00-first-steps.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "2bf8f536",
   "metadata": {},
   "source": [
    "If your Python and Jupyter installation failed, you can use our cloud solution:\n",
    "https://code.min.uni-hamburg.de/hub/login"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b1d78e78",
   "metadata": {},
   "source": [
    "<h1>Cell Types</h1>\n",
    "Important cell types for us are\n",
    "<ul>\n",
    "    <li>Markdown Cells</li>\n",
    "    <li>Code Cells</li>\n",
    "</ul>\n",
    "\n",
    "In Jupyter, you can select the desired cell type from a dropdown menu. You can run a cell with the shortcut \\[shift\\] + \\[Return\\].\n",
    "\n",
    "## Markdown Cells\n",
    "Markdown cells are formatted text. Use them as (sub)headers to structure your code, and use them for explanations. When you run the cell, you see the formatted text. Otherwise, you see the markdown source code, which is similar to HTML.\n",
    "\n",
    "## Code Cells\n",
    "Code cells contain the main source code for your projects. You can include comments using \\# . But inline comments are not possible."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "e7ea7201",
   "metadata": {},
   "outputs": [],
   "source": [
    "# This is a comment in a code cell"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "23cee8fc",
   "metadata": {},
   "source": [
    "# Short cuts\n",
    "To create a new cell, make a left click on the left hand side of the code block. Then, type \\[b\\] to create a new cell below, or \\[a\\] to create a new cell above. Type \\[d\\]\\[d\\] to delete the selected cell. You can also turn a markdown cell into a code cell by typing \\[m\\], and a markdown cell into a code cell by typing \\[y\\].\n",
    "\n",
    "Start writing a command or variable name and press \\[tab\\]. Python will either auto-complete the name or open a drop-down menu for you to select the desired word."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "845dd950",
   "metadata": {},
   "source": [
    "## Data Types and Most Important commands\n",
    "Python knows several data types natively. Others are defined in libraries. Important for us are:\n",
    "<ul>\n",
    "    <li>string</li>\n",
    "    <li>int</li>\n",
    "    <li>float.</li>\n",
    "</ul>\n",
    "Python also knows many commands natively. Others are defined in libraries, or by you. Important ones are print(), and loops."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "ddff0b1f",
   "metadata": {},
   "outputs": [],
   "source": [
    "schrift = \"Words and Symbols\" #When you run this cell, no output is created, as you just assigned a value to the variable named \"string\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "9d16987b",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Words and Symbols\n"
     ]
    }
   ],
   "source": [
    "print(schrift) # the print command produces an output"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "44de5b71",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "8"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "4+4# operations also produce an output"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "a6e5720c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "10"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "4+4\n",
    "5+5# only the last line produces an output"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "10788eb1",
   "metadata": {},
   "outputs": [],
   "source": [
    "c = 4+4# however, if we want to store the result, we need a variable, so we write an assignment tat produces no output"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "04b9fb6a",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "8\n"
     ]
    }
   ],
   "source": [
    "c = 4+4\n",
    "print(c)# This is what we need print() for"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "0d7c8dff",
   "metadata": {},
   "outputs": [
    {
     "ename": "SyntaxError",
     "evalue": "invalid syntax (1115006432.py, line 1)",
     "output_type": "error",
     "traceback": [
      "\u001b[1;36m  Cell \u001b[1;32mIn [18], line 1\u001b[1;36m\u001b[0m\n\u001b[1;33m    schrift = \"He said: \"Hy there!\"\"# quotation marks start end end the string\u001b[0m\n\u001b[1;37m                         ^\u001b[0m\n\u001b[1;31mSyntaxError\u001b[0m\u001b[1;31m:\u001b[0m invalid syntax\n"
     ]
    }
   ],
   "source": [
    "schrift = \"He said: \"Hy there!\"\"# quotation marks start end end the string"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "a30d7c33",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "He said: \"Hi there!\"\n"
     ]
    }
   ],
   "source": [
    "schrift = 'He said: \"Hi there!\"' # to write double quotes, you can start and end a string using single quotes\n",
    "print(schrift)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "092d1fa9",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "this is \\ \\ cool\n"
     ]
    }
   ],
   "source": [
    "raw=r'this is \\ \\ cool'\n",
    "print(raw)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "6af37328",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "c:\\n\\g\n"
     ]
    }
   ],
   "source": [
    "string=r\"c:\\n\\g\"# some symbols are \"escape sequences\" that have a certain meaning, line \"new line\" \\n\n",
    "print(string)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "55e19ef9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "13"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(string)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "740fec9b",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Z\n",
      "e\n",
      "Zi\n",
      "co\n",
      "code\n",
      "Z's co\n"
     ]
    }
   ],
   "source": [
    "string = \"Ziemer\\'s code\"#this is a string, backslash is an \"escape sequence\"\n",
    "print(string[0])# gives the first symbol from the string\n",
    "print(string[4])# the integer in the square brackets is a pointer to the nth character of the string\n",
    "print(string[0:2])# gives the first 2 symbols from the string, the \"0:2\" means one to (not including) 2 ,like \"lesser than 2\"\n",
    "print(string[-4:-2])# Here, the \"-\" means \"count from the end\".\n",
    "print(string[-4:len(string)])# As \"222\" is larger than the string, the complete rest of the string will be shown\n",
    "newstring=string[0]+string[6:11]\n",
    "print(newstring)# You can recombine strings by addition"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "f232babe",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "h3llo\n"
     ]
    }
   ],
   "source": [
    "word = \"hallo\"# simply redefines the string\n",
    "word = word[0]+str(3)+word[2:len(word)]# combines some of the old word with your new character\n",
    "print(word)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "66d3d23a",
   "metadata": {},
   "source": [
    "The command <it>str()</it> has converted the integer into a string. In the above example, the \"999\" is a dirty trick to ensure that all characters from the word are addressed, since the word \"hallo\" has clearly less than 999 characters. A better way to address all characters is the use of <font color=\"green\">len</font>():"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "4b3786b3",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "h3llo\n"
     ]
    }
   ],
   "source": [
    "word = \"hallo\"\n",
    "word = word[0:1]+str(3)+word[2:len(word)]#len(word) is good practice\n",
    "print(word)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "7aa80130",
   "metadata": {},
   "outputs": [],
   "source": [
    "path=r'Z:\\techno-audio\\germany'# with an \"r\", for \"raw string\", python uses the exact string and ignores escape sequences.\n",
    "# This is idead for file paths."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "id": "a7f7bd4e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "int"
      ]
     },
     "execution_count": 45,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "c=9# python automatically chooses the right data type, like int for integers\n",
    "type(c)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "id": "361042f8",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "4\n",
      "<class 'int'>\n",
      "4.5\n",
      "<class 'float'>\n"
     ]
    }
   ],
   "source": [
    "t=c//2\n",
    "print(t)\n",
    "print(type(t))\n",
    "t=c/2\n",
    "print(t)\n",
    "print(type(t))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "id": "f7ae81d7",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "4\n",
      "4.0\n"
     ]
    }
   ],
   "source": [
    "print(int(4.4))# but you can also force a conversion into an integer\n",
    "print(float(4))# or a float"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "id": "02a7835d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5.0"
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ddd=4.9999999999999999# beware that float precision is finite, too\n",
    "ddd"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2882a950",
   "metadata": {},
   "source": [
    "### for, range, len"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "id": "8d3adfe2",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0\n",
      "1\n",
      "2\n",
      "3\n"
     ]
    }
   ],
   "source": [
    "x=4\n",
    "for n in range(x):# this is a for loop. The indented code after the colon belongs to the loop.\n",
    "    print(n)\n",
    "#range means \"take all integers < x \""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "id": "e20ba1a8",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1\n"
     ]
    }
   ],
   "source": [
    "listing = [1,2,5,4,4] # this is a list, like a vector\n",
    "for i in range(len(listing)):# here, len() is the length of the list\n",
    "    print(listing[i])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 123,
   "id": "bc12abe2",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "-2\n",
      "-1\n",
      "0\n",
      "1\n"
     ]
    }
   ],
   "source": [
    "for i in range(-2,2):# we can also define any other integer to start with\n",
    "    print(i)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 124,
   "id": "de69ed87",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "-2\n",
      "0\n"
     ]
    }
   ],
   "source": [
    "for i in range(-2,2,2):# and we can choose steps sizes other than 1\n",
    "    print(i)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 127,
   "id": "df39f814",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2\n",
      "0\n",
      "-2\n"
     ]
    }
   ],
   "source": [
    "for i in range(2,-3,-2):# we can also count backwards if we choose negative steps\n",
    "    print(i)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "04100b50",
   "metadata": {},
   "source": [
    "### while, if, else, break"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "id": "84874788",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2\n",
      "3\n",
      "4\n",
      "5\n"
     ]
    }
   ],
   "source": [
    "i=2\n",
    "while i < 6:# in contrast to for loops, while loope have no running variable\n",
    "    print(i)\n",
    "    i=i+1# therefore, the terminating condition must be met at any point through calculations inside the wile loop"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "id": "9c7e9433",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "3\n",
      "3\n",
      "3\n",
      "3\n"
     ]
    }
   ],
   "source": [
    "i=3\n",
    "y = 7\n",
    "while i < y:\n",
    "    print(i)\n",
    "    y = y-1 # here, the i stays unchanged, but the y changes, affecting the condition"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "id": "e169b5a7",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "3\n",
      "xxx\n",
      "4\n"
     ]
    }
   ],
   "source": [
    "i = 3\n",
    "while i < 6:\n",
    "    print(i)\n",
    "    if i <= 3:#if the current value of i is smaller than or equal to 3,\n",
    "        i=i+1#it will be increased by 1 \n",
    "    else:# otherwise:\n",
    "        break# break terminates the loop immediately\n",
    "    print(\"xxx\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "10ee8a6d",
   "metadata": {},
   "source": [
    "<h3>Math</h3>\n",
    "Python knows the fundamentals of mathematics:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "id": "2ad4ccfd",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "6\n",
      "0.6666666666666666\n",
      "5\n",
      "-1\n",
      "2.0\n",
      "-6\n",
      "1.2000000000000002\n",
      "(5, 1)\n",
      "9\n",
      "8\n",
      "8\n",
      "1\n",
      "9\n",
      "9\n",
      "3.0\n",
      "25\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "9"
      ]
     },
     "execution_count": 61,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x=2\n",
    "y=3\n",
    "print(x * y)#is a multiplication\n",
    "print(x / y)#is a division\n",
    "print(y + x)#is an addition\n",
    "print(x - y)#is a subtraction\n",
    "print(7.2 // 3)#is an integer division that does not output decimals (i.e., it gives the \"floor\" value of 7.2/3)\n",
    "print(-11//2) # Here, the floor value of -5.5 is -6\n",
    "print(7.2 % 3) # is the modulo function. It is the remainder of 7.2//3 (potentially including little errors)\n",
    "print(divmod(11, 2)) # \n",
    "print(round(9.4))\n",
    "print(2**3)# is 2 to the power of 3\n",
    "print(pow(2, 3))# is also 2 to the power of 3\n",
    "print(0**0) # is defined as 1\n",
    "print(abs(c)) # gives the absolute, valid for integer, float, and complex\n",
    "print(int(abs(c))) # converts a number into an integer (rounding)\n",
    "print(float(3)) # converts integer into a float\n",
    "print((2 + 3) * 5) # python knows the order of operators\n",
    "c.conjugate() # is the conjugate of a complex number"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "07c3cfb4",
   "metadata": {},
   "source": [
    "Some commands, like mathematical operations, require a certain package. You can install it using the command\n",
    "\n",
    "pip intstall\n",
    "\n",
    "like \n",
    "\n",
    "pip install math\n",
    "\n",
    "Once installed, you can import it in any jupyter notebook:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "id": "9c73aca4",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "3.0\n",
      "9\n",
      "10\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "2.0"
      ]
     },
     "execution_count": 62,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import math # you need import math for math.sqrt(), math.floor(), math.ceil()\n",
    "print(math.sqrt(9)) # square root\n",
    "print(math.floor(9.4)) # round down\n",
    "print(math.ceil(9.4)) # round up\n",
    "math.log(4,2)# logarithm of 4 to the base 2"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "84dbb69d",
   "metadata": {},
   "source": [
    "# Arrays\n",
    "Many methods expect numpy arrays to carry out vector- and matrix-operations. In this case, you have to import numpy. Numpy also contains many mathematical operations, like sin, and natural constatns, like pi."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "id": "55094bc5",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np # once installed, you can load every library you like, and give it an acronym or abbreviation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "id": "9d3a5965",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 3,  8],\n",
       "       [ 5, 12]])"
      ]
     },
     "execution_count": 69,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x=np.array([1,2])#is a \"matrix\" with one row and two colums\n",
    "y=np.array([[3,4],[5,6]])#is a matrix with two rows and two colums. Note the extra-brackets.\n",
    "x*y#is an element-wise multiplication: [[1*3,2*4],[1*5,2*6]]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "id": "8ec9c738",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([13, 16])"
      ]
     },
     "execution_count": 70,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.dot(x,y)#is a matrix multiplication. [1*3+2*5,1*4+2*6]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ddc5b09d",
   "metadata": {},
   "source": [
    "# Your own function\n",
    "Often, you define your own function that you want to use over and over. You need to write \"def\" and a function name with brackets (these may contain variables that the function expects), and a colon. Code that belongs to the function is indented. You may return a result."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "id": "825a4d00",
   "metadata": {},
   "outputs": [],
   "source": [
    "sr = 8000#sample rate\n",
    "duration = 1#duration in seconds\n",
    "def signal(freq, sr, dur):#here we define a new function with 3 inputs\n",
    "    sign = (np.sin(2 * np.pi * np.arange(sr * duration) * freq / sr)).astype(np.float32)#!Note the indentation here!\n",
    "    return sign#the function returns one value\n",
    "# defining functions produces no output"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "id": "14fa3484",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ 0.          0.0007854   0.0015708  ... -0.00235619 -0.0015708\n",
      " -0.0007854 ]\n"
     ]
    }
   ],
   "source": [
    "out = signal(1, sr, duration)#here we call the function and store the output in the variable \"out\"\n",
    "print(out)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "id": "051352fd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1"
      ]
     },
     "execution_count": 74,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def two(numerator,denominator):\n",
    "    plussi = numerator + denominator\n",
    "    minussi = numerator - denominator\n",
    "    return plussi, minussi#To return two outputs, separate them by a comma\n",
    "plu, minu = two(3,2)#and assign 2 variables to the function so that the first return is stored in plu and the secont, in minu\n",
    "minu"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "69bfcd93",
   "metadata": {},
   "source": [
    "<h1>Create a Plot</h1>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "id": "320b5e92",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt#pyplot can be used to plot data\n",
    "\n",
    "out2 = signal(-1, sr, duration)#here we call the function again and store the output in the variable \"out2\"\n",
    "fig = plt.figure()#figure is our variable that will soon contain a figure. Right now you can think of it as an empty container.\n",
    "plt.plot(out, color='blue', linestyle='dashed', label='sin')#plots the result\n",
    "#besides 'dashed', you can use 'solid', 'dotted, 'dashdot'\n",
    "plt.plot(out2, color='red', linewidth=7, label='-sin', marker=\"d\")#this plots the result in the same plot\n",
    "plt.grid(True)\n",
    "plt.legend()#places a legend somewhere in the plot\n",
    "plt.xticks(fontsize=12)\n",
    "plt.yticks(fontsize=12)\n",
    "plt.xticks(np.arange(0,sr*duration,1000))#range and interval of x-ticks\n",
    "plt.yticks(np.arange(min(out),max(out)+.1,.2))#range and interval of y-ticks\n",
    "plt.xlabel(\"Time [samples]\", fontsize=16)#add a label for the x-axis\n",
    "plt.ylabel(\"Elongation [mm]\", fontsize=16)#add a label for the y-axis\n",
    "plt.xlim(0, 6000)#crop the plot\n",
    "plt.ylim(-1.01, 1.01);#the last line receives a semicolon to suppress the output"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "id": "ac9d6807",
   "metadata": {},
   "outputs": [],
   "source": [
    "import sounddevice as sd#to play back sounds"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "id": "6278ae07",
   "metadata": {},
   "outputs": [],
   "source": [
    "out3 = signal(300, sr, 2)\n",
    "sd.play(out3, sr)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "75fc146d",
   "metadata": {},
   "source": [
    "An alternative way of the sounddevice library is the IPython library. It includes a small GUI element to play back an array as sound:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "id": "c151a79a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "                <audio  controls=\"controls\" >\n",
       "                    <source 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type=\"audio/wav\" />\n",
       "                    Your browser does not support the audio element.\n",
       "                </audio>\n",
       "              "
      ],
      "text/plain": [
       "<IPython.lib.display.Audio object>"
      ]
     },
     "execution_count": 90,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import IPython.display as ipd#can play audio files with a simple GUI\n",
    "ipd.Audio(out3,rate=sr)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 105,
   "id": "e0411897",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "                <audio  controls=\"controls\" >\n",
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AAMAAQD+//7/AQACAP////8CAP///v8DAAIA/f/9/wEAAwAAAP7/AAACAP///v8DAAEA/P8AAAMAAAD//wAAAAABAAAA/f8BAAQA/v/8/wIABAAAAP3//v8BAAMAAQD9//3/AgAEAP///P8BAAMA/////wEA/////wIAAQD+/wAAAQD//wAAAgAAAP3///8DAAIA/v/+/wEAAQAAAAAA/////wEAAQAAAP//AAACAP///v8CAAEA/f///wQAAQD8/wAAAwAAAP////8AAAEAAAD//wAAAgD///7/AgAAAP//AgD///3/AwACAPz/AAADAP7///8DAP///v8DAAAA/P8BAAMA///+/wEAAgD/////AQAAAP////8BAAIAAAD9////BAABAP3/AAACAP////8CAP7//f8EAAQA/P/8/wUAAwD7////AwD/////AgD///7/AgACAP7///8CAAAA//8BAP///v8CAAMA/v/+/wIAAQD+////AQABAAAA/////wEAAwAAAPv///8FAAEA/P8AAAIA//8AAAEA//8AAAEA/////wEAAgD///z/AQAEAP///v8BAAAAAAACAP///P8BAAQA///+/wEAAAAAAAEAAAD//wAAAQAAAAAAAAD+////BAACAPv//v8GAAIA+v/9/wUAAwD8//7/AwABAP7///8BAAAAAAABAAAA/////wEAAgD+//7/AgABAP7/AAACAAAA/////wEAAwD+//z/AgAEAP7//P8CAAMA/////wAAAAABAAAA/f///wQAAgD8//7/AwACAP///v/+/wEABAD///z/AgADAP3//v8EAAEA+////wUAAgA=\" type=\"audio/wav\" />\n",
       "                    Your browser does not support the audio element.\n",
       "                </audio>\n",
       "              "
      ],
      "text/plain": [
       "<IPython.lib.display.Audio object>"
      ]
     },
     "execution_count": 105,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ipd.Audio(r'C:\\python\\gits\\early-techno\\audio.wav')# you can also play back audio files"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "75d57772",
   "metadata": {},
   "source": [
    "Sound will not work on a cloud (or maybe you just tease the Rechenzentrum)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "06af4acd",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "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": "3.10.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}