symcalc/symcalc-ruby

Symbolic mathematics and calculus in Ruby

SymCalc Ruby

Website / License: Apache-2.0 / Changelog / Ruby , C++

SymCalc (which stands for Symbolic Calculus) is a library that introduces mathematics to code, where you can declare, evaluate, and differentiate any possible maths function with a single call.

SymCalc allows to write readable and flexible code, adding a lot of functionality along the way, like this:

fx = 5 * x ** 2 + sin(x)

Instead of hard-coded functions like this:

def fx(x)
    5 * x ** 2 + Math.sin(x)
end

Contents

• Example
• Basic usage
• Install
• Learning SymCalc
• Authors

Example

require 'symcalc'
include SymCalc

# SymCalc variable
x = var("x")

# SymCalc function
fx = x ** 2 * 5 - 4 * sin(exp(x))

# SymCalc derivative
dfdx = fx.derivative()

# SymCalc evaluate
value = dfdx.eval x: 5

puts value

Basic usage

1. Require SymCalc:

require 'symcalc'
include SymCalc

2. Define a variable:

x = var("x")

3. Define a function:

fx = x ** 2

4. Evaluate:

value = fx.eval(x: 4)
# or
value = fx(x: 4)

5. Differentiate:

dfdx = fx.derivative

6. Multi-variable!:

x = var("x")
y = var("y")

fxy = x ** 2 - 4 * abs(y)

dfdx = fxy.derivative(variable: x)
dfdy = fxy.derivative(variable: y)

7. Display:

puts fx # Prints the function

8. Run:

ruby main.rb

9. See more on the website!

Install

Run:

gem install symcalc

Learning SymCalc

You can learn more about SymCalc on these resources:

• SymCalc's Website
• Intro
• Examples
• Docs

Authors

SymCalc is currently developed and maintaned by Kyryl Shyshko (@kyryloshy)