synthetics.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "f26a30d8-2425-4506-b160-dbe9b3c5faec",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Requirement already satisfied: verde in c:\\users\\laisr\\miniforge3\\lib\\site-packages (1.8.0)\n",
      "Requirement already satisfied: harmonica in c:\\users\\laisr\\miniforge3\\lib\\site-packages (0.6.0)\n",
      "Requirement already satisfied: pandas in c:\\users\\laisr\\miniforge3\\lib\\site-packages (2.2.2)\n",
      "Requirement already satisfied: matplotlib in c:\\users\\laisr\\miniforge3\\lib\\site-packages (3.9.0)\n",
      "Requirement already satisfied: numpy>=1.19 in c:\\users\\laisr\\miniforge3\\lib\\site-packages (from verde) (1.26.4)\n",
      "Requirement already satisfied: scipy>=1.5 in c:\\users\\laisr\\miniforge3\\lib\\site-packages (from verde) (1.13.1)\n",
      "Requirement already satisfied: xarray>=0.16 in c:\\users\\laisr\\miniforge3\\lib\\site-packages (from verde) (2024.5.0)\n",
      "Requirement already satisfied: scikit-learn>=0.24 in c:\\users\\laisr\\miniforge3\\lib\\site-packages (from verde) (1.5.0)\n",
      "Requirement already satisfied: pooch>=1.2 in c:\\users\\laisr\\miniforge3\\lib\\site-packages (from verde) (1.8.2)\n",
      "Requirement already satisfied: dask>=2021.05.0 in c:\\users\\laisr\\miniforge3\\lib\\site-packages (from verde) (2024.5.2)\n",
      "Requirement already satisfied: numba>=0.52 in c:\\users\\laisr\\miniforge3\\lib\\site-packages (from harmonica) (0.59.1)\n",
      "Requirement already satisfied: xrft>=1.0 in c:\\users\\laisr\\miniforge3\\lib\\site-packages (from harmonica) (1.0.1)\n",
      "Requirement already satisfied: python-dateutil>=2.8.2 in c:\\users\\laisr\\miniforge3\\lib\\site-packages (from pandas) (2.9.0)\n",
      "Requirement already satisfied: pytz>=2020.1 in c:\\users\\laisr\\miniforge3\\lib\\site-packages (from pandas) (2024.1)\n",
      "Requirement already satisfied: tzdata>=2022.7 in c:\\users\\laisr\\miniforge3\\lib\\site-packages (from pandas) (2024.1)\n",
      "Requirement already satisfied: contourpy>=1.0.1 in c:\\users\\laisr\\miniforge3\\lib\\site-packages (from matplotlib) (1.2.1)\n",
      "Requirement already satisfied: cycler>=0.10 in c:\\users\\laisr\\miniforge3\\lib\\site-packages (from matplotlib) (0.12.1)\n",
      "Requirement already satisfied: fonttools>=4.22.0 in c:\\users\\laisr\\miniforge3\\lib\\site-packages (from matplotlib) (4.53.0)\n",
      "Requirement already satisfied: kiwisolver>=1.3.1 in c:\\users\\laisr\\miniforge3\\lib\\site-packages (from matplotlib) (1.4.5)\n",
      "Requirement already satisfied: packaging>=20.0 in c:\\users\\laisr\\miniforge3\\lib\\site-packages (from matplotlib) (24.0)\n",
      "Requirement already satisfied: pillow>=8 in c:\\users\\laisr\\miniforge3\\lib\\site-packages (from matplotlib) (10.3.0)\n",
      "Requirement already satisfied: pyparsing>=2.3.1 in c:\\users\\laisr\\miniforge3\\lib\\site-packages (from matplotlib) (3.1.2)\n",
      "Requirement already satisfied: click>=8.1 in c:\\users\\laisr\\miniforge3\\lib\\site-packages (from dask>=2021.05.0->verde) (8.1.7)\n",
      "Requirement already satisfied: cloudpickle>=1.5.0 in c:\\users\\laisr\\miniforge3\\lib\\site-packages (from dask>=2021.05.0->verde) (3.0.0)\n",
      "Requirement already satisfied: fsspec>=2021.09.0 in c:\\users\\laisr\\miniforge3\\lib\\site-packages (from dask>=2021.05.0->verde) (2024.6.0)\n",
      "Requirement already satisfied: partd>=1.2.0 in c:\\users\\laisr\\miniforge3\\lib\\site-packages (from dask>=2021.05.0->verde) (1.4.2)\n",
      "Requirement already satisfied: pyyaml>=5.3.1 in c:\\users\\laisr\\miniforge3\\lib\\site-packages (from dask>=2021.05.0->verde) (6.0.1)\n",
      "Requirement already satisfied: toolz>=0.10.0 in c:\\users\\laisr\\miniforge3\\lib\\site-packages (from dask>=2021.05.0->verde) (0.12.1)\n",
      "Requirement already satisfied: importlib-metadata>=4.13.0 in c:\\users\\laisr\\miniforge3\\lib\\site-packages (from dask>=2021.05.0->verde) (7.1.0)\n",
      "Requirement already satisfied: llvmlite<0.43,>=0.42.0dev0 in c:\\users\\laisr\\miniforge3\\lib\\site-packages (from numba>=0.52->harmonica) (0.42.0)\n",
      "Requirement already satisfied: platformdirs>=2.5.0 in c:\\users\\laisr\\miniforge3\\lib\\site-packages (from pooch>=1.2->verde) (4.2.0)\n",
      "Requirement already satisfied: requests>=2.19.0 in c:\\users\\laisr\\miniforge3\\lib\\site-packages (from pooch>=1.2->verde) (2.31.0)\n",
      "Requirement already satisfied: six>=1.5 in c:\\users\\laisr\\miniforge3\\lib\\site-packages (from python-dateutil>=2.8.2->pandas) (1.16.0)\n",
      "Requirement already satisfied: joblib>=1.2.0 in c:\\users\\laisr\\miniforge3\\lib\\site-packages (from scikit-learn>=0.24->verde) (1.4.2)\n",
      "Requirement already satisfied: threadpoolctl>=3.1.0 in c:\\users\\laisr\\miniforge3\\lib\\site-packages (from scikit-learn>=0.24->verde) (3.5.0)\n",
      "Requirement already satisfied: colorama in c:\\users\\laisr\\miniforge3\\lib\\site-packages (from click>=8.1->dask>=2021.05.0->verde) (0.4.6)\n",
      "Requirement already satisfied: zipp>=0.5 in c:\\users\\laisr\\miniforge3\\lib\\site-packages (from importlib-metadata>=4.13.0->dask>=2021.05.0->verde) (3.17.0)\n",
      "Requirement already satisfied: locket in c:\\users\\laisr\\miniforge3\\lib\\site-packages (from partd>=1.2.0->dask>=2021.05.0->verde) (1.0.0)\n",
      "Requirement already satisfied: charset-normalizer<4,>=2 in c:\\users\\laisr\\miniforge3\\lib\\site-packages (from requests>=2.19.0->pooch>=1.2->verde) (3.3.2)\n",
      "Requirement already satisfied: idna<4,>=2.5 in c:\\users\\laisr\\miniforge3\\lib\\site-packages (from requests>=2.19.0->pooch>=1.2->verde) (3.6)\n",
      "Requirement already satisfied: urllib3<3,>=1.21.1 in c:\\users\\laisr\\miniforge3\\lib\\site-packages (from requests>=2.19.0->pooch>=1.2->verde) (2.2.1)\n",
      "Requirement already satisfied: certifi>=2017.4.17 in c:\\users\\laisr\\miniforge3\\lib\\site-packages (from requests>=2.19.0->pooch>=1.2->verde) (2024.2.2)\n"
     ]
    }
   ],
   "source": [
    "! pip install verde harmonica pandas matplotlib"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "2a0d17fb-834f-49d6-a9cd-849f1306b7b1",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import harmonica as hm\n",
    "import verde as vd\n",
    "import pandas as pd\n",
    "import warnings"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "6cb7d755-d7f3-4d07-8016-346acf3f9724",
   "metadata": {},
   "outputs": [],
   "source": [
    "warnings.filterwarnings('ignore')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "4f3610b6-845f-4709-b8a5-bd0015a41dc5",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Pra um determinado tamanho de bloco, calcular quantos blocos tem na area\n",
    "# A partir disso definir o n_splits"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6379e8be-6077-4b1b-9701-6155f022c71f",
   "metadata": {},
   "source": [
    "# Levantamento aleatório"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "a844bd50-14ce-48f5-87a2-81ae91031afd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x26327eb5b70>]"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Gerando a malha do levantamento com pontos aleatórios\n",
    "\n",
    "region = [0, 100e3, 0, 90e3]\n",
    "coordinates = vd.scatter_points(region, size=1000, extra_coords=1000, random_state=123)\n",
    "\n",
    "plt.plot(coordinates[0], coordinates[1], \".k\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "8d4b1705-511b-4377-a1ba-fa7a282c00a7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.colorbar.Colorbar at 0x26327f2f580>"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Gerando os prismas, com suas densidades, e calculando o efeito gravitacional deles\n",
    "\n",
    "prismas = [\n",
    "    [10e3, 15e3, 20e3, 35e3, -1e3,  0],\n",
    "    [60e3, 80e3, 50e3, 70e3, -2e3,  -0.5e3],\n",
    "]\n",
    "densidades = [500, -300]\n",
    "gz = hm.prism_gravity(coordinates, prismas, densidades, field=\"g_z\")\n",
    "\n",
    "plt.scatter(coordinates[0], coordinates[1], s=5, c=gz)\n",
    "plt.colorbar()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "271d5bd1-4462-4661-96c5-2ac7ea944e0c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style>#sk-container-id-2 {\n",
       "  /* Definition of color scheme common for light and dark mode */\n",
       "  --sklearn-color-text: black;\n",
       "  --sklearn-color-line: gray;\n",
       "  /* Definition of color scheme for unfitted estimators */\n",
       "  --sklearn-color-unfitted-level-0: #fff5e6;\n",
       "  --sklearn-color-unfitted-level-1: #f6e4d2;\n",
       "  --sklearn-color-unfitted-level-2: #ffe0b3;\n",
       "  --sklearn-color-unfitted-level-3: chocolate;\n",
       "  /* Definition of color scheme for fitted estimators */\n",
       "  --sklearn-color-fitted-level-0: #f0f8ff;\n",
       "  --sklearn-color-fitted-level-1: #d4ebff;\n",
       "  --sklearn-color-fitted-level-2: #b3dbfd;\n",
       "  --sklearn-color-fitted-level-3: cornflowerblue;\n",
       "\n",
       "  /* Specific color for light theme */\n",
       "  --sklearn-color-text-on-default-background: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, black)));\n",
       "  --sklearn-color-background: var(--sg-background-color, var(--theme-background, var(--jp-layout-color0, white)));\n",
       "  --sklearn-color-border-box: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, black)));\n",
       "  --sklearn-color-icon: #696969;\n",
       "\n",
       "  @media (prefers-color-scheme: dark) {\n",
       "    /* Redefinition of color scheme for dark theme */\n",
       "    --sklearn-color-text-on-default-background: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, white)));\n",
       "    --sklearn-color-background: var(--sg-background-color, var(--theme-background, var(--jp-layout-color0, #111)));\n",
       "    --sklearn-color-border-box: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, white)));\n",
       "    --sklearn-color-icon: #878787;\n",
       "  }\n",
       "}\n",
       "\n",
       "#sk-container-id-2 {\n",
       "  color: var(--sklearn-color-text);\n",
       "}\n",
       "\n",
       "#sk-container-id-2 pre {\n",
       "  padding: 0;\n",
       "}\n",
       "\n",
       "#sk-container-id-2 input.sk-hidden--visually {\n",
       "  border: 0;\n",
       "  clip: rect(1px 1px 1px 1px);\n",
       "  clip: rect(1px, 1px, 1px, 1px);\n",
       "  height: 1px;\n",
       "  margin: -1px;\n",
       "  overflow: hidden;\n",
       "  padding: 0;\n",
       "  position: absolute;\n",
       "  width: 1px;\n",
       "}\n",
       "\n",
       "#sk-container-id-2 div.sk-dashed-wrapped {\n",
       "  border: 1px dashed var(--sklearn-color-line);\n",
       "  margin: 0 0.4em 0.5em 0.4em;\n",
       "  box-sizing: border-box;\n",
       "  padding-bottom: 0.4em;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "}\n",
       "\n",
       "#sk-container-id-2 div.sk-container {\n",
       "  /* jupyter's `normalize.less` sets `[hidden] { display: none; }`\n",
       "     but bootstrap.min.css set `[hidden] { display: none !important; }`\n",
       "     so we also need the `!important` here to be able to override the\n",
       "     default hidden behavior on the sphinx rendered scikit-learn.org.\n",
       "     See: https://github.com/scikit-learn/scikit-learn/issues/21755 */\n",
       "  display: inline-block !important;\n",
       "  position: relative;\n",
       "}\n",
       "\n",
       "#sk-container-id-2 div.sk-text-repr-fallback {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       "div.sk-parallel-item,\n",
       "div.sk-serial,\n",
       "div.sk-item {\n",
       "  /* draw centered vertical line to link estimators */\n",
       "  background-image: linear-gradient(var(--sklearn-color-text-on-default-background), var(--sklearn-color-text-on-default-background));\n",
       "  background-size: 2px 100%;\n",
       "  background-repeat: no-repeat;\n",
       "  background-position: center center;\n",
       "}\n",
       "\n",
       "/* Parallel-specific style estimator block */\n",
       "\n",
       "#sk-container-id-2 div.sk-parallel-item::after {\n",
       "  content: \"\";\n",
       "  width: 100%;\n",
       "  border-bottom: 2px solid var(--sklearn-color-text-on-default-background);\n",
       "  flex-grow: 1;\n",
       "}\n",
       "\n",
       "#sk-container-id-2 div.sk-parallel {\n",
       "  display: flex;\n",
       "  align-items: stretch;\n",
       "  justify-content: center;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "  position: relative;\n",
       "}\n",
       "\n",
       "#sk-container-id-2 div.sk-parallel-item {\n",
       "  display: flex;\n",
       "  flex-direction: column;\n",
       "}\n",
       "\n",
       "#sk-container-id-2 div.sk-parallel-item:first-child::after {\n",
       "  align-self: flex-end;\n",
       "  width: 50%;\n",
       "}\n",
       "\n",
       "#sk-container-id-2 div.sk-parallel-item:last-child::after {\n",
       "  align-self: flex-start;\n",
       "  width: 50%;\n",
       "}\n",
       "\n",
       "#sk-container-id-2 div.sk-parallel-item:only-child::after {\n",
       "  width: 0;\n",
       "}\n",
       "\n",
       "/* Serial-specific style estimator block */\n",
       "\n",
       "#sk-container-id-2 div.sk-serial {\n",
       "  display: flex;\n",
       "  flex-direction: column;\n",
       "  align-items: center;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "  padding-right: 1em;\n",
       "  padding-left: 1em;\n",
       "}\n",
       "\n",
       "\n",
       "/* Toggleable style: style used for estimator/Pipeline/ColumnTransformer box that is\n",
       "clickable and can be expanded/collapsed.\n",
       "- Pipeline and ColumnTransformer use this feature and define the default style\n",
       "- Estimators will overwrite some part of the style using the `sk-estimator` class\n",
       "*/\n",
       "\n",
       "/* Pipeline and ColumnTransformer style (default) */\n",
       "\n",
       "#sk-container-id-2 div.sk-toggleable {\n",
       "  /* Default theme specific background. It is overwritten whether we have a\n",
       "  specific estimator or a Pipeline/ColumnTransformer */\n",
       "  background-color: var(--sklearn-color-background);\n",
       "}\n",
       "\n",
       "/* Toggleable label */\n",
       "#sk-container-id-2 label.sk-toggleable__label {\n",
       "  cursor: pointer;\n",
       "  display: block;\n",
       "  width: 100%;\n",
       "  margin-bottom: 0;\n",
       "  padding: 0.5em;\n",
       "  box-sizing: border-box;\n",
       "  text-align: center;\n",
       "}\n",
       "\n",
       "#sk-container-id-2 label.sk-toggleable__label-arrow:before {\n",
       "  /* Arrow on the left of the label */\n",
       "  content: \"▸\";\n",
       "  float: left;\n",
       "  margin-right: 0.25em;\n",
       "  color: var(--sklearn-color-icon);\n",
       "}\n",
       "\n",
       "#sk-container-id-2 label.sk-toggleable__label-arrow:hover:before {\n",
       "  color: var(--sklearn-color-text);\n",
       "}\n",
       "\n",
       "/* Toggleable content - dropdown */\n",
       "\n",
       "#sk-container-id-2 div.sk-toggleable__content {\n",
       "  max-height: 0;\n",
       "  max-width: 0;\n",
       "  overflow: hidden;\n",
       "  text-align: left;\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-2 div.sk-toggleable__content.fitted {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-2 div.sk-toggleable__content pre {\n",
       "  margin: 0.2em;\n",
       "  border-radius: 0.25em;\n",
       "  color: var(--sklearn-color-text);\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-2 div.sk-toggleable__content.fitted pre {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-2 input.sk-toggleable__control:checked~div.sk-toggleable__content {\n",
       "  /* Expand drop-down */\n",
       "  max-height: 200px;\n",
       "  max-width: 100%;\n",
       "  overflow: auto;\n",
       "}\n",
       "\n",
       "#sk-container-id-2 input.sk-toggleable__control:checked~label.sk-toggleable__label-arrow:before {\n",
       "  content: \"▾\";\n",
       "}\n",
       "\n",
       "/* Pipeline/ColumnTransformer-specific style */\n",
       "\n",
       "#sk-container-id-2 div.sk-label input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
       "  color: var(--sklearn-color-text);\n",
       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
       "}\n",
       "\n",
       "#sk-container-id-2 div.sk-label.fitted input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
       "  background-color: var(--sklearn-color-fitted-level-2);\n",
       "}\n",
       "\n",
       "/* Estimator-specific style */\n",
       "\n",
       "/* Colorize estimator box */\n",
       "#sk-container-id-2 div.sk-estimator input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
       "}\n",
       "\n",
       "#sk-container-id-2 div.sk-estimator.fitted input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-2);\n",
       "}\n",
       "\n",
       "#sk-container-id-2 div.sk-label label.sk-toggleable__label,\n",
       "#sk-container-id-2 div.sk-label label {\n",
       "  /* The background is the default theme color */\n",
       "  color: var(--sklearn-color-text-on-default-background);\n",
       "}\n",
       "\n",
       "/* On hover, darken the color of the background */\n",
       "#sk-container-id-2 div.sk-label:hover label.sk-toggleable__label {\n",
       "  color: var(--sklearn-color-text);\n",
       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
       "}\n",
       "\n",
       "/* Label box, darken color on hover, fitted */\n",
       "#sk-container-id-2 div.sk-label.fitted:hover label.sk-toggleable__label.fitted {\n",
       "  color: var(--sklearn-color-text);\n",
       "  background-color: var(--sklearn-color-fitted-level-2);\n",
       "}\n",
       "\n",
       "/* Estimator label */\n",
       "\n",
       "#sk-container-id-2 div.sk-label label {\n",
       "  font-family: monospace;\n",
       "  font-weight: bold;\n",
       "  display: inline-block;\n",
       "  line-height: 1.2em;\n",
       "}\n",
       "\n",
       "#sk-container-id-2 div.sk-label-container {\n",
       "  text-align: center;\n",
       "}\n",
       "\n",
       "/* Estimator-specific */\n",
       "#sk-container-id-2 div.sk-estimator {\n",
       "  font-family: monospace;\n",
       "  border: 1px dotted var(--sklearn-color-border-box);\n",
       "  border-radius: 0.25em;\n",
       "  box-sizing: border-box;\n",
       "  margin-bottom: 0.5em;\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-2 div.sk-estimator.fitted {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-0);\n",
       "}\n",
       "\n",
       "/* on hover */\n",
       "#sk-container-id-2 div.sk-estimator:hover {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
       "}\n",
       "\n",
       "#sk-container-id-2 div.sk-estimator.fitted:hover {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-2);\n",
       "}\n",
       "\n",
       "/* Specification for estimator info (e.g. \"i\" and \"?\") */\n",
       "\n",
       "/* Common style for \"i\" and \"?\" */\n",
       "\n",
       ".sk-estimator-doc-link,\n",
       "a:link.sk-estimator-doc-link,\n",
       "a:visited.sk-estimator-doc-link {\n",
       "  float: right;\n",
       "  font-size: smaller;\n",
       "  line-height: 1em;\n",
       "  font-family: monospace;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "  border-radius: 1em;\n",
       "  height: 1em;\n",
       "  width: 1em;\n",
       "  text-decoration: none !important;\n",
       "  margin-left: 1ex;\n",
       "  /* unfitted */\n",
       "  border: var(--sklearn-color-unfitted-level-1) 1pt solid;\n",
       "  color: var(--sklearn-color-unfitted-level-1);\n",
       "}\n",
       "\n",
       ".sk-estimator-doc-link.fitted,\n",
       "a:link.sk-estimator-doc-link.fitted,\n",
       "a:visited.sk-estimator-doc-link.fitted {\n",
       "  /* fitted */\n",
       "  border: var(--sklearn-color-fitted-level-1) 1pt solid;\n",
       "  color: var(--sklearn-color-fitted-level-1);\n",
       "}\n",
       "\n",
       "/* On hover */\n",
       "div.sk-estimator:hover .sk-estimator-doc-link:hover,\n",
       ".sk-estimator-doc-link:hover,\n",
       "div.sk-label-container:hover .sk-estimator-doc-link:hover,\n",
       ".sk-estimator-doc-link:hover {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-3);\n",
       "  color: var(--sklearn-color-background);\n",
       "  text-decoration: none;\n",
       "}\n",
       "\n",
       "div.sk-estimator.fitted:hover .sk-estimator-doc-link.fitted:hover,\n",
       ".sk-estimator-doc-link.fitted:hover,\n",
       "div.sk-label-container:hover .sk-estimator-doc-link.fitted:hover,\n",
       ".sk-estimator-doc-link.fitted:hover {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-3);\n",
       "  color: var(--sklearn-color-background);\n",
       "  text-decoration: none;\n",
       "}\n",
       "\n",
       "/* Span, style for the box shown on hovering the info icon */\n",
       ".sk-estimator-doc-link span {\n",
       "  display: none;\n",
       "  z-index: 9999;\n",
       "  position: relative;\n",
       "  font-weight: normal;\n",
       "  right: .2ex;\n",
       "  padding: .5ex;\n",
       "  margin: .5ex;\n",
       "  width: min-content;\n",
       "  min-width: 20ex;\n",
       "  max-width: 50ex;\n",
       "  color: var(--sklearn-color-text);\n",
       "  box-shadow: 2pt 2pt 4pt #999;\n",
       "  /* unfitted */\n",
       "  background: var(--sklearn-color-unfitted-level-0);\n",
       "  border: .5pt solid var(--sklearn-color-unfitted-level-3);\n",
       "}\n",
       "\n",
       ".sk-estimator-doc-link.fitted span {\n",
       "  /* fitted */\n",
       "  background: var(--sklearn-color-fitted-level-0);\n",
       "  border: var(--sklearn-color-fitted-level-3);\n",
       "}\n",
       "\n",
       ".sk-estimator-doc-link:hover span {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       "/* \"?\"-specific style due to the `<a>` HTML tag */\n",
       "\n",
       "#sk-container-id-2 a.estimator_doc_link {\n",
       "  float: right;\n",
       "  font-size: 1rem;\n",
       "  line-height: 1em;\n",
       "  font-family: monospace;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "  border-radius: 1rem;\n",
       "  height: 1rem;\n",
       "  width: 1rem;\n",
       "  text-decoration: none;\n",
       "  /* unfitted */\n",
       "  color: var(--sklearn-color-unfitted-level-1);\n",
       "  border: var(--sklearn-color-unfitted-level-1) 1pt solid;\n",
       "}\n",
       "\n",
       "#sk-container-id-2 a.estimator_doc_link.fitted {\n",
       "  /* fitted */\n",
       "  border: var(--sklearn-color-fitted-level-1) 1pt solid;\n",
       "  color: var(--sklearn-color-fitted-level-1);\n",
       "}\n",
       "\n",
       "/* On hover */\n",
       "#sk-container-id-2 a.estimator_doc_link:hover {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-3);\n",
       "  color: var(--sklearn-color-background);\n",
       "  text-decoration: none;\n",
       "}\n",
       "\n",
       "#sk-container-id-2 a.estimator_doc_link.fitted:hover {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-3);\n",
       "}\n",
       "</style><div id=\"sk-container-id-2\" class=\"sk-top-container\"><div class=\"sk-text-repr-fallback\"><pre>EquivalentSourcesGB(damping=1, depth=1000.0)</pre><b>In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. <br />On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.</b></div><div class=\"sk-container\" hidden><div class=\"sk-item\"><div class=\"sk-estimator fitted sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-2\" type=\"checkbox\" checked><label for=\"sk-estimator-id-2\" class=\"sk-toggleable__label fitted sk-toggleable__label-arrow fitted\">&nbsp;EquivalentSourcesGB<span class=\"sk-estimator-doc-link fitted\">i<span>Fitted</span></span></label><div class=\"sk-toggleable__content fitted\"><pre>EquivalentSourcesGB(damping=1, depth=1000.0)</pre></div> </div></div></div></div>"
      ],
      "text/plain": [
       "EquivalentSourcesGB(damping=1, depth=1000.0)"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Ajustando um modelo de fontes de equivalentes com damping=1 a uma profundidade de 1000m\n",
    "\n",
    "fontes = hm.EquivalentSourcesGB(damping=1,depth=1e3)\n",
    "altura = np.zeros(1000)\n",
    "fontes.fit([coordinates[0],coordinates[1],altura],data=gz) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "da9573ef-d345-4ddd-979f-ed0f82d3b751",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.QuadMesh at 0x2632811c7f0>"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Gerando a malha das fontes equivalentes\n",
    "\n",
    "grid_coords_eq = vd.grid_coordinates(region,spacing=1e3,extra_coords=1000)\n",
    "gz_grid_eq = fontes.grid(grid_coords_eq,data_names=\"g_z\")\n",
    "gz_grid_eq.g_z.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "5a34acaf-5d46-4102-8681-df1f42d23836",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.QuadMesh at 0x263281ee680>"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Gerando uma malha regular equivalente ao levantamento aleatório. \n",
    "# Quero calcular a diferença entre o levantamento aleatório e a malha regular das fontes equivalentes. \n",
    "# Como a malha das fontes equivalentes é uma malha regular, preciso que a malha do levantamento também seja regular para que a conta seja feita.\n",
    "\n",
    "grid_coords = vd.grid_coordinates(region, spacing=1e3, extra_coords=1000)\n",
    "gz_grid = hm.prism_gravity(grid_coords, prismas, densidades, field=\"g_z\")\n",
    "grid_true = vd.make_xarray_grid(grid_coords, gz_grid, data_names=\"g_z\", extra_coords_names=\"upward\")\n",
    "grid_true.g_z.plot()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "e4739c28-03c3-47b0-b93c-66a02e683c28",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.QuadMesh at 0x2632632ad40>"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# A diferença calculada abaixo representa o R_2 verdadeiro.\n",
    "\n",
    "residuo = grid_true - gz_grid_eq\n",
    "residuo.g_z.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "id": "a31ffe07-d4f9-47dd-a58e-018428d1672a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.9053606790108185"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# R_2 verdadeiro\n",
    "\n",
    "g_z_medio = np.sum(grid_true.g_z.values)/np.size(grid_true.g_z)\n",
    "residuo_quadrado = np.sum(residuo.g_z.values**2)\n",
    "R_2_true = 1 - (residuo_quadrado/np.sum([(gz - g_z_medio)**2 for gz in grid_true.g_z.values]))\n",
    "\n",
    "R_2_true"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "ed7253a6-efbd-4be5-ac5b-7d173e41dcfc",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Usando validação cruzada para avaliar quão bem o modelo de fontes equivalentes consegue prever com precisão os valores do campo\n",
    "## Validação cruzada por blocos\n",
    "\n",
    "# Dados são primeiramente agrupados em blocos retangulares de tamanhos fornecimento pelo argumento \"spacing\".\n",
    "# Os blocos são então divididos em teste e treinamento iterivamente através dos k folds do dado.\n",
    "# (k é dado por \"n_splits\").\n",
    "\n",
    "# Variando n_splits e tamanho do bloco"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "id": "4f8199f9-3948-49c2-ba33-a218eae475c1",
   "metadata": {},
   "outputs": [],
   "source": [
    "parametros = [ 2, 12, 1000, 10500 ]\n",
    "##############   n ###  bloco ####################\n",
    "grade_parametros = vd.grid_coordinates(parametros, spacing=(950,1), meshgrid=False)\n",
    "\n",
    "n_splits, block = grade_parametros\n",
    "\n",
    "R_2_media = np.empty(grade_parametros[0].shape)\n",
    "\n",
    "for i in range (R_2_media.shape[0]):\n",
    "    R_2_media[i] = np.mean(\n",
    "        vd.cross_val_score(\n",
    "        fontes,\n",
    "        coordinates,\n",
    "        gz,\n",
    "        cv=vd.BlockKFold(spacing=block[i], n_splits=n_splits[i], shuffle=True, random_state=123),\n",
    "    )\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "id": "510e6cd7-2820-48d6-a4a6-9d36f1fd657c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x2632b0150c0>"
      ]
     },
     "execution_count": 54,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "#fig.subplots_adjust(right=0.75)\n",
    "\n",
    "twin1 = ax.twinx()\n",
    "\n",
    "ax.plot(R_2_media, grade_parametros[0],\"C0\", label=\"n_splits\")\n",
    "plt.axvline(x = R_2_true, color = 'black', linestyle = 'dotted', label=\"R_2_true\") \n",
    "twin1.plot(R_2_media, grade_parametros[1], \"C1\", label=\"block size\")\n",
    "ax.set(xlabel=\"R_2\", ylabel=\"n_splits\")\n",
    "twin1.set(ylabel=\"block size\")\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "6a5e03ac-2208-4458-af08-be156a663e83",
   "metadata": {},
   "outputs": [],
   "source": [
    "parametros = [ 2, 10, 1000, 10500 ]\n",
    "##############   n ###  bloco ####################\n",
    "grade_parametros = vd.grid_coordinates(parametros, spacing=(950,1), meshgrid=False)\n",
    "\n",
    "n_splits, block = grade_parametros\n",
    "\n",
    "# Vetor para calcular a variação de spacing (tamanho do bloco)\n",
    "# n_splits definido como 5\n",
    "R_2_media_s = np.empty(grade_parametros[1].shape)\n",
    "\n",
    "for i in range (R_2_media_s.shape[0]):\n",
    "    R_2_media_s[i] = np.mean(\n",
    "        vd.cross_val_score(\n",
    "        fontes,\n",
    "        coordinates,\n",
    "        gz,\n",
    "        cv=vd.BlockKFold(spacing=block[i], n_splits=5, shuffle=True, random_state=123),\n",
    "    )\n",
    ")\n",
    "\n",
    "#Vetor para calcular a variação de n_splits\n",
    "# tamanho do bloco definido como 3000\n",
    "\n",
    "R_2_media_n = np.empty(grade_parametros[0].shape)\n",
    "\n",
    "for j in range (R_2_media_n.shape[0]):\n",
    "    R_2_media_n[j] = np.mean(\n",
    "        vd.cross_val_score(\n",
    "        fontes,\n",
    "        coordinates,\n",
    "        gz,\n",
    "        cv=vd.BlockKFold(spacing=3000, n_splits=n_splits[j], shuffle=True, random_state=123),\n",
    "    )\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "id": "ca7b30af-0f78-46c5-acd6-ce0dc448ed92",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x2632ad94a60>"
      ]
     },
     "execution_count": 52,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "# n_splits definido como 5\n",
    "# tamanho do bloco definido como 3000\n",
    "twin1 = ax.twinx()\n",
    "\n",
    "ax.plot(R_2_media_n, grade_parametros[0],\"C0\", label=\"n_splits\")\n",
    "plt.axvline(x = R_2_true, color = 'black', linestyle = 'dotted', label=\"R_2_true\") \n",
    "twin1.plot(R_2_media_s, grade_parametros[1], \"C1\", label=\"block size\")\n",
    "ax.set(xlabel=\"R_2\", ylabel=\"n_splits\")\n",
    "twin1.set(ylabel=\"block size\")\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "f5a087cc-bbdc-471a-b33f-ebf3995d4ee5",
   "metadata": {},
   "outputs": [],
   "source": [
    "parametros = [ 2, 12, 1000, 10500 ]\n",
    "##############   n ###  bloco ####################\n",
    "grade_parametros = vd.grid_coordinates(parametros, spacing=(950,1))\n",
    "\n",
    "n_splits, block = grade_parametros\n",
    "\n",
    "R_2_media = np.empty(grade_parametros[0].shape)\n",
    "\n",
    "for i in range (R_2_media.shape[0]):\n",
    "    for j in range (R_2_media.shape[1]):\n",
    "        \n",
    "        R_2_media[i,j] = np.mean(\n",
    "            vd.cross_val_score(\n",
    "            fontes,\n",
    "            coordinates,\n",
    "            gz,\n",
    "            cv=vd.BlockKFold(spacing=block[i,j], n_splits=n_splits[i,j], shuffle=True, random_state=123),\n",
    "        )\n",
    "    )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "cdd6ef66-567d-4858-be07-0cc29985e69d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.colorbar.Colorbar at 0x26326cea500>"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.pcolormesh(grade_parametros[0], grade_parametros[1], R_2_media, cmap=\"plasma\")\n",
    "plt.xlabel(\"n_splits\")\n",
    "plt.ylabel(\"block size\")\n",
    "plt.colorbar(label=\"R_2\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ef955c1a-3d67-487c-ad3c-b2255925c115",
   "metadata": {},
   "source": [
    "# Levantamento aéreo "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "id": "7e7513d9-deee-40b3-8a26-aa6e03a35787",
   "metadata": {},
   "outputs": [],
   "source": [
    "region = [0, 100e3, 0, 90e3] \n",
    "# Espaçamento entre as linhas de voo: 5000\n",
    "spacing = (500,5000) \n",
    "coordinates = vd.grid_coordinates(region=region, spacing=spacing, extra_coords=500) # Coordenadas do levantamento \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "id": "8b583ad2-84a8-412c-9394-7c7d57e78c23",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x2632b276410>,\n",
       " <matplotlib.lines.Line2D at 0x2632b2764a0>,\n",
       " <matplotlib.lines.Line2D at 0x2632b276590>,\n",
       " <matplotlib.lines.Line2D at 0x2632b276680>,\n",
       " <matplotlib.lines.Line2D at 0x2632b276770>,\n",
       " <matplotlib.lines.Line2D at 0x2632b0324a0>,\n",
       " <matplotlib.lines.Line2D at 0x2632b2768f0>,\n",
       " <matplotlib.lines.Line2D at 0x2632b2769e0>,\n",
       " <matplotlib.lines.Line2D at 0x2632b276ad0>,\n",
       " <matplotlib.lines.Line2D at 0x2632b276bc0>,\n",
       " <matplotlib.lines.Line2D at 0x2632b276cb0>,\n",
       " <matplotlib.lines.Line2D at 0x2632b276da0>,\n",
       " <matplotlib.lines.Line2D at 0x2632b276e90>,\n",
       " <matplotlib.lines.Line2D at 0x2632b276f80>,\n",
       " <matplotlib.lines.Line2D at 0x2632b277070>,\n",
       " <matplotlib.lines.Line2D at 0x2632b277160>,\n",
       " <matplotlib.lines.Line2D at 0x2632b277250>,\n",
       " <matplotlib.lines.Line2D at 0x2632b277340>,\n",
       " <matplotlib.lines.Line2D at 0x2632b277430>,\n",
       " <matplotlib.lines.Line2D at 0x2632b277520>,\n",
       " <matplotlib.lines.Line2D at 0x2632b277610>]"
      ]
     },
     "execution_count": 58,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(coordinates[0], coordinates[1],'o', color='black')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "id": "c2a7e6d3-67db-41e5-acb0-327b4a3139dd",
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "\n",
    "prismas = [\n",
    "    [10e3, 15e3, 20e3, 35e3, -1e3,  0],\n",
    "    [60e3, 80e3, 50e3, 70e3, -2e3,  -0.5e3],\n",
    "]\n",
    "densidades = [500, -300]\n",
    "# efeito gravitacional dos prismas\n",
    "gz = hm.prism_gravity(coordinates, prismas, densidades, field=\"g_z\")\n",
    "# criando a malha regular pra plotar o R_2 verdadeiro\n",
    "# coordenadas da malha regular\n",
    "grid_coordinates = vd.grid_coordinates(region=region, spacing=2000, extra_coords=500) \n",
    "#grid gz \n",
    "gz_grid = hm.prism_gravity(grid_coordinates, prismas, densidades, field=\"g_z\") \n",
    "#grid regular\n",
    "grid_true = vd.make_xarray_grid(grid_coordinates, gz_grid, data_names=\"g_z\", extra_coords_names=\"upward\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "id": "0509175e-b1e3-4a1f-a653-d6e5af94baf0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.QuadMesh at 0x2632b478f70>"
      ]
     },
     "execution_count": 60,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "grid_true.g_z.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "id": "fcbb828f-ea95-4210-9fb3-0a72df0dcf08",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.colorbar.Colorbar at 0x2632b5529b0>"
      ]
     },
     "execution_count": 61,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(coordinates[0],coordinates[1],s=5,c=gz)\n",
    "plt.colorbar() # resultado do levantamento"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "id": "948f7ac0-3a1d-4568-a1df-5634066247fc",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style>#sk-container-id-3 {\n",
       "  /* Definition of color scheme common for light and dark mode */\n",
       "  --sklearn-color-text: black;\n",
       "  --sklearn-color-line: gray;\n",
       "  /* Definition of color scheme for unfitted estimators */\n",
       "  --sklearn-color-unfitted-level-0: #fff5e6;\n",
       "  --sklearn-color-unfitted-level-1: #f6e4d2;\n",
       "  --sklearn-color-unfitted-level-2: #ffe0b3;\n",
       "  --sklearn-color-unfitted-level-3: chocolate;\n",
       "  /* Definition of color scheme for fitted estimators */\n",
       "  --sklearn-color-fitted-level-0: #f0f8ff;\n",
       "  --sklearn-color-fitted-level-1: #d4ebff;\n",
       "  --sklearn-color-fitted-level-2: #b3dbfd;\n",
       "  --sklearn-color-fitted-level-3: cornflowerblue;\n",
       "\n",
       "  /* Specific color for light theme */\n",
       "  --sklearn-color-text-on-default-background: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, black)));\n",
       "  --sklearn-color-background: var(--sg-background-color, var(--theme-background, var(--jp-layout-color0, white)));\n",
       "  --sklearn-color-border-box: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, black)));\n",
       "  --sklearn-color-icon: #696969;\n",
       "\n",
       "  @media (prefers-color-scheme: dark) {\n",
       "    /* Redefinition of color scheme for dark theme */\n",
       "    --sklearn-color-text-on-default-background: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, white)));\n",
       "    --sklearn-color-background: var(--sg-background-color, var(--theme-background, var(--jp-layout-color0, #111)));\n",
       "    --sklearn-color-border-box: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, white)));\n",
       "    --sklearn-color-icon: #878787;\n",
       "  }\n",
       "}\n",
       "\n",
       "#sk-container-id-3 {\n",
       "  color: var(--sklearn-color-text);\n",
       "}\n",
       "\n",
       "#sk-container-id-3 pre {\n",
       "  padding: 0;\n",
       "}\n",
       "\n",
       "#sk-container-id-3 input.sk-hidden--visually {\n",
       "  border: 0;\n",
       "  clip: rect(1px 1px 1px 1px);\n",
       "  clip: rect(1px, 1px, 1px, 1px);\n",
       "  height: 1px;\n",
       "  margin: -1px;\n",
       "  overflow: hidden;\n",
       "  padding: 0;\n",
       "  position: absolute;\n",
       "  width: 1px;\n",
       "}\n",
       "\n",
       "#sk-container-id-3 div.sk-dashed-wrapped {\n",
       "  border: 1px dashed var(--sklearn-color-line);\n",
       "  margin: 0 0.4em 0.5em 0.4em;\n",
       "  box-sizing: border-box;\n",
       "  padding-bottom: 0.4em;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "}\n",
       "\n",
       "#sk-container-id-3 div.sk-container {\n",
       "  /* jupyter's `normalize.less` sets `[hidden] { display: none; }`\n",
       "     but bootstrap.min.css set `[hidden] { display: none !important; }`\n",
       "     so we also need the `!important` here to be able to override the\n",
       "     default hidden behavior on the sphinx rendered scikit-learn.org.\n",
       "     See: https://github.com/scikit-learn/scikit-learn/issues/21755 */\n",
       "  display: inline-block !important;\n",
       "  position: relative;\n",
       "}\n",
       "\n",
       "#sk-container-id-3 div.sk-text-repr-fallback {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       "div.sk-parallel-item,\n",
       "div.sk-serial,\n",
       "div.sk-item {\n",
       "  /* draw centered vertical line to link estimators */\n",
       "  background-image: linear-gradient(var(--sklearn-color-text-on-default-background), var(--sklearn-color-text-on-default-background));\n",
       "  background-size: 2px 100%;\n",
       "  background-repeat: no-repeat;\n",
       "  background-position: center center;\n",
       "}\n",
       "\n",
       "/* Parallel-specific style estimator block */\n",
       "\n",
       "#sk-container-id-3 div.sk-parallel-item::after {\n",
       "  content: \"\";\n",
       "  width: 100%;\n",
       "  border-bottom: 2px solid var(--sklearn-color-text-on-default-background);\n",
       "  flex-grow: 1;\n",
       "}\n",
       "\n",
       "#sk-container-id-3 div.sk-parallel {\n",
       "  display: flex;\n",
       "  align-items: stretch;\n",
       "  justify-content: center;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "  position: relative;\n",
       "}\n",
       "\n",
       "#sk-container-id-3 div.sk-parallel-item {\n",
       "  display: flex;\n",
       "  flex-direction: column;\n",
       "}\n",
       "\n",
       "#sk-container-id-3 div.sk-parallel-item:first-child::after {\n",
       "  align-self: flex-end;\n",
       "  width: 50%;\n",
       "}\n",
       "\n",
       "#sk-container-id-3 div.sk-parallel-item:last-child::after {\n",
       "  align-self: flex-start;\n",
       "  width: 50%;\n",
       "}\n",
       "\n",
       "#sk-container-id-3 div.sk-parallel-item:only-child::after {\n",
       "  width: 0;\n",
       "}\n",
       "\n",
       "/* Serial-specific style estimator block */\n",
       "\n",
       "#sk-container-id-3 div.sk-serial {\n",
       "  display: flex;\n",
       "  flex-direction: column;\n",
       "  align-items: center;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "  padding-right: 1em;\n",
       "  padding-left: 1em;\n",
       "}\n",
       "\n",
       "\n",
       "/* Toggleable style: style used for estimator/Pipeline/ColumnTransformer box that is\n",
       "clickable and can be expanded/collapsed.\n",
       "- Pipeline and ColumnTransformer use this feature and define the default style\n",
       "- Estimators will overwrite some part of the style using the `sk-estimator` class\n",
       "*/\n",
       "\n",
       "/* Pipeline and ColumnTransformer style (default) */\n",
       "\n",
       "#sk-container-id-3 div.sk-toggleable {\n",
       "  /* Default theme specific background. It is overwritten whether we have a\n",
       "  specific estimator or a Pipeline/ColumnTransformer */\n",
       "  background-color: var(--sklearn-color-background);\n",
       "}\n",
       "\n",
       "/* Toggleable label */\n",
       "#sk-container-id-3 label.sk-toggleable__label {\n",
       "  cursor: pointer;\n",
       "  display: block;\n",
       "  width: 100%;\n",
       "  margin-bottom: 0;\n",
       "  padding: 0.5em;\n",
       "  box-sizing: border-box;\n",
       "  text-align: center;\n",
       "}\n",
       "\n",
       "#sk-container-id-3 label.sk-toggleable__label-arrow:before {\n",
       "  /* Arrow on the left of the label */\n",
       "  content: \"▸\";\n",
       "  float: left;\n",
       "  margin-right: 0.25em;\n",
       "  color: var(--sklearn-color-icon);\n",
       "}\n",
       "\n",
       "#sk-container-id-3 label.sk-toggleable__label-arrow:hover:before {\n",
       "  color: var(--sklearn-color-text);\n",
       "}\n",
       "\n",
       "/* Toggleable content - dropdown */\n",
       "\n",
       "#sk-container-id-3 div.sk-toggleable__content {\n",
       "  max-height: 0;\n",
       "  max-width: 0;\n",
       "  overflow: hidden;\n",
       "  text-align: left;\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-3 div.sk-toggleable__content.fitted {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-3 div.sk-toggleable__content pre {\n",
       "  margin: 0.2em;\n",
       "  border-radius: 0.25em;\n",
       "  color: var(--sklearn-color-text);\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-3 div.sk-toggleable__content.fitted pre {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-3 input.sk-toggleable__control:checked~div.sk-toggleable__content {\n",
       "  /* Expand drop-down */\n",
       "  max-height: 200px;\n",
       "  max-width: 100%;\n",
       "  overflow: auto;\n",
       "}\n",
       "\n",
       "#sk-container-id-3 input.sk-toggleable__control:checked~label.sk-toggleable__label-arrow:before {\n",
       "  content: \"▾\";\n",
       "}\n",
       "\n",
       "/* Pipeline/ColumnTransformer-specific style */\n",
       "\n",
       "#sk-container-id-3 div.sk-label input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
       "  color: var(--sklearn-color-text);\n",
       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
       "}\n",
       "\n",
       "#sk-container-id-3 div.sk-label.fitted input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
       "  background-color: var(--sklearn-color-fitted-level-2);\n",
       "}\n",
       "\n",
       "/* Estimator-specific style */\n",
       "\n",
       "/* Colorize estimator box */\n",
       "#sk-container-id-3 div.sk-estimator input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
       "}\n",
       "\n",
       "#sk-container-id-3 div.sk-estimator.fitted input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-2);\n",
       "}\n",
       "\n",
       "#sk-container-id-3 div.sk-label label.sk-toggleable__label,\n",
       "#sk-container-id-3 div.sk-label label {\n",
       "  /* The background is the default theme color */\n",
       "  color: var(--sklearn-color-text-on-default-background);\n",
       "}\n",
       "\n",
       "/* On hover, darken the color of the background */\n",
       "#sk-container-id-3 div.sk-label:hover label.sk-toggleable__label {\n",
       "  color: var(--sklearn-color-text);\n",
       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
       "}\n",
       "\n",
       "/* Label box, darken color on hover, fitted */\n",
       "#sk-container-id-3 div.sk-label.fitted:hover label.sk-toggleable__label.fitted {\n",
       "  color: var(--sklearn-color-text);\n",
       "  background-color: var(--sklearn-color-fitted-level-2);\n",
       "}\n",
       "\n",
       "/* Estimator label */\n",
       "\n",
       "#sk-container-id-3 div.sk-label label {\n",
       "  font-family: monospace;\n",
       "  font-weight: bold;\n",
       "  display: inline-block;\n",
       "  line-height: 1.2em;\n",
       "}\n",
       "\n",
       "#sk-container-id-3 div.sk-label-container {\n",
       "  text-align: center;\n",
       "}\n",
       "\n",
       "/* Estimator-specific */\n",
       "#sk-container-id-3 div.sk-estimator {\n",
       "  font-family: monospace;\n",
       "  border: 1px dotted var(--sklearn-color-border-box);\n",
       "  border-radius: 0.25em;\n",
       "  box-sizing: border-box;\n",
       "  margin-bottom: 0.5em;\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-3 div.sk-estimator.fitted {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-0);\n",
       "}\n",
       "\n",
       "/* on hover */\n",
       "#sk-container-id-3 div.sk-estimator:hover {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
       "}\n",
       "\n",
       "#sk-container-id-3 div.sk-estimator.fitted:hover {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-2);\n",
       "}\n",
       "\n",
       "/* Specification for estimator info (e.g. \"i\" and \"?\") */\n",
       "\n",
       "/* Common style for \"i\" and \"?\" */\n",
       "\n",
       ".sk-estimator-doc-link,\n",
       "a:link.sk-estimator-doc-link,\n",
       "a:visited.sk-estimator-doc-link {\n",
       "  float: right;\n",
       "  font-size: smaller;\n",
       "  line-height: 1em;\n",
       "  font-family: monospace;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "  border-radius: 1em;\n",
       "  height: 1em;\n",
       "  width: 1em;\n",
       "  text-decoration: none !important;\n",
       "  margin-left: 1ex;\n",
       "  /* unfitted */\n",
       "  border: var(--sklearn-color-unfitted-level-1) 1pt solid;\n",
       "  color: var(--sklearn-color-unfitted-level-1);\n",
       "}\n",
       "\n",
       ".sk-estimator-doc-link.fitted,\n",
       "a:link.sk-estimator-doc-link.fitted,\n",
       "a:visited.sk-estimator-doc-link.fitted {\n",
       "  /* fitted */\n",
       "  border: var(--sklearn-color-fitted-level-1) 1pt solid;\n",
       "  color: var(--sklearn-color-fitted-level-1);\n",
       "}\n",
       "\n",
       "/* On hover */\n",
       "div.sk-estimator:hover .sk-estimator-doc-link:hover,\n",
       ".sk-estimator-doc-link:hover,\n",
       "div.sk-label-container:hover .sk-estimator-doc-link:hover,\n",
       ".sk-estimator-doc-link:hover {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-3);\n",
       "  color: var(--sklearn-color-background);\n",
       "  text-decoration: none;\n",
       "}\n",
       "\n",
       "div.sk-estimator.fitted:hover .sk-estimator-doc-link.fitted:hover,\n",
       ".sk-estimator-doc-link.fitted:hover,\n",
       "div.sk-label-container:hover .sk-estimator-doc-link.fitted:hover,\n",
       ".sk-estimator-doc-link.fitted:hover {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-3);\n",
       "  color: var(--sklearn-color-background);\n",
       "  text-decoration: none;\n",
       "}\n",
       "\n",
       "/* Span, style for the box shown on hovering the info icon */\n",
       ".sk-estimator-doc-link span {\n",
       "  display: none;\n",
       "  z-index: 9999;\n",
       "  position: relative;\n",
       "  font-weight: normal;\n",
       "  right: .2ex;\n",
       "  padding: .5ex;\n",
       "  margin: .5ex;\n",
       "  width: min-content;\n",
       "  min-width: 20ex;\n",
       "  max-width: 50ex;\n",
       "  color: var(--sklearn-color-text);\n",
       "  box-shadow: 2pt 2pt 4pt #999;\n",
       "  /* unfitted */\n",
       "  background: var(--sklearn-color-unfitted-level-0);\n",
       "  border: .5pt solid var(--sklearn-color-unfitted-level-3);\n",
       "}\n",
       "\n",
       ".sk-estimator-doc-link.fitted span {\n",
       "  /* fitted */\n",
       "  background: var(--sklearn-color-fitted-level-0);\n",
       "  border: var(--sklearn-color-fitted-level-3);\n",
       "}\n",
       "\n",
       ".sk-estimator-doc-link:hover span {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       "/* \"?\"-specific style due to the `<a>` HTML tag */\n",
       "\n",
       "#sk-container-id-3 a.estimator_doc_link {\n",
       "  float: right;\n",
       "  font-size: 1rem;\n",
       "  line-height: 1em;\n",
       "  font-family: monospace;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "  border-radius: 1rem;\n",
       "  height: 1rem;\n",
       "  width: 1rem;\n",
       "  text-decoration: none;\n",
       "  /* unfitted */\n",
       "  color: var(--sklearn-color-unfitted-level-1);\n",
       "  border: var(--sklearn-color-unfitted-level-1) 1pt solid;\n",
       "}\n",
       "\n",
       "#sk-container-id-3 a.estimator_doc_link.fitted {\n",
       "  /* fitted */\n",
       "  border: var(--sklearn-color-fitted-level-1) 1pt solid;\n",
       "  color: var(--sklearn-color-fitted-level-1);\n",
       "}\n",
       "\n",
       "/* On hover */\n",
       "#sk-container-id-3 a.estimator_doc_link:hover {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-3);\n",
       "  color: var(--sklearn-color-background);\n",
       "  text-decoration: none;\n",
       "}\n",
       "\n",
       "#sk-container-id-3 a.estimator_doc_link.fitted:hover {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-3);\n",
       "}\n",
       "</style><div id=\"sk-container-id-3\" class=\"sk-top-container\"><div class=\"sk-text-repr-fallback\"><pre>EquivalentSourcesGB(damping=1, depth=2000)</pre><b>In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. <br />On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.</b></div><div class=\"sk-container\" hidden><div class=\"sk-item\"><div class=\"sk-estimator fitted sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-3\" type=\"checkbox\" checked><label for=\"sk-estimator-id-3\" class=\"sk-toggleable__label fitted sk-toggleable__label-arrow fitted\">&nbsp;EquivalentSourcesGB<span class=\"sk-estimator-doc-link fitted\">i<span>Fitted</span></span></label><div class=\"sk-toggleable__content fitted\"><pre>EquivalentSourcesGB(damping=1, depth=2000)</pre></div> </div></div></div></div>"
      ],
      "text/plain": [
       "EquivalentSourcesGB(damping=1, depth=2000)"
      ]
     },
     "execution_count": 62,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# gerando modelo de fontes equivalentes\n",
    "\n",
    "fontes = hm.EquivalentSourcesGB(damping=1,depth=2000)\n",
    "\n",
    "fontes.fit([coordinates[0],coordinates[1],coordinates[2]],data=gz) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "id": "7ef8953c-74ad-4c1b-81c5-11424be908d4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.QuadMesh at 0x2632b5ee1a0>"
      ]
     },
     "execution_count": 63,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "gz_grid_eq = fontes.grid(grid_coordinates,data_names=\"g_z\")\n",
    "# resultado utilizando fontes equivalentes \n",
    "# (interpolação dos dados entre as linhas de voo)\n",
    "gz_grid_eq.g_z.plot() "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "cf2ef5a1-4ccb-497d-aa1c-c00832887030",
   "metadata": {},
   "outputs": [
    {
     "ename": "NameError",
     "evalue": "name 'grid_true' is not defined",
     "output_type": "error",
     "traceback": [
      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[1;31mNameError\u001b[0m                                 Traceback (most recent call last)",
      "Cell \u001b[1;32mIn[1], line 3\u001b[0m\n\u001b[0;32m      1\u001b[0m \u001b[38;5;66;03m# Plotando a diferença entre grid_true (levantamento na malha regular) e gz_grid_eq (fontes equivalentes)\u001b[39;00m\n\u001b[1;32m----> 3\u001b[0m residuo \u001b[38;5;241m=\u001b[39m \u001b[43mgrid_true\u001b[49m \u001b[38;5;241m-\u001b[39m gz_grid_eq\n\u001b[0;32m      4\u001b[0m residuo\u001b[38;5;241m.\u001b[39mg_z\u001b[38;5;241m.\u001b[39mplot()\n",
      "\u001b[1;31mNameError\u001b[0m: name 'grid_true' is not defined"
     ]
    }
   ],
   "source": [
    "# Plotando a diferença entre grid_true (levantamento na malha regular) e gz_grid_eq (fontes equivalentes)\n",
    "\n",
    "residuo = grid_true - gz_grid_eq\n",
    "residuo.g_z.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "id": "f10f3f18-fde3-4956-bbc4-d2fd03df1f73",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.9600604646857972"
      ]
     },
     "execution_count": 65,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# R_2 verdadeiro \n",
    "\n",
    "g_z_medio = np.sum(grid_true.g_z.values)/np.size(grid_true.g_z)\n",
    "residuo_quadrado = np.sum(residuo.g_z.values**2)\n",
    "R_2_true = 1 - (residuo_quadrado/np.sum([(gz - g_z_medio)**2 for gz in grid_true.g_z.values]))\n",
    "\n",
    "R_2_true"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "id": "768ab363-b0d8-48b4-b42f-2226b464c87d",
   "metadata": {},
   "outputs": [],
   "source": [
    "parametros = [ 2, 12, 1000, 10500 ]\n",
    "##############   n ###  bloco ####################\n",
    "grade_parametros = vd.grid_coordinates(parametros, spacing=(950,1), meshgrid=False)\n",
    "\n",
    "n_splits, block = grade_parametros\n",
    "\n",
    "R_2_media = np.empty(grade_parametros[0].shape)\n",
    "\n",
    "for i in range (R_2_media.shape[0]):\n",
    "    R_2_media[i] = np.mean(\n",
    "        vd.cross_val_score(\n",
    "        fontes,\n",
    "        coordinates,\n",
    "        gz,\n",
    "        cv=vd.BlockKFold(spacing=block[i], n_splits=n_splits[i], shuffle=True, random_state=123),\n",
    "    )\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "id": "e4134af4-b5fa-4bc0-9d85-90a8c9bb4d99",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x2632bd5a050>"
      ]
     },
     "execution_count": 67,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "#fig.subplots_adjust(right=0.75)\n",
    "\n",
    "twin1 = ax.twinx()\n",
    "\n",
    "ax.plot(R_2_media, grade_parametros[0],\"C0\", label=\"\")\n",
    "plt.axvline(x = R_2_true, color = 'black', linestyle = 'dotted', label=\"R_2_true\") \n",
    "twin1.plot(R_2_media, grade_parametros[1], \"C1\")\n",
    "ax.set(xlabel=\"R_2\", ylabel=\"n_splits\")\n",
    "twin1.set(ylabel=\"block size\")\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "id": "eb159209-3043-4094-9976-98292b66f294",
   "metadata": {},
   "outputs": [],
   "source": [
    "parametros = [ 2, 10, 1000, 10500 ]\n",
    "##############   n ###  bloco ####################\n",
    "grade_parametros = vd.grid_coordinates(parametros, spacing=(950,1), meshgrid=False)\n",
    "\n",
    "n_splits, block = grade_parametros\n",
    "\n",
    "# Vetor para calcular a variação de spacing (tamanho do bloco)\n",
    "# n_splits definido como 5\n",
    "R_2_media_s = np.empty(grade_parametros[1].shape)\n",
    "\n",
    "for i in range (R_2_media_s.shape[0]):\n",
    "    R_2_media_s[i] = np.mean(\n",
    "        vd.cross_val_score(\n",
    "        fontes,\n",
    "        coordinates,\n",
    "        gz,\n",
    "        cv=vd.BlockKFold(spacing=block[i], n_splits=5, shuffle=True, random_state=123),\n",
    "    )\n",
    ")\n",
    "\n",
    "#Vetor para calcular a variação de n_splits\n",
    "# tamanho do bloco definido como 3000\n",
    "\n",
    "R_2_media_n = np.empty(grade_parametros[0].shape)\n",
    "\n",
    "for j in range (R_2_media_n.shape[0]):\n",
    "    R_2_media_n[j] = np.mean(\n",
    "        vd.cross_val_score(\n",
    "        fontes,\n",
    "        coordinates,\n",
    "        gz,\n",
    "        cv=vd.BlockKFold(spacing=3000, n_splits=n_splits[j], shuffle=True, random_state=123),\n",
    "    )\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "id": "d8c2213c-1695-4372-9a43-cd725220ef26",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x2632bd74550>"
      ]
     },
     "execution_count": 69,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "# n_splits definido como 5\n",
    "# tamanho do bloco definido como 3000\n",
    "twin1 = ax.twinx()\n",
    "\n",
    "ax.plot(R_2_media_n, grade_parametros[0],\"C0\", label=\"n_splits\")\n",
    "plt.axvline(x = R_2_true, color = 'black', linestyle = 'dotted', label=\"R_2_true\") \n",
    "twin1.plot(R_2_media_s, grade_parametros[1], \"C1\", label=\"block size\")\n",
    "ax.set(xlabel=\"R_2\", ylabel=\"n_splits\")\n",
    "twin1.set(ylabel=\"block size\")\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "id": "e00c8d97-6915-4c79-814b-26e270797064",
   "metadata": {},
   "outputs": [],
   "source": [
    "parametros = [ 2, 12, 1000, 10500 ]\n",
    "##############   n ###  bloco ####################\n",
    "grade_parametros = vd.grid_coordinates(parametros, spacing=(950,1))\n",
    "\n",
    "n_splits, block = grade_parametros\n",
    "\n",
    "R_2_media = np.empty(grade_parametros[0].shape)\n",
    "\n",
    "for i in range (R_2_media.shape[0]):\n",
    "    for j in range (R_2_media.shape[1]):\n",
    "        \n",
    "        R_2_media[i,j] = np.mean(\n",
    "            vd.cross_val_score(\n",
    "            fontes,\n",
    "            coordinates,\n",
    "            gz,\n",
    "            cv=vd.BlockKFold(spacing=block[i,j], n_splits=n_splits[i,j], shuffle=True, random_state=123),\n",
    "        )\n",
    "    )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "id": "875f22fc-5104-4cf5-a310-0ef8cd083a71",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.colorbar.Colorbar at 0x2632bb9f010>"
      ]
     },
     "execution_count": 71,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.pcolormesh(grade_parametros[0], grade_parametros[1], R_2_media, cmap=\"plasma\")\n",
    "plt.xlabel(\"n_splits\")\n",
    "plt.ylabel(\"block size\")\n",
    "plt.colorbar(label=\"R_2\")"
   ]
  }
 ],
 "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": "3.10.14"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}