Arbitrary Width Integers

This system of crates together forms a kind of big-integer library with separated storage and functional structs, manually controlled bitwidth, and bitwidth dependent operations. Instead of one struct that has all of the allocation and functional capabilities, there are 3 storage types which manage allocation: InlAwi, ExtAwi, and Awi. There is a common Bits reference type that manages fixed width arithmetical functionality. Most operations on Bits are const and have no allocations. Bits backed by InlAwi can perform big-integer arithmetic both at compile time and in a no-std runtime without any allocator at all. Bits backed by ExtAwi can use dynamic bitwidths at runtime. Awi has capacity and cheap bitwidth resizing. If a function is written purely in terms of Bits, then any mix of InlAwis, ExtAwis, and Awis can be used as arguments to that function with the help of their Deref<Target = Bits> impls.

A generic FP struct for fixed point numbers is also included, adding more functions for it is currently a WIP. In the future, Awi should also be able to have automatic resizing functions like in traditional bigint libraries.

Bits and InlAwi are provided by the awint_core crate. ExtAwi, Awi, and FP are provided by the awint_ext crate. The reason for this split is to provide maximum flexibility to no-std and no-alloc use cases. ExtAwi is not within awint_core under a feature flag, because if a no-alloc project depended on both awint_core and awint_macros (which requires ExtAwi), the flag would be activated for the common compilation of awint_core. The awint_macros crate is a proc-macro crate with several construction utilities. The awint_dag crate supplies a way to use awint types as a DSL (Domain Specific Language) for combinational logic. The awint crate compiles these interfaces together and enables or disables different parts of the system depending on these feature flags:

• "const_support" turns on nightly features that are needed for many functions to be const
• "alloc" turns on parts that require an allocator
• "std" turns on parts that require std
• "dag" turns on awint_dag
• "try_support" turns on some features required for dag::Option and dag::Result to fully work
• "debug" turns on some developer functions
• "rand_support" turns on a dependency to rand_core without its default features
• "serde_support" turns on a dependency to serde without its default features
• "zeroize_support" turns on a dependency to zeroize without its default features

Note: By default, "std" and "try_support" is turned on, use default-features = false and select specific features to be more specific.

NOTE: As of Rust 1.98-nightly, if you try to use "const_support" with the macros you may get errors unless you add

#![feature(const_trait_impl)]
#![feature(const_convert)]

to all of the crate roots where you use the macros in const contexts. "const_support" can require specific versions of nightly Rust (see #19).

NOTE: This crate is based on using the Miri flags -Zmiri-tree-borrows -Zmiri-strict-provenance.

Planned Features

These are currently unimplemented because of other developments and improvements that are being prioritized. Please open an issue or PR if you would like these implemented faster.

• We need a macro for optimizing 2 input, 1 output functions to our inplace style functions. The base inplace assignment functions can have virtual counterparts (e.g. x.add_(y) would have the alternative z = x.add(y) or z = x + y) and the macro optimizes storage creation and routing.
• Add some missing functions to the mimicking primitives in awint_dag
• There are many things more to be done with awint_dag
• Add more functions to FP
• Some kind of matching macro
• Add traditional big-integer library functions to Awi
• Add a const Karatsuba algorithm to multiplication if possible, or add a fast_mul function to awint_ext
• Better string serialization and deserialization performance. Most basic numerical functions are well optimized, but the serialization performance is currently very bad compared to what is possible.
• Add custom allocator parameter to ExtAwi
• Certain formatting and serialization trait impls need more work.
• Make "const_support" compile on stable. Almost every unstable feature used by these crates is some kind of const feature, and will hopefully be stabilized soon.

License

^{Licensed under either of Apache License, Version 2.0 or MIT license at your option.}
_{Unless you explicitly state otherwise, any contribution intentionally submitted for inclusion in this crate by you, as defined in the Apache-2.0 license, shall be dual licensed as above, without any additional terms or conditions.}