In the world of programming, algorithms take the prime spotlight. These complex mathematical and computational designs are used to find solutions to even more complex programming issues. But that’s something we’re all aware of. However, do you know how these algorithms are designed and created?
That’s precisely the topic of our conversation today!
How Are Algorithms Designed – The Top-Down And The Bottom-Up Approach
Basically, the top-down approach, as the name suggests, is all about breaking a bigger problem into smaller chunks, whereas, the bottom-up approach focuses on amalgamating smaller chunks to paint the complete and bigger picture. Get it? Now, let’s take a closer look at these two methodologies.
In the top-down approach, a complex algorithm is broken down into smaller fragments, better known as ‘modules.’ These modules are then further broken down into more smaller fragments until they can no longer be fragmented. This process is called ‘modularization.’ However, during the modularization process, you must always maintain the integrity and originality of the algorithm.
By breaking a bigger problem into smaller fragments, the top-down approach minimizes the complications usually incurred while designing algorithms. Furthermore, in this approach, each function in a code is unique and works independently of other functions. The top-down approach is heavily used in the C programming language.
Contrary to the top-down approach, the bottom-up approach focuses on designing an algorithm by beginning at the very basic level and building up as it goes. In this approach, the modules are designed individually and are then integrated together to form a complete algorithmic design.
So, in this method, each and every module is built and tested at an individual level (unit testing) prior to integrating them to build a concrete solution. The unit testing is performed by leveraging specific low-level functions.
What Are The Key Differences Between The Top-Down And The Bottom-Up Approaches?
Based on the core preferences and values of each methodology, we can chalk out certain basic differences between the two and they are:
- While the top-down approach focuses on breaking down a big problem into smaller and understandable chunks, the bottom-up approach first focuses on solving the smaller problems at the fundamental level and then integrating them into a whole and complete solution.
Let’s take an example of finding the Fibonacci series with the help of recursion where we have to calculate the 5th Fibonacci number.
Using recursion we know that:
Fibonacci(n) = Fibonacci(n-1) + Fibonacci(n-2) where Fibonacci(0) and Fibonacci(1) are both 1.
For our problem we observe:
Fibonacci(5) = Fibonacci(4) + Fibonacci(3)
Fibonacci(4) = Fibonacci(3) + Fibonacci(2)
Fibonacci(3) = Fibonacci(2) + Fibonacci(1)
Fibonacci(2) = Fibonacci(1) + Fibonacci(0)
Our function call stack will have multiple calls to the same calculations. To do away with this we use a top-down approach using Dynamic Programming which is called Memoisation and create an array to store the calculations so that no duplicate calculations are performed. The top-down approach first calculates Fibonacci(5) and then goes down to solving others.
There is another approach – the bottom-up approach where the direction of solving the question is reversed. First Fibonacci(0) is calculated and then the problem goes all the way up to Fibonacci(5) making it easier to solve the problem.
- The top-down approach is primarily used by structured programming languages such as C, COBOL, Fortran. On the contrary, the bottom-up approach is preferred by OOP languages such as C++, C#, Python, Java, and Perl.
In the C programming language, the problem statement is first understood and a solution is created after which the main function is created and all the sub-functions are called from the main function breaking the problem into smaller parts. Hence, procedural languages utilize the paradigm of a top-down approach.
Similarly in object-oriented programming languages like Java, the base classes are written first. Then you go on writing the derived classes making your program complex little by little and hence it is considered to be a bottom-up approach.
- In the top-down approach, each module and submodule are processed separately, and hence, they might contain redundant information. However, the bottom-up approach relies on data encapsulation and data-hiding, thereby, minimising redundancy.
Like we saw in the previous example, object oriented programming languages utilise the bottom up approach and with the use of classes and objects – encapsulation, data hiding and several other object oriented programming concepts are applied to the best.
- The top-down approach doesn’t require the modules to have a well-established line of communication among them, whereas, in the bottom-up approach, the modules must have a certain degree of interaction and communication among them.
- While the top-down approach can be used in module documentation, debugging, and code implementation, the bottom-up approach is primarily used in testing.
As we know, the bottom-up approach requires interaction and integration between different modules and components of the program and hence this approach is used in testing purposes for identifying if all components are working properly together.
Debugging on the other hand is a process where first what is happening is identified and then the root cause is discovered which suggests that the top-down approach should be approached.
- The top-down approach has one significant issue – identifying the topmost function of a problem can be difficult sometimes and similarly in the bottom-up approach, sometimes developers find it difficult to create a holistic program from the smaller chunks of programs they created.
Frequently Asked Questions
The bottom up approach first identifies the small chunks of the problem and solves it moving its way to the top while the top down approach divides the bigger problem into smaller parts and solves it. Bottom up approach is better as it focuses on the fundamentals first and then moves on to the original problem as a whole.
The top down approach translates into an approach where a bigger problem is solved by breaking it down into smaller parts.
A bottom-up budget is a budget where first the tasks to be undertaken are identified and then according to the plan an entire budget is prepared.
A bottom-up project is a project where the team defines and performs smaller tasks (presumably in different teams as well) and then together solves the problem of the undertaken project.
A top down approach is better when a management perspective is considered. The decision making is comparatively faster and the teams are working on smaller problems and hence not trying to solve the entire problem at once which might make them overlook certain aspects of the problem.
C is a procedural and low-level language whereas Java is an object oriented and high level language. C is faster whereas Java is easier to learn.
In C language, the problem solving starts with a high level design which goes down to the low level implementation.
Thus, in conclusion, we can say that the top-down approach is rather the conventional method that seeks to decompose a complex problem into smaller fragments (from high-level specification to low-level specification), the bottom-up approach works is just the opposite – it first concentrates on designing the fundamental components of an algorithm and then moves up to a higher level to achieve a complete result.
The top down approach finds its uses in debugging, proper management and procedural programming languages. The bottom up approach finds its uses in testing and object oriented programming languages. Both have their own advantages and disadvantages. The top down approach is the first priority for some developer teams while others prefer a bottom up approach.
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For small scale projects, the top-down approach can prove to be more fruitful due to its methodology of breaking the problem into subsections first. On a bigger scale, where different teams are performing different functions, the bottom-up approach is more suitable.
We hope this helps! Happy coding!
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