Step by Step solution about How to resolve the algorithm Extreme floating point values step by step in the Julia programming language

Explanation of the Julia Source Code:

1. Function showextremes():

• This function demonstrates how Julia handles extreme numerical values like infinity (Inf), negative infinity (-Inf), and NaN (Not-a-Number).
• It defines an array values containing these extreme values and then calculates and prints the results of dividing 1 by each value.

2. Calling showextremes():

• The showextremes() function is called, and its output is printed.

3. Displaying Special Values with @show:

• The @show macro is used to display the results of various operations involving Inf and NaN.
• It provides a more detailed representation of these values compared to the standard output.

4. Arithmetic Operations with Inf and NaN:

• The @show macro is used to display the results of various arithmetic operations involving Inf and NaN.
• These operations produce special values following specific mathematical rules:
  • Inf + 2.0 results in Inf.
  • Inf + Inf results in Inf.
  • Inf - Inf results in NaN.
  • Inf * Inf results in Inf.
  • Inf / Inf results in NaN.
  • Inf * 0 results in NaN.

5. Equality Comparisons with 0 and NaN:

• The == operator is used to compare 0 with -0, and NaN with NaN.
• In Julia, 0 and -0 are considered equal, while NaN values are always unequal.

function showextremes()
  values = [0.0, -0.0, Inf, -Inf, NaN]
  println(1 ./ values)
end

showextremes()

@show Inf + 2.0
@show Inf + Inf
@show Inf - Inf
@show Inf * Inf
@show Inf / Inf
@show Inf * 0
@show 0 == -0
@show NaN == NaN
@show NaN === NaN