tame/core/numeric/common.xml

<?xml version="1.0" encoding="ISO-8859-1"?>
<!--
  Copyright (C) 2015  LoVullo Associates, Inc.

  This file is part of tame-core.

  tame-core is free software: you can redistribute it and/or modify it
  under the terms of the GNU Lesser General Public License as
  published by the Free Software Foundation, either version 3 of the
  License, or (at your option) any later version.

  This program is distributed in the hope that it will be useful,
  but WITHOUT ANY WARRANTY; without even the implied warranty of
  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
  GNU General Public License for more details.

  You should have received a copy of the GNU General Public License
  along with this program.  If not, see <http://www.gnu.org/licenses/>.
-->
<package xmlns="http://www.lovullo.com/rater"
  xmlns:c="http://www.lovullo.com/calc"
  xmlns:t="http://www.lovullo.com/rater/apply-template"
  core="true"
  desc="General numeric opreations">

  <import package="../base" />



  <section title="Stepping">
    Due to the declarative nature of~TAME, recursive operations
    needing to step are~not all that common.  These operations are
    useful when converting between 1-indexed and 0-indexed data.

    \ref{_inc_} increments a value by a~single step (default~1).

    <template name="_inc_"
              desc="Increment value [by 1]">
      <param name="@values@" desc="Value to increment (nodes)" />

      <param name="@value@" desc="Value to decrement by (default 1)">
        <text>1</text>
      </param>


      <c:sum>
        <param-copy name="@values@" />

        <c:const value="@value@"
                 desc="Increment by 1" />
      </c:sum>
    </template>


    \ref{_dec_} decrements a value by a~single step (default~1).

    <template name="_dec_"
              desc="Decrement value [by 1]">
      <param name="@values@" desc="Value to decrement (nodes)" />

      <param name="@value@" desc="Value to decrement by (default 1)">
        <text>1</text>
      </param>


      <c:sum>
        <param-copy name="@values@" />

        <t:negate>
          <c:const value="@value@"
                   desc="Decrement by 1" />
        </t:negate>
      </c:sum>
    </template>
  </section>



  <section title="Negation">
    Negation is a common task and it was tedious in older versions of
    TAME\footnote{Before it was even called TAME, actually.}  For
    these situations, \ref{NEGATE} is provided to avoid having to use
    a~\ref{const} expression.  To avoid a {\tt product} expression
    altogether, use~\ref{_negate_}.

    <const name="NEGATE" value="-1"
           desc="Negate a value"
           sym="-" />


    <template name="_negate_"
              desc="Negate an expression">
      <param name="@values@" desc="Expression to negate" />
      <param name="@label@"  desc="Application label (default empty)">
        <text></text>
      </param>

      <c:product label="@label@">
        <c:value-of name="NEGATE" />
        <param-copy name="@values@" />
      </c:product>
    </template>
  </section>



  <!-- Everything below this line must be moved. -->


  <template name="_percent-of_" desc="Take percentage of a value">
    <param name="@value@" desc="Value to take percentage of" />
    <param name="@index@" desc="Index" />
    <param name="@percent@" desc="Percent (as a whole number)" />

    <param name="@desc@" desc="Optional description">
      <text>Percent to reduce</text>
    </param>

    <c:product>
      <c:value-of name="@value@" index="@index@" />
      <t:ptor value="@percent@" desc="@desc@" />
    </c:product>
  </template>



  <!--
    Calculates a value based on the given multiplier if the given value falls
    within the given range
  -->
  <function name="rangeadd" desc="Add a value multiplier for a given range">
    <param name="low"  type="float" desc="Lower bound, inclusive" />
    <param name="high" type="float" desc="Upper bound, inclusive" />
    <param name="val"  type="float" desc="Value to compare" />
    <param name="mult" type="float" desc="Range multiplier" />

    <c:product>
      <c:when name="val">
        <c:gte>
          <c:value-of name="low" />
        </c:gte>
      </c:when>
      <c:when name="val">
        <c:lte>
          <c:value-of name="high" />
        </c:lte>
      </c:when>

      <!-- atop of the 0.00003 we've already provided = 0.000035 -->
      <c:value-of name="mult" />
      <c:sum>
        <c:value-of name="val" />
        <!-- subtract -->
        <c:product>
          <c:value-of name="NEGATE" />
          <c:value-of name="low" />
        </c:product>
      </c:sum>
    </c:product>
  </function>
</package>