math_atan2.ipynb

math_atan2.ipynb

{
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  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "provenance": [],
      "authorship_tag": "ABX9TyPVS038IrB/Wg3YYiD3unVb",
      "include_colab_link": true
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/gist/dsaint31x/39ed6932d46e4a862fe9ac733bff7af8/math_atan2.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {
        "id": "UmOEuoY_EVo4"
      },
      "outputs": [],
      "source": [
        "import math"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "def ds_deg(y,x):\n",
        "  r = math.atan2(y,x)\n",
        "  r = math.degrees(r)\n",
        "  if r<0:\n",
        "    r = 360+r\n",
        "  return round(r,4)"
      ],
      "metadata": {
        "id": "EhYSFjhPGzyg"
      },
      "execution_count": 31,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "angles  = [0, 30, 45, 60, 90, 120, 135, 150, 180, 210, 225, 240, 270, 300, 315, 340, 360]\n",
        "radians = map(lambda x: x*math.pi/180., angles)\n",
        "\n",
        "vectors = [ (math.sin(r),math.cos(r)) for r in radians]\n",
        "list(map(lambda x: (round(x[0],4),round(x[1],4)),vectors))"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "1vOGG6jPI02V",
        "outputId": "44b67d2a-1f28-42ee-b853-996755fc19bb"
      },
      "execution_count": 57,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[(0.0, 1.0),\n",
              " (0.5, 0.866),\n",
              " (0.7071, 0.7071),\n",
              " (0.866, 0.5),\n",
              " (1.0, 0.0),\n",
              " (0.866, -0.5),\n",
              " (0.7071, -0.7071),\n",
              " (0.5, -0.866),\n",
              " (0.0, -1.0),\n",
              " (-0.5, -0.866),\n",
              " (-0.7071, -0.7071),\n",
              " (-0.866, -0.5),\n",
              " (-1.0, -0.0),\n",
              " (-0.866, 0.5),\n",
              " (-0.7071, 0.7071),\n",
              " (-0.342, 0.9397),\n",
              " (-0.0, 1.0)]"
            ]
          },
          "metadata": {},
          "execution_count": 57
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "for a, v in zip(angles, vectors):\n",
        "  r = ds_deg(*v)\n",
        "  print(f'{a} = {r} degrees')"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "H9hhMtWsIYHh",
        "outputId": "eb0473dc-0b07-456d-9606-df03ba41e2fe"
      },
      "execution_count": 51,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "0 = 0.0 degrees\n",
            "30 = 30.0 degrees\n",
            "45 = 45.0 degrees\n",
            "60 = 60.0 degrees\n",
            "90 = 90.0 degrees\n",
            "120 = 120.0 degrees\n",
            "135 = 135.0 degrees\n",
            "150 = 150.0 degrees\n",
            "180 = 180.0 degrees\n",
            "210 = 210.0 degrees\n",
            "225 = 225.0 degrees\n",
            "240 = 240.0 degrees\n",
            "270 = 270.0 degrees\n",
            "300 = 300.0 degrees\n",
            "315 = 315.0 degrees\n",
            "340 = 340.0 degrees\n",
            "360 = 360.0 degrees\n"
          ]
        }
      ]
    }
  ]
}