mandelbrot | open source Mandelbrot viewer which can take advantage | GPU library
kandi X-RAY | mandelbrot Summary
kandi X-RAY | mandelbrot Summary
Mandelbrot === A mandelbrot version that uses OpenCL to render a [Mandelbrot] Requirements --- * OpenGL * OpenCL * GLUT. Note: This has only been tested on OSX. Navigating --- Click and drag to move and right click to zoom in. Currently you can’t zoom out :(.
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mandelbrot Examples and Code Snippets
Lines of Code : 20License : Non-SPDX
Copydef compute_mandelbrot(N_max, some_threshold, nx, ny):
# A grid of c-values
x = np.linspace(-2, 1, nx)
y = np.linspace(-1.5, 1.5, ny)
c = x[:,newaxis] + 1j*y[newaxis,:]
# Mandelbrot iteration
z = c
# The code below ove def compute_mandelbrot(N_max, some_threshold, nx, ny):
# A grid of c-values
x = np.linspace(-2, 1, nx)
y = np.linspace(-1.5, 1.5, ny)
c = x[:,newaxis] + 1j*y[newaxis,:]
# Mandelbrot iteration
z = c
for j in range(N_max) Community Discussions
Trending Discussions on mandelbrot
QUESTION
I have the following code:
...ANSWER
Answered 2021-Jun-10 at 14:13I did several changes to you code, mainly respecting the shape of the input arrays.
QUESTION
My code is as follows:
...ANSWER
Answered 2021-May-20 at 09:57You are using the values of your arrays a and b as the indices of the matrix M.
What you want is M[x,y] = mandelbrot(a[x] + i*b[y]):
QUESTION
I am writing code to visualize Mandelbrot sets and other fractals. Below is a snippet of the code that is being run. The code runs perfectly fine as is, but I am trying to optimize it to make higher resolution images faster. I've tried using caching on fractal(), along with @jit and @njit from Numba. Caching resulted in a crash (from memory overflow I'm assuming) and @jit just slows down the execution of my program by a factor of 6. I am also aware of the many mathematical ways there are of making my code run faster, as I've seen on the Wikipedia page, but I would like to see if I can get one of the above methods or some alternative to work.
For creating multiple images in a row (to make a zoom animation, like this one) I've implemented multiprocessing (which seems to run 9 processes at once) but I don't know how to implement the same in the creation of a single high resolution image.
Here is my code snippet:
...ANSWER
Answered 2021-May-12 at 14:48This older answer deals specifically with vectorization, but some additional optimization can be done.
You can start with Numpy vectorization, convenient but not really fast:
QUESTION
Background: I'm trying to create a simple bootstrap function for sampling means with replacement. I want to parallelize the function since I will eventually be deploying this on data with millions of data points and will want to have sample sizes much larger. I've ran other examples such as the Mandelbrot example. In the code below you'll see that I have a CPU version of the code, which runs fine as well.
I've read several resources to get this up and running:
The issue: This is my first foray into CUDA programming and I believe I have everything setup correctly. I'm getting this one error that I cannot seem to figure out:
...ANSWER
Answered 2021-May-02 at 00:33You seem to have at least 4 issues:
- In your kernel code,
rand_idx_arryis undefined. - You can't do
.mean()in cuda device code - Your kernel launch config parameters are reversed.
- Your kernel had an incorrect range for the grid-stride loop.
dt_array.shape[0]is 50, so you were only populating the first 50 locations in your gpu output array. Just like your host code, the range for this grid-stride loop should be the size of the output array (which isboot_samp)
There may be other issues as well, but when I refactor your code like this to address those issues, it seems to run without error:
QUESTION
I am working on creating deep zooms into the Mandelbrot set, and as you might know OpenGL ES does not support the double data type. The highest precision that it can offer is that of a IEEE 754 float. On Googling, and after a lot of searching, I came across this blog: https://blog.cyclemap.link/2011-06-09-glsl-part2-emu/ that is totally dedicated to this topic. But, unfortunately I cannot understand the code for addition, subtraction and multiplication, presented there. Especially, I can't understand the part that deals with the error correction and carrying. It would be extremely helpful, if you could explain to me, the depth of the error checking and carrying over of bits from low parts to higher.
So, far I only understand the fundamental concept of splitting the double into two floats. But, the implementation of the basic operations is unclear to me. It would be very helpful if the explanation is done using the context of binary numbers.
ANSWER
Answered 2021-Apr-08 at 10:34First the basic principle that is used to deal with this. Once you add or substract numbers with high exponent difference the result gets rounded:
QUESTION
I've been trying to understand how bmp files work so I can render some Mandelbrot set pictures and output them as bmp files since that seems to be one of the easiest methods but for some reason when I use an aspect ratio that isn't 1:1 even though its something to the power of 4 (so no padding is needed) I get weird artifacts like these 200:100 48:100 what I'm trying to do is turning an array of pixels that has white for even numbers and black for odd numbers into a bmp, this (100:100) is what it looks like with 1:1 aspect ratio. I've tried reading through the wikipedia article to see if I can figure out what I'm doing wrong but I still don't get what I'm missing.
This is the script I've written in Lua so far:
...ANSWER
Answered 2021-Apr-06 at 18:17Welcome to Stack Exchange :)
I suggest having a look at PPM files, they are easy. They can be converted with other tools to png or bmp with other tools.
Here is a PPM solution:
QUESTION
I've tried many algorithms for the rendering of the Mandelbrot set, inclusive of the naive escape time algorithm, as well as the optimized escape time algorithm. But, are there faster algorithms that are used to produce really deep zooms efficiently like the ones we see on YouTube. Also, I would love to get some ideas on how to increase my precision beyond the C/C++ double
ANSWER
Answered 2021-Mar-19 at 17:29The optimized escape algorithm should be fast enough to draw the Mandelbrot set in real time. You can use multiple threads so that your implementation will be faster (this is very easy using OpenMP for example). You can also manually vectorize your code using SIMD instructions to make it even faster if needed. You could even run this directly on the GPU using either shaders and/or GPU computing frameworks (OpenCL or CUDA) if this is still not fast enough to you (although this is a bit complex to do efficiently). Finally you should tune the number of iterations so it is rather small.
Zooming should not have any direct impact on the performance. It just changes the input window of the computation. However, it does have an indirect impact since the actual number of iterations will change. Points outside the window should not be computed.
Double precision should also be enough for drawing Mandelbrot set correctly. But if you really want more precise calculation, you can use double-double precision which gives a quite good precision and not too bad performance. However, implementing double-double precision manually is a bit tricky and it is still significantly slower than using just double precision.
QUESTION
I'm trying to use shaders in Godot and I need a really precise calculation (more than float). Is it possible to have a double in Godot shaders? I searched the documentation but I found nothing...
Edit: I've made a Mandelbrot set explorer and with floats after some zooming the image gets all pixelated because the precision limit is reached, I think that with doubles I would be able to zoom further without losing quality. You can check out my code here btw
...ANSWER
Answered 2021-Mar-22 at 13:55Godot doesn't support FP64 in shaders, since OpenGL 3.3/OpenGL ES 3.0 doesn't mandate support for them on GPUs. Doubles on the GPU are expensive and often crippled on consumer GPUs anyway, making them a bad fit for most real-time applications (especially games that need to run at high framerates).
QUESTION
I am encountering an error with the following code:
...ANSWER
Answered 2021-Mar-20 at 12:26Your original code moves the value to mandel_color(), which means not only that the caller cannot continue using it, but also that mandel_color will own the writer and therefore close it once it writes a single triplet and writer goes out of scope. This transfer of ownership was certainly not intended.
You can prevent ownership transfer and fix the "moved value" error by not moving the value, in this case simply by having mandel_color accept a reference to the writer:
QUESTION
I have a requirement to create an image and save it in a database. I am creating it with python Pillow and saving it as JPEG.
...ANSWER
Answered 2021-Mar-15 at 11:50As @mugiseyebrows have said I was doing it incorrectly, the form data should be the following
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