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Unified Diff: tools/pathops_sorter.htm

Issue 131103009: update pathops to circle sort (Closed) Base URL: https://skia.googlesource.com/skia.git@master
Patch Set: disable old test that still fails on linux 32 release Created 6 years, 8 months ago
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Index: tools/pathops_sorter.htm
diff --git a/tools/pathops_sorter.htm b/tools/pathops_sorter.htm
new file mode 100644
index 0000000000000000000000000000000000000000..216d35b46c391717da78690163810c3506dea78d
--- /dev/null
+++ b/tools/pathops_sorter.htm
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+<div id="simplifyQuadratic58">
+{{326.236786,205.854996}, {329.104431,231.663818}, {351.512085,231.663818}}
+{{303.12088,141.299606}, {330.463562,217.659027}}
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+<div id="simplifyQuadratic58a">
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+{{{303.12088012695312, 141.29960632324219}, {330.46356201171875, 217.65902709960937}
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+<div id="quadratic58again">
+{{322.935669,231.030273}, {312.832214,220.393295}, {312.832214,203.454178}}
+{{322.12738,233.397751}, {295.718353,159.505829}}
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+<div id="simplifyQuadratic56">
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+{{{380.29449462890625, 140.44486999511719}, {388.29925537109375, 136.67460632324219}, {398.16494750976562, 136.67460632324219}}}
+{{{380.29449462890625, 140.44486999511719}, {387.692810, 137.858429}}}
+</div>
+
+<div id="simplifyQuadratic56a">
+{{{380.29449462890625, 140.44486999511719}, {387.29079954793264, 136.67460632324219}, {396.0399169921875, 136.67460632324219}}}
+{{{380.29449462890625, 140.44486999511719}, {388.29925767018653, 136.67460632324219}, {398.16494750976562, 136.67460632324219}}}
+{{fX=380.29449462890625 fY=140.44486999511719 }, {fX=398.16494750976562 fY=136.67460632324219 }} }
+{{fX=380.29449462890625 fY=140.44486999511719 }, {fX=396.03991699218750 fY=136.67460632324219 }}
+</div>
+
+<div id="simplifyQuadratic27">
+{{{1, 1}, {1, 0.666666687f}, {0.888888896f, 0.444444448f}}}
+{{{1, 1}, {1, 0.5f}, {0, 0}}}
+{{fX=1.0000000000000000 fY=1.0000000000000000 }, {fX=0.00000000000000000 fY=0.00000000000000000 }} }
+{{fX=1.0000000000000000 fY=1.0000000000000000 }, {fX=0.88888889551162720 fY=0.44444444775581360 }} }
+</div>
+
+<div id="cubicOp7d">
+{{{0.7114982008934021, 1.6617077589035034}, {0.51239079236984253, 1.4952657222747803}, {0.27760171890258789, 1.2776017189025879}, {0, 1}}}
+{{{0.7114982008934021, 1.6617077589035034}, {0.20600014925003052, 1.7854888439178467}, {9.8686491813063348e-017, 1.9077447652816772}, {0, 1}}}
+</div>
+
+<div id="cubicOp25i">
+{{{3.3856770992279053, 1.6298094987869263}, {3.777235186270762, 1.2744716237277114}, {3.7191683314895783, 1.4127666421509713}, {3.3995792865753174, 1.6371387243270874}}}
+{{{3.3856770992279053, 1.6298094987869263}, {3.3902986605112582, 1.6322361865810757}, {3.3949326825525121, 1.6346792563210237}, {3.3995792865753174, 1.6371387243270874}}}
+{{3.3856770992279053, 1.6298094987869263 }, {3.3995792865753174, 1.6371387243270874 }}
+</div>
+
+<div id="eldorado1">
+{{{1006.69513f, 291}, {1023.26367f, 291}, {1033.84021f, 304.431458f}, {1030.31836f, 321}}}
+{{{1030.318359375, 321}, {1036.695068359375, 291}}}
+{{fX=1030.3183593750000 fY=321.00000000000000 }, {fX=1006.6951293945312 fY=291.00000000000000 }} }
+</div>
+
+<div id="carpetplanet1">
+{{fX=67.000000000000000, 913.00000000000000 }, {194.00000000000000, 1041.0000000000000 }} }
+{{fX=67.000000000000000, 913.00000000000000 }, {67.662002563476562, 926.00000000000000 }} }
+{{{67, 913}, {67, 917.388977f}, {67.223999f, 921.726013f}, {67.6620026f, 926}}}
+{{{67, 913}, {67, 983.692017f}, {123.860001f, 1041}, {194, 1041}}}
+{{{67, 913}, {67.17070902440698, 919.69443917507760}}}
+</div>
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+<div id="cubicOp104">
+{{{2.25, 2.5}, {4.5, 1}}}
+{{{2.25, 2.5}, {3.0833333333333321, 1.9999999999999973}, {4.0277778307596899, 1.2777777777777759}, {4.8611111640930176, 1}}}
+{{{2.25, 2.5}, {1.9476099234472042, 2.6814340459316774}, {1.6598502000264239, 2.8336073904096661}, {1.3973386287689209, 2.9246666431427002}}}
+{{{2.25, 2.5}, {1.2674896717071533, 3.1550068855285645}}}
+</div>
+
+<div id="cubicOp105">
+{{{2.4060275554656982, 3.4971563816070557}, {2.9702522134213849, 4.2195279679982622}, {3.8172613958721247, 5.0538091166976979}, {5, 6}}}
+{{{2.4060275554656982, 3.4971563816070557}, {3.4194286958002023, 3.5574883660881684}, {4.0077197935900575, 2.6628073781813661}, {2.2602717876434326, 0.33545622229576111}}}
+</div>
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+<div id="cubicOp106">
+{{{0.80825299024581909, 1.9691258668899536}, {0.8601454496383667, 1.9885541200637817}, {0.92434978485107422, 2}, {1, 2}}}
+{{{0.80825299024581909, 1.9691258668899536}, {2.2400102615356445, 3.5966837406158447}, {2.5486805438995361, 3.362929105758667}, {2.494147777557373, 2.5976591110229492}}}
+{{{0.80825299024581909, 1.9691258668899536}, {2.494147777557373, 2.5976591110229492}}}
+{{{0.80825299024581909, 1.9691258668899536}, {1, 2}}}
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+<div id="cubicOp109">
+{{{5, 4}, {5.443139240552143931, 3.556860759447856069}, {5.297161243696338673, 3.702838775882067335}, {4.649086475372314453, 3.654751062393188477}}}
+{{{5, 4}, {4.876459521889748849, 3.876459521889748849}, {4.759596556247283949, 3.761504502886134915}, {4.649086475372314453, 3.654751062393188477}}}
+</div>
+
+<div id="skpwww_joomla_org_23">
+{{{421, 378}, {421, 380.209137f}, {418.761414f, 382}, {416, 382}}}
+{{{320, 378}, {421, 378.000031f}}}
+{{{421, 378.000031f}, {421, 383}}}
+{{{416, 383}, {418.761414f, 383}, {421, 380.761414f}, {421, 378}}}
+</div>
+
+<div id="xop1i">
+{{5.000,1.000}, {5.191,0.809}, {5.163,0.837}, {4.993,1.000}}
+{{5.000,1.000}, {4.968,1.024}}
+{{5.000,1.000}, {4.998,1.000}, {4.995,1.000}, {4.993,1.000}}
+</div>
+
+<div id="xop1u">
+{{3.500,3.500}, {3.000,4.000}, {2.500,4.500}, {1.000,4.000}}
+{{3.500,3.500}, {3.113,3.887}, {2.725,4.275}, {2.338,3.732}}
+</div>
+
+<div id="xOp2i">
+{{{2, 3}, {1.3475509011665685, 4.9573472965002949}, {2.8235509286078759, 3.5091759365574173}, {3.6505906581878662, 1.9883773326873779}}}
+{{{2, 3}, {2.4604574005585795, 2.654656949581065}, {3.0269255632437986, 2.3093137214344743}, {3.6505906581878662, 1.9883773326873779}}}
+{{{2, 3}, {1.0000000000000013, 3.7500000000000004}, {0.500000000000001, 4.5}, {1, 5}}}
+</div>
+
+<div id="testQuadratic56">
+{{{380.29449462890625, 140.44486999511719}, {379.59701460635523, 140.8207374882179}, {378.91729736328125, 141.23385620117187}}}
+{{{380.29449462890625, 140.44486999511719}, {387.29079954793264, 136.67460632324219}, {396.0399169921875, 136.67460632324219}}}
+{{{380.29449462890625, 140.44486999511719}, {388.29925767018653, 136.67460632324219}, {398.16494750976562, 136.67460632324219}}}
+</div>
+
+<div id="testQuad15">
+{{{1, 3}, {1, 1}}}
+{{{1, 3}, {0, 0}}}
+{{{1, 3}, {2, 0}, {0, 0}}}
+</div>
+
+<div id="testQuad21">
+{{{0, 0}, {1, 1}}}
+{{{0, 0}, {3, 0}, {2, 3}}}
+{{{0, 0}, {2, 3}}}
+{{{0, 0}, {2, 1}}}
+</div>
+
+<div id="testQuad22">
+{{{0, 0}, {1.2000000476837158, 0.80000001192092896}}}
+{{{0, 0}, {2, 0}}}
+{{{0, 0}, {0, 1}, {3, 2}}}
+{{{0, 0}, {1, 1}}}
+</div>
+
+<div id="testQuad23">
+{{{1, 3}, {1.9090908914804459, 1.1818182170391081}, {0.33884298801422119, 1.0165289640426636}}}
+{{{1, 3}, {0.33884298801422119, 1.0165289640426636}}}
+{{{1, 3}, {3, 0}}}
+</div>
+
+<div id="cubicOp35d">
+{{{2.211416482925415, 1.6971458196640015}, {1.2938009262874868, 2.8273619288830005}, {0.64690048634813535, 3.5876019453925414}, {0, 1}}}
+{{{2.211416482925415, 1.6971458196640015}, {1.0082962512969971, 1.997925877571106}}}
+{{{2.211416482925415, 1.6971458196640015}, {5, 1}}}
+</div>
+
+<div id="skpnational_com_au81">
+{{{1110.7071533203125, 817.29290771484375}, {1110.9998779296875, 817.58587646484375}, {1111, 818}}}
+{{{1110.7071533203125, 817.29290771484375}, {1110.526180767307778, 817.1119214508684081}, {1110.276144384999725, 817}, {1110, 817}}}
+{{{1110.7071533203125, 817.29290771484375}, {1110.888097894721341, 817.4738660071997174}, {1111, 817.7238677851287321}, {1111, 818}}}
+{{{1110.7071533203125, 817.29290771484375}, {1110.4140625, 817.0001220703125}, {1110, 817}}}
+</div>
+
+<div id="cubicOp85d">
+{{{1.0648664236068726, 2.9606373310089111}, {0.80208036362614099, 2.7936484180272374}, {0.49170560730211144, 2.2292640182552783}, {0, 1}}}
+{{{1.0648664236068726, 2.9606373310089111}, {0.6261905430171294, 3.2248910899179175}, {0.38860045191888659, 2.9430022595944321}, {0, 1}}}
+{{{1.0648664236068726, 2.9606373310089111}, {1.4282355765013004, 3.191542348791669}, {1.7006143409852195, 2.6626209548338378}, {2.2355968952178955, 2.0810616016387939}}}
+{{{1.0648664236068726, 2.9606373310089111}, {1.3437142856601656, 2.7926622975690494}, {1.7038131304059798, 2.4040122748806132}, {2.2355968952178955, 2.0810616016387939}}}
+</div>
+
+<div id="testQuads22">
+{{{0, 0}, {1.20000004768371582, 0.8000000119209289551}}}
+{{{0, 0}, {2, 0}}}
+{{{0, 0}, {0, 1}, {3, 2}}}
+{{{0, 0}, {1, 1}}}
+</div>
+
+<div id="cubicOp59d">
+{{{4, 1}, {4, 0.37698365082686142}, {4.3881493046286568, 2.4710128800004547}, {3.4716842174530029, 2.9292664527893066}}}
+{{{4, 1}, {0, 1}}}
+</div>
+
+<div id="findFirst1">
+{{{2.5767931938171387, 0.88524383306503296}, {2.4235948002142855, 0.88692501490384834}, {2.2328897699358898, 0.92237007668803672}, {2, 1}}}
+{{{2.5767931938171387, 0.88524383306503296}, {1.6008643534817426, 1.1609015907463158}, {1.1200849961943122, 1.8138386966264941}, {0.75343161821365356, 2.7170474529266357}}}
+{{{2.5767931938171387, 0.88524383306503296}, {4.0492746201577932, 0.86908498848619054}, {2.0567957107800288, 3.9721309710522448}, {0.75343161821365356, 2.7170474529266357}}}
+{{{2.5767931938171387, 0.88524383306503296}, {3.3470152174198557, 0.66768936887879282}, {4.4256496583071421, 0.68512993166142844}, {6, 1}}}
+{{{2.57679319, 0.885243833}, {5.15358639, 0.885243833}}}
+</div>
+
+<div id="testQuads54">
+{{1.000,1.000}, {1.500,0.500}, {1.500,0.250}}
+{{1.000,1.000}, {1.667,0.333}}
+{{1.000,1.000}, {2.000,3.000}}
+</div>
+
+<div id="testQuads45">
+{{{3, 3}, {3, 2.7999999523162842}, {2.880000114440918, 2.6400001049041748}}}
+{{{3, 3}, {3, 2}, {2, 0}}}
+{{{3, 3}, {2, 0}}}
+{{{3, 3}, {2.880000114440918, 2.6400001049041748}}}
+</div>
+
+<div id="testQuads59">
+{{{3, 1}, {3, 0}}}
+{{{3, 1}, {2.6666667461395264, 0.66666668653488159}}}
+{{{3, 1}, {2.8000003099441542, 1.1999996900558463}, {2.6800000667572021, 1.3600000143051147}}}
+{{{3, 1}, {2.6666667461395264, 1.3333333730697632}}}
+</div>
+
+<div id="skpcarrot_is24">
+{{{1020.08099, 672.161987}, {1020.08051, 651.450988}, {1011.68576, 632.700988}, {998.113511, 619.128738}}}
+{{{1020.08099, 672.161987}, {1019.27607, 640.291301}, {998.113511, 619.128738}}}
+{{{1020, 672}, {1020, 651.289307}, {1012.67767, 633.611633}, {998.03302, 618.96698}}}
+{{{1020, 672}, {1020, 640.93396}, {998.03302, 618.96698}}}
+</div>
+
+<div id="skpcarrot_is24a">
+{{{1020, 672}, {1020, 651.289307}, {1012.67767, 633.611633}, {998.03302, 618.96698}}}
+{{{1020, 672}, {1020, 640.93396}, {998.03302, 618.96698}}}
+</div>
+
+<div id="skpcarrot_is24b">
+{{{1020.08099, 672.161987}, {1020.08051, 651.450988}, {1011.68576, 632.700988}, {998.113511, 619.128738}}}
+{{{1020.08099, 672.161987}, {1019.27607, 640.291301}, {998.113511, 619.128738}}}
+</div>
+
+<div id="skpcarrot_is24c">
+{{{{1020.08099,672.161987}, {1020.08002,630.73999}, {986.502014,597.161987}, {945.080994,597.161987}}},
+{{{1020,672}, {1020,640.93396}, {998.03302,618.96698}}},
+</div>
+
+<div id="skpcarrot_is24d">
+{{{1020.08099, 672.161987}, {1019.27607, 640.291301}, {998.113511, 619.128738}}}
+{{{1020, 672}, {1020, 640.93396}, {998.03302, 618.96698}}}
+</div>
+
+<div id="skpcarrot_is24e">
+{{{{1020.08099,672.161987}, {1020.08002,630.73999}, {986.502014,597.161987}, {945.080994,597.161987}}},
+{{{1020.08099, 672.161987}, {1019.27607, 640.291301}, {998.113511, 619.128738}}}
+{{{1020, 672}, {1020, 640.93396}, {998.03302, 618.96698}}}
+</div>
+
+<div id="slop1">
+{{{-378.22698974609375, -987.8935546875}, {-47.53326416015625, 482.7139892578125}, {-626.4708251953125, -338.62969970703125}, {-847.94854736328125, -861.42230224609375}}}
+{{{-378.61790442466736, -987.49146723747253}, {-282.51787429804051, -556.39065286764685}, {-278.55106873374694, -364.17984985308294}}}
+{{{-305.5273847156202, -615.99979442705023}, {-305.04071954345704, -612.87932617187505}}}
+</div>
+
+qT=0.98917687 cT=0.788725084 dist=312.188493 cross=-40759.4852
+<div id="slop2">
+{{{79.5137939,-249.867188}, {260.778931,-561.349854}, {343.375977,-472.657898}, {610.251465,97.8208008}}}
+{{{312.993284,-406.178762}, {418.053808,-326.9483}, {610.036929,97.2408578}}}
+{{{463.107827,-200.015424}, {602.008878,79.5702581}}}
+</div>
+
+qT=0.0192863061 cT=0.241285225 dist=652.007881 cross=528435.665
+<div id="slop3">
+{{{-895.015015,-523.545288}, {223.166992,-999.644531}, {615.428711,-767.162109}, {605.479736,480.355713}}}
+{{{-894.932414,-523.605499}, {-66.4040558,-889.938889}, {278.515212,-667.684158}}}
+{{{-207.851881,-740.109296}, {-831.819002,-550.955104}}}
+</div>
+
+qT=0.0245724525 cT=0.231316637 dist=407.103004 cross=-46286.5686
+<div id="slop4">
+{{{876.492798,-849.716187}, {519.430908,-288.374207}, {187.2771,314.324341}, {335.363403,533.086548}}}
+{{{876.323133,-849.535824}, {594.868958,-415.229224}, {416.667192,-30.0277669}}}
+{{{638.343827,-458.798274}, {849.023879,-807.14691}}}
+</div>
+
+qT=0.000316393778 cT=0.248252634 dist=489.678412 cross=-57352.7653
+<div id="slop5">
+{{{876.492798,-849.716187}, {519.430908,-288.374207}, {187.2771,314.324341}, {335.363403,533.086548}}}
+{{{876.147506,-849.184429}, {593.963775,-414.437342}, {416.842819,-30.3791618}}}
+{{{622.139843,-430.512844}, {876.135915,-849.166571}}}
+</div>
+
+qT=0.989562776 cT=0.760518485 dist=211.50589 cross=134901.42
+<div id="slop6">
+{{{876.492798,-849.716187}, {519.430908,-288.374207}, {187.2771,314.324341}, {335.363403,533.086548}}}
+{{{416.141554,-30.4534414}, {237.846068,356.664216}, {335.719378,533.692585}}}
+{{{305.345404,315.701195}, {331.440368,525.591152}}}
+</div>
+
+qT=0.0978245708 cT=0.397465904 dist=959.737748 cross=158093.403
+<div id="slop7">
+{{{895.800171,-222.213013}, {-528.78833,526.47644}, {-967.299927,776.05603}, {-611.228027,319.934814}}}
+{{{629.666617,-82.159942}, {-661.943328,620.81113}, {-723.44072,537.121833}}}
+{{{-347.560585,421.003177}, {507.062151,-15.707855}}}
+</div>
+
+qT=0.169803964 cT=0.389326872 dist=658.039939 cross=107865.424
+<div id="slop8">
+{{{895.800171,-222.213013}, {-528.78833,526.47644}, {-967.299927,776.05603}, {-611.228027,319.934814}}}
+{{{629.536617,-81.7990275}, {-662.457623,620.485316}, {-723.31072,536.760918}}}
+{{{-330.996421,413.091598}, {257.080063,117.824582}}}
+</div>
+
+qT=0.0863836955 cT=0.387901231 dist=986.24777 cross=157348.113
+<div id="slop9">
+{{{895.800171,-222.213013}, {-528.78833,526.47644}, {-967.299927,776.05603}, {-611.228027,319.934814}}}
+{{{629.248316,-81.8984216}, {-662.339696,620.351182}, {-723.022419,536.860313}}}
+{{{-328.058099,411.68229}, {549.399512,-38.5985162}}}
+</div>
+
+qT=0.175359403 cT=0.390420692 dist=640.051938 cross=105488.084
+<div id="slop10">
+{{{895.800171,-222.213013}, {-528.78833,526.47644}, {-967.299927,776.05603}, {-611.228027,319.934814}}}
+{{{629.760605,-81.9577046}, {-661.301606,620.029216}, {-723.534707,536.919596}}}
+{{{-333.243516,414.168229}, {238.961251,127.37878}}}
+</div>
+
+qT=0.0986412358 cT=0.382365595 dist=921.951857 cross=145651.761
+<div id="slop11">
+{{{895.800171,-222.213013}, {-528.78833,526.47644}, {-967.299927,776.05603}, {-611.228027,319.934814}}}
+{{{629.919588,-82.1841825}, {-662.488256,620.04494}, {-723.693691,537.146073}}}
+{{{-316.541641,406.142013}, {504.067361,-14.0913644}}}
+</div>
+
+qT=0.146746849 cT=0.391456086 dist=750.006927 cross=123679.094
+<div id="slop12">
+{{{895.800171,-222.213013}, {-528.78833,526.47644}, {-967.299927,776.05603}, {-611.228027,319.934814}}}
+{{{629.712675,-82.0366321}, {-661.487948,620.191832}, {-723.486777,536.998523}}}
+{{{-335.364605,415.183549}, {334.079508,77.0194322}}}
+</div>
+
+qT=0.00196158131 cT=0.20357489 dist=466.080185 cross=241741.95
+<div id="slop13">
+{{{-627.671509,-359.277039}, {222.414551,-791.598328}, {390.603027,-581.903687}, {-21.7962036,560.33728}}}
+{{{-627.675958,-359.282959}, {-52.012535,-659.029798}, {116.967835,-524.756101}}}
+{{{-192.427848,-541.033993}, {-622.696937,-361.871356}}}
+</div>
+
+qT=0.948725598 cT=0.744200608 dist=699.694313 cross=179509.878
+<div id="slop14">
+{{{-362.331848,427.292603}, {634.418701,-661.946533}, {438.438599,-626.147278}, {-893.060425,214.243408}}}
+{{{259.978301,-393.549091}, {181.692599,-474.452437}, {-892.389834,213.689096}}}
+{{{-95.1310032,-267.365579}, {-696.89984,89.6307768}}}
+</div>
+
+qT=0.971677129 cT=0.755306143 dist=771.998962 cross=189468.817
+<div id="slop15">
+{{{-362.331848,427.292603}, {634.418701,-661.946533}, {438.438599,-626.147278}, {-893.060425,214.243408}}}
+{{{259.662278,-393.355886}, {181.612843,-473.935297}, {-892.073812,213.495892}}}
+{{{-120.438346,-253.451518}, {-782.461182,143.673352}}}
+</div>
+
+qT=0.571797795 cT=0.773951562 dist=495.560209 cross=221091.889
+<div id="slop16">
+{{{447.192383,-883.210205}, {359.794678,-987.765808}, {755.427612,-754.328735}, {963.672119,746.545776}}}
+{{{635.795655,-580.726915}, {810.704547,-228.491534}, {963.345162,745.921688}}}
+{{{801.470356,-87.7105789}, {646.551495,-558.433498}}}
+</div>
+
+qT=0.579236693 cT=0.782683167 dist=281.750564 cross=65125.1655
+<div id="slop17">
+{{{-931.259155,-883.589966}, {-485.682007,-615.793701}, {-68.5913696,-928.695923}, {431.499268,-810.584778}}}
+{{{-177.087049,-804.265618}, {110.452267,-866.525236}, {430.718323,-810.414444}}}
+{{{116.080189,-836.904702}, {-164.080748,-807.017753}}}
+</div>
+
+qT=0.0102075348 cT=0.2448024 dist=855.408492 cross=463614.179
+<div id="slop18">
+{{{-867.011292,844.139282}, {-136.156799,-281.244263}, {583.27771,-926.761414}, {998.710205,6.19244385}}}
+{{{-866.7221,843.65105}, {-308.756317,-34.8353977}, {183.843514,-346.222431}}}
+{{{-336.612013,120.039627}, {-844.283739,808.5112}}}
+</div>
+
+qT=0.473968306 cT=0.266805943 dist=567.851844 cross=-461509.104
+<div id="slop19">
+{{{-867.011292,844.139282}, {-136.156799,-281.244263}, {583.27771,-926.761414}, {998.710205,6.19244385}}}
+{{{-867.218781,844.133445}, {-310.496711,-35.0458119}, {184.340195,-346.704825}}}
+{{{-290.018097,66.7065093}, {132.536746,-312.639141}}}
+</div>
+
+qT=0.0232589401 cT=0.241085469 dist=789.989464 cross=428119.544
+<div id="slop20">
+{{{-867.011292,844.139282}, {-136.156799,-281.244263}, {583.27771,-926.761414}, {998.710205,6.19244385}}}
+{{{-866.942271,843.928587}, {-309.178151,-34.0018497}, {184.063685,-346.499968}}}
+{{{-344.507162,129.265381}, {-815.30119,763.644082}}}
+</div>
+
+<div id="skpnamecheap_405">
+{{{141.008835f, 837.9646f}, {141.235291f, 1109.05884f}}}
+{{{141, 842}, {141.14502f, 1000}}}
+{{{141.14502f, 1000}, {140, 1000}}}
+</div>
+
+<div id="skpwww_dealnews_com_315">
+{{{969.87066650390625, 4279.810546875}, {967.7166748046875, 4260}}}
+{{{969.87066650390625, 4279.810546875}, {969.866972698829386, 4279.809233889284769}, {969.88751220703125, 4279.81640625}}}
+{{{969.87066650390625, 4279.810546875}, {970, 4281}}}
+{{{969.87066650390625, 4279.810546875}, {968.9217161046863112, 4279.473236623693992}, {968.17156982421875, 4278.53564453125}}}
+{{{969.8706626470486754, 4279.810469740555163}, {969.8790796016525064, 4279.813461598796493}, {969.88751220703125, 4279.81640625}}}
+</div>
+
+<div id="skpwww_dealnews_com_315_a">
+{{{969.8706626470486754, 4279.810469740555163}, {969.8790796016525064, 4279.813461598796493}, {969.88751220703125, 4279.81640625}}}
+{{{969.87066650390625, 4279.810546875}, {969.8790834585100811, 4279.81353873324133}}}
+{{{969.88751220703125, 4279.81640625}, {969.8790796016525064, 4279.813461598796493}}}
+</div>
+
+<div id="testQuads60">
+{{{2, 2}, {1.977731304590550021, 1.97773134708404541}, {1.95645439624786377, 1.95546269416809082}}}
+{{{2, 2}, {2, 3}}}
+{{{2, 2}, {2, 1.960000038146972656}}}
+{{{2, 2}, {1.955341815948486328, 1.955341815948486328}}}
+</div>
+
+<div id="testQuads60_a">
+{{{2, 0}, {1, 1}, {2, 2}}}
+{{{2, 2}, {0, 0}}}
+</div>
+
+<div id="testQuads60_b">
+{{2,1}, {0,2}, {3,2}},
+{{3,2}, {2,3}},
+{{2,3}, {2,1}},
+{{0,0}, {2,0}},
+{{2,0}, {1,1}, {2,2}},
+{{2,2}, {0,0}},
+</div>
+
+<div id="skpelpais_com_18">
+{{183,8507}, {552,8506.99023}},
+{{552,8506.99023}, {552,8508}},
+{{552,8508}, {183,8508}},
+{{183,8508}, {183,8507}},
+op intersect
+{{183,8508}, {183,8506.99023}},
+{{183,8506.99023}, {552,8507}},
+{{552,8507}, {552,8508}},
+</div>
+
+<div id="skpwww_cityads_ru_249">
+{{{1000, 10.4003992f}, {1000, 13.3527431f}}}
+{{{1000, 13.3527431f}, {999.917603f, 13.2607508f}, {999.82843f, 13.1715727f}}}
+{{{1000, 13}, {999.969971f, 37.0299988f}}}
+</div>
+
+</div>
+
+<script type="text/javascript">
+
+ var testDivs = [
+ skpwww_cityads_ru_249,
+ skpelpais_com_18,
+ testQuads60_b,
+ testQuads60_a,
+ testQuads60,
+ skpwww_dealnews_com_315_a,
+ skpwww_dealnews_com_315,
+ skpnamecheap_405,
+ slop1,
+ slop2,
+ slop3,
+ slop4,
+ slop5,
+ slop6,
+ slop7,
+ slop8,
+ slop9,
+ slop10,
+ slop11,
+ slop12,
+ slop13,
+ slop14,
+ slop15,
+ slop16,
+ slop17,
+ slop18,
+ slop19,
+ slop20,
+ skpcarrot_is24e,
+ skpcarrot_is24d,
+ skpcarrot_is24c,
+ skpcarrot_is24b,
+ skpcarrot_is24a,
+ skpcarrot_is24,
+ testQuads59,
+ testQuads45,
+ testQuads54,
+ findFirst1,
+ cubicOp59d,
+ testQuads22,
+ cubicOp85d,
+ cubicOp104,
+ skpnational_com_au81,
+ cubicOp35d,
+ testQuad23,
+ testQuad22,
+ testQuad21,
+ testQuad15,
+ testQuadratic56,
+ xop1i,
+ xOp2i,
+ xop1u,
+ skpwww_joomla_org_23,
+ cubicOp109,
+ cubicOp106,
+ cubicOp105,
+ carpetplanet1,
+ eldorado1,
+ cubicOp25i,
+ cubicOp7d,
+ simplifyQuadratic27,
+ simplifyQuadratic56a,
+ simplifyQuadratic56,
+ quadratic58again,
+ simplifyQuadratic58a,
+ simplifyQuadratic58,
+ simplifyQuadratic36,
+ quad89987,
+ quad8741,
+ quad8b,
+ quad8a,
+ quad208,
+ quad67242,
+ quad37226,
+ quad35237,
+ quad108,
+ quad212,
+ quad3160,
+ quad640,
+ quad206,
+ quad136,
+ quad113,
+ quad999,
+ quad0,
+ quad179,
+ quad4a,
+ quad94,
+ quad77,
+ quad22a,
+ quad14a,
+ quad809,
+ quad653,
+ quad584,
+ quad413,
+ quad379,
+ quad159,
+ quad232,
+ quad40,
+ quad39,
+ quad38,
+ quad37,
+ quad36,
+ quad35,
+ quad34,
+ quad33,
+ quad32,
+ quad31,
+ quad30,
+ quad29,
+ quad28,
+ quad27,
+ quad26,
+ quad25,
+ quad24,
+ quad23,
+ quad22,
+ quad21,
+ quad20,
+ quad19,
+ quad18,
+ quad17,
+ quad16,
+ quad15,
+ quad14,
+ quad13,
+ quad12,
+ quad11,
+ cubic2,
+ cubic1,
+ quad1,
+ quad2,
+ quad3,
+ quad4,
+ quad5,
+ quad6,
+ quad7,
+ quad8,
+ quad9,
+ quad10,
+ ];
+
+ var tests = [];
+ var testTitles = [];
+ var testIndex = 0;
+ var ctx;
+ var subscale = 1;
+ var xmin, xmax, ymin, ymax;
+ var scale;
+ var initScale;
+ var mouseX, mouseY;
+ var mouseDown = false;
+ var srcLeft, srcTop;
+ var screenWidth, screenHeight;
+ var drawnPts;
+ var curveT = 0;
+
+ var lastX, lastY;
+ var activeCurve = [];
+ var activePt;
+
+ var decimal_places = 3;
+
+ var draw_t = false;
+ var draw_closest_t = false;
+ var draw_derivative = false;
+ var draw_endpoints = true;
+ var draw_midpoint = 0;
+ var draw_mouse_xy = false;
+ var draw_order = false;
+ var draw_point_xy = false;
+ var draw_ray_intersect = false;
+ var draw_quarterpoint = 0;
+ var draw_tangents = 1;
+ var draw_sortpoint = 0;
+ var retina_scale = !!window.devicePixelRatio;
+
+ function parse(test, title) {
+ var curveStrs = test.split("{{");
+ var pattern = /-?\d+\.*\d*e?-?\d*/g;
+ var curves = [];
+ for (var c in curveStrs) {
+ var curveStr = curveStrs[c];
+ var points = curveStr.match(pattern);
+ var pts = [];
+ for (var wd in points) {
+ var num = parseFloat(points[wd]);
+ if (isNaN(num)) continue;
+ pts.push(num);
+ }
+ if (pts.length > 2)
+ curves.push(pts);
+ }
+ if (curves.length >= 1) {
+ tests.push(curves);
+ testTitles.push(title);
+ }
+ }
+
+ function init(test) {
+ var canvas = document.getElementById('canvas');
+ if (!canvas.getContext) return;
+ ctx = canvas.getContext('2d');
+ var resScale = retina_scale && window.devicePixelRatio ? window.devicePixelRatio : 1;
+ var unscaledWidth = window.innerWidth - 20;
+ var unscaledHeight = window.innerHeight - 20;
+ screenWidth = unscaledWidth;
+ screenHeight = unscaledHeight;
+ canvas.width = unscaledWidth * resScale;
+ canvas.height = unscaledHeight * resScale;
+ canvas.style.width = unscaledWidth + 'px';
+ canvas.style.height = unscaledHeight + 'px';
+ if (resScale != 1) {
+ ctx.scale(resScale, resScale);
+ }
+ xmin = Infinity;
+ xmax = -Infinity;
+ ymin = Infinity;
+ ymax = -Infinity;
+ for (var curves in test) {
+ var curve = test[curves];
+ var last = curve.length;
+ for (var idx = 0; idx < last; idx += 2) {
+ xmin = Math.min(xmin, curve[idx]);
+ xmax = Math.max(xmax, curve[idx]);
+ ymin = Math.min(ymin, curve[idx + 1]);
+ ymax = Math.max(ymax, curve[idx + 1]);
+ }
+ }
+ xmin -= 1;
+ var testW = xmax - xmin;
+ var testH = ymax - ymin;
+ subscale = 1;
+ while (testW * subscale < 0.1 && testH * subscale < 0.1) {
+ subscale *= 10;
+ }
+ while (testW * subscale > 10 && testH * subscale > 10) {
+ subscale /= 10;
+ }
+ setScale(xmin, xmax, ymin, ymax);
+ mouseX = (screenWidth / 2) / scale + srcLeft;
+ mouseY = (screenHeight / 2) / scale + srcTop;
+ initScale = scale;
+ }
+
+ function setScale(x0, x1, y0, y1) {
+ var srcWidth = x1 - x0;
+ var srcHeight = y1 - y0;
+ var usableWidth = screenWidth;
+ var xDigits = Math.ceil(Math.log(Math.abs(xmax)) / Math.log(10));
+ var yDigits = Math.ceil(Math.log(Math.abs(ymax)) / Math.log(10));
+ usableWidth -= (xDigits + yDigits) * 10;
+ usableWidth -= decimal_places * 10;
+ var hscale = usableWidth / srcWidth;
+ var vscale = screenHeight / srcHeight;
+ scale = Math.min(hscale, vscale);
+ var invScale = 1 / scale;
+ var sxmin = x0 - invScale * 5;
+ var symin = y0 - invScale * 10;
+ var sxmax = x1 + invScale * (6 * decimal_places + 10);
+ var symax = y1 + invScale * 10;
+ srcWidth = sxmax - sxmin;
+ srcHeight = symax - symin;
+ hscale = usableWidth / srcWidth;
+ vscale = screenHeight / srcHeight;
+ scale = Math.min(hscale, vscale);
+ srcLeft = sxmin;
+ srcTop = symin;
+ }
+
+function dxy_at_t(curve, t) {
+ var dxy = {};
+ if (curve.length == 6) {
+ var a = t - 1;
+ var b = 1 - 2 * t;
+ var c = t;
+ dxy.x = a * curve[0] + b * curve[2] + c * curve[4];
+ dxy.y = a * curve[1] + b * curve[3] + c * curve[5];
+ } else if (curve.length == 8) {
+ var one_t = 1 - t;
+ var a = curve[0];
+ var b = curve[2];
+ var c = curve[4];
+ var d = curve[6];
+ dxy.x = 3 * ((b - a) * one_t * one_t + 2 * (c - b) * t * one_t + (d - c) * t * t);
+ a = curve[1];
+ b = curve[3];
+ c = curve[5];
+ d = curve[7];
+ dxy.y = 3 * ((b - a) * one_t * one_t + 2 * (c - b) * t * one_t + (d - c) * t * t);
+ }
+ return dxy;
+}
+
+ var flt_epsilon = 1.19209290E-07;
+
+ function approximately_zero(A) {
+ return Math.abs(A) < flt_epsilon;
+ }
+
+ function approximately_zero_inverse(A) {
+ return Math.abs(A) > (1 / flt_epsilon);
+ }
+
+ function quad_real_roots(A, B, C) {
+ var s = [];
+ var p = B / (2 * A);
+ var q = C / A;
+ if (approximately_zero(A) && (approximately_zero_inverse(p)
+ || approximately_zero_inverse(q))) {
+ if (approximately_zero(B)) {
+ if (C == 0) {
+ s[0] = 0;
+ }
+ return s;
+ }
+ s[0] = -C / B;
+ return s;
+ }
+ /* normal form: x^2 + px + q = 0 */
+ var p2 = p * p;
+ if (!approximately_zero(p2 - q) && p2 < q) {
+ return s;
+ }
+ var sqrt_D = 0;
+ if (p2 > q) {
+ sqrt_D = Math.sqrt(p2 - q);
+ }
+ s[0] = sqrt_D - p;
+ var flip = -sqrt_D - p;
+ if (!approximately_zero(s[0] - flip)) {
+ s[1] = flip;
+ }
+ return s;
+ }
+
+ function cubic_real_roots(A, B, C, D) {
+ if (approximately_zero(A)) { // we're just a quadratic
+ return quad_real_roots(B, C, D);
+ }
+ if (approximately_zero(D)) { // 0 is one root
+ var s = quad_real_roots(A, B, C);
+ for (var i = 0; i < s.length; ++i) {
+ if (approximately_zero(s[i])) {
+ return s;
+ }
+ }
+ s.push(0);
+ return s;
+ }
+ if (approximately_zero(A + B + C + D)) { // 1 is one root
+ var s = quad_real_roots(A, A + B, -D);
+ for (var i = 0; i < s.length; ++i) {
+ if (approximately_zero(s[i] - 1)) {
+ return s;
+ }
+ }
+ s.push(1);
+ return s;
+ }
+ var a, b, c;
+ var invA = 1 / A;
+ a = B * invA;
+ b = C * invA;
+ c = D * invA;
+ var a2 = a * a;
+ var Q = (a2 - b * 3) / 9;
+ var R = (2 * a2 * a - 9 * a * b + 27 * c) / 54;
+ var R2 = R * R;
+ var Q3 = Q * Q * Q;
+ var R2MinusQ3 = R2 - Q3;
+ var adiv3 = a / 3;
+ var r;
+ var roots = [];
+ if (R2MinusQ3 < 0) { // we have 3 real roots
+ var theta = Math.acos(R / Math.sqrt(Q3));
+ var neg2RootQ = -2 * Math.sqrt(Q);
+ r = neg2RootQ * Math.cos(theta / 3) - adiv3;
+ roots.push(r);
+ r = neg2RootQ * Math.cos((theta + 2 * Math.PI) / 3) - adiv3;
+ if (!approximately_zero(roots[0] - r)) {
+ roots.push(r);
+ }
+ r = neg2RootQ * Math.cos((theta - 2 * Math.PI) / 3) - adiv3;
+ if (!approximately_zero(roots[0] - r) && (roots.length == 1
+ || !approximately_zero(roots[1] - r))) {
+ roots.push(r);
+ }
+ } else { // we have 1 real root
+ var sqrtR2MinusQ3 = Math.sqrt(R2MinusQ3);
+ var A = Math.abs(R) + sqrtR2MinusQ3;
+ A = Math.pow(A, 1/3);
+ if (R > 0) {
+ A = -A;
+ }
+ if (A != 0) {
+ A += Q / A;
+ }
+ r = A - adiv3;
+ roots.push(r);
+ if (approximately_zero(R2 - Q3)) {
+ r = -A / 2 - adiv3;
+ if (!approximately_zero(s[0] - r)) {
+ roots.push(r);
+ }
+ }
+ }
+ return roots;
+ }
+
+ function approximately_zero_or_more(tValue) {
+ return tValue >= -flt_epsilon;
+ }
+
+ function approximately_one_or_less(tValue) {
+ return tValue <= 1 + flt_epsilon;
+ }
+
+ function approximately_less_than_zero(tValue) {
+ return tValue < flt_epsilon;
+ }
+
+ function approximately_greater_than_one(tValue) {
+ return tValue > 1 - flt_epsilon;
+ }
+
+ function add_valid_ts(s) {
+ var t = [];
+ nextRoot:
+ for (var index = 0; index < s.length; ++index) {
+ var tValue = s[index];
+ if (approximately_zero_or_more(tValue) && approximately_one_or_less(tValue)) {
+ if (approximately_less_than_zero(tValue)) {
+ tValue = 0;
+ } else if (approximately_greater_than_one(tValue)) {
+ tValue = 1;
+ }
+ for (var idx2 = 0; idx2 < t.length; ++idx2) {
+ if (approximately_zero(t[idx2] - tValue)) {
+ continue nextRoot;
+ }
+ }
+ t.push(tValue);
+ }
+ }
+ return t;
+ }
+
+ function quad_roots(A, B, C) {
+ var s = quad_real_roots(A, B, C);
+ var foundRoots = add_valid_ts(s);
+ return foundRoots;
+ }
+
+ function cubic_roots(A, B, C, D) {
+ var s = cubic_real_roots(A, B, C, D);
+ var foundRoots = add_valid_ts(s);
+ return foundRoots;
+ }
+
+ function ray_curve_intersect(startPt, endPt, curve) {
+ var adj = endPt[0] - startPt[0];
+ var opp = endPt[1] - startPt[1];
+ var r = [];
+ for (var n = 0; n < curve.length / 2; ++n) {
+ r[n] = (curve[n * 2 + 1] - startPt[1]) * adj - (curve[n * 2] - startPt[0]) * opp;
+ }
+ if (curve.length == 6) {
+ var A = r[2];
+ var B = r[1];
+ var C = r[0];
+ A += C - 2 * B; // A = a - 2*b + c
+ B -= C; // B = -(b - c)
+ return quad_roots(A, 2 * B, C);
+ }
+ var A = r[3]; // d
+ var B = r[2] * 3; // 3*c
+ var C = r[1] * 3; // 3*b
+ var D = r[0]; // a
+ A -= D - C + B; // A = -a + 3*b - 3*c + d
+ B += 3 * D - 2 * C; // B = 3*a - 6*b + 3*c
+ C -= 3 * D; // C = -3*a + 3*b
+ return cubic_roots(A, B, C, D);
+ }
+
+ function x_at_t(curve, t) {
+ var one_t = 1 - t;
+ if (curve.length == 4) {
+ return one_t * curve[0] + t * curve[2];
+ }
+ var one_t2 = one_t * one_t;
+ var t2 = t * t;
+ if (curve.length == 6) {
+ return one_t2 * curve[0] + 2 * one_t * t * curve[2] + t2 * curve[4];
+ }
+ var a = one_t2 * one_t;
+ var b = 3 * one_t2 * t;
+ var c = 3 * one_t * t2;
+ var d = t2 * t;
+ return a * curve[0] + b * curve[2] + c * curve[4] + d * curve[6];
+ }
+
+ function y_at_t(curve, t) {
+ var one_t = 1 - t;
+ if (curve.length == 4) {
+ return one_t * curve[1] + t * curve[3];
+ }
+ var one_t2 = one_t * one_t;
+ var t2 = t * t;
+ if (curve.length == 6) {
+ return one_t2 * curve[1] + 2 * one_t * t * curve[3] + t2 * curve[5];
+ }
+ var a = one_t2 * one_t;
+ var b = 3 * one_t2 * t;
+ var c = 3 * one_t * t2;
+ var d = t2 * t;
+ return a * curve[1] + b * curve[3] + c * curve[5] + d * curve[7];
+ }
+
+ function drawPointAtT(curve) {
+ var x = x_at_t(curve, curveT);
+ var y = y_at_t(curve, curveT);
+ drawPoint(x, y);
+ }
+
+ function drawLine(x1, y1, x2, y2) {
+ ctx.beginPath();
+ ctx.moveTo((x1 - srcLeft) * scale,
+ (y1 - srcTop) * scale);
+ ctx.lineTo((x2 - srcLeft) * scale,
+ (y2 - srcTop) * scale);
+ ctx.stroke();
+ }
+
+ function drawPoint(px, py) {
+ for (var pts = 0; pts < drawnPts.length; pts += 2) {
+ var x = drawnPts[pts];
+ var y = drawnPts[pts + 1];
+ if (px == x && py == y) {
+ return;
+ }
+ }
+ drawnPts.push(px);
+ drawnPts.push(py);
+ var _px = (px - srcLeft) * scale;
+ var _py = (py - srcTop) * scale;
+ ctx.beginPath();
+ ctx.arc(_px, _py, 3, 0, Math.PI * 2, true);
+ ctx.closePath();
+ ctx.stroke();
+ if (draw_point_xy) {
+ var label = px.toFixed(decimal_places) + ", " + py.toFixed(decimal_places);
+ ctx.font = "normal 10px Arial";
+ ctx.textAlign = "left";
+ ctx.fillStyle = "black";
+ ctx.fillText(label, _px + 5, _py);
+ }
+ }
+
+ function drawPointSolid(px, py) {
+ drawPoint(px, py);
+ ctx.fillStyle = "rgba(0,0,0, 0.4)";
+ ctx.fill();
+ }
+
+ function crossPt(origin, pt1, pt2) {
+ return ((pt1[0] - origin[0]) * (pt2[1] - origin[1])
+ - (pt1[1] - origin[1]) * (pt2[0] - origin[0])) > 0 ? 0 : 1;
+ }
+
+ // may not work well for cubics
+ function curveClosestT(curve, x, y) {
+ var closest = -1;
+ var closestDist = Infinity;
+ var l = Infinity, t = Infinity, r = -Infinity, b = -Infinity;
+ for (var i = 0; i < 16; ++i) {
+ var testX = x_at_t(curve, i / 16);
+ l = Math.min(testX, l);
+ r = Math.max(testX, r);
+ var testY = y_at_t(curve, i / 16);
+ t = Math.min(testY, t);
+ b = Math.max(testY, b);
+ var dx = testX - x;
+ var dy = testY - y;
+ var dist = dx * dx + dy * dy;
+ if (closestDist > dist) {
+ closestDist = dist;
+ closest = i;
+ }
+ }
+ var boundsX = r - l;
+ var boundsY = b - t;
+ var boundsDist = boundsX * boundsX + boundsY * boundsY;
+ if (closestDist > boundsDist) {
+ return -1;
+ }
+ console.log("closestDist = " + closestDist + " boundsDist = " + boundsDist
+ + " t = " + closest / 16);
+ return closest / 16;
+ }
+
+ function draw(test, title) {
+ ctx.font = "normal 50px Arial";
+ ctx.textAlign = "left";
+ ctx.fillStyle = "rgba(0,0,0, 0.1)";
+ ctx.fillText(title, 50, 50);
+ ctx.font = "normal 10px Arial";
+ // ctx.lineWidth = "1.001"; "0.999";
+ var hullStarts = [];
+ var hullEnds = [];
+ var midSpokes = [];
+ var midDist = [];
+ var origin = [];
+ var shortSpokes = [];
+ var shortDist = [];
+ var sweeps = [];
+ drawnPts = [];
+ for (var curves in test) {
+ var curve = test[curves];
+ origin.push(curve[0]);
+ origin.push(curve[1]);
+ var startPt = [];
+ startPt.push(curve[2]);
+ startPt.push(curve[3]);
+ hullStarts.push(startPt);
+ var endPt = [];
+ if (curve.length == 4) {
+ endPt.push(curve[2]);
+ endPt.push(curve[3]);
+ } else if (curve.length == 6) {
+ endPt.push(curve[4]);
+ endPt.push(curve[5]);
+ } else if (curve.length == 8) {
+ endPt.push(curve[6]);
+ endPt.push(curve[7]);
+ }
+ hullEnds.push(endPt);
+ var sweep = crossPt(origin, startPt, endPt);
+ sweeps.push(sweep);
+ var midPt = [];
+ midPt.push(x_at_t(curve, 0.5));
+ midPt.push(y_at_t(curve, 0.5));
+ midSpokes.push(midPt);
+ var shortPt = [];
+ shortPt.push(x_at_t(curve, 0.25));
+ shortPt.push(y_at_t(curve, 0.25));
+ shortSpokes.push(shortPt);
+ var dx = midPt[0] - origin[0];
+ var dy = midPt[1] - origin[1];
+ var dist = Math.sqrt(dx * dx + dy * dy);
+ midDist.push(dist);
+ dx = shortPt[0] - origin[0];
+ dy = shortPt[1] - origin[1];
+ dist = Math.sqrt(dx * dx + dy * dy);
+ shortDist.push(dist);
+ }
+ var intersect = [];
+ var useIntersect = false;
+ var maxWidth = Math.max(xmax - xmin, ymax - ymin);
+ for (var curves in test) {
+ var curve = test[curves];
+ if (curve.length == 6 || curve.length == 8) {
+ var opp = curves == 1 ? 0 : 1;
+ var sects = ray_curve_intersect(origin, hullEnds[opp], curve);
+ intersect.push(sects);
+ if (sects.length > 1) {
+ var intersection = sects[0];
+ if (intersection == 0) {
+ intersection = sects[1];
+ }
+ var ix = x_at_t(curve, intersection) - origin[0];
+ var iy = y_at_t(curve, intersection) - origin[1];
+ var ex = hullEnds[opp][0] - origin[0];
+ var ey = hullEnds[opp][1] - origin[1];
+ if (ix * ex >= 0 && iy * ey >= 0) {
+ var iDist = Math.sqrt(ix * ix + iy * iy);
+ var eDist = Math.sqrt(ex * ex + ey * ey);
+ var delta = Math.abs(iDist - eDist) / maxWidth;
+ if (delta > (curve.length == 6 ? 1e-5 : 1e-4)) {
+ useIntersect ^= true;
+ }
+ }
+ }
+ }
+ }
+ var midLeft = crossPt(origin, midSpokes[0], midSpokes[1]);
+ var firstInside;
+ if (useIntersect) {
+ var sect1 = intersect[0].length > 1;
+ var sIndex = sect1 ? 0 : 1;
+ var sects = intersect[sIndex];
+ var intersection = sects[0];
+ if (intersection == 0) {
+ intersection = sects[1];
+ }
+ var curve = test[sIndex];
+ var ix = x_at_t(curve, intersection) - origin[0];
+ var iy = y_at_t(curve, intersection) - origin[1];
+ var opp = sect1 ? 1 : 0;
+ var ex = hullEnds[opp][0] - origin[0];
+ var ey = hullEnds[opp][1] - origin[1];
+ var iDist = ix * ix + iy * iy;
+ var eDist = ex * ex + ey * ey;
+ firstInside = (iDist > eDist) ^ (sIndex == 0) ^ sweeps[0];
+// console.log("iDist=" + iDist + " eDist=" + eDist + " sIndex=" + sIndex
+ // + " sweeps[0]=" + sweeps[0]);
+ } else {
+ // console.log("midLeft=" + midLeft);
+ firstInside = midLeft != 0;
+ }
+ var shorter = midDist[1] < midDist[0];
+ var shortLeft = shorter ? crossPt(origin, shortSpokes[0], midSpokes[1])
+ : crossPt(origin, midSpokes[0], shortSpokes[1]);
+ var startCross = crossPt(origin, hullStarts[0], hullStarts[1]);
+ var disallowShort = midLeft == startCross && midLeft == sweeps[0]
+ && midLeft == sweeps[1];
+
+ // console.log("midLeft=" + midLeft + " startCross=" + startCross);
+ var intersectIndex = 0;
+ for (var curves in test) {
+ var curve = test[curves];
+ if (curve.length != 4 && curve.length != 6 && curve.length != 8) {
+ continue;
+ }
+ ctx.lineWidth = 1;
+ if (draw_tangents != 0) {
+ if (firstInside == curves) {
+ ctx.strokeStyle = "rgba(255,0,0, 0.3)";
+ } else {
+ ctx.strokeStyle = "rgba(0,0,255, 0.3)";
+ }
+ drawLine(curve[0], curve[1], curve[2], curve[3]);
+ if (draw_tangents != 2) {
+ if (curve.length > 4) drawLine(curve[2], curve[3], curve[4], curve[5]);
+ if (curve.length > 6) drawLine(curve[4], curve[5], curve[6], curve[7]);
+ }
+ if (draw_tangents != 1) {
+ if (curve.length == 6) drawLine(curve[0], curve[1], curve[4], curve[5]);
+ if (curve.length == 8) drawLine(curve[0], curve[1], curve[6], curve[7]);
+ }
+ }
+ ctx.beginPath();
+ ctx.moveTo((curve[0] - srcLeft) * scale, (curve[1] - srcTop) * scale);
+ if (curve.length == 4) {
+ ctx.lineTo((curve[2] - srcLeft) * scale, (curve[3] - srcTop) * scale);
+ } else if (curve.length == 6) {
+ ctx.quadraticCurveTo(
+ (curve[2] - srcLeft) * scale, (curve[3] - srcTop) * scale,
+ (curve[4] - srcLeft) * scale, (curve[5] - srcTop) * scale);
+ } else {
+ ctx.bezierCurveTo(
+ (curve[2] - srcLeft) * scale, (curve[3] - srcTop) * scale,
+ (curve[4] - srcLeft) * scale, (curve[5] - srcTop) * scale,
+ (curve[6] - srcLeft) * scale, (curve[7] - srcTop) * scale);
+ }
+ if (firstInside == curves) {
+ ctx.strokeStyle = "rgba(255,0,0, 1)";
+ } else {
+ ctx.strokeStyle = "rgba(0,0,255, 1)";
+ }
+ ctx.stroke();
+ if (draw_endpoints) {
+ drawPoint(curve[0], curve[1]);
+ drawPoint(curve[2], curve[3]);
+ if (curve.length > 4) drawPoint(curve[4], curve[5]);
+ if (curve.length > 6) drawPoint(curve[6], curve[7]);
+ }
+ if (draw_midpoint != 0) {
+ if ((curves == 0) == (midLeft == 0)) {
+ ctx.strokeStyle = "rgba(0,180,127, 0.6)";
+ } else {
+ ctx.strokeStyle = "rgba(127,0,127, 0.6)";
+ }
+ var midX = x_at_t(curve, 0.5);
+ var midY = y_at_t(curve, 0.5);
+ drawPointSolid(midX, midY);
+ if (draw_midpoint > 1) {
+ drawLine(curve[0], curve[1], midX, midY);
+ }
+ }
+ if (draw_quarterpoint != 0) {
+ if ((curves == 0) == (shortLeft == 0)) {
+ ctx.strokeStyle = "rgba(0,191,63, 0.6)";
+ } else {
+ ctx.strokeStyle = "rgba(63,0,191, 0.6)";
+ }
+ var midT = (curves == 0) == shorter ? 0.25 : 0.5;
+ var midX = x_at_t(curve, midT);
+ var midY = y_at_t(curve, midT);
+ drawPointSolid(midX, midY);
+ if (draw_quarterpoint > 1) {
+ drawLine(curve[0], curve[1], midX, midY);
+ }
+ }
+ if (draw_sortpoint != 0) {
+ if ((curves == 0) == ((disallowShort == -1 ? midLeft : shortLeft) == 0)) {
+ ctx.strokeStyle = "rgba(0,155,37, 0.6)";
+ } else {
+ ctx.strokeStyle = "rgba(37,0,155, 0.6)";
+ }
+ var midT = (curves == 0) == shorter && disallowShort != curves ? 0.25 : 0.5;
+ console.log("curves=" + curves + " disallowShort=" + disallowShort
+ + " midLeft=" + midLeft + " shortLeft=" + shortLeft
+ + " shorter=" + shorter + " midT=" + midT);
+ var midX = x_at_t(curve, midT);
+ var midY = y_at_t(curve, midT);
+ drawPointSolid(midX, midY);
+ if (draw_sortpoint > 1) {
+ drawLine(curve[0], curve[1], midX, midY);
+ }
+ }
+ if (draw_ray_intersect != 0) {
+ ctx.strokeStyle = "rgba(75,45,199, 0.6)";
+ if (curve.length == 6 || curve.length == 8) {
+ var intersections = intersect[intersectIndex];
+ for (var i in intersections) {
+ var intersection = intersections[i];
+ var x = x_at_t(curve, intersection);
+ var y = y_at_t(curve, intersection);
+ drawPointSolid(x, y);
+ if (draw_ray_intersect > 1) {
+ drawLine(curve[0], curve[1], x, y);
+ }
+ }
+ }
+ ++intersectIndex;
+ }
+ if (draw_order) {
+ var px = x_at_t(curve, 0.75);
+ var py = y_at_t(curve, 0.75);
+ var _px = (px - srcLeft) * scale;
+ var _py = (py - srcTop) * scale;
+ ctx.beginPath();
+ ctx.arc(_px, _py, 15, 0, Math.PI * 2, true);
+ ctx.closePath();
+ ctx.fillStyle = "white";
+ ctx.fill();
+ if (firstInside == curves) {
+ ctx.strokeStyle = "rgba(255,0,0, 1)";
+ ctx.fillStyle = "rgba(255,0,0, 1)";
+ } else {
+ ctx.strokeStyle = "rgba(0,0,255, 1)";
+ ctx.fillStyle = "rgba(0,0,255, 1)";
+ }
+ ctx.stroke();
+ ctx.font = "normal 16px Arial";
+ ctx.textAlign = "center";
+ ctx.fillText(parseInt(curves) + 1, _px, _py + 5);
+ }
+ if (draw_closest_t) {
+ var t = curveClosestT(curve, mouseX, mouseY);
+ if (t >= 0) {
+ var x = x_at_t(curve, t);
+ var y = y_at_t(curve, t);
+ drawPointSolid(x, y);
+ }
+ }
+ if (!approximately_zero(scale - initScale)) {
+ ctx.font = "normal 20px Arial";
+ ctx.fillStyle = "rgba(0,0,0, 0.3)";
+ ctx.textAlign = "right";
+ ctx.fillText(scale.toFixed(decimal_places) + 'x',
+ screenWidth - 10, screenHeight - 5);
+ }
+ if (draw_t) {
+ drawPointAtT(curve);
+ }
+ }
+ if (draw_t) {
+ drawCurveTControl();
+ }
+ }
+
+ function drawCurveTControl() {
+ ctx.lineWidth = 2;
+ ctx.strokeStyle = "rgba(0,0,0, 0.3)";
+ ctx.beginPath();
+ ctx.rect(screenWidth - 80, 40, 28, screenHeight - 80);
+ ctx.stroke();
+ var ty = 40 + curveT * (screenHeight - 80);
+ ctx.beginPath();
+ ctx.moveTo(screenWidth - 80, ty);
+ ctx.lineTo(screenWidth - 85, ty - 5);
+ ctx.lineTo(screenWidth - 85, ty + 5);
+ ctx.lineTo(screenWidth - 80, ty);
+ ctx.fillStyle = "rgba(0,0,0, 0.6)";
+ ctx.fill();
+ var num = curveT.toFixed(decimal_places);
+ ctx.font = "normal 10px Arial";
+ ctx.textAlign = "left";
+ ctx.fillText(num, screenWidth - 78, ty);
+ }
+
+ function ptInTControl() {
+ var e = window.event;
+ var tgt = e.target || e.srcElement;
+ var left = tgt.offsetLeft;
+ var top = tgt.offsetTop;
+ var x = (e.clientX - left);
+ var y = (e.clientY - top);
+ if (x < screenWidth - 80 || x > screenWidth - 50) {
+ return false;
+ }
+ if (y < 40 || y > screenHeight - 80) {
+ return false;
+ }
+ curveT = (y - 40) / (screenHeight - 120);
+ if (curveT < 0 || curveT > 1) {
+ throw "stop execution";
+ }
+ return true;
+ }
+
+ function drawTop() {
+ init(tests[testIndex]);
+ redraw();
+ }
+
+ function redraw() {
+ ctx.beginPath();
+ ctx.rect(0, 0, ctx.canvas.width, ctx.canvas.height);
+ ctx.fillStyle = "white";
+ ctx.fill();
+ draw(tests[testIndex], testTitles[testIndex]);
+ }
+
+ function doKeyPress(evt) {
+ var char = String.fromCharCode(evt.charCode);
+ switch (char) {
+ case '0':
+ case '1':
+ case '2':
+ case '3':
+ case '4':
+ case '5':
+ case '6':
+ case '7':
+ case '8':
+ case '9':
+ decimal_places = char - '0';
+ redraw();
+ break;
+ case '-':
+ scale /= 2;
+ calcLeftTop();
+ redraw();
+ break;
+ case '=':
+ case '+':
+ scale *= 2;
+ calcLeftTop();
+ redraw();
+ break;
+ case 'c':
+ drawTop();
+ break;
+ case 'd':
+ var test = tests[testIndex];
+ var testClone = [];
+ for (var curves in test) {
+ var c = test[curves];
+ var cClone = [];
+ for (var index = 0; index < c.length; ++index) {
+ cClone.push(c[index]);
+ }
+ testClone.push(cClone);
+ }
+ tests.push(testClone);
+ testTitles.push(testTitles[testIndex] + " copy");
+ testIndex = tests.length - 1;
+ redraw();
+ break;
+ case 'e':
+ draw_endpoints ^= true;
+ redraw();
+ break;
+ case 'f':
+ draw_derivative ^= true;
+ redraw();
+ break;
+ case 'i':
+ draw_ray_intersect = (draw_ray_intersect + 1) % 3;
+ redraw();
+ break;
+ case 'l':
+ var test = tests[testIndex];
+ console.log("<div id=\"" + testTitles[testIndex] + "\" >");
+ for (var curves in test) {
+ var c = test[curves];
+ var s = "{{";
+ for (var i = 0; i < c.length; i += 2) {
+ s += "{";
+ s += c[i] + "," + c[i + 1];
+ s += "}";
+ if (i + 2 < c.length) {
+ s += ", ";
+ }
+ }
+ console.log(s + "}},");
+ }
+ console.log("</div>");
+ break;
+ case 'm':
+ draw_midpoint = (draw_midpoint + 1) % 3;
+ redraw();
+ break;
+ case 'N':
+ testIndex += 9;
+ case 'n':
+ testIndex = (testIndex + 1) % tests.length;
+ drawTop();
+ break;
+ case 'o':
+ draw_order ^= true;
+ redraw();
+ break;
+ case 'P':
+ testIndex -= 9;
+ case 'p':
+ if (--testIndex < 0)
+ testIndex = tests.length - 1;
+ drawTop();
+ break;
+ case 'q':
+ draw_quarterpoint = (draw_quarterpoint + 1) % 3;
+ redraw();
+ break;
+ case 'r':
+ for (var i = 0; i < testDivs.length; ++i) {
+ var title = testDivs[i].id.toString();
+ if (title == testTitles[testIndex]) {
+ var str = testDivs[i].firstChild.data;
+ parse(str, title);
+ var original = tests.pop();
+ testTitles.pop();
+ tests[testIndex] = original;
+ break;
+ }
+ }
+ redraw();
+ break;
+ case 's':
+ draw_sortpoint = (draw_sortpoint + 1) % 3;
+ redraw();
+ break;
+ case 't':
+ draw_t ^= true;
+ redraw();
+ break;
+ case 'u':
+ draw_closest_t ^= true;
+ redraw();
+ break;
+ case 'v':
+ draw_tangents = (draw_tangents + 1) % 4;
+ redraw();
+ break;
+ case 'x':
+ draw_point_xy ^= true;
+ redraw();
+ break;
+ case 'y':
+ draw_mouse_xy ^= true;
+ redraw();
+ break;
+ case '\\':
+ retina_scale ^= true;
+ drawTop();
+ break;
+ }
+ }
+
+ function doKeyDown(evt) {
+ var char = evt.keyCode;
+ var preventDefault = false;
+ switch (char) {
+ case 37: // left arrow
+ if (evt.shiftKey) {
+ testIndex -= 9;
+ }
+ if (--testIndex < 0)
+ testIndex = tests.length - 1;
+ drawTop();
+ preventDefault = true;
+ break;
+ case 39: // right arrow
+ if (evt.shiftKey) {
+ testIndex += 9;
+ }
+ if (++testIndex >= tests.length)
+ testIndex = 0;
+ drawTop();
+ preventDefault = true;
+ break;
+ }
+ if (preventDefault) {
+ evt.preventDefault();
+ return false;
+ }
+ return true;
+ }
+
+ function calcXY() {
+ var e = window.event;
+ var tgt = e.target || e.srcElement;
+ var left = tgt.offsetLeft;
+ var top = tgt.offsetTop;
+ mouseX = (e.clientX - left) / scale + srcLeft;
+ mouseY = (e.clientY - top) / scale + srcTop;
+ }
+
+ function calcLeftTop() {
+ srcLeft = mouseX - screenWidth / 2 / scale;
+ srcTop = mouseY - screenHeight / 2 / scale;
+ }
+
+ function handleMouseClick() {
+ if (!draw_t || !ptInTControl()) {
+ calcXY();
+ } else {
+ redraw();
+ }
+ }
+
+ function initDown() {
+ var test = tests[testIndex];
+ var bestDistance = 1000000;
+ activePt = -1;
+ for (var curves in test) {
+ var testCurve = test[curves];
+ if (testCurve.length != 4 && testCurve.length != 6 && testCurve.length != 8) {
+ continue;
+ }
+ for (var i = 0; i < testCurve.length; i += 2) {
+ var testX = testCurve[i];
+ var testY = testCurve[i + 1];
+ var dx = testX - mouseX;
+ var dy = testY - mouseY;
+ var dist = dx * dx + dy * dy;
+ if (dist > bestDistance) {
+ continue;
+ }
+ activeCurve = testCurve;
+ activePt = i;
+ bestDistance = dist;
+ }
+ }
+ if (activePt >= 0) {
+ lastX = mouseX;
+ lastY = mouseY;
+ }
+ }
+
+ function handleMouseOver() {
+ calcXY();
+ if (draw_mouse_xy) {
+ var num = mouseX.toFixed(decimal_places) + ", " + mouseY.toFixed(decimal_places);
+ ctx.beginPath();
+ ctx.rect(300, 100, num.length * 6, 10);
+ ctx.fillStyle = "white";
+ ctx.fill();
+ ctx.font = "normal 10px Arial";
+ ctx.fillStyle = "black";
+ ctx.textAlign = "left";
+ ctx.fillText(num, 300, 108);
+ }
+ if (!mouseDown) {
+ activePt = -1;
+ return;
+ }
+ if (activePt < 0) {
+ initDown();
+ return;
+ }
+ var deltaX = mouseX - lastX;
+ var deltaY = mouseY - lastY;
+ lastX = mouseX;
+ lastY = mouseY;
+ if (activePt == 0) {
+ var test = tests[testIndex];
+ for (var curves in test) {
+ var testCurve = test[curves];
+ testCurve[0] += deltaX;
+ testCurve[1] += deltaY;
+ }
+ } else {
+ activeCurve[activePt] += deltaX;
+ activeCurve[activePt + 1] += deltaY;
+ }
+ redraw();
+ }
+
+ function start() {
+ for (var i = 0; i < testDivs.length; ++i) {
+ var title = testDivs[i].id.toString();
+ var str = testDivs[i].firstChild.data;
+ parse(str, title);
+ }
+ drawTop();
+ window.addEventListener('keypress', doKeyPress, true);
+ window.addEventListener('keydown', doKeyDown, true);
+ window.onresize = function () {
+ drawTop();
+ }
+ }
+
+</script>
+</head>
+
+<body onLoad="start();">
+
+<canvas id="canvas" width="750" height="500"
+ onmousedown="mouseDown = true"
+ onmouseup="mouseDown = false"
+ onmousemove="handleMouseOver()"
+ onclick="handleMouseClick()"
+ ></canvas >
+</body>
+</html>
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