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59 lines
2 KiB
Markdown
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---
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id: 2115
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title: Simplifying Expressions with Octave
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date: 2017-03-09T02:09:58+00:00
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author: Brandon Rozek
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layout: post
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guid: https://brandonrozek.com/?p=2115
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permalink: /2017/03/simplifying-expressions-octave/
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format: aside
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kind:
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- note
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---
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Octave is a high level programming language intended for numerical computations. One of the cool features of this is that with symbolic expressions, you can then simplify mathematical expressions.
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<!--more-->
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## Setup
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First install [Octave](https://www.gnu.org/software/octave/) and the [symbolic package](https://octave.sourceforge.io/symbolic/) using the website or your package manager of choice.
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Then in octave type in the following code
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pkg load symbolic
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## Usage
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For every variable not defined earlier in your expression, make sure to declare it as a symbolic data type
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<pre class='language-MATLAB'><code class='language-MATLAB'>syms x y</code></pre>
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Then make an expression
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<pre class='language-MATLAB'><code class='language-MATLAB'>
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expr = y + sin(x)^2 + cos(x)^2
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</code></pre>
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You can then ask Octave to simplify the expression for you
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<pre class='language-MATLAB'><code class='language-MATLAB'>
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simp_expr = simplify(expr)
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</code></pre>
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Displaying it shows it as
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<pre class='language-MATLAB'><code class='language-MATLAB'>(sym) y + 1</code></pre>
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Which is indeed a simplification using a trig identity 🙂
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