📐 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

📄 License

GoogolSharp is licensed under LGPL-3.0, and it uses QuadrupleLib, which is licensed under the same license. You can find the full license and source code for QuadrupleLib here:

• QuadrupleLib GitHub Repository
• License: LGPL-3.0