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with_bigfloat_precision

with_bigfloat_precision(f::Function,precision::Integer)

Change the BigFloat arithmetic precision (in bits) for the duration of f. It is logically equivalent to:

old = get_bigfloat_precision()
set_bigfloat_precision(precision)
f()
set_bigfloat_precision(old)

Examples

In the Julia programming language, the function with_bigfloat_precision(f::Function, precision::Integer) is used to change the precision of BigFloat arithmetic for the duration of a specific function f. The function works in the following way:

old = get_bigfloat_precision()
set_bigfloat_precision(precision)
f()
set_bigfloat_precision(old)

Now, let's provide some examples of how to use this function:

1. Perform calculations with increased precision:

   julia> function calculate_pi()
             with_bigfloat_precision() do
                 return 4 * atan(BigFloat(1))
             end
         end
   
   julia> calculate_pi()
   3.141592653589793238462643383279502884197169399375105820974944592307816406286198
   

   In this example, the calculate_pi function uses with_bigfloat_precision to temporarily increase the precision for the duration of the calculation. This allows for a more accurate approximation of π.

2. Perform matrix operations with higher precision:

   julia> function matrix_multiplication(A, B)
             with_bigfloat_precision() do
                 return A * B
             end
         end
   
   julia> A = BigFloat[1.0 2.0; 3.0 4.0]
   julia> B = BigFloat[5.0 6.0; 7.0 8.0]
   
   julia> matrix_multiplication(A, B)
   2×2 Array{BigFloat,2}:
   19.0  22.0
   43.0  50.0
   

   Here, the matrix_multiplication function uses with_bigfloat_precision to ensure that the multiplication of matrices A and B is performed with the desired precision.

Common mistake example:

julia> function calculate_sqrt(x)
           result = 0
           with_bigfloat_precision() do
               result = sqrt(x)
           end
           return result
       end

In this example, the calculate_sqrt function tries to use with_bigfloat_precision without specifying the desired precision. The precision argument is missing, which will result in an error. Always provide the desired precision as the second argument to with_bigfloat_precision.

See Also

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