Curve Point Distribution by Simpson Rule

C++.  This implementation’s purpose is to equally divide a quadratic equation curve for distributing desired number of points on it. To do that, I applied Simpson rule by  sweeping small increments on x axis instead […]


Latitude Point Distribution

C++. This is for symmetrical distribution of points in each latitude on a sphere. As an input, different number of points for each latitude can be assigned. Top and bottom coordinates, of course, are the […]


Top Cut of Convex Hull

C++. I developed an algorithm based on “three penny algorithm” to find the top cut of a convex hull for dense circle shaped data. It takes the most left point as an entry point like Jarvis’s […]


Deepest Pit

C++. This is a question from Codility. Question: A non-empty zero-indexed array A consisting of N integers is given. A pit in this array is any triplet of integers (P, Q, R) such that: 0 ≤ P < […]


Interactive Multi-State (Audio Engine)

C++.  I wrote this  audio engine with FMOD low level API.  I will improve its features by reducing bottlenecks later on. Its play state algorithm in the interactive music class is an open nested loop […]


Playing From Resource (Visual Studio)

C++. If needed to play audio files from resource in Visual Studio (not to directly provide audio files), process would be a little bit different.  When upload files to resource, firstly you create .rc file, […]


Totient Function

C++. This is the problem 69 from Project Euler. Question: Euler’s Totient function, φ(n) [sometimes called the phi function], is used to determine the number of numbers less than n which are relatively prime to […]


Pell Equation

C++. This is the problem 66 from Project Euler. Question: Consider quadratic Diophantine equations of the form:  x2 – Dy2 = 1 For example, when D=13, the minimal solution in x is 6492 – 13×1802 = 1. It can be assumed that there […]


Pentagonal Numbers

C++. This is the problem 44 from Project Euler. Question: Pentagonal numbers are generated by the formula, Pn=n(3n−1)/2. The first ten pentagonal numbers are: 1, 5, 12, 22, 35, 51, 70, 92, 117, 145, … It […]


Digit Fifth Powers

C++, Matlab. This is the problem 30 from Project Euler. Question: Surprisingly there are only three numbers that can be written as the sum of fourth powers of their digits: 1634 = 1^4 + 6^4 + 3^4 + […]


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