tests_maximizacion copy.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<module 'maxim_varios' from 'c:\\\\Users\\\\Manu\\\\OneDrive\\\\Escritorio\\\\UTN\\\\Simulación\\\\TP6\\\\maxim_varios.py'>"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import maxim_varios\n",
    "from importlib import reload\n",
    "reload(maxim_varios)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
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     ]
    },
    {
     "ename": "",
     "evalue": "",
     "output_type": "error",
     "traceback": [
      "\u001b[1;31mThe Kernel crashed while executing code in the current cell or a previous cell. \n",
      "\u001b[1;31mPlease review the code in the cell(s) to identify a possible cause of the failure. \n",
      "\u001b[1;31mClick <a href='https://aka.ms/vscodeJupyterKernelCrash'>here</a> for more info. \n",
      "\u001b[1;31mView Jupyter <a href='command:jupyter.viewOutput'>log</a> for further details."
     ]
    }
   ],
   "source": [
    "maxm = maxim_varios.Maximizacion(2, n_loops=10_000, n_repeticiones=5, alphas=[0.01, 0.0001], hs =[1, 0.1], multiprocesamiento=True)\n",
    "maxm.generar_punto_de_partida()\n",
    "maxm.optimizar()"
   ]
  },
  {
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   "metadata": {},
   "outputs": [
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          ],
          "scatterpolar": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scatterpolar"
           }
          ],
          "scatterpolargl": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scatterpolargl"
           }
          ],
          "scatterternary": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scatterternary"
           }
          ],
          "surface": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
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              0.3333333333333333,
              "#9c179e"
             ],
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              0.4444444444444444,
              "#bd3786"
             ],
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              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "surface"
           }
          ],
          "table": [
           {
            "cells": {
             "fill": {
              "color": "#EBF0F8"
             },
             "line": {
              "color": "white"
             }
            },
            "header": {
             "fill": {
              "color": "#C8D4E3"
             },
             "line": {
              "color": "white"
             }
            },
            "type": "table"
           }
          ]
         },
         "layout": {
          "annotationdefaults": {
           "arrowcolor": "#2a3f5f",
           "arrowhead": 0,
           "arrowwidth": 1
          },
          "autotypenumbers": "strict",
          "coloraxis": {
           "colorbar": {
            "outlinewidth": 0,
            "ticks": ""
           }
          },
          "colorscale": {
           "diverging": [
            [
             0,
             "#8e0152"
            ],
            [
             0.1,
             "#c51b7d"
            ],
            [
             0.2,
             "#de77ae"
            ],
            [
             0.3,
             "#f1b6da"
            ],
            [
             0.4,
             "#fde0ef"
            ],
            [
             0.5,
             "#f7f7f7"
            ],
            [
             0.6,
             "#e6f5d0"
            ],
            [
             0.7,
             "#b8e186"
            ],
            [
             0.8,
             "#7fbc41"
            ],
            [
             0.9,
             "#4d9221"
            ],
            [
             1,
             "#276419"
            ]
           ],
           "sequential": [
            [
             0,
             "#0d0887"
            ],
            [
             0.1111111111111111,
             "#46039f"
            ],
            [
             0.2222222222222222,
             "#7201a8"
            ],
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             "#9c179e"
            ],
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             "#bd3786"
            ],
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             "#d8576b"
            ],
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             "#ed7953"
            ],
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             "#fb9f3a"
            ],
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             "#fdca26"
            ],
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            ]
           ],
           "sequentialminus": [
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             0,
             "#0d0887"
            ],
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             "#46039f"
            ],
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             "#7201a8"
            ],
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             "#9c179e"
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             "#bd3786"
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             "#d8576b"
            ],
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            ],
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            ],
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             "#fdca26"
            ],
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             1,
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            ]
           ]
          },
          "colorway": [
           "#636efa",
           "#EF553B",
           "#00cc96",
           "#ab63fa",
           "#FFA15A",
           "#19d3f3",
           "#FF6692",
           "#B6E880",
           "#FF97FF",
           "#FECB52"
          ],
          "font": {
           "color": "#2a3f5f"
          },
          "geo": {
           "bgcolor": "white",
           "lakecolor": "white",
           "landcolor": "#E5ECF6",
           "showlakes": true,
           "showland": true,
           "subunitcolor": "white"
          },
          "hoverlabel": {
           "align": "left"
          },
          "hovermode": "closest",
          "mapbox": {
           "style": "light"
          },
          "paper_bgcolor": "white",
          "plot_bgcolor": "#E5ECF6",
          "polar": {
           "angularaxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           },
           "bgcolor": "#E5ECF6",
           "radialaxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           }
          },
          "scene": {
           "xaxis": {
            "backgroundcolor": "#E5ECF6",
            "gridcolor": "white",
            "gridwidth": 2,
            "linecolor": "white",
            "showbackground": true,
            "ticks": "",
            "zerolinecolor": "white"
           },
           "yaxis": {
            "backgroundcolor": "#E5ECF6",
            "gridcolor": "white",
            "gridwidth": 2,
            "linecolor": "white",
            "showbackground": true,
            "ticks": "",
            "zerolinecolor": "white"
           },
           "zaxis": {
            "backgroundcolor": "#E5ECF6",
            "gridcolor": "white",
            "gridwidth": 2,
            "linecolor": "white",
            "showbackground": true,
            "ticks": "",
            "zerolinecolor": "white"
           }
          },
          "shapedefaults": {
           "line": {
            "color": "#2a3f5f"
           }
          },
          "ternary": {
           "aaxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           },
           "baxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           },
           "bgcolor": "#E5ECF6",
           "caxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           }
          },
          "title": {
           "x": 0.05
          },
          "xaxis": {
           "automargin": true,
           "gridcolor": "white",
           "linecolor": "white",
           "ticks": "",
           "title": {
            "standoff": 15
           },
           "zerolinecolor": "white",
           "zerolinewidth": 2
          },
          "yaxis": {
           "automargin": true,
           "gridcolor": "white",
           "linecolor": "white",
           "ticks": "",
           "title": {
            "standoff": 15
           },
           "zerolinecolor": "white",
           "zerolinewidth": 2
          }
         }
        }
       }
      }
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import plotly.graph_objs as go\n",
    "from math import floor\n",
    "\n",
    "# Example list of tuples (x, y, z)\n",
    "#data = [max.tracking[floor(len(max.tracking)/10)*i-1] for i in range(10)]\n",
    "data = maxm.tracking\n",
    "\n",
    "# Extracting x, y, z coordinates from the list of tuples\n",
    "\n",
    "# Extracting x, y, z coordinates from the list of tuples\n",
    "x = [point[0] for point in data]\n",
    "y = [point[1] for point in data]\n",
    "z = [point[2] for point in data]\n",
    "\n",
    "# Create trace for the curve\n",
    "trace_curve = go.Scatter3d(\n",
    "    x=x,\n",
    "    y=y,\n",
    "    z=z,\n",
    "    mode='lines',\n",
    "    line=dict(color='blue', width=3),\n",
    "    name='Curve'\n",
    ")\n",
    "\n",
    "# Create traces for the directional arrows\n",
    "arrows = []\n",
    "for i in range(len(x)-1):\n",
    "    arrow = go.Cone(\n",
    "        x=[x[i+1]],\n",
    "        y=[y[i+1]],\n",
    "        z=[z[i+1]],\n",
    "        u=[x[i+1]-x[i]],\n",
    "        v=[y[i+1]-y[i]],\n",
    "        w=[z[i+1]-z[i]],\n",
    "        sizemode='absolute',\n",
    "        sizeref=0.25,\n",
    "        showscale=False,\n",
    "        colorscale='Reds',\n",
    "        opacity=0.5,\n",
    "        name='Arrow '+str(i+1)\n",
    "    )\n",
    "    arrows.append(arrow)\n",
    "\n",
    "# Create layout\n",
    "layout = go.Layout(\n",
    "    scene=dict(\n",
    "        aspectmode=\"cube\",\n",
    "        xaxis=dict(title='X'),\n",
    "        yaxis=dict(title='Y'),\n",
    "        zaxis=dict(title='Z')\n",
    "    )\n",
    ")\n",
    "\n",
    "# Create figure\n",
    "fig = go.Figure(data=[trace_curve] + arrows, layout=layout)\n",
    "\n",
    "# Show plot\n",
    "fig.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# Assuming you have a list of tuples containing (b, m, z)\n",
    "data = maxm.tracking\n",
    "# Find the tuple with the maximum z value\n",
    "max_tuple = max(data, key=lambda x: x[2])\n",
    "b_max, m_max, z_max = max_tuple\n",
    "\n",
    "# Define the function b + m * log(x+1)\n",
    "def function(x, b, m):\n",
    "    return b + m * np.log(x + 1)\n",
    "\n",
    "f = lambda x: function(x, b_max, m_max)\n",
    "\n",
    "# Generate x values\n",
    "x_values = np.linspace(0, 40, 1000)\n",
    "\n",
    "# Generate y values using the function with the maximum b and m\n",
    "y_values = function(x_values, b_max, m_max)\n",
    "\n",
    "# Plot the function\n",
    "plt.plot(x_values, y_values, label='b + m * log(x + 1)')\n",
    "\n",
    "# Shade the area above the curve\n",
    "plt.fill_between(x_values, y_values, max(y_values), color='green', alpha=0.3, where=(x_values >0)&(x_values<40))\n",
    "\n",
    "# Shade the area below the curve\n",
    "plt.fill_between(x_values, y_values, min(y_values), color='red', alpha=0.3, where=(x_values >0)&(x_values<40))\n",
    "\n",
    "# Label the areas\n",
    "plt.text(10, max(y_values) -0.5, 'ACEPTA', horizontalalignment='center', fontsize=12, color='green')\n",
    "plt.text(20, min(y_values)+1, 'NO ACEPTA', horizontalalignment='center', fontsize=12, color='red')\n",
    "\n",
    "# Add legend\n",
    "plt.legend()\n",
    "\n",
    "# Add labels and title\n",
    "plt.xlabel('Horas Ocupadas')\n",
    "plt.ylabel('Monto')\n",
    "plt.title('Function b + m * log(x + 1)')\n",
    "\n",
    "# Show plot\n",
    "plt.grid(True)\n",
    "plt.show()\n"
   ]
  }
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