96 lines
4.1 KiB
XML
96 lines
4.1 KiB
XML
<?xml-stylesheet type="text/xsl" href="summary.xsl"?>
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<lv:package
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xmlns:lv="http://www.lovullo.com/rater"
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xmlns:c="http://www.lovullo.com/calc"
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xmlns:t="http://www.lovullo.com/rater/apply-template"
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xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"
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xsi:schemaLocation="http://www.lovullo.com/rater ../../rater.xsd"
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core="true"
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name="core/vector/matrix"
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desc="Matrix (vector of vectors) arithmetic">
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<lv:import package="../base" />
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<lv:import package="list" />
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<!--
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Extracts a vector of rates (a value for each location) associated with the
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requested class and line codes
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This seems more complicated/confusing than it really is, so it helps to
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look at an example. Consider that we have the following data passed to this
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template (assuming that this is the data that will exist at runtime):
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R = [ [ "A", "B" ], [ "C" ], [ "D", "E" ] ]
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C = [ [ 1 , 0 ], [ 0 ], [ 0, 1 ] ]
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L = "gl"
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Given matrix R (@rate_matrix@) and the classification matches C, for any
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index that matches the given line L, a dot product will be performed. Let
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us assume that indexes 0 and 2 match GL; we would then have the following
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dot product:
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R = [ [ "A", "B" ], ..., [ "D", "E" ] ]
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C = [ [ 1 , 0 ], ..., [ 0, 1 ] ]
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= [ "A", "E" ]
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And so the resulting vector would be [ "A", "E" ]. To put this into an
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example within the context of dwelling, let C above be the classification
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set for all vacant buildings. Then, [ "A", "E" ] would be the rate
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associated with the vacant building class code for locations 0 and 2
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respectively.
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If multiple matches are found per location, then the two rates will be
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summed (as that is how dot products work), which is obviously not good.
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However, this should not be a problem, because you should not have
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duplicate class codes per location. Fix your data if that happens.
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(Note that the dot product is actually performed for each index and then
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multiplied by the classification match __CMATCH__, so while the effect
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above is true, the result is achieved in a slightly different manner.)
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-->
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<!-- TODO: more generic name and documentation; we are in the core, after all -->
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<lv:template name="_rate-vector_" desc="Matches against a matrix of classes and a matrix of rates and returns a vector representing the rates per location">
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<lv:param name="@line@" desc="Line code classification string" />
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<lv:param name="@class_set@" desc="Matrix containing line classification matches" />
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<lv:param name="@into@" desc="Variable to which the vector will be assigned" />
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<!-- this would be the sum of all the rates, which really is useless, but the XML requires it -->
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<lv:param name="@yields@" desc="Variable to yield to (useless, but required)">
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<lv:text>__</lv:text>
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<lv:param-value name="@into@" />
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</lv:param>
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<lv:param name="@rate_matrix@" desc="Matrix containing the rates for the given line">
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<lv:text>rate_</lv:text>
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<lv:param-value name="@line@" />
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</lv:param>
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<lv:rate-each class="@line@" accumulate="none" yields="@yields@" generates="@into@" index="k">
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<!-- take the dot product of the two vectors (each part of a larger matrix)
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to get the rate for the associated class code -->
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<c:product dot="true" label="Dot product between the class and rate vectors for each location will yield the respective rate per location">
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<c:value-of name="@class_set@" index="k" />
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<c:value-of name="@rate_matrix@" index="k" />
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</c:product>
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</lv:rate-each>
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</lv:template>
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<lv:function name="mcol" desc="Retrieve a matrix column as a vector">
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<lv:param name="matrix" type="float" set="matrix" desc="Matrix" />
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<lv:param name="col" type="integer" desc="Column index (0-indexed)" />
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<!-- generate a vector containing only the requested column from each row -->
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<t:cons-until-empty set="matrix" car="row">
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<c:value-of name="row">
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<c:index>
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<c:value-of name="col" />
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</c:index>
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</c:value-of>
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</t:cons-until-empty>
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</lv:function>
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</lv:package>
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