Experimental project - work in progress

TODOs

• (algo.7) Exponential function
• (algo.8) Logarithm to base $B^\prime$
• (algo.9) Arctangent
• (algo.10) Sine function
• Math expression - lexer/tokenizer
• Math expression - parser
• Math expression - evaluation

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epsilon

An arbitrary precision arithmetic library for computable real numbers.

Highlights

• Lazy evaluation: Dynamically adjusts precision as needed, enabling efficient computations and on-demand accuracy.
• Supported domains:
  • Z: Big integer numbers.
  • R: Computable real numbers, supporting operations with dynamic precision.
• Algorithmic foundation: Based on algorithms by V. Menissier-Morain and Donald Knuth, ensuring mathematical rigor and reliability.
• Modern C++: Written in modern C++ (C++23), leveraging concepts, coroutines, and advanced type traits for performance and clarity.
• Cross-platform: The library can be compiled by clang, g++, and cl (MSVC).

Features

• Efficient, on-demand computation of real numbers with adjustable precision.
• Operator overloading for natural arithmetic expressions.
• Conversion utilities for parsing and formatting numbers.
• Extensible design for custom digit and container types.

References

• V. Menissier-Morain, "Arbitrary Precision Real Arithmetic: design and algorithms"
• Donald Knuth, "The Art of Computer Programming"