{
  "__type": "IngestedDoc",
  "__tag": 4010,
  "_content": {
    "Notes": {
      "__type": "Section",
      "__tag": 4015,
      "children": [
        {
          "__type": "Paragraph",
          "__tag": 4045,
          "children": [
            {
              "__type": "Text",
              "__tag": 4046,
              "value": "See "
            },
            {
              "__type": "InlineRole",
              "__tag": 4003,
              "value": "numpy.polynomial.chebinterpolate",
              "domain": null,
              "role": null,
              "inventory": null
            },
            {
              "__type": "Text",
              "__tag": 4046,
              "value": " for more details."
            }
          ]
        }
      ],
      "title": [],
      "level": 0,
      "target": null
    },
    "Warns": {
      "__type": "Section",
      "__tag": 4015,
      "children": [],
      "title": [],
      "level": 0,
      "target": null
    },
    "Raises": {
      "__type": "Section",
      "__tag": 4015,
      "children": [],
      "title": [],
      "level": 0,
      "target": null
    },
    "Yields": {
      "__type": "Section",
      "__tag": 4015,
      "children": [],
      "title": [],
      "level": 0,
      "target": null
    },
    "Methods": {
      "__type": "Section",
      "__tag": 4015,
      "children": [],
      "title": [],
      "level": 0,
      "target": null
    },
    "Returns": {
      "__type": "Section",
      "__tag": 4015,
      "children": [
        {
          "__type": "Parameters",
          "__tag": 4026,
          "children": [
            {
              "__type": "DocParam",
              "__tag": 4016,
              "name": "polynomial",
              "annotation": "Chebyshev instance",
              "desc": [
                {
                  "__type": "Paragraph",
                  "__tag": 4045,
                  "children": [
                    {
                      "__type": "Text",
                      "__tag": 4046,
                      "value": "Interpolating Chebyshev instance."
                    }
                  ]
                }
              ]
            }
          ]
        }
      ],
      "title": [],
      "level": 0,
      "target": null
    },
    "Summary": {
      "__type": "Section",
      "__tag": 4015,
      "children": [
        {
          "__type": "Paragraph",
          "__tag": 4045,
          "children": [
            {
              "__type": "Text",
              "__tag": 4046,
              "value": "Interpolate a function at the Chebyshev points of the first kind."
            }
          ]
        }
      ],
      "title": [],
      "level": 0,
      "target": null
    },
    "Receives": {
      "__type": "Section",
      "__tag": 4015,
      "children": [],
      "title": [],
      "level": 0,
      "target": null
    },
    "Warnings": {
      "__type": "Section",
      "__tag": 4015,
      "children": [],
      "title": [],
      "level": 0,
      "target": null
    },
    "Attributes": {
      "__type": "Section",
      "__tag": 4015,
      "children": [],
      "title": [],
      "level": 0,
      "target": null
    },
    "Parameters": {
      "__type": "Section",
      "__tag": 4015,
      "children": [
        {
          "__type": "Parameters",
          "__tag": 4026,
          "children": [
            {
              "__type": "DocParam",
              "__tag": 4016,
              "name": "func",
              "annotation": "function",
              "desc": [
                {
                  "__type": "Paragraph",
                  "__tag": 4045,
                  "children": [
                    {
                      "__type": "Text",
                      "__tag": 4046,
                      "value": "The function to be interpolated. It must be a function of a single variable of the form "
                    },
                    {
                      "__type": "InlineCode",
                      "__tag": 4051,
                      "value": "f(x, a, b, c...)"
                    },
                    {
                      "__type": "Text",
                      "__tag": 4046,
                      "value": ", where "
                    },
                    {
                      "__type": "InlineCode",
                      "__tag": 4051,
                      "value": "a, b, c..."
                    },
                    {
                      "__type": "Text",
                      "__tag": 4046,
                      "value": " are extra arguments passed in the "
                    },
                    {
                      "__type": "CrossRef",
                      "__tag": 4002,
                      "value": "args",
                      "reference": {
                        "__type": "RefInfo",
                        "__tag": 4000,
                        "module": null,
                        "version": null,
                        "kind": "local",
                        "path": "args"
                      },
                      "kind": "local"
                    },
                    {
                      "__type": "Text",
                      "__tag": 4046,
                      "value": " parameter."
                    }
                  ]
                }
              ]
            },
            {
              "__type": "DocParam",
              "__tag": 4016,
              "name": "deg",
              "annotation": "int",
              "desc": [
                {
                  "__type": "Paragraph",
                  "__tag": 4045,
                  "children": [
                    {
                      "__type": "Text",
                      "__tag": 4046,
                      "value": "Degree of the interpolating polynomial."
                    }
                  ]
                }
              ]
            },
            {
              "__type": "DocParam",
              "__tag": 4016,
              "name": "domain",
              "annotation": "{None, [beg, end]}, optional",
              "desc": [
                {
                  "__type": "Paragraph",
                  "__tag": 4045,
                  "children": [
                    {
                      "__type": "Text",
                      "__tag": 4046,
                      "value": "Domain over which "
                    },
                    {
                      "__type": "CrossRef",
                      "__tag": 4002,
                      "value": "func",
                      "reference": {
                        "__type": "RefInfo",
                        "__tag": 4000,
                        "module": null,
                        "version": null,
                        "kind": "local",
                        "path": "func"
                      },
                      "kind": "local"
                    },
                    {
                      "__type": "Text",
                      "__tag": 4046,
                      "value": " is interpolated. The default is None, in which case the domain is [-1, 1]."
                    }
                  ]
                }
              ]
            },
            {
              "__type": "DocParam",
              "__tag": 4016,
              "name": "args",
              "annotation": "tuple, optional",
              "desc": [
                {
                  "__type": "Paragraph",
                  "__tag": 4045,
                  "children": [
                    {
                      "__type": "Text",
                      "__tag": 4046,
                      "value": "Extra arguments to be used in the function call. Default is no extra arguments."
                    }
                  ]
                }
              ]
            }
          ]
        }
      ],
      "title": [],
      "level": 0,
      "target": null
    },
    "Extended Summary": {
      "__type": "Section",
      "__tag": 4015,
      "children": [
        {
          "__type": "Paragraph",
          "__tag": 4045,
          "children": [
            {
              "__type": "Text",
              "__tag": 4046,
              "value": "Returns the series that interpolates "
            },
            {
              "__type": "CrossRef",
              "__tag": 4002,
              "value": "func",
              "reference": {
                "__type": "RefInfo",
                "__tag": 4000,
                "module": null,
                "version": null,
                "kind": "local",
                "path": "func"
              },
              "kind": "local"
            },
            {
              "__type": "Text",
              "__tag": 4046,
              "value": " at the Chebyshev points of the first kind scaled and shifted to the "
            },
            {
              "__type": "CrossRef",
              "__tag": 4002,
              "value": "domain",
              "reference": {
                "__type": "RefInfo",
                "__tag": 4000,
                "module": null,
                "version": null,
                "kind": "local",
                "path": "domain"
              },
              "kind": "local"
            },
            {
              "__type": "Text",
              "__tag": 4046,
              "value": ". The resulting series tends to a minmax approximation of "
            },
            {
              "__type": "CrossRef",
              "__tag": 4002,
              "value": "func",
              "reference": {
                "__type": "RefInfo",
                "__tag": 4000,
                "module": null,
                "version": null,
                "kind": "local",
                "path": "func"
              },
              "kind": "local"
            },
            {
              "__type": "Text",
              "__tag": 4046,
              "value": " when the function is continuous in the domain."
            }
          ]
        }
      ],
      "title": [],
      "level": 0,
      "target": null
    },
    "Other Parameters": {
      "__type": "Section",
      "__tag": 4015,
      "children": [],
      "title": [],
      "level": 0,
      "target": null
    }
  },
  "_ordered_sections": [
    "Summary",
    "Extended Summary",
    "Parameters",
    "Attributes",
    "Methods",
    "Returns",
    "Yields",
    "Receives",
    "Other Parameters",
    "Raises",
    "Warns",
    "Warnings",
    "Notes"
  ],
  "item_file": "/numpy/polynomial/chebyshev.py",
  "item_line": 1958,
  "item_type": "classmethod",
  "aliases": [
    "numpy.polynomial.Chebyshev.interpolate"
  ],
  "example_section_data": {
    "__type": "Section",
    "__tag": 4015,
    "children": [],
    "title": [],
    "level": 0,
    "target": null
  },
  "see_also": [],
  "signature": null,
  "references": null,
  "qa": "numpy.polynomial.chebyshev:Chebyshev.interpolate",
  "arbitrary": [],
  "local_refs": [
    "args",
    "deg",
    "domain",
    "func",
    "polynomial"
  ]
}