| Conditions | 151 |
| Paths | 5 |
| Total Lines | 889 |
| Code Lines | 626 |
| Lines | 0 |
| Ratio | 0 % |
| Changes | 0 | ||
Small methods make your code easier to understand, in particular if combined with a good name. Besides, if your method is small, finding a good name is usually much easier.
For example, if you find yourself adding comments to a method's body, this is usually a good sign to extract the commented part to a new method, and use the comment as a starting point when coming up with a good name for this new method.
Commonly applied refactorings include:
If many parameters/temporary variables are present:
| 1 | <?php |
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| 343 | |||
| 344 | private function processPath() |
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| 345 | { |
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| 346 | $info = $this->info; |
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| 347 | |||
| 348 | $mod = function ($a, $n) { |
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| 349 | return $a >= $n ? $a % $n : ($a >= 0 ? $a : $n - 1 - (-1 - $a) % $n); |
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| 350 | }; |
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| 351 | |||
| 352 | $xprod = function ($p1, $p2) { |
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| 353 | return $p1->x * $p2->y - $p1->y * $p2->x; |
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| 354 | }; |
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| 355 | |||
| 356 | $cyclic = function ($a, $b, $c) { |
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| 357 | if ($a <= $c) { |
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| 358 | return ($a <= $b && $b < $c); |
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| 359 | } else { |
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| 360 | return ($a <= $b || $b < $c); |
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| 361 | } |
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| 362 | }; |
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| 363 | |||
| 364 | $sign = function ($i) { |
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| 365 | return $i > 0 ? 1 : ($i < 0 ? -1 : 0); |
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| 366 | }; |
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| 367 | |||
| 368 | $quadform = function ($Q, $w) { |
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| 369 | $v = array_fill(0, 3, null); |
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| 370 | |||
| 371 | $v[0] = $w->x; |
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| 372 | $v[1] = $w->y; |
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| 373 | $v[2] = 1; |
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| 374 | $sum = 0.0; |
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| 375 | |||
| 376 | for ($i = 0; $i < 3; $i++) { |
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| 377 | for ($j = 0; $j < 3; $j++) { |
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| 378 | $sum += $v[$i] * $Q->at($i, $j) * $v[$j]; |
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| 379 | } |
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| 380 | } |
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| 381 | |||
| 382 | return $sum; |
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| 383 | }; |
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| 384 | |||
| 385 | $interval = function ($lambda, $a, $b) { |
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| 386 | $res = new Point(); |
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| 387 | |||
| 388 | $res->x = $a->x + $lambda * ($b->x - $a->x); |
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| 389 | $res->y = $a->y + $lambda * ($b->y - $a->y); |
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| 390 | |||
| 391 | return $res; |
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| 392 | }; |
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| 393 | |||
| 394 | $dorth_infty = function ($p0, $p2) use ($sign) { |
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| 395 | $r = new Point(); |
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| 396 | |||
| 397 | $r->y = $sign($p2->x - $p0->x); |
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| 398 | $r->x = -$sign($p2->y - $p0->y); |
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| 399 | |||
| 400 | return $r; |
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| 401 | }; |
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| 402 | |||
| 403 | $ddenom = function ($p0, $p2) use ($dorth_infty) { |
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| 404 | $r = $dorth_infty($p0, $p2); |
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| 405 | |||
| 406 | return $r->y * ($p2->x - $p0->x) - $r->x * ($p2->y - $p0->y); |
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| 407 | }; |
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| 408 | |||
| 409 | $dpara = function ($p0, $p1, $p2) { |
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| 410 | $x1 = $p1->x - $p0->x; |
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| 411 | $y1 = $p1->y - $p0->y; |
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| 412 | $x2 = $p2->x - $p0->x; |
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| 413 | $y2 = $p2->y - $p0->y; |
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| 414 | |||
| 415 | return $x1 * $y2 - $x2 * $y1; |
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| 416 | }; |
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| 417 | |||
| 418 | $cprod = function ($p0, $p1, $p2, $p3) { |
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| 419 | $x1 = $p1->x - $p0->x; |
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| 420 | $y1 = $p1->y - $p0->y; |
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| 421 | $x2 = $p3->x - $p2->x; |
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| 422 | $y2 = $p3->y - $p2->y; |
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| 423 | |||
| 424 | return $x1 * $y2 - $x2 * $y1; |
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| 425 | }; |
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| 426 | |||
| 427 | $iprod = function ($p0, $p1, $p2) { |
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| 428 | $x1 = $p1->x - $p0->x; |
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| 429 | $y1 = $p1->y - $p0->y; |
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| 430 | $x2 = $p2->x - $p0->x; |
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| 431 | $y2 = $p2->y - $p0->y; |
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| 432 | |||
| 433 | return $x1 * $x2 + $y1 * $y2; |
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| 434 | }; |
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| 435 | |||
| 436 | $iprod1 = function ($p0, $p1, $p2, $p3) { |
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| 437 | $x1 = $p1->x - $p0->x; |
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| 438 | $y1 = $p1->y - $p0->y; |
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| 439 | $x2 = $p3->x - $p2->x; |
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| 440 | $y2 = $p3->y - $p2->y; |
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| 441 | |||
| 442 | return $x1 * $x2 + $y1 * $y2; |
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| 443 | }; |
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| 444 | |||
| 445 | $ddist = function ($p, $q) { |
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| 446 | return sqrt(($p->x - $q->x) * ($p->x - $q->x) + ($p->y - $q->y) * ($p->y - $q->y)); |
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| 447 | }; |
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| 448 | |||
| 449 | $bezier = function ($t, $p0, $p1, $p2, $p3) { |
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| 450 | $s = 1 - $t; |
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| 451 | $res = new Point(); |
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| 452 | |||
| 453 | $res->x = $s * $s * $s * $p0->x + 3 * ($s * $s * $t) * $p1->x + 3 * ($t * $t * $s) * $p2->x + $t * $t * $t * $p3->x; |
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| 454 | $res->y = $s * $s * $s * $p0->y + 3 * ($s * $s * $t) * $p1->y + 3 * ($t * $t * $s) * $p2->y + $t * $t * $t * $p3->y; |
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| 455 | |||
| 456 | return $res; |
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| 457 | }; |
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| 458 | |||
| 459 | $tangent = function ($p0, $p1, $p2, $p3, $q0, $q1) use ($cprod) { |
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| 460 | $A = $cprod($p0, $p1, $q0, $q1); |
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| 461 | $B = $cprod($p1, $p2, $q0, $q1); |
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| 462 | $C = $cprod($p2, $p3, $q0, $q1); |
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| 463 | $a = $A - 2 * $B + $C; |
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| 464 | $b = -2 * $A + 2 * $B; |
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| 465 | $c = $A; |
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| 466 | |||
| 467 | $d = $b * $b - 4 * $a * $c; |
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| 468 | |||
| 469 | if ($a === 0 || $d < 0) { |
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| 470 | return -1.0; |
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| 471 | } |
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| 472 | |||
| 473 | $s = sqrt($d); |
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| 474 | |||
| 475 | if ($a == 0) { |
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| 476 | return -1.0; |
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| 477 | } |
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| 478 | $r1 = (-$b + $s) / (2 * $a); |
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| 479 | $r2 = (-$b - $s) / (2 * $a); |
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| 480 | |||
| 481 | if ($r1 >= 0 && $r1 <= 1) { |
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| 482 | return $r1; |
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| 483 | } else if ($r2 >= 0 && $r2 <= 1) { |
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| 484 | return $r2; |
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| 485 | } else { |
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| 486 | return -1.0; |
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| 487 | } |
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| 488 | }; |
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| 489 | |||
| 490 | $calcSums = function (&$path) { |
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| 491 | $path->x0 = $path->pt[0]->x; |
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| 492 | $path->y0 = $path->pt[0]->y; |
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| 493 | |||
| 494 | $path->sums = []; |
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| 495 | $s = &$path->sums; |
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| 496 | $s[] = new Sum(0, 0, 0, 0, 0); |
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| 497 | for ($i = 0; $i < $path->len; $i++) { |
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| 498 | $x = $path->pt[$i]->x - $path->x0; |
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| 499 | $y = $path->pt[$i]->y - $path->y0; |
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| 500 | $s[] = new Sum($s[$i]->x + $x, $s[$i]->y + $y, $s[$i]->xy + $x * $y, |
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| 501 | $s[$i]->x2 + $x * $x, $s[$i]->y2 + $y * $y); |
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| 502 | } |
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| 503 | }; |
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| 504 | |||
| 505 | $calcLon = function (&$path) use ($mod, $xprod, $sign, $cyclic) { |
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| 506 | $n = $path->len; |
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| 507 | $pt = &$path->pt; |
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| 508 | $pivk = array_fill(0, $n, null); |
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| 509 | $nc = array_fill(0, $n, null); |
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| 510 | $ct = array_fill(0, 4, null); |
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| 511 | $path->lon = array_fill(0, $n, null); |
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| 512 | |||
| 513 | $constraint = [new Point(), new Point()]; |
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| 514 | $cur = new Point(); |
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| 515 | $off = new Point(); |
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| 516 | $dk = new Point(); |
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| 517 | |||
| 518 | $k = 0; |
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| 519 | for ($i = $n - 1; $i >= 0; $i--) { |
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| 520 | if ($pt[$i]->x != $pt[$k]->x && $pt[$i]->y != $pt[$k]->y) { |
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| 521 | $k = $i + 1; |
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| 522 | } |
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| 523 | $nc[$i] = $k; |
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| 524 | } |
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| 525 | |||
| 526 | for ($i = $n - 1; $i >= 0; $i--) { |
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| 527 | $ct[0] = $ct[1] = $ct[2] = $ct[3] = 0; |
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| 528 | $dir = (3 + 3 * ($pt[$mod($i + 1, $n)]->x - $pt[$i]->x) + |
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| 529 | ($pt[$mod($i + 1, $n)]->y - $pt[$i]->y)) / 2; |
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| 530 | $ct[$dir]++; |
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| 531 | |||
| 532 | $constraint[0]->x = 0; |
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| 533 | $constraint[0]->y = 0; |
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| 534 | $constraint[1]->x = 0; |
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| 535 | $constraint[1]->y = 0; |
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| 536 | |||
| 537 | $k = $nc[$i]; |
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| 538 | $k1 = $i; |
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| 539 | while (1) { |
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| 540 | $foundk = 0; |
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| 541 | $dir = (3 + 3 * $sign($pt[$k]->x - $pt[$k1]->x) + |
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| 542 | $sign($pt[$k]->y - $pt[$k1]->y)) / 2; |
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| 543 | $ct[$dir]++; |
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| 544 | |||
| 545 | if ($ct[0] && $ct[1] && $ct[2] && $ct[3]) { |
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| 546 | $pivk[$i] = $k1; |
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| 547 | $foundk = 1; |
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| 548 | break; |
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| 549 | } |
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| 550 | |||
| 551 | $cur->x = $pt[$k]->x - $pt[$i]->x; |
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| 552 | $cur->y = $pt[$k]->y - $pt[$i]->y; |
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| 553 | |||
| 554 | if ($xprod($constraint[0], $cur) < 0 || $xprod($constraint[1], $cur) > 0) { |
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| 555 | break; |
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| 556 | } |
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| 557 | |||
| 558 | if (abs($cur->x) <= 1 && abs($cur->y) <= 1) { |
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| 559 | |||
| 560 | } else { |
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| 561 | $off->x = $cur->x + (($cur->y >= 0 && ($cur->y > 0 || $cur->x < 0)) ? 1 : -1); |
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| 562 | $off->y = $cur->y + (($cur->x <= 0 && ($cur->x < 0 || $cur->y < 0)) ? 1 : -1); |
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| 563 | if ($xprod($constraint[0], $off) >= 0) { |
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| 564 | $constraint[0]->x = $off->x; |
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| 565 | $constraint[0]->y = $off->y; |
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| 566 | } |
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| 567 | $off->x = $cur->x + (($cur->y <= 0 && ($cur->y < 0 || $cur->x < 0)) ? 1 : -1); |
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| 568 | $off->y = $cur->y + (($cur->x >= 0 && ($cur->x > 0 || $cur->y < 0)) ? 1 : -1); |
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| 569 | if ($xprod($constraint[1], $off) <= 0) { |
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| 570 | $constraint[1]->x = $off->x; |
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| 571 | $constraint[1]->y = $off->y; |
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| 572 | } |
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| 573 | } |
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| 574 | $k1 = $k; |
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| 575 | $k = $nc[$k1]; |
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| 576 | if (!$cyclic($k, $i, $k1)) { |
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| 577 | break; |
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| 578 | } |
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| 579 | } |
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| 580 | if ($foundk === 0) { |
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| 581 | $dk->x = $sign($pt[$k]->x - $pt[$k1]->x); |
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| 582 | $dk->y = $sign($pt[$k]->y - $pt[$k1]->y); |
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| 583 | $cur->x = $pt[$k1]->x - $pt[$i]->x; |
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| 584 | $cur->y = $pt[$k1]->y - $pt[$i]->y; |
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| 585 | |||
| 586 | $a = $xprod($constraint[0], $cur); |
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| 587 | $b = $xprod($constraint[0], $dk); |
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| 588 | $c = $xprod($constraint[1], $cur); |
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| 589 | $d = $xprod($constraint[1], $dk); |
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| 590 | |||
| 591 | $j = 10000000; |
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| 592 | if ($b < 0) { |
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| 593 | $j = floor($a / -$b); |
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| 594 | } |
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| 595 | if ($d > 0) { |
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| 596 | $j = min($j, floor(-$c / $d)); |
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| 597 | } |
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| 598 | $pivk[$i] = $mod($k1 + $j, $n); |
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| 599 | } |
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| 600 | } |
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| 601 | |||
| 602 | $j = $pivk[$n - 1]; |
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| 603 | $path->lon[$n - 1] = $j; |
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| 604 | for ($i = $n - 2; $i >= 0; $i--) { |
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| 605 | if ($cyclic($i + 1, $pivk[$i], $j)) { |
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| 606 | $j = $pivk[$i]; |
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| 607 | } |
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| 608 | $path->lon[$i] = $j; |
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| 609 | } |
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| 610 | |||
| 611 | for ($i = $n - 1; $cyclic($mod($i + 1, $n), $j, $path->lon[$i]); $i--) { |
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| 612 | $path->lon[$i] = $j; |
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| 613 | } |
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| 614 | }; |
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| 615 | |||
| 616 | $bestPolygon = function (&$path) use ($mod) { |
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| 617 | |||
| 618 | $penalty3 = function ($path, $i, $j) { |
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| 619 | $n = $path->len; |
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| 620 | $pt = $path->pt; |
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| 621 | $sums = $path->sums; |
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| 622 | $r = 0; |
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| 623 | if ($j >= $n) { |
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| 624 | $j -= $n; |
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| 625 | $r = 1; |
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| 626 | } |
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| 627 | |||
| 628 | if ($r === 0) { |
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| 629 | $x = $sums[$j + 1]->x - $sums[$i]->x; |
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| 630 | $y = $sums[$j + 1]->y - $sums[$i]->y; |
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| 631 | $x2 = $sums[$j + 1]->x2 - $sums[$i]->x2; |
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| 632 | $xy = $sums[$j + 1]->xy - $sums[$i]->xy; |
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| 633 | $y2 = $sums[$j + 1]->y2 - $sums[$i]->y2; |
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| 634 | $k = $j + 1 - $i; |
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| 635 | } else { |
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| 636 | $x = $sums[$j + 1]->x - $sums[$i]->x + $sums[$n]->x; |
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| 637 | $y = $sums[$j + 1]->y - $sums[$i]->y + $sums[$n]->y; |
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| 638 | $x2 = $sums[$j + 1]->x2 - $sums[$i]->x2 + $sums[$n]->x2; |
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| 639 | $xy = $sums[$j + 1]->xy - $sums[$i]->xy + $sums[$n]->xy; |
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| 640 | $y2 = $sums[$j + 1]->y2 - $sums[$i]->y2 + $sums[$n]->y2; |
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| 641 | $k = $j + 1 - $i + $n; |
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| 642 | } |
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| 643 | |||
| 644 | $px = ($pt[$i]->x + $pt[$j]->x) / 2.0 - $pt[0]->x; |
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| 645 | $py = ($pt[$i]->y + $pt[$j]->y) / 2.0 - $pt[0]->y; |
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| 646 | $ey = ($pt[$j]->x - $pt[$i]->x); |
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| 647 | $ex = -($pt[$j]->y - $pt[$i]->y); |
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| 648 | |||
| 649 | $a = (($x2 - 2 * $x * $px) / $k + $px * $px); |
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| 650 | $b = (($xy - $x * $py - $y * $px) / $k + $px * $py); |
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| 651 | $c = (($y2 - 2 * $y * $py) / $k + $py * $py); |
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| 652 | |||
| 653 | $s = $ex * $ex * $a + 2 * $ex * $ey * $b + $ey * $ey * $c; |
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| 654 | |||
| 655 | return sqrt($s); |
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| 656 | }; |
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| 657 | |||
| 658 | $n = $path->len; |
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| 659 | $pen = array_fill(0, $n + 1, null); |
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| 660 | $prev = array_fill(0, $n + 1, null); |
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| 661 | $clip0 = array_fill(0, $n, null); |
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| 662 | $clip1 = array_fill(0, $n + 1, null); |
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| 663 | $seg0 = array_fill(0, $n + 1, null); |
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| 664 | $seg1 = array_fill(0, $n + 1, null); |
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| 665 | |||
| 666 | for ($i = 0; $i < $n; $i++) { |
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| 667 | $c = $mod($path->lon[$mod($i - 1, $n)] - 1, $n); |
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| 668 | if ($c == $i) { |
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| 669 | $c = $mod($i + 1, $n); |
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| 670 | } |
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| 671 | if ($c < $i) { |
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| 672 | $clip0[$i] = $n; |
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| 673 | } else { |
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| 674 | $clip0[$i] = $c; |
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| 675 | } |
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| 676 | } |
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| 677 | |||
| 678 | $j = 1; |
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| 679 | for ($i = 0; $i < $n; $i++) { |
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| 680 | while ($j <= $clip0[$i]) { |
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| 681 | $clip1[$j] = $i; |
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| 682 | $j++; |
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| 683 | } |
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| 684 | } |
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| 685 | |||
| 686 | $i = 0; |
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| 687 | for ($j = 0; $i < $n; $j++) { |
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| 688 | $seg0[$j] = $i; |
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| 689 | $i = $clip0[$i]; |
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| 690 | } |
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| 691 | $seg0[$j] = $n; |
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| 692 | $m = $j; |
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| 693 | |||
| 694 | $i = $n; |
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| 695 | for ($j = $m; $j > 0; $j--) { |
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| 696 | $seg1[$j] = $i; |
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| 697 | $i = $clip1[$i]; |
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| 698 | } |
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| 699 | $seg1[0] = 0; |
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| 700 | |||
| 701 | $pen[0] = 0; |
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| 702 | for ($j = 1; $j <= $m; $j++) { |
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| 703 | for ($i = $seg1[$j]; $i <= $seg0[$j]; $i++) { |
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| 704 | $best = -1; |
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| 705 | for ($k = $seg0[$j - 1]; $k >= $clip1[$i]; $k--) { |
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| 706 | $thispen = $penalty3($path, $k, $i) + $pen[$k]; |
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| 707 | if ($best < 0 || $thispen < $best) { |
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| 708 | $prev[$i] = $k; |
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| 709 | $best = $thispen; |
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| 710 | } |
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| 711 | } |
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| 712 | $pen[$i] = $best; |
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| 713 | } |
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| 714 | } |
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| 715 | $path->m = $m; |
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| 716 | $path->po = array_fill(0, $m, null); |
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| 717 | |||
| 718 | for ($i = $n, $j = $m - 1; $i > 0; $j--) { |
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| 719 | $i = $prev[$i]; |
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| 720 | $path->po[$j] = $i; |
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| 721 | } |
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| 722 | }; |
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| 723 | |||
| 724 | $adjustVertices = function (&$path) use ($mod, $quadform) { |
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| 725 | |||
| 726 | $pointslope = function ($path, $i, $j, &$ctr, &$dir) { |
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| 727 | |||
| 728 | $n = $path->len; |
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| 729 | $sums = $path->sums; |
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| 730 | $r = 0; |
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| 731 | |||
| 732 | while ($j >= $n) { |
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| 733 | $j -= $n; |
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| 734 | $r += 1; |
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| 735 | } |
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| 736 | while ($i >= $n) { |
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| 737 | $i -= $n; |
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| 738 | $r -= 1; |
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| 739 | } |
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| 740 | while ($j < 0) { |
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| 741 | $j += $n; |
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| 742 | $r -= 1; |
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| 743 | } |
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| 744 | while ($i < 0) { |
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| 745 | $i += $n; |
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| 746 | $r += 1; |
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| 747 | } |
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| 748 | |||
| 749 | $x = $sums[$j + 1]->x - $sums[$i]->x + $r * $sums[$n]->x; |
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| 750 | $y = $sums[$j + 1]->y - $sums[$i]->y + $r * $sums[$n]->y; |
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| 751 | $x2 = $sums[$j + 1]->x2 - $sums[$i]->x2 + $r * $sums[$n]->x2; |
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| 752 | $xy = $sums[$j + 1]->xy - $sums[$i]->xy + $r * $sums[$n]->xy; |
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| 753 | $y2 = $sums[$j + 1]->y2 - $sums[$i]->y2 + $r * $sums[$n]->y2; |
||
| 754 | $k = $j + 1 - $i + $r * $n; |
||
| 755 | |||
| 756 | $ctr->x = $x / $k; |
||
| 757 | $ctr->y = $y / $k; |
||
| 758 | |||
| 759 | $a = ($x2 - $x * $x / $k) / $k; |
||
| 760 | $b = ($xy - $x * $y / $k) / $k; |
||
| 761 | $c = ($y2 - $y * $y / $k) / $k; |
||
| 762 | |||
| 763 | $lambda2 = ($a + $c + sqrt(($a - $c) * ($a - $c) + 4 * $b * $b)) / 2; |
||
| 764 | |||
| 765 | $a -= $lambda2; |
||
| 766 | $c -= $lambda2; |
||
| 767 | |||
| 768 | if (abs($a) >= abs($c)) { |
||
| 769 | $l = sqrt($a * $a + $b * $b); |
||
| 770 | if ($l != 0) { |
||
| 771 | $dir->x = -$b / $l; |
||
| 772 | $dir->y = $a / $l; |
||
| 773 | } |
||
| 774 | } else { |
||
| 775 | $l = sqrt($c * $c + $b * $b); |
||
| 776 | if ($l !== 0) { |
||
| 777 | $dir->x = -$c / $l; |
||
| 778 | $dir->y = $b / $l; |
||
| 779 | } |
||
| 780 | } |
||
| 781 | if ($l === 0) { |
||
| 782 | $dir->x = $dir->y = 0; |
||
| 783 | } |
||
| 784 | }; |
||
| 785 | |||
| 786 | $m = $path->m; |
||
| 787 | $po = $path->po; |
||
| 788 | $n = $path->len; |
||
| 789 | $pt = $path->pt; |
||
| 790 | $x0 = $path->x0; |
||
| 791 | $y0 = $path->y0; |
||
| 792 | $ctr = array_fill(0, $m, null); |
||
| 793 | $dir = array_fill(0, $m, null); |
||
| 794 | $q = array_fill(0, $m, null); |
||
| 795 | $v = array_fill(0, 3, null); |
||
| 796 | $s = new Point(); |
||
| 797 | |||
| 798 | $path->curve = new Curve($m); |
||
| 799 | |||
| 800 | for ($i = 0; $i < $m; $i++) { |
||
| 801 | $j = $po[$mod($i + 1, $m)]; |
||
| 802 | $j = $mod($j - $po[$i], $n) + $po[$i]; |
||
| 803 | $ctr[$i] = new Point(); |
||
| 804 | $dir[$i] = new Point(); |
||
| 805 | $pointslope($path, $po[$i], $j, $ctr[$i], $dir[$i]); |
||
| 806 | } |
||
| 807 | |||
| 808 | for ($i = 0; $i < $m; $i++) { |
||
| 809 | $q[$i] = new Quad(); |
||
| 810 | $d = $dir[$i]->x * $dir[$i]->x + $dir[$i]->y * $dir[$i]->y; |
||
| 811 | if ($d === 0.0) { |
||
| 812 | for ($j = 0; $j < 3; $j++) { |
||
| 813 | for ($k = 0; $k < 3; $k++) { |
||
| 814 | $q[$i]->data[$j * 3 + $k] = 0; |
||
| 815 | } |
||
| 816 | } |
||
| 817 | } else { |
||
| 818 | $v[0] = $dir[$i]->y; |
||
| 819 | $v[1] = -$dir[$i]->x; |
||
| 820 | $v[2] = -$v[1] * $ctr[$i]->y - $v[0] * $ctr[$i]->x; |
||
| 821 | for ($l = 0; $l < 3; $l++) { |
||
| 822 | for ($k = 0; $k < 3; $k++) { |
||
| 823 | if ($d != 0) { |
||
| 824 | $q[$i]->data[$l * 3 + $k] = $v[$l] * $v[$k] / $d; |
||
| 825 | } else { |
||
| 826 | $q[$i]->data[$l * 3 + $k] = null; // TODO Hack para evitar división por 0 |
||
| 827 | } |
||
| 828 | } |
||
| 829 | } |
||
| 830 | } |
||
| 831 | } |
||
| 832 | |||
| 833 | for ($i = 0; $i < $m; $i++) { |
||
| 834 | $Q = new Quad(); |
||
| 835 | $w = new Point(); |
||
| 836 | |||
| 837 | $s->x = $pt[$po[$i]]->x - $x0; |
||
| 838 | $s->y = $pt[$po[$i]]->y - $y0; |
||
| 839 | |||
| 840 | $j = $mod($i - 1, $m); |
||
| 841 | |||
| 842 | for ($l = 0; $l < 3; $l++) { |
||
| 843 | for ($k = 0; $k < 3; $k++) { |
||
| 844 | $Q->data[$l * 3 + $k] = $q[$j]->at($l, $k) + $q[$i]->at($l, $k); |
||
| 845 | } |
||
| 846 | } |
||
| 847 | |||
| 848 | while (1) { |
||
| 849 | |||
| 850 | $det = $Q->at(0, 0) * $Q->at(1, 1) - $Q->at(0, 1) * $Q->at(1, 0); |
||
| 851 | if ($det !== 0.0 && $det != 0) { |
||
| 852 | $w->x = (-$Q->at(0, 2) * $Q->at(1, 1) + $Q->at(1, 2) * $Q->at(0, 1)) / $det; |
||
| 853 | $w->y = ($Q->at(0, 2) * $Q->at(1, 0) - $Q->at(1, 2) * $Q->at(0, 0)) / $det; |
||
| 854 | break; |
||
| 855 | } |
||
| 856 | |||
| 857 | if ($Q->at(0, 0) > $Q->at(1, 1)) { |
||
| 858 | $v[0] = -$Q->at(0, 1); |
||
| 859 | $v[1] = $Q->at(0, 0); |
||
| 860 | } else if ($Q->at(1, 1)) { |
||
| 861 | $v[0] = -$Q->at(1, 1); |
||
| 862 | $v[1] = $Q->at(1, 0); |
||
| 863 | } else { |
||
| 864 | $v[0] = 1; |
||
| 865 | $v[1] = 0; |
||
| 866 | } |
||
| 867 | $d = $v[0] * $v[0] + $v[1] * $v[1]; |
||
| 868 | $v[2] = -$v[1] * $s->y - $v[0] * $s->x; |
||
| 869 | for ($l = 0; $l < 3; $l++) { |
||
| 870 | for ($k = 0; $k < 3; $k++) { |
||
| 871 | $Q->data[$l * 3 + $k] += $v[$l] * $v[$k] / $d; |
||
| 872 | } |
||
| 873 | } |
||
| 874 | } |
||
| 875 | $dx = abs($w->x - $s->x); |
||
| 876 | $dy = abs($w->y - $s->y); |
||
| 877 | if ($dx <= 0.5 && $dy <= 0.5) { |
||
| 878 | $path->curve->vertex[$i] = new Point($w->x + $x0, $w->y + $y0); |
||
| 879 | continue; |
||
| 880 | } |
||
| 881 | |||
| 882 | $min = $quadform($Q, $s); |
||
| 883 | $xmin = $s->x; |
||
| 884 | $ymin = $s->y; |
||
| 885 | |||
| 886 | if ($Q->at(0, 0) !== 0.0) { |
||
| 887 | for ($z = 0; $z < 2; $z++) { |
||
| 888 | $w->y = $s->y - 0.5 + $z; |
||
| 889 | $w->x = -($Q->at(0, 1) * $w->y + $Q->at(0, 2)) / $Q->at(0, 0); |
||
| 890 | $dx = abs($w->x - $s->x); |
||
| 891 | $cand = $quadform($Q, $w); |
||
| 892 | if ($dx <= 0.5 && $cand < $min) { |
||
| 893 | $min = $cand; |
||
| 894 | $xmin = $w->x; |
||
| 895 | $ymin = $w->y; |
||
| 896 | } |
||
| 897 | } |
||
| 898 | } |
||
| 899 | |||
| 900 | if ($Q->at(1, 1) !== 0.0) { |
||
| 901 | for ($z = 0; $z < 2; $z++) { |
||
| 902 | $w->x = $s->x - 0.5 + $z; |
||
| 903 | $w->y = -($Q->at(1, 0) * $w->x + $Q->at(1, 2)) / $Q->at(1, 1); |
||
| 904 | $dy = abs($w->y - $s->y); |
||
| 905 | $cand = $quadform($Q, $w); |
||
| 906 | if ($dy <= 0.5 && $cand < $min) { |
||
| 907 | $min = $cand; |
||
| 908 | $xmin = $w->x; |
||
| 909 | $ymin = $w->y; |
||
| 910 | } |
||
| 911 | } |
||
| 912 | } |
||
| 913 | |||
| 914 | for ($l = 0; $l < 2; $l++) { |
||
| 915 | for ($k = 0; $k < 2; $k++) { |
||
| 916 | $w->x = $s->x - 0.5 + $l; |
||
| 917 | $w->y = $s->y - 0.5 + $k; |
||
| 918 | $cand = $quadform($Q, $w); |
||
| 919 | if ($cand < $min) { |
||
| 920 | $min = $cand; |
||
| 921 | $xmin = $w->x; |
||
| 922 | $ymin = $w->y; |
||
| 923 | } |
||
| 924 | } |
||
| 925 | } |
||
| 926 | |||
| 927 | $path->curve->vertex[$i] = new Point($xmin + $x0, $ymin + $y0); |
||
| 928 | } |
||
| 929 | }; |
||
| 930 | |||
| 931 | $reverse = function (&$path) { |
||
| 932 | $curve = &$path->curve; |
||
| 933 | $m = $curve->n; |
||
| 934 | $v = &$curve->vertex; |
||
| 935 | |||
| 936 | for ($i = 0, $j = $m - 1; $i < $j; $i++, $j--) { |
||
| 937 | $tmp = $v[$i]; |
||
| 938 | $v[$i] = $v[$j]; |
||
| 939 | $v[$j] = $tmp; |
||
| 940 | } |
||
| 941 | }; |
||
| 942 | |||
| 943 | $smooth = function (&$path) use ($mod, $interval, $ddenom, $dpara, $info) { |
||
| 944 | $m = $path->curve->n; |
||
| 945 | $curve = &$path->curve; |
||
| 946 | |||
| 947 | for ($i = 0; $i < $m; $i++) { |
||
| 948 | $j = $mod($i + 1, $m); |
||
| 949 | $k = $mod($i + 2, $m); |
||
| 950 | $p4 = $interval(1 / 2.0, $curve->vertex[$k], $curve->vertex[$j]); |
||
| 951 | |||
| 952 | $denom = $ddenom($curve->vertex[$i], $curve->vertex[$k]); |
||
| 953 | if ($denom !== 0.0) { |
||
| 954 | $dd = $dpara($curve->vertex[$i], $curve->vertex[$j], $curve->vertex[$k]) / $denom; |
||
| 955 | $dd = abs($dd); |
||
| 956 | $alpha = $dd > 1 ? (1 - 1.0 / $dd) : 0; |
||
| 957 | $alpha = $alpha / 0.75; |
||
| 958 | } else { |
||
| 959 | $alpha = 4 / 3.0; |
||
| 960 | } |
||
| 961 | $curve->alpha0[$j] = $alpha; |
||
| 962 | |||
| 963 | if ($alpha >= $info->alphamax) { |
||
| 964 | $curve->tag[$j] = "CORNER"; |
||
| 965 | $curve->c[3 * $j + 1] = $curve->vertex[$j]; |
||
| 966 | $curve->c[3 * $j + 2] = $p4; |
||
| 967 | } else { |
||
| 968 | if ($alpha < 0.55) { |
||
| 969 | $alpha = 0.55; |
||
| 970 | } else if ($alpha > 1) { |
||
| 971 | $alpha = 1; |
||
| 972 | } |
||
| 973 | $p2 = $interval(0.5 + 0.5 * $alpha, $curve->vertex[$i], $curve->vertex[$j]); |
||
| 974 | $p3 = $interval(0.5 + 0.5 * $alpha, $curve->vertex[$k], $curve->vertex[$j]); |
||
| 975 | $curve->tag[$j] = "CURVE"; |
||
| 976 | $curve->c[3 * $j + 0] = $p2; |
||
| 977 | $curve->c[3 * $j + 1] = $p3; |
||
| 978 | $curve->c[3 * $j + 2] = $p4; |
||
| 979 | } |
||
| 980 | $curve->alpha[$j] = $alpha; |
||
| 981 | $curve->beta[$j] = 0.5; |
||
| 982 | } |
||
| 983 | $curve->alphaCurve = 1; |
||
| 984 | }; |
||
| 985 | |||
| 986 | $optiCurve = function (&$path) use ($mod, $ddist, $sign, $cprod, $dpara, $interval, $tangent, $bezier, $iprod, $iprod1, $info) { |
||
| 987 | $opti_penalty = function ($path, $i, $j, $res, $opttolerance, $convc, $areac) use ($mod, $ddist, $sign, $cprod, $dpara, $interval, $tangent, $bezier, $iprod, $iprod1) { |
||
| 988 | $m = $path->curve->n; |
||
| 989 | $curve = $path->curve; |
||
| 990 | $vertex = $curve->vertex; |
||
| 991 | if ($i == $j) { |
||
| 992 | return 1; |
||
| 993 | } |
||
| 994 | |||
| 995 | $k = $i; |
||
| 996 | $i1 = $mod($i + 1, $m); |
||
| 997 | $k1 = $mod($k + 1, $m); |
||
| 998 | $conv = $convc[$k1]; |
||
| 999 | if ($conv === 0) { |
||
| 1000 | return 1; |
||
| 1001 | } |
||
| 1002 | $d = $ddist($vertex[$i], $vertex[$i1]); |
||
| 1003 | for ($k = $k1; $k != $j; $k = $k1) { |
||
| 1004 | $k1 = $mod($k + 1, $m); |
||
| 1005 | $k2 = $mod($k + 2, $m); |
||
| 1006 | if ($convc[$k1] != $conv) { |
||
| 1007 | return 1; |
||
| 1008 | } |
||
| 1009 | if ($sign($cprod($vertex[$i], $vertex[$i1], $vertex[$k1], $vertex[$k2])) != |
||
| 1010 | $conv) { |
||
| 1011 | return 1; |
||
| 1012 | } |
||
| 1013 | if ($iprod1($vertex[$i], $vertex[$i1], $vertex[$k1], $vertex[$k2]) < |
||
| 1014 | $d * $ddist($vertex[$k1], $vertex[$k2]) * -0.999847695156) { |
||
| 1015 | return 1; |
||
| 1016 | } |
||
| 1017 | } |
||
| 1018 | |||
| 1019 | $p0 = clone $curve->c[$mod($i, $m) * 3 + 2]; |
||
| 1020 | $p1 = clone $vertex[$mod($i + 1, $m)]; |
||
| 1021 | $p2 = clone $vertex[$mod($j, $m)]; |
||
| 1022 | $p3 = clone $curve->c[$mod($j, $m) * 3 + 2]; |
||
| 1023 | |||
| 1024 | $area = $areac[$j] - $areac[$i]; |
||
| 1025 | $area -= $dpara($vertex[0], $curve->c[$i * 3 + 2], $curve->c[$j * 3 + 2]) / 2; |
||
| 1026 | if ($i >= $j) { |
||
| 1027 | $area += $areac[$m]; |
||
| 1028 | } |
||
| 1029 | |||
| 1030 | $A1 = $dpara($p0, $p1, $p2); |
||
| 1031 | $A2 = $dpara($p0, $p1, $p3); |
||
| 1032 | $A3 = $dpara($p0, $p2, $p3); |
||
| 1033 | |||
| 1034 | $A4 = $A1 + $A3 - $A2; |
||
| 1035 | |||
| 1036 | if ($A2 == $A1) { |
||
| 1037 | return 1; |
||
| 1038 | } |
||
| 1039 | |||
| 1040 | $t = $A3 / ($A3 - $A4); |
||
| 1041 | $s = $A2 / ($A2 - $A1); |
||
| 1042 | $A = $A2 * $t / 2.0; |
||
| 1043 | |||
| 1044 | if ($A === 0.0) { |
||
| 1045 | return 1; |
||
| 1046 | } |
||
| 1047 | |||
| 1048 | $R = $area / $A; |
||
| 1049 | $alpha = 2 - sqrt(4 - $R / 0.3); |
||
| 1050 | |||
| 1051 | $res->c[0] = $interval($t * $alpha, $p0, $p1); |
||
| 1052 | $res->c[1] = $interval($s * $alpha, $p3, $p2); |
||
| 1053 | $res->alpha = $alpha; |
||
| 1054 | $res->t = $t; |
||
| 1055 | $res->s = $s; |
||
| 1056 | |||
| 1057 | $p1 = clone $res->c[0]; |
||
| 1058 | $p2 = clone $res->c[1]; |
||
| 1059 | |||
| 1060 | $res->pen = 0; |
||
| 1061 | |||
| 1062 | for ($k = $mod($i + 1, $m); $k != $j; $k = $k1) { |
||
| 1063 | $k1 = $mod($k + 1, $m); |
||
| 1064 | $t = $tangent($p0, $p1, $p2, $p3, $vertex[$k], $vertex[$k1]); |
||
| 1065 | if ($t < -0.5) { |
||
| 1066 | return 1; |
||
| 1067 | } |
||
| 1068 | $pt = $bezier($t, $p0, $p1, $p2, $p3); |
||
| 1069 | $d = $ddist($vertex[$k], $vertex[$k1]); |
||
| 1070 | if ($d === 0.0) { |
||
| 1071 | return 1; |
||
| 1072 | } |
||
| 1073 | $d1 = $dpara($vertex[$k], $vertex[$k1], $pt) / $d; |
||
| 1074 | if (abs($d1) > $opttolerance) { |
||
| 1075 | return 1; |
||
| 1076 | } |
||
| 1077 | if ($iprod($vertex[$k], $vertex[$k1], $pt) < 0 || |
||
| 1078 | $iprod($vertex[$k1], $vertex[$k], $pt) < 0) { |
||
| 1079 | return 1; |
||
| 1080 | } |
||
| 1081 | $res->pen += $d1 * $d1; |
||
| 1082 | } |
||
| 1083 | |||
| 1084 | for ($k = $i; $k != $j; $k = $k1) { |
||
| 1085 | $k1 = $mod($k + 1, $m); |
||
| 1086 | $t = $tangent($p0, $p1, $p2, $p3, $curve->c[$k * 3 + 2], $curve->c[$k1 * 3 + 2]); |
||
| 1087 | if ($t < -0.5) { |
||
| 1088 | return 1; |
||
| 1089 | } |
||
| 1090 | $pt = $bezier($t, $p0, $p1, $p2, $p3); |
||
| 1091 | $d = $ddist($curve->c[$k * 3 + 2], $curve->c[$k1 * 3 + 2]); |
||
| 1092 | if ($d === 0.0) { |
||
| 1093 | return 1; |
||
| 1094 | } |
||
| 1095 | $d1 = $dpara($curve->c[$k * 3 + 2], $curve->c[$k1 * 3 + 2], $pt) / $d; |
||
| 1096 | $d2 = $dpara($curve->c[$k * 3 + 2], $curve->c[$k1 * 3 + 2], $vertex[$k1]) / $d; |
||
| 1097 | $d2 *= 0.75 * $curve->alpha[$k1]; |
||
| 1098 | if ($d2 < 0) { |
||
| 1099 | $d1 = -$d1; |
||
| 1100 | $d2 = -$d2; |
||
| 1101 | } |
||
| 1102 | if ($d1 < $d2 - $opttolerance) { |
||
| 1103 | return 1; |
||
| 1104 | } |
||
| 1105 | if ($d1 < $d2) { |
||
| 1106 | $res->pen += ($d1 - $d2) * ($d1 - $d2); |
||
| 1107 | } |
||
| 1108 | } |
||
| 1109 | |||
| 1110 | return 0; |
||
| 1111 | }; |
||
| 1112 | |||
| 1113 | $curve = $path->curve; |
||
| 1114 | $m = $curve->n; |
||
| 1115 | $vert = $curve->vertex; |
||
| 1116 | $pt = array_fill(0, $m + 1, null); |
||
| 1117 | $pen = array_fill(0, $m + 1, null); |
||
| 1118 | $len = array_fill(0, $m + 1, null); |
||
| 1119 | $opt = array_fill(0, $m + 1, null); |
||
| 1120 | $o = new Opti(); |
||
| 1121 | |||
| 1122 | $convc = array_fill(0, $m, null); |
||
| 1123 | $areac = array_fill(0, $m + 1, null); |
||
| 1124 | |||
| 1125 | for ($i = 0; $i < $m; $i++) { |
||
| 1126 | if ($curve->tag[$i] == "CURVE") { |
||
| 1127 | $convc[$i] = $sign($dpara($vert[$mod($i - 1, $m)], $vert[$i], $vert[$mod($i + 1, $m)])); |
||
| 1128 | } else { |
||
| 1129 | $convc[$i] = 0; |
||
| 1130 | } |
||
| 1131 | } |
||
| 1132 | |||
| 1133 | $area = 0.0; |
||
| 1134 | $areac[0] = 0.0; |
||
| 1135 | $p0 = $curve->vertex[0]; |
||
| 1136 | for ($i = 0; $i < $m; $i++) { |
||
| 1137 | $i1 = $mod($i + 1, $m); |
||
| 1138 | if ($curve->tag[$i1] == "CURVE") { |
||
| 1139 | $alpha = $curve->alpha[$i1]; |
||
| 1140 | $area += 0.3 * $alpha * (4 - $alpha) * |
||
| 1141 | $dpara($curve->c[$i * 3 + 2], $vert[$i1], $curve->c[$i1 * 3 + 2]) / 2; |
||
| 1142 | $area += $dpara($p0, $curve->c[$i * 3 + 2], $curve->c[$i1 * 3 + 2]) / 2; |
||
| 1143 | } |
||
| 1144 | $areac[$i + 1] = $area; |
||
| 1145 | } |
||
| 1146 | |||
| 1147 | $pt[0] = -1; |
||
| 1148 | $pen[0] = 0; |
||
| 1149 | $len[0] = 0; |
||
| 1150 | |||
| 1151 | |||
| 1152 | for ($j = 1; $j <= $m; $j++) { |
||
| 1153 | $pt[$j] = $j - 1; |
||
| 1154 | $pen[$j] = $pen[$j - 1]; |
||
| 1155 | $len[$j] = $len[$j - 1] + 1; |
||
| 1156 | |||
| 1157 | for ($i = $j - 2; $i >= 0; $i--) { |
||
| 1158 | $r = $opti_penalty($path, $i, $mod($j, $m), $o, $info->opttolerance, $convc, |
||
| 1159 | $areac); |
||
| 1160 | if ($r) { |
||
| 1161 | break; |
||
| 1162 | } |
||
| 1163 | if ($len[$j] > $len[$i] + 1 || |
||
| 1164 | ($len[$j] == $len[$i] + 1 && $pen[$j] > $pen[$i] + $o->pen)) { |
||
| 1165 | $pt[$j] = $i; |
||
| 1166 | $pen[$j] = $pen[$i] + $o->pen; |
||
| 1167 | $len[$j] = $len[$i] + 1; |
||
| 1168 | $opt[$j] = $o; |
||
| 1169 | $o = new Opti(); |
||
| 1170 | } |
||
| 1171 | } |
||
| 1172 | } |
||
| 1173 | $om = $len[$m]; |
||
| 1174 | $ocurve = new Curve($om); |
||
| 1175 | $s = array_fill(0, $om, null); |
||
| 1176 | $t = array_fill(0, $om, null); |
||
| 1177 | |||
| 1178 | $j = $m; |
||
| 1179 | for ($i = $om - 1; $i >= 0; $i--) { |
||
| 1180 | if ($pt[$j] == $j - 1) { |
||
| 1181 | $ocurve->tag[$i] = $curve->tag[$mod($j, $m)]; |
||
| 1182 | $ocurve->c[$i * 3 + 0] = $curve->c[$mod($j, $m) * 3 + 0]; |
||
| 1183 | $ocurve->c[$i * 3 + 1] = $curve->c[$mod($j, $m) * 3 + 1]; |
||
| 1184 | $ocurve->c[$i * 3 + 2] = $curve->c[$mod($j, $m) * 3 + 2]; |
||
| 1185 | $ocurve->vertex[$i] = $curve->vertex[$mod($j, $m)]; |
||
| 1186 | $ocurve->alpha[$i] = $curve->alpha[$mod($j, $m)]; |
||
| 1187 | $ocurve->alpha0[$i] = $curve->alpha0[$mod($j, $m)]; |
||
| 1188 | $ocurve->beta[$i] = $curve->beta[$mod($j, $m)]; |
||
| 1189 | $s[$i] = $t[$i] = 1.0; |
||
| 1190 | } else { |
||
| 1191 | $ocurve->tag[$i] = "CURVE"; |
||
| 1192 | $ocurve->c[$i * 3 + 0] = $opt[$j]->c[0]; |
||
| 1193 | $ocurve->c[$i * 3 + 1] = $opt[$j]->c[1]; |
||
| 1194 | $ocurve->c[$i * 3 + 2] = $curve->c[$mod($j, $m) * 3 + 2]; |
||
| 1195 | $ocurve->vertex[$i] = $interval($opt[$j]->s, $curve->c[$mod($j, $m) * 3 + 2], |
||
| 1196 | $vert[$mod($j, $m)]); |
||
| 1197 | $ocurve->alpha[$i] = $opt[$j]->alpha; |
||
| 1198 | $ocurve->alpha0[$i] = $opt[$j]->alpha; |
||
| 1199 | $s[$i] = $opt[$j]->s; |
||
| 1200 | $t[$i] = $opt[$j]->t; |
||
| 1201 | } |
||
| 1202 | $j = $pt[$j]; |
||
| 1203 | } |
||
| 1204 | |||
| 1205 | for ($i = 0; $i < $om; $i++) { |
||
| 1206 | $i1 = $mod($i + 1, $om); |
||
| 1207 | if (($s[$i] + $t[$i1]) != 0) { |
||
| 1208 | $ocurve->beta[$i] = $s[$i] / ($s[$i] + $t[$i1]); |
||
| 1209 | } else { |
||
| 1210 | $ocurve->beta[$i] = null; // TODO Hack para evitar división por 0 |
||
| 1211 | } |
||
| 1212 | } |
||
| 1213 | $ocurve->alphaCurve = 1; |
||
| 1214 | $path->curve = $ocurve; |
||
| 1215 | }; |
||
| 1216 | |||
| 1217 | $len = count($this->pathlist); |
||
| 1218 | for ($i = 0; $i < $len; $i++) { |
||
| 1219 | $path = &$this->pathlist[$i]; |
||
| 1220 | $calcSums($path); |
||
| 1221 | $calcLon($path); |
||
| 1222 | $bestPolygon($path); |
||
| 1223 | $adjustVertices($path); |
||
| 1224 | |||
| 1225 | if ($path->sign === "-") { |
||
| 1226 | $reverse($path); |
||
| 1227 | } |
||
| 1228 | |||
| 1229 | $smooth($path); |
||
| 1230 | |||
| 1231 | if ($info->optcurve) { |
||
| 1232 | $optiCurve($path); |
||
| 1321 |