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<div class="title">matrix_op.sql_in</div> </div>
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<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span>&#160;m4_include(`SQLCommon.m4<span class="stringliteral">&#39;)</span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00003"></a><span class="lineno"> 3</span>&#160;<span class="stringliteral">CREATE TYPE MADLIB_SCHEMA.matrix_result AS(</span></div>
<div class="line"><a name="l00004"></a><span class="lineno"> 4</span>&#160;<span class="stringliteral"> output_table TEXT</span></div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span>&#160;<span class="stringliteral">);</span></div>
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION</span></div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span>&#160;<span class="stringliteral">MADLIB_SCHEMA.matrix_mult</span></div>
<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>&#160;<span class="stringliteral">(</span></div>
<div class="line"><a name="l00010"></a><span class="lineno"> 10</span>&#160;<span class="stringliteral"> matrix_a TEXT,</span></div>
<div class="line"><a name="l00011"></a><span class="lineno"> 11</span>&#160;<span class="stringliteral"> a_row TEXT,</span></div>
<div class="line"><a name="l00012"></a><span class="lineno"> 12</span>&#160;<span class="stringliteral"> a_col TEXT,</span></div>
<div class="line"><a name="l00013"></a><span class="lineno"> 13</span>&#160;<span class="stringliteral"> a_val TEXT,</span></div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span>&#160;<span class="stringliteral"> a_trans BOOLEAN,</span></div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span>&#160;<span class="stringliteral"> matrix_b TEXT,</span></div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span>&#160;<span class="stringliteral"> b_row TEXT,</span></div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span>&#160;<span class="stringliteral"> b_col TEXT,</span></div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span>&#160;<span class="stringliteral"> b_val TEXT,</span></div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span>&#160;<span class="stringliteral"> b_trans BOOLEAN,</span></div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span>&#160;<span class="stringliteral"> matrix_r TEXT</span></div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span>&#160;<span class="stringliteral">)</span></div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span>&#160;<span class="stringliteral">RETURNS MADLIB_SCHEMA.matrix_result AS $$</span></div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span>&#160;<span class="stringliteral"> PythonFunctionBodyOnly(`linalg&#39;</span>, `matrix_op<span class="stringliteral">&#39;)</span></div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span>&#160;<span class="stringliteral"> matrix_op.matrix_mult(schema_madlib,</span></div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>&#160;<span class="stringliteral"> matrix_a, a_row, a_col, a_val, a_trans,</span></div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>&#160;<span class="stringliteral"> matrix_b, b_row, b_col, b_val, b_trans,</span></div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>&#160;<span class="stringliteral"> matrix_r)</span></div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160;<span class="stringliteral"> return [matrix_r]</span></div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>&#160;<span class="stringliteral">$$ LANGUAGE plpythonu;</span></div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION</span></div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>&#160;<span class="stringliteral">MADLIB_SCHEMA.matrix_mult</span></div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>&#160;<span class="stringliteral">(</span></div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>&#160;<span class="stringliteral"> matrix_a TEXT,</span></div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>&#160;<span class="stringliteral"> a_trans BOOLEAN,</span></div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>&#160;<span class="stringliteral"> matrix_b TEXT,</span></div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>&#160;<span class="stringliteral"> b_trans BOOLEAN,</span></div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>&#160;<span class="stringliteral"> matrix_r TEXT</span></div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>&#160;<span class="stringliteral">)</span></div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160;<span class="stringliteral">RETURNS MADLIB_SCHEMA.matrix_result AS $$</span></div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>&#160;<span class="stringliteral"> SELECT</span></div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>&#160;<span class="stringliteral"> MADLIB_SCHEMA.matrix_mult(</span></div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>&#160;<span class="stringliteral"> $1, NULL, NULL, NULL, $2,</span></div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>&#160;<span class="stringliteral"> $3, NULL, NULL, NULL, $4,</span></div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>&#160;<span class="stringliteral"> $5);</span></div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>&#160;<span class="stringliteral">$$ LANGUAGE sql;</span></div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION</span></div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>&#160;<span class="stringliteral">MADLIB_SCHEMA.matrix_block_mult</span></div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>&#160;<span class="stringliteral">(</span></div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>&#160;<span class="stringliteral"> matrix_a TEXT,</span></div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>&#160;<span class="stringliteral"> matrix_b TEXT,</span></div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>&#160;<span class="stringliteral"> matrix_r TEXT</span></div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>&#160;<span class="stringliteral">)</span></div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>&#160;<span class="stringliteral">RETURNS MADLIB_SCHEMA.matrix_result AS $$</span></div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>&#160;<span class="stringliteral"> PythonFunctionBodyOnly(`linalg&#39;</span>, `matrix_op<span class="stringliteral">&#39;)</span></div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>&#160;<span class="stringliteral"> matrix_op.matrix_block_mult(schema_madlib,</span></div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>&#160;<span class="stringliteral"> matrix_a, matrix_b, matrix_r)</span></div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>&#160;<span class="stringliteral"> return [matrix_r]</span></div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>&#160;<span class="stringliteral">$$ LANGUAGE plpythonu;</span></div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION</span></div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>&#160;<span class="stringliteral">MADLIB_SCHEMA.matrix_block_square</span></div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160;<span class="stringliteral">(</span></div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>&#160;<span class="stringliteral"> matrix_in TEXT,</span></div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>&#160;<span class="stringliteral"> matrix_out TEXT</span></div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>&#160;<span class="stringliteral">)</span></div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>&#160;<span class="stringliteral">RETURNS MADLIB_SCHEMA.matrix_result AS $$</span></div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>&#160;<span class="stringliteral"> PythonFunctionBodyOnly(`linalg&#39;</span>, `matrix_op<span class="stringliteral">&#39;)</span></div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>&#160;<span class="stringliteral"> matrix_op.matrix_block_square(schema_madlib, matrix_in, matrix_out)</span></div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>&#160;<span class="stringliteral"> return [matrix_out]</span></div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>&#160;<span class="stringliteral">$$ LANGUAGE plpythonu;</span></div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION</span></div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>&#160;<span class="stringliteral">MADLIB_SCHEMA.matrix_block_trans</span></div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>&#160;<span class="stringliteral">(</span></div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>&#160;<span class="stringliteral"> matrix_in TEXT,</span></div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>&#160;<span class="stringliteral"> matrix_out TEXT,</span></div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>&#160;<span class="stringliteral"> use_temp_table BOOLEAN</span></div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>&#160;<span class="stringliteral">)</span></div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>&#160;<span class="stringliteral">RETURNS MADLIB_SCHEMA.matrix_result AS $$</span></div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>&#160;<span class="stringliteral"> PythonFunctionBodyOnly(`linalg&#39;</span>, `matrix_op<span class="stringliteral">&#39;)</span></div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>&#160;<span class="stringliteral"> matrix_op.matrix_block_trans(schema_madlib, matrix_in, matrix_out, use_temp_table)</span></div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>&#160;<span class="stringliteral"> return [matrix_out]</span></div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>&#160;<span class="stringliteral">$$ LANGUAGE plpythonu;</span></div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION</span></div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>&#160;<span class="stringliteral">MADLIB_SCHEMA.matrix_block_trans</span></div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>&#160;<span class="stringliteral">(</span></div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>&#160;<span class="stringliteral"> matrix_in TEXT,</span></div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>&#160;<span class="stringliteral"> matrix_out TEXT</span></div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>&#160;<span class="stringliteral">)</span></div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>&#160;<span class="stringliteral">RETURNS MADLIB_SCHEMA.matrix_result AS $$</span></div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>&#160;<span class="stringliteral"> select MADLIB_SCHEMA.matrix_block_trans($1, $2, FALSE)</span></div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>&#160;<span class="stringliteral">$$ LANGUAGE SQL;</span></div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION</span></div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>&#160;<span class="stringliteral">MADLIB_SCHEMA.matrix_square</span></div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>&#160;<span class="stringliteral">(</span></div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>&#160;<span class="stringliteral"> matrix_in TEXT,</span></div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>&#160;<span class="stringliteral"> matrix_out TEXT</span></div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>&#160;<span class="stringliteral">)</span></div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>&#160;<span class="stringliteral">RETURNS MADLIB_SCHEMA.matrix_result AS $$</span></div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>&#160;<span class="stringliteral"> PythonFunctionBodyOnly(`linalg&#39;</span>, `matrix_op<span class="stringliteral">&#39;)</span></div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>&#160;<span class="stringliteral"> matrix_op.matrix_square(schema_madlib,</span></div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>&#160;<span class="stringliteral"> matrix_in, matrix_out)</span></div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>&#160;<span class="stringliteral"> return [matrix_out]</span></div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>&#160;<span class="stringliteral">$$ LANGUAGE plpythonu;</span></div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION</span></div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>&#160;<span class="stringliteral">MADLIB_SCHEMA.matrix_trans</span></div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>&#160;<span class="stringliteral">(</span></div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>&#160;<span class="stringliteral"> matrix_in TEXT,</span></div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>&#160;<span class="stringliteral"> in_row TEXT,</span></div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>&#160;<span class="stringliteral"> in_col TEXT,</span></div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>&#160;<span class="stringliteral"> in_val TEXT,</span></div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>&#160;<span class="stringliteral"> matrix_out TEXT,</span></div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>&#160;<span class="stringliteral"> use_temp_table BOOLEAN</span></div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>&#160;<span class="stringliteral">)</span></div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>&#160;<span class="stringliteral">RETURNS MADLIB_SCHEMA.matrix_result AS $$</span></div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>&#160;<span class="stringliteral"> PythonFunctionBodyOnly(`linalg&#39;</span>, `matrix_op<span class="stringliteral">&#39;)</span></div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>&#160;<span class="stringliteral"> matrix_op.matrix_trans(schema_madlib,</span></div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>&#160;<span class="stringliteral"> matrix_in, in_row, in_col, in_val, matrix_out, use_temp_table)</span></div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>&#160;<span class="stringliteral"> return [matrix_out]</span></div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>&#160;<span class="stringliteral">$$ LANGUAGE plpythonu;</span></div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION</span></div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>&#160;<span class="stringliteral">MADLIB_SCHEMA.matrix_trans</span></div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>&#160;<span class="stringliteral">(</span></div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>&#160;<span class="stringliteral"> matrix_in TEXT,</span></div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>&#160;<span class="stringliteral"> matrix_out TEXT,</span></div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>&#160;<span class="stringliteral"> use_temp_table BOOLEAN</span></div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>&#160;<span class="stringliteral">)</span></div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>&#160;<span class="stringliteral">RETURNS MADLIB_SCHEMA.matrix_result AS $$</span></div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>&#160;<span class="stringliteral"> SELECT</span></div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>&#160;<span class="stringliteral"> MADLIB_SCHEMA.matrix_trans(</span></div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>&#160;<span class="stringliteral"> $1, NULL, NULL, NULL, $2, $3);</span></div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>&#160;<span class="stringliteral">$$ LANGUAGE sql;</span></div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION</span></div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>&#160;<span class="stringliteral">MADLIB_SCHEMA.matrix_sparsify</span></div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>&#160;<span class="stringliteral">(</span></div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>&#160;<span class="stringliteral"> matrix_in TEXT,</span></div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>&#160;<span class="stringliteral"> matrix_out TEXT,</span></div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>&#160;<span class="stringliteral"> use_temp_table BOOLEAN</span></div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>&#160;<span class="stringliteral">)</span></div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>&#160;<span class="stringliteral">RETURNS MADLIB_SCHEMA.matrix_result AS $$</span></div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>&#160;<span class="stringliteral"> PythonFunctionBodyOnly(`linalg&#39;</span>, `matrix_op<span class="stringliteral">&#39;)</span></div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>&#160;<span class="stringliteral"> matrix_op.matrix_sparsify(matrix_in, matrix_out, use_temp_table)</span></div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>&#160;<span class="stringliteral"> return [matrix_out]</span></div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>&#160;<span class="stringliteral">$$ LANGUAGE plpythonu;</span></div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION</span></div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>&#160;<span class="stringliteral">MADLIB_SCHEMA.matrix_densify</span></div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>&#160;<span class="stringliteral">(</span></div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>&#160;<span class="stringliteral"> matrix_in TEXT,</span></div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>&#160;<span class="stringliteral"> in_row TEXT,</span></div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>&#160;<span class="stringliteral"> in_col TEXT,</span></div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>&#160;<span class="stringliteral"> in_val TEXT,</span></div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>&#160;<span class="stringliteral"> matrix_out TEXT,</span></div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>&#160;<span class="stringliteral"> use_temp_table BOOLEAN</span></div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>&#160;<span class="stringliteral">)</span></div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>&#160;<span class="stringliteral">RETURNS MADLIB_SCHEMA.matrix_result AS $$</span></div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>&#160;<span class="stringliteral"> PythonFunctionBodyOnly(`linalg&#39;</span>, `matrix_op<span class="stringliteral">&#39;)</span></div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>&#160;<span class="stringliteral"> matrix_op.matrix_densify(schema_madlib,</span></div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>&#160;<span class="stringliteral"> matrix_in, in_row, in_col, in_val, matrix_out, use_temp_table)</span></div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>&#160;<span class="stringliteral"> return [matrix_out]</span></div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>&#160;<span class="stringliteral">$$ LANGUAGE plpythonu;</span></div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION</span></div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>&#160;<span class="stringliteral">MADLIB_SCHEMA.__matrix_densify_sfunc</span></div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>&#160;<span class="stringliteral">(</span></div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>&#160;<span class="stringliteral"> state FLOAT8[],</span></div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>&#160;<span class="stringliteral"> col_dim INT4,</span></div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>&#160;<span class="stringliteral"> col INT4,</span></div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>&#160;<span class="stringliteral"> val FLOAT8</span></div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>&#160;<span class="stringliteral">)</span></div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>&#160;<span class="stringliteral">RETURNS FLOAT8[]</span></div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>&#160;<span class="stringliteral">AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span>matrix_densify_sfunc<span class="stringliteral">&#39;</span></div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>&#160;<span class="stringliteral">LANGUAGE C;</span></div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION</span></div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>&#160;<span class="stringliteral">MADLIB_SCHEMA.__rand_vector</span></div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>&#160;<span class="stringliteral">(</span></div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>&#160;<span class="stringliteral"> dim INT4</span></div>
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>&#160;<span class="stringliteral">)</span></div>
<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>&#160;<span class="stringliteral">RETURNS INT4[]</span></div>
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>&#160;<span class="stringliteral">AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span>rand_vector<span class="stringliteral">&#39;</span></div>
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>&#160;<span class="stringliteral">LANGUAGE C STRICT;</span></div>
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION</span></div>
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>&#160;<span class="stringliteral">MADLIB_SCHEMA.__rand_block</span></div>
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>&#160;<span class="stringliteral">(</span></div>
<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>&#160;<span class="stringliteral"> row_dim INT4,</span></div>
<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>&#160;<span class="stringliteral"> col_dim INT4</span></div>
<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>&#160;<span class="stringliteral">)</span></div>
<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>&#160;<span class="stringliteral">RETURNS INT4[]</span></div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>&#160;<span class="stringliteral">AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span>rand_block<span class="stringliteral">&#39;</span></div>
<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>&#160;<span class="stringliteral">LANGUAGE C STRICT;</span></div>
<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION</span></div>
<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>&#160;<span class="stringliteral">MADLIB_SCHEMA.__rand_block</span></div>
<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>&#160;<span class="stringliteral">(</span></div>
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>&#160;<span class="stringliteral"> dim INT4</span></div>
<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>&#160;<span class="stringliteral">)</span></div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>&#160;<span class="stringliteral">RETURNS INT4[] AS $$</span></div>
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>&#160;<span class="stringliteral"> SELECT MADLIB_SCHEMA.__rand_block($1, $1);</span></div>
<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>&#160;<span class="stringliteral">$$ LANGUAGE sql STRICT;</span></div>
<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION</span></div>
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>&#160;<span class="stringliteral">MADLIB_SCHEMA.__matrix_row_split</span></div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>&#160;<span class="stringliteral">(</span></div>
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>&#160;<span class="stringliteral"> row_in FLOAT8[],</span></div>
<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>&#160;<span class="stringliteral"> size INT4</span></div>
<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>&#160;<span class="stringliteral">)</span></div>
<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>&#160;<span class="stringliteral">RETURNS SETOF FLOAT8[]</span></div>
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>&#160;<span class="stringliteral">AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span>row_split<span class="stringliteral">&#39;</span></div>
<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>&#160;<span class="stringliteral">LANGUAGE C STRICT;</span></div>
<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION</span></div>
<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>&#160;<span class="stringliteral">MADLIB_SCHEMA.__matrix_blockize_sfunc</span></div>
<div class="line"><a name="l00222"></a><span class="lineno"> 222</span>&#160;<span class="stringliteral">(</span></div>
<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>&#160;<span class="stringliteral"> state FLOAT8[],</span></div>
<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>&#160;<span class="stringliteral"> row_id INT4,</span></div>
<div class="line"><a name="l00225"></a><span class="lineno"> 225</span>&#160;<span class="stringliteral"> row_vec FLOAT8[],</span></div>
<div class="line"><a name="l00226"></a><span class="lineno"> 226</span>&#160;<span class="stringliteral"> rsize INT4</span></div>
<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>&#160;<span class="stringliteral">)</span></div>
<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>&#160;<span class="stringliteral">RETURNS FLOAT8[]</span></div>
<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>&#160;<span class="stringliteral">AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span>matrix_blockize_sfunc<span class="stringliteral">&#39;</span></div>
<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>&#160;<span class="stringliteral">LANGUAGE C;</span></div>
<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION</span></div>
<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>&#160;<span class="stringliteral">MADLIB_SCHEMA.__matrix_unblockize_sfunc</span></div>
<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>&#160;<span class="stringliteral">(</span></div>
<div class="line"><a name="l00235"></a><span class="lineno"> 235</span>&#160;<span class="stringliteral"> state FLOAT8[],</span></div>
<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>&#160;<span class="stringliteral"> total_col_dim INT4,</span></div>
<div class="line"><a name="l00237"></a><span class="lineno"> 237</span>&#160;<span class="stringliteral"> col_id INT4,</span></div>
<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>&#160;<span class="stringliteral"> row_vec FLOAT8[]</span></div>
<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>&#160;<span class="stringliteral">)</span></div>
<div class="line"><a name="l00240"></a><span class="lineno"> 240</span>&#160;<span class="stringliteral">RETURNS FLOAT8[]</span></div>
<div class="line"><a name="l00241"></a><span class="lineno"> 241</span>&#160;<span class="stringliteral">AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span>matrix_unblockize_sfunc<span class="stringliteral">&#39;</span></div>
<div class="line"><a name="l00242"></a><span class="lineno"> 242</span>&#160;<span class="stringliteral">LANGUAGE C;</span></div>
<div class="line"><a name="l00243"></a><span class="lineno"> 243</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>&#160;<span class="stringliteral">DROP AGGREGATE IF EXISTS</span></div>
<div class="line"><a name="l00245"></a><span class="lineno"> 245</span>&#160;<span class="stringliteral">MADLIB_SCHEMA.__matrix_densify_agg</span></div>
<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>&#160;<span class="stringliteral">(</span></div>
<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>&#160;<span class="stringliteral"> INT4,</span></div>
<div class="line"><a name="l00248"></a><span class="lineno"> 248</span>&#160;<span class="stringliteral"> INT4,</span></div>
<div class="line"><a name="l00249"></a><span class="lineno"> 249</span>&#160;<span class="stringliteral"> FLOAT8</span></div>
<div class="line"><a name="l00250"></a><span class="lineno"> 250</span>&#160;<span class="stringliteral">);</span></div>
<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>&#160;<span class="stringliteral">CREATE AGGREGATE</span></div>
<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>&#160;<span class="stringliteral">MADLIB_SCHEMA.__matrix_densify_agg</span></div>
<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>&#160;<span class="stringliteral">(</span></div>
<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>&#160;<span class="stringliteral"> INT4,</span></div>
<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>&#160;<span class="stringliteral"> INT4,</span></div>
<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>&#160;<span class="stringliteral"> FLOAT8</span></div>
<div class="line"><a name="l00258"></a><span class="lineno"> 258</span>&#160;<span class="stringliteral">)</span></div>
<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>&#160;<span class="stringliteral">(</span></div>
<div class="line"><a name="l00260"></a><span class="lineno"> 260</span>&#160;<span class="stringliteral"> stype = FLOAT8[],</span></div>
<div class="line"><a name="l00261"></a><span class="lineno"> 261</span>&#160;<span class="stringliteral"> sfunc = MADLIB_SCHEMA.__matrix_densify_sfunc</span></div>
<div class="line"><a name="l00262"></a><span class="lineno"> 262</span>&#160;<span class="stringliteral">);</span></div>
<div class="line"><a name="l00263"></a><span class="lineno"> 263</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00264"></a><span class="lineno"> 264</span>&#160;<span class="stringliteral">DROP AGGREGATE IF EXISTS</span></div>
<div class="line"><a name="l00265"></a><span class="lineno"> 265</span>&#160;<span class="stringliteral">MADLIB_SCHEMA.__matrix_blockize_agg</span></div>
<div class="line"><a name="l00266"></a><span class="lineno"> 266</span>&#160;<span class="stringliteral">(</span></div>
<div class="line"><a name="l00267"></a><span class="lineno"> 267</span>&#160;<span class="stringliteral"> INT4,</span></div>
<div class="line"><a name="l00268"></a><span class="lineno"> 268</span>&#160;<span class="stringliteral"> FLOAT8[],</span></div>
<div class="line"><a name="l00269"></a><span class="lineno"> 269</span>&#160;<span class="stringliteral"> INT4</span></div>
<div class="line"><a name="l00270"></a><span class="lineno"> 270</span>&#160;<span class="stringliteral">);</span></div>
<div class="line"><a name="l00271"></a><span class="lineno"> 271</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00272"></a><span class="lineno"> 272</span>&#160;<span class="stringliteral">CREATE AGGREGATE</span></div>
<div class="line"><a name="l00273"></a><span class="lineno"> 273</span>&#160;<span class="stringliteral">MADLIB_SCHEMA.__matrix_blockize_agg</span></div>
<div class="line"><a name="l00274"></a><span class="lineno"> 274</span>&#160;<span class="stringliteral">(</span></div>
<div class="line"><a name="l00275"></a><span class="lineno"> 275</span>&#160;<span class="stringliteral"> INT4,</span></div>
<div class="line"><a name="l00276"></a><span class="lineno"> 276</span>&#160;<span class="stringliteral"> FLOAT8[],</span></div>
<div class="line"><a name="l00277"></a><span class="lineno"> 277</span>&#160;<span class="stringliteral"> INT4</span></div>
<div class="line"><a name="l00278"></a><span class="lineno"> 278</span>&#160;<span class="stringliteral">)</span></div>
<div class="line"><a name="l00279"></a><span class="lineno"> 279</span>&#160;<span class="stringliteral">(</span></div>
<div class="line"><a name="l00280"></a><span class="lineno"> 280</span>&#160;<span class="stringliteral"> stype = FLOAT8[],</span></div>
<div class="line"><a name="l00281"></a><span class="lineno"> 281</span>&#160;<span class="stringliteral"> sfunc = MADLIB_SCHEMA.__matrix_blockize_sfunc</span></div>
<div class="line"><a name="l00282"></a><span class="lineno"> 282</span>&#160;<span class="stringliteral">);</span></div>
<div class="line"><a name="l00283"></a><span class="lineno"> 283</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00284"></a><span class="lineno"> 284</span>&#160;<span class="stringliteral">DROP AGGREGATE IF EXISTS</span></div>
<div class="line"><a name="l00285"></a><span class="lineno"> 285</span>&#160;<span class="stringliteral">MADLIB_SCHEMA.__matrix_unblockize_agg</span></div>
<div class="line"><a name="l00286"></a><span class="lineno"> 286</span>&#160;<span class="stringliteral">(</span></div>
<div class="line"><a name="l00287"></a><span class="lineno"> 287</span>&#160;<span class="stringliteral"> INT4,</span></div>
<div class="line"><a name="l00288"></a><span class="lineno"> 288</span>&#160;<span class="stringliteral"> INT4,</span></div>
<div class="line"><a name="l00289"></a><span class="lineno"> 289</span>&#160;<span class="stringliteral"> FLOAT8[]</span></div>
<div class="line"><a name="l00290"></a><span class="lineno"> 290</span>&#160;<span class="stringliteral">);</span></div>
<div class="line"><a name="l00291"></a><span class="lineno"> 291</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00292"></a><span class="lineno"> 292</span>&#160;<span class="stringliteral">CREATE AGGREGATE</span></div>
<div class="line"><a name="l00293"></a><span class="lineno"> 293</span>&#160;<span class="stringliteral">MADLIB_SCHEMA.__matrix_unblockize_agg</span></div>
<div class="line"><a name="l00294"></a><span class="lineno"> 294</span>&#160;<span class="stringliteral">(</span></div>
<div class="line"><a name="l00295"></a><span class="lineno"> 295</span>&#160;<span class="stringliteral"> INT4,</span></div>
<div class="line"><a name="l00296"></a><span class="lineno"> 296</span>&#160;<span class="stringliteral"> INT4,</span></div>
<div class="line"><a name="l00297"></a><span class="lineno"> 297</span>&#160;<span class="stringliteral"> FLOAT8[]</span></div>
<div class="line"><a name="l00298"></a><span class="lineno"> 298</span>&#160;<span class="stringliteral">)</span></div>
<div class="line"><a name="l00299"></a><span class="lineno"> 299</span>&#160;<span class="stringliteral">(</span></div>
<div class="line"><a name="l00300"></a><span class="lineno"> 300</span>&#160;<span class="stringliteral"> stype = FLOAT8[],</span></div>
<div class="line"><a name="l00301"></a><span class="lineno"> 301</span>&#160;<span class="stringliteral"> sfunc = MADLIB_SCHEMA.__matrix_unblockize_sfunc</span></div>
<div class="line"><a name="l00302"></a><span class="lineno"> 302</span>&#160;<span class="stringliteral">);</span></div>
<div class="line"><a name="l00303"></a><span class="lineno"> 303</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00304"></a><span class="lineno"> 304</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION</span></div>
<div class="line"><a name="l00305"></a><span class="lineno"> 305</span>&#160;<span class="stringliteral">MADLIB_SCHEMA.matrix_mem_mult</span></div>
<div class="line"><a name="l00306"></a><span class="lineno"> 306</span>&#160;<span class="stringliteral">(</span></div>
<div class="line"><a name="l00307"></a><span class="lineno"> 307</span>&#160;<span class="stringliteral"> matrix_a FLOAT[],</span></div>
<div class="line"><a name="l00308"></a><span class="lineno"> 308</span>&#160;<span class="stringliteral"> matrix_b FLOAT[],</span></div>
<div class="line"><a name="l00309"></a><span class="lineno"> 309</span>&#160;<span class="stringliteral"> trans_b BOOLEAN</span></div>
<div class="line"><a name="l00310"></a><span class="lineno"> 310</span>&#160;<span class="stringliteral">)</span></div>
<div class="line"><a name="l00311"></a><span class="lineno"> 311</span>&#160;<span class="stringliteral">RETURNS FLOAT8[]</span></div>
<div class="line"><a name="l00312"></a><span class="lineno"> 312</span>&#160;<span class="stringliteral">AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span>matrix_mem_mult<span class="stringliteral">&#39;</span></div>
<div class="line"><a name="l00313"></a><span class="lineno"> 313</span>&#160;<span class="stringliteral">LANGUAGE C;</span></div>
<div class="line"><a name="l00314"></a><span class="lineno"> 314</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00315"></a><span class="lineno"> 315</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION</span></div>
<div class="line"><a name="l00316"></a><span class="lineno"> 316</span>&#160;<span class="stringliteral">MADLIB_SCHEMA.matrix_mem_mult</span></div>
<div class="line"><a name="l00317"></a><span class="lineno"> 317</span>&#160;<span class="stringliteral">(</span></div>
<div class="line"><a name="l00318"></a><span class="lineno"> 318</span>&#160;<span class="stringliteral"> matrix_a FLOAT[],</span></div>
<div class="line"><a name="l00319"></a><span class="lineno"> 319</span>&#160;<span class="stringliteral"> matrix_b FLOAT[]</span></div>
<div class="line"><a name="l00320"></a><span class="lineno"> 320</span>&#160;<span class="stringliteral">)</span></div>
<div class="line"><a name="l00321"></a><span class="lineno"> 321</span>&#160;<span class="stringliteral">RETURNS FLOAT8[] AS $$</span></div>
<div class="line"><a name="l00322"></a><span class="lineno"> 322</span>&#160;<span class="stringliteral"> SELECT MADLIB_SCHEMA.matrix_mem_mult($1, $2, false);</span></div>
<div class="line"><a name="l00323"></a><span class="lineno"> 323</span>&#160;<span class="stringliteral">$$ LANGUAGE sql;</span></div>
<div class="line"><a name="l00324"></a><span class="lineno"> 324</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00325"></a><span class="lineno"> 325</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION</span></div>
<div class="line"><a name="l00326"></a><span class="lineno"> 326</span>&#160;<span class="stringliteral">MADLIB_SCHEMA.matrix_mem_trans</span></div>
<div class="line"><a name="l00327"></a><span class="lineno"> 327</span>&#160;<span class="stringliteral">(</span></div>
<div class="line"><a name="l00328"></a><span class="lineno"> 328</span>&#160;<span class="stringliteral"> matrix FLOAT[]</span></div>
<div class="line"><a name="l00329"></a><span class="lineno"> 329</span>&#160;<span class="stringliteral">)</span></div>
<div class="line"><a name="l00330"></a><span class="lineno"> 330</span>&#160;<span class="stringliteral">RETURNS FLOAT8[]</span></div>
<div class="line"><a name="l00331"></a><span class="lineno"> 331</span>&#160;<span class="stringliteral">AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span>matrix_mem_trans<span class="stringliteral">&#39;</span></div>
<div class="line"><a name="l00332"></a><span class="lineno"> 332</span>&#160;<span class="stringliteral">LANGUAGE C;</span></div>
<div class="line"><a name="l00333"></a><span class="lineno"> 333</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00334"></a><span class="lineno"> 334</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION</span></div>
<div class="line"><a name="l00335"></a><span class="lineno"> 335</span>&#160;<span class="stringliteral">MADLIB_SCHEMA.__matrix_mem_sum_sfunc</span></div>
<div class="line"><a name="l00336"></a><span class="lineno"> 336</span>&#160;<span class="stringliteral">(</span></div>
<div class="line"><a name="l00337"></a><span class="lineno"> 337</span>&#160;<span class="stringliteral"> state FLOAT[],</span></div>
<div class="line"><a name="l00338"></a><span class="lineno"> 338</span>&#160;<span class="stringliteral"> matrix FLOAT[]</span></div>
<div class="line"><a name="l00339"></a><span class="lineno"> 339</span>&#160;<span class="stringliteral">)</span></div>
<div class="line"><a name="l00340"></a><span class="lineno"> 340</span>&#160;<span class="stringliteral">RETURNS FLOAT8[]</span></div>
<div class="line"><a name="l00341"></a><span class="lineno"> 341</span>&#160;<span class="stringliteral">AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span>matrix_mem_sum_sfunc<span class="stringliteral">&#39;</span></div>
<div class="line"><a name="l00342"></a><span class="lineno"> 342</span>&#160;<span class="stringliteral">LANGUAGE C;</span></div>
<div class="line"><a name="l00343"></a><span class="lineno"> 343</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00344"></a><span class="lineno"> 344</span>&#160;<span class="stringliteral">DROP AGGREGATE IF EXISTS</span></div>
<div class="line"><a name="l00345"></a><span class="lineno"> 345</span>&#160;<span class="stringliteral">MADLIB_SCHEMA.__matrix_mem_sum</span></div>
<div class="line"><a name="l00346"></a><span class="lineno"> 346</span>&#160;<span class="stringliteral">(</span></div>
<div class="line"><a name="l00347"></a><span class="lineno"> 347</span>&#160;<span class="stringliteral"> FLOAT8[]</span></div>
<div class="line"><a name="l00348"></a><span class="lineno"> 348</span>&#160;<span class="stringliteral">);</span></div>
<div class="line"><a name="l00349"></a><span class="lineno"> 349</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00350"></a><span class="lineno"> 350</span>&#160;<span class="stringliteral">CREATE AGGREGATE</span></div>
<div class="line"><a name="l00351"></a><span class="lineno"> 351</span>&#160;<span class="stringliteral">MADLIB_SCHEMA.__matrix_mem_sum</span></div>
<div class="line"><a name="l00352"></a><span class="lineno"> 352</span>&#160;<span class="stringliteral">(</span></div>
<div class="line"><a name="l00353"></a><span class="lineno"> 353</span>&#160;<span class="stringliteral"> FLOAT8[]</span></div>
<div class="line"><a name="l00354"></a><span class="lineno"> 354</span>&#160;<span class="stringliteral">)</span></div>
<div class="line"><a name="l00355"></a><span class="lineno"> 355</span>&#160;<span class="stringliteral">(</span></div>
<div class="line"><a name="l00356"></a><span class="lineno"> 356</span>&#160;<span class="stringliteral"> stype = FLOAT8[],</span></div>
<div class="line"><a name="l00357"></a><span class="lineno"> 357</span>&#160;<span class="stringliteral"> sfunc = MADLIB_SCHEMA.__matrix_mem_sum_sfunc</span></div>
<div class="line"><a name="l00358"></a><span class="lineno"> 358</span>&#160;<span class="stringliteral">);</span></div>
<div class="line"><a name="l00359"></a><span class="lineno"> 359</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00360"></a><span class="lineno"> 360</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION</span></div>
<div class="line"><a name="l00361"></a><span class="lineno"> 361</span>&#160;<span class="stringliteral">MADLIB_SCHEMA.__matrix_column_to_array_format</span></div>
<div class="line"><a name="l00362"></a><span class="lineno"> 362</span>&#160;<span class="stringliteral">(</span></div>
<div class="line"><a name="l00363"></a><span class="lineno"> 363</span>&#160;<span class="stringliteral"> matrix_in TEXT,</span></div>
<div class="line"><a name="l00364"></a><span class="lineno"> 364</span>&#160;<span class="stringliteral"> row_id TEXT,</span></div>
<div class="line"><a name="l00365"></a><span class="lineno"> 365</span>&#160;<span class="stringliteral"> matrix_out TEXT,</span></div>
<div class="line"><a name="l00366"></a><span class="lineno"> 366</span>&#160;<span class="stringliteral"> istemp BOOLEAN</span></div>
<div class="line"><a name="l00367"></a><span class="lineno"> 367</span>&#160;<span class="stringliteral">)</span></div>
<div class="line"><a name="l00368"></a><span class="lineno"> 368</span>&#160;<span class="stringliteral">RETURNS MADLIB_SCHEMA.matrix_result AS $$</span></div>
<div class="line"><a name="l00369"></a><span class="lineno"> 369</span>&#160;<span class="stringliteral"> PythonFunctionBodyOnly(`linalg&#39;</span>, `matrix_op<span class="stringliteral">&#39;)</span></div>
<div class="line"><a name="l00370"></a><span class="lineno"> 370</span>&#160;<span class="stringliteral"> matrix_op.__matrix_column_to_array_format(matrix_in, row_id, matrix_out, istemp)</span></div>
<div class="line"><a name="l00371"></a><span class="lineno"> 371</span>&#160;<span class="stringliteral"> return [matrix_out]</span></div>
<div class="line"><a name="l00372"></a><span class="lineno"> 372</span>&#160;<span class="stringliteral">$$ LANGUAGE plpythonu STRICT;</span></div>
<div class="line"><a name="l00373"></a><span class="lineno"> 373</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00374"></a><span class="lineno"> 374</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION</span></div>
<div class="line"><a name="l00375"></a><span class="lineno"> 375</span>&#160;<span class="stringliteral">MADLIB_SCHEMA.matrix_blockize</span></div>
<div class="line"><a name="l00376"></a><span class="lineno"> 376</span>&#160;<span class="stringliteral">(</span></div>
<div class="line"><a name="l00377"></a><span class="lineno"> 377</span>&#160;<span class="stringliteral"> matrix_in TEXT,</span></div>
<div class="line"><a name="l00378"></a><span class="lineno"> 378</span>&#160;<span class="stringliteral"> rsize INT4,</span></div>
<div class="line"><a name="l00379"></a><span class="lineno"> 379</span>&#160;<span class="stringliteral"> csize INT4,</span></div>
<div class="line"><a name="l00380"></a><span class="lineno"> 380</span>&#160;<span class="stringliteral"> matrix_out TEXT</span></div>
<div class="line"><a name="l00381"></a><span class="lineno"> 381</span>&#160;<span class="stringliteral">)</span></div>
<div class="line"><a name="l00382"></a><span class="lineno"> 382</span>&#160;<span class="stringliteral">RETURNS MADLIB_SCHEMA.matrix_result AS $$</span></div>
<div class="line"><a name="l00383"></a><span class="lineno"> 383</span>&#160;<span class="stringliteral"> PythonFunctionBodyOnly(`linalg&#39;</span>, `matrix_op<span class="stringliteral">&#39;)</span></div>
<div class="line"><a name="l00384"></a><span class="lineno"> 384</span>&#160;<span class="stringliteral"> matrix_op.matrix_blockize(schema_madlib, matrix_in, rsize, csize, matrix_out)</span></div>
<div class="line"><a name="l00385"></a><span class="lineno"> 385</span>&#160;<span class="stringliteral"> return [matrix_out]</span></div>
<div class="line"><a name="l00386"></a><span class="lineno"> 386</span>&#160;<span class="stringliteral">$$ LANGUAGE plpythonu;</span></div>
<div class="line"><a name="l00387"></a><span class="lineno"> 387</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00388"></a><span class="lineno"> 388</span>&#160;<span class="stringliteral">CREATE OR REPLACE FUNCTION</span></div>
<div class="line"><a name="l00389"></a><span class="lineno"> 389</span>&#160;<span class="stringliteral">MADLIB_SCHEMA.matrix_unblockize</span></div>
<div class="line"><a name="l00390"></a><span class="lineno"> 390</span>&#160;<span class="stringliteral">(</span></div>
<div class="line"><a name="l00391"></a><span class="lineno"> 391</span>&#160;<span class="stringliteral"> matrix_in TEXT,</span></div>
<div class="line"><a name="l00392"></a><span class="lineno"> 392</span>&#160;<span class="stringliteral"> matrix_out TEXT</span></div>
<div class="line"><a name="l00393"></a><span class="lineno"> 393</span>&#160;<span class="stringliteral">)</span></div>
<div class="line"><a name="l00394"></a><span class="lineno"> 394</span>&#160;<span class="stringliteral">RETURNS MADLIB_SCHEMA.matrix_result AS $$</span></div>
<div class="line"><a name="l00395"></a><span class="lineno"> 395</span>&#160;<span class="stringliteral"> PythonFunctionBodyOnly(`linalg&#39;</span>, `matrix_op<span class="stringliteral">&#39;)</span></div>
<div class="line"><a name="l00396"></a><span class="lineno"> 396</span>&#160;<span class="stringliteral"> matrix_op.matrix_unblockize(schema_madlib, matrix_in, matrix_out)</span></div>
<div class="line"><a name="l00397"></a><span class="lineno"> 397</span>&#160;<span class="stringliteral"> return [matrix_out]</span></div>
<div class="line"><a name="l00398"></a><span class="lineno"> 398</span>&#160;<span class="stringliteral">$$ LANGUAGE plpythonu;</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</span></div>
<div class="line"><a name="l00401"></a><span class="lineno"> 401</span>&#160;<span class="stringliteral">MADLIB_SCHEMA.__matrix_unnest_block</span></div>
<div class="line"><a name="l00402"></a><span class="lineno"> 402</span>&#160;<span class="stringliteral">(</span></div>
<div class="line"><a name="l00403"></a><span class="lineno"> 403</span>&#160;<span class="stringliteral"> block FLOAT8[]</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">RETURNS SETOF FLOAT8[]</span></div>
<div class="line"><a name="l00406"></a><span class="lineno"> 406</span>&#160;<span class="stringliteral">AS &#39;</span>MODULE_PATHNAME<span class="stringliteral">&#39;, &#39;</span>unnest_block<span class="stringliteral">&#39;</span></div>
<div class="line"><a name="l00407"></a><span class="lineno"> 407</span>&#160;<span class="stringliteral">LANGUAGE C IMMUTABLE STRICT;</span></div>
<div class="line"><a name="l00408"></a><span class="lineno"> 408</span>&#160;<span class="stringliteral"></span></div>
<div class="line"><a name="l00409"></a><span class="lineno"> 409</span>&#160;<span class="stringliteral">------------------ Scale and add matrices ------------------------------</span><span class="comment"></span></div>
<div class="line"><a name="l00410"></a><span class="lineno"> 410</span>&#160;<span class="comment">/**</span></div>
<div class="line"><a name="l00411"></a><span class="lineno"> 411</span>&#160;<span class="comment"> * @brief Scale and add matrix operation ( R &lt;- A + sB)</span></div>
<div class="line"><a name="l00412"></a><span class="lineno"> 412</span>&#160;<span class="comment"> *</span></div>
<div class="line"><a name="l00413"></a><span class="lineno"> 413</span>&#160;<span class="comment"> * @param matrix_a Source matrix table A (dense matrix format)</span></div>
<div class="line"><a name="l00414"></a><span class="lineno"> 414</span>&#160;<span class="comment"> * @param matrix_b Source matrix table B (dense matrix format)</span></div>
<div class="line"><a name="l00415"></a><span class="lineno"> 415</span>&#160;<span class="comment"> * @param scale Scale for matrix B</span></div>
<div class="line"><a name="l00416"></a><span class="lineno"> 416</span>&#160;<span class="comment"> * @param matrix_r Output table for matrix R &lt;- A + sB</span></div>
<div class="line"><a name="l00417"></a><span class="lineno"> 417</span>&#160;<span class="comment"> *</span></div>
<div class="line"><a name="l00418"></a><span class="lineno"> 418</span>&#160;<span class="comment"> * @return VOID</span></div>
<div class="line"><a name="l00419"></a><span class="lineno"> 419</span>&#160;<span class="comment"> *</span></div>
<div class="line"><a name="l00420"></a><span class="lineno"> 420</span>&#160;<span class="comment"> * @usage</span></div>
<div class="line"><a name="l00421"></a><span class="lineno"> 421</span>&#160;<span class="comment"> * For matrix addition and subtration, you can use the same function</span></div>
<div class="line"><a name="l00422"></a><span class="lineno"> 422</span>&#160;<span class="comment"> * with different values of scalar</span></div>
<div class="line"><a name="l00423"></a><span class="lineno"> 423</span>&#160;<span class="comment"> * &lt;pre&gt; </span></div>
<div class="line"><a name="l00424"></a><span class="lineno"> 424</span>&#160;<span class="comment"> * SELECT matrix_scale_and_add(&#39;matrix_a&#39;, &#39;matrix_b&#39;, 1, &#39;matrix_r&#39;);</span></div>
<div class="line"><a name="l00425"></a><span class="lineno"> 425</span>&#160;<span class="comment"> * SELECT matrix_scale_and_add(&#39;matrix_a&#39;, &#39;matrix_b&#39;, -1, &#39;matrix_r&#39;);</span></div>
<div class="line"><a name="l00426"></a><span class="lineno"> 426</span>&#160;<span class="comment"> * &lt;/pre&gt;</span></div>
<div class="line"><a name="l00427"></a><span class="lineno"> 427</span>&#160;<span class="comment"> */</span></div>
<div class="line"><a name="l00428"></a><span class="lineno"> 428</span>&#160;</div>
<div class="line"><a name="l00429"></a><span class="lineno"> 429</span>&#160;CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.matrix_scale_and_add(</div>
<div class="line"><a name="l00430"></a><span class="lineno"> 430</span>&#160; matrix_a TEXT,</div>
<div class="line"><a name="l00431"></a><span class="lineno"> 431</span>&#160; matrix_b TEXT,</div>
<div class="line"><a name="l00432"></a><span class="lineno"> 432</span>&#160; scale DOUBLE PRECISION,</div>
<div class="line"><a name="l00433"></a><span class="lineno"> 433</span>&#160; matrix_r TEXT</div>
<div class="line"><a name="l00434"></a><span class="lineno"> 434</span>&#160;)</div>
<div class="line"><a name="l00435"></a><span class="lineno"> 435</span>&#160;RETURNS VOID AS $$</div>
<div class="line"><a name="l00436"></a><span class="lineno"> 436</span>&#160;PythonFunction(linalg, matrix_op, matrix_scale_and_add)</div>
<div class="line"><a name="l00437"></a><span class="lineno"> 437</span>&#160;$$ LANGUAGE plpythonu;</div>
<div class="line"><a name="l00438"></a><span class="lineno"> 438</span>&#160;</div>
<div class="line"><a name="l00439"></a><span class="lineno"> 439</span>&#160;</div>
<div class="line"><a name="l00440"></a><span class="lineno"> 440</span>&#160;------------------ Matrix Norms ------------------------------</div>
<div class="line"><a name="l00441"></a><span class="lineno"> 441</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00442"></a><span class="lineno"> 442</span>&#160;<span class="comment">/**</span></div>
<div class="line"><a name="l00443"></a><span class="lineno"> 443</span>&#160;<span class="comment"> * @brief Compute matrix norm (of various types)</span></div>
<div class="line"><a name="l00444"></a><span class="lineno"> 444</span>&#160;<span class="comment"> *</span></div>
<div class="line"><a name="l00445"></a><span class="lineno"> 445</span>&#160;<span class="comment"> * @param source_table Source matrix table (dense matrix format)</span></div>
<div class="line"><a name="l00446"></a><span class="lineno"> 446</span>&#160;<span class="comment"> * @param norm_type Type of norm used (default: fro)</span></div>
<div class="line"><a name="l00447"></a><span class="lineno"> 447</span>&#160;<span class="comment"> *</span></div>
<div class="line"><a name="l00448"></a><span class="lineno"> 448</span>&#160;<span class="comment"> * @return DOUBLE PRECISION</span></div>
<div class="line"><a name="l00449"></a><span class="lineno"> 449</span>&#160;<span class="comment"> *</span></div>
<div class="line"><a name="l00450"></a><span class="lineno"> 450</span>&#160;<span class="comment"> * @usage Currenty, we support the following norms</span></div>
<div class="line"><a name="l00451"></a><span class="lineno"> 451</span>&#160;<span class="comment"> * (a) &#39;fro&#39;: Computes the frobenius norm</span></div>
<div class="line"><a name="l00452"></a><span class="lineno"> 452</span>&#160;<span class="comment"> *</span></div>
<div class="line"><a name="l00453"></a><span class="lineno"> 453</span>&#160;<span class="comment"> * &lt;pre&gt; </span></div>
<div class="line"><a name="l00454"></a><span class="lineno"> 454</span>&#160;<span class="comment"> * SELECT matrix_norm(&#39;&lt;em&gt;matrix_table_name&lt;/em&gt;&#39;, &#39;fro&#39;);</span></div>
<div class="line"><a name="l00455"></a><span class="lineno"> 455</span>&#160;<span class="comment"> * &lt;/pre&gt;</span></div>
<div class="line"><a name="l00456"></a><span class="lineno"> 456</span>&#160;<span class="comment"> */</span></div>
<div class="line"><a name="l00457"></a><span class="lineno"> 457</span>&#160;</div>
<div class="line"><a name="l00458"></a><span class="lineno"> 458</span>&#160;CREATE OR REPLACE FUNCTION MADLIB_SCHEMA.matrix_norm(</div>
<div class="line"><a name="l00459"></a><span class="lineno"> 459</span>&#160; matrix_a TEXT,</div>
<div class="line"><a name="l00460"></a><span class="lineno"> 460</span>&#160; norm_type TEXT</div>
<div class="line"><a name="l00461"></a><span class="lineno"> 461</span>&#160;)</div>
<div class="line"><a name="l00462"></a><span class="lineno"> 462</span>&#160;RETURNS DOUBLE PRECISION AS $$</div>
<div class="line"><a name="l00463"></a><span class="lineno"> 463</span>&#160;PythonFunction(linalg, matrix_op, matrix_norm)</div>
<div class="line"><a name="l00464"></a><span class="lineno"> 464</span>&#160;$$ LANGUAGE plpythonu;</div>
<div class="line"><a name="l00465"></a><span class="lineno"> 465</span>&#160;</div>
<div class="line"><a name="l00466"></a><span class="lineno"> 466</span>&#160;CREATE OR REPLACE FUNCTION</div>
<div class="line"><a name="l00467"></a><span class="lineno"> 467</span>&#160;MADLIB_SCHEMA.matrix_norm(</div>
<div class="line"><a name="l00468"></a><span class="lineno"> 468</span>&#160; matrix_a TEXT</div>
<div class="line"><a name="l00469"></a><span class="lineno"> 469</span>&#160;)</div>
<div class="line"><a name="l00470"></a><span class="lineno"> 470</span>&#160;RETURNS DOUBLE PRECISION AS $$</div>
<div class="line"><a name="l00471"></a><span class="lineno"> 471</span>&#160; SELECT MADLIB_SCHEMA.matrix_norm($1, NULL)</div>
<div class="line"><a name="l00472"></a><span class="lineno"> 472</span>&#160;$$ LANGUAGE SQL;</div>
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