1 /* 2 * Copyright (c) 2007, 2018, Oracle and/or its affiliates. All rights reserved. 3 * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER. 4 * 5 * This code is free software; you can redistribute it and/or modify it 6 * under the terms of the GNU General Public License version 2 only, as 7 * published by the Free Software Foundation. Oracle designates this 8 * particular file as subject to the "Classpath" exception as provided 9 * by Oracle in the LICENSE file that accompanied this code. 10 * 11 * This code is distributed in the hope that it will be useful, but WITHOUT 12 * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or 13 * FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License 14 * version 2 for more details (a copy is included in the LICENSE file that 15 * accompanied this code). 16 * 17 * You should have received a copy of the GNU General Public License version 18 * 2 along with this work; if not, write to the Free Software Foundation, 19 * Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA. 20 * 21 * Please contact Oracle, 500 Oracle Parkway, Redwood Shores, CA 94065 USA 22 * or visit www.oracle.com if you need additional information or have any 23 * questions. 24 */ 25 26 package sun.java2d.marlin; 27 28 import java.util.Arrays; 29 import sun.awt.geom.PathConsumer2D; 30 import sun.java2d.marlin.TransformingPathConsumer2D.CurveBasicMonotonizer; 31 import sun.java2d.marlin.TransformingPathConsumer2D.CurveClipSplitter; 32 33 /** 34 * The <code>Dasher</code> class takes a series of linear commands 35 * (<code>moveTo</code>, <code>lineTo</code>, <code>close</code> and 36 * <code>end</code>) and breaks them into smaller segments according to a 37 * dash pattern array and a starting dash phase. 38 * 39 * <p> Issues: in J2Se, a zero length dash segment as drawn as a very 40 * short dash, whereas Pisces does not draw anything. The PostScript 41 * semantics are unclear. 42 * 43 */ 44 final class Dasher implements PathConsumer2D, MarlinConst { 45 46 /* huge circle with radius ~ 2E9 only needs 12 subdivision levels */ 47 static final int REC_LIMIT = 16; 48 static final float CURVE_LEN_ERR = MarlinProperties.getCurveLengthError(); // 0.01 49 static final float MIN_T_INC = 1.0f / (1 << REC_LIMIT); 50 51 static final float EPS = 1e-6f; 52 53 // More than 24 bits of mantissa means we can no longer accurately 54 // measure the number of times cycled through the dash array so we 55 // punt and override the phase to just be 0 past that point. 56 static final float MAX_CYCLES = 16000000.0f; 57 58 private PathConsumer2D out; 59 private float[] dash; 60 private int dashLen; 61 private float startPhase; 62 private boolean startDashOn; 63 private int startIdx; 64 65 private boolean starting; 66 private boolean needsMoveTo; 67 68 private int idx; 69 private boolean dashOn; 70 private float phase; 71 72 // The starting point of the path 73 private float sx0, sy0; 74 // the current point 75 private float cx0, cy0; 76 77 // temporary storage for the current curve 78 private final float[] curCurvepts; 79 80 // per-thread renderer context 81 final RendererContext rdrCtx; 82 83 // flag to recycle dash array copy 84 boolean recycleDashes; 85 86 // We don't emit the first dash right away. If we did, caps would be 87 // drawn on it, but we need joins to be drawn if there's a closePath() 88 // So, we store the path elements that make up the first dash in the 89 // buffer below. 90 private float[] firstSegmentsBuffer; // dynamic array 91 private int firstSegidx; 92 93 // dashes ref (dirty) 94 final FloatArrayCache.Reference dashes_ref; 95 // firstSegmentsBuffer ref (dirty) 96 final FloatArrayCache.Reference firstSegmentsBuffer_ref; 97 98 // Bounds of the drawing region, at pixel precision. 99 private float[] clipRect; 100 101 // the outcode of the current point 102 private int cOutCode = 0; 103 104 private boolean subdivide = DO_CLIP_SUBDIVIDER; 105 106 private final LengthIterator li = new LengthIterator(); 107 108 private final CurveClipSplitter curveSplitter; 109 110 private float cycleLen; 111 private boolean outside; 112 private float totalSkipLen; 113 114 /** 115 * Constructs a <code>Dasher</code>. 116 * @param rdrCtx per-thread renderer context 117 */ 118 Dasher(final RendererContext rdrCtx) { 119 this.rdrCtx = rdrCtx; 120 121 dashes_ref = rdrCtx.newDirtyFloatArrayRef(INITIAL_ARRAY); // 1K 122 123 firstSegmentsBuffer_ref = rdrCtx.newDirtyFloatArrayRef(INITIAL_ARRAY); // 1K 124 firstSegmentsBuffer = firstSegmentsBuffer_ref.initial; 125 126 // we need curCurvepts to be able to contain 2 curves because when 127 // dashing curves, we need to subdivide it 128 curCurvepts = new float[8 * 2]; 129 130 this.curveSplitter = rdrCtx.curveClipSplitter; 131 } 132 133 /** 134 * Initialize the <code>Dasher</code>. 135 * 136 * @param out an output <code>PathConsumer2D</code>. 137 * @param dash an array of <code>float</code>s containing the dash pattern 138 * @param dashLen length of the given dash array 139 * @param phase a <code>float</code> containing the dash phase 140 * @param recycleDashes true to indicate to recycle the given dash array 141 * @return this instance 142 */ 143 Dasher init(final PathConsumer2D out, final float[] dash, final int dashLen, 144 float phase, final boolean recycleDashes) 145 { 146 this.out = out; 147 148 // Normalize so 0 <= phase < dash[0] 149 int sidx = 0; 150 dashOn = true; 151 152 // note: BasicStroke constructor checks dash elements and sum > 0 153 float sum = 0.0f; 154 for (int i = 0; i < dashLen; i++) { 155 sum += dash[i]; 156 } 157 this.cycleLen = sum; 158 159 float cycles = phase / sum; 160 if (phase < 0.0f) { 161 if (-cycles >= MAX_CYCLES) { 162 phase = 0.0f; 163 } else { 164 int fullcycles = FloatMath.floor_int(-cycles); 165 if ((fullcycles & dashLen & 1) != 0) { 166 dashOn = !dashOn; 167 } 168 phase += fullcycles * sum; 169 while (phase < 0.0f) { 170 if (--sidx < 0) { 171 sidx = dashLen - 1; 172 } 173 phase += dash[sidx]; 174 dashOn = !dashOn; 175 } 176 } 177 } else if (phase > 0.0f) { 178 if (cycles >= MAX_CYCLES) { 179 phase = 0.0f; 180 } else { 181 int fullcycles = FloatMath.floor_int(cycles); 182 if ((fullcycles & dashLen & 1) != 0) { 183 dashOn = !dashOn; 184 } 185 phase -= fullcycles * sum; 186 float d; 187 while (phase >= (d = dash[sidx])) { 188 phase -= d; 189 sidx = (sidx + 1) % dashLen; 190 dashOn = !dashOn; 191 } 192 } 193 } 194 195 this.dash = dash; 196 this.dashLen = dashLen; 197 this.phase = phase; 198 this.startPhase = phase; 199 this.startDashOn = dashOn; 200 this.startIdx = sidx; 201 this.starting = true; 202 this.needsMoveTo = false; 203 this.firstSegidx = 0; 204 205 this.recycleDashes = recycleDashes; 206 207 if (rdrCtx.doClip) { 208 this.clipRect = rdrCtx.clipRect; 209 } else { 210 this.clipRect = null; 211 this.cOutCode = 0; 212 } 213 return this; // fluent API 214 } 215 216 /** 217 * Disposes this dasher: 218 * clean up before reusing this instance 219 */ 220 void dispose() { 221 if (DO_CLEAN_DIRTY) { 222 // Force zero-fill dirty arrays: 223 Arrays.fill(curCurvepts, 0.0f); 224 } 225 // Return arrays: 226 if (recycleDashes) { 227 dash = dashes_ref.putArray(dash); 228 } 229 firstSegmentsBuffer = firstSegmentsBuffer_ref.putArray(firstSegmentsBuffer); 230 } 231 232 float[] copyDashArray(final float[] dashes) { 233 final int len = dashes.length; 234 final float[] newDashes; 235 if (len <= MarlinConst.INITIAL_ARRAY) { 236 newDashes = dashes_ref.initial; 237 } else { 238 if (DO_STATS) { 239 rdrCtx.stats.stat_array_dasher_dasher.add(len); 240 } 241 newDashes = dashes_ref.getArray(len); 242 } 243 System.arraycopy(dashes, 0, newDashes, 0, len); 244 return newDashes; 245 } 246 247 @Override 248 public void moveTo(final float x0, final float y0) { 249 if (firstSegidx != 0) { 250 out.moveTo(sx0, sy0); 251 emitFirstSegments(); 252 } 253 this.needsMoveTo = true; 254 this.idx = startIdx; 255 this.dashOn = this.startDashOn; 256 this.phase = this.startPhase; 257 this.cx0 = x0; 258 this.cy0 = y0; 259 260 // update starting point: 261 this.sx0 = x0; 262 this.sy0 = y0; 263 this.starting = true; 264 265 if (clipRect != null) { 266 final int outcode = Helpers.outcode(x0, y0, clipRect); 267 this.cOutCode = outcode; 268 this.outside = false; 269 this.totalSkipLen = 0.0f; 270 } 271 } 272 273 private void emitSeg(float[] buf, int off, int type) { 274 switch (type) { 275 case 4: 276 out.lineTo(buf[off], buf[off + 1]); 277 return; 278 case 8: 279 out.curveTo(buf[off ], buf[off + 1], 280 buf[off + 2], buf[off + 3], 281 buf[off + 4], buf[off + 5]); 282 return; 283 case 6: 284 out.quadTo(buf[off ], buf[off + 1], 285 buf[off + 2], buf[off + 3]); 286 return; 287 default: 288 } 289 } 290 291 private void emitFirstSegments() { 292 final float[] fSegBuf = firstSegmentsBuffer; 293 294 for (int i = 0, len = firstSegidx; i < len; ) { 295 int type = (int)fSegBuf[i]; 296 emitSeg(fSegBuf, i + 1, type); 297 i += (type - 1); 298 } 299 firstSegidx = 0; 300 } 301 302 // precondition: pts must be in relative coordinates (relative to x0,y0) 303 private void goTo(final float[] pts, final int off, final int type, 304 final boolean on) 305 { 306 final int index = off + type; 307 final float x = pts[index - 4]; 308 final float y = pts[index - 3]; 309 310 if (on) { 311 if (starting) { 312 goTo_starting(pts, off, type); 313 } else { 314 if (needsMoveTo) { 315 needsMoveTo = false; 316 out.moveTo(cx0, cy0); 317 } 318 emitSeg(pts, off, type); 319 } 320 } else { 321 if (starting) { 322 // low probability test (hotspot) 323 starting = false; 324 } 325 needsMoveTo = true; 326 } 327 this.cx0 = x; 328 this.cy0 = y; 329 } 330 331 private void goTo_starting(final float[] pts, final int off, final int type) { 332 int len = type - 1; // - 2 + 1 333 int segIdx = firstSegidx; 334 float[] buf = firstSegmentsBuffer; 335 336 if (segIdx + len > buf.length) { 337 if (DO_STATS) { 338 rdrCtx.stats.stat_array_dasher_firstSegmentsBuffer 339 .add(segIdx + len); 340 } 341 firstSegmentsBuffer = buf 342 = firstSegmentsBuffer_ref.widenArray(buf, segIdx, 343 segIdx + len); 344 } 345 buf[segIdx++] = type; 346 len--; 347 // small arraycopy (2, 4 or 6) but with offset: 348 System.arraycopy(pts, off, buf, segIdx, len); 349 firstSegidx = segIdx + len; 350 } 351 352 @Override 353 public void lineTo(final float x1, final float y1) { 354 final int outcode0 = this.cOutCode; 355 356 if (clipRect != null) { 357 final int outcode1 = Helpers.outcode(x1, y1, clipRect); 358 359 // Should clip 360 final int orCode = (outcode0 | outcode1); 361 362 if (orCode != 0) { 363 final int sideCode = outcode0 & outcode1; 364 365 // basic rejection criteria: 366 if (sideCode == 0) { 367 // overlap clip: 368 if (subdivide) { 369 // avoid reentrance 370 subdivide = false; 371 // subdivide curve => callback with subdivided parts: 372 boolean ret = curveSplitter.splitLine(cx0, cy0, x1, y1, 373 orCode, this); 374 // reentrance is done: 375 subdivide = true; 376 if (ret) { 377 return; 378 } 379 } 380 // already subdivided so render it 381 } else { 382 this.cOutCode = outcode1; 383 skipLineTo(x1, y1); 384 return; 385 } 386 } 387 388 this.cOutCode = outcode1; 389 390 if (this.outside) { 391 this.outside = false; 392 // Adjust current index, phase & dash: 393 skipLen(); 394 } 395 } 396 _lineTo(x1, y1); 397 } 398 399 private void _lineTo(final float x1, final float y1) { 400 final float dx = x1 - cx0; 401 final float dy = y1 - cy0; 402 403 float len = dx * dx + dy * dy; 404 if (len == 0.0f) { 405 return; 406 } 407 len = (float) Math.sqrt(len); 408 409 // The scaling factors needed to get the dx and dy of the 410 // transformed dash segments. 411 final float cx = dx / len; 412 final float cy = dy / len; 413 414 final float[] _curCurvepts = curCurvepts; 415 final float[] _dash = dash; 416 final int _dashLen = this.dashLen; 417 418 int _idx = idx; 419 boolean _dashOn = dashOn; 420 float _phase = phase; 421 422 float leftInThisDashSegment, rem; 423 424 while (true) { 425 leftInThisDashSegment = _dash[_idx] - _phase; 426 rem = len - leftInThisDashSegment; 427 428 if (rem <= EPS) { 429 _curCurvepts[0] = x1; 430 _curCurvepts[1] = y1; 431 432 goTo(_curCurvepts, 0, 4, _dashOn); 433 434 // Advance phase within current dash segment 435 _phase += len; 436 437 // compare values using epsilon: 438 if (Math.abs(rem) <= EPS) { 439 _phase = 0.0f; 440 _idx = (_idx + 1) % _dashLen; 441 _dashOn = !_dashOn; 442 } 443 break; 444 } 445 446 _curCurvepts[0] = cx0 + leftInThisDashSegment * cx; 447 _curCurvepts[1] = cy0 + leftInThisDashSegment * cy; 448 449 goTo(_curCurvepts, 0, 4, _dashOn); 450 451 len = rem; 452 // Advance to next dash segment 453 _idx = (_idx + 1) % _dashLen; 454 _dashOn = !_dashOn; 455 _phase = 0.0f; 456 } 457 // Save local state: 458 idx = _idx; 459 dashOn = _dashOn; 460 phase = _phase; 461 } 462 463 private void skipLineTo(final float x1, final float y1) { 464 final float dx = x1 - cx0; 465 final float dy = y1 - cy0; 466 467 float len = dx * dx + dy * dy; 468 if (len != 0.0f) { 469 len = (float)Math.sqrt(len); 470 } 471 472 // Accumulate skipped length: 473 this.outside = true; 474 this.totalSkipLen += len; 475 476 // Fix initial move: 477 this.needsMoveTo = true; 478 this.starting = false; 479 480 this.cx0 = x1; 481 this.cy0 = y1; 482 } 483 484 public void skipLen() { 485 float len = this.totalSkipLen; 486 this.totalSkipLen = 0.0f; 487 488 final float[] _dash = dash; 489 final int _dashLen = this.dashLen; 490 491 int _idx = idx; 492 boolean _dashOn = dashOn; 493 float _phase = phase; 494 495 // -2 to ensure having 2 iterations of the post-loop 496 // to compensate the remaining phase 497 final long fullcycles = (long)Math.floor(len / cycleLen) - 2L; 498 499 if (fullcycles > 0L) { 500 len -= cycleLen * fullcycles; 501 502 final long iterations = fullcycles * _dashLen; 503 _idx = (int) (iterations + _idx) % _dashLen; 504 _dashOn = (iterations + (_dashOn ? 1L : 0L) & 1L) == 1L; 505 } 506 507 float leftInThisDashSegment, rem; 508 509 while (true) { 510 leftInThisDashSegment = _dash[_idx] - _phase; 511 rem = len - leftInThisDashSegment; 512 513 if (rem <= EPS) { 514 // Advance phase within current dash segment 515 _phase += len; 516 517 // compare values using epsilon: 518 if (Math.abs(rem) <= EPS) { 519 _phase = 0.0f; 520 _idx = (_idx + 1) % _dashLen; 521 _dashOn = !_dashOn; 522 } 523 break; 524 } 525 526 len = rem; 527 // Advance to next dash segment 528 _idx = (_idx + 1) % _dashLen; 529 _dashOn = !_dashOn; 530 _phase = 0.0f; 531 } 532 // Save local state: 533 idx = _idx; 534 dashOn = _dashOn; 535 phase = _phase; 536 } 537 538 // preconditions: curCurvepts must be an array of length at least 2 * type, 539 // that contains the curve we want to dash in the first type elements 540 private void somethingTo(final int type) { 541 final float[] _curCurvepts = curCurvepts; 542 if (pointCurve(_curCurvepts, type)) { 543 return; 544 } 545 final LengthIterator _li = li; 546 final float[] _dash = dash; 547 final int _dashLen = this.dashLen; 548 549 _li.initializeIterationOnCurve(_curCurvepts, type); 550 551 int _idx = idx; 552 boolean _dashOn = dashOn; 553 float _phase = phase; 554 555 // initially the current curve is at curCurvepts[0...type] 556 int curCurveoff = 0; 557 float prevT = 0.0f; 558 float t; 559 float leftInThisDashSegment = _dash[_idx] - _phase; 560 561 while ((t = _li.next(leftInThisDashSegment)) < 1.0f) { 562 if (t != 0.0f) { 563 Helpers.subdivideAt((t - prevT) / (1.0f - prevT), 564 _curCurvepts, curCurveoff, 565 _curCurvepts, 0, type); 566 prevT = t; 567 goTo(_curCurvepts, 2, type, _dashOn); 568 curCurveoff = type; 569 } 570 // Advance to next dash segment 571 _idx = (_idx + 1) % _dashLen; 572 _dashOn = !_dashOn; 573 _phase = 0.0f; 574 leftInThisDashSegment = _dash[_idx]; 575 } 576 577 goTo(_curCurvepts, curCurveoff + 2, type, _dashOn); 578 579 _phase += _li.lastSegLen(); 580 581 // compare values using epsilon: 582 if (_phase + EPS >= _dash[_idx]) { 583 _phase = 0.0f; 584 _idx = (_idx + 1) % _dashLen; 585 _dashOn = !_dashOn; 586 } 587 // Save local state: 588 idx = _idx; 589 dashOn = _dashOn; 590 phase = _phase; 591 592 // reset LengthIterator: 593 _li.reset(); 594 } 595 596 private void skipSomethingTo(final int type) { 597 final float[] _curCurvepts = curCurvepts; 598 if (pointCurve(_curCurvepts, type)) { 599 return; 600 } 601 final LengthIterator _li = li; 602 603 _li.initializeIterationOnCurve(_curCurvepts, type); 604 605 // In contrary to somethingTo(), 606 // just estimate properly the curve length: 607 final float len = _li.totalLength(); 608 609 // Accumulate skipped length: 610 this.outside = true; 611 this.totalSkipLen += len; 612 613 // Fix initial move: 614 this.needsMoveTo = true; 615 this.starting = false; 616 } 617 618 private static boolean pointCurve(final float[] curve, final int type) { 619 for (int i = 2; i < type; i++) { 620 if (curve[i] != curve[i-2]) { 621 return false; 622 } 623 } 624 return true; 625 } 626 627 // Objects of this class are used to iterate through curves. They return 628 // t values where the left side of the curve has a specified length. 629 // It does this by subdividing the input curve until a certain error 630 // condition has been met. A recursive subdivision procedure would 631 // return as many as 1<<limit curves, but this is an iterator and we 632 // don't need all the curves all at once, so what we carry out a 633 // lazy inorder traversal of the recursion tree (meaning we only move 634 // through the tree when we need the next subdivided curve). This saves 635 // us a lot of memory because at any one time we only need to store 636 // limit+1 curves - one for each level of the tree + 1. 637 // NOTE: the way we do things here is not enough to traverse a general 638 // tree; however, the trees we are interested in have the property that 639 // every non leaf node has exactly 2 children 640 static final class LengthIterator { 641 // Holds the curves at various levels of the recursion. The root 642 // (i.e. the original curve) is at recCurveStack[0] (but then it 643 // gets subdivided, the left half is put at 1, so most of the time 644 // only the right half of the original curve is at 0) 645 private final float[][] recCurveStack; // dirty 646 // sidesRight[i] indicates whether the node at level i+1 in the path from 647 // the root to the current leaf is a left or right child of its parent. 648 private final boolean[] sidesRight; // dirty 649 private int curveType; 650 // lastT and nextT delimit the current leaf. 651 private float nextT; 652 private float lenAtNextT; 653 private float lastT; 654 private float lenAtLastT; 655 private float lenAtLastSplit; 656 private float lastSegLen; 657 // the current level in the recursion tree. 0 is the root. limit 658 // is the deepest possible leaf. 659 private int recLevel; 660 private boolean done; 661 662 // the lengths of the lines of the control polygon. Only its first 663 // curveType/2 - 1 elements are valid. This is an optimization. See 664 // next() for more detail. 665 private final float[] curLeafCtrlPolyLengths = new float[3]; 666 667 LengthIterator() { 668 this.recCurveStack = new float[REC_LIMIT + 1][8]; 669 this.sidesRight = new boolean[REC_LIMIT]; 670 // if any methods are called without first initializing this object 671 // on a curve, we want it to fail ASAP. 672 this.nextT = Float.MAX_VALUE; 673 this.lenAtNextT = Float.MAX_VALUE; 674 this.lenAtLastSplit = Float.MIN_VALUE; 675 this.recLevel = Integer.MIN_VALUE; 676 this.lastSegLen = Float.MAX_VALUE; 677 this.done = true; 678 } 679 680 /** 681 * Reset this LengthIterator. 682 */ 683 void reset() { 684 // keep data dirty 685 // as it appears not useful to reset data: 686 if (DO_CLEAN_DIRTY) { 687 final int recLimit = recCurveStack.length - 1; 688 for (int i = recLimit; i >= 0; i--) { 689 Arrays.fill(recCurveStack[i], 0.0f); 690 } 691 Arrays.fill(sidesRight, false); 692 Arrays.fill(curLeafCtrlPolyLengths, 0.0f); 693 Arrays.fill(nextRoots, 0.0f); 694 Arrays.fill(flatLeafCoefCache, 0.0f); 695 flatLeafCoefCache[2] = -1.0f; 696 } 697 } 698 699 void initializeIterationOnCurve(final float[] pts, final int type) { 700 // optimize arraycopy (8 values faster than 6 = type): 701 System.arraycopy(pts, 0, recCurveStack[0], 0, 8); 702 this.curveType = type; 703 this.recLevel = 0; 704 this.lastT = 0.0f; 705 this.lenAtLastT = 0.0f; 706 this.nextT = 0.0f; 707 this.lenAtNextT = 0.0f; 708 goLeft(); // initializes nextT and lenAtNextT properly 709 this.lenAtLastSplit = 0.0f; 710 if (recLevel > 0) { 711 this.sidesRight[0] = false; 712 this.done = false; 713 } else { 714 // the root of the tree is a leaf so we're done. 715 this.sidesRight[0] = true; 716 this.done = true; 717 } 718 this.lastSegLen = 0.0f; 719 } 720 721 // 0 == false, 1 == true, -1 == invalid cached value. 722 private int cachedHaveLowAcceleration = -1; 723 724 private boolean haveLowAcceleration(final float err) { 725 if (cachedHaveLowAcceleration == -1) { 726 final float len1 = curLeafCtrlPolyLengths[0]; 727 final float len2 = curLeafCtrlPolyLengths[1]; 728 // the test below is equivalent to !within(len1/len2, 1, err). 729 // It is using a multiplication instead of a division, so it 730 // should be a bit faster. 731 if (!Helpers.within(len1, len2, err * len2)) { 732 cachedHaveLowAcceleration = 0; 733 return false; 734 } 735 if (curveType == 8) { 736 final float len3 = curLeafCtrlPolyLengths[2]; 737 // if len1 is close to 2 and 2 is close to 3, that probably 738 // means 1 is close to 3 so the second part of this test might 739 // not be needed, but it doesn't hurt to include it. 740 final float errLen3 = err * len3; 741 if (!(Helpers.within(len2, len3, errLen3) && 742 Helpers.within(len1, len3, errLen3))) { 743 cachedHaveLowAcceleration = 0; 744 return false; 745 } 746 } 747 cachedHaveLowAcceleration = 1; 748 return true; 749 } 750 751 return (cachedHaveLowAcceleration == 1); 752 } 753 754 // we want to avoid allocations/gc so we keep this array so we 755 // can put roots in it, 756 private final float[] nextRoots = new float[4]; 757 758 // caches the coefficients of the current leaf in its flattened 759 // form (see inside next() for what that means). The cache is 760 // invalid when it's third element is negative, since in any 761 // valid flattened curve, this would be >= 0. 762 private final float[] flatLeafCoefCache = new float[]{0.0f, 0.0f, -1.0f, 0.0f}; 763 764 // returns the t value where the remaining curve should be split in 765 // order for the left subdivided curve to have length len. If len 766 // is >= than the length of the uniterated curve, it returns 1. 767 float next(final float len) { 768 final float targetLength = lenAtLastSplit + len; 769 while (lenAtNextT < targetLength) { 770 if (done) { 771 lastSegLen = lenAtNextT - lenAtLastSplit; 772 return 1.0f; 773 } 774 goToNextLeaf(); 775 } 776 lenAtLastSplit = targetLength; 777 final float leaflen = lenAtNextT - lenAtLastT; 778 float t = (targetLength - lenAtLastT) / leaflen; 779 780 // cubicRootsInAB is a fairly expensive call, so we just don't do it 781 // if the acceleration in this section of the curve is small enough. 782 if (!haveLowAcceleration(0.05f)) { 783 // We flatten the current leaf along the x axis, so that we're 784 // left with a, b, c which define a 1D Bezier curve. We then 785 // solve this to get the parameter of the original leaf that 786 // gives us the desired length. 787 final float[] _flatLeafCoefCache = flatLeafCoefCache; 788 789 if (_flatLeafCoefCache[2] < 0.0f) { 790 float x = curLeafCtrlPolyLengths[0], 791 y = x + curLeafCtrlPolyLengths[1]; 792 if (curveType == 8) { 793 float z = y + curLeafCtrlPolyLengths[2]; 794 _flatLeafCoefCache[0] = 3.0f * (x - y) + z; 795 _flatLeafCoefCache[1] = 3.0f * (y - 2.0f * x); 796 _flatLeafCoefCache[2] = 3.0f * x; 797 _flatLeafCoefCache[3] = -z; 798 } else if (curveType == 6) { 799 _flatLeafCoefCache[0] = 0.0f; 800 _flatLeafCoefCache[1] = y - 2.0f * x; 801 _flatLeafCoefCache[2] = 2.0f * x; 802 _flatLeafCoefCache[3] = -y; 803 } 804 } 805 float a = _flatLeafCoefCache[0]; 806 float b = _flatLeafCoefCache[1]; 807 float c = _flatLeafCoefCache[2]; 808 float d = t * _flatLeafCoefCache[3]; 809 810 // we use cubicRootsInAB here, because we want only roots in 0, 1, 811 // and our quadratic root finder doesn't filter, so it's just a 812 // matter of convenience. 813 final int n = Helpers.cubicRootsInAB(a, b, c, d, nextRoots, 0, 0.0f, 1.0f); 814 if (n == 1 && !Float.isNaN(nextRoots[0])) { 815 t = nextRoots[0]; 816 } 817 } 818 // t is relative to the current leaf, so we must make it a valid parameter 819 // of the original curve. 820 t = t * (nextT - lastT) + lastT; 821 if (t >= 1.0f) { 822 t = 1.0f; 823 done = true; 824 } 825 // even if done = true, if we're here, that means targetLength 826 // is equal to, or very, very close to the total length of the 827 // curve, so lastSegLen won't be too high. In cases where len 828 // overshoots the curve, this method will exit in the while 829 // loop, and lastSegLen will still be set to the right value. 830 lastSegLen = len; 831 return t; 832 } 833 834 float totalLength() { 835 while (!done) { 836 goToNextLeaf(); 837 } 838 // reset LengthIterator: 839 reset(); 840 841 return lenAtNextT; 842 } 843 844 float lastSegLen() { 845 return lastSegLen; 846 } 847 848 // go to the next leaf (in an inorder traversal) in the recursion tree 849 // preconditions: must be on a leaf, and that leaf must not be the root. 850 private void goToNextLeaf() { 851 // We must go to the first ancestor node that has an unvisited 852 // right child. 853 final boolean[] _sides = sidesRight; 854 int _recLevel = recLevel; 855 _recLevel--; 856 857 while(_sides[_recLevel]) { 858 if (_recLevel == 0) { 859 recLevel = 0; 860 done = true; 861 return; 862 } 863 _recLevel--; 864 } 865 866 _sides[_recLevel] = true; 867 // optimize arraycopy (8 values faster than 6 = type): 868 System.arraycopy(recCurveStack[_recLevel++], 0, 869 recCurveStack[_recLevel], 0, 8); 870 recLevel = _recLevel; 871 goLeft(); 872 } 873 874 // go to the leftmost node from the current node. Return its length. 875 private void goLeft() { 876 final float len = onLeaf(); 877 if (len >= 0.0f) { 878 lastT = nextT; 879 lenAtLastT = lenAtNextT; 880 nextT += (1 << (REC_LIMIT - recLevel)) * MIN_T_INC; 881 lenAtNextT += len; 882 // invalidate caches 883 flatLeafCoefCache[2] = -1.0f; 884 cachedHaveLowAcceleration = -1; 885 } else { 886 Helpers.subdivide(recCurveStack[recLevel], 887 recCurveStack[recLevel + 1], 888 recCurveStack[recLevel], curveType); 889 890 sidesRight[recLevel] = false; 891 recLevel++; 892 goLeft(); 893 } 894 } 895 896 // this is a bit of a hack. It returns -1 if we're not on a leaf, and 897 // the length of the leaf if we are on a leaf. 898 private float onLeaf() { 899 final float[] curve = recCurveStack[recLevel]; 900 final int _curveType = curveType; 901 float polyLen = 0.0f; 902 903 float x0 = curve[0], y0 = curve[1]; 904 for (int i = 2; i < _curveType; i += 2) { 905 final float x1 = curve[i], y1 = curve[i + 1]; 906 final float len = Helpers.linelen(x0, y0, x1, y1); 907 polyLen += len; 908 curLeafCtrlPolyLengths[(i >> 1) - 1] = len; 909 x0 = x1; 910 y0 = y1; 911 } 912 913 final float lineLen = Helpers.linelen(curve[0], curve[1], x0, y0); 914 915 if ((polyLen - lineLen) < CURVE_LEN_ERR || recLevel == REC_LIMIT) { 916 return (polyLen + lineLen) / 2.0f; 917 } 918 return -1.0f; 919 } 920 } 921 922 @Override 923 public void curveTo(final float x1, final float y1, 924 final float x2, final float y2, 925 final float x3, final float y3) 926 { 927 final int outcode0 = this.cOutCode; 928 929 if (clipRect != null) { 930 final int outcode1 = Helpers.outcode(x1, y1, clipRect); 931 final int outcode2 = Helpers.outcode(x2, y2, clipRect); 932 final int outcode3 = Helpers.outcode(x3, y3, clipRect); 933 934 // Should clip 935 final int orCode = (outcode0 | outcode1 | outcode2 | outcode3); 936 if (orCode != 0) { 937 final int sideCode = outcode0 & outcode1 & outcode2 & outcode3; 938 939 // basic rejection criteria: 940 if (sideCode == 0) { 941 // overlap clip: 942 if (subdivide) { 943 // avoid reentrance 944 subdivide = false; 945 // subdivide curve => callback with subdivided parts: 946 boolean ret = curveSplitter.splitCurve(cx0, cy0, x1, y1, x2, y2, x3, y3, 947 orCode, this); 948 // reentrance is done: 949 subdivide = true; 950 if (ret) { 951 return; 952 } 953 } 954 // already subdivided so render it 955 } else { 956 this.cOutCode = outcode3; 957 skipCurveTo(x1, y1, x2, y2, x3, y3); 958 return; 959 } 960 } 961 962 this.cOutCode = outcode3; 963 964 if (this.outside) { 965 this.outside = false; 966 // Adjust current index, phase & dash: 967 skipLen(); 968 } 969 } 970 _curveTo(x1, y1, x2, y2, x3, y3); 971 } 972 973 private void _curveTo(final float x1, final float y1, 974 final float x2, final float y2, 975 final float x3, final float y3) 976 { 977 final float[] _curCurvepts = curCurvepts; 978 979 // monotonize curve: 980 final CurveBasicMonotonizer monotonizer 981 = rdrCtx.monotonizer.curve(cx0, cy0, x1, y1, x2, y2, x3, y3); 982 983 final int nSplits = monotonizer.nbSplits; 984 final float[] mid = monotonizer.middle; 985 986 for (int i = 0, off = 0; i <= nSplits; i++, off += 6) { 987 // optimize arraycopy (8 values faster than 6 = type): 988 System.arraycopy(mid, off, _curCurvepts, 0, 8); 989 990 somethingTo(8); 991 } 992 } 993 994 private void skipCurveTo(final float x1, final float y1, 995 final float x2, final float y2, 996 final float x3, final float y3) 997 { 998 final float[] _curCurvepts = curCurvepts; 999 _curCurvepts[0] = cx0; _curCurvepts[1] = cy0; 1000 _curCurvepts[2] = x1; _curCurvepts[3] = y1; 1001 _curCurvepts[4] = x2; _curCurvepts[5] = y2; 1002 _curCurvepts[6] = x3; _curCurvepts[7] = y3; 1003 1004 skipSomethingTo(8); 1005 1006 this.cx0 = x3; 1007 this.cy0 = y3; 1008 } 1009 1010 @Override 1011 public void quadTo(final float x1, final float y1, 1012 final float x2, final float y2) 1013 { 1014 final int outcode0 = this.cOutCode; 1015 1016 if (clipRect != null) { 1017 final int outcode1 = Helpers.outcode(x1, y1, clipRect); 1018 final int outcode2 = Helpers.outcode(x2, y2, clipRect); 1019 1020 // Should clip 1021 final int orCode = (outcode0 | outcode1 | outcode2); 1022 if (orCode != 0) { 1023 final int sideCode = outcode0 & outcode1 & outcode2; 1024 1025 // basic rejection criteria: 1026 if (sideCode == 0) { 1027 // overlap clip: 1028 if (subdivide) { 1029 // avoid reentrance 1030 subdivide = false; 1031 // subdivide curve => call lineTo() with subdivided curves: 1032 boolean ret = curveSplitter.splitQuad(cx0, cy0, x1, y1, 1033 x2, y2, orCode, this); 1034 // reentrance is done: 1035 subdivide = true; 1036 if (ret) { 1037 return; 1038 } 1039 } 1040 // already subdivided so render it 1041 } else { 1042 this.cOutCode = outcode2; 1043 skipQuadTo(x1, y1, x2, y2); 1044 return; 1045 } 1046 } 1047 1048 this.cOutCode = outcode2; 1049 1050 if (this.outside) { 1051 this.outside = false; 1052 // Adjust current index, phase & dash: 1053 skipLen(); 1054 } 1055 } 1056 _quadTo(x1, y1, x2, y2); 1057 } 1058 1059 private void _quadTo(final float x1, final float y1, 1060 final float x2, final float y2) 1061 { 1062 final float[] _curCurvepts = curCurvepts; 1063 1064 // monotonize quad: 1065 final CurveBasicMonotonizer monotonizer 1066 = rdrCtx.monotonizer.quad(cx0, cy0, x1, y1, x2, y2); 1067 1068 final int nSplits = monotonizer.nbSplits; 1069 final float[] mid = monotonizer.middle; 1070 1071 for (int i = 0, off = 0; i <= nSplits; i++, off += 4) { 1072 // optimize arraycopy (8 values faster than 6 = type): 1073 System.arraycopy(mid, off, _curCurvepts, 0, 8); 1074 1075 somethingTo(6); 1076 } 1077 } 1078 1079 private void skipQuadTo(final float x1, final float y1, 1080 final float x2, final float y2) 1081 { 1082 final float[] _curCurvepts = curCurvepts; 1083 _curCurvepts[0] = cx0; _curCurvepts[1] = cy0; 1084 _curCurvepts[2] = x1; _curCurvepts[3] = y1; 1085 _curCurvepts[4] = x2; _curCurvepts[5] = y2; 1086 1087 skipSomethingTo(6); 1088 1089 this.cx0 = x2; 1090 this.cy0 = y2; 1091 } 1092 1093 @Override 1094 public void closePath() { 1095 if (cx0 != sx0 || cy0 != sy0) { 1096 lineTo(sx0, sy0); 1097 } 1098 if (firstSegidx != 0) { 1099 if (!dashOn || needsMoveTo) { 1100 out.moveTo(sx0, sy0); 1101 } 1102 emitFirstSegments(); 1103 } 1104 moveTo(sx0, sy0); 1105 } 1106 1107 @Override 1108 public void pathDone() { 1109 if (firstSegidx != 0) { 1110 out.moveTo(sx0, sy0); 1111 emitFirstSegments(); 1112 } 1113 out.pathDone(); 1114 1115 // Dispose this instance: 1116 dispose(); 1117 } 1118 1119 @Override 1120 public long getNativeConsumer() { 1121 throw new InternalError("Dasher does not use a native consumer"); 1122 } 1123 } 1124