How to resolve the algorithm Range expansion step by step in the Python programming language
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.
- If the range contains a hyphen (
- 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()
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