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objective c - Core Text calculate letter frame in iOS

I need to calculate exact bounding box for every each character (glyph) in NSAttributedString (Core Text). After putting together some code used to solve similar problems (Core Text selection, etc..), the result is quite good, but only few frames (red) are being calculated properly:

enter image description here

Most of the frames are misplaces either horizontally or vertically (by tiny bit). What is the cause of that? How can I perfect this code?:

-(void)recalculate{

    // get characters from NSString
    NSUInteger len = [_attributedString.string length];
    UniChar *characters = (UniChar *)malloc(sizeof(UniChar)*len);
    CFStringGetCharacters((__bridge CFStringRef)_attributedString.string, CFRangeMake(0, [_attributedString.string length]), characters);

    // allocate glyphs and bounding box arrays for holding the result
    // assuming that each character is only one glyph, which is wrong
    CGGlyph *glyphs = (CGGlyph *)malloc(sizeof(CGGlyph)*len);
    CTFontGetGlyphsForCharacters(_font, characters, glyphs, len);

    // get bounding boxes for glyphs
    CTFontGetBoundingRectsForGlyphs(_font, kCTFontDefaultOrientation, glyphs, _characterFrames, len);
    free(characters); free(glyphs);

    // Measure how mush specec will be needed for this attributed string
    // So we can find minimun frame needed
    CFRange fitRange;
    CGSize s = CTFramesetterSuggestFrameSizeWithConstraints(_framesetter, rangeAll, NULL, CGSizeMake(W, MAXFLOAT), &fitRange);

    _frameRect = CGRectMake(0, 0, s.width, s.height);
    CGPathRef framePath = CGPathCreateWithRect(_frameRect, NULL);
    _ctFrame = CTFramesetterCreateFrame(_framesetter, rangeAll, framePath, NULL);
    CGPathRelease(framePath);


    // Get the lines in our frame
    NSArray* lines = (NSArray*)CTFrameGetLines(_ctFrame);
    _lineCount = [lines count];

    // Allocate memory to hold line frames information:
    if (_lineOrigins != NULL)free(_lineOrigins);
    _lineOrigins = malloc(sizeof(CGPoint) * _lineCount);

    if (_lineFrames != NULL)free(_lineFrames);
    _lineFrames = malloc(sizeof(CGRect) * _lineCount);

    // Get the origin point of each of the lines
    CTFrameGetLineOrigins(_ctFrame, CFRangeMake(0, 0), _lineOrigins);

    // Solution borrowew from (but simplified):
    // https://github.com/twitter/twui/blob/master/lib/Support/CoreText%2BAdditions.m


    // Loop throught the lines
    for(CFIndex i = 0; i < _lineCount; ++i) {

        CTLineRef line = (__bridge CTLineRef)[lines objectAtIndex:i];

        CFRange lineRange = CTLineGetStringRange(line);
        CFIndex lineStartIndex = lineRange.location;
        CFIndex lineEndIndex = lineStartIndex + lineRange.length;

        CGPoint lineOrigin = _lineOrigins[i];
        CGFloat ascent, descent, leading;
        CGFloat lineWidth = CTLineGetTypographicBounds(line, &ascent, &descent, &leading);


        // If we have more than 1 line, we want to find the real height of the line by measuring the distance between the current line and previous line. If it's only 1 line, then we'll guess the line's height.
        BOOL useRealHeight = i < _lineCount - 1;
        CGFloat neighborLineY = i > 0 ? _lineOrigins[i - 1].y : (_lineCount - 1 > i ? _lineOrigins[i + 1].y : 0.0f);
        CGFloat lineHeight = ceil(useRealHeight ? abs(neighborLineY - lineOrigin.y) : ascent + descent + leading);

        _lineFrames[i].origin = lineOrigin;
        _lineFrames[i].size = CGSizeMake(lineWidth, lineHeight);

        for (int ic = lineStartIndex; ic < lineEndIndex; ic++) {

            CGFloat startOffset = CTLineGetOffsetForStringIndex(line, ic, NULL);
            _characterFrames[ic].origin = CGPointMake(startOffset, lineOrigin.y);
        }
    }
}


#pragma mark - Rendering Text:

-(void)renderInContext:(CGContextRef)context contextSize:(CGSize)size{

    CGContextSaveGState(context);

    // Draw Core Text attributes string:
    CGContextSetTextMatrix(context, CGAffineTransformIdentity);
    CGContextTranslateCTM(context, 0, CGRectGetHeight(_frameRect));
    CGContextScaleCTM(context, 1.0, -1.0);

    CTFrameDraw(_ctFrame, context);

    // Draw line and letter frames:
    CGContextSetStrokeColorWithColor(context, [UIColor colorWithRed:0.0 green:0.0 blue:1.0 alpha:0.5].CGColor);
    CGContextSetLineWidth(context, 1.0);

    CGContextBeginPath(context);
    CGContextAddRects(context, _lineFrames, _lineCount);
    CGContextClosePath(context);
    CGContextStrokePath(context);

    CGContextSetStrokeColorWithColor(context, [UIColor colorWithRed:1.0 green:0.0 blue:0.0 alpha:0.5].CGColor);
    CGContextBeginPath(context);
    CGContextAddRects(context, _characterFrames, _attributedString.string.length);
    CGContextClosePath(context);
    CGContextStrokePath(context);

    CGContextRestoreGState(context);

}
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You did an impressive amount of work in your question and were so close on your own. The problem you were having comes from this line of code where you position the bounding boxes for each frame:

_characterFrames[ic].origin = CGPointMake(startOffset, lineOrigin.y);

The problem with it is that you are overriding whatever offset the frame already had.

If you were to comment out that line you would see that all the frames were positioned more or less in the same place but you would also see that they are not positioned at the exact same place. Some are positioned more to the left or right and some more up or down. This means that the frames for the glyphs have a position of their own.

enter image description here

The solution to your problem is to take the current position of the frames into account when you move them into their correct place on the lines. You can either do it by adding to x and y separately:

_characterFrames[ic].origin.x += startOffset;
_characterFrames[ic].origin.y += lineOrigin.y;

or by offsetting the rectangle:

_characterFrames[ic] = CGRectOffset(_characterFrames[ic],
                                    startOffset, lineOrigin.y);

Now the bounding boxes will have their correct positions:

enter image description here

and you should see that it works for some of the more extreme fonts out there

enter image description here


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