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        <string notr="true">abs(z.z)</string>
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        <string>Beta angle offset1:</string>
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     </item>
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        <string>Theta Scale:</string>
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     <item row="11" column="0" colspan="2">
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     <item row="1" column="0">
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       <property name="text">
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     <item row="10" column="0">
      <widget class="QLabel" name="label_294">
       <property name="text">
        <string>Bulb Power:</string>
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     <item row="13" column="0">
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       <property name="text">
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     <item row="8" column="0">
      <widget class="QLabel" name="label_296">
       <property name="text">
        <string>Beta angle offset2:</string>
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       <property name="decimals">
        <number>6</number>
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       <property name="maximum">
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     </item>
     <item row="13" column="1">
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     </item>
     <item row="4" column="0" colspan="2">
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        <string>Enable cos-tan mode (disable sin-tan2 mode)</string>
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     <item row="9" column="0">
      <widget class="QLabel" name="label_297">
       <property name="text">
        <string>Phi Scale:</string>
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     </item>
     <item row="1" column="1">
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       <property name="prefix">
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       </property>
       <property name="suffix">
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       </property>
       <property name="decimals">
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       <property name="minimum">
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       </property>
       <property name="maximum">
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       </property>
       <property name="singleStep">
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   <item>
    <widget class="MyGroupBox" name="groupCheck_analyticDE_enabled_false">
     <property name="toolTip">
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     <property name="title">
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     <property name="checkable">
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        <property name="spacing">
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        <item row="2" column="1">
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           <string>Analytic DE offset2:</string>
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          <property name="text">
           <string>Analytic DE offset1:</string>
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          </property>
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        <item row="0" column="1">
         <widget class="QLabel" name="label_176">
          <property name="text">
           <string>Analytic DE scale1:</string>
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   <item>
    <widget class="MyGroupBox" name="groupCheck_info">
     <property name="title">
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     <property name="flat">
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     <property name="checkable">
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      <property name="spacing">
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      <property name="leftMargin">
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      <property name="topMargin">
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      <property name="bottomMargin">
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         <string notr="true">&lt;p&gt;mandelbulbBermarte&lt;br&gt;&lt;br&gt;abs() version of Mandelbulb Kali modified by visual.bermarte&lt;/p&gt;&lt;table&gt;
&lt;tr&gt;&lt;th&gt;Reference&lt;/th&gt;&lt;td&gt;&lt;a href=&quot;http://www.fractalforums.com/theory/mandelbulb-variant/&quot;&gt;http://www.fractalforums.com/theory/mandelbulb-variant/&lt;br&gt;
&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;
&lt;br&gt;&lt;b&gt;Examples using this formula&lt;/b&gt;&lt;br&gt;mandelbulb_bermarte 001.fract&lt;br&gt;Sebastian Jennen collection - license Creative Commons  (CC-BY 4.0)/inverse-reciprocal-iqbulb mechanical-ribs.fract&lt;h3&gt;Code&lt;/h3&gt;</string>
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        <property name="text">
         <string notr="true">&lt;body style=&quot;background-color:#fff5ee&quot;&gt;
&lt;pre style=&quot;color:#000000; background-color:#fff5ee;  font-family:'Courier New',monospace;&quot;&gt;&lt;span style=&quot;color:#2e8b57; font-weight:bold&quot;&gt;void&lt;/span&gt; &lt;span style=&quot;color:#00008f&quot;&gt;MandelbulbBermarteIteration&lt;/span&gt;&lt;span style=&quot;color:#676767&quot;&gt;(&lt;/span&gt;CVector4 &lt;span style=&quot;color:#676767&quot;&gt;&amp;amp;&lt;/span&gt;z&lt;span style=&quot;color:#676767&quot;&gt;,&lt;/span&gt; &lt;span style=&quot;color:#2e8b57; font-weight:bold&quot;&gt;const&lt;/span&gt; sFractal &lt;span style=&quot;color:#676767&quot;&gt;*&lt;/span&gt;fractal&lt;span style=&quot;color:#676767&quot;&gt;,&lt;/span&gt; sExtendedAux &lt;span style=&quot;color:#676767&quot;&gt;&amp;amp;&lt;/span&gt;aux&lt;span style=&quot;color:#676767&quot;&gt;)&lt;/span&gt;
&lt;span style=&quot;color:#676767&quot;&gt;{&lt;/span&gt;
  &lt;span style=&quot;color:#2e8b57; font-weight:bold&quot;&gt;if&lt;/span&gt; &lt;span style=&quot;color:#676767&quot;&gt;(&lt;/span&gt;fractal&lt;span style=&quot;color:#676767&quot;&gt;-&amp;gt;&lt;/span&gt;transformCommon&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;functionEnabledAxFalse&lt;span style=&quot;color:#676767&quot;&gt;)&lt;/span&gt; z&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;x &lt;span style=&quot;color:#676767&quot;&gt;=&lt;/span&gt; &lt;span style=&quot;color:#00008f&quot;&gt;fabs&lt;/span&gt;&lt;span style=&quot;color:#676767&quot;&gt;(&lt;/span&gt;z&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;x&lt;span style=&quot;color:#676767&quot;&gt;);&lt;/span&gt;
  &lt;span style=&quot;color:#2e8b57; font-weight:bold&quot;&gt;if&lt;/span&gt; &lt;span style=&quot;color:#676767&quot;&gt;(&lt;/span&gt;fractal&lt;span style=&quot;color:#676767&quot;&gt;-&amp;gt;&lt;/span&gt;transformCommon&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;functionEnabledAyFalse&lt;span style=&quot;color:#676767&quot;&gt;)&lt;/span&gt; z&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;y &lt;span style=&quot;color:#676767&quot;&gt;=&lt;/span&gt; &lt;span style=&quot;color:#00008f&quot;&gt;fabs&lt;/span&gt;&lt;span style=&quot;color:#676767&quot;&gt;(&lt;/span&gt;z&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;y&lt;span style=&quot;color:#676767&quot;&gt;);&lt;/span&gt;
  &lt;span style=&quot;color:#2e8b57; font-weight:bold&quot;&gt;if&lt;/span&gt; &lt;span style=&quot;color:#676767&quot;&gt;(&lt;/span&gt;fractal&lt;span style=&quot;color:#676767&quot;&gt;-&amp;gt;&lt;/span&gt;transformCommon&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;functionEnabledAzFalse&lt;span style=&quot;color:#676767&quot;&gt;)&lt;/span&gt; z&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;z &lt;span style=&quot;color:#676767&quot;&gt;=&lt;/span&gt; &lt;span style=&quot;color:#00008f&quot;&gt;fabs&lt;/span&gt;&lt;span style=&quot;color:#676767&quot;&gt;(&lt;/span&gt;z&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;z&lt;span style=&quot;color:#676767&quot;&gt;);&lt;/span&gt;

  &lt;span style=&quot;color:#2e8b57; font-weight:bold&quot;&gt;double&lt;/span&gt; th0&lt;span style=&quot;color:#676767&quot;&gt;;&lt;/span&gt;
  &lt;span style=&quot;color:#2e8b57; font-weight:bold&quot;&gt;double&lt;/span&gt; ph0&lt;span style=&quot;color:#676767&quot;&gt;;&lt;/span&gt;
  &lt;span style=&quot;color:#2e8b57; font-weight:bold&quot;&gt;double&lt;/span&gt; costh&lt;span style=&quot;color:#676767&quot;&gt;;&lt;/span&gt;
  &lt;span style=&quot;color:#2e8b57; font-weight:bold&quot;&gt;double&lt;/span&gt; sinth&lt;span style=&quot;color:#676767&quot;&gt;;&lt;/span&gt;
  &lt;span style=&quot;color:#2e8b57; font-weight:bold&quot;&gt;double&lt;/span&gt; zp&lt;span style=&quot;color:#676767&quot;&gt;;&lt;/span&gt;

  &lt;span style=&quot;color:#2e8b57; font-weight:bold&quot;&gt;if&lt;/span&gt; &lt;span style=&quot;color:#676767&quot;&gt;(&lt;/span&gt;fractal&lt;span style=&quot;color:#676767&quot;&gt;-&amp;gt;&lt;/span&gt;transformCommon&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;functionEnabledFalse&lt;span style=&quot;color:#676767&quot;&gt;)&lt;/span&gt;
  &lt;span style=&quot;color:#676767&quot;&gt;{&lt;/span&gt;
    th0 &lt;span style=&quot;color:#676767&quot;&gt;=&lt;/span&gt; &lt;span style=&quot;color:#00008f&quot;&gt;acos&lt;/span&gt;&lt;span style=&quot;color:#676767&quot;&gt;(&lt;/span&gt;z&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;z &lt;span style=&quot;color:#676767&quot;&gt;/&lt;/span&gt; aux&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;r&lt;span style=&quot;color:#676767&quot;&gt;) +&lt;/span&gt; fractal&lt;span style=&quot;color:#676767&quot;&gt;-&amp;gt;&lt;/span&gt;bulb&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;betaAngleOffset &lt;span style=&quot;color:#676767&quot;&gt;+&lt;/span&gt; &lt;span style=&quot;color:#ff1493&quot;&gt;1e-061&lt;/span&gt;&lt;span style=&quot;color:#676767&quot;&gt;;&lt;/span&gt; &lt;span style=&quot;color:#2929cc&quot;&gt;// MUST keep exception catch&lt;/span&gt;
    ph0 &lt;span style=&quot;color:#676767&quot;&gt;=&lt;/span&gt; &lt;span style=&quot;color:#00008f&quot;&gt;atan&lt;/span&gt;&lt;span style=&quot;color:#676767&quot;&gt;(&lt;/span&gt;z&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;y &lt;span style=&quot;color:#676767&quot;&gt;/&lt;/span&gt; z&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;x&lt;span style=&quot;color:#676767&quot;&gt;) +&lt;/span&gt; fractal&lt;span style=&quot;color:#676767&quot;&gt;-&amp;gt;&lt;/span&gt;bulb&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;alphaAngleOffset&lt;span style=&quot;color:#676767&quot;&gt;;&lt;/span&gt;
    th0 &lt;span style=&quot;color:#676767&quot;&gt;*=&lt;/span&gt; fractal&lt;span style=&quot;color:#676767&quot;&gt;-&amp;gt;&lt;/span&gt;transformCommon&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;pwr8 &lt;span style=&quot;color:#676767&quot;&gt;*&lt;/span&gt; fractal&lt;span style=&quot;color:#676767&quot;&gt;-&amp;gt;&lt;/span&gt;transformCommon&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;scaleA1&lt;span style=&quot;color:#676767&quot;&gt;;&lt;/span&gt;
    sinth &lt;span style=&quot;color:#676767&quot;&gt;=&lt;/span&gt; &lt;span style=&quot;color:#00008f&quot;&gt;sin&lt;/span&gt;&lt;span style=&quot;color:#676767&quot;&gt;(&lt;/span&gt;th0&lt;span style=&quot;color:#676767&quot;&gt;);&lt;/span&gt;
    z &lt;span style=&quot;color:#676767&quot;&gt;=&lt;/span&gt; aux&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;r &lt;span style=&quot;color:#676767&quot;&gt;*&lt;/span&gt; &lt;span style=&quot;color:#00008f&quot;&gt;CVector4&lt;/span&gt;&lt;span style=&quot;color:#676767&quot;&gt;(&lt;/span&gt;sinth &lt;span style=&quot;color:#676767&quot;&gt;*&lt;/span&gt; &lt;span style=&quot;color:#00008f&quot;&gt;cos&lt;/span&gt;&lt;span style=&quot;color:#676767&quot;&gt;(&lt;/span&gt;ph0&lt;span style=&quot;color:#676767&quot;&gt;),&lt;/span&gt; &lt;span style=&quot;color:#00008f&quot;&gt;sin&lt;/span&gt;&lt;span style=&quot;color:#676767&quot;&gt;(&lt;/span&gt;ph0&lt;span style=&quot;color:#676767&quot;&gt;) *&lt;/span&gt; sinth&lt;span style=&quot;color:#676767&quot;&gt;,&lt;/span&gt; &lt;span style=&quot;color:#00008f&quot;&gt;cos&lt;/span&gt;&lt;span style=&quot;color:#676767&quot;&gt;(&lt;/span&gt;th0&lt;span style=&quot;color:#676767&quot;&gt;),&lt;/span&gt; &lt;span style=&quot;color:#ff1493&quot;&gt;0.0&lt;/span&gt;&lt;span style=&quot;color:#676767&quot;&gt;);&lt;/span&gt;
  &lt;span style=&quot;color:#676767&quot;&gt;}&lt;/span&gt;
  &lt;span style=&quot;color:#2e8b57; font-weight:bold&quot;&gt;else&lt;/span&gt;
  &lt;span style=&quot;color:#676767&quot;&gt;{&lt;/span&gt;
    th0 &lt;span style=&quot;color:#676767&quot;&gt;=&lt;/span&gt; &lt;span style=&quot;color:#00008f&quot;&gt;asin&lt;/span&gt;&lt;span style=&quot;color:#676767&quot;&gt;(&lt;/span&gt;z&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;z &lt;span style=&quot;color:#676767&quot;&gt;/&lt;/span&gt; aux&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;r&lt;span style=&quot;color:#676767&quot;&gt;) +&lt;/span&gt; fractal&lt;span style=&quot;color:#676767&quot;&gt;-&amp;gt;&lt;/span&gt;bulb&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;betaAngleOffset &lt;span style=&quot;color:#676767&quot;&gt;+&lt;/span&gt; &lt;span style=&quot;color:#ff1493&quot;&gt;1e-061&lt;/span&gt;&lt;span style=&quot;color:#676767&quot;&gt;;&lt;/span&gt; &lt;span style=&quot;color:#2929cc&quot;&gt;// MUST keep exception catch&lt;/span&gt;
    ph0 &lt;span style=&quot;color:#676767&quot;&gt;=&lt;/span&gt; &lt;span style=&quot;color:#00008f&quot;&gt;atan2&lt;/span&gt;&lt;span style=&quot;color:#676767&quot;&gt;(&lt;/span&gt;z&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;y&lt;span style=&quot;color:#676767&quot;&gt;,&lt;/span&gt; z&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;x&lt;span style=&quot;color:#676767&quot;&gt;) +&lt;/span&gt; fractal&lt;span style=&quot;color:#676767&quot;&gt;-&amp;gt;&lt;/span&gt;bulb&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;alphaAngleOffset&lt;span style=&quot;color:#676767&quot;&gt;;&lt;/span&gt;
    th0 &lt;span style=&quot;color:#676767&quot;&gt;*=&lt;/span&gt; fractal&lt;span style=&quot;color:#676767&quot;&gt;-&amp;gt;&lt;/span&gt;transformCommon&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;pwr8 &lt;span style=&quot;color:#676767&quot;&gt;*&lt;/span&gt; fractal&lt;span style=&quot;color:#676767&quot;&gt;-&amp;gt;&lt;/span&gt;transformCommon&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;scaleA1&lt;span style=&quot;color:#676767&quot;&gt;;&lt;/span&gt;
    costh &lt;span style=&quot;color:#676767&quot;&gt;=&lt;/span&gt; &lt;span style=&quot;color:#00008f&quot;&gt;cos&lt;/span&gt;&lt;span style=&quot;color:#676767&quot;&gt;(&lt;/span&gt;th0&lt;span style=&quot;color:#676767&quot;&gt;);&lt;/span&gt;
    z &lt;span style=&quot;color:#676767&quot;&gt;=&lt;/span&gt; aux&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;r &lt;span style=&quot;color:#676767&quot;&gt;*&lt;/span&gt; &lt;span style=&quot;color:#00008f&quot;&gt;CVector4&lt;/span&gt;&lt;span style=&quot;color:#676767&quot;&gt;(&lt;/span&gt;costh &lt;span style=&quot;color:#676767&quot;&gt;*&lt;/span&gt; &lt;span style=&quot;color:#00008f&quot;&gt;sin&lt;/span&gt;&lt;span style=&quot;color:#676767&quot;&gt;(&lt;/span&gt;ph0&lt;span style=&quot;color:#676767&quot;&gt;),&lt;/span&gt; &lt;span style=&quot;color:#00008f&quot;&gt;cos&lt;/span&gt;&lt;span style=&quot;color:#676767&quot;&gt;(&lt;/span&gt;ph0&lt;span style=&quot;color:#676767&quot;&gt;) *&lt;/span&gt; costh&lt;span style=&quot;color:#676767&quot;&gt;,&lt;/span&gt; &lt;span style=&quot;color:#00008f&quot;&gt;sin&lt;/span&gt;&lt;span style=&quot;color:#676767&quot;&gt;(&lt;/span&gt;th0&lt;span style=&quot;color:#676767&quot;&gt;),&lt;/span&gt; &lt;span style=&quot;color:#ff1493&quot;&gt;0.0&lt;/span&gt;&lt;span style=&quot;color:#676767&quot;&gt;);&lt;/span&gt;
  &lt;span style=&quot;color:#676767&quot;&gt;}&lt;/span&gt;
  &lt;span style=&quot;color:#2e8b57; font-weight:bold&quot;&gt;if&lt;/span&gt; &lt;span style=&quot;color:#676767&quot;&gt;(&lt;/span&gt;fractal&lt;span style=&quot;color:#676767&quot;&gt;-&amp;gt;&lt;/span&gt;transformCommon&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;functionEnabledAx&lt;span style=&quot;color:#676767&quot;&gt;)&lt;/span&gt; z&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;x &lt;span style=&quot;color:#676767&quot;&gt;=&lt;/span&gt; &lt;span style=&quot;color:#00008f&quot;&gt;fabs&lt;/span&gt;&lt;span style=&quot;color:#676767&quot;&gt;(&lt;/span&gt;z&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;x&lt;span style=&quot;color:#676767&quot;&gt;);&lt;/span&gt;
  &lt;span style=&quot;color:#2e8b57; font-weight:bold&quot;&gt;if&lt;/span&gt; &lt;span style=&quot;color:#676767&quot;&gt;(&lt;/span&gt;fractal&lt;span style=&quot;color:#676767&quot;&gt;-&amp;gt;&lt;/span&gt;transformCommon&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;functionEnabledAy&lt;span style=&quot;color:#676767&quot;&gt;)&lt;/span&gt; z&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;y &lt;span style=&quot;color:#676767&quot;&gt;=&lt;/span&gt; &lt;span style=&quot;color:#00008f&quot;&gt;fabs&lt;/span&gt;&lt;span style=&quot;color:#676767&quot;&gt;(&lt;/span&gt;z&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;y&lt;span style=&quot;color:#676767&quot;&gt;);&lt;/span&gt;
  &lt;span style=&quot;color:#2e8b57; font-weight:bold&quot;&gt;if&lt;/span&gt; &lt;span style=&quot;color:#676767&quot;&gt;(&lt;/span&gt;fractal&lt;span style=&quot;color:#676767&quot;&gt;-&amp;gt;&lt;/span&gt;transformCommon&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;functionEnabledAz&lt;span style=&quot;color:#676767&quot;&gt;)&lt;/span&gt; z&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;z &lt;span style=&quot;color:#676767&quot;&gt;=&lt;/span&gt; &lt;span style=&quot;color:#00008f&quot;&gt;fabs&lt;/span&gt;&lt;span style=&quot;color:#676767&quot;&gt;(&lt;/span&gt;z&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;z&lt;span style=&quot;color:#676767&quot;&gt;);&lt;/span&gt;

  &lt;span style=&quot;color:#2e8b57; font-weight:bold&quot;&gt;if&lt;/span&gt; &lt;span style=&quot;color:#676767&quot;&gt;(&lt;/span&gt;fractal&lt;span style=&quot;color:#676767&quot;&gt;-&amp;gt;&lt;/span&gt;transformCommon&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;functionEnabledxFalse&lt;span style=&quot;color:#676767&quot;&gt;)&lt;/span&gt;
  &lt;span style=&quot;color:#676767&quot;&gt;{&lt;/span&gt;
    th0 &lt;span style=&quot;color:#676767&quot;&gt;=&lt;/span&gt; &lt;span style=&quot;color:#00008f&quot;&gt;acos&lt;/span&gt;&lt;span style=&quot;color:#676767&quot;&gt;(&lt;/span&gt;z&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;z &lt;span style=&quot;color:#676767&quot;&gt;/&lt;/span&gt; aux&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;r&lt;span style=&quot;color:#676767&quot;&gt;) +&lt;/span&gt; fractal&lt;span style=&quot;color:#676767&quot;&gt;-&amp;gt;&lt;/span&gt;transformCommon&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;betaAngleOffset
          &lt;span style=&quot;color:#676767&quot;&gt;+&lt;/span&gt; &lt;span style=&quot;color:#ff1493&quot;&gt;1e-061&lt;/span&gt;&lt;span style=&quot;color:#676767&quot;&gt;;&lt;/span&gt; &lt;span style=&quot;color:#2929cc&quot;&gt;// MUST keep exception catch ??;&lt;/span&gt;
    ph0 &lt;span style=&quot;color:#676767&quot;&gt;=&lt;/span&gt; &lt;span style=&quot;color:#00008f&quot;&gt;atan&lt;/span&gt;&lt;span style=&quot;color:#676767&quot;&gt;(&lt;/span&gt;z&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;y &lt;span style=&quot;color:#676767&quot;&gt;/&lt;/span&gt; z&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;x&lt;span style=&quot;color:#676767&quot;&gt;);&lt;/span&gt;
    ph0 &lt;span style=&quot;color:#676767&quot;&gt;*=&lt;/span&gt; fractal&lt;span style=&quot;color:#676767&quot;&gt;-&amp;gt;&lt;/span&gt;transformCommon&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;pwr8 &lt;span style=&quot;color:#676767&quot;&gt;*&lt;/span&gt; fractal&lt;span style=&quot;color:#676767&quot;&gt;-&amp;gt;&lt;/span&gt;transformCommon&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;scaleB1&lt;span style=&quot;color:#676767&quot;&gt;;&lt;/span&gt;
    zp &lt;span style=&quot;color:#676767&quot;&gt;=&lt;/span&gt; &lt;span style=&quot;color:#00008f&quot;&gt;pow&lt;/span&gt;&lt;span style=&quot;color:#676767&quot;&gt;(&lt;/span&gt;aux&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;r&lt;span style=&quot;color:#676767&quot;&gt;,&lt;/span&gt; fractal&lt;span style=&quot;color:#676767&quot;&gt;-&amp;gt;&lt;/span&gt;transformCommon&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;pwr8&lt;span style=&quot;color:#676767&quot;&gt;);&lt;/span&gt;
    sinth &lt;span style=&quot;color:#676767&quot;&gt;=&lt;/span&gt; &lt;span style=&quot;color:#00008f&quot;&gt;sin&lt;/span&gt;&lt;span style=&quot;color:#676767&quot;&gt;(&lt;/span&gt;th0&lt;span style=&quot;color:#676767&quot;&gt;);&lt;/span&gt;
    z &lt;span style=&quot;color:#676767&quot;&gt;=&lt;/span&gt; zp &lt;span style=&quot;color:#676767&quot;&gt;*&lt;/span&gt; &lt;span style=&quot;color:#00008f&quot;&gt;CVector4&lt;/span&gt;&lt;span style=&quot;color:#676767&quot;&gt;(&lt;/span&gt;sinth &lt;span style=&quot;color:#676767&quot;&gt;*&lt;/span&gt; &lt;span style=&quot;color:#00008f&quot;&gt;cos&lt;/span&gt;&lt;span style=&quot;color:#676767&quot;&gt;(&lt;/span&gt;ph0&lt;span style=&quot;color:#676767&quot;&gt;),&lt;/span&gt; &lt;span style=&quot;color:#00008f&quot;&gt;sin&lt;/span&gt;&lt;span style=&quot;color:#676767&quot;&gt;(&lt;/span&gt;ph0&lt;span style=&quot;color:#676767&quot;&gt;) *&lt;/span&gt; sinth&lt;span style=&quot;color:#676767&quot;&gt;,&lt;/span&gt; &lt;span style=&quot;color:#00008f&quot;&gt;cos&lt;/span&gt;&lt;span style=&quot;color:#676767&quot;&gt;(&lt;/span&gt;th0&lt;span style=&quot;color:#676767&quot;&gt;),&lt;/span&gt; &lt;span style=&quot;color:#ff1493&quot;&gt;0.0&lt;/span&gt;&lt;span style=&quot;color:#676767&quot;&gt;);&lt;/span&gt;
  &lt;span style=&quot;color:#676767&quot;&gt;}&lt;/span&gt;
  &lt;span style=&quot;color:#2e8b57; font-weight:bold&quot;&gt;else&lt;/span&gt;
  &lt;span style=&quot;color:#676767&quot;&gt;{&lt;/span&gt;
    th0 &lt;span style=&quot;color:#676767&quot;&gt;=&lt;/span&gt; &lt;span style=&quot;color:#00008f&quot;&gt;asin&lt;/span&gt;&lt;span style=&quot;color:#676767&quot;&gt;(&lt;/span&gt;z&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;z &lt;span style=&quot;color:#676767&quot;&gt;/&lt;/span&gt; aux&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;r&lt;span style=&quot;color:#676767&quot;&gt;) +&lt;/span&gt; fractal&lt;span style=&quot;color:#676767&quot;&gt;-&amp;gt;&lt;/span&gt;transformCommon&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;betaAngleOffset
          &lt;span style=&quot;color:#676767&quot;&gt;+&lt;/span&gt; &lt;span style=&quot;color:#ff1493&quot;&gt;1e-061&lt;/span&gt;&lt;span style=&quot;color:#676767&quot;&gt;;&lt;/span&gt; &lt;span style=&quot;color:#2929cc&quot;&gt;// MUST keep exception catch ??;&lt;/span&gt;
    ph0 &lt;span style=&quot;color:#676767&quot;&gt;=&lt;/span&gt; &lt;span style=&quot;color:#00008f&quot;&gt;atan2&lt;/span&gt;&lt;span style=&quot;color:#676767&quot;&gt;(&lt;/span&gt;z&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;y&lt;span style=&quot;color:#676767&quot;&gt;,&lt;/span&gt; z&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;x&lt;span style=&quot;color:#676767&quot;&gt;);&lt;/span&gt;
    ph0 &lt;span style=&quot;color:#676767&quot;&gt;*=&lt;/span&gt; fractal&lt;span style=&quot;color:#676767&quot;&gt;-&amp;gt;&lt;/span&gt;transformCommon&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;pwr8 &lt;span style=&quot;color:#676767&quot;&gt;*&lt;/span&gt; fractal&lt;span style=&quot;color:#676767&quot;&gt;-&amp;gt;&lt;/span&gt;transformCommon&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;scaleB1&lt;span style=&quot;color:#676767&quot;&gt;;&lt;/span&gt;
    zp &lt;span style=&quot;color:#676767&quot;&gt;=&lt;/span&gt; &lt;span style=&quot;color:#00008f&quot;&gt;pow&lt;/span&gt;&lt;span style=&quot;color:#676767&quot;&gt;(&lt;/span&gt;aux&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;r&lt;span style=&quot;color:#676767&quot;&gt;,&lt;/span&gt; fractal&lt;span style=&quot;color:#676767&quot;&gt;-&amp;gt;&lt;/span&gt;transformCommon&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;pwr8&lt;span style=&quot;color:#676767&quot;&gt;);&lt;/span&gt;
    costh &lt;span style=&quot;color:#676767&quot;&gt;=&lt;/span&gt; &lt;span style=&quot;color:#00008f&quot;&gt;cos&lt;/span&gt;&lt;span style=&quot;color:#676767&quot;&gt;(&lt;/span&gt;th0&lt;span style=&quot;color:#676767&quot;&gt;);&lt;/span&gt;
    z &lt;span style=&quot;color:#676767&quot;&gt;=&lt;/span&gt; zp &lt;span style=&quot;color:#676767&quot;&gt;*&lt;/span&gt; &lt;span style=&quot;color:#00008f&quot;&gt;CVector4&lt;/span&gt;&lt;span style=&quot;color:#676767&quot;&gt;(&lt;/span&gt;costh &lt;span style=&quot;color:#676767&quot;&gt;*&lt;/span&gt; &lt;span style=&quot;color:#00008f&quot;&gt;sin&lt;/span&gt;&lt;span style=&quot;color:#676767&quot;&gt;(&lt;/span&gt;ph0&lt;span style=&quot;color:#676767&quot;&gt;),&lt;/span&gt; &lt;span style=&quot;color:#00008f&quot;&gt;cos&lt;/span&gt;&lt;span style=&quot;color:#676767&quot;&gt;(&lt;/span&gt;ph0&lt;span style=&quot;color:#676767&quot;&gt;) *&lt;/span&gt; costh&lt;span style=&quot;color:#676767&quot;&gt;,&lt;/span&gt; &lt;span style=&quot;color:#00008f&quot;&gt;sin&lt;/span&gt;&lt;span style=&quot;color:#676767&quot;&gt;(&lt;/span&gt;th0&lt;span style=&quot;color:#676767&quot;&gt;),&lt;/span&gt; &lt;span style=&quot;color:#ff1493&quot;&gt;0.0&lt;/span&gt;&lt;span style=&quot;color:#676767&quot;&gt;);&lt;/span&gt;
  &lt;span style=&quot;color:#676767&quot;&gt;}&lt;/span&gt;

  &lt;span style=&quot;color:#2e8b57; font-weight:bold&quot;&gt;if&lt;/span&gt; &lt;span style=&quot;color:#676767&quot;&gt;(&lt;/span&gt;fractal&lt;span style=&quot;color:#676767&quot;&gt;-&amp;gt;&lt;/span&gt;transformCommon&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;functionEnabledBxFalse&lt;span style=&quot;color:#676767&quot;&gt;)&lt;/span&gt; z&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;x &lt;span style=&quot;color:#676767&quot;&gt;=&lt;/span&gt; &lt;span style=&quot;color:#00008f&quot;&gt;fabs&lt;/span&gt;&lt;span style=&quot;color:#676767&quot;&gt;(&lt;/span&gt;z&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;x&lt;span style=&quot;color:#676767&quot;&gt;);&lt;/span&gt;
  &lt;span style=&quot;color:#2e8b57; font-weight:bold&quot;&gt;if&lt;/span&gt; &lt;span style=&quot;color:#676767&quot;&gt;(&lt;/span&gt;fractal&lt;span style=&quot;color:#676767&quot;&gt;-&amp;gt;&lt;/span&gt;transformCommon&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;functionEnabledByFalse&lt;span style=&quot;color:#676767&quot;&gt;)&lt;/span&gt; z&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;y &lt;span style=&quot;color:#676767&quot;&gt;=&lt;/span&gt; &lt;span style=&quot;color:#00008f&quot;&gt;fabs&lt;/span&gt;&lt;span style=&quot;color:#676767&quot;&gt;(&lt;/span&gt;z&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;y&lt;span style=&quot;color:#676767&quot;&gt;);&lt;/span&gt;

  &lt;span style=&quot;color:#2e8b57; font-weight:bold&quot;&gt;if&lt;/span&gt; &lt;span style=&quot;color:#676767&quot;&gt;(&lt;/span&gt;fractal&lt;span style=&quot;color:#676767&quot;&gt;-&amp;gt;&lt;/span&gt;analyticDE&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;enabledFalse&lt;span style=&quot;color:#676767&quot;&gt;)&lt;/span&gt;
  &lt;span style=&quot;color:#676767&quot;&gt;{&lt;/span&gt; &lt;span style=&quot;color:#2929cc&quot;&gt;// analytic log DE adjustment&lt;/span&gt;
    aux&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;DE &lt;span style=&quot;color:#676767&quot;&gt;=&lt;/span&gt; &lt;span style=&quot;color:#00008f&quot;&gt;pow&lt;/span&gt;&lt;span style=&quot;color:#676767&quot;&gt;(&lt;/span&gt;aux&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;r&lt;span style=&quot;color:#676767&quot;&gt;,&lt;/span&gt; fractal&lt;span style=&quot;color:#676767&quot;&gt;-&amp;gt;&lt;/span&gt;transformCommon&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;pwr8 &lt;span style=&quot;color:#676767&quot;&gt;-&lt;/span&gt; fractal&lt;span style=&quot;color:#676767&quot;&gt;-&amp;gt;&lt;/span&gt;analyticDE&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;offset1&lt;span style=&quot;color:#676767&quot;&gt;) *&lt;/span&gt; aux&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;DE
               &lt;span style=&quot;color:#676767&quot;&gt;*&lt;/span&gt; fractal&lt;span style=&quot;color:#676767&quot;&gt;-&amp;gt;&lt;/span&gt;transformCommon&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;pwr8 &lt;span style=&quot;color:#676767&quot;&gt;*&lt;/span&gt; fractal&lt;span style=&quot;color:#676767&quot;&gt;-&amp;gt;&lt;/span&gt;analyticDE&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;scale1
             &lt;span style=&quot;color:#676767&quot;&gt;+&lt;/span&gt; fractal&lt;span style=&quot;color:#676767&quot;&gt;-&amp;gt;&lt;/span&gt;analyticDE&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;offset2&lt;span style=&quot;color:#676767&quot;&gt;;&lt;/span&gt;
  &lt;span style=&quot;color:#676767&quot;&gt;}&lt;/span&gt;
  &lt;span style=&quot;color:#2e8b57; font-weight:bold&quot;&gt;else&lt;/span&gt; &lt;span style=&quot;color:#2929cc&quot;&gt;// default, i.e. scale1 &amp;amp; offset1 &amp;amp; offset2 = 1.0&lt;/span&gt;
  &lt;span style=&quot;color:#676767&quot;&gt;{&lt;/span&gt;
    aux&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;DE &lt;span style=&quot;color:#676767&quot;&gt;=&lt;/span&gt;
      &lt;span style=&quot;color:#00008f&quot;&gt;pow&lt;/span&gt;&lt;span style=&quot;color:#676767&quot;&gt;(&lt;/span&gt;aux&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;r&lt;span style=&quot;color:#676767&quot;&gt;,&lt;/span&gt; fractal&lt;span style=&quot;color:#676767&quot;&gt;-&amp;gt;&lt;/span&gt;transformCommon&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;pwr8 &lt;span style=&quot;color:#676767&quot;&gt;-&lt;/span&gt; &lt;span style=&quot;color:#ff1493&quot;&gt;1.0&lt;/span&gt;&lt;span style=&quot;color:#676767&quot;&gt;) *&lt;/span&gt; fractal&lt;span style=&quot;color:#676767&quot;&gt;-&amp;gt;&lt;/span&gt;transformCommon&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;pwr8 &lt;span style=&quot;color:#676767&quot;&gt;*&lt;/span&gt; aux&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;DE
      &lt;span style=&quot;color:#676767&quot;&gt;+&lt;/span&gt; &lt;span style=&quot;color:#ff1493&quot;&gt;1.0&lt;/span&gt;&lt;span style=&quot;color:#676767&quot;&gt;;&lt;/span&gt;
  &lt;span style=&quot;color:#676767&quot;&gt;}&lt;/span&gt;
&lt;span style=&quot;color:#676767&quot;&gt;}&lt;/span&gt;
&lt;/pre&gt;
&lt;/body&gt;</string>
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