CSC4700-Fractals скачать в хорошем качестве

CSC4700-Fractals

This lecture introduces fractals, focusing on their mathematical basis, visual representation, and implementation in C++. Mandelbrot set is used as a prime example, demonstrating how to generate fractal images using C++ code and exploring parallel computing techniques for optimization. The lecture also touches upon complex numbers and different parallel computing paradigms. [00:00:00] - Intro [00:00:26] - Introduction to Parallel Computing [00:01:28] - Lecture Overview: Math and Fractals [00:02:02] - Fractals: Definition and Nature [00:08:10] - Psychedelic Fractals and Mandelbrot Set [00:11:15] - Complex Numbers Refresher [00:16:02] - C++ Support for Complex Numbers [00:20:48] - Mandelbrot Set: Theory and C++ Implementation [00:25:00] - Visualizing Mandelbrot Set Computationally [00:33:35] - Parallelization and Fork-Join Parallelism [00:40:12] - Parallelization in C++: Execution Policies [00:42:39] - Applying Parallel Algorithms to Mandelbrot [00:45:28] - Julia Set: Related Fractal [00:47:09] - Flynn's Taxonomy and Parallel Architectures [00:53:14] - SIMD and Vectorization Fundamentals [00:56:07] - SIMD in C++: std::experimental::simd [01:00:46] - Conditional Operations and SIMD Masks [01:04:02] - Applying SIMD and Vectorization to Mandelbrot [01:09:35] - C++ SIMD Execution Policies and HPX [01:11:32] - Vectorized Mandelbrot Implementation [01:15:06] - Final Vectorized and Parallel Implementation [01:16:17] - Monte Carlo Estimation of Mandelbrot Area [01:17:14] - Conclusion and Final Remarks