Numeric utility methods used by controls. These methods are similar in scope to the WPF DoubleUtil class.
        private bool HandleScrollByPage(bool up)
        {
            // NOTE: This implementation assumes that items are laid out
            // vertically and the Headers of the TreeViewItems appear above
            // their ItemsPresenter.  The same assumptions are made in WPF.

            ScrollViewer scrollHost = ItemsControlHelper.ScrollHost;

            if (scrollHost != null)
            {
                double viewportHeight = scrollHost.ViewportHeight;

                double top;
                double bottom;
                (SelectedContainer.HeaderElement ?? SelectedContainer).GetTopAndBottom(scrollHost, out top, out bottom);

                TreeViewItem selected = null;
                TreeViewItem next     = SelectedContainer;
                ItemsControl parent   = SelectedContainer.ParentItemsControl;

                if (parent != null)
                {
                    // We need to start at the root TreeViewItem if we're
                    // scrolling up, but can start at the SelectedItem if
                    // scrolling down.
                    if (up)
                    {
                        while (parent != this)
                        {
                            TreeViewItem parentItem = parent as TreeViewItem;
                            if (parentItem == null)
                            {
                                break;
                            }

                            ItemsControl grandparent = parentItem.ParentItemsControl;
                            if (grandparent == null)
                            {
                                break;
                            }

                            next   = parentItem;
                            parent = grandparent;
                        }
                    }

                    int index = parent.ItemContainerGenerator.IndexFromContainer(next);
                    int count = parent.Items.Count;
                    while (parent != null && next != null)
                    {
                        if (next.IsEnabled)
                        {
                            double delta;
                            if (next.HandleScrollByPage(up, scrollHost, viewportHeight, top, bottom, out delta))
                            {
                                // This item or one of its children was focused
                                return(true);
                            }
                            else if (NumericExtensions.IsGreaterThan(delta, viewportHeight))
                            {
                                // If the item doesn't fit on the page but it's
                                // already selected, we'll select the next item
                                // even though it doesn't completely fit into
                                // the current view
                                if (selected == SelectedContainer || selected == null)
                                {
                                    return(up ?
                                           SelectedContainer.HandleUpKey() :
                                           SelectedContainer.HandleDownKey());
                                }
                                break;
                            }
                            else
                            {
                                selected = next;
                            }
                        }

                        index += up ? -1 : 1;
                        if (0 <= index && index < count)
                        {
                            next = parent.ItemContainerGenerator.ContainerFromIndex(index) as TreeViewItem;
                        }
                        else if (parent == this)
                        {
                            // We just finished with the last item in the
                            // TreeView
                            next = null;
                        }
                        else
                        {
                            // Move up the parent chain to the next item
                            while (parent != null)
                            {
                                TreeViewItem oldParent = parent as TreeViewItem;
                                parent = oldParent.ParentItemsControl;
                                if (parent != null)
                                {
                                    count = parent.Items.Count;
                                    index = parent.ItemContainerGenerator.IndexFromContainer(oldParent) + (up ? -1 : 1);
                                    if (0 <= index && index < count)
                                    {
                                        next = parent.ItemContainerGenerator.ContainerFromIndex(index) as TreeViewItem;
                                        break;
                                    }
                                    else if (parent == this)
                                    {
                                        next   = null;
                                        parent = null;
                                    }
                                }
                            }
                        }
                    }
                }

                if (selected != null)
                {
                    if (up)
                    {
                        if (selected != SelectedContainer)
                        {
                            return(selected.Focus());
                        }
                    }
                    else
                    {
                        selected.FocusInto();
                    }
                }
            }

            return(false);
        }