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   "source": [
    "# C: Ejercicios extra resueltos (B y C)\n",
    "\n",
    "Estos ejercicios se supone que tiene que resolverlos el alumno. Ni están todos los que deberían ni tienen por que ser muy legibles."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8b1dda5b-9323-4686-b18c-c347597e4aaf",
   "metadata": {},
   "source": [
    "**B.13:**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "3276b8db-a230-4747-a177-450a645771ac",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                                                  \n",
      "                                      *           \n",
      "                                    ****          \n",
      "                                    ****          \n",
      "                                    ****          \n",
      "                                  **   *          \n",
      "                              *  **********       \n",
      "                             ******************   \n",
      "                              *****************   \n",
      "                           * *****************    \n",
      "                            *******************   \n",
      "                          *********************** \n",
      "                           *********************  \n",
      "                 * ***    **********************  \n",
      "                 *******  **********************  \n",
      "                ********* **********************  \n",
      "                ********* **********************  \n",
      "             ** ********* *********************   \n",
      "     *    ************************************    \n",
      "             ** ********* *********************   \n",
      "                ********* **********************  \n",
      "                ********* **********************  \n",
      "                 *******  **********************  \n",
      "                 * ***    **********************  \n",
      "                           *********************  \n",
      "                          *********************** \n",
      "                            *******************   \n",
      "                           * *****************    \n",
      "                              *****************   \n",
      "                             ******************   \n",
      "                              *  **********       \n",
      "                                  **   *          \n",
      "                                    ****          \n",
      "                                    ****          \n",
      "                                    ****          \n",
      "                                      *           \n"
     ]
    }
   ],
   "source": [
    "def is_stable(c, num_iterations):\n",
    "    z = 0\n",
    "\n",
    "    for _ in range(num_iterations):\n",
    "        z = z*z + c\n",
    "\n",
    "    return abs(z) <= 2\n",
    "\n",
    "y = -.9\n",
    "while y <= .9:\n",
    "    x = -2.0\n",
    "    while x <= .5:\n",
    "        if is_stable(complex(x, y) , 100):\n",
    "            print(\"*\", end=\"\")\n",
    "        else:\n",
    "            print(\" \", end=\"\")\n",
    "        x += .05\n",
    "    print(\"\")\n",
    "    y += .05\n",
    "    \n",
    "    \n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4782500d-5088-48f4-8fd3-cbef3ef6afec",
   "metadata": {},
   "source": [
    "**C.3:**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "3829b84a-d2ea-4fa2-b2d6-68dc083f3fd6",
   "metadata": {},
   "outputs": [],
   "source": [
    "def is_stable(c, num_iterations):\n",
    "    z = 0\n",
    "\n",
    "    for _ in range(num_iterations):\n",
    "        z = z * z + c\n",
    "\n",
    "    return abs(z) <= 2\n",
    "\n",
    "filas = []\n",
    "\n",
    "y = -.9\n",
    "while y <= .9:\n",
    "    fila = []\n",
    "    \n",
    "    x = -2.0\n",
    "    while x <= .5:\n",
    "        if is_stable(complex(x, y) , 100):\n",
    "            fila.append(255)\n",
    "        else:\n",
    "            fila.append(0)\n",
    "        x += .005\n",
    "    y += .005\n",
    "    filas.append(fila)\n",
    "    \n",
    "\n",
    "fichero = open(\"salidas/fractal.pgm\", \"wb\")   # El modificador ```b``` especifica que el fichero es binario\n",
    "\n",
    "informacion = f\"P5 {len(filas[0])} {len(filas)} 255 \"\n",
    "\n",
    "b = bytes(informacion, encoding=\"ASCII\")\n",
    "fichero.write(b)\n",
    "\n",
    "for f in filas:\n",
    "    b = bytes(f)\n",
    "    fichero.write(b)\n",
    "\n",
    "fichero.close()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "604fd891-76ff-48a2-988b-f05317464060",
   "metadata": {},
   "source": [
    "**C.4:**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "01e8d1af-08e3-4d56-85ea-e9f12ff0a32a",
   "metadata": {},
   "outputs": [],
   "source": [
    "def test_stable(c, num_iterations):\n",
    "    z = 0\n",
    "\n",
    "    i = 0\n",
    "    \n",
    "    while abs(z) <= 2 and i < num_iterations:\n",
    "        z = z * z + c\n",
    "        i += 1\n",
    "\n",
    "    if abs(z) <= 2:\n",
    "        return 0\n",
    "    else:\n",
    "        return i\n",
    "\n",
    "#print(test_stable(complex(0.1,.5), 254))\n",
    "\n",
    "maxIter = 50\n",
    "\n",
    "filas = []\n",
    "\n",
    "y = -.9001\n",
    "while y <= .9:\n",
    "    fila = []\n",
    "    \n",
    "    x = -2.001\n",
    "    while x <= .5:\n",
    "        fila.append(test_stable(complex(x, y), maxIter))\n",
    "        x += .0025\n",
    "    y += .0025\n",
    "    filas.append(fila)\n",
    "    \n",
    "\n",
    "fichero = open(\"salidas/fractal2.pgm\", \"wb\")   # El modificador ```b``` especifica que el fichero es binario\n",
    "\n",
    "informacion = f\"P5 {len(filas[0])} {len(filas)} {maxIter} \"\n",
    "\n",
    "b = bytes(informacion, encoding=\"ASCII\")\n",
    "fichero.write(b)\n",
    "\n",
    "for f in filas:\n",
    "    b = bytes(f)\n",
    "    fichero.write(b)\n",
    "\n",
    "fichero.close()\n"
   ]
  }
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