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#: ../../source/reference/tensor/generated/mars.tensor.fft.irfft.rst:2
msgid "mars.tensor.fft.irfft"
msgstr ""

#: mars.tensor.fft.irfft:1 of
msgid "Compute the inverse of the n-point DFT for real input."
msgstr ""

#: mars.tensor.fft.irfft:3 of
msgid ""
"This function computes the inverse of the one-dimensional *n*-point "
"discrete Fourier Transform of real input computed by `rfft`. In other "
"words, ``irfft(rfft(a), len(a)) == a`` to within numerical accuracy. (See"
" Notes below for why ``len(a)`` is necessary here.)"
msgstr ""

#: mars.tensor.fft.irfft:8 of
msgid ""
"The input is expected to be in the form returned by `rfft`, i.e. the real"
" zero-frequency term followed by the complex positive frequency terms in "
"order of increasing frequency.  Since the discrete Fourier Transform of "
"real input is Hermitian-symmetric, the negative frequency terms are taken"
" to be the complex conjugates of the corresponding positive frequency "
"terms."
msgstr ""

#: mars.tensor.fft.irfft of
msgid "Parameters"
msgstr ""

#: mars.tensor.fft.irfft:14 of
msgid "The input tensor."
msgstr ""

#: mars.tensor.fft.irfft:16 of
msgid ""
"Length of the transformed axis of the output. For `n` output points, "
"``n//2+1`` input points are necessary.  If the input is longer than this,"
" it is cropped.  If it is shorter than this, it is padded with zeros.  If"
" `n` is not given, it is determined from the length of the input along "
"the axis specified by `axis`."
msgstr ""

#: mars.tensor.fft.irfft:22 of
msgid ""
"Axis over which to compute the inverse FFT. If not given, the last axis "
"is used."
msgstr ""

#: mars.tensor.fft.irfft:25 of
msgid "Normalization mode (see `mt.fft`). Default is None."
msgstr ""

#: mars.tensor.fft.irfft of
msgid "Returns"
msgstr ""

#: mars.tensor.fft.irfft:28 of
msgid ""
"**out** -- The truncated or zero-padded input, transformed along the axis"
" indicated by `axis`, or the last one if `axis` is not specified. The "
"length of the transformed axis is `n`, or, if `n` is not given, "
"``2*(m-1)`` where ``m`` is the length of the transformed axis of the "
"input. To get an odd number of output points, `n` must be specified."
msgstr ""

#: mars.tensor.fft.irfft of
msgid "Return type"
msgstr ""

#: mars.tensor.fft.irfft of
msgid "Raises"
msgstr ""

#: mars.tensor.fft.irfft:35 of
msgid "If `axis` is larger than the last axis of `a`."
msgstr ""

#: mars.tensor.fft.irfft:40 of
msgid ":func:`mt.fft`"
msgstr ""

#: mars.tensor.fft.irfft:40 of
msgid "For definition of the DFT and conventions used."
msgstr ""

#: mars.tensor.fft.irfft:43 of
msgid ":func:`rfft`"
msgstr ""

#: mars.tensor.fft.irfft:43 of
msgid "The one-dimensional FFT of real input, of which `irfft` is inverse."
msgstr ""

#: mars.tensor.fft.irfft:46 of
msgid ":func:`fft`"
msgstr ""

#: mars.tensor.fft.irfft:46 of
msgid "The one-dimensional FFT."
msgstr ""

#: mars.tensor.fft.irfft:49 of
msgid ":func:`irfft2`"
msgstr ""

#: mars.tensor.fft.irfft:49 of
msgid "The inverse of the two-dimensional FFT of real input."
msgstr ""

#: mars.tensor.fft.irfft:51 of
msgid ":func:`irfftn`"
msgstr ""

#: mars.tensor.fft.irfft:52 of
msgid "The inverse of the *n*-dimensional FFT of real input."
msgstr ""

#: mars.tensor.fft.irfft:55 of
msgid "Notes"
msgstr ""

#: mars.tensor.fft.irfft:56 of
msgid ""
"Returns the real valued `n`-point inverse discrete Fourier transform of "
"`a`, where `a` contains the non-negative frequency terms of a Hermitian-"
"symmetric sequence. `n` is the length of the result, not the input."
msgstr ""

#: mars.tensor.fft.irfft:61 of
msgid ""
"If you specify an `n` such that `a` must be zero-padded or truncated, the"
" extra/removed values will be added/removed at high frequencies. One can "
"thus resample a series to `m` points via Fourier interpolation by: "
"``a_resamp = irfft(rfft(a), m)``."
msgstr ""

#: mars.tensor.fft.irfft:67 of
msgid "Examples"
msgstr ""

#: mars.tensor.fft.irfft:75 of
msgid ""
"Notice how the last term in the input to the ordinary `ifft` is the "
"complex conjugate of the second term, and the output has zero imaginary "
"part everywhere.  When calling `irfft`, the negative frequencies are not "
"specified, and the output array is purely real."
msgstr ""

