📐 GoogolSharp

GoogolSharp is a C# library for working with extremely large numbers — inspired by googology and advanced numeric representations. It introduces a numeric type called Arithmonym, designed to efficiently encode and manipulate values far beyond conventional floating‑point ranges.

✨ Features

  • Custom struct Arithmonym for representing very large or very small numbers.

  • Compact 96‑bit word layout for efficient storage.

  • Support for:

    • Negative numbers

    • Reciprocal values (numbers below 1)

    • Fractional precision

    • Googological giants (numbers with symbolic “letters”)

  • Extensible design for mathematical operations and future numeric extensions.

🔢 Bit Layout (96 bits total)

Bits Description
1 _IsNegative - Sign Bit
1 _IsReciprocal - reciprocal flag (for numbers < 1)
6 Letter - symbolic representation for scale (tiny numbers to googological)
3 OperandFloored - Since Operand is always less than 10, and >=2, Floor(Operand) - 2 encodes cleanly in 3 bits.
85 OperandFraction128 - The 128 is because the property returns a UInt128, and this is the fractional part of the Operand.

All this cleanly fits into 96 bits. Since this is not a power of two it is represented in three uints.

⚖️ Dependencies

  • .NET 7 or later
  • C# 11 or later
  • QuadrupleLib.Float128 (Download the library with git clone https://github.com/IsaMorphic/QuadrupleLib.git)
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