demacdolincoln/fractal.ipynb

## fractal.ipynb
{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "using Images, Colors, FileIO"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING: Method definition iterCount(Base.Complex, Int64) in module Main at In[2]:2 overwritten at In[10]:2.\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "iterCount (generic function with 1 method)"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "function iterCount(C::Complex, max_iter::Int)::Int\n",
    "    X = C\n",
    "    for n = 1:max_iter\n",
    "        if abs(X) > 2\n",
    "            return n\n",
    "        end\n",
    "#         X = X^2 -0.05+0.678im # julia\n",
    "#         X = X^-2 +0.74im # julia2\n",
    "#         X = 1-X^3 +0.1 #+0.64im # julia2\n",
    "\n",
    "#         X = X^2 + 0.39 + 0.37im*X # f1\n",
    "#         X = X^2  -0.259 +real(X) # ??\n",
    "#         X = 2-X^2  -0.4 +imag(X) # curve??\n",
    "#         X = 3X^2 -0.5 #j2\n",
    "        \n",
    "#         X = X^2 + C # mandelbroat original\n",
    "#         X = exp(X^2) -.59 # rim\n",
    "#         X = exp(X^3) -.59 # rim\n",
    "        \n",
    "#         X = X*sin(X^2) -.5 # sin1\n",
    "#          X = X*sin(2X/X^2) -.5 # sin_otr\n",
    "#         X = X*sin(X/X^2) -.7 +.245im  # sin2\n",
    "#         X = X*sin(X/X^2) -.7  # sin2\n",
    "\n",
    "#         X = X*cos(X^2) -1.# cos1\n",
    "#         X = 1-(sqrt(2X^2)*cos(X)) -.45 # cos2\n",
    "        X = X*cos(X^2) -1.# cos1\n",
    "        \n",
    "#         X = X*sqrt(X^2) -.398+.0895im # raiz1\n",
    "#         X = X*(sqrt(X^2)) -.398#-.0895im # raiz2\n",
    "      \n",
    "#         X = 1-X^4- 0.77+ .59im # suastica\n",
    "#         X = X^2 - 0.8+0.156im\n",
    "#         X = 1-X^2+(X^5)/(2 + 3X)+0.2-0.650im\n",
    "#         X = 1-(X^2+X^5)/(2 + 4X)+0.295+0.551im\n",
    "#         X = 1-(X^2+X^5)/(sqrt(X^2)) # esql de cog\n",
    "\n",
    "    end\n",
    "    return max_iter\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING: Method definition calcFract(Any, Any, Any, Any, Any, Any) in module Main at In[3]:3 overwritten at In[11]:3.\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "calcFract (generic function with 1 method)"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "function calcFract(Nx, Ny, xmin, xmax, ymin, ymax)\n",
    " \n",
    "    max_iter = 1024\n",
    "#     max_iter = 512\n",
    "    \n",
    "    X = linspace(xmin,xmax,Ny)\n",
    "    Y = linspace(ymin,ymax,Nx)\n",
    "    Z = zeros(Int,Nx,Ny)\n",
    "\n",
    "    for (i,y) in enumerate(Y)\n",
    "        for (j,x) in enumerate(X)\n",
    "            Z[i,j] = iterCount(Complex(x,y),max_iter)\n",
    "        end\n",
    "    end\n",
    "    return Z\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING: Method definition viewFrac(Array) in module Main at In[4]:2 overwritten at In[12]:2.\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "viewFrac (generic function with 1 method)"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "function viewFrac(Z::Array)\n",
    "    lin, col = size(Z)\n",
    "    maxi = maximum(Z) \n",
    "\n",
    "    #     colorTheme = diverging_palette(220,840,maxi,mid=.3,dcolor1=colorant\"green\",dcolor2=colorant\"blue\")\n",
    "    colorTheme = colormap(\"Grays\",maxi, mid=0.3)|> reverse\n",
    "\n",
    "    colorMatrix = Array(RGB{Float64}, lin, col)\n",
    "    for i = 1:lin\n",
    "        colorMatrix[i,:] = colorTheme[Z[i,:]]\n",
    "    end\n",
    "    img = convert(Image{RGB}, colorMatrix)\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "RGB Images.Image with:\n",
       "  data: 400×400 Array{ColorTypes.RGB{Float64},2}\n",
       "  properties:\n",
       "    timedim: 0\n",
       "    spatialorder:  y x\n",
       "    pixelspacing:  1.0 1.0"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# xmin = ymin = -.1\n",
    "# xmax = ymax = .1\n",
    "xmin , xmax = -.01e-5, .01e-5 #1.5141\n",
    "ymin, ymax = -.021e-5, 1.0e-10\n",
    "Z = calcFract(400, 400, xmin, xmax, ymin,ymax)\n",
    "viewFrac(Z)\n",
    "# i = viewFrac(Z)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# data = load(\"ttt.png\")\n",
    "# save(\"cos_palmeira.png\",i)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# using Interact\n",
    "# xmin = xmax = ymin = ymax = linspace(-2.,2.,500)\n",
    "# @manipulate for xmin=xmin, xmax=xmax, ymin=ymin, ymax=ymax\n",
    "#     Z = calcFract(400, 400, xmin, xmax, ymin,ymax)\n",
    "#     viewFrac(Z)\n",
    "# end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"UTF-8\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       " \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<svg xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\"\n",
       "     width=\"250.0mm\" height=\"25.0mm\"\n",
       "     shape-rendering=\"crispEdges\">\n",
       "<rect x=\"0.0mm\" y=\"0.0mm\"\n",
       "      width=\"2.5mm\" height=\"25.0mm\"\n",
       "      fill=\"#58070F\" stroke=\"none\" />\n",
       "<rect x=\"2.5mm\" y=\"0.0mm\"\n",
       "      width=\"2.5mm\" height=\"25.0mm\"\n",
       "      fill=\"#6B0D15\" stroke=\"none\" />\n",
       "<rect x=\"5.0mm\" y=\"0.0mm\"\n",
       "      width=\"2.5mm\" height=\"25.0mm\"\n",
       "      fill=\"#7D151D\" stroke=\"none\" />\n",
       "<rect x=\"7.5mm\" y=\"0.0mm\"\n",
       "      width=\"2.5mm\" height=\"25.0mm\"\n",
       "      fill=\"#8D1D24\" stroke=\"none\" />\n",
       "<rect x=\"10.0mm\" y=\"0.0mm\"\n",
       "      width=\"2.5mm\" height=\"25.0mm\"\n",
       "      fill=\"#9D262B\" stroke=\"none\" />\n",
       "<rect x=\"12.5mm\" y=\"0.0mm\"\n",
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       "100-element Array{ColorTypes.RGB{Float64},1}:\n",
       " RGB{Float64}(0.346848,0.0256284,0.0570126)\n",
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       " ⋮                                         \n",
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       " RGB{Float64}(0.17948,0.166735,0.00697785) "
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     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "diverging_palette(10,80,100,mid=.3)"
   ]
  }
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