https://sourceforge.net/p/hpg-projects/wiki/Tau/Recent changes to TauenFri, 20 Jan 2023 12:22:35 -0000https://sourceforge.net/p/hpg-projects/wiki/Tau/<div class="markdown_content"><p>Tau is a proposed alternative to <a class="" href="/p/hpg-projects/wiki/Pi/" title="wikilink">Pi</a>, for several very<br/> good and convincing reasons. Unfortunately, most languages do not<br/> provide a Tau constant, including C/++ and Java.</p> <p>ENIGMA and EDL also do not provide a Tau constant at this time. The<br/> ENIGMA team has reviewed ENIGMA's uses of PI to see if it could be<br/> replaced with Tau, and concluded that there would be no benefit, as it<br/> is used almost exclusively for radian conversion (pi/180 and inverse),<br/> which is a constant operation that would not be affected by tau<br/> conversion (tau/360 and inverse).</p> <h2 id="uses">Uses</h2> <p>As of revision a957be0 (2012-02-27), the following uses of PI can be<br/> found throughout the<br/> project:</p> <div class="codehilite"><pre><span></span><code><span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Universal_System</span><span class="o">/</span><span class="n">collisions_object</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="k">const</span><span class="w"> </span><span class="kt">double</span><span class="w"> </span><span class="n">arad</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">image_angle</span><span class="o">*</span><span class="p">(</span><span class="n">M_PI</span><span class="o">/</span><span class="mf">180.0</span><span class="p">);</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Universal_System</span><span class="o">/</span><span class="n">collisions_object</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="k">const</span><span class="w"> </span><span class="kt">double</span><span class="w"> </span><span class="n">arad</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">image_angle</span><span class="o">*</span><span class="p">(</span><span class="n">M_PI</span><span class="o">/</span><span class="mf">180.0</span><span class="p">);</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Universal_System</span><span class="o">/</span><span class="n">collisions_object</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="k">const</span><span class="w"> </span><span class="kt">double</span><span class="w"> </span><span class="n">arad</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">image_angle</span><span class="o">*</span><span class="p">(</span><span class="n">M_PI</span><span class="o">/</span><span class="mf">180.0</span><span class="p">);</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Universal_System</span><span class="o">/</span><span class="n">collisions_object</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="k">const</span><span class="w"> </span><span class="kt">double</span><span class="w"> </span><span class="n">arad</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">image_angle</span><span class="o">*</span><span class="p">(</span><span class="n">M_PI</span><span class="o">/</span><span class="mf">180.0</span><span class="p">);</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Universal_System</span><span class="o">/</span><span class="n">mathnc</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="kt">double</span><span class="w"> </span><span class="n">sind</span><span class="p">(</span><span class="kt">double</span><span class="w"> </span><span class="n">x</span><span class="p">)</span><span class="w"> </span><span class="p">{</span><span class="w"> </span><span class="k">return</span><span class="w"> </span><span class="n">sin</span><span class="p">(</span><span class="n">x</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">M_PI</span><span class="w"> </span><span class="o">/</span><span class="w"> </span><span class="mf">180.0</span><span class="p">);</span><span class="w"> </span><span class="p">}</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Universal_System</span><span class="o">/</span><span class="n">mathnc</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="kt">double</span><span class="w"> </span><span class="n">cosd</span><span class="p">(</span><span class="kt">double</span><span class="w"> </span><span class="n">x</span><span class="p">)</span><span class="w"> </span><span class="p">{</span><span class="w"> </span><span class="k">return</span><span class="w"> </span><span class="n">cos</span><span class="p">(</span><span class="n">x</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">M_PI</span><span class="w"> </span><span class="o">/</span><span class="w"> </span><span class="mf">180.0</span><span class="p">);</span><span class="w"> </span><span class="p">}</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Universal_System</span><span class="o">/</span><span class="n">mathnc</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="kt">double</span><span class="w"> </span><span class="n">tand</span><span class="p">(</span><span class="kt">double</span><span class="w"> </span><span class="n">x</span><span class="p">)</span><span class="w"> </span><span class="p">{</span><span class="w"> </span><span class="k">return</span><span class="w"> </span><span class="n">tan</span><span class="p">(</span><span class="n">x</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">M_PI</span><span class="w"> </span><span class="o">/</span><span class="w"> </span><span class="mf">180.0</span><span class="p">);</span><span class="w"> </span><span class="p">}</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Universal_System</span><span class="o">/</span><span class="n">mathnc</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="kt">double</span><span class="w"> </span><span class="n">asind</span><span class="p">(</span><span class="kt">double</span><span class="w"> </span><span class="n">x</span><span class="p">)</span><span class="w"> </span><span class="p">{</span><span class="w"> </span><span class="k">return</span><span class="w"> </span><span class="n">asin</span><span class="p">(</span><span class="n">x</span><span class="p">)</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="mf">180.0</span><span class="w"> </span><span class="o">/</span><span class="w"> </span><span class="n">M_PI</span><span class="p">;</span><span class="w"> </span><span class="p">}</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Universal_System</span><span class="o">/</span><span class="n">mathnc</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="kt">double</span><span class="w"> </span><span class="n">acosd</span><span class="p">(</span><span class="kt">double</span><span class="w"> </span><span class="n">x</span><span class="p">)</span><span class="w"> </span><span class="p">{</span><span class="w"> </span><span class="k">return</span><span class="w"> </span><span class="n">acos</span><span class="p">(</span><span class="n">x</span><span class="p">)</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="mf">180.0</span><span class="w"> </span><span class="o">/</span><span class="w"> </span><span class="n">M_PI</span><span class="p">;</span><span class="w"> </span><span class="p">}</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Universal_System</span><span class="o">/</span><span class="n">mathnc</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="kt">double</span><span class="w"> </span><span class="n">atand</span><span class="p">(</span><span class="kt">double</span><span class="w"> </span><span class="n">x</span><span class="p">)</span><span class="w"> </span><span class="p">{</span><span class="w"> </span><span class="k">return</span><span class="w"> </span><span class="n">atan</span><span class="p">(</span><span class="n">x</span><span class="p">)</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="mf">180.0</span><span class="w"> </span><span class="o">/</span><span class="w"> </span><span class="n">M_PI</span><span class="p">;</span><span class="w"> </span><span class="p">}</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Universal_System</span><span class="o">/</span><span class="n">mathnc</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="kt">double</span><span class="w"> </span><span class="n">atand2</span><span class="p">(</span><span class="kt">double</span><span class="w"> </span><span class="n">y</span><span class="p">,</span><span class="kt">double</span><span class="w"> </span><span class="n">x</span><span class="p">)</span><span class="w"> </span><span class="p">{</span><span class="w"> </span><span class="k">return</span><span class="w"> </span><span class="n">atan2</span><span class="p">(</span><span class="n">y</span><span class="p">,</span><span class="n">x</span><span class="p">)</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="mf">180.0</span><span class="w"> </span><span class="o">/</span><span class="w"> </span><span class="n">M_PI</span><span class="p">;</span><span class="w"> </span><span class="p">}</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Universal_System</span><span class="o">/</span><span class="n">mathnc</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="kt">double</span><span class="w"> </span><span class="n">arcsind</span><span class="p">(</span><span class="kt">double</span><span class="w"> </span><span class="n">x</span><span class="p">)</span><span class="w"> </span><span class="p">{</span><span class="w"> </span><span class="k">return</span><span class="w"> </span><span class="n">asin</span><span class="p">(</span><span class="n">x</span><span class="p">)</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="mf">180.0</span><span class="w"> </span><span class="o">/</span><span class="w"> </span><span class="n">M_PI</span><span class="p">;</span><span class="w"> </span><span class="p">}</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Universal_System</span><span class="o">/</span><span class="n">mathnc</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="kt">double</span><span class="w"> </span><span class="n">arccosd</span><span class="p">(</span><span class="kt">double</span><span class="w"> </span><span class="n">x</span><span class="p">)</span><span class="w"> </span><span class="p">{</span><span class="w"> </span><span class="k">return</span><span class="w"> </span><span class="n">acos</span><span class="p">(</span><span class="n">x</span><span class="p">)</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="mf">180.0</span><span class="w"> </span><span class="o">/</span><span class="w"> </span><span class="n">M_PI</span><span class="p">;</span><span class="w"> </span><span class="p">}</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Universal_System</span><span class="o">/</span><span class="n">mathnc</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="kt">double</span><span class="w"> </span><span class="n">arctand</span><span class="p">(</span><span class="kt">double</span><span class="w"> </span><span class="n">x</span><span class="p">)</span><span class="w"> </span><span class="p">{</span><span class="w"> </span><span class="k">return</span><span class="w"> </span><span class="n">atan</span><span class="p">(</span><span class="n">x</span><span class="p">)</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="mf">180.0</span><span class="w"> </span><span class="o">/</span><span class="w"> </span><span class="n">M_PI</span><span class="p">;</span><span class="w"> </span><span class="p">}</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Universal_System</span><span class="o">/</span><span class="n">mathnc</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="kt">double</span><span class="w"> </span><span class="n">arctand2</span><span class="p">(</span><span class="kt">double</span><span class="w"> </span><span class="n">y</span><span class="p">,</span><span class="kt">double</span><span class="w"> </span><span class="n">x</span><span class="p">)</span><span class="w"> </span><span class="p">{</span><span class="w"> </span><span class="k">return</span><span class="w"> </span><span class="n">atan2</span><span class="p">(</span><span class="n">y</span><span class="p">,</span><span class="n">x</span><span class="p">)</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="mf">180.0</span><span class="w"> </span><span class="o">/</span><span class="w"> </span><span class="n">M_PI</span><span class="p">;</span><span class="w"> </span><span class="p">}</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Universal_System</span><span class="o">/</span><span class="n">mathnc</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="kt">double</span><span class="w"> </span><span class="n">degtorad</span><span class="p">(</span><span class="kt">double</span><span class="w"> </span><span class="n">x</span><span class="p">)</span><span class="w"> </span><span class="p">{</span><span class="w"> </span><span class="k">return</span><span class="w"> </span><span class="n">x</span><span class="o">*</span><span class="p">(</span><span class="n">M_PI</span><span class="o">/</span><span class="mf">180.0</span><span class="p">);}</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Universal_System</span><span class="o">/</span><span class="n">mathnc</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="kt">double</span><span class="w"> </span><span class="n">radtodeg</span><span class="p">(</span><span class="kt">double</span><span class="w"> </span><span class="n">x</span><span class="p">)</span><span class="w"> </span><span class="p">{</span><span class="w"> </span><span class="k">return</span><span class="w"> </span><span class="n">x</span><span class="o">*</span><span class="p">(</span><span class="mf">180.0</span><span class="o">/</span><span class="n">M_PI</span><span class="p">);}</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Universal_System</span><span class="o">/</span><span class="n">mathnc</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="kt">double</span><span class="w"> </span><span class="n">point_direction</span><span class="p">(</span><span class="kt">double</span><span class="w"> </span><span class="n">x1</span><span class="p">,</span><span class="kt">double</span><span class="w"> </span><span class="n">y1</span><span class="p">,</span><span class="kt">double</span><span class="w"> </span><span class="n">x2</span><span class="p">,</span><span class="kt">double</span><span class="w"> </span><span class="n">y2</span><span class="p">)</span><span class="w"> </span><span class="p">{</span><span class="w"> </span><span class="k">return</span><span class="w"> </span><span class="n">fmod</span><span class="p">((</span><span class="n">atan2</span><span class="p">(</span><span class="n">y1</span><span class="o">-</span><span class="n">y2</span><span class="p">,</span><span class="n">x2</span><span class="o">-</span><span class="n">x1</span><span class="p">)</span><span class="o">*</span><span class="p">(</span><span class="mi">180</span><span class="o">/</span><span class="n">M_PI</span><span class="p">))</span><span class="o">+</span><span class="mi">360</span><span class="p">,</span><span class="mi">360</span><span class="p">);</span><span class="w"> </span><span class="p">}</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Universal_System</span><span class="o">/</span><span class="n">mathnc</span><span class="p">.</span><span class="n">h</span><span class="o">:</span><span class="k">const</span><span class="w"> </span><span class="kt">double</span><span class="w"> </span><span class="n">pi</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">M_PI</span><span class="p">;</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Universal_System</span><span class="o">/</span><span class="n">move_functions</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="k">static</span><span class="w"> </span><span class="kt">double</span><span class="w"> </span><span class="n">point_direction</span><span class="p">(</span><span class="kt">double</span><span class="w"> </span><span class="n">x1</span><span class="p">,</span><span class="kt">double</span><span class="w"> </span><span class="n">y1</span><span class="p">,</span><span class="kt">double</span><span class="w"> </span><span class="n">x2</span><span class="p">,</span><span class="kt">double</span><span class="w"> </span><span class="n">y2</span><span class="p">)</span><span class="w"> </span><span class="p">{</span><span class="k">return</span><span class="w"> </span><span class="n">fmod</span><span class="p">((</span><span class="n">atan2</span><span class="p">(</span><span class="n">y1</span><span class="o">-</span><span class="n">y2</span><span class="p">,</span><span class="n">x2</span><span class="o">-</span><span class="n">x1</span><span class="p">)</span><span class="o">*</span><span class="p">(</span><span class="mi">180</span><span class="o">/</span><span class="n">M_PI</span><span class="p">))</span><span class="o">+</span><span class="mi">360</span><span class="p">,</span><span class="mi">360</span><span class="p">);}</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Universal_System</span><span class="o">/</span><span class="n">move_functions</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">newdirection</span><span class="w"> </span><span class="o">*=</span><span class="w"> </span><span class="p">(</span><span class="n">M_PI</span><span class="o">/</span><span class="mf">180.0</span><span class="p">);</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Universal_System</span><span class="o">/</span><span class="n">path_functions</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="kt">double</span><span class="w"> </span><span class="n">tmpx</span><span class="p">,</span><span class="w"> </span><span class="n">tmpy</span><span class="p">,</span><span class="w"> </span><span class="n">a</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="n">M_PI</span><span class="w"> </span><span class="o">/</span><span class="w"> </span><span class="mi">180</span><span class="p">)</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="o">-</span><span class="n">angle</span><span class="p">;</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Universal_System</span><span class="o">/</span><span class="n">path_functions</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="k">return</span><span class="w"> </span><span class="n">fmod</span><span class="p">((</span><span class="n">atan2</span><span class="p">(</span><span class="n">y1</span><span class="o">-</span><span class="n">y2</span><span class="p">,</span><span class="n">x2</span><span class="o">-</span><span class="n">x1</span><span class="p">)</span><span class="o">*</span><span class="p">(</span><span class="mi">180</span><span class="o">/</span><span class="n">M_PI</span><span class="p">))</span><span class="o">+</span><span class="mi">360</span><span class="p">,</span><span class="mi">360</span><span class="p">);</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Universal_System</span><span class="o">/</span><span class="n">path_functions</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="k">return</span><span class="w"> </span><span class="n">fmod</span><span class="p">((</span><span class="n">atan2</span><span class="p">(</span><span class="n">y2</span><span class="o">-</span><span class="n">y1</span><span class="p">,</span><span class="n">x1</span><span class="o">-</span><span class="n">x2</span><span class="p">)</span><span class="o">*</span><span class="p">(</span><span class="mi">180</span><span class="o">/</span><span class="n">M_PI</span><span class="p">))</span><span class="o">+</span><span class="mi">360</span><span class="p">,</span><span class="mi">360</span><span class="p">);</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Universal_System</span><span class="o">/</span><span class="n">planar_object</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">instance</span><span class="o">-&gt;</span><span class="n">hspeed</span><span class="p">.</span><span class="n">rval</span><span class="p">.</span><span class="n">d</span><span class="w"> </span><span class="o">-=</span><span class="w"> </span><span class="p">(</span><span class="n">sign</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">instance</span><span class="o">-&gt;</span><span class="n">friction</span><span class="p">)</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">cos</span><span class="p">(</span><span class="n">instance</span><span class="o">-&gt;</span><span class="n">direction</span><span class="p">.</span><span class="n">rval</span><span class="p">.</span><span class="n">d</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">M_PI</span><span class="o">/</span><span class="mi">180</span><span class="p">);</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Universal_System</span><span class="o">/</span><span class="n">planar_object</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">instance</span><span class="o">-&gt;</span><span class="n">vspeed</span><span class="p">.</span><span class="n">rval</span><span class="p">.</span><span class="n">d</span><span class="w"> </span><span class="o">-=</span><span class="w"> </span><span class="p">(</span><span class="n">sign</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">instance</span><span class="o">-&gt;</span><span class="n">friction</span><span class="p">)</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="o">-</span><span class="n">sin</span><span class="p">(</span><span class="n">instance</span><span class="o">-&gt;</span><span class="n">direction</span><span class="p">.</span><span class="n">rval</span><span class="p">.</span><span class="n">d</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">M_PI</span><span class="o">/</span><span class="mi">180</span><span class="p">);</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Universal_System</span><span class="o">/</span><span class="n">planar_object</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">instance</span><span class="o">-&gt;</span><span class="n">hspeed</span><span class="p">.</span><span class="n">rval</span><span class="p">.</span><span class="n">d</span><span class="w"> </span><span class="o">+=</span><span class="w"> </span><span class="p">(</span><span class="n">instance</span><span class="o">-&gt;</span><span class="n">gravity</span><span class="p">)</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">cos</span><span class="p">(</span><span class="n">instance</span><span class="o">-&gt;</span><span class="n">gravity_direction</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">M_PI</span><span class="o">/</span><span class="mi">180</span><span class="p">);</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Universal_System</span><span class="o">/</span><span class="n">planar_object</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">instance</span><span class="o">-&gt;</span><span class="n">vspeed</span><span class="p">.</span><span class="n">rval</span><span class="p">.</span><span class="n">d</span><span class="w"> </span><span class="o">+=</span><span class="w"> </span><span class="p">(</span><span class="n">instance</span><span class="o">-&gt;</span><span class="n">gravity</span><span class="p">)</span><span class="w"> </span><span class="o">*-</span><span class="n">sin</span><span class="p">(</span><span class="n">instance</span><span class="o">-&gt;</span><span class="n">gravity_direction</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">M_PI</span><span class="o">/</span><span class="mi">180</span><span class="p">);</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Universal_System</span><span class="o">/</span><span class="n">reflexive_types</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="o">*</span><span class="n">hspd</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="o">*</span><span class="n">spd</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">cos</span><span class="p">(</span><span class="n">rval</span><span class="p">.</span><span class="n">d</span><span class="o">*</span><span class="n">M_PI</span><span class="o">/</span><span class="mi">180</span><span class="p">);</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Universal_System</span><span class="o">/</span><span class="n">reflexive_types</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="o">*</span><span class="n">vspd</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="o">*</span><span class="n">spd</span><span class="w"> </span><span class="o">*-</span><span class="n">sin</span><span class="p">(</span><span class="n">rval</span><span class="p">.</span><span class="n">d</span><span class="o">*</span><span class="n">M_PI</span><span class="o">/</span><span class="mi">180</span><span class="p">);</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Universal_System</span><span class="o">/</span><span class="n">reflexive_types</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="o">*</span><span class="n">hspd</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">rval</span><span class="p">.</span><span class="n">d</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">cos</span><span class="p">(</span><span class="o">*</span><span class="n">dir</span><span class="o">*</span><span class="n">M_PI</span><span class="o">/</span><span class="mi">180</span><span class="p">);</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Universal_System</span><span class="o">/</span><span class="n">reflexive_types</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="o">*</span><span class="n">vspd</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">rval</span><span class="p">.</span><span class="n">d</span><span class="w"> </span><span class="o">*-</span><span class="n">sin</span><span class="p">(</span><span class="o">*</span><span class="n">dir</span><span class="o">*</span><span class="n">M_PI</span><span class="o">/</span><span class="mi">180</span><span class="p">);</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Universal_System</span><span class="o">/</span><span class="n">reflexive_types</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="o">*</span><span class="n">dir</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="kt">int</span><span class="p">(</span><span class="mi">180</span><span class="o">+</span><span class="mi">180</span><span class="o">*</span><span class="p">(</span><span class="mi">1</span><span class="o">-</span><span class="n">atan2</span><span class="p">(</span><span class="o">*</span><span class="n">vspd</span><span class="p">,</span><span class="n">rval</span><span class="p">.</span><span class="n">d</span><span class="p">)</span><span class="o">/</span><span class="n">M_PI</span><span class="p">)))</span><span class="o">%</span><span class="mi">360</span><span class="p">;</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Universal_System</span><span class="o">/</span><span class="n">reflexive_types</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="o">*</span><span class="n">dir</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="kt">int</span><span class="p">(</span><span class="mi">180</span><span class="o">+</span><span class="mi">180</span><span class="o">*</span><span class="p">(</span><span class="mi">1</span><span class="o">-</span><span class="n">atan2</span><span class="p">(</span><span class="n">rval</span><span class="p">.</span><span class="n">d</span><span class="p">,</span><span class="o">*</span><span class="n">hspd</span><span class="p">)</span><span class="o">/</span><span class="n">M_PI</span><span class="p">)))</span><span class="o">%</span><span class="mi">360</span><span class="p">;</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Collision_Systems</span><span class="o">/</span><span class="n">BBox</span><span class="o">/</span><span class="n">coll_funcs</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="k">const</span><span class="w"> </span><span class="kt">double</span><span class="w"> </span><span class="n">arad</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">angle</span><span class="o">*</span><span class="p">(</span><span class="n">M_PI</span><span class="o">/</span><span class="mf">180.0</span><span class="p">);</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Collision_Systems</span><span class="o">/</span><span class="n">BBox</span><span class="o">/</span><span class="n">coll_funcs</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="k">static</span><span class="w"> </span><span class="kr">inline</span><span class="w"> </span><span class="kt">double</span><span class="w"> </span><span class="n">point_direction</span><span class="p">(</span><span class="kt">double</span><span class="w"> </span><span class="n">x1</span><span class="p">,</span><span class="kt">double</span><span class="w"> </span><span class="n">y1</span><span class="p">,</span><span class="kt">double</span><span class="w"> </span><span class="n">x2</span><span class="p">,</span><span class="kt">double</span><span class="w"> </span><span class="n">y2</span><span class="p">)</span><span class="w"> </span><span class="p">{</span><span class="k">return</span><span class="w"> </span><span class="n">fmod</span><span class="p">((</span><span class="n">atan2</span><span class="p">(</span><span class="n">y1</span><span class="o">-</span><span class="n">y2</span><span class="p">,</span><span class="n">x2</span><span class="o">-</span><span class="n">x1</span><span class="p">)</span><span class="o">*</span><span class="p">(</span><span class="mi">180</span><span class="o">/</span><span class="n">M_PI</span><span class="p">))</span><span class="o">+</span><span class="mi">360</span><span class="p">,</span><span class="mi">360</span><span class="p">);}</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Collision_Systems</span><span class="o">/</span><span class="n">BBox</span><span class="o">/</span><span class="n">coll_funcs</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="k">const</span><span class="w"> </span><span class="kt">double</span><span class="w"> </span><span class="n">radang</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">angle</span><span class="o">*</span><span class="p">(</span><span class="n">M_PI</span><span class="o">/</span><span class="mf">180.0</span><span class="p">);</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Collision_Systems</span><span class="o">/</span><span class="n">BBox</span><span class="o">/</span><span class="n">coll_funcs</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="kt">double</span><span class="w"> </span><span class="n">radang</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">angle</span><span class="o">*</span><span class="p">(</span><span class="n">M_PI</span><span class="o">/</span><span class="mf">180.0</span><span class="p">);</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Collision_Systems</span><span class="o">/</span><span class="n">BBox</span><span class="o">/</span><span class="n">coll_impl</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="k">const</span><span class="w"> </span><span class="kt">double</span><span class="w"> </span><span class="n">arad</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">angle</span><span class="o">*</span><span class="p">(</span><span class="n">M_PI</span><span class="o">/</span><span class="mf">180.0</span><span class="p">);</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGLES</span><span class="o">/</span><span class="n">GSbackground</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">rot</span><span class="w"> </span><span class="o">*=</span><span class="w"> </span><span class="n">M_PI</span><span class="o">/</span><span class="mi">180</span><span class="p">;</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGLES</span><span class="o">/</span><span class="n">GSbackground</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="kt">float</span><span class="w"> </span><span class="n">ulcx</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">x</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">xscale</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">cos</span><span class="p">(</span><span class="n">M_PI</span><span class="o">+</span><span class="n">rot</span><span class="p">)</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">yscale</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">cos</span><span class="p">(</span><span class="n">M_PI</span><span class="o">/</span><span class="mi">2</span><span class="o">+</span><span class="n">rot</span><span class="p">),</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGLES</span><span class="o">/</span><span class="n">GSbackground</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">ulcy</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">y</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="n">yscale</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">sin</span><span class="p">(</span><span class="n">M_PI</span><span class="o">+</span><span class="n">rot</span><span class="p">)</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="n">yscale</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">sin</span><span class="p">(</span><span class="n">M_PI</span><span class="o">/</span><span class="mi">2</span><span class="o">+</span><span class="n">rot</span><span class="p">);</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGLES</span><span class="o">/</span><span class="n">GSbackground</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">ulcx</span><span class="w"> </span><span class="o">+=</span><span class="w"> </span><span class="n">h</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">cos</span><span class="p">(</span><span class="mi">3</span><span class="o">*</span><span class="n">M_PI</span><span class="o">/</span><span class="mi">2</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">rot</span><span class="p">);</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGLES</span><span class="o">/</span><span class="n">GSbackground</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">ulcy</span><span class="w"> </span><span class="o">-=</span><span class="w"> </span><span class="n">h</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">sin</span><span class="p">(</span><span class="mi">3</span><span class="o">*</span><span class="n">M_PI</span><span class="o">/</span><span class="mi">2</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">rot</span><span class="p">);</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGLES</span><span class="o">/</span><span class="n">GSbackground</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">rot</span><span class="w"> </span><span class="o">*=</span><span class="w"> </span><span class="n">M_PI</span><span class="o">/</span><span class="mi">180</span><span class="p">;</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGLES</span><span class="o">/</span><span class="n">GSbackground</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="kt">float</span><span class="w"> </span><span class="n">ulcx</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">x</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">xscale</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">cos</span><span class="p">(</span><span class="n">M_PI</span><span class="o">+</span><span class="n">rot</span><span class="p">)</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">yscale</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">cos</span><span class="p">(</span><span class="n">M_PI</span><span class="o">/</span><span class="mi">2</span><span class="o">+</span><span class="n">rot</span><span class="p">),</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGLES</span><span class="o">/</span><span class="n">GSbackground</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">ulcy</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">y</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="n">yscale</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">sin</span><span class="p">(</span><span class="n">M_PI</span><span class="o">+</span><span class="n">rot</span><span class="p">)</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="n">yscale</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">sin</span><span class="p">(</span><span class="n">M_PI</span><span class="o">/</span><span class="mi">2</span><span class="o">+</span><span class="n">rot</span><span class="p">);</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGLES</span><span class="o">/</span><span class="n">GSbackground</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">ulcx</span><span class="w"> </span><span class="o">+=</span><span class="w"> </span><span class="n">h</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">cos</span><span class="p">(</span><span class="mi">3</span><span class="o">*</span><span class="n">M_PI</span><span class="o">/</span><span class="mi">2</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">rot</span><span class="p">);</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGLES</span><span class="o">/</span><span class="n">GSbackground</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">ulcy</span><span class="w"> </span><span class="o">-=</span><span class="w"> </span><span class="n">h</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">sin</span><span class="p">(</span><span class="mi">3</span><span class="o">*</span><span class="n">M_PI</span><span class="o">/</span><span class="mi">2</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">rot</span><span class="p">);</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGLES</span><span class="o">/</span><span class="n">GSd3d</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">ymax</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">zNear</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">tan</span><span class="p">(</span><span class="n">fovy</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">M_PI</span><span class="w"> </span><span class="o">/</span><span class="w"> </span><span class="mf">360.0</span><span class="p">);</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGLES</span><span class="o">/</span><span class="n">GSfont</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">rot</span><span class="w"> </span><span class="o">*=</span><span class="w"> </span><span class="n">M_PI</span><span class="o">/</span><span class="mi">180</span><span class="p">;</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGLES</span><span class="o">/</span><span class="n">GSfont</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">rot</span><span class="w"> </span><span class="o">*=</span><span class="w"> </span><span class="n">M_PI</span><span class="o">/</span><span class="mi">180</span><span class="p">;</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGLES</span><span class="o">/</span><span class="n">GSfont</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">rot</span><span class="w"> </span><span class="o">*=</span><span class="w"> </span><span class="n">M_PI</span><span class="o">/</span><span class="mi">180</span><span class="p">;</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGLES</span><span class="o">/</span><span class="n">GSfont</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">rot</span><span class="w"> </span><span class="o">*=</span><span class="w"> </span><span class="n">M_PI</span><span class="o">/</span><span class="mi">180</span><span class="p">;</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGLES</span><span class="o">/</span><span class="n">GSsprite</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">rot</span><span class="w"> </span><span class="o">*=</span><span class="w"> </span><span class="n">M_PI</span><span class="o">/</span><span class="mi">180</span><span class="p">;</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGLES</span><span class="o">/</span><span class="n">GSsprite</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">ulcx</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">x</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">xscale</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">spr2d</span><span class="o">-&gt;</span><span class="n">xoffset</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">cos</span><span class="p">(</span><span class="n">M_PI</span><span class="o">+</span><span class="n">rot</span><span class="p">)</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">yscale</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">spr2d</span><span class="o">-&gt;</span><span class="n">yoffset</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">cos</span><span class="p">(</span><span class="n">M_PI</span><span class="o">/</span><span class="mi">2</span><span class="o">+</span><span class="n">rot</span><span class="p">),</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGLES</span><span class="o">/</span><span class="n">GSsprite</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">ulcy</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">y</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="n">yscale</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">spr2d</span><span class="o">-&gt;</span><span class="n">xoffset</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">sin</span><span class="p">(</span><span class="n">M_PI</span><span class="o">+</span><span class="n">rot</span><span class="p">)</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="n">yscale</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">spr2d</span><span class="o">-&gt;</span><span class="n">yoffset</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">sin</span><span class="p">(</span><span class="n">M_PI</span><span class="o">/</span><span class="mi">2</span><span class="o">+</span><span class="n">rot</span><span class="p">);</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGLES</span><span class="o">/</span><span class="n">GSsprite</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="k">const</span><span class="w"> </span><span class="kt">double</span><span class="w"> </span><span class="n">mpr</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">3</span><span class="o">*</span><span class="n">M_PI</span><span class="o">/</span><span class="mi">2</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">rot</span><span class="p">;</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGLES</span><span class="o">/</span><span class="n">GSsprite</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">rot</span><span class="w"> </span><span class="o">*=</span><span class="w"> </span><span class="n">M_PI</span><span class="o">/</span><span class="mi">180</span><span class="p">;</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGLES</span><span class="o">/</span><span class="n">GSsprite</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="kt">float</span><span class="w"> </span><span class="n">ulcx</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">x</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">xscale</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">cos</span><span class="p">(</span><span class="n">M_PI</span><span class="o">+</span><span class="n">rot</span><span class="p">)</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">yscale</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">cos</span><span class="p">(</span><span class="n">M_PI</span><span class="o">/</span><span class="mi">2</span><span class="o">+</span><span class="n">rot</span><span class="p">),</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGLES</span><span class="o">/</span><span class="n">GSsprite</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">ulcy</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">y</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="n">yscale</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">sin</span><span class="p">(</span><span class="n">M_PI</span><span class="o">+</span><span class="n">rot</span><span class="p">)</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="n">yscale</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">sin</span><span class="p">(</span><span class="n">M_PI</span><span class="o">/</span><span class="mi">2</span><span class="o">+</span><span class="n">rot</span><span class="p">);</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGLES</span><span class="o">/</span><span class="n">GSsprite</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="k">const</span><span class="w"> </span><span class="kt">double</span><span class="w"> </span><span class="n">mpr</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">3</span><span class="o">*</span><span class="n">M_PI</span><span class="o">/</span><span class="mi">2</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">rot</span><span class="p">;</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGLES</span><span class="o">/</span><span class="n">GSstdraw</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">angle</span><span class="w"> </span><span class="o">*=</span><span class="w"> </span><span class="n">M_PI</span><span class="o">/</span><span class="mi">180</span><span class="p">;</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGLES</span><span class="o">/</span><span class="n">GSstdraw</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="kt">float</span><span class="w"> </span><span class="n">pr</span><span class="o">=</span><span class="mi">2</span><span class="o">*</span><span class="n">M_PI</span><span class="o">/</span><span class="n">enigma</span><span class="o">::</span><span class="n">circleprecision</span><span class="p">;</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGLES</span><span class="o">/</span><span class="n">GSstdraw</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="k">for</span><span class="p">(</span><span class="kt">float</span><span class="w"> </span><span class="n">i</span><span class="o">=</span><span class="n">pr</span><span class="p">;</span><span class="n">i</span><span class="o">&lt;</span><span class="n">M_PI</span><span class="o">/</span><span class="mi">2</span><span class="p">;</span><span class="n">i</span><span class="o">+=</span><span class="n">pr</span><span class="p">)</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGLES</span><span class="o">/</span><span class="n">GSstdraw</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="k">for</span><span class="p">(</span><span class="kt">float</span><span class="w"> </span><span class="n">i</span><span class="o">=</span><span class="n">pr</span><span class="p">;</span><span class="n">i</span><span class="o">&lt;</span><span class="n">M_PI</span><span class="o">/</span><span class="mi">2</span><span class="p">;</span><span class="n">i</span><span class="o">+=</span><span class="n">pr</span><span class="p">){</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGLES</span><span class="o">/</span><span class="n">GSstdraw</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="kt">float</span><span class="w"> </span><span class="n">pr</span><span class="o">=</span><span class="mi">2</span><span class="o">*</span><span class="n">M_PI</span><span class="o">/</span><span class="n">enigma</span><span class="o">::</span><span class="n">circleprecision</span><span class="p">;</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGLES</span><span class="o">/</span><span class="n">GSstdraw</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="k">for</span><span class="p">(</span><span class="kt">float</span><span class="w"> </span><span class="n">i</span><span class="o">=</span><span class="n">pr</span><span class="p">;</span><span class="n">i</span><span class="o">&lt;</span><span class="mi">2</span><span class="o">*</span><span class="n">M_PI</span><span class="p">;</span><span class="n">i</span><span class="o">+=</span><span class="n">pr</span><span class="p">)</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGLES</span><span class="o">/</span><span class="n">GSstdraw</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">pr</span><span class="o">=</span><span class="mi">2</span><span class="o">*</span><span class="n">M_PI</span><span class="o">/</span><span class="n">enigma</span><span class="o">::</span><span class="n">circleprecision</span><span class="p">;</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGLES</span><span class="o">/</span><span class="n">GSstdraw</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="k">for</span><span class="p">(</span><span class="kt">float</span><span class="w"> </span><span class="n">i</span><span class="o">=</span><span class="n">pr</span><span class="p">;</span><span class="n">i</span><span class="o">&lt;</span><span class="n">M_PI</span><span class="p">;</span><span class="n">i</span><span class="o">+=</span><span class="n">pr</span><span class="p">)</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGLES</span><span class="o">/</span><span class="n">GSstdraw</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="k">for</span><span class="p">(</span><span class="kt">float</span><span class="w"> </span><span class="n">i</span><span class="o">=</span><span class="n">pr</span><span class="p">;</span><span class="n">i</span><span class="o">&lt;</span><span class="n">M_PI</span><span class="p">;</span><span class="n">i</span><span class="o">+=</span><span class="n">pr</span><span class="p">)</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGLES</span><span class="o">/</span><span class="n">GSstdraw</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">pr</span><span class="o">=</span><span class="mi">2</span><span class="o">*</span><span class="n">M_PI</span><span class="o">/</span><span class="n">enigma</span><span class="o">::</span><span class="n">circleprecision</span><span class="p">;</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGLES</span><span class="o">/</span><span class="n">GSstdraw</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="k">for</span><span class="p">(</span><span class="kt">float</span><span class="w"> </span><span class="n">i</span><span class="o">=</span><span class="n">pr</span><span class="p">;</span><span class="n">i</span><span class="o">&lt;</span><span class="mi">2</span><span class="o">*</span><span class="n">M_PI</span><span class="p">;</span><span class="n">i</span><span class="o">+=</span><span class="n">pr</span><span class="p">)</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGLES</span><span class="o">/</span><span class="n">GSstdraw</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="kt">float</span><span class="w"> </span><span class="n">yc</span><span class="o">=</span><span class="n">vr</span><span class="o">*</span><span class="n">cos</span><span class="p">((</span><span class="n">M_PI</span><span class="o">/</span><span class="mi">2</span><span class="p">)</span><span class="o">/</span><span class="n">hr</span><span class="o">*</span><span class="n">xc</span><span class="p">);</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGLES</span><span class="o">/</span><span class="n">GSstdraw</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">fabs</span><span class="p">((</span><span class="n">dir</span><span class="o">&lt;</span><span class="mi">0</span><span class="o">?</span><span class="n">dir</span><span class="o">+</span><span class="mi">2</span><span class="o">*</span><span class="n">M_PI</span><span class="o">:</span><span class="n">dir</span><span class="p">)</span><span class="o">-</span><span class="p">(</span><span class="n">at</span><span class="o">&lt;</span><span class="mi">0</span><span class="o">?</span><span class="n">at</span><span class="o">+</span><span class="mi">2</span><span class="o">*</span><span class="n">M_PI</span><span class="o">:</span><span class="n">at</span><span class="p">))</span><span class="w"> </span><span class="o">&lt;</span><span class="w"> </span><span class="mf">0.01</span><span class="p">){</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGL</span><span class="o">/</span><span class="n">GSbackground</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">rot</span><span class="w"> </span><span class="o">*=</span><span class="w"> </span><span class="n">M_PI</span><span class="o">/</span><span class="mi">180</span><span class="p">;</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGL</span><span class="o">/</span><span class="n">GSbackground</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">ulcx</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">x</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">xscale</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">cos</span><span class="p">(</span><span class="n">M_PI</span><span class="o">+</span><span class="n">rot</span><span class="p">)</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">yscale</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">cos</span><span class="p">(</span><span class="n">M_PI</span><span class="o">/</span><span class="mi">2</span><span class="o">+</span><span class="n">rot</span><span class="p">),</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGL</span><span class="o">/</span><span class="n">GSbackground</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">ulcy</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">y</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="n">yscale</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">sin</span><span class="p">(</span><span class="n">M_PI</span><span class="o">+</span><span class="n">rot</span><span class="p">)</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="n">yscale</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">sin</span><span class="p">(</span><span class="n">M_PI</span><span class="o">/</span><span class="mi">2</span><span class="o">+</span><span class="n">rot</span><span class="p">);</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGL</span><span class="o">/</span><span class="n">GSbackground</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="k">const</span><span class="w"> </span><span class="kt">double</span><span class="w"> </span><span class="n">mpr</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">3</span><span class="o">*</span><span class="n">M_PI</span><span class="o">/</span><span class="mi">2</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">rot</span><span class="p">;</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGL</span><span class="o">/</span><span class="n">GSbackground</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">rot</span><span class="w"> </span><span class="o">*=</span><span class="w"> </span><span class="n">M_PI</span><span class="o">/</span><span class="mi">180</span><span class="p">;</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGL</span><span class="o">/</span><span class="n">GSbackground</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="kt">float</span><span class="w"> </span><span class="n">ulcx</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">x</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">xscale</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">cos</span><span class="p">(</span><span class="n">M_PI</span><span class="o">+</span><span class="n">rot</span><span class="p">)</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">yscale</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">cos</span><span class="p">(</span><span class="n">M_PI</span><span class="o">/</span><span class="mi">2</span><span class="o">+</span><span class="n">rot</span><span class="p">),</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGL</span><span class="o">/</span><span class="n">GSbackground</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">ulcy</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">y</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="n">yscale</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">sin</span><span class="p">(</span><span class="n">M_PI</span><span class="o">+</span><span class="n">rot</span><span class="p">)</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="n">yscale</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">sin</span><span class="p">(</span><span class="n">M_PI</span><span class="o">/</span><span class="mi">2</span><span class="o">+</span><span class="n">rot</span><span class="p">);</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGL</span><span class="o">/</span><span class="n">GSbackground</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">ulcx</span><span class="w"> </span><span class="o">+=</span><span class="w"> </span><span class="n">h</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">cos</span><span class="p">(</span><span class="mi">3</span><span class="o">*</span><span class="n">M_PI</span><span class="o">/</span><span class="mi">2</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">rot</span><span class="p">);</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGL</span><span class="o">/</span><span class="n">GSbackground</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">ulcy</span><span class="w"> </span><span class="o">-=</span><span class="w"> </span><span class="n">h</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">sin</span><span class="p">(</span><span class="mi">3</span><span class="o">*</span><span class="n">M_PI</span><span class="o">/</span><span class="mi">2</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">rot</span><span class="p">);</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGL</span><span class="o">/</span><span class="n">GSd3d</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="k">const</span><span class="w"> </span><span class="kt">double</span><span class="w"> </span><span class="n">cx</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="n">x1</span><span class="o">+</span><span class="n">x2</span><span class="p">)</span><span class="o">/</span><span class="mi">2</span><span class="p">,</span><span class="w"> </span><span class="n">cy</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="n">y1</span><span class="o">+</span><span class="n">y2</span><span class="p">)</span><span class="o">/</span><span class="mi">2</span><span class="p">,</span><span class="w"> </span><span class="n">rx</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="n">x2</span><span class="o">-</span><span class="n">x1</span><span class="p">)</span><span class="o">/</span><span class="mi">2</span><span class="p">,</span><span class="w"> </span><span class="n">ry</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="n">y2</span><span class="o">-</span><span class="n">y1</span><span class="p">)</span><span class="o">/</span><span class="mi">2</span><span class="p">,</span><span class="w"> </span><span class="n">invstep</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="mf">1.0</span><span class="o">/</span><span class="n">steps</span><span class="p">)</span><span class="o">*</span><span class="n">hrep</span><span class="p">,</span><span class="w"> </span><span class="n">pr</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">2</span><span class="o">*</span><span class="n">M_PI</span><span class="o">/</span><span class="n">steps</span><span class="p">;</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGL</span><span class="o">/</span><span class="n">GSd3d</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="k">const</span><span class="w"> </span><span class="kt">double</span><span class="w"> </span><span class="n">cx</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="n">x1</span><span class="o">+</span><span class="n">x2</span><span class="p">)</span><span class="o">/</span><span class="mi">2</span><span class="p">,</span><span class="w"> </span><span class="n">cy</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="n">y1</span><span class="o">+</span><span class="n">y2</span><span class="p">)</span><span class="o">/</span><span class="mi">2</span><span class="p">,</span><span class="w"> </span><span class="n">rx</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="n">x2</span><span class="o">-</span><span class="n">x1</span><span class="p">)</span><span class="o">/</span><span class="mi">2</span><span class="p">,</span><span class="w"> </span><span class="n">ry</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="n">y2</span><span class="o">-</span><span class="n">y1</span><span class="p">)</span><span class="o">/</span><span class="mi">2</span><span class="p">,</span><span class="w"> </span><span class="n">invstep</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="mf">1.0</span><span class="o">/</span><span class="n">steps</span><span class="p">)</span><span class="o">*</span><span class="n">hrep</span><span class="p">,</span><span class="w"> </span><span class="n">pr</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">2</span><span class="o">*</span><span class="n">M_PI</span><span class="o">/</span><span class="n">steps</span><span class="p">;</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGL</span><span class="o">/</span><span class="n">GSd3d</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="k">const</span><span class="w"> </span><span class="kt">double</span><span class="w"> </span><span class="n">cx</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="n">x1</span><span class="o">+</span><span class="n">x2</span><span class="p">)</span><span class="o">/</span><span class="mi">2</span><span class="p">,</span><span class="w"> </span><span class="n">cy</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="n">y1</span><span class="o">+</span><span class="n">y2</span><span class="p">)</span><span class="o">/</span><span class="mi">2</span><span class="p">,</span><span class="w"> </span><span class="n">cz</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="n">z1</span><span class="o">+</span><span class="n">z2</span><span class="p">)</span><span class="o">/</span><span class="mi">2</span><span class="p">,</span><span class="w"> </span><span class="n">rx</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="n">x2</span><span class="o">-</span><span class="n">x1</span><span class="p">)</span><span class="o">/</span><span class="mi">2</span><span class="p">,</span><span class="w"> </span><span class="n">ry</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="n">y2</span><span class="o">-</span><span class="n">y1</span><span class="p">)</span><span class="o">/</span><span class="mi">2</span><span class="p">,</span><span class="w"> </span><span class="n">rz</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="n">z2</span><span class="o">-</span><span class="n">z1</span><span class="p">)</span><span class="o">/</span><span class="mi">2</span><span class="p">,</span><span class="w"> </span><span class="n">invstep</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="mf">1.0</span><span class="o">/</span><span class="n">steps</span><span class="p">)</span><span class="o">*</span><span class="n">hrep</span><span class="p">,</span><span class="w"> </span><span class="n">invstep2</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="mf">1.0</span><span class="o">/</span><span class="n">zsteps</span><span class="p">)</span><span class="o">*</span><span class="n">vrep</span><span class="p">,</span><span class="w"> </span><span class="n">pr</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">2</span><span class="o">*</span><span class="n">M_PI</span><span class="o">/</span><span class="n">steps</span><span class="p">,</span><span class="w"> </span><span class="n">qr</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">M_PI</span><span class="o">/</span><span class="n">zsteps</span><span class="p">;</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGL</span><span class="o">/</span><span class="n">GSd3d</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">b</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">qr</span><span class="o">-</span><span class="n">M_PI</span><span class="o">/</span><span class="mi">2</span><span class="p">;</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGL</span><span class="o">/</span><span class="n">GSd3d</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="k">const</span><span class="w"> </span><span class="kt">double</span><span class="w"> </span><span class="n">cx</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="n">x1</span><span class="o">+</span><span class="n">x2</span><span class="p">)</span><span class="o">/</span><span class="mi">2</span><span class="p">,</span><span class="w"> </span><span class="n">cy</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="n">y1</span><span class="o">+</span><span class="n">y2</span><span class="p">)</span><span class="o">/</span><span class="mi">2</span><span class="p">,</span><span class="w"> </span><span class="n">rx</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="n">x2</span><span class="o">-</span><span class="n">x1</span><span class="p">)</span><span class="o">/</span><span class="mi">2</span><span class="p">,</span><span class="w"> </span><span class="n">ry</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="n">y2</span><span class="o">-</span><span class="n">y1</span><span class="p">)</span><span class="o">/</span><span class="mi">2</span><span class="p">,</span><span class="w"> </span><span class="n">invstep</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="mf">1.0</span><span class="o">/</span><span class="n">steps</span><span class="p">)</span><span class="o">*</span><span class="n">hrep</span><span class="p">,</span><span class="w"> </span><span class="n">pr</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">2</span><span class="o">*</span><span class="n">M_PI</span><span class="o">/</span><span class="n">steps</span><span class="p">;</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGL</span><span class="o">/</span><span class="n">GSd3d</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="k">const</span><span class="w"> </span><span class="kt">double</span><span class="w"> </span><span class="n">cx</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="n">x1</span><span class="o">+</span><span class="n">x2</span><span class="p">)</span><span class="o">/</span><span class="mi">2</span><span class="p">,</span><span class="w"> </span><span class="n">cy</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="n">y1</span><span class="o">+</span><span class="n">y2</span><span class="p">)</span><span class="o">/</span><span class="mi">2</span><span class="p">,</span><span class="w"> </span><span class="n">rx</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="n">x2</span><span class="o">-</span><span class="n">x1</span><span class="p">)</span><span class="o">/</span><span class="mi">2</span><span class="p">,</span><span class="w"> </span><span class="n">ry</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="n">y2</span><span class="o">-</span><span class="n">y1</span><span class="p">)</span><span class="o">/</span><span class="mi">2</span><span class="p">,</span><span class="w"> </span><span class="n">invstep</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="mf">1.0</span><span class="o">/</span><span class="n">steps</span><span class="p">)</span><span class="o">*</span><span class="n">hrep</span><span class="p">,</span><span class="w"> </span><span class="n">pr</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">2</span><span class="o">*</span><span class="n">M_PI</span><span class="o">/</span><span class="n">steps</span><span class="p">;</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGL</span><span class="o">/</span><span class="n">GSd3d</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="k">const</span><span class="w"> </span><span class="kt">double</span><span class="w"> </span><span class="n">cx</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="n">x1</span><span class="o">+</span><span class="n">x2</span><span class="p">)</span><span class="o">/</span><span class="mi">2</span><span class="p">,</span><span class="w"> </span><span class="n">cy</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="n">y1</span><span class="o">+</span><span class="n">y2</span><span class="p">)</span><span class="o">/</span><span class="mi">2</span><span class="p">,</span><span class="w"> </span><span class="n">cz</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="n">z1</span><span class="o">+</span><span class="n">z2</span><span class="p">)</span><span class="o">/</span><span class="mi">2</span><span class="p">,</span><span class="w"> </span><span class="n">rx</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="n">x2</span><span class="o">-</span><span class="n">x1</span><span class="p">)</span><span class="o">/</span><span class="mi">2</span><span class="p">,</span><span class="w"> </span><span class="n">ry</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="n">y2</span><span class="o">-</span><span class="n">y1</span><span class="p">)</span><span class="o">/</span><span class="mi">2</span><span class="p">,</span><span class="w"> </span><span class="n">rz</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="n">z2</span><span class="o">-</span><span class="n">z1</span><span class="p">)</span><span class="o">/</span><span class="mi">2</span><span class="p">,</span><span class="w"> </span><span class="n">invstep</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="mf">1.0</span><span class="o">/</span><span class="n">steps</span><span class="p">)</span><span class="o">*</span><span class="n">hrep</span><span class="p">,</span><span class="w"> </span><span class="n">invstep2</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="mf">1.0</span><span class="o">/</span><span class="n">zsteps</span><span class="p">)</span><span class="o">*</span><span class="n">vrep</span><span class="p">,</span><span class="w"> </span><span class="n">pr</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">2</span><span class="o">*</span><span class="n">M_PI</span><span class="o">/</span><span class="n">steps</span><span class="p">,</span><span class="w"> </span><span class="n">qr</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">M_PI</span><span class="o">/</span><span class="n">zsteps</span><span class="p">;</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGL</span><span class="o">/</span><span class="n">GSd3d</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">b</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">qr</span><span class="o">-</span><span class="n">M_PI</span><span class="o">/</span><span class="mi">2</span><span class="p">;</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGL</span><span class="o">/</span><span class="n">GSfont</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">rot</span><span class="w"> </span><span class="o">*=</span><span class="w"> </span><span class="n">M_PI</span><span class="o">/</span><span class="mi">180</span><span class="p">;</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGL</span><span class="o">/</span><span class="n">GSfont</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">rot</span><span class="w"> </span><span class="o">*=</span><span class="w"> </span><span class="n">M_PI</span><span class="o">/</span><span class="mi">180</span><span class="p">;</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGL</span><span class="o">/</span><span class="n">GSfont</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">rot</span><span class="w"> </span><span class="o">*=</span><span class="w"> </span><span class="n">M_PI</span><span class="o">/</span><span class="mi">180</span><span class="p">;</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGL</span><span class="o">/</span><span class="n">GSfont</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">rot</span><span class="w"> </span><span class="o">*=</span><span class="w"> </span><span class="n">M_PI</span><span class="o">/</span><span class="mi">180</span><span class="p">;</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGL</span><span class="o">/</span><span class="n">GSsprite</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">rot</span><span class="w"> </span><span class="o">*=</span><span class="w"> </span><span class="n">M_PI</span><span class="o">/</span><span class="mi">180</span><span class="p">;</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGL</span><span class="o">/</span><span class="n">GSsprite</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">ulcx</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">x</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="n">xscale</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">spr2d</span><span class="o">-&gt;</span><span class="n">xoffset</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">cos</span><span class="p">(</span><span class="n">rot</span><span class="p">)</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">yscale</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">spr2d</span><span class="o">-&gt;</span><span class="n">yoffset</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">cos</span><span class="p">(</span><span class="n">M_PI</span><span class="o">/</span><span class="mi">2</span><span class="o">+</span><span class="n">rot</span><span class="p">),</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGL</span><span class="o">/</span><span class="n">GSsprite</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">ulcy</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">y</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">xscale</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">spr2d</span><span class="o">-&gt;</span><span class="n">xoffset</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">sin</span><span class="p">(</span><span class="n">rot</span><span class="p">)</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="n">yscale</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">spr2d</span><span class="o">-&gt;</span><span class="n">yoffset</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">sin</span><span class="p">(</span><span class="n">M_PI</span><span class="o">/</span><span class="mi">2</span><span class="o">+</span><span class="n">rot</span><span class="p">);</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGL</span><span class="o">/</span><span class="n">GSsprite</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="k">const</span><span class="w"> </span><span class="kt">double</span><span class="w"> </span><span class="n">mpr</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">3</span><span class="o">*</span><span class="n">M_PI</span><span class="o">/</span><span class="mi">2</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">rot</span><span class="p">;</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGL</span><span class="o">/</span><span class="n">GSsprite</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">rot</span><span class="w"> </span><span class="o">*=</span><span class="w"> </span><span class="n">M_PI</span><span class="o">/</span><span class="mi">180</span><span class="p">;</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGL</span><span class="o">/</span><span class="n">GSsprite</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">ulcx</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">x</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">xscale</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">cos</span><span class="p">(</span><span class="n">M_PI</span><span class="o">+</span><span class="n">rot</span><span class="p">)</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">yscale</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">cos</span><span class="p">(</span><span class="n">M_PI</span><span class="o">/</span><span class="mi">2</span><span class="o">+</span><span class="n">rot</span><span class="p">),</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGL</span><span class="o">/</span><span class="n">GSsprite</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">ulcy</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">y</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="n">yscale</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">sin</span><span class="p">(</span><span class="n">M_PI</span><span class="o">+</span><span class="n">rot</span><span class="p">)</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="n">yscale</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">sin</span><span class="p">(</span><span class="n">M_PI</span><span class="o">/</span><span class="mi">2</span><span class="o">+</span><span class="n">rot</span><span class="p">);</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGL</span><span class="o">/</span><span class="n">GSsprite</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">ulcx</span><span class="w"> </span><span class="o">+=</span><span class="w"> </span><span class="n">h</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">cos</span><span class="p">(</span><span class="mi">3</span><span class="o">*</span><span class="n">M_PI</span><span class="o">/</span><span class="mi">2</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">rot</span><span class="p">);</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGL</span><span class="o">/</span><span class="n">GSsprite</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">ulcy</span><span class="w"> </span><span class="o">-=</span><span class="w"> </span><span class="n">h</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">sin</span><span class="p">(</span><span class="mi">3</span><span class="o">*</span><span class="n">M_PI</span><span class="o">/</span><span class="mi">2</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">rot</span><span class="p">);</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGL</span><span class="o">/</span><span class="n">GSstdraw</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">angle</span><span class="w"> </span><span class="o">*=</span><span class="w"> </span><span class="n">M_PI</span><span class="o">/</span><span class="mi">180</span><span class="p">;</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGL</span><span class="o">/</span><span class="n">GSstdraw</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="kt">double</span><span class="w"> </span><span class="n">pr</span><span class="o">=</span><span class="mi">2</span><span class="o">*</span><span class="n">M_PI</span><span class="o">/</span><span class="n">enigma</span><span class="o">::</span><span class="n">circleprecision</span><span class="p">;</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGL</span><span class="o">/</span><span class="n">GSstdraw</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="k">for</span><span class="p">(</span><span class="kt">double</span><span class="w"> </span><span class="n">i</span><span class="o">=</span><span class="mi">0</span><span class="p">;</span><span class="n">i</span><span class="o">&lt;=</span><span class="mi">2</span><span class="o">*</span><span class="n">M_PI</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="o">+=</span><span class="n">pr</span><span class="p">)</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGL</span><span class="o">/</span><span class="n">GSstdraw</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="k">for</span><span class="p">(</span><span class="kt">double</span><span class="w"> </span><span class="n">i</span><span class="o">=</span><span class="mi">0</span><span class="p">;</span><span class="n">i</span><span class="o">&lt;=</span><span class="mi">2</span><span class="o">*</span><span class="n">M_PI</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="o">+=</span><span class="n">pr</span><span class="p">)</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGL</span><span class="o">/</span><span class="n">GSstdraw</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="kt">float</span><span class="w"> </span><span class="n">pr</span><span class="o">=</span><span class="mi">2</span><span class="o">*</span><span class="n">M_PI</span><span class="o">/</span><span class="n">enigma</span><span class="o">::</span><span class="n">circleprecision</span><span class="p">;</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGL</span><span class="o">/</span><span class="n">GSstdraw</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="k">for</span><span class="p">(</span><span class="kt">float</span><span class="w"> </span><span class="n">i</span><span class="o">=</span><span class="n">pr</span><span class="p">;</span><span class="n">i</span><span class="o">&lt;</span><span class="mi">2</span><span class="o">*</span><span class="n">M_PI</span><span class="p">;</span><span class="n">i</span><span class="o">+=</span><span class="n">pr</span><span class="p">)</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGL</span><span class="o">/</span><span class="n">GSstdraw</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">pr</span><span class="o">=</span><span class="mi">2</span><span class="o">*</span><span class="n">M_PI</span><span class="o">/</span><span class="n">enigma</span><span class="o">::</span><span class="n">circleprecision</span><span class="p">;</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGL</span><span class="o">/</span><span class="n">GSstdraw</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="k">for</span><span class="p">(</span><span class="kt">float</span><span class="w"> </span><span class="n">i</span><span class="o">=</span><span class="n">pr</span><span class="p">;</span><span class="n">i</span><span class="o">&lt;</span><span class="n">M_PI</span><span class="p">;</span><span class="n">i</span><span class="o">+=</span><span class="n">pr</span><span class="p">)</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGL</span><span class="o">/</span><span class="n">GSstdraw</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="k">for</span><span class="p">(</span><span class="kt">float</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">pr</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">&lt;</span><span class="w"> </span><span class="n">M_PI</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">+=</span><span class="w"> </span><span class="n">pr</span><span class="p">)</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGL</span><span class="o">/</span><span class="n">GSstdraw</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">pr</span><span class="o">=</span><span class="mi">2</span><span class="o">*</span><span class="n">M_PI</span><span class="o">/</span><span class="n">enigma</span><span class="o">::</span><span class="n">circleprecision</span><span class="p">;</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGL</span><span class="o">/</span><span class="n">GSstdraw</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="k">for</span><span class="p">(</span><span class="n">i</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">pr</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">&lt;</span><span class="w"> </span><span class="mi">2</span><span class="o">*</span><span class="n">M_PI</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">+=</span><span class="w"> </span><span class="n">pr</span><span class="p">)</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGL</span><span class="o">/</span><span class="n">GSstdraw</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="kt">float</span><span class="w"> </span><span class="n">yc</span><span class="o">=</span><span class="n">vr</span><span class="o">*</span><span class="n">cos</span><span class="p">((</span><span class="n">M_PI</span><span class="o">/</span><span class="mi">2</span><span class="p">)</span><span class="o">/</span><span class="n">hr</span><span class="o">*</span><span class="n">xc</span><span class="p">);</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGL</span><span class="o">/</span><span class="n">GSstdraw</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">fabs</span><span class="p">((</span><span class="n">dir</span><span class="o">&lt;</span><span class="mi">0</span><span class="o">?</span><span class="n">dir</span><span class="o">+</span><span class="mi">2</span><span class="o">*</span><span class="n">M_PI</span><span class="o">:</span><span class="n">dir</span><span class="p">)</span><span class="o">-</span><span class="p">(</span><span class="n">at</span><span class="o">&lt;</span><span class="mi">0</span><span class="o">?</span><span class="n">at</span><span class="o">+</span><span class="mi">2</span><span class="o">*</span><span class="n">M_PI</span><span class="o">:</span><span class="n">at</span><span class="p">))</span><span class="w"> </span><span class="o">&lt;</span><span class="w"> </span><span class="mf">0.01</span><span class="p">){</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGL</span><span class="o">/</span><span class="n">GSsurface</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">rot</span><span class="w"> </span><span class="o">*=</span><span class="w"> </span><span class="n">M_PI</span><span class="o">/</span><span class="mi">180</span><span class="p">;</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGL</span><span class="o">/</span><span class="n">GSsurface</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="kt">float</span><span class="w"> </span><span class="n">ulcx</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">x</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">xscale</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">cos</span><span class="p">(</span><span class="n">M_PI</span><span class="o">+</span><span class="n">rot</span><span class="p">)</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">yscale</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">cos</span><span class="p">(</span><span class="n">M_PI</span><span class="o">/</span><span class="mi">2</span><span class="o">+</span><span class="n">rot</span><span class="p">),</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGL</span><span class="o">/</span><span class="n">GSsurface</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">ulcy</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">y</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="n">yscale</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">sin</span><span class="p">(</span><span class="n">M_PI</span><span class="o">+</span><span class="n">rot</span><span class="p">)</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="n">yscale</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">sin</span><span class="p">(</span><span class="n">M_PI</span><span class="o">/</span><span class="mi">2</span><span class="o">+</span><span class="n">rot</span><span class="p">);</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGL</span><span class="o">/</span><span class="n">GSsurface</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">ulcx</span><span class="w"> </span><span class="o">+=</span><span class="w"> </span><span class="n">h</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">cos</span><span class="p">(</span><span class="mi">3</span><span class="o">*</span><span class="n">M_PI</span><span class="o">/</span><span class="mi">2</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">rot</span><span class="p">);</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGL</span><span class="o">/</span><span class="n">GSsurface</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">ulcy</span><span class="w"> </span><span class="o">-=</span><span class="w"> </span><span class="n">h</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">sin</span><span class="p">(</span><span class="mi">3</span><span class="o">*</span><span class="n">M_PI</span><span class="o">/</span><span class="mi">2</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">rot</span><span class="p">);</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGL</span><span class="o">/</span><span class="n">GSsurface</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">rot</span><span class="w"> </span><span class="o">*=</span><span class="w"> </span><span class="n">M_PI</span><span class="o">/</span><span class="mi">180</span><span class="p">;</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGL</span><span class="o">/</span><span class="n">GSsurface</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="kt">float</span><span class="w"> </span><span class="n">ulcx</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">x</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">xscale</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">cos</span><span class="p">(</span><span class="n">M_PI</span><span class="o">+</span><span class="n">rot</span><span class="p">)</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">yscale</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">cos</span><span class="p">(</span><span class="n">M_PI</span><span class="o">/</span><span class="mi">2</span><span class="o">+</span><span class="n">rot</span><span class="p">),</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGL</span><span class="o">/</span><span class="n">GSsurface</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">ulcy</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">y</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="n">yscale</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">sin</span><span class="p">(</span><span class="n">M_PI</span><span class="o">+</span><span class="n">rot</span><span class="p">)</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="n">yscale</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">sin</span><span class="p">(</span><span class="n">M_PI</span><span class="o">/</span><span class="mi">2</span><span class="o">+</span><span class="n">rot</span><span class="p">);</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGL</span><span class="o">/</span><span class="n">GSsurface</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">ulcx</span><span class="w"> </span><span class="o">+=</span><span class="w"> </span><span class="n">h</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">cos</span><span class="p">(</span><span class="mi">3</span><span class="o">*</span><span class="n">M_PI</span><span class="o">/</span><span class="mi">2</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">rot</span><span class="p">);</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Graphics_Systems</span><span class="o">/</span><span class="n">OpenGL</span><span class="o">/</span><span class="n">GSsurface</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">ulcy</span><span class="w"> </span><span class="o">-=</span><span class="w"> </span><span class="n">h</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">sin</span><span class="p">(</span><span class="mi">3</span><span class="o">*</span><span class="n">M_PI</span><span class="o">/</span><span class="mi">2</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">rot</span><span class="p">);</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Universal_System</span><span class="o">/</span><span class="n">Extensions</span><span class="o">/</span><span class="n">MotionPlanning</span><span class="o">/</span><span class="n">mp_movement</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">goaldir</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">atan2</span><span class="p">(</span><span class="n">inst</span><span class="o">-&gt;</span><span class="n">y</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="n">y</span><span class="p">,</span><span class="w"> </span><span class="n">x</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="n">inst</span><span class="o">-&gt;</span><span class="n">x</span><span class="p">)</span><span class="o">*</span><span class="p">(</span><span class="mi">180</span><span class="o">/</span><span class="n">M_PI</span><span class="p">);</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Universal_System</span><span class="o">/</span><span class="n">Extensions</span><span class="o">/</span><span class="n">MotionPlanning</span><span class="o">/</span><span class="n">mp_movement</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">xstep</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">cos</span><span class="p">(</span><span class="n">dir</span><span class="o">*</span><span class="n">M_PI</span><span class="o">/</span><span class="mi">180</span><span class="p">)</span><span class="o">*</span><span class="n">stepsize</span><span class="p">;</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Universal_System</span><span class="o">/</span><span class="n">Extensions</span><span class="o">/</span><span class="n">MotionPlanning</span><span class="o">/</span><span class="n">mp_movement</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">ystep</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="o">-</span><span class="n">sin</span><span class="p">(</span><span class="n">dir</span><span class="o">*</span><span class="n">M_PI</span><span class="o">/</span><span class="mi">180</span><span class="p">)</span><span class="o">*</span><span class="n">stepsize</span><span class="p">;</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Universal_System</span><span class="o">/</span><span class="n">Extensions</span><span class="o">/</span><span class="n">MotionPlanning</span><span class="o">/</span><span class="n">mp_movement</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">xstep</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">cos</span><span class="p">(</span><span class="n">dir</span><span class="o">*</span><span class="n">M_PI</span><span class="o">/</span><span class="mi">180</span><span class="p">)</span><span class="o">*</span><span class="n">stepsize</span><span class="p">;</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Universal_System</span><span class="o">/</span><span class="n">Extensions</span><span class="o">/</span><span class="n">MotionPlanning</span><span class="o">/</span><span class="n">mp_movement</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">ystep</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="o">-</span><span class="n">sin</span><span class="p">(</span><span class="n">dir</span><span class="o">*</span><span class="n">M_PI</span><span class="o">/</span><span class="mi">180</span><span class="p">)</span><span class="o">*</span><span class="n">stepsize</span><span class="p">;</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Universal_System</span><span class="o">/</span><span class="n">Extensions</span><span class="o">/</span><span class="n">MotionPlanning</span><span class="o">/</span><span class="n">mp_movement</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">xstep</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">cos</span><span class="p">(</span><span class="n">dir</span><span class="o">*</span><span class="n">M_PI</span><span class="o">/</span><span class="mi">180</span><span class="p">)</span><span class="o">*</span><span class="n">stepsize</span><span class="p">;</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Universal_System</span><span class="o">/</span><span class="n">Extensions</span><span class="o">/</span><span class="n">MotionPlanning</span><span class="o">/</span><span class="n">mp_movement</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">ystep</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="o">-</span><span class="n">sin</span><span class="p">(</span><span class="n">dir</span><span class="o">*</span><span class="n">M_PI</span><span class="o">/</span><span class="mi">180</span><span class="p">)</span><span class="o">*</span><span class="n">stepsize</span><span class="p">;</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Universal_System</span><span class="o">/</span><span class="n">Extensions</span><span class="o">/</span><span class="n">MotionPlanning</span><span class="o">/</span><span class="n">mp_movement</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">goaldir</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">atan2</span><span class="p">(</span><span class="n">pathpy</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="n">y</span><span class="p">,</span><span class="w"> </span><span class="n">x</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="n">pathpx</span><span class="p">)</span><span class="o">*</span><span class="p">(</span><span class="mi">180</span><span class="o">/</span><span class="n">M_PI</span><span class="p">);</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Universal_System</span><span class="o">/</span><span class="n">Extensions</span><span class="o">/</span><span class="n">MotionPlanning</span><span class="o">/</span><span class="n">mp_movement</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">xstep</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">cos</span><span class="p">(</span><span class="n">dir</span><span class="o">*</span><span class="n">M_PI</span><span class="o">/</span><span class="mi">180</span><span class="p">)</span><span class="o">*</span><span class="n">stepsize</span><span class="p">;</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Universal_System</span><span class="o">/</span><span class="n">Extensions</span><span class="o">/</span><span class="n">MotionPlanning</span><span class="o">/</span><span class="n">mp_movement</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">ystep</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="o">-</span><span class="n">sin</span><span class="p">(</span><span class="n">dir</span><span class="o">*</span><span class="n">M_PI</span><span class="o">/</span><span class="mi">180</span><span class="p">)</span><span class="o">*</span><span class="n">stepsize</span><span class="p">;</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Universal_System</span><span class="o">/</span><span class="n">Extensions</span><span class="o">/</span><span class="n">MotionPlanning</span><span class="o">/</span><span class="n">mp_movement</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">xstep</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">cos</span><span class="p">(</span><span class="n">dir</span><span class="o">*</span><span class="n">M_PI</span><span class="o">/</span><span class="mi">180</span><span class="p">)</span><span class="o">*</span><span class="n">stepsize</span><span class="p">;</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Universal_System</span><span class="o">/</span><span class="n">Extensions</span><span class="o">/</span><span class="n">MotionPlanning</span><span class="o">/</span><span class="n">mp_movement</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">ystep</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="o">-</span><span class="n">sin</span><span class="p">(</span><span class="n">dir</span><span class="o">*</span><span class="n">M_PI</span><span class="o">/</span><span class="mi">180</span><span class="p">)</span><span class="o">*</span><span class="n">stepsize</span><span class="p">;</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Universal_System</span><span class="o">/</span><span class="n">Extensions</span><span class="o">/</span><span class="n">MotionPlanning</span><span class="o">/</span><span class="n">mp_movement</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">xstep</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">cos</span><span class="p">(</span><span class="n">dir</span><span class="o">*</span><span class="n">M_PI</span><span class="o">/</span><span class="mi">180</span><span class="p">)</span><span class="o">*</span><span class="n">stepsize</span><span class="p">;</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Universal_System</span><span class="o">/</span><span class="n">Extensions</span><span class="o">/</span><span class="n">MotionPlanning</span><span class="o">/</span><span class="n">mp_movement</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">ystep</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="o">-</span><span class="n">sin</span><span class="p">(</span><span class="n">dir</span><span class="o">*</span><span class="n">M_PI</span><span class="o">/</span><span class="mi">180</span><span class="p">)</span><span class="o">*</span><span class="n">stepsize</span><span class="p">;</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Universal_System</span><span class="o">/</span><span class="n">Extensions</span><span class="o">/</span><span class="n">MotionPlanning</span><span class="o">/</span><span class="n">mp_movement</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">inst</span><span class="o">-&gt;</span><span class="n">direction</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">atan2</span><span class="p">(</span><span class="n">inst</span><span class="o">-&gt;</span><span class="n">y</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="n">y</span><span class="p">,</span><span class="w"> </span><span class="n">x</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="n">inst</span><span class="o">-&gt;</span><span class="n">x</span><span class="p">)</span><span class="o">*</span><span class="p">(</span><span class="mi">180</span><span class="o">/</span><span class="n">M_PI</span><span class="p">);</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Universal_System</span><span class="o">/</span><span class="n">Extensions</span><span class="o">/</span><span class="n">MotionPlanning</span><span class="o">/</span><span class="n">mp_movement</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">xstep</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">cos</span><span class="p">(</span><span class="n">inst</span><span class="o">-&gt;</span><span class="n">direction</span><span class="o">*</span><span class="n">M_PI</span><span class="o">/</span><span class="mi">180</span><span class="p">)</span><span class="o">*</span><span class="n">stepsize</span><span class="p">;</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Universal_System</span><span class="o">/</span><span class="n">Extensions</span><span class="o">/</span><span class="n">MotionPlanning</span><span class="o">/</span><span class="n">mp_movement</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">ystep</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="o">-</span><span class="n">sin</span><span class="p">(</span><span class="n">inst</span><span class="o">-&gt;</span><span class="n">direction</span><span class="o">*</span><span class="n">M_PI</span><span class="o">/</span><span class="mi">180</span><span class="p">)</span><span class="o">*</span><span class="n">stepsize</span><span class="p">;</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Universal_System</span><span class="o">/</span><span class="n">Extensions</span><span class="o">/</span><span class="n">MotionPlanning</span><span class="o">/</span><span class="n">mp_movement</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="kt">double</span><span class="w"> </span><span class="n">pathpx</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">inst</span><span class="o">-&gt;</span><span class="n">x</span><span class="p">,</span><span class="w"> </span><span class="n">pathpy</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">inst</span><span class="o">-&gt;</span><span class="n">y</span><span class="p">,</span><span class="w"> </span><span class="n">pathpdir</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">atan2</span><span class="p">(</span><span class="n">pathpy</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="n">y</span><span class="p">,</span><span class="w"> </span><span class="n">x</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="n">pathpx</span><span class="p">)</span><span class="o">*</span><span class="p">(</span><span class="mi">180</span><span class="o">/</span><span class="n">M_PI</span><span class="p">);</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Universal_System</span><span class="o">/</span><span class="n">Extensions</span><span class="o">/</span><span class="n">MotionPlanning</span><span class="o">/</span><span class="n">mp_movement</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">xstep</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">cos</span><span class="p">(</span><span class="n">pathpdir</span><span class="o">*</span><span class="n">M_PI</span><span class="o">/</span><span class="mi">180</span><span class="p">)</span><span class="o">*</span><span class="n">stepsize</span><span class="p">;</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Universal_System</span><span class="o">/</span><span class="n">Extensions</span><span class="o">/</span><span class="n">MotionPlanning</span><span class="o">/</span><span class="n">mp_movement</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">ystep</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="o">-</span><span class="n">sin</span><span class="p">(</span><span class="n">pathpdir</span><span class="o">*</span><span class="n">M_PI</span><span class="o">/</span><span class="mi">180</span><span class="p">)</span><span class="o">*</span><span class="n">stepsize</span><span class="p">;</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Audio_Systems</span><span class="o">/</span><span class="n">FMODAudio</span><span class="o">/</span><span class="n">FMOD_main</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">pi</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">0</span><span class="p">;</span><span class="w"></span> <span class="n">ENIGMAsystem</span><span class="o">/</span><span class="n">SHELL</span><span class="o">/</span><span class="n">Audio_Systems</span><span class="o">/</span><span class="n">FMODAudio</span><span class="o">/</span><span class="n">FMOD_main</span><span class="p">.</span><span class="n">cpp</span><span class="o">:</span><span class="w"> </span><span class="n">FMOD_Geometry_AddPolygon</span><span class="p">(</span><span class="n">g</span><span class="p">,</span><span class="w"> </span><span class="mi">1</span><span class="p">,</span><span class="w"> </span><span class="mi">1</span><span class="p">,</span><span class="w"> </span><span class="mi">1</span><span class="p">,</span><span class="w"> </span><span class="mi">4</span><span class="p">,</span><span class="w"> </span><span class="o">&amp;</span><span class="n">cube</span><span class="w"> </span><span class="p">[</span><span class="mi">4</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">i</span><span class="p">],</span><span class="w"> </span><span class="o">&amp;</span><span class="n">pi</span><span class="p">);</span><span class="w"></span> <span class="n">CompilerSource</span><span class="o">/</span><span class="n">compiler</span><span class="o">/</span><span class="n">event_reader</span><span class="o">/</span><span class="n">events</span><span class="p">.</span><span class="n">res</span><span class="o">:</span><span class="w"> </span><span class="n">vspeed</span><span class="w"> </span><span class="o">+=</span><span class="w"> </span><span class="n">sin</span><span class="p">(</span><span class="n">gravity_direction</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">pi</span><span class="o">/</span><span class="mi">180</span><span class="p">),</span><span class="w"></span> <span class="n">CompilerSource</span><span class="o">/</span><span class="n">compiler</span><span class="o">/</span><span class="n">event_reader</span><span class="o">/</span><span class="n">events</span><span class="p">.</span><span class="n">res</span><span class="o">:</span><span class="w"> </span><span class="n">hspeed</span><span class="w"> </span><span class="o">+=</span><span class="w"> </span><span class="n">cos</span><span class="p">(</span><span class="n">gravity_direction</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">pi</span><span class="o">/</span><span class="mi">180</span><span class="p">);</span><span class="w"></span> </code></pre></div> </div>Hugh GreeneFri, 20 Jan 2023 12:22:35 -0000https://sourceforge.net787225c6169677e32968b4fcb8d572fde1d8f7b2