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Added dragon_curve notebooks to examples/demos
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| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -0,0 +1,152 @@ | ||
| { | ||
| "cells": [ | ||
| { | ||
| "cell_type": "markdown", | ||
| "metadata": {}, | ||
| "source": [ | ||
| "Dragon curve example from the [L-systems](../../topics/geometry/lsystems.ipynb) topic notebook in ``examples/topics/geometry``.\n", | ||
| "\n", | ||
| "Most examples work across multiple plotting backends, this example is also available for:\n", | ||
| "* [Matplotlib - dragon_curve](../matplotlib/dragon_curve.ipynb)" | ||
| ] | ||
| }, | ||
| { | ||
| "cell_type": "code", | ||
| "execution_count": null, | ||
| "metadata": {}, | ||
| "outputs": [], | ||
| "source": [ | ||
| "import holoviews as hv\n", | ||
| "import numpy as np\n", | ||
| "hv.extension('bokeh')" | ||
| ] | ||
| }, | ||
| { | ||
| "cell_type": "markdown", | ||
| "metadata": {}, | ||
| "source": [ | ||
| "## L-system definition" | ||
| ] | ||
| }, | ||
| { | ||
| "cell_type": "markdown", | ||
| "metadata": {}, | ||
| "source": [ | ||
| "The following class is a simplified version of the approach used in the [L-systems](../../topics/geometry/lsystems.ipynb) notebook, made specifically for plotting the [Dragon Curve](https://en.wikipedia.org/wiki/Dragon_curve)." | ||
| ] | ||
| }, | ||
| { | ||
| "cell_type": "code", | ||
| "execution_count": null, | ||
| "metadata": { | ||
| "collapsed": true | ||
| }, | ||
| "outputs": [], | ||
| "source": [ | ||
| "class DragonCurve(object):\n", | ||
| " \"L-system agent that follows rules to generate the Dragon Curve\"\n", | ||
| " \n", | ||
| " initial ='FX'\n", | ||
| " productions = {'X':'X+YF+', 'Y':'-FX-Y'}\n", | ||
| " dragon_rules = {'F': lambda t,d,a: t.forward(d),\n", | ||
| " 'B': lambda t,d,a: t.back(d),\n", | ||
| " '+': lambda t,d,a: t.rotate(-a),\n", | ||
| " '-': lambda t,d,a: t.rotate(a),\n", | ||
| " 'X':lambda t,d,a: None,\n", | ||
| " 'Y':lambda t,d,a: None }\n", | ||
| " \n", | ||
| " def __init__(self, x=0,y=0, iterations=1):\n", | ||
| " self.heading = 0\n", | ||
| " self.distance = 5\n", | ||
| " self.angle = 90\n", | ||
| " self.x, self.y = x,y\n", | ||
| " self.trace = [(self.x, self.y)]\n", | ||
| " self.process(self.expand(iterations), self.distance, self.angle)\n", | ||
| " \n", | ||
| " def process(self, instructions, distance, angle):\n", | ||
| " for i in instructions: \n", | ||
| " self.dragon_rules[i](self, distance, angle)\n", | ||
| " \n", | ||
| " def expand(self, iterations):\n", | ||
| " \"Expand an initial symbol with the given production rules\"\n", | ||
| " expansion = self.initial\n", | ||
| " \n", | ||
| " for i in range(iterations):\n", | ||
| " intermediate = \"\"\n", | ||
| " for ch in expansion:\n", | ||
| " intermediate = intermediate + self.productions.get(ch,ch)\n", | ||
| " expansion = intermediate\n", | ||
| " return expansion\n", | ||
| "\n", | ||
| " def forward(self, distance):\n", | ||
| " self.x += np.cos(2*np.pi * self.heading/360.0)\n", | ||
| " self.y += np.sin(2*np.pi * self.heading/360.0)\n", | ||
| " self.trace.append((self.x,self.y))\n", | ||
| " \n", | ||
| " def rotate(self, angle):\n", | ||
| " self.heading += angle\n", | ||
| " \n", | ||
| " def back(self, distance):\n", | ||
| " self.heading += 180\n", | ||
| " self.forward(distance)\n", | ||
| " self.heading += 180\n", | ||
| " \n", | ||
| " @property\n", | ||
| " def path(self):\n", | ||
| " return hv.Path([self.trace])" | ||
| ] | ||
| }, | ||
| { | ||
| "cell_type": "markdown", | ||
| "metadata": {}, | ||
| "source": [ | ||
| "## Plot" | ||
| ] | ||
| }, | ||
| { | ||
| "cell_type": "code", | ||
| "execution_count": null, | ||
| "metadata": {}, | ||
| "outputs": [], | ||
| "source": [ | ||
| "%%opts Path {+framewise} [xaxis=None yaxis=None title_format=''] (color='black' line_width=1)\n", | ||
| "\n", | ||
| "def pad_extents(path):\n", | ||
| " \"Add 5% padding around the path\"\n", | ||
| " minx, maxx = path.range('x')\n", | ||
| " miny, maxy = path.range('y')\n", | ||
| " xpadding = ((maxx-minx) * 0.1)/2\n", | ||
| " ypadding = ((maxy-miny) * 0.1)/2\n", | ||
| " path.extents = (minx-xpadding, miny-ypadding, maxx+xpadding, maxy+ypadding)\n", | ||
| " return path\n", | ||
| " \n", | ||
| "hmap = hv.HoloMap(kdims=['Iteration'])\n", | ||
| "for i in range(7,17):\n", | ||
| " path = DragonCurve(-200, 0, i).path\n", | ||
| " hmap[i] = pad_extents(path)\n", | ||
| "hmap" | ||
| ] | ||
| } | ||
| ], | ||
| "metadata": { | ||
| "kernelspec": { | ||
| "display_name": "Python 3", | ||
| "language": "python", | ||
| "name": "python3" | ||
| }, | ||
| "language_info": { | ||
| "codemirror_mode": { | ||
| "name": "ipython", | ||
| "version": 3 | ||
| }, | ||
| "file_extension": ".py", | ||
| "mimetype": "text/x-python", | ||
| "name": "python", | ||
| "nbconvert_exporter": "python", | ||
| "pygments_lexer": "ipython3", | ||
| "version": "3.6.1" | ||
| } | ||
| }, | ||
| "nbformat": 4, | ||
| "nbformat_minor": 2 | ||
| } |
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| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -0,0 +1,151 @@ | ||
| { | ||
| "cells": [ | ||
| { | ||
| "cell_type": "markdown", | ||
| "metadata": {}, | ||
| "source": [ | ||
| "Dragon curve example from the [L-systems](../../topics/geometry/lsystems.ipynb) topic notebook in ``examples/topics/geometry``.\n", | ||
| "\n", | ||
| "Most examples work across multiple plotting backends, this example is also available for:\n", | ||
| "* [Bokeh - dragon_curve](../bokeh/dragon_curve.ipynb)" | ||
| ] | ||
| }, | ||
| { | ||
| "cell_type": "code", | ||
| "execution_count": null, | ||
| "metadata": {}, | ||
| "outputs": [], | ||
| "source": [ | ||
| "import holoviews as hv\n", | ||
| "import numpy as np\n", | ||
| "hv.extension('matplotlib')" | ||
| ] | ||
| }, | ||
| { | ||
| "cell_type": "markdown", | ||
| "metadata": {}, | ||
| "source": [ | ||
| "## L-system definition" | ||
| ] | ||
| }, | ||
| { | ||
| "cell_type": "markdown", | ||
| "metadata": {}, | ||
| "source": [ | ||
| "The following class is a simplified version of the approach used in the [L-systems](../../topics/geometry/lsystems.ipynb) notebook, made specifically for plotting the [Dragon Curve](https://en.wikipedia.org/wiki/Dragon_curve)." | ||
| ] | ||
| }, | ||
| { | ||
| "cell_type": "code", | ||
| "execution_count": null, | ||
| "metadata": {}, | ||
| "outputs": [], | ||
| "source": [ | ||
| "class DragonCurve(object):\n", | ||
| " \"L-system agent that follows rules to generate the Dragon Curve\"\n", | ||
| " \n", | ||
| " initial ='FX'\n", | ||
| " productions = {'X':'X+YF+', 'Y':'-FX-Y'}\n", | ||
| " dragon_rules = {'F': lambda t,d,a: t.forward(d),\n", | ||
| " 'B': lambda t,d,a: t.back(d),\n", | ||
| " '+': lambda t,d,a: t.rotate(-a),\n", | ||
| " '-': lambda t,d,a: t.rotate(a),\n", | ||
| " 'X':lambda t,d,a: None,\n", | ||
| " 'Y':lambda t,d,a: None }\n", | ||
| " \n", | ||
| " def __init__(self, x=0,y=0, iterations=1):\n", | ||
| " self.heading = 0\n", | ||
| " self.distance = 5\n", | ||
| " self.angle = 90\n", | ||
| " self.x, self.y = x,y\n", | ||
| " self.trace = [(self.x, self.y)]\n", | ||
| " self.process(self.expand(iterations), self.distance, self.angle)\n", | ||
| " \n", | ||
| " def process(self, instructions, distance, angle):\n", | ||
| " for i in instructions: \n", | ||
| " self.dragon_rules[i](self, distance, angle)\n", | ||
| " \n", | ||
| " def expand(self, iterations):\n", | ||
| " \"Expand an initial symbol with the given production rules\"\n", | ||
| " expansion = self.initial\n", | ||
| " \n", | ||
| " for i in range(iterations):\n", | ||
| " intermediate = \"\"\n", | ||
| " for ch in expansion:\n", | ||
| " intermediate = intermediate + self.productions.get(ch,ch)\n", | ||
| " expansion = intermediate\n", | ||
| " return expansion\n", | ||
| "\n", | ||
| " def forward(self, distance):\n", | ||
| " self.x += np.cos(2*np.pi * self.heading/360.0)\n", | ||
| " self.y += np.sin(2*np.pi * self.heading/360.0)\n", | ||
| " self.trace.append((self.x,self.y))\n", | ||
| " \n", | ||
| " def rotate(self, angle):\n", | ||
| " self.heading += angle\n", | ||
| " \n", | ||
| " def back(self, distance):\n", | ||
| " self.heading += 180\n", | ||
| " self.forward(distance)\n", | ||
| " self.heading += 180\n", | ||
| " \n", | ||
| " @property\n", | ||
| " def path(self):\n", | ||
| " return hv.Path([self.trace])" | ||
| ] | ||
| }, | ||
| { | ||
| "cell_type": "markdown", | ||
| "metadata": {}, | ||
| "source": [ | ||
| "## Plot" | ||
| ] | ||
| }, | ||
| { | ||
| "cell_type": "code", | ||
| "execution_count": null, | ||
| "metadata": {}, | ||
| "outputs": [], | ||
| "source": [ | ||
| "%%output size=200\n", | ||
| "%%opts Path {+framewise} [xaxis=None yaxis=None title_format=''] (color='black' linewidth=1)\n", | ||
| "\n", | ||
| "def pad_extents(path):\n", | ||
| " \"Add 5% padding around the path\"\n", | ||
| " minx, maxx = path.range('x')\n", | ||
| " miny, maxy = path.range('y')\n", | ||
| " xpadding = ((maxx-minx) * 0.1)/2\n", | ||
| " ypadding = ((maxy-miny) * 0.1)/2\n", | ||
| " path.extents = (minx-xpadding, miny-ypadding, maxx+xpadding, maxy+ypadding)\n", | ||
| " return path\n", | ||
| " \n", | ||
| "hmap = hv.HoloMap(kdims=['Iteration'])\n", | ||
| "for i in range(7,17):\n", | ||
| " path = DragonCurve(-200, 0, i).path\n", | ||
| " hmap[i] = pad_extents(path)\n", | ||
| "hmap" | ||
| ] | ||
| } | ||
| ], | ||
| "metadata": { | ||
| "kernelspec": { | ||
| "display_name": "Python 3", | ||
| "language": "python", | ||
| "name": "python3" | ||
| }, | ||
| "language_info": { | ||
| "codemirror_mode": { | ||
| "name": "ipython", | ||
| "version": 3 | ||
| }, | ||
| "file_extension": ".py", | ||
| "mimetype": "text/x-python", | ||
| "name": "python", | ||
| "nbconvert_exporter": "python", | ||
| "pygments_lexer": "ipython3", | ||
| "version": "3.6.1" | ||
| } | ||
| }, | ||
| "nbformat": 4, | ||
| "nbformat_minor": 2 | ||
| } |