skia2/experimental/Intersection/qc.htm
caryclark@google.com 05c4bad470 shape ops work in progress
git-svn-id: http://skia.googlecode.com/svn/trunk@7294 2bbb7eff-a529-9590-31e7-b0007b416f81
2013-01-19 13:22:39 +00:00

2086 lines
101 KiB
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{{59.2896776, 51.9825439}, {70.1426209, 45.3628742}, {61.4307428, 29.4567029}},
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<div id="cubic3x5">
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{{21.1261573, 59.9182775}, {24.474036, 53.4254499}, {36.6579558, 51.0041468}},
{{36.6579558, 51.0041468}, {50.2178533, 48.3093965}, {76.9233116, 50.0985771}},
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<div id="cubic3x5x">
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{{21.1261573, 59.9182775}, {23.8960175, 53.6989236}, {36.6579558, 51.0041468}},
{{36.6579558, 51.0041468}, {49.4198942, 48.3093701}, {76.9233116, 50.0985771}},
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<div id="cubic3x6">
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{{39.306348, 21.7912016}, {41.8751537, 52.6388057}, {32.26342, 62.4108917}},
{{32.26342, 62.4108917}, {23.2193358, 71.6058581}, {13.0917792, 55.754704}},
{{13.0917792, 55.754704}, {2.00097021, 38.3959145}, {0.981986477, 4.24671164}},
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<div id="cubic3x6x">
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{{39.306348, 21.7912016}, {41.2158823, 54.2230253}, {32.26342, 62.4108917}},
{{32.26342, 62.4108917}, {23.3109577, 70.5987581}, {13.0917792, 55.754704}},
{{13.0917792, 55.754704}, {2.87260067, 40.9106498}, {0.981986477, 4.24671164}},
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<div id="cubic3x7">
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{{81.4704732, 52.0202764}, {71.0697229, 63.7619094}, {56.4037366, 66.489545}},
{{56.4037366, 66.489545}, {36.2148038, 70.2443591}, {14.7351715, 54.0271501}},
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<div id="cubic3x7x">
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{{85.4907277, 42.6604079}, {89.2978026, 42.0578592}, {81.4704732, 52.0202764}},
{{81.4704732, 52.0202764}, {73.6431437, 61.9826936}, {56.4037366, 66.489545}},
{{56.4037366, 66.489545}, {39.1643295, 70.9963964}, {14.7351715, 54.0271501}},
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<div id="cubic3x8">
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{{95.2957887, 36.3209844}, {73.0036621, 28.7988805}, {57.2191042, 37.0396513}},
{{57.2191042, 37.0396513}, {44.4309585, 43.7160611}, {36.8308235, 60.0949108}},
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<div id="cubic3x8x">
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{{95.2957887, 36.3209844}, {71.2392316, 28.8763825}, {57.2191042, 37.0396513}},
{{57.2191042, 37.0396513}, {43.1989768, 45.20292}, {36.8308235, 60.0949108}},
{{36.8308235, 60.0949108}, {30.4626702, 74.9869017}, {29.3620354, 87.7284659}},
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<div id="cubic3x9">
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{{11.6274826, 23.1005334}, {26.8690196, 27.9724026}, {42.2684837, 25.6341105}},
{{42.2684837, 25.6341105}, {51.3514943, 24.254924}, {67.0182186, 18.4582098}},
{{67.0182186, 18.4582098}, {87.1065443, 11.0254957}, {96.7997166, 12.8374226}},
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<div id="cubic3x9x">
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{{11.6274826, 23.1005334}, {28.7555518, 28.1569895}, {42.2684837, 25.6341105}},
{{42.2684837, 25.6341105}, {55.7814156, 23.1112314}, {67.0182186, 18.4582098}},
{{67.0182186, 18.4582098}, {82.5639521, 11.3566582}, {96.7997166, 12.8374226}},
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<div id="cubic4x0">
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{{24.2578299, 1.34695745}, {27.9750096, 11.9564045}, {28.1705087, 26.7539994}},
{{28.1705087, 26.7539994}, {28.2848367, 35.4076429}, {26.8433323, 51.6959666}},
{{26.8433323, 51.6959666}, {24.9672902, 72.8943612}, {27.4957684, 77.9195086}},
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<div id="cubic4x0x">
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{{28.1705087, 26.7539994}, {28.104559, 39.9310711}, {26.8433323, 51.6959666}},
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<div id="cubic4x1">
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{{3.18338154, 3.09354817}, {35.8260971, 34.1468066}, {48.9325859, 44.6922254}},
{{48.9325859, 44.6922254}, {62.4915199, 55.6016796}, {67.1257676, 54.3074276}},
{{67.1257676, 54.3074276}, {70.2512267, 53.4345498}, {72.6465479, 43.2128608}},
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<div id="cubic4x1x">
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{{67.1257676, 54.3074276}, {71.1938054, 52.5283732}, {72.6465479, 43.2128608}},
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<div id="cubic4x2">
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<div id="cubic4x2x">
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<div id="cubic4x3">
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{{47.9840785, 52.4199142}, {58.4594697, 38.9901831}, {66.2068641, 35.3036404}},
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<div id="cubic4x3x">
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{{47.9840785, 52.4199142}, {54.9532374, 41.9238105}, {66.2068641, 35.3036404}},
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<div id="cubic4x4">
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{{68.0670356, 2.66693188}, {56.7853646, 13.7638629}, {41.0137122, 27.3042275}},
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{{31.0433353, 38.0354879}, {32.2977925, 39.1299429}, {51.0493703, 36.059867}},
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<div id="cubic4x5">
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<div id="cubic4x6">
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<div id="cubic4x6x">
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<div id="cubic4x7">
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<div id="cubic4x7x">
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<div id="cubic4x8">
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<div id="cubic4x8x">
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<div id="cubic4x9">
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{{30.5807774, 49.2954321}, {41.4519583, 49.2270222}, {56.117561, 53.190874}},
{{56.117561, 53.190874}, {76.476137, 59.3205959}, {98.9146078, 57.8132952}},
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<div id="cubic5x0x">
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{{49.5132747, 54.1388813}, {41.6067374, 48.9579661}, {29.4000415, 26.4971589}},
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{{77.2064841, 53.3431558}, {71.2104332, 54.4175525}, {60.0910899, 50.9480224}},
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{{77.2064841, 53.3431558}, {71.8750956, 54.5055166}, {60.0910899, 50.9480224}},
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{{30.9220007, 6.06626757}, {36.6680413, 14.3081978}, {38.6632502, 23.8943374}},
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{{55.8968586, 29.9930402}, {59.7242319, 26.5155538}, {60.0744106, 26.2078693}},
{{60.0744106, 26.2078693}, {60.4245892, 25.9001849}, {58.6982878, 27.5315648}},
{{58.6982878, 27.5315648}, {54.8548255, 31.1636922}, {52.2592609, 33.6639071}},
{{52.2592609, 33.6639071}, {47.5369986, 38.2126941}, {44.5524326, 41.278553}},
{{44.5524326, 41.278553}, {40.6568202, 45.2802731}, {39.8604011, 46.6125979}},
{{39.8604011, 46.6125979}, {38.901811, 48.2162178}, {42.4657645, 45.9031378}},
{{42.4657645, 45.9031378}, {46.5800498, 43.232881}, {56.6511208, 35.3872682}},
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<div id="cubic8x8x">
{{53.9853472, 31.729689}, {80.8833995, 7.2950833}, {8.46509939, 72.9253675}, {56.6511208, 35.3872682}},
{{53.9853472, 31.729689}, {55.0401587, 30.7714526}, {55.8968586, 29.9930402}},
{{55.8968586, 29.9930402}, {59.6366873, 26.5924749}, {60.0744106, 26.2078693}},
{{60.0744106, 26.2078693}, {60.5121339, 25.8232638}, {58.6982878, 27.5315648}},
{{58.6982878, 27.5315648}, {56.3310494, 29.756797}, {52.2592609, 33.6639071}},
{{52.2592609, 33.6639071}, {48.1874723, 37.5710172}, {44.5524326, 41.278553}},
{{44.5524326, 41.278553}, {40.9173929, 44.9860887}, {39.8604011, 46.6125979}},
{{39.8604011, 46.6125979}, {38.8034093, 48.2391072}, {42.4657645, 45.9031378}},
{{42.4657645, 45.9031378}, {46.1281196, 43.5671684}, {56.6511208, 35.3872682}},
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<div id="cubic8x9">
{{73.1810322, 53.6088109}, {3.28446082, 1.93300047}, {87.9389074, 89.2160727}, {54.5340817, 54.3107021}},
{{73.1810322, 53.6088109}, {58.5574459, 42.7973267}, {51.3867695, 38.9320081}},
{{51.3867695, 38.9320081}, {45.1924119, 35.5929695}, {44.6615376, 37.4897176}},
{{44.6615376, 37.4897176}, {44.2222697, 39.0591673}, {47.6643015, 44.1654891}},
{{47.6643015, 44.1654891}, {50.2846557, 48.0528359}, {55.0540263, 53.8428721}},
{{55.0540263, 53.8428721}, {57.6549797, 57.0004406}, {61.4896769, 61.4054165}},
{{61.4896769, 61.4054165}, {62.8763033, 62.9982556}, {62.6160157, 62.7489128}},
{{62.6160157, 62.7489128}, {62.3557281, 62.49957}, {59.4073763, 59.4106743}},
{{59.4073763, 59.4106743}, {56.5808171, 56.449377}, {54.5340817, 54.3107021}},
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<div id="cubic8x9x">
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{{73.1810322, 53.6088109}, {57.8490138, 42.3222252}, {51.3867695, 38.9320081}},
{{51.3867695, 38.9320081}, {44.9245252, 35.5417911}, {44.6615376, 37.4897176}},
{{44.6615376, 37.4897176}, {44.3985499, 39.4376442}, {47.6643015, 44.1654891}},
{{47.6643015, 44.1654891}, {50.9300531, 48.893334}, {55.0540263, 53.8428721}},
{{55.0540263, 53.8428721}, {59.1779995, 58.7924103}, {61.4896769, 61.4054165}},
{{61.4896769, 61.4054165}, {62.9413752, 63.0605913}, {62.6160157, 62.7489128}},
{{62.6160157, 62.7489128}, {62.2906562, 62.4372343}, {59.4073763, 59.4106743}},
{{59.4073763, 59.4106743}, {57.5885087, 57.5036974}, {54.5340817, 54.3107021}},
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<div id="cubic4">
{{24.2578299, 1.34695745}, {6.77689729, 99.312693}, {3.18338154, 3.09354817}, {59.132973, 47.8778685}},
{{38.313885, 41.465269}, {48.4308047, 76.5337766}, {93.264044, 88.7879534}, {83.3354337, 18.6335197}}
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<div id="cubic5">
{{24.0062249, 72.6211198}, {22.3913226, 30.9587957}, {80.7539402, 31.4736433}, {99.6348716, 63.2867312}},
{{43.1612821, 11.6690897}, {24.4801394, 37.7033828}, {77.5229567, 28.3334108}, {60.0910899, 50.9480224}}
$6 = {{x = 24.006224853920855, y = 72.621119847810419}, {x = 24.119692298829129, y = 51.890688643515688}, {x = 38.700154924642845, y = 44.614929583485953}}
(gdb) p q2
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{{x = 34.879150914024962, y = 83.862726601601125}, {x = 35.095810134304429, y = 83.693473210169543}, {x = 35.359284111931586, y = 83.488069234177502}}
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{{x = 54.080923997834752, y = 38.089631608729078}, {x = 10.447347774378651, y = 88.574043981998258}, {x = 33.294667831293616, y = 83.482240551841556}, {x = 25.649263209500006, y = 87.166762066617025}}
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{{x = 25.367434474345036, y = 50.4712103169743}, {x = 17.865013304933097, y = 37.356741010559439}, {x = 16.818988838905465, y = 37.682915484123129}}
{{x = 16.818988838905465, y = 37.682915484123129}, {x = 15.772964372877833, y = 38.009089957686811}, {x = 20.624104547604965, y = 41.825131596683121}}
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{{x = 36.148792695174222, y = 70.336952793070424}, {x = 36.141613037691357, y = 70.711654739870085}, {x = 36.154708826402597, y = 71.088492662905836}}
{{x = 35.216235592661825, y = 70.580199617313212}, {x = 36.244476835123969, y = 71.010897787304074}, {x = 37.230244263238326, y = 71.423156953613102}}
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{{x = 369.84860200000003, y = 145.68026699999999}, {x = 382.36041299999999, y = 121.298294}, {x = 406.20770299999998, y = 121.298294}}
{{x = 369.850525, y = 145.67596399999999}, {x = 382.36291499999999, y = 121.29286999999999}, {x = 406.21127300000001, y = 121.29286999999999}}
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{{x = 67.25299631583178, y = 21.109080184767524}, {x = 43.617595267398613, y = 33.658034168577529}, {x = 33.38371819435676, y = 44.214192553988745}}
{{x = 40.476838859398541, y = 39.543209911285999}, {x = 36.701186108431131, y = 34.8817994016458}, {x = 30.102144288878023, y = 26.739063172945315}}
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<div id="quad6">
{{x = 59.981867574297752, y = 19.243986850744687}, {x = 59.992798861020468, y = 19.257454808070786}, {x = 60.003741189575571, y = 19.270930807443623}}
{{x = 47.800898294803176, y = 89.697640756935641}, {x = 38.74069898238357, y = 58.416865487251982}, {x = 37.639862598936119, y = 44.208141075385868}}
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{{x = 53.674595921148828, y = 8.9336467482771944}, {x = 48.248201817389678, y = 7.5279448682106773}, {x = 89.942031162763953, y = 55.717752573880254}, {x = 81.402728418541486, y = 35.656530426655216}}
{{x = 47.800898294803176, y = 89.697640756935641}, {x = 22.169400016856102, y = 1.1060833004797266}, {x = 48.267509205391399, y = 32.027215013293187}, {x = 79.306880794142785, y = 10.745507157754854}}
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{{x = 41.349524945572696, y = 67.886658677862641}, {x = 39.125562529359087, y = 67.429772735149214}, {x = 35.600314083992416, y = 66.705372160552685}}
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{{x = 35.216235592661825, y = 70.580199617313212}, {x = 36.244476835123969, y = 71.010897787304074}, {x = 37.230244263238326, y = 71.423156953613102}}
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{{353.2948,194.351074}, {353.2948,173.767563}, {364.167572,160.819855}},
{{360.416077,166.795715}, {370.126831,147.872162}, {388.635406,147.872162}},
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{{8, 8}, {10, 10}, {8, -10}},
{{8, 8}, {12, 12}, {14, 4}},
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{{x = 50.230212796400401, y = 38.386469101526998}, {x = 49.855620812184917, y = 38.818990392153609}, {x = 56.356567496227363, y = 47.229909093319407}}
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{{61.3365082, 82.6931328}, {44.6393809, 54.0748258}, {16.8156155, 20.0497047}, {41.866885, 56.7355037}},
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{{40.3684631, 72.7588382}, {85.2198593, 90.174892}, {31.9101421, 13.7580149}, {72.0483425, 16.4930846}},
{{57.7943379, 49.4368549}, {69.4103137, 79.1415428}, {30.9563231, 82.9221187}, {99.2731298, 83.4922981}},
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{{98.3415562, 26.5353662}, {15.3721551, 59.8107939}, {77.1895742, 25.1742572}, {11.7326863, 91.2589209}},
{{79.899867, 77.0640431}, {40.0129651, 97.9042774}, {3.74105489, 75.9095456}, {88.6837571, 7.90615282}},
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{{95.6513419, 12.1029701}, {63.4801516, 10.9081754}, {41.0209588, 39.2537121}, {65.9441362, 23.0970739}},
{{14.6179238, 83.4452002}, {33.7032426, 50.3981092}, {37.1399002, 10.3032037}, {92.5218685, 15.0431467}},
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<div id="cubic14">
{{67.4265481, 37.9937726}, {23.4836959, 90.4768632}, {35.5970651, 79.8724826}, {75.3863417, 18.24489}},
{{61.3365082, 82.6931328}, {44.6393809, 54.0748258}, {16.8156155, 20.0497047}, {41.866885, 56.7355037}},
{{67.4265481,37.9937726}, {51.1295132,57.5422812}, {44.5947482,65.6442673}},
{{44.5947482,65.6442673}, {35.2387481,77.3910511}, {43.2346162,66.2224493}},
{{43.2346162,66.2224493}, {51.8234203,54.2750917}, {75.3863417,18.24489}},
{{61.3365082,82.6931328}, {54.8250789,71.6639328}, {47.7274442,61.4049645}},
{{47.7274442,61.4049645}, {40.6298095,51.1459962}, {35.9460478,45.2252785}},
{{35.9460478,45.2252785}, {31.2622861,39.3045608}, {31.9924758,41.2901124}},
{{31.9924758,41.2901124}, {32.7226655,43.275664}, {41.866885,56.7355037}},
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{{x = 61.336508189019057, y = 82.693132843213675}, {x = 54.825078921449354, y = 71.663932799212432}, {x = 47.727444217558926, y = 61.4049645128392}}
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{{x = 46.703936967162392, y = 53.06860709822206}, {x = 47.619996130907957, y = 54.74372217015916}, {x = 53.020051653535361, y = 48.633140968832024}}
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{{40.3684631, 72.7588382}, {85.2198593, 90.174892}, {31.9101421, 13.7580149}, {72.0483425, 16.4930846}},
{{57.7943379, 49.4368549}, {69.4103137, 79.1415428}, {30.9563231, 82.9221187}, {99.2731298, 83.4922981}},
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{{98.3415562, 26.5353662}, {15.3721551, 59.8107939}, {77.1895742, 25.1742572}, {11.7326863, 91.2589209}},
{{79.899867, 77.0640431}, {40.0129651, 97.9042774}, {3.74105489, 75.9095456}, {88.6837571, 7.90615282}},
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{{95.6513419, 12.1029701}, {63.4801516, 10.9081754}, {41.0209588, 39.2537121}, {65.9441362, 23.0970739}},
{{14.6179238, 83.4452002}, {33.7032426, 50.3981092}, {37.1399002, 10.3032037}, {92.5218685, 15.0431467}},
{{95.6513419,12.1029701}, {79.216947,12.1911515}, {68.1126831,18.0126375}},
{{68.1126831,18.0126375}, {57.0084192,23.8341235}, {55.4198832,27.1619689}},
{{55.4198832,27.1619689}, {53.8313472,30.4898143}, {65.9441362,23.0970739}},
{{14.6179238,83.4452002}, {20.3825754,73.0912112}, {25.0377248,62.5209893}},
{{25.0377248,62.5209893}, {33.2090045,41.6303758}, {46.9147771,27.3313746}},
{{46.9147771,27.3313746}, {60.6205496,13.0323735}, {92.5218685,15.0431467}},
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{{55.7513494, 12.929877}, {46.4296358, 42.8887602}, {16.8160022, 26.5487217}, {4.93643419, 66.6494508}},
{{12.4426199, 23.1121812}, {31.3921366, 7.64067448}, {4.36561578, 72.9044408}, {77.3190123, 0.63959742}},
{{55.7513494,12.929877}, {52.399261,23.0070161}, {46.4958203,27.5595279}},
{{46.4958203,27.5595279}, {40.5923795,32.1120397}, {33.5495747,34.9548738}},
{{33.5495747,34.9548738}, {25.3214643,38.1279717}, {17.6150117,44.5570525}},
{{17.6150117,44.5570525}, {9.90855921,50.9861334}, {4.93643419,66.6494508}},
{{12.4426199,23.1121812}, {17.0040168,19.5021098}, {18.7553606,21.0894159}},
{{18.7553606,21.0894159}, {20.5067044,22.676722}, {21.4650431,26.4450934}},
{{21.4650431,26.4450934}, {22.5692754,31.7464864}, {26.4671516,34.648351}},
{{26.4671516,34.648351}, {30.3650278,37.5502156}, {41.873704,30.8489321}},
{{41.873704,30.8489321}, {53.3823801,24.1476487}, {77.3190123,0.63959742}},
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{{67.4265481,37.9937726}, {51.1295132,57.5422812}, {44.5947482,65.6442674}},
{{61.3365082,82.6931328}, {54.8250789,71.6639328}, {47.7274442,61.4049645}},
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cubic8x7x,
cubic8x8,
cubic8x8x,
cubic8x9,
cubic8x9x,
cubic3,
cubic2,
cubic1,
];
var scale, columns, rows, xStart, yStart;
var ticks = 10;
var at_x = 13 + 0.5;
var at_y = 23 + 0.5;
var init_decimal_places = 1; // make this 3 to show more precision
var decimal_places;
var tests = [];
var testTitles = [];
var testIndex = 0;
var ctx;
var minScale = 1;
var subscale = 1;
var curveT = -1;
var drawCubics = true;
var drawQuads = true;
var drawControlLines = true;
function parse(test, title) {
var curveStrs = test.split("{{");
if (curveStrs.length == 1)
curveStrs = test.split("=(");
var pattern = /[a-z$=]?-?\d+\.*\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;
canvas.width = window.innerWidth - at_x;
canvas.height = window.innerHeight - at_y;
ctx = canvas.getContext('2d');
var xmin = Infinity;
var xmax = -Infinity;
var ymin = Infinity;
var 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]);
}
}
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;
}
xStart = Math.floor(xmin * subscale) / subscale;
yStart = Math.floor(ymin * subscale) / subscale;
var xEnd = Math.ceil(xmin * subscale) / subscale;
var yEnd = Math.ceil(ymin * subscale) / subscale;
var cCelsW = Math.floor(ctx.canvas.width / 10);
var cCelsH = Math.floor(ctx.canvas.height / 10);
testW = xEnd - xStart;
testH = yEnd - yStart;
var scaleWH = 1;
while (cCelsW > testW * scaleWH * 10 && cCelsH > testH * scaleWH * 10) {
scaleWH *= 10;
}
while (cCelsW * 10 < testW * scaleWH && cCelsH * 10 < testH * scaleWH) {
scaleWH /= 10;
}
columns = Math.ceil(xmax * subscale) - Math.floor(xmin * subscale) + 1;
rows = Math.ceil(ymax * subscale) - Math.floor(ymin * subscale) + 1;
var hscale = ctx.canvas.width / columns / ticks;
var vscale = ctx.canvas.height / rows / ticks;
minScale = Math.floor(Math.min(hscale, vscale));
scale = minScale * subscale;
}
function drawPoint(px, py, xoffset, yoffset, unit) {
var label = px.toFixed(decimal_places) + ", " + py.toFixed(decimal_places);
var _px = px * unit + xoffset;
var _py = py * unit + yoffset;
ctx.beginPath();
ctx.arc(_px, _py, 3, 0, Math.PI*2, true);
ctx.closePath();
ctx.fill();
ctx.fillText(label, _px + 5, _py);
}
function draw(test, title, scale) {
ctx.fillStyle = "rgba(0,0,0, 0.1)";
ctx.font = "normal 50px Arial";
ctx.fillText(title, 50, 50);
ctx.font = "normal 10px Arial";
var unit = scale * ticks;
ctx.lineWidth = 1;
var i;
for (i = 0; i <= rows * ticks; ++i) {
ctx.strokeStyle = (i % ticks) != 0 ? "rgb(200,200,200)" : "black";
ctx.beginPath();
ctx.moveTo(at_x + 0, at_y + i * minScale);
ctx.lineTo(at_x + ticks * columns * minScale, at_y + i * minScale);
ctx.stroke();
}
for (i = 0; i <= columns * ticks; ++i) {
ctx.strokeStyle = (i % ticks) != 0 ? "rgb(200,200,200)" : "black";
ctx.beginPath();
ctx.moveTo(at_x + i * minScale, at_y + 0);
ctx.lineTo(at_x + i * minScale, at_y + ticks * rows * minScale);
ctx.stroke();
}
var xoffset = xStart * -unit + at_x;
var yoffset = yStart * -unit + at_y;
ctx.fillStyle = "rgb(40,80,60)"
for (i = 0; i <= columns; i += 1)
{
num = xStart + i / subscale;
ctx.fillText(num.toFixed(decimal_places), xoffset + num * unit - 5, 10);
}
for (i = 0; i <= rows; i += 1)
{
num = yStart + i / subscale;
ctx.fillText(num.toFixed(decimal_places), 0, yoffset + num * unit + 0);
}
var curves, pts;
for (curves in test) {
var curve = test[curves];
if (curve.length == 6 && !drawQuads) {
continue;
}
if (curve.length == 8 && !drawCubics) {
continue;
}
ctx.beginPath();
ctx.moveTo(xoffset + curve[0] * unit, yoffset + curve[1] * unit);
switch (curve.length) {
case 6:
ctx.quadraticCurveTo(
xoffset + curve[2] * unit, yoffset + curve[3] * unit,
xoffset + curve[4] * unit, yoffset + curve[5] * unit);
break;
case 8:
ctx.bezierCurveTo(
xoffset + curve[2] * unit, yoffset + curve[3] * unit,
xoffset + curve[4] * unit, yoffset + curve[5] * unit,
xoffset + curve[6] * unit, yoffset + curve[7] * unit);
break;
}
if (curves == 2) ctx.strokeStyle = curves ? "red" : "blue";
ctx.stroke();
if (drawControlLines) {
ctx.strokeStyle = "rgba(0,0,0, 0.3)";
ctx.beginPath();
ctx.moveTo(xoffset + curve[0] * unit, yoffset + curve[1] * unit);
ctx.lineTo(xoffset + curve[2] * unit, yoffset + curve[3] * unit);
ctx.lineTo(xoffset + curve[4] * unit, yoffset + curve[5] * unit);
if (curve.length == 8)
ctx.lineTo(xoffset + curve[6] * unit, yoffset + curve[7] * unit);
ctx.stroke();
}
if (curveT >= 0 && curveT <= 1) {
var x, y;
var t = curveT;
switch (curve.length) {
case 6:
var one_t = 1 - t;
var a = one_t * one_t;
var b = 2 * one_t * t;
var c = t * t;
x = a * curve[0] + b * curve[2] + c * curve[4];
y = a * curve[1] + b * curve[3] + c * curve[5];
break;
case 8:
var one_t = 1 - t;
var one_t2 = one_t * one_t;
var a = one_t2 * one_t;
var b = 3 * one_t2 * t;
var t2 = t * t;
var c = 3 * one_t * t2;
var d = t2 * t;
x = a * curve[0] + b * curve[2] + c * curve[4] + d * curve[6];
y = a * curve[1] + b * curve[3] + c * curve[5] + d * curve[7];
break;
}
drawPoint(x, y, xoffset, yoffset, unit);
var num = curveT.toFixed(3);
ctx.beginPath();
ctx.rect(200,10,200,10);
ctx.fillStyle="white";
ctx.fill();
ctx.fillStyle="black";
ctx.fillText(num, 230, 18);
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];
var dx = (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];
var dy = (b - a) * one_t * one_t + 2 * (c - b) * t * one_t + (d - c) * t * t;
ctx.beginPath();
ctx.moveTo(xoffset + (x - dx) * unit, yoffset + (y - dy) * unit);
ctx.lineTo(xoffset + (x + dx) * unit, yoffset + (y + dy) * unit);
ctx.stroke();
}
}
}
}
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], scale);
}
function doKeyPress(evt) {
var char = String.fromCharCode(evt.charCode);
switch (char) {
case 'c':
drawCubics ^= true;
redraw();
break;
case 'l':
drawControlLines ^= true;
redraw();
break;
case 'N':
testIndex += 9;
case 'n':
if (++testIndex >= tests.length)
testIndex = 0;
mouseX = Infinity;
drawTop();
break;
case 'P':
testIndex -= 9;
case 'p':
if (--testIndex < 0)
testIndex = tests.length - 1;
mouseX = Infinity;
drawTop();
break;
case 'q':
drawQuads ^= true;
redraw();
break;
case 'x':
drawCubics ^= true;
drawQuads ^= true;
redraw();
break;
}
}
function handleMouseClick() {
var e = window.event;
var tgt = e.target || e.srcElement;
var min = tgt.offsetTop + Math.ceil(at_y);
var max = min + ticks * rows * minScale;
curveT = (e.clientY - min) / (max - min);
redraw();
}
function calcXY() {
var e = window.event;
var tgt = e.target || e.srcElement;
var left = tgt.offsetLeft;
var top = tgt.offsetTop;
var unit = scale * ticks;
mouseX = (e.clientX - left - Math.ceil(at_x) + 1) / unit + xStart;
mouseY = (e.clientY - top - Math.ceil(at_y)) / unit + yStart;
}
function handleMouseOver() {
calcXY();
var num = mouseX.toFixed(3) + ", " + mouseY.toFixed(3);
ctx.beginPath();
ctx.rect(30,10,200,10);
ctx.fillStyle="white";
ctx.fill();
ctx.fillStyle="black";
ctx.fillText(num, 30, 18);
}
function start() {
for (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.onresize = function() {
drawTop();
}
}
</script>
</head>
<body onLoad="start();">
<canvas id="canvas" width="750" height="500"
onmousemove="handleMouseOver()"
onclick="handleMouseClick()"
></canvas >
</body>
</html>