Cubit

A fixed point math library in 64.64 representation built for Cairo 1.0 & Starknet. Successor to influenceth/cairo-math-64x61

Cubit is currently a WORK IN PROGRESS and should not be used in production (yet). Contributions are welcomed.

Usage

Cubit was built with auditless/cairo-template, reference its installation guide to install dependencies.

Signed 64.64 Fixed Point Numbers

A signed 64.64-bit fixed point number is a fraction in which the numerator is a signed 128-bit integer and the denominator is 2^64. Since the denominator stays the same there is no need to store it (as in a floating point value).

Can represent values in the range of -2^64 to 2^64 with precision to 1e-20.

Core Library

cubit::core includes the following implementations for the Fixed type:

• FixedTrait::from_felt - creates a Fixed type from a pre-scaled felt
• FixedTrait::from_int - creates and scales a felt into a Fixed type
• Into (fixed.into()) - converts the Fixed value into a felt
• Add (+)
• AddEq (+=)
• Sub (-)
• SubEq (-=)
• Mul (*)
• MulEq (*=)
• Div (/)
• DivEq (/=)
• PartialEq (==, !=)
• PartialOrd (>, >=, <, <=)
• fixed.ceil
• fixed.exp
• fixed.floor
• fixed.ln
• fixed.log2
• fixed.log10
• fixed.pow
• fixed.round
• fixed.sqrt

License

MIT © Unstoppable Games, Inc.