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Scientific Computing with Python

You're reading from   Scientific Computing with Python High-performance scientific computing with NumPy, SciPy, and pandas

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Product type Paperback
Published in Jul 2021
Publisher Packt
ISBN-13 9781838822323
Length 392 pages
Edition 2nd Edition
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Claus Fuhrer Claus Fuhrer
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Table of Contents (23) Chapters Close

Preface 1. Getting Started 2. Variables and Basic Types FREE CHAPTER 3. Container Types 4. Linear Algebra - Arrays 5. Advanced Array Concepts 6. Plotting 7. Functions 8. Classes 9. Iterating 10. Series and Dataframes - Working with Pandas 11. Communication by a Graphical User Interface 12. Error and Exception Handling 13. Namespaces, Scopes, and Modules 14. Input and Output 15. Testing 16. Symbolic Computations - SymPy 17. Interacting with the Operating System 18. Python for Parallel Computing 19. Comprehensive Examples 20. About Packt 21. Other Books You May Enjoy 22. References

7.3 Return values

A function in Python always returns a single object. If a function has to return more than one object, these are packed and returned as a single tuple object.

For instance, the following function takes a complex number and returns its polar coordinate representation as magnitude and angle :

def complex_to_polar(z):
    r = sqrt(z.real ** 2 + z.imag ** 2)
    phi = arctan2(z.imag, z.real)
    return (r,phi)  # here the return object is formedcite

(See also Euler’s formula, .)

Here, we used the NumPy function sqrt(x) for the square root of a number x and arctan2(x,y) for the expression .

Let's try our function:

z = 3 + 5j  # here we define a complex number
a = complex_to_polar(z)
r = a[0]
phi = a[1]

The last three statements can be written more elegantly in a single line:

r,phi = complex_to_polar(z)

We can test our function by calling polar_to_comp defined in Exercise 1 in the Exercises section.

If a function has no return statement, it returns the value...

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