First version of the iphone client that actually works, for at least a subset
[zxing.git] / cpp / core / src / qrcode / detector / FinderPatternFinder.cpp
diff --git a/cpp/core/src/qrcode/detector/FinderPatternFinder.cpp b/cpp/core/src/qrcode/detector/FinderPatternFinder.cpp
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+/*
+ *  FinderPatternFinder.cpp
+ *  zxing
+ *
+ *  Created by Christian Brunschen on 13/05/2008.
+ *  Copyright 2008 Google Inc. All rights reserved.
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "FinderPatternFinder.h"
+#include "../../ReaderException.h"
+#include <vector>
+#include <cmath>
+
+namespace qrcode {
+  namespace detector {
+    
+    using namespace std;
+    using namespace common;
+    
+    class ClosestToAverageComparator {
+    private:
+      float averageModuleSize_;
+    public:
+      ClosestToAverageComparator(float averageModuleSize) :
+      averageModuleSize_(averageModuleSize) { }
+      int operator()(Ref<FinderPattern> a, Ref<FinderPattern> b) {
+        float dA = abs(a->getEstimatedModuleSize() - averageModuleSize_);
+        float dB = abs(b->getEstimatedModuleSize() - averageModuleSize_);
+        return dA < dB ? -1 : dA > dB ? 1 : 0;
+      }
+    };
+
+    class CenterComparator {
+    public:
+      int operator()(Ref<FinderPattern> a, Ref<FinderPattern> b) {
+        return b->getCount() - a->getCount();
+      }
+    };
+    
+    int FinderPatternFinder::CENTER_QUORUM = 2;
+    int FinderPatternFinder::MIN_SKIP = 3;
+    int FinderPatternFinder::MAX_MODULES = 57;
+    
+    float FinderPatternFinder::centerFromEnd(valarray<int> &stateCount,
+                                             int end) {
+      return (float) (end - stateCount[4] - stateCount[3]) -
+        stateCount[2] / 2.0f;
+    }
+    
+    bool FinderPatternFinder::foundPatternCross(valarray<int> &stateCount) {
+      int totalModuleSize = 0;
+      for (int i = 0; i < 5; i++) {
+        if (stateCount[i] == 0) {
+          return false;
+        }
+        totalModuleSize += stateCount[i];
+      }
+      if (totalModuleSize < 7) {
+        return false;
+      }
+      float moduleSize = (float) totalModuleSize / 7.0f;
+      float maxVariance = moduleSize / 2.0f;
+      // Allow less than 50% variance from 1-1-3-1-1 proportions
+      return abs(moduleSize - stateCount[0]) < maxVariance &&
+        abs(moduleSize - stateCount[1]) < maxVariance &&
+        abs(3.0f * moduleSize - stateCount[2]) < 3.0f * maxVariance &&
+        abs(moduleSize - stateCount[3]) < maxVariance &&
+        abs(moduleSize - stateCount[4]) < maxVariance;
+    }
+    
+    float FinderPatternFinder::crossCheckVertical(size_t startI, size_t centerJ, 
+                                                  int maxCount,
+                                                  int originalStateCountTotal) {
+      
+      int maxI = image_->getHeight();
+      valarray<int> stateCount(5);
+      
+      // Start counting up from center
+      int i = startI;
+      while (i >= 0 && image_->isBlack(centerJ, i)) {
+        stateCount[2]++;
+        i--;
+      }
+      if (i < 0) {
+        return NAN;
+      }
+      while (i >= 0 && !image_->isBlack(centerJ, i) && stateCount[1] <= maxCount) {
+        stateCount[1]++;
+        i--;
+      }
+      // If already too many modules in this state or ran off the edge:
+      if (i < 0 || stateCount[1] > maxCount) {
+        return NAN;
+      }
+      while (i >= 0 && image_->isBlack(centerJ, i) && stateCount[0] <= maxCount) {
+        stateCount[0]++;
+        i--;
+      }
+      if (stateCount[0] > maxCount) {
+        return NAN;
+      }
+      
+      // Now also count down from center
+      i = startI + 1;
+      while (i < maxI && image_->isBlack(centerJ, i)) {
+        stateCount[2]++;
+        i++;
+      }
+      if (i == maxI) {
+        return NAN;
+      }
+      while (i < maxI && !image_->isBlack(centerJ, i) && stateCount[3] < maxCount) {
+        stateCount[3]++;
+        i++;
+      }
+      if (i == maxI || stateCount[3] >= maxCount) {
+        return NAN;
+      }
+      while (i < maxI && image_->isBlack(centerJ, i) && stateCount[4] < maxCount) {
+        stateCount[4]++;
+        i++;
+      }
+      if (stateCount[4] >= maxCount) {
+        return NAN;
+      }
+      
+      // If we found a finder-pattern-like section, but its size is more than 20% different than
+      // the original, assume it's a false positive
+      int stateCountTotal = stateCount[0] + stateCount[1] + stateCount[2] + stateCount[3] + stateCount[4];
+      if (5 * abs(stateCountTotal - originalStateCountTotal) >= originalStateCountTotal) {
+        return NAN;
+      }
+      
+      return foundPatternCross(stateCount) ? centerFromEnd(stateCount, i) : NAN;
+    }
+    
+    float FinderPatternFinder::crossCheckHorizontal(size_t startJ, size_t centerI, 
+                                                    int maxCount,
+                                                    int originalStateCountTotal)
+    {
+      
+      int maxJ = image_->getWidth();
+      valarray<int> stateCount(5);
+      
+      int j = startJ;
+      while (j >= 0 && image_->isBlack(j, centerI)) {
+        stateCount[2]++;
+        j--;
+      }
+      if (j < 0) {
+        return NAN;
+      }
+      while (j >= 0 && !image_->isBlack(j, centerI) && 
+             stateCount[1] <= maxCount) {
+        stateCount[1]++;
+        j--;
+      }
+      if (j < 0 || stateCount[1] > maxCount) {
+        return NAN;
+      }
+      while (j >= 0 && image_->isBlack(j, centerI) && 
+             stateCount[0] <= maxCount) {
+        stateCount[0]++;
+        j--;
+      }
+      if (stateCount[0] > maxCount) {
+        return NAN;
+      }
+      
+      j = startJ + 1;
+      while (j < maxJ && image_->isBlack(j, centerI)) {
+        stateCount[2]++;
+        j++;
+      }
+      if (j == maxJ) {
+        return NAN;
+      }
+      while (j < maxJ && !image_->isBlack(j, centerI) && 
+             stateCount[3] < maxCount) {
+        stateCount[3]++;
+        j++;
+      }
+      if (j == maxJ || stateCount[3] >= maxCount) {
+        return NAN;
+      }
+      while (j < maxJ && image_->isBlack(j, centerI) && stateCount[4] < maxCount) {
+        stateCount[4]++;
+        j++;
+      }
+      if (stateCount[4] >= maxCount) {
+        return NAN;
+      }
+      
+      // If we found a finder-pattern-like section, but its size is significantly different than
+      // the original, assume it's a false positive
+      int stateCountTotal = stateCount[0] + stateCount[1] + stateCount[2] + 
+      stateCount[3] + stateCount[4];
+      if (5 * abs(stateCountTotal - originalStateCountTotal) >= 
+          originalStateCountTotal) {
+        return NAN;
+      }
+      
+      return foundPatternCross(stateCount) ? centerFromEnd(stateCount, j) : NAN;
+    }
+    
+    bool FinderPatternFinder::handlePossibleCenter(valarray<int> &stateCount, 
+                                                   size_t i, size_t j) {
+      int stateCountTotal = stateCount[0] + stateCount[1] + stateCount[2] + 
+        stateCount[3] + stateCount[4];
+      float centerJ = centerFromEnd(stateCount, j);
+      float centerI = crossCheckVertical(i, centerJ, stateCount[2],
+                                         stateCountTotal);
+      if (!isnan(centerI)) {
+        // Re-cross check
+        centerJ = crossCheckHorizontal(centerJ, centerI, stateCount[2],
+                                       stateCountTotal);
+        if (!isnan(centerJ)) {
+          float estimatedModuleSize = (float) stateCountTotal / 7.0f;
+          bool found = false;
+          size_t max = possibleCenters_.size();
+          for (size_t index = 0; index < max; index++) {
+            Ref<FinderPattern> center = possibleCenters_[index];
+            // Look for about the same center and module size:
+            if (center->aboutEquals(estimatedModuleSize, centerI, centerJ)) {
+              center->incrementCount();
+              found = true;
+              break;
+            }
+          }
+          if (!found) {
+            Ref<FinderPattern> newPattern
+              (new FinderPattern(centerJ, centerI, 
+                                 estimatedModuleSize));
+            possibleCenters_.push_back(newPattern);
+          }
+          return true;
+        }
+      }
+      return false;
+    }
+    
+    int FinderPatternFinder::findRowSkip() {
+      size_t max = possibleCenters_.size();
+      if (max <= 1) {
+        return 0;
+      }
+      Ref<FinderPattern> firstConfirmedCenter;
+      for (size_t i = 0; i < max; i++) {
+        Ref<FinderPattern> center = possibleCenters_[i];
+        if (center->getCount() >= CENTER_QUORUM) {
+          if (firstConfirmedCenter == 0) {
+            firstConfirmedCenter = center;
+          } else {
+            // We have two confirmed centers
+            // How far down can we skip before resuming looking for the next
+            // pattern? In the worst case, only the difference between the
+            // difference in the x / y coordinates of the two centers.
+            // This is the case where you find top left first. Draw it out.
+            hasSkipped_ = true;
+            return (int) abs(abs(firstConfirmedCenter->getX() - center->getX()) -
+                             abs(firstConfirmedCenter->getY() - center->getY()));
+          }
+        }
+      }
+      return 0;
+    }
+    
+    bool FinderPatternFinder::haveMultiplyConfirmedCenters() {
+      int confirmedCount = 0;
+      float totalModuleSize = 0.0f;
+      size_t max = possibleCenters_.size();
+      for (size_t i = 0; i < max; i++) {
+        Ref<FinderPattern> pattern = possibleCenters_[i];
+        if (pattern->getCount() >= CENTER_QUORUM) {
+          confirmedCount++;
+          totalModuleSize += pattern->getEstimatedModuleSize();
+        }
+      }
+      if (confirmedCount < 3) {
+        return false;
+      }
+      // OK, we have at least 3 confirmed centers, but, it's possible that one is a "false positive"
+      // and that we need to keep looking. We detect this by asking if the estimated module sizes
+      // vary too much. We arbitrarily say that when the total deviation from average exceeds
+      // 15% of the total module size estimates, it's too much.
+      float average = totalModuleSize / max;
+      float totalDeviation = 0.0f;
+      for (size_t i = 0; i < max; i++) {
+        Ref<FinderPattern> pattern = possibleCenters_[i];
+        totalDeviation += abs(pattern->getEstimatedModuleSize() - average);
+      }
+      return totalDeviation <= 0.15f * totalModuleSize;
+    }
+    
+    ArrayRef<Ref<FinderPattern> > FinderPatternFinder::selectBestPatterns() {
+      sort(possibleCenters_.begin(), possibleCenters_.end(),
+           CenterComparator());
+      size_t size = 0;
+      size_t max = possibleCenters_.size();
+      while (size < max) {
+        if (possibleCenters_[size]->getCount() < CENTER_QUORUM) {
+          break;
+        }
+        size++;
+      }
+      
+      if (size < 3) {
+        // Couldn't find enough finder patterns
+        throw new ReaderException("Could not find three finder patterns");
+      }
+      
+      if (size == 3) {
+        // Found just enough -- hope these are good!
+        Ref<FinderPattern> rawResult[] = {
+          possibleCenters_[0], possibleCenters_[1], possibleCenters_[2]
+        };
+        ArrayRef<Ref<FinderPattern> > result(rawResult, 3);
+        return result;
+      }
+      
+      // Hmm, multiple found. We need to pick the best three. Find the most
+      // popular ones whose module size is nearest the average
+      float averageModuleSize = 0.0f;
+      for (size_t i = 0; i < size; i++) {
+        averageModuleSize += possibleCenters_[i]->getEstimatedModuleSize();
+      }
+      averageModuleSize /= (float) size;
+      
+      sort(possibleCenters_.begin(), possibleCenters_.end(), 
+           ClosestToAverageComparator(averageModuleSize));
+      
+      Ref<FinderPattern> rawResult[] = {
+        possibleCenters_[0], possibleCenters_[1], possibleCenters_[2]
+      };
+      ArrayRef<Ref<FinderPattern> > result(rawResult, 3);
+      return result;
+    }
+    
+    ArrayRef<Ref<FinderPattern> > FinderPatternFinder::orderBestPatterns
+    (ArrayRef<Ref<FinderPattern> > patterns) {
+      // Find distances between pattern centers
+      float abDistance = distance(patterns[0], patterns[1]);
+      float bcDistance = distance(patterns[1], patterns[2]);
+      float acDistance = distance(patterns[0], patterns[2]);
+      
+      Ref<FinderPattern> topLeft;
+      Ref<FinderPattern> topRight;
+      Ref<FinderPattern> bottomLeft;
+      // Assume one closest to other two is top left;
+      // topRight and bottomLeft will just be guesses below at first
+      if (bcDistance >= abDistance && bcDistance >= acDistance) {
+        topLeft = patterns[0];
+        topRight = patterns[1];
+        bottomLeft = patterns[2];
+      } else if (acDistance >= bcDistance && acDistance >= abDistance) {
+        topLeft = patterns[1];
+        topRight = patterns[0];
+        bottomLeft = patterns[2];
+      } else {
+        topLeft = patterns[2];
+        topRight = patterns[0];
+        bottomLeft = patterns[1];
+      }
+      
+      // Use cross product to figure out which of other1/2 is the bottom left
+      // pattern. The vector "top-left -> bottom-left" x "top-left -> top-right"
+      // should yield a vector with positive z component
+      if ((bottomLeft->getY() - topLeft->getY()) * 
+          (topRight->getX() - topLeft->getX()) <
+          (bottomLeft->getX() - topLeft->getX()) * 
+          (topRight->getY() - topLeft->getY())) {
+        Ref<FinderPattern> temp = topRight;
+        topRight = bottomLeft;
+        bottomLeft = temp;
+      }
+      
+      ArrayRef<Ref<FinderPattern> > results(3);
+      results[0] = bottomLeft;
+      results[1] = topLeft;
+      results[2] = topRight;
+      return results;
+    }
+    
+    float FinderPatternFinder::distance(Ref<ResultPoint> p1, 
+                                        Ref<ResultPoint> p2) {
+      float dx = p1->getX() - p2->getX();
+      float dy = p1->getY() - p2->getY();
+      return (float)sqrt(dx*dx + dy*dy);
+    }
+    
+    FinderPatternFinder::FinderPatternFinder(Ref<MonochromeBitmapSource> image)
+    : image_(image), possibleCenters_(), hasSkipped_(false) { 
+    }
+    
+    Ref<FinderPatternInfo> FinderPatternFinder::find() {
+      size_t maxI = image_->getHeight();
+      size_t maxJ = image_->getWidth();
+      
+      // We are looking for black/white/black/white/black modules in
+      // 1:1:3:1:1 ratio; this tracks the number of such modules seen so far
+      valarray<int> stateCount(5);
+      bool done = false;
+      
+      // Let's assume that the maximum version QR Code we support takes up 1/4
+      // the height of the image, and then account for the center being 3
+      // modules in size. This gives the smallest number of pixels the center
+      // could be, so skip this often. When trying harder, look for all
+      // QR versions regardless of how dense they are.
+      size_t iSkip = MIN_SKIP;
+      
+      for (size_t i = iSkip - 1; i < maxI && !done; i += iSkip) {
+        // Get a row of black/white values
+        Ref<BitArray> null;
+        Ref<BitArray> blackRow = image_->getBlackRow(i, null, 0, maxJ);
+        stateCount[0] = 0;
+        stateCount[1] = 0;
+        stateCount[2] = 0;
+        stateCount[3] = 0;
+        stateCount[4] = 0;
+        int currentState = 0;
+        for (size_t j = 0; j < maxJ; j++) {
+          if (blackRow->get(j)) {
+            // Black pixel
+            if ((currentState & 1) == 1) { // Counting white pixels
+              currentState++;
+            }
+            stateCount[currentState]++;
+          } else { // White pixel
+            if ((currentState & 1) == 0) { // Counting black pixels
+              if (currentState == 4) { // A winner?
+                if (foundPatternCross(stateCount)) { // Yes
+                  bool confirmed = handlePossibleCenter(stateCount, i, j);
+                  if (confirmed) {
+                    iSkip = 1; // Go back to examining each line
+                    if (hasSkipped_) {
+                      done = haveMultiplyConfirmedCenters();
+                    } else {
+                      int rowSkip = findRowSkip();
+                      if (rowSkip > stateCount[2]) {
+                        // Skip rows between row of lower confirmed center
+                        // and top of presumed third confirmed center
+                        // but back up a bit to get a full chance of detecting
+                        // it, entire width of center of finder pattern
+                        
+                        // Skip by rowSkip, but back off by stateCount[2] (size
+                        // of last center of pattern we saw) to be conservative,
+                        // and also back off by iSkip which is about to be 
+                        // re-added
+                        i += rowSkip - stateCount[2] - iSkip;
+                        j = maxJ - 1;
+                      }
+                    }
+                  } else {
+                    // Advance to next black pixel
+                    do {
+                      j++;
+                    } while (j < maxJ && !blackRow->get(j));
+                    j--; // back up to that last white pixel
+                  }
+                  // Clear state to start looking again
+                  currentState = 0;
+                  stateCount[0] = 0;
+                  stateCount[1] = 0;
+                  stateCount[2] = 0;
+                  stateCount[3] = 0;
+                  stateCount[4] = 0;
+                } else { // No, shift counts back by two
+                  stateCount[0] = stateCount[2];
+                  stateCount[1] = stateCount[3];
+                  stateCount[2] = stateCount[4];
+                  stateCount[3] = 1;
+                  stateCount[4] = 0;
+                  currentState = 3;
+                }
+              } else {
+                stateCount[++currentState]++;
+              }
+            } else { // Counting white pixels
+              stateCount[currentState]++;
+            }
+          }
+        }
+        if (foundPatternCross(stateCount)) {
+          bool confirmed = handlePossibleCenter(stateCount, i, maxJ);
+          if (confirmed) {
+            iSkip = stateCount[0];
+            if (hasSkipped_) {
+              // Found a third one
+              done = haveMultiplyConfirmedCenters();
+            }
+          }
+        }
+      }
+      
+      ArrayRef<Ref<FinderPattern> > patternInfo = selectBestPatterns();
+      patternInfo = orderBestPatterns(patternInfo);
+      
+      Ref<FinderPatternInfo> result(new FinderPatternInfo(patternInfo));
+      return result;
+    }
+  }
+}