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<a name="l1"></a><span class=cF0>#</span><span class=cF1>help_index</span><span class=cF0> </span><span class=cF6>&quot;Math/ODE&quot;</span><span class=cF0>
<a name="l2"></a>#</span><span class=cF1>help_file</span><span class=cF0> </span><span class=cF6>&quot;::/Doc/ODE&quot;</span><span class=cF0>
<a name="l3"></a>
<a name="l4"></a></span><span class=cF2>//See </span><a href="/Wb/Doc/Credits.DD.HTML#l1"><span class=cF4>::/Doc/Credits.DD</span></a><span class=cF2>.</span><span class=cF0>
<a name="l5"></a>
<a name="l6"></a></span><span class=cF1>F64</span><span class=cF0> </span><span class=cF5>LowPass1</span><span class=cF0>(</span><span class=cF1>F64</span><span class=cF0> a,</span><span class=cF1>F64</span><span class=cF0> y0,</span><span class=cF1>F64</span><span class=cF0> y,</span><span class=cF1>F64</span><span class=cF0> dt=1.0)
<a name="l7"></a>{</span><span class=cF2>//First order low pass filter</span><span class=cF0>
<a name="l8"></a>  dt=</span><span class=cF5>Exp</span><span class=cF0>(-a*dt);
<a name="l9"></a>  </span><span class=cF1>return</span><span class=cF0> y0*dt+y*(1.0-dt);
<a name="l10"></a>}
<a name="l11"></a>
<a name="l12"></a></span><span class=cF1>U0</span><span class=cF0> </span><span class=cF5>ODERstPtrs</span><span class=cF0>(</span><span class=cF9>CMathODE</span><span class=cF0> *ode)
<a name="l13"></a>{
<a name="l14"></a>  </span><span class=cF9>I64</span><span class=cF0> s=ode-&gt;n_internal*</span><span class=cF1>sizeof</span><span class=cF0>(</span><span class=cF1>F64</span><span class=cF0>);
<a name="l15"></a>  </span><span class=cF1>F64</span><span class=cF0> *ptr=ode-&gt;array_base;
<a name="l16"></a>  ode-&gt;state_internal=ptr;      ptr(</span><span class=cF9>I64</span><span class=cF0>)+=s;
<a name="l17"></a>  ode-&gt;state_scale=ptr;         ptr(</span><span class=cF9>I64</span><span class=cF0>)+=s;
<a name="l18"></a>  ode-&gt;DstateDt=ptr;            ptr(</span><span class=cF9>I64</span><span class=cF0>)+=s;
<a name="l19"></a>  ode-&gt;initial_state=ptr;       ptr(</span><span class=cF9>I64</span><span class=cF0>)+=s;
<a name="l20"></a>  ode-&gt;tmp0=ptr;        ptr(</span><span class=cF9>I64</span><span class=cF0>)+=s;
<a name="l21"></a>  ode-&gt;tmp1=ptr;        ptr(</span><span class=cF9>I64</span><span class=cF0>)+=s;
<a name="l22"></a>  ode-&gt;tmp2=ptr;        ptr(</span><span class=cF9>I64</span><span class=cF0>)+=s;
<a name="l23"></a>  ode-&gt;tmp3=ptr;        ptr(</span><span class=cF9>I64</span><span class=cF0>)+=s;
<a name="l24"></a>  ode-&gt;tmp4=ptr;        ptr(</span><span class=cF9>I64</span><span class=cF0>)+=s;
<a name="l25"></a>  ode-&gt;tmp5=ptr;        ptr(</span><span class=cF9>I64</span><span class=cF0>)+=s;
<a name="l26"></a>  ode-&gt;tmp6=ptr;        ptr(</span><span class=cF9>I64</span><span class=cF0>)+=s;
<a name="l27"></a>  ode-&gt;tmp7=ptr;
<a name="l28"></a>}
<a name="l29"></a>
<a name="l30"></a></span><span class=cF1>public</span><span class=cF0> </span><span class=cF9>CMathODE</span><span class=cF0> *</span><span class=cF5>ODENew</span><span class=cF0>(</span><span class=cF9>I64</span><span class=cF0> n,</span><span class=cF1>F64</span><span class=cF0> max_tolerance=1e-6,</span><span class=cF9>I64</span><span class=cF0> flags=0)
<a name="l31"></a>{</span><span class=cF2>//Make differential equation ctrl struct. See </span><a href="/Wb/Kernel/KernelA.HH.HTML#l241"><span class=cF4>flags</span></a><span class=cF2>.</span><span class=cF0>
<a name="l32"></a>  </span><span class=cF2>//The tolerance is not precise.</span><span class=cF0>
<a name="l33"></a>  </span><span class=cF2>//You can min_tolerance and it will</span><span class=cF0>
<a name="l34"></a>  </span><span class=cF2>//dynamically adjust tolerance to utilize</span><span class=cF0>
<a name="l35"></a>  </span><span class=cF2>//the CPU.</span><span class=cF0>
<a name="l36"></a>  </span><span class=cF9>I64</span><span class=cF0> s=n*</span><span class=cF1>sizeof</span><span class=cF0>(</span><span class=cF1>F64</span><span class=cF0>);
<a name="l37"></a>  </span><span class=cF9>CMathODE</span><span class=cF0> *ode=</span><span class=cF5>CAlloc</span><span class=cF0>(</span><span class=cF1>sizeof</span><span class=cF7>(</span><span class=cF9>CMathODE</span><span class=cF7>)</span><span class=cF0>);
<a name="l38"></a>  ode-&gt;t_scale=1.0;
<a name="l39"></a>  ode-&gt;flags=flags;
<a name="l40"></a>  ode-&gt;n_internal=ode-&gt;n=n;
<a name="l41"></a>  ode-&gt;h=1e-6;
<a name="l42"></a>  ode-&gt;h_min=1e-64;
<a name="l43"></a>  ode-&gt;h_max=1e32;
<a name="l44"></a>  ode-&gt;max_tolerance=ode-&gt;min_tolerance=ode-&gt;tolerance_internal=max_tolerance;
<a name="l45"></a>  ode-&gt;win_task=ode-&gt;mem_task=</span><span class=cF5>Fs</span><span class=cF0>;
<a name="l46"></a>  </span><span class=cF5>QueInit</span><span class=cF0>(&amp;ode-&gt;next_mass);
<a name="l47"></a>  </span><span class=cF5>QueInit</span><span class=cF0>(&amp;ode-&gt;next_spring);
<a name="l48"></a>  ode-&gt;state=</span><span class=cF5>CAlloc</span><span class=cF0>(s);
<a name="l49"></a>  ode-&gt;array_base=</span><span class=cF5>MAlloc</span><span class=cF0>(12*s);
<a name="l50"></a>  </span><span class=cF5>ODERstPtrs</span><span class=cF0>(ode);
<a name="l51"></a>  </span><span class=cF1>return</span><span class=cF0> ode;
<a name="l52"></a>}
<a name="l53"></a>
<a name="l54"></a>
<a name="l55"></a></span><span class=cF1>public</span><span class=cF0> </span><span class=cF1>Bool</span><span class=cF0> </span><span class=cF5>ODEPause</span><span class=cF0>(</span><span class=cF9>CMathODE</span><span class=cF0> *ode,</span><span class=cF1>Bool</span><span class=cF0> val=</span><span class=cF3>ON</span><span class=cF0>)
<a name="l56"></a>{</span><span class=cF2>//Pause ODE.</span><span class=cF0>
<a name="l57"></a>  </span><span class=cF1>Bool</span><span class=cF0> res;
<a name="l58"></a>  </span><span class=cF1>if</span><span class=cF0> (!ode) </span><span class=cF1>return</span><span class=cF0> </span><span class=cF3>OFF</span><span class=cF0>;
<a name="l59"></a>  res=</span><span class=cF5>LBEqu</span><span class=cF0>(&amp;ode-&gt;flags,</span><span class=cF3>ODEf_PAUSED</span><span class=cF0>,val);
<a name="l60"></a>  </span><span class=cF1>if</span><span class=cF0> (val)
<a name="l61"></a>    </span><span class=cF1>while</span><span class=cF0> (</span><span class=cF5>Bt</span><span class=cF7>(</span><span class=cF0>&amp;ode-&gt;flags,</span><span class=cF3>ODEf_BUSY</span><span class=cF7>)</span><span class=cF0>)
<a name="l62"></a>      </span><span class=cF5>Yield</span><span class=cF0>;
<a name="l63"></a>  </span><span class=cF1>return</span><span class=cF0> res;
<a name="l64"></a>}
<a name="l65"></a>
<a name="l66"></a></span><span class=cF1>public</span><span class=cF0> </span><span class=cF1>U0</span><span class=cF0> </span><span class=cF5>ODEDel</span><span class=cF0>(</span><span class=cF9>CMathODE</span><span class=cF0> *ode)
<a name="l67"></a>{</span><span class=cF2>//Free ODE node, but not masses or springs.</span><span class=cF0>
<a name="l68"></a>  </span><span class=cF9>I64</span><span class=cF0> i;
<a name="l69"></a>  </span><span class=cF1>if</span><span class=cF0> (!ode) </span><span class=cF1>return</span><span class=cF0>;
<a name="l70"></a>  </span><span class=cF5>ODEPause</span><span class=cF0>(ode);
<a name="l71"></a>  </span><span class=cF5>Free</span><span class=cF0>(ode-&gt;state);
<a name="l72"></a>  </span><span class=cF5>Free</span><span class=cF0>(ode-&gt;array_base);
<a name="l73"></a>  </span><span class=cF1>if</span><span class=cF0> (ode-&gt;slave_tasks) </span><span class=cF7>{</span><span class=cF0>
<a name="l74"></a>    </span><span class=cF1>for</span><span class=cF0> (i=0;i&lt;</span><span class=cFB>mp_cnt</span><span class=cF0>;i++)
<a name="l75"></a>      </span><span class=cF5>Kill</span><span class=cF0>(ode-&gt;slave_tasks[i]);
<a name="l76"></a>    </span><span class=cF5>Free</span><span class=cF0>(ode-&gt;slave_tasks);
<a name="l77"></a>  </span><span class=cF7>}</span><span class=cF0>
<a name="l78"></a>  </span><span class=cF5>Free</span><span class=cF0>(ode);
<a name="l79"></a>}
<a name="l80"></a>
<a name="l81"></a></span><span class=cF1>public</span><span class=cF0> </span><span class=cF9>I64</span><span class=cF0> </span><span class=cF5>ODESize</span><span class=cF0>(</span><span class=cF9>CMathODE</span><span class=cF0> *ode)
<a name="l82"></a>{</span><span class=cF2>//Mem size of ode ctrl, but not masses and springs.</span><span class=cF0>
<a name="l83"></a>  </span><span class=cF1>if</span><span class=cF0> (!ode)
<a name="l84"></a>    </span><span class=cF1>return</span><span class=cF0> 0;
<a name="l85"></a>  </span><span class=cF1>else</span><span class=cF0>
<a name="l86"></a>    </span><span class=cF1>return</span><span class=cF0> </span><span class=cF5>MSize2</span><span class=cF0>(ode-&gt;state)+</span><span class=cF5>MSize2</span><span class=cF0>(ode-&gt;array_base)+</span><span class=cF5>MSize2</span><span class=cF0>(ode);
<a name="l87"></a>}
<a name="l88"></a>
<a name="l89"></a></span><span class=cF1>U0</span><span class=cF0> </span><span class=cF5>ODESetMassesPtrs</span><span class=cF0>(</span><span class=cF9>CMathODE</span><span class=cF0> *ode,</span><span class=cF1>F64</span><span class=cF0> *state,</span><span class=cF1>F64</span><span class=cF0> *DstateDt)
<a name="l90"></a>{
<a name="l91"></a>  </span><span class=cF9>COrder2D3</span><span class=cF0> *ptr1=state(</span><span class=cF1>F64</span><span class=cF0> *)+ode-&gt;n,
<a name="l92"></a>        *ptr2=DstateDt(</span><span class=cF1>F64</span><span class=cF0> *)+ode-&gt;n;
<a name="l93"></a>  </span><span class=cF9>CMass</span><span class=cF0> *tmpm=ode-&gt;next_mass;
<a name="l94"></a>  </span><span class=cF1>while</span><span class=cF0> (tmpm!=&amp;ode-&gt;next_mass) </span><span class=cF7>{</span><span class=cF0>
<a name="l95"></a>    tmpm-&gt;state=ptr1++;
<a name="l96"></a>    tmpm-&gt;DstateDt=ptr2++;
<a name="l97"></a>    tmpm=tmpm-&gt;next;
<a name="l98"></a>  </span><span class=cF7>}</span><span class=cF0>
<a name="l99"></a>}
<a name="l100"></a>
<a name="l101"></a></span><span class=cF1>U0</span><span class=cF0> </span><span class=cF5>ODEState2Internal</span><span class=cF0>(</span><span class=cF9>CMathODE</span><span class=cF0> *ode)
<a name="l102"></a>{
<a name="l103"></a>  </span><span class=cF9>CMass</span><span class=cF0> *tmpm;
<a name="l104"></a>  </span><span class=cF1>F64</span><span class=cF0> *old_array_base;
<a name="l105"></a>  </span><span class=cF9>I64</span><span class=cF0> mass_cnt;
<a name="l106"></a>
<a name="l107"></a>  </span><span class=cF1>if</span><span class=cF0> (ode-&gt;flags&amp;</span><span class=cF3>ODEF_HAS_MASSES</span><span class=cF0>) </span><span class=cF7>{</span><span class=cF0>
<a name="l108"></a>    mass_cnt=0;
<a name="l109"></a>    tmpm=ode-&gt;next_mass;
<a name="l110"></a>    </span><span class=cF1>while</span><span class=cF0> (tmpm!=&amp;ode-&gt;next_mass) {
<a name="l111"></a>      mass_cnt++;
<a name="l112"></a>      tmpm=tmpm-&gt;next;
<a name="l113"></a>    }
<a name="l114"></a>    old_array_base=ode-&gt;array_base;
<a name="l115"></a>    ode-&gt;n_internal=ode-&gt;n+6*mass_cnt;
<a name="l116"></a>    ode-&gt;array_base=</span><span class=cF5>MAlloc</span><span class=cF0>(12*ode-&gt;n_internal*</span><span class=cF1>sizeof</span><span class=cF7>(</span><span class=cF1>F64</span><span class=cF7>)</span><span class=cF0>,ode-&gt;mem_task);
<a name="l117"></a>    </span><span class=cF5>Free</span><span class=cF0>(old_array_base);
<a name="l118"></a>    </span><span class=cF5>ODERstPtrs</span><span class=cF0>(ode);
<a name="l119"></a>
<a name="l120"></a>    </span><span class=cF5>ODESetMassesPtrs</span><span class=cF0>(ode,ode-&gt;state_internal,ode-&gt;state_internal);
<a name="l121"></a>    tmpm=ode-&gt;next_mass;
<a name="l122"></a>    </span><span class=cF1>while</span><span class=cF0> (tmpm!=&amp;ode-&gt;next_mass) {
<a name="l123"></a>      </span><span class=cF5>MemCpy</span><span class=cF0>(tmpm-&gt;state,&amp;tmpm-&gt;saved_state,</span><span class=cF1>sizeof</span><span class=cF7>(</span><span class=cF9>COrder2D3</span><span class=cF7>)</span><span class=cF0>);
<a name="l124"></a>      tmpm=tmpm-&gt;next;
<a name="l125"></a>    }
<a name="l126"></a>  </span><span class=cF7>}</span><span class=cF0>
<a name="l127"></a>  </span><span class=cF5>MemCpy</span><span class=cF0>(ode-&gt;state_internal,ode-&gt;state,ode-&gt;n*</span><span class=cF1>sizeof</span><span class=cF7>(</span><span class=cF1>F64</span><span class=cF7>)</span><span class=cF0>);
<a name="l128"></a>}
<a name="l129"></a>
<a name="l130"></a></span><span class=cF1>U0</span><span class=cF0> </span><span class=cF5>ODEInternal2State</span><span class=cF0>(</span><span class=cF9>CMathODE</span><span class=cF0> *ode)
<a name="l131"></a>{
<a name="l132"></a>  </span><span class=cF9>CMass</span><span class=cF0> *tmpm;
<a name="l133"></a>  </span><span class=cF5>MemCpy</span><span class=cF0>(ode-&gt;state,ode-&gt;state_internal,ode-&gt;n*</span><span class=cF1>sizeof</span><span class=cF7>(</span><span class=cF1>F64</span><span class=cF7>)</span><span class=cF0>);
<a name="l134"></a>  </span><span class=cF1>if</span><span class=cF0> (ode-&gt;flags&amp;</span><span class=cF3>ODEF_HAS_MASSES</span><span class=cF0>) </span><span class=cF7>{</span><span class=cF0>
<a name="l135"></a>    </span><span class=cF5>ODESetMassesPtrs</span><span class=cF0>(ode,ode-&gt;state_internal,ode-&gt;state_internal);
<a name="l136"></a>    tmpm=ode-&gt;next_mass;
<a name="l137"></a>    </span><span class=cF1>while</span><span class=cF0> (tmpm!=&amp;ode-&gt;next_mass) {
<a name="l138"></a>      </span><span class=cF5>MemCpy</span><span class=cF0>(&amp;tmpm-&gt;saved_state,tmpm-&gt;state,</span><span class=cF1>sizeof</span><span class=cF7>(</span><span class=cF9>COrder2D3</span><span class=cF7>)</span><span class=cF0>);
<a name="l139"></a>      tmpm=tmpm-&gt;next;
<a name="l140"></a>    }
<a name="l141"></a>  </span><span class=cF7>}</span><span class=cF0>
<a name="l142"></a>}
<a name="l143"></a>
<a name="l144"></a></span><span class=cF1>public</span><span class=cF0> </span><span class=cF1>U0</span><span class=cF0> </span><span class=cF5>ODERenum</span><span class=cF0>(</span><span class=cF9>CMathODE</span><span class=cF0> *ode)
<a name="l145"></a>{</span><span class=cF2>//Renumber masses and springs.</span><span class=cF0>
<a name="l146"></a>  </span><span class=cF9>I64</span><span class=cF0> i;
<a name="l147"></a>  </span><span class=cF9>CSpring</span><span class=cF0> *tmps;
<a name="l148"></a>  </span><span class=cF9>CMass</span><span class=cF0> *tmpm;
<a name="l149"></a>
<a name="l150"></a>  i=0;
<a name="l151"></a>  tmpm=ode-&gt;next_mass;
<a name="l152"></a>  </span><span class=cF1>while</span><span class=cF0> (tmpm!=&amp;ode-&gt;next_mass) </span><span class=cF7>{</span><span class=cF0>
<a name="l153"></a>    tmpm-&gt;num=i++;
<a name="l154"></a>    tmpm=tmpm-&gt;next;
<a name="l155"></a>  </span><span class=cF7>}</span><span class=cF0>
<a name="l156"></a>
<a name="l157"></a>  i=0;
<a name="l158"></a>  tmps=ode-&gt;next_spring;
<a name="l159"></a>  </span><span class=cF1>while</span><span class=cF0> (tmps!=&amp;ode-&gt;next_spring) </span><span class=cF7>{</span><span class=cF0>
<a name="l160"></a>    tmps-&gt;num=i++;
<a name="l161"></a>    tmps-&gt;end1_num=tmps-&gt;end1-&gt;num;
<a name="l162"></a>    tmps-&gt;end2_num=tmps-&gt;end2-&gt;num;
<a name="l163"></a>    tmps=tmps-&gt;next;
<a name="l164"></a>  </span><span class=cF7>}</span><span class=cF0>
<a name="l165"></a>}
<a name="l166"></a>
<a name="l167"></a></span><span class=cF1>public</span><span class=cF0> </span><span class=cF9>CMass</span><span class=cF0> *</span><span class=cF5>MassFind</span><span class=cF0>(</span><span class=cF9>CMathODE</span><span class=cF0> *ode,</span><span class=cF1>F64</span><span class=cF0> x,</span><span class=cF1>F64</span><span class=cF0> y,</span><span class=cF1>F64</span><span class=cF0> z=0)
<a name="l168"></a>{</span><span class=cF2>//Search for mass nearest to x,y,z.</span><span class=cF0>
<a name="l169"></a>  </span><span class=cF9>CMass</span><span class=cF0> *tmpm,*best_mass=</span><span class=cF3>NULL</span><span class=cF0>;
<a name="l170"></a>  </span><span class=cF1>F64</span><span class=cF0> dd,best_dd=</span><span class=cF3>F64_MAX</span><span class=cF0>;
<a name="l171"></a>
<a name="l172"></a>  tmpm=ode-&gt;next_mass;
<a name="l173"></a>  </span><span class=cF1>while</span><span class=cF0> (tmpm!=&amp;ode-&gt;next_mass) </span><span class=cF7>{</span><span class=cF0>
<a name="l174"></a>    dd=</span><span class=cF5>Sqr</span><span class=cF0>(tmpm-&gt;x-x)+</span><span class=cF5>Sqr</span><span class=cF0>(tmpm-&gt;y-y)+</span><span class=cF5>Sqr</span><span class=cF0>(tmpm-&gt;z-z);
<a name="l175"></a>    </span><span class=cF1>if</span><span class=cF0> (dd&lt;best_dd) {
<a name="l176"></a>      best_dd=dd;
<a name="l177"></a>      best_mass=tmpm;
<a name="l178"></a>    }
<a name="l179"></a>    tmpm=tmpm-&gt;next;
<a name="l180"></a>  </span><span class=cF7>}</span><span class=cF0>
<a name="l181"></a>  </span><span class=cF1>return</span><span class=cF0> best_mass;
<a name="l182"></a>}
<a name="l183"></a>
<a name="l184"></a></span><span class=cF1>public</span><span class=cF0> </span><span class=cF9>CSpring</span><span class=cF0> *</span><span class=cF5>SpringFind</span><span class=cF0>(</span><span class=cF9>CMathODE</span><span class=cF0> *ode,</span><span class=cF1>F64</span><span class=cF0> x,</span><span class=cF1>F64</span><span class=cF0> y,</span><span class=cF1>F64</span><span class=cF0> z=0)
<a name="l185"></a>{</span><span class=cF2>//Find spring midpoint nearest x,y,z.</span><span class=cF0>
<a name="l186"></a>  </span><span class=cF9>CSpring</span><span class=cF0> *tmps,*best_spring=</span><span class=cF3>NULL</span><span class=cF0>;
<a name="l187"></a>  </span><span class=cF1>F64</span><span class=cF0> dd,best_dd=</span><span class=cF3>F64_MAX</span><span class=cF0>;
<a name="l188"></a>
<a name="l189"></a>  tmps=ode-&gt;next_spring;
<a name="l190"></a>  </span><span class=cF1>while</span><span class=cF0> (tmps!=&amp;ode-&gt;next_spring) </span><span class=cF7>{</span><span class=cF0>
<a name="l191"></a>    dd=</span><span class=cF5>Sqr</span><span class=cF0>(</span><span class=cF7>(</span><span class=cF0>tmps-&gt;end1-&gt;x+tmps-&gt;end2-&gt;x</span><span class=cF7>)</span><span class=cF0>/2-x)+
<a name="l192"></a>          </span><span class=cF5>Sqr</span><span class=cF0>(</span><span class=cF7>(</span><span class=cF0>tmps-&gt;end1-&gt;y+tmps-&gt;end2-&gt;y</span><span class=cF7>)</span><span class=cF0>/2-y)+
<a name="l193"></a>          </span><span class=cF5>Sqr</span><span class=cF0>(</span><span class=cF7>(</span><span class=cF0>tmps-&gt;end1-&gt;z+tmps-&gt;end2-&gt;z</span><span class=cF7>)</span><span class=cF0>/2-z);
<a name="l194"></a>    </span><span class=cF1>if</span><span class=cF0> (dd&lt;best_dd) {
<a name="l195"></a>      best_dd=dd;
<a name="l196"></a>      best_spring=tmps;
<a name="l197"></a>    }
<a name="l198"></a>    tmps=tmps-&gt;next;
<a name="l199"></a>  </span><span class=cF7>}</span><span class=cF0>
<a name="l200"></a>  </span><span class=cF1>return</span><span class=cF0> best_spring;
<a name="l201"></a>}
<a name="l202"></a>
<a name="l203"></a></span><span class=cF1>public</span><span class=cF0> </span><span class=cF1>U0</span><span class=cF0> </span><span class=cF5>MassOrSpringFind</span><span class=cF0>(
<a name="l204"></a>        </span><span class=cF9>CMathODE</span><span class=cF0> *ode,</span><span class=cF9>CMass</span><span class=cF0> **res_mass,</span><span class=cF9>CSpring</span><span class=cF0> **res_spring,
<a name="l205"></a>        </span><span class=cF1>F64</span><span class=cF0> x,</span><span class=cF1>F64</span><span class=cF0> y,</span><span class=cF1>F64</span><span class=cF0> z=0)
<a name="l206"></a>{</span><span class=cF2>//Find spring or mass nearest x,y,z.</span><span class=cF0>
<a name="l207"></a>  </span><span class=cF9>CMass</span><span class=cF0>   *tmpm,*best_mass=</span><span class=cF3>NULL</span><span class=cF0>;
<a name="l208"></a>  </span><span class=cF9>CSpring</span><span class=cF0> *tmps,*best_spring=</span><span class=cF3>NULL</span><span class=cF0>;
<a name="l209"></a>  </span><span class=cF1>F64</span><span class=cF0> dd,best_dd=</span><span class=cF3>F64_MAX</span><span class=cF0>;
<a name="l210"></a>
<a name="l211"></a>  tmpm=ode-&gt;next_mass;
<a name="l212"></a>  </span><span class=cF1>while</span><span class=cF0> (tmpm!=&amp;ode-&gt;next_mass) </span><span class=cF7>{</span><span class=cF0>
<a name="l213"></a>    dd=</span><span class=cF5>Sqr</span><span class=cF0>(tmpm-&gt;x-x)+</span><span class=cF5>Sqr</span><span class=cF0>(tmpm-&gt;y-y)+</span><span class=cF5>Sqr</span><span class=cF0>(tmpm-&gt;z-z);
<a name="l214"></a>    </span><span class=cF1>if</span><span class=cF0> (dd&lt;best_dd) {
<a name="l215"></a>      best_dd=dd;
<a name="l216"></a>      best_mass=tmpm;
<a name="l217"></a>    }
<a name="l218"></a>    tmpm=tmpm-&gt;next;
<a name="l219"></a>  </span><span class=cF7>}</span><span class=cF0>
<a name="l220"></a>
<a name="l221"></a>  tmps=ode-&gt;next_spring;
<a name="l222"></a>  </span><span class=cF1>while</span><span class=cF0> (tmps!=&amp;ode-&gt;next_spring) </span><span class=cF7>{</span><span class=cF0>
<a name="l223"></a>    dd=</span><span class=cF5>Sqr</span><span class=cF0>(</span><span class=cF7>(</span><span class=cF0>tmps-&gt;end1-&gt;x+tmps-&gt;end2-&gt;x</span><span class=cF7>)</span><span class=cF0>/2-x)+
<a name="l224"></a>          </span><span class=cF5>Sqr</span><span class=cF0>(</span><span class=cF7>(</span><span class=cF0>tmps-&gt;end1-&gt;y+tmps-&gt;end2-&gt;y</span><span class=cF7>)</span><span class=cF0>/2-y)+
<a name="l225"></a>          </span><span class=cF5>Sqr</span><span class=cF0>(</span><span class=cF7>(</span><span class=cF0>tmps-&gt;end1-&gt;z+tmps-&gt;end2-&gt;z</span><span class=cF7>)</span><span class=cF0>/2-z);
<a name="l226"></a>    </span><span class=cF1>if</span><span class=cF0> (dd&lt;best_dd) {
<a name="l227"></a>      best_dd=dd;
<a name="l228"></a>      best_spring=tmps;
<a name="l229"></a>      best_mass=</span><span class=cF3>NULL</span><span class=cF0>;
<a name="l230"></a>    }
<a name="l231"></a>    tmps=tmps-&gt;next;
<a name="l232"></a>  </span><span class=cF7>}</span><span class=cF0>
<a name="l233"></a>  </span><span class=cF1>if</span><span class=cF0> (res_mass)   *res_mass  =best_mass;
<a name="l234"></a>  </span><span class=cF1>if</span><span class=cF0> (res_spring) *res_spring=best_spring;
<a name="l235"></a>}
<a name="l236"></a>
<a name="l237"></a></span><span class=cF1>public</span><span class=cF0> </span><span class=cF9>CMass</span><span class=cF0> *</span><span class=cF5>MassFindNum</span><span class=cF0>(</span><span class=cF9>CMathODE</span><span class=cF0> *ode,</span><span class=cF9>I64</span><span class=cF0> num)
<a name="l238"></a>{</span><span class=cF2>//Return mass number N.</span><span class=cF0>
<a name="l239"></a>  </span><span class=cF9>CMass</span><span class=cF0> *tmpm=ode-&gt;next_mass;
<a name="l240"></a>  </span><span class=cF1>while</span><span class=cF0> (tmpm!=&amp;ode-&gt;next_mass) </span><span class=cF7>{</span><span class=cF0>
<a name="l241"></a>    </span><span class=cF1>if</span><span class=cF0> (tmpm-&gt;num==num)
<a name="l242"></a>      </span><span class=cF1>return</span><span class=cF0> tmpm;
<a name="l243"></a>    tmpm=tmpm-&gt;next;
<a name="l244"></a>  </span><span class=cF7>}</span><span class=cF0>
<a name="l245"></a>  </span><span class=cF1>return</span><span class=cF0> </span><span class=cF3>NULL</span><span class=cF0>;
<a name="l246"></a>}
<a name="l247"></a>
<a name="l248"></a></span><span class=cF1>public</span><span class=cF0> </span><span class=cF1>U0</span><span class=cF0> </span><span class=cF5>ODERstInactive</span><span class=cF0>(</span><span class=cF9>CMathODE</span><span class=cF0> *ode)
<a name="l249"></a>{</span><span class=cF2>//Set all masses and springs to ACTIVE for new trial.</span><span class=cF0>
<a name="l250"></a>  </span><span class=cF9>CMass</span><span class=cF0> *tmpm;
<a name="l251"></a>  </span><span class=cF9>CSpring</span><span class=cF0> *tmps;
<a name="l252"></a>  tmpm=ode-&gt;next_mass;
<a name="l253"></a>  </span><span class=cF1>while</span><span class=cF0> (tmpm!=&amp;ode-&gt;next_mass) </span><span class=cF7>{</span><span class=cF0>
<a name="l254"></a>    tmpm-&gt;flags&amp;=~</span><span class=cF3>MSF_INACTIVE</span><span class=cF0>;
<a name="l255"></a>    tmpm=tmpm-&gt;next;
<a name="l256"></a>  </span><span class=cF7>}</span><span class=cF0>
<a name="l257"></a>  tmps=ode-&gt;next_spring;
<a name="l258"></a>  </span><span class=cF1>while</span><span class=cF0> (tmps!=&amp;ode-&gt;next_spring) </span><span class=cF7>{</span><span class=cF0>
<a name="l259"></a>    tmps-&gt;flags&amp;=~</span><span class=cF3>SSF_INACTIVE</span><span class=cF0>;
<a name="l260"></a>    tmps=tmps-&gt;next;
<a name="l261"></a>  </span><span class=cF7>}</span><span class=cF0>
<a name="l262"></a>}
<a name="l263"></a>
<a name="l264"></a></span><span class=cF1>U0</span><span class=cF0> </span><span class=cF5>ODECalcSprings</span><span class=cF0>(</span><span class=cF9>CMathODE</span><span class=cF0> *ode)
<a name="l265"></a>{
<a name="l266"></a>  </span><span class=cF9>CSpring</span><span class=cF0> *tmps=ode-&gt;next_spring;
<a name="l267"></a>  </span><span class=cF9>CMass</span><span class=cF0> *e1,*e2;
<a name="l268"></a>  </span><span class=cF1>F64</span><span class=cF0> d;
<a name="l269"></a>  </span><span class=cF9>CD3</span><span class=cF0> p;
<a name="l270"></a>  </span><span class=cF1>while</span><span class=cF0> (tmps!=&amp;ode-&gt;next_spring) </span><span class=cF7>{</span><span class=cF0>
<a name="l271"></a>    </span><span class=cF1>if</span><span class=cF0> (tmps-&gt;flags&amp;</span><span class=cF3>SSF_INACTIVE</span><span class=cF0>) {
<a name="l272"></a>      tmps-&gt;displacement=0;
<a name="l273"></a>      tmps-&gt;f=0;
<a name="l274"></a>    } </span><span class=cF1>else</span><span class=cF0> {
<a name="l275"></a>      e1=tmps-&gt;end1;
<a name="l276"></a>      e2=tmps-&gt;end2;
<a name="l277"></a>      d=</span><span class=cF5>D3Norm</span><span class=cF0>(</span><span class=cF5>D3Sub</span><span class=cF7>(</span><span class=cF0>&amp;p,&amp;e2-&gt;state-&gt;x,&amp;e1-&gt;state-&gt;x</span><span class=cF7>)</span><span class=cF0>);
<a name="l278"></a>      tmps-&gt;displacement=d-tmps-&gt;rest_len;
<a name="l279"></a>      tmps-&gt;f=tmps-&gt;displacement*tmps-&gt;const;
<a name="l280"></a>      </span><span class=cF1>if</span><span class=cF0> (tmps-&gt;f&gt;0 &amp;&amp; tmps-&gt;flags&amp;</span><span class=cF3>SSF_NO_TENSION</span><span class=cF0>)
<a name="l281"></a>        tmps-&gt;f=0;
<a name="l282"></a>      </span><span class=cF1>else</span><span class=cF0> </span><span class=cF1>if</span><span class=cF0> (tmps-&gt;f&lt;0 &amp;&amp; tmps-&gt;flags&amp;</span><span class=cF3>SSF_NO_COMPRESSION</span><span class=cF0>)
<a name="l283"></a>        tmps-&gt;f=0;
<a name="l284"></a>      </span><span class=cF1>if</span><span class=cF0> (d&gt;0) </span><span class=cF7>{</span><span class=cF0>
<a name="l285"></a>        </span><span class=cF5>D3MulEqu</span><span class=cF0>(&amp;p,tmps-&gt;f/d);
<a name="l286"></a>        </span><span class=cF5>D3AddEqu</span><span class=cF0>(&amp;e1-&gt;DstateDt-&gt;DxDt,&amp;p);
<a name="l287"></a>        </span><span class=cF5>D3SubEqu</span><span class=cF0>(&amp;e2-&gt;DstateDt-&gt;DxDt,&amp;p);
<a name="l288"></a>      </span><span class=cF7>}</span><span class=cF0>
<a name="l289"></a>    }
<a name="l290"></a>    tmps=tmps-&gt;next;
<a name="l291"></a>  </span><span class=cF7>}</span><span class=cF0>
<a name="l292"></a>}
<a name="l293"></a>
<a name="l294"></a></span><span class=cF1>U0</span><span class=cF0> </span><span class=cF5>ODECalcDrag</span><span class=cF0>(</span><span class=cF9>CMathODE</span><span class=cF0> *ode)
<a name="l295"></a>{
<a name="l296"></a>  </span><span class=cF9>CMass</span><span class=cF0> *tmpm;
<a name="l297"></a>  </span><span class=cF1>F64</span><span class=cF0> d,dd;
<a name="l298"></a>  </span><span class=cF9>CD3</span><span class=cF0> p;
<a name="l299"></a>  </span><span class=cF1>if</span><span class=cF0> (ode-&gt;drag_v || ode-&gt;drag_v2 || ode-&gt;drag_v3) </span><span class=cF7>{</span><span class=cF0>
<a name="l300"></a>    tmpm=ode-&gt;next_mass;
<a name="l301"></a>    </span><span class=cF1>while</span><span class=cF0> (tmpm!=&amp;ode-&gt;next_mass) {
<a name="l302"></a>      </span><span class=cF1>if</span><span class=cF0> (!</span><span class=cF7>(</span><span class=cF0>tmpm-&gt;flags &amp; </span><span class=cF3>MSF_INACTIVE</span><span class=cF7>)</span><span class=cF0> &amp;&amp;
<a name="l303"></a>            tmpm-&gt;drag_profile_factor &amp;&amp;
<a name="l304"></a>            </span><span class=cF7>(</span><span class=cF0>dd=</span><span class=cF5>D3NormSqr</span><span class=cF0>(&amp;tmpm-&gt;state-&gt;DxDt)</span><span class=cF7>)</span><span class=cF0>) </span><span class=cF7>{</span><span class=cF0>
<a name="l305"></a>        d=ode-&gt;drag_v;
<a name="l306"></a>        </span><span class=cF1>if</span><span class=cF0> (ode-&gt;drag_v2)
<a name="l307"></a>          d+=ode-&gt;drag_v2*</span><span class=cF5>Sqrt</span><span class=cF0>(dd);
<a name="l308"></a>        </span><span class=cF1>if</span><span class=cF0> (ode-&gt;drag_v3)
<a name="l309"></a>          d+=dd*ode-&gt;drag_v3;
<a name="l310"></a>        </span><span class=cF5>D3SubEqu</span><span class=cF0>(&amp;tmpm-&gt;DstateDt-&gt;DxDt,
<a name="l311"></a>              </span><span class=cF5>D3Mul</span><span class=cF7>(</span><span class=cF0>&amp;p,d*tmpm-&gt;drag_profile_factor,&amp;tmpm-&gt;state-&gt;DxDt</span><span class=cF7>)</span><span class=cF0>);
<a name="l312"></a>      </span><span class=cF7>}</span><span class=cF0>
<a name="l313"></a>      tmpm=tmpm-&gt;next;
<a name="l314"></a>    }
<a name="l315"></a>  </span><span class=cF7>}</span><span class=cF0>
<a name="l316"></a>}
<a name="l317"></a>
<a name="l318"></a></span><span class=cF1>U0</span><span class=cF0> </span><span class=cF5>ODEApplyAccelerationLimit</span><span class=cF0>(</span><span class=cF9>CMathODE</span><span class=cF0> *ode)
<a name="l319"></a>{
<a name="l320"></a>  </span><span class=cF9>CMass</span><span class=cF0> *tmpm;
<a name="l321"></a>  </span><span class=cF1>F64</span><span class=cF0> d;
<a name="l322"></a>  </span><span class=cF1>if</span><span class=cF0> (ode-&gt;acceleration_limit) </span><span class=cF7>{</span><span class=cF0>
<a name="l323"></a>    tmpm=ode-&gt;next_mass;
<a name="l324"></a>    </span><span class=cF1>while</span><span class=cF0> (tmpm!=&amp;ode-&gt;next_mass) {
<a name="l325"></a>      </span><span class=cF1>if</span><span class=cF0> (!</span><span class=cF7>(</span><span class=cF0>tmpm-&gt;flags &amp; </span><span class=cF3>MSF_INACTIVE</span><span class=cF7>)</span><span class=cF0> &amp;&amp;
<a name="l326"></a>            </span><span class=cF7>(</span><span class=cF0>d=</span><span class=cF5>D3Norm</span><span class=cF0>(&amp;tmpm-&gt;DstateDt-&gt;DxDt)</span><span class=cF7>)</span><span class=cF0>&gt;ode-&gt;acceleration_limit)
<a name="l327"></a>        </span><span class=cF5>D3MulEqu</span><span class=cF0>(&amp;tmpm-&gt;DstateDt-&gt;DxDt,ode-&gt;acceleration_limit/d);
<a name="l328"></a>      tmpm=tmpm-&gt;next;
<a name="l329"></a>    }
<a name="l330"></a>  </span><span class=cF7>}</span><span class=cF0>
<a name="l331"></a>}
<a name="l332"></a>
<a name="l333"></a></span><span class=cF1>U0</span><span class=cF0> </span><span class=cF5>ODEMPTask</span><span class=cF0>(</span><span class=cF9>CMathODE</span><span class=cF0> *ode)
<a name="l334"></a>{
<a name="l335"></a>  </span><span class=cF1>while</span><span class=cF0> (</span><span class=cF3>TRUE</span><span class=cF0>) </span><span class=cF7>{</span><span class=cF0>
<a name="l336"></a>    </span><span class=cF1>while</span><span class=cF0> (!</span><span class=cF5>Bt</span><span class=cF7>(</span><span class=cF0>&amp;ode-&gt;mp_not_done_flags,</span><span class=cF5>Gs</span><span class=cF0>-&gt;num</span><span class=cF7>)</span><span class=cF0>)
<a name="l337"></a>      </span><span class=cF5>Yield</span><span class=cF0>;
<a name="l338"></a>    </span><span class=cF1>if</span><span class=cF0> (ode-&gt;mp_derive)
<a name="l339"></a>      (*ode-&gt;mp_derive)(ode,ode-&gt;mp_t,
<a name="l340"></a>            </span><span class=cF5>Gs</span><span class=cF0>-&gt;num,ode-&gt;mp_state,ode-&gt;mp_DstateDt);
<a name="l341"></a>    </span><span class=cF5>LBtr</span><span class=cF0>(&amp;ode-&gt;mp_not_done_flags,</span><span class=cF5>Gs</span><span class=cF0>-&gt;num);
<a name="l342"></a>  </span><span class=cF7>}</span><span class=cF0>
<a name="l343"></a>}
<a name="l344"></a>
<a name="l345"></a></span><span class=cF1>U0</span><span class=cF0> </span><span class=cF5>ODEMPWake</span><span class=cF0>(</span><span class=cF9>CMathODE</span><span class=cF0> *ode)
<a name="l346"></a>{
<a name="l347"></a>  </span><span class=cF9>I64</span><span class=cF0> i;
<a name="l348"></a>  </span><span class=cF1>if</span><span class=cF0> (!ode-&gt;slave_tasks) </span><span class=cF7>{</span><span class=cF0>
<a name="l349"></a>    ode-&gt;slave_tasks=</span><span class=cF5>CAlloc</span><span class=cF0>(</span><span class=cFB>mp_cnt</span><span class=cF0>*</span><span class=cF1>sizeof</span><span class=cF7>(</span><span class=cF9>CTask</span><span class=cF0> *</span><span class=cF7>)</span><span class=cF0>);
<a name="l350"></a>    </span><span class=cF1>for</span><span class=cF0> (i=0;i&lt;</span><span class=cFB>mp_cnt</span><span class=cF0>;i++)
<a name="l351"></a>      ode-&gt;slave_tasks[i]=</span><span class=cF5>Spawn</span><span class=cF0>(&amp;</span><span class=cF5>ODEMPTask</span><span class=cF0>,ode,</span><span class=cF6>&quot;ODE Slave&quot;</span><span class=cF0>,i);
<a name="l352"></a>  </span><span class=cF7>}</span><span class=cF0>
<a name="l353"></a>  </span><span class=cF1>for</span><span class=cF0> (i=0;i&lt;</span><span class=cFB>mp_cnt</span><span class=cF0>;i++) </span><span class=cF7>{</span><span class=cF0>
<a name="l354"></a>    </span><span class=cF5>Suspend</span><span class=cF0>(ode-&gt;slave_tasks[i],</span><span class=cF3>FALSE</span><span class=cF0>);
<a name="l355"></a>    </span><span class=cF5>MPInt</span><span class=cF0>(</span><span class=cF3>I_WAKE</span><span class=cF0>,i);
<a name="l356"></a>  </span><span class=cF7>}</span><span class=cF0>
<a name="l357"></a>}
<a name="l358"></a>
<a name="l359"></a></span><span class=cF1>U0</span><span class=cF0> </span><span class=cF5>ODEMPSleep</span><span class=cF0>(</span><span class=cF9>CMathODE</span><span class=cF0> *ode)
<a name="l360"></a>{
<a name="l361"></a>  </span><span class=cF9>I64</span><span class=cF0> i;
<a name="l362"></a>  </span><span class=cF1>if</span><span class=cF0> (ode-&gt;slave_tasks) </span><span class=cF7>{</span><span class=cF0>
<a name="l363"></a>    </span><span class=cF1>while</span><span class=cF0> (ode-&gt;mp_not_done_flags)
<a name="l364"></a>      </span><span class=cF5>Yield</span><span class=cF0>;
<a name="l365"></a>    </span><span class=cF1>for</span><span class=cF0> (i=0;i&lt;</span><span class=cFB>mp_cnt</span><span class=cF0>;i++)
<a name="l366"></a>      </span><span class=cF5>Suspend</span><span class=cF0>(ode-&gt;slave_tasks[i]);
<a name="l367"></a>  </span><span class=cF7>}</span><span class=cF0>
<a name="l368"></a>}
<a name="l369"></a>
<a name="l370"></a></span><span class=cF1>U0</span><span class=cF0> </span><span class=cF5>ODECallMPDerivative</span><span class=cF0>(</span><span class=cF9>CMathODE</span><span class=cF0> *ode,</span><span class=cF1>F64</span><span class=cF0> t,</span><span class=cF1>F64</span><span class=cF0> *state,</span><span class=cF1>F64</span><span class=cF0> *DstateDt)
<a name="l371"></a>{
<a name="l372"></a>  ode-&gt;mp_t=t;
<a name="l373"></a>  ode-&gt;mp_state=state;
<a name="l374"></a>  ode-&gt;mp_DstateDt=DstateDt;
<a name="l375"></a>  ode-&gt;mp_not_done_flags=1&lt;&lt;</span><span class=cFB>mp_cnt</span><span class=cF0>-1;
<a name="l376"></a>  </span><span class=cF1>do</span><span class=cF0> </span><span class=cF5>Yield</span><span class=cF0>;
<a name="l377"></a>  </span><span class=cF1>while</span><span class=cF0> (ode-&gt;mp_not_done_flags);
<a name="l378"></a>}
<a name="l379"></a>
<a name="l380"></a></span><span class=cF1>U0</span><span class=cF0> </span><span class=cF5>ODECallDerivative</span><span class=cF0>(</span><span class=cF9>CMathODE</span><span class=cF0> *ode,</span><span class=cF1>F64</span><span class=cF0> t,</span><span class=cF1>F64</span><span class=cF0> *state,</span><span class=cF1>F64</span><span class=cF0> *DstateDt)
<a name="l381"></a>{
<a name="l382"></a>  </span><span class=cF9>CMass</span><span class=cF0> *tmpm;
<a name="l383"></a>  </span><span class=cF1>if</span><span class=cF0> (ode-&gt;flags&amp;</span><span class=cF3>ODEF_HAS_MASSES</span><span class=cF0>) </span><span class=cF7>{</span><span class=cF0>
<a name="l384"></a>    </span><span class=cF5>ODESetMassesPtrs</span><span class=cF0>(ode,state,DstateDt);
<a name="l385"></a>    tmpm=ode-&gt;next_mass;
<a name="l386"></a>    </span><span class=cF1>while</span><span class=cF0> (tmpm!=&amp;ode-&gt;next_mass) {
<a name="l387"></a>      </span><span class=cF1>if</span><span class=cF0> (!</span><span class=cF7>(</span><span class=cF0>tmpm-&gt;flags&amp;</span><span class=cF3>MSF_INACTIVE</span><span class=cF7>)</span><span class=cF0>) </span><span class=cF7>{</span><span class=cF0>
<a name="l388"></a>        </span><span class=cF5>D3Zero</span><span class=cF0>(&amp;tmpm-&gt;DstateDt-&gt;DxDt);
<a name="l389"></a>        </span><span class=cF5>D3Copy</span><span class=cF0>(&amp;tmpm-&gt;DstateDt-&gt;x,&amp;tmpm-&gt;state-&gt;DxDt);
<a name="l390"></a>      </span><span class=cF7>}</span><span class=cF0>
<a name="l391"></a>      tmpm=tmpm-&gt;next;
<a name="l392"></a>    }
<a name="l393"></a>    </span><span class=cF5>ODECalcSprings</span><span class=cF0>(ode);
<a name="l394"></a>    </span><span class=cF5>ODECalcDrag</span><span class=cF0>(ode);
<a name="l395"></a>    </span><span class=cF1>if</span><span class=cF0> (ode-&gt;mp_derive)
<a name="l396"></a>      </span><span class=cF5>ODECallMPDerivative</span><span class=cF0>(ode,t,state,DstateDt);
<a name="l397"></a>    </span><span class=cF1>if</span><span class=cF0> (ode-&gt;derive)
<a name="l398"></a>      (*ode-&gt;derive)(ode,t,state,DstateDt);
<a name="l399"></a>    tmpm=ode-&gt;next_mass;
<a name="l400"></a>    </span><span class=cF1>while</span><span class=cF0> (tmpm!=&amp;ode-&gt;next_mass) {
<a name="l401"></a>      </span><span class=cF1>if</span><span class=cF0> (!</span><span class=cF7>(</span><span class=cF0>tmpm-&gt;flags&amp;</span><span class=cF3>MSF_INACTIVE</span><span class=cF7>)</span><span class=cF0>) </span><span class=cF7>{</span><span class=cF0>
<a name="l402"></a>        </span><span class=cF1>if</span><span class=cF0> (tmpm-&gt;flags&amp;</span><span class=cF3>MSF_FIXED</span><span class=cF0>) {
<a name="l403"></a>          </span><span class=cF5>D3Zero</span><span class=cF0>(&amp;tmpm-&gt;DstateDt-&gt;DxDt);
<a name="l404"></a>          </span><span class=cF5>D3Zero</span><span class=cF0>(&amp;tmpm-&gt;DstateDt-&gt;x);
<a name="l405"></a>        } </span><span class=cF1>else</span><span class=cF0> </span><span class=cF1>if</span><span class=cF0> (tmpm-&gt;mass)
<a name="l406"></a>          </span><span class=cF5>D3DivEqu</span><span class=cF0>(&amp;tmpm-&gt;DstateDt-&gt;DxDt,tmpm-&gt;mass);
<a name="l407"></a>      </span><span class=cF7>}</span><span class=cF0>
<a name="l408"></a>      tmpm=tmpm-&gt;next;
<a name="l409"></a>    }
<a name="l410"></a>    </span><span class=cF5>ODEApplyAccelerationLimit</span><span class=cF0>(ode);
<a name="l411"></a>  </span><span class=cF7>}</span><span class=cF0> </span><span class=cF1>else</span><span class=cF0> </span><span class=cF7>{</span><span class=cF0>
<a name="l412"></a>    </span><span class=cF1>if</span><span class=cF0> (ode-&gt;mp_derive)
<a name="l413"></a>      </span><span class=cF5>ODECallMPDerivative</span><span class=cF0>(ode,t,state,DstateDt);
<a name="l414"></a>    </span><span class=cF1>if</span><span class=cF0> (ode-&gt;derive)
<a name="l415"></a>      (*ode-&gt;derive)(ode,t,state,DstateDt);
<a name="l416"></a>  </span><span class=cF7>}</span><span class=cF0>
<a name="l417"></a>}
<a name="l418"></a>
<a name="l419"></a></span><span class=cF1>U0</span><span class=cF0> </span><span class=cF5>ODEOneStep</span><span class=cF0>(</span><span class=cF9>CMathODE</span><span class=cF0> *ode)
<a name="l420"></a>{
<a name="l421"></a>  </span><span class=cF9>I64</span><span class=cF0> i;
<a name="l422"></a>  </span><span class=cF5>ODECallDerivative</span><span class=cF0>(ode,ode-&gt;t,ode-&gt;state_internal,ode-&gt;DstateDt);
<a name="l423"></a>  </span><span class=cF1>for</span><span class=cF0> (i=0;i&lt;ode-&gt;n_internal;i++)
<a name="l424"></a>    ode-&gt;state_internal[i]+=ode-&gt;h*ode-&gt;DstateDt[i];
<a name="l425"></a>  ode-&gt;t+=ode-&gt;h;
<a name="l426"></a>}
<a name="l427"></a>
<a name="l428"></a></span><span class=cF1>U0</span><span class=cF0> </span><span class=cF5>ODERK4OneStep</span><span class=cF0>(</span><span class=cF9>CMathODE</span><span class=cF0> *ode)
<a name="l429"></a>{
<a name="l430"></a>  </span><span class=cF9>I64</span><span class=cF0> i,n=ode-&gt;n_internal;
<a name="l431"></a>  </span><span class=cF1>F64</span><span class=cF0> xh,hh,h6,*dym,*dyt,*yt,*DstateDt;
<a name="l432"></a>
<a name="l433"></a>  dym =ode-&gt;tmp0;
<a name="l434"></a>  dyt =ode-&gt;tmp1;
<a name="l435"></a>  yt  =ode-&gt;tmp2;
<a name="l436"></a>  DstateDt=ode-&gt;tmp3;
<a name="l437"></a>  hh  =0.5*ode-&gt;h;
<a name="l438"></a>  h6  =ode-&gt;h / 6.0;
<a name="l439"></a>  xh  =ode-&gt;t + hh;
<a name="l440"></a>
<a name="l441"></a>  </span><span class=cF5>ODECallDerivative</span><span class=cF0>(ode,ode-&gt;t,ode-&gt;state_internal,ode-&gt;DstateDt);
<a name="l442"></a>  </span><span class=cF1>for</span><span class=cF0> (i=0;i&lt;n;i++)
<a name="l443"></a>    yt[i]=ode-&gt;state_internal[i]+hh*DstateDt[i];
<a name="l444"></a>  </span><span class=cF5>ODECallDerivative</span><span class=cF0>(ode,xh,yt,dyt);
<a name="l445"></a>  </span><span class=cF1>for</span><span class=cF0> (i=0;i&lt;n;i++)
<a name="l446"></a>    yt[i]=ode-&gt;state_internal[i]+hh*dyt[i];
<a name="l447"></a>  </span><span class=cF5>ODECallDerivative</span><span class=cF0>(ode,xh,yt,dym);
<a name="l448"></a>  </span><span class=cF1>for</span><span class=cF0> (i=0;i&lt;n;i++) </span><span class=cF7>{</span><span class=cF0>
<a name="l449"></a>    yt[i]=ode-&gt;state_internal[i]+ode-&gt;h*dym[i];
<a name="l450"></a>    dym[i]+=dyt[i];
<a name="l451"></a>  </span><span class=cF7>}</span><span class=cF0>
<a name="l452"></a>  ode-&gt;t+=ode-&gt;h;
<a name="l453"></a>  </span><span class=cF5>ODECallDerivative</span><span class=cF0>(ode,ode-&gt;t,yt,dyt);
<a name="l454"></a>  </span><span class=cF1>for</span><span class=cF0> (i=0;i&lt;n;i++)
<a name="l455"></a>    ode-&gt;state_internal[i]+=h6*(DstateDt[i]+dyt[i]+2.0*dym[i]);
<a name="l456"></a>}
<a name="l457"></a>
<a name="l458"></a>#</span><span class=cF1>define</span><span class=cF0> </span><span class=cF3>ODEa2</span><span class=cF0> 0.2
<a name="l459"></a>#</span><span class=cF1>define</span><span class=cF0> </span><span class=cF3>ODEa3</span><span class=cF0> 0.3
<a name="l460"></a>#</span><span class=cF1>define</span><span class=cF0> </span><span class=cF3>ODEa4</span><span class=cF0> 0.6
<a name="l461"></a>#</span><span class=cF1>define</span><span class=cF0> </span><span class=cF3>ODEa5</span><span class=cF0> 1.0
<a name="l462"></a>#</span><span class=cF1>define</span><span class=cF0> </span><span class=cF3>ODEa6</span><span class=cF0> 0.875
<a name="l463"></a>#</span><span class=cF1>define</span><span class=cF0> </span><span class=cF3>ODEb21</span><span class=cF0> 0.2
<a name="l464"></a>#</span><span class=cF1>define</span><span class=cF0> </span><span class=cF3>ODEb31</span><span class=cF0> (3.0/40.0)
<a name="l465"></a>#</span><span class=cF1>define</span><span class=cF0> </span><span class=cF3>ODEb32</span><span class=cF0> (9.0/40.0)
<a name="l466"></a>#</span><span class=cF1>define</span><span class=cF0> </span><span class=cF3>ODEb41</span><span class=cF0> 0.3
<a name="l467"></a>#</span><span class=cF1>define</span><span class=cF0> </span><span class=cF3>ODEb42</span><span class=cF0> (-0.9)
<a name="l468"></a>#</span><span class=cF1>define</span><span class=cF0> </span><span class=cF3>ODEb43</span><span class=cF0> 1.2
<a name="l469"></a>#</span><span class=cF1>define</span><span class=cF0> </span><span class=cF3>ODEb51</span><span class=cF0> (-11.0/54.0)
<a name="l470"></a>#</span><span class=cF1>define</span><span class=cF0> </span><span class=cF3>ODEb52</span><span class=cF0> 2.5
<a name="l471"></a>#</span><span class=cF1>define</span><span class=cF0> </span><span class=cF3>ODEb53</span><span class=cF0> (-70.0/27.0)
<a name="l472"></a>#</span><span class=cF1>define</span><span class=cF0> </span><span class=cF3>ODEb54</span><span class=cF0> (35.0/27.0)
<a name="l473"></a>#</span><span class=cF1>define</span><span class=cF0> </span><span class=cF3>ODEb61</span><span class=cF0> (1631.0/55296.0)
<a name="l474"></a>#</span><span class=cF1>define</span><span class=cF0> </span><span class=cF3>ODEb62</span><span class=cF0> (175.0/512.0)
<a name="l475"></a>#</span><span class=cF1>define</span><span class=cF0> </span><span class=cF3>ODEb63</span><span class=cF0> (575.0/13824.0)
<a name="l476"></a>#</span><span class=cF1>define</span><span class=cF0> </span><span class=cF3>ODEb64</span><span class=cF0> (44275.0/110592.0)
<a name="l477"></a>#</span><span class=cF1>define</span><span class=cF0> </span><span class=cF3>ODEb65</span><span class=cF0> (253.0/4096.0)
<a name="l478"></a>#</span><span class=cF1>define</span><span class=cF0> </span><span class=cF3>ODEc1</span><span class=cF0>  (37.0/378.0)
<a name="l479"></a>#</span><span class=cF1>define</span><span class=cF0> </span><span class=cF3>ODEc3</span><span class=cF0>  (250.0/621.0)
<a name="l480"></a>#</span><span class=cF1>define</span><span class=cF0> </span><span class=cF3>ODEc4</span><span class=cF0>  (125.0/594.0)
<a name="l481"></a>#</span><span class=cF1>define</span><span class=cF0> </span><span class=cF3>ODEc6</span><span class=cF0>  (512.0/1771.0)
<a name="l482"></a>#</span><span class=cF1>define</span><span class=cF0> </span><span class=cF3>ODEdc1</span><span class=cF0> (37.0/378.0-2825.0/27648.0)
<a name="l483"></a>#</span><span class=cF1>define</span><span class=cF0> </span><span class=cF3>ODEdc3</span><span class=cF0> (250.0/621.0-18575.0/48384.0)
<a name="l484"></a>#</span><span class=cF1>define</span><span class=cF0> </span><span class=cF3>ODEdc4</span><span class=cF0> (125.0/594.0-13525.0/55296.0)
<a name="l485"></a>#</span><span class=cF1>define</span><span class=cF0> </span><span class=cF3>ODEdc5</span><span class=cF0> (-277.0/14336.0)
<a name="l486"></a>#</span><span class=cF1>define</span><span class=cF0> </span><span class=cF3>ODEdc6</span><span class=cF0> (512.0/1771.0-0.25)
<a name="l487"></a>
<a name="l488"></a></span><span class=cF1>U0</span><span class=cF0> </span><span class=cF5>ODECashKarp</span><span class=cF0>(</span><span class=cF9>CMathODE</span><span class=cF0> *ode)
<a name="l489"></a>{
<a name="l490"></a>  </span><span class=cF9>I64</span><span class=cF0> i,n=ode-&gt;n_internal;
<a name="l491"></a>  </span><span class=cF1>F64</span><span class=cF0> h=ode-&gt;h,*state=ode-&gt;state_internal,
<a name="l492"></a>        *DstateDt=ode-&gt;DstateDt,*ak2,*ak3,*ak4,*ak5,*ak6,
<a name="l493"></a>        *tmpstate,*stateerr,*outstate;
<a name="l494"></a>
<a name="l495"></a>  ak2=ode-&gt;tmp0;
<a name="l496"></a>  ak3=ode-&gt;tmp1;
<a name="l497"></a>  ak4=ode-&gt;tmp2;
<a name="l498"></a>  ak5=ode-&gt;tmp3;
<a name="l499"></a>  ak6=ode-&gt;tmp4;
<a name="l500"></a>  tmpstate=ode-&gt;tmp5;
<a name="l501"></a>  outstate=ode-&gt;tmp6;
<a name="l502"></a>  stateerr=ode-&gt;tmp7;
<a name="l503"></a>
<a name="l504"></a>  </span><span class=cF1>for</span><span class=cF0> (i=0;i&lt;n;i++)
<a name="l505"></a>    tmpstate[i]=state[i]+</span><span class=cF3>ODEb21</span><span class=cF0>*h*DstateDt[i];
<a name="l506"></a>  </span><span class=cF5>ODECallDerivative</span><span class=cF0>(ode,ode-&gt;t+</span><span class=cF3>ODEa2</span><span class=cF0>*h,tmpstate,ak2);
<a name="l507"></a>  </span><span class=cF1>for</span><span class=cF0> (i=0;i&lt;n;i++)
<a name="l508"></a>    tmpstate[i]=state[i]+h*(</span><span class=cF3>ODEb31</span><span class=cF0>*DstateDt[i]+</span><span class=cF3>ODEb32</span><span class=cF0>*ak2[i]);
<a name="l509"></a>  </span><span class=cF5>ODECallDerivative</span><span class=cF0>(ode,ode-&gt;t+</span><span class=cF3>ODEa3</span><span class=cF0>*h,tmpstate,ak3);
<a name="l510"></a>  </span><span class=cF1>for</span><span class=cF0> (i=0;i&lt;n;i++)
<a name="l511"></a>    tmpstate[i]=state[i]+h*(</span><span class=cF3>ODEb41</span><span class=cF0>*DstateDt[i]+</span><span class=cF3>ODEb42</span><span class=cF0>*ak2[i]+</span><span class=cF3>ODEb43</span><span class=cF0>*ak3[i]);
<a name="l512"></a>  </span><span class=cF5>ODECallDerivative</span><span class=cF0>(ode,ode-&gt;t+</span><span class=cF3>ODEa4</span><span class=cF0>*h,tmpstate,ak4);
<a name="l513"></a>  </span><span class=cF1>for</span><span class=cF0> (i=0;i&lt;n;i++)
<a name="l514"></a>    tmpstate[i]=state[i]+h*(</span><span class=cF3>ODEb51</span><span class=cF0>*DstateDt[i]+
<a name="l515"></a>          </span><span class=cF3>ODEb52</span><span class=cF0>*ak2[i]+</span><span class=cF3>ODEb53</span><span class=cF0>*ak3[i]+</span><span class=cF3>ODEb54</span><span class=cF0>*ak4[i]);
<a name="l516"></a>  </span><span class=cF5>ODECallDerivative</span><span class=cF0>(ode,ode-&gt;t+</span><span class=cF3>ODEa5</span><span class=cF0>*h,tmpstate,ak5);
<a name="l517"></a>  </span><span class=cF1>for</span><span class=cF0> (i=0;i&lt;n;i++)
<a name="l518"></a>    tmpstate[i]=state[i]+h*(</span><span class=cF3>ODEb61</span><span class=cF0>*DstateDt[i]+
<a name="l519"></a>          </span><span class=cF3>ODEb62</span><span class=cF0>*ak2[i]+</span><span class=cF3>ODEb63</span><span class=cF0>*ak3[i]+</span><span class=cF3>ODEb64</span><span class=cF0>*ak4[i]+</span><span class=cF3>ODEb65</span><span class=cF0>*ak5[i]);
<a name="l520"></a>  </span><span class=cF5>ODECallDerivative</span><span class=cF0>(ode,ode-&gt;t+</span><span class=cF3>ODEa6</span><span class=cF0>*h,tmpstate,ak6);
<a name="l521"></a>
<a name="l522"></a>  </span><span class=cF1>for</span><span class=cF0> (i=0;i&lt;n;i++)
<a name="l523"></a>    outstate[i]=state[i]+h*(</span><span class=cF3>ODEc1</span><span class=cF0>*DstateDt[i]+
<a name="l524"></a>          </span><span class=cF3>ODEc3</span><span class=cF0>*ak3[i]+</span><span class=cF3>ODEc4</span><span class=cF0>*ak4[i]+</span><span class=cF3>ODEc6</span><span class=cF0>*ak6[i]);
<a name="l525"></a>  </span><span class=cF1>for</span><span class=cF0> (i=0;i&lt;n;i++)
<a name="l526"></a>    stateerr[i]=h*(</span><span class=cF3>ODEdc1</span><span class=cF0>*DstateDt[i]+</span><span class=cF3>ODEdc3</span><span class=cF0>*ak3[i]+
<a name="l527"></a>          </span><span class=cF3>ODEdc4</span><span class=cF0>*ak4[i]+</span><span class=cF3>ODEdc5</span><span class=cF0>*ak5[i]+</span><span class=cF3>ODEdc6</span><span class=cF0>*ak6[i]);
<a name="l528"></a>}
<a name="l529"></a>
<a name="l530"></a>#</span><span class=cF1>define</span><span class=cF0> </span><span class=cF3>SAFETY</span><span class=cF0> 0.9
<a name="l531"></a>#</span><span class=cF1>define</span><span class=cF0> </span><span class=cF3>PGROW</span><span class=cF0>  (-0.2)
<a name="l532"></a>#</span><span class=cF1>define</span><span class=cF0> </span><span class=cF3>PSHRNK</span><span class=cF0> (-0.25)
<a name="l533"></a>#</span><span class=cF1>define</span><span class=cF0> </span><span class=cF3>ERRCON</span><span class=cF0> 1.89e-4
<a name="l534"></a>
<a name="l535"></a></span><span class=cF1>U0</span><span class=cF0> </span><span class=cF5>ODERK5OneStep</span><span class=cF0>(</span><span class=cF9>CMathODE</span><span class=cF0> *ode)
<a name="l536"></a>{
<a name="l537"></a>  </span><span class=cF9>I64</span><span class=cF0> i;
<a name="l538"></a>  </span><span class=cF1>F64</span><span class=cF0> errmax,tmp,*tmpstate=ode-&gt;tmp6,*stateerr=ode-&gt;tmp7;
<a name="l539"></a>  </span><span class=cF1>while</span><span class=cF0> (</span><span class=cF3>TRUE</span><span class=cF0>) </span><span class=cF7>{</span><span class=cF0>
<a name="l540"></a>    ode-&gt;h=</span><span class=cF5>Clamp</span><span class=cF0>(ode-&gt;h,ode-&gt;h_min,ode-&gt;h_max);
<a name="l541"></a>    </span><span class=cF5>ODECashKarp</span><span class=cF0>(ode);
<a name="l542"></a>    errmax=0.0;
<a name="l543"></a>    </span><span class=cF1>for</span><span class=cF0> (i=0;i&lt;ode-&gt;n_internal;i++) {
<a name="l544"></a>      tmp=</span><span class=cF5>Abs</span><span class=cF0>(stateerr[i]/ode-&gt;state_scale[i]);
<a name="l545"></a>      </span><span class=cF1>if</span><span class=cF0> (tmp&gt;errmax)
<a name="l546"></a>        errmax=tmp;
<a name="l547"></a>    }
<a name="l548"></a>    errmax/=ode-&gt;tolerance_internal;
<a name="l549"></a>    </span><span class=cF1>if</span><span class=cF0> (errmax&lt;=1.0 || ode-&gt;h==ode-&gt;h_min) </span><span class=cF1>break</span><span class=cF0>;
<a name="l550"></a>    tmp=ode-&gt;h*</span><span class=cF3>SAFETY</span><span class=cF0>*errmax`</span><span class=cF3>PSHRNK</span><span class=cF0>;
<a name="l551"></a>    </span><span class=cF1>if</span><span class=cF0> (tmp&lt;0.1*ode-&gt;h)
<a name="l552"></a>      ode-&gt;h*=0.1;
<a name="l553"></a>    </span><span class=cF1>else</span><span class=cF0>
<a name="l554"></a>      ode-&gt;h=tmp;
<a name="l555"></a>  </span><span class=cF7>}</span><span class=cF0>
<a name="l556"></a>  ode-&gt;t+=ode-&gt;h;
<a name="l557"></a>  </span><span class=cF1>if</span><span class=cF0> (errmax&gt;</span><span class=cF3>ERRCON</span><span class=cF0>)
<a name="l558"></a>    ode-&gt;h*=</span><span class=cF3>SAFETY</span><span class=cF0>*errmax`</span><span class=cF3>PGROW</span><span class=cF0>;
<a name="l559"></a>  </span><span class=cF1>else</span><span class=cF0>
<a name="l560"></a>    ode-&gt;h*=5.0;
<a name="l561"></a>  ode-&gt;h=</span><span class=cF5>Clamp</span><span class=cF0>(ode-&gt;h,ode-&gt;h_min,ode-&gt;h_max);
<a name="l562"></a>  </span><span class=cF5>MemCpy</span><span class=cF0>(ode-&gt;state_internal,tmpstate,</span><span class=cF1>sizeof</span><span class=cF7>(</span><span class=cF1>F64</span><span class=cF7>)</span><span class=cF0>*ode-&gt;n_internal);
<a name="l563"></a>}
<a name="l564"></a>
<a name="l565"></a></span><span class=cF1>F64</span><span class=cF0> </span><span class=cFB>ode_alloced_factor</span><span class=cF0>=0.75;
<a name="l566"></a>
<a name="l567"></a></span><span class=cF1>U0</span><span class=cF0> </span><span class=cF5>ODEsUpdate</span><span class=cF0>(</span><span class=cF9>CTask</span><span class=cF0> *task)
<a name="l568"></a>{</span><span class=cF2>/* This routine is called by the </span><a href="/Wb/Adam/Gr/GrScrn.HC.HTML#l7"><span class=cF4>window mgr</span></a><span class=cF2>on a continuous</span><span class=cF0>
<a name="l569"></a></span><span class=cF2>basis to allow real-time simulation.  It is intended</span><span class=cF0>
<a name="l570"></a></span><span class=cF2>to provide ress good enough for games.  It uses a runge-kutta</span><span class=cF0>
<a name="l571"></a></span><span class=cF2>integrator which is a better algorithm than doing it with Euler.</span><span class=cF0>
<a name="l572"></a>
<a name="l573"></a></span><span class=cF2>It is adaptive step-sized, so it slows down when an important</span><span class=cF0>
<a name="l574"></a></span><span class=cF2>event is taking place to improve accuracy, but in my implementation</span><span class=cF0>
<a name="l575"></a></span><span class=cF2>it has a timeout.</span><span class=cF0>
<a name="l576"></a></span><span class=cF2>*/</span><span class=cF0>
<a name="l577"></a>  </span><span class=cF9>I64</span><span class=cF0> i;
<a name="l578"></a>  </span><span class=cF1>F64</span><span class=cF0> d,start_time,timeout_time,t_desired,t_initial,interpolation;
<a name="l579"></a>  </span><span class=cF9>CMathODE</span><span class=cF0> *ode;
<a name="l580"></a>
<a name="l581"></a>  </span><span class=cF1>if</span><span class=cF0> (task-&gt;next_ode==&amp;task-&gt;next_ode)
<a name="l582"></a>    task-&gt;last_ode_time=0;
<a name="l583"></a>  </span><span class=cF1>else</span><span class=cF0> </span><span class=cF1>if</span><span class=cF0> (!</span><span class=cF5>Bt</span><span class=cF7>(</span><span class=cF0>&amp;task-&gt;win_inhibit,</span><span class=cF3>WIf_SELF_ODE</span><span class=cF7>)</span><span class=cF0>) </span><span class=cF7>{</span><span class=cF0>
<a name="l584"></a></span><span class=cF2>//See </span><a href="/Wb/Adam/Gr/GrScrn.HC.HTML#l58"><span class=cF4>GrUpdateTasks</span></a><span class=cF2>() and </span><a href="/Wb/Adam/Gr/GrScrn.HC.HTML#l3"><span class=cF4>GrUpdateTaskODEs</span></a><span class=cF2>().</span><span class=cF0>
<a name="l585"></a>    </span><span class=cF2>//We will not pick a time limit based on</span><span class=cF0>
<a name="l586"></a>    </span><span class=cF2>//how busy the CPU is, what percent of the</span><span class=cF0>
<a name="l587"></a>    </span><span class=cF2>//last refresh cycle was spent on ODE's</span><span class=cF0>
<a name="l588"></a>    </span><span class=cF2>//and what the refresh cycle rate was.</span><span class=cF0>
<a name="l589"></a>    start_time=</span><span class=cF5>tS</span><span class=cF0>;
<a name="l590"></a>    d=1.0/</span><span class=cFB>winmgr</span><span class=cF0>.fps;
<a name="l591"></a>    timeout_time=start_time+
<a name="l592"></a>          (task-&gt;last_ode_time/d+0.1)/(</span><span class=cFB>winmgr</span><span class=cF0>.last_ode_time/d+0.1)*
<a name="l593"></a>          </span><span class=cFB>ode_alloced_factor</span><span class=cF0>*d;
<a name="l594"></a>    ode=task-&gt;next_ode;
<a name="l595"></a>    </span><span class=cF1>while</span><span class=cF0> (ode!=&amp;task-&gt;next_ode) {
<a name="l596"></a>      t_initial=ode-&gt;t;
<a name="l597"></a>      d=</span><span class=cF5>tS</span><span class=cF0>;
<a name="l598"></a>      </span><span class=cF1>if</span><span class=cF0> (!</span><span class=cF7>(</span><span class=cF0>ode-&gt;flags&amp;</span><span class=cF3>ODEF_STARTED</span><span class=cF7>)</span><span class=cF0>) </span><span class=cF7>{</span><span class=cF0>
<a name="l599"></a>        ode-&gt;base_t=d;
<a name="l600"></a>        ode-&gt;flags|=</span><span class=cF3>ODEF_STARTED</span><span class=cF0>;
<a name="l601"></a>      </span><span class=cF7>}</span><span class=cF0>
<a name="l602"></a>      d-=ode-&gt;base_t+t_initial;
<a name="l603"></a>      t_desired=ode-&gt;t_scale*d+t_initial;
<a name="l604"></a>      </span><span class=cF1>if</span><span class=cF0> (ode-&gt;flags&amp;</span><span class=cF3>ODEF_PAUSED</span><span class=cF0>)
<a name="l605"></a>        ode-&gt;base_t+=t_desired-ode-&gt;t; </span><span class=cF2>//Slip</span><span class=cF0>
<a name="l606"></a>      </span><span class=cF1>else</span><span class=cF0> </span><span class=cF7>{</span><span class=cF0>
<a name="l607"></a>        ode-&gt;flags|=</span><span class=cF3>ODEF_BUSY</span><span class=cF0>;
<a name="l608"></a>        </span><span class=cF1>if</span><span class=cF0> (ode-&gt;flags&amp;</span><span class=cF3>ODEF_PAUSED</span><span class=cF0>)
<a name="l609"></a>          ode-&gt;base_t+=t_desired-ode-&gt;t; </span><span class=cF2>//Slip</span><span class=cF0>
<a name="l610"></a>        </span><span class=cF1>else</span><span class=cF0> {
<a name="l611"></a>          </span><span class=cF1>if</span><span class=cF0> (ode-&gt;derive || ode-&gt;mp_derive) </span><span class=cF7>{</span><span class=cF0>
<a name="l612"></a>            </span><span class=cF1>if</span><span class=cF0> (ode-&gt;mp_derive)
<a name="l613"></a>              </span><span class=cF5>ODEMPWake</span><span class=cF0>(ode);
<a name="l614"></a>            </span><span class=cF5>ODEState2Internal</span><span class=cF0>(ode);
<a name="l615"></a>            </span><span class=cF5>MemCpy</span><span class=cF0>(ode-&gt;initial_state,ode-&gt;state_internal,
<a name="l616"></a>                  ode-&gt;n_internal*</span><span class=cF1>sizeof</span><span class=cF7>(</span><span class=cF1>F64</span><span class=cF7>)</span><span class=cF0>);
<a name="l617"></a>            </span><span class=cF1>while</span><span class=cF0> (ode-&gt;t&lt;t_desired) {
<a name="l618"></a>              ode-&gt;h_max=t_desired-ode-&gt;t;
<a name="l619"></a>              </span><span class=cF5>ODECallDerivative</span><span class=cF0>(ode,ode-&gt;t,ode-&gt;state_internal,ode-&gt;DstateDt);
<a name="l620"></a>              </span><span class=cF1>for</span><span class=cF0> (i=0;i&lt;ode-&gt;n_internal;i++)
<a name="l621"></a>                ode-&gt;state_scale[i]=</span><span class=cF5>Abs</span><span class=cF0>(ode-&gt;state_internal[i])+
<a name="l622"></a>                      </span><span class=cF5>Abs</span><span class=cF0>(ode-&gt;DstateDt[i]*ode-&gt;h)+ode-&gt;tolerance_internal;
<a name="l623"></a>              </span><span class=cF5>ODERK5OneStep</span><span class=cF0>(ode);
<a name="l624"></a>              </span><span class=cF1>if</span><span class=cF0> (</span><span class=cF5>tS</span><span class=cF0>&gt;timeout_time) </span><span class=cF7>{</span><span class=cF0>
<a name="l625"></a>                ode-&gt;base_t+=t_desired-ode-&gt;t; </span><span class=cF2>//Slip</span><span class=cF0>
<a name="l626"></a>                </span><span class=cF1>goto</span><span class=cF0> ode_done;
<a name="l627"></a>
<a name="l628"></a>              </span><span class=cF7>}</span><span class=cF0>
<a name="l629"></a>            }
<a name="l630"></a>
<a name="l631"></a>            </span><span class=cF2>//Interpolate if end time was not exact.</span><span class=cF0>
<a name="l632"></a>            </span><span class=cF1>if</span><span class=cF0> (ode-&gt;t!=t_desired) {
<a name="l633"></a>              </span><span class=cF1>if</span><span class=cF0> (interpolation=ode-&gt;t-t_initial) </span><span class=cF7>{</span><span class=cF0>
<a name="l634"></a>                interpolation=(t_desired-t_initial)/interpolation;
<a name="l635"></a>                </span><span class=cF1>if</span><span class=cF0> (interpolation!=1.0)
<a name="l636"></a>                  </span><span class=cF1>for</span><span class=cF0> (i=0;i&lt;ode-&gt;n_internal;i++)
<a name="l637"></a>                    ode-&gt;state_internal[i]=(ode-&gt;state_internal[i]-
<a name="l638"></a>                          ode-&gt;initial_state[i])*interpolation+
<a name="l639"></a>                          ode-&gt;initial_state[i];
<a name="l640"></a>              </span><span class=cF7>}</span><span class=cF0>
<a name="l641"></a>              ode-&gt;t=t_desired;
<a name="l642"></a>            }
<a name="l643"></a>ode_done:
<a name="l644"></a>            </span><span class=cF5>ODEInternal2State</span><span class=cF0>(ode);
<a name="l645"></a>
<a name="l646"></a>            </span><span class=cF2>//Convenience call to set vals</span><span class=cF0>
<a name="l647"></a>            </span><span class=cF5>ODECallDerivative</span><span class=cF0>(ode,ode-&gt;t,ode-&gt;state_internal,ode-&gt;DstateDt);
<a name="l648"></a>
<a name="l649"></a>            </span><span class=cF1>if</span><span class=cF0> (ode-&gt;mp_derive)
<a name="l650"></a>              </span><span class=cF5>ODEMPSleep</span><span class=cF0>(ode);
<a name="l651"></a>          </span><span class=cF7>}</span><span class=cF0>
<a name="l652"></a>        }
<a name="l653"></a>        ode-&gt;flags&amp;=~</span><span class=cF3>ODEF_BUSY</span><span class=cF0>;
<a name="l654"></a>      </span><span class=cF7>}</span><span class=cF0>
<a name="l655"></a>      ode-&gt;base_t+=(1.0-ode-&gt;t_scale)*d;
<a name="l656"></a>      ode=ode-&gt;next;
<a name="l657"></a>    }
<a name="l658"></a>
<a name="l659"></a>    </span><span class=cF2>//Now, we will dynamically adjust tolerances.</span><span class=cF0>
<a name="l660"></a>
<a name="l661"></a>    </span><span class=cF2>//We will regulate the tolerances</span><span class=cF0>
<a name="l662"></a>    </span><span class=cF2>//to fill the time we decided was</span><span class=cF0>
<a name="l663"></a>    </span><span class=cF2>//okay to devote to ODE's.</span><span class=cF0>
<a name="l664"></a>    </span><span class=cF2>//Since we might have multiple ODE's</span><span class=cF0>
<a name="l665"></a>    </span><span class=cF2>//active we scale them by the same factor.</span><span class=cF0>
<a name="l666"></a>
<a name="l667"></a>    </span><span class=cF2>//This algorithm is probably not stable or very good, but it's something.</span><span class=cF0>
<a name="l668"></a>
<a name="l669"></a>    </span><span class=cF2>//Target is 75% of alloced time.</span><span class=cF0>
<a name="l670"></a>    d=(</span><span class=cF5>tS</span><span class=cF0>-start_time)/(timeout_time-start_time)-0.75;
<a name="l671"></a>
<a name="l672"></a>    ode=task-&gt;next_ode;
<a name="l673"></a>    </span><span class=cF1>while</span><span class=cF0> (ode!=&amp;task-&gt;next_ode) {
<a name="l674"></a>      </span><span class=cF1>if</span><span class=cF0> (!</span><span class=cF7>(</span><span class=cF0>ode-&gt;flags&amp;</span><span class=cF3>ODEF_PAUSED</span><span class=cF7>)</span><span class=cF0> &amp;&amp; ode-&gt;derive) </span><span class=cF7>{</span><span class=cF0>
<a name="l675"></a>        </span><span class=cF1>if</span><span class=cF0> (ode-&gt;min_tolerance!=ode-&gt;max_tolerance) {
<a name="l676"></a>          </span><span class=cF1>if</span><span class=cF0> (d&gt;0)
<a name="l677"></a>            ode-&gt;tolerance_internal*=10.0`d;
<a name="l678"></a>          </span><span class=cF1>else</span><span class=cF0>
<a name="l679"></a>            ode-&gt;tolerance_internal*=2.0`d;
<a name="l680"></a>        }
<a name="l681"></a>        ode-&gt;tolerance_internal=</span><span class=cF5>Clamp</span><span class=cF0>(ode-&gt;tolerance_internal,
<a name="l682"></a>              ode-&gt;min_tolerance,ode-&gt;max_tolerance);
<a name="l683"></a>      </span><span class=cF7>}</span><span class=cF0>
<a name="l684"></a>      ode=ode-&gt;next;
<a name="l685"></a>    }
<a name="l686"></a>    </span><span class=cFB>winmgr</span><span class=cF0>.ode_time+=task-&gt;last_ode_time=</span><span class=cF5>tS</span><span class=cF0>-start_time;
<a name="l687"></a>  </span><span class=cF7>}</span><span class=cF0>
<a name="l688"></a>}
</span></pre></body>
</html>