Book Image

Julia 1.0 Programming. - Second Edition

By : Ivo Balbaert
Book Image

Julia 1.0 Programming. - Second Edition

By: Ivo Balbaert

Overview of this book

The release of Julia 1.0 is now ready to change the technical world by combining the high productivity and ease of use of Python and R with the lightning-fast speed of C++. Julia 1.0 programming gives you a head start in tackling your numerical and data problems. You will begin by learning how to set up a running Julia platform, before exploring its various built-in types. With the help of practical examples, this book walks you through two important collection types: arrays and matrices. In addition to this, you will be taken through how type conversions and promotions work. In the course of the book, you will be introduced to the homo-iconicity and metaprogramming concepts in Julia. You will understand how Julia provides different ways to interact with an operating system, as well as other languages, and then you'll discover what macros are. Once you have grasped the basics, you’ll study what makes Julia suitable for numerical and scientific computing, and learn about the features provided by Julia. By the end of this book, you will also have learned how to run external programs. This book covers all you need to know about Julia in order to leverage its high speed and efficiency for your applications.
Table of Contents (17 chapters)
Title Page
Copyright and Credits
Packt Upsell

Rational and complex numbers

Julia supports these types out of the box. The global constantim represents the square root of -1, so that 3.2 + 7.1im is a complex number with floating point coefficients, so it is of the type Complex{Float64}.

This is the first example of a parametric type in Julia. For this example, we can write this asComplex{T}, where type T can take a number of different type values, such as Int32, Int64, or Float64.

All operations and elementary functions, such as exp(), sqrt(), sinh(), real(), imag(), abs(), and so on, are also defined on complex numbers; for example, abs(3.2 + 7.1im)= 7.787810988975015.

If a and b are two variables that contain a number, use complex(a,b) to form a complex number with them. Rational numbers are useful when you want to work with exact ratios of integers, for example, 3//4, which is of type Rational{Int64}.

Again, comparisons and standard operations are defined: float() converts to a floating point number, and num() and den() gives the numerator...