Composition¶

As we have already seen, you can call one function from within another.
This ability to build functions by using other functions is called composition.
As an example, we’ll write a function that takes two points, the center of the circle and a point on the perimeter, and computes the area of the circle.
The first step is to find the radius of the circle, which is the distance between the two points.

radius = distance(xc, yc, xp, yp)

The second step is to find the area of a circle with that radius and return it.
Again we will use one of our earlier functions:

result = area(radius)
return result

Wrapping that up in a function, we get:

def distance(x1, y1, x2, y2):
        dx = x2 - x1
        dy = y2 - y1
        dsquared = dx**2 + dy**2
        result = dsquared**0.5
        return result

def area(radius):
    b = 3.14159 * radius**2
    return b

def area2(xc, yc, xp, yp):
    radius = distance(xc, yc, xp, yp)
    result = area(radius)
    return result

print(area2(0,0,1,1))

(ch06_newarea)

We called this function area2 to distinguish it from the area function defined earlier.
There can only be one function with a given name within a module.

Note that we could have written the composition without storing the intermediate results.

def area2(xc, yc, xp, yp):
    return area(distance(xc, yc, xp, yp))