"Complex128" (Compiled Type)

"Complex128"

represents a complex number with IEEE double‐precision real and imaginary parts atomic type specifier.

Details

  • "Complex128" can be used in Typed and related constructs to specify a type.
  • "ComplexReal64" and "Complex128" describe the same type.

Properties

  • The real and imaginary values held by "Complex128" range from -16^^.FFFFFFFFFFFFF8*^256 to 16^^.FFFFFFFFFFFFF8*^256.

Conversions

    From Expressions

  • Suitably sized Complex expressions with real and imaginary parts that are Real can be converted into compiled elements with the type "Complex128".

    • To Expressions

  • Compiled elements with the type "Complex128" can be converted into Complex expressions with Real real and imaginary parts.

    • Arithmetic

  • Integers and reals are automatically promoted to "Complex128" elements when they are combined in binary arithmetic operations.

Runtime Errors

    Overflow

  • "Complex128" can give a runtime error if it is used in an operation that overflows.

Examples

Basic Examples  (2)

"Complex128" can be used as an input and output from a CompiledCodeFunction:

An overflow causes an error while running the function. The computation is terminated, a message is issued and the Wolfram Engine is used to compute the result: