tftsr-devops_investigation/node_modules/fraction.js/examples/hesse-convergence.js
Shaun Arman 8839075805 feat: initial implementation of TFTSR IT Triage & RCA application
Implements Phases 1-8 of the TFTSR implementation plan.

Rust backend (Tauri 2.x, src-tauri/):
- Multi-provider AI: OpenAI-compatible, Anthropic, Gemini, Mistral, Ollama
- PII detection engine: 11 regex patterns with overlap resolution
- SQLCipher AES-256 encrypted database with 10 versioned migrations
- 28 Tauri IPC commands for triage, analysis, document, and system ops
- Ollama: hardware probe, model recommendations, pull/delete with events
- RCA and blameless post-mortem Markdown document generators
- PDF export via printpdf
- Audit log: SHA-256 hash of every external data send
- Integration stubs for Confluence, ServiceNow, Azure DevOps (v0.2)

Frontend (React 18 + TypeScript + Vite, src/):
- 9 pages: full triage workflow NewIssue→LogUpload→Triage→Resolution→RCA→Postmortem→History+Settings
- 7 components: ChatWindow, TriageProgress, PiiDiffViewer, DocEditor, HardwareReport, ModelSelector, UI primitives
- 3 Zustand stores: session, settings (persisted), history
- Type-safe tauriCommands.ts matching Rust backend types exactly
- 8 IT domain system prompts (Linux, Windows, Network, K8s, DB, Virt, HW, Obs)

DevOps:
- .woodpecker/test.yml: rustfmt, clippy, cargo test, tsc, vitest on every push
- .woodpecker/release.yml: linux/amd64 + linux/arm64 builds, Gogs release upload

Verified:
- cargo check: zero errors
- tsc --noEmit: zero errors
- vitest run: 13/13 unit tests passing

Co-Authored-By: Claude Sonnet 4.6 (1M context) <noreply@anthropic.com>
2026-03-14 22:36:25 -05:00

112 lines
2.0 KiB
JavaScript

/*
Fraction.js v5.0.0 10/1/2024
https://raw.org/article/rational-numbers-in-javascript/
Copyright (c) 2024, Robert Eisele (https://raw.org/)
Licensed under the MIT license.
*/
const Fraction = require('fraction.js');
/*
We have the polynom f(x) = 1/3x_1^2 + x_2^2 + x_1 * x_2 + 3
The gradient of f(x):
grad(x) = | x_1^2+x_2 |
| 2x_2+x_1 |
And thus the Hesse-Matrix H:
| 2x_1 1 |
| 1 2 |
The inverse Hesse-Matrix H^-1 is
| -2 / (1-4x_1) 1 / (1 - 4x_1) |
| 1 / (1 - 4x_1) -2x_1 / (1 - 4x_1) |
We now want to find lim ->oo x[n], with the starting element of (3 2)^T
*/
// Get the Hesse Matrix
function H(x) {
var z = Fraction(1).sub(Fraction(4).mul(x[0]));
return [
Fraction(-2).div(z),
Fraction(1).div(z),
Fraction(1).div(z),
Fraction(-2).mul(x[0]).div(z),
];
}
// Get the gradient of f(x)
function grad(x) {
return [
Fraction(x[0]).mul(x[0]).add(x[1]),
Fraction(2).mul(x[1]).add(x[0])
];
}
// A simple matrix multiplication helper
function matrMult(m, v) {
return [
Fraction(m[0]).mul(v[0]).add(Fraction(m[1]).mul(v[1])),
Fraction(m[2]).mul(v[0]).add(Fraction(m[3]).mul(v[1]))
];
}
// A simple vector subtraction helper
function vecSub(a, b) {
return [
Fraction(a[0]).sub(b[0]),
Fraction(a[1]).sub(b[1])
];
}
// Main function, gets a vector and the actual index
function run(V, j) {
var t = H(V);
//console.log("H(X)");
for (var i in t) {
// console.log(t[i].toFraction());
}
var s = grad(V);
//console.log("vf(X)");
for (var i in s) {
// console.log(s[i].toFraction());
}
//console.log("multiplication");
var r = matrMult(t, s);
for (var i in r) {
// console.log(r[i].toFraction());
}
var R = (vecSub(V, r));
console.log("X" + j);
console.log(R[0].toFraction(), "= " + R[0].valueOf());
console.log(R[1].toFraction(), "= " + R[1].valueOf());
console.log("\n");
return R;
}
// Set the starting vector
var v = [3, 2];
for (var i = 0; i < 15; i++) {
v = run(v, i);
}