132 lines
4.4 KiB
XML
132 lines
4.4 KiB
XML
<?xml version="1.0"?>
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<!--
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Copyright (C) 2014-2023 Ryan Specialty, LLC.
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This file is part of tame-core.
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tame-core is free software: you can redistribute it and/or modify it
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under the terms of the GNU General Public License as
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published by the Free Software Foundation, either version 3 of the
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License, or (at your option) any later version.
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This program is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License
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along with this program. If not, see <http://www.gnu.org/licenses/>.
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-->
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<package xmlns="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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core="true"
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desc="Folding and Unfolding of Vectors">
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<import package="../base" />
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<import package="filter" export="true" />
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The term ``fold'' is also referred to as ``reduce''---%
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they are synonymous.
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Unless otherwise specified,
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folding occurs left-to-right.
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\emph{Unfolding} is the opposite of a reduction---%
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it \emph{generates} values from existing values.
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<section title="Matrix Folding">
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\ref{_fold-matrix_} folds a matrix into a vector by summing each of
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the~rows.
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<template name="_fold-matrix_"
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desc="Folds matrix into a vector by summing rows">
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<param name="@name@" desc="Matrix to fold" />
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<param name="@class@" desc="Iteration vector of desired length" />
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<param name="@generates@" desc="Generator name (to yield)" />
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<param name="@yields@" desc="Yield name">
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<text></text>
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</param>
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<rate-each class="@class@" yields="@yields@"
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generates="@generates@" index="k">
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<c:let>
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<c:values>
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<c:value name="row" type="float" set="vector"
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desc="Matrix row">
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<c:value-of name="@name@" index="k" />
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</c:value>
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</c:values>
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<c:sum of="row" />
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</c:let>
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</rate-each>
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</template>
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</section>
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<section title="Matrix Generation">
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\ref{_unfold-vector-grouped_} generates a matrix from a vector---%
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that is, it generates vectors within a vector---%
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by grouping values.
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The \tt{@class@} is used both as a predicate and as a determination of
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the resulting vector's length
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(the~number of rows in the resulting matrix).
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If non-matching,
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no columns will be produced for that respective row.
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\tt{@src@} is the vector to be unfolded,
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containing the raw values to be grouped.
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\tt{@grouping@} \should be the same length as~\ref{@src@} and determines
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the group~(row) in which the respective value should appear.
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\ref{@generates@} names the resulting matrix and~\ref{@desc@} provides
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its description.
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<template name="_unfold-vector-grouped_"
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desc="Unfold vector into a matrix by grouping">
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<param name="@class@" desc="Iteration vector of desired length" />
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<param name="@src@" desc="Source vector" />
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<param name="@grouping@" desc="Grouping vector" />
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<param name="@generates@" desc="Generator name (to yield)" />
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<param name="@desc@" desc="Generator description">
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<text>Unfolded vector </text>
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<param-value name="@src@" />
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<text> grouped by </text>
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<param-value name="@grouping@" />
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</param>
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<param name="@lengthv@" desc="Length vector (of desired length)">
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<param-class-to-yields name="@class@" />
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</param>
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<rate yields="_{@generates@}">
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<c:sum of="@lengthv@" dim="matrix"
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generates="@generates@" index="k"
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desc="@desc@">
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<c:cases>
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<c:case label="Unfold on class vector match">
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<c:when name="@lengthv@" index="k" />
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<c:apply name="vfilter_lookup"
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vector_pred="@grouping@" vector_src="@src@"
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value="k"
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start_index="#0" />
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</c:case>
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<c:otherwise label="Ignore on class vector non-match">
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<c:vector />
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</c:otherwise>
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</c:cases>
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</c:sum>
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</rate>
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</template>
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</section>
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</package>
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