Step by Step solution about How to resolve the algorithm Zero to the zero power step by step in the Julia programming language

The provided Julia source code is a simple script that demonstrates the exponentiation operation (^) for different numeric types in Julia. It uses the using Printf statement to enable formatted printing.

The const types line defines a tuple containing the following numeric types: Complex, Float64, Rational, Int, and Bool.

The for loop iterates over all pairs of types in the types tuple, using the Tb and Te variables to represent the base and exponent types, respectively.

Inside the loop, the zb and ze variables are initialized to zero values of the Tb and Te types, respectively. The r variable is then set to the result of raising zb to the power of ze.

The @printf statement is used to print information about the types and values involved in the exponentiation operation. It uses formatted strings to specify the alignment and width of the printed values.

The output of the program will be a table showing the results of raising zb to the power of ze for all combinations of types in the types tuple. Each row in the table will show the base type (Tb), exponent type (Te), base value (zb), exponent value (ze), result value (r), and the type of the result (typeof(r)).

For example, if the types tuple contains Complex, Float64, Rational, Int, and Bool, the output might look something like this:

     Complex ^        Complex =  0.000000+0.000000i ^  0.000000+0.000000i =   0.000000+0.000000i (Complex{Float64})
        Complex ^        Float64 =  0.000000+0.000000i ^         1.000000 =   0.000000+0.000000i (Complex{Float64})
        Complex ^        Rational =  0.000000+0.000000i ^         1/1 =   0.000000+0.000000i (Complex{Float64})
        Complex ^           Int =  0.000000+0.000000i ^           1 =   0.000000+0.000000i (Complex{Float64})
        Complex ^          Bool =  0.000000+0.000000i ^           0 =   1.000000+0.000000i (Complex{Float64})
       Float64 ^        Complex =         1.000000 ^  0.000000+0.000000i =         1.000000 (Float64)
       Float64 ^        Float64 =         1.000000 ^         1.000000 =         1.000000 (Float64)
       Float64 ^        Rational =         1.000000 ^         1/1 =         1.000000 (Float64)
       Float64 ^           Int =         1.000000 ^           1 =         1.000000 (Float64)
       Float64 ^          Bool =         1.000000 ^           0 =         1.000000 (Float64)
       Rational ^        Complex =         1/1 ^  0.000000+0.000000i =         1/1 (Rational{BigInt})
       Rational ^        Float64 =         1/1 ^         1.000000 =         1/1 (Rational{BigInt})
       Rational ^        Rational =         1/1 ^         1/1 =         1/1 (Rational{BigInt})
       Rational ^           Int =         1/1 ^           1 =         1/1 (Rational{BigInt})
       Rational ^          Bool =         1/1 ^           0 =         1 (Rational{BigInt})
          Int ^        Complex =           1 ^  0.000000+0.000000i =   NaN+NaNim (Complex{Float64})
          Int ^        Float64 =           1 ^         1.000000 =         1.000000 (Float64)
          Int ^        Rational =           1 ^         1/1 =         1 (Int64)
          Int ^           Int =           1 ^           1 =           1 (Int64)
          Int ^          Bool =           1 ^           0 =           1 (Int64)
         Bool ^        Complex =           0 ^  0.000000+0.000000i =   NaN+NaNim (Complex{Float64})
         Bool ^        Float64 =           0 ^         1.000000 =         1.000000 (Float64)
         Bool ^        Rational =           0 ^         1/1 =         0 (Rational{BigInt})
         Bool ^           Int =           0 ^           1 =           0 (Bool)
         Bool ^          Bool =           0 ^           0 =           1 (Bool)

using Printf

const types = (Complex, Float64, Rational, Int, Bool)

for Tb in types, Te in types
    zb, ze = zero(Tb), zero(Te)
    r = zb ^ ze
    @printf("%10s ^ %-10s = %7s ^ %-7s = %-12s (%s)\n", Tb, Te, zb, ze, r, typeof(r))
end