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Check if two polygons overlap: Difference between revisions

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Check if two polygons overlap (view source)

Revision as of 11:36, 31 July 2023

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<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: #000080;font-style:italic;">-- ie {-y,x}</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>
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<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: #004080;">sequence</span> <span style="color: #000000;">p</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: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">poly</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;">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;">pi</span><span style="color: #0000FF;">]</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: #7060A8;">min</span><span style="color: #0000FF;">(</span><span style="color: #000000;">mnp</span><span style="color: #0000FF;">),</span><span style="color: #7060A8;">max</span><span style="color: #0000FF;">(</span><span style="color: #000000;">mxp</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: #008080004080;">returnatom</span> <span style="color: #000000;">proj1</span><span style="color: #0000FF;">[{</span><span style="color: #000000;">2min1</span><span style="color: #0000FF;">],</span> <span style="color: #0000FF;">>=</span> <span style="color: #000000;">proj2max1</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: #0080800000FF;">if{</span> <span style="color: #000000;">imin2</span><span style="color: #0000FF;">=,</span><span style="color: #000000;">1max2</span><span style="color: #0000FF;">}</span> <span style="color: #0080800000FF;">=</span> <span style="color: #000000;">thenproj2</span>
▲ <span style="color: #008080;">elsifreturn</span> <span style="color: #000000;">pmax1</span><span style="color: #0000FF;"><>=</span><span style="color: #000000;">mnmin2</span> <span style="color: #008080;">thenand</span> <span style="color: #000000;">max2</span><span style="color: #0000FF;">>=</span><span style="color: #000000;">min1</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
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