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1 /*
2  * Copyright (C) 2015 The Android Open Source Project
3  *
4  * Licensed under the Apache License, Version 2.0 (the "License");
5  * you may not use this file except in compliance with the License.
6  * You may obtain a copy of the License at
7  *
8  *      http://www.apache.org/licenses/LICENSE-2.0
9  *
10  * Unless required by applicable law or agreed to in writing, software
11  * distributed under the License is distributed on an "AS IS" BASIS,
12  * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
13  * See the License for the specific language governing permissions and
14  * limitations under the License.
15  */
16 
17 #include "OptimalLineBreaker.h"
18 
19 #include <algorithm>
20 #include <limits>
21 
22 #include "minikin/Characters.h"
23 #include "minikin/Layout.h"
24 #include "minikin/Range.h"
25 #include "minikin/U16StringPiece.h"
26 
27 #include "HyphenatorMap.h"
28 #include "LayoutUtils.h"
29 #include "LineBreakerUtil.h"
30 #include "Locale.h"
31 #include "LocaleListCache.h"
32 #include "MinikinInternal.h"
33 #include "WordBreaker.h"
34 
35 namespace minikin {
36 
37 namespace {
38 
39 // Large scores in a hierarchy; we prefer desperate breaks to an overfull line. All these
40 // constants are larger than any reasonable actual width score.
41 constexpr float SCORE_INFTY = std::numeric_limits<float>::max();
42 constexpr float SCORE_OVERFULL = 1e12f;
43 constexpr float SCORE_DESPERATE = 1e10f;
44 
45 // Multiplier for hyphen penalty on last line.
46 constexpr float LAST_LINE_PENALTY_MULTIPLIER = 4.0f;
47 // Penalty assigned to each line break (to try to minimize number of lines)
48 // TODO: when we implement full justification (so spaces can shrink and stretch), this is
49 // probably not the most appropriate method.
50 constexpr float LINE_PENALTY_MULTIPLIER = 2.0f;
51 
52 // Penalty assigned to shrinking the whitepsace.
53 constexpr float SHRINK_PENALTY_MULTIPLIER = 4.0f;
54 
55 // Maximum amount that spaces can shrink, in justified text.
56 constexpr float SHRINKABILITY = 1.0 / 3.0;
57 
58 // A single candidate break
59 struct Candidate {
60     uint32_t offset;  // offset to text buffer, in code units
61 
62     ParaWidth preBreak;       // width of text until this point, if we decide to not break here:
63                               // preBreak is used as an optimized way to calculate the width
64                               // between two candidates. The line width between two line break
65                               // candidates i and j is calculated as postBreak(j) - preBreak(i).
66     ParaWidth postBreak;      // width of text until this point, if we decide to break here
67     float penalty;            // penalty of this break (for example, hyphen penalty)
68     uint32_t preSpaceCount;   // preceding space count before breaking
69     uint32_t postSpaceCount;  // preceding space count after breaking
70     HyphenationType hyphenType;
71     bool isRtl;  // The direction of the bidi run containing or ending in this candidate
72 
Candidateminikin::__anon4ff9ceb80111::Candidate73     Candidate(uint32_t offset, ParaWidth preBreak, ParaWidth postBreak, float penalty,
74               uint32_t preSpaceCount, uint32_t postSpaceCount, HyphenationType hyphenType,
75               bool isRtl)
76             : offset(offset),
77               preBreak(preBreak),
78               postBreak(postBreak),
79               penalty(penalty),
80               preSpaceCount(preSpaceCount),
81               postSpaceCount(postSpaceCount),
82               hyphenType(hyphenType),
83               isRtl(isRtl) {}
84 };
85 
86 // A context of line break optimization.
87 struct OptimizeContext {
88     // The break candidates.
89     std::vector<Candidate> candidates;
90 
91     // The penalty for the number of lines.
92     float linePenalty = 0.0f;
93 
94     // The width of a space. May be 0 if there are no spaces.
95     // Note: if there are multiple different widths for spaces (for example, because of mixing of
96     // fonts), it's only guaranteed to pick one.
97     float spaceWidth = 0.0f;
98 
99     // Append desperate break point to the candidates.
pushDesperateminikin::__anon4ff9ceb80111::OptimizeContext100     inline void pushDesperate(uint32_t offset, ParaWidth sumOfCharWidths, uint32_t spaceCount,
101                               bool isRtl) {
102         candidates.emplace_back(offset, sumOfCharWidths, sumOfCharWidths, SCORE_DESPERATE,
103                                 spaceCount, spaceCount,
104                                 HyphenationType::BREAK_AND_DONT_INSERT_HYPHEN, isRtl);
105     }
106 
107     // Append hyphenation break point to the candidates.
pushHyphenationminikin::__anon4ff9ceb80111::OptimizeContext108     inline void pushHyphenation(uint32_t offset, ParaWidth preBreak, ParaWidth postBreak,
109                                 float penalty, uint32_t spaceCount, HyphenationType type,
110                                 bool isRtl) {
111         candidates.emplace_back(offset, preBreak, postBreak, penalty, spaceCount, spaceCount, type,
112                                 isRtl);
113     }
114 
115     // Append word break point to the candidates.
pushWordBreakminikin::__anon4ff9ceb80111::OptimizeContext116     inline void pushWordBreak(uint32_t offset, ParaWidth preBreak, ParaWidth postBreak,
117                               float penalty, uint32_t preSpaceCount, uint32_t postSpaceCount,
118                               bool isRtl) {
119         candidates.emplace_back(offset, preBreak, postBreak, penalty, preSpaceCount, postSpaceCount,
120                                 HyphenationType::DONT_BREAK, isRtl);
121     }
122 
OptimizeContextminikin::__anon4ff9ceb80111::OptimizeContext123     OptimizeContext() {
124         candidates.emplace_back(0, 0.0f, 0.0f, 0.0f, 0, 0, HyphenationType::DONT_BREAK, false);
125     }
126 };
127 
128 // Compute the penalty for the run and returns penalty for hyphenation and number of lines.
computePenalties(const Run & run,const LineWidth & lineWidth,HyphenationFrequency frequency,bool justified)129 std::pair<float, float> computePenalties(const Run& run, const LineWidth& lineWidth,
130                                          HyphenationFrequency frequency, bool justified) {
131     float linePenalty = 0.0;
132     const MinikinPaint* paint = run.getPaint();
133     // a heuristic that seems to perform well
134     float hyphenPenalty = 0.5 * paint->size * paint->scaleX * lineWidth.getAt(0);
135     if (frequency == HyphenationFrequency::Normal) {
136         hyphenPenalty *= 4.0;  // TODO: Replace with a better value after some testing
137     }
138 
139     if (justified) {
140         // Make hyphenation more aggressive for fully justified text (so that "normal" in
141         // justified mode is the same as "full" in ragged-right).
142         hyphenPenalty *= 0.25;
143     } else {
144         // Line penalty is zero for justified text.
145         linePenalty = hyphenPenalty * LINE_PENALTY_MULTIPLIER;
146     }
147 
148     return std::make_pair(hyphenPenalty, linePenalty);
149 }
150 
151 // Represents a desperate break point.
152 struct DesperateBreak {
153     // The break offset.
154     uint32_t offset;
155 
156     // The sum of the character width from the beginning of the word.
157     ParaWidth sumOfChars;
158 
DesperateBreakminikin::__anon4ff9ceb80111::DesperateBreak159     DesperateBreak(uint32_t offset, ParaWidth sumOfChars)
160             : offset(offset), sumOfChars(sumOfChars){};
161 };
162 
163 // Retrieves desperate break points from a word.
populateDesperatePoints(const MeasuredText & measured,const Range & range)164 std::vector<DesperateBreak> populateDesperatePoints(const MeasuredText& measured,
165                                                     const Range& range) {
166     std::vector<DesperateBreak> out;
167     ParaWidth width = measured.widths[range.getStart()];
168     for (uint32_t i = range.getStart() + 1; i < range.getEnd(); ++i) {
169         const float w = measured.widths[i];
170         if (w == 0) {
171             continue;  // w == 0 means here is not a grapheme bounds. Don't break here.
172         }
173         out.emplace_back(i, width);
174         width += w;
175     }
176     return out;
177 }
178 
179 // Append hyphenation break points and desperate break points.
180 // If an offset is a both candidate for hyphenation and desperate break points, place desperate
181 // break candidate first and hyphenation break points second since the result width of the desperate
182 // break is shorter than hyphenation break.
183 // This is important since DP in computeBreaksOptimal assumes that the result line width is
184 // increased by break offset.
appendWithMerging(std::vector<HyphenBreak>::const_iterator hyIter,std::vector<HyphenBreak>::const_iterator endHyIter,const std::vector<DesperateBreak> & desperates,const CharProcessor & proc,float hyphenPenalty,bool isRtl,OptimizeContext * out)185 void appendWithMerging(std::vector<HyphenBreak>::const_iterator hyIter,
186                        std::vector<HyphenBreak>::const_iterator endHyIter,
187                        const std::vector<DesperateBreak>& desperates, const CharProcessor& proc,
188                        float hyphenPenalty, bool isRtl, OptimizeContext* out) {
189     auto d = desperates.begin();
190     while (hyIter != endHyIter || d != desperates.end()) {
191         // If both hyphen breaks and desperate breaks point to the same offset, push desperate
192         // breaks first.
193         if (d != desperates.end() && (hyIter == endHyIter || d->offset <= hyIter->offset)) {
194             out->pushDesperate(d->offset, proc.sumOfCharWidthsAtPrevWordBreak + d->sumOfChars,
195                                proc.effectiveSpaceCount, isRtl);
196             d++;
197         } else {
198             out->pushHyphenation(hyIter->offset, proc.sumOfCharWidths - hyIter->second,
199                                  proc.sumOfCharWidthsAtPrevWordBreak + hyIter->first, hyphenPenalty,
200                                  proc.effectiveSpaceCount, hyIter->type, isRtl);
201             hyIter++;
202         }
203     }
204 }
205 
206 // Enumerate all line break candidates.
populateCandidates(const U16StringPiece & textBuf,const MeasuredText & measured,const LineWidth & lineWidth,HyphenationFrequency frequency,bool isJustified)207 OptimizeContext populateCandidates(const U16StringPiece& textBuf, const MeasuredText& measured,
208                                    const LineWidth& lineWidth, HyphenationFrequency frequency,
209                                    bool isJustified) {
210     const ParaWidth minLineWidth = lineWidth.getMin();
211     CharProcessor proc(textBuf);
212 
213     OptimizeContext result;
214 
215     const bool doHyphenation = frequency != HyphenationFrequency::None;
216     auto hyIter = std::begin(measured.hyphenBreaks);
217 
218     for (const auto& run : measured.runs) {
219         const bool isRtl = run->isRtl();
220         const Range& range = run->getRange();
221 
222         // Compute penalty parameters.
223         float hyphenPenalty = 0.0f;
224         if (run->canBreak()) {
225             auto penalties = computePenalties(*run, lineWidth, frequency, isJustified);
226             hyphenPenalty = penalties.first;
227             result.linePenalty = std::max(penalties.second, result.linePenalty);
228         }
229 
230         proc.updateLocaleIfNecessary(*run);
231 
232         for (uint32_t i = range.getStart(); i < range.getEnd(); ++i) {
233             MINIKIN_ASSERT(textBuf[i] != CHAR_TAB, "TAB is not supported in optimal line breaker");
234             proc.feedChar(i, textBuf[i], measured.widths[i], run->canBreak());
235 
236             const uint32_t nextCharOffset = i + 1;
237             if (nextCharOffset != proc.nextWordBreak) {
238                 continue;  // Wait until word break point.
239             }
240 
241             // Add hyphenation and desperate break points.
242             std::vector<HyphenBreak> hyphenedBreaks;
243             std::vector<DesperateBreak> desperateBreaks;
244             const Range contextRange = proc.contextRange();
245 
246             auto beginHyIter = hyIter;
247             while (hyIter != std::end(measured.hyphenBreaks) &&
248                    hyIter->offset < contextRange.getEnd()) {
249                 hyIter++;
250             }
251             if (proc.widthFromLastWordBreak() > minLineWidth) {
252                 desperateBreaks = populateDesperatePoints(measured, contextRange);
253             }
254             appendWithMerging(beginHyIter, doHyphenation ? hyIter : beginHyIter, desperateBreaks,
255                               proc, hyphenPenalty, isRtl, &result);
256 
257             // We skip breaks for zero-width characters inside replacement spans.
258             if (run->getPaint() != nullptr || nextCharOffset == range.getEnd() ||
259                 measured.widths[nextCharOffset] > 0) {
260                 const float penalty = hyphenPenalty * proc.wordBreakPenalty();
261                 result.pushWordBreak(nextCharOffset, proc.sumOfCharWidths, proc.effectiveWidth,
262                                      penalty, proc.rawSpaceCount, proc.effectiveSpaceCount, isRtl);
263             }
264         }
265     }
266     result.spaceWidth = proc.spaceWidth;
267     return result;
268 }
269 
270 class LineBreakOptimizer {
271 public:
LineBreakOptimizer()272     LineBreakOptimizer() {}
273 
274     LineBreakResult computeBreaks(const OptimizeContext& context, const U16StringPiece& textBuf,
275                                   const MeasuredText& measuredText, const LineWidth& lineWidth,
276                                   BreakStrategy strategy, bool justified);
277 
278 private:
279     // Data used to compute optimal line breaks
280     struct OptimalBreaksData {
281         float score;          // best score found for this break
282         uint32_t prev;        // index to previous break
283         uint32_t lineNumber;  // the computed line number of the candidate
284     };
285     LineBreakResult finishBreaksOptimal(const U16StringPiece& textBuf, const MeasuredText& measured,
286                                         const std::vector<OptimalBreaksData>& breaksData,
287                                         const std::vector<Candidate>& candidates);
288 };
289 
290 // Follow "prev" links in candidates array, and copy to result arrays.
finishBreaksOptimal(const U16StringPiece & textBuf,const MeasuredText & measured,const std::vector<OptimalBreaksData> & breaksData,const std::vector<Candidate> & candidates)291 LineBreakResult LineBreakOptimizer::finishBreaksOptimal(
292         const U16StringPiece& textBuf, const MeasuredText& measured,
293         const std::vector<OptimalBreaksData>& breaksData,
294         const std::vector<Candidate>& candidates) {
295     LineBreakResult result;
296     const uint32_t nCand = candidates.size();
297     uint32_t prevIndex;
298     for (uint32_t i = nCand - 1; i > 0; i = prevIndex) {
299         prevIndex = breaksData[i].prev;
300         const Candidate& cand = candidates[i];
301         const Candidate& prev = candidates[prevIndex];
302 
303         result.breakPoints.push_back(cand.offset);
304         result.widths.push_back(cand.postBreak - prev.preBreak);
305         MinikinExtent extent = measured.getExtent(textBuf, Range(prev.offset, cand.offset));
306         result.ascents.push_back(extent.ascent);
307         result.descents.push_back(extent.descent);
308 
309         const HyphenEdit edit =
310                 packHyphenEdit(editForNextLine(prev.hyphenType), editForThisLine(cand.hyphenType));
311         result.flags.push_back(static_cast<int>(edit));
312     }
313     result.reverse();
314     return result;
315 }
316 
computeBreaks(const OptimizeContext & context,const U16StringPiece & textBuf,const MeasuredText & measured,const LineWidth & lineWidth,BreakStrategy strategy,bool justified)317 LineBreakResult LineBreakOptimizer::computeBreaks(const OptimizeContext& context,
318                                                   const U16StringPiece& textBuf,
319                                                   const MeasuredText& measured,
320                                                   const LineWidth& lineWidth,
321                                                   BreakStrategy strategy, bool justified) {
322     const std::vector<Candidate>& candidates = context.candidates;
323     uint32_t active = 0;
324     const uint32_t nCand = candidates.size();
325     const float maxShrink = justified ? SHRINKABILITY * context.spaceWidth : 0.0f;
326 
327     std::vector<OptimalBreaksData> breaksData;
328     breaksData.reserve(nCand);
329     breaksData.push_back({0.0, 0, 0});  // The first candidate is always at the first line.
330 
331     // "i" iterates through candidates for the end of the line.
332     for (uint32_t i = 1; i < nCand; i++) {
333         const bool atEnd = i == nCand - 1;
334         float best = SCORE_INFTY;
335         uint32_t bestPrev = 0;
336 
337         uint32_t lineNumberLast = breaksData[active].lineNumber;
338         float width = lineWidth.getAt(lineNumberLast);
339 
340         ParaWidth leftEdge = candidates[i].postBreak - width;
341         float bestHope = 0;
342 
343         // "j" iterates through candidates for the beginning of the line.
344         for (uint32_t j = active; j < i; j++) {
345             const uint32_t lineNumber = breaksData[j].lineNumber;
346             if (lineNumber != lineNumberLast) {
347                 const float widthNew = lineWidth.getAt(lineNumber);
348                 if (widthNew != width) {
349                     leftEdge = candidates[i].postBreak - width;
350                     bestHope = 0;
351                     width = widthNew;
352                 }
353                 lineNumberLast = lineNumber;
354             }
355             const float jScore = breaksData[j].score;
356             if (jScore + bestHope >= best) continue;
357             const float delta = candidates[j].preBreak - leftEdge;
358 
359             // compute width score for line
360 
361             // Note: the "bestHope" optimization makes the assumption that, when delta is
362             // non-negative, widthScore will increase monotonically as successive candidate
363             // breaks are considered.
364             float widthScore = 0.0f;
365             float additionalPenalty = 0.0f;
366             if ((atEnd || !justified) && delta < 0) {
367                 widthScore = SCORE_OVERFULL;
368             } else if (atEnd && strategy != BreakStrategy::Balanced) {
369                 // increase penalty for hyphen on last line
370                 additionalPenalty = LAST_LINE_PENALTY_MULTIPLIER * candidates[j].penalty;
371             } else {
372                 widthScore = delta * delta;
373                 if (delta < 0) {
374                     if (-delta <
375                         maxShrink * (candidates[i].postSpaceCount - candidates[j].preSpaceCount)) {
376                         widthScore *= SHRINK_PENALTY_MULTIPLIER;
377                     } else {
378                         widthScore = SCORE_OVERFULL;
379                     }
380                 }
381             }
382 
383             if (delta < 0) {
384                 active = j + 1;
385             } else {
386                 bestHope = widthScore;
387             }
388 
389             const float score = jScore + widthScore + additionalPenalty;
390             if (score <= best) {
391                 best = score;
392                 bestPrev = j;
393             }
394         }
395         breaksData.push_back({best + candidates[i].penalty + context.linePenalty,  // score
396                               bestPrev,                                            // prev
397                               breaksData[bestPrev].lineNumber + 1});               // lineNumber
398     }
399     return finishBreaksOptimal(textBuf, measured, breaksData, candidates);
400 }
401 
402 }  // namespace
403 
breakLineOptimal(const U16StringPiece & textBuf,const MeasuredText & measured,const LineWidth & lineWidth,BreakStrategy strategy,HyphenationFrequency frequency,bool justified)404 LineBreakResult breakLineOptimal(const U16StringPiece& textBuf, const MeasuredText& measured,
405                                  const LineWidth& lineWidth, BreakStrategy strategy,
406                                  HyphenationFrequency frequency, bool justified) {
407     if (textBuf.size() == 0) {
408         return LineBreakResult();
409     }
410     const OptimizeContext context =
411             populateCandidates(textBuf, measured, lineWidth, frequency, justified);
412     LineBreakOptimizer optimizer;
413     return optimizer.computeBreaks(context, textBuf, measured, lineWidth, strategy, justified);
414 }
415 
416 }  // namespace minikin
417