{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "provenance": []
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "q6mVTks4kBuc"
      },
      "outputs": [],
      "source": [
        "# Gráficos em Python\n",
        "'''\n",
        "Nesta aula, veremos como criar gráficos em Python de forma simples e visual.\n",
        "\n",
        "Vamos aprender:\n",
        "- gráfico de linhas;\n",
        "- gráfico de barras;\n",
        "- gráfico de dispersão;\n",
        "- histograma;\n",
        "- gráfico de pizza;\n",
        "- personalização de gráficos;\n",
        "- exportação para PNG, PDF e SVG;\n",
        "- um exemplo final de gráfico 3D interativo\n",
        "'''"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# Importação das bibliotecas\n",
        "\n",
        "# Importa a biblioteca principal para criação de gráficos\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "# Importa a biblioteca NumPy, útil para trabalhar com vetores e funções matemáticas\n",
        "import numpy as np"
      ],
      "metadata": {
        "id": "OB_kl-TdkPbi"
      },
      "execution_count": 14,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "# Gráfico de linhas\n",
        "\n",
        "# Lista com os nomes dos meses\n",
        "meses = ['Jan', 'Fev', 'Mar', 'Abr', 'Mai']\n",
        "\n",
        "# Lista com os valores de vendas em cada mês\n",
        "vendas = [10, 15, 13, 18, 20]\n",
        "\n",
        "# Define o tamanho da figura (largura, altura)\n",
        "plt.figure(figsize=(8, 4))\n",
        "\n",
        "# Cria o gráfico de linhas\n",
        "# marker='o' adiciona bolinhas sobre cada ponto\n",
        "plt.plot(meses, vendas, marker='o')\n",
        "\n",
        "# Define o título do gráfico\n",
        "plt.title('Vendas por mês')\n",
        "\n",
        "# Nome do eixo horizontal\n",
        "plt.xlabel('Mês')\n",
        "\n",
        "# Nome do eixo vertical\n",
        "plt.ylabel('Quantidade')\n",
        "\n",
        "# Exibe a grade para facilitar a leitura\n",
        "plt.grid(True)\n",
        "\n",
        "# Mostra o gráfico na tela\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 432
        },
        "id": "yY3cMVTukanT",
        "outputId": "b6fcf15d-0199-4474-d25d-abf97777ae93"
      },
      "execution_count": 15,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 800x400 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# Gráfico de barras\n",
        "\n",
        "# Categorias que serão exibidas no eixo x\n",
        "produtos = ['A', 'B', 'C', 'D']\n",
        "\n",
        "# Valores associados a cada categoria\n",
        "quantidades = [30, 12, 25, 18]\n",
        "\n",
        "# Define o tamanho da figura\n",
        "plt.figure(figsize=(8, 4))\n",
        "\n",
        "# Cria o gráfico de barras\n",
        "plt.bar(produtos, quantidades)\n",
        "\n",
        "# Título do gráfico\n",
        "plt.title('Quantidade por produto')\n",
        "\n",
        "# Nome do eixo x\n",
        "plt.xlabel('Produto')\n",
        "\n",
        "# Nome do eixo y\n",
        "plt.ylabel('Quantidade')\n",
        "\n",
        "# Mostra o gráfico\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 431
        },
        "id": "ZcGbZUS4k3S3",
        "outputId": "c8e74dbb-d48e-4e81-b114-38d972fe909d"
      },
      "execution_count": 16,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 800x400 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# Gráfico de dispersão\n",
        "\n",
        "# Valores da variável idade\n",
        "idade = [15, 16, 17, 18, 19, 20, 21]\n",
        "\n",
        "# Valores da variável nota\n",
        "nota = [6.0, 6.5, 7.0, 7.8, 8.2, 8.5, 9.0]\n",
        "\n",
        "# Define o tamanho da figura\n",
        "plt.figure(figsize=(8, 4))\n",
        "\n",
        "# Cria o gráfico de dispersão\n",
        "# Cada par (idade, nota) será mostrado como um ponto\n",
        "plt.scatter(idade, nota)\n",
        "\n",
        "# Título do gráfico\n",
        "plt.title('Idade x Nota')\n",
        "\n",
        "# Nome do eixo x\n",
        "plt.xlabel('Idade')\n",
        "\n",
        "# Nome do eixo y\n",
        "plt.ylabel('Nota')\n",
        "\n",
        "# Mostra grade\n",
        "plt.grid(True)\n",
        "\n",
        "# Exibe o gráfico\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 431
        },
        "id": "5CyTTwn4k5z3",
        "outputId": "dd3c4819-e389-42a1-c62e-8f7669777c14"
      },
      "execution_count": 17,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 800x400 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# Histograma\n",
        "\n",
        "# Lista de dados numéricos\n",
        "dados = [5, 6, 7, 7, 8, 8, 8, 9, 9, 10, 10, 10, 10, 6, 7, 8, 9]\n",
        "\n",
        "# Define o tamanho da figura\n",
        "plt.figure(figsize=(8, 4))\n",
        "\n",
        "# Cria o histograma\n",
        "# bins=5 divide os dados em 5 intervalos\n",
        "# edgecolor='black' coloca borda preta nas barras\n",
        "plt.hist(dados, bins=5, edgecolor='black')\n",
        "\n",
        "# Título do gráfico\n",
        "plt.title('Distribuição dos dados')\n",
        "\n",
        "# Nome do eixo x\n",
        "plt.xlabel('Valores')\n",
        "\n",
        "# Nome do eixo y\n",
        "plt.ylabel('Frequência')\n",
        "\n",
        "# Exibe o gráfico\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 431
        },
        "id": "8xSuyLbnk7ii",
        "outputId": "5d0edf37-0d7a-4304-dec9-483ebce18b95"
      },
      "execution_count": 18,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 800x400 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# Gráfico de pizza\n",
        "\n",
        "# Nomes das categorias\n",
        "categorias = ['Transporte', 'Alimentação', 'Lazer', 'Outros']\n",
        "\n",
        "# Valores de cada categoria\n",
        "valores = [25, 35, 20, 20]\n",
        "\n",
        "# Define o tamanho da figura\n",
        "plt.figure(figsize=(6, 6))\n",
        "\n",
        "# Cria o gráfico de pizza\n",
        "# labels mostra os nomes das categorias\n",
        "# autopct mostra as porcentagens\n",
        "# startangle=90 gira o gráfico para começar do topo\n",
        "plt.pie(valores, labels=categorias, autopct='%1.1f%%', startangle=90)\n",
        "\n",
        "# Título do gráfico\n",
        "plt.title('Distribuição de gastos')\n",
        "\n",
        "# Exibe o gráfico\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 541
        },
        "id": "psbYX1Buk_Wz",
        "outputId": "c940f4fa-33f6-40ac-aeb0-252ecf8b0073"
      },
      "execution_count": 19,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 600x600 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# Exemplo de personalização\n",
        "\n",
        "# Valores do eixo x\n",
        "x = [1, 2, 3, 4, 5]\n",
        "\n",
        "# Primeira sequência de valores do eixo y\n",
        "y1 = [2, 4, 6, 8, 10]\n",
        "\n",
        "# Segunda sequência de valores do eixo y\n",
        "y2 = [1, 3, 5, 7, 9]\n",
        "\n",
        "# Define o tamanho da figura\n",
        "plt.figure(figsize=(9, 5))\n",
        "\n",
        "# Plota a primeira linha\n",
        "# marker='o' adiciona marcadores circulares\n",
        "# label define o nome da linha na legenda\n",
        "plt.plot(x, y1, marker='o', label='Linha 1')\n",
        "\n",
        "# Plota a segunda linha\n",
        "plt.plot(x, y2, marker='s', label='Linha 2')\n",
        "\n",
        "# Define o título\n",
        "plt.title('Exemplo com personalização')\n",
        "\n",
        "# Nome do eixo x\n",
        "plt.xlabel('Eixo X')\n",
        "\n",
        "# Nome do eixo y\n",
        "plt.ylabel('Eixo Y')\n",
        "\n",
        "# Exibe a legenda\n",
        "plt.legend()\n",
        "\n",
        "# Exibe a grade\n",
        "plt.grid(True)\n",
        "\n",
        "# Mostra o gráfico\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 508
        },
        "id": "yusljox1lXVc",
        "outputId": "9dc19e47-a5b2-4994-b0f0-f62c7f146f58"
      },
      "execution_count": 20,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 900x500 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# Função ligada a Cálculo Numérico\n",
        "\n",
        "# Gera 200 pontos entre 0 e 1\n",
        "x = np.linspace(0, 1, 200)\n",
        "\n",
        "# Calcula a função f(x) = cos(x) - x\n",
        "y = np.cos(x) - x\n",
        "\n",
        "# Define o tamanho da figura\n",
        "plt.figure(figsize=(8, 4))\n",
        "\n",
        "# Plota a função\n",
        "plt.plot(x, y, label='f(x) = cos(x) - x')\n",
        "\n",
        "# Desenha a linha horizontal y = 0\n",
        "plt.axhline(0)\n",
        "\n",
        "# Define o título\n",
        "plt.title('Função f(x) = cos(x) - x')\n",
        "\n",
        "# Nome do eixo x\n",
        "plt.xlabel('x')\n",
        "\n",
        "# Nome do eixo y\n",
        "plt.ylabel('f(x)')\n",
        "\n",
        "# Exibe legenda\n",
        "plt.legend()\n",
        "\n",
        "# Exibe grade\n",
        "plt.grid(True)\n",
        "\n",
        "# Mostra o gráfico\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 431
        },
        "id": "1xfhOuirmKOn",
        "outputId": "8c41aea3-6f56-441d-8645-413bfbb16b4f"
      },
      "execution_count": 21,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 800x400 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# Exportar em imagens\n",
        "\n",
        "# Gera 200 pontos entre 0 e 1\n",
        "x = np.linspace(0, 1, 200)\n",
        "\n",
        "# Calcula a função f(x) = cos(x) - x\n",
        "y = np.cos(x) - x\n",
        "\n",
        "# Define o tamanho da figura\n",
        "plt.figure(figsize=(8, 4))\n",
        "\n",
        "# Desenha o gráfico da função\n",
        "plt.plot(x, y)\n",
        "\n",
        "# Desenha o eixo horizontal\n",
        "plt.axhline(0)\n",
        "\n",
        "# Título do gráfico\n",
        "plt.title('Gráfico de f(x) = cos(x) - x')\n",
        "\n",
        "# Nome do eixo x\n",
        "plt.xlabel('x')\n",
        "\n",
        "# Nome do eixo y\n",
        "plt.ylabel('f(x)')\n",
        "\n",
        "# Mostra a grade\n",
        "plt.grid(True)\n",
        "\n",
        "# Salva em PNG\n",
        "plt.savefig('exercicio7.png', dpi=300, bbox_inches='tight')\n",
        "\n",
        "# Salva em PDF\n",
        "plt.savefig('exercicio7.pdf', bbox_inches='tight')\n",
        "\n",
        "# Salva em SVG\n",
        "plt.savefig('exercicio7.svg', bbox_inches='tight')\n",
        "\n",
        "# Exibe o gráfico\n",
        "plt.show()"
      ],
      "metadata": {
        "id": "GdjCijt-md4f"
      },
      "execution_count": 11,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "# Gráfico em 3D interativo\n",
        "\n",
        "# Importa novamente o NumPy\n",
        "import numpy as np\n",
        "\n",
        "# Importa os objetos gráficos do Plotly\n",
        "import plotly.graph_objects as go\n",
        "\n",
        "# Cria 80 valores igualmente espaçados entre -5 e 5 para x\n",
        "x = np.linspace(-5, 5, 80)\n",
        "\n",
        "# Cria 80 valores igualmente espaçados entre -5 e 5 para y\n",
        "y = np.linspace(-5, 5, 80)\n",
        "\n",
        "# Cria uma malha 2D com os valores de x e y\n",
        "# Isso é necessário para gerar superfícies 3D\n",
        "X, Y = np.meshgrid(x, y)\n",
        "\n",
        "# Calcula a função z = sen(raiz(x² + y²))\n",
        "Z = np.sin(np.sqrt(X**2 + Y**2))\n",
        "\n",
        "# Cria a figura 3D com uma superfície\n",
        "fig = go.Figure(data=[go.Surface(x=X, y=Y, z=Z)])\n",
        "\n",
        "# Atualiza o layout da figura\n",
        "fig.update_layout(\n",
        "    title='Superfície 3D interativa',\n",
        "    scene=dict(\n",
        "        xaxis_title='X',\n",
        "        yaxis_title='Y',\n",
        "        zaxis_title='Z'\n",
        "    ),\n",
        "    width=900,\n",
        "    height=700\n",
        ")\n",
        "\n",
        "# Exibe o gráfico interativo\n",
        "fig.show()\n",
        "\n",
        "# Salva o gráfico interativo em um arquivo HTML\n",
        "# Esse arquivo pode ser aberto no navegador e permite rotação e zoom\n",
        "fig.write_html('grafico_3d_interativo.html')"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 737
        },
        "id": "9Jc3nY4xmijL",
        "outputId": "cf879593-1f46-4d9f-e48e-bef2b6b3f9be"
      },
      "execution_count": 13,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/html": [
              "<html>\n",
              "<head><meta charset=\"utf-8\" /></head>\n",
              "<body>\n",
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