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Arbitrary-precision integer

As explained in Julia as a Second Language

BigInt is Julia's arbitrary-size integer type, capable of representing integers beyond fixed-width integer ranges.

Julia’s BigInt type represents integers of arbitrary size, making it useful when fixed-width types such as Int128 cannot hold a value. Julia does not automatically widen overflowing integer operations, so BigInt is an explicit choice rather than an automatic fallback. section 2.3

Create a big integer with BigInt(42), or use the big"42" literal. The literal is parsed into a BigInt when the program is parsed, avoiding repeated conversion during execution. section 11.4.4 section 11.4

Choosing BigInt for a large value

Use BigInt when a fixed-width integer is not sufficient: n = BigInt(42). For repeated creation of the same constant, prefer big"42" so Julia creates the big integer during parsing rather than converting it each time the code runs. section 2.3 section 11.4.4

Keep these practical trade-offs in mind:

  • Choose BigInt only when necessary: its flexibility costs more memory and lower performance. section 2.3
  • Use BigInt explicitly because Julia does not automatically promote an overflowing fixed-width arithmetic result to a larger integer type. section 2.3
  • Treat big"..." as a specialized literal form rather than an ordinary string conversion. section 11.4.4

How Julia as a Second Language covers it

How deep it goes
Defines arbitrary-size integers, explains conversion and literal creation, and stops short of broader macro details.
Examples
Uses BigInt(42), big"42", fixed-width overflow, and parse-time construction as practical examples.
What it assumes
Assumes awareness of Julia’s fixed-width integer types and integer overflow before introducing arbitrary precision.
What you can do after
Apply BigInt and big literals to represent integers larger than fixed-width ranges while recognizing their performance cost.
How it connects
Connects BigInt with integer overflow, fixed-width integer types, parsing, string literals, and macros.

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