Calculator

From Adam Colton
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I've never found an online calculator I like. I've never really found a decent replacement for my TI graphing calculator. In a terminal, I generally use something like Python.

I'd like to make an online math terminal. The user can enter basic expressions and see their evaluation. Users can define functions and evaluate them at points, or open them as a graph in a new window.

I'd like to include a whole host of common equations divided into namespaces.

Users can also have their own namespaces. By default, these will be kept in local storage. I'll add someway to do manual syncing (or possibly WebRTC), but users with a State Transition account will get something like 20M/year.

Functions

Basic

 Sum(a,b) => a+b

Named

 Triangle(l length, b base) => 0.5*l*b

Namespaces

Breaks up working areas. Namespaces should be lazy loaded.

Types

Not entirely sure how I want to handle this. By default, everything is just sort of a number. Maybe a big-num, maybe a representative type (keep fractions and some types of irrationals like exponents and factors of special irrationals).

  • Angles
    • degree
    • radian
    • percent
  • Int
  • Double (for faster computation)
  • Matrices

Core

Operators

 Arithmetic: +, -, *, /
 Modular: //, %
 Exponent: **
 Binary: &, |, ~, ^
 Compare: =, <, >, <>
 Assign: =>

Commands

  • use: switch namespace
  • graph: graphs a function
  • clear: clears the log

Need to Support

  • Basic algebra/arithmatic
  • Graphing; basic 2d/3d and color for higher dimensions
  • Geometry
    • Trig funcs
    • area (namespace)
    • volume (namespace)
  • Find roots: given a function, find the roots

Appearance

A text-box across the top for input. As you type, it will attempt validation. If it can evaluate without invoking non-functional commands it will update the output in real time. When the user hits enter, two lines will be added to the log, one with the input, one with the output.