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      },
      {
        "__type": "Code",
        "__tag": 4050,
        "value": "tri.simplices\n",
        "execution_status": "failure"
      },
      {
        "__type": "Text",
        "__tag": 4046,
        "value": "\nNote that depending on how rounding errors go, the simplices may\nbe in a different order than above.\n\n"
      },
      {
        "__type": "Code",
        "__tag": 4050,
        "value": "points[tri.simplices]\n",
        "execution_status": "failure"
      },
      {
        "__type": "Text",
        "__tag": 4046,
        "value": "\nTriangle 0 is the only neighbor of triangle 1, and it's opposite to\nvertex 1 of triangle 1:\n\n"
      },
      {
        "__type": "Code",
        "__tag": 4050,
        "value": "tri.neighbors[1]\n",
        "execution_status": "success"
      },
      {
        "__type": "Code",
        "__tag": 4050,
        "value": "points[tri.simplices[1,1]]\n",
        "execution_status": "failure"
      },
      {
        "__type": "Text",
        "__tag": 4046,
        "value": "\nWe can find out which triangle points are in:\n\n"
      },
      {
        "__type": "Code",
        "__tag": 4050,
        "value": "p = np.array([(0.1, 0.2), (1.5, 0.5), (0.5, 1.05)])\n",
        "execution_status": "success"
      },
      {
        "__type": "Code",
        "__tag": 4050,
        "value": "tri.find_simplex(p)\n",
        "execution_status": "failure"
      },
      {
        "__type": "Text",
        "__tag": 4046,
        "value": "\nThe returned integers in the array are the indices of the simplex the\ncorresponding point is in. If -1 is returned, the point is in no simplex.\nBe aware that the shortcut in the following example only works correctly\nfor valid points as invalid points result in -1 which is itself a valid\nindex for the last simplex in the list.\n\n"
      },
      {
        "__type": "Code",
        "__tag": 4050,
        "value": "p_valids = np.array([(0.1, 0.2), (0.5, 1.05)])\n",
        "execution_status": "success"
      },
      {
        "__type": "Code",
        "__tag": 4050,
        "value": "tri.simplices[tri.find_simplex(p_valids)]\n",
        "execution_status": "failure"
      },
      {
        "__type": "Text",
        "__tag": 4046,
        "value": "\nWe can also compute barycentric coordinates in triangle 1 for\nthese points:\n\n"
      },
      {
        "__type": "Code",
        "__tag": 4050,
        "value": "b = tri.transform[1,:2].dot(np.transpose(p - tri.transform[1,2]))\n",
        "execution_status": "success"
      },
      {
        "__type": "Code",
        "__tag": 4050,
        "value": "np.c_[np.transpose(b), 1 - b.sum(axis=0)]\n",
        "execution_status": "failure"
      },
      {
        "__type": "Text",
        "__tag": 4046,
        "value": "\nThe coordinates for the first point are all positive, meaning it\nis indeed inside the triangle. The third point is on an edge,\nhence its null third coordinate."
      }
    ],
    "title": [],
    "level": 0,
    "target": null
  },
  "see_also": [],
  "signature": {
    "__type": "SignatureNode",
    "__tag": 4029,
    "kind": "function",
    "parameters": [
      {
        "__type": "SigParam",
        "__tag": 4030,
        "name": "points",
        "annotation": {
          "__type": "Empty",
          "__tag": 4031
        },
        "kind": "POSITIONAL_OR_KEYWORD",
        "default": {
          "__type": "Empty",
          "__tag": 4031
        }
      },
      {
        "__type": "SigParam",
        "__tag": 4030,
        "name": "furthest_site",
        "annotation": {
          "__type": "Empty",
          "__tag": 4031
        },
        "kind": "POSITIONAL_OR_KEYWORD",
        "default": "False"
      },
      {
        "__type": "SigParam",
        "__tag": 4030,
        "name": "incremental",
        "annotation": {
          "__type": "Empty",
          "__tag": 4031
        },
        "kind": "POSITIONAL_OR_KEYWORD",
        "default": "False"
      },
      {
        "__type": "SigParam",
        "__tag": 4030,
        "name": "qhull_options",
        "annotation": {
          "__type": "Empty",
          "__tag": 4031
        },
        "kind": "POSITIONAL_OR_KEYWORD",
        "default": "None"
      }
    ],
    "return_annotation": {
      "__type": "Empty",
      "__tag": 4031
    },
    "target_name": "Delaunay"
  },
  "references": null,
  "qa": "scipy.spatial._qhull:Delaunay",
  "arbitrary": [],
  "local_refs": [
    "convex_hull",
    "coplanar",
    "equations",
    "furthest_site",
    "incremental",
    "neighbors",
    "paraboloid_scale",
    "paraboloid_shift",
    "points",
    "qhull_options",
    "simplices",
    "transform",
    "vertex_neighbor_vertices",
    "vertex_to_simplex"
  ]
}