Discrete Transforms¶
The cvxopt.fftw
module is an interface to the FFTW library and
contains routines for discrete Fourier, cosine, and sine transforms.
This module is optional, and only installed when the FFTW library is made
available during the CVXOPT installation.
Discrete Fourier Transform¶
- cvxopt.fftw.dft(X)¶
Replaces the columns of a dense complex matrix with their discrete Fourier transforms: if
X
hasSystem Message: WARNING/2 (n)
latex exited with error [stderr] kpathsea: Running mktexfmt latex.fmt mktexfmt: mktexfmt is using the following fmtutil.cnf files (in precedence order): mktexfmt: /usr/share/texmf-dist/web2c/fmtutil.cnf mktexfmt: mktexfmt is using the following fmtutil.cnf file for writing changes: mktexfmt: /usr/src/.texlive2021/texmf-config/web2c/fmtutil.cnf mktexfmt [INFO]: writing formats under /usr/src/.texlive2021/texmf-var/web2c mktexfmt [INFO]: --- remaking latex with pdftex mktexfmt: running `pdftex -ini -jobname=latex -progname=latex -translate-file=cp227.tcx *latex.ini' ... This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2021/Mageia) (INITEX) restricted \write18 enabled. (/usr/share/texmf-dist/web2c/cp227.tcx) entering extended mode (/usr/share/texmf-dist/tex/latex/latexconfig/latex.ini (/usr/share/texmf-dist/tex/generic/config/pdftexconfig.tex) (/usr/share/texmf-dist/tex/latex/base/latex.ltx (/usr/share/texmf-dist/tex/latex/base/texsys.cfg) ./texsys.aux found \@currdir set to: ./. Assuming \openin and \input have the same search path. Defining UNIX/DOS style filename parser. catcodes, registers, parameters, LaTeX2e <2020-10-01> patch level 4 (/usr/share/texmf-dist/tex/latex/l3kernel/expl3.ltx (/usr/share/texmf-dist/tex/latex/l3kernel/expl3-code.tex ! LaTeX3 Error: File 'UnicodeData.txt' not found. For immediate help type H <return>. ... l.30209 } (/usr/share/texmf-dist/tex/latex/l3kernel/l3deprecation.def))) (/usr/share/texmf-dist/tex/latex/l3packages/xparse/xparse.ltx (/usr/share/texmf-dist/tex/latex/l3packages/xparse/xparse-generic.tex)) hacks, control, par, spacing, files, font encodings, lengths, ==================================== Local config file fonttext.cfg used ==================================== (/usr/share/texmf-dist/tex/latex/base/fonttext.cfg (/usr/share/texmf-dist/tex/latex/base/fonttext.ltx === Don't modify this file, use a .cfg file instead === (/usr/share/texmf-dist/tex/latex/base/omlenc.def) (/usr/share/texmf-dist/tex/latex/base/omsenc.def) (/usr/share/texmf-dist/tex/latex/base/ot1enc.def) (/usr/share/texmf-dist/tex/latex/base/t1enc.def) (/usr/share/texmf-dist/tex/latex/base/ts1enc.def) (/usr/share/texmf-dist/tex/latex/base/ts1cmr.fd) (/usr/share/texmf-dist/tex/latex/base/t1cmr.fd) (/usr/share/texmf-dist/tex/latex/base/ot1cmr.fd) (/usr/share/texmf-dist/tex/latex/base/ot1cmss.fd) (/usr/share/texmf-dist/tex/latex/base/ot1cmtt.fd))) ==================================== Local config file fontmath.cfg used ==================================== (/usr/share/texmf-dist/tex/latex/base/fontmath.cfg (/usr/share/texmf-dist/tex/latex/base/fontmath.ltx === Don't modify this file, use a .cfg file instead === (/usr/share/texmf-dist/tex/latex/base/omlcmm.fd) (/usr/share/texmf-dist/tex/latex/base/omscmsy.fd) (/usr/share/texmf-dist/tex/latex/base/omxcmex.fd) (/usr/share/texmf-dist/tex/latex/base/ucmr.fd))) ==================================== Local config file preload.cfg used ===================================== (/usr/share/texmf-dist/tex/latex/base/preload.cfg (/usr/share/texmf-dist/tex/latex/base/preload.ltx)) page nos., x-ref, environments, center, verbatim, math definitions, boxes, title, sectioning, contents, floats, footnotes, index, bibliography, output, =========================================== Local configuration file hyphen.cfg used =========================================== (/usr/share/texmf-dist/tex/generic/babel/hyphen.cfg (/usr/share/texmf-dist/tex/generic/hyphen/hyphen.tex) (/usr/share/texmf-dist/tex/generic/hyphen/dumyhyph.tex) (/usr/share/texmf-dist/tex/generic/hyphen/zerohyph.tex) (/usr/share/texmf-dist/tex/generic/dehyph-exptl/dehypht-x-2021-02-26.tex dehyph-exptl: using an 8-bit TeX engine. (/usr/share/texmf-dist/tex/generic/dehyph-exptl/dehypht-x-2021-02-26.pat German Hyphenation Patterns (Traditional Orthography) `dehypht-x' 2021-02-26 (W L))) (/usr/share/texmf-dist/tex/generic/dehyph-exptl/dehyphn-x-2021-02-26.tex dehyph-exptl: using an 8-bit TeX engine. (/usr/share/texmf-dist/tex/generic/dehyph-exptl/dehyphn-x-2021-02-26.pat German Hyphenation Patterns (Reformed Orthography, 2006) `dehyphn-x' 2021-02-26 (WL))) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-af.tex EC Afrikaans hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-af.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-grc.tex Hyphenation patterns for Ancient Greek (/usr/share/texmf-dist/tex/generic/hyphen/grahyph5.tex Hyphenation patterns for Ancient Greek)) (/usr/share/texmf-dist/tex/generic/hyphen/ibyhyph.tex Greek hyphenation patterns for Ibycus encoding, v3.0) (/usr/share/texmf-dist/tex/generic/hyphen/zerohyph.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-hy.tex No Armenian hyphenation patterns - only for Unicode engines) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-eu.tex EC Basque hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-eu.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-be.tex T2A Belarusian hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-t2a.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-be.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-bg.tex T2A Bulgarian hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-t2a.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-bg.tex Bulgarian hyphenation patterns (options: --safe-morphology --standalone-tex, ve rsion 21 October 2017))) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-ca.tex EC Catalan hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-ca.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-zh-latn-pinyin.t ex EC Pinyin Hyphenation Patterns (with tone markers) 2018-11-25 (WL) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/ptex/hyph-zh-latn-pinyin. ec.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-cu.tex No Church Slavonic hyphenation patterns - only for Unicode engines) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-cop.tex Coptic hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex-8bit/copthyph.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-hr.tex EC Croatian hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-hr.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-cs.tex EC Czech hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-cs.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-da.tex EC Danish hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-da.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-nl.tex EC Dutch hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-nl.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-en-gb.tex ASCII Hyphenation patterns for British English (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-en-gb.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-en-us.tex ASCII Hyphenation patterns for American English (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-en-us.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-eo.tex IL3 Esperanto hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-il3.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-eo.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-et.tex EC Estonian hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-et.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-mul-ethi.tex No Pan-Ethiopic hyphenation patterns - only for Unicode engines) (/usr/share/texmf-dist/tex/generic/hyphen/zerohyph.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-fi.tex EC Finnish hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-fi.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-fi-x-school.tex EC Finnish hyphenation patterns for school (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-fi-x-school.tex) ) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-fr.tex EC French hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-fr.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-fur.tex EC Friulan hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-fur.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-gl.tex EC Galician hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-gl.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-ka.tex T8M Georgian hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-t8m.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-ka.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-de-1901.tex EC German hyphenation patterns (traditional orthography) ! I can't find file `dehypht.tex'. l.29 \input dehypht.tex (Press Enter to retry, or Control-D to exit) Please type another input file name: ! Emergency stop. l.29 \input dehypht.tex No pages of output. Transcript written on latex.log. mktexfmt [INFO]: log file copied to: /usr/src/.texlive2021/texmf-var/web2c/pdftex/latex.log mktexfmt [ERROR]: running `pdftex -ini -jobname=latex -progname=latex -translate-file=cp227.tcx *latex.ini >&2 </dev/null' return status: 1 mktexfmt [ERROR]: returning error due to option --strict mktexfmt [INFO]: disabled formats: 5 mktexfmt [INFO]: not selected formats: 53 mktexfmt [INFO]: failed to build: 1 (pdftex/latex) mktexfmt [INFO]: total formats: 59 mktexfmt [INFO]: exiting with status 1 [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2021/Mageia) (preloaded format=latex) restricted \write18 enabled. I can't find the format file `latex.fmt'!
System Message: WARNING/2 (X[k,:] := \sum_{j=0}^{n-1} e^{-2\pi j k \sqrt{-1}/n} X[j,:], \qquad k=0,\ldots,n-1.)
latex exited with error [stderr] kpathsea: Running mktexfmt latex.fmt mktexfmt: mktexfmt is using the following fmtutil.cnf files (in precedence order): mktexfmt: /usr/share/texmf-dist/web2c/fmtutil.cnf mktexfmt: mktexfmt is using the following fmtutil.cnf file for writing changes: mktexfmt: /usr/src/.texlive2021/texmf-config/web2c/fmtutil.cnf mktexfmt [INFO]: writing formats under /usr/src/.texlive2021/texmf-var/web2c mktexfmt [INFO]: --- remaking latex with pdftex mktexfmt: running `pdftex -ini -jobname=latex -progname=latex -translate-file=cp227.tcx *latex.ini' ... This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2021/Mageia) (INITEX) restricted \write18 enabled. (/usr/share/texmf-dist/web2c/cp227.tcx) entering extended mode (/usr/share/texmf-dist/tex/latex/latexconfig/latex.ini (/usr/share/texmf-dist/tex/generic/config/pdftexconfig.tex) (/usr/share/texmf-dist/tex/latex/base/latex.ltx (/usr/share/texmf-dist/tex/latex/base/texsys.cfg) ./texsys.aux found \@currdir set to: ./. Assuming \openin and \input have the same search path. Defining UNIX/DOS style filename parser. catcodes, registers, parameters, LaTeX2e <2020-10-01> patch level 4 (/usr/share/texmf-dist/tex/latex/l3kernel/expl3.ltx (/usr/share/texmf-dist/tex/latex/l3kernel/expl3-code.tex ! LaTeX3 Error: File 'UnicodeData.txt' not found. For immediate help type H <return>. ... l.30209 } (/usr/share/texmf-dist/tex/latex/l3kernel/l3deprecation.def))) (/usr/share/texmf-dist/tex/latex/l3packages/xparse/xparse.ltx (/usr/share/texmf-dist/tex/latex/l3packages/xparse/xparse-generic.tex)) hacks, control, par, spacing, files, font encodings, lengths, ==================================== Local config file fonttext.cfg used ==================================== (/usr/share/texmf-dist/tex/latex/base/fonttext.cfg (/usr/share/texmf-dist/tex/latex/base/fonttext.ltx === Don't modify this file, use a .cfg file instead === (/usr/share/texmf-dist/tex/latex/base/omlenc.def) (/usr/share/texmf-dist/tex/latex/base/omsenc.def) (/usr/share/texmf-dist/tex/latex/base/ot1enc.def) (/usr/share/texmf-dist/tex/latex/base/t1enc.def) (/usr/share/texmf-dist/tex/latex/base/ts1enc.def) (/usr/share/texmf-dist/tex/latex/base/ts1cmr.fd) (/usr/share/texmf-dist/tex/latex/base/t1cmr.fd) (/usr/share/texmf-dist/tex/latex/base/ot1cmr.fd) (/usr/share/texmf-dist/tex/latex/base/ot1cmss.fd) (/usr/share/texmf-dist/tex/latex/base/ot1cmtt.fd))) ==================================== Local config file fontmath.cfg used ==================================== (/usr/share/texmf-dist/tex/latex/base/fontmath.cfg (/usr/share/texmf-dist/tex/latex/base/fontmath.ltx === Don't modify this file, use a .cfg file instead === (/usr/share/texmf-dist/tex/latex/base/omlcmm.fd) (/usr/share/texmf-dist/tex/latex/base/omscmsy.fd) (/usr/share/texmf-dist/tex/latex/base/omxcmex.fd) (/usr/share/texmf-dist/tex/latex/base/ucmr.fd))) ==================================== Local config file preload.cfg used ===================================== (/usr/share/texmf-dist/tex/latex/base/preload.cfg (/usr/share/texmf-dist/tex/latex/base/preload.ltx)) page nos., x-ref, environments, center, verbatim, math definitions, boxes, title, sectioning, contents, floats, footnotes, index, bibliography, output, =========================================== Local configuration file hyphen.cfg used =========================================== (/usr/share/texmf-dist/tex/generic/babel/hyphen.cfg (/usr/share/texmf-dist/tex/generic/hyphen/hyphen.tex) (/usr/share/texmf-dist/tex/generic/hyphen/dumyhyph.tex) (/usr/share/texmf-dist/tex/generic/hyphen/zerohyph.tex) (/usr/share/texmf-dist/tex/generic/dehyph-exptl/dehypht-x-2021-02-26.tex dehyph-exptl: using an 8-bit TeX engine. (/usr/share/texmf-dist/tex/generic/dehyph-exptl/dehypht-x-2021-02-26.pat German Hyphenation Patterns (Traditional Orthography) `dehypht-x' 2021-02-26 (W L))) (/usr/share/texmf-dist/tex/generic/dehyph-exptl/dehyphn-x-2021-02-26.tex dehyph-exptl: using an 8-bit TeX engine. (/usr/share/texmf-dist/tex/generic/dehyph-exptl/dehyphn-x-2021-02-26.pat German Hyphenation Patterns (Reformed Orthography, 2006) `dehyphn-x' 2021-02-26 (WL))) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-af.tex EC Afrikaans hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-af.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-grc.tex Hyphenation patterns for Ancient Greek (/usr/share/texmf-dist/tex/generic/hyphen/grahyph5.tex Hyphenation patterns for Ancient Greek)) (/usr/share/texmf-dist/tex/generic/hyphen/ibyhyph.tex Greek hyphenation patterns for Ibycus encoding, v3.0) (/usr/share/texmf-dist/tex/generic/hyphen/zerohyph.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-hy.tex No Armenian hyphenation patterns - only for Unicode engines) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-eu.tex EC Basque hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-eu.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-be.tex T2A Belarusian hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-t2a.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-be.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-bg.tex T2A Bulgarian hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-t2a.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-bg.tex Bulgarian hyphenation patterns (options: --safe-morphology --standalone-tex, ve rsion 21 October 2017))) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-ca.tex EC Catalan hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-ca.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-zh-latn-pinyin.t ex EC Pinyin Hyphenation Patterns (with tone markers) 2018-11-25 (WL) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/ptex/hyph-zh-latn-pinyin. ec.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-cu.tex No Church Slavonic hyphenation patterns - only for Unicode engines) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-cop.tex Coptic hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex-8bit/copthyph.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-hr.tex EC Croatian hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-hr.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-cs.tex EC Czech hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-cs.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-da.tex EC Danish hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-da.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-nl.tex EC Dutch hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-nl.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-en-gb.tex ASCII Hyphenation patterns for British English (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-en-gb.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-en-us.tex ASCII Hyphenation patterns for American English (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-en-us.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-eo.tex IL3 Esperanto hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-il3.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-eo.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-et.tex EC Estonian hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-et.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-mul-ethi.tex No Pan-Ethiopic hyphenation patterns - only for Unicode engines) (/usr/share/texmf-dist/tex/generic/hyphen/zerohyph.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-fi.tex EC Finnish hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-fi.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-fi-x-school.tex EC Finnish hyphenation patterns for school (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-fi-x-school.tex) ) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-fr.tex EC French hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-fr.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-fur.tex EC Friulan hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-fur.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-gl.tex EC Galician hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-gl.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-ka.tex T8M Georgian hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-t8m.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-ka.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-de-1901.tex EC German hyphenation patterns (traditional orthography) ! I can't find file `dehypht.tex'. l.29 \input dehypht.tex (Press Enter to retry, or Control-D to exit) Please type another input file name: ! Emergency stop. l.29 \input dehypht.tex No pages of output. Transcript written on latex.log. mktexfmt [INFO]: log file copied to: /usr/src/.texlive2021/texmf-var/web2c/pdftex/latex.log mktexfmt [ERROR]: running `pdftex -ini -jobname=latex -progname=latex -translate-file=cp227.tcx *latex.ini >&2 </dev/null' return status: 1 mktexfmt [ERROR]: returning error due to option --strict mktexfmt [INFO]: disabled formats: 5 mktexfmt [INFO]: not selected formats: 53 mktexfmt [INFO]: failed to build: 1 (pdftex/latex) mktexfmt [INFO]: total formats: 59 mktexfmt [INFO]: exiting with status 1 [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2021/Mageia) (preloaded format=latex) restricted \write18 enabled. I can't find the format file `latex.fmt'!
- cvxopt.fftw.idft(X)¶
Replaces the columns of a dense complex matrix with their inverse discrete Fourier transforms: if
X
hasSystem Message: WARNING/2 (n)
latex exited with error [stderr] kpathsea: Running mktexfmt latex.fmt mktexfmt: mktexfmt is using the following fmtutil.cnf files (in precedence order): mktexfmt: /usr/share/texmf-dist/web2c/fmtutil.cnf mktexfmt: mktexfmt is using the following fmtutil.cnf file for writing changes: mktexfmt: /usr/src/.texlive2021/texmf-config/web2c/fmtutil.cnf mktexfmt [INFO]: writing formats under /usr/src/.texlive2021/texmf-var/web2c mktexfmt [INFO]: --- remaking latex with pdftex mktexfmt: running `pdftex -ini -jobname=latex -progname=latex -translate-file=cp227.tcx *latex.ini' ... This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2021/Mageia) (INITEX) restricted \write18 enabled. (/usr/share/texmf-dist/web2c/cp227.tcx) entering extended mode (/usr/share/texmf-dist/tex/latex/latexconfig/latex.ini (/usr/share/texmf-dist/tex/generic/config/pdftexconfig.tex) (/usr/share/texmf-dist/tex/latex/base/latex.ltx (/usr/share/texmf-dist/tex/latex/base/texsys.cfg) ./texsys.aux found \@currdir set to: ./. Assuming \openin and \input have the same search path. Defining UNIX/DOS style filename parser. catcodes, registers, parameters, LaTeX2e <2020-10-01> patch level 4 (/usr/share/texmf-dist/tex/latex/l3kernel/expl3.ltx (/usr/share/texmf-dist/tex/latex/l3kernel/expl3-code.tex ! LaTeX3 Error: File 'UnicodeData.txt' not found. For immediate help type H <return>. ... l.30209 } (/usr/share/texmf-dist/tex/latex/l3kernel/l3deprecation.def))) (/usr/share/texmf-dist/tex/latex/l3packages/xparse/xparse.ltx (/usr/share/texmf-dist/tex/latex/l3packages/xparse/xparse-generic.tex)) hacks, control, par, spacing, files, font encodings, lengths, ==================================== Local config file fonttext.cfg used ==================================== (/usr/share/texmf-dist/tex/latex/base/fonttext.cfg (/usr/share/texmf-dist/tex/latex/base/fonttext.ltx === Don't modify this file, use a .cfg file instead === (/usr/share/texmf-dist/tex/latex/base/omlenc.def) (/usr/share/texmf-dist/tex/latex/base/omsenc.def) (/usr/share/texmf-dist/tex/latex/base/ot1enc.def) (/usr/share/texmf-dist/tex/latex/base/t1enc.def) (/usr/share/texmf-dist/tex/latex/base/ts1enc.def) (/usr/share/texmf-dist/tex/latex/base/ts1cmr.fd) (/usr/share/texmf-dist/tex/latex/base/t1cmr.fd) (/usr/share/texmf-dist/tex/latex/base/ot1cmr.fd) (/usr/share/texmf-dist/tex/latex/base/ot1cmss.fd) (/usr/share/texmf-dist/tex/latex/base/ot1cmtt.fd))) ==================================== Local config file fontmath.cfg used ==================================== (/usr/share/texmf-dist/tex/latex/base/fontmath.cfg (/usr/share/texmf-dist/tex/latex/base/fontmath.ltx === Don't modify this file, use a .cfg file instead === (/usr/share/texmf-dist/tex/latex/base/omlcmm.fd) (/usr/share/texmf-dist/tex/latex/base/omscmsy.fd) (/usr/share/texmf-dist/tex/latex/base/omxcmex.fd) (/usr/share/texmf-dist/tex/latex/base/ucmr.fd))) ==================================== Local config file preload.cfg used ===================================== (/usr/share/texmf-dist/tex/latex/base/preload.cfg (/usr/share/texmf-dist/tex/latex/base/preload.ltx)) page nos., x-ref, environments, center, verbatim, math definitions, boxes, title, sectioning, contents, floats, footnotes, index, bibliography, output, =========================================== Local configuration file hyphen.cfg used =========================================== (/usr/share/texmf-dist/tex/generic/babel/hyphen.cfg (/usr/share/texmf-dist/tex/generic/hyphen/hyphen.tex) (/usr/share/texmf-dist/tex/generic/hyphen/dumyhyph.tex) (/usr/share/texmf-dist/tex/generic/hyphen/zerohyph.tex) (/usr/share/texmf-dist/tex/generic/dehyph-exptl/dehypht-x-2021-02-26.tex dehyph-exptl: using an 8-bit TeX engine. (/usr/share/texmf-dist/tex/generic/dehyph-exptl/dehypht-x-2021-02-26.pat German Hyphenation Patterns (Traditional Orthography) `dehypht-x' 2021-02-26 (W L))) (/usr/share/texmf-dist/tex/generic/dehyph-exptl/dehyphn-x-2021-02-26.tex dehyph-exptl: using an 8-bit TeX engine. (/usr/share/texmf-dist/tex/generic/dehyph-exptl/dehyphn-x-2021-02-26.pat German Hyphenation Patterns (Reformed Orthography, 2006) `dehyphn-x' 2021-02-26 (WL))) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-af.tex EC Afrikaans hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-af.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-grc.tex Hyphenation patterns for Ancient Greek (/usr/share/texmf-dist/tex/generic/hyphen/grahyph5.tex Hyphenation patterns for Ancient Greek)) (/usr/share/texmf-dist/tex/generic/hyphen/ibyhyph.tex Greek hyphenation patterns for Ibycus encoding, v3.0) (/usr/share/texmf-dist/tex/generic/hyphen/zerohyph.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-hy.tex No Armenian hyphenation patterns - only for Unicode engines) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-eu.tex EC Basque hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-eu.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-be.tex T2A Belarusian hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-t2a.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-be.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-bg.tex T2A Bulgarian hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-t2a.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-bg.tex Bulgarian hyphenation patterns (options: --safe-morphology --standalone-tex, ve rsion 21 October 2017))) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-ca.tex EC Catalan hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-ca.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-zh-latn-pinyin.t ex EC Pinyin Hyphenation Patterns (with tone markers) 2018-11-25 (WL) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/ptex/hyph-zh-latn-pinyin. ec.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-cu.tex No Church Slavonic hyphenation patterns - only for Unicode engines) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-cop.tex Coptic hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex-8bit/copthyph.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-hr.tex EC Croatian hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-hr.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-cs.tex EC Czech hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-cs.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-da.tex EC Danish hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-da.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-nl.tex EC Dutch hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-nl.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-en-gb.tex ASCII Hyphenation patterns for British English (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-en-gb.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-en-us.tex ASCII Hyphenation patterns for American English (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-en-us.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-eo.tex IL3 Esperanto hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-il3.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-eo.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-et.tex EC Estonian hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-et.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-mul-ethi.tex No Pan-Ethiopic hyphenation patterns - only for Unicode engines) (/usr/share/texmf-dist/tex/generic/hyphen/zerohyph.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-fi.tex EC Finnish hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-fi.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-fi-x-school.tex EC Finnish hyphenation patterns for school (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-fi-x-school.tex) ) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-fr.tex EC French hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-fr.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-fur.tex EC Friulan hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-fur.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-gl.tex EC Galician hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-gl.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-ka.tex T8M Georgian hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-t8m.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-ka.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-de-1901.tex EC German hyphenation patterns (traditional orthography) ! I can't find file `dehypht.tex'. l.29 \input dehypht.tex (Press Enter to retry, or Control-D to exit) Please type another input file name: ! Emergency stop. l.29 \input dehypht.tex No pages of output. Transcript written on latex.log. mktexfmt [INFO]: log file copied to: /usr/src/.texlive2021/texmf-var/web2c/pdftex/latex.log mktexfmt [ERROR]: running `pdftex -ini -jobname=latex -progname=latex -translate-file=cp227.tcx *latex.ini >&2 </dev/null' return status: 1 mktexfmt [ERROR]: returning error due to option --strict mktexfmt [INFO]: disabled formats: 5 mktexfmt [INFO]: not selected formats: 53 mktexfmt [INFO]: failed to build: 1 (pdftex/latex) mktexfmt [INFO]: total formats: 59 mktexfmt [INFO]: exiting with status 1 [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2021/Mageia) (preloaded format=latex) restricted \write18 enabled. I can't find the format file `latex.fmt'!
System Message: WARNING/2 (X[k,:] := \frac{1}{n} \sum_{j=0}^{n-1} e^{2\pi j k \sqrt{-1}/n} X[j,:], \qquad k=0,\ldots,n-1.)
latex exited with error [stderr] kpathsea: Running mktexfmt latex.fmt mktexfmt: mktexfmt is using the following fmtutil.cnf files (in precedence order): mktexfmt: /usr/share/texmf-dist/web2c/fmtutil.cnf mktexfmt: mktexfmt is using the following fmtutil.cnf file for writing changes: mktexfmt: /usr/src/.texlive2021/texmf-config/web2c/fmtutil.cnf mktexfmt [INFO]: writing formats under /usr/src/.texlive2021/texmf-var/web2c mktexfmt [INFO]: --- remaking latex with pdftex mktexfmt: running `pdftex -ini -jobname=latex -progname=latex -translate-file=cp227.tcx *latex.ini' ... This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2021/Mageia) (INITEX) restricted \write18 enabled. (/usr/share/texmf-dist/web2c/cp227.tcx) entering extended mode (/usr/share/texmf-dist/tex/latex/latexconfig/latex.ini (/usr/share/texmf-dist/tex/generic/config/pdftexconfig.tex) (/usr/share/texmf-dist/tex/latex/base/latex.ltx (/usr/share/texmf-dist/tex/latex/base/texsys.cfg) ./texsys.aux found \@currdir set to: ./. Assuming \openin and \input have the same search path. Defining UNIX/DOS style filename parser. catcodes, registers, parameters, LaTeX2e <2020-10-01> patch level 4 (/usr/share/texmf-dist/tex/latex/l3kernel/expl3.ltx (/usr/share/texmf-dist/tex/latex/l3kernel/expl3-code.tex ! LaTeX3 Error: File 'UnicodeData.txt' not found. For immediate help type H <return>. ... l.30209 } (/usr/share/texmf-dist/tex/latex/l3kernel/l3deprecation.def))) (/usr/share/texmf-dist/tex/latex/l3packages/xparse/xparse.ltx (/usr/share/texmf-dist/tex/latex/l3packages/xparse/xparse-generic.tex)) hacks, control, par, spacing, files, font encodings, lengths, ==================================== Local config file fonttext.cfg used ==================================== (/usr/share/texmf-dist/tex/latex/base/fonttext.cfg (/usr/share/texmf-dist/tex/latex/base/fonttext.ltx === Don't modify this file, use a .cfg file instead === (/usr/share/texmf-dist/tex/latex/base/omlenc.def) (/usr/share/texmf-dist/tex/latex/base/omsenc.def) (/usr/share/texmf-dist/tex/latex/base/ot1enc.def) (/usr/share/texmf-dist/tex/latex/base/t1enc.def) (/usr/share/texmf-dist/tex/latex/base/ts1enc.def) (/usr/share/texmf-dist/tex/latex/base/ts1cmr.fd) (/usr/share/texmf-dist/tex/latex/base/t1cmr.fd) (/usr/share/texmf-dist/tex/latex/base/ot1cmr.fd) (/usr/share/texmf-dist/tex/latex/base/ot1cmss.fd) (/usr/share/texmf-dist/tex/latex/base/ot1cmtt.fd))) ==================================== Local config file fontmath.cfg used ==================================== (/usr/share/texmf-dist/tex/latex/base/fontmath.cfg (/usr/share/texmf-dist/tex/latex/base/fontmath.ltx === Don't modify this file, use a .cfg file instead === (/usr/share/texmf-dist/tex/latex/base/omlcmm.fd) (/usr/share/texmf-dist/tex/latex/base/omscmsy.fd) (/usr/share/texmf-dist/tex/latex/base/omxcmex.fd) (/usr/share/texmf-dist/tex/latex/base/ucmr.fd))) ==================================== Local config file preload.cfg used ===================================== (/usr/share/texmf-dist/tex/latex/base/preload.cfg (/usr/share/texmf-dist/tex/latex/base/preload.ltx)) page nos., x-ref, environments, center, verbatim, math definitions, boxes, title, sectioning, contents, floats, footnotes, index, bibliography, output, =========================================== Local configuration file hyphen.cfg used =========================================== (/usr/share/texmf-dist/tex/generic/babel/hyphen.cfg (/usr/share/texmf-dist/tex/generic/hyphen/hyphen.tex) (/usr/share/texmf-dist/tex/generic/hyphen/dumyhyph.tex) (/usr/share/texmf-dist/tex/generic/hyphen/zerohyph.tex) (/usr/share/texmf-dist/tex/generic/dehyph-exptl/dehypht-x-2021-02-26.tex dehyph-exptl: using an 8-bit TeX engine. (/usr/share/texmf-dist/tex/generic/dehyph-exptl/dehypht-x-2021-02-26.pat German Hyphenation Patterns (Traditional Orthography) `dehypht-x' 2021-02-26 (W L))) (/usr/share/texmf-dist/tex/generic/dehyph-exptl/dehyphn-x-2021-02-26.tex dehyph-exptl: using an 8-bit TeX engine. (/usr/share/texmf-dist/tex/generic/dehyph-exptl/dehyphn-x-2021-02-26.pat German Hyphenation Patterns (Reformed Orthography, 2006) `dehyphn-x' 2021-02-26 (WL))) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-af.tex EC Afrikaans hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-af.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-grc.tex Hyphenation patterns for Ancient Greek (/usr/share/texmf-dist/tex/generic/hyphen/grahyph5.tex Hyphenation patterns for Ancient Greek)) (/usr/share/texmf-dist/tex/generic/hyphen/ibyhyph.tex Greek hyphenation patterns for Ibycus encoding, v3.0) (/usr/share/texmf-dist/tex/generic/hyphen/zerohyph.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-hy.tex No Armenian hyphenation patterns - only for Unicode engines) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-eu.tex EC Basque hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-eu.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-be.tex T2A Belarusian hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-t2a.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-be.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-bg.tex T2A Bulgarian hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-t2a.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-bg.tex Bulgarian hyphenation patterns (options: --safe-morphology --standalone-tex, ve rsion 21 October 2017))) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-ca.tex EC Catalan hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-ca.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-zh-latn-pinyin.t ex EC Pinyin Hyphenation Patterns (with tone markers) 2018-11-25 (WL) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/ptex/hyph-zh-latn-pinyin. ec.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-cu.tex No Church Slavonic hyphenation patterns - only for Unicode engines) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-cop.tex Coptic hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex-8bit/copthyph.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-hr.tex EC Croatian hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-hr.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-cs.tex EC Czech hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-cs.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-da.tex EC Danish hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-da.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-nl.tex EC Dutch hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-nl.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-en-gb.tex ASCII Hyphenation patterns for British English (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-en-gb.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-en-us.tex ASCII Hyphenation patterns for American English (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-en-us.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-eo.tex IL3 Esperanto hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-il3.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-eo.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-et.tex EC Estonian hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-et.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-mul-ethi.tex No Pan-Ethiopic hyphenation patterns - only for Unicode engines) (/usr/share/texmf-dist/tex/generic/hyphen/zerohyph.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-fi.tex EC Finnish hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-fi.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-fi-x-school.tex EC Finnish hyphenation patterns for school (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-fi-x-school.tex) ) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-fr.tex EC French hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-fr.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-fur.tex EC Friulan hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-fur.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-gl.tex EC Galician hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-gl.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-ka.tex T8M Georgian hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-t8m.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-ka.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-de-1901.tex EC German hyphenation patterns (traditional orthography) ! I can't find file `dehypht.tex'. l.29 \input dehypht.tex (Press Enter to retry, or Control-D to exit) Please type another input file name: ! Emergency stop. l.29 \input dehypht.tex No pages of output. Transcript written on latex.log. mktexfmt [INFO]: log file copied to: /usr/src/.texlive2021/texmf-var/web2c/pdftex/latex.log mktexfmt [ERROR]: running `pdftex -ini -jobname=latex -progname=latex -translate-file=cp227.tcx *latex.ini >&2 </dev/null' return status: 1 mktexfmt [ERROR]: returning error due to option --strict mktexfmt [INFO]: disabled formats: 5 mktexfmt [INFO]: not selected formats: 53 mktexfmt [INFO]: failed to build: 1 (pdftex/latex) mktexfmt [INFO]: total formats: 59 mktexfmt [INFO]: exiting with status 1 [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2021/Mageia) (preloaded format=latex) restricted \write18 enabled. I can't find the format file `latex.fmt'!
The module also includes a discrete N-dimensional Fourier transform. The input matrix is interpreted as an N-dimensional matrix stored in column-major order. The discrete N-dimensional Fourier transform computes the corresponding one-dimensional transform along each dimension. For example, the two-dimensional transform applies a one-dimensional transform to all the columns of the matrix, followed by a one-dimensional transform to all the rows of the matrix.
- cvxopt.fftw.dftn(X[, dims = X.size])¶
Replaces a dense complex matrix with its N-dimensional discrete Fourier transform. The dimensions of the N-dimensional matrix are given by the N-tuple
dims
. The two-dimensional transform is computed asdftn(X, X.size)
.
- cvxopt.fftw.idftn(X[, dims = X.size])¶
Replaces a dense complex N-dimensional matrix with its inverse N-dimensional discrete Fourier transform. The dimensions of the matrix are given by the tuple
dims
. The two-dimensional inverse transform is computed asidftn(X, X.size)
.
Discrete Cosine Transform¶
- cvxopt.fftw.dct(X[, type = 2])¶
Replaces the columns of a dense real matrix with their discrete cosine transforms. The second argument, an integer between 1 and 4, denotes the type of transform (DCT-I, DCT-II, DCT-III, DCT-IV). The DCT-I transform requires that the row dimension of
X
is at least 2. These transforms are defined as follows (for a matrix withSystem Message: WARNING/2 (n)
latex exited with error [stderr] kpathsea: Running mktexfmt latex.fmt mktexfmt: mktexfmt is using the following fmtutil.cnf files (in precedence order): mktexfmt: /usr/share/texmf-dist/web2c/fmtutil.cnf mktexfmt: mktexfmt is using the following fmtutil.cnf file for writing changes: mktexfmt: /usr/src/.texlive2021/texmf-config/web2c/fmtutil.cnf mktexfmt [INFO]: writing formats under /usr/src/.texlive2021/texmf-var/web2c mktexfmt [INFO]: --- remaking latex with pdftex mktexfmt: running `pdftex -ini -jobname=latex -progname=latex -translate-file=cp227.tcx *latex.ini' ... This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2021/Mageia) (INITEX) restricted \write18 enabled. (/usr/share/texmf-dist/web2c/cp227.tcx) entering extended mode (/usr/share/texmf-dist/tex/latex/latexconfig/latex.ini (/usr/share/texmf-dist/tex/generic/config/pdftexconfig.tex) (/usr/share/texmf-dist/tex/latex/base/latex.ltx (/usr/share/texmf-dist/tex/latex/base/texsys.cfg) ./texsys.aux found \@currdir set to: ./. Assuming \openin and \input have the same search path. Defining UNIX/DOS style filename parser. catcodes, registers, parameters, LaTeX2e <2020-10-01> patch level 4 (/usr/share/texmf-dist/tex/latex/l3kernel/expl3.ltx (/usr/share/texmf-dist/tex/latex/l3kernel/expl3-code.tex ! LaTeX3 Error: File 'UnicodeData.txt' not found. 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(/usr/share/texmf-dist/tex/generic/dehyph-exptl/dehypht-x-2021-02-26.pat German Hyphenation Patterns (Traditional Orthography) `dehypht-x' 2021-02-26 (W L))) (/usr/share/texmf-dist/tex/generic/dehyph-exptl/dehyphn-x-2021-02-26.tex dehyph-exptl: using an 8-bit TeX engine. (/usr/share/texmf-dist/tex/generic/dehyph-exptl/dehyphn-x-2021-02-26.pat German Hyphenation Patterns (Reformed Orthography, 2006) `dehyphn-x' 2021-02-26 (WL))) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-af.tex EC Afrikaans hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-af.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-grc.tex Hyphenation patterns for Ancient Greek (/usr/share/texmf-dist/tex/generic/hyphen/grahyph5.tex Hyphenation patterns for Ancient Greek)) (/usr/share/texmf-dist/tex/generic/hyphen/ibyhyph.tex Greek hyphenation patterns for Ibycus encoding, v3.0) (/usr/share/texmf-dist/tex/generic/hyphen/zerohyph.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-hy.tex No Armenian hyphenation patterns - only for Unicode engines) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-eu.tex EC Basque hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-eu.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-be.tex T2A Belarusian hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-t2a.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-be.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-bg.tex T2A Bulgarian hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-t2a.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-bg.tex Bulgarian hyphenation patterns (options: --safe-morphology --standalone-tex, ve rsion 21 October 2017))) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-ca.tex EC Catalan hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-ca.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-zh-latn-pinyin.t ex EC Pinyin Hyphenation Patterns (with tone markers) 2018-11-25 (WL) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/ptex/hyph-zh-latn-pinyin. ec.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-cu.tex No Church Slavonic hyphenation patterns - only for Unicode engines) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-cop.tex Coptic hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex-8bit/copthyph.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-hr.tex EC Croatian hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-hr.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-cs.tex EC Czech hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-cs.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-da.tex EC Danish hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-da.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-nl.tex EC Dutch hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-nl.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-en-gb.tex ASCII Hyphenation patterns for British English (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-en-gb.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-en-us.tex ASCII Hyphenation patterns for American English (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-en-us.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-eo.tex IL3 Esperanto hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-il3.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-eo.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-et.tex EC Estonian hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-et.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-mul-ethi.tex No Pan-Ethiopic hyphenation patterns - only for Unicode engines) (/usr/share/texmf-dist/tex/generic/hyphen/zerohyph.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-fi.tex EC Finnish hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-fi.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-fi-x-school.tex EC Finnish hyphenation patterns for school (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-fi-x-school.tex) ) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-fr.tex EC French hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-fr.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-fur.tex EC Friulan hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-fur.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-gl.tex EC Galician hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-gl.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-ka.tex T8M Georgian hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-t8m.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-ka.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-de-1901.tex EC German hyphenation patterns (traditional orthography) ! I can't find file `dehypht.tex'. l.29 \input dehypht.tex (Press Enter to retry, or Control-D to exit) Please type another input file name: ! Emergency stop. l.29 \input dehypht.tex No pages of output. Transcript written on latex.log. mktexfmt [INFO]: log file copied to: /usr/src/.texlive2021/texmf-var/web2c/pdftex/latex.log mktexfmt [ERROR]: running `pdftex -ini -jobname=latex -progname=latex -translate-file=cp227.tcx *latex.ini >&2 </dev/null' return status: 1 mktexfmt [ERROR]: returning error due to option --strict mktexfmt [INFO]: disabled formats: 5 mktexfmt [INFO]: not selected formats: 53 mktexfmt [INFO]: failed to build: 1 (pdftex/latex) mktexfmt [INFO]: total formats: 59 mktexfmt [INFO]: exiting with status 1 [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2021/Mageia) (preloaded format=latex) restricted \write18 enabled. I can't find the format file `latex.fmt'!
System Message: WARNING/2 (\mbox{DCT-I:} \qquad X[k,:] & := X[0,:] + (-1)^k X[n-1,:] + 2 \sum_{j=1}^{n-2} X[j,:] \cos(\pi j k /(n-1)), \qquad k=0,\ldots,n-1.\\ \mbox{DCT-II:} \qquad X[k,:] & := 2 \sum_{j=0}^{n-1} X[j,:] \cos(\pi(j+1/2)k/n), \qquad k=0,\ldots,n-1.\\ \mbox{DCT-III:} \qquad X[k,:] & := X[0,:] + 2 \sum_{j=1}^{n-1} X[j,:] \cos(\pi j(k+1/2)/n), \qquad k=0,\ldots,n-1.\\ \mbox{DCT-IV:} \qquad X[k,:] & := 2 \sum_{j=0}^{n-1} X[j,:] \cos(\pi (j+1/2)(k+1/2)/n), \qquad k=0,\ldots,n-1.)
latex exited with error [stderr] kpathsea: Running mktexfmt latex.fmt mktexfmt: mktexfmt is using the following fmtutil.cnf files (in precedence order): mktexfmt: /usr/share/texmf-dist/web2c/fmtutil.cnf mktexfmt: mktexfmt is using the following fmtutil.cnf file for writing changes: mktexfmt: /usr/src/.texlive2021/texmf-config/web2c/fmtutil.cnf mktexfmt [INFO]: writing formats under /usr/src/.texlive2021/texmf-var/web2c mktexfmt [INFO]: --- remaking latex with pdftex mktexfmt: running `pdftex -ini -jobname=latex -progname=latex -translate-file=cp227.tcx *latex.ini' ... This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2021/Mageia) (INITEX) restricted \write18 enabled. (/usr/share/texmf-dist/web2c/cp227.tcx) entering extended mode (/usr/share/texmf-dist/tex/latex/latexconfig/latex.ini (/usr/share/texmf-dist/tex/generic/config/pdftexconfig.tex) (/usr/share/texmf-dist/tex/latex/base/latex.ltx (/usr/share/texmf-dist/tex/latex/base/texsys.cfg) ./texsys.aux found \@currdir set to: ./. Assuming \openin and \input have the same search path. Defining UNIX/DOS style filename parser. catcodes, registers, parameters, LaTeX2e <2020-10-01> patch level 4 (/usr/share/texmf-dist/tex/latex/l3kernel/expl3.ltx (/usr/share/texmf-dist/tex/latex/l3kernel/expl3-code.tex ! LaTeX3 Error: File 'UnicodeData.txt' not found. For immediate help type H <return>. ... l.30209 } (/usr/share/texmf-dist/tex/latex/l3kernel/l3deprecation.def))) (/usr/share/texmf-dist/tex/latex/l3packages/xparse/xparse.ltx (/usr/share/texmf-dist/tex/latex/l3packages/xparse/xparse-generic.tex)) hacks, control, par, spacing, files, font encodings, lengths, ==================================== Local config file fonttext.cfg used ==================================== (/usr/share/texmf-dist/tex/latex/base/fonttext.cfg (/usr/share/texmf-dist/tex/latex/base/fonttext.ltx === Don't modify this file, use a .cfg file instead === (/usr/share/texmf-dist/tex/latex/base/omlenc.def) (/usr/share/texmf-dist/tex/latex/base/omsenc.def) (/usr/share/texmf-dist/tex/latex/base/ot1enc.def) (/usr/share/texmf-dist/tex/latex/base/t1enc.def) (/usr/share/texmf-dist/tex/latex/base/ts1enc.def) (/usr/share/texmf-dist/tex/latex/base/ts1cmr.fd) (/usr/share/texmf-dist/tex/latex/base/t1cmr.fd) (/usr/share/texmf-dist/tex/latex/base/ot1cmr.fd) (/usr/share/texmf-dist/tex/latex/base/ot1cmss.fd) (/usr/share/texmf-dist/tex/latex/base/ot1cmtt.fd))) ==================================== Local config file fontmath.cfg used ==================================== (/usr/share/texmf-dist/tex/latex/base/fontmath.cfg (/usr/share/texmf-dist/tex/latex/base/fontmath.ltx === Don't modify this file, use a .cfg file instead === (/usr/share/texmf-dist/tex/latex/base/omlcmm.fd) (/usr/share/texmf-dist/tex/latex/base/omscmsy.fd) (/usr/share/texmf-dist/tex/latex/base/omxcmex.fd) (/usr/share/texmf-dist/tex/latex/base/ucmr.fd))) ==================================== Local config file preload.cfg used ===================================== (/usr/share/texmf-dist/tex/latex/base/preload.cfg (/usr/share/texmf-dist/tex/latex/base/preload.ltx)) page nos., x-ref, environments, center, verbatim, math definitions, boxes, title, sectioning, contents, floats, footnotes, index, bibliography, output, =========================================== Local configuration file hyphen.cfg used =========================================== (/usr/share/texmf-dist/tex/generic/babel/hyphen.cfg (/usr/share/texmf-dist/tex/generic/hyphen/hyphen.tex) (/usr/share/texmf-dist/tex/generic/hyphen/dumyhyph.tex) (/usr/share/texmf-dist/tex/generic/hyphen/zerohyph.tex) (/usr/share/texmf-dist/tex/generic/dehyph-exptl/dehypht-x-2021-02-26.tex dehyph-exptl: using an 8-bit TeX engine. (/usr/share/texmf-dist/tex/generic/dehyph-exptl/dehypht-x-2021-02-26.pat German Hyphenation Patterns (Traditional Orthography) `dehypht-x' 2021-02-26 (W L))) (/usr/share/texmf-dist/tex/generic/dehyph-exptl/dehyphn-x-2021-02-26.tex dehyph-exptl: using an 8-bit TeX engine. (/usr/share/texmf-dist/tex/generic/dehyph-exptl/dehyphn-x-2021-02-26.pat German Hyphenation Patterns (Reformed Orthography, 2006) `dehyphn-x' 2021-02-26 (WL))) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-af.tex EC Afrikaans hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-af.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-grc.tex Hyphenation patterns for Ancient Greek (/usr/share/texmf-dist/tex/generic/hyphen/grahyph5.tex Hyphenation patterns for Ancient Greek)) (/usr/share/texmf-dist/tex/generic/hyphen/ibyhyph.tex Greek hyphenation patterns for Ibycus encoding, v3.0) (/usr/share/texmf-dist/tex/generic/hyphen/zerohyph.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-hy.tex No Armenian hyphenation patterns - only for Unicode engines) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-eu.tex EC Basque hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-eu.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-be.tex T2A Belarusian hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-t2a.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-be.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-bg.tex T2A Bulgarian hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-t2a.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-bg.tex Bulgarian hyphenation patterns (options: --safe-morphology --standalone-tex, ve rsion 21 October 2017))) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-ca.tex EC Catalan hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-ca.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-zh-latn-pinyin.t ex EC Pinyin Hyphenation Patterns (with tone markers) 2018-11-25 (WL) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/ptex/hyph-zh-latn-pinyin. ec.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-cu.tex No Church Slavonic hyphenation patterns - only for Unicode engines) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-cop.tex Coptic hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex-8bit/copthyph.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-hr.tex EC Croatian hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-hr.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-cs.tex EC Czech hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-cs.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-da.tex EC Danish hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-da.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-nl.tex EC Dutch hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-nl.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-en-gb.tex ASCII Hyphenation patterns for British English (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-en-gb.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-en-us.tex ASCII Hyphenation patterns for American English (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-en-us.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-eo.tex IL3 Esperanto hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-il3.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-eo.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-et.tex EC Estonian hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-et.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-mul-ethi.tex No Pan-Ethiopic hyphenation patterns - only for Unicode engines) (/usr/share/texmf-dist/tex/generic/hyphen/zerohyph.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-fi.tex EC Finnish hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-fi.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-fi-x-school.tex EC Finnish hyphenation patterns for school (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-fi-x-school.tex) ) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-fr.tex EC French hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-fr.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-fur.tex EC Friulan hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-fur.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-gl.tex EC Galician hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-gl.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-ka.tex T8M Georgian hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-t8m.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-ka.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-de-1901.tex EC German hyphenation patterns (traditional orthography) ! I can't find file `dehypht.tex'. l.29 \input dehypht.tex (Press Enter to retry, or Control-D to exit) Please type another input file name: ! Emergency stop. l.29 \input dehypht.tex No pages of output. Transcript written on latex.log. mktexfmt [INFO]: log file copied to: /usr/src/.texlive2021/texmf-var/web2c/pdftex/latex.log mktexfmt [ERROR]: running `pdftex -ini -jobname=latex -progname=latex -translate-file=cp227.tcx *latex.ini >&2 </dev/null' return status: 1 mktexfmt [ERROR]: returning error due to option --strict mktexfmt [INFO]: disabled formats: 5 mktexfmt [INFO]: not selected formats: 53 mktexfmt [INFO]: failed to build: 1 (pdftex/latex) mktexfmt [INFO]: total formats: 59 mktexfmt [INFO]: exiting with status 1 [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2021/Mageia) (preloaded format=latex) restricted \write18 enabled. I can't find the format file `latex.fmt'!
- cvxopt.fftw.idct(X[, type = 2])¶
Replaces the columns of a dense real matrix with the inverses of the discrete cosine transforms defined above.
The module also includes a discrete N-dimensional cosine transform. The input matrix is interpreted as an N-dimensional matrix stored in column-major order. The discrete N-dimensional cosine transform computes the corresponding one-dimensional transform along each dimension. For example, the two-dimensional transform applies a one-dimensional transform to all the rows of the matrix, followed by a one-dimensional transform to all the columns of the matrix.
- cvxopt.fftw.dctn(X[, dims = X.size, type = 2])¶
Replaces a dense real matrix with its N-dimensional discrete cosine transform. The dimensions of the N-dimensional matrix are given by the N-tuple
dims
. The two-dimensional transform is computed asdctn(X, X.size)
.
- cvxopt.fftw.idctn(X[, dims = X.size, type = 2])¶
Replaces a dense real N-dimensional matrix with its inverse N-dimensional discrete cosine transform. The dimensions of the matrix are given by the tuple
dims
. The two-dimensional inverse transform is computed asidctn(X, X.size)
.
Discrete Sine Transform¶
- cvxopt.fftw.dst(X, dims[, type = 1])¶
Replaces the columns of a dense real matrix with their discrete sine transforms. The second argument, an integer between 1 and 4, denotes the type of transform (DST-I, DST-II, DST-III, DST-IV). These transforms are defined as follows (for a matrix with
System Message: WARNING/2 (n)
latex exited with error [stderr] kpathsea: Running mktexfmt latex.fmt mktexfmt: mktexfmt is using the following fmtutil.cnf files (in precedence order): mktexfmt: /usr/share/texmf-dist/web2c/fmtutil.cnf mktexfmt: mktexfmt is using the following fmtutil.cnf file for writing changes: mktexfmt: /usr/src/.texlive2021/texmf-config/web2c/fmtutil.cnf mktexfmt [INFO]: writing formats under /usr/src/.texlive2021/texmf-var/web2c mktexfmt [INFO]: --- remaking latex with pdftex mktexfmt: running `pdftex -ini -jobname=latex -progname=latex -translate-file=cp227.tcx *latex.ini' ... This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2021/Mageia) (INITEX) restricted \write18 enabled. (/usr/share/texmf-dist/web2c/cp227.tcx) entering extended mode (/usr/share/texmf-dist/tex/latex/latexconfig/latex.ini (/usr/share/texmf-dist/tex/generic/config/pdftexconfig.tex) (/usr/share/texmf-dist/tex/latex/base/latex.ltx (/usr/share/texmf-dist/tex/latex/base/texsys.cfg) ./texsys.aux found \@currdir set to: ./. Assuming \openin and \input have the same search path. Defining UNIX/DOS style filename parser. catcodes, registers, parameters, LaTeX2e <2020-10-01> patch level 4 (/usr/share/texmf-dist/tex/latex/l3kernel/expl3.ltx (/usr/share/texmf-dist/tex/latex/l3kernel/expl3-code.tex ! LaTeX3 Error: File 'UnicodeData.txt' not found. For immediate help type H <return>. ... l.30209 } (/usr/share/texmf-dist/tex/latex/l3kernel/l3deprecation.def))) (/usr/share/texmf-dist/tex/latex/l3packages/xparse/xparse.ltx (/usr/share/texmf-dist/tex/latex/l3packages/xparse/xparse-generic.tex)) hacks, control, par, spacing, files, font encodings, lengths, ==================================== Local config file fonttext.cfg used ==================================== (/usr/share/texmf-dist/tex/latex/base/fonttext.cfg (/usr/share/texmf-dist/tex/latex/base/fonttext.ltx === Don't modify this file, use a .cfg file instead === (/usr/share/texmf-dist/tex/latex/base/omlenc.def) (/usr/share/texmf-dist/tex/latex/base/omsenc.def) (/usr/share/texmf-dist/tex/latex/base/ot1enc.def) (/usr/share/texmf-dist/tex/latex/base/t1enc.def) (/usr/share/texmf-dist/tex/latex/base/ts1enc.def) (/usr/share/texmf-dist/tex/latex/base/ts1cmr.fd) (/usr/share/texmf-dist/tex/latex/base/t1cmr.fd) (/usr/share/texmf-dist/tex/latex/base/ot1cmr.fd) (/usr/share/texmf-dist/tex/latex/base/ot1cmss.fd) (/usr/share/texmf-dist/tex/latex/base/ot1cmtt.fd))) ==================================== Local config file fontmath.cfg used ==================================== (/usr/share/texmf-dist/tex/latex/base/fontmath.cfg (/usr/share/texmf-dist/tex/latex/base/fontmath.ltx === Don't modify this file, use a .cfg file instead === (/usr/share/texmf-dist/tex/latex/base/omlcmm.fd) (/usr/share/texmf-dist/tex/latex/base/omscmsy.fd) (/usr/share/texmf-dist/tex/latex/base/omxcmex.fd) (/usr/share/texmf-dist/tex/latex/base/ucmr.fd))) ==================================== Local config file preload.cfg used ===================================== (/usr/share/texmf-dist/tex/latex/base/preload.cfg (/usr/share/texmf-dist/tex/latex/base/preload.ltx)) page nos., x-ref, environments, center, verbatim, math definitions, boxes, title, sectioning, contents, floats, footnotes, index, bibliography, output, =========================================== Local configuration file hyphen.cfg used =========================================== (/usr/share/texmf-dist/tex/generic/babel/hyphen.cfg (/usr/share/texmf-dist/tex/generic/hyphen/hyphen.tex) (/usr/share/texmf-dist/tex/generic/hyphen/dumyhyph.tex) (/usr/share/texmf-dist/tex/generic/hyphen/zerohyph.tex) (/usr/share/texmf-dist/tex/generic/dehyph-exptl/dehypht-x-2021-02-26.tex dehyph-exptl: using an 8-bit TeX engine. (/usr/share/texmf-dist/tex/generic/dehyph-exptl/dehypht-x-2021-02-26.pat German Hyphenation Patterns (Traditional Orthography) `dehypht-x' 2021-02-26 (W L))) (/usr/share/texmf-dist/tex/generic/dehyph-exptl/dehyphn-x-2021-02-26.tex dehyph-exptl: using an 8-bit TeX engine. (/usr/share/texmf-dist/tex/generic/dehyph-exptl/dehyphn-x-2021-02-26.pat German Hyphenation Patterns (Reformed Orthography, 2006) `dehyphn-x' 2021-02-26 (WL))) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-af.tex EC Afrikaans hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-af.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-grc.tex Hyphenation patterns for Ancient Greek (/usr/share/texmf-dist/tex/generic/hyphen/grahyph5.tex Hyphenation patterns for Ancient Greek)) (/usr/share/texmf-dist/tex/generic/hyphen/ibyhyph.tex Greek hyphenation patterns for Ibycus encoding, v3.0) (/usr/share/texmf-dist/tex/generic/hyphen/zerohyph.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-hy.tex No Armenian hyphenation patterns - only for Unicode engines) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-eu.tex EC Basque hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-eu.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-be.tex T2A Belarusian hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-t2a.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-be.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-bg.tex T2A Bulgarian hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-t2a.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-bg.tex Bulgarian hyphenation patterns (options: --safe-morphology --standalone-tex, ve rsion 21 October 2017))) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-ca.tex EC Catalan hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-ca.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-zh-latn-pinyin.t ex EC Pinyin Hyphenation Patterns (with tone markers) 2018-11-25 (WL) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/ptex/hyph-zh-latn-pinyin. ec.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-cu.tex No Church Slavonic hyphenation patterns - only for Unicode engines) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-cop.tex Coptic hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex-8bit/copthyph.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-hr.tex EC Croatian hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-hr.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-cs.tex EC Czech hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-cs.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-da.tex EC Danish hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-da.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-nl.tex EC Dutch hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-nl.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-en-gb.tex ASCII Hyphenation patterns for British English (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-en-gb.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-en-us.tex ASCII Hyphenation patterns for American English (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-en-us.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-eo.tex IL3 Esperanto hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-il3.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-eo.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-et.tex EC Estonian hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-et.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-mul-ethi.tex No Pan-Ethiopic hyphenation patterns - only for Unicode engines) (/usr/share/texmf-dist/tex/generic/hyphen/zerohyph.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-fi.tex EC Finnish hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-fi.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-fi-x-school.tex EC Finnish hyphenation patterns for school (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-fi-x-school.tex) ) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-fr.tex EC French hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-fr.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-fur.tex EC Friulan hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-fur.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-gl.tex EC Galician hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-gl.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-ka.tex T8M Georgian hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-t8m.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-ka.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-de-1901.tex EC German hyphenation patterns (traditional orthography) ! I can't find file `dehypht.tex'. l.29 \input dehypht.tex (Press Enter to retry, or Control-D to exit) Please type another input file name: ! Emergency stop. l.29 \input dehypht.tex No pages of output. Transcript written on latex.log. mktexfmt [INFO]: log file copied to: /usr/src/.texlive2021/texmf-var/web2c/pdftex/latex.log mktexfmt [ERROR]: running `pdftex -ini -jobname=latex -progname=latex -translate-file=cp227.tcx *latex.ini >&2 </dev/null' return status: 1 mktexfmt [ERROR]: returning error due to option --strict mktexfmt [INFO]: disabled formats: 5 mktexfmt [INFO]: not selected formats: 53 mktexfmt [INFO]: failed to build: 1 (pdftex/latex) mktexfmt [INFO]: total formats: 59 mktexfmt [INFO]: exiting with status 1 [stdout] This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2021/Mageia) (preloaded format=latex) restricted \write18 enabled. I can't find the format file `latex.fmt'!
System Message: WARNING/2 (\mbox{DST-I:} \qquad X[k,:] & := 2 \sum_{j=0}^{n-1} X[j,:] \sin(\pi(j+1)(k+1)/(n+1)), \qquad k=0,\ldots,n-1.\\ \mbox{DST-II:} \qquad X[k,:] & := 2 \sum_{j=0}^{n-1} X[j,:] \sin(\pi(j+1/2)(k+1)/n), \qquad k=0,\ldots,n-1.\\ \mbox{DST-III:} \qquad X[k,:] & := (-1)^k X[n-1,:] + 2 \sum_{j=0}^{n-2} X[j,:] \sin(\pi(j+1)(k+1/2)/n), \qquad k=0,\ldots,n-1. \\ \mbox{DST-IV:} \qquad X[k,:] & := 2 \sum_{j=0}^{n-1} X[j,:] \sin(\pi (j+1/2)(k+1/2)/n), \qquad k=0,\ldots,n-1.)
latex exited with error [stderr] kpathsea: Running mktexfmt latex.fmt mktexfmt: mktexfmt is using the following fmtutil.cnf files (in precedence order): mktexfmt: /usr/share/texmf-dist/web2c/fmtutil.cnf mktexfmt: mktexfmt is using the following fmtutil.cnf file for writing changes: mktexfmt: /usr/src/.texlive2021/texmf-config/web2c/fmtutil.cnf mktexfmt [INFO]: writing formats under /usr/src/.texlive2021/texmf-var/web2c mktexfmt [INFO]: --- remaking latex with pdftex mktexfmt: running `pdftex -ini -jobname=latex -progname=latex -translate-file=cp227.tcx *latex.ini' ... This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2021/Mageia) (INITEX) restricted \write18 enabled. (/usr/share/texmf-dist/web2c/cp227.tcx) entering extended mode (/usr/share/texmf-dist/tex/latex/latexconfig/latex.ini (/usr/share/texmf-dist/tex/generic/config/pdftexconfig.tex) (/usr/share/texmf-dist/tex/latex/base/latex.ltx (/usr/share/texmf-dist/tex/latex/base/texsys.cfg) ./texsys.aux found \@currdir set to: ./. Assuming \openin and \input have the same search path. Defining UNIX/DOS style filename parser. catcodes, registers, parameters, LaTeX2e <2020-10-01> patch level 4 (/usr/share/texmf-dist/tex/latex/l3kernel/expl3.ltx (/usr/share/texmf-dist/tex/latex/l3kernel/expl3-code.tex ! LaTeX3 Error: File 'UnicodeData.txt' not found. For immediate help type H <return>. ... l.30209 } (/usr/share/texmf-dist/tex/latex/l3kernel/l3deprecation.def))) (/usr/share/texmf-dist/tex/latex/l3packages/xparse/xparse.ltx (/usr/share/texmf-dist/tex/latex/l3packages/xparse/xparse-generic.tex)) hacks, control, par, spacing, files, font encodings, lengths, ==================================== Local config file fonttext.cfg used ==================================== (/usr/share/texmf-dist/tex/latex/base/fonttext.cfg (/usr/share/texmf-dist/tex/latex/base/fonttext.ltx === Don't modify this file, use a .cfg file instead === (/usr/share/texmf-dist/tex/latex/base/omlenc.def) (/usr/share/texmf-dist/tex/latex/base/omsenc.def) (/usr/share/texmf-dist/tex/latex/base/ot1enc.def) (/usr/share/texmf-dist/tex/latex/base/t1enc.def) (/usr/share/texmf-dist/tex/latex/base/ts1enc.def) (/usr/share/texmf-dist/tex/latex/base/ts1cmr.fd) (/usr/share/texmf-dist/tex/latex/base/t1cmr.fd) (/usr/share/texmf-dist/tex/latex/base/ot1cmr.fd) (/usr/share/texmf-dist/tex/latex/base/ot1cmss.fd) (/usr/share/texmf-dist/tex/latex/base/ot1cmtt.fd))) ==================================== Local config file fontmath.cfg used ==================================== (/usr/share/texmf-dist/tex/latex/base/fontmath.cfg (/usr/share/texmf-dist/tex/latex/base/fontmath.ltx === Don't modify this file, use a .cfg file instead === (/usr/share/texmf-dist/tex/latex/base/omlcmm.fd) (/usr/share/texmf-dist/tex/latex/base/omscmsy.fd) (/usr/share/texmf-dist/tex/latex/base/omxcmex.fd) (/usr/share/texmf-dist/tex/latex/base/ucmr.fd))) ==================================== Local config file preload.cfg used ===================================== (/usr/share/texmf-dist/tex/latex/base/preload.cfg (/usr/share/texmf-dist/tex/latex/base/preload.ltx)) page nos., x-ref, environments, center, verbatim, math definitions, boxes, title, sectioning, contents, floats, footnotes, index, bibliography, output, =========================================== Local configuration file hyphen.cfg used =========================================== (/usr/share/texmf-dist/tex/generic/babel/hyphen.cfg (/usr/share/texmf-dist/tex/generic/hyphen/hyphen.tex) (/usr/share/texmf-dist/tex/generic/hyphen/dumyhyph.tex) (/usr/share/texmf-dist/tex/generic/hyphen/zerohyph.tex) (/usr/share/texmf-dist/tex/generic/dehyph-exptl/dehypht-x-2021-02-26.tex dehyph-exptl: using an 8-bit TeX engine. (/usr/share/texmf-dist/tex/generic/dehyph-exptl/dehypht-x-2021-02-26.pat German Hyphenation Patterns (Traditional Orthography) `dehypht-x' 2021-02-26 (W L))) (/usr/share/texmf-dist/tex/generic/dehyph-exptl/dehyphn-x-2021-02-26.tex dehyph-exptl: using an 8-bit TeX engine. (/usr/share/texmf-dist/tex/generic/dehyph-exptl/dehyphn-x-2021-02-26.pat German Hyphenation Patterns (Reformed Orthography, 2006) `dehyphn-x' 2021-02-26 (WL))) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-af.tex EC Afrikaans hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-af.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-grc.tex Hyphenation patterns for Ancient Greek (/usr/share/texmf-dist/tex/generic/hyphen/grahyph5.tex Hyphenation patterns for Ancient Greek)) (/usr/share/texmf-dist/tex/generic/hyphen/ibyhyph.tex Greek hyphenation patterns for Ibycus encoding, v3.0) (/usr/share/texmf-dist/tex/generic/hyphen/zerohyph.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-hy.tex No Armenian hyphenation patterns - only for Unicode engines) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-eu.tex EC Basque hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-eu.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-be.tex T2A Belarusian hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-t2a.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-be.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-bg.tex T2A Bulgarian hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-t2a.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-bg.tex Bulgarian hyphenation patterns (options: --safe-morphology --standalone-tex, ve rsion 21 October 2017))) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-ca.tex EC Catalan hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-ca.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-zh-latn-pinyin.t ex EC Pinyin Hyphenation Patterns (with tone markers) 2018-11-25 (WL) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/ptex/hyph-zh-latn-pinyin. ec.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-cu.tex No Church Slavonic hyphenation patterns - only for Unicode engines) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-cop.tex Coptic hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex-8bit/copthyph.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-hr.tex EC Croatian hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-hr.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-cs.tex EC Czech hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-cs.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-da.tex EC Danish hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-da.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-nl.tex EC Dutch hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-nl.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-en-gb.tex ASCII Hyphenation patterns for British English (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-en-gb.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-en-us.tex ASCII Hyphenation patterns for American English (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-en-us.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-eo.tex IL3 Esperanto hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-il3.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-eo.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-et.tex EC Estonian hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-et.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-mul-ethi.tex No Pan-Ethiopic hyphenation patterns - only for Unicode engines) (/usr/share/texmf-dist/tex/generic/hyphen/zerohyph.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-fi.tex EC Finnish hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-fi.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-fi-x-school.tex EC Finnish hyphenation patterns for school (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-fi-x-school.tex) ) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-fr.tex EC French hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-fr.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-fur.tex EC Friulan hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-fur.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-gl.tex EC Galician hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-ec.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-gl.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-ka.tex T8M Georgian hyphenation patterns (/usr/share/texmf-dist/tex/generic/hyph-utf8/conversions/conv-utf8-t8m.tex) (/usr/share/texmf-dist/tex/generic/hyph-utf8/patterns/tex/hyph-ka.tex)) (/usr/share/texmf-dist/tex/generic/hyph-utf8/loadhyph/loadhyph-de-1901.tex EC German hyphenation patterns (traditional orthography) ! 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- cvxopt.fftw.idst(X, dims[, type = 1])¶
Replaces the columns of a dense real matrix with the inverses of the discrete sine transforms defined above.
The module also includes a discrete N-dimensional sine transform. The input matrix is interpreted as an N-dimensional matrix stored in column-major order. The discrete N-dimensional sine transform computes the corresponding one-dimensional transform along each dimension. For example, the two-dimensional transform applies a one-dimensional transform to all the rows of the matrix, followed by a one-dimensional transform to all the columns of the matrix.
- cvxopt.fftw.dstn(X[, dims = X.size, type = 2])¶
Replaces a dense real matrix with its N-dimensional discrete sine transform. The dimensions of the N-dimensional matrix are given by the N-tuple
dims
. The two-dimensional transform is computed asdstn(X, X.size)
.
- cvxopt.fftw.idstn(X[, dims = X.size, type = 2])¶
Replaces a dense real N-dimensional matrix with its inverse N-dimensional discrete sine transform. The dimensions of the matrix are given by the tuple
dims
. The two-dimensional inverse transform is computed asidstn(X, X.size)
.