DixonRes

DixonRes / DixonRes-Cross

Public

A cross-platform C library for computing Dixon resultants and solving polynomial systems

computer-algebra equation-solver mathematics polynomial-arithmetic polynomial-equations
10
2
100% credibility
Found Mar 26, 2026 at 10 stars -- GitGems finds repos before they trend. Get early access to the next one.
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AI Analysis
C
AI Summary

DixonRes is a user-friendly command-line tool and C library for computing Dixon resultants to eliminate variables from polynomial systems and solving equations over finite fields or rational numbers.

How It Works

1
🔍 Discover DixonRes

You hear about a handy math tool that solves tough polynomial equations and computes resultants without needing to be a programmer.

2
📥 Get it running

Download the ready-made package for your computer (Windows, Mac, or Linux) and follow the simple setup steps to launch the tool.

3
📝 Describe your math problem

Type your polynomials as simple equations like 'x+y+z, x*y+y*z+z*x' and pick a field size, like a prime number or over rationals.

4
🚀 Run and watch magic

Hit enter with one command, and the tool crunches your equations, showing progress and estimating difficulty before delivering results.

5
Choose your goal
✅
Solve system

Get all solutions listed clearly

📊
Check complexity

See if your problem is feasible before full computation

🎲
Test randomly

Create sample problems to practice

6
📁 Review results

Open the automatic output file with your solutions, resultants, or complexity report, ready to use.

🎉 Math problems conquered

You've solved polynomial systems or computed resultants effortlessly, saving hours of manual work.

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Star Growth

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AI-Generated Review

What is DixonRes-Cross?

DixonRes-Cross is a cross-platform C library and CLI tool for computing Dixon resultants to eliminate variables from polynomial systems, plus solving small nonlinear systems over finite fields or rationals. Built on FLINT for fast arithmetic, it handles prime fields F_p (any size), binary extensions like F_{2^8} to F_{2^128}, and rationals via reconstruction. Users get a shared/static library plus a `dixon` executable that processes string inputs like `"x+y+z, x*y+y*z+z*x, x*y*z+1" "x,y" 257` and outputs results or solutions to files.

Why is it gaining traction?

It stands out with a dead-simple CLI for resultant computation and system solving—no need to embed C code for quick tests—plus built-in complexity estimation (`--comp`) to predict runtime before committing, and random polynomial generation (`--random`) for benchmarking. Cross-platform Windows/macOS/Linux support via CMake, optional PML acceleration for primes, and modes like ideal reduction or field-equation cuts make it practical for real computations on GitHub-hosted cross-platform projects.

Who should use this?

Computational algebra researchers tackling elimination ideals or cryptographers solving polynomial systems over finite fields in crypto challenges. C developers building cross-platform tools needing lightweight polynomial solvers, or anyone prototyping systems before scaling to Sage/Magma—especially for binary fields common in coding theory.

Verdict

Grab it if you need fast Dixon resultants in C; the CLI alone justifies a test drive despite 10 stars and 1.0% credibility signaling early maturity. Docs are solid with examples, tests run via `ctest`, but expect tweaks for production—solid foundation for cross-platform computing library needs.

(198 words)

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