{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "f27f266c",
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   "source": [
    ".. index:: Grid construction\n",
    "\n",
    "# Examples of grid construction\n",
    "In addition to the already discussed construction of Cartesian grid using\n",
    "`dune.grid.structuredGrid` and `dune.grid.cartesianDomain` and\n",
    "the usage of dictionaries discussed in the [general concepts section](dune-corepy_nb.ipynb),\n",
    "it is also possible to read grid files using either the `DGF` or `gmsh` format (or other\n",
    "formats available through the `meshio` package).\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "b01cd755",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-02-29T12:22:12.245328Z",
     "iopub.status.busy": "2024-02-29T12:22:12.245054Z",
     "iopub.status.idle": "2024-02-29T12:22:13.361581Z",
     "shell.execute_reply": "2024-02-29T12:22:13.360404Z"
    },
    "lines_to_next_cell": 0
   },
   "outputs": [],
   "source": [
    "import numpy\n",
    "from matplotlib import pyplot\n",
    "from dune.alugrid import aluSimplexGrid as leafGridView\n",
    "from dune.grid import OutputType, reader\n",
    "from dune.fem.space import lagrange as solutionSpace\n",
    "from dune.fem.scheme import galerkin as solutionScheme\n",
    "from ufl import TestFunction, TrialFunction, SpatialCoordinate\n",
    "from ufl import dx, grad, grad, dot, inner, conditional, sin"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "63a8c6c5",
   "metadata": {
    "lines_to_next_cell": 0
   },
   "source": [
    ".. index:: Grid construction; DGF\n",
    "\n",
    "## Example using the Dune Grid Format (DGF)\n",
    "\n",
    "Please read the [Dune Grid Format (DGF)](https://dune-project.org/doxygen/master/group__DuneGridFormatParser.html#details) for a detailed description of DGF.\n",
    "The format works for 2d or 3d and most DUNE grids can be constructed using a DGF file.\n",
    "The format allows easy description of boundary ids (see below) and parameters.\n",
    "See the section about [boundary conditions](boundary_nb.ipynb) to learn how to\n",
    "use these in a weak form.\n",
    "\n",
    ".. note:: The DGF is ASCII based and thus only meant for prototyping and\n",
    "testing. For serious computations use `meshio` or the [pickling approach](backuprestore_nb.ipynb).\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "ffe8288b",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-02-29T12:22:13.366600Z",
     "iopub.status.busy": "2024-02-29T12:22:13.366327Z",
     "iopub.status.idle": "2024-02-29T12:26:06.347839Z",
     "shell.execute_reply": "2024-02-29T12:26:06.347231Z"
    }
   },
   "outputs": [
    {
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",
      "text/plain": [
       "<Figure size 250x250 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "domain2d = (reader.dgf, \"triangle.dgf\")\n",
    "\n",
    "# specify dimgrid since it cannot be easily extracted from the dgf file\n",
    "aluView = leafGridView(domain2d, dimgrid=2)\n",
    "aluView.plot(figsize=(5,5))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "63c4f4f0",
   "metadata": {},
   "source": [
    "\n",
    ".. index:: Grid construction; gmsh (from file)\n",
    "\n",
    "There is also a `reader.gmsh` option allowing previously stored `gmsh` files to be\n",
    "read. The grid is the one used in the [wave equation](wave_nb.ipynb) example."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "7569f9fe",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-02-29T12:26:06.350585Z",
     "iopub.status.busy": "2024-02-29T12:26:06.350375Z",
     "iopub.status.idle": "2024-02-29T12:26:07.844009Z",
     "shell.execute_reply": "2024-02-29T12:26:07.842890Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/jpeg": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "waveDomain = (reader.gmsh, \"wave_tank.msh\")\n",
    "waveGrid = leafGridView(waveDomain, dimgrid=2)\n",
    "waveGrid.plot(figure=pyplot.figure(figsize=(10,10)))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "851e9fa7",
   "metadata": {},
   "source": [
    "\n",
    ".. index:: Grid construction; pygmsh\n",
    "\n",
    "## 3D example (using PyGmsh)\n",
    "In this example we use **pygmsh** to construct a tetrahedral mesh and solve a\n",
    "simple Laplace problem.\n",
    "The following code is taken from the **pygmsh** homepage."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "c64d6ec9",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-02-29T12:26:07.849648Z",
     "iopub.status.busy": "2024-02-29T12:26:07.849434Z",
     "iopub.status.idle": "2024-02-29T12:27:04.347073Z",
     "shell.execute_reply": "2024-02-29T12:27:04.345750Z"
    }
   },
   "outputs": [],
   "source": [
    "try:\n",
    "    import pygmsh\n",
    "    with pygmsh.geo.Geometry() as geom:\n",
    "        poly = geom.add_polygon([\n",
    "              [ 0.0,  0.5, 0.0], [-0.1,  0.1, 0.0], [-0.5,  0.0, 0.0],\n",
    "              [-0.1, -0.1, 0.0], [ 0.0, -0.5, 0.0], [ 0.1, -0.1, 0.0],\n",
    "              [ 0.5,  0.0, 0.0], [ 0.1,  0.1, 0.0] ], mesh_size=0.05)\n",
    "        geom.twist(\n",
    "            poly,\n",
    "            translation_axis=[0, 0, 1], rotation_axis=[0, 0, 1], point_on_axis=[0, 0, 0],\n",
    "            angle=numpy.pi / 3,\n",
    "        )\n",
    "        mesh = geom.generate_mesh(verbose=False)\n",
    "\n",
    "    points, cells = mesh.points, mesh.cells_dict\n",
    "    domain3d = {\"vertices\":points.astype(\"float\"), \"simplices\":cells[\"tetra\"]}\n",
    "except ImportError: # pygmsh not installed - use a simple cartesian domain\n",
    "    print(\"pygmsh module not found using a simple Cartesian domain - ignored\")\n",
    "    from dune.grid import cartesianDomain\n",
    "    domain3d = cartesianDomain([-0.25,-0.25,0],[0.25,0.25,1],[30,30,60])\n",
    "\n",
    "gridView3d  = leafGridView(domain3d)\n",
    "space3d = solutionSpace(gridView3d, order=1)\n",
    "\n",
    "u = TrialFunction(space3d)\n",
    "v = TestFunction(space3d)\n",
    "x = SpatialCoordinate(space3d)\n",
    "scheme3d = solutionScheme((inner(grad(u),grad(v))+inner(u,v))*dx ==\n",
    "                        conditional(dot(x,x)<.01,100,0)*v*dx,\n",
    "                        solver='cg')\n",
    "\n",
    "uh3d = space3d.interpolate([0],name=\"solution\")\n",
    "scheme3d.solve(target=uh3d)\n",
    "# note: plotting with matplotlib not yet available for 3d grids\n",
    "gridView3d.writeVTK('3dexample', pointdata=[uh3d],\n",
    "                    outputType=OutputType.appendedraw)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ee16d163",
   "metadata": {},
   "source": [
    "![3d laplace problem](figures/3dexample.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7ce2818c",
   "metadata": {
    "lines_to_next_cell": 0
   },
   "source": [
    "\n",
    ".. index:: Grid construction; gmsh2dgf (from Python)\n",
    "\n",
    "## Converting gmsh to DGF\n",
    "\n",
    "Using the above convenient way of generating grids\n",
    "in Python we can then store those as DGF which allows to\n",
    "add boundary ids of vertex and element parameters\n",
    "in a simple way. Use `gmsh2DGF` from\n",
    "[gmsh2dgf](gmsh2dgf_nb.ipynb) to convert the above `points` and `cells`\n",
    "to a string which can be read by `reader.dgfString`.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "0382dbba",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-02-29T12:27:04.352627Z",
     "iopub.status.busy": "2024-02-29T12:27:04.352215Z",
     "iopub.status.idle": "2024-02-29T12:27:04.531927Z",
     "shell.execute_reply": "2024-02-29T12:27:04.530651Z"
    }
   },
   "outputs": [],
   "source": [
    "from gmsh2dgf import gmsh2DGF\n",
    "from dune.grid import reader\n",
    "\n",
    "dgf = gmsh2DGF(points, cells)\n",
    "domain3d = (reader.dgfString, dgf)\n",
    "gridView3d  = leafGridView(domain3d, dimgrid=3)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4e3cca09",
   "metadata": {},
   "source": [
    "\n",
    ".. tip:: Store the DGF mesh to a file for later reuse with `reader.dgf`, see\n",
    "above."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "26571371",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-02-29T12:27:04.538067Z",
     "iopub.status.busy": "2024-02-29T12:27:04.537091Z",
     "iopub.status.idle": "2024-02-29T12:27:04.543534Z",
     "shell.execute_reply": "2024-02-29T12:27:04.542459Z"
    }
   },
   "outputs": [],
   "source": [
    "with open (\"3dmesh.dgf\", \"w\") as file:\n",
    "    file.write(dgf)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2c52d657",
   "metadata": {},
   "source": [
    "\n",
    ".. index:: Grid construction; Boundary Ids\n",
    "\n",
    "\n",
    "### Attaching boundary ids to a grid constructed with gmsh using DGF\n",
    "\n",
    "The [Dune Grid Format (DGF)](https://dune-project.org/doxygen/master/group__DuneGridFormatParser.html#details) allows\n",
    "to either specify `BoundarySegments` or a `BoundaryDomain`. Boundary segments require to specify a boundary id\n",
    "for a selection of intersections of an element with the boundary,\n",
    "e.g. a collection of edges of triangles located on the boundary. For testing\n",
    "and prototyping it is very convenient to use the boundary domain approach\n",
    "instead, where for each boundary id (short: `bnd id`) a bounding box is described and each\n",
    "boundary segment that is found inside this box is assigned the `bnd id`. This\n",
    "approach also allows to specify a default value which is assigned to all\n",
    "segments not found in any of the specified boxes. This approach works in 2d as\n",
    "well as 3d.\n",
    "\n",
    ".. tip:: Specify the bounding box for simple boundaries such as outer walls\n",
    "and straight lines and surfaces and use the default value to mark\n",
    "a particularly complex boundary in the interior."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "5d9a95f8",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-02-29T12:27:04.548415Z",
     "iopub.status.busy": "2024-02-29T12:27:04.547761Z",
     "iopub.status.idle": "2024-02-29T12:27:04.710510Z",
     "shell.execute_reply": "2024-02-29T12:27:04.709414Z"
    },
    "lines_to_next_cell": 0
   },
   "outputs": [],
   "source": [
    "try:\n",
    "    with pygmsh.occ.Geometry() as geom:\n",
    "\n",
    "        # Define domain\n",
    "        L = 1; H = 1\n",
    "        # circles\n",
    "        c = 0.2; r = 0.05\n",
    "\n",
    "        # Grid size function\n",
    "        def size(dim, tag, x, y, z, lc):\n",
    "            resolution = 0.06\n",
    "            d = ((x - c)**2 + (y - c)**2)**0.5\n",
    "            if d < 3 * r:\n",
    "                return 0.25*resolution\n",
    "\n",
    "            d = ((x - (1-c))**2 + (y - (1-c))**2)**0.5\n",
    "            if d < 3 * r:\n",
    "                return 0.25*resolution\n",
    "\n",
    "            # default is a coarser mesh\n",
    "            return resolution\n",
    "\n",
    "        # create rectangle and circles\n",
    "        rectangle = geom.add_rectangle([0, 0, 0], L, H)\n",
    "        obs1 = geom.add_ball([c, c, 0], r)\n",
    "        obs2 = geom.add_ball([1-c, 1-c, 0], r)\n",
    "        # subtract the two obstacles from the volume to create holes\n",
    "        geom.boolean_difference(rectangle, [obs1, obs2])\n",
    "        geom.set_mesh_size_callback(size)\n",
    "        mesh = geom.generate_mesh(dim=2)\n",
    "\n",
    "        eps = 0.01 # tolerance\n",
    "        # lower left circle min and max\n",
    "        c1 = [c - r - eps, c + r + eps]\n",
    "        # upper right circle min and max\n",
    "        c2 = [(1-c) - r - eps, (1-c) + r + eps]\n",
    "\n",
    "        # dictionary containing id and a list containing the lower left and upper right corner of the bounding box\n",
    "        bndDomain = {1: [[-1.0 , -1.0 ], [0.0  , H+0.1]], # bounding box inflow\n",
    "                     2: [[   L , -1.0 ], [L+1.0, H+0.1]], # bounding box outflow\n",
    "                     4: [[c1[0], c1[0]], [c1[1], c1[1]]], # bounding box lower left circle\n",
    "                     5: [[c2[0], c2[0]], [c2[1], c2[1]]], # bounding box upper right circle\n",
    "                     3: \"default\"  # top and bottom wall,\n",
    "                     # which are all other segments not contained in the above bounding boxes\n",
    "                    }\n",
    "\n",
    "        # return dgf string which can be read by DGF parser or written to file for later use\n",
    "        dgf = gmsh2DGF(mesh.points, mesh.cells_dict, bndDomain=bndDomain, dim=2)\n",
    "        domain2d = (reader.dgfString, dgf)\n",
    "except ImportError: # pygmsh not installed - use a simple cartesian domain\n",
    "    print(\"pygmsh module not found using a simple Cartesian domain - ignored\")\n",
    "    from dune.grid import cartesianDomain\n",
    "    domain2d = cartesianDomain([-0.25,-0.25],[0.25,0.25],[30,30])\n",
    "\n",
    "gridView2d = leafGridView(domain2d, dimgrid=2)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c0a142a3",
   "metadata": {},
   "source": [
    "\n",
    ".. index:: Grid construction; Visualize boundary Ids\n",
    "\n",
    "### Visualizing Boundary Ids\n",
    "\n",
    "After construction of a grid we can visualize boundary ids\n",
    "by assigning a piecewise constant function to hold the value of adjacent\n",
    "boundaries. This is not necessarily unique but works in most cases.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "f8a4c19a",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-02-29T12:27:04.715819Z",
     "iopub.status.busy": "2024-02-29T12:27:04.715575Z",
     "iopub.status.idle": "2024-02-29T12:29:05.035425Z",
     "shell.execute_reply": "2024-02-29T12:29:05.034213Z"
    }
   },
   "outputs": [
    {
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",
      "text/plain": [
       "<Figure size 320x240 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from gmsh2dgf import projectBoundaryIds\n",
    "\n",
    "bndIds = projectBoundaryIds( gridView2d )\n",
    "bndIds.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2e688375",
   "metadata": {
    "lines_to_next_cell": 0
   },
   "source": [
    "\n",
    ".. index:: Grid construction; meshio\n",
    "\n",
    "## Using `meshio` to read a gmsh file\n",
    "\n",
    "We will use the `meshio` package to read a gmsh file, extract the points\n",
    "and cells and use that to construct a Dune grid. The final part is then\n",
    "quite similar to the above. We use the 2D grid from the\n",
    "[wave equation](wave_nb.ipynb) test case. Note that this is a 2D grid but the points are\n",
    "returned as 3D points so we need to remove the final columns containing\n",
    "only zeros. We have already seen this grid above so let's zoom in to the\n",
    "'slit' region...\n",
    "\n",
    ".. todo:: Add a way to describe boundary data when using `meshio`.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "5f24a08b",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-02-29T12:29:05.038377Z",
     "iopub.status.busy": "2024-02-29T12:29:05.038159Z",
     "iopub.status.idle": "2024-02-29T12:29:06.572798Z",
     "shell.execute_reply": "2024-02-29T12:29:06.571538Z"
    },
    "lines_to_next_cell": 2
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "data": {
      "image/jpeg": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "try:\n",
    "    import numpy as np\n",
    "    import meshio\n",
    "    mesh = meshio.read(\"wave_tank.msh\")\n",
    "    points = np.delete( mesh.points, 2, 1) # remove the z component from the points\n",
    "    cells = mesh.cells_dict\n",
    "    waveDomain = {\"vertices\":points.astype(\"float\"), \"simplices\":cells[\"triangle\"]}\n",
    "    waveGrid = leafGridView(waveDomain)\n",
    "    waveGrid.plot(figure=pyplot.figure(figsize=(10,10)),xlim=[0.3,1.7],ylim=[-0.2,1.2])\n",
    "except ImportError:\n",
    "    print(\"This example requires the meshio package which can be installed using pip.\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bec87b8b",
   "metadata": {},
   "source": [
    "\n",
    ".. index:: Grid construction; meshio (quadrilateral grids)\n",
    "\n",
    "Here is a second example where we want to read a gmsh containing\n",
    "quadrilateral elements. Note that the vertices of the cells are ordered\n",
    "counterclockwise which is not identical to the ordering required by the\n",
    "[Dune reference element](https://www.dune-project.org/doxygen/2.5.0/group__GeometryReferenceElements.html).\n",
    "The last two vertices need to be exchanged:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "a0c8d2a2",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-02-29T12:29:06.576648Z",
     "iopub.status.busy": "2024-02-29T12:29:06.576433Z",
     "iopub.status.idle": "2024-02-29T12:29:06.716332Z",
     "shell.execute_reply": "2024-02-29T12:29:06.715268Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "data": {
      "image/jpeg": 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",
      "text/plain": [
       "<Figure size 320x240 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "if meshio:\n",
    "    from dune.alugrid import aluCubeGrid\n",
    "    mesh = meshio.read(\"quads.msh\")\n",
    "    points2d = np.delete(mesh.points,2,1)\n",
    "    cells = mesh.cells_dict['quad']\n",
    "    cells[:, [2, 3]] = cells[:, [3, 2]]\n",
    "    domain = {\"vertices\":points2d, \"cubes\":cells}\n",
    "    quadGrid  = aluCubeGrid(domain)\n",
    "    quadGrid.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1a705966",
   "metadata": {},
   "source": [
    "\n",
    "## 1D example\n",
    "It's also possible to create grids in 1D"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "ea42181f",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-02-29T12:29:06.719075Z",
     "iopub.status.busy": "2024-02-29T12:29:06.718866Z",
     "iopub.status.idle": "2024-02-29T12:31:29.041282Z",
     "shell.execute_reply": "2024-02-29T12:31:29.040213Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/jpeg": 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      "text/plain": [
       "<Figure size 320x240 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from dune.grid import onedGrid\n",
    "v = [numpy.log(i) for i in range(1,100)]\n",
    "e = [(i,i+1) for i in range(1,len(v))]\n",
    "g = onedGrid(constructor={\"vertices\":v, \"simplices\":e})\n",
    "s = solutionSpace(g)\n",
    "x = SpatialCoordinate(s)\n",
    "u = s.interpolate(sin(x[0]), name=\"u\")\n",
    "u.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d73764e9",
   "metadata": {},
   "source": [
    "pyplot can very easily be used in 1d using the ``tessellate`` method on\n",
    "the grid which will be described in more detail in the section about the\n",
    "bindings for the full [dune grid interface](dune-corepy_nb.ipynb)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "04ccb075",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-02-29T12:31:29.046275Z",
     "iopub.status.busy": "2024-02-29T12:31:29.046065Z",
     "iopub.status.idle": "2024-02-29T12:31:29.295996Z",
     "shell.execute_reply": "2024-02-29T12:31:29.294935Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f016e27c1f0>]"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/jpeg": 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      "text/plain": [
       "<Figure size 320x240 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pyplot.plot(g.tessellate()[0], u.pointData(), '-p')"
   ]
  }
 ],
 "metadata": {
  "jupytext": {
   "cell_metadata_filter": "-all"
  },
  "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": "3.10.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}