Check if two polygons overlap: Difference between revisions
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=={{header|Phix}}==
{{trans|Wren}}
<!--<syntaxhighlight lang="phix">(phixonline)-->
<span style="color: #008080;">with</span> <span style="color: #008080;">javascript_semantics</span>
<span style="color: #008080;">function</span> <span style="color: #000000;">getAxes</span><span style="color: #0000FF;">(</span><span style="color: #004080;">sequence</span> <span style="color: #000000;">poly</span><span style="color: #0000FF;">)</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">l</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">poly</span><span style="color: #0000FF;">)</span>
<span style="color: #004080;">sequence</span> <span style="color: #000000;">axes</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">repeat</span><span style="color: #0000FF;">(</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #000000;">l</span> <span style="color: #008080;">do</span>
<span style="color: #004080;">sequence</span> <span style="color: #000000;">p</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">poly</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">],</span> <span style="color: #000000;">n</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">poly</span><span style="color: #0000FF;">[</span><span style="color: #7060A8;">iff</span><span style="color: #0000FF;">(</span><span style="color: #000000;">i</span><span style="color: #0000FF;">=</span><span style="color: #000000;">l</span><span style="color: #0000FF;">?</span><span style="color: #000000;">1</span><span style="color: #0000FF;">:</span><span style="color: #000000;">i</span><span style="color: #0000FF;">+</span><span style="color: #000000;">1</span><span style="color: #0000FF;">)]</span>
<span style="color: #000000;">axes</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">n</span><span style="color: #0000FF;">[</span><span style="color: #000000;">2</span><span style="color: #0000FF;">]-</span><span style="color: #000000;">p</span><span style="color: #0000FF;">[</span><span style="color: #000000;">2</span><span style="color: #0000FF;">],</span><span style="color: #000000;">p</span><span style="color: #0000FF;">[</span><span style="color: #000000;">1</span><span style="color: #0000FF;">]-</span><span style="color: #000000;">n</span><span style="color: #0000FF;">[</span><span style="color: #000000;">1</span><span style="color: #0000FF;">]}</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<span style="color: #008080;">return</span> <span style="color: #000000;">axes</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
<span style="color: #008080;">function</span> <span style="color: #000000;">projectOntoAxis</span><span style="color: #0000FF;">(</span><span style="color: #004080;">sequence</span> <span style="color: #000000;">poly</span><span style="color: #0000FF;">,</span><span style="color: #000000;">axis</span><span style="color: #0000FF;">)</span>
<span style="color: #004080;">atom</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">ax</span><span style="color: #0000FF;">,</span><span style="color: #000000;">ay</span><span style="color: #0000FF;">}</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">axis</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">mn</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">mx</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">,</span><span style="color: #000000;">pi</span> <span style="color: #008080;">in</span> <span style="color: #000000;">poly</span> <span style="color: #008080;">do</span>
<span style="color: #004080;">atom</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">px</span><span style="color: #0000FF;">,</span><span style="color: #000000;">py</span><span style="color: #0000FF;">}</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">pi</span><span style="color: #0000FF;">,</span>
<span style="color: #000000;">p</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">ax</span><span style="color: #0000FF;">*</span><span style="color: #000000;">px</span><span style="color: #0000FF;">+</span><span style="color: #000000;">ay</span><span style="color: #0000FF;">*</span><span style="color: #000000;">py</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">then</span>
<span style="color: #000000;">mn</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">p</span>
<span style="color: #000000;">mx</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">p</span>
<span style="color: #008080;">elsif</span> <span style="color: #000000;">p</span><span style="color: #0000FF;"><</span><span style="color: #000000;">mn</span> <span style="color: #008080;">then</span>
<span style="color: #000000;">mn</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">p</span>
<span style="color: #008080;">elsif</span> <span style="color: #000000;">p</span><span style="color: #0000FF;">></span><span style="color: #000000;">mx</span> <span style="color: #008080;">then</span>
<span style="color: #000000;">mx</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">p</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<span style="color: #008080;">return</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">mn</span><span style="color: #0000FF;">,</span><span style="color: #000000;">mx</span><span style="color: #0000FF;">}</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
<span style="color: #008080;">function</span> <span style="color: #000000;">projectionsOverlap</span><span style="color: #0000FF;">(</span><span style="color: #004080;">sequence</span> <span style="color: #000000;">proj1</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">proj2</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">return</span> <span style="color: #000000;">proj1</span><span style="color: #0000FF;">[</span><span style="color: #000000;">2</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">>=</span> <span style="color: #000000;">proj2</span><span style="color: #0000FF;">[</span><span style="color: #000000;">1</span><span style="color: #0000FF;">]</span> <span style="color: #008080;">and</span> <span style="color: #000000;">proj2</span><span style="color: #0000FF;">[</span><span style="color: #000000;">2</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">>=</span> <span style="color: #000000;">proj1</span><span style="color: #0000FF;">[</span><span style="color: #000000;">1</span><span style="color: #0000FF;">]</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
<span style="color: #008080;">function</span> <span style="color: #000000;">polygonsOverlap</span><span style="color: #0000FF;">(</span><span style="color: #004080;">sequence</span> <span style="color: #000000;">poly1</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">poly2</span><span style="color: #0000FF;">)</span>
<span style="color: #004080;">sequence</span> <span style="color: #000000;">axes1</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">getAxes</span><span style="color: #0000FF;">(</span><span style="color: #000000;">poly1</span><span style="color: #0000FF;">),</span>
<span style="color: #000000;">axes2</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">getAxes</span><span style="color: #0000FF;">(</span><span style="color: #000000;">poly2</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">axes</span> <span style="color: #008080;">in</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">axes1</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">axes2</span><span style="color: #0000FF;">}</span> <span style="color: #008080;">do</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">axis</span> <span style="color: #008080;">in</span> <span style="color: #000000;">axes</span> <span style="color: #008080;">do</span>
<span style="color: #004080;">sequence</span> <span style="color: #000000;">proj1</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">projectOntoAxis</span><span style="color: #0000FF;">(</span><span style="color: #000000;">poly1</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">axis</span><span style="color: #0000FF;">),</span>
<span style="color: #000000;">proj2</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">projectOntoAxis</span><span style="color: #0000FF;">(</span><span style="color: #000000;">poly2</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">axis</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">if</span> <span style="color: #008080;">not</span> <span style="color: #000000;">projectionsOverlap</span><span style="color: #0000FF;">(</span><span style="color: #000000;">proj1</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">proj2</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">then</span> <span style="color: #008080;">return</span> <span style="color: #004600;">false</span> <span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<span style="color: #008080;">return</span> <span style="color: #004600;">true</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
<span style="color: #008080;">constant</span> <span style="color: #000000;">poly1</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{{</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">0</span><span style="color: #0000FF;">},</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">2</span><span style="color: #0000FF;">},</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">4</span><span style="color: #0000FF;">},</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">2</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">2</span><span style="color: #0000FF;">},</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">2</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">0</span><span style="color: #0000FF;">}},</span>
<span style="color: #000000;">poly2</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{{</span><span style="color: #000000;">4</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">0</span><span style="color: #0000FF;">},</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">4</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">2</span><span style="color: #0000FF;">},</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">5</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">4</span><span style="color: #0000FF;">},</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">6</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">2</span><span style="color: #0000FF;">},</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">6</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">0</span><span style="color: #0000FF;">}},</span>
<span style="color: #000000;">poly3</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{{</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">0</span><span style="color: #0000FF;">},</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">2</span><span style="color: #0000FF;">},</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">5</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">4</span><span style="color: #0000FF;">},</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">9</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">2</span><span style="color: #0000FF;">},</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">9</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">0</span><span style="color: #0000FF;">}},</span>
<span style="color: #000000;">fmt</span> <span style="color: #0000FF;">=</span> <span style="color: #008000;">"""
poly1 = %v
poly2 = %v
poly3 = %v
poly1 and poly2 overlap? %t
poly1 and poly3 overlap? %t
poly2 and poly3 overlap? %t
"""</span>
<span style="color: #7060A8;">printf</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #000000;">fmt</span><span style="color: #0000FF;">,{</span><span style="color: #000000;">poly1</span><span style="color: #0000FF;">,</span><span style="color: #000000;">poly2</span><span style="color: #0000FF;">,</span><span style="color: #000000;">poly3</span><span style="color: #0000FF;">,</span><span style="color: #000000;">polygonsOverlap</span><span style="color: #0000FF;">(</span><span style="color: #000000;">poly1</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">poly2</span><span style="color: #0000FF;">),</span>
<span style="color: #000000;">polygonsOverlap</span><span style="color: #0000FF;">(</span><span style="color: #000000;">poly1</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">poly3</span><span style="color: #0000FF;">),</span>
<span style="color: #000000;">polygonsOverlap</span><span style="color: #0000FF;">(</span><span style="color: #000000;">poly2</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">poly3</span><span style="color: #0000FF;">)})</span>
<!--</syntaxhighlight>-->
{{out}}
<pre>
poly1 = {{0,0},{0,2},{1,4},{2,2},{2,0}}
poly2 = {{4,0},{4,2},{5,4},{6,2},{6,0}}
poly3 = {{1,0},{1,2},{5,4},{9,2},{9,0}}
poly1 and poly2 overlap? false
poly1 and poly3 overlap? true
poly2 and poly3 overlap? true
</pre>
=={{header|Wren}}==
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