How to resolve the algorithm Range expansion step by step in the Python programming language

Published on 12 May 2024 09:40 PM

How to resolve the algorithm Range expansion step by step in the Python programming language

Table of Contents

Problem Statement

A format for expressing an ordered list of integers is to use a comma separated list of either Example The list of integers: Is accurately expressed by the range expression: (And vice-versa).

Expand the range description: Note that the second element above, is the range from minus 3 to minus 1.

Let's start with the solution:

Step by Step solution about How to resolve the algorithm Range expansion step by step in the Python programming language

Range Expansion in Python

Source Code:

The provided Python code defines three different functions to expand a given string of comma-separated numbers and hyphenated ranges into a sorted list of integers.

Function 1: rangeexpand

  • This function takes a string txt as input and splits it into individual ranges using commas as separators.
  • For each range:
    • If the range contains a hyphen (-), it extracts the start and end points and generates a list of integers within that range (inclusive).
    • If the range does not contain a hyphen, it simply appends the number to the list.
  • The function returns the sorted list of integers.

Function 2: rangeexpand (Improved using Regular Expressions)

  • This function also splits the input string into ranges but uses regular expressions to parse them for more precise handling.
  • It uses re.match to extract the start and end points of each range and handles both types of ranges (with and without hyphens) correctly.
  • The function returns the sorted list of integers.

Function 3: rangeExpansion (Recursive Using functools.reduce)

  • This function uses a recursive approach and functools.reduce to expand the ranges.
  • It splits the input string into individual ranges and processes them one by one.
  • For each range, it handles the case with and without hyphens and accumulates the expanded integers into the final list.
  • The function returns the sorted list of integers.

Usage:

The code defines a main function that tests the rangeExpansion function with a sample input string and prints the expanded list of integers.

Sample Input and Output:

print(rangeexpand('-6,-3--1,3-5,7-11,14,15,17-20'))
# Output: [-6, -5, -4, -3, -2, -1, 3, 4, 5, 7, 8, 9, 10, 11, 14, 15, 17, 18, 19, 20]

Explanation:

The provided code offers three different implementations of a range expansion function in Python. The functions convert a string of integers and hyphenated ranges into a sorted list of integers. The expanded list includes all integers within the specified ranges (inclusive). The code provides a comprehensive and efficient way to handle such range expansion tasks.

Source code in the python programming language

def rangeexpand(txt):
    lst = []
    for r in txt.split(','):
        if '-' in r[1:]:
            r0, r1 = r[1:].split('-', 1)
            lst += range(int(r[0] + r0), int(r1) + 1)
        else:
            lst.append(int(r))
    return lst

print(rangeexpand('-6,-3--1,3-5,7-11,14,15,17-20'))


import re

def rangeexpand(txt):
    lst = []
    for rng in txt.split(','):
        start,end = re.match('^(-?\d+)(?:-(-?\d+))?$', rng).groups()
        if end:
            lst.extend(xrange(int(start),int(end)+1))
        else:
            lst.append(int(start))
    return lst


'''Range expansion'''

from functools import (reduce)


# ------------------- EXPANSION FUNCTION -------------------

# rangeExpansion :: String -> [Int]
def rangeExpansion(s):
    '''List of integers expanded from a
       comma-delimited string of individual
       numbers and hyphenated ranges.
    '''
    def go(a, x):
        tpl = breakOn('-')(x[1:])
        r = tpl[1]
        return a + (
            [int(x)] if not r
            else enumFromTo(int(x[0] + tpl[0]))(
                int(r[1:])
            )
        )
    return reduce(go, s.split(','), [])


# -------------------------- TEST --------------------------
def main():
    '''Expansion test'''

    print(
        fTable(__doc__ + ':')(
            lambda x: "\n'" + str(x) + "'"
        )(lambda x: '\n\n\t' + showList(x))(
            rangeExpansion
        )([
            '-6,-3--1,3-5,7-11,14,15,17-20'
        ])
    )


# ------------------- GENERIC FUNCTIONS --------------------

# breakOn :: String -> String -> (String, String)
def breakOn(needle):
    '''A tuple of:
       1. the prefix of haystack before needle,
       2. the remainder of haystack, starting
          with needle.
    '''
    def go(haystack):
        xs = haystack.split(needle)
        return (xs[0], haystack[len(xs[0]):]) if (
            1 < len(xs)
        ) else (haystack, '')
    return lambda haystack: go(haystack) if (
        needle
    ) else None


# enumFromTo :: Int -> Int -> [Int]
def enumFromTo(m):
    '''Enumeration of integer values [m..n]
    '''
    return lambda n: list(range(m, 1 + n))


# fTable :: String -> (a -> String) ->
# (b -> String) -> (a -> b) -> [a] -> String
def fTable(s):
    '''Heading -> x display function -> 
       fx display function -> f -> xs -> tabular string.
    '''
    def gox(xShow):
        def gofx(fxShow):
            def gof(f):
                def goxs(xs):
                    ys = [xShow(x) for x in xs]
                    w = max(map(len, ys))

                    def arrowed(x, y):
                        return y.rjust(w, ' ') + ' -> ' + (
                            fxShow(f(x))
                        )
                    return s + '\n' + '\n'.join(
                        map(arrowed, xs, ys)
                    )
                return goxs
            return gof
        return gofx
    return gox


# showList :: [a] -> String
def showList(xs):
    '''Stringification of a list.
    '''
    return '[' + ','.join(str(x) for x in xs) + ']'


# MAIN ---
if __name__ == '__main__':
    main()


  

You may also check:How to resolve the algorithm Longest common subsequence step by step in the Julia programming language
You may also check:How to resolve the algorithm Create an HTML table step by step in the Erlang programming language
You may also check:How to resolve the algorithm Roots of a quadratic function step by step in the Maxima programming language
You may also check:How to resolve the algorithm Long primes step by step in the J programming language
You may also check:How to resolve the algorithm Truth table step by step in the PARI/GP programming language