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| [290] | 55 | <li class="current"><a href="annotated.html"><span>Classes</span></a></li> | 
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|  | 57 | </ul> | 
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|  | 59 | <div class="tabs"> | 
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|  | 60 | <ul> | 
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|  | 61 | <li><a href="annotated.html"><span>Class List</span></a></li> | 
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| [290] | 62 | <li><a href="classes.html"><span>Class Index</span></a></li> | 
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| [259] | 63 | <li><a href="hierarchy.html"><span>Class Hierarchy</span></a></li> | 
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|  | 64 | <li><a href="functions.html"><span>Class Members</span></a></li> | 
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|  | 65 | </ul> | 
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|  | 66 | </div> | 
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| [271] | 67 | <div class="navpath"><b>bdm</b>::<a class="el" href="classbdm_1_1bilinfn.html">bilinfn</a> | 
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| [259] | 68 | </div> | 
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|  | 69 | </div> | 
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|  | 70 | <div class="contents"> | 
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| [290] | 71 | <h1>bdm::bilinfn Class Reference</h1><!-- doxytag: class="bdm::bilinfn" --><!-- doxytag: inherits="bdm::diffbifn" -->Class representing function <img class="formulaInl" alt="$f(x,u) = Ax+Bu$" src="form_82.png">. | 
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|  | 72 | <a href="#_details">More...</a> | 
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| [259] | 73 | <p> | 
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| [290] | 74 | <code>#include <<a class="el" href="libFN_8h-source.html">libFN.h</a>></code> | 
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|  | 75 | <p> | 
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| [259] | 76 |  | 
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|  | 77 | <p> | 
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| [290] | 78 | <a href="classbdm_1_1bilinfn-members.html">List of all members.</a><table border="0" cellpadding="0" cellspacing="0"> | 
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| [259] | 79 | <tr><td></td></tr> | 
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|  | 80 | <tr><td colspan="2"><br><h2>Public Member Functions</h2></td></tr> | 
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|  | 81 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="188f31066bd72e1bf0ddacd1eb0e6af3"></a><!-- doxytag: member="bdm::bilinfn::eval" ref="188f31066bd72e1bf0ddacd1eb0e6af3" args="(const vec &cond)" --> | 
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|  | 82 | vec </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1diffbifn.html#188f31066bd72e1bf0ddacd1eb0e6af3">eval</a> (const vec &cond)</td></tr> | 
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|  | 83 |  | 
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| [275] | 84 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Evaluates <img class="formulaInl" alt="$f(x0,u0)$" src="form_83.png"> (VS: Do we really need common eval? ). <br></td></tr> | 
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| [259] | 85 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="1b3c8f5949f13d86d2661e191d4b369b"></a><!-- doxytag: member="bdm::bilinfn::_dimx" ref="1b3c8f5949f13d86d2661e191d4b369b" args="() const " --> | 
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|  | 86 | int </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1diffbifn.html#1b3c8f5949f13d86d2661e191d4b369b">_dimx</a> () const </td></tr> | 
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|  | 87 |  | 
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|  | 88 | <tr><td class="mdescLeft"> </td><td class="mdescRight">access function <br></td></tr> | 
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|  | 89 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="031458f38c97cdb3aecde16f6a06dced"></a><!-- doxytag: member="bdm::bilinfn::_dimu" ref="031458f38c97cdb3aecde16f6a06dced" args="() const " --> | 
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|  | 90 | int </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1diffbifn.html#031458f38c97cdb3aecde16f6a06dced">_dimu</a> () const </td></tr> | 
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|  | 91 |  | 
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|  | 92 | <tr><td class="mdescLeft"> </td><td class="mdescRight">access function <br></td></tr> | 
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|  | 93 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="0786e40fade2663a70d654c1dda5d73e"></a><!-- doxytag: member="bdm::bilinfn::condition" ref="0786e40fade2663a70d654c1dda5d73e" args="(const vec &val)" --> | 
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|  | 94 | virtual void </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1fnc.html#0786e40fade2663a70d654c1dda5d73e">condition</a> (const vec &val)</td></tr> | 
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|  | 95 |  | 
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|  | 96 | <tr><td class="mdescLeft"> </td><td class="mdescRight">function substitutes given value into an appropriate position <br></td></tr> | 
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| [287] | 97 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="083832294da9d1e40804158b979c4341"></a><!-- doxytag: member="bdm::bilinfn::dimension" ref="083832294da9d1e40804158b979c4341" args="() const " --> | 
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|  | 98 | int </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1fnc.html#083832294da9d1e40804158b979c4341">dimension</a> () const </td></tr> | 
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| [259] | 99 |  | 
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|  | 100 | <tr><td class="mdescLeft"> </td><td class="mdescRight">access function <br></td></tr> | 
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| [271] | 101 | <tr><td colspan="2"><div class="groupHeader">Constructors</div></td></tr> | 
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|  | 102 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="dc263f8d8d1876023a9d161d17a3c621"></a><!-- doxytag: member="bdm::bilinfn::bilinfn" ref="dc263f8d8d1876023a9d161d17a3c621" args="()" --> | 
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|  | 103 |  </td><td class="memItemRight" valign="bottom"><b>bilinfn</b> ()</td></tr> | 
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|  | 104 |  | 
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|  | 105 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="91d7d9fcd6146ddf7eef13f02df10f79"></a><!-- doxytag: member="bdm::bilinfn::bilinfn" ref="91d7d9fcd6146ddf7eef13f02df10f79" args="(const mat A0, const mat B0)" --> | 
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|  | 106 |  </td><td class="memItemRight" valign="bottom"><b>bilinfn</b> (const mat A0, const mat B0)</td></tr> | 
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|  | 107 |  | 
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|  | 108 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="5a508fbb5fc013904d9b62b2231442de"></a><!-- doxytag: member="bdm::bilinfn::set_parameters" ref="5a508fbb5fc013904d9b62b2231442de" args="(const mat A0, const mat B0)" --> | 
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|  | 109 | void </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1bilinfn.html#5a508fbb5fc013904d9b62b2231442de">set_parameters</a> (const mat A0, const mat B0)</td></tr> | 
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|  | 110 |  | 
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|  | 111 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Alternative constructor. <br></td></tr> | 
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|  | 112 | <tr><td colspan="2"><div class="groupHeader">Mathematical operations</div></td></tr> | 
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| [296] | 113 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="846c21e8e8d41555eb7c075f5ff86ffd"></a><!-- doxytag: member="bdm::bilinfn::eval" ref="846c21e8e8d41555eb7c075f5ff86ffd" args="(const vec &x0, const vec &u0)" --> | 
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|  | 114 | vec </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1bilinfn.html#846c21e8e8d41555eb7c075f5ff86ffd">eval</a> (const vec &x0, const vec &u0)</td></tr> | 
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| [271] | 115 |  | 
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| [275] | 116 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Evaluates <img class="formulaInl" alt="$f(x0,u0)$" src="form_83.png">. <br></td></tr> | 
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| [271] | 117 | <tr><td class="memItemLeft" nowrap align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1bilinfn.html#33066f1054dd259df2ec5fafae4b46e6">dfdx_cond</a> (const vec &x0, const vec &u0, mat &F, bool full)</td></tr> | 
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|  | 118 |  | 
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| [275] | 119 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Evaluates <img class="formulaInl" alt="$A=\frac{d}{dx}f(x,u)|_{x0,u0}$" src="form_84.png"> and writes result into <code>A</code> .  <a href="#33066f1054dd259df2ec5fafae4b46e6"></a><br></td></tr> | 
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| [271] | 120 | <tr><td class="memItemLeft" nowrap align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1bilinfn.html#9cfe2f1c115ba7c3c75849a10a4f2c08">dfdu_cond</a> (const vec &x0, const vec &u0, mat &F, bool full=true)</td></tr> | 
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|  | 121 |  | 
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| [275] | 122 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Evaluates <img class="formulaInl" alt="$A=\frac{d}{du}f(x,u)|_{x0,u0}$" src="form_86.png"> and writes result into <code>A</code> .  <a href="#9cfe2f1c115ba7c3c75849a10a4f2c08"></a><br></td></tr> | 
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| [259] | 123 | <tr><td colspan="2"><br><h2>Protected Attributes</h2></td></tr> | 
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|  | 124 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="5f56547d8e9378b669d3cc19d7831cbb"></a><!-- doxytag: member="bdm::bilinfn::rvx" ref="5f56547d8e9378b669d3cc19d7831cbb" args="" --> | 
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|  | 125 | <a class="el" href="classbdm_1_1RV.html">RV</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1diffbifn.html#5f56547d8e9378b669d3cc19d7831cbb">rvx</a></td></tr> | 
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|  | 126 |  | 
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|  | 127 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Indentifier of the first rv. <br></td></tr> | 
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|  | 128 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="a8e3e861d5ec2a7ae9524e6338e58320"></a><!-- doxytag: member="bdm::bilinfn::rvu" ref="a8e3e861d5ec2a7ae9524e6338e58320" args="" --> | 
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|  | 129 | <a class="el" href="classbdm_1_1RV.html">RV</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1diffbifn.html#a8e3e861d5ec2a7ae9524e6338e58320">rvu</a></td></tr> | 
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|  | 130 |  | 
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|  | 131 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Indentifier of the second rv. <br></td></tr> | 
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|  | 132 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="a193aa2c4a500139c0c4b669691e588e"></a><!-- doxytag: member="bdm::bilinfn::dimx" ref="a193aa2c4a500139c0c4b669691e588e" args="" --> | 
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|  | 133 | int </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1diffbifn.html#a193aa2c4a500139c0c4b669691e588e">dimx</a></td></tr> | 
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|  | 134 |  | 
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|  | 135 | <tr><td class="mdescLeft"> </td><td class="mdescRight">cache for rvx.count() <br></td></tr> | 
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|  | 136 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="30c45617eec89adeb4ebaa763d093fb0"></a><!-- doxytag: member="bdm::bilinfn::dimu" ref="30c45617eec89adeb4ebaa763d093fb0" args="" --> | 
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|  | 137 | int </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1diffbifn.html#30c45617eec89adeb4ebaa763d093fb0">dimu</a></td></tr> | 
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|  | 138 |  | 
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|  | 139 | <tr><td class="mdescLeft"> </td><td class="mdescRight">cache for rvu.count() <br></td></tr> | 
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|  | 140 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="52156cb4a52a62d51fc7455985797a62"></a><!-- doxytag: member="bdm::bilinfn::dimy" ref="52156cb4a52a62d51fc7455985797a62" args="" --> | 
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|  | 141 | int </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1fnc.html#52156cb4a52a62d51fc7455985797a62">dimy</a></td></tr> | 
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|  | 142 |  | 
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|  | 143 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Length of the output vector. <br></td></tr> | 
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|  | 144 | </table> | 
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| [290] | 145 | <hr><a name="_details"></a><h2>Detailed Description</h2> | 
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|  | 146 | Class representing function <img class="formulaInl" alt="$f(x,u) = Ax+Bu$" src="form_82.png">. <hr><h2>Member Function Documentation</h2> | 
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|  | 147 | <a class="anchor" name="9cfe2f1c115ba7c3c75849a10a4f2c08"></a><!-- doxytag: member="bdm::bilinfn::dfdu_cond" ref="9cfe2f1c115ba7c3c75849a10a4f2c08" args="(const vec &x0, const vec &u0, mat &F, bool full=true)" --> | 
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| [259] | 148 | <div class="memitem"> | 
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|  | 149 | <div class="memproto"> | 
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|  | 150 | <table class="memname"> | 
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|  | 151 | <tr> | 
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| [290] | 152 | <td class="memname">void bdm::bilinfn::dfdu_cond           </td> | 
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| [259] | 153 | <td>(</td> | 
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|  | 154 | <td class="paramtype">const vec & </td> | 
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|  | 155 | <td class="paramname"> <em>x0</em>, </td> | 
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|  | 156 | </tr> | 
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|  | 157 | <tr> | 
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|  | 158 | <td class="paramkey"></td> | 
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|  | 159 | <td></td> | 
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|  | 160 | <td class="paramtype">const vec & </td> | 
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|  | 161 | <td class="paramname"> <em>u0</em>, </td> | 
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|  | 162 | </tr> | 
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|  | 163 | <tr> | 
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|  | 164 | <td class="paramkey"></td> | 
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|  | 165 | <td></td> | 
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|  | 166 | <td class="paramtype">mat & </td> | 
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|  | 167 | <td class="paramname"> <em>A</em>, </td> | 
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|  | 168 | </tr> | 
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|  | 169 | <tr> | 
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|  | 170 | <td class="paramkey"></td> | 
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|  | 171 | <td></td> | 
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|  | 172 | <td class="paramtype">bool </td> | 
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| [290] | 173 | <td class="paramname"> <em>full</em> = <code>true</code></td><td> </td> | 
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| [259] | 174 | </tr> | 
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|  | 175 | <tr> | 
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|  | 176 | <td></td> | 
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|  | 177 | <td>)</td> | 
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|  | 178 | <td></td><td></td><td><code> [inline, virtual]</code></td> | 
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|  | 179 | </tr> | 
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|  | 180 | </table> | 
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|  | 181 | </div> | 
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|  | 182 | <div class="memdoc"> | 
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|  | 183 |  | 
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|  | 184 | <p> | 
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| [290] | 185 | Evaluates <img class="formulaInl" alt="$A=\frac{d}{du}f(x,u)|_{x0,u0}$" src="form_86.png"> and writes result into <code>A</code> . | 
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| [259] | 186 | <p> | 
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|  | 187 | <dl compact><dt><b>Parameters:</b></dt><dd> | 
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|  | 188 | <table border="0" cellspacing="2" cellpadding="0"> | 
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|  | 189 | <tr><td valign="top"></td><td valign="top"><em>full</em> </td><td>denotes that even unchanged entries are to be rewritten. When, false only the changed elements are computed. </td></tr> | 
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|  | 190 | <tr><td valign="top"></td><td valign="top"><em>x0</em> </td><td>numeric value of <img class="formulaInl" alt="$x$" src="form_28.png">, </td></tr> | 
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| [275] | 191 | <tr><td valign="top"></td><td valign="top"><em>u0</em> </td><td>numeric value of <img class="formulaInl" alt="$u$" src="form_85.png"> </td></tr> | 
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| [259] | 192 | <tr><td valign="top"></td><td valign="top"><em>A</em> </td><td>a place where the result will be stored. </td></tr> | 
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|  | 193 | </table> | 
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|  | 194 | </dl> | 
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|  | 195 |  | 
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| [290] | 196 | <p>Reimplemented from <a class="el" href="classbdm_1_1diffbifn.html#6ea1dc7a482601b29c5ba36a52d20d07">bdm::diffbifn</a>.</p> | 
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| [259] | 197 |  | 
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|  | 198 | </div> | 
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|  | 199 | </div><p> | 
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| [290] | 200 | <a class="anchor" name="33066f1054dd259df2ec5fafae4b46e6"></a><!-- doxytag: member="bdm::bilinfn::dfdx_cond" ref="33066f1054dd259df2ec5fafae4b46e6" args="(const vec &x0, const vec &u0, mat &F, bool full)" --> | 
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| [259] | 201 | <div class="memitem"> | 
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|  | 202 | <div class="memproto"> | 
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|  | 203 | <table class="memname"> | 
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|  | 204 | <tr> | 
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| [290] | 205 | <td class="memname">void bdm::bilinfn::dfdx_cond           </td> | 
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| [259] | 206 | <td>(</td> | 
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|  | 207 | <td class="paramtype">const vec & </td> | 
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|  | 208 | <td class="paramname"> <em>x0</em>, </td> | 
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|  | 209 | </tr> | 
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|  | 210 | <tr> | 
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|  | 211 | <td class="paramkey"></td> | 
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|  | 212 | <td></td> | 
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|  | 213 | <td class="paramtype">const vec & </td> | 
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|  | 214 | <td class="paramname"> <em>u0</em>, </td> | 
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|  | 215 | </tr> | 
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|  | 216 | <tr> | 
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|  | 217 | <td class="paramkey"></td> | 
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|  | 218 | <td></td> | 
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|  | 219 | <td class="paramtype">mat & </td> | 
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|  | 220 | <td class="paramname"> <em>A</em>, </td> | 
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|  | 221 | </tr> | 
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|  | 222 | <tr> | 
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|  | 223 | <td class="paramkey"></td> | 
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|  | 224 | <td></td> | 
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|  | 225 | <td class="paramtype">bool </td> | 
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| [290] | 226 | <td class="paramname"> <em>full</em></td><td> </td> | 
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| [259] | 227 | </tr> | 
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|  | 228 | <tr> | 
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|  | 229 | <td></td> | 
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|  | 230 | <td>)</td> | 
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|  | 231 | <td></td><td></td><td><code> [inline, virtual]</code></td> | 
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|  | 232 | </tr> | 
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|  | 233 | </table> | 
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|  | 234 | </div> | 
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|  | 235 | <div class="memdoc"> | 
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|  | 236 |  | 
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|  | 237 | <p> | 
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| [290] | 238 | Evaluates <img class="formulaInl" alt="$A=\frac{d}{dx}f(x,u)|_{x0,u0}$" src="form_84.png"> and writes result into <code>A</code> . | 
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| [259] | 239 | <p> | 
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|  | 240 | <dl compact><dt><b>Parameters:</b></dt><dd> | 
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|  | 241 | <table border="0" cellspacing="2" cellpadding="0"> | 
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|  | 242 | <tr><td valign="top"></td><td valign="top"><em>full</em> </td><td>denotes that even unchanged entries are to be rewritten. When, false only the changed elements are computed. </td></tr> | 
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|  | 243 | <tr><td valign="top"></td><td valign="top"><em>x0</em> </td><td>numeric value of <img class="formulaInl" alt="$x$" src="form_28.png">, </td></tr> | 
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| [275] | 244 | <tr><td valign="top"></td><td valign="top"><em>u0</em> </td><td>numeric value of <img class="formulaInl" alt="$u$" src="form_85.png"> </td></tr> | 
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| [259] | 245 | <tr><td valign="top"></td><td valign="top"><em>A</em> </td><td>a place where the result will be stored. </td></tr> | 
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|  | 246 | </table> | 
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|  | 247 | </dl> | 
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|  | 248 |  | 
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| [290] | 249 | <p>Reimplemented from <a class="el" href="classbdm_1_1diffbifn.html#651184f808a35f236dbfea21aca1b6ac">bdm::diffbifn</a>.</p> | 
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| [259] | 250 |  | 
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|  | 251 | </div> | 
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|  | 252 | </div><p> | 
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| [296] | 253 | <hr>The documentation for this class was generated from the following file:<ul> | 
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|  | 254 | <li><a class="el" href="libFN_8h-source.html">libFN.h</a></ul> | 
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| [259] | 255 | </div> | 
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| [312] | 256 | <hr size="1"><address style="text-align: right;"><small>Generated on Thu Apr 9 14:33:21 2009 for mixpp by  | 
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| [259] | 257 | <a href="http://www.doxygen.org/index.html"> | 
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| [290] | 258 | <img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.8 </small></address> | 
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| [259] | 259 | </body> | 
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|  | 260 | </html> | 
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