茂之钳
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858 lines
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<div id="projectname">ViewDesignEngine
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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="#pub-methods">Public 成员函数</a> |
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<a href="#pub-static-methods">静态 Public 成员函数</a> |
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<a href="#pub-attribs">Public 属性</a> |
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<div class="title">vde::foundation::Interval类 参考<div class="ingroups"><a class="el" href="group__foundation.html">基础模块</a></div></div> </div>
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<div class="contents">
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<p>双精度区间算术类
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<a href="classvde_1_1foundation_1_1Interval.html#details">更多...</a></p>
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<p><code>#include <<a class="el" href="interval_8h_source.html">interval.h</a>></code></p>
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<table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
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Public 成员函数</h2></td></tr>
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<tr class="memitem:a513bd7849e2e5521198340d19f820c8b"><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="classvde_1_1foundation_1_1Interval.html#a513bd7849e2e5521198340d19f820c8b">Interval</a> ()</td></tr>
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<tr class="memdesc:a513bd7849e2e5521198340d19f820c8b"><td class="mdescLeft"> </td><td class="mdescRight">默认构造：空区间 [0, 0] <a href="classvde_1_1foundation_1_1Interval.html#a513bd7849e2e5521198340d19f820c8b">更多...</a><br /></td></tr>
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<tr class="separator:a513bd7849e2e5521198340d19f820c8b"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a66158db78aada3139dd0e9e07865872f"><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="classvde_1_1foundation_1_1Interval.html#a66158db78aada3139dd0e9e07865872f">Interval</a> (double v)</td></tr>
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<tr class="memdesc:a66158db78aada3139dd0e9e07865872f"><td class="mdescLeft"> </td><td class="mdescRight">从单值构造精确区间（退化为点） <a href="classvde_1_1foundation_1_1Interval.html#a66158db78aada3139dd0e9e07865872f">更多...</a><br /></td></tr>
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<tr class="separator:a66158db78aada3139dd0e9e07865872f"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a5f84b35c3de5eb568941c7530dfdb933"><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="classvde_1_1foundation_1_1Interval.html#a5f84b35c3de5eb568941c7530dfdb933">Interval</a> (double l, double h)</td></tr>
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<tr class="memdesc:a5f84b35c3de5eb568941c7530dfdb933"><td class="mdescLeft"> </td><td class="mdescRight">从上下界构造区间 <a href="classvde_1_1foundation_1_1Interval.html#a5f84b35c3de5eb568941c7530dfdb933">更多...</a><br /></td></tr>
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<tr class="separator:a5f84b35c3de5eb568941c7530dfdb933"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a8619e852abc13e8b1b7f0e491d5583cc"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="classvde_1_1foundation_1_1Interval.html#a8619e852abc13e8b1b7f0e491d5583cc">mid</a> () const</td></tr>
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<tr class="memdesc:a8619e852abc13e8b1b7f0e491d5583cc"><td class="mdescLeft"> </td><td class="mdescRight">区间中点 <a href="classvde_1_1foundation_1_1Interval.html#a8619e852abc13e8b1b7f0e491d5583cc">更多...</a><br /></td></tr>
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<tr class="separator:a8619e852abc13e8b1b7f0e491d5583cc"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a47e0001ddecda2ec873331b722038e36"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="classvde_1_1foundation_1_1Interval.html#a47e0001ddecda2ec873331b722038e36">width</a> () const</td></tr>
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<tr class="memdesc:a47e0001ddecda2ec873331b722038e36"><td class="mdescLeft"> </td><td class="mdescRight">区间宽度 <a href="classvde_1_1foundation_1_1Interval.html#a47e0001ddecda2ec873331b722038e36">更多...</a><br /></td></tr>
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<tr class="separator:a47e0001ddecda2ec873331b722038e36"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a1f1ee2ccbd77e563c348c049cb093083"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="classvde_1_1foundation_1_1Interval.html#a1f1ee2ccbd77e563c348c049cb093083">contains</a> (double v) const</td></tr>
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<tr class="memdesc:a1f1ee2ccbd77e563c348c049cb093083"><td class="mdescLeft"> </td><td class="mdescRight">判断区间是否包含给定值 <a href="classvde_1_1foundation_1_1Interval.html#a1f1ee2ccbd77e563c348c049cb093083">更多...</a><br /></td></tr>
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<tr class="separator:a1f1ee2ccbd77e563c348c049cb093083"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a62f6dda3323dc45de44338391945fa99"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="classvde_1_1foundation_1_1Interval.html#a62f6dda3323dc45de44338391945fa99">is_exact</a> (double eps=1e-12) const</td></tr>
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<tr class="memdesc:a62f6dda3323dc45de44338391945fa99"><td class="mdescLeft"> </td><td class="mdescRight">判断区间是否足够窄（收敛） <a href="classvde_1_1foundation_1_1Interval.html#a62f6dda3323dc45de44338391945fa99">更多...</a><br /></td></tr>
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<tr class="separator:a62f6dda3323dc45de44338391945fa99"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a8f301412656c4c858d254b8f4452fa66"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="classvde_1_1foundation_1_1Interval.html#a8f301412656c4c858d254b8f4452fa66">overlaps</a> (const <a class="el" href="classvde_1_1foundation_1_1Interval.html">Interval</a> &o) const</td></tr>
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<tr class="memdesc:a8f301412656c4c858d254b8f4452fa66"><td class="mdescLeft"> </td><td class="mdescRight">判断两个区间是否有重叠 <a href="classvde_1_1foundation_1_1Interval.html#a8f301412656c4c858d254b8f4452fa66">更多...</a><br /></td></tr>
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<tr class="separator:a8f301412656c4c858d254b8f4452fa66"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:abf6c26f19ac4454879cdc7191e7e0b8b"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="classvde_1_1foundation_1_1Interval.html#abf6c26f19ac4454879cdc7191e7e0b8b">cmp</a> (const <a class="el" href="classvde_1_1foundation_1_1Interval.html">Interval</a> &o) const</td></tr>
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<tr class="memdesc:abf6c26f19ac4454879cdc7191e7e0b8b"><td class="mdescLeft"> </td><td class="mdescRight">确定性区间比较 <a href="classvde_1_1foundation_1_1Interval.html#abf6c26f19ac4454879cdc7191e7e0b8b">更多...</a><br /></td></tr>
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<tr class="separator:abf6c26f19ac4454879cdc7191e7e0b8b"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a2b74a1061b46dc8d8c3c02fe7aa02e71"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classvde_1_1foundation_1_1Interval.html">Interval</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classvde_1_1foundation_1_1Interval.html#a2b74a1061b46dc8d8c3c02fe7aa02e71">operator+</a> (const <a class="el" href="classvde_1_1foundation_1_1Interval.html">Interval</a> &o) const</td></tr>
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<tr class="memdesc:a2b74a1061b46dc8d8c3c02fe7aa02e71"><td class="mdescLeft"> </td><td class="mdescRight">区间加法 <a href="classvde_1_1foundation_1_1Interval.html#a2b74a1061b46dc8d8c3c02fe7aa02e71">更多...</a><br /></td></tr>
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<tr class="separator:a2b74a1061b46dc8d8c3c02fe7aa02e71"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ac2301940976c8126b99a825c061b5157"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classvde_1_1foundation_1_1Interval.html">Interval</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classvde_1_1foundation_1_1Interval.html#ac2301940976c8126b99a825c061b5157">operator-</a> (const <a class="el" href="classvde_1_1foundation_1_1Interval.html">Interval</a> &o) const</td></tr>
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<tr class="memdesc:ac2301940976c8126b99a825c061b5157"><td class="mdescLeft"> </td><td class="mdescRight">区间减法 <a href="classvde_1_1foundation_1_1Interval.html#ac2301940976c8126b99a825c061b5157">更多...</a><br /></td></tr>
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<tr class="separator:ac2301940976c8126b99a825c061b5157"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a94a315382cbe430157354b1bb0dbe3ec"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classvde_1_1foundation_1_1Interval.html">Interval</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classvde_1_1foundation_1_1Interval.html#a94a315382cbe430157354b1bb0dbe3ec">operator*</a> (const <a class="el" href="classvde_1_1foundation_1_1Interval.html">Interval</a> &o) const</td></tr>
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<tr class="memdesc:a94a315382cbe430157354b1bb0dbe3ec"><td class="mdescLeft"> </td><td class="mdescRight">区间乘法 <a href="classvde_1_1foundation_1_1Interval.html#a94a315382cbe430157354b1bb0dbe3ec">更多...</a><br /></td></tr>
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<tr class="separator:a94a315382cbe430157354b1bb0dbe3ec"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a992ee44fc66758e9e75817373ea38c79"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classvde_1_1foundation_1_1Interval.html">Interval</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classvde_1_1foundation_1_1Interval.html#a992ee44fc66758e9e75817373ea38c79">operator/</a> (const <a class="el" href="classvde_1_1foundation_1_1Interval.html">Interval</a> &o) const</td></tr>
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<tr class="memdesc:a992ee44fc66758e9e75817373ea38c79"><td class="mdescLeft"> </td><td class="mdescRight">区间除法 <a href="classvde_1_1foundation_1_1Interval.html#a992ee44fc66758e9e75817373ea38c79">更多...</a><br /></td></tr>
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<tr class="separator:a992ee44fc66758e9e75817373ea38c79"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:aa6bc5f91fe0b6c0137b72ef1108ee211"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classvde_1_1foundation_1_1Interval.html">Interval</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classvde_1_1foundation_1_1Interval.html#aa6bc5f91fe0b6c0137b72ef1108ee211">operator-</a> () const</td></tr>
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<tr class="memdesc:aa6bc5f91fe0b6c0137b72ef1108ee211"><td class="mdescLeft"> </td><td class="mdescRight">取负 <a href="classvde_1_1foundation_1_1Interval.html#aa6bc5f91fe0b6c0137b72ef1108ee211">更多...</a><br /></td></tr>
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<tr class="separator:aa6bc5f91fe0b6c0137b72ef1108ee211"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ac7b1ecc127128caeedac48534b79621b"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classvde_1_1foundation_1_1Interval.html">Interval</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classvde_1_1foundation_1_1Interval.html#ac7b1ecc127128caeedac48534b79621b">sqrt</a> () const</td></tr>
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<tr class="memdesc:ac7b1ecc127128caeedac48534b79621b"><td class="mdescLeft"> </td><td class="mdescRight">区间平方根 <a href="classvde_1_1foundation_1_1Interval.html#ac7b1ecc127128caeedac48534b79621b">更多...</a><br /></td></tr>
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<tr class="separator:ac7b1ecc127128caeedac48534b79621b"><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="pub-static-methods"></a>
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静态 Public 成员函数</h2></td></tr>
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<tr class="memitem:a66083ca9d23a0aa7deb6635d83377579"><td class="memItemLeft" align="right" valign="top">static <a class="el" href="classvde_1_1foundation_1_1Interval.html">Interval</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classvde_1_1foundation_1_1Interval.html#a66083ca9d23a0aa7deb6635d83377579">from_double</a> (double v, double error=0)</td></tr>
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<tr class="memdesc:a66083ca9d23a0aa7deb6635d83377579"><td class="mdescLeft"> </td><td class="mdescRight">从双精度值创建区间（含舍入误差带） <a href="classvde_1_1foundation_1_1Interval.html#a66083ca9d23a0aa7deb6635d83377579">更多...</a><br /></td></tr>
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<tr class="separator:a66083ca9d23a0aa7deb6635d83377579"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a98405097d818464d2ec44d9a12d4afff"><td class="memItemLeft" align="right" valign="top">static <a class="el" href="classvde_1_1foundation_1_1Interval.html">Interval</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classvde_1_1foundation_1_1Interval.html#a98405097d818464d2ec44d9a12d4afff">from_coord</a> (double v)</td></tr>
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<tr class="memdesc:a98405097d818464d2ec44d9a12d4afff"><td class="mdescLeft"> </td><td class="mdescRight">从坐标值创建区间（含 ULP 误差带） <a href="classvde_1_1foundation_1_1Interval.html#a98405097d818464d2ec44d9a12d4afff">更多...</a><br /></td></tr>
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<tr class="separator:a98405097d818464d2ec44d9a12d4afff"><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="pub-attribs"></a>
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Public 属性</h2></td></tr>
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<tr class="memitem:a5513b8d4cdc8c12dd44af8cdc1d8fbe7"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="classvde_1_1foundation_1_1Interval.html#a5513b8d4cdc8c12dd44af8cdc1d8fbe7">lo</a></td></tr>
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<tr class="separator:a5513b8d4cdc8c12dd44af8cdc1d8fbe7"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a835e5615a8c670408c7f4ba438332b1c"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="classvde_1_1foundation_1_1Interval.html#a835e5615a8c670408c7f4ba438332b1c">hi</a></td></tr>
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<tr class="separator:a835e5615a8c670408c7f4ba438332b1c"><td class="memSeparator" colspan="2"> </td></tr>
|
||
</table>
|
||
<a name="details" id="details"></a><h2 class="groupheader">详细描述</h2>
|
||
<div class="textblock"><p>双精度区间算术类 </p>
|
||
<p>存储区间 [lo, hi] 的上下边界，支持区间算术运算和确定性比较。 主要用于验证浮点计算的可靠性：若区间结果不跨越零，则可确定符号； 若跨越零，则说明双精度不足以确定结果，需要更高精度或精确算术。</p>
|
||
<p>区间运算遵循保守原则（结果区间包含所有可能的真实值）， 即 out = [min(所有组合), max(所有组合)]。 </p>
|
||
|
||
<p class="definition">在文件 <a class="el" href="interval_8h_source.html">interval.h</a> 第 <a class="el" href="interval_8h_source.html#l00020">20</a> 行定义.</p>
|
||
</div><h2 class="groupheader">构造及析构函数说明</h2>
|
||
<a id="a513bd7849e2e5521198340d19f820c8b"></a>
|
||
<h2 class="memtitle"><span class="permalink"><a href="#a513bd7849e2e5521198340d19f820c8b">◆ </a></span>Interval() <span class="overload">[1/3]</span></h2>
|
||
|
||
<div class="memitem">
|
||
<div class="memproto">
|
||
<table class="mlabels">
|
||
<tr>
|
||
<td class="mlabels-left">
|
||
<table class="memname">
|
||
<tr>
|
||
<td class="memname">vde::foundation::Interval::Interval </td>
|
||
<td>(</td>
|
||
<td class="paramname"></td><td>)</td>
|
||
<td></td>
|
||
</tr>
|
||
</table>
|
||
</td>
|
||
<td class="mlabels-right">
|
||
<span class="mlabels"><span class="mlabel">inline</span></span> </td>
|
||
</tr>
|
||
</table>
|
||
</div><div class="memdoc">
|
||
|
||
<p>默认构造：空区间 [0, 0] </p>
|
||
|
||
<p class="definition">在文件 <a class="el" href="interval_8h_source.html">interval.h</a> 第 <a class="el" href="interval_8h_source.html#l00025">25</a> 行定义.</p>
|
||
|
||
</div>
|
||
</div>
|
||
<a id="a66158db78aada3139dd0e9e07865872f"></a>
|
||
<h2 class="memtitle"><span class="permalink"><a href="#a66158db78aada3139dd0e9e07865872f">◆ </a></span>Interval() <span class="overload">[2/3]</span></h2>
|
||
|
||
<div class="memitem">
|
||
<div class="memproto">
|
||
<table class="mlabels">
|
||
<tr>
|
||
<td class="mlabels-left">
|
||
<table class="memname">
|
||
<tr>
|
||
<td class="memname">vde::foundation::Interval::Interval </td>
|
||
<td>(</td>
|
||
<td class="paramtype">double </td>
|
||
<td class="paramname"><em>v</em></td><td>)</td>
|
||
<td></td>
|
||
</tr>
|
||
</table>
|
||
</td>
|
||
<td class="mlabels-right">
|
||
<span class="mlabels"><span class="mlabel">inline</span></span> </td>
|
||
</tr>
|
||
</table>
|
||
</div><div class="memdoc">
|
||
|
||
<p>从单值构造精确区间（退化为点） </p>
|
||
<dl class="params"><dt>参数</dt><dd>
|
||
<table class="params">
|
||
<tr><td class="paramname">v</td><td>区间值，[v, v] </td></tr>
|
||
</table>
|
||
</dd>
|
||
</dl>
|
||
|
||
<p class="definition">在文件 <a class="el" href="interval_8h_source.html">interval.h</a> 第 <a class="el" href="interval_8h_source.html#l00031">31</a> 行定义.</p>
|
||
|
||
</div>
|
||
</div>
|
||
<a id="a5f84b35c3de5eb568941c7530dfdb933"></a>
|
||
<h2 class="memtitle"><span class="permalink"><a href="#a5f84b35c3de5eb568941c7530dfdb933">◆ </a></span>Interval() <span class="overload">[3/3]</span></h2>
|
||
|
||
<div class="memitem">
|
||
<div class="memproto">
|
||
<table class="mlabels">
|
||
<tr>
|
||
<td class="mlabels-left">
|
||
<table class="memname">
|
||
<tr>
|
||
<td class="memname">vde::foundation::Interval::Interval </td>
|
||
<td>(</td>
|
||
<td class="paramtype">double </td>
|
||
<td class="paramname"><em>l</em>, </td>
|
||
</tr>
|
||
<tr>
|
||
<td class="paramkey"></td>
|
||
<td></td>
|
||
<td class="paramtype">double </td>
|
||
<td class="paramname"><em>h</em> </td>
|
||
</tr>
|
||
<tr>
|
||
<td></td>
|
||
<td>)</td>
|
||
<td></td><td></td>
|
||
</tr>
|
||
</table>
|
||
</td>
|
||
<td class="mlabels-right">
|
||
<span class="mlabels"><span class="mlabel">inline</span></span> </td>
|
||
</tr>
|
||
</table>
|
||
</div><div class="memdoc">
|
||
|
||
<p>从上下界构造区间 </p>
|
||
<p>自动交换以确保 lo ≤ hi。</p>
|
||
<dl class="params"><dt>参数</dt><dd>
|
||
<table class="params">
|
||
<tr><td class="paramname">l</td><td>下界 </td></tr>
|
||
<tr><td class="paramname">h</td><td>上界 </td></tr>
|
||
</table>
|
||
</dd>
|
||
</dl>
|
||
|
||
<p class="definition">在文件 <a class="el" href="interval_8h_source.html">interval.h</a> 第 <a class="el" href="interval_8h_source.html#l00041">41</a> 行定义.</p>
|
||
|
||
</div>
|
||
</div>
|
||
<h2 class="groupheader">成员函数说明</h2>
|
||
<a id="abf6c26f19ac4454879cdc7191e7e0b8b"></a>
|
||
<h2 class="memtitle"><span class="permalink"><a href="#abf6c26f19ac4454879cdc7191e7e0b8b">◆ </a></span>cmp()</h2>
|
||
|
||
<div class="memitem">
|
||
<div class="memproto">
|
||
<table class="mlabels">
|
||
<tr>
|
||
<td class="mlabels-left">
|
||
<table class="memname">
|
||
<tr>
|
||
<td class="memname">int vde::foundation::Interval::cmp </td>
|
||
<td>(</td>
|
||
<td class="paramtype">const <a class="el" href="classvde_1_1foundation_1_1Interval.html">Interval</a> & </td>
|
||
<td class="paramname"><em>o</em></td><td>)</td>
|
||
<td> const</td>
|
||
</tr>
|
||
</table>
|
||
</td>
|
||
<td class="mlabels-right">
|
||
<span class="mlabels"><span class="mlabel">inline</span></span> </td>
|
||
</tr>
|
||
</table>
|
||
</div><div class="memdoc">
|
||
|
||
<p>确定性区间比较 </p>
|
||
<p>仅当两个区间无重叠时才能确定大小关系。</p>
|
||
<dl class="params"><dt>参数</dt><dd>
|
||
<table class="params">
|
||
<tr><td class="paramname">o</td><td>另一个区间 </td></tr>
|
||
</table>
|
||
</dd>
|
||
</dl>
|
||
<dl class="section return"><dt>返回</dt><dd>-1 若确定 this < o </dd>
|
||
<dd>
|
||
1 若确定 this > o </dd>
|
||
<dd>
|
||
0 若区间重叠，无法确定</dd></dl>
|
||
<div class="fragment"><div class="line"><a class="code" href="classvde_1_1foundation_1_1Interval.html#a513bd7849e2e5521198340d19f820c8b">Interval</a> a(1.0, 2.0), b(3.0, 4.0);</div>
|
||
<div class="line"><span class="keywordtype">int</span> c = a.cmp(b); <span class="comment">// c == -1 (确定 a < b)</span></div>
|
||
<div class="line"> </div>
|
||
<div class="line"><a class="code" href="classvde_1_1foundation_1_1Interval.html#a513bd7849e2e5521198340d19f820c8b">Interval</a> c(1.0, 3.0), d(2.0, 4.0);</div>
|
||
<div class="line"><span class="keywordtype">int</span> r = c.cmp(d); <span class="comment">// r == 0 (重叠，无法确定)</span></div>
|
||
<div class="ttc" id="aclassvde_1_1foundation_1_1Interval_html_a513bd7849e2e5521198340d19f820c8b"><div class="ttname"><a href="classvde_1_1foundation_1_1Interval.html#a513bd7849e2e5521198340d19f820c8b">vde::foundation::Interval::Interval</a></div><div class="ttdeci">Interval()</div><div class="ttdoc">默认构造：空区间 [0, 0]</div><div class="ttdef"><b>Definition:</b> <a href="interval_8h_source.html#l00025">interval.h:25</a></div></div>
|
||
</div><!-- fragment -->
|
||
<p class="definition">在文件 <a class="el" href="interval_8h_source.html">interval.h</a> 第 <a class="el" href="interval_8h_source.html#l00096">96</a> 行定义.</p>
|
||
|
||
<p class="reference">引用了 <a class="el" href="interval_8h_source.html#l00022">hi</a> , 以及 <a class="el" href="interval_8h_source.html#l00022">lo</a>.</p>
|
||
|
||
<p class="reference">被这些函数引用 <a class="el" href="interval_8h_source.html#l00232">vde::foundation::orient_2d_verified()</a>.</p>
|
||
|
||
</div>
|
||
</div>
|
||
<a id="a1f1ee2ccbd77e563c348c049cb093083"></a>
|
||
<h2 class="memtitle"><span class="permalink"><a href="#a1f1ee2ccbd77e563c348c049cb093083">◆ </a></span>contains()</h2>
|
||
|
||
<div class="memitem">
|
||
<div class="memproto">
|
||
<table class="mlabels">
|
||
<tr>
|
||
<td class="mlabels-left">
|
||
<table class="memname">
|
||
<tr>
|
||
<td class="memname">bool vde::foundation::Interval::contains </td>
|
||
<td>(</td>
|
||
<td class="paramtype">double </td>
|
||
<td class="paramname"><em>v</em></td><td>)</td>
|
||
<td> const</td>
|
||
</tr>
|
||
</table>
|
||
</td>
|
||
<td class="mlabels-right">
|
||
<span class="mlabels"><span class="mlabel">inline</span></span> </td>
|
||
</tr>
|
||
</table>
|
||
</div><div class="memdoc">
|
||
|
||
<p>判断区间是否包含给定值 </p>
|
||
<dl class="params"><dt>参数</dt><dd>
|
||
<table class="params">
|
||
<tr><td class="paramname">v</td><td>测试值 </td></tr>
|
||
</table>
|
||
</dd>
|
||
</dl>
|
||
<dl class="section return"><dt>返回</dt><dd>true 若 lo ≤ v ≤ hi </dd></dl>
|
||
|
||
<p class="definition">在文件 <a class="el" href="interval_8h_source.html">interval.h</a> 第 <a class="el" href="interval_8h_source.html#l00060">60</a> 行定义.</p>
|
||
|
||
<p class="reference">引用了 <a class="el" href="interval_8h_source.html#l00022">hi</a> , 以及 <a class="el" href="interval_8h_source.html#l00022">lo</a>.</p>
|
||
|
||
</div>
|
||
</div>
|
||
<a id="a98405097d818464d2ec44d9a12d4afff"></a>
|
||
<h2 class="memtitle"><span class="permalink"><a href="#a98405097d818464d2ec44d9a12d4afff">◆ </a></span>from_coord()</h2>
|
||
|
||
<div class="memitem">
|
||
<div class="memproto">
|
||
<table class="mlabels">
|
||
<tr>
|
||
<td class="mlabels-left">
|
||
<table class="memname">
|
||
<tr>
|
||
<td class="memname">static <a class="el" href="classvde_1_1foundation_1_1Interval.html">Interval</a> vde::foundation::Interval::from_coord </td>
|
||
<td>(</td>
|
||
<td class="paramtype">double </td>
|
||
<td class="paramname"><em>v</em></td><td>)</td>
|
||
<td></td>
|
||
</tr>
|
||
</table>
|
||
</td>
|
||
<td class="mlabels-right">
|
||
<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span></span> </td>
|
||
</tr>
|
||
</table>
|
||
</div><div class="memdoc">
|
||
|
||
<p>从坐标值创建区间（含 ULP 误差带） </p>
|
||
<p>误差估计为 |v| * 2.22e-16 + 1e-300，即双精度最小单位。</p>
|
||
<dl class="params"><dt>参数</dt><dd>
|
||
<table class="params">
|
||
<tr><td class="paramname">v</td><td>坐标值 </td></tr>
|
||
</table>
|
||
</dd>
|
||
</dl>
|
||
<dl class="section return"><dt>返回</dt><dd>包含浮点舍入误差的区间 </dd></dl>
|
||
|
||
<p class="definition">在文件 <a class="el" href="interval_8h_source.html">interval.h</a> 第 <a class="el" href="interval_8h_source.html#l00181">181</a> 行定义.</p>
|
||
|
||
<p class="reference">被这些函数引用 <a class="el" href="interval_8h_source.html#l00200">vde::foundation::orient_2d_interval()</a>.</p>
|
||
|
||
</div>
|
||
</div>
|
||
<a id="a66083ca9d23a0aa7deb6635d83377579"></a>
|
||
<h2 class="memtitle"><span class="permalink"><a href="#a66083ca9d23a0aa7deb6635d83377579">◆ </a></span>from_double()</h2>
|
||
|
||
<div class="memitem">
|
||
<div class="memproto">
|
||
<table class="mlabels">
|
||
<tr>
|
||
<td class="mlabels-left">
|
||
<table class="memname">
|
||
<tr>
|
||
<td class="memname">static <a class="el" href="classvde_1_1foundation_1_1Interval.html">Interval</a> vde::foundation::Interval::from_double </td>
|
||
<td>(</td>
|
||
<td class="paramtype">double </td>
|
||
<td class="paramname"><em>v</em>, </td>
|
||
</tr>
|
||
<tr>
|
||
<td class="paramkey"></td>
|
||
<td></td>
|
||
<td class="paramtype">double </td>
|
||
<td class="paramname"><em>error</em> = <code>0</code> </td>
|
||
</tr>
|
||
<tr>
|
||
<td></td>
|
||
<td>)</td>
|
||
<td></td><td></td>
|
||
</tr>
|
||
</table>
|
||
</td>
|
||
<td class="mlabels-right">
|
||
<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span></span> </td>
|
||
</tr>
|
||
</table>
|
||
</div><div class="memdoc">
|
||
|
||
<p>从双精度值创建区间（含舍入误差带） </p>
|
||
<dl class="params"><dt>参数</dt><dd>
|
||
<table class="params">
|
||
<tr><td class="paramname">v</td><td>中心值 </td></tr>
|
||
<tr><td class="paramname">error</td><td>误差半径（默认 0） </td></tr>
|
||
</table>
|
||
</dd>
|
||
</dl>
|
||
<dl class="section return"><dt>返回</dt><dd>[v - error, v + error] </dd></dl>
|
||
|
||
<p class="definition">在文件 <a class="el" href="interval_8h_source.html">interval.h</a> 第 <a class="el" href="interval_8h_source.html#l00169">169</a> 行定义.</p>
|
||
|
||
</div>
|
||
</div>
|
||
<a id="a62f6dda3323dc45de44338391945fa99"></a>
|
||
<h2 class="memtitle"><span class="permalink"><a href="#a62f6dda3323dc45de44338391945fa99">◆ </a></span>is_exact()</h2>
|
||
|
||
<div class="memitem">
|
||
<div class="memproto">
|
||
<table class="mlabels">
|
||
<tr>
|
||
<td class="mlabels-left">
|
||
<table class="memname">
|
||
<tr>
|
||
<td class="memname">bool vde::foundation::Interval::is_exact </td>
|
||
<td>(</td>
|
||
<td class="paramtype">double </td>
|
||
<td class="paramname"><em>eps</em> = <code>1e-12</code></td><td>)</td>
|
||
<td> const</td>
|
||
</tr>
|
||
</table>
|
||
</td>
|
||
<td class="mlabels-right">
|
||
<span class="mlabels"><span class="mlabel">inline</span></span> </td>
|
||
</tr>
|
||
</table>
|
||
</div><div class="memdoc">
|
||
|
||
<p>判断区间是否足够窄（收敛） </p>
|
||
<dl class="params"><dt>参数</dt><dd>
|
||
<table class="params">
|
||
<tr><td class="paramname">eps</td><td>宽度阈值（默认 1e-12） </td></tr>
|
||
</table>
|
||
</dd>
|
||
</dl>
|
||
<dl class="section return"><dt>返回</dt><dd>true 若区间宽度 < eps </dd></dl>
|
||
|
||
<p class="definition">在文件 <a class="el" href="interval_8h_source.html">interval.h</a> 第 <a class="el" href="interval_8h_source.html#l00067">67</a> 行定义.</p>
|
||
|
||
<p class="reference">引用了 <a class="el" href="interval_8h_source.html#l00053">width()</a>.</p>
|
||
|
||
</div>
|
||
</div>
|
||
<a id="a8619e852abc13e8b1b7f0e491d5583cc"></a>
|
||
<h2 class="memtitle"><span class="permalink"><a href="#a8619e852abc13e8b1b7f0e491d5583cc">◆ </a></span>mid()</h2>
|
||
|
||
<div class="memitem">
|
||
<div class="memproto">
|
||
<table class="mlabels">
|
||
<tr>
|
||
<td class="mlabels-left">
|
||
<table class="memname">
|
||
<tr>
|
||
<td class="memname">double vde::foundation::Interval::mid </td>
|
||
<td>(</td>
|
||
<td class="paramname"></td><td>)</td>
|
||
<td> const</td>
|
||
</tr>
|
||
</table>
|
||
</td>
|
||
<td class="mlabels-right">
|
||
<span class="mlabels"><span class="mlabel">inline</span></span> </td>
|
||
</tr>
|
||
</table>
|
||
</div><div class="memdoc">
|
||
|
||
<p>区间中点 </p>
|
||
<dl class="section return"><dt>返回</dt><dd>(lo + hi) / 2 </dd></dl>
|
||
|
||
<p class="definition">在文件 <a class="el" href="interval_8h_source.html">interval.h</a> 第 <a class="el" href="interval_8h_source.html#l00047">47</a> 行定义.</p>
|
||
|
||
<p class="reference">引用了 <a class="el" href="interval_8h_source.html#l00022">hi</a> , 以及 <a class="el" href="interval_8h_source.html#l00022">lo</a>.</p>
|
||
|
||
</div>
|
||
</div>
|
||
<a id="a94a315382cbe430157354b1bb0dbe3ec"></a>
|
||
<h2 class="memtitle"><span class="permalink"><a href="#a94a315382cbe430157354b1bb0dbe3ec">◆ </a></span>operator*()</h2>
|
||
|
||
<div class="memitem">
|
||
<div class="memproto">
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||
<table class="mlabels">
|
||
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|
||
<td class="mlabels-left">
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<table class="memname">
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<tr>
|
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<td class="memname"><a class="el" href="classvde_1_1foundation_1_1Interval.html">Interval</a> vde::foundation::Interval::operator* </td>
|
||
<td>(</td>
|
||
<td class="paramtype">const <a class="el" href="classvde_1_1foundation_1_1Interval.html">Interval</a> & </td>
|
||
<td class="paramname"><em>o</em></td><td>)</td>
|
||
<td> const</td>
|
||
</tr>
|
||
</table>
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||
</td>
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||
<td class="mlabels-right">
|
||
<span class="mlabels"><span class="mlabel">inline</span></span> </td>
|
||
</tr>
|
||
</table>
|
||
</div><div class="memdoc">
|
||
|
||
<p>区间乘法 </p>
|
||
<p>取四项乘积的最小值和最大值作为结果区间。</p>
|
||
<dl class="section return"><dt>返回</dt><dd>[min(a*c,a*d,b*c,b*d), max(a*c,a*d,b*c,b*d)] </dd></dl>
|
||
|
||
<p class="definition">在文件 <a class="el" href="interval_8h_source.html">interval.h</a> 第 <a class="el" href="interval_8h_source.html#l00127">127</a> 行定义.</p>
|
||
|
||
<p class="reference">引用了 <a class="el" href="interval_8h_source.html#l00022">hi</a> , 以及 <a class="el" href="interval_8h_source.html#l00022">lo</a>.</p>
|
||
|
||
</div>
|
||
</div>
|
||
<a id="a2b74a1061b46dc8d8c3c02fe7aa02e71"></a>
|
||
<h2 class="memtitle"><span class="permalink"><a href="#a2b74a1061b46dc8d8c3c02fe7aa02e71">◆ </a></span>operator+()</h2>
|
||
|
||
<div class="memitem">
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||
<div class="memproto">
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<table class="mlabels">
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<td class="mlabels-left">
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<table class="memname">
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<tr>
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<td class="memname"><a class="el" href="classvde_1_1foundation_1_1Interval.html">Interval</a> vde::foundation::Interval::operator+ </td>
|
||
<td>(</td>
|
||
<td class="paramtype">const <a class="el" href="classvde_1_1foundation_1_1Interval.html">Interval</a> & </td>
|
||
<td class="paramname"><em>o</em></td><td>)</td>
|
||
<td> const</td>
|
||
</tr>
|
||
</table>
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||
</td>
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||
<td class="mlabels-right">
|
||
<span class="mlabels"><span class="mlabel">inline</span></span> </td>
|
||
</tr>
|
||
</table>
|
||
</div><div class="memdoc">
|
||
|
||
<p>区间加法 </p>
|
||
<dl class="section return"><dt>返回</dt><dd>[this.lo + o.lo, this.hi + o.hi] </dd></dl>
|
||
|
||
<p class="definition">在文件 <a class="el" href="interval_8h_source.html">interval.h</a> 第 <a class="el" href="interval_8h_source.html#l00108">108</a> 行定义.</p>
|
||
|
||
<p class="reference">引用了 <a class="el" href="interval_8h_source.html#l00022">hi</a> , 以及 <a class="el" href="interval_8h_source.html#l00022">lo</a>.</p>
|
||
|
||
</div>
|
||
</div>
|
||
<a id="aa6bc5f91fe0b6c0137b72ef1108ee211"></a>
|
||
<h2 class="memtitle"><span class="permalink"><a href="#aa6bc5f91fe0b6c0137b72ef1108ee211">◆ </a></span>operator-() <span class="overload">[1/2]</span></h2>
|
||
|
||
<div class="memitem">
|
||
<div class="memproto">
|
||
<table class="mlabels">
|
||
<tr>
|
||
<td class="mlabels-left">
|
||
<table class="memname">
|
||
<tr>
|
||
<td class="memname"><a class="el" href="classvde_1_1foundation_1_1Interval.html">Interval</a> vde::foundation::Interval::operator- </td>
|
||
<td>(</td>
|
||
<td class="paramname"></td><td>)</td>
|
||
<td> const</td>
|
||
</tr>
|
||
</table>
|
||
</td>
|
||
<td class="mlabels-right">
|
||
<span class="mlabels"><span class="mlabel">inline</span></span> </td>
|
||
</tr>
|
||
</table>
|
||
</div><div class="memdoc">
|
||
|
||
<p>取负 </p>
|
||
|
||
<p class="definition">在文件 <a class="el" href="interval_8h_source.html">interval.h</a> 第 <a class="el" href="interval_8h_source.html#l00147">147</a> 行定义.</p>
|
||
|
||
<p class="reference">引用了 <a class="el" href="interval_8h_source.html#l00022">hi</a> , 以及 <a class="el" href="interval_8h_source.html#l00022">lo</a>.</p>
|
||
|
||
</div>
|
||
</div>
|
||
<a id="ac2301940976c8126b99a825c061b5157"></a>
|
||
<h2 class="memtitle"><span class="permalink"><a href="#ac2301940976c8126b99a825c061b5157">◆ </a></span>operator-() <span class="overload">[2/2]</span></h2>
|
||
|
||
<div class="memitem">
|
||
<div class="memproto">
|
||
<table class="mlabels">
|
||
<tr>
|
||
<td class="mlabels-left">
|
||
<table class="memname">
|
||
<tr>
|
||
<td class="memname"><a class="el" href="classvde_1_1foundation_1_1Interval.html">Interval</a> vde::foundation::Interval::operator- </td>
|
||
<td>(</td>
|
||
<td class="paramtype">const <a class="el" href="classvde_1_1foundation_1_1Interval.html">Interval</a> & </td>
|
||
<td class="paramname"><em>o</em></td><td>)</td>
|
||
<td> const</td>
|
||
</tr>
|
||
</table>
|
||
</td>
|
||
<td class="mlabels-right">
|
||
<span class="mlabels"><span class="mlabel">inline</span></span> </td>
|
||
</tr>
|
||
</table>
|
||
</div><div class="memdoc">
|
||
|
||
<p>区间减法 </p>
|
||
<dl class="section return"><dt>返回</dt><dd>[this.lo - o.hi, this.hi - o.lo]（保守估计） </dd></dl>
|
||
|
||
<p class="definition">在文件 <a class="el" href="interval_8h_source.html">interval.h</a> 第 <a class="el" href="interval_8h_source.html#l00116">116</a> 行定义.</p>
|
||
|
||
<p class="reference">引用了 <a class="el" href="interval_8h_source.html#l00022">hi</a> , 以及 <a class="el" href="interval_8h_source.html#l00022">lo</a>.</p>
|
||
|
||
</div>
|
||
</div>
|
||
<a id="a992ee44fc66758e9e75817373ea38c79"></a>
|
||
<h2 class="memtitle"><span class="permalink"><a href="#a992ee44fc66758e9e75817373ea38c79">◆ </a></span>operator/()</h2>
|
||
|
||
<div class="memitem">
|
||
<div class="memproto">
|
||
<table class="mlabels">
|
||
<tr>
|
||
<td class="mlabels-left">
|
||
<table class="memname">
|
||
<tr>
|
||
<td class="memname"><a class="el" href="classvde_1_1foundation_1_1Interval.html">Interval</a> vde::foundation::Interval::operator/ </td>
|
||
<td>(</td>
|
||
<td class="paramtype">const <a class="el" href="classvde_1_1foundation_1_1Interval.html">Interval</a> & </td>
|
||
<td class="paramname"><em>o</em></td><td>)</td>
|
||
<td> const</td>
|
||
</tr>
|
||
</table>
|
||
</td>
|
||
<td class="mlabels-right">
|
||
<span class="mlabels"><span class="mlabel">inline</span></span> </td>
|
||
</tr>
|
||
</table>
|
||
</div><div class="memdoc">
|
||
|
||
<p>区间除法 </p>
|
||
<p>若除区间跨越零，返回极大区间表示不确定性。</p>
|
||
<dl class="section return"><dt>返回</dt><dd>结果区间或 [-∞, +∞]（除数为零区间） </dd></dl>
|
||
|
||
<p class="definition">在文件 <a class="el" href="interval_8h_source.html">interval.h</a> 第 <a class="el" href="interval_8h_source.html#l00139">139</a> 行定义.</p>
|
||
|
||
<p class="reference">引用了 <a class="el" href="interval_8h_source.html#l00022">hi</a> , 以及 <a class="el" href="interval_8h_source.html#l00022">lo</a>.</p>
|
||
|
||
</div>
|
||
</div>
|
||
<a id="a8f301412656c4c858d254b8f4452fa66"></a>
|
||
<h2 class="memtitle"><span class="permalink"><a href="#a8f301412656c4c858d254b8f4452fa66">◆ </a></span>overlaps()</h2>
|
||
|
||
<div class="memitem">
|
||
<div class="memproto">
|
||
<table class="mlabels">
|
||
<tr>
|
||
<td class="mlabels-left">
|
||
<table class="memname">
|
||
<tr>
|
||
<td class="memname">bool vde::foundation::Interval::overlaps </td>
|
||
<td>(</td>
|
||
<td class="paramtype">const <a class="el" href="classvde_1_1foundation_1_1Interval.html">Interval</a> & </td>
|
||
<td class="paramname"><em>o</em></td><td>)</td>
|
||
<td> const</td>
|
||
</tr>
|
||
</table>
|
||
</td>
|
||
<td class="mlabels-right">
|
||
<span class="mlabels"><span class="mlabel">inline</span></span> </td>
|
||
</tr>
|
||
</table>
|
||
</div><div class="memdoc">
|
||
|
||
<p>判断两个区间是否有重叠 </p>
|
||
<dl class="params"><dt>参数</dt><dd>
|
||
<table class="params">
|
||
<tr><td class="paramname">o</td><td>另一个区间 </td></tr>
|
||
</table>
|
||
</dd>
|
||
</dl>
|
||
<dl class="section return"><dt>返回</dt><dd>true 若存在公共点 </dd></dl>
|
||
|
||
<p class="definition">在文件 <a class="el" href="interval_8h_source.html">interval.h</a> 第 <a class="el" href="interval_8h_source.html#l00074">74</a> 行定义.</p>
|
||
|
||
<p class="reference">引用了 <a class="el" href="interval_8h_source.html#l00022">hi</a> , 以及 <a class="el" href="interval_8h_source.html#l00022">lo</a>.</p>
|
||
|
||
</div>
|
||
</div>
|
||
<a id="ac7b1ecc127128caeedac48534b79621b"></a>
|
||
<h2 class="memtitle"><span class="permalink"><a href="#ac7b1ecc127128caeedac48534b79621b">◆ </a></span>sqrt()</h2>
|
||
|
||
<div class="memitem">
|
||
<div class="memproto">
|
||
<table class="mlabels">
|
||
<tr>
|
||
<td class="mlabels-left">
|
||
<table class="memname">
|
||
<tr>
|
||
<td class="memname"><a class="el" href="classvde_1_1foundation_1_1Interval.html">Interval</a> vde::foundation::Interval::sqrt </td>
|
||
<td>(</td>
|
||
<td class="paramname"></td><td>)</td>
|
||
<td> const</td>
|
||
</tr>
|
||
</table>
|
||
</td>
|
||
<td class="mlabels-right">
|
||
<span class="mlabels"><span class="mlabel">inline</span></span> </td>
|
||
</tr>
|
||
</table>
|
||
</div><div class="memdoc">
|
||
|
||
<p>区间平方根 </p>
|
||
<p>下界对 0 取 max 以处理负值（保守处理）。</p>
|
||
<dl class="section return"><dt>返回</dt><dd>[sqrt(max(0, lo)), sqrt(max(0, hi))] </dd></dl>
|
||
|
||
<p class="definition">在文件 <a class="el" href="interval_8h_source.html">interval.h</a> 第 <a class="el" href="interval_8h_source.html#l00158">158</a> 行定义.</p>
|
||
|
||
<p class="reference">引用了 <a class="el" href="interval_8h_source.html#l00022">hi</a> , 以及 <a class="el" href="interval_8h_source.html#l00022">lo</a>.</p>
|
||
|
||
</div>
|
||
</div>
|
||
<a id="a47e0001ddecda2ec873331b722038e36"></a>
|
||
<h2 class="memtitle"><span class="permalink"><a href="#a47e0001ddecda2ec873331b722038e36">◆ </a></span>width()</h2>
|
||
|
||
<div class="memitem">
|
||
<div class="memproto">
|
||
<table class="mlabels">
|
||
<tr>
|
||
<td class="mlabels-left">
|
||
<table class="memname">
|
||
<tr>
|
||
<td class="memname">double vde::foundation::Interval::width </td>
|
||
<td>(</td>
|
||
<td class="paramname"></td><td>)</td>
|
||
<td> const</td>
|
||
</tr>
|
||
</table>
|
||
</td>
|
||
<td class="mlabels-right">
|
||
<span class="mlabels"><span class="mlabel">inline</span></span> </td>
|
||
</tr>
|
||
</table>
|
||
</div><div class="memdoc">
|
||
|
||
<p>区间宽度 </p>
|
||
<dl class="section return"><dt>返回</dt><dd>hi - lo </dd></dl>
|
||
|
||
<p class="definition">在文件 <a class="el" href="interval_8h_source.html">interval.h</a> 第 <a class="el" href="interval_8h_source.html#l00053">53</a> 行定义.</p>
|
||
|
||
<p class="reference">引用了 <a class="el" href="interval_8h_source.html#l00022">hi</a> , 以及 <a class="el" href="interval_8h_source.html#l00022">lo</a>.</p>
|
||
|
||
<p class="reference">被这些函数引用 <a class="el" href="interval_8h_source.html#l00067">is_exact()</a>.</p>
|
||
|
||
</div>
|
||
</div>
|
||
<h2 class="groupheader">类成员变量说明</h2>
|
||
<a id="a835e5615a8c670408c7f4ba438332b1c"></a>
|
||
<h2 class="memtitle"><span class="permalink"><a href="#a835e5615a8c670408c7f4ba438332b1c">◆ </a></span>hi</h2>
|
||
|
||
<div class="memitem">
|
||
<div class="memproto">
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||
<table class="memname">
|
||
<tr>
|
||
<td class="memname">double vde::foundation::Interval::hi</td>
|
||
</tr>
|
||
</table>
|
||
</div><div class="memdoc">
|
||
|
||
<p class="definition">在文件 <a class="el" href="interval_8h_source.html">interval.h</a> 第 <a class="el" href="interval_8h_source.html#l00022">22</a> 行定义.</p>
|
||
|
||
<p class="reference">被这些函数引用 <a class="el" href="interval_8h_source.html#l00096">cmp()</a>, <a class="el" href="interval_8h_source.html#l00060">contains()</a>, <a class="el" href="interval_8h_source.html#l00047">mid()</a>, <a class="el" href="interval_8h_source.html#l00127">operator*()</a>, <a class="el" href="interval_8h_source.html#l00108">operator+()</a>, <a class="el" href="interval_8h_source.html#l00116">operator-()</a>, <a class="el" href="interval_8h_source.html#l00139">operator/()</a>, <a class="el" href="interval_8h_source.html#l00074">overlaps()</a>, <a class="el" href="interval_8h_source.html#l00158">sqrt()</a> , 以及 <a class="el" href="interval_8h_source.html#l00053">width()</a>.</p>
|
||
|
||
</div>
|
||
</div>
|
||
<a id="a5513b8d4cdc8c12dd44af8cdc1d8fbe7"></a>
|
||
<h2 class="memtitle"><span class="permalink"><a href="#a5513b8d4cdc8c12dd44af8cdc1d8fbe7">◆ </a></span>lo</h2>
|
||
|
||
<div class="memitem">
|
||
<div class="memproto">
|
||
<table class="memname">
|
||
<tr>
|
||
<td class="memname">double vde::foundation::Interval::lo</td>
|
||
</tr>
|
||
</table>
|
||
</div><div class="memdoc">
|
||
|
||
<p class="definition">在文件 <a class="el" href="interval_8h_source.html">interval.h</a> 第 <a class="el" href="interval_8h_source.html#l00022">22</a> 行定义.</p>
|
||
|
||
<p class="reference">被这些函数引用 <a class="el" href="interval_8h_source.html#l00096">cmp()</a>, <a class="el" href="interval_8h_source.html#l00060">contains()</a>, <a class="el" href="interval_8h_source.html#l00047">mid()</a>, <a class="el" href="interval_8h_source.html#l00127">operator*()</a>, <a class="el" href="interval_8h_source.html#l00108">operator+()</a>, <a class="el" href="interval_8h_source.html#l00116">operator-()</a>, <a class="el" href="interval_8h_source.html#l00139">operator/()</a>, <a class="el" href="interval_8h_source.html#l00074">overlaps()</a>, <a class="el" href="interval_8h_source.html#l00158">sqrt()</a> , 以及 <a class="el" href="interval_8h_source.html#l00053">width()</a>.</p>
|
||
|
||
</div>
|
||
</div>
|
||
<hr/>该类的文档由以下文件生成:<ul>
|
||
<li>include/vde/foundation/<a class="el" href="interval_8h_source.html">interval.h</a></li>
|
||
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|
||
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||
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