UIScrollView custom paging size

There is a UIScrollView delegate method you can use. Set your class as the scroll view's delegate, and then implement the following:

- (void)scrollViewWillEndDragging:(UIScrollView *)scrollView withVelocity:(CGPoint)velocity targetContentOffset:(inout CGPoint *)targetContentOffset
{
    CGFloat kMaxIndex = 23;
    CGFloat targetX = scrollView.contentOffset.x + velocity.x * 60.0;
    CGFloat targetIndex = 0.0;
    if (velocity.x > 0) {
        targetIndex = ceil(targetX / (kCellWidth + kCellSpacing));
    } else if (velocity.x == 0) {
        targetIndex = round(targetX / (kCellWidth + kCellSpacing));
    } else if (velocity.x < 0) {
        targetIndex = floor(targetX / (kCellWidth + kCellSpacing));
    }
    if (targetIndex < 0)
        targetIndex = 0;
    if (targetIndex > kMaxIndex)
        targetIndex = kMaxIndex;
    targetContentOffset->x = targetIndex * (kCellWidth + kCellSpacing);
    //scrollView.decelerationRate = UIScrollViewDecelerationRateFast;//uncomment this for faster paging
}

The velocity parameter is necessary to make sure the scrolling feels natural and doesn't end abruptly when a touch ends with your finger still moving. The cell width and cell spacing are the page width and spacing between pages in your view. In this case, I'm using a UICollectionView.

Swift 4.1 solution that simplifies reusing:

/// Protocol that simplifies custom page size configuration for UIScrollView.
/// Sadly, can not be done better due to protocol extensions limitations - https://stackoverflow.com/questions/39487168/non-objc-method-does-not-satisfy-optional-requirement-of-objc-protocol
/// - note: Set `.decelerationRate` to `UIScrollViewDecelerationRateFast` for a fancy scrolling animation.
protocol ScrollViewCustomHorizontalPageSize: UIScrollViewDelegate {
    /// Custom page size
    var pageSize: CGFloat { get }

    /// Helper method to get current page fraction
    func getCurrentPage(scrollView: UIScrollView) -> CGFloat

    /// Helper method to get targetContentOffset. Usage:
    ///
    ///     func scrollViewWillEndDragging(_ scrollView: UIScrollView, withVelocity velocity: CGPoint, targetContentOffset: UnsafeMutablePointer<CGPoint>) {
    ///         targetContentOffset.pointee.x = getTargetContentOffset(scrollView: scrollView, velocity: velocity)
    ///     }
    func getTargetContentOffset(scrollView: UIScrollView, velocity: CGPoint) -> CGFloat

    /// Must be implemented. See `getTargetContentOffset` for more info.
    func scrollViewWillEndDragging(_ scrollView: UIScrollView, withVelocity velocity: CGPoint, targetContentOffset: UnsafeMutablePointer<CGPoint>)
}

extension ScrollViewCustomHorizontalPageSize {
    func getCurrentPage(scrollView: UIScrollView) -> CGFloat {
        return (scrollView.contentOffset.x + scrollView.contentInset.left) / pageSize
    }

    func getTargetContentOffset(scrollView: UIScrollView, velocity: CGPoint) -> CGFloat {
        let targetX: CGFloat = scrollView.contentOffset.x + velocity.x * 60.0

        var targetIndex = (targetX + scrollView.contentInset.left) / pageSize
        let maxOffsetX = scrollView.contentSize.width - scrollView.bounds.width + scrollView.contentInset.right
        let maxIndex = (maxOffsetX + scrollView.contentInset.left) / pageSize
        if velocity.x > 0 {
            targetIndex = ceil(targetIndex)
        } else if velocity.x < 0 {
            targetIndex = floor(targetIndex)
        } else {
            let (maxFloorIndex, lastInterval) = modf(maxIndex)
            if targetIndex > maxFloorIndex {
                if targetIndex >= lastInterval / 2 + maxFloorIndex {
                    targetIndex = maxIndex
                } else {
                    targetIndex = maxFloorIndex
                }
            } else {
                targetIndex = round(targetIndex)
            }
        }

        if targetIndex < 0 {
            targetIndex = 0
        }

        var offsetX = targetIndex * pageSize - scrollView.contentInset.left
        offsetX = min(offsetX, maxOffsetX)

        return offsetX
    }
}

Just conform to ScrollViewCustomPageSize protocol in your UIScrollView/UITableView/UICollectionView delegate and you are done, e.g.:

extension MyCollectionViewController: ScrollViewCustomPageSize {
    var pageSize: CGFloat {
        return 200
    }

    func scrollViewWillEndDragging(_ scrollView: UIScrollView, withVelocity velocity: CGPoint, targetContentOffset: UnsafeMutablePointer<CGPoint>) {
        targetContentOffset.pointee.x = getTargetContentOffset(scrollView: scrollView, velocity: velocity)
    }
}

For a fancy scrolling I also recommend to set collectionView.decelerationRate = UIScrollViewDecelerationRateFast

Swift 4.1, iOS11+:

func scrollViewWillEndDragging(_ scrollView: UIScrollView, withVelocity velocity: CGPoint, targetContentOffset: UnsafeMutablePointer<CGPoint>) {
    targetContentOffset.pointee = CGPoint(
        x: round(targetContentOffset.pointee.x / pageWidth) * pageWidth,
        y: targetContentOffset.pointee.y
    )
}

The easiest way is to add this code

scrollView.clipsToBounds = false
scrollView.removeGestureRecognizer(scrollView.panGestureRecognizer)
view.addGestureRecognizer(scrollView.panGestureRecognizer)