{
 "metadata": {
  "name": "Example_py2tex"
 },
 "nbformat": 3,
 "nbformat_minor": 0,
 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "heading",
     "level": 1,
     "metadata": {},
     "source": [
      "Py2tex extension example notebook"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "The py2tex extension can be found at <a href=\"https://gist.github.com/4032651\">https://gist.github.com/4032651</a>. The extension defines new magic functions to convert easy python formulas to a nice LaTeX representation. <br>\n",
      "The extension supports the python <a href=\"https://bitbucket.org/kiv/unum\">unum class</a> to provide unit aware calculation. The combination of ipython notebook with unit aware calculation make it perfect for engineering calculation worksheets."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%load_ext py2tex"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 1
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from math import *"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 2
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Normal usage"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%%tex a=1.0\n",
      "b = -1.0\n",
      "c = -1.0\n",
      "x_1=(-b+sqrt(b**2-4*a*c))/(2*a)\n",
      "x_2=(-b-sqrt(b**2-4*a*c))/(2*a)\n",
      "varphi = x_1"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "latex": [
        "$$\\mbox{a} = 1.0$$"
       ],
       "output_type": "display_data",
       "text": [
        "a=1.0"
       ]
      },
      {
       "latex": [
        "$$\\mbox{b} = -1.0$$"
       ],
       "output_type": "display_data",
       "text": [
        "b = -1.0"
       ]
      },
      {
       "latex": [
        "$$\\mbox{c} = -1.0$$"
       ],
       "output_type": "display_data",
       "text": [
        "c = -1.0"
       ]
      },
      {
       "latex": [
        "$$\\mbox{x}_{1} = \\frac{- b + \\sqrt{b^{2} - 4 \\cdot a \\cdot c}}{2 \\cdot a} = 1.618$$"
       ],
       "output_type": "display_data",
       "text": [
        "x_1=(-b+sqrt(b**2-4*a*c))/(2*a) = 1.618"
       ]
      },
      {
       "latex": [
        "$$\\mbox{x}_{2} = \\frac{- b - \\sqrt{b^{2} - 4 \\cdot a \\cdot c}}{2 \\cdot a} = -0.618$$"
       ],
       "output_type": "display_data",
       "text": [
        "x_2=(-b-sqrt(b**2-4*a*c))/(2*a) = -0.618"
       ]
      },
      {
       "latex": [
        "$$\\varphi = x_{1} = 1.618$$"
       ],
       "output_type": "display_data",
       "text": [
        "varphi = x_1 = 1.618"
       ]
      }
     ],
     "prompt_number": 3
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%texnr x_1_2=x_1+x_2"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "latex": [
        "$$\\mbox{x}_{1,2} = x_{1} + x_{2}$$"
       ],
       "output_type": "display_data",
       "text": [
        "x_1_2=x_1+x_2"
       ]
      }
     ],
     "prompt_number": 4
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%texformat %.3e"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 5
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%%tex alpha = pi/3\n",
      "cos(alpha)**2+sin(alpha)**2\n",
      "sin(alpha)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "latex": [
        "$$\\alpha = \\frac{\\pi}{3} = 1.047$$"
       ],
       "output_type": "display_data",
       "text": [
        "alpha = pi/3 = 1.047"
       ]
      },
      {
       "latex": [
        "$$\\cos\\left(\\alpha\\right)^{2} + \\sin\\left(\\alpha\\right)^{2} = 1.000$$"
       ],
       "output_type": "display_data",
       "text": [
        "cos(alpha)**2+sin(alpha)**2 = 1.000"
       ]
      },
      {
       "latex": [
        "$$\\sin\\left(\\alpha\\right) = 8.660 \\cdot 10^{-1} $$"
       ],
       "output_type": "display_data",
       "text": [
        "sin(alpha) = 8.660 \\cdot 10^{-1} "
       ]
      }
     ],
     "prompt_number": 6
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Unit example"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from unum.units import *"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 7
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%texformat %.3f"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 8
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%%texnr t = 3.0*s\n",
      "a = 4.5*(m/s**2)\n",
      "v_0 = 2*(m/s)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "latex": [
        "$$\\mbox{t} = 3.0 \\cdot s$$"
       ],
       "output_type": "display_data",
       "text": [
        "t = 3.0*s"
       ]
      },
      {
       "latex": [
        "$$\\mbox{a} = 4.5 \\cdot \\frac{m}{s^{2}}$$"
       ],
       "output_type": "display_data",
       "text": [
        "a = 4.5*(m/s**2)"
       ]
      },
      {
       "latex": [
        "$$\\mbox{v}_{0} = 2 \\cdot \\frac{m}{s}$$"
       ],
       "output_type": "display_data",
       "text": [
        "v_0 = 2*(m/s)"
       ]
      }
     ],
     "prompt_number": 9
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%tex x = v_0*t+(a*t**2)/2"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "latex": [
        "$$\\mbox{x} = v_{0} \\cdot t + \\frac{a \\cdot t^{2}}{2} = 26.250\\quad \\mbox{m}$$"
       ],
       "output_type": "display_data",
       "text": [
        "x = v_0*t+(a*t**2)/2 = 26.250\\quad \\mbox{m}"
       ]
      }
     ],
     "prompt_number": 10
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 10
    }
   ],
   "metadata": {}
  }
 ]
}