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<div class="textblock"><code>#include &lt;algorithm&gt;</code><br />
<code>#include &lt;concepts&gt;</code><br />
<code>#include &lt;span&gt;</code><br />
<code>#include &quot;<a class="el" href="failure_8hpp.html">serif/geometry/deformation/failure.hpp</a>&quot;</code><br />
<code>#include &quot;<a class="el" href="action__storage_8hpp.html">serif/geometry/deformation/detail/action_storage.hpp</a>&quot;</code><br />
<code>#include &quot;<a class="el" href="spaces_8hpp.html">serif/geometry/deformation/spaces.hpp</a>&quot;</code><br />
<code>#include &quot;<a class="el" href="geometry_2deformation_2workspace_8hpp.html">serif/geometry/deformation/workspace.hpp</a>&quot;</code><br />
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Include dependency graph for actions.hpp:</div>
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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_1geometry.html">serif::geometry</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_1geometry_1_1deformation.html">serif::geometry::deformation</a></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table><table class="memberdecls">
<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_1geometry_1_1deformation_1_1_deformation_dimensions.html">serif::geometry::deformation::DeformationDimensions</a></td></tr>
<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matching lengths never replace the physical meanings of the input and output spaces. <br /></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</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_1geometry_1_1deformation_1_1_linear_deformation_map.html">serif::geometry::deformation::LinearDeformationMap</a></td></tr>
<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Fixed maps provide just forward and transpose actions with caller-owned scratch. <br /></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</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_1geometry_1_1deformation_1_1_differentiable_deformation_map.html">serif::geometry::deformation::DifferentiableDeformationMap</a></td></tr>
<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Nonlinear maps explicitly provide every term needed by a Newton force pullback. <br /></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</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_1geometry_1_1deformation_1_1_deformation_map.html">serif::geometry::deformation::DeformationMap</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:aa3ab7cc89a2262523938808363fda865" id="r_aa3ab7cc89a2262523938808363fda865"><td class="memTemplParams" colspan="2">template&lt;DeformationMap Map&gt; </td></tr>
<tr class="memitem:aa3ab7cc89a2262523938808363fda865"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="namespaceserif_1_1geometry_1_1deformation.html#ae1f99a74025eac52e6ff4a4b77fb41c6">DeformationWorkspace</a>&lt; Map &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespaceserif_1_1geometry_1_1deformation.html#aa3ab7cc89a2262523938808363fda865">serif::geometry::deformation::make_deformation_workspace</a> (const Map &amp;map)</td></tr>
<tr class="memdesc:aa3ab7cc89a2262523938808363fda865"><td class="mdescLeft">&#160;</td><td class="mdescRight">Allocate action scratch explicitly, once per independent caller. <br /></td></tr>
<tr class="separator:aa3ab7cc89a2262523938808363fda865"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ad539328115ca03a435d339f2c551a21b" id="r_ad539328115ca03a435d339f2c551a21b"><td class="memTemplParams" colspan="2">template&lt;DeformationMap Map&gt; </td></tr>
<tr class="memitem:ad539328115ca03a435d339f2c551a21b"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="namespaceserif_1_1geometry_1_1deformation.html#a08306ee593c172f4877facc061e98f97">DeformationStatus</a>&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespaceserif_1_1geometry_1_1deformation.html#ad539328115ca03a435d339f2c551a21b">serif::geometry::deformation::build_displacement</a> (const Map &amp;map, std::span&lt; const double &gt; parameters, std::span&lt; double &gt; displacement, <a class="el" href="namespaceserif_1_1geometry_1_1deformation.html#ae1f99a74025eac52e6ff4a4b77fb41c6">DeformationWorkspace</a>&lt; Map &gt; &amp;workspace)</td></tr>
<tr class="memdesc:ad539328115ca03a435d339f2c551a21b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Evaluate physical displacement with caller-owned output and scratch. All action outputs must be disjoint from their inputs. Workspace storage is reserved for the map and must not supply public input or output spans. <br /></td></tr>
<tr class="separator:ad539328115ca03a435d339f2c551a21b"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a47622764fd6178445526c8b3d984a6b2" id="r_a47622764fd6178445526c8b3d984a6b2"><td class="memTemplParams" colspan="2">template&lt;DeformationMap Map&gt; </td></tr>
<tr class="memitem:a47622764fd6178445526c8b3d984a6b2"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="namespaceserif_1_1geometry_1_1deformation.html#a08306ee593c172f4877facc061e98f97">DeformationStatus</a>&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespaceserif_1_1geometry_1_1deformation.html#a47622764fd6178445526c8b3d984a6b2">serif::geometry::deformation::apply_jacobian</a> (const Map &amp;map, std::span&lt; const double &gt; parameters, std::span&lt; const double &gt; direction, std::span&lt; double &gt; displacement_direction, <a class="el" href="namespaceserif_1_1geometry_1_1deformation.html#ae1f99a74025eac52e6ff4a4b77fb41c6">DeformationWorkspace</a>&lt; Map &gt; &amp;workspace)</td></tr>
<tr class="memdesc:a47622764fd6178445526c8b3d984a6b2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Linear maps reuse their primal action; nonlinear maps supply their exact tangent. <br /></td></tr>
<tr class="separator:a47622764fd6178445526c8b3d984a6b2"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a28c839bb898ee76ac62ceaddadcba6b1" id="r_a28c839bb898ee76ac62ceaddadcba6b1"><td class="memTemplParams" colspan="2">template&lt;DeformationMap Map&gt; </td></tr>
<tr class="memitem:a28c839bb898ee76ac62ceaddadcba6b1"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="namespaceserif_1_1geometry_1_1deformation.html#a08306ee593c172f4877facc061e98f97">DeformationStatus</a>&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespaceserif_1_1geometry_1_1deformation.html#a28c839bb898ee76ac62ceaddadcba6b1">serif::geometry::deformation::apply_jacobian_transpose</a> (const Map &amp;map, std::span&lt; const double &gt; parameters, std::span&lt; const double &gt; displacement_dual, std::span&lt; double &gt; parameter_dual, <a class="el" href="namespaceserif_1_1geometry_1_1deformation.html#ae1f99a74025eac52e6ff4a4b77fb41c6">DeformationWorkspace</a>&lt; Map &gt; &amp;workspace)</td></tr>
<tr class="memdesc:a28c839bb898ee76ac62ceaddadcba6b1"><td class="mdescLeft">&#160;</td><td class="mdescRight">Transfer virtual work from the displacement field to its independent shape coefficients. <br /></td></tr>
<tr class="separator:a28c839bb898ee76ac62ceaddadcba6b1"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a5738813c140911a0c9ec69eec58af8e7" id="r_a5738813c140911a0c9ec69eec58af8e7"><td class="memTemplParams" colspan="2">template&lt;DeformationMap Map&gt; </td></tr>
<tr class="memitem:a5738813c140911a0c9ec69eec58af8e7"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="namespaceserif_1_1geometry_1_1deformation.html#a08306ee593c172f4877facc061e98f97">DeformationStatus</a>&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespaceserif_1_1geometry_1_1deformation.html#a5738813c140911a0c9ec69eec58af8e7">serif::geometry::deformation::apply_pullback_derivative</a> (const Map &amp;map, std::span&lt; const double &gt; parameters, std::span&lt; const double &gt; direction, std::span&lt; const double &gt; displacement_dual, std::span&lt; double &gt; parameter_dual, <a class="el" href="namespaceserif_1_1geometry_1_1deformation.html#ae1f99a74025eac52e6ff4a4b77fb41c6">DeformationWorkspace</a>&lt; Map &gt; &amp;workspace)</td></tr>
<tr class="memdesc:a5738813c140911a0c9ec69eec58af8e7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Differentiate the transpose at fixed dual; zero is justified only for a declared linear map. <br /></td></tr>
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Variables</h2></td></tr>
<tr class="memitem:a6947f0057c614e85f67ad79f50a11606" id="r_a6947f0057c614e85f67ad79f50a11606"><td class="memTemplParams" colspan="2">template&lt;typename Map&gt; </td></tr>
<tr class="memitem:a6947f0057c614e85f67ad79f50a11606"><td class="memTemplItemLeft" align="right" valign="top">constexpr bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespaceserif_1_1geometry_1_1deformation.html#a6947f0057c614e85f67ad79f50a11606">serif::geometry::deformation::is_linear_deformation</a></td></tr>
<tr class="memdesc:a6947f0057c614e85f67ad79f50a11606"><td class="mdescLeft">&#160;</td><td class="mdescRight">Linearity is an explicit property of the mathematics, independent of its action interface. <br /></td></tr>
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