SciRuby/gnuplotrb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Animation\n",
    "\n",
    "GnuplotRB is able to create gif animations with several plots given as frames.\n",
    "This may be useful to show how function changes in time.\n",
    "\n",
    "#### Examples\n",
    "##### Changing heatmap"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
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       "\">"
      ],
      "text/plain": [
       "#<GnuplotRB::Animation:0x00000003b15b40 @plots=Hamster::Vector[#<GnuplotRB::Splot:0x00000003b04ca0 @options=Hamster::Hash[:pm3d => [\"map\", {:interpolate=>[8, 8]}], :palette => \"grey\"], @datasets=Hamster::Vector[#<GnuplotRB::Dataset:0x00000003b04980 @type=:datablock, @data=#<GnuplotRB::Datablock:0x00000003b04908 @stored_in_file=false, @data=\"0 0 0 0 6 3\\n0 0 1 0 5 2\\n0 0 2 1 4 2\\n0 0 3 2 3 0\\n2 1 4 4 1 0\\n3 0 5 3 0 1\">, @options=Hamster::Hash[:matrix => true]>], @cmd=\"splot \">, #<GnuplotRB::Splot:0x00000003b138b8 @options=Hamster::Hash[:pm3d => [\"map\", {:interpolate=>[8, 8]}], :palette => \"grey\"], @datasets=Hamster::Vector[#<GnuplotRB::Dataset:0x00000003b13598 @type=:datablock, @data=#<GnuplotRB::Datablock:0x00000003b13520 @stored_in_file=false, @data=\"0 0 0 0 6 3\\n0 0 0 1 5 2\\n0 1 0 2 4 2\\n0 2 0 3 3 0\\n1 4 2 4 1 0\\n0 3 3 5 0 1\">, @options=Hamster::Hash[:matrix => true]>], @cmd=\"splot \">, #<GnuplotRB::Splot:0x00000003b125d0 @options=Hamster::Hash[:pm3d => [\"map\", {:interpolate=>[8, 8]}], :palette => \"grey\"], @datasets=Hamster::Vector[#<GnuplotRB::Dataset:0x00000003b122b0 @type=:datablock, @data=#<GnuplotRB::Datablock:0x00000003b12238 @stored_in_file=false, @data=\"0 0 0 6 3 0\\n0 0 0 5 2 1\\n1 0 0 4 2 2\\n2 0 0 3 0 3\\n4 2 1 1 0 4\\n3 3 0 0 1 5\">, @options=Hamster::Hash[:matrix => true]>], @cmd=\"splot \">, #<GnuplotRB::Splot:0x00000003b11310 @options=Hamster::Hash[:pm3d => [\"map\", {:interpolate=>[8, 8]}], :palette => \"grey\"], @datasets=Hamster::Vector[#<GnuplotRB::Dataset:0x00000003b10ff0 @type=:datablock, @data=#<GnuplotRB::Datablock:0x00000003b10f78 @stored_in_file=false, @data=\"0 6 3 0 0 0\\n1 5 2 0 0 0\\n2 4 2 1 0 0\\n3 3 0 2 0 0\\n4 1 0 4 2 1\\n5 0 1 3 3 0\">, @options=Hamster::Hash[:matrix => true]>], @cmd=\"splot \">, #<GnuplotRB::Splot:0x00000003b10050 @options=Hamster::Hash[:pm3d => [\"map\", {:interpolate=>[8, 8]}], :palette => \"grey\"], @datasets=Hamster::Vector[#<GnuplotRB::Dataset:0x00000003b17cd8 @type=:datablock, @data=#<GnuplotRB::Datablock:0x00000003b17c60 @stored_in_file=false, @data=\"0 0 0 3 6 0\\n0 1 0 2 5 0\\n0 2 0 2 4 1\\n0 3 0 0 3 2\\n2 4 1 0 1 4\\n3 5 0 1 0 3\">, @options=Hamster::Hash[:matrix => true]>], @cmd=\"splot \">, #<GnuplotRB::Splot:0x00000003b16d38 @options=Hamster::Hash[:pm3d => [\"map\", {:interpolate=>[8, 8]}], :palette => \"grey\"], @datasets=Hamster::Vector[#<GnuplotRB::Dataset:0x00000003b16a18 @type=:datablock, @data=#<GnuplotRB::Datablock:0x00000003b169a0 @stored_in_file=false, @data=\"0 0 6 0 0 3\\n0 0 5 0 1 2\\n0 0 4 1 2 2\\n0 0 3 2 3 0\\n1 2 1 4 4 0\\n0 3 0 3 5 1\">, @options=Hamster::Hash[:matrix => true]>], @cmd=\"splot \">], @options=Hamster::Hash[:animate => {:delay=>30}]>"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "require 'gnuplotrb'\n",
    "include GnuplotRB\n",
    "include Math\n",
    "\n",
    "def generate_heatmaps(initial)\n",
    "  initial.map do\n",
    "    Splot.new(\n",
    "      [initial.shuffle, matrix: true],\n",
    "      pm3d: ['map', interpolate: [8, 8]],\n",
    "      palette: 'grey'\n",
    "    )\n",
    "  end\n",
    "end\n",
    "\n",
    "initial_heatmap = [\n",
    "  [6, 5, 4, 3, 1, 0],\n",
    "  [3, 2, 2, 0, 0, 1],\n",
    "  [0, 0, 0, 0, 1, 0],\n",
    "  [0, 0, 0, 0, 2, 3],\n",
    "  [0, 0, 1, 2, 4, 3],\n",
    "  [0, 1, 2, 3, 4, 5],\n",
    "]\n",
    "\n",
    "Animation.new(*generate_heatmaps(initial_heatmap), animate: { delay: 30 })"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Periodic function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
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      "text/plain": [
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10 * 4.71238898038469) * exp(-abs(x + 2 * sin(4.71238898038469)))\", @options=Hamster::Hash[:title => \"Moving sinx\"]>], @cmd=\"plot \">, #<GnuplotRB::Plot:0x00000003c414b0 @options=Hamster::Hash[], @datasets=Hamster::Vector[#<GnuplotRB::Dataset:0x00000003c41438 @type=:math_function, @data=\"sin(x * 30 - 10 * 4.775220833456486) * exp(-abs(x + 2 * sin(4.775220833456486)))\", @options=Hamster::Hash[:title => \"Moving sinx\"]>], @cmd=\"plot \">, #<GnuplotRB::Plot:0x00000003c40f38 @options=Hamster::Hash[], @datasets=Hamster::Vector[#<GnuplotRB::Dataset:0x00000003c40ec0 @type=:math_function, @data=\"sin(x * 30 - 10 * 4.838052686528282) * exp(-abs(x + 2 * sin(4.838052686528282)))\", @options=Hamster::Hash[:title => \"Moving sinx\"]>], @cmd=\"plot \">, #<GnuplotRB::Plot:0x00000003c409c0 @options=Hamster::Hash[], @datasets=Hamster::Vector[#<GnuplotRB::Dataset:0x00000003c40948 @type=:math_function, @data=\"sin(x * 30 - 10 * 4.900884539600078) * exp(-abs(x + 2 * sin(4.900884539600078)))\", @options=Hamster::Hash[:title => \"Moving sinx\"]>], @cmd=\"plot \">, #<GnuplotRB::Plot:0x00000003c40448 @options=Hamster::Hash[], @datasets=Hamster::Vector[#<GnuplotRB::Dataset:0x00000003c403d0 @type=:math_function, @data=\"sin(x * 30 - 10 * 4.9637163926718735) * exp(-abs(x + 2 * sin(4.9637163926718735)))\", @options=Hamster::Hash[:title => \"Moving sinx\"]>], @cmd=\"plot \">, #<GnuplotRB::Plot:0x00000003d73e78 @options=Hamster::Hash[], @datasets=Hamster::Vector[#<GnuplotRB::Dataset:0x00000003d73e00 @type=:math_function, @data=\"sin(x * 30 - 10 * 5.026548245743669) * exp(-abs(x + 2 * sin(5.026548245743669)))\", @options=Hamster::Hash[:title => \"Moving sinx\"]>], @cmd=\"plot \">, #<GnuplotRB::Plot:0x00000003d73900 @options=Hamster::Hash[], @datasets=Hamster::Vector[#<GnuplotRB::Dataset:0x00000003d73888 @type=:math_function, @data=\"sin(x * 30 - 10 * 5.089380098815465) * exp(-abs(x + 2 * sin(5.089380098815465)))\", @options=Hamster::Hash[:title => \"Moving sinx\"]>], @cmd=\"plot \">, #<GnuplotRB::Plot:0x00000003d73388 @options=Hamster::Hash[], @datasets=Hamster::Vector[#<GnuplotRB::Dataset:0x00000003d73310 @type=:math_function, @data=\"sin(x * 30 - 10 * 5.152211951887261) * exp(-abs(x + 2 * sin(5.152211951887261)))\", @options=Hamster::Hash[:title => \"Moving sinx\"]>], @cmd=\"plot \">, #<GnuplotRB::Plot:0x00000003d72e10 @options=Hamster::Hash[], @datasets=Hamster::Vector[#<GnuplotRB::Dataset:0x00000003d72d98 @type=:math_function, @data=\"sin(x * 30 - 10 * 5.215043804959057) * exp(-abs(x + 2 * sin(5.215043804959057)))\", @options=Hamster::Hash[:title => \"Moving sinx\"]>], @cmd=\"plot \">, #<GnuplotRB::Plot:0x00000003d72898 @options=Hamster::Hash[], @datasets=Hamster::Vector[#<GnuplotRB::Dataset:0x00000003d72820 @type=:math_function, @data=\"sin(x * 30 - 10 * 5.277875658030853) * exp(-abs(x + 2 * sin(5.277875658030853)))\", @options=Hamster::Hash[:title => \"Moving sinx\"]>], @cmd=\"plot \">, #<GnuplotRB::Plot:0x00000003d72320 @options=Hamster::Hash[], @datasets=Hamster::Vector[#<GnuplotRB::Dataset:0x00000003d722a8 @type=:math_function, @data=\"sin(x * 30 - 10 * 5.340707511102649) * exp(-abs(x + 2 * sin(5.340707511102649)))\", @options=Hamster::Hash[:title => \"Moving sinx\"]>], @cmd=\"plot \">, #<GnuplotRB::Plot:0x00000003d71da8 @options=Hamster::Hash[], @datasets=Hamster::Vector[#<GnuplotRB::Dataset:0x00000003d71d30 @type=:math_function, @data=\"sin(x * 30 - 10 * 5.403539364174445) * exp(-abs(x + 2 * sin(5.403539364174445)))\", @options=Hamster::Hash[:title => \"Moving sinx\"]>], @cmd=\"plot \">, #<GnuplotRB::Plot:0x00000003d71830 @options=Hamster::Hash[], @datasets=Hamster::Vector[#<GnuplotRB::Dataset:0x00000003d717b8 @type=:math_function, @data=\"sin(x * 30 - 10 * 5.46637121724624) * exp(-abs(x + 2 * sin(5.46637121724624)))\", @options=Hamster::Hash[:title => \"Moving sinx\"]>], @cmd=\"plot \">, #<GnuplotRB::Plot:0x00000003d712b8 @options=Hamster::Hash[], @datasets=Hamster::Vector[#<GnuplotRB::Dataset:0x00000003d71240 @type=:math_function, @data=\"sin(x * 30 - 10 * 5.529203070318037) * exp(-abs(x + 2 * sin(5.529203070318037)))\", @options=Hamster::Hash[:title => \"Moving sinx\"]>], @cmd=\"plot \">, #<GnuplotRB::Plot:0x00000003d70d40 @options=Hamster::Hash[], @datasets=Hamster::Vector[#<GnuplotRB::Dataset:0x00000003d70cc8 @type=:math_function, @data=\"sin(x * 30 - 10 * 5.592034923389832) * exp(-abs(x + 2 * sin(5.592034923389832)))\", @options=Hamster::Hash[:title => \"Moving sinx\"]>], @cmd=\"plot \">, #<GnuplotRB::Plot:0x00000003d707c8 @options=Hamster::Hash[], @datasets=Hamster::Vector[#<GnuplotRB::Dataset:0x00000003d70750 @type=:math_function, @data=\"sin(x * 30 - 10 * 5.6548667764616285) * exp(-abs(x + 2 * sin(5.6548667764616285)))\", @options=Hamster::Hash[:title => \"Moving sinx\"]>], @cmd=\"plot \">, #<GnuplotRB::Plot:0x00000003d70250 @options=Hamster::Hash[], @datasets=Hamster::Vector[#<GnuplotRB::Dataset:0x00000003d701d8 @type=:math_function, @data=\"sin(x * 30 - 10 * 5.717698629533424) * exp(-abs(x + 2 * sin(5.717698629533424)))\", @options=Hamster::Hash[:title => \"Moving sinx\"]>], @cmd=\"plot \">, #<GnuplotRB::Plot:0x00000003d77c80 @options=Hamster::Hash[], @datasets=Hamster::Vector[#<GnuplotRB::Dataset:0x00000003d77c08 @type=:math_function, @data=\"sin(x * 30 - 10 * 5.7805304826052195) * exp(-abs(x + 2 * sin(5.7805304826052195)))\", @options=Hamster::Hash[:title => \"Moving sinx\"]>], @cmd=\"plot \">, #<GnuplotRB::Plot:0x00000003d77708 @options=Hamster::Hash[], @datasets=Hamster::Vector[#<GnuplotRB::Dataset:0x00000003d77690 @type=:math_function, @data=\"sin(x * 30 - 10 * 5.843362335677016) * exp(-abs(x + 2 * sin(5.843362335677016)))\", @options=Hamster::Hash[:title => \"Moving sinx\"]>], @cmd=\"plot \">, #<GnuplotRB::Plot:0x00000003d77190 @options=Hamster::Hash[], @datasets=Hamster::Vector[#<GnuplotRB::Dataset:0x00000003d77118 @type=:math_function, @data=\"sin(x * 30 - 10 * 5.906194188748811) * exp(-abs(x + 2 * sin(5.906194188748811)))\", @options=Hamster::Hash[:title => \"Moving sinx\"]>], @cmd=\"plot \">, #<GnuplotRB::Plot:0x00000003d76c18 @options=Hamster::Hash[], @datasets=Hamster::Vector[#<GnuplotRB::Dataset:0x00000003d76ba0 @type=:math_function, @data=\"sin(x * 30 - 10 * 5.969026041820608) * exp(-abs(x + 2 * sin(5.969026041820608)))\", @options=Hamster::Hash[:title => \"Moving sinx\"]>], @cmd=\"plot \">, #<GnuplotRB::Plot:0x00000003d766a0 @options=Hamster::Hash[], @datasets=Hamster::Vector[#<GnuplotRB::Dataset:0x00000003d76628 @type=:math_function, @data=\"sin(x * 30 - 10 * 6.031857894892403) * exp(-abs(x + 2 * sin(6.031857894892403)))\", @options=Hamster::Hash[:title => \"Moving sinx\"]>], @cmd=\"plot \">, #<GnuplotRB::Plot:0x00000003d76128 @options=Hamster::Hash[], @datasets=Hamster::Vector[#<GnuplotRB::Dataset:0x00000003d760b0 @type=:math_function, @data=\"sin(x * 30 - 10 * 6.094689747964199) * exp(-abs(x + 2 * sin(6.094689747964199)))\", @options=Hamster::Hash[:title => \"Moving sinx\"]>], @cmd=\"plot \">, #<GnuplotRB::Plot:0x00000003d75bb0 @options=Hamster::Hash[], @datasets=Hamster::Vector[#<GnuplotRB::Dataset:0x00000003d75b38 @type=:math_function, @data=\"sin(x * 30 - 10 * 6.157521601035995) * exp(-abs(x + 2 * sin(6.157521601035995)))\", @options=Hamster::Hash[:title => \"Moving sinx\"]>], @cmd=\"plot \">, #<GnuplotRB::Plot:0x00000003d75638 @options=Hamster::Hash[], @datasets=Hamster::Vector[#<GnuplotRB::Dataset:0x00000003d755c0 @type=:math_function, @data=\"sin(x * 30 - 10 * 6.220353454107791) * exp(-abs(x + 2 * sin(6.220353454107791)))\", @options=Hamster::Hash[:title => \"Moving sinx\"]>], @cmd=\"plot \">], @options=Hamster::Hash[:yrange => -2..2, :xrange => -5..5, :samples => 1000]>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def periodic_plots\n",
    "  count = 100\n",
    "  timestep = 2 * PI / count\n",
    "  count.times.map do |i|\n",
    "    angle = i * timestep\n",
    "    Plot.new([\"sin(x * 30 - 10 * #{angle}) * exp(-abs(x + 2 * sin(#{angle})))\", title: 'Moving sinx'])\n",
    "  end\n",
    "end\n",
    "\n",
    "Animation.new(*periodic_plots, xrange: -5..5, yrange: -2..2, samples: 1000)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Trajectory plots"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
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      "text/plain": [
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@options=Hamster::Hash[:pointtype => 7, :pointsize => 2, :title => \"Object\"]>], @cmd=\"plot \">, #<GnuplotRB::Plot:0x00000003f3ecf8 @options=Hamster::Hash[:yrange => 0..6.800000000000001, :xrange => 0..1], @datasets=Hamster::Vector[#<GnuplotRB::Dataset:0x00000003f3eb40 @type=:datablock, @data=#<GnuplotRB::Datablock:0x00000003f3eac8 @stored_in_file=false, @data=\"0.0 1.0\\n0.01 1.0\\n0.02 1.0\\n0.03 1.0\">, @options=Hamster::Hash[:title => \"Velocity (x)\", :with => \"lines\"]>, #<GnuplotRB::Dataset:0x00000003f3e3c0 @type=:datablock, @data=#<GnuplotRB::Datablock:0x00000003f3e348 @stored_in_file=false, @data=\"0.0 3.0\\n0.01 2.902\\n0.02 2.804\\n0.03 2.706\">, @options=Hamster::Hash[:title => \"Velocity (y)\", :with => \"lines\"]>], @cmd=\"plot \">], @options=Hamster::Hash[:layout => [2, 1]]>, #<GnuplotRB::Multiplot:0x00000003f43028 @plots=Hamster::Vector[#<GnuplotRB::Plot:0x00000003f3d6f0 @options=Hamster::Hash[:yrange => 1.0999999999999996..3.4591836734693877, :xrange => 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@data=#<GnuplotRB::Datablock:0x00000003f42010 @stored_in_file=false, @data=\"-9.95 3.13775\">, @options=Hamster::Hash[:pointtype => 7, :pointsize => 2, :title => \"Object\"]>], @cmd=\"plot \">, #<GnuplotRB::Plot:0x00000003f41818 @options=Hamster::Hash[:yrange => 0..6.800000000000001, :xrange => 0..1], @datasets=Hamster::Vector[#<GnuplotRB::Dataset:0x00000003f41660 @type=:datablock, @data=#<GnuplotRB::Datablock:0x00000003f415e8 @stored_in_file=false, @data=\"0.0 1.0\\n0.01 1.0\\n0.02 1.0\\n0.03 1.0\\n0.04 1.0\\n0.05 1.0\">, @options=Hamster::Hash[:title => \"Velocity (x)\", :with => \"lines\"]>, #<GnuplotRB::Dataset:0x00000003f40d50 @type=:datablock, @data=#<GnuplotRB::Datablock:0x00000003f40cd8 @stored_in_file=false, @data=\"0.0 3.0\\n0.01 2.902\\n0.02 2.804\\n0.03 2.706\\n0.04 2.608\\n0.05 2.51\">, @options=Hamster::Hash[:title => \"Velocity (y)\", :with => \"lines\"]>], @cmd=\"plot \">], @options=Hamster::Hash[:layout => [2, 1]]>, #<GnuplotRB::Multiplot:0x00000003f49388 @plots=Hamster::Vector[#<GnuplotRB::Plot:0x00000003f4bea8 @options=Hamster::Hash[:yrange => 1.0999999999999996..3.4591836734693877, :xrange => -10.0..-9.0], @datasets=Hamster::Vector[#<GnuplotRB::Dataset:0x00000003f4bcf0 @type=:datablock, @data=#<GnuplotRB::Datablock:0x00000003f4bc78 @stored_in_file=false, @data=\"-10.0 3.0\\n-9.99 3.0295099999999997\\n-9.98 3.05804\\n-9.97 3.08559\\n-9.96 3.1121600000000003\\n-9.95 3.13775\\n-9.94 3.16236\">, @options=Hamster::Hash[:title => \"Object's trajectory\", :with => \"lines\", :lw => 2]>, #<GnuplotRB::Dataset:0x00000003f4b278 @type=:datablock, @data=#<GnuplotRB::Datablock:0x00000003f4b200 @stored_in_file=false, @data=\"-9.94 3.16236\">, @options=Hamster::Hash[:pointtype => 7, :pointsize => 2, :title => \"Object\"]>], @cmd=\"plot \">, #<GnuplotRB::Plot:0x00000003f4aa08 @options=Hamster::Hash[:yrange => 0..6.800000000000001, :xrange => 0..1], @datasets=Hamster::Vector[#<GnuplotRB::Dataset:0x00000003f4a850 @type=:datablock, @data=#<GnuplotRB::Datablock:0x00000003f4a7d8 @stored_in_file=false, @data=\"0.0 1.0\\n0.01 1.0\\n0.02 1.0\\n0.03 1.0\\n0.04 1.0\\n0.05 1.0\\n0.06 1.0\">, @options=Hamster::Hash[:title => \"Velocity (x)\", :with => \"lines\"]>, #<GnuplotRB::Dataset:0x00000003f49e78 @type=:datablock, @data=#<GnuplotRB::Datablock:0x00000003f49e00 @stored_in_file=false, @data=\"0.0 3.0\\n0.01 2.902\\n0.02 2.804\\n0.03 2.706\\n0.04 2.608\\n0.05 2.51\\n0.06 2.412\">, @options=Hamster::Hash[:title => \"Velocity (y)\", :with => \"lines\"]>], @cmd=\"plot \">], @options=Hamster::Hash[:layout => [2, 1]]>, #<GnuplotRB::Multiplot:0x00000003f52168 @plots=Hamster::Vector[#<GnuplotRB::Plot:0x00000003f48f50 @options=Hamster::Hash[:yrange => 1.0999999999999996..3.4591836734693877, :xrange => -10.0..-9.0], @datasets=Hamster::Vector[#<GnuplotRB::Dataset:0x00000003f48d98 @type=:datablock, @data=#<GnuplotRB::Datablock:0x00000003f48d20 @stored_in_file=false, @data=\"-10.0 3.0\\n-9.99 3.0295099999999997\\n-9.98 3.05804\\n-9.97 3.08559\\n-9.96 3.1121600000000003\\n-9.95 3.13775\\n-9.94 3.16236\\n-9.93 3.18599\">, @options=Hamster::Hash[:title => \"Object's trajectory\", :with => \"lines\", :lw => 2]>, #<GnuplotRB::Dataset:0x00000003f48258 @type=:datablock, @data=#<GnuplotRB::Datablock:0x00000003f481e0 @stored_in_file=false, @data=\"-9.93 3.18599\">, @options=Hamster::Hash[:pointtype => 7, :pointsize => 2, :title => \"Object\"]>], @cmd=\"plot \">, #<GnuplotRB::Plot:0x00000003f53978 @options=Hamster::Hash[:yrange => 0..6.800000000000001, :xrange => 0..1], @datasets=Hamster::Vector[#<GnuplotRB::Dataset:0x00000003f537c0 @type=:datablock, @data=#<GnuplotRB::Datablock:0x00000003f53748 @stored_in_file=false, @data=\"0.0 1.0\\n0.01 1.0\\n0.02 1.0\\n0.03 1.0\\n0.04 1.0\\n0.05 1.0\\n0.06 1.0\\n0.07 1.0\">, @options=Hamster::Hash[:title => \"Velocity (x)\", :with => \"lines\"]>, #<GnuplotRB::Dataset:0x00000003f52d20 @type=:datablock, @data=#<GnuplotRB::Datablock:0x00000003f52ca8 @stored_in_file=false, @data=\"0.0 3.0\\n0.01 2.902\\n0.02 2.804\\n0.03 2.706\\n0.04 2.608\\n0.05 2.51\\n0.06 2.412\\n0.07 2.314\">, @options=Hamster::Hash[:title => \"Velocity (y)\", :with => \"lines\"]>], @cmd=\"plot \">], @options=Hamster::Hash[:layout => [2, 1]]>, #<GnuplotRB::Multiplot:0x00000003f5ad18 @plots=Hamster::Vector[#<GnuplotRB::Plot:0x00000003f51d30 @options=Hamster::Hash[:yrange => 1.0999999999999996..3.4591836734693877, :xrange => -10.0..-9.0], @datasets=Hamster::Vector[#<GnuplotRB::Dataset:0x00000003f51b78 @type=:datablock, @data=#<GnuplotRB::Datablock:0x00000003f51b00 @stored_in_file=false, @data=\"-10.0 3.0\\n-9.99 3.0295099999999997\\n-9.98 3.05804\\n-9.97 3.08559\\n-9.96 3.1121600000000003\\n-9.95 3.13775\\n-9.94 3.16236\\n-9.93 3.18599\\n-9.92 3.2086400000000004\">, @options=Hamster::Hash[:title => \"Object's trajectory\", :with => \"lines\", :lw => 2]>, #<GnuplotRB::Dataset:0x00000003f50f70 @type=:datablock, @data=#<GnuplotRB::Datablock:0x00000003f50ef8 @stored_in_file=false, @data=\"-9.92 3.2086400000000004\">, @options=Hamster::Hash[:pointtype => 7, :pointsize => 2, :title => \"Object\"]>], @cmd=\"plot \">, #<GnuplotRB::Plot:0x00000003f50700 @options=Hamster::Hash[:yrange => 0..6.800000000000001, :xrange => 0..1], @datasets=Hamster::Vector[#<GnuplotRB::Dataset:0x00000003f50548 @type=:datablock, @data=#<GnuplotRB::Datablock:0x00000003f504d0 @stored_in_file=false, @data=\"0.0 1.0\\n0.01 1.0\\n0.02 1.0\\n0.03 1.0\\n0.04 1.0\\n0.05 1.0\\n0.06 1.0\\n0.07 1.0\\n0.08 1.0\">, @options=Hamster::Hash[:title => \"Velocity (x)\", :with => \"lines\"]>, #<GnuplotRB::Dataset:0x00000003f5b998 @type=:datablock, @data=#<GnuplotRB::Datablock:0x00000003f5b920 @stored_in_file=false, @data=\"0.0 3.0\\n0.01 2.902\\n0.02 2.804\\n0.03 2.706\\n0.04 2.608\\n0.05 2.51\\n0.06 2.412\\n0.07 2.314\\n0.08 2.216\">, @options=Hamster::Hash[:title => \"Velocity (y)\", :with => \"lines\"]>], @cmd=\"plot \">], @options=Hamster::Hash[:layout => [2, 1]]>, #<GnuplotRB::Multiplot:0x00000003f63670 @plots=Hamster::Vector[#<GnuplotRB::Plot:0x00000003f5a8e0 @options=Hamster::Hash[:yrange => 1.0999999999999996..3.4591836734693877, :xrange => -10.0..-9.0], @datasets=Hamster::Vector[#<GnuplotRB::Dataset:0x00000003f5a728 @type=:datablock, @data=#<GnuplotRB::Datablock:0x00000003f5a6b0 @stored_in_file=false, @data=\"-10.0 3.0\\n-9.99 3.0295099999999997\\n-9.98 3.05804\\n-9.97 3.08559\\n-9.96 3.1121600000000003\\n-9.95 3.13775\\n-9.94 3.16236\\n-9.93 3.18599\\n-9.92 3.2086400000000004\\n-9.91 3.2303100000000002\">, @options=Hamster::Hash[:title => \"Object's trajectory\", :with => \"lines\", :lw => 2]>, #<GnuplotRB::Dataset:0x00000003f59a58 @type=:datablock, @data=#<GnuplotRB::Datablock:0x00000003f599e0 @stored_in_file=false, @data=\"-9.91 3.2303100000000002\">, @options=Hamster::Hash[:pointtype => 7, :pointsize => 2, :title => \"Object\"]>], @cmd=\"plot \">, #<GnuplotRB::Plot:0x00000003f591e8 @options=Hamster::Hash[:yrange => 0..6.800000000000001, :xrange => 0..1], @datasets=Hamster::Vector[#<GnuplotRB::Dataset:0x00000003f59030 @type=:datablock, @data=#<GnuplotRB::Datablock:0x00000003f58fb8 @stored_in_file=false, @data=\"0.0 1.0\\n0.01 1.0\\n0.02 1.0\\n0.03 1.0\\n0.04 1.0\\n0.05 1.0\\n0.06 1.0\\n0.07 1.0\\n0.08 1.0\\n0.09 1.0\">, @options=Hamster::Hash[:title => \"Velocity (x)\", :with => \"lines\"]>, #<GnuplotRB::Dataset:0x00000003f58400 @type=:datablock, @data=#<GnuplotRB::Datablock:0x00000003f58388 @stored_in_file=false, @data=\"0.0 3.0\\n0.01 2.902\\n0.02 2.804\\n0.03 2.706\\n0.04 2.608\\n0.05 2.51\\n0.06 2.412\\n0.07 2.314\\n0.08 2.216\\n0.09 2.118\">, @options=Hamster::Hash[:title => \"Velocity (y)\", :with => \"lines\"]>], @cmd=\"plot \">], @options=Hamster::Hash[:layout => [2, 1]]>, #<GnuplotRB::Multiplot:0x00000003f6bd70 @plots=Hamster::Vector[#<GnuplotRB::Plot:0x00000003f63238 @options=Hamster::Hash[:yrange => 1.0999999999999996..3.4591836734693877, :xrange => -10.0..-9.0], @datasets=Hamster::Vector[#<GnuplotRB::Dataset:0x00000003f63080 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      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "G = -9.8\n",
    "\n",
    "def generate_plots(initial, count, time)\n",
    "  timestep = time.to_f / count\n",
    "  xx = []\n",
    "  yy = []\n",
    "  vx = []\n",
    "  vy = []\n",
    "  tt = []\n",
    "  x_extremum = [\n",
    "    initial[:position][0] + initial[:velocity][0] * time,\n",
    "    initial[:position][0]\n",
    "  ]\n",
    "  y_extremum = [\n",
    "    initial[:position][1] + initial[:velocity][1] * time + (G * time ** 2) / 2,\n",
    "    initial[:position][1]\n",
    "  ]\n",
    "  if initial[:velocity][1] < time * G.abs && initial[:velocity][1] > 0\n",
    "    y_extremum << initial[:position][1] + (initial[:velocity][1] ** 2) / (2 * G).abs\n",
    "  end\n",
    "  v_extremum = [\n",
    "    (initial[:velocity][1] + time * G).abs,\n",
    "    initial[:velocity][0].abs,\n",
    "    initial[:velocity][1].abs\n",
    "  ]\n",
    "  max_x = x_extremum.max\n",
    "  min_x = x_extremum.min\n",
    "  max_y = y_extremum.max\n",
    "  min_y = y_extremum.min\n",
    "  min_v = 0\n",
    "  max_v = v_extremum.max\n",
    "  min_t = 0\n",
    "  max_t = time\n",
    "  count.times.map do |i|\n",
    "    t = i * timestep\n",
    "    tt << t\n",
    "    xx << initial[:position][0] + initial[:velocity][0] * t\n",
    "    yy << initial[:position][1] + initial[:velocity][1] * t + (G * t ** 2) / 2\n",
    "    vx << (initial[:velocity][0]).abs\n",
    "    vy << (initial[:velocity][1] + G * t).abs\n",
    "    trajectory = Plot.new(\n",
    "      [[xx, yy], with: 'lines', lw: 2, title: \"Object's trajectory\"],\n",
    "      [[[xx.last], [yy.last]], pointtype: 7, pointsize: 2, title: 'Object'],\n",
    "      xrange: min_x..max_x,\n",
    "      yrange: min_y..max_y,\n",
    "    )\n",
    "    velocity = Plot.new(\n",
    "      [[tt, vx], with: 'lines', title: \"Velocity (x)\"],\n",
    "      [[tt, vy], with: 'lines', title: \"Velocity (y)\"],\n",
    "      xrange: min_t..max_t,\n",
    "      yrange: min_v..max_v,\n",
    "    )\n",
    "    Multiplot.new(trajectory, velocity, layout: [2, 1])\n",
    "  end\n",
    "end\n",
    "\n",
    "initial = {\n",
    "  position: [-10.0, 3.0],\n",
    "  velocity: [1.0, 3.0]\n",
    "}\n",
    "\n",
    "plots = generate_plots(initial, 100, 1)\n",
    "\n",
    "trajectory = Animation.new(*plots)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "##### Specific options\n",
    "\n",
    "Animations has many specific options which you can find in Gnuplot's documentation (in section about gif terminal). Mostly used in GnuplotRB are:\n",
    " * *animate* (with suboptions *delay* and *loop*)\n",
    " * *size*\n",
    " * *background*\n",
    "\n",
    "So lets change delay of previous animation and enlarge the plot."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
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      "text/plain": [
       "#<GnuplotRB::Animation:0x0000000405d4b8 @plots=Hamster::Vector[#<GnuplotRB::Multiplot:0x00000003f28cc8 @plots=Hamster::Vector[#<GnuplotRB::Plot:0x00000003f2a960 @options=Hamster::Hash[:yrange => 1.0999999999999996..3.4591836734693877, :xrange => -10.0..-9.0], @datasets=Hamster::Vector[#<GnuplotRB::Dataset:0x00000003f2a7a8 @type=:datablock, @data=#<GnuplotRB::Datablock:0x00000003f2a730 @stored_in_file=false, @data=\"-10.0 3.0\">, @options=Hamster::Hash[:title => \"Object's trajectory\", :with => \"lines\", :lw => 2]>, #<GnuplotRB::Dataset:0x00000003f2a208 @type=:datablock, @data=#<GnuplotRB::Datablock:0x00000003f2a190 @stored_in_file=false, @data=\"-10.0 3.0\">, @options=Hamster::Hash[:pointtype => 7, :pointsize => 2, :title => \"Object\"]>], @cmd=\"plot \">, #<GnuplotRB::Plot:0x00000003f29998 @options=Hamster::Hash[:yrange => 0..6.800000000000001, :xrange => 0..1], @datasets=Hamster::Vector[#<GnuplotRB::Dataset:0x00000003f297e0 @type=:datablock, 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      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "trajectory.options(animate: {delay: 20, loop: 1}, size: [640, 800], background: '#EDE8FF')"
   ]
  }
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