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proof of concept fisheye zoom on circle

float w;
int R = 45; // R = distance where circles will try to get to
float focusDegree = 45;

void setup() {
  size(600,600);
  stroke(0);
  strokeWeight(1);
  smooth();
  w = 0.1;
  noStroke();
  noLoop();
}

void draw() {
  background(255);
  w = map(mouseX, 50, width-50, 5, 0.001);
  w = min(10, w);
  w = max(0.0001, w);

  for ( int i = 0; i < 45; i++ ) { // draw 180 points on circle
    fill(0,0,map(i, 0, 45, 0, 255));
    float oldDegree = 2*i;

    float s = R/(log(w*R+1));
    float deltaDegree = s*log(1+w*abs(focusDegree - oldDegree));
    
    if ( oldDegree < focusDegree ) {
      deltaDegree = -deltaDegree;
    }
    
    float newDegree = focusDegree + deltaDegree;

    float x = 200*cos(radians(newDegree));
    float y = 200*sin(radians(newDegree));
    ellipse(300+x,300+y,5,5);
  }
  
  // Draw the rest of the circle
  fill(0);
  for ( int i = 45; i < 180; i++ ) {
    float degree = 2*i;
    float x = 200*cos(radians(degree));
    float y = 200*sin(radians(degree));
    ellipse(300+x, 300+y, 5, 5);
  }
}

void mouseMoved() {
  redraw();
}
https://snipt.net/embed/af15d3f0a0dc350c91d1e4ecd2e7cf3a/
/raw/af15d3f0a0dc350c91d1e4ecd2e7cf3a/
af15d3f0a0dc350c91d1e4ecd2e7cf3a
java
Java
51
2019-06-27T05:59:59
True
False
False
/api/public/snipt/5616/
proof-of-concept-fisheye-zoom-on-circle
<table class="highlighttable"><tr><td class="linenos"><div class="linenodiv"><pre><a href="#L-1"> 1</a> <a href="#L-2"> 2</a> <a href="#L-3"> 3</a> <a href="#L-4"> 4</a> <a href="#L-5"> 5</a> <a href="#L-6"> 6</a> <a href="#L-7"> 7</a> <a href="#L-8"> 8</a> <a href="#L-9"> 9</a> <a href="#L-10">10</a> <a href="#L-11">11</a> <a href="#L-12">12</a> <a href="#L-13">13</a> <a href="#L-14">14</a> <a href="#L-15">15</a> <a href="#L-16">16</a> <a href="#L-17">17</a> <a href="#L-18">18</a> <a href="#L-19">19</a> <a href="#L-20">20</a> <a href="#L-21">21</a> <a href="#L-22">22</a> <a href="#L-23">23</a> <a href="#L-24">24</a> <a href="#L-25">25</a> <a href="#L-26">26</a> <a href="#L-27">27</a> <a href="#L-28">28</a> <a href="#L-29">29</a> <a href="#L-30">30</a> <a href="#L-31">31</a> <a href="#L-32">32</a> <a href="#L-33">33</a> <a href="#L-34">34</a> <a href="#L-35">35</a> <a href="#L-36">36</a> <a href="#L-37">37</a> <a href="#L-38">38</a> <a href="#L-39">39</a> <a href="#L-40">40</a> <a href="#L-41">41</a> <a href="#L-42">42</a> <a href="#L-43">43</a> <a href="#L-44">44</a> <a href="#L-45">45</a> <a href="#L-46">46</a> <a href="#L-47">47</a> <a href="#L-48">48</a> <a href="#L-49">49</a> <a href="#L-50">50</a> <a href="#L-51">51</a></pre></div></td><td class="code"><div class="highlight"><pre><span></span><span id="L-1"><a name="L-1"></a><span class="kt">float</span> <span class="n">w</span><span class="o">;</span> </span><span id="L-2"><a name="L-2"></a><span class="kt">int</span> <span class="n">R</span> <span class="o">=</span> <span class="mi">45</span><span class="o">;</span> <span class="c1">// R = distance where circles will try to get to</span> </span><span id="L-3"><a name="L-3"></a><span class="kt">float</span> <span class="n">focusDegree</span> <span class="o">=</span> <span class="mi">45</span><span class="o">;</span> </span><span id="L-4"><a name="L-4"></a> </span><span id="L-5"><a name="L-5"></a><span class="kt">void</span> <span class="nf">setup</span><span class="o">()</span> <span class="o">{</span> </span><span id="L-6"><a name="L-6"></a> <span class="n">size</span><span class="o">(</span><span class="mi">600</span><span class="o">,</span><span class="mi">600</span><span class="o">);</span> </span><span id="L-7"><a name="L-7"></a> <span class="n">stroke</span><span class="o">(</span><span class="mi">0</span><span class="o">);</span> </span><span id="L-8"><a name="L-8"></a> <span class="n">strokeWeight</span><span class="o">(</span><span class="mi">1</span><span class="o">);</span> </span><span id="L-9"><a name="L-9"></a> <span class="n">smooth</span><span class="o">();</span> </span><span id="L-10"><a name="L-10"></a> <span class="n">w</span> <span class="o">=</span> <span class="mf">0.1</span><span class="o">;</span> </span><span id="L-11"><a name="L-11"></a> <span class="n">noStroke</span><span class="o">();</span> </span><span id="L-12"><a name="L-12"></a> <span class="n">noLoop</span><span class="o">();</span> </span><span id="L-13"><a name="L-13"></a><span class="o">}</span> </span><span id="L-14"><a name="L-14"></a> </span><span id="L-15"><a name="L-15"></a><span class="kt">void</span> <span class="nf">draw</span><span class="o">()</span> <span class="o">{</span> </span><span id="L-16"><a name="L-16"></a> <span class="n">background</span><span class="o">(</span><span class="mi">255</span><span class="o">);</span> </span><span id="L-17"><a name="L-17"></a> <span class="n">w</span> <span class="o">=</span> <span class="n">map</span><span class="o">(</span><span class="n">mouseX</span><span class="o">,</span> <span class="mi">50</span><span class="o">,</span> <span class="n">width</span><span class="o">-</span><span class="mi">50</span><span class="o">,</span> <span class="mi">5</span><span class="o">,</span> <span class="mf">0.001</span><span class="o">);</span> </span><span id="L-18"><a name="L-18"></a> <span class="n">w</span> <span class="o">=</span> <span class="n">min</span><span class="o">(</span><span class="mi">10</span><span class="o">,</span> <span class="n">w</span><span class="o">);</span> </span><span id="L-19"><a name="L-19"></a> <span class="n">w</span> <span class="o">=</span> <span class="n">max</span><span class="o">(</span><span class="mf">0.0001</span><span class="o">,</span> <span class="n">w</span><span class="o">);</span> </span><span id="L-20"><a name="L-20"></a> </span><span id="L-21"><a name="L-21"></a> <span class="k">for</span> <span class="o">(</span> <span class="kt">int</span> <span class="n">i</span> <span class="o">=</span> <span class="mi">0</span><span class="o">;</span> <span class="n">i</span> <span class="o">&lt;</span> <span class="mi">45</span><span class="o">;</span> <span class="n">i</span><span class="o">++</span> <span class="o">)</span> <span class="o">{</span> <span class="c1">// draw 180 points on circle</span> </span><span id="L-22"><a name="L-22"></a> <span class="n">fill</span><span class="o">(</span><span class="mi">0</span><span class="o">,</span><span class="mi">0</span><span class="o">,</span><span class="n">map</span><span class="o">(</span><span class="n">i</span><span class="o">,</span> <span class="mi">0</span><span class="o">,</span> <span class="mi">45</span><span class="o">,</span> <span class="mi">0</span><span class="o">,</span> <span class="mi">255</span><span class="o">));</span> </span><span id="L-23"><a name="L-23"></a> <span class="kt">float</span> <span class="n">oldDegree</span> <span class="o">=</span> <span class="mi">2</span><span class="o">*</span><span class="n">i</span><span class="o">;</span> </span><span id="L-24"><a name="L-24"></a> </span><span id="L-25"><a name="L-25"></a> <span class="kt">float</span> <span class="n">s</span> <span class="o">=</span> <span class="n">R</span><span class="o">/(</span><span class="n">log</span><span class="o">(</span><span class="n">w</span><span class="o">*</span><span class="n">R</span><span class="o">+</span><span class="mi">1</span><span class="o">));</span> </span><span id="L-26"><a name="L-26"></a> <span class="kt">float</span> <span class="n">deltaDegree</span> <span class="o">=</span> <span class="n">s</span><span class="o">*</span><span class="n">log</span><span class="o">(</span><span class="mi">1</span><span class="o">+</span><span class="n">w</span><span class="o">*</span><span class="n">abs</span><span class="o">(</span><span class="n">focusDegree</span> <span class="o">-</span> <span class="n">oldDegree</span><span class="o">));</span> </span><span id="L-27"><a name="L-27"></a> </span><span id="L-28"><a name="L-28"></a> <span class="k">if</span> <span class="o">(</span> <span class="n">oldDegree</span> <span class="o">&lt;</span> <span class="n">focusDegree</span> <span class="o">)</span> <span class="o">{</span> </span><span id="L-29"><a name="L-29"></a> <span class="n">deltaDegree</span> <span class="o">=</span> <span class="o">-</span><span class="n">deltaDegree</span><span class="o">;</span> </span><span id="L-30"><a name="L-30"></a> <span class="o">}</span> </span><span id="L-31"><a name="L-31"></a> </span><span id="L-32"><a name="L-32"></a> <span class="kt">float</span> <span class="n">newDegree</span> <span class="o">=</span> <span class="n">focusDegree</span> <span class="o">+</span> <span class="n">deltaDegree</span><span class="o">;</span> </span><span id="L-33"><a name="L-33"></a> </span><span id="L-34"><a name="L-34"></a> <span class="kt">float</span> <span class="n">x</span> <span class="o">=</span> <span class="mi">200</span><span class="o">*</span><span class="n">cos</span><span class="o">(</span><span class="n">radians</span><span class="o">(</span><span class="n">newDegree</span><span class="o">));</span> </span><span id="L-35"><a name="L-35"></a> <span class="kt">float</span> <span class="n">y</span> <span class="o">=</span> <span class="mi">200</span><span class="o">*</span><span class="n">sin</span><span class="o">(</span><span class="n">radians</span><span class="o">(</span><span class="n">newDegree</span><span class="o">));</span> </span><span id="L-36"><a name="L-36"></a> <span class="n">ellipse</span><span class="o">(</span><span class="mi">300</span><span class="o">+</span><span class="n">x</span><span class="o">,</span><span class="mi">300</span><span class="o">+</span><span class="n">y</span><span class="o">,</span><span class="mi">5</span><span class="o">,</span><span class="mi">5</span><span class="o">);</span> </span><span id="L-37"><a name="L-37"></a> <span class="o">}</span> </span><span id="L-38"><a name="L-38"></a> </span><span id="L-39"><a name="L-39"></a> <span class="c1">// Draw the rest of the circle</span> </span><span id="L-40"><a name="L-40"></a> <span class="n">fill</span><span class="o">(</span><span class="mi">0</span><span class="o">);</span> </span><span id="L-41"><a name="L-41"></a> <span class="k">for</span> <span class="o">(</span> <span class="kt">int</span> <span class="n">i</span> <span class="o">=</span> <span class="mi">45</span><span class="o">;</span> <span class="n">i</span> <span class="o">&lt;</span> <span class="mi">180</span><span class="o">;</span> <span class="n">i</span><span class="o">++</span> <span class="o">)</span> <span class="o">{</span> </span><span id="L-42"><a name="L-42"></a> <span class="kt">float</span> <span class="n">degree</span> <span class="o">=</span> <span class="mi">2</span><span class="o">*</span><span class="n">i</span><span class="o">;</span> </span><span id="L-43"><a name="L-43"></a> <span class="kt">float</span> <span class="n">x</span> <span class="o">=</span> <span class="mi">200</span><span class="o">*</span><span class="n">cos</span><span class="o">(</span><span class="n">radians</span><span class="o">(</span><span class="n">degree</span><span class="o">));</span> </span><span id="L-44"><a name="L-44"></a> <span class="kt">float</span> <span class="n">y</span> <span class="o">=</span> <span class="mi">200</span><span class="o">*</span><span class="n">sin</span><span class="o">(</span><span class="n">radians</span><span class="o">(</span><span class="n">degree</span><span class="o">));</span> </span><span id="L-45"><a name="L-45"></a> <span class="n">ellipse</span><span class="o">(</span><span class="mi">300</span><span class="o">+</span><span class="n">x</span><span class="o">,</span> <span class="mi">300</span><span class="o">+</span><span class="n">y</span><span class="o">,</span> <span class="mi">5</span><span class="o">,</span> <span class="mi">5</span><span class="o">);</span> </span><span id="L-46"><a name="L-46"></a> <span class="o">}</span> </span><span id="L-47"><a name="L-47"></a><span class="o">}</span> </span><span id="L-48"><a name="L-48"></a> </span><span id="L-49"><a name="L-49"></a><span class="kt">void</span> <span class="nf">mouseMoved</span><span class="o">()</span> <span class="o">{</span> </span><span id="L-50"><a name="L-50"></a> <span class="n">redraw</span><span class="o">();</span> </span><span id="L-51"><a name="L-51"></a><span class="o">}</span> </span></pre></div> </td></tr></table>
fisheye, processing, zoom