Sophie

Sophie

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player-doc-3.0.2-5.fc14.noarch.rpm

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<h1>geometria.h</h1>  </div>
</div>
<div class="contents">
<div class="fragment"><pre class="fragment"><a name="l00001"></a>00001 
<a name="l00002"></a>00002 <span class="comment">/*****************************************************************************/</span>
<a name="l00003"></a>00003 <span class="comment">/*                                                                           */</span>
<a name="l00004"></a>00004 <span class="comment">/*  Fichero:     geometria.h                                                 */</span>
<a name="l00005"></a>00005 <span class="comment">/*  Autor:       Javier C. Osuna Sanz                                        */</span>
<a name="l00006"></a>00006 <span class="comment">/*  Creado:      17/10/2002                                                  */</span>
<a name="l00007"></a>00007 <span class="comment">/*  Modificado:  11/07/2003                                                  */</span>
<a name="l00008"></a>00008 <span class="comment">/*                                                                           */</span>
<a name="l00009"></a>00009 <span class="comment">/*****************************************************************************/</span>
<a name="l00010"></a>00010 <span class="comment">/*</span>
<a name="l00011"></a>00011 <span class="comment"> *  This program is free software; you can redistribute it and/or modify</span>
<a name="l00012"></a>00012 <span class="comment"> *  it under the terms of the GNU General Public License as published by</span>
<a name="l00013"></a>00013 <span class="comment"> *  the Free Software Foundation; either version 2 of the License, or</span>
<a name="l00014"></a>00014 <span class="comment"> *  (at your option) any later version.</span>
<a name="l00015"></a>00015 <span class="comment"> *</span>
<a name="l00016"></a>00016 <span class="comment"> *  This program is distributed in the hope that it will be useful,</span>
<a name="l00017"></a>00017 <span class="comment"> *  but WITHOUT ANY WARRANTY; without even the implied warranty of</span>
<a name="l00018"></a>00018 <span class="comment"> *  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the</span>
<a name="l00019"></a>00019 <span class="comment"> *  GNU General Public License for more details.</span>
<a name="l00020"></a>00020 <span class="comment"> *</span>
<a name="l00021"></a>00021 <span class="comment"> *  You should have received a copy of the GNU General Public License</span>
<a name="l00022"></a>00022 <span class="comment"> *  along with this program; if not, write to the Free Software</span>
<a name="l00023"></a>00023 <span class="comment"> *  Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA</span>
<a name="l00024"></a>00024 <span class="comment"> *</span>
<a name="l00025"></a>00025 <span class="comment"> */</span>
<a name="l00026"></a>00026 <span class="preprocessor">#ifndef geometria_h</span>
<a name="l00027"></a>00027 <span class="preprocessor"></span><span class="preprocessor">#define geometria_h</span>
<a name="l00028"></a>00028 <span class="preprocessor"></span>
<a name="l00029"></a>00029 <span class="preprocessor">#include &lt;math.h&gt;</span>
<a name="l00030"></a>00030 <span class="preprocessor">#include &quot;nd.h&quot;</span>
<a name="l00031"></a>00031 
<a name="l00032"></a>00032 <span class="comment">/* ------------------------------------------------------------------------- */</span>
<a name="l00033"></a>00033 <span class="comment">/* Declaraci�n de constantes y macros.                                       */</span>
<a name="l00034"></a>00034 <span class="comment">/* ------------------------------------------------------------------------- */</span>
<a name="l00035"></a>00035 
<a name="l00036"></a>00036 <span class="comment">// Declaraci�n de la constante PI.</span>
<a name="l00037"></a>00037 
<a name="l00038"></a>00038 <span class="preprocessor">#ifdef PI</span>
<a name="l00039"></a>00039 <span class="preprocessor"></span><span class="preprocessor">#undef PI</span>
<a name="l00040"></a>00040 <span class="preprocessor"></span><span class="preprocessor">#endif</span>
<a name="l00041"></a>00041 <span class="preprocessor"></span>
<a name="l00042"></a>00042 <span class="preprocessor">#define PI 3.1415926535F</span>
<a name="l00043"></a>00043 <span class="preprocessor"></span><span class="preprocessor">#ifndef M_PI</span>
<a name="l00044"></a>00044 <span class="preprocessor"></span><span class="preprocessor">#define M_PI PI</span>
<a name="l00045"></a>00045 <span class="preprocessor"></span><span class="preprocessor">#endif</span>
<a name="l00046"></a>00046 <span class="preprocessor"></span>
<a name="l00047"></a>00047 <span class="comment">// Declaraci�n de operaciones b�sicas.</span>
<a name="l00048"></a>00048 
<a name="l00049"></a>00049 <span class="preprocessor">#define CUADRADO(x) (float)((x)*(x))</span>
<a name="l00050"></a>00050 <span class="preprocessor"></span><span class="preprocessor">#define RAIZ(x) (float)sqrt(x)</span>
<a name="l00051"></a>00051 <span class="preprocessor"></span>
<a name="l00052"></a>00052 <span class="preprocessor">#define ARCOTANGENTE(x,y) (float)atan2(y,x)</span>
<a name="l00053"></a>00053 <span class="preprocessor"></span><span class="preprocessor">#define ARCOCOSENO(x,r) (float)acos((x)/(r))</span>
<a name="l00054"></a>00054 <span class="preprocessor"></span><span class="preprocessor">#define ARCOSENO(y,r) (float)asin((y)/(r))</span>
<a name="l00055"></a>00055 <span class="preprocessor"></span>
<a name="l00056"></a>00056 <span class="preprocessor">#define MINIMO(a,b) ( (a)&lt;=(b) ? (a) : (b) )</span>
<a name="l00057"></a>00057 <span class="preprocessor"></span><span class="preprocessor">#define MAXIMO(a,b) ( (a)&gt;=(b) ? (a) : (b) )</span>
<a name="l00058"></a>00058 <span class="preprocessor"></span>
<a name="l00059"></a>00059 <span class="comment">/* ------------------------------------------------------------------------- */</span>
<a name="l00060"></a>00060 <span class="comment">/* Cotas.                                                                    */</span>
<a name="l00061"></a>00061 <span class="comment">/* ------------------------------------------------------------------------- */</span>
<a name="l00062"></a>00062 
<a name="l00063"></a>00063 <span class="keyword">extern</span> <span class="keywordtype">void</span> AplicarCotas(<span class="keywordtype">float</span> *n,<span class="keywordtype">float</span> i,<span class="keywordtype">float</span> s);
<a name="l00064"></a>00064 
<a name="l00065"></a>00065 <span class="comment">/* ------------------------------------------------------------------------- */</span>
<a name="l00066"></a>00066 <span class="comment">/* Declaraci�n de tipos y macros relacionadas.                               */</span>
<a name="l00067"></a>00067 <span class="comment">/* ------------------------------------------------------------------------- */</span>
<a name="l00068"></a>00068 
<a name="l00069"></a>00069 <span class="comment">// Coordenadas cartesianas. Espacio real (y pantalla).</span>
<a name="l00070"></a>00070 
<a name="l00071"></a>00071 <span class="preprocessor">#define DISTANCIA_CUADRADO2(p,q) (((p).x-(q).x)*((p).x-(q).x)+((p).y-(q).y)*((p).y-(q).y))</span>
<a name="l00072"></a>00072 <span class="preprocessor"></span>
<a name="l00073"></a>00073 <span class="comment">// Coordenadas polares. Espacio real.</span>
<a name="l00074"></a>00074 
<a name="l00075"></a><a class="code" href="structTCoordenadasPolares.html">00075</a> <span class="keyword">typedef</span> <span class="keyword">struct </span>{
<a name="l00076"></a>00076   <span class="keywordtype">float</span> r; <span class="comment">// Radio.</span>
<a name="l00077"></a>00077   <span class="keywordtype">float</span> a; <span class="comment">// �ngulo.</span>
<a name="l00078"></a>00078 } <a class="code" href="structTCoordenadasPolares.html">TCoordenadasPolares</a>;
<a name="l00079"></a>00079 
<a name="l00080"></a>00080 <span class="comment">/* ------------------------------------------------------------------------- */</span>
<a name="l00081"></a>00081 <span class="comment">/* Construcci�n de coordenadas.                                              */</span>
<a name="l00082"></a>00082 <span class="comment">/* ------------------------------------------------------------------------- */</span>
<a name="l00083"></a>00083 
<a name="l00084"></a>00084 <span class="keyword">extern</span> <span class="keywordtype">void</span> ConstruirCoordenadasCP(<a class="code" href="structTCoordenadas.html">TCoordenadas</a> *p,<a class="code" href="structTCoordenadasPolares.html">TCoordenadasPolares</a> q);
<a name="l00085"></a>00085 <span class="keyword">extern</span> <span class="keywordtype">void</span> ConstruirCoordenadasCxy(<a class="code" href="structTCoordenadas.html">TCoordenadas</a> *p,<span class="keywordtype">float</span> x,<span class="keywordtype">float</span> y);
<a name="l00086"></a>00086 <span class="keyword">extern</span> <span class="keywordtype">void</span> ConstruirCoordenadasCra(<a class="code" href="structTCoordenadas.html">TCoordenadas</a> *p,<span class="keywordtype">float</span> r,<span class="keywordtype">float</span> a);
<a name="l00087"></a>00087 
<a name="l00088"></a>00088 <span class="keyword">extern</span> <span class="keywordtype">void</span> ConstruirCoordenadasPC(<a class="code" href="structTCoordenadasPolares.html">TCoordenadasPolares</a> *p,<a class="code" href="structTCoordenadas.html">TCoordenadas</a> q);
<a name="l00089"></a>00089 <span class="keyword">extern</span> <span class="keywordtype">void</span> ConstruirCoordenadasPxy(<a class="code" href="structTCoordenadasPolares.html">TCoordenadasPolares</a> *p,<span class="keywordtype">float</span> x,<span class="keywordtype">float</span> y);
<a name="l00090"></a>00090 <span class="keyword">extern</span> <span class="keywordtype">void</span> ConstruirCoordenadasPra(<a class="code" href="structTCoordenadasPolares.html">TCoordenadasPolares</a> *p,<span class="keywordtype">float</span> r,<span class="keywordtype">float</span> a);
<a name="l00091"></a>00091 
<a name="l00092"></a>00092 <span class="comment">// Paso de cartesianas a polares, pero con el m�dulo al cuadrado.</span>
<a name="l00093"></a>00093 <span class="keyword">extern</span> <span class="keywordtype">void</span> ConstruirCoordenadasPcC(<a class="code" href="structTCoordenadasPolares.html">TCoordenadasPolares</a> *p,<a class="code" href="structTCoordenadas.html">TCoordenadas</a> q);
<a name="l00094"></a>00094 
<a name="l00095"></a>00095 <span class="comment">/* ------------------------------------------------------------------------- */</span>
<a name="l00096"></a>00096 <span class="comment">/* Suma y resta de coordenadas.                                              */</span>
<a name="l00097"></a>00097 <span class="comment">/* ------------------------------------------------------------------------- */</span>
<a name="l00098"></a>00098 
<a name="l00099"></a>00099 <span class="keyword">extern</span> <span class="keywordtype">void</span> SumarCoordenadasCxy(<a class="code" href="structTCoordenadas.html">TCoordenadas</a> *p,<span class="keywordtype">float</span> x,<span class="keywordtype">float</span> y);
<a name="l00100"></a>00100 <span class="keyword">extern</span> <span class="keywordtype">void</span> SumarCoordenadasCxyC(<a class="code" href="structTCoordenadas.html">TCoordenadas</a> p,<span class="keywordtype">float</span> x,<span class="keywordtype">float</span> y,<a class="code" href="structTCoordenadas.html">TCoordenadas</a> *q);
<a name="l00101"></a>00101 <span class="keyword">extern</span> <span class="keywordtype">void</span> SumarCoordenadasCra(<a class="code" href="structTCoordenadas.html">TCoordenadas</a> *p,<span class="keywordtype">float</span> r,<span class="keywordtype">float</span> a);
<a name="l00102"></a>00102 <span class="keyword">extern</span> <span class="keywordtype">void</span> SumarCoordenadasCraC(<a class="code" href="structTCoordenadas.html">TCoordenadas</a> p,<span class="keywordtype">float</span> r,<span class="keywordtype">float</span> a,<a class="code" href="structTCoordenadas.html">TCoordenadas</a> *q);
<a name="l00103"></a>00103 
<a name="l00104"></a>00104 <span class="comment">/* ------------------------------------------------------------------------- */</span>
<a name="l00105"></a>00105 <span class="comment">/* Transformaciones entre sistemas de coordenadas.                           */</span>
<a name="l00106"></a>00106 <span class="comment">/* ------------------------------------------------------------------------- */</span>
<a name="l00107"></a>00107 
<a name="l00108"></a>00108 <span class="comment">// Transformaciones directas.</span>
<a name="l00109"></a>00109 
<a name="l00110"></a>00110 <span class="keyword">extern</span> <span class="keywordtype">void</span> TransformacionDirecta(<a class="code" href="structTSR.html">TSR</a> *SR,<a class="code" href="structTCoordenadas.html">TCoordenadas</a> *p);
<a name="l00111"></a>00111 
<a name="l00112"></a>00112 <span class="preprocessor">#define TRANSFORMACION01(SR1,p) TransformacionDirecta(SR1,p);</span>
<a name="l00113"></a>00113 <span class="preprocessor"></span><span class="preprocessor">#define TRANSFORMACION12(SR2,p) TransformacionDirecta(SR2,p);</span>
<a name="l00114"></a>00114 <span class="preprocessor"></span><span class="preprocessor">#define TRANSFORMACION23(SR3,p) TransformacionDirecta(SR3,p);</span>
<a name="l00115"></a>00115 <span class="preprocessor"></span>
<a name="l00116"></a>00116 <span class="preprocessor">#define TRANSFORMACION02(SR1,SR2,p) \</span>
<a name="l00117"></a>00117 <span class="preprocessor">    { \</span>
<a name="l00118"></a>00118 <span class="preprocessor">      TRANSFORMACION01(SR1,p) \</span>
<a name="l00119"></a>00119 <span class="preprocessor">      TRANSFORMACION12(SR2,p) \</span>
<a name="l00120"></a>00120 <span class="preprocessor">    }</span>
<a name="l00121"></a>00121 <span class="preprocessor"></span>
<a name="l00122"></a>00122 <span class="comment">// Transformaciones inversas.</span>
<a name="l00123"></a>00123 
<a name="l00124"></a>00124 <span class="keyword">extern</span> <span class="keywordtype">void</span> TransformacionInversa(<a class="code" href="structTSR.html">TSR</a> *SR,<a class="code" href="structTCoordenadas.html">TCoordenadas</a> *p);
<a name="l00125"></a>00125 
<a name="l00126"></a>00126 <span class="preprocessor">#define TRANSFORMACION32(SR3,p) TransformacionInversa(SR3,p);</span>
<a name="l00127"></a>00127 <span class="preprocessor"></span><span class="preprocessor">#define TRANSFORMACION21(SR2,p) TransformacionInversa(SR2,p);</span>
<a name="l00128"></a>00128 <span class="preprocessor"></span><span class="preprocessor">#define TRANSFORMACION10(SR1,p) TransformacionInversa(SR1,p);</span>
<a name="l00129"></a>00129 <span class="preprocessor"></span>
<a name="l00130"></a>00130 <span class="preprocessor">#define TRANSFORMACION20(SR2,SR1,p) \</span>
<a name="l00131"></a>00131 <span class="preprocessor">    { \</span>
<a name="l00132"></a>00132 <span class="preprocessor">      TRANSFORMACION21(SR2,p) \</span>
<a name="l00133"></a>00133 <span class="preprocessor">      TRANSFORMACION10(SR1,p) \</span>
<a name="l00134"></a>00134 <span class="preprocessor">    }</span>
<a name="l00135"></a>00135 <span class="preprocessor"></span>
<a name="l00136"></a>00136 <span class="comment">// Transformaciones mixtas.</span>
<a name="l00137"></a>00137 
<a name="l00138"></a>00138 <span class="preprocessor">#define TRANSFORMACION101(SR1a,SR1b,p) \</span>
<a name="l00139"></a>00139 <span class="preprocessor">    { \</span>
<a name="l00140"></a>00140 <span class="preprocessor">      TRANSFORMACION10(SR1a,p) \</span>
<a name="l00141"></a>00141 <span class="preprocessor">      TRANSFORMACION01(SR1b,p) \</span>
<a name="l00142"></a>00142 <span class="preprocessor">    }</span>
<a name="l00143"></a>00143 <span class="preprocessor"></span>
<a name="l00144"></a>00144 <span class="comment">/* ------------------------------------------------------------------------- */</span>
<a name="l00145"></a>00145 <span class="comment">/* �ngulos e intervalos de �ngulos.                                          */</span>
<a name="l00146"></a>00146 <span class="comment">/* ------------------------------------------------------------------------- */</span>
<a name="l00147"></a>00147 
<a name="l00148"></a>00148 <span class="keyword">extern</span> <span class="keywordtype">float</span> AnguloNormalizado(<span class="keywordtype">float</span> angulo);
<a name="l00149"></a>00149 
<a name="l00150"></a>00150 <span class="keyword">extern</span> <span class="keywordtype">int</span> AnguloPerteneceIntervaloOrientadoCerrado(<span class="keywordtype">float</span> angulo,<span class="keywordtype">float</span> limite1,<span class="keywordtype">float</span> limite2);
<a name="l00151"></a>00151   <span class="comment">// Esta funci�n devuelve 1 si el �ngulo est� entre los l�mites; 0 en caso contrario.</span>
<a name="l00152"></a>00152   <span class="comment">// Todos los par�metros deben pertenecer al intervalo (-PI,PI].</span>
<a name="l00153"></a>00153 
<a name="l00154"></a>00154 <span class="keyword">extern</span> <span class="keywordtype">float</span> BisectrizAnguloOrientado(<span class="keywordtype">float</span> limite1,<span class="keywordtype">float</span> limite2);
<a name="l00155"></a>00155   <span class="comment">// Devuelve la bisectriz del �ngulo de &quot;limite1&quot; a &quot;limite2&quot; en sentido contrario a las agujas del reloj.</span>
<a name="l00156"></a>00156 
<a name="l00157"></a>00157 <span class="keyword">extern</span> <span class="keywordtype">float</span> BisectrizAnguloNoOrientado(<span class="keywordtype">float</span> limite1,<span class="keywordtype">float</span> limite2);
<a name="l00158"></a>00158   <span class="comment">// Devuelve la bisectriz del menor �ngulo formado por &quot;limite1&quot; y &quot;limite2&quot;, ya sea en el sentido de las agujas del reloj o en el opuesto.</span>
<a name="l00159"></a>00159 
<a name="l00160"></a>00160 <span class="keyword">extern</span> <span class="keywordtype">float</span> AmplitudAnguloOrientado(<span class="keywordtype">float</span> limite1,<span class="keywordtype">float</span> limite2);
<a name="l00161"></a>00161   <span class="comment">// Devuelve la amplitud del �ngulo de &quot;limite1&quot; a &quot;limite2&quot; en sentido contrario a las agujas del reloj.</span>
<a name="l00162"></a>00162 
<a name="l00163"></a>00163 <span class="keyword">extern</span> <span class="keywordtype">float</span> AmplitudAnguloNoOrientado(<span class="keywordtype">float</span> limite1,<span class="keywordtype">float</span> limite2);
<a name="l00164"></a>00164   <span class="comment">// Devuelve la amplitud del menor �ngulo formado por &quot;limite1&quot; y &quot;limite2&quot;, ya sea en el sentido de las agujas del reloj o en el opuesto.</span>
<a name="l00165"></a>00165 
<a name="l00166"></a>00166 <span class="comment">/* ------------------------------------------------------------------------- */</span>
<a name="l00167"></a>00167 <span class="comment">/* Cortes entre dos segmentos, uno de los cuales tiene como uno de sus       */</span>
<a name="l00168"></a>00168 <span class="comment">/* extremos el origen.                                                       */</span>
<a name="l00169"></a>00169 <span class="comment">/* ------------------------------------------------------------------------- */</span>
<a name="l00170"></a>00170 
<a name="l00171"></a>00171 <span class="keywordtype">void</span> MinimaDistanciaCuadradoCorte(<a class="code" href="structTCoordenadasPolares.html">TCoordenadasPolares</a> pp1,<a class="code" href="structTCoordenadasPolares.html">TCoordenadasPolares</a> pp2,<span class="keywordtype">float</span> angulo,<span class="keywordtype">float</span> *distancia);
<a name="l00172"></a>00172   <span class="comment">// Mediante su aplicaci�n reiterada obtenemos el m�s pr�ximo de entre los puntos de corte de un</span>
<a name="l00173"></a>00173   <span class="comment">// grupo de segmentos con una direcci�n determinada.</span>
<a name="l00174"></a>00174   <span class="comment">// &quot;p1&quot; y &quot;p2&quot; son los extremos de un segmento.</span>
<a name="l00175"></a>00175   <span class="comment">// &quot;angulo&quot; es la direcci�n de corte (desde el origen).</span>
<a name="l00176"></a>00176   <span class="comment">// &quot;distancia&quot; es la menor distancia obtenida hasta el momento.</span>
<a name="l00177"></a>00177 
<a name="l00178"></a>00178 <span class="preprocessor">#endif //geometria_h</span>
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