integra

A REPL calculator with complex numbers, symbolic differentiation, SVG graphing, fractals, calculus, and algebra solving — compiled to WASM for the web.

Quick start

./build.sh

Serve dist/ or run npm run dev in web/.

The build.sh script handles Rust installation, WASM target, wasm-bindgen-cli, and the NixOS linker workaround automatically. For Cloudflare Pages, set the build command to ./build.sh and publish directory to dist/.

Features

Expressions

Category	Examples
Arithmetic	2 + 3, 4 * 5, 10 / 2, 2^3
Implicit multiplication	4i, 2x, sin(x)cos(x), 2(x+1)
Comparison	>, >=, <, <=, ==, != (returns 0 or 1)
Trig	sin(x), cos(x), tan(x)
Reciprocal trig	csc(x), sec(x), cot(x)
Inverse trig	asin(x), acos(x), atan(x)
Inverse recip.	acsc(x), asec(x), acot(x)
Hyperbolic	sinh(x), cosh(x), tanh(x)
Recip. hyperbolic	csch(x), sech(x), coth(x)
Inverse hyperbolic	asinh(x), acosh(x), atanh(x)
Log/Exp/Sqrt	ln(x), log(x), log2(x), log10(x), exp(x), sqrt(x)
Complex	conj(x), re(x), im(x), i
Rounding	floor(x), ceil(x), round(x)
Other	abs(x), sign(x)
Special	gamma(x), erf(x)
Constants	pi, tau, e, phi, i
Variables	x, ans (last computed result)

Commands (all start with :)

Command	Description
:help	Show help message
:quit	Exit the REPL
:solve <expr>	Solve linear equation expr = 0 for x
:solveq <expr>	Solve quadratic equation expr = 0 for x
:deriv <expr> [at <x>]	Symbolic derivative, optionally evaluate
:integral <expr> from <a> to <b>	Numerical definite integral from a to b
:integral <expr>	Show indefinite integral (antiderivative)
:graph <expr> [from <a> to <b>]	Plot function as SVG, open in browser
:mandelbrot [w h iter]	Generate Mandelbrot set SVG (default 200×200×100)
:julia <re> <im> [w h iter]	Generate Julia set SVG for parameter c
:explain deriv <expr> [at <x>]	Show symbolic derivative steps

Calculus

• Derivative: symbolic differentiation with chain/product/quotient rules
• Integral: Simpson's adaptive quadrature; supports inf, -inf bounds
• Antiderivative: reverses derivative rules for simple expressions

SVG Graphing

• Function plots: :graph sin(x) from -5 to 5
• Mandelbrot set: :mandelbrot 200 200 100
• Julia sets: :julia -0.7 0.27 200 200 100
• SVGs render inline in the browser

Project layout

• wasm/ — Rust crate compiled to WASM
• web/ — Astro frontend with TypeScript REPL
• dist/ — built static output