Differentiator

Table of Contents

• Overview
• Features
• Usage
• Build and Run
• Example

Overview

Differentiator is a C/C++ program that performs symbolic differentiation of mathematical expressions represented as trees. It supports calculation of total differential, partial derivatives and generation of results in LaTeX format.

Features

• Symbolic differentiation of expressions of any complexity
• Full differential support
• Calculation of partial derivatives
• Generating output in .tex-file with beautiful layout
• Expression tree visualisation via Graphviz
• Expression simplification
• Support for basic operations and elementary functions

Usage

1. Input data: text file with a mathematical expression
2. Differentiation: the programme calculates the derivative or total differential
3. Visualisation: generation of Graphviz-graphs (optional)
4. Result: output to a .tex file with formulas in LaTeX notation

Build and Run

To build and run the Differentiator:

git clone git@github.com:rAch-kaplin/Differentiator.git

make

./do -i expr.txt -o tex_file.tex

Example

The input file is expr.txt:

sh(x * y + 1) + arctg((x^2 + y^2) / (x - y)) + sin(y)$

A tree that can be built using the graphviz library

Example of a report that TeX will generate

Example PDF output