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{{{187.410400390625, -343.557373046875}, {-86.16302490234375, -366.027099609375}, {-468.3883056640625, -25.736572265625}}}
</div>
<div id="quad0">
{{{-708.0077926931004413, -154.6166947224404566}, {-701.0429781735874712, -128.8517387364408933}, {505.58447265625, -504.9130859375}}},
{{{-708.0077926931004413, -154.6166947224404566}, {-721.5125661899801344, -174.4028951148648048}, {-32.39227294921875, -906.3277587890625}}}
{{{-707.8363172079705237, -154.25350453766481}, {-708.0077926931004413, -154.6166947224404566}}}
{{{-708.1792267111628689, -154.9799046892118213}, {-708.0077926931004413, -154.6166947224404566}}}
</div>
<div id="quad999">
{{{-708.00779269310044, -154.61669472244046}, {-707.92342686353186, -154.30459999551294}, {505.58447265625, -504.9130859375}}},
{{{-708.00779269310044, -154.61669472244046}, {-708.1713780141481, -154.85636789757655}, {-32.39227294921875, -906.3277587890625}}}
{{{-708.0077672218041, -154.61664072892336}, {-708.00779269310044, -154.61669472244046}}}
{{{-708.00781827681976, -154.61674895426012}, {-708.00779269310044, -154.61669472244046}}}
</div>
<div id="quad113">
{{{425.018310546875, -866.61865234375}, {-918.76531982421875, 209.05322265625}, {964.34716796875, 199.52587890625}}},
{{{425.018310546875, -866.61865234375}, {703.10693359375, -955.0738525390625}, {-952.24664306640625, -717.94775390625}}}
</div>
<div id="quad136">
{{{178.1549072265625, 62.724609375}, {541.3643798828125, 223.823486328125}, {-446.77471923828125, -15.990478515625}}},
{{{178.1549072265625, 62.724609375}, {-347.14031982421875, -834.27191162109375}, {-495.138885498046875, 96.476806640625}}}
</div>
<div id="quad206">
{{{-503.007415771484375, -318.59490966796875}, {-798.330810546875, -881.21630859375}, {-127.2027587890625, 769.6160888671875}}},
{{{-503.007415771484375, -318.59490966796875}, {-153.6217041015625, -776.896728515625}, {-378.43701171875, -296.3197021484375}}}
{{{-468.9176053311167607, -89.39573455985038208}, {-503.007415771484375, -318.59490966796875}}}
{{{-356.1573846604815685, -497.6768266540607328}, {-503.007415771484375, -318.59490966796875}}}
{{{-559.0376987487186398, -420.2054253473417589}, {-503.007415771484375, -318.59490966796875}}}
{{{-431.6586315464865606, -409.8353728177644371}, {-503.007415771484375, -318.59490966796875}}}
</div>
<div id="quad640">
{{{412.260498046875, 49.193603515625}, {838.97900390625, 86.9951171875}, {427.7896728515625, -605.6881103515625}}},
{{{412.260498046875, 49.193603515625}, {-995.54583740234375, 990.032470703125}, {-881.18670654296875, 461.211669921875}}}
</div>
<div id="quad3160">
{{{426.645751953125, 813.79150390625}, {-387.23828125, -588.89483642578125}, {792.4261474609375, -704.4637451171875}}},
{{{426.645751953125, 813.79150390625}, {19.24896240234375, -416.09906005859375}, {233.8497314453125, 350.778564453125}}}
</div>
<div id="quad35237">
{{{-770.8492431640625, 948.2369384765625}, {-853.37066650390625, 972.0301513671875}, {-200.62042236328125, -26.7174072265625}}},
{{{-770.8492431640625, 948.2369384765625}, {513.602783203125, 578.8681640625}, {960.641357421875, -813.69757080078125}}}
</div>
<div id="quad37226">
{{{563.8267822265625, -107.4566650390625}, {-44.67724609375, -136.57452392578125}, {492.3856201171875, -268.79644775390625}}},
{{{563.8267822265625, -107.4566650390625}, {708.049072265625, -100.77789306640625}, {-48.88226318359375, 967.9022216796875}}}
</div>
<div id="quad67242">
{{{598.857421875, 846.345458984375}, {-644.095703125, -316.12921142578125}, {-97.64599609375, 20.6158447265625}}},
{{{598.857421875, 846.345458984375}, {715.7142333984375, 955.3599853515625}, {-919.9478759765625, 691.611328125}}}
</div>
<div id="quad208">
{{{481.1463623046875, -687.09613037109375}, {643.64697265625, -951.9462890625}, {162.5869140625, 698.7342529296875}}},
{{{481.1463623046875, -687.09613037109375}, {171.8175048828125, -919.07977294921875}, {153.3433837890625, -587.43072509765625}}}
</div>
<div id="quad8a">
{{{344.2755126953125, -689.900390625}, {743.6728515625, 512.8448486328125}, {928.598388671875, 111.946044921875}}},
{{{344.2755126953125, -689.900390625}, {-950.03106689453125, -511.25741577148437}, {850.8173828125, 798.4874267578125}}}
</div>
<div id="quad8b">
{{{344.2755126953125, -689.900390625}, {928.598388671875, 111.946044921875}, {743.6728515625, 512.8448486328125}}},
{{{344.2755126953125, -689.900390625}, {-950.03106689453125, -511.25741577148437}, {850.8173828125, 798.4874267578125}}}
</div>
<div id="quad8741">
{{{944.9024658203125, 939.454345703125}, {-971.06219482421875, -914.24395751953125}, {-878.764404296875, -297.61602783203125}}},
{{{944.9024658203125, 939.454345703125}, {-838.96612548828125, -785.837646484375}, {-126.80029296875, 921.1981201171875}}}
{{{107.03238931174118, 218.460612766889}, {944.9024658203125, 939.454345703125}}}
{{{-292.72752350740279, 99.917575976335598}, {944.9024658203125, 939.454345703125}}}
</div>
<div id="quad89987">
{{{939.4808349609375, 914.355224609375}, {-357.7921142578125, 590.842529296875}, {736.8936767578125, -350.717529296875}}},
{{{939.4808349609375, 914.355224609375}, {-182.85418701171875, 634.4552001953125}, {-509.62615966796875, 576.1182861328125}}}
</div>
<div id="simplifyQuadratic36">
{{{1.9474306106567383, 2.3777823448181152}, {1.9234547048814592, 2.2418855043499213}, {1.8885438442230225, 2.1114561557769775}}}
{{{1.9474306106567383, 2.3777823448181152}, {2.0764266380046235, 2.2048800651418379}, {1.8888888359069824, 2.1111111640930176}}}
</div>
<div id="simplifyQuadratic58">
{{326.236786,205.854996}, {329.104431,231.663818}, {351.512085,231.663818}}
{{303.12088,141.299606}, {330.463562,217.659027}}
</div>
<div id="simplifyQuadratic58a">
{{{326.23678588867188, 205.85499572753906}, {328.04376176056422, 222.11778818951981}, {337.6092529296875, 228.13298034667969}
{{{303.12088012695312, 141.29960632324219}, {330.46356201171875, 217.65902709960937}
</div>
<div id="quadratic58again">
{{322.935669,231.030273}, {312.832214,220.393295}, {312.832214,203.454178}}
{{322.12738,233.397751}, {295.718353,159.505829}}
</div>
<div id="simplifyQuadratic56">
{{{380.29449462890625, 140.44486999511719}, {387.29080200195312, 136.67460632324219}, {396.0399169921875, 136.67460632324219}}}
{{{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>
<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>
<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}}}
</div>
<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}}}
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<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}}}
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<div id="slop1">
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{{{-378.61790442466736, -987.49146723747253}, {-282.51787429804051, -556.39065286764685}, {-278.55106873374694, -364.17984985308294}}}
{{{-305.5273847156202, -615.99979442705023}, {-305.04071954345704, -612.87932617187505}}}
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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}}}
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qT=0.0192863061 cT=0.241285225 dist=652.007881 cross=528435.665
<div id="slop3">
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{{{-894.932414,-523.605499}, {-66.4040558,-889.938889}, {278.515212,-667.684158}}}
{{{-207.851881,-740.109296}, {-831.819002,-550.955104}}}
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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}}}
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qT=0.000316393778 cT=0.248252634 dist=489.678412 cross=-57352.7653
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{{{876.147506,-849.184429}, {593.963775,-414.437342}, {416.842819,-30.3791618}}}
{{{622.139843,-430.512844}, {876.135915,-849.166571}}}
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qT=0.989562776 cT=0.760518485 dist=211.50589 cross=134901.42
<div id="slop6">
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{{{416.141554,-30.4534414}, {237.846068,356.664216}, {335.719378,533.692585}}}
{{{305.345404,315.701195}, {331.440368,525.591152}}}
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qT=0.0978245708 cT=0.397465904 dist=959.737748 cross=158093.403
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{{{629.666617,-82.159942}, {-661.943328,620.81113}, {-723.44072,537.121833}}}
{{{-347.560585,421.003177}, {507.062151,-15.707855}}}
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qT=0.169803964 cT=0.389326872 dist=658.039939 cross=107865.424
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{{{629.536617,-81.7990275}, {-662.457623,620.485316}, {-723.31072,536.760918}}}
{{{-330.996421,413.091598}, {257.080063,117.824582}}}
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qT=0.0863836955 cT=0.387901231 dist=986.24777 cross=157348.113
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{{{629.248316,-81.8984216}, {-662.339696,620.351182}, {-723.022419,536.860313}}}
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{{{629.760605,-81.9577046}, {-661.301606,620.029216}, {-723.534707,536.919596}}}
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{{{629.919588,-82.1841825}, {-662.488256,620.04494}, {-723.693691,537.146073}}}
{{{-316.541641,406.142013}, {504.067361,-14.0913644}}}
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qT=0.146746849 cT=0.391456086 dist=750.006927 cross=123679.094
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{{{629.712675,-82.0366321}, {-661.487948,620.191832}, {-723.486777,536.998523}}}
{{{-335.364605,415.183549}, {334.079508,77.0194322}}}
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qT=0.00196158131 cT=0.20357489 dist=466.080185 cross=241741.95
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{{{-627.675958,-359.282959}, {-52.012535,-659.029798}, {116.967835,-524.756101}}}
{{{-192.427848,-541.033993}, {-622.696937,-361.871356}}}
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qT=0.948725598 cT=0.744200608 dist=699.694313 cross=179509.878
<div id="slop14">
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{{{259.978301,-393.549091}, {181.692599,-474.452437}, {-892.389834,213.689096}}}
{{{-95.1310032,-267.365579}, {-696.89984,89.6307768}}}
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qT=0.971677129 cT=0.755306143 dist=771.998962 cross=189468.817
<div id="slop15">
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{{{259.662278,-393.355886}, {181.612843,-473.935297}, {-892.073812,213.495892}}}
{{{-120.438346,-253.451518}, {-782.461182,143.673352}}}
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qT=0.571797795 cT=0.773951562 dist=495.560209 cross=221091.889
<div id="slop16">
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{{{635.795655,-580.726915}, {810.704547,-228.491534}, {963.345162,745.921688}}}
{{{801.470356,-87.7105789}, {646.551495,-558.433498}}}
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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}}}
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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}}}
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<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}}}
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<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}},
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<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}},
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<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}}}
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<div id="skpwww_maturesupertube_com_21">
{{{{3.87867975f, 11831.8789f}, {4.7573595f, 11831}, {6, 11831}}},
{{{2, 11830}, {4.5f, 11832.5f}}}},
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<div id="loop1">
{{1, 4, 2, 6, 0, 5, 4.5f, 4.33333302f
{{2, 6, 0, 5, 4.5f, 4.33333302f, 1, 4
{{{3, 5}, {2.33333325f, 4.33333349f}, {3.83333325f, 3.83333349f}, {2, 4}}}
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{{{0.55431359440952721, 2.1086271888190544}, {0.1588954256872922, 2.3078315988141811}, {0.57446808656344528, 2.1489361731268914}, {0, 1}}}
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<div id="serp2">
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<div id="serp3">
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{{{1000, 246}, {927.340759f, 245.505722f}}}
{{{999.892212f, 246}, {927.340759f, 245.505722f}}}
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<div id="self1">
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{{{2, 3}, {0, 4}, {3, 2}, {5, 3}}}
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<div id="skpwww_pindosiya_com_99">
{{{901.0869140625, 547}, {899, 556}}}
{{{900.0235595703125, 551.60284423828125}, {900.06072998046875, 551.29705810546875}, {900.15655517578125, 551.0157470703125}}}
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<div id="cubicLineMiss1">
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{{{-478.4372049758064236, -717.868282575075682}, {-476.4372049758064236, -717.868282575075682}}}
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{{{58.57411390280688579, -302.8879316712078662}, {60.57411390280688579, -302.8879316712078662}}}
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{{{-287.95061337208057, -557.13764766157726}, {-285.95061337208057, -557.13764766157726}}}
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{{{168, 29.6722088f}, {166, 29.6773338f}}}
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{{{465.84668f, 547.288391f}, {467.274506f, 552.852356f}, {468.506836f, 560.718567f}}}
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{{{10105, 2510}, {10123, 2509.98999f}}}
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{{fX=124.66667175292969 fY=152.33334350585937 }, {fX=127.02368927001953 fY=153.30966186523437 }} }
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skpwww_galaxystwo_com_4,
skpwww_kitcheninspirations_wordpress_com_66,
skpwww_tcmevents_org_13,
skpwww_aceinfographics_com_106,
skpwww_educationalcraft_com_4b,
skpwww_educationalcraft_com_4a,
skpwww_educationalcraft_com_4,
cubicLineErr2,
cubicLineErr1,
cubicLineMiss1,
cubicLineMiss2,
cubicLineMiss3,
cubicLineMiss4,
skpwww_pindosiya_com_99,
self1,
skpwww_seopack_blogspot_com_2153,
serp1,
serp2,
serp3,
loop1,
skpwww_maturesupertube_com_21,
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 == 0 || 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 = curves != 0 ? crossPt(origin, midSpokes[0], midSpokes[1]) : 0;
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>