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@ontouchstart
Created August 24, 2018 00:55
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\u001b[32m\u001b[1m Updating\u001b[22m\u001b[39m registry at `~/.julia/registries/General`\n",
"\u001b[32m\u001b[1m Updating\u001b[22m\u001b[39m git-repo `https://github.com/JuliaRegistries/General.git`\n",
"\u001b[?25l\u001b[2K\u001b[?25h\u001b[32m\u001b[1m Resolving\u001b[22m\u001b[39m package versions...\n",
"\u001b[32m\u001b[1m Updating\u001b[22m\u001b[39m `~/.julia/environments/v1.0/Project.toml`\n",
"\u001b[90m [no changes]\u001b[39m\n",
"\u001b[32m\u001b[1m Updating\u001b[22m\u001b[39m `~/.julia/environments/v1.0/Manifest.toml`\n",
"\u001b[90m [no changes]\u001b[39m\n"
]
},
{
"data": {
"text/plain": [
"\"svg\""
]
},
"execution_count": 1,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"using Pkg\n",
"Pkg.add(\"GR\")\n",
"using GR\n",
"ENV[\"GKSwstype\"]=\"svg\""
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Step 0: Julia set created in 0.091536981 s\n",
"Step 1: Julia set created in 0.095110887 s\n",
"Step 2: Julia set created in 0.099261956 s\n",
"Step 3: Julia set created in 0.108220388 s\n",
"Step 4: Julia set created in 0.120832171 s\n",
"Step 5: Julia set created in 0.128812109 s\n",
"Step 6: Julia set created in 0.141528392 s\n",
"Step 7: Julia set created in 0.165318848 s\n",
"Step 8: Julia set created in 0.178229743 s\n",
"Step 9: Julia set created in 0.184010867 s\n",
"Step 10: Julia set created in 0.193100449 s\n",
"Step 11: Julia set created in 0.208873723 s\n",
"Step 12: Julia set created in 0.230899581 s\n",
"Step 13: Julia set created in 0.263568056 s\n",
"Step 14: Julia set created in 0.285832459 s\n",
"Step 15: Julia set created in 0.299864273 s\n",
"Step 16: Julia set created in 0.30950488 s\n",
"Step 17: Julia set created in 0.319805674 s\n",
"Step 18: Julia set created in 0.3307732 s\n",
"Step 19: Julia set created in 0.335584714 s\n",
"Step 20: Julia set created in 0.324433956 s\n",
"Step 21: Julia set created in 0.324454045 s\n",
"Step 22: Julia set created in 0.324029814 s\n",
"Step 23: Julia set created in 0.342455095 s\n",
"Step 24: Julia set created in 0.316293787 s\n",
"Step 25: Julia set created in 0.323784729 s\n",
"Step 26: Julia set created in 0.301034299 s\n",
"Step 27: Julia set created in 0.302818736 s\n",
"Step 28: Julia set created in 0.304191309 s\n",
"Step 29: Julia set created in 0.293394483 s\n",
"Step 30: Julia set created in 0.297016289 s\n",
"Step 31: Julia set created in 0.300722719 s\n",
"Step 32: Julia set created in 0.284888097 s\n"
]
}
],
"source": [
"function julia(z, c, iters)\n",
" ci = 0\n",
" inc = 1\n",
"\n",
" for i in 0:iters\n",
" z = z^2 + c\n",
" if abs2(z) >= 4\n",
" return ci\n",
" end\n",
" ci += inc\n",
" if ci == 0 || ci == 255\n",
" inc = -inc\n",
" end\n",
" end\n",
"\n",
" return 255\n",
"end\n",
"\n",
"function main()\n",
"\n",
" function create_fractal(min_x, max_x, min_y, max_y, image, iters)\n",
" height = size(image, 1)\n",
" width = size(image, 2)\n",
"\n",
" pixel_size_x = (max_x - min_x) / width\n",
" pixel_size_y = (max_y - min_y) / height\n",
" for i in 1:width\n",
" real = min_x + (i - 1) * pixel_size_x\n",
" for j in 1:height\n",
" imag = min_y + (j - 1) * pixel_size_y\n",
" color = julia(complex(real, imag), seed, iters)\n",
" image[j, i] = color\n",
" end\n",
" end\n",
" end\n",
"\n",
" seed = complex(-0.156844471694257101941, -0.649707745759247905171)\n",
" x, y = (-0.16, -0.64)\n",
"\n",
" f = 1.5\n",
" for i in 0:32\n",
" image = zeros(Int32, 500, 500)\n",
"\n",
" dt = @elapsed create_fractal(x-f, x+f, y-f, y+f, image, 500)\n",
" println(\"Step $i: Julia set created in $dt s\")\n",
"\n",
" GR.clearws()\n",
" GR.setviewport(0, 1, 0, 1)\n",
" GR.setcolormap(13)\n",
" GR.cellarray(0, 1, 0, 1, 500, 500, image .+ 1000)\n",
" GR.updatews()\n",
"\n",
" f *= 0.9\n",
" end\n",
"end\n",
"\n",
"main()"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
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"<defs>\n",
" <clipPath id=\"clip9800\">\n",
" <rect x=\"0\" y=\"0\" width=\"500\" height=\"500\"/>\n",
" </clipPath>\n",
"</defs>\n",
"<g clip-path=\"url(#clip9800)\">\n",
"<image width=\"500\" height=\"500\" xlink:href=\"data:image/png;base64,\n",
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