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[287] | 3 | <title>mixpp: bdm::mlognorm Class Reference</title> |
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[259] | 62 | <li><a href="hierarchy.html"><span>Class Hierarchy</span></a></li> |
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| 63 | <li><a href="functions.html"><span>Class Members</span></a></li> |
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[287] | 66 | <div class="navpath"><b>bdm</b>::<a class="el" href="classbdm_1_1mlognorm.html">mlognorm</a> |
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[259] | 67 | </div> |
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| 68 | </div> |
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| 69 | <div class="contents"> |
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[538] | 70 | <h1>bdm::mlognorm Class Reference</h1><!-- doxytag: class="bdm::mlognorm" --><!-- doxytag: inherits="mpdf_internal< elognorm >" -->Log-Normal random walk. |
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[290] | 71 | <a href="#_details">More...</a> |
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[259] | 72 | <p> |
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[538] | 73 | <code>#include <<a class="el" href="exp__family_8h-source.html">exp_family.h</a>></code> |
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[290] | 74 | <p> |
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[259] | 75 | |
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| 76 | <p> |
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[290] | 77 | <a href="classbdm_1_1mlognorm-members.html">List of all members.</a><table border="0" cellpadding="0" cellspacing="0"> |
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[259] | 78 | <tr><td></td></tr> |
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| 79 | <tr><td colspan="2"><br><h2>Public Member Functions</h2></td></tr> |
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[287] | 80 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="a5d6eb2688d02e0348b96c4fbd7bde41"></a><!-- doxytag: member="bdm::mlognorm::mlognorm" ref="a5d6eb2688d02e0348b96c4fbd7bde41" args="()" --> |
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| 81 | </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mlognorm.html#a5d6eb2688d02e0348b96c4fbd7bde41">mlognorm</a> ()</td></tr> |
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[259] | 82 | |
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| 83 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Constructor. <br></td></tr> |
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[287] | 84 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="604cab0e8a76f9041dc3c606043bb39f"></a><!-- doxytag: member="bdm::mlognorm::set_parameters" ref="604cab0e8a76f9041dc3c606043bb39f" args="(int size, double k)" --> |
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| 85 | void </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mlognorm.html#604cab0e8a76f9041dc3c606043bb39f">set_parameters</a> (int size, double k)</td></tr> |
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[259] | 86 | |
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| 87 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Set value of <code>k</code>. <br></td></tr> |
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[538] | 88 | <tr><td class="memItemLeft" nowrap align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mlognorm.html#9106d8fd8bdf2b6be675ffd8f3ca584e">condition</a> (const vec &val)</td></tr> |
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[259] | 89 | |
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[396] | 90 | <tr><td class="memItemLeft" nowrap align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mlognorm.html#49e45ea13a869da607ef9be7a229128a">from_setting</a> (const Setting &set)</td></tr> |
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[353] | 91 | |
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[538] | 92 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="6b4d1cb8d7e230e313b4f0c905874d5a"></a><!-- doxytag: member="bdm::mlognorm::e" ref="6b4d1cb8d7e230e313b4f0c905874d5a" args="()" --> |
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| 93 | <a class="el" href="classbdm_1_1elognorm.html">elognorm</a> & </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mpdf__internal.html#6b4d1cb8d7e230e313b4f0c905874d5a">e</a> ()</td></tr> |
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| 94 | |
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| 95 | <tr><td class="mdescLeft"> </td><td class="mdescRight">access function to iepdf <br></td></tr> |
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| 96 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="d8e547695d1cc19219b91164d825c930"></a><!-- doxytag: member="bdm::mlognorm::samplecond" ref="d8e547695d1cc19219b91164d825c930" args="(const vec &cond)" --> |
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| 97 | vec </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mpdf__internal.html#d8e547695d1cc19219b91164d825c930">samplecond</a> (const vec &cond)</td></tr> |
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| 98 | |
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| 99 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Reimplements samplecond using <code>condition()</code>. <br></td></tr> |
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| 100 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="89076e62b8d7df7616bad68c94591948"></a><!-- doxytag: member="bdm::mlognorm::evallogcond" ref="89076e62b8d7df7616bad68c94591948" args="(const vec &val, const vec &cond)" --> |
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| 101 | double </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mpdf__internal.html#89076e62b8d7df7616bad68c94591948">evallogcond</a> (const vec &val, const vec &cond)</td></tr> |
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| 102 | |
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| 103 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Reimplements evallogcond using <code>condition()</code>. <br></td></tr> |
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| 104 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="e28c214e3063733a6e4d17738941c61c"></a><!-- doxytag: member="bdm::mlognorm::evallogcond_m" ref="e28c214e3063733a6e4d17738941c61c" args="(const mat &Dt, const vec &cond)" --> |
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| 105 | virtual vec </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mpdf__internal.html#e28c214e3063733a6e4d17738941c61c">evallogcond_m</a> (const mat &Dt, const vec &cond)</td></tr> |
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| 106 | |
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| 107 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Efficient version of evallogcond for matrices. <br></td></tr> |
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| 108 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="e82db07ce8af02f29cfd81e014edb3db"></a><!-- doxytag: member="bdm::mlognorm::evallogcond_m" ref="e82db07ce8af02f29cfd81e014edb3db" args="(const Array< vec > &Dt, const vec &cond)" --> |
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| 109 | virtual vec </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mpdf__internal.html#e82db07ce8af02f29cfd81e014edb3db">evallogcond_m</a> (const Array< vec > &Dt, const vec &cond)</td></tr> |
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| 110 | |
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| 111 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Efficient version of evallogcond for Array<vec>. <br></td></tr> |
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| 112 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="9554c554054da2d22cb8e908ae9c8823"></a><!-- doxytag: member="bdm::mlognorm::samplecond_m" ref="9554c554054da2d22cb8e908ae9c8823" args="(const vec &cond, int N)" --> |
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| 113 | virtual mat </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mpdf__internal.html#9554c554054da2d22cb8e908ae9c8823">samplecond_m</a> (const vec &cond, int N)</td></tr> |
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| 114 | |
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| 115 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Efficient version of samplecond. <br></td></tr> |
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[396] | 116 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="af0e6941ba5919cae1bc530e2181b109"></a><!-- doxytag: member="bdm::mlognorm::to_string" ref="af0e6941ba5919cae1bc530e2181b109" args="()" --> |
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| 117 | virtual string </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1root.html#af0e6941ba5919cae1bc530e2181b109">to_string</a> ()</td></tr> |
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[368] | 118 | |
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[353] | 119 | <tr><td class="mdescLeft"> </td><td class="mdescRight">This method returns a basic info about the current instance. <br></td></tr> |
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[396] | 120 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="67d954d255ede776eade7334d4895790"></a><!-- doxytag: member="bdm::mlognorm::to_setting" ref="67d954d255ede776eade7334d4895790" args="(Setting &set) const " --> |
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| 121 | virtual void </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1root.html#67d954d255ede776eade7334d4895790">to_setting</a> (Setting &set) const </td></tr> |
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[353] | 122 | |
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| 123 | <tr><td class="mdescLeft"> </td><td class="mdescRight">This method save all the instance properties into the Setting structure. <br></td></tr> |
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[396] | 124 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="1c314bd6d6dacb8ba78ea5eb88fd9516"></a><!-- doxytag: member="bdm::mlognorm::validate" ref="1c314bd6d6dacb8ba78ea5eb88fd9516" args="()" --> |
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| 125 | virtual void </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1root.html#1c314bd6d6dacb8ba78ea5eb88fd9516">validate</a> ()</td></tr> |
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[368] | 126 | |
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| 127 | <tr><td class="mdescLeft"> </td><td class="mdescRight">This method TODO. <br></td></tr> |
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[270] | 128 | <tr><td colspan="2"><div class="groupHeader">Access to attributes</div></td></tr> |
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[538] | 129 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="222d5280e309c5a053ba73841e98c151"></a><!-- doxytag: member="bdm::mlognorm::_rv" ref="222d5280e309c5a053ba73841e98c151" args="() const " --> |
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| 130 | <a class="el" href="classbdm_1_1RV.html">RV</a> </td><td class="memItemRight" valign="bottom"><b>_rv</b> () const </td></tr> |
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[259] | 131 | |
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[287] | 132 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="26001264236846897bd11e4baad47245"></a><!-- doxytag: member="bdm::mlognorm::_rvc" ref="26001264236846897bd11e4baad47245" args="()" --> |
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[270] | 133 | <a class="el" href="classbdm_1_1RV.html">RV</a> </td><td class="memItemRight" valign="bottom"><b>_rvc</b> ()</td></tr> |
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[259] | 134 | |
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[538] | 135 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="eea4a999ed9679181335927e9cb66d28"></a><!-- doxytag: member="bdm::mlognorm::dimension" ref="eea4a999ed9679181335927e9cb66d28" args="() const " --> |
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| 136 | int </td><td class="memItemRight" valign="bottom"><b>dimension</b> () const </td></tr> |
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[270] | 137 | |
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[287] | 138 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="35e135910aed187b7290742f50e61bc8"></a><!-- doxytag: member="bdm::mlognorm::dimensionc" ref="35e135910aed187b7290742f50e61bc8" args="()" --> |
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[270] | 139 | int </td><td class="memItemRight" valign="bottom"><b>dimensionc</b> ()</td></tr> |
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| 140 | |
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| 141 | <tr><td colspan="2"><div class="groupHeader">Connection to other objects</div></td></tr> |
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[287] | 142 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="7631a5570e4ade1420065e8df78f4401"></a><!-- doxytag: member="bdm::mlognorm::set_rvc" ref="7631a5570e4ade1420065e8df78f4401" args="(const RV &rvc0)" --> |
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[270] | 143 | void </td><td class="memItemRight" valign="bottom"><b>set_rvc</b> (const <a class="el" href="classbdm_1_1RV.html">RV</a> &rvc0)</td></tr> |
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| 144 | |
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[287] | 145 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="18ac26bc2f96ae01ef4eb06178abbd75"></a><!-- doxytag: member="bdm::mlognorm::set_rv" ref="18ac26bc2f96ae01ef4eb06178abbd75" args="(const RV &rv0)" --> |
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[270] | 146 | void </td><td class="memItemRight" valign="bottom"><b>set_rv</b> (const <a class="el" href="classbdm_1_1RV.html">RV</a> &rv0)</td></tr> |
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| 147 | |
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[287] | 148 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="f8e3798150b42fd1f3e16ddbbe0e7045"></a><!-- doxytag: member="bdm::mlognorm::isnamed" ref="f8e3798150b42fd1f3e16ddbbe0e7045" args="()" --> |
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[270] | 149 | bool </td><td class="memItemRight" valign="bottom"><b>isnamed</b> ()</td></tr> |
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| 150 | |
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[538] | 151 | <tr><td colspan="2"><br><h2>Protected Member Functions</h2></td></tr> |
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| 152 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="147afacb393324bb3f9a7a89e33f835e"></a><!-- doxytag: member="bdm::mlognorm::set_ep" ref="147afacb393324bb3f9a7a89e33f835e" args="(epdf &iepdf)" --> |
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| 153 | void </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mpdf.html#147afacb393324bb3f9a7a89e33f835e">set_ep</a> (<a class="el" href="classbdm_1_1epdf.html">epdf</a> &<a class="el" href="classbdm_1_1mpdf__internal.html#47bab632af15120c88aad647ae129468">iepdf</a>)</td></tr> |
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[259] | 154 | |
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[538] | 155 | <tr><td class="mdescLeft"> </td><td class="mdescRight">set internal pointer <code>ep</code> to point to given <code>iepdf</code> <br></td></tr> |
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| 156 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="7555b377f8b5895c9b759c9628ee3e20"></a><!-- doxytag: member="bdm::mlognorm::set_ep" ref="7555b377f8b5895c9b759c9628ee3e20" args="(epdf *iepdfp)" --> |
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| 157 | void </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mpdf.html#7555b377f8b5895c9b759c9628ee3e20">set_ep</a> (<a class="el" href="classbdm_1_1epdf.html">epdf</a> *iepdfp)</td></tr> |
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| 158 | |
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| 159 | <tr><td class="mdescLeft"> </td><td class="mdescRight">set internal pointer <code>ep</code> to point to given <code>iepdf</code> <br></td></tr> |
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| 160 | <tr><td colspan="2"><br><h2>Protected Attributes</h2></td></tr> |
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[287] | 161 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="a51128a2e503b8b2ce698244b9e0db1a"></a><!-- doxytag: member="bdm::mlognorm::sig2" ref="a51128a2e503b8b2ce698244b9e0db1a" args="" --> |
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| 162 | double </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mlognorm.html#a51128a2e503b8b2ce698244b9e0db1a">sig2</a></td></tr> |
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[259] | 163 | |
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[287] | 164 | <tr><td class="mdescLeft"> </td><td class="mdescRight">parameter 1/2*sigma^2 <br></td></tr> |
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| 165 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="7d0063f77d899ef22e8c5edd642176d2"></a><!-- doxytag: member="bdm::mlognorm::mu" ref="7d0063f77d899ef22e8c5edd642176d2" args="" --> |
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| 166 | vec & </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mlognorm.html#7d0063f77d899ef22e8c5edd642176d2">mu</a></td></tr> |
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[259] | 167 | |
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[287] | 168 | <tr><td class="mdescLeft"> </td><td class="mdescRight">access <br></td></tr> |
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[538] | 169 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="47bab632af15120c88aad647ae129468"></a><!-- doxytag: member="bdm::mlognorm::iepdf" ref="47bab632af15120c88aad647ae129468" args="" --> |
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| 170 | <a class="el" href="classbdm_1_1elognorm.html">elognorm</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mpdf__internal.html#47bab632af15120c88aad647ae129468">iepdf</a></td></tr> |
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| 171 | |
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| 172 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Internal epdf used for sampling. <br></td></tr> |
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[287] | 173 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="7c1900976ff13dbc09c9729b3bbff9e6"></a><!-- doxytag: member="bdm::mlognorm::dimc" ref="7c1900976ff13dbc09c9729b3bbff9e6" args="" --> |
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[270] | 174 | int </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mpdf.html#7c1900976ff13dbc09c9729b3bbff9e6">dimc</a></td></tr> |
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[259] | 175 | |
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[270] | 176 | <tr><td class="mdescLeft"> </td><td class="mdescRight">dimension of the condition <br></td></tr> |
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[287] | 177 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="5a5f08950daa08b85b01ddf4e1c36288"></a><!-- doxytag: member="bdm::mlognorm::rvc" ref="5a5f08950daa08b85b01ddf4e1c36288" args="" --> |
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[259] | 178 | <a class="el" href="classbdm_1_1RV.html">RV</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mpdf.html#5a5f08950daa08b85b01ddf4e1c36288">rvc</a></td></tr> |
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| 179 | |
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| 180 | <tr><td class="mdescLeft"> </td><td class="mdescRight">random variable in condition <br></td></tr> |
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| 181 | </table> |
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[290] | 182 | <hr><a name="_details"></a><h2>Detailed Description</h2> |
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| 183 | Log-Normal random walk. |
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| 184 | <p> |
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[397] | 185 | Mean value, <img class="formulaInl" alt="$\mu$" src="form_75.png">, is...<p> |
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| 186 | ==== Check == vv = Standard deviation of the random walk is proportional to one <img class="formulaInl" alt="$k$" src="form_76.png">-th the mean. This is achieved by setting <img class="formulaInl" alt="$\alpha=k$" src="form_77.png"> and <img class="formulaInl" alt="$\beta=k/\mu$" src="form_78.png">.<p> |
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| 187 | The standard deviation of the walk is then: <img class="formulaInl" alt="$\mu/\sqrt(k)$" src="form_79.png">. <hr><h2>Member Function Documentation</h2> |
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[538] | 188 | <a class="anchor" name="9106d8fd8bdf2b6be675ffd8f3ca584e"></a><!-- doxytag: member="bdm::mlognorm::condition" ref="9106d8fd8bdf2b6be675ffd8f3ca584e" args="(const vec &val)" --> |
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[368] | 189 | <div class="memitem"> |
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| 190 | <div class="memproto"> |
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| 191 | <table class="memname"> |
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| 192 | <tr> |
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[538] | 193 | <td class="memname">void bdm::mlognorm::condition </td> |
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[368] | 194 | <td>(</td> |
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[259] | 195 | <td class="paramtype">const vec & </td> |
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[269] | 196 | <td class="paramname"> <em>cond</em> </td> |
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| 197 | <td> ) </td> |
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[538] | 198 | <td><code> [inline, virtual]</code></td> |
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[259] | 199 | </tr> |
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| 200 | </table> |
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| 201 | </div> |
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| 202 | <div class="memdoc"> |
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| 203 | |
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| 204 | <p> |
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[538] | 205 | Update <code>iepdf</code> so that it represents this <a class="el" href="classbdm_1_1mpdf.html" title="Conditional probability density, e.g. modeling , where is random variable, rv, and...">mpdf</a> conditioned on <code>rvc</code> = cond This function provides convenient reimplementation in offsprings |
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| 206 | <p>Reimplemented from <a class="el" href="classbdm_1_1mpdf__internal.html#1ac61da081667fc54bcd050cc4f6a93e">bdm::mpdf_internal< elognorm ></a>.</p> |
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[259] | 207 | |
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[538] | 208 | <p>References <a class="el" href="exp__family_8h-source.html#l00914">mu</a>, and <a class="el" href="exp__family_8h-source.html#l00911">sig2</a>.</p> |
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[259] | 209 | |
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[538] | 210 | <p>Referenced by <a class="el" href="exp__family_8cpp-source.html#l00336">from_setting()</a>.</p> |
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[271] | 211 | |
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[259] | 212 | </div> |
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| 213 | </div><p> |
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[538] | 214 | <a class="anchor" name="49e45ea13a869da607ef9be7a229128a"></a><!-- doxytag: member="bdm::mlognorm::from_setting" ref="49e45ea13a869da607ef9be7a229128a" args="(const Setting &set)" --> |
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[259] | 215 | <div class="memitem"> |
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| 216 | <div class="memproto"> |
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| 217 | <table class="memname"> |
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| 218 | <tr> |
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[538] | 219 | <td class="memname">void bdm::mlognorm::from_setting </td> |
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[259] | 220 | <td>(</td> |
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[538] | 221 | <td class="paramtype">const Setting & </td> |
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| 222 | <td class="paramname"> <em>set</em> </td> |
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| 223 | <td> ) </td> |
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| 224 | <td><code> [virtual]</code></td> |
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[259] | 225 | </tr> |
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| 226 | </table> |
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| 227 | </div> |
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| 228 | <div class="memdoc"> |
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| 229 | |
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| 230 | <p> |
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[538] | 231 | <a class="el" href="classbdm_1_1UI.html" title="UI is an abstract class which collects all the auxiliary functions useful to prepare...">UI</a> for <a class="el" href="classbdm_1_1mlognorm.html" title="Log-Normal random walk.">mlognorm</a><p> |
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| 232 | The <a class="el" href="classbdm_1_1mlognorm.html" title="Log-Normal random walk.">mlognorm</a> is constructed from a structure with fields: <div class="fragment"><pre class="fragment"> system = { |
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| 233 | type = <span class="stringliteral">"mlognorm"</span>; |
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| 234 | k = 0.1; <span class="comment">// constant k</span> |
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| 235 | mu0 = [1., 1.]; |
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| 236 | |
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| 237 | <span class="comment">// == OPTIONAL ==</span> |
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| 238 | <span class="comment">// description of y variables</span> |
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| 239 | y = {type=<span class="stringliteral">"rv"</span>; names=[<span class="stringliteral">"y"</span>, <span class="stringliteral">"u"</span>];}; |
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| 240 | <span class="comment">// description of u variable</span> |
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| 241 | u = {type=<span class="stringliteral">"rv"</span>; names=[];} |
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| 242 | }; |
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| 243 | </pre></div> |
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| 244 | <p>Reimplemented from <a class="el" href="classbdm_1_1mpdf.html#30a0bceb948e287d497c578e371b1667">bdm::mpdf</a>.</p> |
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[259] | 245 | |
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[538] | 246 | <p>References <a class="el" href="exp__family_8h-source.html#l00930">condition()</a>, <a class="el" href="user__info_8h-source.html#l00410">bdm::UI::get()</a>, and <a class="el" href="exp__family_8h-source.html#l00923">set_parameters()</a>.</p> |
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[259] | 247 | |
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| 248 | </div> |
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| 249 | </div><p> |
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[368] | 250 | <hr>The documentation for this class was generated from the following files:<ul> |
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[538] | 251 | <li><a class="el" href="exp__family_8h-source.html">exp_family.h</a><li>exp_family.cpp</ul> |
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[397] | 252 | </div> |
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[538] | 253 | <hr size="1"><address style="text-align: right;"><small>Generated on Sun Aug 16 17:58:19 2009 for mixpp by |
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[259] | 254 | <a href="http://www.doxygen.org/index.html"> |
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[538] | 255 | <img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.8 </small></address> |
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[259] | 256 | </body> |
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| 257 | </html> |
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