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The coordinate system represents the locations of pixels, not the pixels themselves Pixels have a width and height equal to 1 and extend down and to the left of their locating point For example, the pixel in the upper-left corner of the display is defined as (0,0) and covers the area where 0 <= x < 1 and 0 <= y < 1 All coordinates are specified as integers (See Figure 111)

BLOCKS NODES NODE COLOR NAME NEW_ROW ::= ::= ::= ::= ::= ::= NODES+ NEW_ROW* \s* NODE+ '[' \s* (COLOR ':') \s* NAME \s* NODES* \s* ']' '#' [\dA-Fa-f]{6} | [a-zA-Z]\w* [^][/]+ '/'

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Mesh Authentication Mesh networks can be protected by specifying a password or using an X509 certi cate associated with a mesh For an application to participate on the mesh, it must specify the correct password for the mesh network Mesh passwords allow applications to register on a mesh network and discover other participants in a mesh They do not say whether a participant is an authenticated user Mesh passwords need to be speci ed on both the server and the client Listing 123 shows a mesh password being con gured on the

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The BNF de nes a BLOCKS le as having one or more NODES A NODES consists of zero or more NEW_ROWs followed by one or more NODEs A NODE is a left bracket followed by an optional COLOR followed by an optional NAME followed by zero or more NODES followed by a right square bracket The COLOR is simply a hash (pound) symbol followed by six hexadecimal digits and a colon, or a sequence of one or more alphanumeric characters that begins with an alphabetic character, and followed by a colon The NAME is a sequence of any characters but excluding brackets or forward slashes A NEW_ROW is a literal forward slash As the many occurrences of \s* suggest, whitespace is allowed anywhere between terminals and nonterminals and is of no signi cance The de nition of the NODE nonterminal is recursive because it contains the NODES nonterminal which itself is de ned in terms of the NODE nonterminal Recursive de nitions like this are easy to get wrong and can lead to parsers that loop endlessly, so it might be worthwhile doing some paper-based testing to make sure the grammar does terminate, that is, that given a valid input the grammar will reach all terminals rather than endlessly looping from one nonterminal to another Previously, once we had a BNF, we have dived straight into creating a parser and doing the processing as we parse This isn t practical for recursive grammars because of the potential for elements to be nested What we will need to do is to create a class to represent each block (or new row) and that can hold a list of nested child blocks, which themselves might contain children, and so on We can then retrieve the parser s results as a list (which will contain lists within lists as necessary to represent nested blocks), and we can convert this list into a tree with an empty root block and all the other blocks as its children In the case of the hierarchyblk example, the root block has a list of new rows and of child blocks (including empty blocks), none of which have any children This is illustrated in Figure 1413 the hierarchyblk le was shown earlier (525 ) The messageboxblk example has a root block that has one child block (the MessageBox Window ), which itself has one child block (the Frame ),.

Figure 111 Pixel coordinate system showing the pixel at (4,3)

and which in turn has a list of new rows and child blocks (including empty blocks) inside the Frame This is illustrated in Figure 1414 the messageboxblk le was shown earlier (526 ) All the blocks parsers shown in this chapter return a root block with child blocks as Figures 1413 and 1414 illustrate providing the parse is successful The BlockOutputpy module that the blockspy program uses provides a function called save_blocks_as_svg() that takes a root block and traverses its children recursively to create an SVG le to visually represent the blocks

Before creating the parser, we will begin by de ning a Block class to represent a block and any child blocks it contains Then we will look at the parser, and see how it produces a single root Block whose child blocks represent the contents of the blk le it parses Instances of the Block class have three attributes: name, color, and children (a possibly empty list of children) A root block has no name or color, and an empty

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