{
  "__type": "IngestedDoc",
  "__tag": 4010,
  "_content": {
    "Notes": {
      "__type": "Section",
      "__tag": 4015,
      "children": [],
      "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": [],
      "title": [],
      "level": 0,
      "target": null
    },
    "Summary": {
      "__type": "Section",
      "__tag": 4015,
      "children": [
        {
          "__type": "Paragraph",
          "__tag": 4045,
          "children": [
            {
              "__type": "Text",
              "__tag": 4046,
              "value": "No Docstrings"
            }
          ]
        }
      ],
      "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": [],
      "title": [],
      "level": 0,
      "target": null
    },
    "Extended Summary": {
      "__type": "Section",
      "__tag": 4015,
      "children": [],
      "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": "/scipy/fft/__init__.py",
  "item_line": 0,
  "item_type": "module",
  "aliases": [
    "scipy.fft"
  ],
  "example_section_data": {
    "__type": "Section",
    "__tag": 4015,
    "children": [],
    "title": [],
    "level": 0,
    "target": null
  },
  "see_also": [],
  "signature": null,
  "references": null,
  "qa": "scipy.fft",
  "arbitrary": [
    {
      "__type": "Section",
      "__tag": 4015,
      "children": [],
      "title": [
        {
          "__type": "Text",
          "__tag": 4046,
          "value": "Discrete Fourier transforms ("
        },
        {
          "__type": "InlineRole",
          "__tag": 4003,
          "value": "scipy.fft",
          "domain": null,
          "role": "mod",
          "inventory": null
        },
        {
          "__type": "Text",
          "__tag": 4046,
          "value": ")"
        }
      ],
      "level": 0,
      "target": null
    },
    {
      "__type": "Section",
      "__tag": 4015,
      "children": [
        {
          "__type": "Code",
          "__tag": 4050,
          "value": ".. autosummary:: \n    :toctree:generated/\n    fft - Fast (discrete) Fourier Transform (FFT)\n    ifft - Inverse FFT\n    fft2 - 2-D FFT\n    ifft2 - 2-D inverse FFT\n    fftn - N-D FFT\n    ifftn - N-D inverse FFT\n    rfft - FFT of strictly real-valued sequence\n    irfft - Inverse of rfft\n    rfft2 - 2-D FFT of real sequence\n    irfft2 - Inverse of rfft2\n    rfftn - N-D FFT of real sequence\n    irfftn - Inverse of rfftn\n    hfft - FFT of a Hermitian sequence (real spectrum)\n    ihfft - Inverse of hfft\n    hfft2 - 2-D FFT of a Hermitian sequence\n    ihfft2 - Inverse of hfft2\n    hfftn - N-D FFT of a Hermitian sequence\n    ihfftn - Inverse of hfftn",
          "execution_status": null
        }
      ],
      "title": [
        {
          "__type": "Text",
          "__tag": 4046,
          "value": "Fast Fourier Transforms (FFTs)"
        }
      ],
      "level": 1,
      "target": null
    },
    {
      "__type": "Section",
      "__tag": 4015,
      "children": [
        {
          "__type": "Code",
          "__tag": 4050,
          "value": ".. autosummary:: \n    :toctree:generated/\n    dct - Discrete cosine transform\n    idct - Inverse discrete cosine transform\n    dctn - N-D Discrete cosine transform\n    idctn - N-D Inverse discrete cosine transform\n    dst - Discrete sine transform\n    idst - Inverse discrete sine transform\n    dstn - N-D Discrete sine transform\n    idstn - N-D Inverse discrete sine transform",
          "execution_status": null
        }
      ],
      "title": [
        {
          "__type": "Text",
          "__tag": 4046,
          "value": "Discrete Sin and Cosine Transforms (DST and DCT)"
        }
      ],
      "level": 1,
      "target": null
    },
    {
      "__type": "Section",
      "__tag": 4015,
      "children": [
        {
          "__type": "Code",
          "__tag": 4050,
          "value": ".. autosummary:: \n    :toctree:generated/\n    fht - Fast Hankel transform\n    ifht - Inverse of fht",
          "execution_status": null
        }
      ],
      "title": [
        {
          "__type": "Text",
          "__tag": 4046,
          "value": "Fast Hankel Transforms"
        }
      ],
      "level": 1,
      "target": null
    },
    {
      "__type": "Section",
      "__tag": 4015,
      "children": [
        {
          "__type": "Code",
          "__tag": 4050,
          "value": ".. autosummary:: \n    :toctree:generated/\n    fftshift - Shift the zero-frequency component to the center of the spectrum\n    ifftshift - The inverse of `fftshift`\n    fftfreq - Return the Discrete Fourier Transform sample frequencies\n    rfftfreq - DFT sample frequencies (for usage with rfft, irfft)\n    fhtoffset - Compute an optimal offset for the Fast Hankel Transform\n    next_fast_len - Find the optimal length to zero-pad an FFT for speed\n    prev_fast_len - Find the maximum slice length that results in a fast FFT\n    set_workers - Context manager to set default number of workers\n    get_workers - Get the current default number of workers",
          "execution_status": null
        }
      ],
      "title": [
        {
          "__type": "Text",
          "__tag": 4046,
          "value": "Helper functions"
        }
      ],
      "level": 1,
      "target": null
    },
    {
      "__type": "Section",
      "__tag": 4015,
      "children": [
        {
          "__type": "Code",
          "__tag": 4050,
          "value": ".. autosummary:: \n    :toctree:generated/\n    set_backend - Context manager to set the backend within a fixed scope\n    skip_backend - Context manager to skip a backend within a fixed scope\n    set_global_backend - Sets the global fft backend\n    register_backend - Register a backend for permanent use",
          "execution_status": null
        }
      ],
      "title": [
        {
          "__type": "Text",
          "__tag": 4046,
          "value": "Backend control"
        }
      ],
      "level": 1,
      "target": null
    }
  ],
  "local_refs": []
}