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- /*
- * Copyright 2012 ZXing authors
- *
- * 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.
- */
-
- #import "ZXAztecDetector.h"
- #import "ZXAztecDetectorResult.h"
- #import "ZXErrors.h"
- #import "ZXGenericGF.h"
- #import "ZXGridSampler.h"
- #import "ZXIntArray.h"
- #import "ZXMathUtils.h"
- #import "ZXReedSolomonDecoder.h"
- #import "ZXResultPoint.h"
- #import "ZXWhiteRectangleDetector.h"
-
- @implementation ZXAztecPoint
-
- - (id)initWithX:(int)x y:(int)y {
- if (self = [super init]) {
- _x = x;
- _y = y;
- }
- return self;
- }
-
- - (ZXResultPoint *)toResultPoint {
- return [[ZXResultPoint alloc] initWithX:self.x y:self.y];
- }
-
- - (NSString *)description {
- return [NSString stringWithFormat:@"<%d %d>", self.x, self.y];
- }
-
- @end
-
- @interface ZXAztecDetector ()
-
- @property (nonatomic, assign, getter = isCompact) BOOL compact;
- @property (nonatomic, strong) ZXBitMatrix *image;
- @property (nonatomic, assign) int nbCenterLayers;
- @property (nonatomic, assign) int nbDataBlocks;
- @property (nonatomic, assign) int nbLayers;
- @property (nonatomic, assign) int shift;
-
- @end
-
- @implementation ZXAztecDetector
-
- - (id)initWithImage:(ZXBitMatrix *)image {
- if (self = [super init]) {
- _image = image;
- }
- return self;
- }
-
- - (ZXAztecDetectorResult *)detectWithError:(NSError **)error {
- return [self detectWithMirror:NO error:error];
- }
-
- - (ZXAztecDetectorResult *)detectWithMirror:(BOOL)isMirror error:(NSError **)error {
- // 1. Get the center of the aztec matrix
- ZXAztecPoint *pCenter = [self matrixCenter];
- if (!pCenter) {
- if (error) *error = ZXNotFoundErrorInstance();
- return nil;
- }
-
- // 2. Get the center points of the four diagonal points just outside the bull's eye
- // [topRight, bottomRight, bottomLeft, topLeft]
- NSMutableArray *bullsEyeCorners = [self bullsEyeCorners:pCenter];
- if (!bullsEyeCorners) {
- if (error) *error = ZXNotFoundErrorInstance();
- return nil;
- }
-
- if (isMirror) {
- ZXResultPoint *temp = bullsEyeCorners[0];
- bullsEyeCorners[0] = bullsEyeCorners[2];
- bullsEyeCorners[2] = temp;
- }
-
- // 3. Get the size of the matrix and other parameters from the bull's eye
- if (![self extractParameters:bullsEyeCorners]) {
- if (error) *error = ZXNotFoundErrorInstance();
- return nil;
- }
-
- // 4. Sample the grid
- ZXBitMatrix *bits = [self sampleGrid:self.image
- topLeft:bullsEyeCorners[self.shift % 4]
- topRight:bullsEyeCorners[(self.shift + 1) % 4]
- bottomRight:bullsEyeCorners[(self.shift + 2) % 4]
- bottomLeft:bullsEyeCorners[(self.shift + 3) % 4]];
- if (!bits) {
- if (error) *error = ZXNotFoundErrorInstance();
- return nil;
- }
-
- // 5. Get the corners of the matrix.
- NSArray *corners = [self matrixCornerPoints:bullsEyeCorners];
- if (!corners) {
- if (error) *error = ZXNotFoundErrorInstance();
- return nil;
- }
-
- return [[ZXAztecDetectorResult alloc] initWithBits:bits
- points:corners
- compact:self.compact
- nbDatablocks:self.nbDataBlocks
- nbLayers:self.nbLayers];
- }
-
-
- /**
- * Extracts the number of data layers and data blocks from the layer around the bull's eye
- */
- - (BOOL)extractParameters:(NSArray *)bullsEyeCorners {
- ZXResultPoint *p0 = bullsEyeCorners[0];
- ZXResultPoint *p1 = bullsEyeCorners[1];
- ZXResultPoint *p2 = bullsEyeCorners[2];
- ZXResultPoint *p3 = bullsEyeCorners[3];
-
- if (![self isValid:p0] || ![self isValid:p1] ||
- ![self isValid:p2] || ![self isValid:p3]) {
- return NO;
- }
- int length = 2 * self.nbCenterLayers;
- // Get the bits around the bull's eye
- int sides[] = {
- [self sampleLine:p0 p2:p1 size:length], // Right side
- [self sampleLine:p1 p2:p2 size:length], // Bottom
- [self sampleLine:p2 p2:p3 size:length], // Left side
- [self sampleLine:p3 p2:p0 size:length] // Top
- };
-
- // bullsEyeCorners[shift] is the corner of the bulls'eye that has three
- // orientation marks.
- // sides[shift] is the row/column that goes from the corner with three
- // orientation marks to the corner with two.
- int shift = [self rotationForSides:sides length:length];
- if (shift == -1) {
- return NO;
- }
- self.shift = shift;
-
- // Flatten the parameter bits into a single 28- or 40-bit long
- long parameterData = 0;
- for (int i = 0; i < 4; i++) {
- int side = sides[(self.shift + i) % 4];
- if (self.isCompact) {
- // Each side of the form ..XXXXXXX. where Xs are parameter data
- parameterData <<= 7;
- parameterData += (side >> 1) & 0x7F;
- } else {
- // Each side of the form ..XXXXX.XXXXX. where Xs are parameter data
- parameterData <<= 10;
- parameterData += ((side >> 2) & (0x1f << 5)) + ((side >> 1) & 0x1F);
- }
- }
-
- // Corrects parameter data using RS. Returns just the data portion
- // without the error correction.
- int correctedData = [self correctedParameterData:parameterData compact:self.isCompact];
- if (correctedData == -1) {
- return NO;
- }
-
- if (self.isCompact) {
- // 8 bits: 2 bits layers and 6 bits data blocks
- self.nbLayers = (correctedData >> 6) + 1;
- self.nbDataBlocks = (correctedData & 0x3F) + 1;
- } else {
- // 16 bits: 5 bits layers and 11 bits data blocks
- self.nbLayers = (correctedData >> 11) + 1;
- self.nbDataBlocks = (correctedData & 0x7FF) + 1;
- }
-
- return YES;
- }
-
- static int expectedCornerBits[] = {
- 0xee0, // 07340 XXX .XX X.. ...
- 0x1dc, // 00734 ... XXX .XX X..
- 0x83b, // 04073 X.. ... XXX .XX
- 0x707, // 03407 .XX X.. ... XXX
- };
-
- static int bitCount(uint32_t i) {
- i = i - ((i >> 1) & 0x55555555);
- i = (i & 0x33333333) + ((i >> 2) & 0x33333333);
- return (((i + (i >> 4)) & 0x0F0F0F0F) * 0x01010101) >> 24;
- }
-
- - (int)rotationForSides:(const int[])sides length:(int)length {
- // In a normal pattern, we expect to See
- // ** .* D A
- // * *
- //
- // . *
- // .. .. C B
- //
- // Grab the 3 bits from each of the sides the form the locator pattern and concatenate
- // into a 12-bit integer. Start with the bit at A
- int cornerBits = 0;
- for (int i = 0; i < 4; i++) {
- int side = sides[i];
- // XX......X where X's are orientation marks
- int t = ((side >> (length - 2)) << 1) + (side & 1);
- cornerBits = (cornerBits << 3) + t;
- }
- // Mov the bottom bit to the top, so that the three bits of the locator pattern at A are
- // together. cornerBits is now:
- // 3 orientation bits at A || 3 orientation bits at B || ... || 3 orientation bits at D
- cornerBits = ((cornerBits & 1) << 11) + (cornerBits >> 1);
- // The result shift indicates which element of BullsEyeCorners[] goes into the top-left
- // corner. Since the four rotation values have a Hamming distance of 8, we
- // can easily tolerate two errors.
- for (int shift = 0; shift < 4; shift++) {
- if (bitCount(cornerBits ^ expectedCornerBits[shift]) <= 2) {
- return shift;
- }
- }
- return -1;
- }
-
- /**
- * Corrects the parameter bits using Reed-Solomon algorithm.
- *
- * @param parameterData parameter bits
- * @param compact true if this is a compact Aztec code
- * @return -1 if the array contains too many errors
- */
- - (int)correctedParameterData:(long)parameterData compact:(BOOL)compact {
- int numCodewords;
- int numDataCodewords;
-
- if (compact) {
- numCodewords = 7;
- numDataCodewords = 2;
- } else {
- numCodewords = 10;
- numDataCodewords = 4;
- }
-
- int numECCodewords = numCodewords - numDataCodewords;
- ZXIntArray *parameterWords = [[ZXIntArray alloc] initWithLength:numCodewords];
- for (int i = numCodewords - 1; i >= 0; --i) {
- parameterWords.array[i] = (int32_t) parameterData & 0xF;
- parameterData >>= 4;
- }
-
- ZXReedSolomonDecoder *rsDecoder = [[ZXReedSolomonDecoder alloc] initWithField:[ZXGenericGF AztecParam]];
- if (![rsDecoder decode:parameterWords twoS:numECCodewords error:nil]) {
- return NO;
- }
- // Toss the error correction. Just return the data as an integer
- int result = 0;
- for (int i = 0; i < numDataCodewords; i++) {
- result = (result << 4) + parameterWords.array[i];
- }
- return result;
- }
-
- /**
- * Finds the corners of a bull-eye centered on the passed point.
- * This returns the centers of the diagonal points just outside the bull's eye
- * Returns [topRight, bottomRight, bottomLeft, topLeft]
- *
- * @param pCenter Center point
- * @return The corners of the bull-eye, or nil if no valid bull-eye can be found
- */
- - (NSMutableArray *)bullsEyeCorners:(ZXAztecPoint *)pCenter {
- ZXAztecPoint *pina = pCenter;
- ZXAztecPoint *pinb = pCenter;
- ZXAztecPoint *pinc = pCenter;
- ZXAztecPoint *pind = pCenter;
-
- BOOL color = YES;
-
- for (self.nbCenterLayers = 1; self.nbCenterLayers < 9; self.nbCenterLayers++) {
- ZXAztecPoint *pouta = [self firstDifferent:pina color:color dx:1 dy:-1];
- ZXAztecPoint *poutb = [self firstDifferent:pinb color:color dx:1 dy:1];
- ZXAztecPoint *poutc = [self firstDifferent:pinc color:color dx:-1 dy:1];
- ZXAztecPoint *poutd = [self firstDifferent:pind color:color dx:-1 dy:-1];
-
- //d a
- //
- //c b
-
- if (self.nbCenterLayers > 2) {
- float q = [self distance:poutd b:pouta] * self.nbCenterLayers / ([self distance:pind b:pina] * (self.nbCenterLayers + 2));
- if (q < 0.75 || q > 1.25 || ![self isWhiteOrBlackRectangle:pouta p2:poutb p3:poutc p4:poutd]) {
- break;
- }
- }
-
- pina = pouta;
- pinb = poutb;
- pinc = poutc;
- pind = poutd;
-
- color = !color;
- }
-
- if (self.nbCenterLayers != 5 && self.nbCenterLayers != 7) {
- return nil;
- }
-
- self.compact = self.nbCenterLayers == 5;
-
- // Expand the square by .5 pixel in each direction so that we're on the border
- // between the white square and the black square
- ZXResultPoint *pinax = [[ZXResultPoint alloc] initWithX:pina.x + 0.5f y:pina.y - 0.5f];
- ZXResultPoint *pinbx = [[ZXResultPoint alloc] initWithX:pinb.x + 0.5f y:pinb.y + 0.5f];
- ZXResultPoint *pincx = [[ZXResultPoint alloc] initWithX:pinc.x - 0.5f y:pinc.y + 0.5f];
- ZXResultPoint *pindx = [[ZXResultPoint alloc] initWithX:pind.x - 0.5f y:pind.y - 0.5f];
-
- // Expand the square so that its corners are the centers of the points
- // just outside the bull's eye.
- return [[self expandSquare:@[pinax, pinbx, pincx, pindx]
- oldSide:2 * self.nbCenterLayers - 3
- newSide:2 * self.nbCenterLayers] mutableCopy];
- }
-
- /**
- * Finds a candidate center point of an Aztec code from an image
- */
- - (ZXAztecPoint *)matrixCenter {
- ZXResultPoint *pointA;
- ZXResultPoint *pointB;
- ZXResultPoint *pointC;
- ZXResultPoint *pointD;
-
- ZXWhiteRectangleDetector *detector = [[ZXWhiteRectangleDetector alloc] initWithImage:self.image error:nil];
- NSArray *cornerPoints = [detector detectWithError:nil];
-
- if (cornerPoints) {
- pointA = cornerPoints[0];
- pointB = cornerPoints[1];
- pointC = cornerPoints[2];
- pointD = cornerPoints[3];
- } else {
- // This exception can be in case the initial rectangle is white
- // In that case, surely in the bull's eye, we try to expand the rectangle.
- int cx = self.image.width / 2;
- int cy = self.image.height / 2;
- pointA = [[self firstDifferent:[[ZXAztecPoint alloc] initWithX:cx + 7 y:cy - 7] color:NO dx:1 dy:-1] toResultPoint];
- pointB = [[self firstDifferent:[[ZXAztecPoint alloc] initWithX:cx + 7 y:cy + 7] color:NO dx:1 dy:1] toResultPoint];
- pointC = [[self firstDifferent:[[ZXAztecPoint alloc] initWithX:cx - 7 y:cy + 7] color:NO dx:-1 dy:1] toResultPoint];
- pointD = [[self firstDifferent:[[ZXAztecPoint alloc] initWithX:cx - 7 y:cy - 7] color:NO dx:-1 dy:-1] toResultPoint];
- }
-
- //Compute the center of the rectangle
- int cx = [ZXMathUtils round:([pointA x] + [pointD x] + [pointB x] + [pointC x]) / 4.0f];
- int cy = [ZXMathUtils round:([pointA y] + [pointD y] + [pointB y] + [pointC y]) / 4.0f];
-
- // Redetermine the white rectangle starting from previously computed center.
- // This will ensure that we end up with a white rectangle in center bull's eye
- // in order to compute a more accurate center.
- detector = [[ZXWhiteRectangleDetector alloc] initWithImage:self.image initSize:15 x:cx y:cy error:nil];
- cornerPoints = [detector detectWithError:nil];
-
- if (cornerPoints) {
- pointA = cornerPoints[0];
- pointB = cornerPoints[1];
- pointC = cornerPoints[2];
- pointD = cornerPoints[3];
- } else {
- // This exception can be in case the initial rectangle is white
- // In that case we try to expand the rectangle.
- pointA = [[self firstDifferent:[[ZXAztecPoint alloc] initWithX:cx + 7 y:cy - 7] color:NO dx:1 dy:-1] toResultPoint];
- pointB = [[self firstDifferent:[[ZXAztecPoint alloc] initWithX:cx + 7 y:cy + 7] color:NO dx:1 dy:1] toResultPoint];
- pointC = [[self firstDifferent:[[ZXAztecPoint alloc] initWithX:cx - 7 y:cy + 7] color:NO dx:-1 dy:1] toResultPoint];
- pointD = [[self firstDifferent:[[ZXAztecPoint alloc] initWithX:cx - 7 y:cy - 7] color:NO dx:-1 dy:-1] toResultPoint];
- }
-
- cx = [ZXMathUtils round:([pointA x] + [pointD x] + [pointB x] + [pointC x]) / 4];
- cy = [ZXMathUtils round:([pointA y] + [pointD y] + [pointB y] + [pointC y]) / 4];
-
- // Recompute the center of the rectangle
- return [[ZXAztecPoint alloc] initWithX:cx y:cy];
- }
-
- /**
- * Gets the Aztec code corners from the bull's eye corners and the parameters.
- *
- * @param bullsEyeCorners the array of bull's eye corners
- * @return the array of aztec code corners, or nil if the corner points do not fit in the image
- */
- - (NSArray *)matrixCornerPoints:(NSArray *)bullsEyeCorners {
- return [self expandSquare:bullsEyeCorners oldSide:2 * self.nbCenterLayers newSide:[self dimension]];
- }
-
- /**
- * Creates a BitMatrix by sampling the provided image.
- * topLeft, topRight, bottomRight, and bottomLeft are the centers of the squares on the
- * diagonal just outside the bull's eye.
- */
- - (ZXBitMatrix *)sampleGrid:(ZXBitMatrix *)anImage
- topLeft:(ZXResultPoint *)topLeft
- topRight:(ZXResultPoint *)topRight
- bottomRight:(ZXResultPoint *)bottomRight
- bottomLeft:(ZXResultPoint *)bottomLeft {
- ZXGridSampler *sampler = [ZXGridSampler instance];
- int dimension = [self dimension];
-
- float low = dimension / 2.0f - self.nbCenterLayers;
- float high = dimension / 2.0f + self.nbCenterLayers;
-
- return [sampler sampleGrid:anImage
- dimensionX:dimension
- dimensionY:dimension
- p1ToX:low p1ToY:low // topleft
- p2ToX:high p2ToY:low // topright
- p3ToX:high p3ToY:high // bottomright
- p4ToX:low p4ToY:high // bottomleft
- p1FromX:topLeft.x p1FromY:topLeft.y
- p2FromX:topRight.x p2FromY:topRight.y
- p3FromX:bottomRight.x p3FromY:bottomRight.y
- p4FromX:bottomLeft.x p4FromY:bottomLeft.y
- error:nil];
- }
-
- /**
- * Samples a line.
- *
- * @param p1 start point (inclusive)
- * @param p2 end point (exclusive)
- * @param size number of bits
- * @return the array of bits as an int (first bit is high-order bit of result)
- */
- - (int)sampleLine:(ZXResultPoint *)p1 p2:(ZXResultPoint *)p2 size:(int)size {
- int result = 0;
-
- float d = [self resultDistance:p1 b:p2];
- float moduleSize = d / size;
- float px = p1.x;
- float py = p1.y;
- float dx = moduleSize * (p2.x - p1.x) / d;
- float dy = moduleSize * (p2.y - p1.y) / d;
- for (int i = 0; i < size; i++) {
- if ([self.image getX:[ZXMathUtils round:px + i * dx] y:[ZXMathUtils round:py + i * dy]]) {
- result |= 1 << (size - i - 1);
- }
- }
-
- return result;
- }
-
- /**
- * @return true if the border of the rectangle passed in parameter is compound of white points only
- * or black points only
- */
- - (BOOL)isWhiteOrBlackRectangle:(ZXAztecPoint *)p1 p2:(ZXAztecPoint *)p2 p3:(ZXAztecPoint *)p3 p4:(ZXAztecPoint *)p4 {
- int corr = 3;
-
- p1 = [[ZXAztecPoint alloc] initWithX:p1.x - corr y:p1.y + corr];
- p2 = [[ZXAztecPoint alloc] initWithX:p2.x - corr y:p2.y - corr];
- p3 = [[ZXAztecPoint alloc] initWithX:p3.x + corr y:p3.y - corr];
- p4 = [[ZXAztecPoint alloc] initWithX:p4.x + corr y:p4.y + corr];
-
- int cInit = [self color:p4 p2:p1];
-
- if (cInit == 0) {
- return NO;
- }
-
- int c = [self color:p1 p2:p2];
-
- if (c != cInit) {
- return NO;
- }
-
- c = [self color:p2 p2:p3];
-
- if (c != cInit) {
- return NO;
- }
-
- c = [self color:p3 p2:p4];
-
- return c == cInit;
- }
-
- /**
- * Gets the color of a segment
- *
- * @return 1 if segment more than 90% black, -1 if segment is more than 90% white, 0 else
- */
- - (int)color:(ZXAztecPoint *)p1 p2:(ZXAztecPoint *)p2 {
- float d = [self distance:p1 b:p2];
- float dx = (p2.x - p1.x) / d;
- float dy = (p2.y - p1.y) / d;
- int error = 0;
-
- float px = p1.x;
- float py = p1.y;
-
- BOOL colorModel = [self.image getX:p1.x y:p1.y];
-
- for (int i = 0; i < d; i++) {
- px += dx;
- py += dy;
- if ([self.image getX:[ZXMathUtils round:px] y:[ZXMathUtils round:py]] != colorModel) {
- error++;
- }
- }
-
- float errRatio = (float)error / d;
-
- if (errRatio > 0.1f && errRatio < 0.9f) {
- return 0;
- }
-
- return (errRatio <= 0.1f) == colorModel ? 1 : -1;
- }
-
- /**
- * Gets the coordinate of the first point with a different color in the given direction
- */
- - (ZXAztecPoint *)firstDifferent:(ZXAztecPoint *)init color:(BOOL)color dx:(int)dx dy:(int)dy {
- int x = init.x + dx;
- int y = init.y + dy;
-
- while ([self isValidX:x y:y] && [self.image getX:x y:y] == color) {
- x += dx;
- y += dy;
- }
-
- x -= dx;
- y -= dy;
-
- while ([self isValidX:x y:y] && [self.image getX:x y:y] == color) {
- x += dx;
- }
- x -= dx;
-
- while ([self isValidX:x y:y] && [self.image getX:x y:y] == color) {
- y += dy;
- }
- y -= dy;
-
- return [[ZXAztecPoint alloc] initWithX:x y:y];
- }
-
- /**
- * Expand the square represented by the corner points by pushing out equally in all directions
- *
- * @param cornerPoints the corners of the square, which has the bull's eye at its center
- * @param oldSide the original length of the side of the square in the target bit matrix
- * @param newSide the new length of the size of the square in the target bit matrix
- * @return the corners of the expanded square
- */
- - (NSArray *)expandSquare:(NSArray *)cornerPoints oldSide:(float)oldSide newSide:(float)newSide {
- ZXResultPoint *cornerPoints0 = (ZXResultPoint *)cornerPoints[0];
- ZXResultPoint *cornerPoints1 = (ZXResultPoint *)cornerPoints[1];
- ZXResultPoint *cornerPoints2 = (ZXResultPoint *)cornerPoints[2];
- ZXResultPoint *cornerPoints3 = (ZXResultPoint *)cornerPoints[3];
-
- float ratio = newSide / (2 * oldSide);
- float dx = cornerPoints0.x - cornerPoints2.x;
- float dy = cornerPoints0.y - cornerPoints2.y;
- float centerx = (cornerPoints0.x + cornerPoints2.x) / 2.0f;
- float centery = (cornerPoints0.y + cornerPoints2.y) / 2.0f;
-
- ZXResultPoint *result0 = [[ZXResultPoint alloc] initWithX:centerx + ratio * dx y:centery + ratio * dy];
- ZXResultPoint *result2 = [[ZXResultPoint alloc] initWithX:centerx - ratio * dx y:centery - ratio * dy];
-
- dx = cornerPoints1.x - cornerPoints3.x;
- dy = cornerPoints1.y - cornerPoints3.y;
- centerx = (cornerPoints1.x + cornerPoints3.x) / 2.0f;
- centery = (cornerPoints1.y + cornerPoints3.y) / 2.0f;
- ZXResultPoint *result1 = [[ZXResultPoint alloc] initWithX:centerx + ratio * dx y:centery + ratio * dy];
- ZXResultPoint *result3 = [[ZXResultPoint alloc] initWithX:centerx - ratio * dx y:centery - ratio * dy];
-
- return @[result0, result1, result2, result3];
- }
-
- - (BOOL)isValidX:(int)x y:(int)y {
- return x >= 0 && x < self.image.width && y > 0 && y < self.image.height;
- }
-
- - (BOOL)isValid:(ZXResultPoint *)point {
- int x = [ZXMathUtils round:point.x];
- int y = [ZXMathUtils round:point.y];
- return [self isValidX:x y:y];
- }
-
- - (float)distance:(ZXAztecPoint *)a b:(ZXAztecPoint *)b {
- return [ZXMathUtils distance:a.x aY:a.y bX:b.x bY:b.y];
- }
-
- - (float)resultDistance:(ZXResultPoint *)a b:(ZXResultPoint *)b {
- return [ZXMathUtils distance:a.x aY:a.y bX:b.x bY:b.y];
- }
-
- - (int)dimension {
- if (self.compact) {
- return 4 * self.nbLayers + 11;
- }
- if (self.nbLayers <= 4) {
- return 4 * self.nbLayers + 15;
- }
- return 4 * self.nbLayers + 2 * ((self.nbLayers-4)/8 + 1) + 15;
- }
-
- @end
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