# SOLID principles by examples: Liskov Substitution Principle

In this post we’re going to explore the third of the SOLID principles: the Liskov Substitution Principle (LSP).

The most practical definition of this principle was written by Robert C. Martin in his book Agile Software Development, Principles, Patterns, and Practices.

Subtypes must be substitutable for their base types.

The concept was introduced by Barbara Liskov in 1987. The formal definition is:

Let q(x) be a property provable about objects x of type T. Then q(y) should be provable for objects y of type S where S is a subtype of T.

For our daily activities we must remember that a subclass should override the parent class’ methods in a way that doesn’t break functionality from a consumers’s point of view.

## Example

```
abstract class MusicalInstrument
{
public abstract void PlayANote();
}

class Piano : MusicalInstrument
{
public override void PlayANote()
{
PressKey();
}

private void PressKey()
{
//Press a piano key.
}
}

class Saxophone : MusicalInstrument
{
public override void PlayANote()
{
Blow();
}

private void Blow()
{
//Blow air into the instrument.
}
}
```

## The evergreen example

To better underestand LSP let’s examine this classic example. It’s a classic because it’s easy to understand and very meaningful. We start with this question:

Is a square a special rectangle in OOP?

We try to answer this question with this simple class hierarchy: a Rectangle as base class and a Square class that inherits from it. In the Square class we override the behavior of the setters to enforce that the the Heigth and Width properties have the same value.

```class Rectangle
{
public virtual float Heigth { get; set; }
public virtual float Width { get; set; }
public virtual float Area
{
get { return Heigth * Width; }
}
}

class Square : Rectangle
{
private float _heigth;

private float _width;

public override float Heigth
{
get
{
return _heigth;
}
set
{
_heigth = value;
_width = value;
}
}

public override float Width
{
get
{
return _width;
}
set
{
_width = value;
_heigth = value;
}
}
}

```

Now we have to remember that a subclass must override the base class in a way that it doesn’t break functionality from a client’s POV. We write these two tests to check.

```
[TestClass]
public class UnitTest1
{
[TestMethod]
public void TestWithRectangle()
{
Rectangle sut = new Rectangle();
sut.Heigth = 3;
sut.Width = 7;

Assert.AreEqual(21, sut.Area);
}

[TestMethod]
public void TestWithSquare()
{
Rectangle sut = new Square();
sut.Heigth = 3;
sut.Width = 7;

Assert.AreEqual(21, sut.Area); //This test will fail. Area equals 49.
}

}
```

So it’s clear that in OOP a square isn’t a particulare case of a rectangle. How can we do to better organize these classes? The typical approach consists of creating an abstract class (or an interface). For example

```abstract class Shape
{
public abstract float Area { get; }
}

class Rectangle : Shape
{
public float Heigth { get; set; }
public float Width { get; set; }
public override float Area
{
get { return Heigth * Width; }
}
}

class Square : Shape
{
public float Edge { get; set; }

public override float Area
{
get { return Edge * Edge; }
}
}
```

Now our code states that both the Rectangle class and the Sqare class are Shapes which is true. Our code is also safer and we don’t have any situation where a client will receive unexpected values.

## TL;DR

In this post we explored the Liskov Substituion Principle (LSP) and we learned that it’s not true that real-life objects always maps to the same OOP structure / class ecosystem. When also tried to improve the wrong example with the simple technique of adding an abstraction layer (the Shape class).

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