{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# octavemagic: Octave inside IPython"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Installation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The `octavemagic` extension provides the ability to interact with Octave.  It is provided by the `oct2py` package,\n",
    "which may be installed using `pip` or `easy_install`.\n",
    "\n",
    "To enable the extension, load it as follows:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%load_ext oct2py.ipython"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Overview"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Loading the extension enables three magic functions: `%octave`, `%octave_push`, and `%octave_pull`.\n",
    "\n",
    "The first is for executing one or more lines of Octave, while the latter allow moving variables between the Octave and Python workspace.\n",
    "Here you see an example of how to execute a single line of Octave, and how to transfer the generated value back to Python:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 1.,  2.],\n",
       "       [ 3.,  4.]])"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x = %octave [1 2; 3 4];\n",
    "x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 2.,  4.,  6.]])"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a = [1, 2, 3]\n",
    "\n",
    "%octave_push a\n",
    "%octave a = a * 2;\n",
    "%octave_pull a\n",
    "a"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "When using the cell magic, `%%octave` (note the double `%`), multiple lines of Octave can be executed together.  Unlike\n",
    "with the single cell magic, no value is returned, so we use the `-i` and `-o` flags to specify input and output variables.  Also note the use of the semicolon to suppress the Octave output."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "%%octave -i x -o U,S,V\n",
    "[U, S, V] = svd(x);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[-0.40455358 -0.9145143 ]\n",
      " [-0.9145143   0.40455358]] [[ 5.4649857   0.        ]\n",
      " [ 0.          0.36596619]] [[-0.57604844  0.81741556]\n",
      " [-0.81741556 -0.57604844]]\n"
     ]
    }
   ],
   "source": [
    "print(U, S, V)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Plotting"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plot output is automatically captured and displayed, and using the `-f` flag you may choose its format (currently, `png` and `svg` are supported)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "12*x^4 - 2.5*x^3 - 8*x^2 - 0.1*x^1 + 8"
      ]
     },
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    },
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       "<IPython.core.display.SVG object>"
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     },
     "metadata": {},
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   ],
   "source": [
    "%%octave -f svg\n",
    "\n",
    "p = [12 -2.5 -8 -0.1 8];\n",
    "x = 0:0.01:1;\n",
    "\n",
    "polyout(p, 'x')\n",
    "plot(x, polyval(p, x));"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The width or the height can be specified to constrain the image while maintaining the original aspect ratio."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
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v5g1gOSOOrLpWq5Uxpqqq5XK5Wq2+9rWvHR0dHR8fF0Vxfn6+boeNwY9JoV9E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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%octave -f png -w 600\n",
    "\n",
    "% butterworth filter, order 2, cutoff pi/2 radians\n",
    "b = [0.292893218813452  0.585786437626905  0.292893218813452];\n",
    "a = [1  0  0.171572875253810];\n",
    "freqz(b, a, 32);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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MnDlzml9SnCjw10dxl0MbYgzW4uIohwMAwzARwNaPPhLqyDUgYISP/1MIdbf3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\nAJsOOsvTq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A1JC0cANu13VpxvHbrzDp55U/b7+3QoPG+WuvdADGiTj2NfFaCWP9DHKVzy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\n3ZzImAXovUKJCnkA7hLp4HqA1+crxWllb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33iNdrkOemJ58uKmpp0jn3et3099faFdxuv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\n9927d++WcqVXNTWRSAmv8mbK8K2gZLFYhOqMBBE2HA6H3W5nCY9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      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%octave -s 600,200 -f png\n",
    "\n",
    "% Note: On Windows, this will not show the plots unless Ghostscript is installed.\n",
    "\n",
    "subplot(121);\n",
    "[x, y] = meshgrid(0:0.1:3);\n",
    "r = sin(x - 0.5).^2 + cos(y - 0.5).^2;\n",
    "surf(x, y, r);\n",
    "\n",
    "subplot(122);\n",
    "sombrero()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Multiple figures can be drawn.  Note that when using imshow the image will be created as a PNG with the raw\n",
    "image dimensions."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<svg height=\"420px\" viewBox=\"0 0 560 420\" width=\"560px\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       "\n",
       "<title>Gnuplot</title>\n",
       "<desc>Produced by GNUPLOT 5.1 patchlevel 0 </desc>\n",
       "\n",
       "<g id=\"gnuplot_canvas\">\n",
       "\n",
       "<rect fill=\"none\" height=\"420\" width=\"560\" x=\"0\" y=\"0\"/>\n",
       "<defs>\n",
       "\n",
       "\t<circle id=\"gpDot\" r=\"0.5\" stroke-width=\"0.5\"/>\n",
       "\t<path d=\"M-1,0 h2 M0,-1 v2\" id=\"gpPt0\" stroke=\"currentColor\" stroke-width=\"0.333\"/>\n",
       "\t<path d=\"M-1,-1 L1,1 M1,-1 L-1,1\" id=\"gpPt1\" stroke=\"currentColor\" stroke-width=\"0.333\"/>\n",
       "\t<path d=\"M-1,0 L1,0 M0,-1 L0,1 M-1,-1 L1,1 M-1,1 L1,-1\" id=\"gpPt2\" stroke=\"currentColor\" stroke-width=\"0.333\"/>\n",
       "\t<rect height=\"2\" id=\"gpPt3\" stroke=\"currentColor\" stroke-width=\"0.333\" width=\"2\" x=\"-1\" y=\"-1\"/>\n",
       "\t<rect fill=\"currentColor\" height=\"2\" id=\"gpPt4\" stroke=\"currentColor\" stroke-width=\"0.333\" width=\"2\" x=\"-1\" y=\"-1\"/>\n",
       "\t<circle cx=\"0\" cy=\"0\" id=\"gpPt5\" r=\"1\" stroke=\"currentColor\" stroke-width=\"0.333\"/>\n",
       "\t<use fill=\"currentColor\" id=\"gpPt6\" stroke=\"none\" xlink:href=\"#gpPt5\"/>\n",
       "\t<path d=\"M0,-1.33 L-1.33,0.67 L1.33,0.67 z\" id=\"gpPt7\" stroke=\"currentColor\" stroke-width=\"0.333\"/>\n",
       "\t<use fill=\"currentColor\" id=\"gpPt8\" stroke=\"none\" xlink:href=\"#gpPt7\"/>\n",
       "\t<use id=\"gpPt9\" stroke=\"currentColor\" transform=\"rotate(180)\" xlink:href=\"#gpPt7\"/>\n",
       "\t<use fill=\"currentColor\" id=\"gpPt10\" stroke=\"none\" xlink:href=\"#gpPt9\"/>\n",
       "\t<use id=\"gpPt11\" stroke=\"currentColor\" transform=\"rotate(45)\" xlink:href=\"#gpPt3\"/>\n",
       "\t<use fill=\"currentColor\" id=\"gpPt12\" stroke=\"none\" xlink:href=\"#gpPt11\"/>\n",
       "\t<path d=\"M0,1.330 L1.265,0.411 L0.782,-1.067 L-0.782,-1.076 L-1.265,0.411 z\" id=\"gpPt13\" stroke=\"currentColor\" stroke-width=\"0.333\"/>\n",
       "\t<use fill=\"currentColor\" id=\"gpPt14\" stroke=\"none\" xlink:href=\"#gpPt13\"/>\n",
       "\t<filter filterUnits=\"objectBoundingBox\" height=\"1\" id=\"textbox\" width=\"1\" x=\"0\" y=\"0\">\n",
       "\t  <feFlood flood-color=\"white\" flood-opacity=\"1\" result=\"bgnd\"/>\n",
       "\t  <feComposite in=\"SourceGraphic\" in2=\"bgnd\" operator=\"atop\"/>\n",
       "\t</filter>\n",
       "\t<filter filterUnits=\"objectBoundingBox\" height=\"1\" id=\"greybox\" width=\"1\" x=\"0\" y=\"0\">\n",
       "\t  <feFlood flood-color=\"lightgrey\" flood-opacity=\"1\" result=\"grey\"/>\n",
       "\t  <feComposite in=\"SourceGraphic\" in2=\"grey\" operator=\"atop\"/>\n",
       "\t</filter>\n",
       "</defs>\n",
       "<g color=\"white\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"1.00\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"rgb(255, 255, 255)\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"0.50\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"0.50\">\n",
       "</g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"0.50\">\n",
       "\t<path d=\"M69.5,286.1 L307.7,221.5  \" stroke=\"black\"/></g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"0.50\">\n",
       "\t<path d=\"M490.5,305.7 L307.7,221.5  \" stroke=\"black\"/></g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"0.50\">\n",
       "\t<path d=\"M69.5,286.1 L69.5,102.3  \" stroke=\"black\"/></g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"0.50\">\n",
       "\t<path d=\"M307.7,221.5 L307.7,37.6  \" stroke=\"black\"/></g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"0.50\">\n",
       "\t<path d=\"M490.5,305.7 L490.5,121.9  \" stroke=\"black\"/></g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"0.50\">\n",
       "\t<path d=\"M69.5,102.3 L307.7,37.6  \" stroke=\"black\"/></g>\n",
       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"0.50\">\n",
       "\t<path d=\"M490.5,121.9 L307.7,37.6  \" stroke=\"black\"/></g>\n",
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     },
     "metadata": {},
     "output_type": "display_data"
    },
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1KmQvMZW8t91+hdeJZUvCfOfLFCsnAPlzV5IGln1OyyjHq2XtUi6sOhGlPGG5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\nlx7tu74AfwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%octave -f svg -h 300\n",
    "sombrero\n",
    "figure\n",
    "imshow(rand(200,200))"
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.10.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}