How to resolve the algorithm ASCII art diagram converter step by step in the Haskell programming language

Published on 7 June 2024 03:52 AM

How to resolve the algorithm ASCII art diagram converter step by step in the Haskell programming language

Table of Contents

Problem Statement

Given the RFC 1035 message diagram from Section 4.1.1 (Header section format) as a string: http://www.ietf.org/rfc/rfc1035.txt Where (every column of the table is 1 bit): Write a function, member function, class or template that accepts a similar multi-line string as input to define a data structure or something else able to decode or store a header with that specified bit structure. If your language has macros, introspection, code generation, or powerful enough templates, then accept such string at compile-time to define the header data structure statically. Such "Header" function or template should accept a table with 8, 16, 32 or 64 columns, and any number of rows. For simplicity the only allowed symbols to define the table are + - | (plus, minus, pipe), and whitespace. Lines of the input string composed just of whitespace should be ignored. Leading and trailing whitespace in the input string should be ignored, as well as before and after each table row. The box for each bit of the diagram takes four chars "+--+". The code should perform a little of validation of the input string, but for brevity a full validation is not required. Bonus: perform a thoroughly validation of the input string.

Let's start with the solution:

Step by Step solution about How to resolve the algorithm ASCII art diagram converter step by step in the Haskell programming language

The provided Haskell code offers a powerful set of functions for reading and parsing tabular data into a custom data structure. Let's break down the code step by step:

  1. Data Structure for Tabular Data:

    • Field a data type represents a single field in a row, with its name, size, and an optional value.
    • Data a data type represents a collection of rows, where each row is represented as a list of Fields.
  2. Parsing Tabular Data using ReadP:

    • The readP_to_S function is used to parse tabular data using the ReadP library.
    • The parseData function defines the grammar for parsing tabular data. It checks the size of the table, parses rows, and verifies that row sizes are consistent.
  3. Parsing Row Header and Fields:

    • parseHeader parses the header line and checks its size.
    • parseRow parses a single row, checking for consistency.
    • parseField parses an individual field, ensuring proper alignment.
  4. Emulation of Bitstream Reading:

    • readData function takes a Data structure and a stream of bits (represented as a list) and populates the fieldValue field of each Field with the corresponding bits.
  5. A Sample Diagram of DNS Header:

    • The diagram variable is a string that represents a diagram of a DNS header.
  6. A Sample Data:

    • dataSample is a string containing sample data representing a DNS header in binary format.
  7. Alternative Parsing Function:

    • readData function provides an alternate way to parse tabular data. It expects input as a list of lines and checks for alignment and field sizes.
    • readHLine parses and checks the header line.
    • readField parses and checks individual fields.
    • readRow parses a single row, checking for consistency.

The code demonstrates how to parse tabular data into a structured format, handling alignment and consistency checks. It also includes an emulation function for reading a bitstream into the data structure and another function for parsing data from lines.

Source code in the haskell programming language

import Text.ParserCombinators.ReadP
import Control.Monad (guard)

data Field a = Field { fieldName :: String
                     , fieldSize :: Int
                     , fieldValue :: Maybe a}

instance Show a => Show (Field a) where
  show (Field n s a) = case a of
    Nothing -> n ++ "\t" ++ show s
    Just x -> n ++ "\t" ++ show s ++ "\t" ++ show x

newtype Data a = Data { fields :: [Field a] }

instance Show a => Show (Data a) where
  show (Data fs) = "NAME\tSIZE\tVALUE\n" ++ unlines (show <$> fs)

instance Read (Data a) where
  readsPrec _ = readP_to_S parseData 

parseData = do n <- parseHeader               
               guard (n `elem` [8,16,32,64]) -- check size of the table
               Data . concat <$> many1 (parseRow n)
  where
    parseRow n = do
      fs <- char '|' *> many parseField <* char '\n'
      guard $ sum (fieldSize <$> fs) == n -- check that size of all fields match the row size
      m <- parseHeader
      guard $ m == n -- check that all rows have the same size
      return fs
 
    parseHeader = do
      char '+'
      n <- length <$> many1 (string "--+")
      char '\n'
      return n
  
    parseField = do
      s1 <- many (char ' ')
      f <- munch1 $ not . (`elem` " |")
      s2 <- many (char ' ')
      char '|'
      let n = (length (s1 ++ f ++ s2) + 1) `div` 3
      return $ Field f n Nothing
    
-- emulation of reading a stream of bits
readData :: Data a -> [b] -> Data [b]
readData d = Data . go (fields d)
  where
    go fs [] = (\f -> f {fieldValue = Nothing}) <$> fs
    go (f:fs) s =
      let (x, xs) = splitAt (fieldSize f) s
      in f {fieldValue = Just x} : go fs xs
  

diagram = unlines
  ["+--+--+--+--+--+--+--+--+--+--+--+--+--+--+--+--+"
  ,"|                      ID                       |"
  ,"+--+--+--+--+--+--+--+--+--+--+--+--+--+--+--+--+"
  ,"|QR|   Opcode  |AA|TC|RD|RA|   Z    |   RCODE   |"
  ,"+--+--+--+--+--+--+--+--+--+--+--+--+--+--+--+--+"
  ,"|                    QDCOUNT                    |"
  ,"+--+--+--+--+--+--+--+--+--+--+--+--+--+--+--+--+"
  ,"|                    ANCOUNT                    |"
  ,"+--+--+--+--+--+--+--+--+--+--+--+--+--+--+--+--+"
  ,"|                    NSCOUNT                    |"
  ,"+--+--+--+--+--+--+--+--+--+--+--+--+--+--+--+--+"
  ,"|                    ARCOUNT                    |"
  ,"+--+--+--+--+--+--+--+--+--+--+--+--+--+--+--+--+"]
  
dataSample = concat
  ["011110000100011101111011101111110101010010010110",
   "111000010010111000011011111100010110100110100100"]


import Data.List (nub)
import Data.List.Split (splitOn)
import Control.Monad (unless)

readData :: String -> Either String (Data a)
readData d = process $ lines d
  where
    process d = do
      let l = length (head d)
      unless (all ((l ==) . length) d) $ Left "Table is not aligned!"
      w <- readHLine (head d)
      let rows = filter ((/= "+-") . nub) d
      Data . concat <$> traverse (readRow w) rows
                   
    readHLine s = do
      let cols = splitOn "--" s
      unless (nub cols == ["+"]) $ Left ("Invalid header: " ++ s)
      return $ length cols - 1

    readField s = do
      let n = length s + 1
      unless (n `mod` 3 == 0) $ Left ("Field is not aligned: " ++ s)
      return $ Field (filter (/= ' ') s) (n `div` 3) Nothing

    readRow n s = do
      let fields = filter (not.null) $ splitOn "|" s
      row <- traverse readField fields
      unless (sum (fieldSize <$> row) == n) $ Left $ "Fields are not aligned at row\n " ++ s
      return row


  

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