yoki-plugin-math

Advanced math calculator for Yoki — trigonometry, integrals, derivatives, plots, and constants reference.

Language: JavaScript (Node.js, pure stdlib — zero dependencies)

Install

git clone <repo-url> ~/yoki/plugins/math

Requires: Yoki >= 1.0.4.0, Node.js >= 14

Commands

Trigger	Command	Mode	Description
math <expr>	calc	detail	Evaluate any expression
math trig <expr>	trig	detail	Trig with deg/rad support
math int <f(x)> <a> <b>	integrate	detail	Numerical integration (Simpson)
math der <f(x)>	derive	detail	Symbolic differentiation
math plot <f(x)> <min> <max>	plot	detail	ASCII function graph
math const	constants	list	Constants & formulas reference

Examples

math 2^8 + sqrt(144)          → 268
math sin(pi/4)^2 + cos(pi/4)^2 → 1
math log2(1024)                → 10
math 10!                       → 3628800
math trig table 60             → all trig values for 60°
math int x^2 0 10              → ≈ 333.333
math der sin(x^2)              → cos(x^2)·2x
math plot sin(x) -pi pi        → ASCII sine wave
math const                     → π, e, φ, formulas...

Features

• Safe evaluator — recursive descent parser, no eval()
• Implicit multiplication — 2pi, 3(4+5), 2x
• Factorial — 5! = 120
• All trig functions — sin, cos, tan, csc, sec, cot + inverses + hyperbolic
• Logarithms — ln, log2, log10
• Symbolic derivatives — chain rule, product rule, quotient rule, power rule
• Numerical integration — composite Simpson's rule (n=10000)
• ASCII plots — with zero-axes, y-labels, proper scaling
• Constants reference — math + physics + formulas + trig identities
• Cross-command actions — derive → plot, integrate → plot, etc.

SDK v2 Showcase

This plugin demonstrates the Yoki Plugin SDK v2 in JavaScript/Node.js:

Feature	File
Detail mode with rich HTML	calc.js, trig.js, integrate.js, derive.js, plot.js
List mode with categories	constants.js
Metadata sidebar	all commands
Copy action	calc.js, trig.js, derive.js
Cross-plugin yoki_run actions	integrate.js ↔ plot.js ↔ derive.js
Query parsing	all commands
Zero dependencies	pure Node.js stdlib

File Layout

yoki-plugin-math/
├── plugin.json      manifest (v2 protocol)
├── lib.js           SDK helpers + safe math evaluator
├── calc.js          general calculator
├── trig.js          trigonometry
├── integrate.js     numerical integration
├── derive.js        symbolic differentiation
├── plot.js          ASCII function plotter
├── constants.js     constants & formulas reference
├── LICENSE          MIT
└── README.md