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{{{-708.0077926931004413, -154.6166947224404566}, {-701.0429781735874712, -128.8517387364408933}, {505.58447265625, -504.9130859375}}}, 311 {{{-708.0077926931004413, -154.6166947224404566}, {-721.5125661899801344, -174.4028951148648048}, {-32.39227294921875, -906.3277587890625}}} 312 {{{-707.8363172079705237, -154.25350453766481}, {-708.0077926931004413, -154.6166947224404566}}} 313 {{{-708.1792267111628689, -154.9799046892118213}, {-708.0077926931004413, -154.6166947224404566}}} 314 </div> 315 316 <div id="quad999"> 317 {{{-708.00779269310044, -154.61669472244046}, {-707.92342686353186, -154.30459999551294}, {505.58447265625, -504.9130859375}}}, 318 {{{-708.00779269310044, -154.61669472244046}, {-708.1713780141481, -154.85636789757655}, {-32.39227294921875, -906.3277587890625}}} 319 {{{-708.0077672218041, -154.61664072892336}, {-708.00779269310044, -154.61669472244046}}} 320 {{{-708.00781827681976, -154.61674895426012}, {-708.00779269310044, -154.61669472244046}}} 321 </div> 322 323 <div id="quad113"> 324 {{{425.018310546875, -866.61865234375}, {-918.76531982421875, 209.05322265625}, {964.34716796875, 199.52587890625}}}, 325 {{{425.018310546875, -866.61865234375}, {703.10693359375, -955.0738525390625}, {-952.24664306640625, -717.94775390625}}} 326 </div> 327 328 <div id="quad136"> 329 {{{178.1549072265625, 62.724609375}, {541.3643798828125, 223.823486328125}, {-446.77471923828125, -15.990478515625}}}, 330 {{{178.1549072265625, 62.724609375}, {-347.14031982421875, -834.27191162109375}, {-495.138885498046875, 96.476806640625}}} 331 </div> 332 333 <div id="quad206"> 334 {{{-503.007415771484375, -318.59490966796875}, {-798.330810546875, -881.21630859375}, {-127.2027587890625, 769.6160888671875}}}, 335 {{{-503.007415771484375, -318.59490966796875}, {-153.6217041015625, -776.896728515625}, {-378.43701171875, -296.3197021484375}}} 336 {{{-468.9176053311167607, -89.39573455985038208}, {-503.007415771484375, -318.59490966796875}}} 337 {{{-356.1573846604815685, -497.6768266540607328}, {-503.007415771484375, -318.59490966796875}}} 338 {{{-559.0376987487186398, -420.2054253473417589}, {-503.007415771484375, -318.59490966796875}}} 339 {{{-431.6586315464865606, -409.8353728177644371}, {-503.007415771484375, -318.59490966796875}}} 340 </div> 341 342 <div id="quad640"> 343 {{{412.260498046875, 49.193603515625}, {838.97900390625, 86.9951171875}, {427.7896728515625, -605.6881103515625}}}, 344 {{{412.260498046875, 49.193603515625}, {-995.54583740234375, 990.032470703125}, {-881.18670654296875, 461.211669921875}}} 345 </div> 346 347 <div id="quad3160"> 348 {{{426.645751953125, 813.79150390625}, {-387.23828125, -588.89483642578125}, {792.4261474609375, -704.4637451171875}}}, 349 {{{426.645751953125, 813.79150390625}, {19.24896240234375, -416.09906005859375}, {233.8497314453125, 350.778564453125}}} 350 </div> 351 352 <div id="quad35237"> 353 {{{-770.8492431640625, 948.2369384765625}, {-853.37066650390625, 972.0301513671875}, {-200.62042236328125, -26.7174072265625}}}, 354 {{{-770.8492431640625, 948.2369384765625}, {513.602783203125, 578.8681640625}, {960.641357421875, -813.69757080078125}}} 355 </div> 356 357 <div id="quad37226"> 358 {{{563.8267822265625, -107.4566650390625}, {-44.67724609375, -136.57452392578125}, {492.3856201171875, -268.79644775390625}}}, 359 {{{563.8267822265625, -107.4566650390625}, {708.049072265625, -100.77789306640625}, {-48.88226318359375, 967.9022216796875}}} 360 </div> 361 362 <div id="quad67242"> 363 {{{598.857421875, 846.345458984375}, {-644.095703125, -316.12921142578125}, {-97.64599609375, 20.6158447265625}}}, 364 {{{598.857421875, 846.345458984375}, {715.7142333984375, 955.3599853515625}, {-919.9478759765625, 691.611328125}}} 365 </div> 366 367 <div id="quad208"> 368 {{{481.1463623046875, -687.09613037109375}, {643.64697265625, -951.9462890625}, {162.5869140625, 698.7342529296875}}}, 369 {{{481.1463623046875, -687.09613037109375}, {171.8175048828125, -919.07977294921875}, {153.3433837890625, -587.43072509765625}}} 370 </div> 371 372 <div id="quad8a"> 373 {{{344.2755126953125, -689.900390625}, {743.6728515625, 512.8448486328125}, {928.598388671875, 111.946044921875}}}, 374 {{{344.2755126953125, -689.900390625}, {-950.03106689453125, -511.25741577148437}, {850.8173828125, 798.4874267578125}}} 375 </div> 376 377 <div id="quad8b"> 378 {{{344.2755126953125, -689.900390625}, {928.598388671875, 111.946044921875}, {743.6728515625, 512.8448486328125}}}, 379 {{{344.2755126953125, -689.900390625}, {-950.03106689453125, -511.25741577148437}, {850.8173828125, 798.4874267578125}}} 380 </div> 381 382 <div id="quad8741"> 383 {{{944.9024658203125, 939.454345703125}, {-971.06219482421875, -914.24395751953125}, {-878.764404296875, -297.61602783203125}}}, 384 {{{944.9024658203125, 939.454345703125}, {-838.96612548828125, -785.837646484375}, {-126.80029296875, 921.1981201171875}}} 385 {{{107.03238931174118, 218.460612766889}, {944.9024658203125, 939.454345703125}}} 386 {{{-292.72752350740279, 99.917575976335598}, {944.9024658203125, 939.454345703125}}} 387 </div> 388 389 <div id="quad89987"> 390 {{{939.4808349609375, 914.355224609375}, {-357.7921142578125, 590.842529296875}, {736.8936767578125, -350.717529296875}}}, 391 {{{939.4808349609375, 914.355224609375}, {-182.85418701171875, 634.4552001953125}, {-509.62615966796875, 576.1182861328125}}} 392 </div> 393 394 <div id="simplifyQuadratic36"> 395 {{{1.9474306106567383, 2.3777823448181152}, {1.9234547048814592, 2.2418855043499213}, {1.8885438442230225, 2.1114561557769775}}} 396 {{{1.9474306106567383, 2.3777823448181152}, {2.0764266380046235, 2.2048800651418379}, {1.8888888359069824, 2.1111111640930176}}} 397 </div> 398 399 <div id="simplifyQuadratic58"> 400 {{326.236786,205.854996}, {329.104431,231.663818}, {351.512085,231.663818}} 401 {{303.12088,141.299606}, {330.463562,217.659027}} 402 </div> 403 404 <div id="simplifyQuadratic58a"> 405 {{{326.23678588867188, 205.85499572753906}, {328.04376176056422, 222.11778818951981}, {337.6092529296875, 228.13298034667969} 406 {{{303.12088012695312, 141.29960632324219}, {330.46356201171875, 217.65902709960937} 407 </div> 408 409 <div id="quadratic58again"> 410 {{322.935669,231.030273}, {312.832214,220.393295}, {312.832214,203.454178}} 411 {{322.12738,233.397751}, {295.718353,159.505829}} 412 </div> 413 414 <div id="simplifyQuadratic56"> 415 {{{380.29449462890625, 140.44486999511719}, {387.29080200195312, 136.67460632324219}, {396.0399169921875, 136.67460632324219}}} 416 {{{380.29449462890625, 140.44486999511719}, {388.29925537109375, 136.67460632324219}, {398.16494750976562, 136.67460632324219}}} 417 {{{380.29449462890625, 140.44486999511719}, {387.692810, 137.858429}}} 418 </div> 419 420 <div id="simplifyQuadratic56a"> 421 {{{380.29449462890625, 140.44486999511719}, {387.29079954793264, 136.67460632324219}, {396.0399169921875, 136.67460632324219}}} 422 {{{380.29449462890625, 140.44486999511719}, {388.29925767018653, 136.67460632324219}, {398.16494750976562, 136.67460632324219}}} 423 {{fX=380.29449462890625 fY=140.44486999511719 }, {fX=398.16494750976562 fY=136.67460632324219 }} } 424 {{fX=380.29449462890625 fY=140.44486999511719 }, {fX=396.03991699218750 fY=136.67460632324219 }} 425 </div> 426 427 <div id="simplifyQuadratic27"> 428 {{{1, 1}, {1, 0.666666687f}, {0.888888896f, 0.444444448f}}} 429 {{{1, 1}, {1, 0.5f}, {0, 0}}} 430 {{fX=1.0000000000000000 fY=1.0000000000000000 }, {fX=0.00000000000000000 fY=0.00000000000000000 }} } 431 {{fX=1.0000000000000000 fY=1.0000000000000000 }, {fX=0.88888889551162720 fY=0.44444444775581360 }} } 432 </div> 433 434 <div id="cubicOp7d"> 435 {{{0.7114982008934021, 1.6617077589035034}, {0.51239079236984253, 1.4952657222747803}, {0.27760171890258789, 1.2776017189025879}, {0, 1}}} 436 {{{0.7114982008934021, 1.6617077589035034}, {0.20600014925003052, 1.7854888439178467}, {9.8686491813063348e-017, 1.9077447652816772}, {0, 1}}} 437 </div> 438 439 <div id="cubicOp25i"> 440 {{{3.3856770992279053, 1.6298094987869263}, {3.777235186270762, 1.2744716237277114}, {3.7191683314895783, 1.4127666421509713}, {3.3995792865753174, 1.6371387243270874}}} 441 {{{3.3856770992279053, 1.6298094987869263}, {3.3902986605112582, 1.6322361865810757}, {3.3949326825525121, 1.6346792563210237}, {3.3995792865753174, 1.6371387243270874}}} 442 {{3.3856770992279053, 1.6298094987869263 }, {3.3995792865753174, 1.6371387243270874 }} 443 </div> 444 445 <div id="eldorado1"> 446 {{{1006.69513f, 291}, {1023.26367f, 291}, {1033.84021f, 304.431458f}, {1030.31836f, 321}}} 447 {{{1030.318359375, 321}, {1036.695068359375, 291}}} 448 {{fX=1030.3183593750000 fY=321.00000000000000 }, {fX=1006.6951293945312 fY=291.00000000000000 }} } 449 </div> 450 451 <div id="carpetplanet1"> 452 {{fX=67.000000000000000, 913.00000000000000 }, {194.00000000000000, 1041.0000000000000 }} } 453 {{fX=67.000000000000000, 913.00000000000000 }, {67.662002563476562, 926.00000000000000 }} } 454 {{{67, 913}, {67, 917.388977f}, {67.223999f, 921.726013f}, {67.6620026f, 926}}} 455 {{{67, 913}, {67, 983.692017f}, {123.860001f, 1041}, {194, 1041}}} 456 {{{67, 913}, {67.17070902440698, 919.69443917507760}}} 457 </div> 458 459 <div id="cubicOp104"> 460 {{{2.25, 2.5}, {4.5, 1}}} 461 {{{2.25, 2.5}, {3.0833333333333321, 1.9999999999999973}, {4.0277778307596899, 1.2777777777777759}, {4.8611111640930176, 1}}} 462 {{{2.25, 2.5}, {1.9476099234472042, 2.6814340459316774}, {1.6598502000264239, 2.8336073904096661}, {1.3973386287689209, 2.9246666431427002}}} 463 {{{2.25, 2.5}, {1.2674896717071533, 3.1550068855285645}}} 464 </div> 465 466 <div id="cubicOp105"> 467 {{{2.4060275554656982, 3.4971563816070557}, {2.9702522134213849, 4.2195279679982622}, {3.8172613958721247, 5.0538091166976979}, {5, 6}}} 468 {{{2.4060275554656982, 3.4971563816070557}, {3.4194286958002023, 3.5574883660881684}, {4.0077197935900575, 2.6628073781813661}, {2.2602717876434326, 0.33545622229576111}}} 469 </div> 470 471 <div id="cubicOp106"> 472 {{{0.80825299024581909, 1.9691258668899536}, {0.8601454496383667, 1.9885541200637817}, {0.92434978485107422, 2}, {1, 2}}} 473 {{{0.80825299024581909, 1.9691258668899536}, {2.2400102615356445, 3.5966837406158447}, {2.5486805438995361, 3.362929105758667}, {2.494147777557373, 2.5976591110229492}}} 474 {{{0.80825299024581909, 1.9691258668899536}, {2.494147777557373, 2.5976591110229492}}} 475 {{{0.80825299024581909, 1.9691258668899536}, {1, 2}}} 476 </div> 477 478 <div id="cubicOp109"> 479 {{{5, 4}, {5.443139240552143931, 3.556860759447856069}, {5.297161243696338673, 3.702838775882067335}, {4.649086475372314453, 3.654751062393188477}}} 480 {{{5, 4}, {4.876459521889748849, 3.876459521889748849}, {4.759596556247283949, 3.761504502886134915}, {4.649086475372314453, 3.654751062393188477}}} 481 </div> 482 483 <div id="skpwww_joomla_org_23"> 484 {{{421, 378}, {421, 380.209137f}, {418.761414f, 382}, {416, 382}}} 485 {{{320, 378}, {421, 378.000031f}}} 486 {{{421, 378.000031f}, {421, 383}}} 487 {{{416, 383}, {418.761414f, 383}, {421, 380.761414f}, {421, 378}}} 488 </div> 489 490 <div id="xop1i"> 491 {{5.000,1.000}, {5.191,0.809}, {5.163,0.837}, {4.993,1.000}} 492 {{5.000,1.000}, {4.968,1.024}} 493 {{5.000,1.000}, {4.998,1.000}, {4.995,1.000}, {4.993,1.000}} 494 </div> 495 496 <div id="xop1u"> 497 {{3.500,3.500}, {3.000,4.000}, {2.500,4.500}, {1.000,4.000}} 498 {{3.500,3.500}, {3.113,3.887}, {2.725,4.275}, {2.338,3.732}} 499 </div> 500 501 <div id="xOp2i"> 502 {{{2, 3}, {1.3475509011665685, 4.9573472965002949}, {2.8235509286078759, 3.5091759365574173}, {3.6505906581878662, 1.9883773326873779}}} 503 {{{2, 3}, {2.4604574005585795, 2.654656949581065}, {3.0269255632437986, 2.3093137214344743}, {3.6505906581878662, 1.9883773326873779}}} 504 {{{2, 3}, {1.0000000000000013, 3.7500000000000004}, {0.500000000000001, 4.5}, {1, 5}}} 505 </div> 506 507 <div id="testQuadratic56"> 508 {{{380.29449462890625, 140.44486999511719}, {379.59701460635523, 140.8207374882179}, {378.91729736328125, 141.23385620117187}}} 509 {{{380.29449462890625, 140.44486999511719}, {387.29079954793264, 136.67460632324219}, {396.0399169921875, 136.67460632324219}}} 510 {{{380.29449462890625, 140.44486999511719}, {388.29925767018653, 136.67460632324219}, {398.16494750976562, 136.67460632324219}}} 511 </div> 512 513 <div id="testQuad15"> 514 {{{1, 3}, {1, 1}}} 515 {{{1, 3}, {0, 0}}} 516 {{{1, 3}, {2, 0}, {0, 0}}} 517 </div> 518 519 <div id="testQuad21"> 520 {{{0, 0}, {1, 1}}} 521 {{{0, 0}, {3, 0}, {2, 3}}} 522 {{{0, 0}, {2, 3}}} 523 {{{0, 0}, {2, 1}}} 524 </div> 525 526 <div id="testQuad22"> 527 {{{0, 0}, {1.2000000476837158, 0.80000001192092896}}} 528 {{{0, 0}, {2, 0}}} 529 {{{0, 0}, {0, 1}, {3, 2}}} 530 {{{0, 0}, {1, 1}}} 531 </div> 532 533 <div id="testQuad23"> 534 {{{1, 3}, {1.9090908914804459, 1.1818182170391081}, {0.33884298801422119, 1.0165289640426636}}} 535 {{{1, 3}, {0.33884298801422119, 1.0165289640426636}}} 536 {{{1, 3}, {3, 0}}} 537 </div> 538 539 <div id="cubicOp35d"> 540 {{{2.211416482925415, 1.6971458196640015}, {1.2938009262874868, 2.8273619288830005}, {0.64690048634813535, 3.5876019453925414}, {0, 1}}} 541 {{{2.211416482925415, 1.6971458196640015}, {1.0082962512969971, 1.997925877571106}}} 542 {{{2.211416482925415, 1.6971458196640015}, {5, 1}}} 543 </div> 544 545 <div id="skpnational_com_au81"> 546 {{{1110.7071533203125, 817.29290771484375}, {1110.9998779296875, 817.58587646484375}, {1111, 818}}} 547 {{{1110.7071533203125, 817.29290771484375}, {1110.526180767307778, 817.1119214508684081}, {1110.276144384999725, 817}, {1110, 817}}} 548 {{{1110.7071533203125, 817.29290771484375}, {1110.888097894721341, 817.4738660071997174}, {1111, 817.7238677851287321}, {1111, 818}}} 549 {{{1110.7071533203125, 817.29290771484375}, {1110.4140625, 817.0001220703125}, {1110, 817}}} 550 </div> 551 552 <div id="cubicOp85d"> 553 {{{1.0648664236068726, 2.9606373310089111}, {0.80208036362614099, 2.7936484180272374}, {0.49170560730211144, 2.2292640182552783}, {0, 1}}} 554 {{{1.0648664236068726, 2.9606373310089111}, {0.6261905430171294, 3.2248910899179175}, {0.38860045191888659, 2.9430022595944321}, {0, 1}}} 555 {{{1.0648664236068726, 2.9606373310089111}, {1.4282355765013004, 3.191542348791669}, {1.7006143409852195, 2.6626209548338378}, {2.2355968952178955, 2.0810616016387939}}} 556 {{{1.0648664236068726, 2.9606373310089111}, {1.3437142856601656, 2.7926622975690494}, {1.7038131304059798, 2.4040122748806132}, {2.2355968952178955, 2.0810616016387939}}} 557 </div> 558 559 <div id="testQuads22"> 560 {{{0, 0}, {1.20000004768371582, 0.8000000119209289551}}} 561 {{{0, 0}, {2, 0}}} 562 {{{0, 0}, {0, 1}, {3, 2}}} 563 {{{0, 0}, {1, 1}}} 564 </div> 565 566 <div id="cubicOp59d"> 567 {{{4, 1}, {4, 0.37698365082686142}, {4.3881493046286568, 2.4710128800004547}, {3.4716842174530029, 2.9292664527893066}}} 568 {{{4, 1}, {0, 1}}} 569 </div> 570 571 <div id="findFirst1"> 572 {{{2.5767931938171387, 0.88524383306503296}, {2.4235948002142855, 0.88692501490384834}, {2.2328897699358898, 0.92237007668803672}, {2, 1}}} 573 {{{2.5767931938171387, 0.88524383306503296}, {1.6008643534817426, 1.1609015907463158}, {1.1200849961943122, 1.8138386966264941}, {0.75343161821365356, 2.7170474529266357}}} 574 {{{2.5767931938171387, 0.88524383306503296}, {4.0492746201577932, 0.86908498848619054}, {2.0567957107800288, 3.9721309710522448}, {0.75343161821365356, 2.7170474529266357}}} 575 {{{2.5767931938171387, 0.88524383306503296}, {3.3470152174198557, 0.66768936887879282}, {4.4256496583071421, 0.68512993166142844}, {6, 1}}} 576 {{{2.57679319, 0.885243833}, {5.15358639, 0.885243833}}} 577 </div> 578 579 <div id="testQuads54"> 580 {{1.000,1.000}, {1.500,0.500}, {1.500,0.250}} 581 {{1.000,1.000}, {1.667,0.333}} 582 {{1.000,1.000}, {2.000,3.000}} 583 </div> 584 585 <div id="testQuads45"> 586 {{{3, 3}, {3, 2.7999999523162842}, {2.880000114440918, 2.6400001049041748}}} 587 {{{3, 3}, {3, 2}, {2, 0}}} 588 {{{3, 3}, {2, 0}}} 589 {{{3, 3}, {2.880000114440918, 2.6400001049041748}}} 590 </div> 591 592 <div id="testQuads59"> 593 {{{3, 1}, {3, 0}}} 594 {{{3, 1}, {2.6666667461395264, 0.66666668653488159}}} 595 {{{3, 1}, {2.8000003099441542, 1.1999996900558463}, {2.6800000667572021, 1.3600000143051147}}} 596 {{{3, 1}, {2.6666667461395264, 1.3333333730697632}}} 597 </div> 598 599 <div id="skpcarrot_is24"> 600 {{{1020.08099, 672.161987}, {1020.08051, 651.450988}, {1011.68576, 632.700988}, {998.113511, 619.128738}}} 601 {{{1020.08099, 672.161987}, {1019.27607, 640.291301}, {998.113511, 619.128738}}} 602 {{{1020, 672}, {1020, 651.289307}, {1012.67767, 633.611633}, {998.03302, 618.96698}}} 603 {{{1020, 672}, {1020, 640.93396}, {998.03302, 618.96698}}} 604 </div> 605 606 <div id="skpcarrot_is24a"> 607 {{{1020, 672}, {1020, 651.289307}, {1012.67767, 633.611633}, {998.03302, 618.96698}}} 608 {{{1020, 672}, {1020, 640.93396}, {998.03302, 618.96698}}} 609 </div> 610 611 <div id="skpcarrot_is24b"> 612 {{{1020.08099, 672.161987}, {1020.08051, 651.450988}, {1011.68576, 632.700988}, {998.113511, 619.128738}}} 613 {{{1020.08099, 672.161987}, {1019.27607, 640.291301}, {998.113511, 619.128738}}} 614 </div> 615 616 <div id="skpcarrot_is24c"> 617 {{{{1020.08099,672.161987}, {1020.08002,630.73999}, {986.502014,597.161987}, {945.080994,597.161987}}}, 618 {{{1020,672}, {1020,640.93396}, {998.03302,618.96698}}}, 619 </div> 620 621 <div id="skpcarrot_is24d"> 622 {{{1020.08099, 672.161987}, {1019.27607, 640.291301}, {998.113511, 619.128738}}} 623 {{{1020, 672}, {1020, 640.93396}, {998.03302, 618.96698}}} 624 </div> 625 626 <div id="skpcarrot_is24e"> 627 {{{{1020.08099,672.161987}, {1020.08002,630.73999}, {986.502014,597.161987}, {945.080994,597.161987}}}, 628 {{{1020.08099, 672.161987}, {1019.27607, 640.291301}, {998.113511, 619.128738}}} 629 {{{1020, 672}, {1020, 640.93396}, {998.03302, 618.96698}}} 630 </div> 631 632 <div id="slop1"> 633 {{{-378.22698974609375, -987.8935546875}, {-47.53326416015625, 482.7139892578125}, {-626.4708251953125, -338.62969970703125}, {-847.94854736328125, -861.42230224609375}}} 634 {{{-378.61790442466736, -987.49146723747253}, {-282.51787429804051, -556.39065286764685}, {-278.55106873374694, -364.17984985308294}}} 635 {{{-305.5273847156202, -615.99979442705023}, {-305.04071954345704, -612.87932617187505}}} 636 </div> 637 638 qT=0.98917687 cT=0.788725084 dist=312.188493 cross=-40759.4852 639 <div id="slop2"> 640 {{{79.5137939,-249.867188}, {260.778931,-561.349854}, {343.375977,-472.657898}, {610.251465,97.8208008}}} 641 {{{312.993284,-406.178762}, {418.053808,-326.9483}, {610.036929,97.2408578}}} 642 {{{463.107827,-200.015424}, {602.008878,79.5702581}}} 643 </div> 644 645 qT=0.0192863061 cT=0.241285225 dist=652.007881 cross=528435.665 646 <div id="slop3"> 647 {{{-895.015015,-523.545288}, {223.166992,-999.644531}, {615.428711,-767.162109}, {605.479736,480.355713}}} 648 {{{-894.932414,-523.605499}, {-66.4040558,-889.938889}, {278.515212,-667.684158}}} 649 {{{-207.851881,-740.109296}, {-831.819002,-550.955104}}} 650 </div> 651 652 qT=0.0245724525 cT=0.231316637 dist=407.103004 cross=-46286.5686 653 <div id="slop4"> 654 {{{876.492798,-849.716187}, {519.430908,-288.374207}, {187.2771,314.324341}, {335.363403,533.086548}}} 655 {{{876.323133,-849.535824}, {594.868958,-415.229224}, {416.667192,-30.0277669}}} 656 {{{638.343827,-458.798274}, {849.023879,-807.14691}}} 657 </div> 658 659 qT=0.000316393778 cT=0.248252634 dist=489.678412 cross=-57352.7653 660 <div id="slop5"> 661 {{{876.492798,-849.716187}, {519.430908,-288.374207}, {187.2771,314.324341}, {335.363403,533.086548}}} 662 {{{876.147506,-849.184429}, {593.963775,-414.437342}, {416.842819,-30.3791618}}} 663 {{{622.139843,-430.512844}, {876.135915,-849.166571}}} 664 </div> 665 666 qT=0.989562776 cT=0.760518485 dist=211.50589 cross=134901.42 667 <div id="slop6"> 668 {{{876.492798,-849.716187}, {519.430908,-288.374207}, {187.2771,314.324341}, {335.363403,533.086548}}} 669 {{{416.141554,-30.4534414}, {237.846068,356.664216}, {335.719378,533.692585}}} 670 {{{305.345404,315.701195}, {331.440368,525.591152}}} 671 </div> 672 673 qT=0.0978245708 cT=0.397465904 dist=959.737748 cross=158093.403 674 <div id="slop7"> 675 {{{895.800171,-222.213013}, {-528.78833,526.47644}, {-967.299927,776.05603}, {-611.228027,319.934814}}} 676 {{{629.666617,-82.159942}, {-661.943328,620.81113}, {-723.44072,537.121833}}} 677 {{{-347.560585,421.003177}, {507.062151,-15.707855}}} 678 </div> 679 680 qT=0.169803964 cT=0.389326872 dist=658.039939 cross=107865.424 681 <div id="slop8"> 682 {{{895.800171,-222.213013}, {-528.78833,526.47644}, {-967.299927,776.05603}, {-611.228027,319.934814}}} 683 {{{629.536617,-81.7990275}, {-662.457623,620.485316}, {-723.31072,536.760918}}} 684 {{{-330.996421,413.091598}, {257.080063,117.824582}}} 685 </div> 686 687 qT=0.0863836955 cT=0.387901231 dist=986.24777 cross=157348.113 688 <div id="slop9"> 689 {{{895.800171,-222.213013}, {-528.78833,526.47644}, {-967.299927,776.05603}, {-611.228027,319.934814}}} 690 {{{629.248316,-81.8984216}, {-662.339696,620.351182}, {-723.022419,536.860313}}} 691 {{{-328.058099,411.68229}, {549.399512,-38.5985162}}} 692 </div> 693 694 qT=0.175359403 cT=0.390420692 dist=640.051938 cross=105488.084 695 <div id="slop10"> 696 {{{895.800171,-222.213013}, {-528.78833,526.47644}, {-967.299927,776.05603}, {-611.228027,319.934814}}} 697 {{{629.760605,-81.9577046}, {-661.301606,620.029216}, {-723.534707,536.919596}}} 698 {{{-333.243516,414.168229}, {238.961251,127.37878}}} 699 </div> 700 701 qT=0.0986412358 cT=0.382365595 dist=921.951857 cross=145651.761 702 <div id="slop11"> 703 {{{895.800171,-222.213013}, {-528.78833,526.47644}, {-967.299927,776.05603}, {-611.228027,319.934814}}} 704 {{{629.919588,-82.1841825}, {-662.488256,620.04494}, {-723.693691,537.146073}}} 705 {{{-316.541641,406.142013}, {504.067361,-14.0913644}}} 706 </div> 707 708 qT=0.146746849 cT=0.391456086 dist=750.006927 cross=123679.094 709 <div id="slop12"> 710 {{{895.800171,-222.213013}, {-528.78833,526.47644}, {-967.299927,776.05603}, {-611.228027,319.934814}}} 711 {{{629.712675,-82.0366321}, {-661.487948,620.191832}, {-723.486777,536.998523}}} 712 {{{-335.364605,415.183549}, {334.079508,77.0194322}}} 713 </div> 714 715 qT=0.00196158131 cT=0.20357489 dist=466.080185 cross=241741.95 716 <div id="slop13"> 717 {{{-627.671509,-359.277039}, {222.414551,-791.598328}, {390.603027,-581.903687}, {-21.7962036,560.33728}}} 718 {{{-627.675958,-359.282959}, {-52.012535,-659.029798}, {116.967835,-524.756101}}} 719 {{{-192.427848,-541.033993}, {-622.696937,-361.871356}}} 720 </div> 721 722 qT=0.948725598 cT=0.744200608 dist=699.694313 cross=179509.878 723 <div id="slop14"> 724 {{{-362.331848,427.292603}, {634.418701,-661.946533}, {438.438599,-626.147278}, {-893.060425,214.243408}}} 725 {{{259.978301,-393.549091}, {181.692599,-474.452437}, {-892.389834,213.689096}}} 726 {{{-95.1310032,-267.365579}, {-696.89984,89.6307768}}} 727 </div> 728 729 qT=0.971677129 cT=0.755306143 dist=771.998962 cross=189468.817 730 <div id="slop15"> 731 {{{-362.331848,427.292603}, {634.418701,-661.946533}, {438.438599,-626.147278}, {-893.060425,214.243408}}} 732 {{{259.662278,-393.355886}, {181.612843,-473.935297}, {-892.073812,213.495892}}} 733 {{{-120.438346,-253.451518}, {-782.461182,143.673352}}} 734 </div> 735 736 qT=0.571797795 cT=0.773951562 dist=495.560209 cross=221091.889 737 <div id="slop16"> 738 {{{447.192383,-883.210205}, {359.794678,-987.765808}, {755.427612,-754.328735}, {963.672119,746.545776}}} 739 {{{635.795655,-580.726915}, {810.704547,-228.491534}, {963.345162,745.921688}}} 740 {{{801.470356,-87.7105789}, {646.551495,-558.433498}}} 741 </div> 742 743 qT=0.579236693 cT=0.782683167 dist=281.750564 cross=65125.1655 744 <div id="slop17"> 745 {{{-931.259155,-883.589966}, {-485.682007,-615.793701}, {-68.5913696,-928.695923}, {431.499268,-810.584778}}} 746 {{{-177.087049,-804.265618}, {110.452267,-866.525236}, {430.718323,-810.414444}}} 747 {{{116.080189,-836.904702}, {-164.080748,-807.017753}}} 748 </div> 749 750 qT=0.0102075348 cT=0.2448024 dist=855.408492 cross=463614.179 751 <div id="slop18"> 752 {{{-867.011292,844.139282}, {-136.156799,-281.244263}, {583.27771,-926.761414}, {998.710205,6.19244385}}} 753 {{{-866.7221,843.65105}, {-308.756317,-34.8353977}, {183.843514,-346.222431}}} 754 {{{-336.612013,120.039627}, {-844.283739,808.5112}}} 755 </div> 756 757 qT=0.473968306 cT=0.266805943 dist=567.851844 cross=-461509.104 758 <div id="slop19"> 759 {{{-867.011292,844.139282}, {-136.156799,-281.244263}, {583.27771,-926.761414}, {998.710205,6.19244385}}} 760 {{{-867.218781,844.133445}, {-310.496711,-35.0458119}, {184.340195,-346.704825}}} 761 {{{-290.018097,66.7065093}, {132.536746,-312.639141}}} 762 </div> 763 764 qT=0.0232589401 cT=0.241085469 dist=789.989464 cross=428119.544 765 <div id="slop20"> 766 {{{-867.011292,844.139282}, {-136.156799,-281.244263}, {583.27771,-926.761414}, {998.710205,6.19244385}}} 767 {{{-866.942271,843.928587}, {-309.178151,-34.0018497}, {184.063685,-346.499968}}} 768 {{{-344.507162,129.265381}, {-815.30119,763.644082}}} 769 </div> 770 771 <div id="skpnamecheap_405"> 772 {{{141.008835f, 837.9646f}, {141.235291f, 1109.05884f}}} 773 {{{141, 842}, {141.14502f, 1000}}} 774 {{{141.14502f, 1000}, {140, 1000}}} 775 </div> 776 777 <div id="skpwww_dealnews_com_315"> 778 {{{969.87066650390625, 4279.810546875}, {967.7166748046875, 4260}}} 779 {{{969.87066650390625, 4279.810546875}, {969.866972698829386, 4279.809233889284769}, {969.88751220703125, 4279.81640625}}} 780 {{{969.87066650390625, 4279.810546875}, {970, 4281}}} 781 {{{969.87066650390625, 4279.810546875}, {968.9217161046863112, 4279.473236623693992}, {968.17156982421875, 4278.53564453125}}} 782 {{{969.8706626470486754, 4279.810469740555163}, {969.8790796016525064, 4279.813461598796493}, {969.88751220703125, 4279.81640625}}} 783 </div> 784 785 <div id="skpwww_dealnews_com_315_a"> 786 {{{969.8706626470486754, 4279.810469740555163}, {969.8790796016525064, 4279.813461598796493}, {969.88751220703125, 4279.81640625}}} 787 {{{969.87066650390625, 4279.810546875}, {969.8790834585100811, 4279.81353873324133}}} 788 {{{969.88751220703125, 4279.81640625}, {969.8790796016525064, 4279.813461598796493}}} 789 </div> 790 791 <div id="testQuads60"> 792 {{{2, 2}, {1.977731304590550021, 1.97773134708404541}, {1.95645439624786377, 1.95546269416809082}}} 793 {{{2, 2}, {2, 3}}} 794 {{{2, 2}, {2, 1.960000038146972656}}} 795 {{{2, 2}, {1.955341815948486328, 1.955341815948486328}}} 796 </div> 797 798 <div id="testQuads60_a"> 799 {{{2, 0}, {1, 1}, {2, 2}}} 800 {{{2, 2}, {0, 0}}} 801 </div> 802 803 <div id="testQuads60_b"> 804 {{2,1}, {0,2}, {3,2}}, 805 {{3,2}, {2,3}}, 806 {{2,3}, {2,1}}, 807 {{0,0}, {2,0}}, 808 {{2,0}, {1,1}, {2,2}}, 809 {{2,2}, {0,0}}, 810 </div> 811 812 <div id="skpelpais_com_18"> 813 {{183,8507}, {552,8506.99023}}, 814 {{552,8506.99023}, {552,8508}}, 815 {{552,8508}, {183,8508}}, 816 {{183,8508}, {183,8507}}, 817 op intersect 818 {{183,8508}, {183,8506.99023}}, 819 {{183,8506.99023}, {552,8507}}, 820 {{552,8507}, {552,8508}}, 821 </div> 822 823 <div id="skpwww_cityads_ru_249"> 824 {{{1000, 10.4003992f}, {1000, 13.3527431f}}} 825 {{{1000, 13.3527431f}, {999.917603f, 13.2607508f}, {999.82843f, 13.1715727f}}} 826 {{{1000, 13}, {999.969971f, 37.0299988f}}} 827 </div> 828 829 <div id="skpwww_maturesupertube_com_21"> 830 {{{{3.87867975f, 11831.8789f}, {4.7573595f, 11831}, {6, 11831}}}, 831 {{{2, 11830}, {4.5f, 11832.5f}}}}, 832 </div> 833 834 <div id="loop1"> 835 {{1, 4, 2, 6, 0, 5, 4.5f, 4.33333302f 836 {{2, 6, 0, 5, 4.5f, 4.33333302f, 1, 4 837 {{{3, 5}, {2.33333325f, 4.33333349f}, {3.83333325f, 3.83333349f}, {2, 4}}} 838 {{{2, 4}, {3, 5}, {2.33333325f, 4.33333349f}, {3.83333325f, 3.83333349f}}} 839 </div> 840 841 <div id="serp1"> 842 {{{0.55431359440952721, 2.1086271888190544}, {0.1588954256872922, 2.3078315988141811}, {0.57446808656344528, 2.1489361731268914}, {0, 1}}} 843 {{{0.55431359440952721, 2.1086271888190544}, {0.1588954256872922, 2.3078315988141811}, {0.57446808656344528, 2.1489361731268914}, {0, 1}}} 844 </div> 845 <div id="serp2"> 846 {{{4.0946656649135988, 3.283996994740797}, {4.1983471074380168, 2.1074380165289259}, {4.5454545454545459, 1.3636363636363635}, {4, 3}}} 847 {{{4.0946656649135988, 3.283996994740797}, {4.1983471074380168, 2.1074380165289259}, {4.5454545454545459, 1.3636363636363635}, {4, 3}}} 848 </div> 849 <div id="serp3"> 850 {{{2.2015477442471254, 1.1371488033013577}, {2.3167674423028526, 0.68323255769714741}, {2.4076432497431028, 0.59235675025689716}, {2, 1}}} 851 {{{2.2015477442471254, 1.1371488033013577}, {2.3167674423028526, 0.68323255769714741}, {2.4076432497431028, 0.59235675025689716}, {2, 1}}} 852 </div> 853 854 <div id="skpwww_seopack_blogspot_com_2153"> 855 {{{924, 245.472672f}, {1143, 247}}} 856 {{{1000, 246}, {927.340759f, 245.505722f}}} 857 {{{999.892212f, 246}, {927.340759f, 245.505722f}}} 858 </div> 859 860 <div id="self1"> 861 {{{2, 3}, {0, 4}, {3, 2}, {5, 3}}} 862 {{{2, 3}, {0, 4}, {3, 2}, {5, 3}}} 863 </div> 864 865 <div id="skpwww_pindosiya_com_99"> 866 {{{901.0869140625, 547}, {899, 556}}} 867 {{{900.0235595703125, 551.60284423828125}, {900.06072998046875, 551.29705810546875}, {900.15655517578125, 551.0157470703125}}} 868 </div> 869 870 <div id="cubicLineMiss1"> 871 {{{-634.60540771484375, -481.262939453125}, {266.2696533203125, -752.70867919921875}, {-751.8370361328125, -317.37921142578125}, {-969.7427978515625, 824.7255859375}}} 872 {{{-287.9506133720805678, -557.1376476615772617}, {-285.9506133720805678, -557.1376476615772617}}} 873 </div> 874 875 <div id="cubicLineMiss2"> 876 {{{-818.4456787109375, 248.218017578125}, {944.18505859375, -252.2330322265625}, {957.3946533203125, -45.43280029296875}, {-591.766357421875, 868.6187744140625}}} 877 {{{435.1963493079119871, -16.42683763243891093}, {437.1963493079119871, -16.42683763243891093}}} 878 </div> 879 880 <div id="cubicLineMiss3"> 881 {{{-818.4456787109375, 248.218017578125}, {944.18505859375, -252.2330322265625}, {957.3946533203125, -45.43280029296875}, {-591.766357421875, 868.6187744140625}}} 882 {{{397.5007682490800676, -17.35020084021140008}, {399.5007682490800676, -17.35020084021140008}}} 883 </div> 884 885 <div id="cubicLineMiss4"> 886 {{{-652.660888671875, -384.6475830078125}, {-551.7723388671875, -925.5025634765625}, {-321.06658935546875, -813.10345458984375}, {142.6982421875, -47.4503173828125}}} 887 {{{-478.4372049758064236, -717.868282575075682}, {-476.4372049758064236, -717.868282575075682}}} 888 </div> 889 890 <div id="cubicLineErr1"> 891 {{{-954.4322509765625, 827.2216796875}, {-420.24017333984375, -7.80560302734375}, {799.134765625, -971.4295654296875}, {-556.23486328125, 344.400146484375}}} 892 893 {{{58.57411390280688579, -302.8879316712078662}, {60.57411390280688579, -302.8879316712078662}}} 894 </div> 895 896 <div id="cubicLineErr2"> 897 {{{-634.60540771484375, -481.262939453125}, {266.2696533203125, 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{962.10699462890625, 1485.654052734375}}} 910 </div> 911 912 <div id="skpwww_educationalcraft_com_4b"> 913 {{{980.9000244140625, 1474.3280029296875}, {980.9000244140625, 1474.3280029296875}, {978.89300537109375, 1471.95703125}, {981.791015625, 1469.487060546875}}} 914 {{{981.791015625, 1469.487060546875}, {981.791015625, 1469.4859619140625}, {983.3580322265625, 1472.72900390625}, {980.9000244140625, 1474.3280029296875}}} 915 </div> 916 917 <div id="skpwww_aceinfographics_com_106"> 918 {{{168, 29.6722088f}, {166, 29.6773338f}}} 919 {{{166.878677f, 29.6750813f}, {167.388f, 29.6763878f}, {168.019989f, 29.6769352f}}} 920 </div> 921 922 <div id="skpwww_tcmevents_org_13"> 923 {{{465.84668f, 547.288391f}, {467.274506f, 552.852356f}, {468.506836f, 560.718567f}}} 924 {{{468.506836f, 560.718567f}, {467.336121f, 553.24585f}, {465.951904f, 547.960144f}} 925 </div> 926 927 <div id="skpwww_kitcheninspirations_wordpress_com_66"> 928 {{{60.8333359f, 27820.498f}, {47.1666679f, 27820.5f}}} 929 {{{60.8333359f, 27820.668f}, {60.8333359f, 27820.498f}}} 930 {{{47.1666679f, 27820.498f}, {60.8333359f, 27820.5f}}} 931 {{{60.8333359f, 27820.5f}, {60.8333359f, 27820.668f}}} 932 </div> 933 934 <div id="skpwww_galaxystwo_com_4"> 935 {{{10105, 2510}, {10123, 2509.98999f}}} 936 {{{10105, 2509.98999f}, {10123, 2510}}} 937 </div> 938 939 <div id="skpwww_wartepop_blogspot_com_br_6"> 940 {{{124.666672f, 152.333344f}, {125.909309f, 152.333344f}, {126.787994f, 153.309662f}}} 941 {{fX=124.66666412353516 fY=152.33334350585937 }, {fX=126.78799438476562 fY=153.30966186523437 }} } 942 {{fX=124.66666412353516 fY=152.33334350585937 }, {fX=127.02368927001953 fY=153.30966186523437 }} } 943 </div> 944 945 <div id="skpwww_wartepop_blogspot_com_br_6a"> 946 {{{124.666672f, 152.333344f}, {125.909309f, 152.333344f}, {126.787994f, 153.309662f}}} 947 {{fX=124.66667175292969 fY=152.33334350585937 }, {fX=126.78799438476562 fY=153.30966186523437 }} } 948 {{fX=124.66667175292969 fY=152.33334350585937 }, {fX=127.02368927001953 fY=153.30966186523437 }} } 949 </div> 950 951 <div id="skpcarrot_is24x"> 952 {{{1020.08099, 672.16198699999995}, {1020.08002, 630.73999000000003}, {986.50201400000003, 597.16198699999995}, {945.08099400000003, 597.16198699999995}}} 953 {{{1020, 672}, {1020, 640.93395999999996}, {998.03301999999996, 618.96698000000004}}} 954 </div> 955 956 </div> 957 958 <script type="text/javascript"> 959 960 var testDivs = [ 961 skpcarrot_is24x, 962 skpwww_wartepop_blogspot_com_br_6, 963 skpwww_wartepop_blogspot_com_br_6a, 964 skpwww_galaxystwo_com_4, 965 skpwww_kitcheninspirations_wordpress_com_66, 966 skpwww_tcmevents_org_13, 967 skpwww_aceinfographics_com_106, 968 skpwww_educationalcraft_com_4b, 969 skpwww_educationalcraft_com_4a, 970 skpwww_educationalcraft_com_4, 971 cubicLineErr2, 972 cubicLineErr1, 973 cubicLineMiss1, 974 cubicLineMiss2, 975 cubicLineMiss3, 976 cubicLineMiss4, 977 skpwww_pindosiya_com_99, 978 self1, 979 skpwww_seopack_blogspot_com_2153, 980 serp1, 981 serp2, 982 serp3, 983 loop1, 984 skpwww_maturesupertube_com_21, 985 skpwww_cityads_ru_249, 986 skpelpais_com_18, 987 testQuads60_b, 988 testQuads60_a, 989 testQuads60, 990 skpwww_dealnews_com_315_a, 991 skpwww_dealnews_com_315, 992 skpnamecheap_405, 993 slop1, 994 slop2, 995 slop3, 996 slop4, 997 slop5, 998 slop6, 999 slop7, 1000 slop8, 1001 slop9, 1002 slop10, 1003 slop11, 1004 slop12, 1005 slop13, 1006 slop14, 1007 slop15, 1008 slop16, 1009 slop17, 1010 slop18, 1011 slop19, 1012 slop20, 1013 skpcarrot_is24e, 1014 skpcarrot_is24d, 1015 skpcarrot_is24c, 1016 skpcarrot_is24b, 1017 skpcarrot_is24a, 1018 skpcarrot_is24, 1019 testQuads59, 1020 testQuads45, 1021 testQuads54, 1022 findFirst1, 1023 cubicOp59d, 1024 testQuads22, 1025 cubicOp85d, 1026 cubicOp104, 1027 skpnational_com_au81, 1028 cubicOp35d, 1029 testQuad23, 1030 testQuad22, 1031 testQuad21, 1032 testQuad15, 1033 testQuadratic56, 1034 xop1i, 1035 xOp2i, 1036 xop1u, 1037 skpwww_joomla_org_23, 1038 cubicOp109, 1039 cubicOp106, 1040 cubicOp105, 1041 carpetplanet1, 1042 eldorado1, 1043 cubicOp25i, 1044 cubicOp7d, 1045 simplifyQuadratic27, 1046 simplifyQuadratic56a, 1047 simplifyQuadratic56, 1048 quadratic58again, 1049 simplifyQuadratic58a, 1050 simplifyQuadratic58, 1051 simplifyQuadratic36, 1052 quad89987, 1053 quad8741, 1054 quad8b, 1055 quad8a, 1056 quad208, 1057 quad67242, 1058 quad37226, 1059 quad35237, 1060 quad108, 1061 quad212, 1062 quad3160, 1063 quad640, 1064 quad206, 1065 quad136, 1066 quad113, 1067 quad999, 1068 quad0, 1069 quad179, 1070 quad4a, 1071 quad94, 1072 quad77, 1073 quad22a, 1074 quad14a, 1075 quad809, 1076 quad653, 1077 quad584, 1078 quad413, 1079 quad379, 1080 quad159, 1081 quad232, 1082 quad40, 1083 quad39, 1084 quad38, 1085 quad37, 1086 quad36, 1087 quad35, 1088 quad34, 1089 quad33, 1090 quad32, 1091 quad31, 1092 quad30, 1093 quad29, 1094 quad28, 1095 quad27, 1096 quad26, 1097 quad25, 1098 quad24, 1099 quad23, 1100 quad22, 1101 quad21, 1102 quad20, 1103 quad19, 1104 quad18, 1105 quad17, 1106 quad16, 1107 quad15, 1108 quad14, 1109 quad13, 1110 quad12, 1111 quad11, 1112 cubic2, 1113 cubic1, 1114 quad1, 1115 quad2, 1116 quad3, 1117 quad4, 1118 quad5, 1119 quad6, 1120 quad7, 1121 quad8, 1122 quad9, 1123 quad10, 1124 ]; 1125 1126 var tests = []; 1127 var testTitles = []; 1128 var testIndex = 0; 1129 var ctx; 1130 var subscale = 1; 1131 var xmin, xmax, ymin, ymax; 1132 var scale; 1133 var initScale; 1134 var mouseX, mouseY; 1135 var mouseDown = false; 1136 var srcLeft, srcTop; 1137 var screenWidth, screenHeight; 1138 var drawnPts; 1139 var curveT = 0; 1140 1141 var lastX, lastY; 1142 var activeCurve = []; 1143 var activePt; 1144 1145 var decimal_places = 3; 1146 1147 var draw_t = false; 1148 var draw_closest_t = false; 1149 var draw_derivative = false; 1150 var draw_endpoints = true; 1151 var draw_midpoint = 0; 1152 var draw_mouse_xy = false; 1153 var draw_order = false; 1154 var draw_point_xy = false; 1155 var draw_ray_intersect = false; 1156 var draw_quarterpoint = 0; 1157 var draw_tangents = 1; 1158 var draw_sortpoint = 0; 1159 var retina_scale = !!window.devicePixelRatio; 1160 1161 function parse(test, title) { 1162 var curveStrs = test.split("{{"); 1163 var pattern = /-?\d+\.*\d*e?-?\d*/g; 1164 var curves = []; 1165 for (var c in curveStrs) { 1166 var curveStr = curveStrs[c]; 1167 var points = curveStr.match(pattern); 1168 var pts = []; 1169 for (var wd in points) { 1170 var num = parseFloat(points[wd]); 1171 if (isNaN(num)) continue; 1172 pts.push(num); 1173 } 1174 if (pts.length > 2) 1175 curves.push(pts); 1176 } 1177 if (curves.length >= 1) { 1178 tests.push(curves); 1179 testTitles.push(title); 1180 } 1181 } 1182 1183 function init(test) { 1184 var canvas = document.getElementById('canvas'); 1185 if (!canvas.getContext) return; 1186 ctx = canvas.getContext('2d'); 1187 var resScale = retina_scale && window.devicePixelRatio ? window.devicePixelRatio : 1; 1188 var unscaledWidth = window.innerWidth - 20; 1189 var unscaledHeight = window.innerHeight - 20; 1190 screenWidth = unscaledWidth; 1191 screenHeight = unscaledHeight; 1192 canvas.width = unscaledWidth * resScale; 1193 canvas.height = unscaledHeight * resScale; 1194 canvas.style.width = unscaledWidth + 'px'; 1195 canvas.style.height = unscaledHeight + 'px'; 1196 if (resScale != 1) { 1197 ctx.scale(resScale, resScale); 1198 } 1199 xmin = Infinity; 1200 xmax = -Infinity; 1201 ymin = Infinity; 1202 ymax = -Infinity; 1203 for (var curves in test) { 1204 var curve = test[curves]; 1205 var last = curve.length; 1206 for (var idx = 0; idx < last; idx += 2) { 1207 xmin = Math.min(xmin, curve[idx]); 1208 xmax = Math.max(xmax, curve[idx]); 1209 ymin = Math.min(ymin, curve[idx + 1]); 1210 ymax = Math.max(ymax, curve[idx + 1]); 1211 } 1212 } 1213 xmin -= 1; 1214 var testW = xmax - xmin; 1215 var testH = ymax - ymin; 1216 subscale = 1; 1217 while (testW * subscale < 0.1 && testH * subscale < 0.1) { 1218 subscale *= 10; 1219 } 1220 while (testW * subscale > 10 && testH * subscale > 10) { 1221 subscale /= 10; 1222 } 1223 setScale(xmin, xmax, ymin, ymax); 1224 mouseX = (screenWidth / 2) / scale + srcLeft; 1225 mouseY = (screenHeight / 2) / scale + srcTop; 1226 initScale = scale; 1227 } 1228 1229 function setScale(x0, x1, y0, y1) { 1230 var srcWidth = x1 - x0; 1231 var srcHeight = y1 - y0; 1232 var usableWidth = screenWidth; 1233 var xDigits = Math.ceil(Math.log(Math.abs(xmax)) / Math.log(10)); 1234 var yDigits = Math.ceil(Math.log(Math.abs(ymax)) / Math.log(10)); 1235 usableWidth -= (xDigits + yDigits) * 10; 1236 usableWidth -= decimal_places * 10; 1237 var hscale = usableWidth / srcWidth; 1238 var vscale = screenHeight / srcHeight; 1239 scale = Math.min(hscale, vscale); 1240 var invScale = 1 / scale; 1241 var sxmin = x0 - invScale * 5; 1242 var symin = y0 - invScale * 10; 1243 var sxmax = x1 + invScale * (6 * decimal_places + 10); 1244 var symax = y1 + invScale * 10; 1245 srcWidth = sxmax - sxmin; 1246 srcHeight = symax - symin; 1247 hscale = usableWidth / srcWidth; 1248 vscale = screenHeight / srcHeight; 1249 scale = Math.min(hscale, vscale); 1250 srcLeft = sxmin; 1251 srcTop = symin; 1252 } 1253 1254 function dxy_at_t(curve, t) { 1255 var dxy = {}; 1256 if (curve.length == 6) { 1257 var a = t - 1; 1258 var b = 1 - 2 * t; 1259 var c = t; 1260 dxy.x = a * curve[0] + b * curve[2] + c * curve[4]; 1261 dxy.y = a * curve[1] + b * curve[3] + c * curve[5]; 1262 } else if (curve.length == 8) { 1263 var one_t = 1 - t; 1264 var a = curve[0]; 1265 var b = curve[2]; 1266 var c = curve[4]; 1267 var d = curve[6]; 1268 dxy.x = 3 * ((b - a) * one_t * one_t + 2 * (c - b) * t * one_t + (d - c) * t * t); 1269 a = curve[1]; 1270 b = curve[3]; 1271 c = curve[5]; 1272 d = curve[7]; 1273 dxy.y = 3 * ((b - a) * one_t * one_t + 2 * (c - b) * t * one_t + (d - c) * t * t); 1274 } 1275 return dxy; 1276 } 1277 1278 var flt_epsilon = 1.19209290E-07; 1279 1280 function approximately_zero(A) { 1281 return Math.abs(A) < flt_epsilon; 1282 } 1283 1284 function approximately_zero_inverse(A) { 1285 return Math.abs(A) > (1 / flt_epsilon); 1286 } 1287 1288 function quad_real_roots(A, B, C) { 1289 var s = []; 1290 var p = B / (2 * A); 1291 var q = C / A; 1292 if (approximately_zero(A) && (approximately_zero_inverse(p) 1293 || approximately_zero_inverse(q))) { 1294 if (approximately_zero(B)) { 1295 if (C == 0) { 1296 s[0] = 0; 1297 } 1298 return s; 1299 } 1300 s[0] = -C / B; 1301 return s; 1302 } 1303 /* normal form: x^2 + px + q = 0 */ 1304 var p2 = p * p; 1305 if (!approximately_zero(p2 - q) && p2 < q) { 1306 return s; 1307 } 1308 var sqrt_D = 0; 1309 if (p2 > q) { 1310 sqrt_D = Math.sqrt(p2 - q); 1311 } 1312 s[0] = sqrt_D - p; 1313 var flip = -sqrt_D - p; 1314 if (!approximately_zero(s[0] - flip)) { 1315 s[1] = flip; 1316 } 1317 return s; 1318 } 1319 1320 function cubic_real_roots(A, B, C, D) { 1321 if (approximately_zero(A)) { // we're just a quadratic 1322 return quad_real_roots(B, C, D); 1323 } 1324 if (approximately_zero(D)) { // 0 is one root 1325 var s = quad_real_roots(A, B, C); 1326 for (var i = 0; i < s.length; ++i) { 1327 if (approximately_zero(s[i])) { 1328 return s; 1329 } 1330 } 1331 s.push(0); 1332 return s; 1333 } 1334 if (approximately_zero(A + B + C + D)) { // 1 is one root 1335 var s = quad_real_roots(A, A + B, -D); 1336 for (var i = 0; i < s.length; ++i) { 1337 if (approximately_zero(s[i] - 1)) { 1338 return s; 1339 } 1340 } 1341 s.push(1); 1342 return s; 1343 } 1344 var a, b, c; 1345 var invA = 1 / A; 1346 a = B * invA; 1347 b = C * invA; 1348 c = D * invA; 1349 var a2 = a * a; 1350 var Q = (a2 - b * 3) / 9; 1351 var R = (2 * a2 * a - 9 * a * b + 27 * c) / 54; 1352 var R2 = R * R; 1353 var Q3 = Q * Q * Q; 1354 var R2MinusQ3 = R2 - Q3; 1355 var adiv3 = a / 3; 1356 var r; 1357 var roots = []; 1358 if (R2MinusQ3 < 0) { // we have 3 real roots 1359 var theta = Math.acos(R / Math.sqrt(Q3)); 1360 var neg2RootQ = -2 * Math.sqrt(Q); 1361 r = neg2RootQ * Math.cos(theta / 3) - adiv3; 1362 roots.push(r); 1363 r = neg2RootQ * Math.cos((theta + 2 * Math.PI) / 3) - adiv3; 1364 if (!approximately_zero(roots[0] - r)) { 1365 roots.push(r); 1366 } 1367 r = neg2RootQ * Math.cos((theta - 2 * Math.PI) / 3) - adiv3; 1368 if (!approximately_zero(roots[0] - r) && (roots.length == 1 1369 || !approximately_zero(roots[1] - r))) { 1370 roots.push(r); 1371 } 1372 } else { // we have 1 real root 1373 var sqrtR2MinusQ3 = Math.sqrt(R2MinusQ3); 1374 var A = Math.abs(R) + sqrtR2MinusQ3; 1375 A = Math.pow(A, 1/3); 1376 if (R > 0) { 1377 A = -A; 1378 } 1379 if (A != 0) { 1380 A += Q / A; 1381 } 1382 r = A - adiv3; 1383 roots.push(r); 1384 if (approximately_zero(R2 - Q3)) { 1385 r = -A / 2 - adiv3; 1386 if (!approximately_zero(s[0] - r)) { 1387 roots.push(r); 1388 } 1389 } 1390 } 1391 return roots; 1392 } 1393 1394 function approximately_zero_or_more(tValue) { 1395 return tValue >= -flt_epsilon; 1396 } 1397 1398 function approximately_one_or_less(tValue) { 1399 return tValue <= 1 + flt_epsilon; 1400 } 1401 1402 function approximately_less_than_zero(tValue) { 1403 return tValue < flt_epsilon; 1404 } 1405 1406 function approximately_greater_than_one(tValue) { 1407 return tValue > 1 - flt_epsilon; 1408 } 1409 1410 function add_valid_ts(s) { 1411 var t = []; 1412 nextRoot: 1413 for (var index = 0; index < s.length; ++index) { 1414 var tValue = s[index]; 1415 if (approximately_zero_or_more(tValue) && approximately_one_or_less(tValue)) { 1416 if (approximately_less_than_zero(tValue)) { 1417 tValue = 0; 1418 } else if (approximately_greater_than_one(tValue)) { 1419 tValue = 1; 1420 } 1421 for (var idx2 = 0; idx2 < t.length; ++idx2) { 1422 if (approximately_zero(t[idx2] - tValue)) { 1423 continue nextRoot; 1424 } 1425 } 1426 t.push(tValue); 1427 } 1428 } 1429 return t; 1430 } 1431 1432 function quad_roots(A, B, C) { 1433 var s = quad_real_roots(A, B, C); 1434 var foundRoots = add_valid_ts(s); 1435 return foundRoots; 1436 } 1437 1438 function cubic_roots(A, B, C, D) { 1439 var s = cubic_real_roots(A, B, C, D); 1440 var foundRoots = add_valid_ts(s); 1441 return foundRoots; 1442 } 1443 1444 function ray_curve_intersect(startPt, endPt, curve) { 1445 var adj = endPt[0] - startPt[0]; 1446 var opp = endPt[1] - startPt[1]; 1447 var r = []; 1448 for (var n = 0; n < curve.length / 2; ++n) { 1449 r[n] = (curve[n * 2 + 1] - startPt[1]) * adj - (curve[n * 2] - startPt[0]) * opp; 1450 } 1451 if (curve.length == 6) { 1452 var A = r[2]; 1453 var B = r[1]; 1454 var C = r[0]; 1455 A += C - 2 * B; // A = a - 2*b + c 1456 B -= C; // B = -(b - c) 1457 return quad_roots(A, 2 * B, C); 1458 } 1459 var A = r[3]; // d 1460 var B = r[2] * 3; // 3*c 1461 var C = r[1] * 3; // 3*b 1462 var D = r[0]; // a 1463 A -= D - C + B; // A = -a + 3*b - 3*c + d 1464 B += 3 * D - 2 * C; // B = 3*a - 6*b + 3*c 1465 C -= 3 * D; // C = -3*a + 3*b 1466 return cubic_roots(A, B, C, D); 1467 } 1468 1469 function x_at_t(curve, t) { 1470 var one_t = 1 - t; 1471 if (curve.length == 4) { 1472 return one_t * curve[0] + t * curve[2]; 1473 } 1474 var one_t2 = one_t * one_t; 1475 var t2 = t * t; 1476 if (curve.length == 6) { 1477 return one_t2 * curve[0] + 2 * one_t * t * curve[2] + t2 * curve[4]; 1478 } 1479 var a = one_t2 * one_t; 1480 var b = 3 * one_t2 * t; 1481 var c = 3 * one_t * t2; 1482 var d = t2 * t; 1483 return a * curve[0] + b * curve[2] + c * curve[4] + d * curve[6]; 1484 } 1485 1486 function y_at_t(curve, t) { 1487 var one_t = 1 - t; 1488 if (curve.length == 4) { 1489 return one_t * curve[1] + t * curve[3]; 1490 } 1491 var one_t2 = one_t * one_t; 1492 var t2 = t * t; 1493 if (curve.length == 6) { 1494 return one_t2 * curve[1] + 2 * one_t * t * curve[3] + t2 * curve[5]; 1495 } 1496 var a = one_t2 * one_t; 1497 var b = 3 * one_t2 * t; 1498 var c = 3 * one_t * t2; 1499 var d = t2 * t; 1500 return a * curve[1] + b * curve[3] + c * curve[5] + d * curve[7]; 1501 } 1502 1503 function drawPointAtT(curve) { 1504 var x = x_at_t(curve, curveT); 1505 var y = y_at_t(curve, curveT); 1506 drawPoint(x, y); 1507 } 1508 1509 function drawLine(x1, y1, x2, y2) { 1510 ctx.beginPath(); 1511 ctx.moveTo((x1 - srcLeft) * scale, 1512 (y1 - srcTop) * scale); 1513 ctx.lineTo((x2 - srcLeft) * scale, 1514 (y2 - srcTop) * scale); 1515 ctx.stroke(); 1516 } 1517 1518 function drawPoint(px, py) { 1519 for (var pts = 0; pts < drawnPts.length; pts += 2) { 1520 var x = drawnPts[pts]; 1521 var y = drawnPts[pts + 1]; 1522 if (px == x && py == y) { 1523 return; 1524 } 1525 } 1526 drawnPts.push(px); 1527 drawnPts.push(py); 1528 var _px = (px - srcLeft) * scale; 1529 var _py = (py - srcTop) * scale; 1530 ctx.beginPath(); 1531 ctx.arc(_px, _py, 3, 0, Math.PI * 2, true); 1532 ctx.closePath(); 1533 ctx.stroke(); 1534 if (draw_point_xy) { 1535 var label = px.toFixed(decimal_places) + ", " + py.toFixed(decimal_places); 1536 ctx.font = "normal 10px Arial"; 1537 ctx.textAlign = "left"; 1538 ctx.fillStyle = "black"; 1539 ctx.fillText(label, _px + 5, _py); 1540 } 1541 } 1542 1543 function drawPointSolid(px, py) { 1544 drawPoint(px, py); 1545 ctx.fillStyle = "rgba(0,0,0, 0.4)"; 1546 ctx.fill(); 1547 } 1548 1549 function crossPt(origin, pt1, pt2) { 1550 return ((pt1[0] - origin[0]) * (pt2[1] - origin[1]) 1551 - (pt1[1] - origin[1]) * (pt2[0] - origin[0])) > 0 ? 0 : 1; 1552 } 1553 1554 // may not work well for cubics 1555 function curveClosestT(curve, x, y) { 1556 var closest = -1; 1557 var closestDist = Infinity; 1558 var l = Infinity, t = Infinity, r = -Infinity, b = -Infinity; 1559 for (var i = 0; i < 16; ++i) { 1560 var testX = x_at_t(curve, i / 16); 1561 l = Math.min(testX, l); 1562 r = Math.max(testX, r); 1563 var testY = y_at_t(curve, i / 16); 1564 t = Math.min(testY, t); 1565 b = Math.max(testY, b); 1566 var dx = testX - x; 1567 var dy = testY - y; 1568 var dist = dx * dx + dy * dy; 1569 if (closestDist > dist) { 1570 closestDist = dist; 1571 closest = i; 1572 } 1573 } 1574 var boundsX = r - l; 1575 var boundsY = b - t; 1576 var boundsDist = boundsX * boundsX + boundsY * boundsY; 1577 if (closestDist > boundsDist) { 1578 return -1; 1579 } 1580 console.log("closestDist = " + closestDist + " boundsDist = " + boundsDist 1581 + " t = " + closest / 16); 1582 return closest / 16; 1583 } 1584 1585 function draw(test, title) { 1586 ctx.font = "normal 50px Arial"; 1587 ctx.textAlign = "left"; 1588 ctx.fillStyle = "rgba(0,0,0, 0.1)"; 1589 ctx.fillText(title, 50, 50); 1590 ctx.font = "normal 10px Arial"; 1591 // ctx.lineWidth = "1.001"; "0.999"; 1592 var hullStarts = []; 1593 var hullEnds = []; 1594 var midSpokes = []; 1595 var midDist = []; 1596 var origin = []; 1597 var shortSpokes = []; 1598 var shortDist = []; 1599 var sweeps = []; 1600 drawnPts = []; 1601 for (var curves in test) { 1602 var curve = test[curves]; 1603 origin.push(curve[0]); 1604 origin.push(curve[1]); 1605 var startPt = []; 1606 startPt.push(curve[2]); 1607 startPt.push(curve[3]); 1608 hullStarts.push(startPt); 1609 var endPt = []; 1610 if (curve.length == 4) { 1611 endPt.push(curve[2]); 1612 endPt.push(curve[3]); 1613 } else if (curve.length == 6) { 1614 endPt.push(curve[4]); 1615 endPt.push(curve[5]); 1616 } else if (curve.length == 8) { 1617 endPt.push(curve[6]); 1618 endPt.push(curve[7]); 1619 } 1620 hullEnds.push(endPt); 1621 var sweep = crossPt(origin, startPt, endPt); 1622 sweeps.push(sweep); 1623 var midPt = []; 1624 midPt.push(x_at_t(curve, 0.5)); 1625 midPt.push(y_at_t(curve, 0.5)); 1626 midSpokes.push(midPt); 1627 var shortPt = []; 1628 shortPt.push(x_at_t(curve, 0.25)); 1629 shortPt.push(y_at_t(curve, 0.25)); 1630 shortSpokes.push(shortPt); 1631 var dx = midPt[0] - origin[0]; 1632 var dy = midPt[1] - origin[1]; 1633 var dist = Math.sqrt(dx * dx + dy * dy); 1634 midDist.push(dist); 1635 dx = shortPt[0] - origin[0]; 1636 dy = shortPt[1] - origin[1]; 1637 dist = Math.sqrt(dx * dx + dy * dy); 1638 shortDist.push(dist); 1639 } 1640 var intersect = []; 1641 var useIntersect = false; 1642 var maxWidth = Math.max(xmax - xmin, ymax - ymin); 1643 for (var curves in test) { 1644 var curve = test[curves]; 1645 if (curve.length == 6 || curve.length == 8) { 1646 var opp = curves == 0 || curves == 1 ? 0 : 1; 1647 var sects = ray_curve_intersect(origin, hullEnds[opp], curve); 1648 intersect.push(sects); 1649 if (sects.length > 1) { 1650 var intersection = sects[0]; 1651 if (intersection == 0) { 1652 intersection = sects[1]; 1653 } 1654 var ix = x_at_t(curve, intersection) - origin[0]; 1655 var iy = y_at_t(curve, intersection) - origin[1]; 1656 var ex = hullEnds[opp][0] - origin[0]; 1657 var ey = hullEnds[opp][1] - origin[1]; 1658 if (ix * ex >= 0 && iy * ey >= 0) { 1659 var iDist = Math.sqrt(ix * ix + iy * iy); 1660 var eDist = Math.sqrt(ex * ex + ey * ey); 1661 var delta = Math.abs(iDist - eDist) / maxWidth; 1662 if (delta > (curve.length == 6 ? 1e-5 : 1e-4)) { 1663 useIntersect ^= true; 1664 } 1665 } 1666 } 1667 } 1668 } 1669 var midLeft = curves != 0 ? crossPt(origin, midSpokes[0], midSpokes[1]) : 0; 1670 var firstInside; 1671 if (useIntersect) { 1672 var sect1 = intersect[0].length > 1; 1673 var sIndex = sect1 ? 0 : 1; 1674 var sects = intersect[sIndex]; 1675 var intersection = sects[0]; 1676 if (intersection == 0) { 1677 intersection = sects[1]; 1678 } 1679 var curve = test[sIndex]; 1680 var ix = x_at_t(curve, intersection) - origin[0]; 1681 var iy = y_at_t(curve, intersection) - origin[1]; 1682 var opp = sect1 ? 1 : 0; 1683 var ex = hullEnds[opp][0] - origin[0]; 1684 var ey = hullEnds[opp][1] - origin[1]; 1685 var iDist = ix * ix + iy * iy; 1686 var eDist = ex * ex + ey * ey; 1687 firstInside = (iDist > eDist) ^ (sIndex == 0) ^ sweeps[0]; 1688 // console.log("iDist=" + iDist + " eDist=" + eDist + " sIndex=" + sIndex 1689 // + " sweeps[0]=" + sweeps[0]); 1690 } else { 1691 // console.log("midLeft=" + midLeft); 1692 firstInside = midLeft != 0; 1693 } 1694 var shorter = midDist[1] < midDist[0]; 1695 var shortLeft = shorter ? crossPt(origin, shortSpokes[0], midSpokes[1]) 1696 : crossPt(origin, midSpokes[0], shortSpokes[1]); 1697 var startCross = crossPt(origin, hullStarts[0], hullStarts[1]); 1698 var disallowShort = midLeft == startCross && midLeft == sweeps[0] 1699 && midLeft == sweeps[1]; 1700 1701 // console.log("midLeft=" + midLeft + " startCross=" + startCross); 1702 var intersectIndex = 0; 1703 for (var curves in test) { 1704 var curve = test[curves]; 1705 if (curve.length != 4 && curve.length != 6 && curve.length != 8) { 1706 continue; 1707 } 1708 ctx.lineWidth = 1; 1709 if (draw_tangents != 0) { 1710 if (firstInside == curves) { 1711 ctx.strokeStyle = "rgba(255,0,0, 0.3)"; 1712 } else { 1713 ctx.strokeStyle = "rgba(0,0,255, 0.3)"; 1714 } 1715 drawLine(curve[0], curve[1], curve[2], curve[3]); 1716 if (draw_tangents != 2) { 1717 if (curve.length > 4) drawLine(curve[2], curve[3], curve[4], curve[5]); 1718 if (curve.length > 6) drawLine(curve[4], curve[5], curve[6], curve[7]); 1719 } 1720 if (draw_tangents != 1) { 1721 if (curve.length == 6) drawLine(curve[0], curve[1], curve[4], curve[5]); 1722 if (curve.length == 8) drawLine(curve[0], curve[1], curve[6], curve[7]); 1723 } 1724 } 1725 ctx.beginPath(); 1726 ctx.moveTo((curve[0] - srcLeft) * scale, (curve[1] - srcTop) * scale); 1727 if (curve.length == 4) { 1728 ctx.lineTo((curve[2] - srcLeft) * scale, (curve[3] - srcTop) * scale); 1729 } else if (curve.length == 6) { 1730 ctx.quadraticCurveTo( 1731 (curve[2] - srcLeft) * scale, (curve[3] - srcTop) * scale, 1732 (curve[4] - srcLeft) * scale, (curve[5] - srcTop) * scale); 1733 } else { 1734 ctx.bezierCurveTo( 1735 (curve[2] - srcLeft) * scale, (curve[3] - srcTop) * scale, 1736 (curve[4] - srcLeft) * scale, (curve[5] - srcTop) * scale, 1737 (curve[6] - srcLeft) * scale, (curve[7] - srcTop) * scale); 1738 } 1739 if (firstInside == curves) { 1740 ctx.strokeStyle = "rgba(255,0,0, 1)"; 1741 } else { 1742 ctx.strokeStyle = "rgba(0,0,255, 1)"; 1743 } 1744 ctx.stroke(); 1745 if (draw_endpoints) { 1746 drawPoint(curve[0], curve[1]); 1747 drawPoint(curve[2], curve[3]); 1748 if (curve.length > 4) drawPoint(curve[4], curve[5]); 1749 if (curve.length > 6) drawPoint(curve[6], curve[7]); 1750 } 1751 if (draw_midpoint != 0) { 1752 if ((curves == 0) == (midLeft == 0)) { 1753 ctx.strokeStyle = "rgba(0,180,127, 0.6)"; 1754 } else { 1755 ctx.strokeStyle = "rgba(127,0,127, 0.6)"; 1756 } 1757 var midX = x_at_t(curve, 0.5); 1758 var midY = y_at_t(curve, 0.5); 1759 drawPointSolid(midX, midY); 1760 if (draw_midpoint > 1) { 1761 drawLine(curve[0], curve[1], midX, midY); 1762 } 1763 } 1764 if (draw_quarterpoint != 0) { 1765 if ((curves == 0) == (shortLeft == 0)) { 1766 ctx.strokeStyle = "rgba(0,191,63, 0.6)"; 1767 } else { 1768 ctx.strokeStyle = "rgba(63,0,191, 0.6)"; 1769 } 1770 var midT = (curves == 0) == shorter ? 0.25 : 0.5; 1771 var midX = x_at_t(curve, midT); 1772 var midY = y_at_t(curve, midT); 1773 drawPointSolid(midX, midY); 1774 if (draw_quarterpoint > 1) { 1775 drawLine(curve[0], curve[1], midX, midY); 1776 } 1777 } 1778 if (draw_sortpoint != 0) { 1779 if ((curves == 0) == ((disallowShort == -1 ? midLeft : shortLeft) == 0)) { 1780 ctx.strokeStyle = "rgba(0,155,37, 0.6)"; 1781 } else { 1782 ctx.strokeStyle = "rgba(37,0,155, 0.6)"; 1783 } 1784 var midT = (curves == 0) == shorter && disallowShort != curves ? 0.25 : 0.5; 1785 console.log("curves=" + curves + " disallowShort=" + disallowShort 1786 + " midLeft=" + midLeft + " shortLeft=" + shortLeft 1787 + " shorter=" + shorter + " midT=" + midT); 1788 var midX = x_at_t(curve, midT); 1789 var midY = y_at_t(curve, midT); 1790 drawPointSolid(midX, midY); 1791 if (draw_sortpoint > 1) { 1792 drawLine(curve[0], curve[1], midX, midY); 1793 } 1794 } 1795 if (draw_ray_intersect != 0) { 1796 ctx.strokeStyle = "rgba(75,45,199, 0.6)"; 1797 if (curve.length == 6 || curve.length == 8) { 1798 var intersections = intersect[intersectIndex]; 1799 for (var i in intersections) { 1800 var intersection = intersections[i]; 1801 var x = x_at_t(curve, intersection); 1802 var y = y_at_t(curve, intersection); 1803 drawPointSolid(x, y); 1804 if (draw_ray_intersect > 1) { 1805 drawLine(curve[0], curve[1], x, y); 1806 } 1807 } 1808 } 1809 ++intersectIndex; 1810 } 1811 if (draw_order) { 1812 var px = x_at_t(curve, 0.75); 1813 var py = y_at_t(curve, 0.75); 1814 var _px = (px - srcLeft) * scale; 1815 var _py = (py - srcTop) * scale; 1816 ctx.beginPath(); 1817 ctx.arc(_px, _py, 15, 0, Math.PI * 2, true); 1818 ctx.closePath(); 1819 ctx.fillStyle = "white"; 1820 ctx.fill(); 1821 if (firstInside == curves) { 1822 ctx.strokeStyle = "rgba(255,0,0, 1)"; 1823 ctx.fillStyle = "rgba(255,0,0, 1)"; 1824 } else { 1825 ctx.strokeStyle = "rgba(0,0,255, 1)"; 1826 ctx.fillStyle = "rgba(0,0,255, 1)"; 1827 } 1828 ctx.stroke(); 1829 ctx.font = "normal 16px Arial"; 1830 ctx.textAlign = "center"; 1831 ctx.fillText(parseInt(curves) + 1, _px, _py + 5); 1832 } 1833 if (draw_closest_t) { 1834 var t = curveClosestT(curve, mouseX, mouseY); 1835 if (t >= 0) { 1836 var x = x_at_t(curve, t); 1837 var y = y_at_t(curve, t); 1838 drawPointSolid(x, y); 1839 } 1840 } 1841 if (!approximately_zero(scale - initScale)) { 1842 ctx.font = "normal 20px Arial"; 1843 ctx.fillStyle = "rgba(0,0,0, 0.3)"; 1844 ctx.textAlign = "right"; 1845 ctx.fillText(scale.toFixed(decimal_places) + 'x', 1846 screenWidth - 10, screenHeight - 5); 1847 } 1848 if (draw_t) { 1849 drawPointAtT(curve); 1850 } 1851 } 1852 if (draw_t) { 1853 drawCurveTControl(); 1854 } 1855 } 1856 1857 function drawCurveTControl() { 1858 ctx.lineWidth = 2; 1859 ctx.strokeStyle = "rgba(0,0,0, 0.3)"; 1860 ctx.beginPath(); 1861 ctx.rect(screenWidth - 80, 40, 28, screenHeight - 80); 1862 ctx.stroke(); 1863 var ty = 40 + curveT * (screenHeight - 80); 1864 ctx.beginPath(); 1865 ctx.moveTo(screenWidth - 80, ty); 1866 ctx.lineTo(screenWidth - 85, ty - 5); 1867 ctx.lineTo(screenWidth - 85, ty + 5); 1868 ctx.lineTo(screenWidth - 80, ty); 1869 ctx.fillStyle = "rgba(0,0,0, 0.6)"; 1870 ctx.fill(); 1871 var num = curveT.toFixed(decimal_places); 1872 ctx.font = "normal 10px Arial"; 1873 ctx.textAlign = "left"; 1874 ctx.fillText(num, screenWidth - 78, ty); 1875 } 1876 1877 function ptInTControl() { 1878 var e = window.event; 1879 var tgt = e.target || e.srcElement; 1880 var left = tgt.offsetLeft; 1881 var top = tgt.offsetTop; 1882 var x = (e.clientX - left); 1883 var y = (e.clientY - top); 1884 if (x < screenWidth - 80 || x > screenWidth - 50) { 1885 return false; 1886 } 1887 if (y < 40 || y > screenHeight - 80) { 1888 return false; 1889 } 1890 curveT = (y - 40) / (screenHeight - 120); 1891 if (curveT < 0 || curveT > 1) { 1892 throw "stop execution"; 1893 } 1894 return true; 1895 } 1896 1897 function drawTop() { 1898 init(tests[testIndex]); 1899 redraw(); 1900 } 1901 1902 function redraw() { 1903 ctx.beginPath(); 1904 ctx.rect(0, 0, ctx.canvas.width, ctx.canvas.height); 1905 ctx.fillStyle = "white"; 1906 ctx.fill(); 1907 draw(tests[testIndex], testTitles[testIndex]); 1908 } 1909 1910 function doKeyPress(evt) { 1911 var char = String.fromCharCode(evt.charCode); 1912 switch (char) { 1913 case '0': 1914 case '1': 1915 case '2': 1916 case '3': 1917 case '4': 1918 case '5': 1919 case '6': 1920 case '7': 1921 case '8': 1922 case '9': 1923 decimal_places = char - '0'; 1924 redraw(); 1925 break; 1926 case '-': 1927 scale /= 2; 1928 calcLeftTop(); 1929 redraw(); 1930 break; 1931 case '=': 1932 case '+': 1933 scale *= 2; 1934 calcLeftTop(); 1935 redraw(); 1936 break; 1937 case 'c': 1938 drawTop(); 1939 break; 1940 case 'd': 1941 var test = tests[testIndex]; 1942 var testClone = []; 1943 for (var curves in test) { 1944 var c = test[curves]; 1945 var cClone = []; 1946 for (var index = 0; index < c.length; ++index) { 1947 cClone.push(c[index]); 1948 } 1949 testClone.push(cClone); 1950 } 1951 tests.push(testClone); 1952 testTitles.push(testTitles[testIndex] + " copy"); 1953 testIndex = tests.length - 1; 1954 redraw(); 1955 break; 1956 case 'e': 1957 draw_endpoints ^= true; 1958 redraw(); 1959 break; 1960 case 'f': 1961 draw_derivative ^= true; 1962 redraw(); 1963 break; 1964 case 'i': 1965 draw_ray_intersect = (draw_ray_intersect + 1) % 3; 1966 redraw(); 1967 break; 1968 case 'l': 1969 var test = tests[testIndex]; 1970 console.log("<div id=\"" + testTitles[testIndex] + "\" >"); 1971 for (var curves in test) { 1972 var c = test[curves]; 1973 var s = "{{"; 1974 for (var i = 0; i < c.length; i += 2) { 1975 s += "{"; 1976 s += c[i] + "," + c[i + 1]; 1977 s += "}"; 1978 if (i + 2 < c.length) { 1979 s += ", "; 1980 } 1981 } 1982 console.log(s + "}},"); 1983 } 1984 console.log("</div>"); 1985 break; 1986 case 'm': 1987 draw_midpoint = (draw_midpoint + 1) % 3; 1988 redraw(); 1989 break; 1990 case 'N': 1991 testIndex += 9; 1992 case 'n': 1993 testIndex = (testIndex + 1) % tests.length; 1994 drawTop(); 1995 break; 1996 case 'o': 1997 draw_order ^= true; 1998 redraw(); 1999 break; 2000 case 'P': 2001 testIndex -= 9; 2002 case 'p': 2003 if (--testIndex < 0) 2004 testIndex = tests.length - 1; 2005 drawTop(); 2006 break; 2007 case 'q': 2008 draw_quarterpoint = (draw_quarterpoint + 1) % 3; 2009 redraw(); 2010 break; 2011 case 'r': 2012 for (var i = 0; i < testDivs.length; ++i) { 2013 var title = testDivs[i].id.toString(); 2014 if (title == testTitles[testIndex]) { 2015 var str = testDivs[i].firstChild.data; 2016 parse(str, title); 2017 var original = tests.pop(); 2018 testTitles.pop(); 2019 tests[testIndex] = original; 2020 break; 2021 } 2022 } 2023 redraw(); 2024 break; 2025 case 's': 2026 draw_sortpoint = (draw_sortpoint + 1) % 3; 2027 redraw(); 2028 break; 2029 case 't': 2030 draw_t ^= true; 2031 redraw(); 2032 break; 2033 case 'u': 2034 draw_closest_t ^= true; 2035 redraw(); 2036 break; 2037 case 'v': 2038 draw_tangents = (draw_tangents + 1) % 4; 2039 redraw(); 2040 break; 2041 case 'x': 2042 draw_point_xy ^= true; 2043 redraw(); 2044 break; 2045 case 'y': 2046 draw_mouse_xy ^= true; 2047 redraw(); 2048 break; 2049 case '\\': 2050 retina_scale ^= true; 2051 drawTop(); 2052 break; 2053 } 2054 } 2055 2056 function doKeyDown(evt) { 2057 var char = evt.keyCode; 2058 var preventDefault = false; 2059 switch (char) { 2060 case 37: // left arrow 2061 if (evt.shiftKey) { 2062 testIndex -= 9; 2063 } 2064 if (--testIndex < 0) 2065 testIndex = tests.length - 1; 2066 drawTop(); 2067 preventDefault = true; 2068 break; 2069 case 39: // right arrow 2070 if (evt.shiftKey) { 2071 testIndex += 9; 2072 } 2073 if (++testIndex >= tests.length) 2074 testIndex = 0; 2075 drawTop(); 2076 preventDefault = true; 2077 break; 2078 } 2079 if (preventDefault) { 2080 evt.preventDefault(); 2081 return false; 2082 } 2083 return true; 2084 } 2085 2086 function calcXY() { 2087 var e = window.event; 2088 var tgt = e.target || e.srcElement; 2089 var left = tgt.offsetLeft; 2090 var top = tgt.offsetTop; 2091 mouseX = (e.clientX - left) / scale + srcLeft; 2092 mouseY = (e.clientY - top) / scale + srcTop; 2093 } 2094 2095 function calcLeftTop() { 2096 srcLeft = mouseX - screenWidth / 2 / scale; 2097 srcTop = mouseY - screenHeight / 2 / scale; 2098 } 2099 2100 function handleMouseClick() { 2101 if (!draw_t || !ptInTControl()) { 2102 calcXY(); 2103 } else { 2104 redraw(); 2105 } 2106 } 2107 2108 function initDown() { 2109 var test = tests[testIndex]; 2110 var bestDistance = 1000000; 2111 activePt = -1; 2112 for (var curves in test) { 2113 var testCurve = test[curves]; 2114 if (testCurve.length != 4 && testCurve.length != 6 && testCurve.length != 8) { 2115 continue; 2116 } 2117 for (var i = 0; i < testCurve.length; i += 2) { 2118 var testX = testCurve[i]; 2119 var testY = testCurve[i + 1]; 2120 var dx = testX - mouseX; 2121 var dy = testY - mouseY; 2122 var dist = dx * dx + dy * dy; 2123 if (dist > bestDistance) { 2124 continue; 2125 } 2126 activeCurve = testCurve; 2127 activePt = i; 2128 bestDistance = dist; 2129 } 2130 } 2131 if (activePt >= 0) { 2132 lastX = mouseX; 2133 lastY = mouseY; 2134 } 2135 } 2136 2137 function handleMouseOver() { 2138 calcXY(); 2139 if (draw_mouse_xy) { 2140 var num = mouseX.toFixed(decimal_places) + ", " + mouseY.toFixed(decimal_places); 2141 ctx.beginPath(); 2142 ctx.rect(300, 100, num.length * 6, 10); 2143 ctx.fillStyle = "white"; 2144 ctx.fill(); 2145 ctx.font = "normal 10px Arial"; 2146 ctx.fillStyle = "black"; 2147 ctx.textAlign = "left"; 2148 ctx.fillText(num, 300, 108); 2149 } 2150 if (!mouseDown) { 2151 activePt = -1; 2152 return; 2153 } 2154 if (activePt < 0) { 2155 initDown(); 2156 return; 2157 } 2158 var deltaX = mouseX - lastX; 2159 var deltaY = mouseY - lastY; 2160 lastX = mouseX; 2161 lastY = mouseY; 2162 if (activePt == 0) { 2163 var test = tests[testIndex]; 2164 for (var curves in test) { 2165 var testCurve = test[curves]; 2166 testCurve[0] += deltaX; 2167 testCurve[1] += deltaY; 2168 } 2169 } else { 2170 activeCurve[activePt] += deltaX; 2171 activeCurve[activePt + 1] += deltaY; 2172 } 2173 redraw(); 2174 } 2175 2176 function start() { 2177 for (var i = 0; i < testDivs.length; ++i) { 2178 var title = testDivs[i].id.toString(); 2179 var str = testDivs[i].firstChild.data; 2180 parse(str, title); 2181 } 2182 drawTop(); 2183 window.addEventListener('keypress', doKeyPress, true); 2184 window.addEventListener('keydown', doKeyDown, true); 2185 window.onresize = function () { 2186 drawTop(); 2187 } 2188 } 2189 2190 </script> 2191 </head> 2192 2193 <body onLoad="start();"> 2194 2195 <canvas id="canvas" width="750" height="500" 2196 onmousedown="mouseDown = true" 2197 onmouseup="mouseDown = false" 2198 onmousemove="handleMouseOver()" 2199 onclick="handleMouseClick()" 2200 ></canvas > 2201 </body> 2202 </html>
