Ray-casting algorithm: Difference between revisions
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=={{header|Phix}}==
<!--<lang Phix>
<span style="color: #008080;">constant</span> <span style="color: #000000;">inf</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">1e300</span><span style="color: #0000FF;">*</span><span style="color: #000000;">1e300</span>
<span style="color: #008080;">function</span> <span style="color: #000000;">rayIntersectsSegment</span><span style="color: #0000FF;">(</span><span style="color: #004080;">sequence</span> <span style="color: #000000;">point</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">sequence</span> <span style="color: #000000;">segment</span><span style="color: #0000FF;">)</span>
<span style="color: #004080;">sequence</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">a</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">b</span><span style="color: #0000FF;">}</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">segment</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;">point</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;">aY</span><span style="color: #0000FF;">}</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">a</span><span style="color: #0000FF;">,</span>
<span style="color: #0000FF;">{</span><span style="color: #000000;">bX</span><span style="color: #0000FF;">,</span><span style="color: #000000;">bY</span><span style="color: #0000FF;">}</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">b</span><span style="color: #0000FF;">,</span>
<span style="color: #000000;">m_red</span><span style="color: #0000FF;">,</span><span style="color: #000000;">m_blue</span>
<span style="color: #000080;font-style:italic;">-- ensure {aX,aY} is the segment end-point with the smallest y coordinate</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">aY</span><span style="color: #0000FF;">></span><span style="color: #000000;">bY</span> <span style="color: #008080;">then</span>
<span style="color: #0000FF;">{</span><span style="color: #000000;">bX</span><span style="color: #0000FF;">,</span><span style="color: #000000;">bY</span><span style="color: #0000FF;">}</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">a</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;">b</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">pY</span><span style="color: #0000FF;">=</span><span style="color: #000000;">aY</span> <span style="color: #008080;">or</span> <span style="color: #000000;">pY</span><span style="color: #0000FF;">=</span><span style="color: #000000;">bY</span> <span style="color: #008080;">then</span>
<span style="color: #000080;font-style:italic;">--
-- Consider a ray passing through the top or left corner of a diamond:
-- /
-- --- or -
-- ^ \
-- In both cases it touches both edges, but ends up outside in the
-- top case, whereas it ends up inside in the left case. Just move
-- the y co-ordinate down a smidge and it'll work properly, by
-- missing one line in the left/right cases and hitting both/none
-- in the top/bottom cases.
--</span>
<span style="color: #000000;">pY</span> <span style="color: #0000FF;">+=</span> <span style="color: #000000;">0.000001</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">pY</span><span style="color: #0000FF;"><</span><span style="color: #000000;">aY</span> <span style="color: #008080;">or</span> <span style="color: #000000;">pY</span><span style="color: #0000FF;">></span><span style="color: #000000;">bY</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;">if</span> <span style="color: #000000;">pX</span><span style="color: #0000FF;">></span><span style="color: #7060A8;">max</span><span style="color: #0000FF;">(</span><span style="color: #000000;">aX</span><span style="color: #0000FF;">,</span><span style="color: #000000;">bX</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;">if</span> <span style="color: #000000;">pX</span><span style="color: #0000FF;"><</span><span style="color: #7060A8;">min</span><span style="color: #0000FF;">(</span><span style="color: #000000;">aX</span><span style="color: #0000FF;">,</span><span style="color: #000000;">bX</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">then</span> <span style="color: #008080;">return</span> <span style="color: #004600;">true</span> <span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">aX</span><span style="color: #0000FF;">!=</span><span style="color: #000000;">bX</span> <span style="color: #008080;">then</span>
<span style="color: #000000;">m_red</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">(</span><span style="color: #000000;">bY</span><span style="color: #0000FF;">-</span><span style="color: #000000;">aY</span><span style="color: #0000FF;">)/(</span><span style="color: #000000;">bX</span><span style="color: #0000FF;">-</span><span style="color: #000000;">aX</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">else</span>
<span style="color: #000000;">m_red</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">inf</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">aX</span><span style="color: #0000FF;">!=</span><span style="color: #000000;">pX</span> <span style="color: #008080;">then</span>
<span style="color: #000000;">m_blue</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">(</span><span style="color: #000000;">pY</span><span style="color: #0000FF;">-</span><span style="color: #000000;">aY</span><span style="color: #0000FF;">)/(</span><span style="color: #000000;">pX</span><span style="color: #0000FF;">-</span><span style="color: #000000;">aX</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">else</span>
<span style="color: #000000;">m_blue</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">inf</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">return</span> <span style="color: #000000;">m_blue</span> <span style="color: #0000FF;">>=</span> <span style="color: #000000;">m_red</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
<span style="color: #008080;">function</span> <span style="color: #000000;">inside</span><span style="color: #0000FF;">(</span><span style="color: #004080;">sequence</span> <span style="color: #000000;">point</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;">bool</span> <span style="color: #000000;">res</span> <span style="color: #0000FF;">=</span> <span style="color: #004600;">false</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: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">poly</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">rayIntersectsSegment</span><span style="color: #0000FF;">(</span><span style="color: #000000;">point</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: #008080;">then</span>
<span style="color: #000000;">res</span> <span style="color: #0000FF;">=</span> <span style="color: #008080;">not</span> <span style="color: #000000;">res</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: #000000;">res</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
<span style="color: #008080;">function</span> <span style="color: #000000;">instr</span><span style="color: #0000FF;">(</span><span style="color: #004080;">integer</span> <span style="color: #000000;">flag</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">integer</span> <span style="color: #000000;">expected</span><span style="color: #0000FF;">)</span>
<span style="color: #004080;">string</span> <span style="color: #000000;">res</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{</span><span style="color: #008000;">"in"</span><span style="color: #0000FF;">,</span> <span style="color: #008000;">"out"</span><span style="color: #0000FF;">}[</span><span style="color: #000000;">2</span><span style="color: #0000FF;">-</span><span style="color: #000000;">flag</span><span style="color: #0000FF;">]</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">flag</span><span style="color: #0000FF;">!=</span><span style="color: #000000;">expected</span> <span style="color: #008080;">then</span>
<span style="color: #000000;">res</span> <span style="color: #0000FF;">&=</span> <span style="color: #008000;">"*** ERROR ***"</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">return</span> <span style="color: #000000;">res</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
<span style="color: #008080;">function</span> <span style="color: #000000;">instar</span><span style="color: #0000FF;">(</span><span style="color: #004080;">integer</span> <span style="color: #000000;">flag</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">return</span> <span style="color: #008000;">"* "</span><span style="color: #0000FF;">[</span><span style="color: #000000;">2</span><span style="color: #0000FF;">-</span><span style="color: #000000;">flag</span><span style="color: #0000FF;">]</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
<span style="color: #008080;">constant</span> <span style="color: #000000;">test_points</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;">5</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">5</span><span style="color: #0000FF;">,</span><span style="color: #000000;">8</span><span style="color: #0000FF;">},{-</span><span style="color: #000000;">10</span><span style="color: #0000FF;">,</span><span style="color: #000000;">5</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">5</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">10</span><span style="color: #0000FF;">,</span><span style="color: #000000;">5</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">8</span><span style="color: #0000FF;">,</span><span style="color: #000000;">5</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">10</span><span style="color: #0000FF;">,</span><span style="color: #000000;">10</span><span style="color: #0000FF;">}}</span>
<span style="color: #000080;font-style:italic;">--constant NAME = 1, POLY = 2, EXPECTED = 3</span>
<span style="color: #008080;">constant</span> <span style="color: #000000;">test_polygons</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{</span>
<span style="color: #0000FF;">{</span><span style="color: #008000;">"square"</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: #000000;">10</span><span style="color: #0000FF;">,</span><span style="color: #000000;">0</span><span style="color: #0000FF;">}},{{</span><span style="color: #000000;">10</span><span style="color: #0000FF;">,</span><span style="color: #000000;">0</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">10</span><span style="color: #0000FF;">,</span><span style="color: #000000;">10</span><span style="color: #0000FF;">}},{{</span><span style="color: #000000;">10</span><span style="color: #0000FF;">,</span><span style="color: #000000;">10</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">10</span><span style="color: #0000FF;">}},{{</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">10</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: #004600;">true</span><span style="color: #0000FF;">,</span><span style="color: #004600;">true</span><span style="color: #0000FF;">,</span><span style="color: #004600;">false</span><span style="color: #0000FF;">,</span><span style="color: #004600;">false</span><span style="color: #0000FF;">,</span><span style="color: #004600;">true</span><span style="color: #0000FF;">,</span><span style="color: #004600;">true</span><span style="color: #0000FF;">,</span><span style="color: #004600;">false</span><span style="color: #0000FF;">}},</span>
<span style="color: #0000FF;">{</span><span style="color: #008000;">"square hole"</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: #000000;">10</span><span style="color: #0000FF;">,</span><span style="color: #000000;">0</span><span style="color: #0000FF;">}},{{</span><span style="color: #000000;">10</span><span style="color: #0000FF;">,</span><span style="color: #000000;">0</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">10</span><span style="color: #0000FF;">,</span><span style="color: #000000;">10</span><span style="color: #0000FF;">}},{{</span><span style="color: #000000;">10</span><span style="color: #0000FF;">,</span><span style="color: #000000;">10</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">10</span><span style="color: #0000FF;">}},{{</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">10</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;">2.5</span><span style="color: #0000FF;">,</span><span style="color: #000000;">2.5</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">7.5</span><span style="color: #0000FF;">,</span><span style="color: #000000;">2.5</span><span style="color: #0000FF;">}},{{</span><span style="color: #000000;">7.5</span><span style="color: #0000FF;">,</span><span style="color: #000000;">2.5</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">7.5</span><span style="color: #0000FF;">,</span><span style="color: #000000;">7.5</span><span style="color: #0000FF;">}},{{</span><span style="color: #000000;">7.5</span><span style="color: #0000FF;">,</span><span style="color: #000000;">7.5</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">2.5</span><span style="color: #0000FF;">,</span><span style="color: #000000;">7.5</span><span style="color: #0000FF;">}},{{</span><span style="color: #000000;">2.5</span><span style="color: #0000FF;">,</span><span style="color: #000000;">7.5</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">2.5</span><span style="color: #0000FF;">,</span><span style="color: #000000;">2.5</span><span style="color: #0000FF;">}}},</span>
<span style="color: #0000FF;">{</span><span style="color: #004600;">false</span><span style="color: #0000FF;">,</span><span style="color: #004600;">true</span><span style="color: #0000FF;">,</span><span style="color: #004600;">false</span><span style="color: #0000FF;">,</span><span style="color: #004600;">false</span><span style="color: #0000FF;">,</span><span style="color: #004600;">true</span><span style="color: #0000FF;">,</span><span style="color: #004600;">true</span><span style="color: #0000FF;">,</span><span style="color: #004600;">false</span><span style="color: #0000FF;">}},</span>
<span style="color: #0000FF;">{</span><span style="color: #008000;">"strange"</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;">5</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">2.5</span><span style="color: #0000FF;">,</span><span style="color: #000000;">2.5</span><span style="color: #0000FF;">}},{{</span><span style="color: #000000;">2.5</span><span style="color: #0000FF;">,</span><span style="color: #000000;">2.5</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">10</span><span style="color: #0000FF;">}},{{</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">10</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">2.5</span><span style="color: #0000FF;">,</span><span style="color: #000000;">7.5</span><span style="color: #0000FF;">}},{{</span><span style="color: #000000;">2.5</span><span style="color: #0000FF;">,</span><span style="color: #000000;">7.5</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">7.5</span><span style="color: #0000FF;">,</span><span style="color: #000000;">7.5</span><span style="color: #0000FF;">}},</span>
<span style="color: #0000FF;">{{</span><span style="color: #000000;">7.5</span><span style="color: #0000FF;">,</span><span style="color: #000000;">7.5</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">10</span><span style="color: #0000FF;">,</span><span style="color: #000000;">10</span><span style="color: #0000FF;">}},{{</span><span style="color: #000000;">10</span><span style="color: #0000FF;">,</span><span style="color: #000000;">10</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">10</span><span style="color: #0000FF;">,</span><span style="color: #000000;">0</span><span style="color: #0000FF;">}},{{</span><span style="color: #000000;">10</span><span style="color: #0000FF;">,</span><span style="color: #000000;">0</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">2.5</span><span style="color: #0000FF;">,</span><span style="color: #000000;">2.5</span><span style="color: #0000FF;">}}},</span>
<span style="color: #0000FF;">{</span><span style="color: #004600;">true</span><span style="color: #0000FF;">,</span><span style="color: #004600;">false</span><span style="color: #0000FF;">,</span><span style="color: #004600;">false</span><span style="color: #0000FF;">,</span><span style="color: #004600;">false</span><span style="color: #0000FF;">,</span><span style="color: #004600;">true</span><span style="color: #0000FF;">,</span><span style="color: #004600;">true</span><span style="color: #0000FF;">,</span><span style="color: #004600;">false</span><span style="color: #0000FF;">}},</span>
<span style="color: #0000FF;">{</span><span style="color: #008000;">"exagon"</span><span style="color: #0000FF;">,</span> <span style="color: #0000FF;">{{{</span><span style="color: #000000;">3</span><span style="color: #0000FF;">,</span><span style="color: #000000;">0</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">7</span><span style="color: #0000FF;">,</span><span style="color: #000000;">0</span><span style="color: #0000FF;">}},{{</span><span style="color: #000000;">7</span><span style="color: #0000FF;">,</span><span style="color: #000000;">0</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">10</span><span style="color: #0000FF;">,</span><span style="color: #000000;">5</span><span style="color: #0000FF;">}},{{</span><span style="color: #000000;">10</span><span style="color: #0000FF;">,</span><span style="color: #000000;">5</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">7</span><span style="color: #0000FF;">,</span><span style="color: #000000;">10</span><span style="color: #0000FF;">}},{{</span><span style="color: #000000;">7</span><span style="color: #0000FF;">,</span><span style="color: #000000;">10</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">3</span><span style="color: #0000FF;">,</span><span style="color: #000000;">10</span><span style="color: #0000FF;">}},{{</span><span style="color: #000000;">3</span><span style="color: #0000FF;">,</span><span style="color: #000000;">10</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">5</span><span style="color: #0000FF;">}},{{</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">5</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">3</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: #004600;">true</span><span style="color: #0000FF;">,</span><span style="color: #004600;">true</span><span style="color: #0000FF;">,</span><span style="color: #004600;">false</span><span style="color: #0000FF;">,</span><span style="color: #004600;">false</span><span style="color: #0000FF;">,</span><span style="color: #004600;">true</span><span style="color: #0000FF;">,</span><span style="color: #004600;">true</span><span style="color: #0000FF;">,</span><span style="color: #004600;">false</span><span style="color: #0000FF;">}}</span>
<span style="color: #0000FF;">}</span>
<span style="color: #004080;">sequence</span> <span style="color: #000000;">name</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">poly</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">expected</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">tp</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: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">test_polygons</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span>
<span style="color: #0000FF;">{</span><span style="color: #000000;">name</span><span style="color: #0000FF;">,</span><span style="color: #000000;">poly</span><span style="color: #0000FF;">,</span><span style="color: #000000;">expected</span><span style="color: #0000FF;">}</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">test_polygons</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">]</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: #008000;">"\n%12s:"</span><span style="color: #0000FF;">,{</span><span style="color: #000000;">name</span><span style="color: #0000FF;">})</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">j</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">test_points</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span>
<span style="color: #000000;">tp</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">test_points</span><span style="color: #0000FF;">[</span><span style="color: #000000;">j</span><span style="color: #0000FF;">]</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: #008000;">" %s, %-4s"</span><span style="color: #0000FF;">,{</span><span style="color: #7060A8;">sprint</span><span style="color: #0000FF;">(</span><span style="color: #000000;">tp</span><span style="color: #0000FF;">),</span><span style="color: #000000;">instr</span><span style="color: #0000FF;">(</span><span style="color: #000000;">inside</span><span style="color: #0000FF;">(</span><span style="color: #000000;">tp</span><span style="color: #0000FF;">,</span><span style="color: #000000;">poly</span><span style="color: #0000FF;">),</span><span style="color: #000000;">expected</span><span style="color: #0000FF;">[</span><span style="color: #000000;">j</span><span style="color: #0000FF;">])})</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: #7060A8;">puts</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"\n\n\n"</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;">0</span> <span style="color: #008080;">to</span> <span style="color: #000000;">10</span> <span style="color: #008080;">do</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">j</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">test_polygons</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span>
<span style="color: #7060A8;">puts</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">" "</span><span style="color: #0000FF;">)</span>
<span style="color: #000000;">poly</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">test_polygons</span><span style="color: #0000FF;">[</span><span style="color: #000000;">j</span><span style="color: #0000FF;">][</span><span style="color: #000000;">2</span><span style="color: #0000FF;">]</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">k</span><span style="color: #0000FF;">=</span><span style="color: #000000;">0</span> <span style="color: #008080;">to</span> <span style="color: #000000;">10</span> <span style="color: #008080;">do</span>
<span style="color: #7060A8;">puts</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #000000;">instar</span><span style="color: #0000FF;">(</span><span style="color: #000000;">inside</span><span style="color: #0000FF;">({</span><span style="color: #000000;">k</span><span style="color: #0000FF;">+</span><span style="color: #000000;">0.5</span><span style="color: #0000FF;">,</span><span style="color: #000000;">10.5</span><span style="color: #0000FF;">-</span><span style="color: #000000;">i</span><span style="color: #0000FF;">},</span><span style="color: #000000;">poly</span><span style="color: #0000FF;">)))</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: #7060A8;">puts</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"\n"</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<!--</lang>-->
{{out}}
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