Combine all conversion utilities into a single module

Default canonical reference frame used for standard computations In the Prime Framework, this represents the fixed reference point x ∈ M

Common conversion step: base conversion

Calculate the greatest common divisor (GCD) for fraction simplification

Compute the coherence inner product between two universal coordinate representations This function implements the positive-definite inner product ⟨·,·⟩c defined in the Prime Framework

Compute the coherence norm of universal coordinates This implements the norm derived from the coherence inner product

Compute digits directly from prime factorization for certain bases This is faster than going through BigInt for some special cases

Convert a number from one base to another

Optimized direct base conversion utility Converts a number between different bases using universal coordinates Implements efficient algorithms that leverage prime factorization properties

Convert a BigInt to a string representation in the given base

Common conversion step: convert to universal coordinates

Creates a conversion pipeline for processing large sets of numbers This allows efficient batch processing with minimal intermediate transformations

Create a new reference frame for the Prime Framework Each reference frame corresponds to a fiber in the Prime Framework's algebraic geometry

Convert a prime factorization to a string representation in the given base

Convert a prime factorization to a BigInt value This is a standalone version of the method for converting a factorization to its numeric value

Create a string representation of a prime factorization

Convert a BigInt to a factorized universal representation

Convert a JavaScript Number to a factorized universal representation Floors the number if it's not an integer, throws an error if not safe (above 2^53)

Parse a string representing a number in a given base and convert to universal coordinates

Get the Clifford algebra at this reference point In the Prime Framework, the fiber at each point is modeled as a Clifford algebra Cx

Get the digit character set for a specific base Supports extended bases beyond the standard 36

Extract the digits of a number in a specific base

Helper function to safely extract error message Non-recursive implementation to avoid stack overflows

Check if universal coordinates are in canonical (minimal norm) form This implements the coherence criteria from the Prime Framework specification as detailed in lib-spec.md section "Coherence Inner Product and Norm"

Determines if a given number is a valid prime This ensures the factorization contains only actual primes as required by the Prime Framework

Parses a string representation of a prime factorization Accepts formats like "2^3 × 3^2 × 5", "2^3 * 3^2 * 5", "22233*5", a single term like "2^4" Also handles negative representations like "-(2^3 × 3)" or "-1"

Convert a number, string, or BigInt to a fraction (numerator/denominator) This is useful for exact representation of decimal values

Serializes number data to JSON format with advanced options

Convert a number to a string representation in scientific notation

Transform coordinates from this frame to another This implements the G-action on M that carries representations between fibers As described in lib-spec.md's section on Topological and Geometric Framework

Try optimized base conversion shortcuts for common bases Provides fast conversion paths for common base combinations like binary ↔ hexadecimal

Validates if a string is a valid representation of a number in the given base

Conversion pipeline configuration options

Conversion pipeline step definition

Get the digit representation of a number in a specific base This extracts digits directly from the value

Parses a JSON string back to number data with advanced options

Represents a reference frame in the Prime Framework A reference frame defines a specific algebraic context for universal coordinates This corresponds to a point on the smooth reference manifold M described in lib-spec.md

Advanced serialization format options Provides different serialization strategies for universal coordinates