Readme (#20)

Author: tian-lt-personal

docs/imgs/epsilon.svg

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+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
+
+---
+
+![](./docs/imgs/epsilon.svg)
+
+# 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"