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<div class="textblock"><code>#include &lt;concepts&gt;</code><br />
<code>#include &lt;cstddef&gt;</code><br />
<code>#include &lt;expected&gt;</code><br />
<code>#include &lt;string&gt;</code><br />
<code>#include &lt;type_traits&gt;</code><br />
<code>#include &lt;vector&gt;</code><br />
<code>#include &quot;<a class="el" href="solver_2normalization_2keys_8hpp.html">serif/solver/normalization/keys.hpp</a>&quot;</code><br />
<code>#include &quot;<a class="el" href="layout_8hpp.html">serif/solver/normalization/layout.hpp</a>&quot;</code><br />
<code>#include &quot;<a class="el" href="solver_2normalization_2plan_8hpp.html">serif/solver/normalization/plan.hpp</a>&quot;</code><br />
<code>#include &quot;<a class="el" href="solver_2normalization_2diagonal_8hpp.html">serif/solver/normalization/diagonal.hpp</a>&quot;</code><br />
<code>#include &quot;<a class="el" href="solver_2normalization_2detail_2validation_8hpp.html">serif/solver/normalization/detail/validation.hpp</a>&quot;</code><br />
<code>#include &quot;<a class="el" href="point__rows_8hpp.html">serif/solver/normalization/point_rows.hpp</a>&quot;</code><br />
<code>#include &quot;<a class="el" href="scales_8hpp.html">serif/solver/normalization/scales.hpp</a>&quot;</code><br />
<code>#include &quot;<a class="el" href="computation_8hpp.html">serif/utils/dependencies/computation.hpp</a>&quot;</code><br />
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Namespaces</h2></td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceserif.html">serif</a></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceserif_1_1solver.html">serif::solver</a></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceserif_1_1solver_1_1normalization.html">serif::solver::normalization</a></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceserif_1_1solver_1_1normalization_1_1detail.html">serif::solver::normalization::detail</a></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="concepts" name="concepts"></a>
Concepts</h2></td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">concept &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="conceptserif_1_1solver_1_1normalization_1_1detail_1_1_provides_scale.html">serif::solver::normalization::detail::ProvidesScale</a></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="func-members" name="func-members"></a>
Functions</h2></td></tr>
<tr class="memitem:ac1ad5aefe378f92816041e194bad5db6" id="r_ac1ad5aefe378f92816041e194bad5db6"><td class="memTemplParams" colspan="2">template&lt;<a class="el" href="namespaceserif_1_1discretization_1_1blocks.html#aca74ff25d2168fcdec080e03ebc023ea">discretization::blocks::RepresentedValueKind</a> Kind, typename CoordinateT, CoordinateLayoutType LayoutT&gt; </td></tr>
<tr class="memitem:ac1ad5aefe378f92816041e194bad5db6"><td class="memTemplItemLeft" align="right" valign="top">std::expected&lt; std::size_t, std::string &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespaceserif_1_1solver_1_1normalization_1_1detail.html#ac1ad5aefe378f92816041e194bad5db6">serif::solver::normalization::detail::coordinate_size</a> (const LayoutT &amp;layout)</td></tr>
<tr class="memdesc:ac1ad5aefe378f92816041e194bad5db6"><td class="mdescLeft">&#160;</td><td class="mdescRight">Reject a layout that changes the arity of a declared global scalar. <br /></td></tr>
<tr class="separator:ac1ad5aefe378f92816041e194bad5db6"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a75c5cfc216544112bdac460720ca968e" id="r_a75c5cfc216544112bdac460720ca968e"><td class="memTemplParams" colspan="2">template&lt;<a class="el" href="namespaceserif_1_1discretization_1_1blocks.html#aca74ff25d2168fcdec080e03ebc023ea">discretization::blocks::RepresentedValueKind</a> Kind, typename CoordinateT, CoordinateLayoutType LayoutT&gt; </td></tr>
<tr class="memitem:a75c5cfc216544112bdac460720ca968e"><td class="memTemplItemLeft" align="right" valign="top">std::expected&lt; void, std::string &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespaceserif_1_1solver_1_1normalization_1_1detail.html#a75c5cfc216544112bdac460720ca968e">serif::solver::normalization::detail::check_coordinate_size</a> (const LayoutT &amp;layout, std::size_t received)</td></tr>
<tr class="memdesc:a75c5cfc216544112bdac460720ca968e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Check supplied metrics or custom factors before publishing a coordinate result. <br /></td></tr>
<tr class="separator:a75c5cfc216544112bdac460720ca968e"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aa1a3e6ee3169b51c03d882bfa7250d38" id="r_aa1a3e6ee3169b51c03d882bfa7250d38"><td class="memTemplParams" colspan="2">template&lt;<a class="el" href="namespaceserif_1_1discretization_1_1blocks.html#aca74ff25d2168fcdec080e03ebc023ea">discretization::blocks::RepresentedValueKind</a> Kind, typename CoordinateT, typename LayoutT, typename ScalesT&gt; </td></tr>
<tr class="memitem:aa1a3e6ee3169b51c03d882bfa7250d38"><td class="memTemplItemLeft" align="right" valign="top">auto&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespaceserif_1_1solver_1_1normalization_1_1detail.html#aa1a3e6ee3169b51c03d882bfa7250d38">serif::solver::normalization::detail::coordinate_computation</a> (<a class="el" href="structserif_1_1solver_1_1normalization_1_1_identity_coordinate.html">IdentityCoordinate</a>)</td></tr>
<tr class="memdesc:aa1a3e6ee3169b51c03d882bfa7250d38"><td class="mdescLeft">&#160;</td><td class="mdescRight">Identity preparation requires a layout but no scale or metric sources. <br /></td></tr>
<tr class="separator:aa1a3e6ee3169b51c03d882bfa7250d38"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:afcdd1d7eb65d13997c370f5cdaad4bbd" id="r_afcdd1d7eb65d13997c370f5cdaad4bbd"><td class="memTemplParams" colspan="2">template&lt;<a class="el" href="namespaceserif_1_1discretization_1_1blocks.html#aca74ff25d2168fcdec080e03ebc023ea">discretization::blocks::RepresentedValueKind</a> Kind, typename CoordinateT, typename LayoutT, typename ScalesT, typename QuantityT&gt; <br />
requires ProvidesScale&lt;ScalesT, QuantityT&gt;</td></tr>
<tr class="memitem:afcdd1d7eb65d13997c370f5cdaad4bbd"><td class="memTemplItemLeft" align="right" valign="top">auto&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespaceserif_1_1solver_1_1normalization_1_1detail.html#afcdd1d7eb65d13997c370f5cdaad4bbd">serif::solver::normalization::detail::coordinate_computation</a> (<a class="el" href="structserif_1_1solver_1_1normalization_1_1_physical_riesz_coordinate.html">PhysicalRieszCoordinate</a>&lt; QuantityT, <a class="el" href="structserif_1_1solver_1_1normalization_1_1_unit_metric.html">UnitMetric</a> &gt;)</td></tr>
<tr class="memdesc:afcdd1d7eb65d13997c370f5cdaad4bbd"><td class="mdescLeft">&#160;</td><td class="mdescRight">Algebraic coordinates use a scalar metric without allocating an intermediate vector of ones. <br /></td></tr>
<tr class="separator:afcdd1d7eb65d13997c370f5cdaad4bbd"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a8ee25cdcd8a6a00f5499cf304ce26029" id="r_a8ee25cdcd8a6a00f5499cf304ce26029"><td class="memTemplParams" colspan="2">template&lt;<a class="el" href="namespaceserif_1_1discretization_1_1blocks.html#aca74ff25d2168fcdec080e03ebc023ea">discretization::blocks::RepresentedValueKind</a> Kind, typename CoordinateT, typename LayoutT, typename ScalesT, typename QuantityT, typename MetricT&gt; <br />
requires (!std::same_as&lt;MetricT, <a class="el" href="structserif_1_1solver_1_1normalization_1_1_unit_metric.html">UnitMetric</a>&gt; &amp;&amp; ProvidesScale&lt;ScalesT, QuantityT&gt;)</td></tr>
<tr class="memitem:a8ee25cdcd8a6a00f5499cf304ce26029"><td class="memTemplItemLeft" align="right" valign="top">auto&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespaceserif_1_1solver_1_1normalization_1_1detail.html#a8ee25cdcd8a6a00f5499cf304ce26029">serif::solver::normalization::detail::coordinate_computation</a> (<a class="el" href="structserif_1_1solver_1_1normalization_1_1_physical_riesz_coordinate.html">PhysicalRieszCoordinate</a>&lt; QuantityT, MetricT &gt;)</td></tr>
<tr class="memdesc:a8ee25cdcd8a6a00f5499cf304ce26029"><td class="mdescLeft">&#160;</td><td class="mdescRight">Both coordinate roles consume the same cached reference metric with different primal/dual formulas. <br /></td></tr>
<tr class="separator:a8ee25cdcd8a6a00f5499cf304ce26029"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a13f5a9f97b97943cd2c743ef9b409707" id="r_a13f5a9f97b97943cd2c743ef9b409707"><td class="memTemplParams" colspan="2">template&lt;<a class="el" href="namespaceserif_1_1discretization_1_1blocks.html#aca74ff25d2168fcdec080e03ebc023ea">discretization::blocks::RepresentedValueKind</a> Kind, typename CoordinateT, typename LayoutT, typename ScalesT, typename QuantityT, typename MetricT, typename PointQuantityT, typename SelectionT&gt; <br />
requires (Kind == <a class="el" href="namespaceserif_1_1discretization_1_1blocks.html#aca74ff25d2168fcdec080e03ebc023eaa4db598f63d4aea6a3c8eaddfe5c2b1e9">discretization::blocks::RepresentedValueKind::residual</a> &amp;&amp; !std::same_as&lt;MetricT, <a class="el" href="structserif_1_1solver_1_1normalization_1_1_unit_metric.html">UnitMetric</a>&gt; &amp;&amp; ProvidesScale&lt;ScalesT, QuantityT&gt; &amp;&amp; ProvidesScale&lt;ScalesT, PointQuantityT&gt;)</td></tr>
<tr class="memitem:a13f5a9f97b97943cd2c743ef9b409707"><td class="memTemplItemLeft" align="right" valign="top">auto&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespaceserif_1_1solver_1_1normalization_1_1detail.html#a13f5a9f97b97943cd2c743ef9b409707">serif::solver::normalization::detail::coordinate_computation</a> (<a class="el" href="structserif_1_1solver_1_1normalization_1_1_with_point_rows.html">WithPointRows</a>&lt; <a class="el" href="structserif_1_1solver_1_1normalization_1_1_physical_riesz_coordinate.html">PhysicalRieszCoordinate</a>&lt; QuantityT, MetricT &gt;, PointQuantityT, SelectionT &gt;)</td></tr>
<tr class="memdesc:a13f5a9f97b97943cd2c743ef9b409707"><td class="mdescLeft">&#160;</td><td class="mdescRight">Read the replacement's quantity independently of the bulk equation's scale. <br /></td></tr>
<tr class="separator:a13f5a9f97b97943cd2c743ef9b409707"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a5ac3575f3e597436e79d1d80891c0c87" id="r_a5ac3575f3e597436e79d1d80891c0c87"><td class="memTemplParams" colspan="2">template&lt;<a class="el" href="namespaceserif_1_1discretization_1_1blocks.html#aca74ff25d2168fcdec080e03ebc023ea">discretization::blocks::RepresentedValueKind</a> Kind, typename CoordinateT, typename LayoutT, typename ScalesT, typename QuantityT&gt; <br />
requires ProvidesScale&lt;ScalesT, QuantityT&gt;</td></tr>
<tr class="memitem:a5ac3575f3e597436e79d1d80891c0c87"><td class="memTemplItemLeft" align="right" valign="top">auto&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespaceserif_1_1solver_1_1normalization_1_1detail.html#a5ac3575f3e597436e79d1d80891c0c87">serif::solver::normalization::detail::coordinate_computation</a> (<a class="el" href="structserif_1_1solver_1_1normalization_1_1_dimensionless_riesz_coordinate.html">DimensionlessRieszCoordinate</a>&lt; QuantityT, <a class="el" href="structserif_1_1solver_1_1normalization_1_1_unit_metric.html">UnitMetric</a>, <a class="el" href="namespaceserif_1_1solver_1_1normalization.html#ac75238439fd5d1610b177bf85e9376d9ac7f6ad568392380a8f4b4cecbaccb64c">ReferenceGeometry::algebraic</a> &gt;)</td></tr>
<tr class="memdesc:a5ac3575f3e597436e79d1d80891c0c87"><td class="mdescLeft">&#160;</td><td class="mdescRight">Global scalars have no geometric measure to remove. <br /></td></tr>
<tr class="separator:a5ac3575f3e597436e79d1d80891c0c87"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a3fc0f05f92bc58dad7722af44b921358" id="r_a3fc0f05f92bc58dad7722af44b921358"><td class="memTemplParams" colspan="2">template&lt;<a class="el" href="namespaceserif_1_1discretization_1_1blocks.html#aca74ff25d2168fcdec080e03ebc023ea">discretization::blocks::RepresentedValueKind</a> Kind, typename CoordinateT, typename LayoutT, typename ScalesT, typename QuantityT, typename MetricT, <a class="el" href="namespaceserif_1_1solver_1_1normalization.html#ac75238439fd5d1610b177bf85e9376d9">ReferenceGeometry</a> Geometry&gt; <br />
requires (!std::same_as&lt;MetricT, <a class="el" href="structserif_1_1solver_1_1normalization_1_1_unit_metric.html">UnitMetric</a>&gt; &amp;&amp; ProvidesScale&lt;ScalesT, QuantityT&gt; &amp;&amp; ProvidesScale&lt;ScalesT, <a class="el" href="structserif_1_1dimensions_1_1_length.html">dimensions::Length</a>&gt;)</td></tr>
<tr class="memitem:a3fc0f05f92bc58dad7722af44b921358"><td class="memTemplItemLeft" align="right" valign="top">auto&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespaceserif_1_1solver_1_1normalization_1_1detail.html#a3fc0f05f92bc58dad7722af44b921358">serif::solver::normalization::detail::coordinate_computation</a> (<a class="el" href="structserif_1_1solver_1_1normalization_1_1_dimensionless_riesz_coordinate.html">DimensionlessRieszCoordinate</a>&lt; QuantityT, MetricT, Geometry &gt;)</td></tr>
<tr class="memdesc:a3fc0f05f92bc58dad7722af44b921358"><td class="mdescLeft">&#160;</td><td class="mdescRight">Cancel the reference measure while retaining the native finite-element coordinate representation. <br /></td></tr>
<tr class="separator:a3fc0f05f92bc58dad7722af44b921358"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aee3ee51cacba999bfbc8f87eb57fe2f0" id="r_aee3ee51cacba999bfbc8f87eb57fe2f0"><td class="memTemplParams" colspan="2">template&lt;<a class="el" href="namespaceserif_1_1discretization_1_1blocks.html#aca74ff25d2168fcdec080e03ebc023ea">discretization::blocks::RepresentedValueKind</a> Kind, typename CoordinateT, typename LayoutT, typename ScalesT, typename QuantityT, typename MetricT, <a class="el" href="namespaceserif_1_1solver_1_1normalization.html#ac75238439fd5d1610b177bf85e9376d9">ReferenceGeometry</a> Geometry, typename PointQuantityT, typename SelectionT&gt; <br />
requires (Kind == <a class="el" href="namespaceserif_1_1discretization_1_1blocks.html#aca74ff25d2168fcdec080e03ebc023eaa4db598f63d4aea6a3c8eaddfe5c2b1e9">discretization::blocks::RepresentedValueKind::residual</a> &amp;&amp; !std::same_as&lt;MetricT, <a class="el" href="structserif_1_1solver_1_1normalization_1_1_unit_metric.html">UnitMetric</a>&gt; &amp;&amp; ProvidesScale&lt;ScalesT, QuantityT&gt; &amp;&amp; ProvidesScale&lt;ScalesT, PointQuantityT&gt; &amp;&amp; ProvidesScale&lt;ScalesT, <a class="el" href="structserif_1_1dimensions_1_1_length.html">dimensions::Length</a>&gt;)</td></tr>
<tr class="memitem:aee3ee51cacba999bfbc8f87eb57fe2f0"><td class="memTemplItemLeft" align="right" valign="top">auto&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespaceserif_1_1solver_1_1normalization_1_1detail.html#aee3ee51cacba999bfbc8f87eb57fe2f0">serif::solver::normalization::detail::coordinate_computation</a> (<a class="el" href="structserif_1_1solver_1_1normalization_1_1_with_point_rows.html">WithPointRows</a>&lt; <a class="el" href="structserif_1_1solver_1_1normalization_1_1_dimensionless_riesz_coordinate.html">DimensionlessRieszCoordinate</a>&lt; QuantityT, MetricT, Geometry &gt;, PointQuantityT, SelectionT &gt;)</td></tr>
<tr class="memdesc:aee3ee51cacba999bfbc8f87eb57fe2f0"><td class="mdescLeft">&#160;</td><td class="mdescRight">Remove geometric units only from weak rows, leaving each strong point equation in its own physical units. <br /></td></tr>
<tr class="separator:aee3ee51cacba999bfbc8f87eb57fe2f0"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:acfd136d53b8a7250cefedd9232eea672" id="r_acfd136d53b8a7250cefedd9232eea672"><td class="memTemplParams" colspan="2">template&lt;<a class="el" href="namespaceserif_1_1discretization_1_1blocks.html#aca74ff25d2168fcdec080e03ebc023ea">discretization::blocks::RepresentedValueKind</a> Kind, typename CoordinateT, typename LayoutT, typename ScalesT, typename PrescriptionT&gt; <br />
requires requires(const std::remove_cvref_t&lt;PrescriptionT&gt;&amp; prescription, std::size_t size) { { prescription.prepare_factors(<a class="el" href="structserif_1_1solver_1_1normalization_1_1keys_1_1_factors.html">keys::Factors</a>&lt;Kind, CoordinateT&gt;{}, size) } -&gt; std::same_as&lt;std::expected&lt;std::vector&lt;double&gt;, std::string&gt;&gt;; }</td></tr>
<tr class="memitem:acfd136d53b8a7250cefedd9232eea672"><td class="memTemplItemLeft" align="right" valign="top">auto&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespaceserif_1_1solver_1_1normalization_1_1detail.html#acfd136d53b8a7250cefedd9232eea672">serif::solver::normalization::detail::coordinate_computation</a> (<a class="el" href="structserif_1_1solver_1_1normalization_1_1_runtime_prepared_coordinate.html">RuntimePreparedCoordinate</a>&lt; PrescriptionT &gt;)</td></tr>
<tr class="memdesc:acfd136d53b8a7250cefedd9232eea672"><td class="mdescLeft">&#160;</td><td class="mdescRight">Invoke only the exact declared prescription, supplied as a tracked source rather than a hidden mutable capture. <br /></td></tr>
<tr class="separator:acfd136d53b8a7250cefedd9232eea672"><td class="memSeparator" colspan="2">&#160;</td></tr>
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