mlx/docs/build/doctrees/python/fft.doctree

<EFBFBD><05>G<00>sphinx.addnodes<65><73>document<6E><74><EFBFBD>)<29><>}<7D>(<28>	rawsource<63><65><00><>children<65>]<5D>(<28>docutils.nodes<65><73>target<65><74><EFBFBD>)<29><>}<7D>(h<05>.. _fft:<3A>h]<5D><>
attributes<EFBFBD>}<7D>(<28>ids<64>]<5D><>classes<65>]<5D><>names<65>]<5D><>dupnames<65>]<5D><>backrefs<66>]<5D><>refid<69><64>fft<66>u<EFBFBD>tagname<6D>h
<EFBFBD>line<6E>K
<01>parent<6E>h<03>	_document<6E>h<03>source<63><65>3/Users/awnihannun/repos/mlx/docs/src/python/fft.rst<73>ubh	<09>section<6F><6E><EFBFBD>)<29><>}<7D>(hhh]<5D>(h	<09>title<6C><65><EFBFBD>)<29><>}<7D>(h<05>FFT<46>h]<5D>h	<09>Text<78><74><EFBFBD><EFBFBD>FFT<46><54><EFBFBD><EFBFBD><EFBFBD>}<7D>(h h+h!hh"NhNubah}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D>uhh)h h&h!hh"h#hKubh<00>tabular_col_spec<65><63><EFBFBD>)<29><>}<7D>(hhh]<5D>h}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D><>spec<65><63>\X{1}{2}\X{1}{2}<7D>uhh;h h&h!hh"<22>D/Users/awnihannun/repos/mlx/docs/src/python/fft.rst:22:<autosummary><3E>hNub<75>sphinx.ext.autosummary<72><79>autosummary_table<6C><65><EFBFBD>)<29><>}<7D>(hXe



fft(a[, n, axis, stream])

One dimensional discrete Fourier Transform.

ifft(a[, n, axis, stream])

One dimensional inverse discrete Fourier Transform.

fft2(a[, s, axes, stream])

Two dimensional discrete Fourier Transform.

ifft2(a[, s, axes, stream])

Two dimensional inverse discrete Fourier Transform.

fftn(a[, s, axes, stream])

n-dimensional discrete Fourier Transform.

ifftn(a[, s, axes, stream])

n-dimensional inverse discrete Fourier Transform.

rfft(a[, n, axis, stream])

One dimensional discrete Fourier Transform on a real input.

irfft(a[, n, axis, stream])

The inverse of rfft().

rfft2(a[, s, axes, stream])

Two dimensional real discrete Fourier Transform.

irfft2(a[, s, axes, stream])

The inverse of rfft2().

rfftn(a[, s, axes, stream])

n-dimensional real discrete Fourier Transform.

irfftn(a[, s, axes, stream])

The inverse of rfftn().<2E>h]<5D>h	<09>table<6C><65><EFBFBD>)<29><>}<7D>(hhh]<5D>h	<09>tgroup<75><70><EFBFBD>)<29><>}<7D>(hhh]<5D>(h	<09>colspec<65><63><EFBFBD>)<29><>}<7D>(hhh]<5D>h}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D><>colwidth<74>K
uhhZh hWubh[)<29><>}<7D>(hhh]<5D>h}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D><>colwidth<74>KZuhhZh hWubh	<09>tbody<64><79><EFBFBD>)<29><>}<7D>(hhh]<5D>(h	<09>row<6F><77><EFBFBD>)<29><>}<7D>(hhh]<5D>(h	<09>entry<72><79><EFBFBD>)<29><>}<7D>(hhh]<5D>h	<09>	paragraph<70><68><EFBFBD>)<29><>}<7D>(h<05>?:py:obj:`fft <mlx.core.fft.fft>`\ \(a\[\, n\, axis\, stream\]\)<29>h]<5D>(h<00>pending_xref<65><66><EFBFBD>)<29><>}<7D>(h<05> :py:obj:`fft <mlx.core.fft.fft>`<60>h]<5D>h	<09>literal<61><6C><EFBFBD>)<29><>}<7D>(hh<>h]<5D>h0<68>fft<66><74><EFBFBD><EFBFBD><EFBFBD>}<7D>(h h<>h!hh"NhNubah}<7D>(h]<5D>h]<5D>(<28>xref<65><66>py<70><79>py-obj<62>eh]<5D>h]<5D>h]<5D>uhh<>h h<>ubah}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D><>refdoc<6F><63>
python/fft<66><74>	refdomain<69>h<EFBFBD><68>reftype<70><65>obj<62><6A>refexplicit<69><74><EFBFBD>refwarn<72><6E><EFBFBD>	py:module<6C><65>mlx.core.fft<66><74>py:class<73>N<EFBFBD>	reftarget<65><74>mlx.core.fft.fft<66>uhh<>h"<22>D/Users/awnihannun/repos/mlx/docs/src/python/fft.rst:22:<autosummary><3E>hK
h h<>ubh0<68>(a[, n, axis, stream])<29><><EFBFBD><EFBFBD><EFBFBD>}<7D>(h h<>h!hh"NhNubeh}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D>uhhh"h<>hK
h h|ubah}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D>uhhzh hwubh{)<29><>}<7D>(hhh]<5D>h<EFBFBD>)<29><>}<7D>(h<05>+One dimensional discrete Fourier Transform.<2E>h]<5D>h0<68>+One dimensional discrete Fourier Transform.<2E><><EFBFBD><EFBFBD><EFBFBD>}<7D>(h h<>h!hh"NhNubah}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D>uhhh"<22>D/Users/awnihannun/repos/mlx/docs/src/python/fft.rst:22:<autosummary><3E>hK
h h<>ubah}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D>uhhzh hwubeh}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D>uhhuh hrubhv)<29><>}<7D>(hhh]<5D>(h{)<29><>}<7D>(hhh]<5D>h<EFBFBD>)<29><>}<7D>(h<05>A:py:obj:`ifft <mlx.core.fft.ifft>`\ \(a\[\, n\, axis\, stream\]\)<29>h]<5D>(h<>)<29><>}<7D>(h<05>":py:obj:`ifft <mlx.core.fft.ifft>`<60>h]<5D>h<EFBFBD>)<29><>}<7D>(hh<>h]<5D>h0<68>ifft<66><74><EFBFBD><EFBFBD><EFBFBD>}<7D>(h h<>h!hh"NhNubah}<7D>(h]<5D>h]<5D>(h<><68>py<70><79>py-obj<62>eh]<5D>h]<5D>h]<5D>uhh<>h h<>ubah}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D><>refdoc<6F>h<EFBFBD><68>	refdomain<69>h<EFBFBD><68>reftype<70><65>obj<62><6A>refexplicit<69><74><EFBFBD>refwarn<72><6E>h<EFBFBD>h<EFBFBD>h<EFBFBD>Nh<4E><68>mlx.core.fft.ifft<66>uhh<>h"<22>D/Users/awnihannun/repos/mlx/docs/src/python/fft.rst:22:<autosummary><3E>hK
h h<>ubh0<68>(a[, n, axis, stream])<29><><EFBFBD><EFBFBD><EFBFBD>}<7D>(h h<>h!hh"NhNubeh}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D>uhhh"j
hK
h h<>ubah}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D>uhhzh h<>ubh{)<29><>}<7D>(hhh]<5D>h<EFBFBD>)<29><>}<7D>(h<05>3One dimensional inverse discrete Fourier Transform.<2E>h]<5D>h0<68>3One dimensional inverse discrete Fourier Transform.<2E><><EFBFBD><EFBFBD><EFBFBD>}<7D>(h j
h!hh"NhNubah}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D>uhhh"<22>D/Users/awnihannun/repos/mlx/docs/src/python/fft.rst:22:<autosummary><3E>hK
h j
ubah}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D>uhhzh h<>ubeh}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D>uhhuh hrubhv)<29><>}<7D>(hhh]<5D>(h{)<29><>}<7D>(hhh]<5D>h<EFBFBD>)<29><>}<7D>(h<05>A:py:obj:`fft2 <mlx.core.fft.fft2>`\ \(a\[\, s\, axes\, stream\]\)<29>h]<5D>(h<>)<29><>}<7D>(h<05>":py:obj:`fft2 <mlx.core.fft.fft2>`<60>h]<5D>h<EFBFBD>)<29><>}<7D>(hjC
h]<5D>h0<68>fft2<74><32><EFBFBD><EFBFBD><EFBFBD>}<7D>(h jE
h!hh"NhNubah}<7D>(h]<5D>h]<5D>(h<><68>py<70><79>py-obj<62>eh]<5D>h]<5D>h]<5D>uhh<>h jA
ubah}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D><>refdoc<6F>h<EFBFBD><68>	refdomain<69>jO
<00>reftype<70><65>obj<62><6A>refexplicit<69><74><EFBFBD>refwarn<72><6E>h<EFBFBD>h<EFBFBD>h<EFBFBD>Nh<4E><68>mlx.core.fft.fft2<74>uhh<>h"<22>D/Users/awnihannun/repos/mlx/docs/src/python/fft.rst:22:<autosummary><3E>hK
h j=
ubh0<68>(a[, s, axes, stream])<29><><EFBFBD><EFBFBD><EFBFBD>}<7D>(h j=
h!hh"NhNubeh}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D>uhhh"ja
hK
h j:
ubah}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D>uhhzh j7
ubh{)<29><>}<7D>(hhh]<5D>h<EFBFBD>)<29><>}<7D>(h<05>+Two dimensional discrete Fourier Transform.<2E>h]<5D>h0<68>+Two dimensional discrete Fourier Transform.<2E><><EFBFBD><EFBFBD><EFBFBD>}<7D>(h ju
h!hh"NhNubah}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D>uhhh"<22>D/Users/awnihannun/repos/mlx/docs/src/python/fft.rst:22:<autosummary><3E>hK
h jr
ubah}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D>uhhzh j7
ubeh}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D>uhhuh hrubhv)<29><>}<7D>(hhh]<5D>(h{)<29><>}<7D>(hhh]<5D>h<EFBFBD>)<29><>}<7D>(h<05>C:py:obj:`ifft2 <mlx.core.fft.ifft2>`\ \(a\[\, s\, axes\, stream\]\)<29>h]<5D>(h<>)<29><>}<7D>(h<05>$:py:obj:`ifft2 <mlx.core.fft.ifft2>`<60>h]<5D>h<EFBFBD>)<29><>}<7D>(hj<>
h]<5D>h0<68>ifft2<74><32><EFBFBD><EFBFBD><EFBFBD>}<7D>(h j<>
h!hh"NhNubah}<7D>(h]<5D>h]<5D>(h<><68>py<70><79>py-obj<62>eh]<5D>h]<5D>h]<5D>uhh<>h j<>
ubah}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D><>refdoc<6F>h<EFBFBD><68>	refdomain<69>j<EFBFBD>
<00>reftype<70><65>obj<62><6A>refexplicit<69><74><EFBFBD>refwarn<72><6E>h<EFBFBD>h<EFBFBD>h<EFBFBD>Nh<4E><68>mlx.core.fft.ifft2<74>uhh<>h"<22>D/Users/awnihannun/repos/mlx/docs/src/python/fft.rst:22:<autosummary><3E>hK
h j<>
ubh0<68>(a[, s, axes, stream])<29><><EFBFBD><EFBFBD><EFBFBD>}<7D>(h j<>
h!hh"NhNubeh}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D>uhhh"j<>
hK
h j<>
ubah}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D>uhhzh j<>
ubh{)<29><>}<7D>(hhh]<5D>h<EFBFBD>)<29><>}<7D>(h<05>3Two dimensional inverse discrete Fourier Transform.<2E>h]<5D>h0<68>3Two dimensional inverse discrete Fourier Transform.<2E><><EFBFBD><EFBFBD><EFBFBD>}<7D>(h j<>
h!hh"NhNubah}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D>uhhh"<22>D/Users/awnihannun/repos/mlx/docs/src/python/fft.rst:22:<autosummary><3E>hK
h j<>
ubah}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D>uhhzh j<>
ubeh}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D>uhhuh hrubhv)<29><>}<7D>(hhh]<5D>(h{)<29><>}<7D>(hhh]<5D>h<EFBFBD>)<29><>}<7D>(h<05>A:py:obj:`fftn <mlx.core.fft.fftn>`\ \(a\[\, s\, axes\, stream\]\)<29>h]<5D>(h<>)<29><>}<7D>(h<05>":py:obj:`fftn <mlx.core.fft.fftn>`<60>h]<5D>h<EFBFBD>)<29><>}<7D>(hj<>
h]<5D>h0<68>fftn<74><6E><EFBFBD><EFBFBD><EFBFBD>}<7D>(h j<>
h!hh"NhNubah}<7D>(h]<5D>h]<5D>(h<><68>py<70><79>py-obj<62>eh]<5D>h]<5D>h]<5D>uhh<>h j<>
ubah}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D><>refdoc<6F>h<EFBFBD><68>	refdomain<69>j
<00>reftype<70><65>obj<62><6A>refexplicit<69><74><EFBFBD>refwarn<72><6E>h<EFBFBD>h<EFBFBD>h<EFBFBD>Nh<4E><68>mlx.core.fft.fftn<74>uhh<>h"<22>D/Users/awnihannun/repos/mlx/do
rawentries<EFBFBD>]<5D>uhj=h j:ubah}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D>j6j7uhj8h h&h!hh"hHhNubeh}<7D>(h]<5D>(h<1D>id1<64>eh]<5D>h]<5D><>fft<66>ah]<5D><>fft<66>ah]<5D>uhh$h hh!hh"h#hK<04>
referenced<EFBFBD>K
<01>expect_referenced_by_name<6D>}<7D>jths<>expect_referenced_by_id<69>}<7D>hhsubeh}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D><>source<63>h#uhh
<01>current_source<63>N<EFBFBD>current_line<6E>N<EFBFBD>settings<67><73>docutils.frontend<6E><64>Values<65><73><EFBFBD>)<29><>}<7D>(h)N<>	generator<6F>N<EFBFBD>	datestamp<6D>N<EFBFBD>source_link<6E>N<EFBFBD>
source_url<EFBFBD>N<EFBFBD>
toc_backlinks<6B>hz<68>footnote_backlinks<6B>K
<01>
sectnum_xform<72>K
<01>strip_comments<74>N<EFBFBD>strip_elements_with_classes<65>N<EFBFBD>
strip_classes<65>N<EFBFBD>report_level<65>K<02>
halt_level<EFBFBD>K<05>exit_status_level<65>K<05>debug<75>N<EFBFBD>warning_stream<61>N<EFBFBD>	traceback<63><6B><EFBFBD>input_encoding<6E><67>	utf-8-sig<69><67>input_encoding_error_handler<65><72>strict<63><74>output_encoding<6E><67>utf-8<><38>output_encoding_error_handler<65>j<EFBFBD><00>error_encoding<6E><67>utf-8<><38>error_encoding_error_handler<65><72>backslashreplace<63><65>
language_code<64><65>en<65><6E>record_dependencies<65>N<EFBFBD>config<69>N<EFBFBD>	id_prefix<69>h<06>auto_id_prefix<69><78>id<69><64>
dump_settings<67>N<EFBFBD>dump_internals<6C>N<EFBFBD>dump_transforms<6D>N<EFBFBD>dump_pseudo_xml<6D>N<EFBFBD>expose_internals<6C>N<EFBFBD>strict_visitor<6F>N<EFBFBD>_disable_config<69>N<EFBFBD>_source<63>h#<23>_destination<6F>N<EFBFBD>
_config_files<65>]<5D><>file_insertion_enabled<65><64><EFBFBD>raw_enabled<65>K
<01>line_length_limit<69>M'<27>pep_references<65>N<EFBFBD>pep_base_url<72><6C>https://peps.python.org/<2F><>pep_file_url_template<74><65>pep-%04d<34><64>rfc_references<65>N<EFBFBD>rfc_base_url<72><6C>&https://datatracker.ietf.org/doc/html/<2F><>	tab_width<74>K<08>trim_footnote_reference_space<63><65><EFBFBD>syntax_highlight<68><74>long<6E><67>smart_quotes<65><73><EFBFBD>smartquotes_locales<65>]<5D><>character_level_inline_markup<75><70><EFBFBD>doctitle_xform<72><6D><EFBFBD>
docinfo_xform<72>K
<01>sectsubtitle_xform<72><6D><EFBFBD>
image_loading<6E><67>link<6E><6B>embed_stylesheet<65><74><EFBFBD>cloak_email_addresses<65><73><EFBFBD>section_self_link<6E><6B><EFBFBD>env<6E>Nub<75>reporter<65>N<EFBFBD>indirect_targets<74>]<5D><>substitution_defs<66>}<7D><>substitution_names<65>}<7D><>refnames<65>}<7D><>refids<64>}<7D>h]<5D>has<61>nameids<64>}<7D>jths<>	nametypes<65>}<7D>jt<00>sh}<7D>(hh&jqh&u<>
footnote_refs<66>}<7D><>
citation_refs<66>}<7D><>
autofootnotes<65>]<5D><>autofootnote_refs<66>]<5D><>symbol_footnotes<65>]<5D><>symbol_footnote_refs<66>]<5D><>	footnotes<65>]<5D><>	citations<6E>]<5D><>autofootnote_start<72>K
<01>symbol_footnote_start<72>K<00>
id_counter<EFBFBD><EFBFBD>collections<6E><73>Counter<65><72><EFBFBD>}<7D>j<EFBFBD>K
s<><73>R<EFBFBD><52>parse_messages<65>]<5D>h	<09>system_message<67><65><EFBFBD>)<29><>}<7D>(hhh]<5D>h<EFBFBD>)<29><>}<7D>(h<05>&Duplicate implicit target name: "fft".<2E>h]<5D>h0<68>*Duplicate implicit target name: “fft”.<2E><><EFBFBD><EFBFBD><EFBFBD>}<7D>(h jh!hh"NhNubah}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D>uhhh jubah}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D>jqa<>level<65>K
<01>type<70><65>INFO<46><4F>source<63>h#<23>line<6E>Kuhj
h h&h!hh"h#hKuba<62>transform_messages<65>]<5D>j)<29><>}<7D>(hhh]<5D>h<EFBFBD>)<29><>}<7D>(hhh]<5D>h0<68>)Hyperlink target "fft" is not referenced.<2E><><EFBFBD><EFBFBD><EFBFBD>}<7D>h j$sbah}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D>uhhh j!ubah}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D><>level<65>K
<01>type<70>j<00>source<63>h#<23>line<6E>K
uhj
uba<62>transformer<65>N<EFBFBD>include_log<6F>]<5D><>
decoration<EFBFBD>Nh!hub.