA.svec_subvec(&#39;{2,4,6}:{1,3,5}&#39;::MADLIB_SCHEMA.svec, 2, 11);</span></div>
<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>&#160;<span class="comment"> svec_subvec </span></div>
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>&#160;<span class="comment">----------------- </span></div>
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>&#160;<span class="comment"> {1,4,5}:{1,3,5}</span></div>
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>&#160;<span class="comment">\endcode</span></div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>&#160;<span class="comment">The elements/subvector of an svec can be changed using the function </span></div>
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>&#160;<span class="comment">svec_change(). It takes three arguments: an m-dimensional svec sv1, a</span></div>
<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>&#160;<span class="comment">start index j, and an n-dimensional svec sv2 such that j + n - 1 &lt;= m,</span></div>
<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>&#160;<span class="comment">and returns an svec like sv1 but with the subvector sv1[j:j+n-1] </span></div>
<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>&#160;<span class="comment">replaced by sv2. An example follows:</span></div>
<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>&#160;<span class="comment">\code</span></div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>&#160;<span class="comment">sql&gt; SELECT MADLIB_SCHEMA.svec_change(&#39;{1,2,3}:{4,5,6}&#39;::MADLIB_SCHEMA.svec,3,&#39;{2}:{3}&#39;::MADLIB_SCHEMA.svec);</span></div>
<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>&#160;<span class="comment"> svec_change </span></div>
<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>&#160;<span class="comment">---------------------</span></div>
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>&#160;<span class="comment"> {1,1,2,2}:{4,5,3,6}</span></div>
<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>&#160;<span class="comment">\endcode</span></div>
<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>&#160;<span class="comment">There are also higher-order functions for processing svecs. For example,</span></div>
<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>&#160;<span class="comment">the following is the corresponding function for lapply() in R.</span></div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>&#160;<span class="comment">\code</span></div>
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>&#160;<span class="comment">sql&gt; SELECT MADLIB_SCHEMA.svec_lapply(&#39;sqrt&#39;, &#39;{1,2,3}:{4,5,6}&#39;::MADLIB_SCHEMA.svec);</span></div>
<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>&#160;<span class="comment"> svec_lapply </span></div>
<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>&#160;<span class="comment">-----------------------------------------------</span></div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>&#160;<span class="comment"> {1,2,3}:{2,2.23606797749979,2.44948974278318}</span></div>
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>&#160;<span class="comment">\endcode</span></div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>&#160;<span class="comment">The full list of functions available for operating on svecs are available</span></div>
<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>&#160;<span class="comment">in svec.sql-in.</span></div>
<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>&#160;<span class="comment">&lt;b&gt; A More Extensive Example&lt;/b&gt;</span></div>
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>&#160;<span class="comment"> For a text classification example, let&#39;s assume we have a dictionary </span></div>
<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>&#160;<span class="comment"> composed of words in a sorted text array:</span></div>
<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>&#160;<span class="comment">\code</span></div>
<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>&#160;<span class="comment">sql&gt; create table features (a text[]);</span></div>
<div class="line"><a name="l00222"></a><span class="lineno"> 222</span>&#160;<span class="comment">sql&gt; insert into features values </span></div>
<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>&#160;<span class="comment"> (&#39;{am,before,being,bothered,corpus,document,i,in,is,me,</span></div>
<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>&#160;<span class="comment"> never,now,one,really,second,the,third,this,until}&#39;);</span></div>
<div class="line"><a name="l00225"></a><span class="lineno"> 225</span>&#160;<span class="comment">\endcode</span></div>
<div class="line"><a name="l00226"></a><span class="lineno"> 226</span>&#160;<span class="comment"> We have a set of documents, each represented as an array of words:</span></div>
<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>&#160;<span class="comment">\code</span></div>
<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>&#160;<span class="comment">sql&gt; create table documents(a int,b text[]);</span></div>
<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>&#160;<span class="comment">sql&gt; insert into documents values</span></div>
<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>&#160;<span class="comment"> (1,&#39;{this,is,one,document,in,the,corpus}&#39;),</span></div>
<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>&#160;<span class="comment"> (2,&#39;{i,am,the,second,document,in,the,corpus}&#39;),</span></div>
<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>&#160;<span class="comment"> (3,&#39;{being,third,never,really,bothered,me,until,now}&#39;),</span></div>
<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>&#160;<span class="comment"> (4,&#39;{the,document,before,me,is,the,third,document}&#39;);</span></div>
<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>&#160;<span class="comment">\endcode</span></div>
<div class="line"><a name="l00235"></a><span class="lineno"> 235</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>&#160;<span class="comment"> Now we have a dictionary and some documents, we would like to do some </span></div>
<div class="line"><a name="l00237"></a><span class="lineno"> 237</span>&#160;<span class="comment"> document categorization using vector arithmetic on word counts and </span></div>
<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>&#160;<span class="comment"> proportions of dictionary words in each document.</span></div>
<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00240"></a><span class="lineno"> 240</span>&#160;<span class="comment"> To start this process, we&#39;ll need to find the dictionary words in each </span></div>
<div class="line"><a name="l00241"></a><span class="lineno"> 241</span>&#160;<span class="comment"> document. We&#39;ll prepare what is called a Sparse Feature Vector or SFV </span></div>
<div class="line"><a name="l00242"></a><span class="lineno"> 242</span>&#160;<span class="comment"> for each document. An SFV is a vector of dimension N, where N is the </span></div>
<div class="line"><a name="l00243"></a><span class="lineno"> 243</span>&#160;<span class="comment"> number of dictionary words, and in each cell of an SFV is a count of </span></div>
<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>&#160;<span class="comment"> each dictionary word in the document.</span></div>
<div class="line"><a name="l00245"></a><span class="lineno"> 245</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>&#160;<span class="comment"> Inside the sparse vector library, we have a function that will create </span></div>
<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>&#160;<span class="comment"> an SFV from a document, so we can just do this:</span></div>
<div class="line"><a name="l00248"></a><span class="lineno"> 248</span>&#160;<span class="comment">\code</span></div>
<div class="line"><a name="l00249"></a><span class="lineno"> 249</span>&#160;<span class="comment">sql&gt; SELECT MADLIB_SCHEMA.svec_sfv((SELECT a FROM features LIMIT 1),b)::float8[] </span></div>
<div class="line"><a name="l00250"></a><span class="lineno"> 250</span>&#160;<span class="comment"> FROM documents;</span></div>
<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>&#160;<span class="comment"> svec_sfv</span></div>
<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>&#160;<span class="comment">-----------------------------------------</span></div>
<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>&#160;<span class="comment"> {0,0,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0}</span></div>
<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>&#160;<span class="comment"> {0,0,1,1,0,0,0,0,0,1,1,1,0,1,0,0,1,0,1}</span></div>
<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>&#160;<span class="comment"> {1,0,0,0,1,1,1,1,0,0,0,0,0,0,1,2,0,0,0}</span></div>
<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>&#160;<span class="comment"> {0,1,0,0,0,2,0,0,1,1,0,0,0,0,0,2,1,0,0}</span></div>
<div class="line"><a name="l00258"></a><span class="lineno"> 258</span>&#160;<span class="comment">\endcode</span></div>
<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>&#160;<span class="comment"> Note that the output of MADLIB_SCHEMA.svec_sfv() is an svec for each </span></div>
<div class="line"><a name="l00260"></a><span class="lineno"> 260</span>&#160;<span class="comment"> document containing the count of each of the dictionary words in the </span></div>
<div class="line"><a name="l00261"></a><span class="lineno"> 261</span>&#160;<span class="comment"> ordinal positions of the dictionary. This can more easily be understood </span></div>
<div class="line"><a name="l00262"></a><span class="lineno"> 262</span>&#160;<span class="comment"> by lining up the feature vector and text like this:</span></div>
<div class="line"><a name="l00263"></a><span class="lineno"> 263</span>&#160;<span class="comment">\code</span></div>
<div class="line"><a name="l00264"></a><span class="lineno"> 264</span>&#160;<span class="comment">sql&gt; SELECT MADLIB_SCHEMA.svec_sfv((SELECT a FROM features LIMIT 1),b)::float8[]</span></div>
<div class="line"><a name="l00265"></a><span class="lineno"> 265</span>&#160;<span class="comment"> , b </span></div>
<div class="line"><a name="l00266"></a><span class="lineno"> 266</span>&#160;<span class="comment"> FROM documents;</span></div>
<div class="line"><a name="l00267"></a><span class="lineno"> 267</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00268"></a><span class="lineno"> 268</span>&#160;<span class="comment"> svec_sfv | b </span></div>
<div class="line"><a name="l00269"></a><span class="lineno"> 269</span>&#160;<span class="comment">-----------------------------------------+--------------------------------------------------</span></div>
<div class="line"><a name="l00270"></a><span class="lineno"> 270</span>&#160;<span class="comment"> {1,0,0,0,1,1,1,1,0,0,0,0,0,0,1,2,0,0,0} | {i,am,the,second,document,in,the,corpus}</span></div>
<div class="line"><a name="l00271"></a><span class="lineno"> 271</span>&#160;<span class="comment"> {0,1,0,0,0,2,0,0,1,1,0,0,0,0,0,2,1,0,0} | {the,document,before,me,is,the,third,document}</span></div>
<div class="line"><a name="l00272"></a><span class="lineno"> 272</span>&#160;<span class="comment"> {0,0,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0} | {this,is,one,document,in,the,corpus}</span></div>
<div class="line"><a name="l00273"></a><span class="lineno"> 273</span>&#160;<span class="comment"> {0,0,1,1,0,0,0,0,0,1,1,1,0,1,0,0,1,0,1} | {being,third,never,really,bothered,me,until,now}</span></div>
<div class="line"><a name="l00274"></a><span class="lineno"> 274</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00275"></a><span class="lineno"> 275</span>&#160;<span class="comment">sql&gt; SELECT * FROM features;</span></div>
<div class="line"><a name="l00276"></a><span class="lineno"> 276</span>&#160;<span class="comment"> a </span></div>
<div class="line"><a name="l00277"></a><span class="lineno"> 277</span>&#160;<span class="comment">--------------------------------------------------------------------------------------------------------</span></div>
<div class="line"><a name="l00278"></a><span class="lineno"> 278</span>&#160;<span class="comment">{am,before,being,bothered,corpus,document,i,in,is,me,never,now,one,really,second,the,third,this,until}</span></div>
<div class="line"><a name="l00279"></a><span class="lineno"> 279</span>&#160;<span class="comment">\endcode</span></div>
<div class="line"><a name="l00280"></a><span class="lineno"> 280</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00281"></a><span class="lineno"> 281</span>&#160;<span class="comment"> Now when we look at the document &quot;i am the second document in the corpus&quot;, </span></div>
<div class="line"><a name="l00282"></a><span class="lineno"> 282</span>&#160;<span class="comment"> its SFV is {1,3*0,1,1,1,1,6*0,1,2}. The word &quot;am&quot; is the first ordinate in </span></div>
<div class="line"><a name="l00283"></a><span class="lineno"> 283</span>&#160;<span class="comment"> the dictionary and there is 1 instance of it in the SFV. The word &quot;before&quot; </span></div>
<div class="line"><a name="l00284"></a><span class="lineno"> 284</span>&#160;<span class="comment"> has no instances in the document, so its value is &quot;0&quot; and so on.</span></div>
<div class="line"><a name="l00285"></a><span class="lineno"> 285</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00286"></a><span class="lineno"> 286</span>&#160;<span class="comment"> The function MADLIB_SCHEMA.svec_sfv() can process large </span></div>
<div class="line"><a name="l00287"></a><span class="lineno"> 287</span>&#160;<span class="comment"> numbers of documents into their SFVs in parallel at high speed.</span></div>
<div class="line"><a name="l00288"></a><span class="lineno"> 288</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00289"></a><span class="lineno"> 289</span>&#160;<span class="comment"> The rest of the categorization process is all vector math. The actual </span></div>
<div class="line"><a name="l00290"></a><span class="lineno"> 290</span>&#160;<span class="comment"> count is hardly ever used. Instead, it&#39;s turned into a weight. The most </span></div>
<div class="line"><a name="l00291"></a><span class="lineno"> 291</span>&#160;<span class="comment"> common weight is called tf/idf for Term Frequency / Inverse Document </span></div>
<div class="line"><a name="l00292"></a><span class="lineno"> 292</span>&#160;<span class="comment"> Frequency. The calculation for a given term in a given document is </span></div>
<div class="line"><a name="l00293"></a><span class="lineno"> 293</span>&#160;<span class="comment">\code</span></div>
<div class="line"><a name="l00294"></a><span class="lineno"> 294</span>&#160;<span class="comment">{#Times in document} * log {#Documents / #Documents the term appears in}.</span></div>
<div class="line"><a name="l00295"></a><span class="lineno"> 295</span>&#160;<span class="comment">\endcode</span></div>
<div class="line"><a name="l00296"></a><span class="lineno"> 296</span>&#160;<span class="comment"> For instance, the term &quot;document&quot; in document A would have weight </span></div>
<div class="line"><a name="l00297"></a><span class="lineno"> 297</span>&#160;<span class="comment"> 1 * log (4/3). In document D, it would have weight 2 * log (4/3).</span></div>
<div class="line"><a name="l00298"></a><span class="lineno"> 298</span>&#160;<span class="comment"> Terms that appear in every document would have tf/idf weight 0, since </span></div>
<div class="line"><a name="l00299"></a><span class="lineno"> 299</span>&#160;<span class="comment"> log (4/4) = log(1) = 0. (Our example has no term like that.) That </span></div>
<div class="line"><a name="l00300"></a><span class="lineno"> 300</span>&#160;<span class="comment"> usually sends a lot of values to 0.</span></div>
<div class="line"><a name="l00301"></a><span class="lineno"> 301</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00302"></a><span class="lineno"> 302</span>&#160;<span class="comment"> For this part of the processing, we&#39;ll need to have a sparse vector of </span></div>
<div class="line"><a name="l00303"></a><span class="lineno"> 303</span>&#160;<span class="comment"> the dictionary dimension (19) with the values </span></div>
<div class="line"><a name="l00304"></a><span class="lineno"> 304</span>&#160;<span class="comment">\code</span></div>
<div class="line"><a name="l00305"></a><span class="lineno"> 305</span>&#160;<span class="comment">log(#documents/#Documents each term appears in). </span></div>
<div class="line"><a name="l00306"></a><span class="lineno"> 306</span>&#160;<span class="comment">\endcode</span></div>
<div class="line"><a name="l00307"></a><span class="lineno"> 307</span>&#160;<span class="comment"> There will be one such vector for the whole list of documents (aka the </span></div>
<div class="line"><a name="l00308"></a><span class="lineno"> 308</span>&#160;<span class="comment"> &quot;corpus&quot;). The #documents is just a count of all of the documents, in </span></div>
<div class="line"><a name="l00309"></a><span class="lineno"> 309</span>&#160;<span class="comment"> this case 4, but there is one divisor for each dictionary word and its </span></div>
<div class="line"><a name="l00310"></a><span class="lineno"> 310</span>&#160;<span class="comment"> value is the count of all the times that word appears in the document. </span></div>
<div class="line"><a name="l00311"></a><span class="lineno"> 311</span>&#160;<span class="comment"> This single vector for the whole corpus can then be scalar product </span></div>
<div class="line"><a name="l00312"></a><span class="lineno"> 312</span>&#160;<span class="comment"> multiplied by each document SFV to produce the Term Frequency/Inverse </span></div>
<div class="line"><a name="l00313"></a><span class="lineno"> 313</span>&#160;<span class="comment"> Document Frequency weights.</span></div>
<div class="line"><a name="l00314"></a><span class="lineno"> 314</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00315"></a><span class="lineno"> 315</span>&#160;<span class="comment"> This can be done as follows:</span></div>
<div class="line"><a name="l00316"></a><span class="lineno"> 316</span>&#160;<span class="comment">\code</span></div>
<div class="line"><a name="l00317"></a><span class="lineno"> 317</span>&#160;<span class="comment">sql&gt; create table corpus as </span></div>
<div class="line"><a name="l00318"></a><span class="lineno"> 318</span>&#160;<span class="comment"> (SELECT a, MADLIB_SCHEMA.svec_sfv((SELECT a FROM features LIMIT 1),b) sfv </span></div>
<div class="line"><a name="l00319"></a><span class="lineno"> 319</span>&#160;<span class="comment"> FROM documents);</span></div>
<div class="line"><a name="l00320"></a><span class="lineno"> 320</span>&#160;<span class="comment">sql&gt; create table weights as</span></div>
<div class="line"><a name="l00321"></a><span class="lineno"> 321</span>&#160;<span class="comment"> (SELECT a docnum, MADLIB_SCHEMA.svec_mult(sfv, logidf) tf_idf </span></div>
<div class="line"><a name="l00322"></a><span class="lineno"> 322</span>&#160;<span class="comment"> FROM (SELECT MADLIB_SCHEMA.svec_log(MADLIB_SCHEMA.svec_div(count(sfv)::MADLIB_SCHEMA.svec,MADLIB_SCHEMA.svec_count_nonzero(sfv))) logidf </span></div>
<div class="line"><a name="l00323"></a><span class="lineno"> 323</span>&#160;<span class="comment"> FROM corpus) foo, corpus ORDER BYdocnum);</span></div>
<div class="line"><a name="l00324"></a><span class="lineno"> 324</span>&#160;<span class="comment">sql&gt; SELECT * FROM weights;</span></div>
<div class="line"><a name="l00325"></a><span class="lineno"> 325</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00326"></a><span class="lineno"> 326</span>&#160;<span class="comment">docnum | tf_idf </span></div>
<div class="line"><a name="l00327"></a><span class="lineno"> 327</span>&#160;<span class="comment">-------+----------------------------------------------------------------------</span></div>
<div class="line"><a name="l00328"></a><span class="lineno"> 328</span>&#160;<span class="comment"> 1 | {4,1,1,1,2,3,1,2,1,1,1,1}:{0,0.69,0.28,0,0.69,0,1.38,0,0.28,0,1.38,0}</span></div>
<div class="line"><a name="l00329"></a><span class="lineno"> 329</span>&#160;<span class="comment"> 2 | {1,3,1,1,1,1,6,1,1,3}:{1.38,0,0.69,0.28,1.38,0.69,0,1.38,0.57,0}</span></div>
<div class="line"><a name="l00330"></a><span class="lineno"> 330</span>&#160;<span class="comment"> 3 | {2,2,5,1,2,1,1,2,1,1,1}:{0,1.38,0,0.69,1.38,0,1.38,0,0.69,0,1.38}</span></div>
<div class="line"><a name="l00331"></a><span class="lineno"> 331</span>&#160;<span class="comment"> 4 | {1,1,3,1,2,2,5,1,1,2}:{0,1.38,0,0.57,0,0.69,0,0.57,0.69,0}</span></div>
<div class="line"><a name="l00332"></a><span class="lineno"> 332</span>&#160;<span class="comment">\endcode</span></div>
<div class="line"><a name="l00333"></a><span class="lineno"> 333</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00334"></a><span class="lineno"> 334</span>&#160;<span class="comment"> We can now get the &quot;angular distance&quot; between one document and the rest </span></div>
<div class="line"><a name="l00335"></a><span class="lineno"> 335</span>&#160;<span class="comment"> of the documents using the ACOS of the dot product of the document vectors:</span></div>
<div class="line"><a name="l00336"></a><span class="lineno"> 336</span>&#160;<span class="comment"> The following calculates the angular distance between the first document </span></div>
<div class="line"><a name="l00337"></a><span class="lineno"> 337</span>&#160;<span class="comment"> and each of the other documents:</span></div>
<div class="line"><a name="l00338"></a><span class="lineno"> 338</span>&#160;<span class="comment">\code</span></div>
<div class="line"><a name="l00339"></a><span class="lineno"> 339</span>&#160;<span class="comment">sql&gt; SELECT docnum,</span></div>
<div class="line"><a name="l00340"></a><span class="lineno"> 340</span>&#160;<span class="comment"> 180. * ( ACOS( MADLIB_SCHEMA.svec_dmin( 1., MADLIB_SCHEMA.svec_dot(tf_idf, testdoc) </span></div>
<div class="line"><a name="l00341"></a><span class="lineno"> 341</span>&#160;<span class="comment"> / (MADLIB_SCHEMA.svec_l2norm(tf_idf)*MADLIB_SCHEMA.svec_l2norm(testdoc))))/3.141592654) angular_distance </span></div>
<div class="line"><a name="l00342"></a><span class="lineno"> 342</span>&#160;<span class="comment"> FROM weights,(SELECT tf_idf testdoc FROM weights WHERE docnum = 1 LIMIT 1) foo </span></div>
<div class="line"><a name="l00343"></a><span class="lineno"> 343</span>&#160;<span class="comment"> ORDER BY 1;</span></div>
<div class="line"><a name="l00344"></a><span class="lineno"> 344</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00345"></a><span class="lineno"> 345</span>&#160;<span class="comment">docnum | angular_distance </span></div>
<div class="line"><a name="l00346"></a><span class="lineno"> 346</span>&#160;<span class="comment">--------+------------------</span></div>
<div class="line"><a name="l00347"></a><span class="lineno"> 347</span>&#160;<span class="comment"> 1 | 0</span></div>
<div class="line"><a name="l00348"></a><span class="lineno"> 348</span>&#160;<span class="comment"> 2 | 78.8235846096986</span></div>
<div class="line"><a name="l00349"></a><span class="lineno"> 349</span>&#160;<span class="comment"> 3 | 89.9999999882484</span></div>
<div class="line"><a name="l00350"></a><span class="lineno"> 350</span>&#160;<span class="comment"> 4 | 80.0232034288617</span></div>
<div class="line"><a name="l00351"></a><span class="lineno"> 351</span>&#160;<span class="comment">\endcode</span></div>
<div class="line"><a name="l00352"></a><span class="lineno"> 352</span>&#160;<span class="comment"> We can see that the angular distance between document 1 and itself </span></div>
<div class="line"><a name="l00353"></a><span class="lineno"> 353</span>&#160;<span class="comment"> is 0 degrees and between document 1 and 3 is 90 degrees because they </span></div>
<div class="line"><a name="l00354"></a><span class="lineno"> 354</span>&#160;<span class="comment"> share no features at all. The angular distance can now be plugged into</span></div>
<div class="line"><a name="l00355"></a><span class="lineno"> 355</span>&#160;<span class="comment"> machine learning algorithms that rely on a distance measure between</span></div>
<div class="line"><a name="l00356"></a><span class="lineno"> 356</span>&#160;<span class="comment"> data points.</span></div>
<div class="line"><a name="l00357"></a><span class="lineno"> 357</span>&#160;<span class="comment"> </span></div>
<div class="line"><a name="l00358"></a><span class="lineno"> 358</span>&#160;<span class="comment"> SVEC also provides functionality for declaring array given an array of positions and array of values, intermediate values betweens those</span></div>
<div class="line"><a name="l00359"></a><span class="lineno"> 359</span>&#160;<span class="comment"> are declared to be base value that user provides in the same function call. In the example below the fist array of integers represents the</span></div>
<div class="line"><a name="l00360"></a><span class="lineno"> 360</span>&#160;<span class="comment"> positions for the array two (array of floats). Positions do not need to come in the sorted order. </span></div>
<div class="line"><a name="l00361"></a><span class="lineno"> 361</span>&#160;<span class="comment"> Third value represents desired maximum size of the array. This assures that array is of that size</span></div>
<div class="line"><a name="l00362"></a><span class="lineno"> 362</span>&#160;<span class="comment"> even if last position is not. If max size &lt; 1 that value is ignored and array will end at the last position in the position vector. Final value is a float representing the base value to be used between the declared ones (0 would be a common candidate):</span></div>
<div class="line"><a name="l00363"></a><span class="lineno"> 363</span>&#160;<span class="comment">\code</span></div>
<div class="line"><a name="l00364"></a><span class="lineno"> 364</span>&#160;<span class="comment">sql&gt; SELECT MADLIB_SCHEMA.svec_cast_positions_float8arr(ARRAY[1,2,7,5,87],ARRAY[.1,.2,.7,.5,.87],90,0.0);</span></div>
<div class="line"><a name="l00365"></a><span class="lineno"> 365</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00366"></a><span class="lineno"> 366</span>&#160;<span class="comment"> svec_cast_positions_float8arr </span></div>
<div class="line"><a name="l00367"></a><span class="lineno"> 367</span>&#160;<span class="comment">-----------------------------------------------------</span></div>
<div class="line"><a name="l00368"></a><span class="lineno"> 368</span>&#160;<span class="comment">{1,1,2,1,1,1,79,1,3}:{0.1,0.2,0,0.5,0,0.7,0,0.87,0}</span></div>
<div class="line"><a name="l00369"></a><span class="lineno"> 369</span>&#160;<span class="comment">(1 row)</span></div>
<div class="line"><a name="l00370"></a><span class="lineno"> 370</span>&#160;<span class="comment">\endcode</span></div>
<div class="line"><a name="l00371"></a><span class="lineno"> 371</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00372"></a><span class="lineno"> 372</span>&#160;<span class="comment"> Other examples of svecs usage can be found in the k-means module.</span></div>
<div class="line"><a name="l00373"></a><span class="lineno"> 373</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00374"></a><span class="lineno"> 374</span>&#160;<span class="comment">@sa File svec.sql_in documenting the SQL functions.</span></div>
<div class="line"><a name="l00375"></a><span class="lineno"> 375</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00376"></a><span class="lineno"> 376</span>&#160;<span class="comment">@internal</span></div>
<div class="line"><a name="l00377"></a><span class="lineno"> 377</span>&#160;<span class="comment">@sa File sparse_vector.c documenting the implementation in C.</span></div>
<div class="line"><a name="l00378"></a><span class="lineno"> 378</span>&#160;<span class="comment">@endinternal</span></div>
<div class="line"><a name="l00379"></a><span class="lineno"> 379</span>&#160;<span class="comment">*/</span></div>
<div class="line"><a name="l00380"></a><span class="lineno"> 380</span>&#160;</div>
<div class="line"><a name="l00381"></a><span class="lineno"> 381</span>&#160;</div>
<div class="line"><a name="l00382"></a><span class="lineno"> 382</span>&#160;--! @file svec.sql_in</div>
<div class="line"><a name="l00383"></a><span class="lineno"> 383</span>&#160;--!</div>
<div class="line"><a name="l00384"></a><span class="lineno"> 384</span>&#160;</div>
<div class="line"><a name="l00385"></a><span class="lineno"> 385</span>&#160;-- DROP SCHEMA MADLIB_SCHEMA CASCADE;</div>
<div class="line"><a name="l00386"></a><span class="lineno"> 386</span>&#160;-- CREATE SCHEMA MADLIB_SCHEMA;</div>
<div class="line"><a name="l00387"></a><span class="lineno"> 387</span>&#160;</div>
<div class="line"><a name="l00388"></a><span class="lineno"> 388</span>&#160;-- DROP TYPE IF EXISTS MADLIB_SCHEMA.svec CASCADE;</div>
<div class="line"><a name="l00389"></a><span class="lineno"> 389</span>&#160;CREATE TYPE MADLIB_SCHEMA.svec;</div>
<div class="line"><a name="l00390"></a><span class="lineno"> 390</span>&#160;</div>
<div class="line"><a name="l00391"></a><span class="lineno"> 391</span>&#160;--! SVEC constructor from CSTRING.</div>
<div class="line"><a name="l00392"></a><span class="lineno"> 392</span>&#160;--!</div>
<div class="line"><a name="l00393"></a><span class="lineno"> 393</span>&#160;CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.svec_in(cstring)</div>
<div class="line"><a name="l00394"></a><span class="lineno"> 394</span>&#160; RETURNS MADLIB_SCHEMA.svec</div>
<div class="line"><a name="l00395"></a><span class="lineno"> 395</span>&#160; AS &#39;MODULE_PATHNAME<span class="stringliteral">&#39;</span></div>
<div class="line"><a name="l00396"></a><span class="lineno"> 396</span>&#160;<span class="stringliteral"> LANGUAGE C IMMUTABLE STRICT;</span></div>
<div class="line"><a name="l00397"></a><span class="lineno"> 397</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00398"></a><span class="lineno"> 398</span>&#160;<span class="stringliteral">--! Converts SVEC to CSTRING.</span></div>
<div class="line"><a name="l00399"></a><span class="lineno"> 399</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l00400"></a><span class="lineno"> 400</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.svec_out(MADLIB_SCHEMA.svec)</span></div>
<div class="line"><a name="l00401"></a><span class="lineno"> 401</span>&#160;<span class="stringliteral"> RETURNS cstring</span></div>
<div class="line"><a name="l00402"></a><span class="lineno"> 402</span>&#160;<span class="stringliteral"> AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;</span></div>
<div class="line"><a name="l00403"></a><span class="lineno"> 403</span>&#160;<span class="stringliteral"> LANGUAGE C IMMUTABLE STRICT;</span></div>
<div class="line"><a name="l00404"></a><span class="lineno"> 404</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00405"></a><span class="lineno"> 405</span>&#160;<span class="stringliteral">--! Converts SVEC internal representation to SVEC.</span></div>
<div class="line"><a name="l00406"></a><span class="lineno"> 406</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l00407"></a><span class="lineno"> 407</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.svec_recv(internal)</span></div>
<div class="line"><a name="l00408"></a><span class="lineno"> 408</span>&#160;<span class="stringliteral"> RETURNS MADLIB_SCHEMA.svec</span></div>
<div class="line"><a name="l00409"></a><span class="lineno"> 409</span>&#160;<span class="stringliteral"> AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;</span></div>
<div class="line"><a name="l00410"></a><span class="lineno"> 410</span>&#160;<span class="stringliteral"> LANGUAGE C IMMUTABLE STRICT;</span></div>
<div class="line"><a name="l00411"></a><span class="lineno"> 411</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00412"></a><span class="lineno"> 412</span>&#160;<span class="stringliteral">--! Converts SVEC to BYTEA.</span></div>
<div class="line"><a name="l00413"></a><span class="lineno"> 413</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l00414"></a><span class="lineno"> 414</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.svec_send(MADLIB_SCHEMA.svec)</span></div>
<div class="line"><a name="l00415"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#abe896192db26c02d5c517a5ccf2144f1"> 415</a></span>&#160;<span class="stringliteral"> RETURNS bytea</span></div>
<div class="line"><a name="l00416"></a><span class="lineno"> 416</span>&#160;<span class="stringliteral"> AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;</span></div>
<div class="line"><a name="l00417"></a><span class="lineno"> 417</span>&#160;<span class="stringliteral"> LANGUAGE C IMMUTABLE STRICT;</span></div>
<div class="line"><a name="l00418"></a><span class="lineno"> 418</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00419"></a><span class="lineno"> 419</span>&#160;<span class="stringliteral">CREATE TYPE MADLIB_SCHEMA.svec (</span></div>
<div class="line"><a name="l00420"></a><span class="lineno"> 420</span>&#160;<span class="stringliteral"> internallength = VARIABLE, </span></div>
<div class="line"><a name="l00421"></a><span class="lineno"> 421</span>&#160;<span class="stringliteral"> input = MADLIB_SCHEMA.svec_in,</span></div>
<div class="line"><a name="l00422"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#a3db4af36acd318030ae57d2bfd19387a"> 422</a></span>&#160;<span class="stringliteral"> output = MADLIB_SCHEMA.svec_out,</span></div>
<div class="line"><a name="l00423"></a><span class="lineno"> 423</span>&#160;<span class="stringliteral"> send = MADLIB_SCHEMA.svec_send,</span></div>
<div class="line"><a name="l00424"></a><span class="lineno"> 424</span>&#160;<span class="stringliteral"> receive = MADLIB_SCHEMA.svec_recv,</span></div>
<div class="line"><a name="l00425"></a><span class="lineno"> 425</span>&#160;<span class="stringliteral"> storage=EXTENDED,</span></div>
<div class="line"><a name="l00426"></a><span class="lineno"> 426</span>&#160;<span class="stringliteral"> alignment = double</span></div>
<div class="line"><a name="l00427"></a><span class="lineno"> 427</span>&#160;<span class="stringliteral">);</span></div>
<div class="line"><a name="l00428"></a><span class="lineno"> 428</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00429"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#a585ea8bcb1d0647ef1295187b87405b2"> 429</a></span>&#160;<span class="stringliteral">--! Basic floating point scalar operator: MIN.</span></div>
<div class="line"><a name="l00430"></a><span class="lineno"> 430</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l00431"></a><span class="lineno"> 431</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.svec_dmin(float8,float8) RETURNS float8 AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span>float8_min<span class="stringliteral">&#39; LANGUAGE C IMMUTABLE; </span></div>
<div class="line"><a name="l00432"></a><span class="lineno"> 432</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00433"></a><span class="lineno"> 433</span>&#160;<span class="stringliteral">--! Basic floating point scalar operator: MAX.</span></div>
<div class="line"><a name="l00434"></a><span class="lineno"> 434</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l00435"></a><span class="lineno"> 435</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.svec_dmax(float8,float8) RETURNS float8 AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span>float8_max<span class="stringliteral">&#39; LANGUAGE C IMMUTABLE; </span></div>
<div class="line"><a name="l00436"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#a617557435170136b2781070c0a268b83"> 436</a></span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00437"></a><span class="lineno"> 437</span>&#160;<span class="stringliteral">--! Counts the number of non-zero entries in the input vector; the second argument is capped at 1, then added to the first; used as the sfunc in the svec_count_nonzero() aggregate below.</span></div>
<div class="line"><a name="l00438"></a><span class="lineno"> 438</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l00439"></a><span class="lineno"> 439</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.svec_count(MADLIB_SCHEMA.svec,MADLIB_SCHEMA.svec) RETURNS MADLIB_SCHEMA.svec </span></div>
<div class="line"><a name="l00440"></a><span class="lineno"> 440</span>&#160;<span class="stringliteral">AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span><a class="code" href="svec_8sql__in.html#a6a21e25d3f50053c888a0bd126f831f0">svec_count</a><span class="stringliteral">&#39; STRICT LANGUAGE C IMMUTABLE; </span></div>
<div class="line"><a name="l00441"></a><span class="lineno"> 441</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00442"></a><span class="lineno"> 442</span>&#160;<span class="stringliteral">--! Adds two SVECs together, element by element.</span></div>
<div class="line"><a name="l00443"></a><span class="lineno"> 443</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l00444"></a><span class="lineno"> 444</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.svec_plus(MADLIB_SCHEMA.svec,MADLIB_SCHEMA.svec) RETURNS MADLIB_SCHEMA.svec AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span><a class="code" href="svec_8sql__in.html#a612d8920c61e6fdf18dd4e3e9c69c979">svec_plus</a><span class="stringliteral">&#39; STRICT LANGUAGE C IMMUTABLE; </span></div>
<div class="line"><a name="l00445"></a><span class="lineno"> 445</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00446"></a><span class="lineno"> 446</span>&#160;<span class="stringliteral">--! Minus second SVEC from the first, element by element.</span></div>
<div class="line"><a name="l00447"></a><span class="lineno"> 447</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l00448"></a><span class="lineno"> 448</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.svec_minus(MADLIB_SCHEMA.svec,MADLIB_SCHEMA.svec) RETURNS MADLIB_SCHEMA.svec AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span><a class="code" href="svec_8sql__in.html#a170890a165bf662d343339ffc2a187cf">svec_minus</a><span class="stringliteral">&#39; STRICT LANGUAGE C IMMUTABLE; </span></div>
<div class="line"><a name="l00449"></a><span class="lineno"> 449</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00450"></a><span class="lineno"> 450</span>&#160;<span class="stringliteral">--! Computes the logarithm of each element of the input SVEC.</span></div>
<div class="line"><a name="l00451"></a><span class="lineno"> 451</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l00452"></a><span class="lineno"> 452</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.svec_log(MADLIB_SCHEMA.svec) RETURNS MADLIB_SCHEMA.svec AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span><a class="code" href="svec_8sql__in.html#aab641f9db3deed5bbfa7e050c531e9c1">svec_log</a><span class="stringliteral">&#39; STRICT LANGUAGE C IMMUTABLE; </span></div>
<div class="line"><a name="l00453"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#ad1011a13839994adbb1eb3e643c9074d"> 453</a></span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00454"></a><span class="lineno"> 454</span>&#160;<span class="stringliteral">--! Divides the first SVEC by the second, element by element.</span></div>
<div class="line"><a name="l00455"></a><span class="lineno"> 455</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l00456"></a><span class="lineno"> 456</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.svec_div(MADLIB_SCHEMA.svec,MADLIB_SCHEMA.svec) RETURNS MADLIB_SCHEMA.svec AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span><a class="code" href="svec_8sql__in.html#a78a38512c860085e31f6153b8118cbe9">svec_div</a><span class="stringliteral">&#39; STRICT LANGUAGE C IMMUTABLE; </span></div>
<div class="line"><a name="l00457"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#aa05abd8cb32253c07c0f2224861256a5"> 457</a></span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00458"></a><span class="lineno"> 458</span>&#160;<span class="stringliteral">--! Multiplies two SVEVs together, element by element.</span></div>
<div class="line"><a name="l00459"></a><span class="lineno"> 459</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l00460"></a><span class="lineno"> 460</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.svec_mult(MADLIB_SCHEMA.svec,MADLIB_SCHEMA.svec) RETURNS MADLIB_SCHEMA.svec AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span><a class="code" href="svec_8sql__in.html#a27f0629942dba2e395b005c728d53ac3">svec_mult</a><span class="stringliteral">&#39; STRICT LANGUAGE C IMMUTABLE; </span></div>
<div class="line"><a name="l00461"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#a6a21e25d3f50053c888a0bd126f831f0"> 461</a></span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00462"></a><span class="lineno"> 462</span>&#160;<span class="stringliteral">--! Raises each element of the first SVEC to the power given by second SVEC, which must have dimension 1 (a scalar).</span></div>
<div class="line"><a name="l00463"></a><span class="lineno"> 463</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l00464"></a><span class="lineno"> 464</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.svec_pow(MADLIB_SCHEMA.svec,MADLIB_SCHEMA.svec) RETURNS MADLIB_SCHEMA.svec AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span><a class="code" href="svec_8sql__in.html#ab5166565f3482768db33ee677acc3d96">svec_pow</a><span class="stringliteral">&#39; STRICT LANGUAGE C IMMUTABLE; </span></div>
<div class="line"><a name="l00465"></a><span class="lineno"> 465</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00466"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#a612d8920c61e6fdf18dd4e3e9c69c979"> 466</a></span>&#160;<span class="stringliteral">--! Returns true if two SVECs are equal. If the two SVECs are of different size, then will return false.</span></div>
<div class="line"><a name="l00467"></a><span class="lineno"> 467</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l00468"></a><span class="lineno"> 468</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.svec_eq(MADLIB_SCHEMA.svec,MADLIB_SCHEMA.svec) RETURNS boolean AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span><a class="code" href="svec_8sql__in.html#adceeff7e2f2e43b3e17219bca5d4fea0">svec_eq</a><span class="stringliteral">&#39; STRICT LANGUAGE C IMMUTABLE;</span></div>
<div class="line"><a name="l00469"></a><span class="lineno"> 469</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00470"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#a170890a165bf662d343339ffc2a187cf"> 470</a></span>&#160;<span class="stringliteral">--! Returns true if two SVECs are equal, not counting zeros (zero equals anything). If the two SVECs are of different size, then the function essentially zero-pads the shorter one and performs the comparison.</span></div>
<div class="line"><a name="l00471"></a><span class="lineno"> 471</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l00472"></a><span class="lineno"> 472</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.svec_eq_non_zero(MADLIB_SCHEMA.svec,MADLIB_SCHEMA.svec) RETURNS boolean AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span><a class="code" href="svec_8sql__in.html#ab3a1cccd709379973f100e5eb35559d2">svec_eq_non_zero</a><span class="stringliteral">&#39; STRICT LANGUAGE C IMMUTABLE;</span></div>
<div class="line"><a name="l00473"></a><span class="lineno"> 473</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00474"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#aab641f9db3deed5bbfa7e050c531e9c1"> 474</a></span>&#160;<span class="stringliteral">--! Returns true if left svec contains right one, meaning that every non-zero value in the right svec equals left one</span></div>
<div class="line"><a name="l00475"></a><span class="lineno"> 475</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l00476"></a><span class="lineno"> 476</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.svec_contains(MADLIB_SCHEMA.svec,MADLIB_SCHEMA.svec) RETURNS boolean AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span><a class="code" href="svec_8sql__in.html#afdef1c6bf65ffc0e838cf10f33ae5557">svec_contains</a><span class="stringliteral">&#39; STRICT LANGUAGE C IMMUTABLE; </span></div>
<div class="line"><a name="l00477"></a><span class="lineno"> 477</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00478"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#a78a38512c860085e31f6153b8118cbe9"> 478</a></span>&#160;<span class="stringliteral">--! Returns true if two float8 arrays are equal</span></div>
<div class="line"><a name="l00479"></a><span class="lineno"> 479</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l00480"></a><span class="lineno"> 480</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.float8arr_eq(float8[],float8[]) RETURNS boolean AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span>float8arr_equals<span class="stringliteral">&#39; LANGUAGE C IMMUTABLE;</span></div>
<div class="line"><a name="l00481"></a><span class="lineno"> 481</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00482"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#a27f0629942dba2e395b005c728d53ac3"> 482</a></span>&#160;<span class="stringliteral">--! Minus second array from the first array, element by element.</span></div>
<div class="line"><a name="l00483"></a><span class="lineno"> 483</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l00484"></a><span class="lineno"> 484</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.float8arr_minus_float8arr(float8[],float8[]) RETURNS MADLIB_SCHEMA.svec AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span><a class="code" href="svec_8sql__in.html#a4c82ac5de8e026c85e83aae4e0f06220">float8arr_minus_float8arr</a><span class="stringliteral">&#39; LANGUAGE C IMMUTABLE;</span></div>
<div class="line"><a name="l00485"></a><span class="lineno"> 485</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00486"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#ab5166565f3482768db33ee677acc3d96"> 486</a></span>&#160;<span class="stringliteral">--! Minus second SVEC from the first array, element by element.</span></div>
<div class="line"><a name="l00487"></a><span class="lineno"> 487</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l00488"></a><span class="lineno"> 488</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.float8arr_minus_svec(float8[],MADLIB_SCHEMA.svec) RETURNS MADLIB_SCHEMA.svec AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span><a class="code" href="svec_8sql__in.html#a457f2f9210baba1c13820801c42cd06a">float8arr_minus_svec</a><span class="stringliteral">&#39; LANGUAGE C IMMUTABLE;</span></div>
<div class="line"><a name="l00489"></a><span class="lineno"> 489</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00490"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#adceeff7e2f2e43b3e17219bca5d4fea0"> 490</a></span>&#160;<span class="stringliteral">--! Minus second array from the first SVEC, element by element.</span></div>
<div class="line"><a name="l00491"></a><span class="lineno"> 491</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l00492"></a><span class="lineno"> 492</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.svec_minus_float8arr(MADLIB_SCHEMA.svec,float8[]) RETURNS MADLIB_SCHEMA.svec AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span><a class="code" href="svec_8sql__in.html#adf39975fbbd8a39629569c622db33ab9">svec_minus_float8arr</a><span class="stringliteral">&#39; LANGUAGE C IMMUTABLE;</span></div>
<div class="line"><a name="l00493"></a><span class="lineno"> 493</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00494"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#ab3a1cccd709379973f100e5eb35559d2"> 494</a></span>&#160;<span class="stringliteral">--! Adds two arrays together, element by element.</span></div>
<div class="line"><a name="l00495"></a><span class="lineno"> 495</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l00496"></a><span class="lineno"> 496</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.float8arr_plus_float8arr(float8[],float8[]) RETURNS MADLIB_SCHEMA.svec AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span><a class="code" href="svec_8sql__in.html#a6bb068ab6ba775619fe787ed845f5a0d">float8arr_plus_float8arr</a><span class="stringliteral">&#39; LANGUAGE C IMMUTABLE;</span></div>
<div class="line"><a name="l00497"></a><span class="lineno"> 497</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00498"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#afdef1c6bf65ffc0e838cf10f33ae5557"> 498</a></span>&#160;<span class="stringliteral">--! Adds an array and an SVEC, element by element.</span></div>
<div class="line"><a name="l00499"></a><span class="lineno"> 499</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l00500"></a><span class="lineno"> 500</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.float8arr_plus_svec(float8[],MADLIB_SCHEMA.svec) RETURNS MADLIB_SCHEMA.svec AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span><a class="code" href="svec_8sql__in.html#a98aa60ec0c58c828b0a72c75d604322e">float8arr_plus_svec</a><span class="stringliteral">&#39; LANGUAGE C IMMUTABLE;</span></div>
<div class="line"><a name="l00501"></a><span class="lineno"> 501</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00502"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#a0684988340d533c00523951f9a95107e"> 502</a></span>&#160;<span class="stringliteral">--! Adds an SVEC and an array, element by element.</span></div>
<div class="line"><a name="l00503"></a><span class="lineno"> 503</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l00504"></a><span class="lineno"> 504</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.svec_plus_float8arr(MADLIB_SCHEMA.svec,float8[]) RETURNS MADLIB_SCHEMA.svec AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span><a class="code" href="svec_8sql__in.html#aaeb54c952836c83c7f21a1c62a77955f">svec_plus_float8arr</a><span class="stringliteral">&#39; LANGUAGE C IMMUTABLE;</span></div>
<div class="line"><a name="l00505"></a><span class="lineno"> 505</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00506"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#a4c82ac5de8e026c85e83aae4e0f06220"> 506</a></span>&#160;<span class="stringliteral">--! Multiplies two float8 arrays, element by element.</span></div>
<div class="line"><a name="l00507"></a><span class="lineno"> 507</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l00508"></a><span class="lineno"> 508</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.float8arr_mult_float8arr(float8[],float8[]) RETURNS MADLIB_SCHEMA.svec AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span><a class="code" href="svec_8sql__in.html#abb0b3f155c45bb370ef7adac49096835">float8arr_mult_float8arr</a><span class="stringliteral">&#39; LANGUAGE C IMMUTABLE;</span></div>
<div class="line"><a name="l00509"></a><span class="lineno"> 509</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00510"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#a457f2f9210baba1c13820801c42cd06a"> 510</a></span>&#160;<span class="stringliteral">--! Multiplies an array and an SVEC, element by element.</span></div>
<div class="line"><a name="l00511"></a><span class="lineno"> 511</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l00512"></a><span class="lineno"> 512</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.float8arr_mult_svec(float8[],MADLIB_SCHEMA.svec) RETURNS MADLIB_SCHEMA.svec AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span><a class="code" href="svec_8sql__in.html#a0e7dd7a82b41f4b8344efa21208e1637">float8arr_mult_svec</a><span class="stringliteral">&#39; LANGUAGE C IMMUTABLE;</span></div>
<div class="line"><a name="l00513"></a><span class="lineno"> 513</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00514"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#adf39975fbbd8a39629569c622db33ab9"> 514</a></span>&#160;<span class="stringliteral">--! Multiplies an SVEC and an array, element by element.</span></div>
<div class="line"><a name="l00515"></a><span class="lineno"> 515</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l00516"></a><span class="lineno"> 516</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.svec_mult_float8arr(MADLIB_SCHEMA.svec,float8[]) RETURNS MADLIB_SCHEMA.svec AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span><a class="code" href="svec_8sql__in.html#a6e6916baaf0a7ae0079424ce0565c8b4">svec_mult_float8arr</a><span class="stringliteral">&#39; LANGUAGE C IMMUTABLE;</span></div>
<div class="line"><a name="l00517"></a><span class="lineno"> 517</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00518"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#a6bb068ab6ba775619fe787ed845f5a0d"> 518</a></span>&#160;<span class="stringliteral">--! Divides a float8 array by another, element by element.</span></div>
<div class="line"><a name="l00519"></a><span class="lineno"> 519</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l00520"></a><span class="lineno"> 520</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.float8arr_div_float8arr(float8[],float8[]) RETURNS MADLIB_SCHEMA.svec AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span><a class="code" href="svec_8sql__in.html#a20d4a7b907e967351f6439640482e0f9">float8arr_div_float8arr</a><span class="stringliteral">&#39; LANGUAGE C IMMUTABLE;</span></div>
<div class="line"><a name="l00521"></a><span class="lineno"> 521</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00522"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#a98aa60ec0c58c828b0a72c75d604322e"> 522</a></span>&#160;<span class="stringliteral">--! Divides a float8 array by an SVEC, element by element.</span></div>
<div class="line"><a name="l00523"></a><span class="lineno"> 523</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l00524"></a><span class="lineno"> 524</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.float8arr_div_svec(float8[],MADLIB_SCHEMA.svec) RETURNS MADLIB_SCHEMA.svec AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span><a class="code" href="svec_8sql__in.html#a5c4ac1cc9a2ee3057958070b8e7bffcc">float8arr_div_svec</a><span class="stringliteral">&#39; LANGUAGE C IMMUTABLE;</span></div>
<div class="line"><a name="l00525"></a><span class="lineno"> 525</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00526"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#aaeb54c952836c83c7f21a1c62a77955f"> 526</a></span>&#160;<span class="stringliteral">--! Divides an SVEC by a float8 array, element by element.</span></div>
<div class="line"><a name="l00527"></a><span class="lineno"> 527</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l00528"></a><span class="lineno"> 528</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.svec_div_float8arr(MADLIB_SCHEMA.svec,float8[]) RETURNS MADLIB_SCHEMA.svec AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span><a class="code" href="svec_8sql__in.html#a211cf37584f54087dabc1fac14ed12dd">svec_div_float8arr</a><span class="stringliteral">&#39; LANGUAGE C IMMUTABLE;</span></div>
<div class="line"><a name="l00529"></a><span class="lineno"> 529</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00530"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#abb0b3f155c45bb370ef7adac49096835"> 530</a></span>&#160;<span class="stringliteral">--! Computes the dot product of two SVECs.</span></div>
<div class="line"><a name="l00531"></a><span class="lineno"> 531</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l00532"></a><span class="lineno"> 532</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.svec_dot(MADLIB_SCHEMA.svec,MADLIB_SCHEMA.svec) RETURNS float8 AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span><a class="code" href="svec_8sql__in.html#a4eeaf69c84d7ce0e46adc93e38b2b4f3">svec_dot</a><span class="stringliteral">&#39; STRICT LANGUAGE C IMMUTABLE; </span></div>
<div class="line"><a name="l00533"></a><span class="lineno"> 533</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00534"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#a0e7dd7a82b41f4b8344efa21208e1637"> 534</a></span>&#160;<span class="stringliteral">--! Computes the dot product of two float8 arrays.</span></div>
<div class="line"><a name="l00535"></a><span class="lineno"> 535</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l00536"></a><span class="lineno"> 536</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.svec_dot(float8[],float8[]) RETURNS float8 AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span>float8arr_dot<span class="stringliteral">&#39; STRICT LANGUAGE C IMMUTABLE; </span></div>
<div class="line"><a name="l00537"></a><span class="lineno"> 537</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00538"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#a6e6916baaf0a7ae0079424ce0565c8b4"> 538</a></span>&#160;<span class="stringliteral">--! Computes the dot product of an SVEC and a float8 array.</span></div>
<div class="line"><a name="l00539"></a><span class="lineno"> 539</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l00540"></a><span class="lineno"> 540</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.svec_dot(MADLIB_SCHEMA.svec,float8[]) RETURNS float8 AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span>svec_dot_float8arr<span class="stringliteral">&#39; STRICT LANGUAGE C IMMUTABLE; </span></div>
<div class="line"><a name="l00541"></a><span class="lineno"> 541</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00542"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#a20d4a7b907e967351f6439640482e0f9"> 542</a></span>&#160;<span class="stringliteral">--! Computes the dot product of a float8 array and an SVEC.</span></div>
<div class="line"><a name="l00543"></a><span class="lineno"> 543</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l00544"></a><span class="lineno"> 544</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.svec_dot(float8[],MADLIB_SCHEMA.svec) RETURNS float8 AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span>float8arr_dot_svec<span class="stringliteral">&#39; STRICT LANGUAGE C IMMUTABLE; </span></div>
<div class="line"><a name="l00545"></a><span class="lineno"> 545</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00546"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#a5c4ac1cc9a2ee3057958070b8e7bffcc"> 546</a></span>&#160;<span class="stringliteral">--! Computes the l2norm of an SVEC.</span></div>
<div class="line"><a name="l00547"></a><span class="lineno"> 547</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l00548"></a><span class="lineno"> 548</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.svec_l2norm(MADLIB_SCHEMA.svec) RETURNS float8 AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span><a class="code" href="svec_8sql__in.html#a475f0f3e4602e8278b582e099fce2487">svec_l2norm</a><span class="stringliteral">&#39; STRICT LANGUAGE C IMMUTABLE; </span></div>
<div class="line"><a name="l00549"></a><span class="lineno"> 549</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00550"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#a211cf37584f54087dabc1fac14ed12dd"> 550</a></span>&#160;<span class="stringliteral">--! Computes the l2norm of a float8 array.</span></div>
<div class="line"><a name="l00551"></a><span class="lineno"> 551</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l00552"></a><span class="lineno"> 552</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.svec_l2norm(float8[]) RETURNS float8 AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span>float8arr_l2norm<span class="stringliteral">&#39; LANGUAGE C IMMUTABLE;</span></div>
<div class="line"><a name="l00553"></a><span class="lineno"> 553</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00554"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#a4eeaf69c84d7ce0e46adc93e38b2b4f3"> 554</a></span>&#160;<span class="stringliteral">--! Computes the l2norm distance between two SVECs.</span></div>
<div class="line"><a name="l00555"></a><span class="lineno"> 555</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l00556"></a><span class="lineno"> 556</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.l2norm(MADLIB_SCHEMA.svec,MADLIB_SCHEMA.svec) </span></div>
<div class="line"><a name="l00557"></a><span class="lineno"> 557</span>&#160;<span class="stringliteral">RETURNS float8 AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span>svec_svec_l2norm<span class="stringliteral">&#39; LANGUAGE C STRICT IMMUTABLE;</span></div>
<div class="line"><a name="l00558"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#af870f06fd4c51f585515b6306f64fe3b"> 558</a></span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00559"></a><span class="lineno"> 559</span>&#160;<span class="stringliteral">--! Computes the l1norm distance between two SVECs.</span></div>
<div class="line"><a name="l00560"></a><span class="lineno"> 560</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l00561"></a><span class="lineno"> 561</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.l1norm(MADLIB_SCHEMA.svec,MADLIB_SCHEMA.svec) </span></div>
<div class="line"><a name="l00562"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#a93f4a0901681fc11e847615a4aba0255"> 562</a></span>&#160;<span class="stringliteral">RETURNS float8 AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span>svec_svec_l1norm<span class="stringliteral">&#39; LANGUAGE C STRICT IMMUTABLE;</span></div>
<div class="line"><a name="l00563"></a><span class="lineno"> 563</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00564"></a><span class="lineno"> 564</span>&#160;<span class="stringliteral">--! Computes the l1norm of an SVEC.</span></div>
<div class="line"><a name="l00565"></a><span class="lineno"> 565</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l00566"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#a47b111663b39ec8646891edec8ab3925"> 566</a></span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.svec_l1norm(MADLIB_SCHEMA.svec) RETURNS float8 AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span><a class="code" href="svec_8sql__in.html#ae60f7aaa5710c765d08b6c3906e0c9f0">svec_l1norm</a><span class="stringliteral">&#39; STRICT LANGUAGE C IMMUTABLE; </span></div>
<div class="line"><a name="l00567"></a><span class="lineno"> 567</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00568"></a><span class="lineno"> 568</span>&#160;<span class="stringliteral">--! Computes the l1norm of a float8 array.</span></div>
<div class="line"><a name="l00569"></a><span class="lineno"> 569</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l00570"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#a475f0f3e4602e8278b582e099fce2487"> 570</a></span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.svec_l1norm(float8[]) RETURNS float8 AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span>float8arr_l1norm<span class="stringliteral">&#39; STRICT LANGUAGE C IMMUTABLE; </span></div>
<div class="line"><a name="l00571"></a><span class="lineno"> 571</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00572"></a><span class="lineno"> 572</span>&#160;<span class="stringliteral">--! Computes the angle between two SVECs in radians.</span></div>
<div class="line"><a name="l00573"></a><span class="lineno"> 573</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l00574"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#a536fbd3c596af5ea8ddfa2a3ca3e141c"> 574</a></span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.angle(MADLIB_SCHEMA.svec,MADLIB_SCHEMA.svec) </span></div>
<div class="line"><a name="l00575"></a><span class="lineno"> 575</span>&#160;<span class="stringliteral">RETURNS float8 AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span>svec_svec_angle<span class="stringliteral">&#39; LANGUAGE C STRICT IMMUTABLE;</span></div>
<div class="line"><a name="l00576"></a><span class="lineno"> 576</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00577"></a><span class="lineno"> 577</span>&#160;<span class="stringliteral">--! Computes the Tanimoto distance between two SVECs.</span></div>
<div class="line"><a name="l00578"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#a1b6bb42a5176b020aed12734df23aca9"> 578</a></span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l00579"></a><span class="lineno"> 579</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.tanimoto_distance(MADLIB_SCHEMA.svec,MADLIB_SCHEMA.svec) </span></div>
<div class="line"><a name="l00580"></a><span class="lineno"> 580</span>&#160;<span class="stringliteral">RETURNS float8 AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span>svec_svec_tanimoto_distance<span class="stringliteral">&#39; LANGUAGE C STRICT IMMUTABLE;</span></div>
<div class="line"><a name="l00581"></a><span class="lineno"> 581</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00582"></a><span class="lineno"> 582</span>&#160;<span class="stringliteral">--! Unnests an SVEC into a table of uncompressed values </span></div>
<div class="line"><a name="l00583"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#a9e9b64c93b29c19adfb670f0171f14bf"> 583</a></span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l00584"></a><span class="lineno"> 584</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.svec_unnest(MADLIB_SCHEMA.svec) RETURNS setof float8 AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span><a class="code" href="svec_8sql__in.html#a87b45a983da4066fa7f35b17ccecf699">svec_unnest</a><span class="stringliteral">&#39; LANGUAGE C IMMUTABLE; </span></div>
<div class="line"><a name="l00585"></a><span class="lineno"> 585</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00586"></a><span class="lineno"> 586</span>&#160;<span class="stringliteral">--! Appends an element to the back of an SVEC.</span></div>
<div class="line"><a name="l00587"></a><span class="lineno"> 587</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l00588"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#ae60f7aaa5710c765d08b6c3906e0c9f0"> 588</a></span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.svec_pivot(MADLIB_SCHEMA.svec,float8) RETURNS MADLIB_SCHEMA.svec AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span><a class="code" href="svec_8sql__in.html#a929bde3bc91b67300d9d370b6a1495f1">svec_pivot</a><span class="stringliteral">&#39; LANGUAGE C IMMUTABLE; </span></div>
<div class="line"><a name="l00589"></a><span class="lineno"> 589</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00590"></a><span class="lineno"> 590</span>&#160;<span class="stringliteral">--! Sums the elements of an SVEC.</span></div>
<div class="line"><a name="l00591"></a><span class="lineno"> 591</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l00592"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#ae5ac6f098519439b76e03091022c9508"> 592</a></span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.svec_elsum(MADLIB_SCHEMA.svec) RETURNS float8 AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span>svec_summate<span class="stringliteral">&#39; STRICT LANGUAGE C IMMUTABLE; </span></div>
<div class="line"><a name="l00593"></a><span class="lineno"> 593</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00594"></a><span class="lineno"> 594</span>&#160;<span class="stringliteral">--! Sums the elements of a float8 array.</span></div>
<div class="line"><a name="l00595"></a><span class="lineno"> 595</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l00596"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#a7e395ee71f6cf05afa76d89a72d45bec"> 596</a></span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.svec_elsum(float8[]) RETURNS float8 AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span>float8arr_summate<span class="stringliteral">&#39; STRICT LANGUAGE C IMMUTABLE; </span></div>
<div class="line"><a name="l00597"></a><span class="lineno"> 597</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00598"></a><span class="lineno"> 598</span>&#160;<span class="stringliteral">--! Computes the median element of a float8 array.</span></div>
<div class="line"><a name="l00599"></a><span class="lineno"> 599</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l00600"></a><span class="lineno"> 600</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.svec_median(float8[]) RETURNS float8 AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span>float8arr_median<span class="stringliteral">&#39; STRICT LANGUAGE C IMMUTABLE; </span></div>
<div class="line"><a name="l00601"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#a98222e58bc519865a26643a61611b717"> 601</a></span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00602"></a><span class="lineno"> 602</span>&#160;<span class="stringliteral">--! Computes the median element of an SVEC.</span></div>
<div class="line"><a name="l00603"></a><span class="lineno"> 603</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l00604"></a><span class="lineno"> 604</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.svec_median(MADLIB_SCHEMA.svec) RETURNS float8 AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span><a class="code" href="svec_8sql__in.html#a2284a118fe03465203ecea8c34acefa5">svec_median</a><span class="stringliteral">&#39; STRICT LANGUAGE C IMMUTABLE; </span></div>
<div class="line"><a name="l00605"></a><span class="lineno"> 605</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00606"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#a87b45a983da4066fa7f35b17ccecf699"> 606</a></span>&#160;<span class="stringliteral">--! Compares an SVEC to a float8, and returns positions of all elements not equal to the float as an array. Element index here starts at 0.</span></div>
<div class="line"><a name="l00607"></a><span class="lineno"> 607</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l00608"></a><span class="lineno"> 608</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.svec_nonbase_positions(MADLIB_SCHEMA.svec, FLOAT8) RETURNS INT8[] AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span><a class="code" href="svec_8sql__in.html#a5bc053a080fb38601ad91045dc3ffe74">svec_nonbase_positions</a><span class="stringliteral">&#39; STRICT LANGUAGE C IMMUTABLE;</span></div>
<div class="line"><a name="l00609"></a><span class="lineno"> 609</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00610"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#a929bde3bc91b67300d9d370b6a1495f1"> 610</a></span>&#160;<span class="stringliteral">--! Compares an SVEC to a float8, and returns values of all elements not equal to the float as an array.</span></div>
<div class="line"><a name="l00611"></a><span class="lineno"> 611</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l00612"></a><span class="lineno"> 612</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.svec_nonbase_values(MADLIB_SCHEMA.svec, FLOAT8) RETURNS FLOAT8[] AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span><a class="code" href="svec_8sql__in.html#a076dcbc0a278bb3b5161b0db2ad8fa44">svec_nonbase_values</a><span class="stringliteral">&#39; STRICT LANGUAGE C IMMUTABLE; </span></div>
<div class="line"><a name="l00613"></a><span class="lineno"> 613</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00614"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#a00a7b3260b9fde9b55061e6bf58a028a"> 614</a></span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00615"></a><span class="lineno"> 615</span>&#160;<span class="stringliteral">--! Casts an int2 into an SVEC.</span></div>
<div class="line"><a name="l00616"></a><span class="lineno"> 616</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l00617"></a><span class="lineno"> 617</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.svec_cast_int2(int2) RETURNS MADLIB_SCHEMA.svec AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span><a class="code" href="svec_8sql__in.html#af69458bf9b2906ca471d027966b13e6f">svec_cast_int2</a><span class="stringliteral">&#39; STRICT LANGUAGE C IMMUTABLE; </span></div>
<div class="line"><a name="l00618"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#afb2076f09f00e512a62c06d4d33e5922"> 618</a></span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00619"></a><span class="lineno"> 619</span>&#160;<span class="stringliteral">--! Casts an int4 into an SVEC.</span></div>
<div class="line"><a name="l00620"></a><span class="lineno"> 620</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l00621"></a><span class="lineno"> 621</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.svec_cast_int4(int4) RETURNS MADLIB_SCHEMA.svec AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span><a class="code" href="svec_8sql__in.html#abc01ac6b36ea9d689d338fd72abbd540">svec_cast_int4</a><span class="stringliteral">&#39; STRICT LANGUAGE C IMMUTABLE; </span></div>
<div class="line"><a name="l00622"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#a2284a118fe03465203ecea8c34acefa5"> 622</a></span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00623"></a><span class="lineno"> 623</span>&#160;<span class="stringliteral">--! Casts an int8 into an SVEC.</span></div>
<div class="line"><a name="l00624"></a><span class="lineno"> 624</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l00625"></a><span class="lineno"> 625</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.svec_cast_int8(bigint) RETURNS MADLIB_SCHEMA.svec AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span><a class="code" href="svec_8sql__in.html#a9ea167c01fb2999dc5aaf5e8e21f5e8f">svec_cast_int8</a><span class="stringliteral">&#39; STRICT LANGUAGE C IMMUTABLE; </span></div>
<div class="line"><a name="l00626"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#af9950e9ce4770738f2ce368d8124f142"> 626</a></span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00627"></a><span class="lineno"> 627</span>&#160;<span class="stringliteral">--! Casts a float4 into an SVEC.</span></div>
<div class="line"><a name="l00628"></a><span class="lineno"> 628</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l00629"></a><span class="lineno"> 629</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.svec_cast_float4(float4) RETURNS MADLIB_SCHEMA.svec AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span><a class="code" href="svec_8sql__in.html#a1f1025124d5423cc1505991414f17582">svec_cast_float4</a><span class="stringliteral">&#39; STRICT LANGUAGE C IMMUTABLE; </span></div>
<div class="line"><a name="l00630"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#a5bc053a080fb38601ad91045dc3ffe74"> 630</a></span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00631"></a><span class="lineno"> 631</span>&#160;<span class="stringliteral">--! Casts a float8 into an SVEC.</span></div>
<div class="line"><a name="l00632"></a><span class="lineno"> 632</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l00633"></a><span class="lineno"> 633</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.svec_cast_float8(float8) RETURNS MADLIB_SCHEMA.svec AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span><a class="code" href="svec_8sql__in.html#af42e4b15879949032a68139c59443aac">svec_cast_float8</a><span class="stringliteral">&#39; STRICT LANGUAGE C IMMUTABLE; </span></div>
<div class="line"><a name="l00634"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#a076dcbc0a278bb3b5161b0db2ad8fa44"> 634</a></span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00635"></a><span class="lineno"> 635</span>&#160;<span class="stringliteral">--! Casts a numeric into an SVEC.</span></div>
<div class="line"><a name="l00636"></a><span class="lineno"> 636</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l00637"></a><span class="lineno"> 637</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.svec_cast_numeric(numeric) RETURNS MADLIB_SCHEMA.svec AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span><a class="code" href="svec_8sql__in.html#a50de0278ff7ceeff33a2ea4ca5fdf1a0">svec_cast_numeric</a><span class="stringliteral">&#39; STRICT LANGUAGE C IMMUTABLE; </span></div>
<div class="line"><a name="l00638"></a><span class="lineno"> 638</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00639"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#af69458bf9b2906ca471d027966b13e6f"> 639</a></span>&#160;<span class="stringliteral">--! Casts an int2 into a float8 array.</span></div>
<div class="line"><a name="l00640"></a><span class="lineno"> 640</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l00641"></a><span class="lineno"> 641</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.float8arr_cast_int2(int2) RETURNS float8[] AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span><a class="code" href="svec_8sql__in.html#a5e38a27f556a6ac88549efec37da786f">float8arr_cast_int2</a><span class="stringliteral">&#39; STRICT LANGUAGE C IMMUTABLE; </span></div>
<div class="line"><a name="l00642"></a><span class="lineno"> 642</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00643"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#abc01ac6b36ea9d689d338fd72abbd540"> 643</a></span>&#160;<span class="stringliteral">--! Casts an int4 into a float8 array.</span></div>
<div class="line"><a name="l00644"></a><span class="lineno"> 644</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l00645"></a><span class="lineno"> 645</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.float8arr_cast_int4(int4) RETURNS float8[] AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span><a class="code" href="svec_8sql__in.html#a9c05d02233680a2e96dc6058155e4483">float8arr_cast_int4</a><span class="stringliteral">&#39; STRICT LANGUAGE C IMMUTABLE; </span></div>
<div class="line"><a name="l00646"></a><span class="lineno"> 646</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00647"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#a9ea167c01fb2999dc5aaf5e8e21f5e8f"> 647</a></span>&#160;<span class="stringliteral">--! Casts an int8 into a float8 array.</span></div>
<div class="line"><a name="l00648"></a><span class="lineno"> 648</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l00649"></a><span class="lineno"> 649</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.float8arr_cast_int8(bigint) RETURNS float8[] AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span><a class="code" href="svec_8sql__in.html#a4862b4e281323db16e9be4dfd681db2e">float8arr_cast_int8</a><span class="stringliteral">&#39; STRICT LANGUAGE C IMMUTABLE; </span></div>
<div class="line"><a name="l00650"></a><span class="lineno"> 650</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00651"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#a1f1025124d5423cc1505991414f17582"> 651</a></span>&#160;<span class="stringliteral">--! Casts a float4 into a float8 array.</span></div>
<div class="line"><a name="l00652"></a><span class="lineno"> 652</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l00653"></a><span class="lineno"> 653</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.float8arr_cast_float4(float4) RETURNS float8[] AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span><a class="code" href="svec_8sql__in.html#a2a6e17fd9dafc349c7cfa070486e6ad1">float8arr_cast_float4</a><span class="stringliteral">&#39; STRICT LANGUAGE C IMMUTABLE; </span></div>
<div class="line"><a name="l00654"></a><span class="lineno"> 654</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00655"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#af42e4b15879949032a68139c59443aac"> 655</a></span>&#160;<span class="stringliteral">--! Casts a float8 into a float8 array.</span></div>
<div class="line"><a name="l00656"></a><span class="lineno"> 656</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l00657"></a><span class="lineno"> 657</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.float8arr_cast_float8(float8) RETURNS float8[] AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span><a class="code" href="svec_8sql__in.html#af8db439cf1a73749052f06fc30c7d282">float8arr_cast_float8</a><span class="stringliteral">&#39; STRICT LANGUAGE C IMMUTABLE; </span></div>
<div class="line"><a name="l00658"></a><span class="lineno"> 658</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00659"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#a50de0278ff7ceeff33a2ea4ca5fdf1a0"> 659</a></span>&#160;<span class="stringliteral">--! Casts a numeric into a float8 array.</span></div>
<div class="line"><a name="l00660"></a><span class="lineno"> 660</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l00661"></a><span class="lineno"> 661</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.float8arr_cast_numeric(numeric) RETURNS float8[] AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span><a class="code" href="svec_8sql__in.html#a0bc8ef7e7b8e37b784c81a940bd817f0">float8arr_cast_numeric</a><span class="stringliteral">&#39; STRICT LANGUAGE C IMMUTABLE; </span></div>
<div class="line"><a name="l00662"></a><span class="lineno"> 662</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00663"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#a5e38a27f556a6ac88549efec37da786f"> 663</a></span>&#160;<span class="stringliteral">--! Casts a float8 into an SVEC.</span></div>
<div class="line"><a name="l00664"></a><span class="lineno"> 664</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l00665"></a><span class="lineno"> 665</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.svec_cast_float8arr(float8[]) RETURNS MADLIB_SCHEMA.svec AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span><a class="code" href="svec_8sql__in.html#a96025250e64f049a053c5696b3b96e02">svec_cast_float8arr</a><span class="stringliteral">&#39; STRICT LANGUAGE C IMMUTABLE; </span></div>
<div class="line"><a name="l00666"></a><span class="lineno"> 666</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00667"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#a9c05d02233680a2e96dc6058155e4483"> 667</a></span>&#160;<span class="stringliteral">--! Casts an array of int8 positions, float8 values into an SVEC.</span></div>
<div class="line"><a name="l00668"></a><span class="lineno"> 668</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l00669"></a><span class="lineno"> 669</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.svec_cast_positions_float8arr(int8[],float8[],int8,float8) RETURNS MADLIB_SCHEMA.svec AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span><a class="code" href="svec_8sql__in.html#a0ee423729fbca5abd46c86fa81d51f23">svec_cast_positions_float8arr</a><span class="stringliteral">&#39; STRICT LANGUAGE C IMMUTABLE;</span></div>
<div class="line"><a name="l00670"></a><span class="lineno"> 670</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00671"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#a4862b4e281323db16e9be4dfd681db2e"> 671</a></span>&#160;<span class="stringliteral">--! Casts an SVEC into a float8 array.</span></div>
<div class="line"><a name="l00672"></a><span class="lineno"> 672</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l00673"></a><span class="lineno"> 673</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.svec_return_array(MADLIB_SCHEMA.svec) RETURNS float8[] AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span><a class="code" href="svec_8sql__in.html#a7decda276d7ff1e9340dd44e0e7419c0">svec_return_array</a><span class="stringliteral">&#39; LANGUAGE C IMMUTABLE; </span></div>
<div class="line"><a name="l00674"></a><span class="lineno"> 674</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00675"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#a2a6e17fd9dafc349c7cfa070486e6ad1"> 675</a></span>&#160;<span class="stringliteral">--! Concatenates two SVECs.</span></div>
<div class="line"><a name="l00676"></a><span class="lineno"> 676</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l00677"></a><span class="lineno"> 677</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.svec_concat(MADLIB_SCHEMA.svec,MADLIB_SCHEMA.svec) RETURNS MADLIB_SCHEMA.svec AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span><a class="code" href="svec_8sql__in.html#a24f184bef083fd9068c28fc94dad8054">svec_concat</a><span class="stringliteral">&#39; LANGUAGE C IMMUTABLE; </span></div>
<div class="line"><a name="l00678"></a><span class="lineno"> 678</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00679"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#af8db439cf1a73749052f06fc30c7d282"> 679</a></span>&#160;<span class="stringliteral">--! Replicates n copies of an SVEC and concatenates them together.</span></div>
<div class="line"><a name="l00680"></a><span class="lineno"> 680</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l00681"></a><span class="lineno"> 681</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.svec_concat_replicate(int4,MADLIB_SCHEMA.svec) RETURNS MADLIB_SCHEMA.svec AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span><a class="code" href="svec_8sql__in.html#a34cb5f83e0c010aacc719b8b078bfeb9">svec_concat_replicate</a><span class="stringliteral">&#39; LANGUAGE C IMMUTABLE; </span></div>
<div class="line"><a name="l00682"></a><span class="lineno"> 682</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00683"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#a0bc8ef7e7b8e37b784c81a940bd817f0"> 683</a></span>&#160;<span class="stringliteral">--! Returns the dimension of an SVEC.</span></div>
<div class="line"><a name="l00684"></a><span class="lineno"> 684</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l00685"></a><span class="lineno"> 685</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.svec_dimension(MADLIB_SCHEMA.svec) RETURNS integer AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span><a class="code" href="svec_8sql__in.html#ab8d1acbe4e8551755fef217b506bed8a">svec_dimension</a><span class="stringliteral">&#39; LANGUAGE C IMMUTABLE; </span></div>
<div class="line"><a name="l00686"></a><span class="lineno"> 686</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00687"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#a96025250e64f049a053c5696b3b96e02"> 687</a></span>&#160;<span class="stringliteral">--! Applies a given function to each element of an SVEC.</span></div>
<div class="line"><a name="l00688"></a><span class="lineno"> 688</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l00689"></a><span class="lineno"> 689</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.svec_lapply(text,MADLIB_SCHEMA.svec) RETURNS MADLIB_SCHEMA.svec AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span><a class="code" href="svec_8sql__in.html#a0d94c44dde95a00e3d802dee6d7c01eb">svec_lapply</a><span class="stringliteral">&#39; LANGUAGE C IMMUTABLE;</span></div>
<div class="line"><a name="l00690"></a><span class="lineno"> 690</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00691"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#a0ee423729fbca5abd46c86fa81d51f23"> 691</a></span>&#160;<span class="stringliteral">--! Appends a run-length block to the back of an SVEC.</span></div>
<div class="line"><a name="l00692"></a><span class="lineno"> 692</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l00693"></a><span class="lineno"> 693</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.svec_append(MADLIB_SCHEMA.svec,float8,int8) RETURNS MADLIB_SCHEMA.svec AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span><a class="code" href="svec_8sql__in.html#a3950b17b103ceeddca520a0f0d097ddc">svec_append</a><span class="stringliteral">&#39; LANGUAGE C IMMUTABLE;</span></div>
<div class="line"><a name="l00694"></a><span class="lineno"> 694</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00695"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#a7decda276d7ff1e9340dd44e0e7419c0"> 695</a></span>&#160;<span class="stringliteral">--! Projects onto an element of an SVEC.</span></div>
<div class="line"><a name="l00696"></a><span class="lineno"> 696</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l00697"></a><span class="lineno"> 697</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.svec_proj(MADLIB_SCHEMA.svec,int4) RETURNS float8 AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span><a class="code" href="svec_8sql__in.html#a8787222aec691f94d9808d1369aa401c">svec_proj</a><span class="stringliteral">&#39; LANGUAGE C IMMUTABLE;</span></div>
<div class="line"><a name="l00698"></a><span class="lineno"> 698</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00699"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#a24f184bef083fd9068c28fc94dad8054"> 699</a></span>&#160;<span class="stringliteral">--! Extracts a subvector of an SVEC given the subvector&#39;</span>s start and end indices.</div>
<div class="line"><a name="l00700"></a><span class="lineno"> 700</span>&#160;--!</div>
<div class="line"><a name="l00701"></a><span class="lineno"> 701</span>&#160;CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.svec_subvec(MADLIB_SCHEMA.svec,int4,int4) RETURNS MADLIB_SCHEMA.svec AS <span class="stringliteral">&#39;MODULE_PATHNAME&#39;</span>, <span class="stringliteral">&#39;svec_subvec&#39;</span> LANGUAGE C IMMUTABLE;</div>
<div class="line"><a name="l00702"></a><span class="lineno"> 702</span>&#160;</div>
<div class="line"><a name="l00703"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#a34cb5f83e0c010aacc719b8b078bfeb9"> 703</a></span>&#160;--! Reverses the elements of an SVEC.</div>
<div class="line"><a name="l00704"></a><span class="lineno"> 704</span>&#160;--!</div>
<div class="line"><a name="l00705"></a><span class="lineno"> 705</span>&#160;CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.svec_reverse(MADLIB_SCHEMA.svec) RETURNS MADLIB_SCHEMA.svec AS <span class="stringliteral">&#39;MODULE_PATHNAME&#39;</span>, <span class="stringliteral">&#39;svec_reverse&#39;</span> LANGUAGE C IMMUTABLE;</div>
<div class="line"><a name="l00706"></a><span class="lineno"> 706</span>&#160;</div>
<div class="line"><a name="l00707"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#ab8d1acbe4e8551755fef217b506bed8a"> 707</a></span>&#160;--! Replaces the subvector of a given SVEC at a given start index with another SVEC. Note that element index should start at 1.</div>
<div class="line"><a name="l00708"></a><span class="lineno"> 708</span>&#160;--!</div>
<div class="line"><a name="l00709"></a><span class="lineno"> 709</span>&#160;CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.svec_change(MADLIB_SCHEMA.svec,int4,MADLIB_SCHEMA.svec) RETURNS MADLIB_SCHEMA.svec AS <span class="stringliteral">&#39;MODULE_PATHNAME&#39;</span>, <span class="stringliteral">&#39;svec_change&#39;</span> LANGUAGE C IMMUTABLE;</div>
<div class="line"><a name="l00710"></a><span class="lineno"> 710</span>&#160;</div>
<div class="line"><a name="l00711"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#a0d94c44dde95a00e3d802dee6d7c01eb"> 711</a></span>&#160;--! Computes the hash of an SVEC.</div>
<div class="line"><a name="l00712"></a><span class="lineno"> 712</span>&#160;--!</div>
<div class="line"><a name="l00713"></a><span class="lineno"> 713</span>&#160;CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.svec_hash(MADLIB_SCHEMA.svec) RETURNS int4 AS <span class="stringliteral">&#39;MODULE_PATHNAME&#39;</span>, <span class="stringliteral">&#39;svec_hash&#39;</span> STRICT LANGUAGE C IMMUTABLE; </div>
<div class="line"><a name="l00714"></a><span class="lineno"> 714</span>&#160;</div>
<div class="line"><a name="l00715"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#a3950b17b103ceeddca520a0f0d097ddc"> 715</a></span>&#160;--! Computes the word-occurence vector of a document</div>
<div class="line"><a name="l00716"></a><span class="lineno"> 716</span>&#160;--!</div>
<div class="line"><a name="l00717"></a><span class="lineno"> 717</span>&#160;CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.svec_sfv(text[], text[]) RETURNS MADLIB_SCHEMA.svec AS</div>
<div class="line"><a name="l00718"></a><span class="lineno"> 718</span>&#160;<span class="stringliteral">&#39;MODULE_PATHNAME&#39;</span>, <span class="stringliteral">&#39;gp_extract_feature_histogram&#39;</span> LANGUAGE C IMMUTABLE;</div>
<div class="line"><a name="l00719"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#a8787222aec691f94d9808d1369aa401c"> 719</a></span>&#160;</div>
<div class="line"><a name="l00720"></a><span class="lineno"> 720</span>&#160;--! Sorts an array of texts. This <span class="keyword">function</span> should be in MADlib common.</div>
<div class="line"><a name="l00721"></a><span class="lineno"> 721</span>&#160;--!</div>
<div class="line"><a name="l00722"></a><span class="lineno"> 722</span>&#160;CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.svec_sort(text[]) RETURNS text[] AS $$</div>
<div class="line"><a name="l00723"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#a5cb3446de5fc117befe88ccb1ebb0e4e"> 723</a></span>&#160; SELECT array(SELECT unnest($1::text[]) ORDER BY 1);</div>
<div class="line"><a name="l00724"></a><span class="lineno"> 724</span>&#160;$$ LANGUAGE SQL;</div>
<div class="line"><a name="l00725"></a><span class="lineno"> 725</span>&#160;</div>
<div class="line"><a name="l00726"></a><span class="lineno"> 726</span>&#160;--! Converts an svec to a text <span class="keywordtype">string</span></div>
<div class="line"><a name="l00727"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#a4a221435ca91b6fa45114e689ee96010"> 727</a></span>&#160;--!</div>
<div class="line"><a name="l00728"></a><span class="lineno"> 728</span>&#160;CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.svec_to_string(MADLIB_SCHEMA.svec) </div>
<div class="line"><a name="l00729"></a><span class="lineno"> 729</span>&#160;RETURNS text AS <span class="stringliteral">&#39;MODULE_PATHNAME&#39;</span>, <span class="stringliteral">&#39;svec_to_string&#39;</span> STRICT LANGUAGE C IMMUTABLE;</div>
<div class="line"><a name="l00730"></a><span class="lineno"> 730</span>&#160;</div>
<div class="line"><a name="l00731"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#a59407764a1cbf1937da39cf39a2f447c"> 731</a></span>&#160;--! Converts a text <span class="keywordtype">string</span> to an svec</div>
<div class="line"><a name="l00732"></a><span class="lineno"> 732</span>&#160;--!</div>
<div class="line"><a name="l00733"></a><span class="lineno"> 733</span>&#160;CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.svec_from_string(text) </div>
<div class="line"><a name="l00734"></a><span class="lineno"> 734</span>&#160;RETURNS MADLIB_SCHEMA.svec AS <span class="stringliteral">&#39;MODULE_PATHNAME&#39;</span>, <span class="stringliteral">&#39;svec_from_string&#39;</span> STRICT LANGUAGE C IMMUTABLE;</div>
<div class="line"><a name="l00735"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#a0bfa8f8d083282bc9e8caf6f03bb5251"> 735</a></span>&#160;</div>
<div class="line"><a name="l00736"></a><span class="lineno"> 736</span>&#160;</div>
<div class="line"><a name="l00737"></a><span class="lineno"> 737</span>&#160;<span class="comment">/*</span></div>
<div class="line"><a name="l00738"></a><span class="lineno"> 738</span>&#160;<span class="comment">DROP OPERATOR IF EXISTS || ( MADLIB_SCHEMA.svec, MADLIB_SCHEMA.svec);</span></div>
<div class="line"><a name="l00739"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#a375acd521ed9cb05f63b3696dcc10bf4"> 739</a></span>&#160;<span class="comment">DROP OPERATOR IF EXISTS - ( MADLIB_SCHEMA.svec, MADLIB_SCHEMA.svec);</span></div>
<div class="line"><a name="l00740"></a><span class="lineno"> 740</span>&#160;<span class="comment">DROP OPERATOR IF EXISTS + ( MADLIB_SCHEMA.svec, MADLIB_SCHEMA.svec);</span></div>
<div class="line"><a name="l00741"></a><span class="lineno"> 741</span>&#160;<span class="comment">DROP OPERATOR IF EXISTS / ( MADLIB_SCHEMA.svec, MADLIB_SCHEMA.svec);</span></div>
<div class="line"><a name="l00742"></a><span class="lineno"> 742</span>&#160;<span class="comment">DROP OPERATOR IF EXISTS %*% ( MADLIB_SCHEMA.svec, MADLIB_SCHEMA.svec);</span></div>
<div class="line"><a name="l00743"></a><span class="lineno"> 743</span>&#160;<span class="comment">DROP OPERATOR IF EXISTS * ( MADLIB_SCHEMA.svec, MADLIB_SCHEMA.svec);</span></div>
<div class="line"><a name="l00744"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#a91c23a7ce58932f48f5ab3579ea0309e"> 744</a></span>&#160;<span class="comment">DROP OPERATOR IF EXISTS ^ ( MADLIB_SCHEMA.svec, MADLIB_SCHEMA.svec);</span></div>
<div class="line"><a name="l00745"></a><span class="lineno"> 745</span>&#160;<span class="comment">*/</span></div>
<div class="line"><a name="l00746"></a><span class="lineno"> 746</span>&#160;</div>
<div class="line"><a name="l00747"></a><span class="lineno"> 747</span>&#160;CREATE OPERATOR MADLIB_SCHEMA.|| (</div>
<div class="line"><a name="l00748"></a><span class="lineno"> 748</span>&#160; LEFTARG = MADLIB_SCHEMA.svec,</div>
<div class="line"><a name="l00749"></a><span class="lineno"> 749</span>&#160; RIGHTARG = MADLIB_SCHEMA.svec,</div>
<div class="line"><a name="l00750"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#a1de746ebd23530e72ba4f031ac41d155"> 750</a></span>&#160; PROCEDURE = MADLIB_SCHEMA.svec_concat</div>
<div class="line"><a name="l00751"></a><span class="lineno"> 751</span>&#160;);</div>
<div class="line"><a name="l00752"></a><span class="lineno"> 752</span>&#160;</div>
<div class="line"><a name="l00753"></a><span class="lineno"> 753</span>&#160;CREATE OPERATOR MADLIB_SCHEMA.- (</div>
<div class="line"><a name="l00754"></a><span class="lineno"> 754</span>&#160; LEFTARG = MADLIB_SCHEMA.svec,</div>
<div class="line"><a name="l00755"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#a1f5e8911574cf30cc979478040bd3262"> 755</a></span>&#160; RIGHTARG = MADLIB_SCHEMA.svec,</div>
<div class="line"><a name="l00756"></a><span class="lineno"> 756</span>&#160; PROCEDURE = MADLIB_SCHEMA.svec_minus</div>
<div class="line"><a name="l00757"></a><span class="lineno"> 757</span>&#160;);</div>
<div class="line"><a name="l00758"></a><span class="lineno"> 758</span>&#160;CREATE OPERATOR MADLIB_SCHEMA.+ (</div>
<div class="line"><a name="l00759"></a><span class="lineno"> 759</span>&#160; LEFTARG = MADLIB_SCHEMA.svec,</div>
<div class="line"><a name="l00760"></a><span class="lineno"> 760</span>&#160; RIGHTARG = MADLIB_SCHEMA.svec,</div>
<div class="line"><a name="l00761"></a><span class="lineno"> 761</span>&#160; PROCEDURE = MADLIB_SCHEMA.svec_plus</div>
<div class="line"><a name="l00762"></a><span class="lineno"> 762</span>&#160;);</div>
<div class="line"><a name="l00763"></a><span class="lineno"> 763</span>&#160;CREATE OPERATOR MADLIB_SCHEMA./ (</div>
<div class="line"><a name="l00764"></a><span class="lineno"> 764</span>&#160; LEFTARG = MADLIB_SCHEMA.svec,</div>
<div class="line"><a name="l00765"></a><span class="lineno"> 765</span>&#160; RIGHTARG = MADLIB_SCHEMA.svec,</div>
<div class="line"><a name="l00766"></a><span class="lineno"> 766</span>&#160; PROCEDURE = MADLIB_SCHEMA.svec_div</div>
<div class="line"><a name="l00767"></a><span class="lineno"> 767</span>&#160;);</div>
<div class="line"><a name="l00768"></a><span class="lineno"> 768</span>&#160;CREATE OPERATOR MADLIB_SCHEMA.%*% (</div>
<div class="line"><a name="l00769"></a><span class="lineno"> 769</span>&#160; LEFTARG = MADLIB_SCHEMA.svec,</div>
<div class="line"><a name="l00770"></a><span class="lineno"> 770</span>&#160; RIGHTARG = MADLIB_SCHEMA.svec,</div>
<div class="line"><a name="l00771"></a><span class="lineno"> 771</span>&#160; PROCEDURE = MADLIB_SCHEMA.svec_dot</div>
<div class="line"><a name="l00772"></a><span class="lineno"> 772</span>&#160;);</div>
<div class="line"><a name="l00773"></a><span class="lineno"> 773</span>&#160;CREATE OPERATOR MADLIB_SCHEMA.* (</div>
<div class="line"><a name="l00774"></a><span class="lineno"> 774</span>&#160; LEFTARG = MADLIB_SCHEMA.svec,</div>
<div class="line"><a name="l00775"></a><span class="lineno"> 775</span>&#160; RIGHTARG = MADLIB_SCHEMA.svec,</div>
<div class="line"><a name="l00776"></a><span class="lineno"> 776</span>&#160; PROCEDURE = MADLIB_SCHEMA.svec_mult</div>
<div class="line"><a name="l00777"></a><span class="lineno"> 777</span>&#160;);</div>
<div class="line"><a name="l00778"></a><span class="lineno"> 778</span>&#160;CREATE OPERATOR MADLIB_SCHEMA.^ (</div>
<div class="line"><a name="l00779"></a><span class="lineno"> 779</span>&#160; LEFTARG = MADLIB_SCHEMA.svec,</div>
<div class="line"><a name="l00780"></a><span class="lineno"> 780</span>&#160; RIGHTARG = MADLIB_SCHEMA.svec,</div>
<div class="line"><a name="l00781"></a><span class="lineno"> 781</span>&#160; PROCEDURE = MADLIB_SCHEMA.svec_pow</div>
<div class="line"><a name="l00782"></a><span class="lineno"> 782</span>&#160;);</div>
<div class="line"><a name="l00783"></a><span class="lineno"> 783</span>&#160;</div>
<div class="line"><a name="l00784"></a><span class="lineno"> 784</span>&#160;-- float8[] operators</div>
<div class="line"><a name="l00785"></a><span class="lineno"> 785</span>&#160;-- DROP OPERATOR IF EXISTS = ( float8[], float8[]);</div>
<div class="line"><a name="l00786"></a><span class="lineno"> 786</span>&#160;<span class="comment">/*</span></div>
<div class="line"><a name="l00787"></a><span class="lineno"> 787</span>&#160;<span class="comment">DROP OPERATOR IF EXISTS %*% ( float8[], MADLIB_SCHEMA.svec);</span></div>
<div class="line"><a name="l00788"></a><span class="lineno"> 788</span>&#160;<span class="comment">DROP OPERATOR IF EXISTS %*% ( MADLIB_SCHEMA.svec, float8[]);</span></div>
<div class="line"><a name="l00789"></a><span class="lineno"> 789</span>&#160;<span class="comment">DROP OPERATOR IF EXISTS %*% ( float8[], float8[]);</span></div>
<div class="line"><a name="l00790"></a><span class="lineno"> 790</span>&#160;<span class="comment">DROP OPERATOR IF EXISTS - ( float8[], float8[]);</span></div>
<div class="line"><a name="l00791"></a><span class="lineno"> 791</span>&#160;<span class="comment">DROP OPERATOR IF EXISTS + ( float8[], float8[]);</span></div>
<div class="line"><a name="l00792"></a><span class="lineno"> 792</span>&#160;<span class="comment">DROP OPERATOR IF EXISTS * ( float8[], float8[]);</span></div>
<div class="line"><a name="l00793"></a><span class="lineno"> 793</span>&#160;<span class="comment">DROP OPERATOR IF EXISTS / ( float8[], float8[]);</span></div>
<div class="line"><a name="l00794"></a><span class="lineno"> 794</span>&#160;<span class="comment">DROP OPERATOR IF EXISTS - ( float8[], MADLIB_SCHEMA.svec);</span></div>
<div class="line"><a name="l00795"></a><span class="lineno"> 795</span>&#160;<span class="comment">DROP OPERATOR IF EXISTS + ( float8[], MADLIB_SCHEMA.svec);</span></div>
<div class="line"><a name="l00796"></a><span class="lineno"> 796</span>&#160;<span class="comment">DROP OPERATOR IF EXISTS * ( float8[], MADLIB_SCHEMA.svec);</span></div>
<div class="line"><a name="l00797"></a><span class="lineno"> 797</span>&#160;<span class="comment">DROP OPERATOR IF EXISTS / ( float8[], MADLIB_SCHEMA.svec);</span></div>
<div class="line"><a name="l00798"></a><span class="lineno"> 798</span>&#160;<span class="comment">DROP OPERATOR IF EXISTS - ( MADLIB_SCHEMA.svec, float8[]);</span></div>
<div class="line"><a name="l00799"></a><span class="lineno"> 799</span>&#160;<span class="comment">DROP OPERATOR IF EXISTS + ( MADLIB_SCHEMA.svec, float8[]);</span></div>
<div class="line"><a name="l00800"></a><span class="lineno"> 800</span>&#160;<span class="comment">DROP OPERATOR IF EXISTS * ( MADLIB_SCHEMA.svec, float8[]);</span></div>
<div class="line"><a name="l00801"></a><span class="lineno"> 801</span>&#160;<span class="comment">DROP OPERATOR IF EXISTS / ( MADLIB_SCHEMA.svec, float8[]);</span></div>
<div class="line"><a name="l00802"></a><span class="lineno"> 802</span>&#160;<span class="comment">*/</span></div>
<div class="line"><a name="l00803"></a><span class="lineno"> 803</span>&#160;</div>
<div class="line"><a name="l00804"></a><span class="lineno"> 804</span>&#160;<span class="comment">/*</span></div>
<div class="line"><a name="l00805"></a><span class="lineno"> 805</span>&#160;<span class="comment">CREATE OPERATOR MADLIB_SCHEMA.= (</span></div>
<div class="line"><a name="l00806"></a><span class="lineno"> 806</span>&#160;<span class="comment"> leftarg = float8[], </span></div>
<div class="line"><a name="l00807"></a><span class="lineno"> 807</span>&#160;<span class="comment"> rightarg = float8[], </span></div>
<div class="line"><a name="l00808"></a><span class="lineno"> 808</span>&#160;<span class="comment"> procedure = MADLIB_SCHEMA.float8arr_eq,</span></div>
<div class="line"><a name="l00809"></a><span class="lineno"> 809</span>&#160;<span class="comment"> commutator = operator(MADLIB_SCHEMA.=) ,</span></div>
<div class="line"><a name="l00810"></a><span class="lineno"> 810</span>&#160;<span class="comment">-- negator = operator(MADLIB_SCHEMA.&lt;&gt;) ,</span></div>
<div class="line"><a name="l00811"></a><span class="lineno"> 811</span>&#160;<span class="comment"> restrict = eqsel, join = eqjoinsel</span></div>
<div class="line"><a name="l00812"></a><span class="lineno"> 812</span>&#160;<span class="comment">);</span></div>
<div class="line"><a name="l00813"></a><span class="lineno"> 813</span>&#160;<span class="comment">*/</span></div>
<div class="line"><a name="l00814"></a><span class="lineno"> 814</span>&#160;</div>
<div class="line"><a name="l00815"></a><span class="lineno"> 815</span>&#160;CREATE OPERATOR MADLIB_SCHEMA.%*% (</div>
<div class="line"><a name="l00816"></a><span class="lineno"> 816</span>&#160; LEFTARG = float8[],</div>
<div class="line"><a name="l00817"></a><span class="lineno"> 817</span>&#160; RIGHTARG = float8[],</div>
<div class="line"><a name="l00818"></a><span class="lineno"> 818</span>&#160; PROCEDURE = MADLIB_SCHEMA.svec_dot</div>
<div class="line"><a name="l00819"></a><span class="lineno"> 819</span>&#160;);</div>
<div class="line"><a name="l00820"></a><span class="lineno"> 820</span>&#160;CREATE OPERATOR MADLIB_SCHEMA.%*% (</div>
<div class="line"><a name="l00821"></a><span class="lineno"> 821</span>&#160; LEFTARG = float8[],</div>
<div class="line"><a name="l00822"></a><span class="lineno"> 822</span>&#160; RIGHTARG = MADLIB_SCHEMA.svec,</div>
<div class="line"><a name="l00823"></a><span class="lineno"> 823</span>&#160; PROCEDURE = MADLIB_SCHEMA.svec_dot</div>
<div class="line"><a name="l00824"></a><span class="lineno"> 824</span>&#160;);</div>
<div class="line"><a name="l00825"></a><span class="lineno"> 825</span>&#160;CREATE OPERATOR MADLIB_SCHEMA.%*% (</div>
<div class="line"><a name="l00826"></a><span class="lineno"> 826</span>&#160; LEFTARG = MADLIB_SCHEMA.svec,</div>
<div class="line"><a name="l00827"></a><span class="lineno"> 827</span>&#160; RIGHTARG = float8[],</div>
<div class="line"><a name="l00828"></a><span class="lineno"> 828</span>&#160; PROCEDURE = MADLIB_SCHEMA.svec_dot</div>
<div class="line"><a name="l00829"></a><span class="lineno"> 829</span>&#160;);</div>
<div class="line"><a name="l00830"></a><span class="lineno"> 830</span>&#160;CREATE OPERATOR MADLIB_SCHEMA.- (</div>
<div class="line"><a name="l00831"></a><span class="lineno"> 831</span>&#160; LEFTARG = float8[],</div>
<div class="line"><a name="l00832"></a><span class="lineno"> 832</span>&#160; RIGHTARG = float8[],</div>
<div class="line"><a name="l00833"></a><span class="lineno"> 833</span>&#160; PROCEDURE = MADLIB_SCHEMA.float8arr_minus_float8arr</div>
<div class="line"><a name="l00834"></a><span class="lineno"> 834</span>&#160;);</div>
<div class="line"><a name="l00835"></a><span class="lineno"> 835</span>&#160;CREATE OPERATOR MADLIB_SCHEMA.+ (</div>
<div class="line"><a name="l00836"></a><span class="lineno"> 836</span>&#160; LEFTARG = float8[],</div>
<div class="line"><a name="l00837"></a><span class="lineno"> 837</span>&#160; RIGHTARG = float8[],</div>
<div class="line"><a name="l00838"></a><span class="lineno"> 838</span>&#160; PROCEDURE = MADLIB_SCHEMA.float8arr_plus_float8arr</div>
<div class="line"><a name="l00839"></a><span class="lineno"> 839</span>&#160;);</div>
<div class="line"><a name="l00840"></a><span class="lineno"> 840</span>&#160;CREATE OPERATOR MADLIB_SCHEMA.* (</div>
<div class="line"><a name="l00841"></a><span class="lineno"> 841</span>&#160; LEFTARG = float8[],</div>
<div class="line"><a name="l00842"></a><span class="lineno"> 842</span>&#160; RIGHTARG = float8[],</div>
<div class="line"><a name="l00843"></a><span class="lineno"> 843</span>&#160; PROCEDURE = MADLIB_SCHEMA.float8arr_mult_float8arr</div>
<div class="line"><a name="l00844"></a><span class="lineno"> 844</span>&#160;);</div>
<div class="line"><a name="l00845"></a><span class="lineno"> 845</span>&#160;CREATE OPERATOR MADLIB_SCHEMA./ (</div>
<div class="line"><a name="l00846"></a><span class="lineno"> 846</span>&#160; LEFTARG = float8[],</div>
<div class="line"><a name="l00847"></a><span class="lineno"> 847</span>&#160; RIGHTARG = float8[],</div>
<div class="line"><a name="l00848"></a><span class="lineno"> 848</span>&#160; PROCEDURE = MADLIB_SCHEMA.float8arr_div_float8arr</div>
<div class="line"><a name="l00849"></a><span class="lineno"> 849</span>&#160;);</div>
<div class="line"><a name="l00850"></a><span class="lineno"> 850</span>&#160;</div>
<div class="line"><a name="l00851"></a><span class="lineno"> 851</span>&#160;CREATE OPERATOR MADLIB_SCHEMA.- (</div>
<div class="line"><a name="l00852"></a><span class="lineno"> 852</span>&#160; LEFTARG = float8[],</div>
<div class="line"><a name="l00853"></a><span class="lineno"> 853</span>&#160; RIGHTARG = MADLIB_SCHEMA.svec,</div>
<div class="line"><a name="l00854"></a><span class="lineno"> 854</span>&#160; PROCEDURE = MADLIB_SCHEMA.float8arr_minus_svec</div>
<div class="line"><a name="l00855"></a><span class="lineno"> 855</span>&#160;);</div>
<div class="line"><a name="l00856"></a><span class="lineno"> 856</span>&#160;CREATE OPERATOR MADLIB_SCHEMA.+ (</div>
<div class="line"><a name="l00857"></a><span class="lineno"> 857</span>&#160; LEFTARG = float8[],</div>
<div class="line"><a name="l00858"></a><span class="lineno"> 858</span>&#160; RIGHTARG = MADLIB_SCHEMA.svec,</div>
<div class="line"><a name="l00859"></a><span class="lineno"> 859</span>&#160; PROCEDURE = MADLIB_SCHEMA.float8arr_plus_svec</div>
<div class="line"><a name="l00860"></a><span class="lineno"> 860</span>&#160;);</div>
<div class="line"><a name="l00861"></a><span class="lineno"> 861</span>&#160;CREATE OPERATOR MADLIB_SCHEMA.* (</div>
<div class="line"><a name="l00862"></a><span class="lineno"> 862</span>&#160; LEFTARG = float8[],</div>
<div class="line"><a name="l00863"></a><span class="lineno"> 863</span>&#160; RIGHTARG = MADLIB_SCHEMA.svec,</div>
<div class="line"><a name="l00864"></a><span class="lineno"> 864</span>&#160; PROCEDURE = MADLIB_SCHEMA.float8arr_mult_svec</div>
<div class="line"><a name="l00865"></a><span class="lineno"> 865</span>&#160;);</div>
<div class="line"><a name="l00866"></a><span class="lineno"> 866</span>&#160;CREATE OPERATOR MADLIB_SCHEMA./ (</div>
<div class="line"><a name="l00867"></a><span class="lineno"> 867</span>&#160; LEFTARG = float8[],</div>
<div class="line"><a name="l00868"></a><span class="lineno"> 868</span>&#160; RIGHTARG = MADLIB_SCHEMA.svec,</div>
<div class="line"><a name="l00869"></a><span class="lineno"> 869</span>&#160; PROCEDURE = MADLIB_SCHEMA.float8arr_div_svec</div>
<div class="line"><a name="l00870"></a><span class="lineno"> 870</span>&#160;);</div>
<div class="line"><a name="l00871"></a><span class="lineno"> 871</span>&#160;</div>
<div class="line"><a name="l00872"></a><span class="lineno"> 872</span>&#160;CREATE OPERATOR MADLIB_SCHEMA.- (</div>
<div class="line"><a name="l00873"></a><span class="lineno"> 873</span>&#160; LEFTARG = MADLIB_SCHEMA.svec,</div>
<div class="line"><a name="l00874"></a><span class="lineno"> 874</span>&#160; RIGHTARG = float8[],</div>
<div class="line"><a name="l00875"></a><span class="lineno"> 875</span>&#160; PROCEDURE = MADLIB_SCHEMA.svec_minus_float8arr</div>
<div class="line"><a name="l00876"></a><span class="lineno"> 876</span>&#160;);</div>
<div class="line"><a name="l00877"></a><span class="lineno"> 877</span>&#160;CREATE OPERATOR MADLIB_SCHEMA.+ (</div>
<div class="line"><a name="l00878"></a><span class="lineno"> 878</span>&#160; LEFTARG = MADLIB_SCHEMA.svec,</div>
<div class="line"><a name="l00879"></a><span class="lineno"> 879</span>&#160; RIGHTARG = float8[],</div>
<div class="line"><a name="l00880"></a><span class="lineno"> 880</span>&#160; PROCEDURE = MADLIB_SCHEMA.svec_plus_float8arr</div>
<div class="line"><a name="l00881"></a><span class="lineno"> 881</span>&#160;);</div>
<div class="line"><a name="l00882"></a><span class="lineno"> 882</span>&#160;CREATE OPERATOR MADLIB_SCHEMA.* (</div>
<div class="line"><a name="l00883"></a><span class="lineno"> 883</span>&#160; LEFTARG = MADLIB_SCHEMA.svec,</div>
<div class="line"><a name="l00884"></a><span class="lineno"> 884</span>&#160; RIGHTARG = float8[],</div>
<div class="line"><a name="l00885"></a><span class="lineno"> 885</span>&#160; PROCEDURE = MADLIB_SCHEMA.svec_mult_float8arr</div>
<div class="line"><a name="l00886"></a><span class="lineno"> 886</span>&#160;);</div>
<div class="line"><a name="l00887"></a><span class="lineno"> 887</span>&#160;CREATE OPERATOR MADLIB_SCHEMA./ (</div>
<div class="line"><a name="l00888"></a><span class="lineno"> 888</span>&#160; LEFTARG = MADLIB_SCHEMA.svec,</div>
<div class="line"><a name="l00889"></a><span class="lineno"> 889</span>&#160; RIGHTARG = float8[],</div>
<div class="line"><a name="l00890"></a><span class="lineno"> 890</span>&#160; PROCEDURE = MADLIB_SCHEMA.svec_div_float8arr</div>
<div class="line"><a name="l00891"></a><span class="lineno"> 891</span>&#160;);</div>
<div class="line"><a name="l00892"></a><span class="lineno"> 892</span>&#160;</div>
<div class="line"><a name="l00893"></a><span class="lineno"> 893</span>&#160;<span class="comment">/*</span></div>
<div class="line"><a name="l00894"></a><span class="lineno"> 894</span>&#160;<span class="comment">DROP CAST IF EXISTS (int2 AS MADLIB_SCHEMA.svec) ;</span></div>
<div class="line"><a name="l00895"></a><span class="lineno"> 895</span>&#160;<span class="comment">DROP CAST IF EXISTS (integer AS MADLIB_SCHEMA.svec) ;</span></div>
<div class="line"><a name="l00896"></a><span class="lineno"> 896</span>&#160;<span class="comment">DROP CAST IF EXISTS (bigint AS MADLIB_SCHEMA.svec) ;</span></div>
<div class="line"><a name="l00897"></a><span class="lineno"> 897</span>&#160;<span class="comment">DROP CAST IF EXISTS (float4 AS MADLIB_SCHEMA.svec) ;</span></div>
<div class="line"><a name="l00898"></a><span class="lineno"> 898</span>&#160;<span class="comment">DROP CAST IF EXISTS (float8 AS MADLIB_SCHEMA.svec) ;</span></div>
<div class="line"><a name="l00899"></a><span class="lineno"> 899</span>&#160;<span class="comment">DROP CAST IF EXISTS (numeric AS MADLIB_SCHEMA.svec) ;</span></div>
<div class="line"><a name="l00900"></a><span class="lineno"> 900</span>&#160;<span class="comment">*/</span></div>
<div class="line"><a name="l00901"></a><span class="lineno"> 901</span>&#160;</div>
<div class="line"><a name="l00902"></a><span class="lineno"> 902</span>&#160;CREATE CAST (int2 AS MADLIB_SCHEMA.svec) WITH FUNCTION MADLIB_SCHEMA.svec_cast_int2(int2) ; -- AS IMPLICIT;</div>
<div class="line"><a name="l00903"></a><span class="lineno"> 903</span>&#160;CREATE CAST (integer AS MADLIB_SCHEMA.svec) WITH FUNCTION MADLIB_SCHEMA.svec_cast_int4(integer) ; -- AS IMPLICIT;</div>
<div class="line"><a name="l00904"></a><span class="lineno"> 904</span>&#160;CREATE CAST (bigint AS MADLIB_SCHEMA.svec) WITH FUNCTION MADLIB_SCHEMA.svec_cast_int8(bigint) ; -- AS IMPLICIT;</div>
<div class="line"><a name="l00905"></a><span class="lineno"> 905</span>&#160;CREATE CAST (float4 AS MADLIB_SCHEMA.svec) WITH FUNCTION MADLIB_SCHEMA.svec_cast_float4(float4) ; -- AS IMPLICIT;</div>
<div class="line"><a name="l00906"></a><span class="lineno"> 906</span>&#160;CREATE CAST (float8 AS MADLIB_SCHEMA.svec) WITH FUNCTION MADLIB_SCHEMA.svec_cast_float8(float8) ; -- AS IMPLICIT;</div>
<div class="line"><a name="l00907"></a><span class="lineno"> 907</span>&#160;CREATE CAST (numeric AS MADLIB_SCHEMA.svec) WITH FUNCTION MADLIB_SCHEMA.svec_cast_numeric(numeric) ; -- AS IMPLICIT;</div>
<div class="line"><a name="l00908"></a><span class="lineno"> 908</span>&#160;</div>
<div class="line"><a name="l00909"></a><span class="lineno"> 909</span>&#160;<span class="comment">/*</span></div>
<div class="line"><a name="l00910"></a><span class="lineno"> 910</span>&#160;<span class="comment">DROP CAST IF EXISTS (int2 AS float8[]) ;</span></div>
<div class="line"><a name="l00911"></a><span class="lineno"> 911</span>&#160;<span class="comment">DROP CAST IF EXISTS (integer AS float8[]) ;</span></div>
<div class="line"><a name="l00912"></a><span class="lineno"> 912</span>&#160;<span class="comment">DROP CAST IF EXISTS (bigint AS float8[]) ;</span></div>
<div class="line"><a name="l00913"></a><span class="lineno"> 913</span>&#160;<span class="comment">DROP CAST IF EXISTS (float4 AS float8[]) ;</span></div>
<div class="line"><a name="l00914"></a><span class="lineno"> 914</span>&#160;<span class="comment">DROP CAST IF EXISTS (float8 AS float8[]) ;</span></div>
<div class="line"><a name="l00915"></a><span class="lineno"> 915</span>&#160;<span class="comment">DROP CAST IF EXISTS (numeric AS float8[]) ;</span></div>
<div class="line"><a name="l00916"></a><span class="lineno"> 916</span>&#160;<span class="comment">*/</span></div>
<div class="line"><a name="l00917"></a><span class="lineno"> 917</span>&#160;</div>
<div class="line"><a name="l00918"></a><span class="lineno"> 918</span>&#160;-- CREATE CAST (int2 AS float8[]) WITH FUNCTION MADLIB_SCHEMA.float8arr_cast_int2(int2) ; -- AS IMPLICIT;</div>
<div class="line"><a name="l00919"></a><span class="lineno"> 919</span>&#160;-- CREATE CAST (integer AS float8[]) WITH FUNCTION MADLIB_SCHEMA.float8arr_cast_int4(integer) ; -- AS IMPLICIT;</div>
<div class="line"><a name="l00920"></a><span class="lineno"> 920</span>&#160;-- CREATE CAST (bigint AS float8[]) WITH FUNCTION MADLIB_SCHEMA.float8arr_cast_int8(bigint) ; -- AS IMPLICIT;</div>
<div class="line"><a name="l00921"></a><span class="lineno"> 921</span>&#160;-- CREATE CAST (float4 AS float8[]) WITH FUNCTION MADLIB_SCHEMA.float8arr_cast_float4(float4) ; -- AS IMPLICIT;</div>
<div class="line"><a name="l00922"></a><span class="lineno"> 922</span>&#160;-- CREATE CAST (float8 AS float8[]) WITH FUNCTION MADLIB_SCHEMA.float8arr_cast_float8(float8) ; -- AS IMPLICIT;</div>
<div class="line"><a name="l00923"></a><span class="lineno"> 923</span>&#160;-- CREATE CAST (numeric AS float8[]) WITH FUNCTION MADLIB_SCHEMA.float8arr_cast_numeric(numeric) ; -- AS IMPLICIT;</div>
<div class="line"><a name="l00924"></a><span class="lineno"> 924</span>&#160;</div>
<div class="line"><a name="l00925"></a><span class="lineno"> 925</span>&#160;-- DROP CAST IF EXISTS (MADLIB_SCHEMA.svec AS float8[]) ;</div>
<div class="line"><a name="l00926"></a><span class="lineno"> 926</span>&#160;-- DROP CAST IF EXISTS (float8[] AS MADLIB_SCHEMA.svec) ;</div>
<div class="line"><a name="l00927"></a><span class="lineno"> 927</span>&#160;</div>
<div class="line"><a name="l00928"></a><span class="lineno"> 928</span>&#160;CREATE CAST (MADLIB_SCHEMA.svec AS float8[]) WITH FUNCTION MADLIB_SCHEMA.svec_return_array(MADLIB_SCHEMA.svec) ; -- AS IMPLICIT;</div>
<div class="line"><a name="l00929"></a><span class="lineno"> 929</span>&#160;CREATE CAST (float8[] AS MADLIB_SCHEMA.svec) WITH FUNCTION MADLIB_SCHEMA.svec_cast_float8arr(float8[]) ; -- AS IMPLICIT;</div>
<div class="line"><a name="l00930"></a><span class="lineno"> 930</span>&#160;</div>
<div class="line"><a name="l00931"></a><span class="lineno"> 931</span>&#160;-- DROP OPERATOR IF EXISTS = (MADLIB_SCHEMA.svec, MADLIB_SCHEMA.svec) ;</div>
<div class="line"><a name="l00932"></a><span class="lineno"> 932</span>&#160;</div>
<div class="line"><a name="l00933"></a><span class="lineno"> 933</span>&#160;</div>
<div class="line"><a name="l00934"></a><span class="lineno"> 934</span>&#160;CREATE OPERATOR MADLIB_SCHEMA.= (</div>
<div class="line"><a name="l00935"></a><span class="lineno"> 935</span>&#160; leftarg = MADLIB_SCHEMA.svec, rightarg = MADLIB_SCHEMA.svec, procedure = MADLIB_SCHEMA.svec_eq,</div>
<div class="line"><a name="l00936"></a><span class="lineno"> 936</span>&#160; commutator = operator(MADLIB_SCHEMA.=) ,</div>
<div class="line"><a name="l00937"></a><span class="lineno"> 937</span>&#160;-- negator = operator(MADLIB_SCHEMA.&lt;&gt;) ,</div>
<div class="line"><a name="l00938"></a><span class="lineno"> 938</span>&#160; restrict = eqsel, join = eqjoinsel</div>
<div class="line"><a name="l00939"></a><span class="lineno"> 939</span>&#160;);</div>
<div class="line"><a name="l00940"></a><span class="lineno"> 940</span>&#160;</div>
<div class="line"><a name="l00941"></a><span class="lineno"> 941</span>&#160;--! Transition <span class="keyword">function</span> <span class="keywordflow">for</span> <a class="code" href="svec_8sql__in.html#a546b947319c9f48237120a31929bdfd9">mean</a>(svec) aggregate</div>
<div class="line"><a name="l00942"></a><span class="lineno"> 942</span>&#160;--!</div>
<div class="line"><a name="l00943"></a><span class="lineno"> 943</span>&#160;CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.<a class="code" href="svec_8sql__in.html#afcf2f75cd00ab0ba269caf79dcfcc62c">svec_mean_transition</a>( FLOAT[], MADLIB_SCHEMA.svec) </div>
<div class="line"><a name="l00944"></a><span class="lineno"> 944</span>&#160;RETURNS FLOAT[] AS &#39;MODULE_PATHNAME&#39;</div>
<div class="line"><a name="l00945"></a><span class="lineno"> 945</span>&#160;LANGUAGE C IMMUTABLE; </div>
<div class="line"><a name="l00946"></a><span class="lineno"> 946</span>&#160;</div>
<div class="line"><a name="l00947"></a><span class="lineno"> 947</span>&#160;--! Preliminary merge function for <a class="code" href="svec_8sql__in.html#a546b947319c9f48237120a31929bdfd9">mean</a>(svec) aggregate</div>
<div class="line"><a name="l00948"></a><span class="lineno"> 948</span>&#160;--!</div>
<div class="line"><a name="l00949"></a><span class="lineno"> 949</span>&#160;CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.<a class="code" href="svec_8sql__in.html#ab161647a1498c85762779966790eab71">svec_mean_prefunc</a>( FLOAT[], FLOAT[]) </div>
<div class="line"><a name="l00950"></a><span class="lineno"> 950</span>&#160;RETURNS FLOAT[] AS &#39;MODULE_PATHNAME&#39;</div>
<div class="line"><a name="l00951"></a><span class="lineno"> 951</span>&#160;LANGUAGE C IMMUTABLE; </div>
<div class="line"><a name="l00952"></a><span class="lineno"> 952</span>&#160;</div>
<div class="line"><a name="l00953"></a><span class="lineno"> 953</span>&#160;--! Final function for <a class="code" href="svec_8sql__in.html#a546b947319c9f48237120a31929bdfd9">mean</a>(svec) aggregate</div>
<div class="line"><a name="l00954"></a><span class="lineno"> 954</span>&#160;--!</div>
<div class="line"><a name="l00955"></a><span class="lineno"> 955</span>&#160;CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.<a class="code" href="svec_8sql__in.html#ac3fc45511b50b5d054bf7bbeb952b98d">svec_mean_final</a>( FLOAT[]) </div>
<div class="line"><a name="l00956"></a><span class="lineno"> 956</span>&#160;RETURNS MADLIB_SCHEMA.svec AS &#39;MODULE_PATHNAME&#39;</div>
<div class="line"><a name="l00957"></a><span class="lineno"> 957</span>&#160;LANGUAGE C IMMUTABLE; </div>
<div class="line"><a name="l00958"></a><span class="lineno"> 958</span>&#160;</div>
<div class="line"><a name="l00959"></a><span class="lineno"> 959</span>&#160;--! Aggregate that computes the element-wise <a class="code" href="svec_8sql__in.html#a546b947319c9f48237120a31929bdfd9">mean</a> of a list of vectors.</div>
<div class="line"><a name="l00960"></a><span class="lineno"> 960</span>&#160;--!</div>
<div class="line"><a name="l00961"></a><span class="lineno"> 961</span>&#160;CREATE AGGREGATE MADLIB_SCHEMA.<a class="code" href="svec_8sql__in.html#a546b947319c9f48237120a31929bdfd9">mean</a>( MADLIB_SCHEMA.svec) (</div>
<div class="line"><a name="l00962"></a><span class="lineno"> 962</span>&#160; SFUNC = MADLIB_SCHEMA.<a class="code" href="svec_8sql__in.html#afcf2f75cd00ab0ba269caf79dcfcc62c">svec_mean_transition</a>,</div>
<div class="line"><a name="l00963"></a><span class="lineno"> 963</span>&#160; m4_ifdef(`__GREENPLUM__&#39;,`prefunc = MADLIB_SCHEMA.<a class="code" href="svec_8sql__in.html#ab161647a1498c85762779966790eab71">svec_mean_prefunc</a>,&#39;)</div>
<div class="line"><a name="l00964"></a><span class="lineno"> 964</span>&#160; FINALFUNC = MADLIB_SCHEMA.<a class="code" href="svec_8sql__in.html#ac3fc45511b50b5d054bf7bbeb952b98d">svec_mean_final</a>,</div>
<div class="line"><a name="l00965"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#afcf2f75cd00ab0ba269caf79dcfcc62c"> 965</a></span>&#160; STYPE = FLOAT[]</div>
<div class="line"><a name="l00966"></a><span class="lineno"> 966</span>&#160;);</div>
<div class="line"><a name="l00967"></a><span class="lineno"> 967</span>&#160;</div>
<div class="line"><a name="l00968"></a><span class="lineno"> 968</span>&#160;--! Aggregate that provides the element-wise sum of a list of vectors.</div>
<div class="line"><a name="l00969"></a><span class="lineno"> 969</span>&#160;--!</div>
<div class="line"><a name="l00970"></a><span class="lineno"> 970</span>&#160;-- DROP AGGREGATE IF EXISTS MADLIB_SCHEMA.<a class="code" href="svec_8sql__in.html#af1ce6cdd7244ac0832d15c65b7ccc782">svec_sum</a>(MADLIB_SCHEMA.svec);</div>
<div class="line"><a name="l00971"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#ab161647a1498c85762779966790eab71"> 971</a></span>&#160;CREATE AGGREGATE MADLIB_SCHEMA.<a class="code" href="svec_8sql__in.html#af1ce6cdd7244ac0832d15c65b7ccc782">svec_sum</a> (MADLIB_SCHEMA.svec) (</div>
<div class="line"><a name="l00972"></a><span class="lineno"> 972</span>&#160; SFUNC = MADLIB_SCHEMA.<a class="code" href="svec_8sql__in.html#a612d8920c61e6fdf18dd4e3e9c69c979">svec_plus</a>,</div>
<div class="line"><a name="l00973"></a><span class="lineno"> 973</span>&#160; m4_ifdef(`__GREENPLUM__&#39;,`prefunc=MADLIB_SCHEMA.svec_plus,&#39;)</div>
<div class="line"><a name="l00974"></a><span class="lineno"> 974</span>&#160; INITCOND = &#39;{1}:{0.}<span class="stringliteral">&#39;, -- Zero</span></div>
<div class="line"><a name="l00975"></a><span class="lineno"> 975</span>&#160;<span class="stringliteral"> STYPE = MADLIB_SCHEMA.svec</span></div>
<div class="line"><a name="l00976"></a><span class="lineno"> 976</span>&#160;<span class="stringliteral">);</span></div>
<div class="line"><a name="l00977"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#ac3fc45511b50b5d054bf7bbeb952b98d"> 977</a></span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00978"></a><span class="lineno"> 978</span>&#160;<span class="stringliteral">--! Aggregate that provides a tally of nonzero entries in a list of vectors.</span></div>
<div class="line"><a name="l00979"></a><span class="lineno"> 979</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l00980"></a><span class="lineno"> 980</span>&#160;<span class="stringliteral">-- DROP AGGREGATE IF EXISTS MADLIB_SCHEMA.svec_count_nonzero(MADLIB_SCHEMA.svec);</span></div>
<div class="line"><a name="l00981"></a><span class="lineno"> 981</span>&#160;<span class="stringliteral">CREATE AGGREGATE MADLIB_SCHEMA.svec_count_nonzero (MADLIB_SCHEMA.svec) (</span></div>
<div class="line"><a name="l00982"></a><span class="lineno"> 982</span>&#160;<span class="stringliteral"> SFUNC = MADLIB_SCHEMA.svec_count,</span></div>
<div class="line"><a name="l00983"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#a546b947319c9f48237120a31929bdfd9"> 983</a></span>&#160;<span class="stringliteral"> m4_ifdef(`__GREENPLUM__&#39;</span>,`prefunc=MADLIB_SCHEMA.svec_plus,<span class="stringliteral">&#39;)</span></div>
<div class="line"><a name="l00984"></a><span class="lineno"> 984</span>&#160;<span class="stringliteral"> INITCOND = &#39;</span>{1}:{0.}<span class="stringliteral">&#39;, -- Zero</span></div>
<div class="line"><a name="l00985"></a><span class="lineno"> 985</span>&#160;<span class="stringliteral"> STYPE = MADLIB_SCHEMA.svec</span></div>
<div class="line"><a name="l00986"></a><span class="lineno"> 986</span>&#160;<span class="stringliteral">);</span></div>
<div class="line"><a name="l00987"></a><span class="lineno"> 987</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00988"></a><span class="lineno"> 988</span>&#160;<span class="stringliteral">--! Aggregate that turns a list of float8 values into an SVEC.</span></div>
<div class="line"><a name="l00989"></a><span class="lineno"> 989</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l00990"></a><span class="lineno"> 990</span>&#160;<span class="stringliteral">-- DROP AGGREGATE IF EXISTS MADLIB_SCHEMA.svec_agg(float8);</span></div>
<div class="line"><a name="l00991"></a><span class="lineno"> 991</span>&#160;<span class="stringliteral">CREATE</span></div>
<div class="line"><a name="l00992"></a><span class="lineno"> 992</span>&#160;<span class="stringliteral">m4_ifdef(`__GREENPLUM__&#39;</span>, m4_ifdef(`__HAS_ORDERED_AGGREGATES__<span class="stringliteral">&#39;, `ORDERED&#39;</span>))</div>
<div class="line"><a name="l00993"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#af1ce6cdd7244ac0832d15c65b7ccc782"> 993</a></span>&#160;AGGREGATE MADLIB_SCHEMA.svec_agg (float8) (</div>
<div class="line"><a name="l00994"></a><span class="lineno"> 994</span>&#160; SFUNC = MADLIB_SCHEMA.svec_pivot,</div>
<div class="line"><a name="l00995"></a><span class="lineno"> 995</span>&#160; m4_ifdef(`__GREENPLUM__<span class="stringliteral">&#39;, m4_ifdef(`__HAS_ORDERED_AGGREGATES__&#39;</span>, `<span class="stringliteral">&#39;, ``prefunc=MADLIB_SCHEMA.svec_concat,&#39;</span><span class="stringliteral">&#39;))</span></div>
<div class="line"><a name="l00996"></a><span class="lineno"> 996</span>&#160;<span class="stringliteral"> STYPE = MADLIB_SCHEMA.svec</span></div>
<div class="line"><a name="l00997"></a><span class="lineno"> 997</span>&#160;<span class="stringliteral">);</span></div>
<div class="line"><a name="l00998"></a><span class="lineno"> 998</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00999"></a><span class="lineno"> 999</span>&#160;<span class="stringliteral">--! Aggregate that computes the median element of a list of float8 values.</span></div>
<div class="line"><a name="l01000"></a><span class="lineno"> 1000</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l01001"></a><span class="lineno"> 1001</span>&#160;<span class="stringliteral">-- DROP AGGREGATE IF EXISTS MADLIB_SCHEMA.svec_median_inmemory(float8);</span></div>
<div class="line"><a name="l01002"></a><span class="lineno"> 1002</span>&#160;<span class="stringliteral">CREATE AGGREGATE MADLIB_SCHEMA.svec_median_inmemory (float8) (</span></div>
<div class="line"><a name="l01003"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#abebdcbe45de346aff874db008e842e65"> 1003</a></span>&#160;<span class="stringliteral"> SFUNC = MADLIB_SCHEMA.svec_pivot,</span></div>
<div class="line"><a name="l01004"></a><span class="lineno"> 1004</span>&#160;<span class="stringliteral"> m4_ifdef(`__GREENPLUM__&#39;</span>,`prefunc=MADLIB_SCHEMA.svec_concat,<span class="stringliteral">&#39;)</span></div>
<div class="line"><a name="l01005"></a><span class="lineno"> 1005</span>&#160;<span class="stringliteral"> FINALFUNC = MADLIB_SCHEMA.svec_median,</span></div>
<div class="line"><a name="l01006"></a><span class="lineno"> 1006</span>&#160;<span class="stringliteral"> STYPE = MADLIB_SCHEMA.svec</span></div>
<div class="line"><a name="l01007"></a><span class="lineno"> 1007</span>&#160;<span class="stringliteral">);</span></div>
<div class="line"><a name="l01008"></a><span class="lineno"> 1008</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l01009"></a><span class="lineno"> 1009</span>&#160;<span class="stringliteral">-- Comparisons based on L2 Norm</span></div>
<div class="line"><a name="l01010"></a><span class="lineno"> 1010</span>&#160;<span class="stringliteral">--! Returns true if the l2 norm of the first SVEC is less than that of the second SVEC.</span></div>
<div class="line"><a name="l01011"></a><span class="lineno"> 1011</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l01012"></a><span class="lineno"> 1012</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.svec_l2_lt(MADLIB_SCHEMA.svec,MADLIB_SCHEMA.svec) RETURNS bool AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span><a class="code" href="svec_8sql__in.html#ab53b85cb3412c9172bf0ee04f6856c69">svec_l2_lt</a><span class="stringliteral">&#39; LANGUAGE C IMMUTABLE;</span></div>
<div class="line"><a name="l01013"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#a4c1788ca9569ea3d0412ce18f99fa352"> 1013</a></span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l01014"></a><span class="lineno"> 1014</span>&#160;<span class="stringliteral">--! Returns true if the l2 norm of the first SVEC is less than or equal to that of the second SVEC.</span></div>
<div class="line"><a name="l01015"></a><span class="lineno"> 1015</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l01016"></a><span class="lineno"> 1016</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.svec_l2_le(MADLIB_SCHEMA.svec,MADLIB_SCHEMA.svec) RETURNS bool AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span><a class="code" href="svec_8sql__in.html#a4045437bce8b9a9bdb0eb3115c97ca99">svec_l2_le</a><span class="stringliteral">&#39; LANGUAGE C IMMUTABLE;</span></div>
<div class="line"><a name="l01017"></a><span class="lineno"> 1017</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l01018"></a><span class="lineno"> 1018</span>&#160;<span class="stringliteral">--! Returns true if the l2 norm of the first SVEC is equal to that of the second SVEC.</span></div>
<div class="line"><a name="l01019"></a><span class="lineno"> 1019</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l01020"></a><span class="lineno"> 1020</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.svec_l2_eq(MADLIB_SCHEMA.svec,MADLIB_SCHEMA.svec) RETURNS bool AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span><a class="code" href="svec_8sql__in.html#a9268d26c54c4b2905eb7938df95af8c0">svec_l2_eq</a><span class="stringliteral">&#39; LANGUAGE C IMMUTABLE;</span></div>
<div class="line"><a name="l01021"></a><span class="lineno"> 1021</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l01022"></a><span class="lineno"> 1022</span>&#160;<span class="stringliteral">--! Returns true if the l2 norm of the first SVEC is not equal to that of the second SVEC.</span></div>
<div class="line"><a name="l01023"></a><span class="lineno"> 1023</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l01024"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#a93400e39ecce2f11b9ceb08403420a43"> 1024</a></span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.svec_l2_ne(MADLIB_SCHEMA.svec,MADLIB_SCHEMA.svec) RETURNS bool AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span><a class="code" href="svec_8sql__in.html#af35c08aadf164fa3bbc8678765bca643">svec_l2_ne</a><span class="stringliteral">&#39; LANGUAGE C IMMUTABLE;</span></div>
<div class="line"><a name="l01025"></a><span class="lineno"> 1025</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l01026"></a><span class="lineno"> 1026</span>&#160;<span class="stringliteral">--! Returns true if the l2 norm of the first SVEC is greater than that of the second SVEC.</span></div>
<div class="line"><a name="l01027"></a><span class="lineno"> 1027</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l01028"></a><span class="lineno"> 1028</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.svec_l2_gt(MADLIB_SCHEMA.svec,MADLIB_SCHEMA.svec) RETURNS bool AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span><a class="code" href="svec_8sql__in.html#ab2414d0d78286884cd199cf44c1d17b9">svec_l2_gt</a><span class="stringliteral">&#39; LANGUAGE C IMMUTABLE;</span></div>
<div class="line"><a name="l01029"></a><span class="lineno"> 1029</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l01030"></a><span class="lineno"> 1030</span>&#160;<span class="stringliteral">--! Returns true if the l2 norm of the first SVEC is greater than or equal to that of the second SVEC.</span></div>
<div class="line"><a name="l01031"></a><span class="lineno"> 1031</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l01032"></a><span class="lineno"> 1032</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.svec_l2_ge(MADLIB_SCHEMA.svec,MADLIB_SCHEMA.svec) RETURNS bool AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span><a class="code" href="svec_8sql__in.html#ac22b72fbae2a8f2b35b1c571d9f54dad">svec_l2_ge</a><span class="stringliteral">&#39; LANGUAGE C IMMUTABLE;</span></div>
<div class="line"><a name="l01033"></a><span class="lineno"> 1033</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l01034"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#ab53b85cb3412c9172bf0ee04f6856c69"> 1034</a></span>&#160;<span class="stringliteral">--! Returns a value indicating the relative values of the l2 norms of two SVECs.</span></div>
<div class="line"><a name="l01035"></a><span class="lineno"> 1035</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l01036"></a><span class="lineno"> 1036</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.svec_l2_cmp(MADLIB_SCHEMA.svec,MADLIB_SCHEMA.svec) RETURNS integer AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span><a class="code" href="svec_8sql__in.html#a8f72c8cf6d39f08d939f23cf1338a3c6">svec_l2_cmp</a><span class="stringliteral">&#39; LANGUAGE C IMMUTABLE;</span></div>
<div class="line"><a name="l01037"></a><span class="lineno"> 1037</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l01038"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#a4045437bce8b9a9bdb0eb3115c97ca99"> 1038</a></span>&#160;<span class="stringliteral">--! Normalizes an SVEC that is divides all elements by its norm/magnitude.</span></div>
<div class="line"><a name="l01039"></a><span class="lineno"> 1039</span>&#160;<span class="stringliteral">--!</span></div>
<div class="line"><a name="l01040"></a><span class="lineno"> 1040</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.normalize(MADLIB_SCHEMA.svec) </span></div>
<div class="line"><a name="l01041"></a><span class="lineno"> 1041</span>&#160;<span class="stringliteral">RETURNS MADLIB_SCHEMA.svec AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span>svec_normalize<span class="stringliteral">&#39; LANGUAGE C IMMUTABLE STRICT;</span></div>
<div class="line"><a name="l01042"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#a9268d26c54c4b2905eb7938df95af8c0"> 1042</a></span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l01043"></a><span class="lineno"> 1043</span>&#160;<span class="stringliteral">/*</span></div>
<div class="line"><a name="l01044"></a><span class="lineno"> 1044</span>&#160;<span class="stringliteral">DROP OPERATOR IF EXISTS &lt; (MADLIB_SCHEMA.svec, MADLIB_SCHEMA.svec) CASCADE ;</span></div>
<div class="line"><a name="l01045"></a><span class="lineno"> 1045</span>&#160;<span class="stringliteral">DROP OPERATOR IF EXISTS &lt;= (MADLIB_SCHEMA.svec, MADLIB_SCHEMA.svec) CASCADE ;</span></div>
<div class="line"><a name="l01046"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#af35c08aadf164fa3bbc8678765bca643"> 1046</a></span>&#160;<span class="stringliteral">DROP OPERATOR IF EXISTS &lt;&gt; (MADLIB_SCHEMA.svec, MADLIB_SCHEMA.svec) ;</span></div>
<div class="line"><a name="l01047"></a><span class="lineno"> 1047</span>&#160;<span class="stringliteral">DROP OPERATOR IF EXISTS == (MADLIB_SCHEMA.svec, MADLIB_SCHEMA.svec) CASCADE ;</span></div>
<div class="line"><a name="l01048"></a><span class="lineno"> 1048</span>&#160;<span class="stringliteral">DROP OPERATOR IF EXISTS &gt; (MADLIB_SCHEMA.svec, MADLIB_SCHEMA.svec) CASCADE ;</span></div>
<div class="line"><a name="l01049"></a><span class="lineno"> 1049</span>&#160;<span class="stringliteral">DROP OPERATOR IF EXISTS &gt;= (MADLIB_SCHEMA.svec, MADLIB_SCHEMA.svec) CASCADE ;</span></div>
<div class="line"><a name="l01050"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#ab2414d0d78286884cd199cf44c1d17b9"> 1050</a></span>&#160;<span class="stringliteral">DROP OPERATOR IF EXISTS *|| (int4, MADLIB_SCHEMA.svec) ;</span></div>
<div class="line"><a name="l01051"></a><span class="lineno"> 1051</span>&#160;<span class="stringliteral">*/</span></div>
<div class="line"><a name="l01052"></a><span class="lineno"> 1052</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l01053"></a><span class="lineno"> 1053</span>&#160;<span class="stringliteral">CREATE OPERATOR MADLIB_SCHEMA.&lt; (</span></div>
<div class="line"><a name="l01054"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#ac22b72fbae2a8f2b35b1c571d9f54dad"> 1054</a></span>&#160;<span class="stringliteral"> leftarg = MADLIB_SCHEMA.svec, rightarg = MADLIB_SCHEMA.svec, procedure = MADLIB_SCHEMA.svec_l2_lt,</span></div>
<div class="line"><a name="l01055"></a><span class="lineno"> 1055</span>&#160;<span class="stringliteral"> commutator = operator(MADLIB_SCHEMA.&gt;) , negator = operator(MADLIB_SCHEMA.&gt;=) ,</span></div>
<div class="line"><a name="l01056"></a><span class="lineno"> 1056</span>&#160;<span class="stringliteral"> restrict = scalarltsel, join = scalarltjoinsel</span></div>
<div class="line"><a name="l01057"></a><span class="lineno"> 1057</span>&#160;<span class="stringliteral">);</span></div>
<div class="line"><a name="l01058"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#a8f72c8cf6d39f08d939f23cf1338a3c6"> 1058</a></span>&#160;<span class="stringliteral">CREATE OPERATOR MADLIB_SCHEMA.&lt;= (</span></div>
<div class="line"><a name="l01059"></a><span class="lineno"> 1059</span>&#160;<span class="stringliteral"> leftarg = MADLIB_SCHEMA.svec, rightarg = MADLIB_SCHEMA.svec, procedure = MADLIB_SCHEMA.svec_l2_le,</span></div>
<div class="line"><a name="l01060"></a><span class="lineno"> 1060</span>&#160;<span class="stringliteral"> commutator = operator(MADLIB_SCHEMA.&gt;=) , negator = operator(MADLIB_SCHEMA.&gt;) ,</span></div>
<div class="line"><a name="l01061"></a><span class="lineno"> 1061</span>&#160;<span class="stringliteral"> restrict = scalarltsel, join = scalarltjoinsel</span></div>
<div class="line"><a name="l01062"></a><span class="lineno"><a class="code" href="svec_8sql__in.html#aace16abea7c63f136520fde6c28f1f28"> 1062</a></span>&#160;<span class="stringliteral">);</span></div>
<div class="line"><a name="l01063"></a><span class="lineno"> 1063</span>&#160;<span class="stringliteral">CREATE OPERATOR MADLIB_SCHEMA.&lt;&gt; (</span></div>
<div class="line"><a name="l01064"></a><span class="lineno"> 1064</span>&#160;<span class="stringliteral"> leftarg = MADLIB_SCHEMA.svec, rightarg = MADLIB_SCHEMA.svec, procedure = MADLIB_SCHEMA.svec_l2_eq,</span></div>
<div class="line"><a name="l01065"></a><span class="lineno"> 1065</span>&#160;<span class="stringliteral"> commutator = operator(MADLIB_SCHEMA.&lt;&gt;) ,</span></div>
<div class="line"><a name="l01066"></a><span class="lineno"> 1066</span>&#160;<span class="stringliteral"> negator = operator(MADLIB_SCHEMA.=),</span></div>
<div class="line"><a name="l01067"></a><span class="lineno"> 1067</span>&#160;<span class="stringliteral"> restrict = eqsel, join = eqjoinsel</span></div>
<div class="line"><a name="l01068"></a><span class="lineno"> 1068</span>&#160;<span class="stringliteral">);</span></div>
<div class="line"><a name="l01069"></a><span class="lineno"> 1069</span>&#160;<span class="stringliteral">CREATE OPERATOR MADLIB_SCHEMA.== (</span></div>
<div class="line"><a name="l01070"></a><span class="lineno"> 1070</span>&#160;<span class="stringliteral"> leftarg = MADLIB_SCHEMA.svec, rightarg = MADLIB_SCHEMA.svec, procedure = MADLIB_SCHEMA.svec_l2_eq,</span></div>
<div class="line"><a name="l01071"></a><span class="lineno"> 1071</span>&#160;<span class="stringliteral"> commutator = operator(MADLIB_SCHEMA.=) ,</span></div>
<div class="line"><a name="l01072"></a><span class="lineno"> 1072</span>&#160;<span class="stringliteral"> negator = operator(MADLIB_SCHEMA.&lt;&gt;) ,</span></div>
<div class="line"><a name="l01073"></a><span class="lineno"> 1073</span>&#160;<span class="stringliteral"> restrict = eqsel, join = eqjoinsel</span></div>
<div class="line"><a name="l01074"></a><span class="lineno"> 1074</span>&#160;<span class="stringliteral">);</span></div>
<div class="line"><a name="l01075"></a><span class="lineno"> 1075</span>&#160;<span class="stringliteral">CREATE OPERATOR MADLIB_SCHEMA.&gt;= (</span></div>
<div class="line"><a name="l01076"></a><span class="lineno"> 1076</span>&#160;<span class="stringliteral"> leftarg = MADLIB_SCHEMA.svec, rightarg = MADLIB_SCHEMA.svec, procedure = MADLIB_SCHEMA.svec_l2_ge,</span></div>
<div class="line"><a name="l01077"></a><span class="lineno"> 1077</span>&#160;<span class="stringliteral"> commutator = operator(MADLIB_SCHEMA.&lt;=) , negator = operator(MADLIB_SCHEMA.&lt;) ,</span></div>
<div class="line"><a name="l01078"></a><span class="lineno"> 1078</span>&#160;<span class="stringliteral"> restrict = scalargtsel, join = scalargtjoinsel</span></div>
<div class="line"><a name="l01079"></a><span class="lineno"> 1079</span>&#160;<span class="stringliteral">);</span></div>
<div class="line"><a name="l01080"></a><span class="lineno"> 1080</span>&#160;<span class="stringliteral">CREATE OPERATOR MADLIB_SCHEMA.&gt; (</span></div>
<div class="line"><a name="l01081"></a><span class="lineno"> 1081</span>&#160;<span class="stringliteral"> leftarg = MADLIB_SCHEMA.svec, rightarg = MADLIB_SCHEMA.svec, procedure = MADLIB_SCHEMA.svec_l2_gt,</span></div>
<div class="line"><a name="l01082"></a><span class="lineno"> 1082</span>&#160;<span class="stringliteral"> commutator = operator(MADLIB_SCHEMA.&lt;) , negator = operator(MADLIB_SCHEMA.&lt;=) ,</span></div>
<div class="line"><a name="l01083"></a><span class="lineno"> 1083</span>&#160;<span class="stringliteral"> restrict = scalargtsel, join = scalargtjoinsel</span></div>
<div class="line"><a name="l01084"></a><span class="lineno"> 1084</span>&#160;<span class="stringliteral">);</span></div>
<div class="line"><a name="l01085"></a><span class="lineno"> 1085</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l01086"></a><span class="lineno"> 1086</span>&#160;<span class="stringliteral">CREATE OPERATOR MADLIB_SCHEMA.*|| (</span></div>
<div class="line"><a name="l01087"></a><span class="lineno"> 1087</span>&#160;<span class="stringliteral"> leftarg = int4, rightarg = MADLIB_SCHEMA.svec, procedure = MADLIB_SCHEMA.svec_concat_replicate</span></div>
<div class="line"><a name="l01088"></a><span class="lineno"> 1088</span>&#160;<span class="stringliteral">);</span></div>
<div class="line"><a name="l01089"></a><span class="lineno"> 1089</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l01090"></a><span class="lineno"> 1090</span>&#160;<span class="stringliteral">CREATE OPERATOR CLASS MADLIB_SCHEMA.svec_l2_ops</span></div>
<div class="line"><a name="l01091"></a><span class="lineno"> 1091</span>&#160;<span class="stringliteral">DEFAULT FOR TYPE MADLIB_SCHEMA.svec USING btree AS</span></div>
<div class="line"><a name="l01092"></a><span class="lineno"> 1092</span>&#160;<span class="stringliteral">OPERATOR 1 MADLIB_SCHEMA.&lt; ,</span></div>
<div class="line"><a name="l01093"></a><span class="lineno"> 1093</span>&#160;<span class="stringliteral">OPERATOR 2 MADLIB_SCHEMA.&lt;= ,</span></div>
<div class="line"><a name="l01094"></a><span class="lineno"> 1094</span>&#160;<span class="stringliteral">OPERATOR 3 MADLIB_SCHEMA.== ,</span></div>
<div class="line"><a name="l01095"></a><span class="lineno"> 1095</span>&#160;<span class="stringliteral">OPERATOR 4 MADLIB_SCHEMA.&gt;= ,</span></div>
<div class="line"><a name="l01096"></a><span class="lineno"> 1096</span>&#160;<span class="stringliteral">OPERATOR 5 MADLIB_SCHEMA.&gt; ,</span></div>
<div class="line"><a name="l01097"></a><span class="lineno"> 1097</span>&#160;<span class="stringliteral">FUNCTION 1 MADLIB_SCHEMA.svec_l2_cmp(MADLIB_SCHEMA.svec, MADLIB_SCHEMA.svec);</span></div>
<div class="line"><a name="l01098"></a><span class="lineno"> 1098</span>&#160;<span class="stringliteral"></span></div>
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