Step by Step solution about How to resolve the algorithm Map range step by step in the Python programming language

Explanation:

The Python code defines a function called maprange() and demonstrates its use with different inputs.

Function Definition:

def maprange( a, b, s):
   (a1, a2), (b1, b2) = a, b
   return  b1 + ((s - a1) * (b2 - b1) / (a2 - a1))

• The maprange() function takes three arguments:

  • a: A tuple representing the source range as (a1, a2).
  • b: A tuple representing the target range as (b1, b2).
  • s: The input value within the source range.

• It calculates the corresponding value within the target range using linear interpolation.

Demonstration:

for s in range(11):
   print("%2g maps to %g" % (s, maprange( (0, 10), (-1, 0), s)))

• Two different ranges are used: (0, 10) as the source range and (-1, 0) as the target range.
• The loop iterates through values of s from 0 to 10 and prints the corresponding mapped value.
• It shows how values in the source range are linearly transformed to the target range.

Using Fractions:

from fractions import Fraction
for s in range(11):
   print("%2g maps to %s" % (s, maprange( (0, 10), (-1, 0), Fraction(s))))

• This part of the code demonstrates the use of the Fraction class from the fractions module.
• It creates Fraction objects for the input s values and passes them to the maprange() function.
• The result is printed as a string representation of the fraction.

Output:

• The output shows the original value (s) mapped to the corresponding value in the target range using two different representations:
  • As a floating-point number (indicated by %g format) using integers for s.
  • As a fraction using Fraction objects, also represented as strings.

The output demonstrates the linear transformation of values from the source range to the target range.

>>> def maprange( a, b, s):
	(a1, a2), (b1, b2) = a, b
	return  b1 + ((s - a1) * (b2 - b1) / (a2 - a1))

>>> for s in range(11):
	print("%2g maps to %g" % (s, maprange( (0, 10), (-1, 0), s)))

	
 0 maps to -1
 1 maps to -0.9
 2 maps to -0.8
 3 maps to -0.7
 4 maps to -0.6
 5 maps to -0.5
 6 maps to -0.4
 7 maps to -0.3
 8 maps to -0.2
 9 maps to -0.1
10 maps to 0


>>> from fractions import Fraction
>>> for s in range(11):
	print("%2g maps to %s" % (s, maprange( (0, 10), (-1, 0), Fraction(s))))

	
 0 maps to -1
 1 maps to -9/10
 2 maps to -4/5
 3 maps to -7/10
 4 maps to -3/5
 5 maps to -1/2
 6 maps to -2/5
 7 maps to -3/10
 8 maps to -1/5
 9 maps to -1/10
10 maps to 0
>>>