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.
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Custom struct
Arithmonymfor representing very large or very small numbers. -
Compact 96‐bit word layout for efficient storage.
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Support for:
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Negative numbers
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Reciprocal values (numbers below 1)
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Fractional precision
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Googological giants (numbers with symbolic "letters")
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Extensible design for mathematical operations and future numeric extensions.
| 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.
.NET 8or laterC# 12or laterQuadrupleLib.Float128
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