Calculator

About

A commandline tool to calculate integrals/derivatives (and maybe more later) of mathematical expressions. For now, the expressions can only have one variable in them (derivatives always differentiate with respect to X, as do integrals integrate).

Made in school on a Chromebook using Godbolt.

Usage

Integration

calc "x^2 + 3*x + 5" i midpoint 0 5 4
     ^- expression   ^ ^        ^ ^ ^- # of parts
                     ^ ^        ^ ^- high
                     ^ ^        ^- low
                     ^ ^- method
                     ^- i for integration

Methods include:

• “lefthand”
• “righthand”
• “midpoint”
• “trapezoid”
• “simpsons”

A higher # of parts will give you more precision.

Differentiation

calc "x^2 + 3*x + 5" d
                     ^- d for differentiation

Finds the derivative with respect to x.

Simplification

calc "5 * x / 5 + 2 - 2" s
                         ^- s for simplification

Simplifies the expression by eliminating unnecessary terms, using a few rules. There's definitely more to add here.

Chained

You can chain together operations like this:

calc "x^(3/2) - 2 * (1 / x) i midpoint 1 2 3 d d s

Building

This was also written to learn Crystal. I think it's a nice language, but I added a Makefile for simplicity:

Build (debug)

make all

Build ("release")

make MODE=release all