HIP Mandelbrot

GPU Implementation of Mandelbrot Fractal Generator with Benchmarking using AMD HIP SDK.

Computes for the Mandelbrot set in the complex plane bounded by the rectangular corners (-2.0, -2.0) to (2.0, 2.0).

Usage

To use:

[Command Prompt] HIPMandelbrot.exe [WIDTH] [HEIGHT]

or

[Command Prompt] HIPMandelbrot.exe [N]

Sample Run

[Command Prompt] HIPMandelbrot.exe 32768 32768

Device: AMD Radeon RX 7800 XT

Estimated GPU RAM requirements: 4294967296 bytes
Total GPU RAM: 17163091968 bytes
Program GPU RAM limit: 8589934592 bytes
Size of int: 4 bytes

generating mandelbrot set using GPU ...
GPU elapsed time: 1903.98 ms
generating mandelbrot set using CPU ...
CPU elapsed time: 61218.6 ms

32.153x speedup, diff: 288

Benchmarks

N	GPU (ms)	CPU (ms)	speed factor	status
16	1.4344	0.024	0.0199	slower
32	1.5457	0.0865	0.0559617002	slower
64	1.5693	0.3231	0.2058879755	slower
128	1.5188	1.1664	0.7679747169	slower
256	1.9443	4.247	2.184333693	faster
512	2.6105	15.6552	5.997012067	faster
1024	3.4076	63.2497	18.56136284	faster
2048	8.6175	243.014	28.20005802	faster
4096	28.2254	962.061	34.08493768	faster
8192	124.929	3839.13	30.73049492	faster
16384	483.53	15327.6	31.69937749	faster
32768	1903.98	61218.6	32.15296379	faster

where:

• N - length of the square image's side (in pixels)
• speed factor - ratio between CPU and GPU elapsed times (CPU/GPU)

Test Machine

• CPU: Ryzen 5700x (8 core/16 threads)
• 32GB 3200MT/s CL16 DDR4
• Gigabyte B550I AORUS PRO AX rev 1.2
• GPU: Sapphire Pulse 7800xt 16GB GDDR6

Graphs

Elapsed Time

Speed Comparison (and baselines)

Sample output (converted from PGM and PPM to PNG)

RGB (2048 x 2048)

Gray (2048 x 2048)

To Do

• PNG Image Output
• User defined parameters
• Implement other fractal generators