茂之钳
229 lines
22 KiB
HTML
229 lines
22 KiB
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 <span id="projectnumber">3.1.0</span>
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<div id="projectbrief">高性能 CAD 计算几何引擎</div>
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<a href="#namespaces">命名空间</a> |
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<a href="#func-members">函数</a> </div>
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<div class="title">sdf_primitives.h 文件参考<div class="ingroups"><a class="el" href="group__sdf.html">SDF 模块 (vde::sdf)</a></div></div> </div>
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<p>有符号距离函数（SDF）基础图元
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<a href="#details">更多...</a></p>
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<div class="textblock"><code>#include "<a class="el" href="point_8h_source.html">vde/core/point.h</a>"</code><br />
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<code>#include <cmath></code><br />
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<code>#include <algorithm></code><br />
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sdf_primitives.h 的引用(Include)关系图:</div>
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此图展示该文件直接或间接的被哪些文件引用了:</div>
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<p><a href="sdf__primitives_8h_source.html">浏览源代码.</a></p>
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<table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
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命名空间</h2></td></tr>
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<tr class="memitem:namespacevde"><td class="memItemLeft" align="right" valign="top">  </td><td class="memItemRight" valign="bottom"><a class="el" href="namespacevde.html">vde</a></td></tr>
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<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:namespacevde_1_1sdf"><td class="memItemLeft" align="right" valign="top">  </td><td class="memItemRight" valign="bottom"><a class="el" href="namespacevde_1_1sdf.html">vde::sdf</a></td></tr>
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<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
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</table><table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
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函数</h2></td></tr>
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<tr class="memitem:ab544a3ebc4c0844b322b73bbbe4efb3f"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="namespacevde_1_1sdf.html#ab544a3ebc4c0844b322b73bbbe4efb3f">vde::sdf::sphere</a> (const Point3D &p, double radius)</td></tr>
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<tr class="memdesc:ab544a3ebc4c0844b322b73bbbe4efb3f"><td class="mdescLeft"> </td><td class="mdescRight">球体的 SDF <a href="namespacevde_1_1sdf.html#ab544a3ebc4c0844b322b73bbbe4efb3f">更多...</a><br /></td></tr>
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<tr class="separator:ab544a3ebc4c0844b322b73bbbe4efb3f"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a380ebfe1b3b65d5ecc4efcb946b21834"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="namespacevde_1_1sdf.html#a380ebfe1b3b65d5ecc4efcb946b21834">vde::sdf::box</a> (const Point3D &p, const Point3D &half_extents)</td></tr>
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<tr class="memdesc:a380ebfe1b3b65d5ecc4efcb946b21834"><td class="mdescLeft"> </td><td class="mdescRight">轴对齐立方体的 SDF <a href="namespacevde_1_1sdf.html#a380ebfe1b3b65d5ecc4efcb946b21834">更多...</a><br /></td></tr>
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<tr class="separator:a380ebfe1b3b65d5ecc4efcb946b21834"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a86cb35c74a31689629bdd6eaa67cc0cf"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="namespacevde_1_1sdf.html#a86cb35c74a31689629bdd6eaa67cc0cf">vde::sdf::round_box</a> (const Point3D &p, const Point3D &half_extents, double r)</td></tr>
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<tr class="memdesc:a86cb35c74a31689629bdd6eaa67cc0cf"><td class="mdescLeft"> </td><td class="mdescRight">圆角立方体的 SDF <a href="namespacevde_1_1sdf.html#a86cb35c74a31689629bdd6eaa67cc0cf">更多...</a><br /></td></tr>
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<tr class="separator:a86cb35c74a31689629bdd6eaa67cc0cf"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a68591fa033f624bfc5b7b64404d8cf6f"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="namespacevde_1_1sdf.html#a68591fa033f624bfc5b7b64404d8cf6f">vde::sdf::torus</a> (const Point3D &p, double major_radius, double minor_radius)</td></tr>
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<tr class="memdesc:a68591fa033f624bfc5b7b64404d8cf6f"><td class="mdescLeft"> </td><td class="mdescRight">圆环面的 SDF <a href="namespacevde_1_1sdf.html#a68591fa033f624bfc5b7b64404d8cf6f">更多...</a><br /></td></tr>
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<tr class="separator:a68591fa033f624bfc5b7b64404d8cf6f"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a2bf1185ede58f76cd513175fd4dfa4c5"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="namespacevde_1_1sdf.html#a2bf1185ede58f76cd513175fd4dfa4c5">vde::sdf::capsule</a> (const Point3D &p, const Point3D &a, const Point3D &b, double radius)</td></tr>
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<tr class="memdesc:a2bf1185ede58f76cd513175fd4dfa4c5"><td class="mdescLeft"> </td><td class="mdescRight">胶囊体的 SDF <a href="namespacevde_1_1sdf.html#a2bf1185ede58f76cd513175fd4dfa4c5">更多...</a><br /></td></tr>
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<tr class="separator:a2bf1185ede58f76cd513175fd4dfa4c5"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a5d835536ef31f92fbc25643e34be3600"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="namespacevde_1_1sdf.html#a5d835536ef31f92fbc25643e34be3600">vde::sdf::cylinder</a> (const Point3D &p, double radius, double height)</td></tr>
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<tr class="memdesc:a5d835536ef31f92fbc25643e34be3600"><td class="mdescLeft"> </td><td class="mdescRight">带平端盖的圆柱体 SDF <a href="namespacevde_1_1sdf.html#a5d835536ef31f92fbc25643e34be3600">更多...</a><br /></td></tr>
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<tr class="separator:a5d835536ef31f92fbc25643e34be3600"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:adb1410817faf88bc7b727b151b466162"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="namespacevde_1_1sdf.html#adb1410817faf88bc7b727b151b466162">vde::sdf::plane</a> (const Point3D &p, const Vector3D &normal, double offset)</td></tr>
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<tr class="memdesc:adb1410817faf88bc7b727b151b466162"><td class="mdescLeft"> </td><td class="mdescRight">平面的 SDF <a href="namespacevde_1_1sdf.html#adb1410817faf88bc7b727b151b466162">更多...</a><br /></td></tr>
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<tr class="separator:adb1410817faf88bc7b727b151b466162"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a1e3a6cb5fc6231db51dbd5faaae9ca52"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="namespacevde_1_1sdf.html#a1e3a6cb5fc6231db51dbd5faaae9ca52">vde::sdf::ellipsoid</a> (const Point3D &p, const Point3D &radii)</td></tr>
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<tr class="memdesc:a1e3a6cb5fc6231db51dbd5faaae9ca52"><td class="mdescLeft"> </td><td class="mdescRight">椭球体的 SDF（有界梯度近似） <a href="namespacevde_1_1sdf.html#a1e3a6cb5fc6231db51dbd5faaae9ca52">更多...</a><br /></td></tr>
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<tr class="separator:a1e3a6cb5fc6231db51dbd5faaae9ca52"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a1fa4fb910bc945af4dd8eb3377efcb9b"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="namespacevde_1_1sdf.html#a1fa4fb910bc945af4dd8eb3377efcb9b">vde::sdf::hex_prism</a> (const Point3D &p, double radius, double height)</td></tr>
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<tr class="memdesc:a1fa4fb910bc945af4dd8eb3377efcb9b"><td class="mdescLeft"> </td><td class="mdescRight">正六棱柱的 SDF <a href="namespacevde_1_1sdf.html#a1fa4fb910bc945af4dd8eb3377efcb9b">更多...</a><br /></td></tr>
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<tr class="separator:a1fa4fb910bc945af4dd8eb3377efcb9b"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a18a71c06ad9c47b49625f35840fdec42"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="namespacevde_1_1sdf.html#a18a71c06ad9c47b49625f35840fdec42">vde::sdf::infinite_cylinder</a> (const Point3D &p, const Vector3D &axis, double radius)</td></tr>
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<tr class="memdesc:a18a71c06ad9c47b49625f35840fdec42"><td class="mdescLeft"> </td><td class="mdescRight">无限长圆柱的 SDF <a href="namespacevde_1_1sdf.html#a18a71c06ad9c47b49625f35840fdec42">更多...</a><br /></td></tr>
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<tr class="separator:a18a71c06ad9c47b49625f35840fdec42"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a8d194f407d16556b22a4665e3cd87960"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="namespacevde_1_1sdf.html#a8d194f407d16556b22a4665e3cd87960">vde::sdf::wedge</a> (const Point3D &p, double w, double h, double d)</td></tr>
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<tr class="memdesc:a8d194f407d16556b22a4665e3cd87960"><td class="mdescLeft"> </td><td class="mdescRight">楔形体的 SDF <a href="namespacevde_1_1sdf.html#a8d194f407d16556b22a4665e3cd87960">更多...</a><br /></td></tr>
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<tr class="separator:a8d194f407d16556b22a4665e3cd87960"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a272ae0d8cb0668d8ba8a4cd10d131a6e"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="namespacevde_1_1sdf.html#a272ae0d8cb0668d8ba8a4cd10d131a6e">vde::sdf::extrusion</a> (const Point3D &, double sdf_2d)</td></tr>
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<tr class="memdesc:a272ae0d8cb0668d8ba8a4cd10d131a6e"><td class="mdescLeft"> </td><td class="mdescRight">二维 SDF 沿 Z 轴的无限挤出 <a href="namespacevde_1_1sdf.html#a272ae0d8cb0668d8ba8a4cd10d131a6e">更多...</a><br /></td></tr>
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<tr class="separator:a272ae0d8cb0668d8ba8a4cd10d131a6e"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a9e03a842ef7c53f32ed78aff015c8a0b"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="namespacevde_1_1sdf.html#a9e03a842ef7c53f32ed78aff015c8a0b">vde::sdf::extrusion_bounded</a> (const Point3D &p, double sdf_2d, double half_height)</td></tr>
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<tr class="memdesc:a9e03a842ef7c53f32ed78aff015c8a0b"><td class="mdescLeft"> </td><td class="mdescRight">二维 SDF 的有限长度挤出 <a href="namespacevde_1_1sdf.html#a9e03a842ef7c53f32ed78aff015c8a0b">更多...</a><br /></td></tr>
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<tr class="separator:a9e03a842ef7c53f32ed78aff015c8a0b"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a87f81c43bc609732b4cd63fa619f4c3d"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="namespacevde_1_1sdf.html#a87f81c43bc609732b4cd63fa619f4c3d">vde::sdf::revolution</a> (const Point3D &, double sdf_2d, double)</td></tr>
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<tr class="memdesc:a87f81c43bc609732b4cd63fa619f4c3d"><td class="mdescLeft"> </td><td class="mdescRight">二维轮廓绕 Y 轴的旋转体 SDF <a href="namespacevde_1_1sdf.html#a87f81c43bc609732b4cd63fa619f4c3d">更多...</a><br /></td></tr>
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<tr class="separator:a87f81c43bc609732b4cd63fa619f4c3d"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a049cefd36713ff9b184c0ad74dab96cf"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="namespacevde_1_1sdf.html#a049cefd36713ff9b184c0ad74dab96cf">vde::sdf::cone</a> (const Point3D &p, double angle_rad, double height)</td></tr>
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<tr class="memdesc:a049cefd36713ff9b184c0ad74dab96cf"><td class="mdescLeft"> </td><td class="mdescRight">圆锥台的 SDF（非内联实现） <a href="namespacevde_1_1sdf.html#a049cefd36713ff9b184c0ad74dab96cf">更多...</a><br /></td></tr>
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<tr class="separator:a049cefd36713ff9b184c0ad74dab96cf"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a3739a80b17c7ce591c56eedddb702a4e"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="namespacevde_1_1sdf.html#a3739a80b17c7ce591c56eedddb702a4e">vde::sdf::triangular_prism</a> (const Point3D &p, const Point3D &a, const Point3D &b, const Point3D &c, double height)</td></tr>
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<tr class="memdesc:a3739a80b17c7ce591c56eedddb702a4e"><td class="mdescLeft"> </td><td class="mdescRight">三角棱柱的 SDF（非内联实现） <a href="namespacevde_1_1sdf.html#a3739a80b17c7ce591c56eedddb702a4e">更多...</a><br /></td></tr>
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<tr class="separator:a3739a80b17c7ce591c56eedddb702a4e"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a01094a90a786e6ead7c7b36a2907f121"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="namespacevde_1_1sdf.html#a01094a90a786e6ead7c7b36a2907f121">vde::sdf::link</a> (const Point3D &p, double length, double major_r, double minor_r)</td></tr>
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<tr class="memdesc:a01094a90a786e6ead7c7b36a2907f121"><td class="mdescLeft"> </td><td class="mdescRight">双环链接体的 SDF（非内联实现） <a href="namespacevde_1_1sdf.html#a01094a90a786e6ead7c7b36a2907f121">更多...</a><br /></td></tr>
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<tr class="separator:a01094a90a786e6ead7c7b36a2907f121"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a533280217a42c14935de7c68f3191227"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="namespacevde_1_1sdf.html#a533280217a42c14935de7c68f3191227">vde::sdf::infinite_cone</a> (const Point3D &p, const Point3D &apex, const Vector3D &axis, double angle_rad)</td></tr>
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<tr class="memdesc:a533280217a42c14935de7c68f3191227"><td class="mdescLeft"> </td><td class="mdescRight">无限圆锥的 SDF（非内联实现） <a href="namespacevde_1_1sdf.html#a533280217a42c14935de7c68f3191227">更多...</a><br /></td></tr>
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<tr class="separator:a533280217a42c14935de7c68f3191227"><td class="memSeparator" colspan="2"> </td></tr>
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</table>
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<a name="details" id="details"></a><h2 class="groupheader">详细描述</h2>
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<div class="textblock"><p>有符号距离函数（SDF）基础图元 </p>
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<p>提供常见几何体到三维空间中各点的有符号距离计算。 所有图元定义在 <a class="el" href="namespacevde_1_1sdf.html">vde::sdf</a> 命名空间下，使用 <a class="el" href="namespacevde_1_1core.html#ac6aed70c4b90d13f10217267cd7a1952" title="双精度三维点（重新导出）">vde::core::Point3D</a> 作为输入。</p>
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<h2><a class="anchor" id="autotoc_md28"></a>
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SDF 约定</h2>
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<ul>
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<li>f(p) < 0: 点 p 在几何体**内部**</li>
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<li>f(p) = 0: 点 p 在几何体**表面**上</li>
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<li>f(p) > 0: 点 p 在几何体**外部**</li>
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<li>|f(p)| 的绝对值近似为 p 到最近表面的欧几里得距离</li>
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</ul>
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<h2><a class="anchor" id="autotoc_md29"></a>
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数值特性</h2>
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<ul>
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<li>所有内联函数标记为 <code>[[nodiscard]]</code>，强制调用方使用返回值</li>
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<li>距离函数在表面附近满足 |∇f| ≈ 1（Lipschitz 连续，步进可靠）</li>
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<li>部分复杂图元（cone, triangular_prism, link, infinite_cone）为非内联实现，定义在 src/sdf/ 中</li>
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</ul>
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<dl class="section note"><dt>注解</dt><dd>所有图元假设未施加变换——坐标系原点即图元中心/基点。 需要平移/旋转/缩放时，使用 <a class="el" href="sdf__operations_8h.html" title="SDF 布尔运算、修饰算子与域变形">sdf_operations.h</a> 中的域变形算子对采样点预先变换。 </dd></dl>
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<p class="definition">在文件 <a class="el" href="sdf__primitives_8h_source.html">sdf_primitives.h</a> 中定义.</p>
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