# This file was generated by _generate_pyx.py.
# Do not edit this file directly.
"""
LAPACK functions for Cython
===========================

Usable from Cython via::

    cimport scipy.linalg.cython_lapack

This module provides Cython-level wrappers for all primary routines included
in LAPACK 3.4.0 except for ``zcgesv`` since its interface is not consistent
from LAPACK 3.4.0 to 3.6.0. It also provides some of the
fixed-api auxiliary routines.

These wrappers do not check for alignment of arrays.
Alignment should be checked before these wrappers are used.

Raw function pointers (Fortran-style pointer arguments):

- cbbcsd
- cbdsqr
- cgbbrd
- cgbcon
- cgbequ
- cgbequb
- cgbrfs
- cgbsv
- cgbsvx
- cgbtf2
- cgbtrf
- cgbtrs
- cgebak
- cgebal
- cgebd2
- cgebrd
- cgecon
- cgeequ
- cgeequb
- cgees
- cgeesx
- cgeev
- cgeevx
- cgehd2
- cgehrd
- cgelq2
- cgelqf
- cgels
- cgelsd
- cgelss
- cgelsy
- cgemqrt
- cgeql2
- cgeqlf
- cgeqp3
- cgeqr2
- cgeqr2p
- cgeqrf
- cgeqrfp
- cgeqrt
- cgeqrt2
- cgeqrt3
- cgerfs
- cgerq2
- cgerqf
- cgesc2
- cgesdd
- cgesv
- cgesvd
- cgesvx
- cgetc2
- cgetf2
- cgetrf
- cgetri
- cgetrs
- cggbak
- cggbal
- cgges
- cggesx
- cggev
- cggevx
- cggglm
- cgghrd
- cgglse
- cggqrf
- cggrqf
- cgtcon
- cgtrfs
- cgtsv
- cgtsvx
- cgttrf
- cgttrs
- cgtts2
- chbev
- chbevd
- chbevx
- chbgst
- chbgv
- chbgvd
- chbgvx
- chbtrd
- checon
- cheequb
- cheev
- cheevd
- cheevr
- cheevx
- chegs2
- chegst
- chegv
- chegvd
- chegvx
- cherfs
- chesv
- chesvx
- cheswapr
- chetd2
- chetf2
- chetrd
- chetrf
- chetri
- chetri2
- chetri2x
- chetrs
- chetrs2
- chfrk
- chgeqz
- chla_transtype
- chpcon
- chpev
- chpevd
- chpevx
- chpgst
- chpgv
- chpgvd
- chpgvx
- chprfs
- chpsv
- chpsvx
- chptrd
- chptrf
- chptri
- chptrs
- chsein
- chseqr
- clabrd
- clacgv
- clacn2
- clacon
- clacp2
- clacpy
- clacrm
- clacrt
- cladiv
- claed0
- claed7
- claed8
- claein
- claesy
- claev2
- clag2z
- clags2
- clagtm
- clahef
- clahqr
- clahr2
- claic1
- clals0
- clalsa
- clalsd
- clangb
- clange
- clangt
- clanhb
- clanhe
- clanhf
- clanhp
- clanhs
- clanht
- clansb
- clansp
- clansy
- clantb
- clantp
- clantr
- clapll
- clapmr
- clapmt
- claqgb
- claqge
- claqhb
- claqhe
- claqhp
- claqp2
- claqps
- claqr0
- claqr1
- claqr2
- claqr3
- claqr4
- claqr5
- claqsb
- claqsp
- claqsy
- clar1v
- clar2v
- clarcm
- clarf
- clarfb
- clarfg
- clarfgp
- clarft
- clarfx
- clargv
- clarnv
- clarrv
- clartg
- clartv
- clarz
- clarzb
- clarzt
- clascl
- claset
- clasr
- classq
- claswp
- clasyf
- clatbs
- clatdf
- clatps
- clatrd
- clatrs
- clatrz
- clauu2
- clauum
- cpbcon
- cpbequ
- cpbrfs
- cpbstf
- cpbsv
- cpbsvx
- cpbtf2
- cpbtrf
- cpbtrs
- cpftrf
- cpftri
- cpftrs
- cpocon
- cpoequ
- cpoequb
- cporfs
- cposv
- cposvx
- cpotf2
- cpotrf
- cpotri
- cpotrs
- cppcon
- cppequ
- cpprfs
- cppsv
- cppsvx
- cpptrf
- cpptri
- cpptrs
- cpstf2
- cpstrf
- cptcon
- cpteqr
- cptrfs
- cptsv
- cptsvx
- cpttrf
- cpttrs
- cptts2
- crot
- cspcon
- cspmv
- cspr
- csprfs
- cspsv
- cspsvx
- csptrf
- csptri
- csptrs
- csrscl
- cstedc
- cstegr
- cstein
- cstemr
- csteqr
- csycon
- csyconv
- csyequb
- csymv
- csyr
- csyrfs
- csysv
- csysvx
- csyswapr
- csytf2
- csytrf
- csytri
- csytri2
- csytri2x
- csytrs
- csytrs2
- ctbcon
- ctbrfs
- ctbtrs
- ctfsm
- ctftri
- ctfttp
- ctfttr
- ctgevc
- ctgex2
- ctgexc
- ctgsen
- ctgsja
- ctgsna
- ctgsy2
- ctgsyl
- ctpcon
- ctpmqrt
- ctpqrt
- ctpqrt2
- ctprfb
- ctprfs
- ctptri
- ctptrs
- ctpttf
- ctpttr
- ctrcon
- ctrevc
- ctrexc
- ctrrfs
- ctrsen
- ctrsna
- ctrsyl
- ctrti2
- ctrtri
- ctrtrs
- ctrttf
- ctrttp
- ctzrzf
- cunbdb
- cuncsd
- cung2l
- cung2r
- cungbr
- cunghr
- cungl2
- cunglq
- cungql
- cungqr
- cungr2
- cungrq
- cungtr
- cunm2l
- cunm2r
- cunmbr
- cunmhr
- cunml2
- cunmlq
- cunmql
- cunmqr
- cunmr2
- cunmr3
- cunmrq
- cunmrz
- cunmtr
- cupgtr
- cupmtr
- dbbcsd
- dbdsdc
- dbdsqr
- ddisna
- dgbbrd
- dgbcon
- dgbequ
- dgbequb
- dgbrfs
- dgbsv
- dgbsvx
- dgbtf2
- dgbtrf
- dgbtrs
- dgebak
- dgebal
- dgebd2
- dgebrd
- dgecon
- dgeequ
- dgeequb
- dgees
- dgeesx
- dgeev
- dgeevx
- dgehd2
- dgehrd
- dgejsv
- dgelq2
- dgelqf
- dgels
- dgelsd
- dgelss
- dgelsy
- dgemqrt
- dgeql2
- dgeqlf
- dgeqp3
- dgeqr2
- dgeqr2p
- dgeqrf
- dgeqrfp
- dgeqrt
- dgeqrt2
- dgeqrt3
- dgerfs
- dgerq2
- dgerqf
- dgesc2
- dgesdd
- dgesv
- dgesvd
- dgesvj
- dgesvx
- dgetc2
- dgetf2
- dgetrf
- dgetri
- dgetrs
- dggbak
- dggbal
- dgges
- dggesx
- dggev
- dggevx
- dggglm
- dgghrd
- dgglse
- dggqrf
- dggrqf
- dgsvj0
- dgsvj1
- dgtcon
- dgtrfs
- dgtsv
- dgtsvx
- dgttrf
- dgttrs
- dgtts2
- dhgeqz
- dhsein
- dhseqr
- disnan
- dlabad
- dlabrd
- dlacn2
- dlacon
- dlacpy
- dladiv
- dlae2
- dlaebz
- dlaed0
- dlaed1
- dlaed2
- dlaed3
- dlaed4
- dlaed5
- dlaed6
- dlaed7
- dlaed8
- dlaed9
- dlaeda
- dlaein
- dlaev2
- dlaexc
- dlag2
- dlag2s
- dlags2
- dlagtf
- dlagtm
- dlagts
- dlagv2
- dlahqr
- dlahr2
- dlaic1
- dlaln2
- dlals0
- dlalsa
- dlalsd
- dlamch
- dlamrg
- dlaneg
- dlangb
- dlange
- dlangt
- dlanhs
- dlansb
- dlansf
- dlansp
- dlanst
- dlansy
- dlantb
- dlantp
- dlantr
- dlanv2
- dlapll
- dlapmr
- dlapmt
- dlapy2
- dlapy3
- dlaqgb
- dlaqge
- dlaqp2
- dlaqps
- dlaqr0
- dlaqr1
- dlaqr2
- dlaqr3
- dlaqr4
- dlaqr5
- dlaqsb
- dlaqsp
- dlaqsy
- dlaqtr
- dlar1v
- dlar2v
- dlarf
- dlarfb
- dlarfg
- dlarfgp
- dlarft
- dlarfx
- dlargv
- dlarnv
- dlarra
- dlarrb
- dlarrc
- dlarrd
- dlarre
- dlarrf
- dlarrj
- dlarrk
- dlarrr
- dlarrv
- dlartg
- dlartgp
- dlartgs
- dlartv
- dlaruv
- dlarz
- dlarzb
- dlarzt
- dlas2
- dlascl
- dlasd0
- dlasd1
- dlasd2
- dlasd3
- dlasd4
- dlasd5
- dlasd6
- dlasd7
- dlasd8
- dlasda
- dlasdq
- dlasdt
- dlaset
- dlasq1
- dlasq2
- dlasq3
- dlasq4
- dlasq6
- dlasr
- dlasrt
- dlassq
- dlasv2
- dlaswp
- dlasy2
- dlasyf
- dlat2s
- dlatbs
- dlatdf
- dlatps
- dlatrd
- dlatrs
- dlatrz
- dlauu2
- dlauum
- dopgtr
- dopmtr
- dorbdb
- dorcsd
- dorg2l
- dorg2r
- dorgbr
- dorghr
- dorgl2
- dorglq
- dorgql
- dorgqr
- dorgr2
- dorgrq
- dorgtr
- dorm2l
- dorm2r
- dormbr
- dormhr
- dorml2
- dormlq
- dormql
- dormqr
- dormr2
- dormr3
- dormrq
- dormrz
- dormtr
- dpbcon
- dpbequ
- dpbrfs
- dpbstf
- dpbsv
- dpbsvx
- dpbtf2
- dpbtrf
- dpbtrs
- dpftrf
- dpftri
- dpftrs
- dpocon
- dpoequ
- dpoequb
- dporfs
- dposv
- dposvx
- dpotf2
- dpotrf
- dpotri
- dpotrs
- dppcon
- dppequ
- dpprfs
- dppsv
- dppsvx
- dpptrf
- dpptri
- dpptrs
- dpstf2
- dpstrf
- dptcon
- dpteqr
- dptrfs
- dptsv
- dptsvx
- dpttrf
- dpttrs
- dptts2
- drscl
- dsbev
- dsbevd
- dsbevx
- dsbgst
- dsbgv
- dsbgvd
- dsbgvx
- dsbtrd
- dsfrk
- dsgesv
- dspcon
- dspev
- dspevd
- dspevx
- dspgst
- dspgv
- dspgvd
- dspgvx
- dsposv
- dsprfs
- dspsv
- dspsvx
- dsptrd
- dsptrf
- dsptri
- dsptrs
- dstebz
- dstedc
- dstegr
- dstein
- dstemr
- dsteqr
- dsterf
- dstev
- dstevd
- dstevr
- dstevx
- dsycon
- dsyconv
- dsyequb
- dsyev
- dsyevd
- dsyevr
- dsyevx
- dsygs2
- dsygst
- dsygv
- dsygvd
- dsygvx
- dsyrfs
- dsysv
- dsysvx
- dsyswapr
- dsytd2
- dsytf2
- dsytrd
- dsytrf
- dsytri
- dsytri2
- dsytri2x
- dsytrs
- dsytrs2
- dtbcon
- dtbrfs
- dtbtrs
- dtfsm
- dtftri
- dtfttp
- dtfttr
- dtgevc
- dtgex2
- dtgexc
- dtgsen
- dtgsja
- dtgsna
- dtgsy2
- dtgsyl
- dtpcon
- dtpmqrt
- dtpqrt
- dtpqrt2
- dtprfb
- dtprfs
- dtptri
- dtptrs
- dtpttf
- dtpttr
- dtrcon
- dtrevc
- dtrexc
- dtrrfs
- dtrsen
- dtrsna
- dtrsyl
- dtrti2
- dtrtri
- dtrtrs
- dtrttf
- dtrttp
- dtzrzf
- dzsum1
- icmax1
- ieeeck
- ilaclc
- ilaclr
- iladiag
- iladlc
- iladlr
- ilaprec
- ilaslc
- ilaslr
- ilatrans
- ilauplo
- ilaver
- ilazlc
- ilazlr
- izmax1
- sbbcsd
- sbdsdc
- sbdsqr
- scsum1
- sdisna
- sgbbrd
- sgbcon
- sgbequ
- sgbequb
- sgbrfs
- sgbsv
- sgbsvx
- sgbtf2
- sgbtrf
- sgbtrs
- sgebak
- sgebal
- sgebd2
- sgebrd
- sgecon
- sgeequ
- sgeequb
- sgees
- sgeesx
- sgeev
- sgeevx
- sgehd2
- sgehrd
- sgejsv
- sgelq2
- sgelqf
- sgels
- sgelsd
- sgelss
- sgelsy
- sgemqrt
- sgeql2
- sgeqlf
- sgeqp3
- sgeqr2
- sgeqr2p
- sgeqrf
- sgeqrfp
- sgeqrt
- sgeqrt2
- sgeqrt3
- sgerfs
- sgerq2
- sgerqf
- sgesc2
- sgesdd
- sgesv
- sgesvd
- sgesvj
- sgesvx
- sgetc2
- sgetf2
- sgetrf
- sgetri
- sgetrs
- sggbak
- sggbal
- sgges
- sggesx
- sggev
- sggevx
- sggglm
- sgghrd
- sgglse
- sggqrf
- sggrqf
- sgsvj0
- sgsvj1
- sgtcon
- sgtrfs
- sgtsv
- sgtsvx
- sgttrf
- sgttrs
- sgtts2
- shgeqz
- shsein
- shseqr
- slabad
- slabrd
- slacn2
- slacon
- slacpy
- sladiv
- slae2
- slaebz
- slaed0
- slaed1
- slaed2
- slaed3
- slaed4
- slaed5
- slaed6
- slaed7
- slaed8
- slaed9
- slaeda
- slaein
- slaev2
- slaexc
- slag2
- slag2d
- slags2
- slagtf
- slagtm
- slagts
- slagv2
- slahqr
- slahr2
- slaic1
- slaln2
- slals0
- slalsa
- slalsd
- slamch
- slamrg
- slangb
- slange
- slangt
- slanhs
- slansb
- slansf
- slansp
- slanst
- slansy
- slantb
- slantp
- slantr
- slanv2
- slapll
- slapmr
- slapmt
- slapy2
- slapy3
- slaqgb
- slaqge
- slaqp2
- slaqps
- slaqr0
- slaqr1
- slaqr2
- slaqr3
- slaqr4
- slaqr5
- slaqsb
- slaqsp
- slaqsy
- slaqtr
- slar1v
- slar2v
- slarf
- slarfb
- slarfg
- slarfgp
- slarft
- slarfx
- slargv
- slarnv
- slarra
- slarrb
- slarrc
- slarrd
- slarre
- slarrf
- slarrj
- slarrk
- slarrr
- slarrv
- slartg
- slartgp
- slartgs
- slartv
- slaruv
- slarz
- slarzb
- slarzt
- slas2
- slascl
- slasd0
- slasd1
- slasd2
- slasd3
- slasd4
- slasd5
- slasd6
- slasd7
- slasd8
- slasda
- slasdq
- slasdt
- slaset
- slasq1
- slasq2
- slasq3
- slasq4
- slasq6
- slasr
- slasrt
- slassq
- slasv2
- slaswp
- slasy2
- slasyf
- slatbs
- slatdf
- slatps
- slatrd
- slatrs
- slatrz
- slauu2
- slauum
- sopgtr
- sopmtr
- sorbdb
- sorcsd
- sorg2l
- sorg2r
- sorgbr
- sorghr
- sorgl2
- sorglq
- sorgql
- sorgqr
- sorgr2
- sorgrq
- sorgtr
- sorm2l
- sorm2r
- sormbr
- sormhr
- sorml2
- sormlq
- sormql
- sormqr
- sormr2
- sormr3
- sormrq
- sormrz
- sormtr
- spbcon
- spbequ
- spbrfs
- spbstf
- spbsv
- spbsvx
- spbtf2
- spbtrf
- spbtrs
- spftrf
- spftri
- spftrs
- spocon
- spoequ
- spoequb
- sporfs
- sposv
- sposvx
- spotf2
- spotrf
- spotri
- spotrs
- sppcon
- sppequ
- spprfs
- sppsv
- sppsvx
- spptrf
- spptri
- spptrs
- spstf2
- spstrf
- sptcon
- spteqr
- sptrfs
- sptsv
- sptsvx
- spttrf
- spttrs
- sptts2
- srscl
- ssbev
- ssbevd
- ssbevx
- ssbgst
- ssbgv
- ssbgvd
- ssbgvx
- ssbtrd
- ssfrk
- sspcon
- sspev
- sspevd
- sspevx
- sspgst
- sspgv
- sspgvd
- sspgvx
- ssprfs
- sspsv
- sspsvx
- ssptrd
- ssptrf
- ssptri
- ssptrs
- sstebz
- sstedc
- sstegr
- sstein
- sstemr
- ssteqr
- ssterf
- sstev
- sstevd
- sstevr
- sstevx
- ssycon
- ssyconv
- ssyequb
- ssyev
- ssyevd
- ssyevr
- ssyevx
- ssygs2
- ssygst
- ssygv
- ssygvd
- ssygvx
- ssyrfs
- ssysv
- ssysvx
- ssyswapr
- ssytd2
- ssytf2
- ssytrd
- ssytrf
- ssytri
- ssytri2
- ssytri2x
- ssytrs
- ssytrs2
- stbcon
- stbrfs
- stbtrs
- stfsm
- stftri
- stfttp
- stfttr
- stgevc
- stgex2
- stgexc
- stgsen
- stgsja
- stgsna
- stgsy2
- stgsyl
- stpcon
- stpmqrt
- stpqrt
- stpqrt2
- stprfb
- stprfs
- stptri
- stptrs
- stpttf
- stpttr
- strcon
- strevc
- strexc
- strrfs
- strsen
- strsna
- strsyl
- strti2
- strtri
- strtrs
- strttf
- strttp
- stzrzf
- xerbla_array
- zbbcsd
- zbdsqr
- zcgesv
- zcposv
- zdrscl
- zgbbrd
- zgbcon
- zgbequ
- zgbequb
- zgbrfs
- zgbsv
- zgbsvx
- zgbtf2
- zgbtrf
- zgbtrs
- zgebak
- zgebal
- zgebd2
- zgebrd
- zgecon
- zgeequ
- zgeequb
- zgees
- zgeesx
- zgeev
- zgeevx
- zgehd2
- zgehrd
- zgelq2
- zgelqf
- zgels
- zgelsd
- zgelss
- zgelsy
- zgemqrt
- zgeql2
- zgeqlf
- zgeqp3
- zgeqr2
- zgeqr2p
- zgeqrf
- zgeqrfp
- zgeqrt
- zgeqrt2
- zgeqrt3
- zgerfs
- zgerq2
- zgerqf
- zgesc2
- zgesdd
- zgesv
- zgesvd
- zgesvx
- zgetc2
- zgetf2
- zgetrf
- zgetri
- zgetrs
- zggbak
- zggbal
- zgges
- zggesx
- zggev
- zggevx
- zggglm
- zgghrd
- zgglse
- zggqrf
- zggrqf
- zgtcon
- zgtrfs
- zgtsv
- zgtsvx
- zgttrf
- zgttrs
- zgtts2
- zhbev
- zhbevd
- zhbevx
- zhbgst
- zhbgv
- zhbgvd
- zhbgvx
- zhbtrd
- zhecon
- zheequb
- zheev
- zheevd
- zheevr
- zheevx
- zhegs2
- zhegst
- zhegv
- zhegvd
- zhegvx
- zherfs
- zhesv
- zhesvx
- zheswapr
- zhetd2
- zhetf2
- zhetrd
- zhetrf
- zhetri
- zhetri2
- zhetri2x
- zhetrs
- zhetrs2
- zhfrk
- zhgeqz
- zhpcon
- zhpev
- zhpevd
- zhpevx
- zhpgst
- zhpgv
- zhpgvd
- zhpgvx
- zhprfs
- zhpsv
- zhpsvx
- zhptrd
- zhptrf
- zhptri
- zhptrs
- zhsein
- zhseqr
- zlabrd
- zlacgv
- zlacn2
- zlacon
- zlacp2
- zlacpy
- zlacrm
- zlacrt
- zladiv
- zlaed0
- zlaed7
- zlaed8
- zlaein
- zlaesy
- zlaev2
- zlag2c
- zlags2
- zlagtm
- zlahef
- zlahqr
- zlahr2
- zlaic1
- zlals0
- zlalsa
- zlalsd
- zlangb
- zlange
- zlangt
- zlanhb
- zlanhe
- zlanhf
- zlanhp
- zlanhs
- zlanht
- zlansb
- zlansp
- zlansy
- zlantb
- zlantp
- zlantr
- zlapll
- zlapmr
- zlapmt
- zlaqgb
- zlaqge
- zlaqhb
- zlaqhe
- zlaqhp
- zlaqp2
- zlaqps
- zlaqr0
- zlaqr1
- zlaqr2
- zlaqr3
- zlaqr4
- zlaqr5
- zlaqsb
- zlaqsp
- zlaqsy
- zlar1v
- zlar2v
- zlarcm
- zlarf
- zlarfb
- zlarfg
- zlarfgp
- zlarft
- zlarfx
- zlargv
- zlarnv
- zlarrv
- zlartg
- zlartv
- zlarz
- zlarzb
- zlarzt
- zlascl
- zlaset
- zlasr
- zlassq
- zlaswp
- zlasyf
- zlat2c
- zlatbs
- zlatdf
- zlatps
- zlatrd
- zlatrs
- zlatrz
- zlauu2
- zlauum
- zpbcon
- zpbequ
- zpbrfs
- zpbstf
- zpbsv
- zpbsvx
- zpbtf2
- zpbtrf
- zpbtrs
- zpftrf
- zpftri
- zpftrs
- zpocon
- zpoequ
- zpoequb
- zporfs
- zposv
- zposvx
- zpotf2
- zpotrf
- zpotri
- zpotrs
- zppcon
- zppequ
- zpprfs
- zppsv
- zppsvx
- zpptrf
- zpptri
- zpptrs
- zpstf2
- zpstrf
- zptcon
- zpteqr
- zptrfs
- zptsv
- zptsvx
- zpttrf
- zpttrs
- zptts2
- zrot
- zspcon
- zspmv
- zspr
- zsprfs
- zspsv
- zspsvx
- zsptrf
- zsptri
- zsptrs
- zstedc
- zstegr
- zstein
- zstemr
- zsteqr
- zsycon
- zsyconv
- zsyequb
- zsymv
- zsyr
- zsyrfs
- zsysv
- zsysvx
- zsyswapr
- zsytf2
- zsytrf
- zsytri
- zsytri2
- zsytri2x
- zsytrs
- zsytrs2
- ztbcon
- ztbrfs
- ztbtrs
- ztfsm
- ztftri
- ztfttp
- ztfttr
- ztgevc
- ztgex2
- ztgexc
- ztgsen
- ztgsja
- ztgsna
- ztgsy2
- ztgsyl
- ztpcon
- ztpmqrt
- ztpqrt
- ztpqrt2
- ztprfb
- ztprfs
- ztptri
- ztptrs
- ztpttf
- ztpttr
- ztrcon
- ztrevc
- ztrexc
- ztrrfs
- ztrsen
- ztrsna
- ztrsyl
- ztrti2
- ztrtri
- ztrtrs
- ztrttf
- ztrttp
- ztzrzf
- zunbdb
- zuncsd
- zung2l
- zung2r
- zungbr
- zunghr
- zungl2
- zunglq
- zungql
- zungqr
- zungr2
- zungrq
- zungtr
- zunm2l
- zunm2r
- zunmbr
- zunmhr
- zunml2
- zunmlq
- zunmql
- zunmqr
- zunmr2
- zunmr3
- zunmrq
- zunmrz
- zunmtr
- zupgtr
- zupmtr


"""

# Within SciPy, these wrappers can be used via relative or absolute cimport.
# Examples:
# from ..linalg cimport cython_lapack
# from scipy.linalg cimport cython_lapack
# cimport scipy.linalg.cython_lapack as cython_lapack
# cimport ..linalg.cython_lapack as cython_lapack

# Within SciPy, if LAPACK functions are needed in C/C++/Fortran,
# these wrappers should not be used.
# The original libraries should be linked directly.

cdef extern from "fortran_defs.h":
    pass

from numpy cimport npy_complex64, npy_complex128

cdef extern from "_lapack_subroutines.h":
    # Function pointer type declarations for
    # gees and gges families of functions.
    ctypedef bint _cselect1(npy_complex64*)
    ctypedef bint _cselect2(npy_complex64*, npy_complex64*)
    ctypedef bint _dselect2(d*, d*)
    ctypedef bint _dselect3(d*, d*, d*)
    ctypedef bint _sselect2(s*, s*)
    ctypedef bint _sselect3(s*, s*, s*)
    ctypedef bint _zselect1(npy_complex128*)
    ctypedef bint _zselect2(npy_complex128*, npy_complex128*)


cdef extern from "_lapack_subroutines.h":
    void _fortran_cbbcsd "BLAS_FUNC(cbbcsd)"(char *jobu1, char *jobu2, char *jobv1t, char *jobv2t, char *trans, int *m, int *p, int *q, s *theta, s *phi, npy_complex64 *u1, int *ldu1, npy_complex64 *u2, int *ldu2, npy_complex64 *v1t, int *ldv1t, npy_complex64 *v2t, int *ldv2t, s *b11d, s *b11e, s *b12d, s *b12e, s *b21d, s *b21e, s *b22d, s *b22e, s *rwork, int *lrwork, int *info) nogil
cdef void cbbcsd(char *jobu1, char *jobu2, char *jobv1t, char *jobv2t, char *trans, int *m, int *p, int *q, s *theta, s *phi, c *u1, int *ldu1, c *u2, int *ldu2, c *v1t, int *ldv1t, c *v2t, int *ldv2t, s *b11d, s *b11e, s *b12d, s *b12e, s *b21d, s *b21e, s *b22d, s *b22e, s *rwork, int *lrwork, int *info) noexcept nogil:
    
    _fortran_cbbcsd(jobu1, jobu2, jobv1t, jobv2t, trans, m, p, q, theta, phi, <npy_complex64*>u1, ldu1, <npy_complex64*>u2, ldu2, <npy_complex64*>v1t, ldv1t, <npy_complex64*>v2t, ldv2t, b11d, b11e, b12d, b12e, b21d, b21e, b22d, b22e, rwork, lrwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cbdsqr "BLAS_FUNC(cbdsqr)"(char *uplo, int *n, int *ncvt, int *nru, int *ncc, s *d, s *e, npy_complex64 *vt, int *ldvt, npy_complex64 *u, int *ldu, npy_complex64 *c, int *ldc, s *rwork, int *info) nogil
cdef void cbdsqr(char *uplo, int *n, int *ncvt, int *nru, int *ncc, s *d, s *e, c *vt, int *ldvt, c *u, int *ldu, c *c, int *ldc, s *rwork, int *info) noexcept nogil:
    
    _fortran_cbdsqr(uplo, n, ncvt, nru, ncc, d, e, <npy_complex64*>vt, ldvt, <npy_complex64*>u, ldu, <npy_complex64*>c, ldc, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cgbbrd "BLAS_FUNC(cgbbrd)"(char *vect, int *m, int *n, int *ncc, int *kl, int *ku, npy_complex64 *ab, int *ldab, s *d, s *e, npy_complex64 *q, int *ldq, npy_complex64 *pt, int *ldpt, npy_complex64 *c, int *ldc, npy_complex64 *work, s *rwork, int *info) nogil
cdef void cgbbrd(char *vect, int *m, int *n, int *ncc, int *kl, int *ku, c *ab, int *ldab, s *d, s *e, c *q, int *ldq, c *pt, int *ldpt, c *c, int *ldc, c *work, s *rwork, int *info) noexcept nogil:
    
    _fortran_cgbbrd(vect, m, n, ncc, kl, ku, <npy_complex64*>ab, ldab, d, e, <npy_complex64*>q, ldq, <npy_complex64*>pt, ldpt, <npy_complex64*>c, ldc, <npy_complex64*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cgbcon "BLAS_FUNC(cgbcon)"(char *norm, int *n, int *kl, int *ku, npy_complex64 *ab, int *ldab, int *ipiv, s *anorm, s *rcond, npy_complex64 *work, s *rwork, int *info) nogil
cdef void cgbcon(char *norm, int *n, int *kl, int *ku, c *ab, int *ldab, int *ipiv, s *anorm, s *rcond, c *work, s *rwork, int *info) noexcept nogil:
    
    _fortran_cgbcon(norm, n, kl, ku, <npy_complex64*>ab, ldab, ipiv, anorm, rcond, <npy_complex64*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cgbequ "BLAS_FUNC(cgbequ)"(int *m, int *n, int *kl, int *ku, npy_complex64 *ab, int *ldab, s *r, s *c, s *rowcnd, s *colcnd, s *amax, int *info) nogil
cdef void cgbequ(int *m, int *n, int *kl, int *ku, c *ab, int *ldab, s *r, s *c, s *rowcnd, s *colcnd, s *amax, int *info) noexcept nogil:
    
    _fortran_cgbequ(m, n, kl, ku, <npy_complex64*>ab, ldab, r, c, rowcnd, colcnd, amax, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cgbequb "BLAS_FUNC(cgbequb)"(int *m, int *n, int *kl, int *ku, npy_complex64 *ab, int *ldab, s *r, s *c, s *rowcnd, s *colcnd, s *amax, int *info) nogil
cdef void cgbequb(int *m, int *n, int *kl, int *ku, c *ab, int *ldab, s *r, s *c, s *rowcnd, s *colcnd, s *amax, int *info) noexcept nogil:
    
    _fortran_cgbequb(m, n, kl, ku, <npy_complex64*>ab, ldab, r, c, rowcnd, colcnd, amax, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cgbrfs "BLAS_FUNC(cgbrfs)"(char *trans, int *n, int *kl, int *ku, int *nrhs, npy_complex64 *ab, int *ldab, npy_complex64 *afb, int *ldafb, int *ipiv, npy_complex64 *b, int *ldb, npy_complex64 *x, int *ldx, s *ferr, s *berr, npy_complex64 *work, s *rwork, int *info) nogil
cdef void cgbrfs(char *trans, int *n, int *kl, int *ku, int *nrhs, c *ab, int *ldab, c *afb, int *ldafb, int *ipiv, c *b, int *ldb, c *x, int *ldx, s *ferr, s *berr, c *work, s *rwork, int *info) noexcept nogil:
    
    _fortran_cgbrfs(trans, n, kl, ku, nrhs, <npy_complex64*>ab, ldab, <npy_complex64*>afb, ldafb, ipiv, <npy_complex64*>b, ldb, <npy_complex64*>x, ldx, ferr, berr, <npy_complex64*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cgbsv "BLAS_FUNC(cgbsv)"(int *n, int *kl, int *ku, int *nrhs, npy_complex64 *ab, int *ldab, int *ipiv, npy_complex64 *b, int *ldb, int *info) nogil
cdef void cgbsv(int *n, int *kl, int *ku, int *nrhs, c *ab, int *ldab, int *ipiv, c *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_cgbsv(n, kl, ku, nrhs, <npy_complex64*>ab, ldab, ipiv, <npy_complex64*>b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cgbsvx "BLAS_FUNC(cgbsvx)"(char *fact, char *trans, int *n, int *kl, int *ku, int *nrhs, npy_complex64 *ab, int *ldab, npy_complex64 *afb, int *ldafb, int *ipiv, char *equed, s *r, s *c, npy_complex64 *b, int *ldb, npy_complex64 *x, int *ldx, s *rcond, s *ferr, s *berr, npy_complex64 *work, s *rwork, int *info) nogil
cdef void cgbsvx(char *fact, char *trans, int *n, int *kl, int *ku, int *nrhs, c *ab, int *ldab, c *afb, int *ldafb, int *ipiv, char *equed, s *r, s *c, c *b, int *ldb, c *x, int *ldx, s *rcond, s *ferr, s *berr, c *work, s *rwork, int *info) noexcept nogil:
    
    _fortran_cgbsvx(fact, trans, n, kl, ku, nrhs, <npy_complex64*>ab, ldab, <npy_complex64*>afb, ldafb, ipiv, equed, r, c, <npy_complex64*>b, ldb, <npy_complex64*>x, ldx, rcond, ferr, berr, <npy_complex64*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cgbtf2 "BLAS_FUNC(cgbtf2)"(int *m, int *n, int *kl, int *ku, npy_complex64 *ab, int *ldab, int *ipiv, int *info) nogil
cdef void cgbtf2(int *m, int *n, int *kl, int *ku, c *ab, int *ldab, int *ipiv, int *info) noexcept nogil:
    
    _fortran_cgbtf2(m, n, kl, ku, <npy_complex64*>ab, ldab, ipiv, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cgbtrf "BLAS_FUNC(cgbtrf)"(int *m, int *n, int *kl, int *ku, npy_complex64 *ab, int *ldab, int *ipiv, int *info) nogil
cdef void cgbtrf(int *m, int *n, int *kl, int *ku, c *ab, int *ldab, int *ipiv, int *info) noexcept nogil:
    
    _fortran_cgbtrf(m, n, kl, ku, <npy_complex64*>ab, ldab, ipiv, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cgbtrs "BLAS_FUNC(cgbtrs)"(char *trans, int *n, int *kl, int *ku, int *nrhs, npy_complex64 *ab, int *ldab, int *ipiv, npy_complex64 *b, int *ldb, int *info) nogil
cdef void cgbtrs(char *trans, int *n, int *kl, int *ku, int *nrhs, c *ab, int *ldab, int *ipiv, c *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_cgbtrs(trans, n, kl, ku, nrhs, <npy_complex64*>ab, ldab, ipiv, <npy_complex64*>b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cgebak "BLAS_FUNC(cgebak)"(char *job, char *side, int *n, int *ilo, int *ihi, s *scale, int *m, npy_complex64 *v, int *ldv, int *info) nogil
cdef void cgebak(char *job, char *side, int *n, int *ilo, int *ihi, s *scale, int *m, c *v, int *ldv, int *info) noexcept nogil:
    
    _fortran_cgebak(job, side, n, ilo, ihi, scale, m, <npy_complex64*>v, ldv, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cgebal "BLAS_FUNC(cgebal)"(char *job, int *n, npy_complex64 *a, int *lda, int *ilo, int *ihi, s *scale, int *info) nogil
cdef void cgebal(char *job, int *n, c *a, int *lda, int *ilo, int *ihi, s *scale, int *info) noexcept nogil:
    
    _fortran_cgebal(job, n, <npy_complex64*>a, lda, ilo, ihi, scale, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cgebd2 "BLAS_FUNC(cgebd2)"(int *m, int *n, npy_complex64 *a, int *lda, s *d, s *e, npy_complex64 *tauq, npy_complex64 *taup, npy_complex64 *work, int *info) nogil
cdef void cgebd2(int *m, int *n, c *a, int *lda, s *d, s *e, c *tauq, c *taup, c *work, int *info) noexcept nogil:
    
    _fortran_cgebd2(m, n, <npy_complex64*>a, lda, d, e, <npy_complex64*>tauq, <npy_complex64*>taup, <npy_complex64*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cgebrd "BLAS_FUNC(cgebrd)"(int *m, int *n, npy_complex64 *a, int *lda, s *d, s *e, npy_complex64 *tauq, npy_complex64 *taup, npy_complex64 *work, int *lwork, int *info) nogil
cdef void cgebrd(int *m, int *n, c *a, int *lda, s *d, s *e, c *tauq, c *taup, c *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_cgebrd(m, n, <npy_complex64*>a, lda, d, e, <npy_complex64*>tauq, <npy_complex64*>taup, <npy_complex64*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cgecon "BLAS_FUNC(cgecon)"(char *norm, int *n, npy_complex64 *a, int *lda, s *anorm, s *rcond, npy_complex64 *work, s *rwork, int *info) nogil
cdef void cgecon(char *norm, int *n, c *a, int *lda, s *anorm, s *rcond, c *work, s *rwork, int *info) noexcept nogil:
    
    _fortran_cgecon(norm, n, <npy_complex64*>a, lda, anorm, rcond, <npy_complex64*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cgeequ "BLAS_FUNC(cgeequ)"(int *m, int *n, npy_complex64 *a, int *lda, s *r, s *c, s *rowcnd, s *colcnd, s *amax, int *info) nogil
cdef void cgeequ(int *m, int *n, c *a, int *lda, s *r, s *c, s *rowcnd, s *colcnd, s *amax, int *info) noexcept nogil:
    
    _fortran_cgeequ(m, n, <npy_complex64*>a, lda, r, c, rowcnd, colcnd, amax, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cgeequb "BLAS_FUNC(cgeequb)"(int *m, int *n, npy_complex64 *a, int *lda, s *r, s *c, s *rowcnd, s *colcnd, s *amax, int *info) nogil
cdef void cgeequb(int *m, int *n, c *a, int *lda, s *r, s *c, s *rowcnd, s *colcnd, s *amax, int *info) noexcept nogil:
    
    _fortran_cgeequb(m, n, <npy_complex64*>a, lda, r, c, rowcnd, colcnd, amax, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cgees "BLAS_FUNC(cgees)"(char *jobvs, char *sort, _cselect1 *select, int *n, npy_complex64 *a, int *lda, int *sdim, npy_complex64 *w, npy_complex64 *vs, int *ldvs, npy_complex64 *work, int *lwork, s *rwork, bint *bwork, int *info) nogil
cdef void cgees(char *jobvs, char *sort, cselect1 *select, int *n, c *a, int *lda, int *sdim, c *w, c *vs, int *ldvs, c *work, int *lwork, s *rwork, bint *bwork, int *info) noexcept nogil:
    
    _fortran_cgees(jobvs, sort, <_cselect1*>select, n, <npy_complex64*>a, lda, sdim, <npy_complex64*>w, <npy_complex64*>vs, ldvs, <npy_complex64*>work, lwork, rwork, bwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cgeesx "BLAS_FUNC(cgeesx)"(char *jobvs, char *sort, _cselect1 *select, char *sense, int *n, npy_complex64 *a, int *lda, int *sdim, npy_complex64 *w, npy_complex64 *vs, int *ldvs, s *rconde, s *rcondv, npy_complex64 *work, int *lwork, s *rwork, bint *bwork, int *info) nogil
cdef void cgeesx(char *jobvs, char *sort, cselect1 *select, char *sense, int *n, c *a, int *lda, int *sdim, c *w, c *vs, int *ldvs, s *rconde, s *rcondv, c *work, int *lwork, s *rwork, bint *bwork, int *info) noexcept nogil:
    
    _fortran_cgeesx(jobvs, sort, <_cselect1*>select, sense, n, <npy_complex64*>a, lda, sdim, <npy_complex64*>w, <npy_complex64*>vs, ldvs, rconde, rcondv, <npy_complex64*>work, lwork, rwork, bwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cgeev "BLAS_FUNC(cgeev)"(char *jobvl, char *jobvr, int *n, npy_complex64 *a, int *lda, npy_complex64 *w, npy_complex64 *vl, int *ldvl, npy_complex64 *vr, int *ldvr, npy_complex64 *work, int *lwork, s *rwork, int *info) nogil
cdef void cgeev(char *jobvl, char *jobvr, int *n, c *a, int *lda, c *w, c *vl, int *ldvl, c *vr, int *ldvr, c *work, int *lwork, s *rwork, int *info) noexcept nogil:
    
    _fortran_cgeev(jobvl, jobvr, n, <npy_complex64*>a, lda, <npy_complex64*>w, <npy_complex64*>vl, ldvl, <npy_complex64*>vr, ldvr, <npy_complex64*>work, lwork, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cgeevx "BLAS_FUNC(cgeevx)"(char *balanc, char *jobvl, char *jobvr, char *sense, int *n, npy_complex64 *a, int *lda, npy_complex64 *w, npy_complex64 *vl, int *ldvl, npy_complex64 *vr, int *ldvr, int *ilo, int *ihi, s *scale, s *abnrm, s *rconde, s *rcondv, npy_complex64 *work, int *lwork, s *rwork, int *info) nogil
cdef void cgeevx(char *balanc, char *jobvl, char *jobvr, char *sense, int *n, c *a, int *lda, c *w, c *vl, int *ldvl, c *vr, int *ldvr, int *ilo, int *ihi, s *scale, s *abnrm, s *rconde, s *rcondv, c *work, int *lwork, s *rwork, int *info) noexcept nogil:
    
    _fortran_cgeevx(balanc, jobvl, jobvr, sense, n, <npy_complex64*>a, lda, <npy_complex64*>w, <npy_complex64*>vl, ldvl, <npy_complex64*>vr, ldvr, ilo, ihi, scale, abnrm, rconde, rcondv, <npy_complex64*>work, lwork, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cgehd2 "BLAS_FUNC(cgehd2)"(int *n, int *ilo, int *ihi, npy_complex64 *a, int *lda, npy_complex64 *tau, npy_complex64 *work, int *info) nogil
cdef void cgehd2(int *n, int *ilo, int *ihi, c *a, int *lda, c *tau, c *work, int *info) noexcept nogil:
    
    _fortran_cgehd2(n, ilo, ihi, <npy_complex64*>a, lda, <npy_complex64*>tau, <npy_complex64*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cgehrd "BLAS_FUNC(cgehrd)"(int *n, int *ilo, int *ihi, npy_complex64 *a, int *lda, npy_complex64 *tau, npy_complex64 *work, int *lwork, int *info) nogil
cdef void cgehrd(int *n, int *ilo, int *ihi, c *a, int *lda, c *tau, c *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_cgehrd(n, ilo, ihi, <npy_complex64*>a, lda, <npy_complex64*>tau, <npy_complex64*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cgelq2 "BLAS_FUNC(cgelq2)"(int *m, int *n, npy_complex64 *a, int *lda, npy_complex64 *tau, npy_complex64 *work, int *info) nogil
cdef void cgelq2(int *m, int *n, c *a, int *lda, c *tau, c *work, int *info) noexcept nogil:
    
    _fortran_cgelq2(m, n, <npy_complex64*>a, lda, <npy_complex64*>tau, <npy_complex64*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cgelqf "BLAS_FUNC(cgelqf)"(int *m, int *n, npy_complex64 *a, int *lda, npy_complex64 *tau, npy_complex64 *work, int *lwork, int *info) nogil
cdef void cgelqf(int *m, int *n, c *a, int *lda, c *tau, c *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_cgelqf(m, n, <npy_complex64*>a, lda, <npy_complex64*>tau, <npy_complex64*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cgels "BLAS_FUNC(cgels)"(char *trans, int *m, int *n, int *nrhs, npy_complex64 *a, int *lda, npy_complex64 *b, int *ldb, npy_complex64 *work, int *lwork, int *info) nogil
cdef void cgels(char *trans, int *m, int *n, int *nrhs, c *a, int *lda, c *b, int *ldb, c *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_cgels(trans, m, n, nrhs, <npy_complex64*>a, lda, <npy_complex64*>b, ldb, <npy_complex64*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cgelsd "BLAS_FUNC(cgelsd)"(int *m, int *n, int *nrhs, npy_complex64 *a, int *lda, npy_complex64 *b, int *ldb, s *s, s *rcond, int *rank, npy_complex64 *work, int *lwork, s *rwork, int *iwork, int *info) nogil
cdef void cgelsd(int *m, int *n, int *nrhs, c *a, int *lda, c *b, int *ldb, s *s, s *rcond, int *rank, c *work, int *lwork, s *rwork, int *iwork, int *info) noexcept nogil:
    
    _fortran_cgelsd(m, n, nrhs, <npy_complex64*>a, lda, <npy_complex64*>b, ldb, s, rcond, rank, <npy_complex64*>work, lwork, rwork, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cgelss "BLAS_FUNC(cgelss)"(int *m, int *n, int *nrhs, npy_complex64 *a, int *lda, npy_complex64 *b, int *ldb, s *s, s *rcond, int *rank, npy_complex64 *work, int *lwork, s *rwork, int *info) nogil
cdef void cgelss(int *m, int *n, int *nrhs, c *a, int *lda, c *b, int *ldb, s *s, s *rcond, int *rank, c *work, int *lwork, s *rwork, int *info) noexcept nogil:
    
    _fortran_cgelss(m, n, nrhs, <npy_complex64*>a, lda, <npy_complex64*>b, ldb, s, rcond, rank, <npy_complex64*>work, lwork, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cgelsy "BLAS_FUNC(cgelsy)"(int *m, int *n, int *nrhs, npy_complex64 *a, int *lda, npy_complex64 *b, int *ldb, int *jpvt, s *rcond, int *rank, npy_complex64 *work, int *lwork, s *rwork, int *info) nogil
cdef void cgelsy(int *m, int *n, int *nrhs, c *a, int *lda, c *b, int *ldb, int *jpvt, s *rcond, int *rank, c *work, int *lwork, s *rwork, int *info) noexcept nogil:
    
    _fortran_cgelsy(m, n, nrhs, <npy_complex64*>a, lda, <npy_complex64*>b, ldb, jpvt, rcond, rank, <npy_complex64*>work, lwork, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cgemqrt "BLAS_FUNC(cgemqrt)"(char *side, char *trans, int *m, int *n, int *k, int *nb, npy_complex64 *v, int *ldv, npy_complex64 *t, int *ldt, npy_complex64 *c, int *ldc, npy_complex64 *work, int *info) nogil
cdef void cgemqrt(char *side, char *trans, int *m, int *n, int *k, int *nb, c *v, int *ldv, c *t, int *ldt, c *c, int *ldc, c *work, int *info) noexcept nogil:
    
    _fortran_cgemqrt(side, trans, m, n, k, nb, <npy_complex64*>v, ldv, <npy_complex64*>t, ldt, <npy_complex64*>c, ldc, <npy_complex64*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cgeql2 "BLAS_FUNC(cgeql2)"(int *m, int *n, npy_complex64 *a, int *lda, npy_complex64 *tau, npy_complex64 *work, int *info) nogil
cdef void cgeql2(int *m, int *n, c *a, int *lda, c *tau, c *work, int *info) noexcept nogil:
    
    _fortran_cgeql2(m, n, <npy_complex64*>a, lda, <npy_complex64*>tau, <npy_complex64*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cgeqlf "BLAS_FUNC(cgeqlf)"(int *m, int *n, npy_complex64 *a, int *lda, npy_complex64 *tau, npy_complex64 *work, int *lwork, int *info) nogil
cdef void cgeqlf(int *m, int *n, c *a, int *lda, c *tau, c *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_cgeqlf(m, n, <npy_complex64*>a, lda, <npy_complex64*>tau, <npy_complex64*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cgeqp3 "BLAS_FUNC(cgeqp3)"(int *m, int *n, npy_complex64 *a, int *lda, int *jpvt, npy_complex64 *tau, npy_complex64 *work, int *lwork, s *rwork, int *info) nogil
cdef void cgeqp3(int *m, int *n, c *a, int *lda, int *jpvt, c *tau, c *work, int *lwork, s *rwork, int *info) noexcept nogil:
    
    _fortran_cgeqp3(m, n, <npy_complex64*>a, lda, jpvt, <npy_complex64*>tau, <npy_complex64*>work, lwork, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cgeqr2 "BLAS_FUNC(cgeqr2)"(int *m, int *n, npy_complex64 *a, int *lda, npy_complex64 *tau, npy_complex64 *work, int *info) nogil
cdef void cgeqr2(int *m, int *n, c *a, int *lda, c *tau, c *work, int *info) noexcept nogil:
    
    _fortran_cgeqr2(m, n, <npy_complex64*>a, lda, <npy_complex64*>tau, <npy_complex64*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cgeqr2p "BLAS_FUNC(cgeqr2p)"(int *m, int *n, npy_complex64 *a, int *lda, npy_complex64 *tau, npy_complex64 *work, int *info) nogil
cdef void cgeqr2p(int *m, int *n, c *a, int *lda, c *tau, c *work, int *info) noexcept nogil:
    
    _fortran_cgeqr2p(m, n, <npy_complex64*>a, lda, <npy_complex64*>tau, <npy_complex64*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cgeqrf "BLAS_FUNC(cgeqrf)"(int *m, int *n, npy_complex64 *a, int *lda, npy_complex64 *tau, npy_complex64 *work, int *lwork, int *info) nogil
cdef void cgeqrf(int *m, int *n, c *a, int *lda, c *tau, c *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_cgeqrf(m, n, <npy_complex64*>a, lda, <npy_complex64*>tau, <npy_complex64*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cgeqrfp "BLAS_FUNC(cgeqrfp)"(int *m, int *n, npy_complex64 *a, int *lda, npy_complex64 *tau, npy_complex64 *work, int *lwork, int *info) nogil
cdef void cgeqrfp(int *m, int *n, c *a, int *lda, c *tau, c *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_cgeqrfp(m, n, <npy_complex64*>a, lda, <npy_complex64*>tau, <npy_complex64*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cgeqrt "BLAS_FUNC(cgeqrt)"(int *m, int *n, int *nb, npy_complex64 *a, int *lda, npy_complex64 *t, int *ldt, npy_complex64 *work, int *info) nogil
cdef void cgeqrt(int *m, int *n, int *nb, c *a, int *lda, c *t, int *ldt, c *work, int *info) noexcept nogil:
    
    _fortran_cgeqrt(m, n, nb, <npy_complex64*>a, lda, <npy_complex64*>t, ldt, <npy_complex64*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cgeqrt2 "BLAS_FUNC(cgeqrt2)"(int *m, int *n, npy_complex64 *a, int *lda, npy_complex64 *t, int *ldt, int *info) nogil
cdef void cgeqrt2(int *m, int *n, c *a, int *lda, c *t, int *ldt, int *info) noexcept nogil:
    
    _fortran_cgeqrt2(m, n, <npy_complex64*>a, lda, <npy_complex64*>t, ldt, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cgeqrt3 "BLAS_FUNC(cgeqrt3)"(int *m, int *n, npy_complex64 *a, int *lda, npy_complex64 *t, int *ldt, int *info) nogil
cdef void cgeqrt3(int *m, int *n, c *a, int *lda, c *t, int *ldt, int *info) noexcept nogil:
    
    _fortran_cgeqrt3(m, n, <npy_complex64*>a, lda, <npy_complex64*>t, ldt, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cgerfs "BLAS_FUNC(cgerfs)"(char *trans, int *n, int *nrhs, npy_complex64 *a, int *lda, npy_complex64 *af, int *ldaf, int *ipiv, npy_complex64 *b, int *ldb, npy_complex64 *x, int *ldx, s *ferr, s *berr, npy_complex64 *work, s *rwork, int *info) nogil
cdef void cgerfs(char *trans, int *n, int *nrhs, c *a, int *lda, c *af, int *ldaf, int *ipiv, c *b, int *ldb, c *x, int *ldx, s *ferr, s *berr, c *work, s *rwork, int *info) noexcept nogil:
    
    _fortran_cgerfs(trans, n, nrhs, <npy_complex64*>a, lda, <npy_complex64*>af, ldaf, ipiv, <npy_complex64*>b, ldb, <npy_complex64*>x, ldx, ferr, berr, <npy_complex64*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cgerq2 "BLAS_FUNC(cgerq2)"(int *m, int *n, npy_complex64 *a, int *lda, npy_complex64 *tau, npy_complex64 *work, int *info) nogil
cdef void cgerq2(int *m, int *n, c *a, int *lda, c *tau, c *work, int *info) noexcept nogil:
    
    _fortran_cgerq2(m, n, <npy_complex64*>a, lda, <npy_complex64*>tau, <npy_complex64*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cgerqf "BLAS_FUNC(cgerqf)"(int *m, int *n, npy_complex64 *a, int *lda, npy_complex64 *tau, npy_complex64 *work, int *lwork, int *info) nogil
cdef void cgerqf(int *m, int *n, c *a, int *lda, c *tau, c *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_cgerqf(m, n, <npy_complex64*>a, lda, <npy_complex64*>tau, <npy_complex64*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cgesc2 "BLAS_FUNC(cgesc2)"(int *n, npy_complex64 *a, int *lda, npy_complex64 *rhs, int *ipiv, int *jpiv, s *scale) nogil
cdef void cgesc2(int *n, c *a, int *lda, c *rhs, int *ipiv, int *jpiv, s *scale) noexcept nogil:
    
    _fortran_cgesc2(n, <npy_complex64*>a, lda, <npy_complex64*>rhs, ipiv, jpiv, scale)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cgesdd "BLAS_FUNC(cgesdd)"(char *jobz, int *m, int *n, npy_complex64 *a, int *lda, s *s, npy_complex64 *u, int *ldu, npy_complex64 *vt, int *ldvt, npy_complex64 *work, int *lwork, s *rwork, int *iwork, int *info) nogil
cdef void cgesdd(char *jobz, int *m, int *n, c *a, int *lda, s *s, c *u, int *ldu, c *vt, int *ldvt, c *work, int *lwork, s *rwork, int *iwork, int *info) noexcept nogil:
    
    _fortran_cgesdd(jobz, m, n, <npy_complex64*>a, lda, s, <npy_complex64*>u, ldu, <npy_complex64*>vt, ldvt, <npy_complex64*>work, lwork, rwork, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cgesv "BLAS_FUNC(cgesv)"(int *n, int *nrhs, npy_complex64 *a, int *lda, int *ipiv, npy_complex64 *b, int *ldb, int *info) nogil
cdef void cgesv(int *n, int *nrhs, c *a, int *lda, int *ipiv, c *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_cgesv(n, nrhs, <npy_complex64*>a, lda, ipiv, <npy_complex64*>b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cgesvd "BLAS_FUNC(cgesvd)"(char *jobu, char *jobvt, int *m, int *n, npy_complex64 *a, int *lda, s *s, npy_complex64 *u, int *ldu, npy_complex64 *vt, int *ldvt, npy_complex64 *work, int *lwork, s *rwork, int *info) nogil
cdef void cgesvd(char *jobu, char *jobvt, int *m, int *n, c *a, int *lda, s *s, c *u, int *ldu, c *vt, int *ldvt, c *work, int *lwork, s *rwork, int *info) noexcept nogil:
    
    _fortran_cgesvd(jobu, jobvt, m, n, <npy_complex64*>a, lda, s, <npy_complex64*>u, ldu, <npy_complex64*>vt, ldvt, <npy_complex64*>work, lwork, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cgesvx "BLAS_FUNC(cgesvx)"(char *fact, char *trans, int *n, int *nrhs, npy_complex64 *a, int *lda, npy_complex64 *af, int *ldaf, int *ipiv, char *equed, s *r, s *c, npy_complex64 *b, int *ldb, npy_complex64 *x, int *ldx, s *rcond, s *ferr, s *berr, npy_complex64 *work, s *rwork, int *info) nogil
cdef void cgesvx(char *fact, char *trans, int *n, int *nrhs, c *a, int *lda, c *af, int *ldaf, int *ipiv, char *equed, s *r, s *c, c *b, int *ldb, c *x, int *ldx, s *rcond, s *ferr, s *berr, c *work, s *rwork, int *info) noexcept nogil:
    
    _fortran_cgesvx(fact, trans, n, nrhs, <npy_complex64*>a, lda, <npy_complex64*>af, ldaf, ipiv, equed, r, c, <npy_complex64*>b, ldb, <npy_complex64*>x, ldx, rcond, ferr, berr, <npy_complex64*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cgetc2 "BLAS_FUNC(cgetc2)"(int *n, npy_complex64 *a, int *lda, int *ipiv, int *jpiv, int *info) nogil
cdef void cgetc2(int *n, c *a, int *lda, int *ipiv, int *jpiv, int *info) noexcept nogil:
    
    _fortran_cgetc2(n, <npy_complex64*>a, lda, ipiv, jpiv, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cgetf2 "BLAS_FUNC(cgetf2)"(int *m, int *n, npy_complex64 *a, int *lda, int *ipiv, int *info) nogil
cdef void cgetf2(int *m, int *n, c *a, int *lda, int *ipiv, int *info) noexcept nogil:
    
    _fortran_cgetf2(m, n, <npy_complex64*>a, lda, ipiv, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cgetrf "BLAS_FUNC(cgetrf)"(int *m, int *n, npy_complex64 *a, int *lda, int *ipiv, int *info) nogil
cdef void cgetrf(int *m, int *n, c *a, int *lda, int *ipiv, int *info) noexcept nogil:
    
    _fortran_cgetrf(m, n, <npy_complex64*>a, lda, ipiv, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cgetri "BLAS_FUNC(cgetri)"(int *n, npy_complex64 *a, int *lda, int *ipiv, npy_complex64 *work, int *lwork, int *info) nogil
cdef void cgetri(int *n, c *a, int *lda, int *ipiv, c *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_cgetri(n, <npy_complex64*>a, lda, ipiv, <npy_complex64*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cgetrs "BLAS_FUNC(cgetrs)"(char *trans, int *n, int *nrhs, npy_complex64 *a, int *lda, int *ipiv, npy_complex64 *b, int *ldb, int *info) nogil
cdef void cgetrs(char *trans, int *n, int *nrhs, c *a, int *lda, int *ipiv, c *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_cgetrs(trans, n, nrhs, <npy_complex64*>a, lda, ipiv, <npy_complex64*>b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cggbak "BLAS_FUNC(cggbak)"(char *job, char *side, int *n, int *ilo, int *ihi, s *lscale, s *rscale, int *m, npy_complex64 *v, int *ldv, int *info) nogil
cdef void cggbak(char *job, char *side, int *n, int *ilo, int *ihi, s *lscale, s *rscale, int *m, c *v, int *ldv, int *info) noexcept nogil:
    
    _fortran_cggbak(job, side, n, ilo, ihi, lscale, rscale, m, <npy_complex64*>v, ldv, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cggbal "BLAS_FUNC(cggbal)"(char *job, int *n, npy_complex64 *a, int *lda, npy_complex64 *b, int *ldb, int *ilo, int *ihi, s *lscale, s *rscale, s *work, int *info) nogil
cdef void cggbal(char *job, int *n, c *a, int *lda, c *b, int *ldb, int *ilo, int *ihi, s *lscale, s *rscale, s *work, int *info) noexcept nogil:
    
    _fortran_cggbal(job, n, <npy_complex64*>a, lda, <npy_complex64*>b, ldb, ilo, ihi, lscale, rscale, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cgges "BLAS_FUNC(cgges)"(char *jobvsl, char *jobvsr, char *sort, _cselect2 *selctg, int *n, npy_complex64 *a, int *lda, npy_complex64 *b, int *ldb, int *sdim, npy_complex64 *alpha, npy_complex64 *beta, npy_complex64 *vsl, int *ldvsl, npy_complex64 *vsr, int *ldvsr, npy_complex64 *work, int *lwork, s *rwork, bint *bwork, int *info) nogil
cdef void cgges(char *jobvsl, char *jobvsr, char *sort, cselect2 *selctg, int *n, c *a, int *lda, c *b, int *ldb, int *sdim, c *alpha, c *beta, c *vsl, int *ldvsl, c *vsr, int *ldvsr, c *work, int *lwork, s *rwork, bint *bwork, int *info) noexcept nogil:
    
    _fortran_cgges(jobvsl, jobvsr, sort, <_cselect2*>selctg, n, <npy_complex64*>a, lda, <npy_complex64*>b, ldb, sdim, <npy_complex64*>alpha, <npy_complex64*>beta, <npy_complex64*>vsl, ldvsl, <npy_complex64*>vsr, ldvsr, <npy_complex64*>work, lwork, rwork, bwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cggesx "BLAS_FUNC(cggesx)"(char *jobvsl, char *jobvsr, char *sort, _cselect2 *selctg, char *sense, int *n, npy_complex64 *a, int *lda, npy_complex64 *b, int *ldb, int *sdim, npy_complex64 *alpha, npy_complex64 *beta, npy_complex64 *vsl, int *ldvsl, npy_complex64 *vsr, int *ldvsr, s *rconde, s *rcondv, npy_complex64 *work, int *lwork, s *rwork, int *iwork, int *liwork, bint *bwork, int *info) nogil
cdef void cggesx(char *jobvsl, char *jobvsr, char *sort, cselect2 *selctg, char *sense, int *n, c *a, int *lda, c *b, int *ldb, int *sdim, c *alpha, c *beta, c *vsl, int *ldvsl, c *vsr, int *ldvsr, s *rconde, s *rcondv, c *work, int *lwork, s *rwork, int *iwork, int *liwork, bint *bwork, int *info) noexcept nogil:
    
    _fortran_cggesx(jobvsl, jobvsr, sort, <_cselect2*>selctg, sense, n, <npy_complex64*>a, lda, <npy_complex64*>b, ldb, sdim, <npy_complex64*>alpha, <npy_complex64*>beta, <npy_complex64*>vsl, ldvsl, <npy_complex64*>vsr, ldvsr, rconde, rcondv, <npy_complex64*>work, lwork, rwork, iwork, liwork, bwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cggev "BLAS_FUNC(cggev)"(char *jobvl, char *jobvr, int *n, npy_complex64 *a, int *lda, npy_complex64 *b, int *ldb, npy_complex64 *alpha, npy_complex64 *beta, npy_complex64 *vl, int *ldvl, npy_complex64 *vr, int *ldvr, npy_complex64 *work, int *lwork, s *rwork, int *info) nogil
cdef void cggev(char *jobvl, char *jobvr, int *n, c *a, int *lda, c *b, int *ldb, c *alpha, c *beta, c *vl, int *ldvl, c *vr, int *ldvr, c *work, int *lwork, s *rwork, int *info) noexcept nogil:
    
    _fortran_cggev(jobvl, jobvr, n, <npy_complex64*>a, lda, <npy_complex64*>b, ldb, <npy_complex64*>alpha, <npy_complex64*>beta, <npy_complex64*>vl, ldvl, <npy_complex64*>vr, ldvr, <npy_complex64*>work, lwork, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cggevx "BLAS_FUNC(cggevx)"(char *balanc, char *jobvl, char *jobvr, char *sense, int *n, npy_complex64 *a, int *lda, npy_complex64 *b, int *ldb, npy_complex64 *alpha, npy_complex64 *beta, npy_complex64 *vl, int *ldvl, npy_complex64 *vr, int *ldvr, int *ilo, int *ihi, s *lscale, s *rscale, s *abnrm, s *bbnrm, s *rconde, s *rcondv, npy_complex64 *work, int *lwork, s *rwork, int *iwork, bint *bwork, int *info) nogil
cdef void cggevx(char *balanc, char *jobvl, char *jobvr, char *sense, int *n, c *a, int *lda, c *b, int *ldb, c *alpha, c *beta, c *vl, int *ldvl, c *vr, int *ldvr, int *ilo, int *ihi, s *lscale, s *rscale, s *abnrm, s *bbnrm, s *rconde, s *rcondv, c *work, int *lwork, s *rwork, int *iwork, bint *bwork, int *info) noexcept nogil:
    
    _fortran_cggevx(balanc, jobvl, jobvr, sense, n, <npy_complex64*>a, lda, <npy_complex64*>b, ldb, <npy_complex64*>alpha, <npy_complex64*>beta, <npy_complex64*>vl, ldvl, <npy_complex64*>vr, ldvr, ilo, ihi, lscale, rscale, abnrm, bbnrm, rconde, rcondv, <npy_complex64*>work, lwork, rwork, iwork, bwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cggglm "BLAS_FUNC(cggglm)"(int *n, int *m, int *p, npy_complex64 *a, int *lda, npy_complex64 *b, int *ldb, npy_complex64 *d, npy_complex64 *x, npy_complex64 *y, npy_complex64 *work, int *lwork, int *info) nogil
cdef void cggglm(int *n, int *m, int *p, c *a, int *lda, c *b, int *ldb, c *d, c *x, c *y, c *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_cggglm(n, m, p, <npy_complex64*>a, lda, <npy_complex64*>b, ldb, <npy_complex64*>d, <npy_complex64*>x, <npy_complex64*>y, <npy_complex64*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cgghrd "BLAS_FUNC(cgghrd)"(char *compq, char *compz, int *n, int *ilo, int *ihi, npy_complex64 *a, int *lda, npy_complex64 *b, int *ldb, npy_complex64 *q, int *ldq, npy_complex64 *z, int *ldz, int *info) nogil
cdef void cgghrd(char *compq, char *compz, int *n, int *ilo, int *ihi, c *a, int *lda, c *b, int *ldb, c *q, int *ldq, c *z, int *ldz, int *info) noexcept nogil:
    
    _fortran_cgghrd(compq, compz, n, ilo, ihi, <npy_complex64*>a, lda, <npy_complex64*>b, ldb, <npy_complex64*>q, ldq, <npy_complex64*>z, ldz, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cgglse "BLAS_FUNC(cgglse)"(int *m, int *n, int *p, npy_complex64 *a, int *lda, npy_complex64 *b, int *ldb, npy_complex64 *c, npy_complex64 *d, npy_complex64 *x, npy_complex64 *work, int *lwork, int *info) nogil
cdef void cgglse(int *m, int *n, int *p, c *a, int *lda, c *b, int *ldb, c *c, c *d, c *x, c *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_cgglse(m, n, p, <npy_complex64*>a, lda, <npy_complex64*>b, ldb, <npy_complex64*>c, <npy_complex64*>d, <npy_complex64*>x, <npy_complex64*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cggqrf "BLAS_FUNC(cggqrf)"(int *n, int *m, int *p, npy_complex64 *a, int *lda, npy_complex64 *taua, npy_complex64 *b, int *ldb, npy_complex64 *taub, npy_complex64 *work, int *lwork, int *info) nogil
cdef void cggqrf(int *n, int *m, int *p, c *a, int *lda, c *taua, c *b, int *ldb, c *taub, c *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_cggqrf(n, m, p, <npy_complex64*>a, lda, <npy_complex64*>taua, <npy_complex64*>b, ldb, <npy_complex64*>taub, <npy_complex64*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cggrqf "BLAS_FUNC(cggrqf)"(int *m, int *p, int *n, npy_complex64 *a, int *lda, npy_complex64 *taua, npy_complex64 *b, int *ldb, npy_complex64 *taub, npy_complex64 *work, int *lwork, int *info) nogil
cdef void cggrqf(int *m, int *p, int *n, c *a, int *lda, c *taua, c *b, int *ldb, c *taub, c *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_cggrqf(m, p, n, <npy_complex64*>a, lda, <npy_complex64*>taua, <npy_complex64*>b, ldb, <npy_complex64*>taub, <npy_complex64*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cgtcon "BLAS_FUNC(cgtcon)"(char *norm, int *n, npy_complex64 *dl, npy_complex64 *d, npy_complex64 *du, npy_complex64 *du2, int *ipiv, s *anorm, s *rcond, npy_complex64 *work, int *info) nogil
cdef void cgtcon(char *norm, int *n, c *dl, c *d, c *du, c *du2, int *ipiv, s *anorm, s *rcond, c *work, int *info) noexcept nogil:
    
    _fortran_cgtcon(norm, n, <npy_complex64*>dl, <npy_complex64*>d, <npy_complex64*>du, <npy_complex64*>du2, ipiv, anorm, rcond, <npy_complex64*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cgtrfs "BLAS_FUNC(cgtrfs)"(char *trans, int *n, int *nrhs, npy_complex64 *dl, npy_complex64 *d, npy_complex64 *du, npy_complex64 *dlf, npy_complex64 *df, npy_complex64 *duf, npy_complex64 *du2, int *ipiv, npy_complex64 *b, int *ldb, npy_complex64 *x, int *ldx, s *ferr, s *berr, npy_complex64 *work, s *rwork, int *info) nogil
cdef void cgtrfs(char *trans, int *n, int *nrhs, c *dl, c *d, c *du, c *dlf, c *df, c *duf, c *du2, int *ipiv, c *b, int *ldb, c *x, int *ldx, s *ferr, s *berr, c *work, s *rwork, int *info) noexcept nogil:
    
    _fortran_cgtrfs(trans, n, nrhs, <npy_complex64*>dl, <npy_complex64*>d, <npy_complex64*>du, <npy_complex64*>dlf, <npy_complex64*>df, <npy_complex64*>duf, <npy_complex64*>du2, ipiv, <npy_complex64*>b, ldb, <npy_complex64*>x, ldx, ferr, berr, <npy_complex64*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cgtsv "BLAS_FUNC(cgtsv)"(int *n, int *nrhs, npy_complex64 *dl, npy_complex64 *d, npy_complex64 *du, npy_complex64 *b, int *ldb, int *info) nogil
cdef void cgtsv(int *n, int *nrhs, c *dl, c *d, c *du, c *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_cgtsv(n, nrhs, <npy_complex64*>dl, <npy_complex64*>d, <npy_complex64*>du, <npy_complex64*>b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cgtsvx "BLAS_FUNC(cgtsvx)"(char *fact, char *trans, int *n, int *nrhs, npy_complex64 *dl, npy_complex64 *d, npy_complex64 *du, npy_complex64 *dlf, npy_complex64 *df, npy_complex64 *duf, npy_complex64 *du2, int *ipiv, npy_complex64 *b, int *ldb, npy_complex64 *x, int *ldx, s *rcond, s *ferr, s *berr, npy_complex64 *work, s *rwork, int *info) nogil
cdef void cgtsvx(char *fact, char *trans, int *n, int *nrhs, c *dl, c *d, c *du, c *dlf, c *df, c *duf, c *du2, int *ipiv, c *b, int *ldb, c *x, int *ldx, s *rcond, s *ferr, s *berr, c *work, s *rwork, int *info) noexcept nogil:
    
    _fortran_cgtsvx(fact, trans, n, nrhs, <npy_complex64*>dl, <npy_complex64*>d, <npy_complex64*>du, <npy_complex64*>dlf, <npy_complex64*>df, <npy_complex64*>duf, <npy_complex64*>du2, ipiv, <npy_complex64*>b, ldb, <npy_complex64*>x, ldx, rcond, ferr, berr, <npy_complex64*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cgttrf "BLAS_FUNC(cgttrf)"(int *n, npy_complex64 *dl, npy_complex64 *d, npy_complex64 *du, npy_complex64 *du2, int *ipiv, int *info) nogil
cdef void cgttrf(int *n, c *dl, c *d, c *du, c *du2, int *ipiv, int *info) noexcept nogil:
    
    _fortran_cgttrf(n, <npy_complex64*>dl, <npy_complex64*>d, <npy_complex64*>du, <npy_complex64*>du2, ipiv, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cgttrs "BLAS_FUNC(cgttrs)"(char *trans, int *n, int *nrhs, npy_complex64 *dl, npy_complex64 *d, npy_complex64 *du, npy_complex64 *du2, int *ipiv, npy_complex64 *b, int *ldb, int *info) nogil
cdef void cgttrs(char *trans, int *n, int *nrhs, c *dl, c *d, c *du, c *du2, int *ipiv, c *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_cgttrs(trans, n, nrhs, <npy_complex64*>dl, <npy_complex64*>d, <npy_complex64*>du, <npy_complex64*>du2, ipiv, <npy_complex64*>b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cgtts2 "BLAS_FUNC(cgtts2)"(int *itrans, int *n, int *nrhs, npy_complex64 *dl, npy_complex64 *d, npy_complex64 *du, npy_complex64 *du2, int *ipiv, npy_complex64 *b, int *ldb) nogil
cdef void cgtts2(int *itrans, int *n, int *nrhs, c *dl, c *d, c *du, c *du2, int *ipiv, c *b, int *ldb) noexcept nogil:
    
    _fortran_cgtts2(itrans, n, nrhs, <npy_complex64*>dl, <npy_complex64*>d, <npy_complex64*>du, <npy_complex64*>du2, ipiv, <npy_complex64*>b, ldb)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_chbev "BLAS_FUNC(chbev)"(char *jobz, char *uplo, int *n, int *kd, npy_complex64 *ab, int *ldab, s *w, npy_complex64 *z, int *ldz, npy_complex64 *work, s *rwork, int *info) nogil
cdef void chbev(char *jobz, char *uplo, int *n, int *kd, c *ab, int *ldab, s *w, c *z, int *ldz, c *work, s *rwork, int *info) noexcept nogil:
    
    _fortran_chbev(jobz, uplo, n, kd, <npy_complex64*>ab, ldab, w, <npy_complex64*>z, ldz, <npy_complex64*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_chbevd "BLAS_FUNC(chbevd)"(char *jobz, char *uplo, int *n, int *kd, npy_complex64 *ab, int *ldab, s *w, npy_complex64 *z, int *ldz, npy_complex64 *work, int *lwork, s *rwork, int *lrwork, int *iwork, int *liwork, int *info) nogil
cdef void chbevd(char *jobz, char *uplo, int *n, int *kd, c *ab, int *ldab, s *w, c *z, int *ldz, c *work, int *lwork, s *rwork, int *lrwork, int *iwork, int *liwork, int *info) noexcept nogil:
    
    _fortran_chbevd(jobz, uplo, n, kd, <npy_complex64*>ab, ldab, w, <npy_complex64*>z, ldz, <npy_complex64*>work, lwork, rwork, lrwork, iwork, liwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_chbevx "BLAS_FUNC(chbevx)"(char *jobz, char *range, char *uplo, int *n, int *kd, npy_complex64 *ab, int *ldab, npy_complex64 *q, int *ldq, s *vl, s *vu, int *il, int *iu, s *abstol, int *m, s *w, npy_complex64 *z, int *ldz, npy_complex64 *work, s *rwork, int *iwork, int *ifail, int *info) nogil
cdef void chbevx(char *jobz, char *range, char *uplo, int *n, int *kd, c *ab, int *ldab, c *q, int *ldq, s *vl, s *vu, int *il, int *iu, s *abstol, int *m, s *w, c *z, int *ldz, c *work, s *rwork, int *iwork, int *ifail, int *info) noexcept nogil:
    
    _fortran_chbevx(jobz, range, uplo, n, kd, <npy_complex64*>ab, ldab, <npy_complex64*>q, ldq, vl, vu, il, iu, abstol, m, w, <npy_complex64*>z, ldz, <npy_complex64*>work, rwork, iwork, ifail, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_chbgst "BLAS_FUNC(chbgst)"(char *vect, char *uplo, int *n, int *ka, int *kb, npy_complex64 *ab, int *ldab, npy_complex64 *bb, int *ldbb, npy_complex64 *x, int *ldx, npy_complex64 *work, s *rwork, int *info) nogil
cdef void chbgst(char *vect, char *uplo, int *n, int *ka, int *kb, c *ab, int *ldab, c *bb, int *ldbb, c *x, int *ldx, c *work, s *rwork, int *info) noexcept nogil:
    
    _fortran_chbgst(vect, uplo, n, ka, kb, <npy_complex64*>ab, ldab, <npy_complex64*>bb, ldbb, <npy_complex64*>x, ldx, <npy_complex64*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_chbgv "BLAS_FUNC(chbgv)"(char *jobz, char *uplo, int *n, int *ka, int *kb, npy_complex64 *ab, int *ldab, npy_complex64 *bb, int *ldbb, s *w, npy_complex64 *z, int *ldz, npy_complex64 *work, s *rwork, int *info) nogil
cdef void chbgv(char *jobz, char *uplo, int *n, int *ka, int *kb, c *ab, int *ldab, c *bb, int *ldbb, s *w, c *z, int *ldz, c *work, s *rwork, int *info) noexcept nogil:
    
    _fortran_chbgv(jobz, uplo, n, ka, kb, <npy_complex64*>ab, ldab, <npy_complex64*>bb, ldbb, w, <npy_complex64*>z, ldz, <npy_complex64*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_chbgvd "BLAS_FUNC(chbgvd)"(char *jobz, char *uplo, int *n, int *ka, int *kb, npy_complex64 *ab, int *ldab, npy_complex64 *bb, int *ldbb, s *w, npy_complex64 *z, int *ldz, npy_complex64 *work, int *lwork, s *rwork, int *lrwork, int *iwork, int *liwork, int *info) nogil
cdef void chbgvd(char *jobz, char *uplo, int *n, int *ka, int *kb, c *ab, int *ldab, c *bb, int *ldbb, s *w, c *z, int *ldz, c *work, int *lwork, s *rwork, int *lrwork, int *iwork, int *liwork, int *info) noexcept nogil:
    
    _fortran_chbgvd(jobz, uplo, n, ka, kb, <npy_complex64*>ab, ldab, <npy_complex64*>bb, ldbb, w, <npy_complex64*>z, ldz, <npy_complex64*>work, lwork, rwork, lrwork, iwork, liwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_chbgvx "BLAS_FUNC(chbgvx)"(char *jobz, char *range, char *uplo, int *n, int *ka, int *kb, npy_complex64 *ab, int *ldab, npy_complex64 *bb, int *ldbb, npy_complex64 *q, int *ldq, s *vl, s *vu, int *il, int *iu, s *abstol, int *m, s *w, npy_complex64 *z, int *ldz, npy_complex64 *work, s *rwork, int *iwork, int *ifail, int *info) nogil
cdef void chbgvx(char *jobz, char *range, char *uplo, int *n, int *ka, int *kb, c *ab, int *ldab, c *bb, int *ldbb, c *q, int *ldq, s *vl, s *vu, int *il, int *iu, s *abstol, int *m, s *w, c *z, int *ldz, c *work, s *rwork, int *iwork, int *ifail, int *info) noexcept nogil:
    
    _fortran_chbgvx(jobz, range, uplo, n, ka, kb, <npy_complex64*>ab, ldab, <npy_complex64*>bb, ldbb, <npy_complex64*>q, ldq, vl, vu, il, iu, abstol, m, w, <npy_complex64*>z, ldz, <npy_complex64*>work, rwork, iwork, ifail, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_chbtrd "BLAS_FUNC(chbtrd)"(char *vect, char *uplo, int *n, int *kd, npy_complex64 *ab, int *ldab, s *d, s *e, npy_complex64 *q, int *ldq, npy_complex64 *work, int *info) nogil
cdef void chbtrd(char *vect, char *uplo, int *n, int *kd, c *ab, int *ldab, s *d, s *e, c *q, int *ldq, c *work, int *info) noexcept nogil:
    
    _fortran_chbtrd(vect, uplo, n, kd, <npy_complex64*>ab, ldab, d, e, <npy_complex64*>q, ldq, <npy_complex64*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_checon "BLAS_FUNC(checon)"(char *uplo, int *n, npy_complex64 *a, int *lda, int *ipiv, s *anorm, s *rcond, npy_complex64 *work, int *info) nogil
cdef void checon(char *uplo, int *n, c *a, int *lda, int *ipiv, s *anorm, s *rcond, c *work, int *info) noexcept nogil:
    
    _fortran_checon(uplo, n, <npy_complex64*>a, lda, ipiv, anorm, rcond, <npy_complex64*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cheequb "BLAS_FUNC(cheequb)"(char *uplo, int *n, npy_complex64 *a, int *lda, s *s, s *scond, s *amax, npy_complex64 *work, int *info) nogil
cdef void cheequb(char *uplo, int *n, c *a, int *lda, s *s, s *scond, s *amax, c *work, int *info) noexcept nogil:
    
    _fortran_cheequb(uplo, n, <npy_complex64*>a, lda, s, scond, amax, <npy_complex64*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cheev "BLAS_FUNC(cheev)"(char *jobz, char *uplo, int *n, npy_complex64 *a, int *lda, s *w, npy_complex64 *work, int *lwork, s *rwork, int *info) nogil
cdef void cheev(char *jobz, char *uplo, int *n, c *a, int *lda, s *w, c *work, int *lwork, s *rwork, int *info) noexcept nogil:
    
    _fortran_cheev(jobz, uplo, n, <npy_complex64*>a, lda, w, <npy_complex64*>work, lwork, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cheevd "BLAS_FUNC(cheevd)"(char *jobz, char *uplo, int *n, npy_complex64 *a, int *lda, s *w, npy_complex64 *work, int *lwork, s *rwork, int *lrwork, int *iwork, int *liwork, int *info) nogil
cdef void cheevd(char *jobz, char *uplo, int *n, c *a, int *lda, s *w, c *work, int *lwork, s *rwork, int *lrwork, int *iwork, int *liwork, int *info) noexcept nogil:
    
    _fortran_cheevd(jobz, uplo, n, <npy_complex64*>a, lda, w, <npy_complex64*>work, lwork, rwork, lrwork, iwork, liwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cheevr "BLAS_FUNC(cheevr)"(char *jobz, char *range, char *uplo, int *n, npy_complex64 *a, int *lda, s *vl, s *vu, int *il, int *iu, s *abstol, int *m, s *w, npy_complex64 *z, int *ldz, int *isuppz, npy_complex64 *work, int *lwork, s *rwork, int *lrwork, int *iwork, int *liwork, int *info) nogil
cdef void cheevr(char *jobz, char *range, char *uplo, int *n, c *a, int *lda, s *vl, s *vu, int *il, int *iu, s *abstol, int *m, s *w, c *z, int *ldz, int *isuppz, c *work, int *lwork, s *rwork, int *lrwork, int *iwork, int *liwork, int *info) noexcept nogil:
    
    _fortran_cheevr(jobz, range, uplo, n, <npy_complex64*>a, lda, vl, vu, il, iu, abstol, m, w, <npy_complex64*>z, ldz, isuppz, <npy_complex64*>work, lwork, rwork, lrwork, iwork, liwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cheevx "BLAS_FUNC(cheevx)"(char *jobz, char *range, char *uplo, int *n, npy_complex64 *a, int *lda, s *vl, s *vu, int *il, int *iu, s *abstol, int *m, s *w, npy_complex64 *z, int *ldz, npy_complex64 *work, int *lwork, s *rwork, int *iwork, int *ifail, int *info) nogil
cdef void cheevx(char *jobz, char *range, char *uplo, int *n, c *a, int *lda, s *vl, s *vu, int *il, int *iu, s *abstol, int *m, s *w, c *z, int *ldz, c *work, int *lwork, s *rwork, int *iwork, int *ifail, int *info) noexcept nogil:
    
    _fortran_cheevx(jobz, range, uplo, n, <npy_complex64*>a, lda, vl, vu, il, iu, abstol, m, w, <npy_complex64*>z, ldz, <npy_complex64*>work, lwork, rwork, iwork, ifail, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_chegs2 "BLAS_FUNC(chegs2)"(int *itype, char *uplo, int *n, npy_complex64 *a, int *lda, npy_complex64 *b, int *ldb, int *info) nogil
cdef void chegs2(int *itype, char *uplo, int *n, c *a, int *lda, c *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_chegs2(itype, uplo, n, <npy_complex64*>a, lda, <npy_complex64*>b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_chegst "BLAS_FUNC(chegst)"(int *itype, char *uplo, int *n, npy_complex64 *a, int *lda, npy_complex64 *b, int *ldb, int *info) nogil
cdef void chegst(int *itype, char *uplo, int *n, c *a, int *lda, c *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_chegst(itype, uplo, n, <npy_complex64*>a, lda, <npy_complex64*>b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_chegv "BLAS_FUNC(chegv)"(int *itype, char *jobz, char *uplo, int *n, npy_complex64 *a, int *lda, npy_complex64 *b, int *ldb, s *w, npy_complex64 *work, int *lwork, s *rwork, int *info) nogil
cdef void chegv(int *itype, char *jobz, char *uplo, int *n, c *a, int *lda, c *b, int *ldb, s *w, c *work, int *lwork, s *rwork, int *info) noexcept nogil:
    
    _fortran_chegv(itype, jobz, uplo, n, <npy_complex64*>a, lda, <npy_complex64*>b, ldb, w, <npy_complex64*>work, lwork, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_chegvd "BLAS_FUNC(chegvd)"(int *itype, char *jobz, char *uplo, int *n, npy_complex64 *a, int *lda, npy_complex64 *b, int *ldb, s *w, npy_complex64 *work, int *lwork, s *rwork, int *lrwork, int *iwork, int *liwork, int *info) nogil
cdef void chegvd(int *itype, char *jobz, char *uplo, int *n, c *a, int *lda, c *b, int *ldb, s *w, c *work, int *lwork, s *rwork, int *lrwork, int *iwork, int *liwork, int *info) noexcept nogil:
    
    _fortran_chegvd(itype, jobz, uplo, n, <npy_complex64*>a, lda, <npy_complex64*>b, ldb, w, <npy_complex64*>work, lwork, rwork, lrwork, iwork, liwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_chegvx "BLAS_FUNC(chegvx)"(int *itype, char *jobz, char *range, char *uplo, int *n, npy_complex64 *a, int *lda, npy_complex64 *b, int *ldb, s *vl, s *vu, int *il, int *iu, s *abstol, int *m, s *w, npy_complex64 *z, int *ldz, npy_complex64 *work, int *lwork, s *rwork, int *iwork, int *ifail, int *info) nogil
cdef void chegvx(int *itype, char *jobz, char *range, char *uplo, int *n, c *a, int *lda, c *b, int *ldb, s *vl, s *vu, int *il, int *iu, s *abstol, int *m, s *w, c *z, int *ldz, c *work, int *lwork, s *rwork, int *iwork, int *ifail, int *info) noexcept nogil:
    
    _fortran_chegvx(itype, jobz, range, uplo, n, <npy_complex64*>a, lda, <npy_complex64*>b, ldb, vl, vu, il, iu, abstol, m, w, <npy_complex64*>z, ldz, <npy_complex64*>work, lwork, rwork, iwork, ifail, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cherfs "BLAS_FUNC(cherfs)"(char *uplo, int *n, int *nrhs, npy_complex64 *a, int *lda, npy_complex64 *af, int *ldaf, int *ipiv, npy_complex64 *b, int *ldb, npy_complex64 *x, int *ldx, s *ferr, s *berr, npy_complex64 *work, s *rwork, int *info) nogil
cdef void cherfs(char *uplo, int *n, int *nrhs, c *a, int *lda, c *af, int *ldaf, int *ipiv, c *b, int *ldb, c *x, int *ldx, s *ferr, s *berr, c *work, s *rwork, int *info) noexcept nogil:
    
    _fortran_cherfs(uplo, n, nrhs, <npy_complex64*>a, lda, <npy_complex64*>af, ldaf, ipiv, <npy_complex64*>b, ldb, <npy_complex64*>x, ldx, ferr, berr, <npy_complex64*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_chesv "BLAS_FUNC(chesv)"(char *uplo, int *n, int *nrhs, npy_complex64 *a, int *lda, int *ipiv, npy_complex64 *b, int *ldb, npy_complex64 *work, int *lwork, int *info) nogil
cdef void chesv(char *uplo, int *n, int *nrhs, c *a, int *lda, int *ipiv, c *b, int *ldb, c *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_chesv(uplo, n, nrhs, <npy_complex64*>a, lda, ipiv, <npy_complex64*>b, ldb, <npy_complex64*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_chesvx "BLAS_FUNC(chesvx)"(char *fact, char *uplo, int *n, int *nrhs, npy_complex64 *a, int *lda, npy_complex64 *af, int *ldaf, int *ipiv, npy_complex64 *b, int *ldb, npy_complex64 *x, int *ldx, s *rcond, s *ferr, s *berr, npy_complex64 *work, int *lwork, s *rwork, int *info) nogil
cdef void chesvx(char *fact, char *uplo, int *n, int *nrhs, c *a, int *lda, c *af, int *ldaf, int *ipiv, c *b, int *ldb, c *x, int *ldx, s *rcond, s *ferr, s *berr, c *work, int *lwork, s *rwork, int *info) noexcept nogil:
    
    _fortran_chesvx(fact, uplo, n, nrhs, <npy_complex64*>a, lda, <npy_complex64*>af, ldaf, ipiv, <npy_complex64*>b, ldb, <npy_complex64*>x, ldx, rcond, ferr, berr, <npy_complex64*>work, lwork, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cheswapr "BLAS_FUNC(cheswapr)"(char *uplo, int *n, npy_complex64 *a, int *lda, int *i1, int *i2) nogil
cdef void cheswapr(char *uplo, int *n, c *a, int *lda, int *i1, int *i2) noexcept nogil:
    
    _fortran_cheswapr(uplo, n, <npy_complex64*>a, lda, i1, i2)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_chetd2 "BLAS_FUNC(chetd2)"(char *uplo, int *n, npy_complex64 *a, int *lda, s *d, s *e, npy_complex64 *tau, int *info) nogil
cdef void chetd2(char *uplo, int *n, c *a, int *lda, s *d, s *e, c *tau, int *info) noexcept nogil:
    
    _fortran_chetd2(uplo, n, <npy_complex64*>a, lda, d, e, <npy_complex64*>tau, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_chetf2 "BLAS_FUNC(chetf2)"(char *uplo, int *n, npy_complex64 *a, int *lda, int *ipiv, int *info) nogil
cdef void chetf2(char *uplo, int *n, c *a, int *lda, int *ipiv, int *info) noexcept nogil:
    
    _fortran_chetf2(uplo, n, <npy_complex64*>a, lda, ipiv, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_chetrd "BLAS_FUNC(chetrd)"(char *uplo, int *n, npy_complex64 *a, int *lda, s *d, s *e, npy_complex64 *tau, npy_complex64 *work, int *lwork, int *info) nogil
cdef void chetrd(char *uplo, int *n, c *a, int *lda, s *d, s *e, c *tau, c *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_chetrd(uplo, n, <npy_complex64*>a, lda, d, e, <npy_complex64*>tau, <npy_complex64*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_chetrf "BLAS_FUNC(chetrf)"(char *uplo, int *n, npy_complex64 *a, int *lda, int *ipiv, npy_complex64 *work, int *lwork, int *info) nogil
cdef void chetrf(char *uplo, int *n, c *a, int *lda, int *ipiv, c *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_chetrf(uplo, n, <npy_complex64*>a, lda, ipiv, <npy_complex64*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_chetri "BLAS_FUNC(chetri)"(char *uplo, int *n, npy_complex64 *a, int *lda, int *ipiv, npy_complex64 *work, int *info) nogil
cdef void chetri(char *uplo, int *n, c *a, int *lda, int *ipiv, c *work, int *info) noexcept nogil:
    
    _fortran_chetri(uplo, n, <npy_complex64*>a, lda, ipiv, <npy_complex64*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_chetri2 "BLAS_FUNC(chetri2)"(char *uplo, int *n, npy_complex64 *a, int *lda, int *ipiv, npy_complex64 *work, int *lwork, int *info) nogil
cdef void chetri2(char *uplo, int *n, c *a, int *lda, int *ipiv, c *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_chetri2(uplo, n, <npy_complex64*>a, lda, ipiv, <npy_complex64*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_chetri2x "BLAS_FUNC(chetri2x)"(char *uplo, int *n, npy_complex64 *a, int *lda, int *ipiv, npy_complex64 *work, int *nb, int *info) nogil
cdef void chetri2x(char *uplo, int *n, c *a, int *lda, int *ipiv, c *work, int *nb, int *info) noexcept nogil:
    
    _fortran_chetri2x(uplo, n, <npy_complex64*>a, lda, ipiv, <npy_complex64*>work, nb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_chetrs "BLAS_FUNC(chetrs)"(char *uplo, int *n, int *nrhs, npy_complex64 *a, int *lda, int *ipiv, npy_complex64 *b, int *ldb, int *info) nogil
cdef void chetrs(char *uplo, int *n, int *nrhs, c *a, int *lda, int *ipiv, c *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_chetrs(uplo, n, nrhs, <npy_complex64*>a, lda, ipiv, <npy_complex64*>b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_chetrs2 "BLAS_FUNC(chetrs2)"(char *uplo, int *n, int *nrhs, npy_complex64 *a, int *lda, int *ipiv, npy_complex64 *b, int *ldb, npy_complex64 *work, int *info) nogil
cdef void chetrs2(char *uplo, int *n, int *nrhs, c *a, int *lda, int *ipiv, c *b, int *ldb, c *work, int *info) noexcept nogil:
    
    _fortran_chetrs2(uplo, n, nrhs, <npy_complex64*>a, lda, ipiv, <npy_complex64*>b, ldb, <npy_complex64*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_chfrk "BLAS_FUNC(chfrk)"(char *transr, char *uplo, char *trans, int *n, int *k, s *alpha, npy_complex64 *a, int *lda, s *beta, npy_complex64 *c) nogil
cdef void chfrk(char *transr, char *uplo, char *trans, int *n, int *k, s *alpha, c *a, int *lda, s *beta, c *c) noexcept nogil:
    
    _fortran_chfrk(transr, uplo, trans, n, k, alpha, <npy_complex64*>a, lda, beta, <npy_complex64*>c)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_chgeqz "BLAS_FUNC(chgeqz)"(char *job, char *compq, char *compz, int *n, int *ilo, int *ihi, npy_complex64 *h, int *ldh, npy_complex64 *t, int *ldt, npy_complex64 *alpha, npy_complex64 *beta, npy_complex64 *q, int *ldq, npy_complex64 *z, int *ldz, npy_complex64 *work, int *lwork, s *rwork, int *info) nogil
cdef void chgeqz(char *job, char *compq, char *compz, int *n, int *ilo, int *ihi, c *h, int *ldh, c *t, int *ldt, c *alpha, c *beta, c *q, int *ldq, c *z, int *ldz, c *work, int *lwork, s *rwork, int *info) noexcept nogil:
    
    _fortran_chgeqz(job, compq, compz, n, ilo, ihi, <npy_complex64*>h, ldh, <npy_complex64*>t, ldt, <npy_complex64*>alpha, <npy_complex64*>beta, <npy_complex64*>q, ldq, <npy_complex64*>z, ldz, <npy_complex64*>work, lwork, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    char _fortran_chla_transtype "BLAS_FUNC(chla_transtype)"(int *trans) nogil
cdef char chla_transtype(int *trans) noexcept nogil:
    
    return _fortran_chla_transtype(trans)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_chpcon "BLAS_FUNC(chpcon)"(char *uplo, int *n, npy_complex64 *ap, int *ipiv, s *anorm, s *rcond, npy_complex64 *work, int *info) nogil
cdef void chpcon(char *uplo, int *n, c *ap, int *ipiv, s *anorm, s *rcond, c *work, int *info) noexcept nogil:
    
    _fortran_chpcon(uplo, n, <npy_complex64*>ap, ipiv, anorm, rcond, <npy_complex64*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_chpev "BLAS_FUNC(chpev)"(char *jobz, char *uplo, int *n, npy_complex64 *ap, s *w, npy_complex64 *z, int *ldz, npy_complex64 *work, s *rwork, int *info) nogil
cdef void chpev(char *jobz, char *uplo, int *n, c *ap, s *w, c *z, int *ldz, c *work, s *rwork, int *info) noexcept nogil:
    
    _fortran_chpev(jobz, uplo, n, <npy_complex64*>ap, w, <npy_complex64*>z, ldz, <npy_complex64*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_chpevd "BLAS_FUNC(chpevd)"(char *jobz, char *uplo, int *n, npy_complex64 *ap, s *w, npy_complex64 *z, int *ldz, npy_complex64 *work, int *lwork, s *rwork, int *lrwork, int *iwork, int *liwork, int *info) nogil
cdef void chpevd(char *jobz, char *uplo, int *n, c *ap, s *w, c *z, int *ldz, c *work, int *lwork, s *rwork, int *lrwork, int *iwork, int *liwork, int *info) noexcept nogil:
    
    _fortran_chpevd(jobz, uplo, n, <npy_complex64*>ap, w, <npy_complex64*>z, ldz, <npy_complex64*>work, lwork, rwork, lrwork, iwork, liwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_chpevx "BLAS_FUNC(chpevx)"(char *jobz, char *range, char *uplo, int *n, npy_complex64 *ap, s *vl, s *vu, int *il, int *iu, s *abstol, int *m, s *w, npy_complex64 *z, int *ldz, npy_complex64 *work, s *rwork, int *iwork, int *ifail, int *info) nogil
cdef void chpevx(char *jobz, char *range, char *uplo, int *n, c *ap, s *vl, s *vu, int *il, int *iu, s *abstol, int *m, s *w, c *z, int *ldz, c *work, s *rwork, int *iwork, int *ifail, int *info) noexcept nogil:
    
    _fortran_chpevx(jobz, range, uplo, n, <npy_complex64*>ap, vl, vu, il, iu, abstol, m, w, <npy_complex64*>z, ldz, <npy_complex64*>work, rwork, iwork, ifail, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_chpgst "BLAS_FUNC(chpgst)"(int *itype, char *uplo, int *n, npy_complex64 *ap, npy_complex64 *bp, int *info) nogil
cdef void chpgst(int *itype, char *uplo, int *n, c *ap, c *bp, int *info) noexcept nogil:
    
    _fortran_chpgst(itype, uplo, n, <npy_complex64*>ap, <npy_complex64*>bp, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_chpgv "BLAS_FUNC(chpgv)"(int *itype, char *jobz, char *uplo, int *n, npy_complex64 *ap, npy_complex64 *bp, s *w, npy_complex64 *z, int *ldz, npy_complex64 *work, s *rwork, int *info) nogil
cdef void chpgv(int *itype, char *jobz, char *uplo, int *n, c *ap, c *bp, s *w, c *z, int *ldz, c *work, s *rwork, int *info) noexcept nogil:
    
    _fortran_chpgv(itype, jobz, uplo, n, <npy_complex64*>ap, <npy_complex64*>bp, w, <npy_complex64*>z, ldz, <npy_complex64*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_chpgvd "BLAS_FUNC(chpgvd)"(int *itype, char *jobz, char *uplo, int *n, npy_complex64 *ap, npy_complex64 *bp, s *w, npy_complex64 *z, int *ldz, npy_complex64 *work, int *lwork, s *rwork, int *lrwork, int *iwork, int *liwork, int *info) nogil
cdef void chpgvd(int *itype, char *jobz, char *uplo, int *n, c *ap, c *bp, s *w, c *z, int *ldz, c *work, int *lwork, s *rwork, int *lrwork, int *iwork, int *liwork, int *info) noexcept nogil:
    
    _fortran_chpgvd(itype, jobz, uplo, n, <npy_complex64*>ap, <npy_complex64*>bp, w, <npy_complex64*>z, ldz, <npy_complex64*>work, lwork, rwork, lrwork, iwork, liwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_chpgvx "BLAS_FUNC(chpgvx)"(int *itype, char *jobz, char *range, char *uplo, int *n, npy_complex64 *ap, npy_complex64 *bp, s *vl, s *vu, int *il, int *iu, s *abstol, int *m, s *w, npy_complex64 *z, int *ldz, npy_complex64 *work, s *rwork, int *iwork, int *ifail, int *info) nogil
cdef void chpgvx(int *itype, char *jobz, char *range, char *uplo, int *n, c *ap, c *bp, s *vl, s *vu, int *il, int *iu, s *abstol, int *m, s *w, c *z, int *ldz, c *work, s *rwork, int *iwork, int *ifail, int *info) noexcept nogil:
    
    _fortran_chpgvx(itype, jobz, range, uplo, n, <npy_complex64*>ap, <npy_complex64*>bp, vl, vu, il, iu, abstol, m, w, <npy_complex64*>z, ldz, <npy_complex64*>work, rwork, iwork, ifail, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_chprfs "BLAS_FUNC(chprfs)"(char *uplo, int *n, int *nrhs, npy_complex64 *ap, npy_complex64 *afp, int *ipiv, npy_complex64 *b, int *ldb, npy_complex64 *x, int *ldx, s *ferr, s *berr, npy_complex64 *work, s *rwork, int *info) nogil
cdef void chprfs(char *uplo, int *n, int *nrhs, c *ap, c *afp, int *ipiv, c *b, int *ldb, c *x, int *ldx, s *ferr, s *berr, c *work, s *rwork, int *info) noexcept nogil:
    
    _fortran_chprfs(uplo, n, nrhs, <npy_complex64*>ap, <npy_complex64*>afp, ipiv, <npy_complex64*>b, ldb, <npy_complex64*>x, ldx, ferr, berr, <npy_complex64*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_chpsv "BLAS_FUNC(chpsv)"(char *uplo, int *n, int *nrhs, npy_complex64 *ap, int *ipiv, npy_complex64 *b, int *ldb, int *info) nogil
cdef void chpsv(char *uplo, int *n, int *nrhs, c *ap, int *ipiv, c *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_chpsv(uplo, n, nrhs, <npy_complex64*>ap, ipiv, <npy_complex64*>b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_chpsvx "BLAS_FUNC(chpsvx)"(char *fact, char *uplo, int *n, int *nrhs, npy_complex64 *ap, npy_complex64 *afp, int *ipiv, npy_complex64 *b, int *ldb, npy_complex64 *x, int *ldx, s *rcond, s *ferr, s *berr, npy_complex64 *work, s *rwork, int *info) nogil
cdef void chpsvx(char *fact, char *uplo, int *n, int *nrhs, c *ap, c *afp, int *ipiv, c *b, int *ldb, c *x, int *ldx, s *rcond, s *ferr, s *berr, c *work, s *rwork, int *info) noexcept nogil:
    
    _fortran_chpsvx(fact, uplo, n, nrhs, <npy_complex64*>ap, <npy_complex64*>afp, ipiv, <npy_complex64*>b, ldb, <npy_complex64*>x, ldx, rcond, ferr, berr, <npy_complex64*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_chptrd "BLAS_FUNC(chptrd)"(char *uplo, int *n, npy_complex64 *ap, s *d, s *e, npy_complex64 *tau, int *info) nogil
cdef void chptrd(char *uplo, int *n, c *ap, s *d, s *e, c *tau, int *info) noexcept nogil:
    
    _fortran_chptrd(uplo, n, <npy_complex64*>ap, d, e, <npy_complex64*>tau, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_chptrf "BLAS_FUNC(chptrf)"(char *uplo, int *n, npy_complex64 *ap, int *ipiv, int *info) nogil
cdef void chptrf(char *uplo, int *n, c *ap, int *ipiv, int *info) noexcept nogil:
    
    _fortran_chptrf(uplo, n, <npy_complex64*>ap, ipiv, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_chptri "BLAS_FUNC(chptri)"(char *uplo, int *n, npy_complex64 *ap, int *ipiv, npy_complex64 *work, int *info) nogil
cdef void chptri(char *uplo, int *n, c *ap, int *ipiv, c *work, int *info) noexcept nogil:
    
    _fortran_chptri(uplo, n, <npy_complex64*>ap, ipiv, <npy_complex64*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_chptrs "BLAS_FUNC(chptrs)"(char *uplo, int *n, int *nrhs, npy_complex64 *ap, int *ipiv, npy_complex64 *b, int *ldb, int *info) nogil
cdef void chptrs(char *uplo, int *n, int *nrhs, c *ap, int *ipiv, c *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_chptrs(uplo, n, nrhs, <npy_complex64*>ap, ipiv, <npy_complex64*>b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_chsein "BLAS_FUNC(chsein)"(char *side, char *eigsrc, char *initv, bint *select, int *n, npy_complex64 *h, int *ldh, npy_complex64 *w, npy_complex64 *vl, int *ldvl, npy_complex64 *vr, int *ldvr, int *mm, int *m, npy_complex64 *work, s *rwork, int *ifaill, int *ifailr, int *info) nogil
cdef void chsein(char *side, char *eigsrc, char *initv, bint *select, int *n, c *h, int *ldh, c *w, c *vl, int *ldvl, c *vr, int *ldvr, int *mm, int *m, c *work, s *rwork, int *ifaill, int *ifailr, int *info) noexcept nogil:
    
    _fortran_chsein(side, eigsrc, initv, select, n, <npy_complex64*>h, ldh, <npy_complex64*>w, <npy_complex64*>vl, ldvl, <npy_complex64*>vr, ldvr, mm, m, <npy_complex64*>work, rwork, ifaill, ifailr, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_chseqr "BLAS_FUNC(chseqr)"(char *job, char *compz, int *n, int *ilo, int *ihi, npy_complex64 *h, int *ldh, npy_complex64 *w, npy_complex64 *z, int *ldz, npy_complex64 *work, int *lwork, int *info) nogil
cdef void chseqr(char *job, char *compz, int *n, int *ilo, int *ihi, c *h, int *ldh, c *w, c *z, int *ldz, c *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_chseqr(job, compz, n, ilo, ihi, <npy_complex64*>h, ldh, <npy_complex64*>w, <npy_complex64*>z, ldz, <npy_complex64*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_clabrd "BLAS_FUNC(clabrd)"(int *m, int *n, int *nb, npy_complex64 *a, int *lda, s *d, s *e, npy_complex64 *tauq, npy_complex64 *taup, npy_complex64 *x, int *ldx, npy_complex64 *y, int *ldy) nogil
cdef void clabrd(int *m, int *n, int *nb, c *a, int *lda, s *d, s *e, c *tauq, c *taup, c *x, int *ldx, c *y, int *ldy) noexcept nogil:
    
    _fortran_clabrd(m, n, nb, <npy_complex64*>a, lda, d, e, <npy_complex64*>tauq, <npy_complex64*>taup, <npy_complex64*>x, ldx, <npy_complex64*>y, ldy)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_clacgv "BLAS_FUNC(clacgv)"(int *n, npy_complex64 *x, int *incx) nogil
cdef void clacgv(int *n, c *x, int *incx) noexcept nogil:
    
    _fortran_clacgv(n, <npy_complex64*>x, incx)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_clacn2 "BLAS_FUNC(clacn2)"(int *n, npy_complex64 *v, npy_complex64 *x, s *est, int *kase, int *isave) nogil
cdef void clacn2(int *n, c *v, c *x, s *est, int *kase, int *isave) noexcept nogil:
    
    _fortran_clacn2(n, <npy_complex64*>v, <npy_complex64*>x, est, kase, isave)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_clacon "BLAS_FUNC(clacon)"(int *n, npy_complex64 *v, npy_complex64 *x, s *est, int *kase) nogil
cdef void clacon(int *n, c *v, c *x, s *est, int *kase) noexcept nogil:
    
    _fortran_clacon(n, <npy_complex64*>v, <npy_complex64*>x, est, kase)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_clacp2 "BLAS_FUNC(clacp2)"(char *uplo, int *m, int *n, s *a, int *lda, npy_complex64 *b, int *ldb) nogil
cdef void clacp2(char *uplo, int *m, int *n, s *a, int *lda, c *b, int *ldb) noexcept nogil:
    
    _fortran_clacp2(uplo, m, n, a, lda, <npy_complex64*>b, ldb)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_clacpy "BLAS_FUNC(clacpy)"(char *uplo, int *m, int *n, npy_complex64 *a, int *lda, npy_complex64 *b, int *ldb) nogil
cdef void clacpy(char *uplo, int *m, int *n, c *a, int *lda, c *b, int *ldb) noexcept nogil:
    
    _fortran_clacpy(uplo, m, n, <npy_complex64*>a, lda, <npy_complex64*>b, ldb)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_clacrm "BLAS_FUNC(clacrm)"(int *m, int *n, npy_complex64 *a, int *lda, s *b, int *ldb, npy_complex64 *c, int *ldc, s *rwork) nogil
cdef void clacrm(int *m, int *n, c *a, int *lda, s *b, int *ldb, c *c, int *ldc, s *rwork) noexcept nogil:
    
    _fortran_clacrm(m, n, <npy_complex64*>a, lda, b, ldb, <npy_complex64*>c, ldc, rwork)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_clacrt "BLAS_FUNC(clacrt)"(int *n, npy_complex64 *cx, int *incx, npy_complex64 *cy, int *incy, npy_complex64 *c, npy_complex64 *s) nogil
cdef void clacrt(int *n, c *cx, int *incx, c *cy, int *incy, c *c, c *s) noexcept nogil:
    
    _fortran_clacrt(n, <npy_complex64*>cx, incx, <npy_complex64*>cy, incy, <npy_complex64*>c, <npy_complex64*>s)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cladiv "F_FUNC(cladivwrp,CLADIVWRP)"(npy_complex64 *out, npy_complex64 *x, npy_complex64 *y) nogil
cdef c cladiv(c *x, c *y) noexcept nogil:
    cdef c out
    _fortran_cladiv(<npy_complex64*>&out, <npy_complex64*>x, <npy_complex64*>y)
    return out

cdef extern from "_lapack_subroutines.h":
    void _fortran_claed0 "BLAS_FUNC(claed0)"(int *qsiz, int *n, s *d, s *e, npy_complex64 *q, int *ldq, npy_complex64 *qstore, int *ldqs, s *rwork, int *iwork, int *info) nogil
cdef void claed0(int *qsiz, int *n, s *d, s *e, c *q, int *ldq, c *qstore, int *ldqs, s *rwork, int *iwork, int *info) noexcept nogil:
    
    _fortran_claed0(qsiz, n, d, e, <npy_complex64*>q, ldq, <npy_complex64*>qstore, ldqs, rwork, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_claed7 "BLAS_FUNC(claed7)"(int *n, int *cutpnt, int *qsiz, int *tlvls, int *curlvl, int *curpbm, s *d, npy_complex64 *q, int *ldq, s *rho, int *indxq, s *qstore, int *qptr, int *prmptr, int *perm, int *givptr, int *givcol, s *givnum, npy_complex64 *work, s *rwork, int *iwork, int *info) nogil
cdef void claed7(int *n, int *cutpnt, int *qsiz, int *tlvls, int *curlvl, int *curpbm, s *d, c *q, int *ldq, s *rho, int *indxq, s *qstore, int *qptr, int *prmptr, int *perm, int *givptr, int *givcol, s *givnum, c *work, s *rwork, int *iwork, int *info) noexcept nogil:
    
    _fortran_claed7(n, cutpnt, qsiz, tlvls, curlvl, curpbm, d, <npy_complex64*>q, ldq, rho, indxq, qstore, qptr, prmptr, perm, givptr, givcol, givnum, <npy_complex64*>work, rwork, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_claed8 "BLAS_FUNC(claed8)"(int *k, int *n, int *qsiz, npy_complex64 *q, int *ldq, s *d, s *rho, int *cutpnt, s *z, s *dlamda, npy_complex64 *q2, int *ldq2, s *w, int *indxp, int *indx, int *indxq, int *perm, int *givptr, int *givcol, s *givnum, int *info) nogil
cdef void claed8(int *k, int *n, int *qsiz, c *q, int *ldq, s *d, s *rho, int *cutpnt, s *z, s *dlamda, c *q2, int *ldq2, s *w, int *indxp, int *indx, int *indxq, int *perm, int *givptr, int *givcol, s *givnum, int *info) noexcept nogil:
    
    _fortran_claed8(k, n, qsiz, <npy_complex64*>q, ldq, d, rho, cutpnt, z, dlamda, <npy_complex64*>q2, ldq2, w, indxp, indx, indxq, perm, givptr, givcol, givnum, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_claein "BLAS_FUNC(claein)"(bint *rightv, bint *noinit, int *n, npy_complex64 *h, int *ldh, npy_complex64 *w, npy_complex64 *v, npy_complex64 *b, int *ldb, s *rwork, s *eps3, s *smlnum, int *info) nogil
cdef void claein(bint *rightv, bint *noinit, int *n, c *h, int *ldh, c *w, c *v, c *b, int *ldb, s *rwork, s *eps3, s *smlnum, int *info) noexcept nogil:
    
    _fortran_claein(rightv, noinit, n, <npy_complex64*>h, ldh, <npy_complex64*>w, <npy_complex64*>v, <npy_complex64*>b, ldb, rwork, eps3, smlnum, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_claesy "BLAS_FUNC(claesy)"(npy_complex64 *a, npy_complex64 *b, npy_complex64 *c, npy_complex64 *rt1, npy_complex64 *rt2, npy_complex64 *evscal, npy_complex64 *cs1, npy_complex64 *sn1) nogil
cdef void claesy(c *a, c *b, c *c, c *rt1, c *rt2, c *evscal, c *cs1, c *sn1) noexcept nogil:
    
    _fortran_claesy(<npy_complex64*>a, <npy_complex64*>b, <npy_complex64*>c, <npy_complex64*>rt1, <npy_complex64*>rt2, <npy_complex64*>evscal, <npy_complex64*>cs1, <npy_complex64*>sn1)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_claev2 "BLAS_FUNC(claev2)"(npy_complex64 *a, npy_complex64 *b, npy_complex64 *c, s *rt1, s *rt2, s *cs1, npy_complex64 *sn1) nogil
cdef void claev2(c *a, c *b, c *c, s *rt1, s *rt2, s *cs1, c *sn1) noexcept nogil:
    
    _fortran_claev2(<npy_complex64*>a, <npy_complex64*>b, <npy_complex64*>c, rt1, rt2, cs1, <npy_complex64*>sn1)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_clag2z "BLAS_FUNC(clag2z)"(int *m, int *n, npy_complex64 *sa, int *ldsa, npy_complex128 *a, int *lda, int *info) nogil
cdef void clag2z(int *m, int *n, c *sa, int *ldsa, z *a, int *lda, int *info) noexcept nogil:
    
    _fortran_clag2z(m, n, <npy_complex64*>sa, ldsa, <npy_complex128*>a, lda, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_clags2 "BLAS_FUNC(clags2)"(bint *upper, s *a1, npy_complex64 *a2, s *a3, s *b1, npy_complex64 *b2, s *b3, s *csu, npy_complex64 *snu, s *csv, npy_complex64 *snv, s *csq, npy_complex64 *snq) nogil
cdef void clags2(bint *upper, s *a1, c *a2, s *a3, s *b1, c *b2, s *b3, s *csu, c *snu, s *csv, c *snv, s *csq, c *snq) noexcept nogil:
    
    _fortran_clags2(upper, a1, <npy_complex64*>a2, a3, b1, <npy_complex64*>b2, b3, csu, <npy_complex64*>snu, csv, <npy_complex64*>snv, csq, <npy_complex64*>snq)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_clagtm "BLAS_FUNC(clagtm)"(char *trans, int *n, int *nrhs, s *alpha, npy_complex64 *dl, npy_complex64 *d, npy_complex64 *du, npy_complex64 *x, int *ldx, s *beta, npy_complex64 *b, int *ldb) nogil
cdef void clagtm(char *trans, int *n, int *nrhs, s *alpha, c *dl, c *d, c *du, c *x, int *ldx, s *beta, c *b, int *ldb) noexcept nogil:
    
    _fortran_clagtm(trans, n, nrhs, alpha, <npy_complex64*>dl, <npy_complex64*>d, <npy_complex64*>du, <npy_complex64*>x, ldx, beta, <npy_complex64*>b, ldb)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_clahef "BLAS_FUNC(clahef)"(char *uplo, int *n, int *nb, int *kb, npy_complex64 *a, int *lda, int *ipiv, npy_complex64 *w, int *ldw, int *info) nogil
cdef void clahef(char *uplo, int *n, int *nb, int *kb, c *a, int *lda, int *ipiv, c *w, int *ldw, int *info) noexcept nogil:
    
    _fortran_clahef(uplo, n, nb, kb, <npy_complex64*>a, lda, ipiv, <npy_complex64*>w, ldw, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_clahqr "BLAS_FUNC(clahqr)"(bint *wantt, bint *wantz, int *n, int *ilo, int *ihi, npy_complex64 *h, int *ldh, npy_complex64 *w, int *iloz, int *ihiz, npy_complex64 *z, int *ldz, int *info) nogil
cdef void clahqr(bint *wantt, bint *wantz, int *n, int *ilo, int *ihi, c *h, int *ldh, c *w, int *iloz, int *ihiz, c *z, int *ldz, int *info) noexcept nogil:
    
    _fortran_clahqr(wantt, wantz, n, ilo, ihi, <npy_complex64*>h, ldh, <npy_complex64*>w, iloz, ihiz, <npy_complex64*>z, ldz, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_clahr2 "BLAS_FUNC(clahr2)"(int *n, int *k, int *nb, npy_complex64 *a, int *lda, npy_complex64 *tau, npy_complex64 *t, int *ldt, npy_complex64 *y, int *ldy) nogil
cdef void clahr2(int *n, int *k, int *nb, c *a, int *lda, c *tau, c *t, int *ldt, c *y, int *ldy) noexcept nogil:
    
    _fortran_clahr2(n, k, nb, <npy_complex64*>a, lda, <npy_complex64*>tau, <npy_complex64*>t, ldt, <npy_complex64*>y, ldy)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_claic1 "BLAS_FUNC(claic1)"(int *job, int *j, npy_complex64 *x, s *sest, npy_complex64 *w, npy_complex64 *gamma, s *sestpr, npy_complex64 *s, npy_complex64 *c) nogil
cdef void claic1(int *job, int *j, c *x, s *sest, c *w, c *gamma, s *sestpr, c *s, c *c) noexcept nogil:
    
    _fortran_claic1(job, j, <npy_complex64*>x, sest, <npy_complex64*>w, <npy_complex64*>gamma, sestpr, <npy_complex64*>s, <npy_complex64*>c)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_clals0 "BLAS_FUNC(clals0)"(int *icompq, int *nl, int *nr, int *sqre, int *nrhs, npy_complex64 *b, int *ldb, npy_complex64 *bx, int *ldbx, int *perm, int *givptr, int *givcol, int *ldgcol, s *givnum, int *ldgnum, s *poles, s *difl, s *difr, s *z, int *k, s *c, s *s, s *rwork, int *info) nogil
cdef void clals0(int *icompq, int *nl, int *nr, int *sqre, int *nrhs, c *b, int *ldb, c *bx, int *ldbx, int *perm, int *givptr, int *givcol, int *ldgcol, s *givnum, int *ldgnum, s *poles, s *difl, s *difr, s *z, int *k, s *c, s *s, s *rwork, int *info) noexcept nogil:
    
    _fortran_clals0(icompq, nl, nr, sqre, nrhs, <npy_complex64*>b, ldb, <npy_complex64*>bx, ldbx, perm, givptr, givcol, ldgcol, givnum, ldgnum, poles, difl, difr, z, k, c, s, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_clalsa "BLAS_FUNC(clalsa)"(int *icompq, int *smlsiz, int *n, int *nrhs, npy_complex64 *b, int *ldb, npy_complex64 *bx, int *ldbx, s *u, int *ldu, s *vt, int *k, s *difl, s *difr, s *z, s *poles, int *givptr, int *givcol, int *ldgcol, int *perm, s *givnum, s *c, s *s, s *rwork, int *iwork, int *info) nogil
cdef void clalsa(int *icompq, int *smlsiz, int *n, int *nrhs, c *b, int *ldb, c *bx, int *ldbx, s *u, int *ldu, s *vt, int *k, s *difl, s *difr, s *z, s *poles, int *givptr, int *givcol, int *ldgcol, int *perm, s *givnum, s *c, s *s, s *rwork, int *iwork, int *info) noexcept nogil:
    
    _fortran_clalsa(icompq, smlsiz, n, nrhs, <npy_complex64*>b, ldb, <npy_complex64*>bx, ldbx, u, ldu, vt, k, difl, difr, z, poles, givptr, givcol, ldgcol, perm, givnum, c, s, rwork, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_clalsd "BLAS_FUNC(clalsd)"(char *uplo, int *smlsiz, int *n, int *nrhs, s *d, s *e, npy_complex64 *b, int *ldb, s *rcond, int *rank, npy_complex64 *work, s *rwork, int *iwork, int *info) nogil
cdef void clalsd(char *uplo, int *smlsiz, int *n, int *nrhs, s *d, s *e, c *b, int *ldb, s *rcond, int *rank, c *work, s *rwork, int *iwork, int *info) noexcept nogil:
    
    _fortran_clalsd(uplo, smlsiz, n, nrhs, d, e, <npy_complex64*>b, ldb, rcond, rank, <npy_complex64*>work, rwork, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    s _fortran_clangb "BLAS_FUNC(clangb)"(char *norm, int *n, int *kl, int *ku, npy_complex64 *ab, int *ldab, s *work) nogil
cdef s clangb(char *norm, int *n, int *kl, int *ku, c *ab, int *ldab, s *work) noexcept nogil:
    
    return _fortran_clangb(norm, n, kl, ku, <npy_complex64*>ab, ldab, work)
    

cdef extern from "_lapack_subroutines.h":
    s _fortran_clange "BLAS_FUNC(clange)"(char *norm, int *m, int *n, npy_complex64 *a, int *lda, s *work) nogil
cdef s clange(char *norm, int *m, int *n, c *a, int *lda, s *work) noexcept nogil:
    
    return _fortran_clange(norm, m, n, <npy_complex64*>a, lda, work)
    

cdef extern from "_lapack_subroutines.h":
    s _fortran_clangt "BLAS_FUNC(clangt)"(char *norm, int *n, npy_complex64 *dl, npy_complex64 *d, npy_complex64 *du) nogil
cdef s clangt(char *norm, int *n, c *dl, c *d, c *du) noexcept nogil:
    
    return _fortran_clangt(norm, n, <npy_complex64*>dl, <npy_complex64*>d, <npy_complex64*>du)
    

cdef extern from "_lapack_subroutines.h":
    s _fortran_clanhb "BLAS_FUNC(clanhb)"(char *norm, char *uplo, int *n, int *k, npy_complex64 *ab, int *ldab, s *work) nogil
cdef s clanhb(char *norm, char *uplo, int *n, int *k, c *ab, int *ldab, s *work) noexcept nogil:
    
    return _fortran_clanhb(norm, uplo, n, k, <npy_complex64*>ab, ldab, work)
    

cdef extern from "_lapack_subroutines.h":
    s _fortran_clanhe "BLAS_FUNC(clanhe)"(char *norm, char *uplo, int *n, npy_complex64 *a, int *lda, s *work) nogil
cdef s clanhe(char *norm, char *uplo, int *n, c *a, int *lda, s *work) noexcept nogil:
    
    return _fortran_clanhe(norm, uplo, n, <npy_complex64*>a, lda, work)
    

cdef extern from "_lapack_subroutines.h":
    s _fortran_clanhf "BLAS_FUNC(clanhf)"(char *norm, char *transr, char *uplo, int *n, npy_complex64 *a, s *work) nogil
cdef s clanhf(char *norm, char *transr, char *uplo, int *n, c *a, s *work) noexcept nogil:
    
    return _fortran_clanhf(norm, transr, uplo, n, <npy_complex64*>a, work)
    

cdef extern from "_lapack_subroutines.h":
    s _fortran_clanhp "BLAS_FUNC(clanhp)"(char *norm, char *uplo, int *n, npy_complex64 *ap, s *work) nogil
cdef s clanhp(char *norm, char *uplo, int *n, c *ap, s *work) noexcept nogil:
    
    return _fortran_clanhp(norm, uplo, n, <npy_complex64*>ap, work)
    

cdef extern from "_lapack_subroutines.h":
    s _fortran_clanhs "BLAS_FUNC(clanhs)"(char *norm, int *n, npy_complex64 *a, int *lda, s *work) nogil
cdef s clanhs(char *norm, int *n, c *a, int *lda, s *work) noexcept nogil:
    
    return _fortran_clanhs(norm, n, <npy_complex64*>a, lda, work)
    

cdef extern from "_lapack_subroutines.h":
    s _fortran_clanht "BLAS_FUNC(clanht)"(char *norm, int *n, s *d, npy_complex64 *e) nogil
cdef s clanht(char *norm, int *n, s *d, c *e) noexcept nogil:
    
    return _fortran_clanht(norm, n, d, <npy_complex64*>e)
    

cdef extern from "_lapack_subroutines.h":
    s _fortran_clansb "BLAS_FUNC(clansb)"(char *norm, char *uplo, int *n, int *k, npy_complex64 *ab, int *ldab, s *work) nogil
cdef s clansb(char *norm, char *uplo, int *n, int *k, c *ab, int *ldab, s *work) noexcept nogil:
    
    return _fortran_clansb(norm, uplo, n, k, <npy_complex64*>ab, ldab, work)
    

cdef extern from "_lapack_subroutines.h":
    s _fortran_clansp "BLAS_FUNC(clansp)"(char *norm, char *uplo, int *n, npy_complex64 *ap, s *work) nogil
cdef s clansp(char *norm, char *uplo, int *n, c *ap, s *work) noexcept nogil:
    
    return _fortran_clansp(norm, uplo, n, <npy_complex64*>ap, work)
    

cdef extern from "_lapack_subroutines.h":
    s _fortran_clansy "BLAS_FUNC(clansy)"(char *norm, char *uplo, int *n, npy_complex64 *a, int *lda, s *work) nogil
cdef s clansy(char *norm, char *uplo, int *n, c *a, int *lda, s *work) noexcept nogil:
    
    return _fortran_clansy(norm, uplo, n, <npy_complex64*>a, lda, work)
    

cdef extern from "_lapack_subroutines.h":
    s _fortran_clantb "BLAS_FUNC(clantb)"(char *norm, char *uplo, char *diag, int *n, int *k, npy_complex64 *ab, int *ldab, s *work) nogil
cdef s clantb(char *norm, char *uplo, char *diag, int *n, int *k, c *ab, int *ldab, s *work) noexcept nogil:
    
    return _fortran_clantb(norm, uplo, diag, n, k, <npy_complex64*>ab, ldab, work)
    

cdef extern from "_lapack_subroutines.h":
    s _fortran_clantp "BLAS_FUNC(clantp)"(char *norm, char *uplo, char *diag, int *n, npy_complex64 *ap, s *work) nogil
cdef s clantp(char *norm, char *uplo, char *diag, int *n, c *ap, s *work) noexcept nogil:
    
    return _fortran_clantp(norm, uplo, diag, n, <npy_complex64*>ap, work)
    

cdef extern from "_lapack_subroutines.h":
    s _fortran_clantr "BLAS_FUNC(clantr)"(char *norm, char *uplo, char *diag, int *m, int *n, npy_complex64 *a, int *lda, s *work) nogil
cdef s clantr(char *norm, char *uplo, char *diag, int *m, int *n, c *a, int *lda, s *work) noexcept nogil:
    
    return _fortran_clantr(norm, uplo, diag, m, n, <npy_complex64*>a, lda, work)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_clapll "BLAS_FUNC(clapll)"(int *n, npy_complex64 *x, int *incx, npy_complex64 *y, int *incy, s *ssmin) nogil
cdef void clapll(int *n, c *x, int *incx, c *y, int *incy, s *ssmin) noexcept nogil:
    
    _fortran_clapll(n, <npy_complex64*>x, incx, <npy_complex64*>y, incy, ssmin)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_clapmr "BLAS_FUNC(clapmr)"(bint *forwrd, int *m, int *n, npy_complex64 *x, int *ldx, int *k) nogil
cdef void clapmr(bint *forwrd, int *m, int *n, c *x, int *ldx, int *k) noexcept nogil:
    
    _fortran_clapmr(forwrd, m, n, <npy_complex64*>x, ldx, k)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_clapmt "BLAS_FUNC(clapmt)"(bint *forwrd, int *m, int *n, npy_complex64 *x, int *ldx, int *k) nogil
cdef void clapmt(bint *forwrd, int *m, int *n, c *x, int *ldx, int *k) noexcept nogil:
    
    _fortran_clapmt(forwrd, m, n, <npy_complex64*>x, ldx, k)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_claqgb "BLAS_FUNC(claqgb)"(int *m, int *n, int *kl, int *ku, npy_complex64 *ab, int *ldab, s *r, s *c, s *rowcnd, s *colcnd, s *amax, char *equed) nogil
cdef void claqgb(int *m, int *n, int *kl, int *ku, c *ab, int *ldab, s *r, s *c, s *rowcnd, s *colcnd, s *amax, char *equed) noexcept nogil:
    
    _fortran_claqgb(m, n, kl, ku, <npy_complex64*>ab, ldab, r, c, rowcnd, colcnd, amax, equed)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_claqge "BLAS_FUNC(claqge)"(int *m, int *n, npy_complex64 *a, int *lda, s *r, s *c, s *rowcnd, s *colcnd, s *amax, char *equed) nogil
cdef void claqge(int *m, int *n, c *a, int *lda, s *r, s *c, s *rowcnd, s *colcnd, s *amax, char *equed) noexcept nogil:
    
    _fortran_claqge(m, n, <npy_complex64*>a, lda, r, c, rowcnd, colcnd, amax, equed)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_claqhb "BLAS_FUNC(claqhb)"(char *uplo, int *n, int *kd, npy_complex64 *ab, int *ldab, s *s, s *scond, s *amax, char *equed) nogil
cdef void claqhb(char *uplo, int *n, int *kd, c *ab, int *ldab, s *s, s *scond, s *amax, char *equed) noexcept nogil:
    
    _fortran_claqhb(uplo, n, kd, <npy_complex64*>ab, ldab, s, scond, amax, equed)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_claqhe "BLAS_FUNC(claqhe)"(char *uplo, int *n, npy_complex64 *a, int *lda, s *s, s *scond, s *amax, char *equed) nogil
cdef void claqhe(char *uplo, int *n, c *a, int *lda, s *s, s *scond, s *amax, char *equed) noexcept nogil:
    
    _fortran_claqhe(uplo, n, <npy_complex64*>a, lda, s, scond, amax, equed)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_claqhp "BLAS_FUNC(claqhp)"(char *uplo, int *n, npy_complex64 *ap, s *s, s *scond, s *amax, char *equed) nogil
cdef void claqhp(char *uplo, int *n, c *ap, s *s, s *scond, s *amax, char *equed) noexcept nogil:
    
    _fortran_claqhp(uplo, n, <npy_complex64*>ap, s, scond, amax, equed)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_claqp2 "BLAS_FUNC(claqp2)"(int *m, int *n, int *offset, npy_complex64 *a, int *lda, int *jpvt, npy_complex64 *tau, s *vn1, s *vn2, npy_complex64 *work) nogil
cdef void claqp2(int *m, int *n, int *offset, c *a, int *lda, int *jpvt, c *tau, s *vn1, s *vn2, c *work) noexcept nogil:
    
    _fortran_claqp2(m, n, offset, <npy_complex64*>a, lda, jpvt, <npy_complex64*>tau, vn1, vn2, <npy_complex64*>work)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_claqps "BLAS_FUNC(claqps)"(int *m, int *n, int *offset, int *nb, int *kb, npy_complex64 *a, int *lda, int *jpvt, npy_complex64 *tau, s *vn1, s *vn2, npy_complex64 *auxv, npy_complex64 *f, int *ldf) nogil
cdef void claqps(int *m, int *n, int *offset, int *nb, int *kb, c *a, int *lda, int *jpvt, c *tau, s *vn1, s *vn2, c *auxv, c *f, int *ldf) noexcept nogil:
    
    _fortran_claqps(m, n, offset, nb, kb, <npy_complex64*>a, lda, jpvt, <npy_complex64*>tau, vn1, vn2, <npy_complex64*>auxv, <npy_complex64*>f, ldf)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_claqr0 "BLAS_FUNC(claqr0)"(bint *wantt, bint *wantz, int *n, int *ilo, int *ihi, npy_complex64 *h, int *ldh, npy_complex64 *w, int *iloz, int *ihiz, npy_complex64 *z, int *ldz, npy_complex64 *work, int *lwork, int *info) nogil
cdef void claqr0(bint *wantt, bint *wantz, int *n, int *ilo, int *ihi, c *h, int *ldh, c *w, int *iloz, int *ihiz, c *z, int *ldz, c *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_claqr0(wantt, wantz, n, ilo, ihi, <npy_complex64*>h, ldh, <npy_complex64*>w, iloz, ihiz, <npy_complex64*>z, ldz, <npy_complex64*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_claqr1 "BLAS_FUNC(claqr1)"(int *n, npy_complex64 *h, int *ldh, npy_complex64 *s1, npy_complex64 *s2, npy_complex64 *v) nogil
cdef void claqr1(int *n, c *h, int *ldh, c *s1, c *s2, c *v) noexcept nogil:
    
    _fortran_claqr1(n, <npy_complex64*>h, ldh, <npy_complex64*>s1, <npy_complex64*>s2, <npy_complex64*>v)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_claqr2 "BLAS_FUNC(claqr2)"(bint *wantt, bint *wantz, int *n, int *ktop, int *kbot, int *nw, npy_complex64 *h, int *ldh, int *iloz, int *ihiz, npy_complex64 *z, int *ldz, int *ns, int *nd, npy_complex64 *sh, npy_complex64 *v, int *ldv, int *nh, npy_complex64 *t, int *ldt, int *nv, npy_complex64 *wv, int *ldwv, npy_complex64 *work, int *lwork) nogil
cdef void claqr2(bint *wantt, bint *wantz, int *n, int *ktop, int *kbot, int *nw, c *h, int *ldh, int *iloz, int *ihiz, c *z, int *ldz, int *ns, int *nd, c *sh, c *v, int *ldv, int *nh, c *t, int *ldt, int *nv, c *wv, int *ldwv, c *work, int *lwork) noexcept nogil:
    
    _fortran_claqr2(wantt, wantz, n, ktop, kbot, nw, <npy_complex64*>h, ldh, iloz, ihiz, <npy_complex64*>z, ldz, ns, nd, <npy_complex64*>sh, <npy_complex64*>v, ldv, nh, <npy_complex64*>t, ldt, nv, <npy_complex64*>wv, ldwv, <npy_complex64*>work, lwork)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_claqr3 "BLAS_FUNC(claqr3)"(bint *wantt, bint *wantz, int *n, int *ktop, int *kbot, int *nw, npy_complex64 *h, int *ldh, int *iloz, int *ihiz, npy_complex64 *z, int *ldz, int *ns, int *nd, npy_complex64 *sh, npy_complex64 *v, int *ldv, int *nh, npy_complex64 *t, int *ldt, int *nv, npy_complex64 *wv, int *ldwv, npy_complex64 *work, int *lwork) nogil
cdef void claqr3(bint *wantt, bint *wantz, int *n, int *ktop, int *kbot, int *nw, c *h, int *ldh, int *iloz, int *ihiz, c *z, int *ldz, int *ns, int *nd, c *sh, c *v, int *ldv, int *nh, c *t, int *ldt, int *nv, c *wv, int *ldwv, c *work, int *lwork) noexcept nogil:
    
    _fortran_claqr3(wantt, wantz, n, ktop, kbot, nw, <npy_complex64*>h, ldh, iloz, ihiz, <npy_complex64*>z, ldz, ns, nd, <npy_complex64*>sh, <npy_complex64*>v, ldv, nh, <npy_complex64*>t, ldt, nv, <npy_complex64*>wv, ldwv, <npy_complex64*>work, lwork)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_claqr4 "BLAS_FUNC(claqr4)"(bint *wantt, bint *wantz, int *n, int *ilo, int *ihi, npy_complex64 *h, int *ldh, npy_complex64 *w, int *iloz, int *ihiz, npy_complex64 *z, int *ldz, npy_complex64 *work, int *lwork, int *info) nogil
cdef void claqr4(bint *wantt, bint *wantz, int *n, int *ilo, int *ihi, c *h, int *ldh, c *w, int *iloz, int *ihiz, c *z, int *ldz, c *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_claqr4(wantt, wantz, n, ilo, ihi, <npy_complex64*>h, ldh, <npy_complex64*>w, iloz, ihiz, <npy_complex64*>z, ldz, <npy_complex64*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_claqr5 "BLAS_FUNC(claqr5)"(bint *wantt, bint *wantz, int *kacc22, int *n, int *ktop, int *kbot, int *nshfts, npy_complex64 *s, npy_complex64 *h, int *ldh, int *iloz, int *ihiz, npy_complex64 *z, int *ldz, npy_complex64 *v, int *ldv, npy_complex64 *u, int *ldu, int *nv, npy_complex64 *wv, int *ldwv, int *nh, npy_complex64 *wh, int *ldwh) nogil
cdef void claqr5(bint *wantt, bint *wantz, int *kacc22, int *n, int *ktop, int *kbot, int *nshfts, c *s, c *h, int *ldh, int *iloz, int *ihiz, c *z, int *ldz, c *v, int *ldv, c *u, int *ldu, int *nv, c *wv, int *ldwv, int *nh, c *wh, int *ldwh) noexcept nogil:
    
    _fortran_claqr5(wantt, wantz, kacc22, n, ktop, kbot, nshfts, <npy_complex64*>s, <npy_complex64*>h, ldh, iloz, ihiz, <npy_complex64*>z, ldz, <npy_complex64*>v, ldv, <npy_complex64*>u, ldu, nv, <npy_complex64*>wv, ldwv, nh, <npy_complex64*>wh, ldwh)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_claqsb "BLAS_FUNC(claqsb)"(char *uplo, int *n, int *kd, npy_complex64 *ab, int *ldab, s *s, s *scond, s *amax, char *equed) nogil
cdef void claqsb(char *uplo, int *n, int *kd, c *ab, int *ldab, s *s, s *scond, s *amax, char *equed) noexcept nogil:
    
    _fortran_claqsb(uplo, n, kd, <npy_complex64*>ab, ldab, s, scond, amax, equed)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_claqsp "BLAS_FUNC(claqsp)"(char *uplo, int *n, npy_complex64 *ap, s *s, s *scond, s *amax, char *equed) nogil
cdef void claqsp(char *uplo, int *n, c *ap, s *s, s *scond, s *amax, char *equed) noexcept nogil:
    
    _fortran_claqsp(uplo, n, <npy_complex64*>ap, s, scond, amax, equed)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_claqsy "BLAS_FUNC(claqsy)"(char *uplo, int *n, npy_complex64 *a, int *lda, s *s, s *scond, s *amax, char *equed) nogil
cdef void claqsy(char *uplo, int *n, c *a, int *lda, s *s, s *scond, s *amax, char *equed) noexcept nogil:
    
    _fortran_claqsy(uplo, n, <npy_complex64*>a, lda, s, scond, amax, equed)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_clar1v "BLAS_FUNC(clar1v)"(int *n, int *b1, int *bn, s *lambda_, s *d, s *l, s *ld, s *lld, s *pivmin, s *gaptol, npy_complex64 *z, bint *wantnc, int *negcnt, s *ztz, s *mingma, int *r, int *isuppz, s *nrminv, s *resid, s *rqcorr, s *work) nogil
cdef void clar1v(int *n, int *b1, int *bn, s *lambda_, s *d, s *l, s *ld, s *lld, s *pivmin, s *gaptol, c *z, bint *wantnc, int *negcnt, s *ztz, s *mingma, int *r, int *isuppz, s *nrminv, s *resid, s *rqcorr, s *work) noexcept nogil:
    
    _fortran_clar1v(n, b1, bn, lambda_, d, l, ld, lld, pivmin, gaptol, <npy_complex64*>z, wantnc, negcnt, ztz, mingma, r, isuppz, nrminv, resid, rqcorr, work)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_clar2v "BLAS_FUNC(clar2v)"(int *n, npy_complex64 *x, npy_complex64 *y, npy_complex64 *z, int *incx, s *c, npy_complex64 *s, int *incc) nogil
cdef void clar2v(int *n, c *x, c *y, c *z, int *incx, s *c, c *s, int *incc) noexcept nogil:
    
    _fortran_clar2v(n, <npy_complex64*>x, <npy_complex64*>y, <npy_complex64*>z, incx, c, <npy_complex64*>s, incc)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_clarcm "BLAS_FUNC(clarcm)"(int *m, int *n, s *a, int *lda, npy_complex64 *b, int *ldb, npy_complex64 *c, int *ldc, s *rwork) nogil
cdef void clarcm(int *m, int *n, s *a, int *lda, c *b, int *ldb, c *c, int *ldc, s *rwork) noexcept nogil:
    
    _fortran_clarcm(m, n, a, lda, <npy_complex64*>b, ldb, <npy_complex64*>c, ldc, rwork)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_clarf "BLAS_FUNC(clarf)"(char *side, int *m, int *n, npy_complex64 *v, int *incv, npy_complex64 *tau, npy_complex64 *c, int *ldc, npy_complex64 *work) nogil
cdef void clarf(char *side, int *m, int *n, c *v, int *incv, c *tau, c *c, int *ldc, c *work) noexcept nogil:
    
    _fortran_clarf(side, m, n, <npy_complex64*>v, incv, <npy_complex64*>tau, <npy_complex64*>c, ldc, <npy_complex64*>work)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_clarfb "BLAS_FUNC(clarfb)"(char *side, char *trans, char *direct, char *storev, int *m, int *n, int *k, npy_complex64 *v, int *ldv, npy_complex64 *t, int *ldt, npy_complex64 *c, int *ldc, npy_complex64 *work, int *ldwork) nogil
cdef void clarfb(char *side, char *trans, char *direct, char *storev, int *m, int *n, int *k, c *v, int *ldv, c *t, int *ldt, c *c, int *ldc, c *work, int *ldwork) noexcept nogil:
    
    _fortran_clarfb(side, trans, direct, storev, m, n, k, <npy_complex64*>v, ldv, <npy_complex64*>t, ldt, <npy_complex64*>c, ldc, <npy_complex64*>work, ldwork)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_clarfg "BLAS_FUNC(clarfg)"(int *n, npy_complex64 *alpha, npy_complex64 *x, int *incx, npy_complex64 *tau) nogil
cdef void clarfg(int *n, c *alpha, c *x, int *incx, c *tau) noexcept nogil:
    
    _fortran_clarfg(n, <npy_complex64*>alpha, <npy_complex64*>x, incx, <npy_complex64*>tau)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_clarfgp "BLAS_FUNC(clarfgp)"(int *n, npy_complex64 *alpha, npy_complex64 *x, int *incx, npy_complex64 *tau) nogil
cdef void clarfgp(int *n, c *alpha, c *x, int *incx, c *tau) noexcept nogil:
    
    _fortran_clarfgp(n, <npy_complex64*>alpha, <npy_complex64*>x, incx, <npy_complex64*>tau)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_clarft "BLAS_FUNC(clarft)"(char *direct, char *storev, int *n, int *k, npy_complex64 *v, int *ldv, npy_complex64 *tau, npy_complex64 *t, int *ldt) nogil
cdef void clarft(char *direct, char *storev, int *n, int *k, c *v, int *ldv, c *tau, c *t, int *ldt) noexcept nogil:
    
    _fortran_clarft(direct, storev, n, k, <npy_complex64*>v, ldv, <npy_complex64*>tau, <npy_complex64*>t, ldt)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_clarfx "BLAS_FUNC(clarfx)"(char *side, int *m, int *n, npy_complex64 *v, npy_complex64 *tau, npy_complex64 *c, int *ldc, npy_complex64 *work) nogil
cdef void clarfx(char *side, int *m, int *n, c *v, c *tau, c *c, int *ldc, c *work) noexcept nogil:
    
    _fortran_clarfx(side, m, n, <npy_complex64*>v, <npy_complex64*>tau, <npy_complex64*>c, ldc, <npy_complex64*>work)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_clargv "BLAS_FUNC(clargv)"(int *n, npy_complex64 *x, int *incx, npy_complex64 *y, int *incy, s *c, int *incc) nogil
cdef void clargv(int *n, c *x, int *incx, c *y, int *incy, s *c, int *incc) noexcept nogil:
    
    _fortran_clargv(n, <npy_complex64*>x, incx, <npy_complex64*>y, incy, c, incc)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_clarnv "BLAS_FUNC(clarnv)"(int *idist, int *iseed, int *n, npy_complex64 *x) nogil
cdef void clarnv(int *idist, int *iseed, int *n, c *x) noexcept nogil:
    
    _fortran_clarnv(idist, iseed, n, <npy_complex64*>x)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_clarrv "BLAS_FUNC(clarrv)"(int *n, s *vl, s *vu, s *d, s *l, s *pivmin, int *isplit, int *m, int *dol, int *dou, s *minrgp, s *rtol1, s *rtol2, s *w, s *werr, s *wgap, int *iblock, int *indexw, s *gers, npy_complex64 *z, int *ldz, int *isuppz, s *work, int *iwork, int *info) nogil
cdef void clarrv(int *n, s *vl, s *vu, s *d, s *l, s *pivmin, int *isplit, int *m, int *dol, int *dou, s *minrgp, s *rtol1, s *rtol2, s *w, s *werr, s *wgap, int *iblock, int *indexw, s *gers, c *z, int *ldz, int *isuppz, s *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_clarrv(n, vl, vu, d, l, pivmin, isplit, m, dol, dou, minrgp, rtol1, rtol2, w, werr, wgap, iblock, indexw, gers, <npy_complex64*>z, ldz, isuppz, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_clartg "BLAS_FUNC(clartg)"(npy_complex64 *f, npy_complex64 *g, s *cs, npy_complex64 *sn, npy_complex64 *r) nogil
cdef void clartg(c *f, c *g, s *cs, c *sn, c *r) noexcept nogil:
    
    _fortran_clartg(<npy_complex64*>f, <npy_complex64*>g, cs, <npy_complex64*>sn, <npy_complex64*>r)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_clartv "BLAS_FUNC(clartv)"(int *n, npy_complex64 *x, int *incx, npy_complex64 *y, int *incy, s *c, npy_complex64 *s, int *incc) nogil
cdef void clartv(int *n, c *x, int *incx, c *y, int *incy, s *c, c *s, int *incc) noexcept nogil:
    
    _fortran_clartv(n, <npy_complex64*>x, incx, <npy_complex64*>y, incy, c, <npy_complex64*>s, incc)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_clarz "BLAS_FUNC(clarz)"(char *side, int *m, int *n, int *l, npy_complex64 *v, int *incv, npy_complex64 *tau, npy_complex64 *c, int *ldc, npy_complex64 *work) nogil
cdef void clarz(char *side, int *m, int *n, int *l, c *v, int *incv, c *tau, c *c, int *ldc, c *work) noexcept nogil:
    
    _fortran_clarz(side, m, n, l, <npy_complex64*>v, incv, <npy_complex64*>tau, <npy_complex64*>c, ldc, <npy_complex64*>work)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_clarzb "BLAS_FUNC(clarzb)"(char *side, char *trans, char *direct, char *storev, int *m, int *n, int *k, int *l, npy_complex64 *v, int *ldv, npy_complex64 *t, int *ldt, npy_complex64 *c, int *ldc, npy_complex64 *work, int *ldwork) nogil
cdef void clarzb(char *side, char *trans, char *direct, char *storev, int *m, int *n, int *k, int *l, c *v, int *ldv, c *t, int *ldt, c *c, int *ldc, c *work, int *ldwork) noexcept nogil:
    
    _fortran_clarzb(side, trans, direct, storev, m, n, k, l, <npy_complex64*>v, ldv, <npy_complex64*>t, ldt, <npy_complex64*>c, ldc, <npy_complex64*>work, ldwork)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_clarzt "BLAS_FUNC(clarzt)"(char *direct, char *storev, int *n, int *k, npy_complex64 *v, int *ldv, npy_complex64 *tau, npy_complex64 *t, int *ldt) nogil
cdef void clarzt(char *direct, char *storev, int *n, int *k, c *v, int *ldv, c *tau, c *t, int *ldt) noexcept nogil:
    
    _fortran_clarzt(direct, storev, n, k, <npy_complex64*>v, ldv, <npy_complex64*>tau, <npy_complex64*>t, ldt)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_clascl "BLAS_FUNC(clascl)"(char *type_bn, int *kl, int *ku, s *cfrom, s *cto, int *m, int *n, npy_complex64 *a, int *lda, int *info) nogil
cdef void clascl(char *type_bn, int *kl, int *ku, s *cfrom, s *cto, int *m, int *n, c *a, int *lda, int *info) noexcept nogil:
    
    _fortran_clascl(type_bn, kl, ku, cfrom, cto, m, n, <npy_complex64*>a, lda, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_claset "BLAS_FUNC(claset)"(char *uplo, int *m, int *n, npy_complex64 *alpha, npy_complex64 *beta, npy_complex64 *a, int *lda) nogil
cdef void claset(char *uplo, int *m, int *n, c *alpha, c *beta, c *a, int *lda) noexcept nogil:
    
    _fortran_claset(uplo, m, n, <npy_complex64*>alpha, <npy_complex64*>beta, <npy_complex64*>a, lda)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_clasr "BLAS_FUNC(clasr)"(char *side, char *pivot, char *direct, int *m, int *n, s *c, s *s, npy_complex64 *a, int *lda) nogil
cdef void clasr(char *side, char *pivot, char *direct, int *m, int *n, s *c, s *s, c *a, int *lda) noexcept nogil:
    
    _fortran_clasr(side, pivot, direct, m, n, c, s, <npy_complex64*>a, lda)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_classq "BLAS_FUNC(classq)"(int *n, npy_complex64 *x, int *incx, s *scale, s *sumsq) nogil
cdef void classq(int *n, c *x, int *incx, s *scale, s *sumsq) noexcept nogil:
    
    _fortran_classq(n, <npy_complex64*>x, incx, scale, sumsq)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_claswp "BLAS_FUNC(claswp)"(int *n, npy_complex64 *a, int *lda, int *k1, int *k2, int *ipiv, int *incx) nogil
cdef void claswp(int *n, c *a, int *lda, int *k1, int *k2, int *ipiv, int *incx) noexcept nogil:
    
    _fortran_claswp(n, <npy_complex64*>a, lda, k1, k2, ipiv, incx)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_clasyf "BLAS_FUNC(clasyf)"(char *uplo, int *n, int *nb, int *kb, npy_complex64 *a, int *lda, int *ipiv, npy_complex64 *w, int *ldw, int *info) nogil
cdef void clasyf(char *uplo, int *n, int *nb, int *kb, c *a, int *lda, int *ipiv, c *w, int *ldw, int *info) noexcept nogil:
    
    _fortran_clasyf(uplo, n, nb, kb, <npy_complex64*>a, lda, ipiv, <npy_complex64*>w, ldw, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_clatbs "BLAS_FUNC(clatbs)"(char *uplo, char *trans, char *diag, char *normin, int *n, int *kd, npy_complex64 *ab, int *ldab, npy_complex64 *x, s *scale, s *cnorm, int *info) nogil
cdef void clatbs(char *uplo, char *trans, char *diag, char *normin, int *n, int *kd, c *ab, int *ldab, c *x, s *scale, s *cnorm, int *info) noexcept nogil:
    
    _fortran_clatbs(uplo, trans, diag, normin, n, kd, <npy_complex64*>ab, ldab, <npy_complex64*>x, scale, cnorm, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_clatdf "BLAS_FUNC(clatdf)"(int *ijob, int *n, npy_complex64 *z, int *ldz, npy_complex64 *rhs, s *rdsum, s *rdscal, int *ipiv, int *jpiv) nogil
cdef void clatdf(int *ijob, int *n, c *z, int *ldz, c *rhs, s *rdsum, s *rdscal, int *ipiv, int *jpiv) noexcept nogil:
    
    _fortran_clatdf(ijob, n, <npy_complex64*>z, ldz, <npy_complex64*>rhs, rdsum, rdscal, ipiv, jpiv)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_clatps "BLAS_FUNC(clatps)"(char *uplo, char *trans, char *diag, char *normin, int *n, npy_complex64 *ap, npy_complex64 *x, s *scale, s *cnorm, int *info) nogil
cdef void clatps(char *uplo, char *trans, char *diag, char *normin, int *n, c *ap, c *x, s *scale, s *cnorm, int *info) noexcept nogil:
    
    _fortran_clatps(uplo, trans, diag, normin, n, <npy_complex64*>ap, <npy_complex64*>x, scale, cnorm, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_clatrd "BLAS_FUNC(clatrd)"(char *uplo, int *n, int *nb, npy_complex64 *a, int *lda, s *e, npy_complex64 *tau, npy_complex64 *w, int *ldw) nogil
cdef void clatrd(char *uplo, int *n, int *nb, c *a, int *lda, s *e, c *tau, c *w, int *ldw) noexcept nogil:
    
    _fortran_clatrd(uplo, n, nb, <npy_complex64*>a, lda, e, <npy_complex64*>tau, <npy_complex64*>w, ldw)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_clatrs "BLAS_FUNC(clatrs)"(char *uplo, char *trans, char *diag, char *normin, int *n, npy_complex64 *a, int *lda, npy_complex64 *x, s *scale, s *cnorm, int *info) nogil
cdef void clatrs(char *uplo, char *trans, char *diag, char *normin, int *n, c *a, int *lda, c *x, s *scale, s *cnorm, int *info) noexcept nogil:
    
    _fortran_clatrs(uplo, trans, diag, normin, n, <npy_complex64*>a, lda, <npy_complex64*>x, scale, cnorm, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_clatrz "BLAS_FUNC(clatrz)"(int *m, int *n, int *l, npy_complex64 *a, int *lda, npy_complex64 *tau, npy_complex64 *work) nogil
cdef void clatrz(int *m, int *n, int *l, c *a, int *lda, c *tau, c *work) noexcept nogil:
    
    _fortran_clatrz(m, n, l, <npy_complex64*>a, lda, <npy_complex64*>tau, <npy_complex64*>work)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_clauu2 "BLAS_FUNC(clauu2)"(char *uplo, int *n, npy_complex64 *a, int *lda, int *info) nogil
cdef void clauu2(char *uplo, int *n, c *a, int *lda, int *info) noexcept nogil:
    
    _fortran_clauu2(uplo, n, <npy_complex64*>a, lda, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_clauum "BLAS_FUNC(clauum)"(char *uplo, int *n, npy_complex64 *a, int *lda, int *info) nogil
cdef void clauum(char *uplo, int *n, c *a, int *lda, int *info) noexcept nogil:
    
    _fortran_clauum(uplo, n, <npy_complex64*>a, lda, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cpbcon "BLAS_FUNC(cpbcon)"(char *uplo, int *n, int *kd, npy_complex64 *ab, int *ldab, s *anorm, s *rcond, npy_complex64 *work, s *rwork, int *info) nogil
cdef void cpbcon(char *uplo, int *n, int *kd, c *ab, int *ldab, s *anorm, s *rcond, c *work, s *rwork, int *info) noexcept nogil:
    
    _fortran_cpbcon(uplo, n, kd, <npy_complex64*>ab, ldab, anorm, rcond, <npy_complex64*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cpbequ "BLAS_FUNC(cpbequ)"(char *uplo, int *n, int *kd, npy_complex64 *ab, int *ldab, s *s, s *scond, s *amax, int *info) nogil
cdef void cpbequ(char *uplo, int *n, int *kd, c *ab, int *ldab, s *s, s *scond, s *amax, int *info) noexcept nogil:
    
    _fortran_cpbequ(uplo, n, kd, <npy_complex64*>ab, ldab, s, scond, amax, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cpbrfs "BLAS_FUNC(cpbrfs)"(char *uplo, int *n, int *kd, int *nrhs, npy_complex64 *ab, int *ldab, npy_complex64 *afb, int *ldafb, npy_complex64 *b, int *ldb, npy_complex64 *x, int *ldx, s *ferr, s *berr, npy_complex64 *work, s *rwork, int *info) nogil
cdef void cpbrfs(char *uplo, int *n, int *kd, int *nrhs, c *ab, int *ldab, c *afb, int *ldafb, c *b, int *ldb, c *x, int *ldx, s *ferr, s *berr, c *work, s *rwork, int *info) noexcept nogil:
    
    _fortran_cpbrfs(uplo, n, kd, nrhs, <npy_complex64*>ab, ldab, <npy_complex64*>afb, ldafb, <npy_complex64*>b, ldb, <npy_complex64*>x, ldx, ferr, berr, <npy_complex64*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cpbstf "BLAS_FUNC(cpbstf)"(char *uplo, int *n, int *kd, npy_complex64 *ab, int *ldab, int *info) nogil
cdef void cpbstf(char *uplo, int *n, int *kd, c *ab, int *ldab, int *info) noexcept nogil:
    
    _fortran_cpbstf(uplo, n, kd, <npy_complex64*>ab, ldab, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cpbsv "BLAS_FUNC(cpbsv)"(char *uplo, int *n, int *kd, int *nrhs, npy_complex64 *ab, int *ldab, npy_complex64 *b, int *ldb, int *info) nogil
cdef void cpbsv(char *uplo, int *n, int *kd, int *nrhs, c *ab, int *ldab, c *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_cpbsv(uplo, n, kd, nrhs, <npy_complex64*>ab, ldab, <npy_complex64*>b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cpbsvx "BLAS_FUNC(cpbsvx)"(char *fact, char *uplo, int *n, int *kd, int *nrhs, npy_complex64 *ab, int *ldab, npy_complex64 *afb, int *ldafb, char *equed, s *s, npy_complex64 *b, int *ldb, npy_complex64 *x, int *ldx, s *rcond, s *ferr, s *berr, npy_complex64 *work, s *rwork, int *info) nogil
cdef void cpbsvx(char *fact, char *uplo, int *n, int *kd, int *nrhs, c *ab, int *ldab, c *afb, int *ldafb, char *equed, s *s, c *b, int *ldb, c *x, int *ldx, s *rcond, s *ferr, s *berr, c *work, s *rwork, int *info) noexcept nogil:
    
    _fortran_cpbsvx(fact, uplo, n, kd, nrhs, <npy_complex64*>ab, ldab, <npy_complex64*>afb, ldafb, equed, s, <npy_complex64*>b, ldb, <npy_complex64*>x, ldx, rcond, ferr, berr, <npy_complex64*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cpbtf2 "BLAS_FUNC(cpbtf2)"(char *uplo, int *n, int *kd, npy_complex64 *ab, int *ldab, int *info) nogil
cdef void cpbtf2(char *uplo, int *n, int *kd, c *ab, int *ldab, int *info) noexcept nogil:
    
    _fortran_cpbtf2(uplo, n, kd, <npy_complex64*>ab, ldab, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cpbtrf "BLAS_FUNC(cpbtrf)"(char *uplo, int *n, int *kd, npy_complex64 *ab, int *ldab, int *info) nogil
cdef void cpbtrf(char *uplo, int *n, int *kd, c *ab, int *ldab, int *info) noexcept nogil:
    
    _fortran_cpbtrf(uplo, n, kd, <npy_complex64*>ab, ldab, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cpbtrs "BLAS_FUNC(cpbtrs)"(char *uplo, int *n, int *kd, int *nrhs, npy_complex64 *ab, int *ldab, npy_complex64 *b, int *ldb, int *info) nogil
cdef void cpbtrs(char *uplo, int *n, int *kd, int *nrhs, c *ab, int *ldab, c *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_cpbtrs(uplo, n, kd, nrhs, <npy_complex64*>ab, ldab, <npy_complex64*>b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cpftrf "BLAS_FUNC(cpftrf)"(char *transr, char *uplo, int *n, npy_complex64 *a, int *info) nogil
cdef void cpftrf(char *transr, char *uplo, int *n, c *a, int *info) noexcept nogil:
    
    _fortran_cpftrf(transr, uplo, n, <npy_complex64*>a, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cpftri "BLAS_FUNC(cpftri)"(char *transr, char *uplo, int *n, npy_complex64 *a, int *info) nogil
cdef void cpftri(char *transr, char *uplo, int *n, c *a, int *info) noexcept nogil:
    
    _fortran_cpftri(transr, uplo, n, <npy_complex64*>a, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cpftrs "BLAS_FUNC(cpftrs)"(char *transr, char *uplo, int *n, int *nrhs, npy_complex64 *a, npy_complex64 *b, int *ldb, int *info) nogil
cdef void cpftrs(char *transr, char *uplo, int *n, int *nrhs, c *a, c *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_cpftrs(transr, uplo, n, nrhs, <npy_complex64*>a, <npy_complex64*>b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cpocon "BLAS_FUNC(cpocon)"(char *uplo, int *n, npy_complex64 *a, int *lda, s *anorm, s *rcond, npy_complex64 *work, s *rwork, int *info) nogil
cdef void cpocon(char *uplo, int *n, c *a, int *lda, s *anorm, s *rcond, c *work, s *rwork, int *info) noexcept nogil:
    
    _fortran_cpocon(uplo, n, <npy_complex64*>a, lda, anorm, rcond, <npy_complex64*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cpoequ "BLAS_FUNC(cpoequ)"(int *n, npy_complex64 *a, int *lda, s *s, s *scond, s *amax, int *info) nogil
cdef void cpoequ(int *n, c *a, int *lda, s *s, s *scond, s *amax, int *info) noexcept nogil:
    
    _fortran_cpoequ(n, <npy_complex64*>a, lda, s, scond, amax, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cpoequb "BLAS_FUNC(cpoequb)"(int *n, npy_complex64 *a, int *lda, s *s, s *scond, s *amax, int *info) nogil
cdef void cpoequb(int *n, c *a, int *lda, s *s, s *scond, s *amax, int *info) noexcept nogil:
    
    _fortran_cpoequb(n, <npy_complex64*>a, lda, s, scond, amax, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cporfs "BLAS_FUNC(cporfs)"(char *uplo, int *n, int *nrhs, npy_complex64 *a, int *lda, npy_complex64 *af, int *ldaf, npy_complex64 *b, int *ldb, npy_complex64 *x, int *ldx, s *ferr, s *berr, npy_complex64 *work, s *rwork, int *info) nogil
cdef void cporfs(char *uplo, int *n, int *nrhs, c *a, int *lda, c *af, int *ldaf, c *b, int *ldb, c *x, int *ldx, s *ferr, s *berr, c *work, s *rwork, int *info) noexcept nogil:
    
    _fortran_cporfs(uplo, n, nrhs, <npy_complex64*>a, lda, <npy_complex64*>af, ldaf, <npy_complex64*>b, ldb, <npy_complex64*>x, ldx, ferr, berr, <npy_complex64*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cposv "BLAS_FUNC(cposv)"(char *uplo, int *n, int *nrhs, npy_complex64 *a, int *lda, npy_complex64 *b, int *ldb, int *info) nogil
cdef void cposv(char *uplo, int *n, int *nrhs, c *a, int *lda, c *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_cposv(uplo, n, nrhs, <npy_complex64*>a, lda, <npy_complex64*>b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cposvx "BLAS_FUNC(cposvx)"(char *fact, char *uplo, int *n, int *nrhs, npy_complex64 *a, int *lda, npy_complex64 *af, int *ldaf, char *equed, s *s, npy_complex64 *b, int *ldb, npy_complex64 *x, int *ldx, s *rcond, s *ferr, s *berr, npy_complex64 *work, s *rwork, int *info) nogil
cdef void cposvx(char *fact, char *uplo, int *n, int *nrhs, c *a, int *lda, c *af, int *ldaf, char *equed, s *s, c *b, int *ldb, c *x, int *ldx, s *rcond, s *ferr, s *berr, c *work, s *rwork, int *info) noexcept nogil:
    
    _fortran_cposvx(fact, uplo, n, nrhs, <npy_complex64*>a, lda, <npy_complex64*>af, ldaf, equed, s, <npy_complex64*>b, ldb, <npy_complex64*>x, ldx, rcond, ferr, berr, <npy_complex64*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cpotf2 "BLAS_FUNC(cpotf2)"(char *uplo, int *n, npy_complex64 *a, int *lda, int *info) nogil
cdef void cpotf2(char *uplo, int *n, c *a, int *lda, int *info) noexcept nogil:
    
    _fortran_cpotf2(uplo, n, <npy_complex64*>a, lda, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cpotrf "BLAS_FUNC(cpotrf)"(char *uplo, int *n, npy_complex64 *a, int *lda, int *info) nogil
cdef void cpotrf(char *uplo, int *n, c *a, int *lda, int *info) noexcept nogil:
    
    _fortran_cpotrf(uplo, n, <npy_complex64*>a, lda, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cpotri "BLAS_FUNC(cpotri)"(char *uplo, int *n, npy_complex64 *a, int *lda, int *info) nogil
cdef void cpotri(char *uplo, int *n, c *a, int *lda, int *info) noexcept nogil:
    
    _fortran_cpotri(uplo, n, <npy_complex64*>a, lda, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cpotrs "BLAS_FUNC(cpotrs)"(char *uplo, int *n, int *nrhs, npy_complex64 *a, int *lda, npy_complex64 *b, int *ldb, int *info) nogil
cdef void cpotrs(char *uplo, int *n, int *nrhs, c *a, int *lda, c *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_cpotrs(uplo, n, nrhs, <npy_complex64*>a, lda, <npy_complex64*>b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cppcon "BLAS_FUNC(cppcon)"(char *uplo, int *n, npy_complex64 *ap, s *anorm, s *rcond, npy_complex64 *work, s *rwork, int *info) nogil
cdef void cppcon(char *uplo, int *n, c *ap, s *anorm, s *rcond, c *work, s *rwork, int *info) noexcept nogil:
    
    _fortran_cppcon(uplo, n, <npy_complex64*>ap, anorm, rcond, <npy_complex64*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cppequ "BLAS_FUNC(cppequ)"(char *uplo, int *n, npy_complex64 *ap, s *s, s *scond, s *amax, int *info) nogil
cdef void cppequ(char *uplo, int *n, c *ap, s *s, s *scond, s *amax, int *info) noexcept nogil:
    
    _fortran_cppequ(uplo, n, <npy_complex64*>ap, s, scond, amax, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cpprfs "BLAS_FUNC(cpprfs)"(char *uplo, int *n, int *nrhs, npy_complex64 *ap, npy_complex64 *afp, npy_complex64 *b, int *ldb, npy_complex64 *x, int *ldx, s *ferr, s *berr, npy_complex64 *work, s *rwork, int *info) nogil
cdef void cpprfs(char *uplo, int *n, int *nrhs, c *ap, c *afp, c *b, int *ldb, c *x, int *ldx, s *ferr, s *berr, c *work, s *rwork, int *info) noexcept nogil:
    
    _fortran_cpprfs(uplo, n, nrhs, <npy_complex64*>ap, <npy_complex64*>afp, <npy_complex64*>b, ldb, <npy_complex64*>x, ldx, ferr, berr, <npy_complex64*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cppsv "BLAS_FUNC(cppsv)"(char *uplo, int *n, int *nrhs, npy_complex64 *ap, npy_complex64 *b, int *ldb, int *info) nogil
cdef void cppsv(char *uplo, int *n, int *nrhs, c *ap, c *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_cppsv(uplo, n, nrhs, <npy_complex64*>ap, <npy_complex64*>b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cppsvx "BLAS_FUNC(cppsvx)"(char *fact, char *uplo, int *n, int *nrhs, npy_complex64 *ap, npy_complex64 *afp, char *equed, s *s, npy_complex64 *b, int *ldb, npy_complex64 *x, int *ldx, s *rcond, s *ferr, s *berr, npy_complex64 *work, s *rwork, int *info) nogil
cdef void cppsvx(char *fact, char *uplo, int *n, int *nrhs, c *ap, c *afp, char *equed, s *s, c *b, int *ldb, c *x, int *ldx, s *rcond, s *ferr, s *berr, c *work, s *rwork, int *info) noexcept nogil:
    
    _fortran_cppsvx(fact, uplo, n, nrhs, <npy_complex64*>ap, <npy_complex64*>afp, equed, s, <npy_complex64*>b, ldb, <npy_complex64*>x, ldx, rcond, ferr, berr, <npy_complex64*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cpptrf "BLAS_FUNC(cpptrf)"(char *uplo, int *n, npy_complex64 *ap, int *info) nogil
cdef void cpptrf(char *uplo, int *n, c *ap, int *info) noexcept nogil:
    
    _fortran_cpptrf(uplo, n, <npy_complex64*>ap, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cpptri "BLAS_FUNC(cpptri)"(char *uplo, int *n, npy_complex64 *ap, int *info) nogil
cdef void cpptri(char *uplo, int *n, c *ap, int *info) noexcept nogil:
    
    _fortran_cpptri(uplo, n, <npy_complex64*>ap, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cpptrs "BLAS_FUNC(cpptrs)"(char *uplo, int *n, int *nrhs, npy_complex64 *ap, npy_complex64 *b, int *ldb, int *info) nogil
cdef void cpptrs(char *uplo, int *n, int *nrhs, c *ap, c *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_cpptrs(uplo, n, nrhs, <npy_complex64*>ap, <npy_complex64*>b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cpstf2 "BLAS_FUNC(cpstf2)"(char *uplo, int *n, npy_complex64 *a, int *lda, int *piv, int *rank, s *tol, s *work, int *info) nogil
cdef void cpstf2(char *uplo, int *n, c *a, int *lda, int *piv, int *rank, s *tol, s *work, int *info) noexcept nogil:
    
    _fortran_cpstf2(uplo, n, <npy_complex64*>a, lda, piv, rank, tol, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cpstrf "BLAS_FUNC(cpstrf)"(char *uplo, int *n, npy_complex64 *a, int *lda, int *piv, int *rank, s *tol, s *work, int *info) nogil
cdef void cpstrf(char *uplo, int *n, c *a, int *lda, int *piv, int *rank, s *tol, s *work, int *info) noexcept nogil:
    
    _fortran_cpstrf(uplo, n, <npy_complex64*>a, lda, piv, rank, tol, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cptcon "BLAS_FUNC(cptcon)"(int *n, s *d, npy_complex64 *e, s *anorm, s *rcond, s *rwork, int *info) nogil
cdef void cptcon(int *n, s *d, c *e, s *anorm, s *rcond, s *rwork, int *info) noexcept nogil:
    
    _fortran_cptcon(n, d, <npy_complex64*>e, anorm, rcond, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cpteqr "BLAS_FUNC(cpteqr)"(char *compz, int *n, s *d, s *e, npy_complex64 *z, int *ldz, s *work, int *info) nogil
cdef void cpteqr(char *compz, int *n, s *d, s *e, c *z, int *ldz, s *work, int *info) noexcept nogil:
    
    _fortran_cpteqr(compz, n, d, e, <npy_complex64*>z, ldz, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cptrfs "BLAS_FUNC(cptrfs)"(char *uplo, int *n, int *nrhs, s *d, npy_complex64 *e, s *df, npy_complex64 *ef, npy_complex64 *b, int *ldb, npy_complex64 *x, int *ldx, s *ferr, s *berr, npy_complex64 *work, s *rwork, int *info) nogil
cdef void cptrfs(char *uplo, int *n, int *nrhs, s *d, c *e, s *df, c *ef, c *b, int *ldb, c *x, int *ldx, s *ferr, s *berr, c *work, s *rwork, int *info) noexcept nogil:
    
    _fortran_cptrfs(uplo, n, nrhs, d, <npy_complex64*>e, df, <npy_complex64*>ef, <npy_complex64*>b, ldb, <npy_complex64*>x, ldx, ferr, berr, <npy_complex64*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cptsv "BLAS_FUNC(cptsv)"(int *n, int *nrhs, s *d, npy_complex64 *e, npy_complex64 *b, int *ldb, int *info) nogil
cdef void cptsv(int *n, int *nrhs, s *d, c *e, c *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_cptsv(n, nrhs, d, <npy_complex64*>e, <npy_complex64*>b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cptsvx "BLAS_FUNC(cptsvx)"(char *fact, int *n, int *nrhs, s *d, npy_complex64 *e, s *df, npy_complex64 *ef, npy_complex64 *b, int *ldb, npy_complex64 *x, int *ldx, s *rcond, s *ferr, s *berr, npy_complex64 *work, s *rwork, int *info) nogil
cdef void cptsvx(char *fact, int *n, int *nrhs, s *d, c *e, s *df, c *ef, c *b, int *ldb, c *x, int *ldx, s *rcond, s *ferr, s *berr, c *work, s *rwork, int *info) noexcept nogil:
    
    _fortran_cptsvx(fact, n, nrhs, d, <npy_complex64*>e, df, <npy_complex64*>ef, <npy_complex64*>b, ldb, <npy_complex64*>x, ldx, rcond, ferr, berr, <npy_complex64*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cpttrf "BLAS_FUNC(cpttrf)"(int *n, s *d, npy_complex64 *e, int *info) nogil
cdef void cpttrf(int *n, s *d, c *e, int *info) noexcept nogil:
    
    _fortran_cpttrf(n, d, <npy_complex64*>e, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cpttrs "BLAS_FUNC(cpttrs)"(char *uplo, int *n, int *nrhs, s *d, npy_complex64 *e, npy_complex64 *b, int *ldb, int *info) nogil
cdef void cpttrs(char *uplo, int *n, int *nrhs, s *d, c *e, c *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_cpttrs(uplo, n, nrhs, d, <npy_complex64*>e, <npy_complex64*>b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cptts2 "BLAS_FUNC(cptts2)"(int *iuplo, int *n, int *nrhs, s *d, npy_complex64 *e, npy_complex64 *b, int *ldb) nogil
cdef void cptts2(int *iuplo, int *n, int *nrhs, s *d, c *e, c *b, int *ldb) noexcept nogil:
    
    _fortran_cptts2(iuplo, n, nrhs, d, <npy_complex64*>e, <npy_complex64*>b, ldb)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_crot "BLAS_FUNC(crot)"(int *n, npy_complex64 *cx, int *incx, npy_complex64 *cy, int *incy, s *c, npy_complex64 *s) nogil
cdef void crot(int *n, c *cx, int *incx, c *cy, int *incy, s *c, c *s) noexcept nogil:
    
    _fortran_crot(n, <npy_complex64*>cx, incx, <npy_complex64*>cy, incy, c, <npy_complex64*>s)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cspcon "BLAS_FUNC(cspcon)"(char *uplo, int *n, npy_complex64 *ap, int *ipiv, s *anorm, s *rcond, npy_complex64 *work, int *info) nogil
cdef void cspcon(char *uplo, int *n, c *ap, int *ipiv, s *anorm, s *rcond, c *work, int *info) noexcept nogil:
    
    _fortran_cspcon(uplo, n, <npy_complex64*>ap, ipiv, anorm, rcond, <npy_complex64*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cspmv "BLAS_FUNC(cspmv)"(char *uplo, int *n, npy_complex64 *alpha, npy_complex64 *ap, npy_complex64 *x, int *incx, npy_complex64 *beta, npy_complex64 *y, int *incy) nogil
cdef void cspmv(char *uplo, int *n, c *alpha, c *ap, c *x, int *incx, c *beta, c *y, int *incy) noexcept nogil:
    
    _fortran_cspmv(uplo, n, <npy_complex64*>alpha, <npy_complex64*>ap, <npy_complex64*>x, incx, <npy_complex64*>beta, <npy_complex64*>y, incy)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cspr "BLAS_FUNC(cspr)"(char *uplo, int *n, npy_complex64 *alpha, npy_complex64 *x, int *incx, npy_complex64 *ap) nogil
cdef void cspr(char *uplo, int *n, c *alpha, c *x, int *incx, c *ap) noexcept nogil:
    
    _fortran_cspr(uplo, n, <npy_complex64*>alpha, <npy_complex64*>x, incx, <npy_complex64*>ap)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_csprfs "BLAS_FUNC(csprfs)"(char *uplo, int *n, int *nrhs, npy_complex64 *ap, npy_complex64 *afp, int *ipiv, npy_complex64 *b, int *ldb, npy_complex64 *x, int *ldx, s *ferr, s *berr, npy_complex64 *work, s *rwork, int *info) nogil
cdef void csprfs(char *uplo, int *n, int *nrhs, c *ap, c *afp, int *ipiv, c *b, int *ldb, c *x, int *ldx, s *ferr, s *berr, c *work, s *rwork, int *info) noexcept nogil:
    
    _fortran_csprfs(uplo, n, nrhs, <npy_complex64*>ap, <npy_complex64*>afp, ipiv, <npy_complex64*>b, ldb, <npy_complex64*>x, ldx, ferr, berr, <npy_complex64*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cspsv "BLAS_FUNC(cspsv)"(char *uplo, int *n, int *nrhs, npy_complex64 *ap, int *ipiv, npy_complex64 *b, int *ldb, int *info) nogil
cdef void cspsv(char *uplo, int *n, int *nrhs, c *ap, int *ipiv, c *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_cspsv(uplo, n, nrhs, <npy_complex64*>ap, ipiv, <npy_complex64*>b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cspsvx "BLAS_FUNC(cspsvx)"(char *fact, char *uplo, int *n, int *nrhs, npy_complex64 *ap, npy_complex64 *afp, int *ipiv, npy_complex64 *b, int *ldb, npy_complex64 *x, int *ldx, s *rcond, s *ferr, s *berr, npy_complex64 *work, s *rwork, int *info) nogil
cdef void cspsvx(char *fact, char *uplo, int *n, int *nrhs, c *ap, c *afp, int *ipiv, c *b, int *ldb, c *x, int *ldx, s *rcond, s *ferr, s *berr, c *work, s *rwork, int *info) noexcept nogil:
    
    _fortran_cspsvx(fact, uplo, n, nrhs, <npy_complex64*>ap, <npy_complex64*>afp, ipiv, <npy_complex64*>b, ldb, <npy_complex64*>x, ldx, rcond, ferr, berr, <npy_complex64*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_csptrf "BLAS_FUNC(csptrf)"(char *uplo, int *n, npy_complex64 *ap, int *ipiv, int *info) nogil
cdef void csptrf(char *uplo, int *n, c *ap, int *ipiv, int *info) noexcept nogil:
    
    _fortran_csptrf(uplo, n, <npy_complex64*>ap, ipiv, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_csptri "BLAS_FUNC(csptri)"(char *uplo, int *n, npy_complex64 *ap, int *ipiv, npy_complex64 *work, int *info) nogil
cdef void csptri(char *uplo, int *n, c *ap, int *ipiv, c *work, int *info) noexcept nogil:
    
    _fortran_csptri(uplo, n, <npy_complex64*>ap, ipiv, <npy_complex64*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_csptrs "BLAS_FUNC(csptrs)"(char *uplo, int *n, int *nrhs, npy_complex64 *ap, int *ipiv, npy_complex64 *b, int *ldb, int *info) nogil
cdef void csptrs(char *uplo, int *n, int *nrhs, c *ap, int *ipiv, c *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_csptrs(uplo, n, nrhs, <npy_complex64*>ap, ipiv, <npy_complex64*>b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_csrscl "BLAS_FUNC(csrscl)"(int *n, s *sa, npy_complex64 *sx, int *incx) nogil
cdef void csrscl(int *n, s *sa, c *sx, int *incx) noexcept nogil:
    
    _fortran_csrscl(n, sa, <npy_complex64*>sx, incx)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cstedc "BLAS_FUNC(cstedc)"(char *compz, int *n, s *d, s *e, npy_complex64 *z, int *ldz, npy_complex64 *work, int *lwork, s *rwork, int *lrwork, int *iwork, int *liwork, int *info) nogil
cdef void cstedc(char *compz, int *n, s *d, s *e, c *z, int *ldz, c *work, int *lwork, s *rwork, int *lrwork, int *iwork, int *liwork, int *info) noexcept nogil:
    
    _fortran_cstedc(compz, n, d, e, <npy_complex64*>z, ldz, <npy_complex64*>work, lwork, rwork, lrwork, iwork, liwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cstegr "BLAS_FUNC(cstegr)"(char *jobz, char *range, int *n, s *d, s *e, s *vl, s *vu, int *il, int *iu, s *abstol, int *m, s *w, npy_complex64 *z, int *ldz, int *isuppz, s *work, int *lwork, int *iwork, int *liwork, int *info) nogil
cdef void cstegr(char *jobz, char *range, int *n, s *d, s *e, s *vl, s *vu, int *il, int *iu, s *abstol, int *m, s *w, c *z, int *ldz, int *isuppz, s *work, int *lwork, int *iwork, int *liwork, int *info) noexcept nogil:
    
    _fortran_cstegr(jobz, range, n, d, e, vl, vu, il, iu, abstol, m, w, <npy_complex64*>z, ldz, isuppz, work, lwork, iwork, liwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cstein "BLAS_FUNC(cstein)"(int *n, s *d, s *e, int *m, s *w, int *iblock, int *isplit, npy_complex64 *z, int *ldz, s *work, int *iwork, int *ifail, int *info) nogil
cdef void cstein(int *n, s *d, s *e, int *m, s *w, int *iblock, int *isplit, c *z, int *ldz, s *work, int *iwork, int *ifail, int *info) noexcept nogil:
    
    _fortran_cstein(n, d, e, m, w, iblock, isplit, <npy_complex64*>z, ldz, work, iwork, ifail, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cstemr "BLAS_FUNC(cstemr)"(char *jobz, char *range, int *n, s *d, s *e, s *vl, s *vu, int *il, int *iu, int *m, s *w, npy_complex64 *z, int *ldz, int *nzc, int *isuppz, bint *tryrac, s *work, int *lwork, int *iwork, int *liwork, int *info) nogil
cdef void cstemr(char *jobz, char *range, int *n, s *d, s *e, s *vl, s *vu, int *il, int *iu, int *m, s *w, c *z, int *ldz, int *nzc, int *isuppz, bint *tryrac, s *work, int *lwork, int *iwork, int *liwork, int *info) noexcept nogil:
    
    _fortran_cstemr(jobz, range, n, d, e, vl, vu, il, iu, m, w, <npy_complex64*>z, ldz, nzc, isuppz, tryrac, work, lwork, iwork, liwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_csteqr "BLAS_FUNC(csteqr)"(char *compz, int *n, s *d, s *e, npy_complex64 *z, int *ldz, s *work, int *info) nogil
cdef void csteqr(char *compz, int *n, s *d, s *e, c *z, int *ldz, s *work, int *info) noexcept nogil:
    
    _fortran_csteqr(compz, n, d, e, <npy_complex64*>z, ldz, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_csycon "BLAS_FUNC(csycon)"(char *uplo, int *n, npy_complex64 *a, int *lda, int *ipiv, s *anorm, s *rcond, npy_complex64 *work, int *info) nogil
cdef void csycon(char *uplo, int *n, c *a, int *lda, int *ipiv, s *anorm, s *rcond, c *work, int *info) noexcept nogil:
    
    _fortran_csycon(uplo, n, <npy_complex64*>a, lda, ipiv, anorm, rcond, <npy_complex64*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_csyconv "BLAS_FUNC(csyconv)"(char *uplo, char *way, int *n, npy_complex64 *a, int *lda, int *ipiv, npy_complex64 *work, int *info) nogil
cdef void csyconv(char *uplo, char *way, int *n, c *a, int *lda, int *ipiv, c *work, int *info) noexcept nogil:
    
    _fortran_csyconv(uplo, way, n, <npy_complex64*>a, lda, ipiv, <npy_complex64*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_csyequb "BLAS_FUNC(csyequb)"(char *uplo, int *n, npy_complex64 *a, int *lda, s *s, s *scond, s *amax, npy_complex64 *work, int *info) nogil
cdef void csyequb(char *uplo, int *n, c *a, int *lda, s *s, s *scond, s *amax, c *work, int *info) noexcept nogil:
    
    _fortran_csyequb(uplo, n, <npy_complex64*>a, lda, s, scond, amax, <npy_complex64*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_csymv "BLAS_FUNC(csymv)"(char *uplo, int *n, npy_complex64 *alpha, npy_complex64 *a, int *lda, npy_complex64 *x, int *incx, npy_complex64 *beta, npy_complex64 *y, int *incy) nogil
cdef void csymv(char *uplo, int *n, c *alpha, c *a, int *lda, c *x, int *incx, c *beta, c *y, int *incy) noexcept nogil:
    
    _fortran_csymv(uplo, n, <npy_complex64*>alpha, <npy_complex64*>a, lda, <npy_complex64*>x, incx, <npy_complex64*>beta, <npy_complex64*>y, incy)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_csyr "BLAS_FUNC(csyr)"(char *uplo, int *n, npy_complex64 *alpha, npy_complex64 *x, int *incx, npy_complex64 *a, int *lda) nogil
cdef void csyr(char *uplo, int *n, c *alpha, c *x, int *incx, c *a, int *lda) noexcept nogil:
    
    _fortran_csyr(uplo, n, <npy_complex64*>alpha, <npy_complex64*>x, incx, <npy_complex64*>a, lda)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_csyrfs "BLAS_FUNC(csyrfs)"(char *uplo, int *n, int *nrhs, npy_complex64 *a, int *lda, npy_complex64 *af, int *ldaf, int *ipiv, npy_complex64 *b, int *ldb, npy_complex64 *x, int *ldx, s *ferr, s *berr, npy_complex64 *work, s *rwork, int *info) nogil
cdef void csyrfs(char *uplo, int *n, int *nrhs, c *a, int *lda, c *af, int *ldaf, int *ipiv, c *b, int *ldb, c *x, int *ldx, s *ferr, s *berr, c *work, s *rwork, int *info) noexcept nogil:
    
    _fortran_csyrfs(uplo, n, nrhs, <npy_complex64*>a, lda, <npy_complex64*>af, ldaf, ipiv, <npy_complex64*>b, ldb, <npy_complex64*>x, ldx, ferr, berr, <npy_complex64*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_csysv "BLAS_FUNC(csysv)"(char *uplo, int *n, int *nrhs, npy_complex64 *a, int *lda, int *ipiv, npy_complex64 *b, int *ldb, npy_complex64 *work, int *lwork, int *info) nogil
cdef void csysv(char *uplo, int *n, int *nrhs, c *a, int *lda, int *ipiv, c *b, int *ldb, c *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_csysv(uplo, n, nrhs, <npy_complex64*>a, lda, ipiv, <npy_complex64*>b, ldb, <npy_complex64*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_csysvx "BLAS_FUNC(csysvx)"(char *fact, char *uplo, int *n, int *nrhs, npy_complex64 *a, int *lda, npy_complex64 *af, int *ldaf, int *ipiv, npy_complex64 *b, int *ldb, npy_complex64 *x, int *ldx, s *rcond, s *ferr, s *berr, npy_complex64 *work, int *lwork, s *rwork, int *info) nogil
cdef void csysvx(char *fact, char *uplo, int *n, int *nrhs, c *a, int *lda, c *af, int *ldaf, int *ipiv, c *b, int *ldb, c *x, int *ldx, s *rcond, s *ferr, s *berr, c *work, int *lwork, s *rwork, int *info) noexcept nogil:
    
    _fortran_csysvx(fact, uplo, n, nrhs, <npy_complex64*>a, lda, <npy_complex64*>af, ldaf, ipiv, <npy_complex64*>b, ldb, <npy_complex64*>x, ldx, rcond, ferr, berr, <npy_complex64*>work, lwork, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_csyswapr "BLAS_FUNC(csyswapr)"(char *uplo, int *n, npy_complex64 *a, int *lda, int *i1, int *i2) nogil
cdef void csyswapr(char *uplo, int *n, c *a, int *lda, int *i1, int *i2) noexcept nogil:
    
    _fortran_csyswapr(uplo, n, <npy_complex64*>a, lda, i1, i2)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_csytf2 "BLAS_FUNC(csytf2)"(char *uplo, int *n, npy_complex64 *a, int *lda, int *ipiv, int *info) nogil
cdef void csytf2(char *uplo, int *n, c *a, int *lda, int *ipiv, int *info) noexcept nogil:
    
    _fortran_csytf2(uplo, n, <npy_complex64*>a, lda, ipiv, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_csytrf "BLAS_FUNC(csytrf)"(char *uplo, int *n, npy_complex64 *a, int *lda, int *ipiv, npy_complex64 *work, int *lwork, int *info) nogil
cdef void csytrf(char *uplo, int *n, c *a, int *lda, int *ipiv, c *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_csytrf(uplo, n, <npy_complex64*>a, lda, ipiv, <npy_complex64*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_csytri "BLAS_FUNC(csytri)"(char *uplo, int *n, npy_complex64 *a, int *lda, int *ipiv, npy_complex64 *work, int *info) nogil
cdef void csytri(char *uplo, int *n, c *a, int *lda, int *ipiv, c *work, int *info) noexcept nogil:
    
    _fortran_csytri(uplo, n, <npy_complex64*>a, lda, ipiv, <npy_complex64*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_csytri2 "BLAS_FUNC(csytri2)"(char *uplo, int *n, npy_complex64 *a, int *lda, int *ipiv, npy_complex64 *work, int *lwork, int *info) nogil
cdef void csytri2(char *uplo, int *n, c *a, int *lda, int *ipiv, c *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_csytri2(uplo, n, <npy_complex64*>a, lda, ipiv, <npy_complex64*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_csytri2x "BLAS_FUNC(csytri2x)"(char *uplo, int *n, npy_complex64 *a, int *lda, int *ipiv, npy_complex64 *work, int *nb, int *info) nogil
cdef void csytri2x(char *uplo, int *n, c *a, int *lda, int *ipiv, c *work, int *nb, int *info) noexcept nogil:
    
    _fortran_csytri2x(uplo, n, <npy_complex64*>a, lda, ipiv, <npy_complex64*>work, nb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_csytrs "BLAS_FUNC(csytrs)"(char *uplo, int *n, int *nrhs, npy_complex64 *a, int *lda, int *ipiv, npy_complex64 *b, int *ldb, int *info) nogil
cdef void csytrs(char *uplo, int *n, int *nrhs, c *a, int *lda, int *ipiv, c *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_csytrs(uplo, n, nrhs, <npy_complex64*>a, lda, ipiv, <npy_complex64*>b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_csytrs2 "BLAS_FUNC(csytrs2)"(char *uplo, int *n, int *nrhs, npy_complex64 *a, int *lda, int *ipiv, npy_complex64 *b, int *ldb, npy_complex64 *work, int *info) nogil
cdef void csytrs2(char *uplo, int *n, int *nrhs, c *a, int *lda, int *ipiv, c *b, int *ldb, c *work, int *info) noexcept nogil:
    
    _fortran_csytrs2(uplo, n, nrhs, <npy_complex64*>a, lda, ipiv, <npy_complex64*>b, ldb, <npy_complex64*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ctbcon "BLAS_FUNC(ctbcon)"(char *norm, char *uplo, char *diag, int *n, int *kd, npy_complex64 *ab, int *ldab, s *rcond, npy_complex64 *work, s *rwork, int *info) nogil
cdef void ctbcon(char *norm, char *uplo, char *diag, int *n, int *kd, c *ab, int *ldab, s *rcond, c *work, s *rwork, int *info) noexcept nogil:
    
    _fortran_ctbcon(norm, uplo, diag, n, kd, <npy_complex64*>ab, ldab, rcond, <npy_complex64*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ctbrfs "BLAS_FUNC(ctbrfs)"(char *uplo, char *trans, char *diag, int *n, int *kd, int *nrhs, npy_complex64 *ab, int *ldab, npy_complex64 *b, int *ldb, npy_complex64 *x, int *ldx, s *ferr, s *berr, npy_complex64 *work, s *rwork, int *info) nogil
cdef void ctbrfs(char *uplo, char *trans, char *diag, int *n, int *kd, int *nrhs, c *ab, int *ldab, c *b, int *ldb, c *x, int *ldx, s *ferr, s *berr, c *work, s *rwork, int *info) noexcept nogil:
    
    _fortran_ctbrfs(uplo, trans, diag, n, kd, nrhs, <npy_complex64*>ab, ldab, <npy_complex64*>b, ldb, <npy_complex64*>x, ldx, ferr, berr, <npy_complex64*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ctbtrs "BLAS_FUNC(ctbtrs)"(char *uplo, char *trans, char *diag, int *n, int *kd, int *nrhs, npy_complex64 *ab, int *ldab, npy_complex64 *b, int *ldb, int *info) nogil
cdef void ctbtrs(char *uplo, char *trans, char *diag, int *n, int *kd, int *nrhs, c *ab, int *ldab, c *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_ctbtrs(uplo, trans, diag, n, kd, nrhs, <npy_complex64*>ab, ldab, <npy_complex64*>b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ctfsm "BLAS_FUNC(ctfsm)"(char *transr, char *side, char *uplo, char *trans, char *diag, int *m, int *n, npy_complex64 *alpha, npy_complex64 *a, npy_complex64 *b, int *ldb) nogil
cdef void ctfsm(char *transr, char *side, char *uplo, char *trans, char *diag, int *m, int *n, c *alpha, c *a, c *b, int *ldb) noexcept nogil:
    
    _fortran_ctfsm(transr, side, uplo, trans, diag, m, n, <npy_complex64*>alpha, <npy_complex64*>a, <npy_complex64*>b, ldb)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ctftri "BLAS_FUNC(ctftri)"(char *transr, char *uplo, char *diag, int *n, npy_complex64 *a, int *info) nogil
cdef void ctftri(char *transr, char *uplo, char *diag, int *n, c *a, int *info) noexcept nogil:
    
    _fortran_ctftri(transr, uplo, diag, n, <npy_complex64*>a, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ctfttp "BLAS_FUNC(ctfttp)"(char *transr, char *uplo, int *n, npy_complex64 *arf, npy_complex64 *ap, int *info) nogil
cdef void ctfttp(char *transr, char *uplo, int *n, c *arf, c *ap, int *info) noexcept nogil:
    
    _fortran_ctfttp(transr, uplo, n, <npy_complex64*>arf, <npy_complex64*>ap, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ctfttr "BLAS_FUNC(ctfttr)"(char *transr, char *uplo, int *n, npy_complex64 *arf, npy_complex64 *a, int *lda, int *info) nogil
cdef void ctfttr(char *transr, char *uplo, int *n, c *arf, c *a, int *lda, int *info) noexcept nogil:
    
    _fortran_ctfttr(transr, uplo, n, <npy_complex64*>arf, <npy_complex64*>a, lda, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ctgevc "BLAS_FUNC(ctgevc)"(char *side, char *howmny, bint *select, int *n, npy_complex64 *s, int *lds, npy_complex64 *p, int *ldp, npy_complex64 *vl, int *ldvl, npy_complex64 *vr, int *ldvr, int *mm, int *m, npy_complex64 *work, s *rwork, int *info) nogil
cdef void ctgevc(char *side, char *howmny, bint *select, int *n, c *s, int *lds, c *p, int *ldp, c *vl, int *ldvl, c *vr, int *ldvr, int *mm, int *m, c *work, s *rwork, int *info) noexcept nogil:
    
    _fortran_ctgevc(side, howmny, select, n, <npy_complex64*>s, lds, <npy_complex64*>p, ldp, <npy_complex64*>vl, ldvl, <npy_complex64*>vr, ldvr, mm, m, <npy_complex64*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ctgex2 "BLAS_FUNC(ctgex2)"(bint *wantq, bint *wantz, int *n, npy_complex64 *a, int *lda, npy_complex64 *b, int *ldb, npy_complex64 *q, int *ldq, npy_complex64 *z, int *ldz, int *j1, int *info) nogil
cdef void ctgex2(bint *wantq, bint *wantz, int *n, c *a, int *lda, c *b, int *ldb, c *q, int *ldq, c *z, int *ldz, int *j1, int *info) noexcept nogil:
    
    _fortran_ctgex2(wantq, wantz, n, <npy_complex64*>a, lda, <npy_complex64*>b, ldb, <npy_complex64*>q, ldq, <npy_complex64*>z, ldz, j1, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ctgexc "BLAS_FUNC(ctgexc)"(bint *wantq, bint *wantz, int *n, npy_complex64 *a, int *lda, npy_complex64 *b, int *ldb, npy_complex64 *q, int *ldq, npy_complex64 *z, int *ldz, int *ifst, int *ilst, int *info) nogil
cdef void ctgexc(bint *wantq, bint *wantz, int *n, c *a, int *lda, c *b, int *ldb, c *q, int *ldq, c *z, int *ldz, int *ifst, int *ilst, int *info) noexcept nogil:
    
    _fortran_ctgexc(wantq, wantz, n, <npy_complex64*>a, lda, <npy_complex64*>b, ldb, <npy_complex64*>q, ldq, <npy_complex64*>z, ldz, ifst, ilst, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ctgsen "BLAS_FUNC(ctgsen)"(int *ijob, bint *wantq, bint *wantz, bint *select, int *n, npy_complex64 *a, int *lda, npy_complex64 *b, int *ldb, npy_complex64 *alpha, npy_complex64 *beta, npy_complex64 *q, int *ldq, npy_complex64 *z, int *ldz, int *m, s *pl, s *pr, s *dif, npy_complex64 *work, int *lwork, int *iwork, int *liwork, int *info) nogil
cdef void ctgsen(int *ijob, bint *wantq, bint *wantz, bint *select, int *n, c *a, int *lda, c *b, int *ldb, c *alpha, c *beta, c *q, int *ldq, c *z, int *ldz, int *m, s *pl, s *pr, s *dif, c *work, int *lwork, int *iwork, int *liwork, int *info) noexcept nogil:
    
    _fortran_ctgsen(ijob, wantq, wantz, select, n, <npy_complex64*>a, lda, <npy_complex64*>b, ldb, <npy_complex64*>alpha, <npy_complex64*>beta, <npy_complex64*>q, ldq, <npy_complex64*>z, ldz, m, pl, pr, dif, <npy_complex64*>work, lwork, iwork, liwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ctgsja "BLAS_FUNC(ctgsja)"(char *jobu, char *jobv, char *jobq, int *m, int *p, int *n, int *k, int *l, npy_complex64 *a, int *lda, npy_complex64 *b, int *ldb, s *tola, s *tolb, s *alpha, s *beta, npy_complex64 *u, int *ldu, npy_complex64 *v, int *ldv, npy_complex64 *q, int *ldq, npy_complex64 *work, int *ncycle, int *info) nogil
cdef void ctgsja(char *jobu, char *jobv, char *jobq, int *m, int *p, int *n, int *k, int *l, c *a, int *lda, c *b, int *ldb, s *tola, s *tolb, s *alpha, s *beta, c *u, int *ldu, c *v, int *ldv, c *q, int *ldq, c *work, int *ncycle, int *info) noexcept nogil:
    
    _fortran_ctgsja(jobu, jobv, jobq, m, p, n, k, l, <npy_complex64*>a, lda, <npy_complex64*>b, ldb, tola, tolb, alpha, beta, <npy_complex64*>u, ldu, <npy_complex64*>v, ldv, <npy_complex64*>q, ldq, <npy_complex64*>work, ncycle, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ctgsna "BLAS_FUNC(ctgsna)"(char *job, char *howmny, bint *select, int *n, npy_complex64 *a, int *lda, npy_complex64 *b, int *ldb, npy_complex64 *vl, int *ldvl, npy_complex64 *vr, int *ldvr, s *s, s *dif, int *mm, int *m, npy_complex64 *work, int *lwork, int *iwork, int *info) nogil
cdef void ctgsna(char *job, char *howmny, bint *select, int *n, c *a, int *lda, c *b, int *ldb, c *vl, int *ldvl, c *vr, int *ldvr, s *s, s *dif, int *mm, int *m, c *work, int *lwork, int *iwork, int *info) noexcept nogil:
    
    _fortran_ctgsna(job, howmny, select, n, <npy_complex64*>a, lda, <npy_complex64*>b, ldb, <npy_complex64*>vl, ldvl, <npy_complex64*>vr, ldvr, s, dif, mm, m, <npy_complex64*>work, lwork, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ctgsy2 "BLAS_FUNC(ctgsy2)"(char *trans, int *ijob, int *m, int *n, npy_complex64 *a, int *lda, npy_complex64 *b, int *ldb, npy_complex64 *c, int *ldc, npy_complex64 *d, int *ldd, npy_complex64 *e, int *lde, npy_complex64 *f, int *ldf, s *scale, s *rdsum, s *rdscal, int *info) nogil
cdef void ctgsy2(char *trans, int *ijob, int *m, int *n, c *a, int *lda, c *b, int *ldb, c *c, int *ldc, c *d, int *ldd, c *e, int *lde, c *f, int *ldf, s *scale, s *rdsum, s *rdscal, int *info) noexcept nogil:
    
    _fortran_ctgsy2(trans, ijob, m, n, <npy_complex64*>a, lda, <npy_complex64*>b, ldb, <npy_complex64*>c, ldc, <npy_complex64*>d, ldd, <npy_complex64*>e, lde, <npy_complex64*>f, ldf, scale, rdsum, rdscal, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ctgsyl "BLAS_FUNC(ctgsyl)"(char *trans, int *ijob, int *m, int *n, npy_complex64 *a, int *lda, npy_complex64 *b, int *ldb, npy_complex64 *c, int *ldc, npy_complex64 *d, int *ldd, npy_complex64 *e, int *lde, npy_complex64 *f, int *ldf, s *scale, s *dif, npy_complex64 *work, int *lwork, int *iwork, int *info) nogil
cdef void ctgsyl(char *trans, int *ijob, int *m, int *n, c *a, int *lda, c *b, int *ldb, c *c, int *ldc, c *d, int *ldd, c *e, int *lde, c *f, int *ldf, s *scale, s *dif, c *work, int *lwork, int *iwork, int *info) noexcept nogil:
    
    _fortran_ctgsyl(trans, ijob, m, n, <npy_complex64*>a, lda, <npy_complex64*>b, ldb, <npy_complex64*>c, ldc, <npy_complex64*>d, ldd, <npy_complex64*>e, lde, <npy_complex64*>f, ldf, scale, dif, <npy_complex64*>work, lwork, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ctpcon "BLAS_FUNC(ctpcon)"(char *norm, char *uplo, char *diag, int *n, npy_complex64 *ap, s *rcond, npy_complex64 *work, s *rwork, int *info) nogil
cdef void ctpcon(char *norm, char *uplo, char *diag, int *n, c *ap, s *rcond, c *work, s *rwork, int *info) noexcept nogil:
    
    _fortran_ctpcon(norm, uplo, diag, n, <npy_complex64*>ap, rcond, <npy_complex64*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ctpmqrt "BLAS_FUNC(ctpmqrt)"(char *side, char *trans, int *m, int *n, int *k, int *l, int *nb, npy_complex64 *v, int *ldv, npy_complex64 *t, int *ldt, npy_complex64 *a, int *lda, npy_complex64 *b, int *ldb, npy_complex64 *work, int *info) nogil
cdef void ctpmqrt(char *side, char *trans, int *m, int *n, int *k, int *l, int *nb, c *v, int *ldv, c *t, int *ldt, c *a, int *lda, c *b, int *ldb, c *work, int *info) noexcept nogil:
    
    _fortran_ctpmqrt(side, trans, m, n, k, l, nb, <npy_complex64*>v, ldv, <npy_complex64*>t, ldt, <npy_complex64*>a, lda, <npy_complex64*>b, ldb, <npy_complex64*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ctpqrt "BLAS_FUNC(ctpqrt)"(int *m, int *n, int *l, int *nb, npy_complex64 *a, int *lda, npy_complex64 *b, int *ldb, npy_complex64 *t, int *ldt, npy_complex64 *work, int *info) nogil
cdef void ctpqrt(int *m, int *n, int *l, int *nb, c *a, int *lda, c *b, int *ldb, c *t, int *ldt, c *work, int *info) noexcept nogil:
    
    _fortran_ctpqrt(m, n, l, nb, <npy_complex64*>a, lda, <npy_complex64*>b, ldb, <npy_complex64*>t, ldt, <npy_complex64*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ctpqrt2 "BLAS_FUNC(ctpqrt2)"(int *m, int *n, int *l, npy_complex64 *a, int *lda, npy_complex64 *b, int *ldb, npy_complex64 *t, int *ldt, int *info) nogil
cdef void ctpqrt2(int *m, int *n, int *l, c *a, int *lda, c *b, int *ldb, c *t, int *ldt, int *info) noexcept nogil:
    
    _fortran_ctpqrt2(m, n, l, <npy_complex64*>a, lda, <npy_complex64*>b, ldb, <npy_complex64*>t, ldt, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ctprfb "BLAS_FUNC(ctprfb)"(char *side, char *trans, char *direct, char *storev, int *m, int *n, int *k, int *l, npy_complex64 *v, int *ldv, npy_complex64 *t, int *ldt, npy_complex64 *a, int *lda, npy_complex64 *b, int *ldb, npy_complex64 *work, int *ldwork) nogil
cdef void ctprfb(char *side, char *trans, char *direct, char *storev, int *m, int *n, int *k, int *l, c *v, int *ldv, c *t, int *ldt, c *a, int *lda, c *b, int *ldb, c *work, int *ldwork) noexcept nogil:
    
    _fortran_ctprfb(side, trans, direct, storev, m, n, k, l, <npy_complex64*>v, ldv, <npy_complex64*>t, ldt, <npy_complex64*>a, lda, <npy_complex64*>b, ldb, <npy_complex64*>work, ldwork)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ctprfs "BLAS_FUNC(ctprfs)"(char *uplo, char *trans, char *diag, int *n, int *nrhs, npy_complex64 *ap, npy_complex64 *b, int *ldb, npy_complex64 *x, int *ldx, s *ferr, s *berr, npy_complex64 *work, s *rwork, int *info) nogil
cdef void ctprfs(char *uplo, char *trans, char *diag, int *n, int *nrhs, c *ap, c *b, int *ldb, c *x, int *ldx, s *ferr, s *berr, c *work, s *rwork, int *info) noexcept nogil:
    
    _fortran_ctprfs(uplo, trans, diag, n, nrhs, <npy_complex64*>ap, <npy_complex64*>b, ldb, <npy_complex64*>x, ldx, ferr, berr, <npy_complex64*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ctptri "BLAS_FUNC(ctptri)"(char *uplo, char *diag, int *n, npy_complex64 *ap, int *info) nogil
cdef void ctptri(char *uplo, char *diag, int *n, c *ap, int *info) noexcept nogil:
    
    _fortran_ctptri(uplo, diag, n, <npy_complex64*>ap, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ctptrs "BLAS_FUNC(ctptrs)"(char *uplo, char *trans, char *diag, int *n, int *nrhs, npy_complex64 *ap, npy_complex64 *b, int *ldb, int *info) nogil
cdef void ctptrs(char *uplo, char *trans, char *diag, int *n, int *nrhs, c *ap, c *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_ctptrs(uplo, trans, diag, n, nrhs, <npy_complex64*>ap, <npy_complex64*>b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ctpttf "BLAS_FUNC(ctpttf)"(char *transr, char *uplo, int *n, npy_complex64 *ap, npy_complex64 *arf, int *info) nogil
cdef void ctpttf(char *transr, char *uplo, int *n, c *ap, c *arf, int *info) noexcept nogil:
    
    _fortran_ctpttf(transr, uplo, n, <npy_complex64*>ap, <npy_complex64*>arf, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ctpttr "BLAS_FUNC(ctpttr)"(char *uplo, int *n, npy_complex64 *ap, npy_complex64 *a, int *lda, int *info) nogil
cdef void ctpttr(char *uplo, int *n, c *ap, c *a, int *lda, int *info) noexcept nogil:
    
    _fortran_ctpttr(uplo, n, <npy_complex64*>ap, <npy_complex64*>a, lda, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ctrcon "BLAS_FUNC(ctrcon)"(char *norm, char *uplo, char *diag, int *n, npy_complex64 *a, int *lda, s *rcond, npy_complex64 *work, s *rwork, int *info) nogil
cdef void ctrcon(char *norm, char *uplo, char *diag, int *n, c *a, int *lda, s *rcond, c *work, s *rwork, int *info) noexcept nogil:
    
    _fortran_ctrcon(norm, uplo, diag, n, <npy_complex64*>a, lda, rcond, <npy_complex64*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ctrevc "BLAS_FUNC(ctrevc)"(char *side, char *howmny, bint *select, int *n, npy_complex64 *t, int *ldt, npy_complex64 *vl, int *ldvl, npy_complex64 *vr, int *ldvr, int *mm, int *m, npy_complex64 *work, s *rwork, int *info) nogil
cdef void ctrevc(char *side, char *howmny, bint *select, int *n, c *t, int *ldt, c *vl, int *ldvl, c *vr, int *ldvr, int *mm, int *m, c *work, s *rwork, int *info) noexcept nogil:
    
    _fortran_ctrevc(side, howmny, select, n, <npy_complex64*>t, ldt, <npy_complex64*>vl, ldvl, <npy_complex64*>vr, ldvr, mm, m, <npy_complex64*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ctrexc "BLAS_FUNC(ctrexc)"(char *compq, int *n, npy_complex64 *t, int *ldt, npy_complex64 *q, int *ldq, int *ifst, int *ilst, int *info) nogil
cdef void ctrexc(char *compq, int *n, c *t, int *ldt, c *q, int *ldq, int *ifst, int *ilst, int *info) noexcept nogil:
    
    _fortran_ctrexc(compq, n, <npy_complex64*>t, ldt, <npy_complex64*>q, ldq, ifst, ilst, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ctrrfs "BLAS_FUNC(ctrrfs)"(char *uplo, char *trans, char *diag, int *n, int *nrhs, npy_complex64 *a, int *lda, npy_complex64 *b, int *ldb, npy_complex64 *x, int *ldx, s *ferr, s *berr, npy_complex64 *work, s *rwork, int *info) nogil
cdef void ctrrfs(char *uplo, char *trans, char *diag, int *n, int *nrhs, c *a, int *lda, c *b, int *ldb, c *x, int *ldx, s *ferr, s *berr, c *work, s *rwork, int *info) noexcept nogil:
    
    _fortran_ctrrfs(uplo, trans, diag, n, nrhs, <npy_complex64*>a, lda, <npy_complex64*>b, ldb, <npy_complex64*>x, ldx, ferr, berr, <npy_complex64*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ctrsen "BLAS_FUNC(ctrsen)"(char *job, char *compq, bint *select, int *n, npy_complex64 *t, int *ldt, npy_complex64 *q, int *ldq, npy_complex64 *w, int *m, s *s, s *sep, npy_complex64 *work, int *lwork, int *info) nogil
cdef void ctrsen(char *job, char *compq, bint *select, int *n, c *t, int *ldt, c *q, int *ldq, c *w, int *m, s *s, s *sep, c *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_ctrsen(job, compq, select, n, <npy_complex64*>t, ldt, <npy_complex64*>q, ldq, <npy_complex64*>w, m, s, sep, <npy_complex64*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ctrsna "BLAS_FUNC(ctrsna)"(char *job, char *howmny, bint *select, int *n, npy_complex64 *t, int *ldt, npy_complex64 *vl, int *ldvl, npy_complex64 *vr, int *ldvr, s *s, s *sep, int *mm, int *m, npy_complex64 *work, int *ldwork, s *rwork, int *info) nogil
cdef void ctrsna(char *job, char *howmny, bint *select, int *n, c *t, int *ldt, c *vl, int *ldvl, c *vr, int *ldvr, s *s, s *sep, int *mm, int *m, c *work, int *ldwork, s *rwork, int *info) noexcept nogil:
    
    _fortran_ctrsna(job, howmny, select, n, <npy_complex64*>t, ldt, <npy_complex64*>vl, ldvl, <npy_complex64*>vr, ldvr, s, sep, mm, m, <npy_complex64*>work, ldwork, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ctrsyl "BLAS_FUNC(ctrsyl)"(char *trana, char *tranb, int *isgn, int *m, int *n, npy_complex64 *a, int *lda, npy_complex64 *b, int *ldb, npy_complex64 *c, int *ldc, s *scale, int *info) nogil
cdef void ctrsyl(char *trana, char *tranb, int *isgn, int *m, int *n, c *a, int *lda, c *b, int *ldb, c *c, int *ldc, s *scale, int *info) noexcept nogil:
    
    _fortran_ctrsyl(trana, tranb, isgn, m, n, <npy_complex64*>a, lda, <npy_complex64*>b, ldb, <npy_complex64*>c, ldc, scale, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ctrti2 "BLAS_FUNC(ctrti2)"(char *uplo, char *diag, int *n, npy_complex64 *a, int *lda, int *info) nogil
cdef void ctrti2(char *uplo, char *diag, int *n, c *a, int *lda, int *info) noexcept nogil:
    
    _fortran_ctrti2(uplo, diag, n, <npy_complex64*>a, lda, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ctrtri "BLAS_FUNC(ctrtri)"(char *uplo, char *diag, int *n, npy_complex64 *a, int *lda, int *info) nogil
cdef void ctrtri(char *uplo, char *diag, int *n, c *a, int *lda, int *info) noexcept nogil:
    
    _fortran_ctrtri(uplo, diag, n, <npy_complex64*>a, lda, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ctrtrs "BLAS_FUNC(ctrtrs)"(char *uplo, char *trans, char *diag, int *n, int *nrhs, npy_complex64 *a, int *lda, npy_complex64 *b, int *ldb, int *info) nogil
cdef void ctrtrs(char *uplo, char *trans, char *diag, int *n, int *nrhs, c *a, int *lda, c *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_ctrtrs(uplo, trans, diag, n, nrhs, <npy_complex64*>a, lda, <npy_complex64*>b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ctrttf "BLAS_FUNC(ctrttf)"(char *transr, char *uplo, int *n, npy_complex64 *a, int *lda, npy_complex64 *arf, int *info) nogil
cdef void ctrttf(char *transr, char *uplo, int *n, c *a, int *lda, c *arf, int *info) noexcept nogil:
    
    _fortran_ctrttf(transr, uplo, n, <npy_complex64*>a, lda, <npy_complex64*>arf, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ctrttp "BLAS_FUNC(ctrttp)"(char *uplo, int *n, npy_complex64 *a, int *lda, npy_complex64 *ap, int *info) nogil
cdef void ctrttp(char *uplo, int *n, c *a, int *lda, c *ap, int *info) noexcept nogil:
    
    _fortran_ctrttp(uplo, n, <npy_complex64*>a, lda, <npy_complex64*>ap, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ctzrzf "BLAS_FUNC(ctzrzf)"(int *m, int *n, npy_complex64 *a, int *lda, npy_complex64 *tau, npy_complex64 *work, int *lwork, int *info) nogil
cdef void ctzrzf(int *m, int *n, c *a, int *lda, c *tau, c *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_ctzrzf(m, n, <npy_complex64*>a, lda, <npy_complex64*>tau, <npy_complex64*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cunbdb "BLAS_FUNC(cunbdb)"(char *trans, char *signs, int *m, int *p, int *q, npy_complex64 *x11, int *ldx11, npy_complex64 *x12, int *ldx12, npy_complex64 *x21, int *ldx21, npy_complex64 *x22, int *ldx22, s *theta, s *phi, npy_complex64 *taup1, npy_complex64 *taup2, npy_complex64 *tauq1, npy_complex64 *tauq2, npy_complex64 *work, int *lwork, int *info) nogil
cdef void cunbdb(char *trans, char *signs, int *m, int *p, int *q, c *x11, int *ldx11, c *x12, int *ldx12, c *x21, int *ldx21, c *x22, int *ldx22, s *theta, s *phi, c *taup1, c *taup2, c *tauq1, c *tauq2, c *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_cunbdb(trans, signs, m, p, q, <npy_complex64*>x11, ldx11, <npy_complex64*>x12, ldx12, <npy_complex64*>x21, ldx21, <npy_complex64*>x22, ldx22, theta, phi, <npy_complex64*>taup1, <npy_complex64*>taup2, <npy_complex64*>tauq1, <npy_complex64*>tauq2, <npy_complex64*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cuncsd "BLAS_FUNC(cuncsd)"(char *jobu1, char *jobu2, char *jobv1t, char *jobv2t, char *trans, char *signs, int *m, int *p, int *q, npy_complex64 *x11, int *ldx11, npy_complex64 *x12, int *ldx12, npy_complex64 *x21, int *ldx21, npy_complex64 *x22, int *ldx22, s *theta, npy_complex64 *u1, int *ldu1, npy_complex64 *u2, int *ldu2, npy_complex64 *v1t, int *ldv1t, npy_complex64 *v2t, int *ldv2t, npy_complex64 *work, int *lwork, s *rwork, int *lrwork, int *iwork, int *info) nogil
cdef void cuncsd(char *jobu1, char *jobu2, char *jobv1t, char *jobv2t, char *trans, char *signs, int *m, int *p, int *q, c *x11, int *ldx11, c *x12, int *ldx12, c *x21, int *ldx21, c *x22, int *ldx22, s *theta, c *u1, int *ldu1, c *u2, int *ldu2, c *v1t, int *ldv1t, c *v2t, int *ldv2t, c *work, int *lwork, s *rwork, int *lrwork, int *iwork, int *info) noexcept nogil:
    
    _fortran_cuncsd(jobu1, jobu2, jobv1t, jobv2t, trans, signs, m, p, q, <npy_complex64*>x11, ldx11, <npy_complex64*>x12, ldx12, <npy_complex64*>x21, ldx21, <npy_complex64*>x22, ldx22, theta, <npy_complex64*>u1, ldu1, <npy_complex64*>u2, ldu2, <npy_complex64*>v1t, ldv1t, <npy_complex64*>v2t, ldv2t, <npy_complex64*>work, lwork, rwork, lrwork, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cung2l "BLAS_FUNC(cung2l)"(int *m, int *n, int *k, npy_complex64 *a, int *lda, npy_complex64 *tau, npy_complex64 *work, int *info) nogil
cdef void cung2l(int *m, int *n, int *k, c *a, int *lda, c *tau, c *work, int *info) noexcept nogil:
    
    _fortran_cung2l(m, n, k, <npy_complex64*>a, lda, <npy_complex64*>tau, <npy_complex64*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cung2r "BLAS_FUNC(cung2r)"(int *m, int *n, int *k, npy_complex64 *a, int *lda, npy_complex64 *tau, npy_complex64 *work, int *info) nogil
cdef void cung2r(int *m, int *n, int *k, c *a, int *lda, c *tau, c *work, int *info) noexcept nogil:
    
    _fortran_cung2r(m, n, k, <npy_complex64*>a, lda, <npy_complex64*>tau, <npy_complex64*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cungbr "BLAS_FUNC(cungbr)"(char *vect, int *m, int *n, int *k, npy_complex64 *a, int *lda, npy_complex64 *tau, npy_complex64 *work, int *lwork, int *info) nogil
cdef void cungbr(char *vect, int *m, int *n, int *k, c *a, int *lda, c *tau, c *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_cungbr(vect, m, n, k, <npy_complex64*>a, lda, <npy_complex64*>tau, <npy_complex64*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cunghr "BLAS_FUNC(cunghr)"(int *n, int *ilo, int *ihi, npy_complex64 *a, int *lda, npy_complex64 *tau, npy_complex64 *work, int *lwork, int *info) nogil
cdef void cunghr(int *n, int *ilo, int *ihi, c *a, int *lda, c *tau, c *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_cunghr(n, ilo, ihi, <npy_complex64*>a, lda, <npy_complex64*>tau, <npy_complex64*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cungl2 "BLAS_FUNC(cungl2)"(int *m, int *n, int *k, npy_complex64 *a, int *lda, npy_complex64 *tau, npy_complex64 *work, int *info) nogil
cdef void cungl2(int *m, int *n, int *k, c *a, int *lda, c *tau, c *work, int *info) noexcept nogil:
    
    _fortran_cungl2(m, n, k, <npy_complex64*>a, lda, <npy_complex64*>tau, <npy_complex64*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cunglq "BLAS_FUNC(cunglq)"(int *m, int *n, int *k, npy_complex64 *a, int *lda, npy_complex64 *tau, npy_complex64 *work, int *lwork, int *info) nogil
cdef void cunglq(int *m, int *n, int *k, c *a, int *lda, c *tau, c *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_cunglq(m, n, k, <npy_complex64*>a, lda, <npy_complex64*>tau, <npy_complex64*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cungql "BLAS_FUNC(cungql)"(int *m, int *n, int *k, npy_complex64 *a, int *lda, npy_complex64 *tau, npy_complex64 *work, int *lwork, int *info) nogil
cdef void cungql(int *m, int *n, int *k, c *a, int *lda, c *tau, c *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_cungql(m, n, k, <npy_complex64*>a, lda, <npy_complex64*>tau, <npy_complex64*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cungqr "BLAS_FUNC(cungqr)"(int *m, int *n, int *k, npy_complex64 *a, int *lda, npy_complex64 *tau, npy_complex64 *work, int *lwork, int *info) nogil
cdef void cungqr(int *m, int *n, int *k, c *a, int *lda, c *tau, c *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_cungqr(m, n, k, <npy_complex64*>a, lda, <npy_complex64*>tau, <npy_complex64*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cungr2 "BLAS_FUNC(cungr2)"(int *m, int *n, int *k, npy_complex64 *a, int *lda, npy_complex64 *tau, npy_complex64 *work, int *info) nogil
cdef void cungr2(int *m, int *n, int *k, c *a, int *lda, c *tau, c *work, int *info) noexcept nogil:
    
    _fortran_cungr2(m, n, k, <npy_complex64*>a, lda, <npy_complex64*>tau, <npy_complex64*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cungrq "BLAS_FUNC(cungrq)"(int *m, int *n, int *k, npy_complex64 *a, int *lda, npy_complex64 *tau, npy_complex64 *work, int *lwork, int *info) nogil
cdef void cungrq(int *m, int *n, int *k, c *a, int *lda, c *tau, c *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_cungrq(m, n, k, <npy_complex64*>a, lda, <npy_complex64*>tau, <npy_complex64*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cungtr "BLAS_FUNC(cungtr)"(char *uplo, int *n, npy_complex64 *a, int *lda, npy_complex64 *tau, npy_complex64 *work, int *lwork, int *info) nogil
cdef void cungtr(char *uplo, int *n, c *a, int *lda, c *tau, c *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_cungtr(uplo, n, <npy_complex64*>a, lda, <npy_complex64*>tau, <npy_complex64*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cunm2l "BLAS_FUNC(cunm2l)"(char *side, char *trans, int *m, int *n, int *k, npy_complex64 *a, int *lda, npy_complex64 *tau, npy_complex64 *c, int *ldc, npy_complex64 *work, int *info) nogil
cdef void cunm2l(char *side, char *trans, int *m, int *n, int *k, c *a, int *lda, c *tau, c *c, int *ldc, c *work, int *info) noexcept nogil:
    
    _fortran_cunm2l(side, trans, m, n, k, <npy_complex64*>a, lda, <npy_complex64*>tau, <npy_complex64*>c, ldc, <npy_complex64*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cunm2r "BLAS_FUNC(cunm2r)"(char *side, char *trans, int *m, int *n, int *k, npy_complex64 *a, int *lda, npy_complex64 *tau, npy_complex64 *c, int *ldc, npy_complex64 *work, int *info) nogil
cdef void cunm2r(char *side, char *trans, int *m, int *n, int *k, c *a, int *lda, c *tau, c *c, int *ldc, c *work, int *info) noexcept nogil:
    
    _fortran_cunm2r(side, trans, m, n, k, <npy_complex64*>a, lda, <npy_complex64*>tau, <npy_complex64*>c, ldc, <npy_complex64*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cunmbr "BLAS_FUNC(cunmbr)"(char *vect, char *side, char *trans, int *m, int *n, int *k, npy_complex64 *a, int *lda, npy_complex64 *tau, npy_complex64 *c, int *ldc, npy_complex64 *work, int *lwork, int *info) nogil
cdef void cunmbr(char *vect, char *side, char *trans, int *m, int *n, int *k, c *a, int *lda, c *tau, c *c, int *ldc, c *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_cunmbr(vect, side, trans, m, n, k, <npy_complex64*>a, lda, <npy_complex64*>tau, <npy_complex64*>c, ldc, <npy_complex64*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cunmhr "BLAS_FUNC(cunmhr)"(char *side, char *trans, int *m, int *n, int *ilo, int *ihi, npy_complex64 *a, int *lda, npy_complex64 *tau, npy_complex64 *c, int *ldc, npy_complex64 *work, int *lwork, int *info) nogil
cdef void cunmhr(char *side, char *trans, int *m, int *n, int *ilo, int *ihi, c *a, int *lda, c *tau, c *c, int *ldc, c *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_cunmhr(side, trans, m, n, ilo, ihi, <npy_complex64*>a, lda, <npy_complex64*>tau, <npy_complex64*>c, ldc, <npy_complex64*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cunml2 "BLAS_FUNC(cunml2)"(char *side, char *trans, int *m, int *n, int *k, npy_complex64 *a, int *lda, npy_complex64 *tau, npy_complex64 *c, int *ldc, npy_complex64 *work, int *info) nogil
cdef void cunml2(char *side, char *trans, int *m, int *n, int *k, c *a, int *lda, c *tau, c *c, int *ldc, c *work, int *info) noexcept nogil:
    
    _fortran_cunml2(side, trans, m, n, k, <npy_complex64*>a, lda, <npy_complex64*>tau, <npy_complex64*>c, ldc, <npy_complex64*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cunmlq "BLAS_FUNC(cunmlq)"(char *side, char *trans, int *m, int *n, int *k, npy_complex64 *a, int *lda, npy_complex64 *tau, npy_complex64 *c, int *ldc, npy_complex64 *work, int *lwork, int *info) nogil
cdef void cunmlq(char *side, char *trans, int *m, int *n, int *k, c *a, int *lda, c *tau, c *c, int *ldc, c *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_cunmlq(side, trans, m, n, k, <npy_complex64*>a, lda, <npy_complex64*>tau, <npy_complex64*>c, ldc, <npy_complex64*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cunmql "BLAS_FUNC(cunmql)"(char *side, char *trans, int *m, int *n, int *k, npy_complex64 *a, int *lda, npy_complex64 *tau, npy_complex64 *c, int *ldc, npy_complex64 *work, int *lwork, int *info) nogil
cdef void cunmql(char *side, char *trans, int *m, int *n, int *k, c *a, int *lda, c *tau, c *c, int *ldc, c *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_cunmql(side, trans, m, n, k, <npy_complex64*>a, lda, <npy_complex64*>tau, <npy_complex64*>c, ldc, <npy_complex64*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cunmqr "BLAS_FUNC(cunmqr)"(char *side, char *trans, int *m, int *n, int *k, npy_complex64 *a, int *lda, npy_complex64 *tau, npy_complex64 *c, int *ldc, npy_complex64 *work, int *lwork, int *info) nogil
cdef void cunmqr(char *side, char *trans, int *m, int *n, int *k, c *a, int *lda, c *tau, c *c, int *ldc, c *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_cunmqr(side, trans, m, n, k, <npy_complex64*>a, lda, <npy_complex64*>tau, <npy_complex64*>c, ldc, <npy_complex64*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cunmr2 "BLAS_FUNC(cunmr2)"(char *side, char *trans, int *m, int *n, int *k, npy_complex64 *a, int *lda, npy_complex64 *tau, npy_complex64 *c, int *ldc, npy_complex64 *work, int *info) nogil
cdef void cunmr2(char *side, char *trans, int *m, int *n, int *k, c *a, int *lda, c *tau, c *c, int *ldc, c *work, int *info) noexcept nogil:
    
    _fortran_cunmr2(side, trans, m, n, k, <npy_complex64*>a, lda, <npy_complex64*>tau, <npy_complex64*>c, ldc, <npy_complex64*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cunmr3 "BLAS_FUNC(cunmr3)"(char *side, char *trans, int *m, int *n, int *k, int *l, npy_complex64 *a, int *lda, npy_complex64 *tau, npy_complex64 *c, int *ldc, npy_complex64 *work, int *info) nogil
cdef void cunmr3(char *side, char *trans, int *m, int *n, int *k, int *l, c *a, int *lda, c *tau, c *c, int *ldc, c *work, int *info) noexcept nogil:
    
    _fortran_cunmr3(side, trans, m, n, k, l, <npy_complex64*>a, lda, <npy_complex64*>tau, <npy_complex64*>c, ldc, <npy_complex64*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cunmrq "BLAS_FUNC(cunmrq)"(char *side, char *trans, int *m, int *n, int *k, npy_complex64 *a, int *lda, npy_complex64 *tau, npy_complex64 *c, int *ldc, npy_complex64 *work, int *lwork, int *info) nogil
cdef void cunmrq(char *side, char *trans, int *m, int *n, int *k, c *a, int *lda, c *tau, c *c, int *ldc, c *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_cunmrq(side, trans, m, n, k, <npy_complex64*>a, lda, <npy_complex64*>tau, <npy_complex64*>c, ldc, <npy_complex64*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cunmrz "BLAS_FUNC(cunmrz)"(char *side, char *trans, int *m, int *n, int *k, int *l, npy_complex64 *a, int *lda, npy_complex64 *tau, npy_complex64 *c, int *ldc, npy_complex64 *work, int *lwork, int *info) nogil
cdef void cunmrz(char *side, char *trans, int *m, int *n, int *k, int *l, c *a, int *lda, c *tau, c *c, int *ldc, c *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_cunmrz(side, trans, m, n, k, l, <npy_complex64*>a, lda, <npy_complex64*>tau, <npy_complex64*>c, ldc, <npy_complex64*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cunmtr "BLAS_FUNC(cunmtr)"(char *side, char *uplo, char *trans, int *m, int *n, npy_complex64 *a, int *lda, npy_complex64 *tau, npy_complex64 *c, int *ldc, npy_complex64 *work, int *lwork, int *info) nogil
cdef void cunmtr(char *side, char *uplo, char *trans, int *m, int *n, c *a, int *lda, c *tau, c *c, int *ldc, c *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_cunmtr(side, uplo, trans, m, n, <npy_complex64*>a, lda, <npy_complex64*>tau, <npy_complex64*>c, ldc, <npy_complex64*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cupgtr "BLAS_FUNC(cupgtr)"(char *uplo, int *n, npy_complex64 *ap, npy_complex64 *tau, npy_complex64 *q, int *ldq, npy_complex64 *work, int *info) nogil
cdef void cupgtr(char *uplo, int *n, c *ap, c *tau, c *q, int *ldq, c *work, int *info) noexcept nogil:
    
    _fortran_cupgtr(uplo, n, <npy_complex64*>ap, <npy_complex64*>tau, <npy_complex64*>q, ldq, <npy_complex64*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_cupmtr "BLAS_FUNC(cupmtr)"(char *side, char *uplo, char *trans, int *m, int *n, npy_complex64 *ap, npy_complex64 *tau, npy_complex64 *c, int *ldc, npy_complex64 *work, int *info) nogil
cdef void cupmtr(char *side, char *uplo, char *trans, int *m, int *n, c *ap, c *tau, c *c, int *ldc, c *work, int *info) noexcept nogil:
    
    _fortran_cupmtr(side, uplo, trans, m, n, <npy_complex64*>ap, <npy_complex64*>tau, <npy_complex64*>c, ldc, <npy_complex64*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dbbcsd "BLAS_FUNC(dbbcsd)"(char *jobu1, char *jobu2, char *jobv1t, char *jobv2t, char *trans, int *m, int *p, int *q, d *theta, d *phi, d *u1, int *ldu1, d *u2, int *ldu2, d *v1t, int *ldv1t, d *v2t, int *ldv2t, d *b11d, d *b11e, d *b12d, d *b12e, d *b21d, d *b21e, d *b22d, d *b22e, d *work, int *lwork, int *info) nogil
cdef void dbbcsd(char *jobu1, char *jobu2, char *jobv1t, char *jobv2t, char *trans, int *m, int *p, int *q, d *theta, d *phi, d *u1, int *ldu1, d *u2, int *ldu2, d *v1t, int *ldv1t, d *v2t, int *ldv2t, d *b11d, d *b11e, d *b12d, d *b12e, d *b21d, d *b21e, d *b22d, d *b22e, d *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_dbbcsd(jobu1, jobu2, jobv1t, jobv2t, trans, m, p, q, theta, phi, u1, ldu1, u2, ldu2, v1t, ldv1t, v2t, ldv2t, b11d, b11e, b12d, b12e, b21d, b21e, b22d, b22e, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dbdsdc "BLAS_FUNC(dbdsdc)"(char *uplo, char *compq, int *n, d *d, d *e, d *u, int *ldu, d *vt, int *ldvt, d *q, int *iq, d *work, int *iwork, int *info) nogil
cdef void dbdsdc(char *uplo, char *compq, int *n, d *d, d *e, d *u, int *ldu, d *vt, int *ldvt, d *q, int *iq, d *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_dbdsdc(uplo, compq, n, d, e, u, ldu, vt, ldvt, q, iq, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dbdsqr "BLAS_FUNC(dbdsqr)"(char *uplo, int *n, int *ncvt, int *nru, int *ncc, d *d, d *e, d *vt, int *ldvt, d *u, int *ldu, d *c, int *ldc, d *work, int *info) nogil
cdef void dbdsqr(char *uplo, int *n, int *ncvt, int *nru, int *ncc, d *d, d *e, d *vt, int *ldvt, d *u, int *ldu, d *c, int *ldc, d *work, int *info) noexcept nogil:
    
    _fortran_dbdsqr(uplo, n, ncvt, nru, ncc, d, e, vt, ldvt, u, ldu, c, ldc, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ddisna "BLAS_FUNC(ddisna)"(char *job, int *m, int *n, d *d, d *sep, int *info) nogil
cdef void ddisna(char *job, int *m, int *n, d *d, d *sep, int *info) noexcept nogil:
    
    _fortran_ddisna(job, m, n, d, sep, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dgbbrd "BLAS_FUNC(dgbbrd)"(char *vect, int *m, int *n, int *ncc, int *kl, int *ku, d *ab, int *ldab, d *d, d *e, d *q, int *ldq, d *pt, int *ldpt, d *c, int *ldc, d *work, int *info) nogil
cdef void dgbbrd(char *vect, int *m, int *n, int *ncc, int *kl, int *ku, d *ab, int *ldab, d *d, d *e, d *q, int *ldq, d *pt, int *ldpt, d *c, int *ldc, d *work, int *info) noexcept nogil:
    
    _fortran_dgbbrd(vect, m, n, ncc, kl, ku, ab, ldab, d, e, q, ldq, pt, ldpt, c, ldc, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dgbcon "BLAS_FUNC(dgbcon)"(char *norm, int *n, int *kl, int *ku, d *ab, int *ldab, int *ipiv, d *anorm, d *rcond, d *work, int *iwork, int *info) nogil
cdef void dgbcon(char *norm, int *n, int *kl, int *ku, d *ab, int *ldab, int *ipiv, d *anorm, d *rcond, d *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_dgbcon(norm, n, kl, ku, ab, ldab, ipiv, anorm, rcond, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dgbequ "BLAS_FUNC(dgbequ)"(int *m, int *n, int *kl, int *ku, d *ab, int *ldab, d *r, d *c, d *rowcnd, d *colcnd, d *amax, int *info) nogil
cdef void dgbequ(int *m, int *n, int *kl, int *ku, d *ab, int *ldab, d *r, d *c, d *rowcnd, d *colcnd, d *amax, int *info) noexcept nogil:
    
    _fortran_dgbequ(m, n, kl, ku, ab, ldab, r, c, rowcnd, colcnd, amax, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dgbequb "BLAS_FUNC(dgbequb)"(int *m, int *n, int *kl, int *ku, d *ab, int *ldab, d *r, d *c, d *rowcnd, d *colcnd, d *amax, int *info) nogil
cdef void dgbequb(int *m, int *n, int *kl, int *ku, d *ab, int *ldab, d *r, d *c, d *rowcnd, d *colcnd, d *amax, int *info) noexcept nogil:
    
    _fortran_dgbequb(m, n, kl, ku, ab, ldab, r, c, rowcnd, colcnd, amax, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dgbrfs "BLAS_FUNC(dgbrfs)"(char *trans, int *n, int *kl, int *ku, int *nrhs, d *ab, int *ldab, d *afb, int *ldafb, int *ipiv, d *b, int *ldb, d *x, int *ldx, d *ferr, d *berr, d *work, int *iwork, int *info) nogil
cdef void dgbrfs(char *trans, int *n, int *kl, int *ku, int *nrhs, d *ab, int *ldab, d *afb, int *ldafb, int *ipiv, d *b, int *ldb, d *x, int *ldx, d *ferr, d *berr, d *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_dgbrfs(trans, n, kl, ku, nrhs, ab, ldab, afb, ldafb, ipiv, b, ldb, x, ldx, ferr, berr, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dgbsv "BLAS_FUNC(dgbsv)"(int *n, int *kl, int *ku, int *nrhs, d *ab, int *ldab, int *ipiv, d *b, int *ldb, int *info) nogil
cdef void dgbsv(int *n, int *kl, int *ku, int *nrhs, d *ab, int *ldab, int *ipiv, d *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_dgbsv(n, kl, ku, nrhs, ab, ldab, ipiv, b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dgbsvx "BLAS_FUNC(dgbsvx)"(char *fact, char *trans, int *n, int *kl, int *ku, int *nrhs, d *ab, int *ldab, d *afb, int *ldafb, int *ipiv, char *equed, d *r, d *c, d *b, int *ldb, d *x, int *ldx, d *rcond, d *ferr, d *berr, d *work, int *iwork, int *info) nogil
cdef void dgbsvx(char *fact, char *trans, int *n, int *kl, int *ku, int *nrhs, d *ab, int *ldab, d *afb, int *ldafb, int *ipiv, char *equed, d *r, d *c, d *b, int *ldb, d *x, int *ldx, d *rcond, d *ferr, d *berr, d *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_dgbsvx(fact, trans, n, kl, ku, nrhs, ab, ldab, afb, ldafb, ipiv, equed, r, c, b, ldb, x, ldx, rcond, ferr, berr, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dgbtf2 "BLAS_FUNC(dgbtf2)"(int *m, int *n, int *kl, int *ku, d *ab, int *ldab, int *ipiv, int *info) nogil
cdef void dgbtf2(int *m, int *n, int *kl, int *ku, d *ab, int *ldab, int *ipiv, int *info) noexcept nogil:
    
    _fortran_dgbtf2(m, n, kl, ku, ab, ldab, ipiv, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dgbtrf "BLAS_FUNC(dgbtrf)"(int *m, int *n, int *kl, int *ku, d *ab, int *ldab, int *ipiv, int *info) nogil
cdef void dgbtrf(int *m, int *n, int *kl, int *ku, d *ab, int *ldab, int *ipiv, int *info) noexcept nogil:
    
    _fortran_dgbtrf(m, n, kl, ku, ab, ldab, ipiv, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dgbtrs "BLAS_FUNC(dgbtrs)"(char *trans, int *n, int *kl, int *ku, int *nrhs, d *ab, int *ldab, int *ipiv, d *b, int *ldb, int *info) nogil
cdef void dgbtrs(char *trans, int *n, int *kl, int *ku, int *nrhs, d *ab, int *ldab, int *ipiv, d *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_dgbtrs(trans, n, kl, ku, nrhs, ab, ldab, ipiv, b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dgebak "BLAS_FUNC(dgebak)"(char *job, char *side, int *n, int *ilo, int *ihi, d *scale, int *m, d *v, int *ldv, int *info) nogil
cdef void dgebak(char *job, char *side, int *n, int *ilo, int *ihi, d *scale, int *m, d *v, int *ldv, int *info) noexcept nogil:
    
    _fortran_dgebak(job, side, n, ilo, ihi, scale, m, v, ldv, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dgebal "BLAS_FUNC(dgebal)"(char *job, int *n, d *a, int *lda, int *ilo, int *ihi, d *scale, int *info) nogil
cdef void dgebal(char *job, int *n, d *a, int *lda, int *ilo, int *ihi, d *scale, int *info) noexcept nogil:
    
    _fortran_dgebal(job, n, a, lda, ilo, ihi, scale, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dgebd2 "BLAS_FUNC(dgebd2)"(int *m, int *n, d *a, int *lda, d *d, d *e, d *tauq, d *taup, d *work, int *info) nogil
cdef void dgebd2(int *m, int *n, d *a, int *lda, d *d, d *e, d *tauq, d *taup, d *work, int *info) noexcept nogil:
    
    _fortran_dgebd2(m, n, a, lda, d, e, tauq, taup, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dgebrd "BLAS_FUNC(dgebrd)"(int *m, int *n, d *a, int *lda, d *d, d *e, d *tauq, d *taup, d *work, int *lwork, int *info) nogil
cdef void dgebrd(int *m, int *n, d *a, int *lda, d *d, d *e, d *tauq, d *taup, d *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_dgebrd(m, n, a, lda, d, e, tauq, taup, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dgecon "BLAS_FUNC(dgecon)"(char *norm, int *n, d *a, int *lda, d *anorm, d *rcond, d *work, int *iwork, int *info) nogil
cdef void dgecon(char *norm, int *n, d *a, int *lda, d *anorm, d *rcond, d *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_dgecon(norm, n, a, lda, anorm, rcond, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dgeequ "BLAS_FUNC(dgeequ)"(int *m, int *n, d *a, int *lda, d *r, d *c, d *rowcnd, d *colcnd, d *amax, int *info) nogil
cdef void dgeequ(int *m, int *n, d *a, int *lda, d *r, d *c, d *rowcnd, d *colcnd, d *amax, int *info) noexcept nogil:
    
    _fortran_dgeequ(m, n, a, lda, r, c, rowcnd, colcnd, amax, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dgeequb "BLAS_FUNC(dgeequb)"(int *m, int *n, d *a, int *lda, d *r, d *c, d *rowcnd, d *colcnd, d *amax, int *info) nogil
cdef void dgeequb(int *m, int *n, d *a, int *lda, d *r, d *c, d *rowcnd, d *colcnd, d *amax, int *info) noexcept nogil:
    
    _fortran_dgeequb(m, n, a, lda, r, c, rowcnd, colcnd, amax, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dgees "BLAS_FUNC(dgees)"(char *jobvs, char *sort, _dselect2 *select, int *n, d *a, int *lda, int *sdim, d *wr, d *wi, d *vs, int *ldvs, d *work, int *lwork, bint *bwork, int *info) nogil
cdef void dgees(char *jobvs, char *sort, dselect2 *select, int *n, d *a, int *lda, int *sdim, d *wr, d *wi, d *vs, int *ldvs, d *work, int *lwork, bint *bwork, int *info) noexcept nogil:
    
    _fortran_dgees(jobvs, sort, <_dselect2*>select, n, a, lda, sdim, wr, wi, vs, ldvs, work, lwork, bwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dgeesx "BLAS_FUNC(dgeesx)"(char *jobvs, char *sort, _dselect2 *select, char *sense, int *n, d *a, int *lda, int *sdim, d *wr, d *wi, d *vs, int *ldvs, d *rconde, d *rcondv, d *work, int *lwork, int *iwork, int *liwork, bint *bwork, int *info) nogil
cdef void dgeesx(char *jobvs, char *sort, dselect2 *select, char *sense, int *n, d *a, int *lda, int *sdim, d *wr, d *wi, d *vs, int *ldvs, d *rconde, d *rcondv, d *work, int *lwork, int *iwork, int *liwork, bint *bwork, int *info) noexcept nogil:
    
    _fortran_dgeesx(jobvs, sort, <_dselect2*>select, sense, n, a, lda, sdim, wr, wi, vs, ldvs, rconde, rcondv, work, lwork, iwork, liwork, bwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dgeev "BLAS_FUNC(dgeev)"(char *jobvl, char *jobvr, int *n, d *a, int *lda, d *wr, d *wi, d *vl, int *ldvl, d *vr, int *ldvr, d *work, int *lwork, int *info) nogil
cdef void dgeev(char *jobvl, char *jobvr, int *n, d *a, int *lda, d *wr, d *wi, d *vl, int *ldvl, d *vr, int *ldvr, d *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_dgeev(jobvl, jobvr, n, a, lda, wr, wi, vl, ldvl, vr, ldvr, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dgeevx "BLAS_FUNC(dgeevx)"(char *balanc, char *jobvl, char *jobvr, char *sense, int *n, d *a, int *lda, d *wr, d *wi, d *vl, int *ldvl, d *vr, int *ldvr, int *ilo, int *ihi, d *scale, d *abnrm, d *rconde, d *rcondv, d *work, int *lwork, int *iwork, int *info) nogil
cdef void dgeevx(char *balanc, char *jobvl, char *jobvr, char *sense, int *n, d *a, int *lda, d *wr, d *wi, d *vl, int *ldvl, d *vr, int *ldvr, int *ilo, int *ihi, d *scale, d *abnrm, d *rconde, d *rcondv, d *work, int *lwork, int *iwork, int *info) noexcept nogil:
    
    _fortran_dgeevx(balanc, jobvl, jobvr, sense, n, a, lda, wr, wi, vl, ldvl, vr, ldvr, ilo, ihi, scale, abnrm, rconde, rcondv, work, lwork, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dgehd2 "BLAS_FUNC(dgehd2)"(int *n, int *ilo, int *ihi, d *a, int *lda, d *tau, d *work, int *info) nogil
cdef void dgehd2(int *n, int *ilo, int *ihi, d *a, int *lda, d *tau, d *work, int *info) noexcept nogil:
    
    _fortran_dgehd2(n, ilo, ihi, a, lda, tau, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dgehrd "BLAS_FUNC(dgehrd)"(int *n, int *ilo, int *ihi, d *a, int *lda, d *tau, d *work, int *lwork, int *info) nogil
cdef void dgehrd(int *n, int *ilo, int *ihi, d *a, int *lda, d *tau, d *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_dgehrd(n, ilo, ihi, a, lda, tau, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dgejsv "BLAS_FUNC(dgejsv)"(char *joba, char *jobu, char *jobv, char *jobr, char *jobt, char *jobp, int *m, int *n, d *a, int *lda, d *sva, d *u, int *ldu, d *v, int *ldv, d *work, int *lwork, int *iwork, int *info) nogil
cdef void dgejsv(char *joba, char *jobu, char *jobv, char *jobr, char *jobt, char *jobp, int *m, int *n, d *a, int *lda, d *sva, d *u, int *ldu, d *v, int *ldv, d *work, int *lwork, int *iwork, int *info) noexcept nogil:
    
    _fortran_dgejsv(joba, jobu, jobv, jobr, jobt, jobp, m, n, a, lda, sva, u, ldu, v, ldv, work, lwork, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dgelq2 "BLAS_FUNC(dgelq2)"(int *m, int *n, d *a, int *lda, d *tau, d *work, int *info) nogil
cdef void dgelq2(int *m, int *n, d *a, int *lda, d *tau, d *work, int *info) noexcept nogil:
    
    _fortran_dgelq2(m, n, a, lda, tau, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dgelqf "BLAS_FUNC(dgelqf)"(int *m, int *n, d *a, int *lda, d *tau, d *work, int *lwork, int *info) nogil
cdef void dgelqf(int *m, int *n, d *a, int *lda, d *tau, d *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_dgelqf(m, n, a, lda, tau, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dgels "BLAS_FUNC(dgels)"(char *trans, int *m, int *n, int *nrhs, d *a, int *lda, d *b, int *ldb, d *work, int *lwork, int *info) nogil
cdef void dgels(char *trans, int *m, int *n, int *nrhs, d *a, int *lda, d *b, int *ldb, d *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_dgels(trans, m, n, nrhs, a, lda, b, ldb, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dgelsd "BLAS_FUNC(dgelsd)"(int *m, int *n, int *nrhs, d *a, int *lda, d *b, int *ldb, d *s, d *rcond, int *rank, d *work, int *lwork, int *iwork, int *info) nogil
cdef void dgelsd(int *m, int *n, int *nrhs, d *a, int *lda, d *b, int *ldb, d *s, d *rcond, int *rank, d *work, int *lwork, int *iwork, int *info) noexcept nogil:
    
    _fortran_dgelsd(m, n, nrhs, a, lda, b, ldb, s, rcond, rank, work, lwork, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dgelss "BLAS_FUNC(dgelss)"(int *m, int *n, int *nrhs, d *a, int *lda, d *b, int *ldb, d *s, d *rcond, int *rank, d *work, int *lwork, int *info) nogil
cdef void dgelss(int *m, int *n, int *nrhs, d *a, int *lda, d *b, int *ldb, d *s, d *rcond, int *rank, d *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_dgelss(m, n, nrhs, a, lda, b, ldb, s, rcond, rank, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dgelsy "BLAS_FUNC(dgelsy)"(int *m, int *n, int *nrhs, d *a, int *lda, d *b, int *ldb, int *jpvt, d *rcond, int *rank, d *work, int *lwork, int *info) nogil
cdef void dgelsy(int *m, int *n, int *nrhs, d *a, int *lda, d *b, int *ldb, int *jpvt, d *rcond, int *rank, d *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_dgelsy(m, n, nrhs, a, lda, b, ldb, jpvt, rcond, rank, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dgemqrt "BLAS_FUNC(dgemqrt)"(char *side, char *trans, int *m, int *n, int *k, int *nb, d *v, int *ldv, d *t, int *ldt, d *c, int *ldc, d *work, int *info) nogil
cdef void dgemqrt(char *side, char *trans, int *m, int *n, int *k, int *nb, d *v, int *ldv, d *t, int *ldt, d *c, int *ldc, d *work, int *info) noexcept nogil:
    
    _fortran_dgemqrt(side, trans, m, n, k, nb, v, ldv, t, ldt, c, ldc, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dgeql2 "BLAS_FUNC(dgeql2)"(int *m, int *n, d *a, int *lda, d *tau, d *work, int *info) nogil
cdef void dgeql2(int *m, int *n, d *a, int *lda, d *tau, d *work, int *info) noexcept nogil:
    
    _fortran_dgeql2(m, n, a, lda, tau, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dgeqlf "BLAS_FUNC(dgeqlf)"(int *m, int *n, d *a, int *lda, d *tau, d *work, int *lwork, int *info) nogil
cdef void dgeqlf(int *m, int *n, d *a, int *lda, d *tau, d *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_dgeqlf(m, n, a, lda, tau, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dgeqp3 "BLAS_FUNC(dgeqp3)"(int *m, int *n, d *a, int *lda, int *jpvt, d *tau, d *work, int *lwork, int *info) nogil
cdef void dgeqp3(int *m, int *n, d *a, int *lda, int *jpvt, d *tau, d *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_dgeqp3(m, n, a, lda, jpvt, tau, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dgeqr2 "BLAS_FUNC(dgeqr2)"(int *m, int *n, d *a, int *lda, d *tau, d *work, int *info) nogil
cdef void dgeqr2(int *m, int *n, d *a, int *lda, d *tau, d *work, int *info) noexcept nogil:
    
    _fortran_dgeqr2(m, n, a, lda, tau, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dgeqr2p "BLAS_FUNC(dgeqr2p)"(int *m, int *n, d *a, int *lda, d *tau, d *work, int *info) nogil
cdef void dgeqr2p(int *m, int *n, d *a, int *lda, d *tau, d *work, int *info) noexcept nogil:
    
    _fortran_dgeqr2p(m, n, a, lda, tau, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dgeqrf "BLAS_FUNC(dgeqrf)"(int *m, int *n, d *a, int *lda, d *tau, d *work, int *lwork, int *info) nogil
cdef void dgeqrf(int *m, int *n, d *a, int *lda, d *tau, d *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_dgeqrf(m, n, a, lda, tau, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dgeqrfp "BLAS_FUNC(dgeqrfp)"(int *m, int *n, d *a, int *lda, d *tau, d *work, int *lwork, int *info) nogil
cdef void dgeqrfp(int *m, int *n, d *a, int *lda, d *tau, d *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_dgeqrfp(m, n, a, lda, tau, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dgeqrt "BLAS_FUNC(dgeqrt)"(int *m, int *n, int *nb, d *a, int *lda, d *t, int *ldt, d *work, int *info) nogil
cdef void dgeqrt(int *m, int *n, int *nb, d *a, int *lda, d *t, int *ldt, d *work, int *info) noexcept nogil:
    
    _fortran_dgeqrt(m, n, nb, a, lda, t, ldt, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dgeqrt2 "BLAS_FUNC(dgeqrt2)"(int *m, int *n, d *a, int *lda, d *t, int *ldt, int *info) nogil
cdef void dgeqrt2(int *m, int *n, d *a, int *lda, d *t, int *ldt, int *info) noexcept nogil:
    
    _fortran_dgeqrt2(m, n, a, lda, t, ldt, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dgeqrt3 "BLAS_FUNC(dgeqrt3)"(int *m, int *n, d *a, int *lda, d *t, int *ldt, int *info) nogil
cdef void dgeqrt3(int *m, int *n, d *a, int *lda, d *t, int *ldt, int *info) noexcept nogil:
    
    _fortran_dgeqrt3(m, n, a, lda, t, ldt, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dgerfs "BLAS_FUNC(dgerfs)"(char *trans, int *n, int *nrhs, d *a, int *lda, d *af, int *ldaf, int *ipiv, d *b, int *ldb, d *x, int *ldx, d *ferr, d *berr, d *work, int *iwork, int *info) nogil
cdef void dgerfs(char *trans, int *n, int *nrhs, d *a, int *lda, d *af, int *ldaf, int *ipiv, d *b, int *ldb, d *x, int *ldx, d *ferr, d *berr, d *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_dgerfs(trans, n, nrhs, a, lda, af, ldaf, ipiv, b, ldb, x, ldx, ferr, berr, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dgerq2 "BLAS_FUNC(dgerq2)"(int *m, int *n, d *a, int *lda, d *tau, d *work, int *info) nogil
cdef void dgerq2(int *m, int *n, d *a, int *lda, d *tau, d *work, int *info) noexcept nogil:
    
    _fortran_dgerq2(m, n, a, lda, tau, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dgerqf "BLAS_FUNC(dgerqf)"(int *m, int *n, d *a, int *lda, d *tau, d *work, int *lwork, int *info) nogil
cdef void dgerqf(int *m, int *n, d *a, int *lda, d *tau, d *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_dgerqf(m, n, a, lda, tau, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dgesc2 "BLAS_FUNC(dgesc2)"(int *n, d *a, int *lda, d *rhs, int *ipiv, int *jpiv, d *scale) nogil
cdef void dgesc2(int *n, d *a, int *lda, d *rhs, int *ipiv, int *jpiv, d *scale) noexcept nogil:
    
    _fortran_dgesc2(n, a, lda, rhs, ipiv, jpiv, scale)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dgesdd "BLAS_FUNC(dgesdd)"(char *jobz, int *m, int *n, d *a, int *lda, d *s, d *u, int *ldu, d *vt, int *ldvt, d *work, int *lwork, int *iwork, int *info) nogil
cdef void dgesdd(char *jobz, int *m, int *n, d *a, int *lda, d *s, d *u, int *ldu, d *vt, int *ldvt, d *work, int *lwork, int *iwork, int *info) noexcept nogil:
    
    _fortran_dgesdd(jobz, m, n, a, lda, s, u, ldu, vt, ldvt, work, lwork, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dgesv "BLAS_FUNC(dgesv)"(int *n, int *nrhs, d *a, int *lda, int *ipiv, d *b, int *ldb, int *info) nogil
cdef void dgesv(int *n, int *nrhs, d *a, int *lda, int *ipiv, d *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_dgesv(n, nrhs, a, lda, ipiv, b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dgesvd "BLAS_FUNC(dgesvd)"(char *jobu, char *jobvt, int *m, int *n, d *a, int *lda, d *s, d *u, int *ldu, d *vt, int *ldvt, d *work, int *lwork, int *info) nogil
cdef void dgesvd(char *jobu, char *jobvt, int *m, int *n, d *a, int *lda, d *s, d *u, int *ldu, d *vt, int *ldvt, d *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_dgesvd(jobu, jobvt, m, n, a, lda, s, u, ldu, vt, ldvt, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dgesvj "BLAS_FUNC(dgesvj)"(char *joba, char *jobu, char *jobv, int *m, int *n, d *a, int *lda, d *sva, int *mv, d *v, int *ldv, d *work, int *lwork, int *info) nogil
cdef void dgesvj(char *joba, char *jobu, char *jobv, int *m, int *n, d *a, int *lda, d *sva, int *mv, d *v, int *ldv, d *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_dgesvj(joba, jobu, jobv, m, n, a, lda, sva, mv, v, ldv, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dgesvx "BLAS_FUNC(dgesvx)"(char *fact, char *trans, int *n, int *nrhs, d *a, int *lda, d *af, int *ldaf, int *ipiv, char *equed, d *r, d *c, d *b, int *ldb, d *x, int *ldx, d *rcond, d *ferr, d *berr, d *work, int *iwork, int *info) nogil
cdef void dgesvx(char *fact, char *trans, int *n, int *nrhs, d *a, int *lda, d *af, int *ldaf, int *ipiv, char *equed, d *r, d *c, d *b, int *ldb, d *x, int *ldx, d *rcond, d *ferr, d *berr, d *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_dgesvx(fact, trans, n, nrhs, a, lda, af, ldaf, ipiv, equed, r, c, b, ldb, x, ldx, rcond, ferr, berr, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dgetc2 "BLAS_FUNC(dgetc2)"(int *n, d *a, int *lda, int *ipiv, int *jpiv, int *info) nogil
cdef void dgetc2(int *n, d *a, int *lda, int *ipiv, int *jpiv, int *info) noexcept nogil:
    
    _fortran_dgetc2(n, a, lda, ipiv, jpiv, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dgetf2 "BLAS_FUNC(dgetf2)"(int *m, int *n, d *a, int *lda, int *ipiv, int *info) nogil
cdef void dgetf2(int *m, int *n, d *a, int *lda, int *ipiv, int *info) noexcept nogil:
    
    _fortran_dgetf2(m, n, a, lda, ipiv, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dgetrf "BLAS_FUNC(dgetrf)"(int *m, int *n, d *a, int *lda, int *ipiv, int *info) nogil
cdef void dgetrf(int *m, int *n, d *a, int *lda, int *ipiv, int *info) noexcept nogil:
    
    _fortran_dgetrf(m, n, a, lda, ipiv, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dgetri "BLAS_FUNC(dgetri)"(int *n, d *a, int *lda, int *ipiv, d *work, int *lwork, int *info) nogil
cdef void dgetri(int *n, d *a, int *lda, int *ipiv, d *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_dgetri(n, a, lda, ipiv, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dgetrs "BLAS_FUNC(dgetrs)"(char *trans, int *n, int *nrhs, d *a, int *lda, int *ipiv, d *b, int *ldb, int *info) nogil
cdef void dgetrs(char *trans, int *n, int *nrhs, d *a, int *lda, int *ipiv, d *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_dgetrs(trans, n, nrhs, a, lda, ipiv, b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dggbak "BLAS_FUNC(dggbak)"(char *job, char *side, int *n, int *ilo, int *ihi, d *lscale, d *rscale, int *m, d *v, int *ldv, int *info) nogil
cdef void dggbak(char *job, char *side, int *n, int *ilo, int *ihi, d *lscale, d *rscale, int *m, d *v, int *ldv, int *info) noexcept nogil:
    
    _fortran_dggbak(job, side, n, ilo, ihi, lscale, rscale, m, v, ldv, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dggbal "BLAS_FUNC(dggbal)"(char *job, int *n, d *a, int *lda, d *b, int *ldb, int *ilo, int *ihi, d *lscale, d *rscale, d *work, int *info) nogil
cdef void dggbal(char *job, int *n, d *a, int *lda, d *b, int *ldb, int *ilo, int *ihi, d *lscale, d *rscale, d *work, int *info) noexcept nogil:
    
    _fortran_dggbal(job, n, a, lda, b, ldb, ilo, ihi, lscale, rscale, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dgges "BLAS_FUNC(dgges)"(char *jobvsl, char *jobvsr, char *sort, _dselect3 *selctg, int *n, d *a, int *lda, d *b, int *ldb, int *sdim, d *alphar, d *alphai, d *beta, d *vsl, int *ldvsl, d *vsr, int *ldvsr, d *work, int *lwork, bint *bwork, int *info) nogil
cdef void dgges(char *jobvsl, char *jobvsr, char *sort, dselect3 *selctg, int *n, d *a, int *lda, d *b, int *ldb, int *sdim, d *alphar, d *alphai, d *beta, d *vsl, int *ldvsl, d *vsr, int *ldvsr, d *work, int *lwork, bint *bwork, int *info) noexcept nogil:
    
    _fortran_dgges(jobvsl, jobvsr, sort, <_dselect3*>selctg, n, a, lda, b, ldb, sdim, alphar, alphai, beta, vsl, ldvsl, vsr, ldvsr, work, lwork, bwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dggesx "BLAS_FUNC(dggesx)"(char *jobvsl, char *jobvsr, char *sort, _dselect3 *selctg, char *sense, int *n, d *a, int *lda, d *b, int *ldb, int *sdim, d *alphar, d *alphai, d *beta, d *vsl, int *ldvsl, d *vsr, int *ldvsr, d *rconde, d *rcondv, d *work, int *lwork, int *iwork, int *liwork, bint *bwork, int *info) nogil
cdef void dggesx(char *jobvsl, char *jobvsr, char *sort, dselect3 *selctg, char *sense, int *n, d *a, int *lda, d *b, int *ldb, int *sdim, d *alphar, d *alphai, d *beta, d *vsl, int *ldvsl, d *vsr, int *ldvsr, d *rconde, d *rcondv, d *work, int *lwork, int *iwork, int *liwork, bint *bwork, int *info) noexcept nogil:
    
    _fortran_dggesx(jobvsl, jobvsr, sort, <_dselect3*>selctg, sense, n, a, lda, b, ldb, sdim, alphar, alphai, beta, vsl, ldvsl, vsr, ldvsr, rconde, rcondv, work, lwork, iwork, liwork, bwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dggev "BLAS_FUNC(dggev)"(char *jobvl, char *jobvr, int *n, d *a, int *lda, d *b, int *ldb, d *alphar, d *alphai, d *beta, d *vl, int *ldvl, d *vr, int *ldvr, d *work, int *lwork, int *info) nogil
cdef void dggev(char *jobvl, char *jobvr, int *n, d *a, int *lda, d *b, int *ldb, d *alphar, d *alphai, d *beta, d *vl, int *ldvl, d *vr, int *ldvr, d *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_dggev(jobvl, jobvr, n, a, lda, b, ldb, alphar, alphai, beta, vl, ldvl, vr, ldvr, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dggevx "BLAS_FUNC(dggevx)"(char *balanc, char *jobvl, char *jobvr, char *sense, int *n, d *a, int *lda, d *b, int *ldb, d *alphar, d *alphai, d *beta, d *vl, int *ldvl, d *vr, int *ldvr, int *ilo, int *ihi, d *lscale, d *rscale, d *abnrm, d *bbnrm, d *rconde, d *rcondv, d *work, int *lwork, int *iwork, bint *bwork, int *info) nogil
cdef void dggevx(char *balanc, char *jobvl, char *jobvr, char *sense, int *n, d *a, int *lda, d *b, int *ldb, d *alphar, d *alphai, d *beta, d *vl, int *ldvl, d *vr, int *ldvr, int *ilo, int *ihi, d *lscale, d *rscale, d *abnrm, d *bbnrm, d *rconde, d *rcondv, d *work, int *lwork, int *iwork, bint *bwork, int *info) noexcept nogil:
    
    _fortran_dggevx(balanc, jobvl, jobvr, sense, n, a, lda, b, ldb, alphar, alphai, beta, vl, ldvl, vr, ldvr, ilo, ihi, lscale, rscale, abnrm, bbnrm, rconde, rcondv, work, lwork, iwork, bwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dggglm "BLAS_FUNC(dggglm)"(int *n, int *m, int *p, d *a, int *lda, d *b, int *ldb, d *d, d *x, d *y, d *work, int *lwork, int *info) nogil
cdef void dggglm(int *n, int *m, int *p, d *a, int *lda, d *b, int *ldb, d *d, d *x, d *y, d *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_dggglm(n, m, p, a, lda, b, ldb, d, x, y, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dgghrd "BLAS_FUNC(dgghrd)"(char *compq, char *compz, int *n, int *ilo, int *ihi, d *a, int *lda, d *b, int *ldb, d *q, int *ldq, d *z, int *ldz, int *info) nogil
cdef void dgghrd(char *compq, char *compz, int *n, int *ilo, int *ihi, d *a, int *lda, d *b, int *ldb, d *q, int *ldq, d *z, int *ldz, int *info) noexcept nogil:
    
    _fortran_dgghrd(compq, compz, n, ilo, ihi, a, lda, b, ldb, q, ldq, z, ldz, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dgglse "BLAS_FUNC(dgglse)"(int *m, int *n, int *p, d *a, int *lda, d *b, int *ldb, d *c, d *d, d *x, d *work, int *lwork, int *info) nogil
cdef void dgglse(int *m, int *n, int *p, d *a, int *lda, d *b, int *ldb, d *c, d *d, d *x, d *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_dgglse(m, n, p, a, lda, b, ldb, c, d, x, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dggqrf "BLAS_FUNC(dggqrf)"(int *n, int *m, int *p, d *a, int *lda, d *taua, d *b, int *ldb, d *taub, d *work, int *lwork, int *info) nogil
cdef void dggqrf(int *n, int *m, int *p, d *a, int *lda, d *taua, d *b, int *ldb, d *taub, d *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_dggqrf(n, m, p, a, lda, taua, b, ldb, taub, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dggrqf "BLAS_FUNC(dggrqf)"(int *m, int *p, int *n, d *a, int *lda, d *taua, d *b, int *ldb, d *taub, d *work, int *lwork, int *info) nogil
cdef void dggrqf(int *m, int *p, int *n, d *a, int *lda, d *taua, d *b, int *ldb, d *taub, d *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_dggrqf(m, p, n, a, lda, taua, b, ldb, taub, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dgsvj0 "BLAS_FUNC(dgsvj0)"(char *jobv, int *m, int *n, d *a, int *lda, d *d, d *sva, int *mv, d *v, int *ldv, d *eps, d *sfmin, d *tol, int *nsweep, d *work, int *lwork, int *info) nogil
cdef void dgsvj0(char *jobv, int *m, int *n, d *a, int *lda, d *d, d *sva, int *mv, d *v, int *ldv, d *eps, d *sfmin, d *tol, int *nsweep, d *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_dgsvj0(jobv, m, n, a, lda, d, sva, mv, v, ldv, eps, sfmin, tol, nsweep, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dgsvj1 "BLAS_FUNC(dgsvj1)"(char *jobv, int *m, int *n, int *n1, d *a, int *lda, d *d, d *sva, int *mv, d *v, int *ldv, d *eps, d *sfmin, d *tol, int *nsweep, d *work, int *lwork, int *info) nogil
cdef void dgsvj1(char *jobv, int *m, int *n, int *n1, d *a, int *lda, d *d, d *sva, int *mv, d *v, int *ldv, d *eps, d *sfmin, d *tol, int *nsweep, d *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_dgsvj1(jobv, m, n, n1, a, lda, d, sva, mv, v, ldv, eps, sfmin, tol, nsweep, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dgtcon "BLAS_FUNC(dgtcon)"(char *norm, int *n, d *dl, d *d, d *du, d *du2, int *ipiv, d *anorm, d *rcond, d *work, int *iwork, int *info) nogil
cdef void dgtcon(char *norm, int *n, d *dl, d *d, d *du, d *du2, int *ipiv, d *anorm, d *rcond, d *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_dgtcon(norm, n, dl, d, du, du2, ipiv, anorm, rcond, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dgtrfs "BLAS_FUNC(dgtrfs)"(char *trans, int *n, int *nrhs, d *dl, d *d, d *du, d *dlf, d *df, d *duf, d *du2, int *ipiv, d *b, int *ldb, d *x, int *ldx, d *ferr, d *berr, d *work, int *iwork, int *info) nogil
cdef void dgtrfs(char *trans, int *n, int *nrhs, d *dl, d *d, d *du, d *dlf, d *df, d *duf, d *du2, int *ipiv, d *b, int *ldb, d *x, int *ldx, d *ferr, d *berr, d *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_dgtrfs(trans, n, nrhs, dl, d, du, dlf, df, duf, du2, ipiv, b, ldb, x, ldx, ferr, berr, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dgtsv "BLAS_FUNC(dgtsv)"(int *n, int *nrhs, d *dl, d *d, d *du, d *b, int *ldb, int *info) nogil
cdef void dgtsv(int *n, int *nrhs, d *dl, d *d, d *du, d *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_dgtsv(n, nrhs, dl, d, du, b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dgtsvx "BLAS_FUNC(dgtsvx)"(char *fact, char *trans, int *n, int *nrhs, d *dl, d *d, d *du, d *dlf, d *df, d *duf, d *du2, int *ipiv, d *b, int *ldb, d *x, int *ldx, d *rcond, d *ferr, d *berr, d *work, int *iwork, int *info) nogil
cdef void dgtsvx(char *fact, char *trans, int *n, int *nrhs, d *dl, d *d, d *du, d *dlf, d *df, d *duf, d *du2, int *ipiv, d *b, int *ldb, d *x, int *ldx, d *rcond, d *ferr, d *berr, d *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_dgtsvx(fact, trans, n, nrhs, dl, d, du, dlf, df, duf, du2, ipiv, b, ldb, x, ldx, rcond, ferr, berr, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dgttrf "BLAS_FUNC(dgttrf)"(int *n, d *dl, d *d, d *du, d *du2, int *ipiv, int *info) nogil
cdef void dgttrf(int *n, d *dl, d *d, d *du, d *du2, int *ipiv, int *info) noexcept nogil:
    
    _fortran_dgttrf(n, dl, d, du, du2, ipiv, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dgttrs "BLAS_FUNC(dgttrs)"(char *trans, int *n, int *nrhs, d *dl, d *d, d *du, d *du2, int *ipiv, d *b, int *ldb, int *info) nogil
cdef void dgttrs(char *trans, int *n, int *nrhs, d *dl, d *d, d *du, d *du2, int *ipiv, d *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_dgttrs(trans, n, nrhs, dl, d, du, du2, ipiv, b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dgtts2 "BLAS_FUNC(dgtts2)"(int *itrans, int *n, int *nrhs, d *dl, d *d, d *du, d *du2, int *ipiv, d *b, int *ldb) nogil
cdef void dgtts2(int *itrans, int *n, int *nrhs, d *dl, d *d, d *du, d *du2, int *ipiv, d *b, int *ldb) noexcept nogil:
    
    _fortran_dgtts2(itrans, n, nrhs, dl, d, du, du2, ipiv, b, ldb)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dhgeqz "BLAS_FUNC(dhgeqz)"(char *job, char *compq, char *compz, int *n, int *ilo, int *ihi, d *h, int *ldh, d *t, int *ldt, d *alphar, d *alphai, d *beta, d *q, int *ldq, d *z, int *ldz, d *work, int *lwork, int *info) nogil
cdef void dhgeqz(char *job, char *compq, char *compz, int *n, int *ilo, int *ihi, d *h, int *ldh, d *t, int *ldt, d *alphar, d *alphai, d *beta, d *q, int *ldq, d *z, int *ldz, d *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_dhgeqz(job, compq, compz, n, ilo, ihi, h, ldh, t, ldt, alphar, alphai, beta, q, ldq, z, ldz, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dhsein "BLAS_FUNC(dhsein)"(char *side, char *eigsrc, char *initv, bint *select, int *n, d *h, int *ldh, d *wr, d *wi, d *vl, int *ldvl, d *vr, int *ldvr, int *mm, int *m, d *work, int *ifaill, int *ifailr, int *info) nogil
cdef void dhsein(char *side, char *eigsrc, char *initv, bint *select, int *n, d *h, int *ldh, d *wr, d *wi, d *vl, int *ldvl, d *vr, int *ldvr, int *mm, int *m, d *work, int *ifaill, int *ifailr, int *info) noexcept nogil:
    
    _fortran_dhsein(side, eigsrc, initv, select, n, h, ldh, wr, wi, vl, ldvl, vr, ldvr, mm, m, work, ifaill, ifailr, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dhseqr "BLAS_FUNC(dhseqr)"(char *job, char *compz, int *n, int *ilo, int *ihi, d *h, int *ldh, d *wr, d *wi, d *z, int *ldz, d *work, int *lwork, int *info) nogil
cdef void dhseqr(char *job, char *compz, int *n, int *ilo, int *ihi, d *h, int *ldh, d *wr, d *wi, d *z, int *ldz, d *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_dhseqr(job, compz, n, ilo, ihi, h, ldh, wr, wi, z, ldz, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    bint _fortran_disnan "BLAS_FUNC(disnan)"(d *din) nogil
cdef bint disnan(d *din) noexcept nogil:
    
    return _fortran_disnan(din)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlabad "BLAS_FUNC(dlabad)"(d *small, d *large) nogil
cdef void dlabad(d *small, d *large) noexcept nogil:
    
    _fortran_dlabad(small, large)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlabrd "BLAS_FUNC(dlabrd)"(int *m, int *n, int *nb, d *a, int *lda, d *d, d *e, d *tauq, d *taup, d *x, int *ldx, d *y, int *ldy) nogil
cdef void dlabrd(int *m, int *n, int *nb, d *a, int *lda, d *d, d *e, d *tauq, d *taup, d *x, int *ldx, d *y, int *ldy) noexcept nogil:
    
    _fortran_dlabrd(m, n, nb, a, lda, d, e, tauq, taup, x, ldx, y, ldy)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlacn2 "BLAS_FUNC(dlacn2)"(int *n, d *v, d *x, int *isgn, d *est, int *kase, int *isave) nogil
cdef void dlacn2(int *n, d *v, d *x, int *isgn, d *est, int *kase, int *isave) noexcept nogil:
    
    _fortran_dlacn2(n, v, x, isgn, est, kase, isave)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlacon "BLAS_FUNC(dlacon)"(int *n, d *v, d *x, int *isgn, d *est, int *kase) nogil
cdef void dlacon(int *n, d *v, d *x, int *isgn, d *est, int *kase) noexcept nogil:
    
    _fortran_dlacon(n, v, x, isgn, est, kase)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlacpy "BLAS_FUNC(dlacpy)"(char *uplo, int *m, int *n, d *a, int *lda, d *b, int *ldb) nogil
cdef void dlacpy(char *uplo, int *m, int *n, d *a, int *lda, d *b, int *ldb) noexcept nogil:
    
    _fortran_dlacpy(uplo, m, n, a, lda, b, ldb)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dladiv "BLAS_FUNC(dladiv)"(d *a, d *b, d *c, d *d, d *p, d *q) nogil
cdef void dladiv(d *a, d *b, d *c, d *d, d *p, d *q) noexcept nogil:
    
    _fortran_dladiv(a, b, c, d, p, q)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlae2 "BLAS_FUNC(dlae2)"(d *a, d *b, d *c, d *rt1, d *rt2) nogil
cdef void dlae2(d *a, d *b, d *c, d *rt1, d *rt2) noexcept nogil:
    
    _fortran_dlae2(a, b, c, rt1, rt2)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlaebz "BLAS_FUNC(dlaebz)"(int *ijob, int *nitmax, int *n, int *mmax, int *minp, int *nbmin, d *abstol, d *reltol, d *pivmin, d *d, d *e, d *e2, int *nval, d *ab, d *c, int *mout, int *nab, d *work, int *iwork, int *info) nogil
cdef void dlaebz(int *ijob, int *nitmax, int *n, int *mmax, int *minp, int *nbmin, d *abstol, d *reltol, d *pivmin, d *d, d *e, d *e2, int *nval, d *ab, d *c, int *mout, int *nab, d *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_dlaebz(ijob, nitmax, n, mmax, minp, nbmin, abstol, reltol, pivmin, d, e, e2, nval, ab, c, mout, nab, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlaed0 "BLAS_FUNC(dlaed0)"(int *icompq, int *qsiz, int *n, d *d, d *e, d *q, int *ldq, d *qstore, int *ldqs, d *work, int *iwork, int *info) nogil
cdef void dlaed0(int *icompq, int *qsiz, int *n, d *d, d *e, d *q, int *ldq, d *qstore, int *ldqs, d *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_dlaed0(icompq, qsiz, n, d, e, q, ldq, qstore, ldqs, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlaed1 "BLAS_FUNC(dlaed1)"(int *n, d *d, d *q, int *ldq, int *indxq, d *rho, int *cutpnt, d *work, int *iwork, int *info) nogil
cdef void dlaed1(int *n, d *d, d *q, int *ldq, int *indxq, d *rho, int *cutpnt, d *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_dlaed1(n, d, q, ldq, indxq, rho, cutpnt, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlaed2 "BLAS_FUNC(dlaed2)"(int *k, int *n, int *n1, d *d, d *q, int *ldq, int *indxq, d *rho, d *z, d *dlamda, d *w, d *q2, int *indx, int *indxc, int *indxp, int *coltyp, int *info) nogil
cdef void dlaed2(int *k, int *n, int *n1, d *d, d *q, int *ldq, int *indxq, d *rho, d *z, d *dlamda, d *w, d *q2, int *indx, int *indxc, int *indxp, int *coltyp, int *info) noexcept nogil:
    
    _fortran_dlaed2(k, n, n1, d, q, ldq, indxq, rho, z, dlamda, w, q2, indx, indxc, indxp, coltyp, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlaed3 "BLAS_FUNC(dlaed3)"(int *k, int *n, int *n1, d *d, d *q, int *ldq, d *rho, d *dlamda, d *q2, int *indx, int *ctot, d *w, d *s, int *info) nogil
cdef void dlaed3(int *k, int *n, int *n1, d *d, d *q, int *ldq, d *rho, d *dlamda, d *q2, int *indx, int *ctot, d *w, d *s, int *info) noexcept nogil:
    
    _fortran_dlaed3(k, n, n1, d, q, ldq, rho, dlamda, q2, indx, ctot, w, s, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlaed4 "BLAS_FUNC(dlaed4)"(int *n, int *i, d *d, d *z, d *delta, d *rho, d *dlam, int *info) nogil
cdef void dlaed4(int *n, int *i, d *d, d *z, d *delta, d *rho, d *dlam, int *info) noexcept nogil:
    
    _fortran_dlaed4(n, i, d, z, delta, rho, dlam, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlaed5 "BLAS_FUNC(dlaed5)"(int *i, d *d, d *z, d *delta, d *rho, d *dlam) nogil
cdef void dlaed5(int *i, d *d, d *z, d *delta, d *rho, d *dlam) noexcept nogil:
    
    _fortran_dlaed5(i, d, z, delta, rho, dlam)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlaed6 "BLAS_FUNC(dlaed6)"(int *kniter, bint *orgati, d *rho, d *d, d *z, d *finit, d *tau, int *info) nogil
cdef void dlaed6(int *kniter, bint *orgati, d *rho, d *d, d *z, d *finit, d *tau, int *info) noexcept nogil:
    
    _fortran_dlaed6(kniter, orgati, rho, d, z, finit, tau, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlaed7 "BLAS_FUNC(dlaed7)"(int *icompq, int *n, int *qsiz, int *tlvls, int *curlvl, int *curpbm, d *d, d *q, int *ldq, int *indxq, d *rho, int *cutpnt, d *qstore, int *qptr, int *prmptr, int *perm, int *givptr, int *givcol, d *givnum, d *work, int *iwork, int *info) nogil
cdef void dlaed7(int *icompq, int *n, int *qsiz, int *tlvls, int *curlvl, int *curpbm, d *d, d *q, int *ldq, int *indxq, d *rho, int *cutpnt, d *qstore, int *qptr, int *prmptr, int *perm, int *givptr, int *givcol, d *givnum, d *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_dlaed7(icompq, n, qsiz, tlvls, curlvl, curpbm, d, q, ldq, indxq, rho, cutpnt, qstore, qptr, prmptr, perm, givptr, givcol, givnum, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlaed8 "BLAS_FUNC(dlaed8)"(int *icompq, int *k, int *n, int *qsiz, d *d, d *q, int *ldq, int *indxq, d *rho, int *cutpnt, d *z, d *dlamda, d *q2, int *ldq2, d *w, int *perm, int *givptr, int *givcol, d *givnum, int *indxp, int *indx, int *info) nogil
cdef void dlaed8(int *icompq, int *k, int *n, int *qsiz, d *d, d *q, int *ldq, int *indxq, d *rho, int *cutpnt, d *z, d *dlamda, d *q2, int *ldq2, d *w, int *perm, int *givptr, int *givcol, d *givnum, int *indxp, int *indx, int *info) noexcept nogil:
    
    _fortran_dlaed8(icompq, k, n, qsiz, d, q, ldq, indxq, rho, cutpnt, z, dlamda, q2, ldq2, w, perm, givptr, givcol, givnum, indxp, indx, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlaed9 "BLAS_FUNC(dlaed9)"(int *k, int *kstart, int *kstop, int *n, d *d, d *q, int *ldq, d *rho, d *dlamda, d *w, d *s, int *lds, int *info) nogil
cdef void dlaed9(int *k, int *kstart, int *kstop, int *n, d *d, d *q, int *ldq, d *rho, d *dlamda, d *w, d *s, int *lds, int *info) noexcept nogil:
    
    _fortran_dlaed9(k, kstart, kstop, n, d, q, ldq, rho, dlamda, w, s, lds, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlaeda "BLAS_FUNC(dlaeda)"(int *n, int *tlvls, int *curlvl, int *curpbm, int *prmptr, int *perm, int *givptr, int *givcol, d *givnum, d *q, int *qptr, d *z, d *ztemp, int *info) nogil
cdef void dlaeda(int *n, int *tlvls, int *curlvl, int *curpbm, int *prmptr, int *perm, int *givptr, int *givcol, d *givnum, d *q, int *qptr, d *z, d *ztemp, int *info) noexcept nogil:
    
    _fortran_dlaeda(n, tlvls, curlvl, curpbm, prmptr, perm, givptr, givcol, givnum, q, qptr, z, ztemp, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlaein "BLAS_FUNC(dlaein)"(bint *rightv, bint *noinit, int *n, d *h, int *ldh, d *wr, d *wi, d *vr, d *vi, d *b, int *ldb, d *work, d *eps3, d *smlnum, d *bignum, int *info) nogil
cdef void dlaein(bint *rightv, bint *noinit, int *n, d *h, int *ldh, d *wr, d *wi, d *vr, d *vi, d *b, int *ldb, d *work, d *eps3, d *smlnum, d *bignum, int *info) noexcept nogil:
    
    _fortran_dlaein(rightv, noinit, n, h, ldh, wr, wi, vr, vi, b, ldb, work, eps3, smlnum, bignum, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlaev2 "BLAS_FUNC(dlaev2)"(d *a, d *b, d *c, d *rt1, d *rt2, d *cs1, d *sn1) nogil
cdef void dlaev2(d *a, d *b, d *c, d *rt1, d *rt2, d *cs1, d *sn1) noexcept nogil:
    
    _fortran_dlaev2(a, b, c, rt1, rt2, cs1, sn1)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlaexc "BLAS_FUNC(dlaexc)"(bint *wantq, int *n, d *t, int *ldt, d *q, int *ldq, int *j1, int *n1, int *n2, d *work, int *info) nogil
cdef void dlaexc(bint *wantq, int *n, d *t, int *ldt, d *q, int *ldq, int *j1, int *n1, int *n2, d *work, int *info) noexcept nogil:
    
    _fortran_dlaexc(wantq, n, t, ldt, q, ldq, j1, n1, n2, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlag2 "BLAS_FUNC(dlag2)"(d *a, int *lda, d *b, int *ldb, d *safmin, d *scale1, d *scale2, d *wr1, d *wr2, d *wi) nogil
cdef void dlag2(d *a, int *lda, d *b, int *ldb, d *safmin, d *scale1, d *scale2, d *wr1, d *wr2, d *wi) noexcept nogil:
    
    _fortran_dlag2(a, lda, b, ldb, safmin, scale1, scale2, wr1, wr2, wi)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlag2s "BLAS_FUNC(dlag2s)"(int *m, int *n, d *a, int *lda, s *sa, int *ldsa, int *info) nogil
cdef void dlag2s(int *m, int *n, d *a, int *lda, s *sa, int *ldsa, int *info) noexcept nogil:
    
    _fortran_dlag2s(m, n, a, lda, sa, ldsa, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlags2 "BLAS_FUNC(dlags2)"(bint *upper, d *a1, d *a2, d *a3, d *b1, d *b2, d *b3, d *csu, d *snu, d *csv, d *snv, d *csq, d *snq) nogil
cdef void dlags2(bint *upper, d *a1, d *a2, d *a3, d *b1, d *b2, d *b3, d *csu, d *snu, d *csv, d *snv, d *csq, d *snq) noexcept nogil:
    
    _fortran_dlags2(upper, a1, a2, a3, b1, b2, b3, csu, snu, csv, snv, csq, snq)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlagtf "BLAS_FUNC(dlagtf)"(int *n, d *a, d *lambda_, d *b, d *c, d *tol, d *d, int *in_, int *info) nogil
cdef void dlagtf(int *n, d *a, d *lambda_, d *b, d *c, d *tol, d *d, int *in_, int *info) noexcept nogil:
    
    _fortran_dlagtf(n, a, lambda_, b, c, tol, d, in_, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlagtm "BLAS_FUNC(dlagtm)"(char *trans, int *n, int *nrhs, d *alpha, d *dl, d *d, d *du, d *x, int *ldx, d *beta, d *b, int *ldb) nogil
cdef void dlagtm(char *trans, int *n, int *nrhs, d *alpha, d *dl, d *d, d *du, d *x, int *ldx, d *beta, d *b, int *ldb) noexcept nogil:
    
    _fortran_dlagtm(trans, n, nrhs, alpha, dl, d, du, x, ldx, beta, b, ldb)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlagts "BLAS_FUNC(dlagts)"(int *job, int *n, d *a, d *b, d *c, d *d, int *in_, d *y, d *tol, int *info) nogil
cdef void dlagts(int *job, int *n, d *a, d *b, d *c, d *d, int *in_, d *y, d *tol, int *info) noexcept nogil:
    
    _fortran_dlagts(job, n, a, b, c, d, in_, y, tol, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlagv2 "BLAS_FUNC(dlagv2)"(d *a, int *lda, d *b, int *ldb, d *alphar, d *alphai, d *beta, d *csl, d *snl, d *csr, d *snr) nogil
cdef void dlagv2(d *a, int *lda, d *b, int *ldb, d *alphar, d *alphai, d *beta, d *csl, d *snl, d *csr, d *snr) noexcept nogil:
    
    _fortran_dlagv2(a, lda, b, ldb, alphar, alphai, beta, csl, snl, csr, snr)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlahqr "BLAS_FUNC(dlahqr)"(bint *wantt, bint *wantz, int *n, int *ilo, int *ihi, d *h, int *ldh, d *wr, d *wi, int *iloz, int *ihiz, d *z, int *ldz, int *info) nogil
cdef void dlahqr(bint *wantt, bint *wantz, int *n, int *ilo, int *ihi, d *h, int *ldh, d *wr, d *wi, int *iloz, int *ihiz, d *z, int *ldz, int *info) noexcept nogil:
    
    _fortran_dlahqr(wantt, wantz, n, ilo, ihi, h, ldh, wr, wi, iloz, ihiz, z, ldz, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlahr2 "BLAS_FUNC(dlahr2)"(int *n, int *k, int *nb, d *a, int *lda, d *tau, d *t, int *ldt, d *y, int *ldy) nogil
cdef void dlahr2(int *n, int *k, int *nb, d *a, int *lda, d *tau, d *t, int *ldt, d *y, int *ldy) noexcept nogil:
    
    _fortran_dlahr2(n, k, nb, a, lda, tau, t, ldt, y, ldy)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlaic1 "BLAS_FUNC(dlaic1)"(int *job, int *j, d *x, d *sest, d *w, d *gamma, d *sestpr, d *s, d *c) nogil
cdef void dlaic1(int *job, int *j, d *x, d *sest, d *w, d *gamma, d *sestpr, d *s, d *c) noexcept nogil:
    
    _fortran_dlaic1(job, j, x, sest, w, gamma, sestpr, s, c)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlaln2 "BLAS_FUNC(dlaln2)"(bint *ltrans, int *na, int *nw, d *smin, d *ca, d *a, int *lda, d *d1, d *d2, d *b, int *ldb, d *wr, d *wi, d *x, int *ldx, d *scale, d *xnorm, int *info) nogil
cdef void dlaln2(bint *ltrans, int *na, int *nw, d *smin, d *ca, d *a, int *lda, d *d1, d *d2, d *b, int *ldb, d *wr, d *wi, d *x, int *ldx, d *scale, d *xnorm, int *info) noexcept nogil:
    
    _fortran_dlaln2(ltrans, na, nw, smin, ca, a, lda, d1, d2, b, ldb, wr, wi, x, ldx, scale, xnorm, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlals0 "BLAS_FUNC(dlals0)"(int *icompq, int *nl, int *nr, int *sqre, int *nrhs, d *b, int *ldb, d *bx, int *ldbx, int *perm, int *givptr, int *givcol, int *ldgcol, d *givnum, int *ldgnum, d *poles, d *difl, d *difr, d *z, int *k, d *c, d *s, d *work, int *info) nogil
cdef void dlals0(int *icompq, int *nl, int *nr, int *sqre, int *nrhs, d *b, int *ldb, d *bx, int *ldbx, int *perm, int *givptr, int *givcol, int *ldgcol, d *givnum, int *ldgnum, d *poles, d *difl, d *difr, d *z, int *k, d *c, d *s, d *work, int *info) noexcept nogil:
    
    _fortran_dlals0(icompq, nl, nr, sqre, nrhs, b, ldb, bx, ldbx, perm, givptr, givcol, ldgcol, givnum, ldgnum, poles, difl, difr, z, k, c, s, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlalsa "BLAS_FUNC(dlalsa)"(int *icompq, int *smlsiz, int *n, int *nrhs, d *b, int *ldb, d *bx, int *ldbx, d *u, int *ldu, d *vt, int *k, d *difl, d *difr, d *z, d *poles, int *givptr, int *givcol, int *ldgcol, int *perm, d *givnum, d *c, d *s, d *work, int *iwork, int *info) nogil
cdef void dlalsa(int *icompq, int *smlsiz, int *n, int *nrhs, d *b, int *ldb, d *bx, int *ldbx, d *u, int *ldu, d *vt, int *k, d *difl, d *difr, d *z, d *poles, int *givptr, int *givcol, int *ldgcol, int *perm, d *givnum, d *c, d *s, d *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_dlalsa(icompq, smlsiz, n, nrhs, b, ldb, bx, ldbx, u, ldu, vt, k, difl, difr, z, poles, givptr, givcol, ldgcol, perm, givnum, c, s, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlalsd "BLAS_FUNC(dlalsd)"(char *uplo, int *smlsiz, int *n, int *nrhs, d *d, d *e, d *b, int *ldb, d *rcond, int *rank, d *work, int *iwork, int *info) nogil
cdef void dlalsd(char *uplo, int *smlsiz, int *n, int *nrhs, d *d, d *e, d *b, int *ldb, d *rcond, int *rank, d *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_dlalsd(uplo, smlsiz, n, nrhs, d, e, b, ldb, rcond, rank, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    d _fortran_dlamch "BLAS_FUNC(dlamch)"(char *cmach) nogil
cdef d dlamch(char *cmach) noexcept nogil:
    
    return _fortran_dlamch(cmach)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlamrg "BLAS_FUNC(dlamrg)"(int *n1, int *n2, d *a, int *dtrd1, int *dtrd2, int *index_bn) nogil
cdef void dlamrg(int *n1, int *n2, d *a, int *dtrd1, int *dtrd2, int *index_bn) noexcept nogil:
    
    _fortran_dlamrg(n1, n2, a, dtrd1, dtrd2, index_bn)
    

cdef extern from "_lapack_subroutines.h":
    int _fortran_dlaneg "BLAS_FUNC(dlaneg)"(int *n, d *d, d *lld, d *sigma, d *pivmin, int *r) nogil
cdef int dlaneg(int *n, d *d, d *lld, d *sigma, d *pivmin, int *r) noexcept nogil:
    
    return _fortran_dlaneg(n, d, lld, sigma, pivmin, r)
    

cdef extern from "_lapack_subroutines.h":
    d _fortran_dlangb "BLAS_FUNC(dlangb)"(char *norm, int *n, int *kl, int *ku, d *ab, int *ldab, d *work) nogil
cdef d dlangb(char *norm, int *n, int *kl, int *ku, d *ab, int *ldab, d *work) noexcept nogil:
    
    return _fortran_dlangb(norm, n, kl, ku, ab, ldab, work)
    

cdef extern from "_lapack_subroutines.h":
    d _fortran_dlange "BLAS_FUNC(dlange)"(char *norm, int *m, int *n, d *a, int *lda, d *work) nogil
cdef d dlange(char *norm, int *m, int *n, d *a, int *lda, d *work) noexcept nogil:
    
    return _fortran_dlange(norm, m, n, a, lda, work)
    

cdef extern from "_lapack_subroutines.h":
    d _fortran_dlangt "BLAS_FUNC(dlangt)"(char *norm, int *n, d *dl, d *d_, d *du) nogil
cdef d dlangt(char *norm, int *n, d *dl, d *d_, d *du) noexcept nogil:
    
    return _fortran_dlangt(norm, n, dl, d_, du)
    

cdef extern from "_lapack_subroutines.h":
    d _fortran_dlanhs "BLAS_FUNC(dlanhs)"(char *norm, int *n, d *a, int *lda, d *work) nogil
cdef d dlanhs(char *norm, int *n, d *a, int *lda, d *work) noexcept nogil:
    
    return _fortran_dlanhs(norm, n, a, lda, work)
    

cdef extern from "_lapack_subroutines.h":
    d _fortran_dlansb "BLAS_FUNC(dlansb)"(char *norm, char *uplo, int *n, int *k, d *ab, int *ldab, d *work) nogil
cdef d dlansb(char *norm, char *uplo, int *n, int *k, d *ab, int *ldab, d *work) noexcept nogil:
    
    return _fortran_dlansb(norm, uplo, n, k, ab, ldab, work)
    

cdef extern from "_lapack_subroutines.h":
    d _fortran_dlansf "BLAS_FUNC(dlansf)"(char *norm, char *transr, char *uplo, int *n, d *a, d *work) nogil
cdef d dlansf(char *norm, char *transr, char *uplo, int *n, d *a, d *work) noexcept nogil:
    
    return _fortran_dlansf(norm, transr, uplo, n, a, work)
    

cdef extern from "_lapack_subroutines.h":
    d _fortran_dlansp "BLAS_FUNC(dlansp)"(char *norm, char *uplo, int *n, d *ap, d *work) nogil
cdef d dlansp(char *norm, char *uplo, int *n, d *ap, d *work) noexcept nogil:
    
    return _fortran_dlansp(norm, uplo, n, ap, work)
    

cdef extern from "_lapack_subroutines.h":
    d _fortran_dlanst "BLAS_FUNC(dlanst)"(char *norm, int *n, d *d_, d *e) nogil
cdef d dlanst(char *norm, int *n, d *d_, d *e) noexcept nogil:
    
    return _fortran_dlanst(norm, n, d_, e)
    

cdef extern from "_lapack_subroutines.h":
    d _fortran_dlansy "BLAS_FUNC(dlansy)"(char *norm, char *uplo, int *n, d *a, int *lda, d *work) nogil
cdef d dlansy(char *norm, char *uplo, int *n, d *a, int *lda, d *work) noexcept nogil:
    
    return _fortran_dlansy(norm, uplo, n, a, lda, work)
    

cdef extern from "_lapack_subroutines.h":
    d _fortran_dlantb "BLAS_FUNC(dlantb)"(char *norm, char *uplo, char *diag, int *n, int *k, d *ab, int *ldab, d *work) nogil
cdef d dlantb(char *norm, char *uplo, char *diag, int *n, int *k, d *ab, int *ldab, d *work) noexcept nogil:
    
    return _fortran_dlantb(norm, uplo, diag, n, k, ab, ldab, work)
    

cdef extern from "_lapack_subroutines.h":
    d _fortran_dlantp "BLAS_FUNC(dlantp)"(char *norm, char *uplo, char *diag, int *n, d *ap, d *work) nogil
cdef d dlantp(char *norm, char *uplo, char *diag, int *n, d *ap, d *work) noexcept nogil:
    
    return _fortran_dlantp(norm, uplo, diag, n, ap, work)
    

cdef extern from "_lapack_subroutines.h":
    d _fortran_dlantr "BLAS_FUNC(dlantr)"(char *norm, char *uplo, char *diag, int *m, int *n, d *a, int *lda, d *work) nogil
cdef d dlantr(char *norm, char *uplo, char *diag, int *m, int *n, d *a, int *lda, d *work) noexcept nogil:
    
    return _fortran_dlantr(norm, uplo, diag, m, n, a, lda, work)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlanv2 "BLAS_FUNC(dlanv2)"(d *a, d *b, d *c, d *d, d *rt1r, d *rt1i, d *rt2r, d *rt2i, d *cs, d *sn) nogil
cdef void dlanv2(d *a, d *b, d *c, d *d, d *rt1r, d *rt1i, d *rt2r, d *rt2i, d *cs, d *sn) noexcept nogil:
    
    _fortran_dlanv2(a, b, c, d, rt1r, rt1i, rt2r, rt2i, cs, sn)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlapll "BLAS_FUNC(dlapll)"(int *n, d *x, int *incx, d *y, int *incy, d *ssmin) nogil
cdef void dlapll(int *n, d *x, int *incx, d *y, int *incy, d *ssmin) noexcept nogil:
    
    _fortran_dlapll(n, x, incx, y, incy, ssmin)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlapmr "BLAS_FUNC(dlapmr)"(bint *forwrd, int *m, int *n, d *x, int *ldx, int *k) nogil
cdef void dlapmr(bint *forwrd, int *m, int *n, d *x, int *ldx, int *k) noexcept nogil:
    
    _fortran_dlapmr(forwrd, m, n, x, ldx, k)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlapmt "BLAS_FUNC(dlapmt)"(bint *forwrd, int *m, int *n, d *x, int *ldx, int *k) nogil
cdef void dlapmt(bint *forwrd, int *m, int *n, d *x, int *ldx, int *k) noexcept nogil:
    
    _fortran_dlapmt(forwrd, m, n, x, ldx, k)
    

cdef extern from "_lapack_subroutines.h":
    d _fortran_dlapy2 "BLAS_FUNC(dlapy2)"(d *x, d *y) nogil
cdef d dlapy2(d *x, d *y) noexcept nogil:
    
    return _fortran_dlapy2(x, y)
    

cdef extern from "_lapack_subroutines.h":
    d _fortran_dlapy3 "BLAS_FUNC(dlapy3)"(d *x, d *y, d *z) nogil
cdef d dlapy3(d *x, d *y, d *z) noexcept nogil:
    
    return _fortran_dlapy3(x, y, z)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlaqgb "BLAS_FUNC(dlaqgb)"(int *m, int *n, int *kl, int *ku, d *ab, int *ldab, d *r, d *c, d *rowcnd, d *colcnd, d *amax, char *equed) nogil
cdef void dlaqgb(int *m, int *n, int *kl, int *ku, d *ab, int *ldab, d *r, d *c, d *rowcnd, d *colcnd, d *amax, char *equed) noexcept nogil:
    
    _fortran_dlaqgb(m, n, kl, ku, ab, ldab, r, c, rowcnd, colcnd, amax, equed)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlaqge "BLAS_FUNC(dlaqge)"(int *m, int *n, d *a, int *lda, d *r, d *c, d *rowcnd, d *colcnd, d *amax, char *equed) nogil
cdef void dlaqge(int *m, int *n, d *a, int *lda, d *r, d *c, d *rowcnd, d *colcnd, d *amax, char *equed) noexcept nogil:
    
    _fortran_dlaqge(m, n, a, lda, r, c, rowcnd, colcnd, amax, equed)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlaqp2 "BLAS_FUNC(dlaqp2)"(int *m, int *n, int *offset, d *a, int *lda, int *jpvt, d *tau, d *vn1, d *vn2, d *work) nogil
cdef void dlaqp2(int *m, int *n, int *offset, d *a, int *lda, int *jpvt, d *tau, d *vn1, d *vn2, d *work) noexcept nogil:
    
    _fortran_dlaqp2(m, n, offset, a, lda, jpvt, tau, vn1, vn2, work)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlaqps "BLAS_FUNC(dlaqps)"(int *m, int *n, int *offset, int *nb, int *kb, d *a, int *lda, int *jpvt, d *tau, d *vn1, d *vn2, d *auxv, d *f, int *ldf) nogil
cdef void dlaqps(int *m, int *n, int *offset, int *nb, int *kb, d *a, int *lda, int *jpvt, d *tau, d *vn1, d *vn2, d *auxv, d *f, int *ldf) noexcept nogil:
    
    _fortran_dlaqps(m, n, offset, nb, kb, a, lda, jpvt, tau, vn1, vn2, auxv, f, ldf)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlaqr0 "BLAS_FUNC(dlaqr0)"(bint *wantt, bint *wantz, int *n, int *ilo, int *ihi, d *h, int *ldh, d *wr, d *wi, int *iloz, int *ihiz, d *z, int *ldz, d *work, int *lwork, int *info) nogil
cdef void dlaqr0(bint *wantt, bint *wantz, int *n, int *ilo, int *ihi, d *h, int *ldh, d *wr, d *wi, int *iloz, int *ihiz, d *z, int *ldz, d *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_dlaqr0(wantt, wantz, n, ilo, ihi, h, ldh, wr, wi, iloz, ihiz, z, ldz, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlaqr1 "BLAS_FUNC(dlaqr1)"(int *n, d *h, int *ldh, d *sr1, d *si1, d *sr2, d *si2, d *v) nogil
cdef void dlaqr1(int *n, d *h, int *ldh, d *sr1, d *si1, d *sr2, d *si2, d *v) noexcept nogil:
    
    _fortran_dlaqr1(n, h, ldh, sr1, si1, sr2, si2, v)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlaqr2 "BLAS_FUNC(dlaqr2)"(bint *wantt, bint *wantz, int *n, int *ktop, int *kbot, int *nw, d *h, int *ldh, int *iloz, int *ihiz, d *z, int *ldz, int *ns, int *nd, d *sr, d *si, d *v, int *ldv, int *nh, d *t, int *ldt, int *nv, d *wv, int *ldwv, d *work, int *lwork) nogil
cdef void dlaqr2(bint *wantt, bint *wantz, int *n, int *ktop, int *kbot, int *nw, d *h, int *ldh, int *iloz, int *ihiz, d *z, int *ldz, int *ns, int *nd, d *sr, d *si, d *v, int *ldv, int *nh, d *t, int *ldt, int *nv, d *wv, int *ldwv, d *work, int *lwork) noexcept nogil:
    
    _fortran_dlaqr2(wantt, wantz, n, ktop, kbot, nw, h, ldh, iloz, ihiz, z, ldz, ns, nd, sr, si, v, ldv, nh, t, ldt, nv, wv, ldwv, work, lwork)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlaqr3 "BLAS_FUNC(dlaqr3)"(bint *wantt, bint *wantz, int *n, int *ktop, int *kbot, int *nw, d *h, int *ldh, int *iloz, int *ihiz, d *z, int *ldz, int *ns, int *nd, d *sr, d *si, d *v, int *ldv, int *nh, d *t, int *ldt, int *nv, d *wv, int *ldwv, d *work, int *lwork) nogil
cdef void dlaqr3(bint *wantt, bint *wantz, int *n, int *ktop, int *kbot, int *nw, d *h, int *ldh, int *iloz, int *ihiz, d *z, int *ldz, int *ns, int *nd, d *sr, d *si, d *v, int *ldv, int *nh, d *t, int *ldt, int *nv, d *wv, int *ldwv, d *work, int *lwork) noexcept nogil:
    
    _fortran_dlaqr3(wantt, wantz, n, ktop, kbot, nw, h, ldh, iloz, ihiz, z, ldz, ns, nd, sr, si, v, ldv, nh, t, ldt, nv, wv, ldwv, work, lwork)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlaqr4 "BLAS_FUNC(dlaqr4)"(bint *wantt, bint *wantz, int *n, int *ilo, int *ihi, d *h, int *ldh, d *wr, d *wi, int *iloz, int *ihiz, d *z, int *ldz, d *work, int *lwork, int *info) nogil
cdef void dlaqr4(bint *wantt, bint *wantz, int *n, int *ilo, int *ihi, d *h, int *ldh, d *wr, d *wi, int *iloz, int *ihiz, d *z, int *ldz, d *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_dlaqr4(wantt, wantz, n, ilo, ihi, h, ldh, wr, wi, iloz, ihiz, z, ldz, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlaqr5 "BLAS_FUNC(dlaqr5)"(bint *wantt, bint *wantz, int *kacc22, int *n, int *ktop, int *kbot, int *nshfts, d *sr, d *si, d *h, int *ldh, int *iloz, int *ihiz, d *z, int *ldz, d *v, int *ldv, d *u, int *ldu, int *nv, d *wv, int *ldwv, int *nh, d *wh, int *ldwh) nogil
cdef void dlaqr5(bint *wantt, bint *wantz, int *kacc22, int *n, int *ktop, int *kbot, int *nshfts, d *sr, d *si, d *h, int *ldh, int *iloz, int *ihiz, d *z, int *ldz, d *v, int *ldv, d *u, int *ldu, int *nv, d *wv, int *ldwv, int *nh, d *wh, int *ldwh) noexcept nogil:
    
    _fortran_dlaqr5(wantt, wantz, kacc22, n, ktop, kbot, nshfts, sr, si, h, ldh, iloz, ihiz, z, ldz, v, ldv, u, ldu, nv, wv, ldwv, nh, wh, ldwh)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlaqsb "BLAS_FUNC(dlaqsb)"(char *uplo, int *n, int *kd, d *ab, int *ldab, d *s, d *scond, d *amax, char *equed) nogil
cdef void dlaqsb(char *uplo, int *n, int *kd, d *ab, int *ldab, d *s, d *scond, d *amax, char *equed) noexcept nogil:
    
    _fortran_dlaqsb(uplo, n, kd, ab, ldab, s, scond, amax, equed)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlaqsp "BLAS_FUNC(dlaqsp)"(char *uplo, int *n, d *ap, d *s, d *scond, d *amax, char *equed) nogil
cdef void dlaqsp(char *uplo, int *n, d *ap, d *s, d *scond, d *amax, char *equed) noexcept nogil:
    
    _fortran_dlaqsp(uplo, n, ap, s, scond, amax, equed)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlaqsy "BLAS_FUNC(dlaqsy)"(char *uplo, int *n, d *a, int *lda, d *s, d *scond, d *amax, char *equed) nogil
cdef void dlaqsy(char *uplo, int *n, d *a, int *lda, d *s, d *scond, d *amax, char *equed) noexcept nogil:
    
    _fortran_dlaqsy(uplo, n, a, lda, s, scond, amax, equed)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlaqtr "BLAS_FUNC(dlaqtr)"(bint *ltran, bint *lreal, int *n, d *t, int *ldt, d *b, d *w, d *scale, d *x, d *work, int *info) nogil
cdef void dlaqtr(bint *ltran, bint *lreal, int *n, d *t, int *ldt, d *b, d *w, d *scale, d *x, d *work, int *info) noexcept nogil:
    
    _fortran_dlaqtr(ltran, lreal, n, t, ldt, b, w, scale, x, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlar1v "BLAS_FUNC(dlar1v)"(int *n, int *b1, int *bn, d *lambda_, d *d, d *l, d *ld, d *lld, d *pivmin, d *gaptol, d *z, bint *wantnc, int *negcnt, d *ztz, d *mingma, int *r, int *isuppz, d *nrminv, d *resid, d *rqcorr, d *work) nogil
cdef void dlar1v(int *n, int *b1, int *bn, d *lambda_, d *d, d *l, d *ld, d *lld, d *pivmin, d *gaptol, d *z, bint *wantnc, int *negcnt, d *ztz, d *mingma, int *r, int *isuppz, d *nrminv, d *resid, d *rqcorr, d *work) noexcept nogil:
    
    _fortran_dlar1v(n, b1, bn, lambda_, d, l, ld, lld, pivmin, gaptol, z, wantnc, negcnt, ztz, mingma, r, isuppz, nrminv, resid, rqcorr, work)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlar2v "BLAS_FUNC(dlar2v)"(int *n, d *x, d *y, d *z, int *incx, d *c, d *s, int *incc) nogil
cdef void dlar2v(int *n, d *x, d *y, d *z, int *incx, d *c, d *s, int *incc) noexcept nogil:
    
    _fortran_dlar2v(n, x, y, z, incx, c, s, incc)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlarf "BLAS_FUNC(dlarf)"(char *side, int *m, int *n, d *v, int *incv, d *tau, d *c, int *ldc, d *work) nogil
cdef void dlarf(char *side, int *m, int *n, d *v, int *incv, d *tau, d *c, int *ldc, d *work) noexcept nogil:
    
    _fortran_dlarf(side, m, n, v, incv, tau, c, ldc, work)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlarfb "BLAS_FUNC(dlarfb)"(char *side, char *trans, char *direct, char *storev, int *m, int *n, int *k, d *v, int *ldv, d *t, int *ldt, d *c, int *ldc, d *work, int *ldwork) nogil
cdef void dlarfb(char *side, char *trans, char *direct, char *storev, int *m, int *n, int *k, d *v, int *ldv, d *t, int *ldt, d *c, int *ldc, d *work, int *ldwork) noexcept nogil:
    
    _fortran_dlarfb(side, trans, direct, storev, m, n, k, v, ldv, t, ldt, c, ldc, work, ldwork)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlarfg "BLAS_FUNC(dlarfg)"(int *n, d *alpha, d *x, int *incx, d *tau) nogil
cdef void dlarfg(int *n, d *alpha, d *x, int *incx, d *tau) noexcept nogil:
    
    _fortran_dlarfg(n, alpha, x, incx, tau)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlarfgp "BLAS_FUNC(dlarfgp)"(int *n, d *alpha, d *x, int *incx, d *tau) nogil
cdef void dlarfgp(int *n, d *alpha, d *x, int *incx, d *tau) noexcept nogil:
    
    _fortran_dlarfgp(n, alpha, x, incx, tau)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlarft "BLAS_FUNC(dlarft)"(char *direct, char *storev, int *n, int *k, d *v, int *ldv, d *tau, d *t, int *ldt) nogil
cdef void dlarft(char *direct, char *storev, int *n, int *k, d *v, int *ldv, d *tau, d *t, int *ldt) noexcept nogil:
    
    _fortran_dlarft(direct, storev, n, k, v, ldv, tau, t, ldt)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlarfx "BLAS_FUNC(dlarfx)"(char *side, int *m, int *n, d *v, d *tau, d *c, int *ldc, d *work) nogil
cdef void dlarfx(char *side, int *m, int *n, d *v, d *tau, d *c, int *ldc, d *work) noexcept nogil:
    
    _fortran_dlarfx(side, m, n, v, tau, c, ldc, work)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlargv "BLAS_FUNC(dlargv)"(int *n, d *x, int *incx, d *y, int *incy, d *c, int *incc) nogil
cdef void dlargv(int *n, d *x, int *incx, d *y, int *incy, d *c, int *incc) noexcept nogil:
    
    _fortran_dlargv(n, x, incx, y, incy, c, incc)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlarnv "BLAS_FUNC(dlarnv)"(int *idist, int *iseed, int *n, d *x) nogil
cdef void dlarnv(int *idist, int *iseed, int *n, d *x) noexcept nogil:
    
    _fortran_dlarnv(idist, iseed, n, x)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlarra "BLAS_FUNC(dlarra)"(int *n, d *d, d *e, d *e2, d *spltol, d *tnrm, int *nsplit, int *isplit, int *info) nogil
cdef void dlarra(int *n, d *d, d *e, d *e2, d *spltol, d *tnrm, int *nsplit, int *isplit, int *info) noexcept nogil:
    
    _fortran_dlarra(n, d, e, e2, spltol, tnrm, nsplit, isplit, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlarrb "BLAS_FUNC(dlarrb)"(int *n, d *d, d *lld, int *ifirst, int *ilast, d *rtol1, d *rtol2, int *offset, d *w, d *wgap, d *werr, d *work, int *iwork, d *pivmin, d *spdiam, int *twist, int *info) nogil
cdef void dlarrb(int *n, d *d, d *lld, int *ifirst, int *ilast, d *rtol1, d *rtol2, int *offset, d *w, d *wgap, d *werr, d *work, int *iwork, d *pivmin, d *spdiam, int *twist, int *info) noexcept nogil:
    
    _fortran_dlarrb(n, d, lld, ifirst, ilast, rtol1, rtol2, offset, w, wgap, werr, work, iwork, pivmin, spdiam, twist, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlarrc "BLAS_FUNC(dlarrc)"(char *jobt, int *n, d *vl, d *vu, d *d, d *e, d *pivmin, int *eigcnt, int *lcnt, int *rcnt, int *info) nogil
cdef void dlarrc(char *jobt, int *n, d *vl, d *vu, d *d, d *e, d *pivmin, int *eigcnt, int *lcnt, int *rcnt, int *info) noexcept nogil:
    
    _fortran_dlarrc(jobt, n, vl, vu, d, e, pivmin, eigcnt, lcnt, rcnt, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlarrd "BLAS_FUNC(dlarrd)"(char *range, char *order, int *n, d *vl, d *vu, int *il, int *iu, d *gers, d *reltol, d *d, d *e, d *e2, d *pivmin, int *nsplit, int *isplit, int *m, d *w, d *werr, d *wl, d *wu, int *iblock, int *indexw, d *work, int *iwork, int *info) nogil
cdef void dlarrd(char *range, char *order, int *n, d *vl, d *vu, int *il, int *iu, d *gers, d *reltol, d *d, d *e, d *e2, d *pivmin, int *nsplit, int *isplit, int *m, d *w, d *werr, d *wl, d *wu, int *iblock, int *indexw, d *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_dlarrd(range, order, n, vl, vu, il, iu, gers, reltol, d, e, e2, pivmin, nsplit, isplit, m, w, werr, wl, wu, iblock, indexw, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlarre "BLAS_FUNC(dlarre)"(char *range, int *n, d *vl, d *vu, int *il, int *iu, d *d, d *e, d *e2, d *rtol1, d *rtol2, d *spltol, int *nsplit, int *isplit, int *m, d *w, d *werr, d *wgap, int *iblock, int *indexw, d *gers, d *pivmin, d *work, int *iwork, int *info) nogil
cdef void dlarre(char *range, int *n, d *vl, d *vu, int *il, int *iu, d *d, d *e, d *e2, d *rtol1, d *rtol2, d *spltol, int *nsplit, int *isplit, int *m, d *w, d *werr, d *wgap, int *iblock, int *indexw, d *gers, d *pivmin, d *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_dlarre(range, n, vl, vu, il, iu, d, e, e2, rtol1, rtol2, spltol, nsplit, isplit, m, w, werr, wgap, iblock, indexw, gers, pivmin, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlarrf "BLAS_FUNC(dlarrf)"(int *n, d *d, d *l, d *ld, int *clstrt, int *clend, d *w, d *wgap, d *werr, d *spdiam, d *clgapl, d *clgapr, d *pivmin, d *sigma, d *dplus, d *lplus, d *work, int *info) nogil
cdef void dlarrf(int *n, d *d, d *l, d *ld, int *clstrt, int *clend, d *w, d *wgap, d *werr, d *spdiam, d *clgapl, d *clgapr, d *pivmin, d *sigma, d *dplus, d *lplus, d *work, int *info) noexcept nogil:
    
    _fortran_dlarrf(n, d, l, ld, clstrt, clend, w, wgap, werr, spdiam, clgapl, clgapr, pivmin, sigma, dplus, lplus, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlarrj "BLAS_FUNC(dlarrj)"(int *n, d *d, d *e2, int *ifirst, int *ilast, d *rtol, int *offset, d *w, d *werr, d *work, int *iwork, d *pivmin, d *spdiam, int *info) nogil
cdef void dlarrj(int *n, d *d, d *e2, int *ifirst, int *ilast, d *rtol, int *offset, d *w, d *werr, d *work, int *iwork, d *pivmin, d *spdiam, int *info) noexcept nogil:
    
    _fortran_dlarrj(n, d, e2, ifirst, ilast, rtol, offset, w, werr, work, iwork, pivmin, spdiam, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlarrk "BLAS_FUNC(dlarrk)"(int *n, int *iw, d *gl, d *gu, d *d, d *e2, d *pivmin, d *reltol, d *w, d *werr, int *info) nogil
cdef void dlarrk(int *n, int *iw, d *gl, d *gu, d *d, d *e2, d *pivmin, d *reltol, d *w, d *werr, int *info) noexcept nogil:
    
    _fortran_dlarrk(n, iw, gl, gu, d, e2, pivmin, reltol, w, werr, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlarrr "BLAS_FUNC(dlarrr)"(int *n, d *d, d *e, int *info) nogil
cdef void dlarrr(int *n, d *d, d *e, int *info) noexcept nogil:
    
    _fortran_dlarrr(n, d, e, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlarrv "BLAS_FUNC(dlarrv)"(int *n, d *vl, d *vu, d *d, d *l, d *pivmin, int *isplit, int *m, int *dol, int *dou, d *minrgp, d *rtol1, d *rtol2, d *w, d *werr, d *wgap, int *iblock, int *indexw, d *gers, d *z, int *ldz, int *isuppz, d *work, int *iwork, int *info) nogil
cdef void dlarrv(int *n, d *vl, d *vu, d *d, d *l, d *pivmin, int *isplit, int *m, int *dol, int *dou, d *minrgp, d *rtol1, d *rtol2, d *w, d *werr, d *wgap, int *iblock, int *indexw, d *gers, d *z, int *ldz, int *isuppz, d *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_dlarrv(n, vl, vu, d, l, pivmin, isplit, m, dol, dou, minrgp, rtol1, rtol2, w, werr, wgap, iblock, indexw, gers, z, ldz, isuppz, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlartg "BLAS_FUNC(dlartg)"(d *f, d *g, d *cs, d *sn, d *r) nogil
cdef void dlartg(d *f, d *g, d *cs, d *sn, d *r) noexcept nogil:
    
    _fortran_dlartg(f, g, cs, sn, r)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlartgp "BLAS_FUNC(dlartgp)"(d *f, d *g, d *cs, d *sn, d *r) nogil
cdef void dlartgp(d *f, d *g, d *cs, d *sn, d *r) noexcept nogil:
    
    _fortran_dlartgp(f, g, cs, sn, r)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlartgs "BLAS_FUNC(dlartgs)"(d *x, d *y, d *sigma, d *cs, d *sn) nogil
cdef void dlartgs(d *x, d *y, d *sigma, d *cs, d *sn) noexcept nogil:
    
    _fortran_dlartgs(x, y, sigma, cs, sn)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlartv "BLAS_FUNC(dlartv)"(int *n, d *x, int *incx, d *y, int *incy, d *c, d *s, int *incc) nogil
cdef void dlartv(int *n, d *x, int *incx, d *y, int *incy, d *c, d *s, int *incc) noexcept nogil:
    
    _fortran_dlartv(n, x, incx, y, incy, c, s, incc)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlaruv "BLAS_FUNC(dlaruv)"(int *iseed, int *n, d *x) nogil
cdef void dlaruv(int *iseed, int *n, d *x) noexcept nogil:
    
    _fortran_dlaruv(iseed, n, x)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlarz "BLAS_FUNC(dlarz)"(char *side, int *m, int *n, int *l, d *v, int *incv, d *tau, d *c, int *ldc, d *work) nogil
cdef void dlarz(char *side, int *m, int *n, int *l, d *v, int *incv, d *tau, d *c, int *ldc, d *work) noexcept nogil:
    
    _fortran_dlarz(side, m, n, l, v, incv, tau, c, ldc, work)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlarzb "BLAS_FUNC(dlarzb)"(char *side, char *trans, char *direct, char *storev, int *m, int *n, int *k, int *l, d *v, int *ldv, d *t, int *ldt, d *c, int *ldc, d *work, int *ldwork) nogil
cdef void dlarzb(char *side, char *trans, char *direct, char *storev, int *m, int *n, int *k, int *l, d *v, int *ldv, d *t, int *ldt, d *c, int *ldc, d *work, int *ldwork) noexcept nogil:
    
    _fortran_dlarzb(side, trans, direct, storev, m, n, k, l, v, ldv, t, ldt, c, ldc, work, ldwork)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlarzt "BLAS_FUNC(dlarzt)"(char *direct, char *storev, int *n, int *k, d *v, int *ldv, d *tau, d *t, int *ldt) nogil
cdef void dlarzt(char *direct, char *storev, int *n, int *k, d *v, int *ldv, d *tau, d *t, int *ldt) noexcept nogil:
    
    _fortran_dlarzt(direct, storev, n, k, v, ldv, tau, t, ldt)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlas2 "BLAS_FUNC(dlas2)"(d *f, d *g, d *h, d *ssmin, d *ssmax) nogil
cdef void dlas2(d *f, d *g, d *h, d *ssmin, d *ssmax) noexcept nogil:
    
    _fortran_dlas2(f, g, h, ssmin, ssmax)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlascl "BLAS_FUNC(dlascl)"(char *type_bn, int *kl, int *ku, d *cfrom, d *cto, int *m, int *n, d *a, int *lda, int *info) nogil
cdef void dlascl(char *type_bn, int *kl, int *ku, d *cfrom, d *cto, int *m, int *n, d *a, int *lda, int *info) noexcept nogil:
    
    _fortran_dlascl(type_bn, kl, ku, cfrom, cto, m, n, a, lda, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlasd0 "BLAS_FUNC(dlasd0)"(int *n, int *sqre, d *d, d *e, d *u, int *ldu, d *vt, int *ldvt, int *smlsiz, int *iwork, d *work, int *info) nogil
cdef void dlasd0(int *n, int *sqre, d *d, d *e, d *u, int *ldu, d *vt, int *ldvt, int *smlsiz, int *iwork, d *work, int *info) noexcept nogil:
    
    _fortran_dlasd0(n, sqre, d, e, u, ldu, vt, ldvt, smlsiz, iwork, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlasd1 "BLAS_FUNC(dlasd1)"(int *nl, int *nr, int *sqre, d *d, d *alpha, d *beta, d *u, int *ldu, d *vt, int *ldvt, int *idxq, int *iwork, d *work, int *info) nogil
cdef void dlasd1(int *nl, int *nr, int *sqre, d *d, d *alpha, d *beta, d *u, int *ldu, d *vt, int *ldvt, int *idxq, int *iwork, d *work, int *info) noexcept nogil:
    
    _fortran_dlasd1(nl, nr, sqre, d, alpha, beta, u, ldu, vt, ldvt, idxq, iwork, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlasd2 "BLAS_FUNC(dlasd2)"(int *nl, int *nr, int *sqre, int *k, d *d, d *z, d *alpha, d *beta, d *u, int *ldu, d *vt, int *ldvt, d *dsigma, d *u2, int *ldu2, d *vt2, int *ldvt2, int *idxp, int *idx, int *idxc, int *idxq, int *coltyp, int *info) nogil
cdef void dlasd2(int *nl, int *nr, int *sqre, int *k, d *d, d *z, d *alpha, d *beta, d *u, int *ldu, d *vt, int *ldvt, d *dsigma, d *u2, int *ldu2, d *vt2, int *ldvt2, int *idxp, int *idx, int *idxc, int *idxq, int *coltyp, int *info) noexcept nogil:
    
    _fortran_dlasd2(nl, nr, sqre, k, d, z, alpha, beta, u, ldu, vt, ldvt, dsigma, u2, ldu2, vt2, ldvt2, idxp, idx, idxc, idxq, coltyp, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlasd3 "BLAS_FUNC(dlasd3)"(int *nl, int *nr, int *sqre, int *k, d *d, d *q, int *ldq, d *dsigma, d *u, int *ldu, d *u2, int *ldu2, d *vt, int *ldvt, d *vt2, int *ldvt2, int *idxc, int *ctot, d *z, int *info) nogil
cdef void dlasd3(int *nl, int *nr, int *sqre, int *k, d *d, d *q, int *ldq, d *dsigma, d *u, int *ldu, d *u2, int *ldu2, d *vt, int *ldvt, d *vt2, int *ldvt2, int *idxc, int *ctot, d *z, int *info) noexcept nogil:
    
    _fortran_dlasd3(nl, nr, sqre, k, d, q, ldq, dsigma, u, ldu, u2, ldu2, vt, ldvt, vt2, ldvt2, idxc, ctot, z, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlasd4 "BLAS_FUNC(dlasd4)"(int *n, int *i, d *d, d *z, d *delta, d *rho, d *sigma, d *work, int *info) nogil
cdef void dlasd4(int *n, int *i, d *d, d *z, d *delta, d *rho, d *sigma, d *work, int *info) noexcept nogil:
    
    _fortran_dlasd4(n, i, d, z, delta, rho, sigma, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlasd5 "BLAS_FUNC(dlasd5)"(int *i, d *d, d *z, d *delta, d *rho, d *dsigma, d *work) nogil
cdef void dlasd5(int *i, d *d, d *z, d *delta, d *rho, d *dsigma, d *work) noexcept nogil:
    
    _fortran_dlasd5(i, d, z, delta, rho, dsigma, work)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlasd6 "BLAS_FUNC(dlasd6)"(int *icompq, int *nl, int *nr, int *sqre, d *d, d *vf, d *vl, d *alpha, d *beta, int *idxq, int *perm, int *givptr, int *givcol, int *ldgcol, d *givnum, int *ldgnum, d *poles, d *difl, d *difr, d *z, int *k, d *c, d *s, d *work, int *iwork, int *info) nogil
cdef void dlasd6(int *icompq, int *nl, int *nr, int *sqre, d *d, d *vf, d *vl, d *alpha, d *beta, int *idxq, int *perm, int *givptr, int *givcol, int *ldgcol, d *givnum, int *ldgnum, d *poles, d *difl, d *difr, d *z, int *k, d *c, d *s, d *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_dlasd6(icompq, nl, nr, sqre, d, vf, vl, alpha, beta, idxq, perm, givptr, givcol, ldgcol, givnum, ldgnum, poles, difl, difr, z, k, c, s, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlasd7 "BLAS_FUNC(dlasd7)"(int *icompq, int *nl, int *nr, int *sqre, int *k, d *d, d *z, d *zw, d *vf, d *vfw, d *vl, d *vlw, d *alpha, d *beta, d *dsigma, int *idx, int *idxp, int *idxq, int *perm, int *givptr, int *givcol, int *ldgcol, d *givnum, int *ldgnum, d *c, d *s, int *info) nogil
cdef void dlasd7(int *icompq, int *nl, int *nr, int *sqre, int *k, d *d, d *z, d *zw, d *vf, d *vfw, d *vl, d *vlw, d *alpha, d *beta, d *dsigma, int *idx, int *idxp, int *idxq, int *perm, int *givptr, int *givcol, int *ldgcol, d *givnum, int *ldgnum, d *c, d *s, int *info) noexcept nogil:
    
    _fortran_dlasd7(icompq, nl, nr, sqre, k, d, z, zw, vf, vfw, vl, vlw, alpha, beta, dsigma, idx, idxp, idxq, perm, givptr, givcol, ldgcol, givnum, ldgnum, c, s, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlasd8 "BLAS_FUNC(dlasd8)"(int *icompq, int *k, d *d, d *z, d *vf, d *vl, d *difl, d *difr, int *lddifr, d *dsigma, d *work, int *info) nogil
cdef void dlasd8(int *icompq, int *k, d *d, d *z, d *vf, d *vl, d *difl, d *difr, int *lddifr, d *dsigma, d *work, int *info) noexcept nogil:
    
    _fortran_dlasd8(icompq, k, d, z, vf, vl, difl, difr, lddifr, dsigma, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlasda "BLAS_FUNC(dlasda)"(int *icompq, int *smlsiz, int *n, int *sqre, d *d, d *e, d *u, int *ldu, d *vt, int *k, d *difl, d *difr, d *z, d *poles, int *givptr, int *givcol, int *ldgcol, int *perm, d *givnum, d *c, d *s, d *work, int *iwork, int *info) nogil
cdef void dlasda(int *icompq, int *smlsiz, int *n, int *sqre, d *d, d *e, d *u, int *ldu, d *vt, int *k, d *difl, d *difr, d *z, d *poles, int *givptr, int *givcol, int *ldgcol, int *perm, d *givnum, d *c, d *s, d *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_dlasda(icompq, smlsiz, n, sqre, d, e, u, ldu, vt, k, difl, difr, z, poles, givptr, givcol, ldgcol, perm, givnum, c, s, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlasdq "BLAS_FUNC(dlasdq)"(char *uplo, int *sqre, int *n, int *ncvt, int *nru, int *ncc, d *d, d *e, d *vt, int *ldvt, d *u, int *ldu, d *c, int *ldc, d *work, int *info) nogil
cdef void dlasdq(char *uplo, int *sqre, int *n, int *ncvt, int *nru, int *ncc, d *d, d *e, d *vt, int *ldvt, d *u, int *ldu, d *c, int *ldc, d *work, int *info) noexcept nogil:
    
    _fortran_dlasdq(uplo, sqre, n, ncvt, nru, ncc, d, e, vt, ldvt, u, ldu, c, ldc, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlasdt "BLAS_FUNC(dlasdt)"(int *n, int *lvl, int *nd, int *inode, int *ndiml, int *ndimr, int *msub) nogil
cdef void dlasdt(int *n, int *lvl, int *nd, int *inode, int *ndiml, int *ndimr, int *msub) noexcept nogil:
    
    _fortran_dlasdt(n, lvl, nd, inode, ndiml, ndimr, msub)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlaset "BLAS_FUNC(dlaset)"(char *uplo, int *m, int *n, d *alpha, d *beta, d *a, int *lda) nogil
cdef void dlaset(char *uplo, int *m, int *n, d *alpha, d *beta, d *a, int *lda) noexcept nogil:
    
    _fortran_dlaset(uplo, m, n, alpha, beta, a, lda)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlasq1 "BLAS_FUNC(dlasq1)"(int *n, d *d, d *e, d *work, int *info) nogil
cdef void dlasq1(int *n, d *d, d *e, d *work, int *info) noexcept nogil:
    
    _fortran_dlasq1(n, d, e, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlasq2 "BLAS_FUNC(dlasq2)"(int *n, d *z, int *info) nogil
cdef void dlasq2(int *n, d *z, int *info) noexcept nogil:
    
    _fortran_dlasq2(n, z, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlasq3 "BLAS_FUNC(dlasq3)"(int *i0, int *n0, d *z, int *pp, d *dmin, d *sigma, d *desig, d *qmax, int *nfail, int *iter, int *ndiv, bint *ieee, int *ttype, d *dmin1, d *dmin2, d *dn, d *dn1, d *dn2, d *g, d *tau) nogil
cdef void dlasq3(int *i0, int *n0, d *z, int *pp, d *dmin, d *sigma, d *desig, d *qmax, int *nfail, int *iter, int *ndiv, bint *ieee, int *ttype, d *dmin1, d *dmin2, d *dn, d *dn1, d *dn2, d *g, d *tau) noexcept nogil:
    
    _fortran_dlasq3(i0, n0, z, pp, dmin, sigma, desig, qmax, nfail, iter, ndiv, ieee, ttype, dmin1, dmin2, dn, dn1, dn2, g, tau)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlasq4 "BLAS_FUNC(dlasq4)"(int *i0, int *n0, d *z, int *pp, int *n0in, d *dmin, d *dmin1, d *dmin2, d *dn, d *dn1, d *dn2, d *tau, int *ttype, d *g) nogil
cdef void dlasq4(int *i0, int *n0, d *z, int *pp, int *n0in, d *dmin, d *dmin1, d *dmin2, d *dn, d *dn1, d *dn2, d *tau, int *ttype, d *g) noexcept nogil:
    
    _fortran_dlasq4(i0, n0, z, pp, n0in, dmin, dmin1, dmin2, dn, dn1, dn2, tau, ttype, g)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlasq6 "BLAS_FUNC(dlasq6)"(int *i0, int *n0, d *z, int *pp, d *dmin, d *dmin1, d *dmin2, d *dn, d *dnm1, d *dnm2) nogil
cdef void dlasq6(int *i0, int *n0, d *z, int *pp, d *dmin, d *dmin1, d *dmin2, d *dn, d *dnm1, d *dnm2) noexcept nogil:
    
    _fortran_dlasq6(i0, n0, z, pp, dmin, dmin1, dmin2, dn, dnm1, dnm2)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlasr "BLAS_FUNC(dlasr)"(char *side, char *pivot, char *direct, int *m, int *n, d *c, d *s, d *a, int *lda) nogil
cdef void dlasr(char *side, char *pivot, char *direct, int *m, int *n, d *c, d *s, d *a, int *lda) noexcept nogil:
    
    _fortran_dlasr(side, pivot, direct, m, n, c, s, a, lda)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlasrt "BLAS_FUNC(dlasrt)"(char *id, int *n, d *d, int *info) nogil
cdef void dlasrt(char *id, int *n, d *d, int *info) noexcept nogil:
    
    _fortran_dlasrt(id, n, d, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlassq "BLAS_FUNC(dlassq)"(int *n, d *x, int *incx, d *scale, d *sumsq) nogil
cdef void dlassq(int *n, d *x, int *incx, d *scale, d *sumsq) noexcept nogil:
    
    _fortran_dlassq(n, x, incx, scale, sumsq)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlasv2 "BLAS_FUNC(dlasv2)"(d *f, d *g, d *h, d *ssmin, d *ssmax, d *snr, d *csr, d *snl, d *csl) nogil
cdef void dlasv2(d *f, d *g, d *h, d *ssmin, d *ssmax, d *snr, d *csr, d *snl, d *csl) noexcept nogil:
    
    _fortran_dlasv2(f, g, h, ssmin, ssmax, snr, csr, snl, csl)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlaswp "BLAS_FUNC(dlaswp)"(int *n, d *a, int *lda, int *k1, int *k2, int *ipiv, int *incx) nogil
cdef void dlaswp(int *n, d *a, int *lda, int *k1, int *k2, int *ipiv, int *incx) noexcept nogil:
    
    _fortran_dlaswp(n, a, lda, k1, k2, ipiv, incx)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlasy2 "BLAS_FUNC(dlasy2)"(bint *ltranl, bint *ltranr, int *isgn, int *n1, int *n2, d *tl, int *ldtl, d *tr, int *ldtr, d *b, int *ldb, d *scale, d *x, int *ldx, d *xnorm, int *info) nogil
cdef void dlasy2(bint *ltranl, bint *ltranr, int *isgn, int *n1, int *n2, d *tl, int *ldtl, d *tr, int *ldtr, d *b, int *ldb, d *scale, d *x, int *ldx, d *xnorm, int *info) noexcept nogil:
    
    _fortran_dlasy2(ltranl, ltranr, isgn, n1, n2, tl, ldtl, tr, ldtr, b, ldb, scale, x, ldx, xnorm, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlasyf "BLAS_FUNC(dlasyf)"(char *uplo, int *n, int *nb, int *kb, d *a, int *lda, int *ipiv, d *w, int *ldw, int *info) nogil
cdef void dlasyf(char *uplo, int *n, int *nb, int *kb, d *a, int *lda, int *ipiv, d *w, int *ldw, int *info) noexcept nogil:
    
    _fortran_dlasyf(uplo, n, nb, kb, a, lda, ipiv, w, ldw, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlat2s "BLAS_FUNC(dlat2s)"(char *uplo, int *n, d *a, int *lda, s *sa, int *ldsa, int *info) nogil
cdef void dlat2s(char *uplo, int *n, d *a, int *lda, s *sa, int *ldsa, int *info) noexcept nogil:
    
    _fortran_dlat2s(uplo, n, a, lda, sa, ldsa, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlatbs "BLAS_FUNC(dlatbs)"(char *uplo, char *trans, char *diag, char *normin, int *n, int *kd, d *ab, int *ldab, d *x, d *scale, d *cnorm, int *info) nogil
cdef void dlatbs(char *uplo, char *trans, char *diag, char *normin, int *n, int *kd, d *ab, int *ldab, d *x, d *scale, d *cnorm, int *info) noexcept nogil:
    
    _fortran_dlatbs(uplo, trans, diag, normin, n, kd, ab, ldab, x, scale, cnorm, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlatdf "BLAS_FUNC(dlatdf)"(int *ijob, int *n, d *z, int *ldz, d *rhs, d *rdsum, d *rdscal, int *ipiv, int *jpiv) nogil
cdef void dlatdf(int *ijob, int *n, d *z, int *ldz, d *rhs, d *rdsum, d *rdscal, int *ipiv, int *jpiv) noexcept nogil:
    
    _fortran_dlatdf(ijob, n, z, ldz, rhs, rdsum, rdscal, ipiv, jpiv)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlatps "BLAS_FUNC(dlatps)"(char *uplo, char *trans, char *diag, char *normin, int *n, d *ap, d *x, d *scale, d *cnorm, int *info) nogil
cdef void dlatps(char *uplo, char *trans, char *diag, char *normin, int *n, d *ap, d *x, d *scale, d *cnorm, int *info) noexcept nogil:
    
    _fortran_dlatps(uplo, trans, diag, normin, n, ap, x, scale, cnorm, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlatrd "BLAS_FUNC(dlatrd)"(char *uplo, int *n, int *nb, d *a, int *lda, d *e, d *tau, d *w, int *ldw) nogil
cdef void dlatrd(char *uplo, int *n, int *nb, d *a, int *lda, d *e, d *tau, d *w, int *ldw) noexcept nogil:
    
    _fortran_dlatrd(uplo, n, nb, a, lda, e, tau, w, ldw)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlatrs "BLAS_FUNC(dlatrs)"(char *uplo, char *trans, char *diag, char *normin, int *n, d *a, int *lda, d *x, d *scale, d *cnorm, int *info) nogil
cdef void dlatrs(char *uplo, char *trans, char *diag, char *normin, int *n, d *a, int *lda, d *x, d *scale, d *cnorm, int *info) noexcept nogil:
    
    _fortran_dlatrs(uplo, trans, diag, normin, n, a, lda, x, scale, cnorm, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlatrz "BLAS_FUNC(dlatrz)"(int *m, int *n, int *l, d *a, int *lda, d *tau, d *work) nogil
cdef void dlatrz(int *m, int *n, int *l, d *a, int *lda, d *tau, d *work) noexcept nogil:
    
    _fortran_dlatrz(m, n, l, a, lda, tau, work)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlauu2 "BLAS_FUNC(dlauu2)"(char *uplo, int *n, d *a, int *lda, int *info) nogil
cdef void dlauu2(char *uplo, int *n, d *a, int *lda, int *info) noexcept nogil:
    
    _fortran_dlauu2(uplo, n, a, lda, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dlauum "BLAS_FUNC(dlauum)"(char *uplo, int *n, d *a, int *lda, int *info) nogil
cdef void dlauum(char *uplo, int *n, d *a, int *lda, int *info) noexcept nogil:
    
    _fortran_dlauum(uplo, n, a, lda, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dopgtr "BLAS_FUNC(dopgtr)"(char *uplo, int *n, d *ap, d *tau, d *q, int *ldq, d *work, int *info) nogil
cdef void dopgtr(char *uplo, int *n, d *ap, d *tau, d *q, int *ldq, d *work, int *info) noexcept nogil:
    
    _fortran_dopgtr(uplo, n, ap, tau, q, ldq, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dopmtr "BLAS_FUNC(dopmtr)"(char *side, char *uplo, char *trans, int *m, int *n, d *ap, d *tau, d *c, int *ldc, d *work, int *info) nogil
cdef void dopmtr(char *side, char *uplo, char *trans, int *m, int *n, d *ap, d *tau, d *c, int *ldc, d *work, int *info) noexcept nogil:
    
    _fortran_dopmtr(side, uplo, trans, m, n, ap, tau, c, ldc, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dorbdb "BLAS_FUNC(dorbdb)"(char *trans, char *signs, int *m, int *p, int *q, d *x11, int *ldx11, d *x12, int *ldx12, d *x21, int *ldx21, d *x22, int *ldx22, d *theta, d *phi, d *taup1, d *taup2, d *tauq1, d *tauq2, d *work, int *lwork, int *info) nogil
cdef void dorbdb(char *trans, char *signs, int *m, int *p, int *q, d *x11, int *ldx11, d *x12, int *ldx12, d *x21, int *ldx21, d *x22, int *ldx22, d *theta, d *phi, d *taup1, d *taup2, d *tauq1, d *tauq2, d *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_dorbdb(trans, signs, m, p, q, x11, ldx11, x12, ldx12, x21, ldx21, x22, ldx22, theta, phi, taup1, taup2, tauq1, tauq2, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dorcsd "BLAS_FUNC(dorcsd)"(char *jobu1, char *jobu2, char *jobv1t, char *jobv2t, char *trans, char *signs, int *m, int *p, int *q, d *x11, int *ldx11, d *x12, int *ldx12, d *x21, int *ldx21, d *x22, int *ldx22, d *theta, d *u1, int *ldu1, d *u2, int *ldu2, d *v1t, int *ldv1t, d *v2t, int *ldv2t, d *work, int *lwork, int *iwork, int *info) nogil
cdef void dorcsd(char *jobu1, char *jobu2, char *jobv1t, char *jobv2t, char *trans, char *signs, int *m, int *p, int *q, d *x11, int *ldx11, d *x12, int *ldx12, d *x21, int *ldx21, d *x22, int *ldx22, d *theta, d *u1, int *ldu1, d *u2, int *ldu2, d *v1t, int *ldv1t, d *v2t, int *ldv2t, d *work, int *lwork, int *iwork, int *info) noexcept nogil:
    
    _fortran_dorcsd(jobu1, jobu2, jobv1t, jobv2t, trans, signs, m, p, q, x11, ldx11, x12, ldx12, x21, ldx21, x22, ldx22, theta, u1, ldu1, u2, ldu2, v1t, ldv1t, v2t, ldv2t, work, lwork, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dorg2l "BLAS_FUNC(dorg2l)"(int *m, int *n, int *k, d *a, int *lda, d *tau, d *work, int *info) nogil
cdef void dorg2l(int *m, int *n, int *k, d *a, int *lda, d *tau, d *work, int *info) noexcept nogil:
    
    _fortran_dorg2l(m, n, k, a, lda, tau, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dorg2r "BLAS_FUNC(dorg2r)"(int *m, int *n, int *k, d *a, int *lda, d *tau, d *work, int *info) nogil
cdef void dorg2r(int *m, int *n, int *k, d *a, int *lda, d *tau, d *work, int *info) noexcept nogil:
    
    _fortran_dorg2r(m, n, k, a, lda, tau, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dorgbr "BLAS_FUNC(dorgbr)"(char *vect, int *m, int *n, int *k, d *a, int *lda, d *tau, d *work, int *lwork, int *info) nogil
cdef void dorgbr(char *vect, int *m, int *n, int *k, d *a, int *lda, d *tau, d *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_dorgbr(vect, m, n, k, a, lda, tau, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dorghr "BLAS_FUNC(dorghr)"(int *n, int *ilo, int *ihi, d *a, int *lda, d *tau, d *work, int *lwork, int *info) nogil
cdef void dorghr(int *n, int *ilo, int *ihi, d *a, int *lda, d *tau, d *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_dorghr(n, ilo, ihi, a, lda, tau, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dorgl2 "BLAS_FUNC(dorgl2)"(int *m, int *n, int *k, d *a, int *lda, d *tau, d *work, int *info) nogil
cdef void dorgl2(int *m, int *n, int *k, d *a, int *lda, d *tau, d *work, int *info) noexcept nogil:
    
    _fortran_dorgl2(m, n, k, a, lda, tau, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dorglq "BLAS_FUNC(dorglq)"(int *m, int *n, int *k, d *a, int *lda, d *tau, d *work, int *lwork, int *info) nogil
cdef void dorglq(int *m, int *n, int *k, d *a, int *lda, d *tau, d *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_dorglq(m, n, k, a, lda, tau, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dorgql "BLAS_FUNC(dorgql)"(int *m, int *n, int *k, d *a, int *lda, d *tau, d *work, int *lwork, int *info) nogil
cdef void dorgql(int *m, int *n, int *k, d *a, int *lda, d *tau, d *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_dorgql(m, n, k, a, lda, tau, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dorgqr "BLAS_FUNC(dorgqr)"(int *m, int *n, int *k, d *a, int *lda, d *tau, d *work, int *lwork, int *info) nogil
cdef void dorgqr(int *m, int *n, int *k, d *a, int *lda, d *tau, d *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_dorgqr(m, n, k, a, lda, tau, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dorgr2 "BLAS_FUNC(dorgr2)"(int *m, int *n, int *k, d *a, int *lda, d *tau, d *work, int *info) nogil
cdef void dorgr2(int *m, int *n, int *k, d *a, int *lda, d *tau, d *work, int *info) noexcept nogil:
    
    _fortran_dorgr2(m, n, k, a, lda, tau, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dorgrq "BLAS_FUNC(dorgrq)"(int *m, int *n, int *k, d *a, int *lda, d *tau, d *work, int *lwork, int *info) nogil
cdef void dorgrq(int *m, int *n, int *k, d *a, int *lda, d *tau, d *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_dorgrq(m, n, k, a, lda, tau, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dorgtr "BLAS_FUNC(dorgtr)"(char *uplo, int *n, d *a, int *lda, d *tau, d *work, int *lwork, int *info) nogil
cdef void dorgtr(char *uplo, int *n, d *a, int *lda, d *tau, d *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_dorgtr(uplo, n, a, lda, tau, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dorm2l "BLAS_FUNC(dorm2l)"(char *side, char *trans, int *m, int *n, int *k, d *a, int *lda, d *tau, d *c, int *ldc, d *work, int *info) nogil
cdef void dorm2l(char *side, char *trans, int *m, int *n, int *k, d *a, int *lda, d *tau, d *c, int *ldc, d *work, int *info) noexcept nogil:
    
    _fortran_dorm2l(side, trans, m, n, k, a, lda, tau, c, ldc, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dorm2r "BLAS_FUNC(dorm2r)"(char *side, char *trans, int *m, int *n, int *k, d *a, int *lda, d *tau, d *c, int *ldc, d *work, int *info) nogil
cdef void dorm2r(char *side, char *trans, int *m, int *n, int *k, d *a, int *lda, d *tau, d *c, int *ldc, d *work, int *info) noexcept nogil:
    
    _fortran_dorm2r(side, trans, m, n, k, a, lda, tau, c, ldc, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dormbr "BLAS_FUNC(dormbr)"(char *vect, char *side, char *trans, int *m, int *n, int *k, d *a, int *lda, d *tau, d *c, int *ldc, d *work, int *lwork, int *info) nogil
cdef void dormbr(char *vect, char *side, char *trans, int *m, int *n, int *k, d *a, int *lda, d *tau, d *c, int *ldc, d *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_dormbr(vect, side, trans, m, n, k, a, lda, tau, c, ldc, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dormhr "BLAS_FUNC(dormhr)"(char *side, char *trans, int *m, int *n, int *ilo, int *ihi, d *a, int *lda, d *tau, d *c, int *ldc, d *work, int *lwork, int *info) nogil
cdef void dormhr(char *side, char *trans, int *m, int *n, int *ilo, int *ihi, d *a, int *lda, d *tau, d *c, int *ldc, d *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_dormhr(side, trans, m, n, ilo, ihi, a, lda, tau, c, ldc, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dorml2 "BLAS_FUNC(dorml2)"(char *side, char *trans, int *m, int *n, int *k, d *a, int *lda, d *tau, d *c, int *ldc, d *work, int *info) nogil
cdef void dorml2(char *side, char *trans, int *m, int *n, int *k, d *a, int *lda, d *tau, d *c, int *ldc, d *work, int *info) noexcept nogil:
    
    _fortran_dorml2(side, trans, m, n, k, a, lda, tau, c, ldc, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dormlq "BLAS_FUNC(dormlq)"(char *side, char *trans, int *m, int *n, int *k, d *a, int *lda, d *tau, d *c, int *ldc, d *work, int *lwork, int *info) nogil
cdef void dormlq(char *side, char *trans, int *m, int *n, int *k, d *a, int *lda, d *tau, d *c, int *ldc, d *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_dormlq(side, trans, m, n, k, a, lda, tau, c, ldc, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dormql "BLAS_FUNC(dormql)"(char *side, char *trans, int *m, int *n, int *k, d *a, int *lda, d *tau, d *c, int *ldc, d *work, int *lwork, int *info) nogil
cdef void dormql(char *side, char *trans, int *m, int *n, int *k, d *a, int *lda, d *tau, d *c, int *ldc, d *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_dormql(side, trans, m, n, k, a, lda, tau, c, ldc, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dormqr "BLAS_FUNC(dormqr)"(char *side, char *trans, int *m, int *n, int *k, d *a, int *lda, d *tau, d *c, int *ldc, d *work, int *lwork, int *info) nogil
cdef void dormqr(char *side, char *trans, int *m, int *n, int *k, d *a, int *lda, d *tau, d *c, int *ldc, d *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_dormqr(side, trans, m, n, k, a, lda, tau, c, ldc, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dormr2 "BLAS_FUNC(dormr2)"(char *side, char *trans, int *m, int *n, int *k, d *a, int *lda, d *tau, d *c, int *ldc, d *work, int *info) nogil
cdef void dormr2(char *side, char *trans, int *m, int *n, int *k, d *a, int *lda, d *tau, d *c, int *ldc, d *work, int *info) noexcept nogil:
    
    _fortran_dormr2(side, trans, m, n, k, a, lda, tau, c, ldc, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dormr3 "BLAS_FUNC(dormr3)"(char *side, char *trans, int *m, int *n, int *k, int *l, d *a, int *lda, d *tau, d *c, int *ldc, d *work, int *info) nogil
cdef void dormr3(char *side, char *trans, int *m, int *n, int *k, int *l, d *a, int *lda, d *tau, d *c, int *ldc, d *work, int *info) noexcept nogil:
    
    _fortran_dormr3(side, trans, m, n, k, l, a, lda, tau, c, ldc, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dormrq "BLAS_FUNC(dormrq)"(char *side, char *trans, int *m, int *n, int *k, d *a, int *lda, d *tau, d *c, int *ldc, d *work, int *lwork, int *info) nogil
cdef void dormrq(char *side, char *trans, int *m, int *n, int *k, d *a, int *lda, d *tau, d *c, int *ldc, d *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_dormrq(side, trans, m, n, k, a, lda, tau, c, ldc, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dormrz "BLAS_FUNC(dormrz)"(char *side, char *trans, int *m, int *n, int *k, int *l, d *a, int *lda, d *tau, d *c, int *ldc, d *work, int *lwork, int *info) nogil
cdef void dormrz(char *side, char *trans, int *m, int *n, int *k, int *l, d *a, int *lda, d *tau, d *c, int *ldc, d *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_dormrz(side, trans, m, n, k, l, a, lda, tau, c, ldc, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dormtr "BLAS_FUNC(dormtr)"(char *side, char *uplo, char *trans, int *m, int *n, d *a, int *lda, d *tau, d *c, int *ldc, d *work, int *lwork, int *info) nogil
cdef void dormtr(char *side, char *uplo, char *trans, int *m, int *n, d *a, int *lda, d *tau, d *c, int *ldc, d *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_dormtr(side, uplo, trans, m, n, a, lda, tau, c, ldc, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dpbcon "BLAS_FUNC(dpbcon)"(char *uplo, int *n, int *kd, d *ab, int *ldab, d *anorm, d *rcond, d *work, int *iwork, int *info) nogil
cdef void dpbcon(char *uplo, int *n, int *kd, d *ab, int *ldab, d *anorm, d *rcond, d *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_dpbcon(uplo, n, kd, ab, ldab, anorm, rcond, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dpbequ "BLAS_FUNC(dpbequ)"(char *uplo, int *n, int *kd, d *ab, int *ldab, d *s, d *scond, d *amax, int *info) nogil
cdef void dpbequ(char *uplo, int *n, int *kd, d *ab, int *ldab, d *s, d *scond, d *amax, int *info) noexcept nogil:
    
    _fortran_dpbequ(uplo, n, kd, ab, ldab, s, scond, amax, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dpbrfs "BLAS_FUNC(dpbrfs)"(char *uplo, int *n, int *kd, int *nrhs, d *ab, int *ldab, d *afb, int *ldafb, d *b, int *ldb, d *x, int *ldx, d *ferr, d *berr, d *work, int *iwork, int *info) nogil
cdef void dpbrfs(char *uplo, int *n, int *kd, int *nrhs, d *ab, int *ldab, d *afb, int *ldafb, d *b, int *ldb, d *x, int *ldx, d *ferr, d *berr, d *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_dpbrfs(uplo, n, kd, nrhs, ab, ldab, afb, ldafb, b, ldb, x, ldx, ferr, berr, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dpbstf "BLAS_FUNC(dpbstf)"(char *uplo, int *n, int *kd, d *ab, int *ldab, int *info) nogil
cdef void dpbstf(char *uplo, int *n, int *kd, d *ab, int *ldab, int *info) noexcept nogil:
    
    _fortran_dpbstf(uplo, n, kd, ab, ldab, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dpbsv "BLAS_FUNC(dpbsv)"(char *uplo, int *n, int *kd, int *nrhs, d *ab, int *ldab, d *b, int *ldb, int *info) nogil
cdef void dpbsv(char *uplo, int *n, int *kd, int *nrhs, d *ab, int *ldab, d *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_dpbsv(uplo, n, kd, nrhs, ab, ldab, b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dpbsvx "BLAS_FUNC(dpbsvx)"(char *fact, char *uplo, int *n, int *kd, int *nrhs, d *ab, int *ldab, d *afb, int *ldafb, char *equed, d *s, d *b, int *ldb, d *x, int *ldx, d *rcond, d *ferr, d *berr, d *work, int *iwork, int *info) nogil
cdef void dpbsvx(char *fact, char *uplo, int *n, int *kd, int *nrhs, d *ab, int *ldab, d *afb, int *ldafb, char *equed, d *s, d *b, int *ldb, d *x, int *ldx, d *rcond, d *ferr, d *berr, d *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_dpbsvx(fact, uplo, n, kd, nrhs, ab, ldab, afb, ldafb, equed, s, b, ldb, x, ldx, rcond, ferr, berr, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dpbtf2 "BLAS_FUNC(dpbtf2)"(char *uplo, int *n, int *kd, d *ab, int *ldab, int *info) nogil
cdef void dpbtf2(char *uplo, int *n, int *kd, d *ab, int *ldab, int *info) noexcept nogil:
    
    _fortran_dpbtf2(uplo, n, kd, ab, ldab, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dpbtrf "BLAS_FUNC(dpbtrf)"(char *uplo, int *n, int *kd, d *ab, int *ldab, int *info) nogil
cdef void dpbtrf(char *uplo, int *n, int *kd, d *ab, int *ldab, int *info) noexcept nogil:
    
    _fortran_dpbtrf(uplo, n, kd, ab, ldab, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dpbtrs "BLAS_FUNC(dpbtrs)"(char *uplo, int *n, int *kd, int *nrhs, d *ab, int *ldab, d *b, int *ldb, int *info) nogil
cdef void dpbtrs(char *uplo, int *n, int *kd, int *nrhs, d *ab, int *ldab, d *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_dpbtrs(uplo, n, kd, nrhs, ab, ldab, b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dpftrf "BLAS_FUNC(dpftrf)"(char *transr, char *uplo, int *n, d *a, int *info) nogil
cdef void dpftrf(char *transr, char *uplo, int *n, d *a, int *info) noexcept nogil:
    
    _fortran_dpftrf(transr, uplo, n, a, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dpftri "BLAS_FUNC(dpftri)"(char *transr, char *uplo, int *n, d *a, int *info) nogil
cdef void dpftri(char *transr, char *uplo, int *n, d *a, int *info) noexcept nogil:
    
    _fortran_dpftri(transr, uplo, n, a, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dpftrs "BLAS_FUNC(dpftrs)"(char *transr, char *uplo, int *n, int *nrhs, d *a, d *b, int *ldb, int *info) nogil
cdef void dpftrs(char *transr, char *uplo, int *n, int *nrhs, d *a, d *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_dpftrs(transr, uplo, n, nrhs, a, b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dpocon "BLAS_FUNC(dpocon)"(char *uplo, int *n, d *a, int *lda, d *anorm, d *rcond, d *work, int *iwork, int *info) nogil
cdef void dpocon(char *uplo, int *n, d *a, int *lda, d *anorm, d *rcond, d *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_dpocon(uplo, n, a, lda, anorm, rcond, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dpoequ "BLAS_FUNC(dpoequ)"(int *n, d *a, int *lda, d *s, d *scond, d *amax, int *info) nogil
cdef void dpoequ(int *n, d *a, int *lda, d *s, d *scond, d *amax, int *info) noexcept nogil:
    
    _fortran_dpoequ(n, a, lda, s, scond, amax, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dpoequb "BLAS_FUNC(dpoequb)"(int *n, d *a, int *lda, d *s, d *scond, d *amax, int *info) nogil
cdef void dpoequb(int *n, d *a, int *lda, d *s, d *scond, d *amax, int *info) noexcept nogil:
    
    _fortran_dpoequb(n, a, lda, s, scond, amax, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dporfs "BLAS_FUNC(dporfs)"(char *uplo, int *n, int *nrhs, d *a, int *lda, d *af, int *ldaf, d *b, int *ldb, d *x, int *ldx, d *ferr, d *berr, d *work, int *iwork, int *info) nogil
cdef void dporfs(char *uplo, int *n, int *nrhs, d *a, int *lda, d *af, int *ldaf, d *b, int *ldb, d *x, int *ldx, d *ferr, d *berr, d *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_dporfs(uplo, n, nrhs, a, lda, af, ldaf, b, ldb, x, ldx, ferr, berr, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dposv "BLAS_FUNC(dposv)"(char *uplo, int *n, int *nrhs, d *a, int *lda, d *b, int *ldb, int *info) nogil
cdef void dposv(char *uplo, int *n, int *nrhs, d *a, int *lda, d *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_dposv(uplo, n, nrhs, a, lda, b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dposvx "BLAS_FUNC(dposvx)"(char *fact, char *uplo, int *n, int *nrhs, d *a, int *lda, d *af, int *ldaf, char *equed, d *s, d *b, int *ldb, d *x, int *ldx, d *rcond, d *ferr, d *berr, d *work, int *iwork, int *info) nogil
cdef void dposvx(char *fact, char *uplo, int *n, int *nrhs, d *a, int *lda, d *af, int *ldaf, char *equed, d *s, d *b, int *ldb, d *x, int *ldx, d *rcond, d *ferr, d *berr, d *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_dposvx(fact, uplo, n, nrhs, a, lda, af, ldaf, equed, s, b, ldb, x, ldx, rcond, ferr, berr, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dpotf2 "BLAS_FUNC(dpotf2)"(char *uplo, int *n, d *a, int *lda, int *info) nogil
cdef void dpotf2(char *uplo, int *n, d *a, int *lda, int *info) noexcept nogil:
    
    _fortran_dpotf2(uplo, n, a, lda, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dpotrf "BLAS_FUNC(dpotrf)"(char *uplo, int *n, d *a, int *lda, int *info) nogil
cdef void dpotrf(char *uplo, int *n, d *a, int *lda, int *info) noexcept nogil:
    
    _fortran_dpotrf(uplo, n, a, lda, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dpotri "BLAS_FUNC(dpotri)"(char *uplo, int *n, d *a, int *lda, int *info) nogil
cdef void dpotri(char *uplo, int *n, d *a, int *lda, int *info) noexcept nogil:
    
    _fortran_dpotri(uplo, n, a, lda, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dpotrs "BLAS_FUNC(dpotrs)"(char *uplo, int *n, int *nrhs, d *a, int *lda, d *b, int *ldb, int *info) nogil
cdef void dpotrs(char *uplo, int *n, int *nrhs, d *a, int *lda, d *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_dpotrs(uplo, n, nrhs, a, lda, b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dppcon "BLAS_FUNC(dppcon)"(char *uplo, int *n, d *ap, d *anorm, d *rcond, d *work, int *iwork, int *info) nogil
cdef void dppcon(char *uplo, int *n, d *ap, d *anorm, d *rcond, d *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_dppcon(uplo, n, ap, anorm, rcond, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dppequ "BLAS_FUNC(dppequ)"(char *uplo, int *n, d *ap, d *s, d *scond, d *amax, int *info) nogil
cdef void dppequ(char *uplo, int *n, d *ap, d *s, d *scond, d *amax, int *info) noexcept nogil:
    
    _fortran_dppequ(uplo, n, ap, s, scond, amax, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dpprfs "BLAS_FUNC(dpprfs)"(char *uplo, int *n, int *nrhs, d *ap, d *afp, d *b, int *ldb, d *x, int *ldx, d *ferr, d *berr, d *work, int *iwork, int *info) nogil
cdef void dpprfs(char *uplo, int *n, int *nrhs, d *ap, d *afp, d *b, int *ldb, d *x, int *ldx, d *ferr, d *berr, d *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_dpprfs(uplo, n, nrhs, ap, afp, b, ldb, x, ldx, ferr, berr, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dppsv "BLAS_FUNC(dppsv)"(char *uplo, int *n, int *nrhs, d *ap, d *b, int *ldb, int *info) nogil
cdef void dppsv(char *uplo, int *n, int *nrhs, d *ap, d *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_dppsv(uplo, n, nrhs, ap, b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dppsvx "BLAS_FUNC(dppsvx)"(char *fact, char *uplo, int *n, int *nrhs, d *ap, d *afp, char *equed, d *s, d *b, int *ldb, d *x, int *ldx, d *rcond, d *ferr, d *berr, d *work, int *iwork, int *info) nogil
cdef void dppsvx(char *fact, char *uplo, int *n, int *nrhs, d *ap, d *afp, char *equed, d *s, d *b, int *ldb, d *x, int *ldx, d *rcond, d *ferr, d *berr, d *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_dppsvx(fact, uplo, n, nrhs, ap, afp, equed, s, b, ldb, x, ldx, rcond, ferr, berr, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dpptrf "BLAS_FUNC(dpptrf)"(char *uplo, int *n, d *ap, int *info) nogil
cdef void dpptrf(char *uplo, int *n, d *ap, int *info) noexcept nogil:
    
    _fortran_dpptrf(uplo, n, ap, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dpptri "BLAS_FUNC(dpptri)"(char *uplo, int *n, d *ap, int *info) nogil
cdef void dpptri(char *uplo, int *n, d *ap, int *info) noexcept nogil:
    
    _fortran_dpptri(uplo, n, ap, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dpptrs "BLAS_FUNC(dpptrs)"(char *uplo, int *n, int *nrhs, d *ap, d *b, int *ldb, int *info) nogil
cdef void dpptrs(char *uplo, int *n, int *nrhs, d *ap, d *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_dpptrs(uplo, n, nrhs, ap, b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dpstf2 "BLAS_FUNC(dpstf2)"(char *uplo, int *n, d *a, int *lda, int *piv, int *rank, d *tol, d *work, int *info) nogil
cdef void dpstf2(char *uplo, int *n, d *a, int *lda, int *piv, int *rank, d *tol, d *work, int *info) noexcept nogil:
    
    _fortran_dpstf2(uplo, n, a, lda, piv, rank, tol, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dpstrf "BLAS_FUNC(dpstrf)"(char *uplo, int *n, d *a, int *lda, int *piv, int *rank, d *tol, d *work, int *info) nogil
cdef void dpstrf(char *uplo, int *n, d *a, int *lda, int *piv, int *rank, d *tol, d *work, int *info) noexcept nogil:
    
    _fortran_dpstrf(uplo, n, a, lda, piv, rank, tol, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dptcon "BLAS_FUNC(dptcon)"(int *n, d *d, d *e, d *anorm, d *rcond, d *work, int *info) nogil
cdef void dptcon(int *n, d *d, d *e, d *anorm, d *rcond, d *work, int *info) noexcept nogil:
    
    _fortran_dptcon(n, d, e, anorm, rcond, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dpteqr "BLAS_FUNC(dpteqr)"(char *compz, int *n, d *d, d *e, d *z, int *ldz, d *work, int *info) nogil
cdef void dpteqr(char *compz, int *n, d *d, d *e, d *z, int *ldz, d *work, int *info) noexcept nogil:
    
    _fortran_dpteqr(compz, n, d, e, z, ldz, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dptrfs "BLAS_FUNC(dptrfs)"(int *n, int *nrhs, d *d, d *e, d *df, d *ef, d *b, int *ldb, d *x, int *ldx, d *ferr, d *berr, d *work, int *info) nogil
cdef void dptrfs(int *n, int *nrhs, d *d, d *e, d *df, d *ef, d *b, int *ldb, d *x, int *ldx, d *ferr, d *berr, d *work, int *info) noexcept nogil:
    
    _fortran_dptrfs(n, nrhs, d, e, df, ef, b, ldb, x, ldx, ferr, berr, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dptsv "BLAS_FUNC(dptsv)"(int *n, int *nrhs, d *d, d *e, d *b, int *ldb, int *info) nogil
cdef void dptsv(int *n, int *nrhs, d *d, d *e, d *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_dptsv(n, nrhs, d, e, b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dptsvx "BLAS_FUNC(dptsvx)"(char *fact, int *n, int *nrhs, d *d, d *e, d *df, d *ef, d *b, int *ldb, d *x, int *ldx, d *rcond, d *ferr, d *berr, d *work, int *info) nogil
cdef void dptsvx(char *fact, int *n, int *nrhs, d *d, d *e, d *df, d *ef, d *b, int *ldb, d *x, int *ldx, d *rcond, d *ferr, d *berr, d *work, int *info) noexcept nogil:
    
    _fortran_dptsvx(fact, n, nrhs, d, e, df, ef, b, ldb, x, ldx, rcond, ferr, berr, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dpttrf "BLAS_FUNC(dpttrf)"(int *n, d *d, d *e, int *info) nogil
cdef void dpttrf(int *n, d *d, d *e, int *info) noexcept nogil:
    
    _fortran_dpttrf(n, d, e, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dpttrs "BLAS_FUNC(dpttrs)"(int *n, int *nrhs, d *d, d *e, d *b, int *ldb, int *info) nogil
cdef void dpttrs(int *n, int *nrhs, d *d, d *e, d *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_dpttrs(n, nrhs, d, e, b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dptts2 "BLAS_FUNC(dptts2)"(int *n, int *nrhs, d *d, d *e, d *b, int *ldb) nogil
cdef void dptts2(int *n, int *nrhs, d *d, d *e, d *b, int *ldb) noexcept nogil:
    
    _fortran_dptts2(n, nrhs, d, e, b, ldb)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_drscl "BLAS_FUNC(drscl)"(int *n, d *sa, d *sx, int *incx) nogil
cdef void drscl(int *n, d *sa, d *sx, int *incx) noexcept nogil:
    
    _fortran_drscl(n, sa, sx, incx)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dsbev "BLAS_FUNC(dsbev)"(char *jobz, char *uplo, int *n, int *kd, d *ab, int *ldab, d *w, d *z, int *ldz, d *work, int *info) nogil
cdef void dsbev(char *jobz, char *uplo, int *n, int *kd, d *ab, int *ldab, d *w, d *z, int *ldz, d *work, int *info) noexcept nogil:
    
    _fortran_dsbev(jobz, uplo, n, kd, ab, ldab, w, z, ldz, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dsbevd "BLAS_FUNC(dsbevd)"(char *jobz, char *uplo, int *n, int *kd, d *ab, int *ldab, d *w, d *z, int *ldz, d *work, int *lwork, int *iwork, int *liwork, int *info) nogil
cdef void dsbevd(char *jobz, char *uplo, int *n, int *kd, d *ab, int *ldab, d *w, d *z, int *ldz, d *work, int *lwork, int *iwork, int *liwork, int *info) noexcept nogil:
    
    _fortran_dsbevd(jobz, uplo, n, kd, ab, ldab, w, z, ldz, work, lwork, iwork, liwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dsbevx "BLAS_FUNC(dsbevx)"(char *jobz, char *range, char *uplo, int *n, int *kd, d *ab, int *ldab, d *q, int *ldq, d *vl, d *vu, int *il, int *iu, d *abstol, int *m, d *w, d *z, int *ldz, d *work, int *iwork, int *ifail, int *info) nogil
cdef void dsbevx(char *jobz, char *range, char *uplo, int *n, int *kd, d *ab, int *ldab, d *q, int *ldq, d *vl, d *vu, int *il, int *iu, d *abstol, int *m, d *w, d *z, int *ldz, d *work, int *iwork, int *ifail, int *info) noexcept nogil:
    
    _fortran_dsbevx(jobz, range, uplo, n, kd, ab, ldab, q, ldq, vl, vu, il, iu, abstol, m, w, z, ldz, work, iwork, ifail, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dsbgst "BLAS_FUNC(dsbgst)"(char *vect, char *uplo, int *n, int *ka, int *kb, d *ab, int *ldab, d *bb, int *ldbb, d *x, int *ldx, d *work, int *info) nogil
cdef void dsbgst(char *vect, char *uplo, int *n, int *ka, int *kb, d *ab, int *ldab, d *bb, int *ldbb, d *x, int *ldx, d *work, int *info) noexcept nogil:
    
    _fortran_dsbgst(vect, uplo, n, ka, kb, ab, ldab, bb, ldbb, x, ldx, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dsbgv "BLAS_FUNC(dsbgv)"(char *jobz, char *uplo, int *n, int *ka, int *kb, d *ab, int *ldab, d *bb, int *ldbb, d *w, d *z, int *ldz, d *work, int *info) nogil
cdef void dsbgv(char *jobz, char *uplo, int *n, int *ka, int *kb, d *ab, int *ldab, d *bb, int *ldbb, d *w, d *z, int *ldz, d *work, int *info) noexcept nogil:
    
    _fortran_dsbgv(jobz, uplo, n, ka, kb, ab, ldab, bb, ldbb, w, z, ldz, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dsbgvd "BLAS_FUNC(dsbgvd)"(char *jobz, char *uplo, int *n, int *ka, int *kb, d *ab, int *ldab, d *bb, int *ldbb, d *w, d *z, int *ldz, d *work, int *lwork, int *iwork, int *liwork, int *info) nogil
cdef void dsbgvd(char *jobz, char *uplo, int *n, int *ka, int *kb, d *ab, int *ldab, d *bb, int *ldbb, d *w, d *z, int *ldz, d *work, int *lwork, int *iwork, int *liwork, int *info) noexcept nogil:
    
    _fortran_dsbgvd(jobz, uplo, n, ka, kb, ab, ldab, bb, ldbb, w, z, ldz, work, lwork, iwork, liwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dsbgvx "BLAS_FUNC(dsbgvx)"(char *jobz, char *range, char *uplo, int *n, int *ka, int *kb, d *ab, int *ldab, d *bb, int *ldbb, d *q, int *ldq, d *vl, d *vu, int *il, int *iu, d *abstol, int *m, d *w, d *z, int *ldz, d *work, int *iwork, int *ifail, int *info) nogil
cdef void dsbgvx(char *jobz, char *range, char *uplo, int *n, int *ka, int *kb, d *ab, int *ldab, d *bb, int *ldbb, d *q, int *ldq, d *vl, d *vu, int *il, int *iu, d *abstol, int *m, d *w, d *z, int *ldz, d *work, int *iwork, int *ifail, int *info) noexcept nogil:
    
    _fortran_dsbgvx(jobz, range, uplo, n, ka, kb, ab, ldab, bb, ldbb, q, ldq, vl, vu, il, iu, abstol, m, w, z, ldz, work, iwork, ifail, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dsbtrd "BLAS_FUNC(dsbtrd)"(char *vect, char *uplo, int *n, int *kd, d *ab, int *ldab, d *d, d *e, d *q, int *ldq, d *work, int *info) nogil
cdef void dsbtrd(char *vect, char *uplo, int *n, int *kd, d *ab, int *ldab, d *d, d *e, d *q, int *ldq, d *work, int *info) noexcept nogil:
    
    _fortran_dsbtrd(vect, uplo, n, kd, ab, ldab, d, e, q, ldq, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dsfrk "BLAS_FUNC(dsfrk)"(char *transr, char *uplo, char *trans, int *n, int *k, d *alpha, d *a, int *lda, d *beta, d *c) nogil
cdef void dsfrk(char *transr, char *uplo, char *trans, int *n, int *k, d *alpha, d *a, int *lda, d *beta, d *c) noexcept nogil:
    
    _fortran_dsfrk(transr, uplo, trans, n, k, alpha, a, lda, beta, c)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dsgesv "BLAS_FUNC(dsgesv)"(int *n, int *nrhs, d *a, int *lda, int *ipiv, d *b, int *ldb, d *x, int *ldx, d *work, s *swork, int *iter, int *info) nogil
cdef void dsgesv(int *n, int *nrhs, d *a, int *lda, int *ipiv, d *b, int *ldb, d *x, int *ldx, d *work, s *swork, int *iter, int *info) noexcept nogil:
    
    _fortran_dsgesv(n, nrhs, a, lda, ipiv, b, ldb, x, ldx, work, swork, iter, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dspcon "BLAS_FUNC(dspcon)"(char *uplo, int *n, d *ap, int *ipiv, d *anorm, d *rcond, d *work, int *iwork, int *info) nogil
cdef void dspcon(char *uplo, int *n, d *ap, int *ipiv, d *anorm, d *rcond, d *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_dspcon(uplo, n, ap, ipiv, anorm, rcond, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dspev "BLAS_FUNC(dspev)"(char *jobz, char *uplo, int *n, d *ap, d *w, d *z, int *ldz, d *work, int *info) nogil
cdef void dspev(char *jobz, char *uplo, int *n, d *ap, d *w, d *z, int *ldz, d *work, int *info) noexcept nogil:
    
    _fortran_dspev(jobz, uplo, n, ap, w, z, ldz, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dspevd "BLAS_FUNC(dspevd)"(char *jobz, char *uplo, int *n, d *ap, d *w, d *z, int *ldz, d *work, int *lwork, int *iwork, int *liwork, int *info) nogil
cdef void dspevd(char *jobz, char *uplo, int *n, d *ap, d *w, d *z, int *ldz, d *work, int *lwork, int *iwork, int *liwork, int *info) noexcept nogil:
    
    _fortran_dspevd(jobz, uplo, n, ap, w, z, ldz, work, lwork, iwork, liwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dspevx "BLAS_FUNC(dspevx)"(char *jobz, char *range, char *uplo, int *n, d *ap, d *vl, d *vu, int *il, int *iu, d *abstol, int *m, d *w, d *z, int *ldz, d *work, int *iwork, int *ifail, int *info) nogil
cdef void dspevx(char *jobz, char *range, char *uplo, int *n, d *ap, d *vl, d *vu, int *il, int *iu, d *abstol, int *m, d *w, d *z, int *ldz, d *work, int *iwork, int *ifail, int *info) noexcept nogil:
    
    _fortran_dspevx(jobz, range, uplo, n, ap, vl, vu, il, iu, abstol, m, w, z, ldz, work, iwork, ifail, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dspgst "BLAS_FUNC(dspgst)"(int *itype, char *uplo, int *n, d *ap, d *bp, int *info) nogil
cdef void dspgst(int *itype, char *uplo, int *n, d *ap, d *bp, int *info) noexcept nogil:
    
    _fortran_dspgst(itype, uplo, n, ap, bp, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dspgv "BLAS_FUNC(dspgv)"(int *itype, char *jobz, char *uplo, int *n, d *ap, d *bp, d *w, d *z, int *ldz, d *work, int *info) nogil
cdef void dspgv(int *itype, char *jobz, char *uplo, int *n, d *ap, d *bp, d *w, d *z, int *ldz, d *work, int *info) noexcept nogil:
    
    _fortran_dspgv(itype, jobz, uplo, n, ap, bp, w, z, ldz, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dspgvd "BLAS_FUNC(dspgvd)"(int *itype, char *jobz, char *uplo, int *n, d *ap, d *bp, d *w, d *z, int *ldz, d *work, int *lwork, int *iwork, int *liwork, int *info) nogil
cdef void dspgvd(int *itype, char *jobz, char *uplo, int *n, d *ap, d *bp, d *w, d *z, int *ldz, d *work, int *lwork, int *iwork, int *liwork, int *info) noexcept nogil:
    
    _fortran_dspgvd(itype, jobz, uplo, n, ap, bp, w, z, ldz, work, lwork, iwork, liwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dspgvx "BLAS_FUNC(dspgvx)"(int *itype, char *jobz, char *range, char *uplo, int *n, d *ap, d *bp, d *vl, d *vu, int *il, int *iu, d *abstol, int *m, d *w, d *z, int *ldz, d *work, int *iwork, int *ifail, int *info) nogil
cdef void dspgvx(int *itype, char *jobz, char *range, char *uplo, int *n, d *ap, d *bp, d *vl, d *vu, int *il, int *iu, d *abstol, int *m, d *w, d *z, int *ldz, d *work, int *iwork, int *ifail, int *info) noexcept nogil:
    
    _fortran_dspgvx(itype, jobz, range, uplo, n, ap, bp, vl, vu, il, iu, abstol, m, w, z, ldz, work, iwork, ifail, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dsposv "BLAS_FUNC(dsposv)"(char *uplo, int *n, int *nrhs, d *a, int *lda, d *b, int *ldb, d *x, int *ldx, d *work, s *swork, int *iter, int *info) nogil
cdef void dsposv(char *uplo, int *n, int *nrhs, d *a, int *lda, d *b, int *ldb, d *x, int *ldx, d *work, s *swork, int *iter, int *info) noexcept nogil:
    
    _fortran_dsposv(uplo, n, nrhs, a, lda, b, ldb, x, ldx, work, swork, iter, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dsprfs "BLAS_FUNC(dsprfs)"(char *uplo, int *n, int *nrhs, d *ap, d *afp, int *ipiv, d *b, int *ldb, d *x, int *ldx, d *ferr, d *berr, d *work, int *iwork, int *info) nogil
cdef void dsprfs(char *uplo, int *n, int *nrhs, d *ap, d *afp, int *ipiv, d *b, int *ldb, d *x, int *ldx, d *ferr, d *berr, d *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_dsprfs(uplo, n, nrhs, ap, afp, ipiv, b, ldb, x, ldx, ferr, berr, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dspsv "BLAS_FUNC(dspsv)"(char *uplo, int *n, int *nrhs, d *ap, int *ipiv, d *b, int *ldb, int *info) nogil
cdef void dspsv(char *uplo, int *n, int *nrhs, d *ap, int *ipiv, d *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_dspsv(uplo, n, nrhs, ap, ipiv, b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dspsvx "BLAS_FUNC(dspsvx)"(char *fact, char *uplo, int *n, int *nrhs, d *ap, d *afp, int *ipiv, d *b, int *ldb, d *x, int *ldx, d *rcond, d *ferr, d *berr, d *work, int *iwork, int *info) nogil
cdef void dspsvx(char *fact, char *uplo, int *n, int *nrhs, d *ap, d *afp, int *ipiv, d *b, int *ldb, d *x, int *ldx, d *rcond, d *ferr, d *berr, d *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_dspsvx(fact, uplo, n, nrhs, ap, afp, ipiv, b, ldb, x, ldx, rcond, ferr, berr, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dsptrd "BLAS_FUNC(dsptrd)"(char *uplo, int *n, d *ap, d *d, d *e, d *tau, int *info) nogil
cdef void dsptrd(char *uplo, int *n, d *ap, d *d, d *e, d *tau, int *info) noexcept nogil:
    
    _fortran_dsptrd(uplo, n, ap, d, e, tau, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dsptrf "BLAS_FUNC(dsptrf)"(char *uplo, int *n, d *ap, int *ipiv, int *info) nogil
cdef void dsptrf(char *uplo, int *n, d *ap, int *ipiv, int *info) noexcept nogil:
    
    _fortran_dsptrf(uplo, n, ap, ipiv, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dsptri "BLAS_FUNC(dsptri)"(char *uplo, int *n, d *ap, int *ipiv, d *work, int *info) nogil
cdef void dsptri(char *uplo, int *n, d *ap, int *ipiv, d *work, int *info) noexcept nogil:
    
    _fortran_dsptri(uplo, n, ap, ipiv, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dsptrs "BLAS_FUNC(dsptrs)"(char *uplo, int *n, int *nrhs, d *ap, int *ipiv, d *b, int *ldb, int *info) nogil
cdef void dsptrs(char *uplo, int *n, int *nrhs, d *ap, int *ipiv, d *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_dsptrs(uplo, n, nrhs, ap, ipiv, b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dstebz "BLAS_FUNC(dstebz)"(char *range, char *order, int *n, d *vl, d *vu, int *il, int *iu, d *abstol, d *d, d *e, int *m, int *nsplit, d *w, int *iblock, int *isplit, d *work, int *iwork, int *info) nogil
cdef void dstebz(char *range, char *order, int *n, d *vl, d *vu, int *il, int *iu, d *abstol, d *d, d *e, int *m, int *nsplit, d *w, int *iblock, int *isplit, d *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_dstebz(range, order, n, vl, vu, il, iu, abstol, d, e, m, nsplit, w, iblock, isplit, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dstedc "BLAS_FUNC(dstedc)"(char *compz, int *n, d *d, d *e, d *z, int *ldz, d *work, int *lwork, int *iwork, int *liwork, int *info) nogil
cdef void dstedc(char *compz, int *n, d *d, d *e, d *z, int *ldz, d *work, int *lwork, int *iwork, int *liwork, int *info) noexcept nogil:
    
    _fortran_dstedc(compz, n, d, e, z, ldz, work, lwork, iwork, liwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dstegr "BLAS_FUNC(dstegr)"(char *jobz, char *range, int *n, d *d, d *e, d *vl, d *vu, int *il, int *iu, d *abstol, int *m, d *w, d *z, int *ldz, int *isuppz, d *work, int *lwork, int *iwork, int *liwork, int *info) nogil
cdef void dstegr(char *jobz, char *range, int *n, d *d, d *e, d *vl, d *vu, int *il, int *iu, d *abstol, int *m, d *w, d *z, int *ldz, int *isuppz, d *work, int *lwork, int *iwork, int *liwork, int *info) noexcept nogil:
    
    _fortran_dstegr(jobz, range, n, d, e, vl, vu, il, iu, abstol, m, w, z, ldz, isuppz, work, lwork, iwork, liwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dstein "BLAS_FUNC(dstein)"(int *n, d *d, d *e, int *m, d *w, int *iblock, int *isplit, d *z, int *ldz, d *work, int *iwork, int *ifail, int *info) nogil
cdef void dstein(int *n, d *d, d *e, int *m, d *w, int *iblock, int *isplit, d *z, int *ldz, d *work, int *iwork, int *ifail, int *info) noexcept nogil:
    
    _fortran_dstein(n, d, e, m, w, iblock, isplit, z, ldz, work, iwork, ifail, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dstemr "BLAS_FUNC(dstemr)"(char *jobz, char *range, int *n, d *d, d *e, d *vl, d *vu, int *il, int *iu, int *m, d *w, d *z, int *ldz, int *nzc, int *isuppz, bint *tryrac, d *work, int *lwork, int *iwork, int *liwork, int *info) nogil
cdef void dstemr(char *jobz, char *range, int *n, d *d, d *e, d *vl, d *vu, int *il, int *iu, int *m, d *w, d *z, int *ldz, int *nzc, int *isuppz, bint *tryrac, d *work, int *lwork, int *iwork, int *liwork, int *info) noexcept nogil:
    
    _fortran_dstemr(jobz, range, n, d, e, vl, vu, il, iu, m, w, z, ldz, nzc, isuppz, tryrac, work, lwork, iwork, liwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dsteqr "BLAS_FUNC(dsteqr)"(char *compz, int *n, d *d, d *e, d *z, int *ldz, d *work, int *info) nogil
cdef void dsteqr(char *compz, int *n, d *d, d *e, d *z, int *ldz, d *work, int *info) noexcept nogil:
    
    _fortran_dsteqr(compz, n, d, e, z, ldz, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dsterf "BLAS_FUNC(dsterf)"(int *n, d *d, d *e, int *info) nogil
cdef void dsterf(int *n, d *d, d *e, int *info) noexcept nogil:
    
    _fortran_dsterf(n, d, e, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dstev "BLAS_FUNC(dstev)"(char *jobz, int *n, d *d, d *e, d *z, int *ldz, d *work, int *info) nogil
cdef void dstev(char *jobz, int *n, d *d, d *e, d *z, int *ldz, d *work, int *info) noexcept nogil:
    
    _fortran_dstev(jobz, n, d, e, z, ldz, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dstevd "BLAS_FUNC(dstevd)"(char *jobz, int *n, d *d, d *e, d *z, int *ldz, d *work, int *lwork, int *iwork, int *liwork, int *info) nogil
cdef void dstevd(char *jobz, int *n, d *d, d *e, d *z, int *ldz, d *work, int *lwork, int *iwork, int *liwork, int *info) noexcept nogil:
    
    _fortran_dstevd(jobz, n, d, e, z, ldz, work, lwork, iwork, liwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dstevr "BLAS_FUNC(dstevr)"(char *jobz, char *range, int *n, d *d, d *e, d *vl, d *vu, int *il, int *iu, d *abstol, int *m, d *w, d *z, int *ldz, int *isuppz, d *work, int *lwork, int *iwork, int *liwork, int *info) nogil
cdef void dstevr(char *jobz, char *range, int *n, d *d, d *e, d *vl, d *vu, int *il, int *iu, d *abstol, int *m, d *w, d *z, int *ldz, int *isuppz, d *work, int *lwork, int *iwork, int *liwork, int *info) noexcept nogil:
    
    _fortran_dstevr(jobz, range, n, d, e, vl, vu, il, iu, abstol, m, w, z, ldz, isuppz, work, lwork, iwork, liwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dstevx "BLAS_FUNC(dstevx)"(char *jobz, char *range, int *n, d *d, d *e, d *vl, d *vu, int *il, int *iu, d *abstol, int *m, d *w, d *z, int *ldz, d *work, int *iwork, int *ifail, int *info) nogil
cdef void dstevx(char *jobz, char *range, int *n, d *d, d *e, d *vl, d *vu, int *il, int *iu, d *abstol, int *m, d *w, d *z, int *ldz, d *work, int *iwork, int *ifail, int *info) noexcept nogil:
    
    _fortran_dstevx(jobz, range, n, d, e, vl, vu, il, iu, abstol, m, w, z, ldz, work, iwork, ifail, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dsycon "BLAS_FUNC(dsycon)"(char *uplo, int *n, d *a, int *lda, int *ipiv, d *anorm, d *rcond, d *work, int *iwork, int *info) nogil
cdef void dsycon(char *uplo, int *n, d *a, int *lda, int *ipiv, d *anorm, d *rcond, d *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_dsycon(uplo, n, a, lda, ipiv, anorm, rcond, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dsyconv "BLAS_FUNC(dsyconv)"(char *uplo, char *way, int *n, d *a, int *lda, int *ipiv, d *work, int *info) nogil
cdef void dsyconv(char *uplo, char *way, int *n, d *a, int *lda, int *ipiv, d *work, int *info) noexcept nogil:
    
    _fortran_dsyconv(uplo, way, n, a, lda, ipiv, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dsyequb "BLAS_FUNC(dsyequb)"(char *uplo, int *n, d *a, int *lda, d *s, d *scond, d *amax, d *work, int *info) nogil
cdef void dsyequb(char *uplo, int *n, d *a, int *lda, d *s, d *scond, d *amax, d *work, int *info) noexcept nogil:
    
    _fortran_dsyequb(uplo, n, a, lda, s, scond, amax, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dsyev "BLAS_FUNC(dsyev)"(char *jobz, char *uplo, int *n, d *a, int *lda, d *w, d *work, int *lwork, int *info) nogil
cdef void dsyev(char *jobz, char *uplo, int *n, d *a, int *lda, d *w, d *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_dsyev(jobz, uplo, n, a, lda, w, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dsyevd "BLAS_FUNC(dsyevd)"(char *jobz, char *uplo, int *n, d *a, int *lda, d *w, d *work, int *lwork, int *iwork, int *liwork, int *info) nogil
cdef void dsyevd(char *jobz, char *uplo, int *n, d *a, int *lda, d *w, d *work, int *lwork, int *iwork, int *liwork, int *info) noexcept nogil:
    
    _fortran_dsyevd(jobz, uplo, n, a, lda, w, work, lwork, iwork, liwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dsyevr "BLAS_FUNC(dsyevr)"(char *jobz, char *range, char *uplo, int *n, d *a, int *lda, d *vl, d *vu, int *il, int *iu, d *abstol, int *m, d *w, d *z, int *ldz, int *isuppz, d *work, int *lwork, int *iwork, int *liwork, int *info) nogil
cdef void dsyevr(char *jobz, char *range, char *uplo, int *n, d *a, int *lda, d *vl, d *vu, int *il, int *iu, d *abstol, int *m, d *w, d *z, int *ldz, int *isuppz, d *work, int *lwork, int *iwork, int *liwork, int *info) noexcept nogil:
    
    _fortran_dsyevr(jobz, range, uplo, n, a, lda, vl, vu, il, iu, abstol, m, w, z, ldz, isuppz, work, lwork, iwork, liwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dsyevx "BLAS_FUNC(dsyevx)"(char *jobz, char *range, char *uplo, int *n, d *a, int *lda, d *vl, d *vu, int *il, int *iu, d *abstol, int *m, d *w, d *z, int *ldz, d *work, int *lwork, int *iwork, int *ifail, int *info) nogil
cdef void dsyevx(char *jobz, char *range, char *uplo, int *n, d *a, int *lda, d *vl, d *vu, int *il, int *iu, d *abstol, int *m, d *w, d *z, int *ldz, d *work, int *lwork, int *iwork, int *ifail, int *info) noexcept nogil:
    
    _fortran_dsyevx(jobz, range, uplo, n, a, lda, vl, vu, il, iu, abstol, m, w, z, ldz, work, lwork, iwork, ifail, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dsygs2 "BLAS_FUNC(dsygs2)"(int *itype, char *uplo, int *n, d *a, int *lda, d *b, int *ldb, int *info) nogil
cdef void dsygs2(int *itype, char *uplo, int *n, d *a, int *lda, d *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_dsygs2(itype, uplo, n, a, lda, b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dsygst "BLAS_FUNC(dsygst)"(int *itype, char *uplo, int *n, d *a, int *lda, d *b, int *ldb, int *info) nogil
cdef void dsygst(int *itype, char *uplo, int *n, d *a, int *lda, d *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_dsygst(itype, uplo, n, a, lda, b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dsygv "BLAS_FUNC(dsygv)"(int *itype, char *jobz, char *uplo, int *n, d *a, int *lda, d *b, int *ldb, d *w, d *work, int *lwork, int *info) nogil
cdef void dsygv(int *itype, char *jobz, char *uplo, int *n, d *a, int *lda, d *b, int *ldb, d *w, d *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_dsygv(itype, jobz, uplo, n, a, lda, b, ldb, w, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dsygvd "BLAS_FUNC(dsygvd)"(int *itype, char *jobz, char *uplo, int *n, d *a, int *lda, d *b, int *ldb, d *w, d *work, int *lwork, int *iwork, int *liwork, int *info) nogil
cdef void dsygvd(int *itype, char *jobz, char *uplo, int *n, d *a, int *lda, d *b, int *ldb, d *w, d *work, int *lwork, int *iwork, int *liwork, int *info) noexcept nogil:
    
    _fortran_dsygvd(itype, jobz, uplo, n, a, lda, b, ldb, w, work, lwork, iwork, liwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dsygvx "BLAS_FUNC(dsygvx)"(int *itype, char *jobz, char *range, char *uplo, int *n, d *a, int *lda, d *b, int *ldb, d *vl, d *vu, int *il, int *iu, d *abstol, int *m, d *w, d *z, int *ldz, d *work, int *lwork, int *iwork, int *ifail, int *info) nogil
cdef void dsygvx(int *itype, char *jobz, char *range, char *uplo, int *n, d *a, int *lda, d *b, int *ldb, d *vl, d *vu, int *il, int *iu, d *abstol, int *m, d *w, d *z, int *ldz, d *work, int *lwork, int *iwork, int *ifail, int *info) noexcept nogil:
    
    _fortran_dsygvx(itype, jobz, range, uplo, n, a, lda, b, ldb, vl, vu, il, iu, abstol, m, w, z, ldz, work, lwork, iwork, ifail, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dsyrfs "BLAS_FUNC(dsyrfs)"(char *uplo, int *n, int *nrhs, d *a, int *lda, d *af, int *ldaf, int *ipiv, d *b, int *ldb, d *x, int *ldx, d *ferr, d *berr, d *work, int *iwork, int *info) nogil
cdef void dsyrfs(char *uplo, int *n, int *nrhs, d *a, int *lda, d *af, int *ldaf, int *ipiv, d *b, int *ldb, d *x, int *ldx, d *ferr, d *berr, d *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_dsyrfs(uplo, n, nrhs, a, lda, af, ldaf, ipiv, b, ldb, x, ldx, ferr, berr, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dsysv "BLAS_FUNC(dsysv)"(char *uplo, int *n, int *nrhs, d *a, int *lda, int *ipiv, d *b, int *ldb, d *work, int *lwork, int *info) nogil
cdef void dsysv(char *uplo, int *n, int *nrhs, d *a, int *lda, int *ipiv, d *b, int *ldb, d *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_dsysv(uplo, n, nrhs, a, lda, ipiv, b, ldb, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dsysvx "BLAS_FUNC(dsysvx)"(char *fact, char *uplo, int *n, int *nrhs, d *a, int *lda, d *af, int *ldaf, int *ipiv, d *b, int *ldb, d *x, int *ldx, d *rcond, d *ferr, d *berr, d *work, int *lwork, int *iwork, int *info) nogil
cdef void dsysvx(char *fact, char *uplo, int *n, int *nrhs, d *a, int *lda, d *af, int *ldaf, int *ipiv, d *b, int *ldb, d *x, int *ldx, d *rcond, d *ferr, d *berr, d *work, int *lwork, int *iwork, int *info) noexcept nogil:
    
    _fortran_dsysvx(fact, uplo, n, nrhs, a, lda, af, ldaf, ipiv, b, ldb, x, ldx, rcond, ferr, berr, work, lwork, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dsyswapr "BLAS_FUNC(dsyswapr)"(char *uplo, int *n, d *a, int *lda, int *i1, int *i2) nogil
cdef void dsyswapr(char *uplo, int *n, d *a, int *lda, int *i1, int *i2) noexcept nogil:
    
    _fortran_dsyswapr(uplo, n, a, lda, i1, i2)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dsytd2 "BLAS_FUNC(dsytd2)"(char *uplo, int *n, d *a, int *lda, d *d, d *e, d *tau, int *info) nogil
cdef void dsytd2(char *uplo, int *n, d *a, int *lda, d *d, d *e, d *tau, int *info) noexcept nogil:
    
    _fortran_dsytd2(uplo, n, a, lda, d, e, tau, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dsytf2 "BLAS_FUNC(dsytf2)"(char *uplo, int *n, d *a, int *lda, int *ipiv, int *info) nogil
cdef void dsytf2(char *uplo, int *n, d *a, int *lda, int *ipiv, int *info) noexcept nogil:
    
    _fortran_dsytf2(uplo, n, a, lda, ipiv, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dsytrd "BLAS_FUNC(dsytrd)"(char *uplo, int *n, d *a, int *lda, d *d, d *e, d *tau, d *work, int *lwork, int *info) nogil
cdef void dsytrd(char *uplo, int *n, d *a, int *lda, d *d, d *e, d *tau, d *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_dsytrd(uplo, n, a, lda, d, e, tau, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dsytrf "BLAS_FUNC(dsytrf)"(char *uplo, int *n, d *a, int *lda, int *ipiv, d *work, int *lwork, int *info) nogil
cdef void dsytrf(char *uplo, int *n, d *a, int *lda, int *ipiv, d *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_dsytrf(uplo, n, a, lda, ipiv, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dsytri "BLAS_FUNC(dsytri)"(char *uplo, int *n, d *a, int *lda, int *ipiv, d *work, int *info) nogil
cdef void dsytri(char *uplo, int *n, d *a, int *lda, int *ipiv, d *work, int *info) noexcept nogil:
    
    _fortran_dsytri(uplo, n, a, lda, ipiv, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dsytri2 "BLAS_FUNC(dsytri2)"(char *uplo, int *n, d *a, int *lda, int *ipiv, d *work, int *lwork, int *info) nogil
cdef void dsytri2(char *uplo, int *n, d *a, int *lda, int *ipiv, d *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_dsytri2(uplo, n, a, lda, ipiv, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dsytri2x "BLAS_FUNC(dsytri2x)"(char *uplo, int *n, d *a, int *lda, int *ipiv, d *work, int *nb, int *info) nogil
cdef void dsytri2x(char *uplo, int *n, d *a, int *lda, int *ipiv, d *work, int *nb, int *info) noexcept nogil:
    
    _fortran_dsytri2x(uplo, n, a, lda, ipiv, work, nb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dsytrs "BLAS_FUNC(dsytrs)"(char *uplo, int *n, int *nrhs, d *a, int *lda, int *ipiv, d *b, int *ldb, int *info) nogil
cdef void dsytrs(char *uplo, int *n, int *nrhs, d *a, int *lda, int *ipiv, d *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_dsytrs(uplo, n, nrhs, a, lda, ipiv, b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dsytrs2 "BLAS_FUNC(dsytrs2)"(char *uplo, int *n, int *nrhs, d *a, int *lda, int *ipiv, d *b, int *ldb, d *work, int *info) nogil
cdef void dsytrs2(char *uplo, int *n, int *nrhs, d *a, int *lda, int *ipiv, d *b, int *ldb, d *work, int *info) noexcept nogil:
    
    _fortran_dsytrs2(uplo, n, nrhs, a, lda, ipiv, b, ldb, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dtbcon "BLAS_FUNC(dtbcon)"(char *norm, char *uplo, char *diag, int *n, int *kd, d *ab, int *ldab, d *rcond, d *work, int *iwork, int *info) nogil
cdef void dtbcon(char *norm, char *uplo, char *diag, int *n, int *kd, d *ab, int *ldab, d *rcond, d *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_dtbcon(norm, uplo, diag, n, kd, ab, ldab, rcond, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dtbrfs "BLAS_FUNC(dtbrfs)"(char *uplo, char *trans, char *diag, int *n, int *kd, int *nrhs, d *ab, int *ldab, d *b, int *ldb, d *x, int *ldx, d *ferr, d *berr, d *work, int *iwork, int *info) nogil
cdef void dtbrfs(char *uplo, char *trans, char *diag, int *n, int *kd, int *nrhs, d *ab, int *ldab, d *b, int *ldb, d *x, int *ldx, d *ferr, d *berr, d *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_dtbrfs(uplo, trans, diag, n, kd, nrhs, ab, ldab, b, ldb, x, ldx, ferr, berr, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dtbtrs "BLAS_FUNC(dtbtrs)"(char *uplo, char *trans, char *diag, int *n, int *kd, int *nrhs, d *ab, int *ldab, d *b, int *ldb, int *info) nogil
cdef void dtbtrs(char *uplo, char *trans, char *diag, int *n, int *kd, int *nrhs, d *ab, int *ldab, d *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_dtbtrs(uplo, trans, diag, n, kd, nrhs, ab, ldab, b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dtfsm "BLAS_FUNC(dtfsm)"(char *transr, char *side, char *uplo, char *trans, char *diag, int *m, int *n, d *alpha, d *a, d *b, int *ldb) nogil
cdef void dtfsm(char *transr, char *side, char *uplo, char *trans, char *diag, int *m, int *n, d *alpha, d *a, d *b, int *ldb) noexcept nogil:
    
    _fortran_dtfsm(transr, side, uplo, trans, diag, m, n, alpha, a, b, ldb)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dtftri "BLAS_FUNC(dtftri)"(char *transr, char *uplo, char *diag, int *n, d *a, int *info) nogil
cdef void dtftri(char *transr, char *uplo, char *diag, int *n, d *a, int *info) noexcept nogil:
    
    _fortran_dtftri(transr, uplo, diag, n, a, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dtfttp "BLAS_FUNC(dtfttp)"(char *transr, char *uplo, int *n, d *arf, d *ap, int *info) nogil
cdef void dtfttp(char *transr, char *uplo, int *n, d *arf, d *ap, int *info) noexcept nogil:
    
    _fortran_dtfttp(transr, uplo, n, arf, ap, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dtfttr "BLAS_FUNC(dtfttr)"(char *transr, char *uplo, int *n, d *arf, d *a, int *lda, int *info) nogil
cdef void dtfttr(char *transr, char *uplo, int *n, d *arf, d *a, int *lda, int *info) noexcept nogil:
    
    _fortran_dtfttr(transr, uplo, n, arf, a, lda, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dtgevc "BLAS_FUNC(dtgevc)"(char *side, char *howmny, bint *select, int *n, d *s, int *lds, d *p, int *ldp, d *vl, int *ldvl, d *vr, int *ldvr, int *mm, int *m, d *work, int *info) nogil
cdef void dtgevc(char *side, char *howmny, bint *select, int *n, d *s, int *lds, d *p, int *ldp, d *vl, int *ldvl, d *vr, int *ldvr, int *mm, int *m, d *work, int *info) noexcept nogil:
    
    _fortran_dtgevc(side, howmny, select, n, s, lds, p, ldp, vl, ldvl, vr, ldvr, mm, m, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dtgex2 "BLAS_FUNC(dtgex2)"(bint *wantq, bint *wantz, int *n, d *a, int *lda, d *b, int *ldb, d *q, int *ldq, d *z, int *ldz, int *j1, int *n1, int *n2, d *work, int *lwork, int *info) nogil
cdef void dtgex2(bint *wantq, bint *wantz, int *n, d *a, int *lda, d *b, int *ldb, d *q, int *ldq, d *z, int *ldz, int *j1, int *n1, int *n2, d *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_dtgex2(wantq, wantz, n, a, lda, b, ldb, q, ldq, z, ldz, j1, n1, n2, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dtgexc "BLAS_FUNC(dtgexc)"(bint *wantq, bint *wantz, int *n, d *a, int *lda, d *b, int *ldb, d *q, int *ldq, d *z, int *ldz, int *ifst, int *ilst, d *work, int *lwork, int *info) nogil
cdef void dtgexc(bint *wantq, bint *wantz, int *n, d *a, int *lda, d *b, int *ldb, d *q, int *ldq, d *z, int *ldz, int *ifst, int *ilst, d *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_dtgexc(wantq, wantz, n, a, lda, b, ldb, q, ldq, z, ldz, ifst, ilst, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dtgsen "BLAS_FUNC(dtgsen)"(int *ijob, bint *wantq, bint *wantz, bint *select, int *n, d *a, int *lda, d *b, int *ldb, d *alphar, d *alphai, d *beta, d *q, int *ldq, d *z, int *ldz, int *m, d *pl, d *pr, d *dif, d *work, int *lwork, int *iwork, int *liwork, int *info) nogil
cdef void dtgsen(int *ijob, bint *wantq, bint *wantz, bint *select, int *n, d *a, int *lda, d *b, int *ldb, d *alphar, d *alphai, d *beta, d *q, int *ldq, d *z, int *ldz, int *m, d *pl, d *pr, d *dif, d *work, int *lwork, int *iwork, int *liwork, int *info) noexcept nogil:
    
    _fortran_dtgsen(ijob, wantq, wantz, select, n, a, lda, b, ldb, alphar, alphai, beta, q, ldq, z, ldz, m, pl, pr, dif, work, lwork, iwork, liwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dtgsja "BLAS_FUNC(dtgsja)"(char *jobu, char *jobv, char *jobq, int *m, int *p, int *n, int *k, int *l, d *a, int *lda, d *b, int *ldb, d *tola, d *tolb, d *alpha, d *beta, d *u, int *ldu, d *v, int *ldv, d *q, int *ldq, d *work, int *ncycle, int *info) nogil
cdef void dtgsja(char *jobu, char *jobv, char *jobq, int *m, int *p, int *n, int *k, int *l, d *a, int *lda, d *b, int *ldb, d *tola, d *tolb, d *alpha, d *beta, d *u, int *ldu, d *v, int *ldv, d *q, int *ldq, d *work, int *ncycle, int *info) noexcept nogil:
    
    _fortran_dtgsja(jobu, jobv, jobq, m, p, n, k, l, a, lda, b, ldb, tola, tolb, alpha, beta, u, ldu, v, ldv, q, ldq, work, ncycle, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dtgsna "BLAS_FUNC(dtgsna)"(char *job, char *howmny, bint *select, int *n, d *a, int *lda, d *b, int *ldb, d *vl, int *ldvl, d *vr, int *ldvr, d *s, d *dif, int *mm, int *m, d *work, int *lwork, int *iwork, int *info) nogil
cdef void dtgsna(char *job, char *howmny, bint *select, int *n, d *a, int *lda, d *b, int *ldb, d *vl, int *ldvl, d *vr, int *ldvr, d *s, d *dif, int *mm, int *m, d *work, int *lwork, int *iwork, int *info) noexcept nogil:
    
    _fortran_dtgsna(job, howmny, select, n, a, lda, b, ldb, vl, ldvl, vr, ldvr, s, dif, mm, m, work, lwork, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dtgsy2 "BLAS_FUNC(dtgsy2)"(char *trans, int *ijob, int *m, int *n, d *a, int *lda, d *b, int *ldb, d *c, int *ldc, d *d, int *ldd, d *e, int *lde, d *f, int *ldf, d *scale, d *rdsum, d *rdscal, int *iwork, int *pq, int *info) nogil
cdef void dtgsy2(char *trans, int *ijob, int *m, int *n, d *a, int *lda, d *b, int *ldb, d *c, int *ldc, d *d, int *ldd, d *e, int *lde, d *f, int *ldf, d *scale, d *rdsum, d *rdscal, int *iwork, int *pq, int *info) noexcept nogil:
    
    _fortran_dtgsy2(trans, ijob, m, n, a, lda, b, ldb, c, ldc, d, ldd, e, lde, f, ldf, scale, rdsum, rdscal, iwork, pq, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dtgsyl "BLAS_FUNC(dtgsyl)"(char *trans, int *ijob, int *m, int *n, d *a, int *lda, d *b, int *ldb, d *c, int *ldc, d *d, int *ldd, d *e, int *lde, d *f, int *ldf, d *scale, d *dif, d *work, int *lwork, int *iwork, int *info) nogil
cdef void dtgsyl(char *trans, int *ijob, int *m, int *n, d *a, int *lda, d *b, int *ldb, d *c, int *ldc, d *d, int *ldd, d *e, int *lde, d *f, int *ldf, d *scale, d *dif, d *work, int *lwork, int *iwork, int *info) noexcept nogil:
    
    _fortran_dtgsyl(trans, ijob, m, n, a, lda, b, ldb, c, ldc, d, ldd, e, lde, f, ldf, scale, dif, work, lwork, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dtpcon "BLAS_FUNC(dtpcon)"(char *norm, char *uplo, char *diag, int *n, d *ap, d *rcond, d *work, int *iwork, int *info) nogil
cdef void dtpcon(char *norm, char *uplo, char *diag, int *n, d *ap, d *rcond, d *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_dtpcon(norm, uplo, diag, n, ap, rcond, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dtpmqrt "BLAS_FUNC(dtpmqrt)"(char *side, char *trans, int *m, int *n, int *k, int *l, int *nb, d *v, int *ldv, d *t, int *ldt, d *a, int *lda, d *b, int *ldb, d *work, int *info) nogil
cdef void dtpmqrt(char *side, char *trans, int *m, int *n, int *k, int *l, int *nb, d *v, int *ldv, d *t, int *ldt, d *a, int *lda, d *b, int *ldb, d *work, int *info) noexcept nogil:
    
    _fortran_dtpmqrt(side, trans, m, n, k, l, nb, v, ldv, t, ldt, a, lda, b, ldb, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dtpqrt "BLAS_FUNC(dtpqrt)"(int *m, int *n, int *l, int *nb, d *a, int *lda, d *b, int *ldb, d *t, int *ldt, d *work, int *info) nogil
cdef void dtpqrt(int *m, int *n, int *l, int *nb, d *a, int *lda, d *b, int *ldb, d *t, int *ldt, d *work, int *info) noexcept nogil:
    
    _fortran_dtpqrt(m, n, l, nb, a, lda, b, ldb, t, ldt, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dtpqrt2 "BLAS_FUNC(dtpqrt2)"(int *m, int *n, int *l, d *a, int *lda, d *b, int *ldb, d *t, int *ldt, int *info) nogil
cdef void dtpqrt2(int *m, int *n, int *l, d *a, int *lda, d *b, int *ldb, d *t, int *ldt, int *info) noexcept nogil:
    
    _fortran_dtpqrt2(m, n, l, a, lda, b, ldb, t, ldt, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dtprfb "BLAS_FUNC(dtprfb)"(char *side, char *trans, char *direct, char *storev, int *m, int *n, int *k, int *l, d *v, int *ldv, d *t, int *ldt, d *a, int *lda, d *b, int *ldb, d *work, int *ldwork) nogil
cdef void dtprfb(char *side, char *trans, char *direct, char *storev, int *m, int *n, int *k, int *l, d *v, int *ldv, d *t, int *ldt, d *a, int *lda, d *b, int *ldb, d *work, int *ldwork) noexcept nogil:
    
    _fortran_dtprfb(side, trans, direct, storev, m, n, k, l, v, ldv, t, ldt, a, lda, b, ldb, work, ldwork)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dtprfs "BLAS_FUNC(dtprfs)"(char *uplo, char *trans, char *diag, int *n, int *nrhs, d *ap, d *b, int *ldb, d *x, int *ldx, d *ferr, d *berr, d *work, int *iwork, int *info) nogil
cdef void dtprfs(char *uplo, char *trans, char *diag, int *n, int *nrhs, d *ap, d *b, int *ldb, d *x, int *ldx, d *ferr, d *berr, d *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_dtprfs(uplo, trans, diag, n, nrhs, ap, b, ldb, x, ldx, ferr, berr, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dtptri "BLAS_FUNC(dtptri)"(char *uplo, char *diag, int *n, d *ap, int *info) nogil
cdef void dtptri(char *uplo, char *diag, int *n, d *ap, int *info) noexcept nogil:
    
    _fortran_dtptri(uplo, diag, n, ap, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dtptrs "BLAS_FUNC(dtptrs)"(char *uplo, char *trans, char *diag, int *n, int *nrhs, d *ap, d *b, int *ldb, int *info) nogil
cdef void dtptrs(char *uplo, char *trans, char *diag, int *n, int *nrhs, d *ap, d *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_dtptrs(uplo, trans, diag, n, nrhs, ap, b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dtpttf "BLAS_FUNC(dtpttf)"(char *transr, char *uplo, int *n, d *ap, d *arf, int *info) nogil
cdef void dtpttf(char *transr, char *uplo, int *n, d *ap, d *arf, int *info) noexcept nogil:
    
    _fortran_dtpttf(transr, uplo, n, ap, arf, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dtpttr "BLAS_FUNC(dtpttr)"(char *uplo, int *n, d *ap, d *a, int *lda, int *info) nogil
cdef void dtpttr(char *uplo, int *n, d *ap, d *a, int *lda, int *info) noexcept nogil:
    
    _fortran_dtpttr(uplo, n, ap, a, lda, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dtrcon "BLAS_FUNC(dtrcon)"(char *norm, char *uplo, char *diag, int *n, d *a, int *lda, d *rcond, d *work, int *iwork, int *info) nogil
cdef void dtrcon(char *norm, char *uplo, char *diag, int *n, d *a, int *lda, d *rcond, d *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_dtrcon(norm, uplo, diag, n, a, lda, rcond, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dtrevc "BLAS_FUNC(dtrevc)"(char *side, char *howmny, bint *select, int *n, d *t, int *ldt, d *vl, int *ldvl, d *vr, int *ldvr, int *mm, int *m, d *work, int *info) nogil
cdef void dtrevc(char *side, char *howmny, bint *select, int *n, d *t, int *ldt, d *vl, int *ldvl, d *vr, int *ldvr, int *mm, int *m, d *work, int *info) noexcept nogil:
    
    _fortran_dtrevc(side, howmny, select, n, t, ldt, vl, ldvl, vr, ldvr, mm, m, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dtrexc "BLAS_FUNC(dtrexc)"(char *compq, int *n, d *t, int *ldt, d *q, int *ldq, int *ifst, int *ilst, d *work, int *info) nogil
cdef void dtrexc(char *compq, int *n, d *t, int *ldt, d *q, int *ldq, int *ifst, int *ilst, d *work, int *info) noexcept nogil:
    
    _fortran_dtrexc(compq, n, t, ldt, q, ldq, ifst, ilst, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dtrrfs "BLAS_FUNC(dtrrfs)"(char *uplo, char *trans, char *diag, int *n, int *nrhs, d *a, int *lda, d *b, int *ldb, d *x, int *ldx, d *ferr, d *berr, d *work, int *iwork, int *info) nogil
cdef void dtrrfs(char *uplo, char *trans, char *diag, int *n, int *nrhs, d *a, int *lda, d *b, int *ldb, d *x, int *ldx, d *ferr, d *berr, d *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_dtrrfs(uplo, trans, diag, n, nrhs, a, lda, b, ldb, x, ldx, ferr, berr, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dtrsen "BLAS_FUNC(dtrsen)"(char *job, char *compq, bint *select, int *n, d *t, int *ldt, d *q, int *ldq, d *wr, d *wi, int *m, d *s, d *sep, d *work, int *lwork, int *iwork, int *liwork, int *info) nogil
cdef void dtrsen(char *job, char *compq, bint *select, int *n, d *t, int *ldt, d *q, int *ldq, d *wr, d *wi, int *m, d *s, d *sep, d *work, int *lwork, int *iwork, int *liwork, int *info) noexcept nogil:
    
    _fortran_dtrsen(job, compq, select, n, t, ldt, q, ldq, wr, wi, m, s, sep, work, lwork, iwork, liwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dtrsna "BLAS_FUNC(dtrsna)"(char *job, char *howmny, bint *select, int *n, d *t, int *ldt, d *vl, int *ldvl, d *vr, int *ldvr, d *s, d *sep, int *mm, int *m, d *work, int *ldwork, int *iwork, int *info) nogil
cdef void dtrsna(char *job, char *howmny, bint *select, int *n, d *t, int *ldt, d *vl, int *ldvl, d *vr, int *ldvr, d *s, d *sep, int *mm, int *m, d *work, int *ldwork, int *iwork, int *info) noexcept nogil:
    
    _fortran_dtrsna(job, howmny, select, n, t, ldt, vl, ldvl, vr, ldvr, s, sep, mm, m, work, ldwork, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dtrsyl "BLAS_FUNC(dtrsyl)"(char *trana, char *tranb, int *isgn, int *m, int *n, d *a, int *lda, d *b, int *ldb, d *c, int *ldc, d *scale, int *info) nogil
cdef void dtrsyl(char *trana, char *tranb, int *isgn, int *m, int *n, d *a, int *lda, d *b, int *ldb, d *c, int *ldc, d *scale, int *info) noexcept nogil:
    
    _fortran_dtrsyl(trana, tranb, isgn, m, n, a, lda, b, ldb, c, ldc, scale, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dtrti2 "BLAS_FUNC(dtrti2)"(char *uplo, char *diag, int *n, d *a, int *lda, int *info) nogil
cdef void dtrti2(char *uplo, char *diag, int *n, d *a, int *lda, int *info) noexcept nogil:
    
    _fortran_dtrti2(uplo, diag, n, a, lda, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dtrtri "BLAS_FUNC(dtrtri)"(char *uplo, char *diag, int *n, d *a, int *lda, int *info) nogil
cdef void dtrtri(char *uplo, char *diag, int *n, d *a, int *lda, int *info) noexcept nogil:
    
    _fortran_dtrtri(uplo, diag, n, a, lda, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dtrtrs "BLAS_FUNC(dtrtrs)"(char *uplo, char *trans, char *diag, int *n, int *nrhs, d *a, int *lda, d *b, int *ldb, int *info) nogil
cdef void dtrtrs(char *uplo, char *trans, char *diag, int *n, int *nrhs, d *a, int *lda, d *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_dtrtrs(uplo, trans, diag, n, nrhs, a, lda, b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dtrttf "BLAS_FUNC(dtrttf)"(char *transr, char *uplo, int *n, d *a, int *lda, d *arf, int *info) nogil
cdef void dtrttf(char *transr, char *uplo, int *n, d *a, int *lda, d *arf, int *info) noexcept nogil:
    
    _fortran_dtrttf(transr, uplo, n, a, lda, arf, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dtrttp "BLAS_FUNC(dtrttp)"(char *uplo, int *n, d *a, int *lda, d *ap, int *info) nogil
cdef void dtrttp(char *uplo, int *n, d *a, int *lda, d *ap, int *info) noexcept nogil:
    
    _fortran_dtrttp(uplo, n, a, lda, ap, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_dtzrzf "BLAS_FUNC(dtzrzf)"(int *m, int *n, d *a, int *lda, d *tau, d *work, int *lwork, int *info) nogil
cdef void dtzrzf(int *m, int *n, d *a, int *lda, d *tau, d *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_dtzrzf(m, n, a, lda, tau, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    d _fortran_dzsum1 "BLAS_FUNC(dzsum1)"(int *n, npy_complex128 *cx, int *incx) nogil
cdef d dzsum1(int *n, z *cx, int *incx) noexcept nogil:
    
    return _fortran_dzsum1(n, <npy_complex128*>cx, incx)
    

cdef extern from "_lapack_subroutines.h":
    int _fortran_icmax1 "BLAS_FUNC(icmax1)"(int *n, npy_complex64 *cx, int *incx) nogil
cdef int icmax1(int *n, c *cx, int *incx) noexcept nogil:
    
    return _fortran_icmax1(n, <npy_complex64*>cx, incx)
    

cdef extern from "_lapack_subroutines.h":
    int _fortran_ieeeck "BLAS_FUNC(ieeeck)"(int *ispec, s *zero, s *one) nogil
cdef int ieeeck(int *ispec, s *zero, s *one) noexcept nogil:
    
    return _fortran_ieeeck(ispec, zero, one)
    

cdef extern from "_lapack_subroutines.h":
    int _fortran_ilaclc "BLAS_FUNC(ilaclc)"(int *m, int *n, npy_complex64 *a, int *lda) nogil
cdef int ilaclc(int *m, int *n, c *a, int *lda) noexcept nogil:
    
    return _fortran_ilaclc(m, n, <npy_complex64*>a, lda)
    

cdef extern from "_lapack_subroutines.h":
    int _fortran_ilaclr "BLAS_FUNC(ilaclr)"(int *m, int *n, npy_complex64 *a, int *lda) nogil
cdef int ilaclr(int *m, int *n, c *a, int *lda) noexcept nogil:
    
    return _fortran_ilaclr(m, n, <npy_complex64*>a, lda)
    

cdef extern from "_lapack_subroutines.h":
    int _fortran_iladiag "BLAS_FUNC(iladiag)"(char *diag) nogil
cdef int iladiag(char *diag) noexcept nogil:
    
    return _fortran_iladiag(diag)
    

cdef extern from "_lapack_subroutines.h":
    int _fortran_iladlc "BLAS_FUNC(iladlc)"(int *m, int *n, d *a, int *lda) nogil
cdef int iladlc(int *m, int *n, d *a, int *lda) noexcept nogil:
    
    return _fortran_iladlc(m, n, a, lda)
    

cdef extern from "_lapack_subroutines.h":
    int _fortran_iladlr "BLAS_FUNC(iladlr)"(int *m, int *n, d *a, int *lda) nogil
cdef int iladlr(int *m, int *n, d *a, int *lda) noexcept nogil:
    
    return _fortran_iladlr(m, n, a, lda)
    

cdef extern from "_lapack_subroutines.h":
    int _fortran_ilaprec "BLAS_FUNC(ilaprec)"(char *prec) nogil
cdef int ilaprec(char *prec) noexcept nogil:
    
    return _fortran_ilaprec(prec)
    

cdef extern from "_lapack_subroutines.h":
    int _fortran_ilaslc "BLAS_FUNC(ilaslc)"(int *m, int *n, s *a, int *lda) nogil
cdef int ilaslc(int *m, int *n, s *a, int *lda) noexcept nogil:
    
    return _fortran_ilaslc(m, n, a, lda)
    

cdef extern from "_lapack_subroutines.h":
    int _fortran_ilaslr "BLAS_FUNC(ilaslr)"(int *m, int *n, s *a, int *lda) nogil
cdef int ilaslr(int *m, int *n, s *a, int *lda) noexcept nogil:
    
    return _fortran_ilaslr(m, n, a, lda)
    

cdef extern from "_lapack_subroutines.h":
    int _fortran_ilatrans "BLAS_FUNC(ilatrans)"(char *trans) nogil
cdef int ilatrans(char *trans) noexcept nogil:
    
    return _fortran_ilatrans(trans)
    

cdef extern from "_lapack_subroutines.h":
    int _fortran_ilauplo "BLAS_FUNC(ilauplo)"(char *uplo) nogil
cdef int ilauplo(char *uplo) noexcept nogil:
    
    return _fortran_ilauplo(uplo)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ilaver "BLAS_FUNC(ilaver)"(int *vers_major, int *vers_minor, int *vers_patch) nogil
cdef void ilaver(int *vers_major, int *vers_minor, int *vers_patch) noexcept nogil:
    
    _fortran_ilaver(vers_major, vers_minor, vers_patch)
    

cdef extern from "_lapack_subroutines.h":
    int _fortran_ilazlc "BLAS_FUNC(ilazlc)"(int *m, int *n, npy_complex128 *a, int *lda) nogil
cdef int ilazlc(int *m, int *n, z *a, int *lda) noexcept nogil:
    
    return _fortran_ilazlc(m, n, <npy_complex128*>a, lda)
    

cdef extern from "_lapack_subroutines.h":
    int _fortran_ilazlr "BLAS_FUNC(ilazlr)"(int *m, int *n, npy_complex128 *a, int *lda) nogil
cdef int ilazlr(int *m, int *n, z *a, int *lda) noexcept nogil:
    
    return _fortran_ilazlr(m, n, <npy_complex128*>a, lda)
    

cdef extern from "_lapack_subroutines.h":
    int _fortran_izmax1 "BLAS_FUNC(izmax1)"(int *n, npy_complex128 *cx, int *incx) nogil
cdef int izmax1(int *n, z *cx, int *incx) noexcept nogil:
    
    return _fortran_izmax1(n, <npy_complex128*>cx, incx)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sbbcsd "BLAS_FUNC(sbbcsd)"(char *jobu1, char *jobu2, char *jobv1t, char *jobv2t, char *trans, int *m, int *p, int *q, s *theta, s *phi, s *u1, int *ldu1, s *u2, int *ldu2, s *v1t, int *ldv1t, s *v2t, int *ldv2t, s *b11d, s *b11e, s *b12d, s *b12e, s *b21d, s *b21e, s *b22d, s *b22e, s *work, int *lwork, int *info) nogil
cdef void sbbcsd(char *jobu1, char *jobu2, char *jobv1t, char *jobv2t, char *trans, int *m, int *p, int *q, s *theta, s *phi, s *u1, int *ldu1, s *u2, int *ldu2, s *v1t, int *ldv1t, s *v2t, int *ldv2t, s *b11d, s *b11e, s *b12d, s *b12e, s *b21d, s *b21e, s *b22d, s *b22e, s *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_sbbcsd(jobu1, jobu2, jobv1t, jobv2t, trans, m, p, q, theta, phi, u1, ldu1, u2, ldu2, v1t, ldv1t, v2t, ldv2t, b11d, b11e, b12d, b12e, b21d, b21e, b22d, b22e, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sbdsdc "BLAS_FUNC(sbdsdc)"(char *uplo, char *compq, int *n, s *d, s *e, s *u, int *ldu, s *vt, int *ldvt, s *q, int *iq, s *work, int *iwork, int *info) nogil
cdef void sbdsdc(char *uplo, char *compq, int *n, s *d, s *e, s *u, int *ldu, s *vt, int *ldvt, s *q, int *iq, s *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_sbdsdc(uplo, compq, n, d, e, u, ldu, vt, ldvt, q, iq, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sbdsqr "BLAS_FUNC(sbdsqr)"(char *uplo, int *n, int *ncvt, int *nru, int *ncc, s *d, s *e, s *vt, int *ldvt, s *u, int *ldu, s *c, int *ldc, s *work, int *info) nogil
cdef void sbdsqr(char *uplo, int *n, int *ncvt, int *nru, int *ncc, s *d, s *e, s *vt, int *ldvt, s *u, int *ldu, s *c, int *ldc, s *work, int *info) noexcept nogil:
    
    _fortran_sbdsqr(uplo, n, ncvt, nru, ncc, d, e, vt, ldvt, u, ldu, c, ldc, work, info)
    

cdef extern from "_lapack_subroutines.h":
    s _fortran_scsum1 "BLAS_FUNC(scsum1)"(int *n, npy_complex64 *cx, int *incx) nogil
cdef s scsum1(int *n, c *cx, int *incx) noexcept nogil:
    
    return _fortran_scsum1(n, <npy_complex64*>cx, incx)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sdisna "BLAS_FUNC(sdisna)"(char *job, int *m, int *n, s *d, s *sep, int *info) nogil
cdef void sdisna(char *job, int *m, int *n, s *d, s *sep, int *info) noexcept nogil:
    
    _fortran_sdisna(job, m, n, d, sep, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sgbbrd "BLAS_FUNC(sgbbrd)"(char *vect, int *m, int *n, int *ncc, int *kl, int *ku, s *ab, int *ldab, s *d, s *e, s *q, int *ldq, s *pt, int *ldpt, s *c, int *ldc, s *work, int *info) nogil
cdef void sgbbrd(char *vect, int *m, int *n, int *ncc, int *kl, int *ku, s *ab, int *ldab, s *d, s *e, s *q, int *ldq, s *pt, int *ldpt, s *c, int *ldc, s *work, int *info) noexcept nogil:
    
    _fortran_sgbbrd(vect, m, n, ncc, kl, ku, ab, ldab, d, e, q, ldq, pt, ldpt, c, ldc, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sgbcon "BLAS_FUNC(sgbcon)"(char *norm, int *n, int *kl, int *ku, s *ab, int *ldab, int *ipiv, s *anorm, s *rcond, s *work, int *iwork, int *info) nogil
cdef void sgbcon(char *norm, int *n, int *kl, int *ku, s *ab, int *ldab, int *ipiv, s *anorm, s *rcond, s *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_sgbcon(norm, n, kl, ku, ab, ldab, ipiv, anorm, rcond, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sgbequ "BLAS_FUNC(sgbequ)"(int *m, int *n, int *kl, int *ku, s *ab, int *ldab, s *r, s *c, s *rowcnd, s *colcnd, s *amax, int *info) nogil
cdef void sgbequ(int *m, int *n, int *kl, int *ku, s *ab, int *ldab, s *r, s *c, s *rowcnd, s *colcnd, s *amax, int *info) noexcept nogil:
    
    _fortran_sgbequ(m, n, kl, ku, ab, ldab, r, c, rowcnd, colcnd, amax, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sgbequb "BLAS_FUNC(sgbequb)"(int *m, int *n, int *kl, int *ku, s *ab, int *ldab, s *r, s *c, s *rowcnd, s *colcnd, s *amax, int *info) nogil
cdef void sgbequb(int *m, int *n, int *kl, int *ku, s *ab, int *ldab, s *r, s *c, s *rowcnd, s *colcnd, s *amax, int *info) noexcept nogil:
    
    _fortran_sgbequb(m, n, kl, ku, ab, ldab, r, c, rowcnd, colcnd, amax, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sgbrfs "BLAS_FUNC(sgbrfs)"(char *trans, int *n, int *kl, int *ku, int *nrhs, s *ab, int *ldab, s *afb, int *ldafb, int *ipiv, s *b, int *ldb, s *x, int *ldx, s *ferr, s *berr, s *work, int *iwork, int *info) nogil
cdef void sgbrfs(char *trans, int *n, int *kl, int *ku, int *nrhs, s *ab, int *ldab, s *afb, int *ldafb, int *ipiv, s *b, int *ldb, s *x, int *ldx, s *ferr, s *berr, s *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_sgbrfs(trans, n, kl, ku, nrhs, ab, ldab, afb, ldafb, ipiv, b, ldb, x, ldx, ferr, berr, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sgbsv "BLAS_FUNC(sgbsv)"(int *n, int *kl, int *ku, int *nrhs, s *ab, int *ldab, int *ipiv, s *b, int *ldb, int *info) nogil
cdef void sgbsv(int *n, int *kl, int *ku, int *nrhs, s *ab, int *ldab, int *ipiv, s *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_sgbsv(n, kl, ku, nrhs, ab, ldab, ipiv, b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sgbsvx "BLAS_FUNC(sgbsvx)"(char *fact, char *trans, int *n, int *kl, int *ku, int *nrhs, s *ab, int *ldab, s *afb, int *ldafb, int *ipiv, char *equed, s *r, s *c, s *b, int *ldb, s *x, int *ldx, s *rcond, s *ferr, s *berr, s *work, int *iwork, int *info) nogil
cdef void sgbsvx(char *fact, char *trans, int *n, int *kl, int *ku, int *nrhs, s *ab, int *ldab, s *afb, int *ldafb, int *ipiv, char *equed, s *r, s *c, s *b, int *ldb, s *x, int *ldx, s *rcond, s *ferr, s *berr, s *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_sgbsvx(fact, trans, n, kl, ku, nrhs, ab, ldab, afb, ldafb, ipiv, equed, r, c, b, ldb, x, ldx, rcond, ferr, berr, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sgbtf2 "BLAS_FUNC(sgbtf2)"(int *m, int *n, int *kl, int *ku, s *ab, int *ldab, int *ipiv, int *info) nogil
cdef void sgbtf2(int *m, int *n, int *kl, int *ku, s *ab, int *ldab, int *ipiv, int *info) noexcept nogil:
    
    _fortran_sgbtf2(m, n, kl, ku, ab, ldab, ipiv, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sgbtrf "BLAS_FUNC(sgbtrf)"(int *m, int *n, int *kl, int *ku, s *ab, int *ldab, int *ipiv, int *info) nogil
cdef void sgbtrf(int *m, int *n, int *kl, int *ku, s *ab, int *ldab, int *ipiv, int *info) noexcept nogil:
    
    _fortran_sgbtrf(m, n, kl, ku, ab, ldab, ipiv, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sgbtrs "BLAS_FUNC(sgbtrs)"(char *trans, int *n, int *kl, int *ku, int *nrhs, s *ab, int *ldab, int *ipiv, s *b, int *ldb, int *info) nogil
cdef void sgbtrs(char *trans, int *n, int *kl, int *ku, int *nrhs, s *ab, int *ldab, int *ipiv, s *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_sgbtrs(trans, n, kl, ku, nrhs, ab, ldab, ipiv, b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sgebak "BLAS_FUNC(sgebak)"(char *job, char *side, int *n, int *ilo, int *ihi, s *scale, int *m, s *v, int *ldv, int *info) nogil
cdef void sgebak(char *job, char *side, int *n, int *ilo, int *ihi, s *scale, int *m, s *v, int *ldv, int *info) noexcept nogil:
    
    _fortran_sgebak(job, side, n, ilo, ihi, scale, m, v, ldv, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sgebal "BLAS_FUNC(sgebal)"(char *job, int *n, s *a, int *lda, int *ilo, int *ihi, s *scale, int *info) nogil
cdef void sgebal(char *job, int *n, s *a, int *lda, int *ilo, int *ihi, s *scale, int *info) noexcept nogil:
    
    _fortran_sgebal(job, n, a, lda, ilo, ihi, scale, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sgebd2 "BLAS_FUNC(sgebd2)"(int *m, int *n, s *a, int *lda, s *d, s *e, s *tauq, s *taup, s *work, int *info) nogil
cdef void sgebd2(int *m, int *n, s *a, int *lda, s *d, s *e, s *tauq, s *taup, s *work, int *info) noexcept nogil:
    
    _fortran_sgebd2(m, n, a, lda, d, e, tauq, taup, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sgebrd "BLAS_FUNC(sgebrd)"(int *m, int *n, s *a, int *lda, s *d, s *e, s *tauq, s *taup, s *work, int *lwork, int *info) nogil
cdef void sgebrd(int *m, int *n, s *a, int *lda, s *d, s *e, s *tauq, s *taup, s *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_sgebrd(m, n, a, lda, d, e, tauq, taup, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sgecon "BLAS_FUNC(sgecon)"(char *norm, int *n, s *a, int *lda, s *anorm, s *rcond, s *work, int *iwork, int *info) nogil
cdef void sgecon(char *norm, int *n, s *a, int *lda, s *anorm, s *rcond, s *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_sgecon(norm, n, a, lda, anorm, rcond, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sgeequ "BLAS_FUNC(sgeequ)"(int *m, int *n, s *a, int *lda, s *r, s *c, s *rowcnd, s *colcnd, s *amax, int *info) nogil
cdef void sgeequ(int *m, int *n, s *a, int *lda, s *r, s *c, s *rowcnd, s *colcnd, s *amax, int *info) noexcept nogil:
    
    _fortran_sgeequ(m, n, a, lda, r, c, rowcnd, colcnd, amax, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sgeequb "BLAS_FUNC(sgeequb)"(int *m, int *n, s *a, int *lda, s *r, s *c, s *rowcnd, s *colcnd, s *amax, int *info) nogil
cdef void sgeequb(int *m, int *n, s *a, int *lda, s *r, s *c, s *rowcnd, s *colcnd, s *amax, int *info) noexcept nogil:
    
    _fortran_sgeequb(m, n, a, lda, r, c, rowcnd, colcnd, amax, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sgees "BLAS_FUNC(sgees)"(char *jobvs, char *sort, _sselect2 *select, int *n, s *a, int *lda, int *sdim, s *wr, s *wi, s *vs, int *ldvs, s *work, int *lwork, bint *bwork, int *info) nogil
cdef void sgees(char *jobvs, char *sort, sselect2 *select, int *n, s *a, int *lda, int *sdim, s *wr, s *wi, s *vs, int *ldvs, s *work, int *lwork, bint *bwork, int *info) noexcept nogil:
    
    _fortran_sgees(jobvs, sort, <_sselect2*>select, n, a, lda, sdim, wr, wi, vs, ldvs, work, lwork, bwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sgeesx "BLAS_FUNC(sgeesx)"(char *jobvs, char *sort, _sselect2 *select, char *sense, int *n, s *a, int *lda, int *sdim, s *wr, s *wi, s *vs, int *ldvs, s *rconde, s *rcondv, s *work, int *lwork, int *iwork, int *liwork, bint *bwork, int *info) nogil
cdef void sgeesx(char *jobvs, char *sort, sselect2 *select, char *sense, int *n, s *a, int *lda, int *sdim, s *wr, s *wi, s *vs, int *ldvs, s *rconde, s *rcondv, s *work, int *lwork, int *iwork, int *liwork, bint *bwork, int *info) noexcept nogil:
    
    _fortran_sgeesx(jobvs, sort, <_sselect2*>select, sense, n, a, lda, sdim, wr, wi, vs, ldvs, rconde, rcondv, work, lwork, iwork, liwork, bwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sgeev "BLAS_FUNC(sgeev)"(char *jobvl, char *jobvr, int *n, s *a, int *lda, s *wr, s *wi, s *vl, int *ldvl, s *vr, int *ldvr, s *work, int *lwork, int *info) nogil
cdef void sgeev(char *jobvl, char *jobvr, int *n, s *a, int *lda, s *wr, s *wi, s *vl, int *ldvl, s *vr, int *ldvr, s *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_sgeev(jobvl, jobvr, n, a, lda, wr, wi, vl, ldvl, vr, ldvr, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sgeevx "BLAS_FUNC(sgeevx)"(char *balanc, char *jobvl, char *jobvr, char *sense, int *n, s *a, int *lda, s *wr, s *wi, s *vl, int *ldvl, s *vr, int *ldvr, int *ilo, int *ihi, s *scale, s *abnrm, s *rconde, s *rcondv, s *work, int *lwork, int *iwork, int *info) nogil
cdef void sgeevx(char *balanc, char *jobvl, char *jobvr, char *sense, int *n, s *a, int *lda, s *wr, s *wi, s *vl, int *ldvl, s *vr, int *ldvr, int *ilo, int *ihi, s *scale, s *abnrm, s *rconde, s *rcondv, s *work, int *lwork, int *iwork, int *info) noexcept nogil:
    
    _fortran_sgeevx(balanc, jobvl, jobvr, sense, n, a, lda, wr, wi, vl, ldvl, vr, ldvr, ilo, ihi, scale, abnrm, rconde, rcondv, work, lwork, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sgehd2 "BLAS_FUNC(sgehd2)"(int *n, int *ilo, int *ihi, s *a, int *lda, s *tau, s *work, int *info) nogil
cdef void sgehd2(int *n, int *ilo, int *ihi, s *a, int *lda, s *tau, s *work, int *info) noexcept nogil:
    
    _fortran_sgehd2(n, ilo, ihi, a, lda, tau, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sgehrd "BLAS_FUNC(sgehrd)"(int *n, int *ilo, int *ihi, s *a, int *lda, s *tau, s *work, int *lwork, int *info) nogil
cdef void sgehrd(int *n, int *ilo, int *ihi, s *a, int *lda, s *tau, s *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_sgehrd(n, ilo, ihi, a, lda, tau, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sgejsv "BLAS_FUNC(sgejsv)"(char *joba, char *jobu, char *jobv, char *jobr, char *jobt, char *jobp, int *m, int *n, s *a, int *lda, s *sva, s *u, int *ldu, s *v, int *ldv, s *work, int *lwork, int *iwork, int *info) nogil
cdef void sgejsv(char *joba, char *jobu, char *jobv, char *jobr, char *jobt, char *jobp, int *m, int *n, s *a, int *lda, s *sva, s *u, int *ldu, s *v, int *ldv, s *work, int *lwork, int *iwork, int *info) noexcept nogil:
    
    _fortran_sgejsv(joba, jobu, jobv, jobr, jobt, jobp, m, n, a, lda, sva, u, ldu, v, ldv, work, lwork, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sgelq2 "BLAS_FUNC(sgelq2)"(int *m, int *n, s *a, int *lda, s *tau, s *work, int *info) nogil
cdef void sgelq2(int *m, int *n, s *a, int *lda, s *tau, s *work, int *info) noexcept nogil:
    
    _fortran_sgelq2(m, n, a, lda, tau, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sgelqf "BLAS_FUNC(sgelqf)"(int *m, int *n, s *a, int *lda, s *tau, s *work, int *lwork, int *info) nogil
cdef void sgelqf(int *m, int *n, s *a, int *lda, s *tau, s *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_sgelqf(m, n, a, lda, tau, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sgels "BLAS_FUNC(sgels)"(char *trans, int *m, int *n, int *nrhs, s *a, int *lda, s *b, int *ldb, s *work, int *lwork, int *info) nogil
cdef void sgels(char *trans, int *m, int *n, int *nrhs, s *a, int *lda, s *b, int *ldb, s *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_sgels(trans, m, n, nrhs, a, lda, b, ldb, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sgelsd "BLAS_FUNC(sgelsd)"(int *m, int *n, int *nrhs, s *a, int *lda, s *b, int *ldb, s *s, s *rcond, int *rank, s *work, int *lwork, int *iwork, int *info) nogil
cdef void sgelsd(int *m, int *n, int *nrhs, s *a, int *lda, s *b, int *ldb, s *s, s *rcond, int *rank, s *work, int *lwork, int *iwork, int *info) noexcept nogil:
    
    _fortran_sgelsd(m, n, nrhs, a, lda, b, ldb, s, rcond, rank, work, lwork, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sgelss "BLAS_FUNC(sgelss)"(int *m, int *n, int *nrhs, s *a, int *lda, s *b, int *ldb, s *s, s *rcond, int *rank, s *work, int *lwork, int *info) nogil
cdef void sgelss(int *m, int *n, int *nrhs, s *a, int *lda, s *b, int *ldb, s *s, s *rcond, int *rank, s *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_sgelss(m, n, nrhs, a, lda, b, ldb, s, rcond, rank, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sgelsy "BLAS_FUNC(sgelsy)"(int *m, int *n, int *nrhs, s *a, int *lda, s *b, int *ldb, int *jpvt, s *rcond, int *rank, s *work, int *lwork, int *info) nogil
cdef void sgelsy(int *m, int *n, int *nrhs, s *a, int *lda, s *b, int *ldb, int *jpvt, s *rcond, int *rank, s *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_sgelsy(m, n, nrhs, a, lda, b, ldb, jpvt, rcond, rank, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sgemqrt "BLAS_FUNC(sgemqrt)"(char *side, char *trans, int *m, int *n, int *k, int *nb, s *v, int *ldv, s *t, int *ldt, s *c, int *ldc, s *work, int *info) nogil
cdef void sgemqrt(char *side, char *trans, int *m, int *n, int *k, int *nb, s *v, int *ldv, s *t, int *ldt, s *c, int *ldc, s *work, int *info) noexcept nogil:
    
    _fortran_sgemqrt(side, trans, m, n, k, nb, v, ldv, t, ldt, c, ldc, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sgeql2 "BLAS_FUNC(sgeql2)"(int *m, int *n, s *a, int *lda, s *tau, s *work, int *info) nogil
cdef void sgeql2(int *m, int *n, s *a, int *lda, s *tau, s *work, int *info) noexcept nogil:
    
    _fortran_sgeql2(m, n, a, lda, tau, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sgeqlf "BLAS_FUNC(sgeqlf)"(int *m, int *n, s *a, int *lda, s *tau, s *work, int *lwork, int *info) nogil
cdef void sgeqlf(int *m, int *n, s *a, int *lda, s *tau, s *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_sgeqlf(m, n, a, lda, tau, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sgeqp3 "BLAS_FUNC(sgeqp3)"(int *m, int *n, s *a, int *lda, int *jpvt, s *tau, s *work, int *lwork, int *info) nogil
cdef void sgeqp3(int *m, int *n, s *a, int *lda, int *jpvt, s *tau, s *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_sgeqp3(m, n, a, lda, jpvt, tau, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sgeqr2 "BLAS_FUNC(sgeqr2)"(int *m, int *n, s *a, int *lda, s *tau, s *work, int *info) nogil
cdef void sgeqr2(int *m, int *n, s *a, int *lda, s *tau, s *work, int *info) noexcept nogil:
    
    _fortran_sgeqr2(m, n, a, lda, tau, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sgeqr2p "BLAS_FUNC(sgeqr2p)"(int *m, int *n, s *a, int *lda, s *tau, s *work, int *info) nogil
cdef void sgeqr2p(int *m, int *n, s *a, int *lda, s *tau, s *work, int *info) noexcept nogil:
    
    _fortran_sgeqr2p(m, n, a, lda, tau, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sgeqrf "BLAS_FUNC(sgeqrf)"(int *m, int *n, s *a, int *lda, s *tau, s *work, int *lwork, int *info) nogil
cdef void sgeqrf(int *m, int *n, s *a, int *lda, s *tau, s *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_sgeqrf(m, n, a, lda, tau, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sgeqrfp "BLAS_FUNC(sgeqrfp)"(int *m, int *n, s *a, int *lda, s *tau, s *work, int *lwork, int *info) nogil
cdef void sgeqrfp(int *m, int *n, s *a, int *lda, s *tau, s *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_sgeqrfp(m, n, a, lda, tau, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sgeqrt "BLAS_FUNC(sgeqrt)"(int *m, int *n, int *nb, s *a, int *lda, s *t, int *ldt, s *work, int *info) nogil
cdef void sgeqrt(int *m, int *n, int *nb, s *a, int *lda, s *t, int *ldt, s *work, int *info) noexcept nogil:
    
    _fortran_sgeqrt(m, n, nb, a, lda, t, ldt, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sgeqrt2 "BLAS_FUNC(sgeqrt2)"(int *m, int *n, s *a, int *lda, s *t, int *ldt, int *info) nogil
cdef void sgeqrt2(int *m, int *n, s *a, int *lda, s *t, int *ldt, int *info) noexcept nogil:
    
    _fortran_sgeqrt2(m, n, a, lda, t, ldt, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sgeqrt3 "BLAS_FUNC(sgeqrt3)"(int *m, int *n, s *a, int *lda, s *t, int *ldt, int *info) nogil
cdef void sgeqrt3(int *m, int *n, s *a, int *lda, s *t, int *ldt, int *info) noexcept nogil:
    
    _fortran_sgeqrt3(m, n, a, lda, t, ldt, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sgerfs "BLAS_FUNC(sgerfs)"(char *trans, int *n, int *nrhs, s *a, int *lda, s *af, int *ldaf, int *ipiv, s *b, int *ldb, s *x, int *ldx, s *ferr, s *berr, s *work, int *iwork, int *info) nogil
cdef void sgerfs(char *trans, int *n, int *nrhs, s *a, int *lda, s *af, int *ldaf, int *ipiv, s *b, int *ldb, s *x, int *ldx, s *ferr, s *berr, s *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_sgerfs(trans, n, nrhs, a, lda, af, ldaf, ipiv, b, ldb, x, ldx, ferr, berr, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sgerq2 "BLAS_FUNC(sgerq2)"(int *m, int *n, s *a, int *lda, s *tau, s *work, int *info) nogil
cdef void sgerq2(int *m, int *n, s *a, int *lda, s *tau, s *work, int *info) noexcept nogil:
    
    _fortran_sgerq2(m, n, a, lda, tau, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sgerqf "BLAS_FUNC(sgerqf)"(int *m, int *n, s *a, int *lda, s *tau, s *work, int *lwork, int *info) nogil
cdef void sgerqf(int *m, int *n, s *a, int *lda, s *tau, s *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_sgerqf(m, n, a, lda, tau, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sgesc2 "BLAS_FUNC(sgesc2)"(int *n, s *a, int *lda, s *rhs, int *ipiv, int *jpiv, s *scale) nogil
cdef void sgesc2(int *n, s *a, int *lda, s *rhs, int *ipiv, int *jpiv, s *scale) noexcept nogil:
    
    _fortran_sgesc2(n, a, lda, rhs, ipiv, jpiv, scale)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sgesdd "BLAS_FUNC(sgesdd)"(char *jobz, int *m, int *n, s *a, int *lda, s *s, s *u, int *ldu, s *vt, int *ldvt, s *work, int *lwork, int *iwork, int *info) nogil
cdef void sgesdd(char *jobz, int *m, int *n, s *a, int *lda, s *s, s *u, int *ldu, s *vt, int *ldvt, s *work, int *lwork, int *iwork, int *info) noexcept nogil:
    
    _fortran_sgesdd(jobz, m, n, a, lda, s, u, ldu, vt, ldvt, work, lwork, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sgesv "BLAS_FUNC(sgesv)"(int *n, int *nrhs, s *a, int *lda, int *ipiv, s *b, int *ldb, int *info) nogil
cdef void sgesv(int *n, int *nrhs, s *a, int *lda, int *ipiv, s *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_sgesv(n, nrhs, a, lda, ipiv, b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sgesvd "BLAS_FUNC(sgesvd)"(char *jobu, char *jobvt, int *m, int *n, s *a, int *lda, s *s, s *u, int *ldu, s *vt, int *ldvt, s *work, int *lwork, int *info) nogil
cdef void sgesvd(char *jobu, char *jobvt, int *m, int *n, s *a, int *lda, s *s, s *u, int *ldu, s *vt, int *ldvt, s *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_sgesvd(jobu, jobvt, m, n, a, lda, s, u, ldu, vt, ldvt, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sgesvj "BLAS_FUNC(sgesvj)"(char *joba, char *jobu, char *jobv, int *m, int *n, s *a, int *lda, s *sva, int *mv, s *v, int *ldv, s *work, int *lwork, int *info) nogil
cdef void sgesvj(char *joba, char *jobu, char *jobv, int *m, int *n, s *a, int *lda, s *sva, int *mv, s *v, int *ldv, s *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_sgesvj(joba, jobu, jobv, m, n, a, lda, sva, mv, v, ldv, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sgesvx "BLAS_FUNC(sgesvx)"(char *fact, char *trans, int *n, int *nrhs, s *a, int *lda, s *af, int *ldaf, int *ipiv, char *equed, s *r, s *c, s *b, int *ldb, s *x, int *ldx, s *rcond, s *ferr, s *berr, s *work, int *iwork, int *info) nogil
cdef void sgesvx(char *fact, char *trans, int *n, int *nrhs, s *a, int *lda, s *af, int *ldaf, int *ipiv, char *equed, s *r, s *c, s *b, int *ldb, s *x, int *ldx, s *rcond, s *ferr, s *berr, s *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_sgesvx(fact, trans, n, nrhs, a, lda, af, ldaf, ipiv, equed, r, c, b, ldb, x, ldx, rcond, ferr, berr, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sgetc2 "BLAS_FUNC(sgetc2)"(int *n, s *a, int *lda, int *ipiv, int *jpiv, int *info) nogil
cdef void sgetc2(int *n, s *a, int *lda, int *ipiv, int *jpiv, int *info) noexcept nogil:
    
    _fortran_sgetc2(n, a, lda, ipiv, jpiv, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sgetf2 "BLAS_FUNC(sgetf2)"(int *m, int *n, s *a, int *lda, int *ipiv, int *info) nogil
cdef void sgetf2(int *m, int *n, s *a, int *lda, int *ipiv, int *info) noexcept nogil:
    
    _fortran_sgetf2(m, n, a, lda, ipiv, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sgetrf "BLAS_FUNC(sgetrf)"(int *m, int *n, s *a, int *lda, int *ipiv, int *info) nogil
cdef void sgetrf(int *m, int *n, s *a, int *lda, int *ipiv, int *info) noexcept nogil:
    
    _fortran_sgetrf(m, n, a, lda, ipiv, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sgetri "BLAS_FUNC(sgetri)"(int *n, s *a, int *lda, int *ipiv, s *work, int *lwork, int *info) nogil
cdef void sgetri(int *n, s *a, int *lda, int *ipiv, s *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_sgetri(n, a, lda, ipiv, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sgetrs "BLAS_FUNC(sgetrs)"(char *trans, int *n, int *nrhs, s *a, int *lda, int *ipiv, s *b, int *ldb, int *info) nogil
cdef void sgetrs(char *trans, int *n, int *nrhs, s *a, int *lda, int *ipiv, s *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_sgetrs(trans, n, nrhs, a, lda, ipiv, b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sggbak "BLAS_FUNC(sggbak)"(char *job, char *side, int *n, int *ilo, int *ihi, s *lscale, s *rscale, int *m, s *v, int *ldv, int *info) nogil
cdef void sggbak(char *job, char *side, int *n, int *ilo, int *ihi, s *lscale, s *rscale, int *m, s *v, int *ldv, int *info) noexcept nogil:
    
    _fortran_sggbak(job, side, n, ilo, ihi, lscale, rscale, m, v, ldv, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sggbal "BLAS_FUNC(sggbal)"(char *job, int *n, s *a, int *lda, s *b, int *ldb, int *ilo, int *ihi, s *lscale, s *rscale, s *work, int *info) nogil
cdef void sggbal(char *job, int *n, s *a, int *lda, s *b, int *ldb, int *ilo, int *ihi, s *lscale, s *rscale, s *work, int *info) noexcept nogil:
    
    _fortran_sggbal(job, n, a, lda, b, ldb, ilo, ihi, lscale, rscale, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sgges "BLAS_FUNC(sgges)"(char *jobvsl, char *jobvsr, char *sort, _sselect3 *selctg, int *n, s *a, int *lda, s *b, int *ldb, int *sdim, s *alphar, s *alphai, s *beta, s *vsl, int *ldvsl, s *vsr, int *ldvsr, s *work, int *lwork, bint *bwork, int *info) nogil
cdef void sgges(char *jobvsl, char *jobvsr, char *sort, sselect3 *selctg, int *n, s *a, int *lda, s *b, int *ldb, int *sdim, s *alphar, s *alphai, s *beta, s *vsl, int *ldvsl, s *vsr, int *ldvsr, s *work, int *lwork, bint *bwork, int *info) noexcept nogil:
    
    _fortran_sgges(jobvsl, jobvsr, sort, <_sselect3*>selctg, n, a, lda, b, ldb, sdim, alphar, alphai, beta, vsl, ldvsl, vsr, ldvsr, work, lwork, bwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sggesx "BLAS_FUNC(sggesx)"(char *jobvsl, char *jobvsr, char *sort, _sselect3 *selctg, char *sense, int *n, s *a, int *lda, s *b, int *ldb, int *sdim, s *alphar, s *alphai, s *beta, s *vsl, int *ldvsl, s *vsr, int *ldvsr, s *rconde, s *rcondv, s *work, int *lwork, int *iwork, int *liwork, bint *bwork, int *info) nogil
cdef void sggesx(char *jobvsl, char *jobvsr, char *sort, sselect3 *selctg, char *sense, int *n, s *a, int *lda, s *b, int *ldb, int *sdim, s *alphar, s *alphai, s *beta, s *vsl, int *ldvsl, s *vsr, int *ldvsr, s *rconde, s *rcondv, s *work, int *lwork, int *iwork, int *liwork, bint *bwork, int *info) noexcept nogil:
    
    _fortran_sggesx(jobvsl, jobvsr, sort, <_sselect3*>selctg, sense, n, a, lda, b, ldb, sdim, alphar, alphai, beta, vsl, ldvsl, vsr, ldvsr, rconde, rcondv, work, lwork, iwork, liwork, bwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sggev "BLAS_FUNC(sggev)"(char *jobvl, char *jobvr, int *n, s *a, int *lda, s *b, int *ldb, s *alphar, s *alphai, s *beta, s *vl, int *ldvl, s *vr, int *ldvr, s *work, int *lwork, int *info) nogil
cdef void sggev(char *jobvl, char *jobvr, int *n, s *a, int *lda, s *b, int *ldb, s *alphar, s *alphai, s *beta, s *vl, int *ldvl, s *vr, int *ldvr, s *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_sggev(jobvl, jobvr, n, a, lda, b, ldb, alphar, alphai, beta, vl, ldvl, vr, ldvr, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sggevx "BLAS_FUNC(sggevx)"(char *balanc, char *jobvl, char *jobvr, char *sense, int *n, s *a, int *lda, s *b, int *ldb, s *alphar, s *alphai, s *beta, s *vl, int *ldvl, s *vr, int *ldvr, int *ilo, int *ihi, s *lscale, s *rscale, s *abnrm, s *bbnrm, s *rconde, s *rcondv, s *work, int *lwork, int *iwork, bint *bwork, int *info) nogil
cdef void sggevx(char *balanc, char *jobvl, char *jobvr, char *sense, int *n, s *a, int *lda, s *b, int *ldb, s *alphar, s *alphai, s *beta, s *vl, int *ldvl, s *vr, int *ldvr, int *ilo, int *ihi, s *lscale, s *rscale, s *abnrm, s *bbnrm, s *rconde, s *rcondv, s *work, int *lwork, int *iwork, bint *bwork, int *info) noexcept nogil:
    
    _fortran_sggevx(balanc, jobvl, jobvr, sense, n, a, lda, b, ldb, alphar, alphai, beta, vl, ldvl, vr, ldvr, ilo, ihi, lscale, rscale, abnrm, bbnrm, rconde, rcondv, work, lwork, iwork, bwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sggglm "BLAS_FUNC(sggglm)"(int *n, int *m, int *p, s *a, int *lda, s *b, int *ldb, s *d, s *x, s *y, s *work, int *lwork, int *info) nogil
cdef void sggglm(int *n, int *m, int *p, s *a, int *lda, s *b, int *ldb, s *d, s *x, s *y, s *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_sggglm(n, m, p, a, lda, b, ldb, d, x, y, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sgghrd "BLAS_FUNC(sgghrd)"(char *compq, char *compz, int *n, int *ilo, int *ihi, s *a, int *lda, s *b, int *ldb, s *q, int *ldq, s *z, int *ldz, int *info) nogil
cdef void sgghrd(char *compq, char *compz, int *n, int *ilo, int *ihi, s *a, int *lda, s *b, int *ldb, s *q, int *ldq, s *z, int *ldz, int *info) noexcept nogil:
    
    _fortran_sgghrd(compq, compz, n, ilo, ihi, a, lda, b, ldb, q, ldq, z, ldz, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sgglse "BLAS_FUNC(sgglse)"(int *m, int *n, int *p, s *a, int *lda, s *b, int *ldb, s *c, s *d, s *x, s *work, int *lwork, int *info) nogil
cdef void sgglse(int *m, int *n, int *p, s *a, int *lda, s *b, int *ldb, s *c, s *d, s *x, s *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_sgglse(m, n, p, a, lda, b, ldb, c, d, x, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sggqrf "BLAS_FUNC(sggqrf)"(int *n, int *m, int *p, s *a, int *lda, s *taua, s *b, int *ldb, s *taub, s *work, int *lwork, int *info) nogil
cdef void sggqrf(int *n, int *m, int *p, s *a, int *lda, s *taua, s *b, int *ldb, s *taub, s *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_sggqrf(n, m, p, a, lda, taua, b, ldb, taub, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sggrqf "BLAS_FUNC(sggrqf)"(int *m, int *p, int *n, s *a, int *lda, s *taua, s *b, int *ldb, s *taub, s *work, int *lwork, int *info) nogil
cdef void sggrqf(int *m, int *p, int *n, s *a, int *lda, s *taua, s *b, int *ldb, s *taub, s *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_sggrqf(m, p, n, a, lda, taua, b, ldb, taub, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sgsvj0 "BLAS_FUNC(sgsvj0)"(char *jobv, int *m, int *n, s *a, int *lda, s *d, s *sva, int *mv, s *v, int *ldv, s *eps, s *sfmin, s *tol, int *nsweep, s *work, int *lwork, int *info) nogil
cdef void sgsvj0(char *jobv, int *m, int *n, s *a, int *lda, s *d, s *sva, int *mv, s *v, int *ldv, s *eps, s *sfmin, s *tol, int *nsweep, s *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_sgsvj0(jobv, m, n, a, lda, d, sva, mv, v, ldv, eps, sfmin, tol, nsweep, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sgsvj1 "BLAS_FUNC(sgsvj1)"(char *jobv, int *m, int *n, int *n1, s *a, int *lda, s *d, s *sva, int *mv, s *v, int *ldv, s *eps, s *sfmin, s *tol, int *nsweep, s *work, int *lwork, int *info) nogil
cdef void sgsvj1(char *jobv, int *m, int *n, int *n1, s *a, int *lda, s *d, s *sva, int *mv, s *v, int *ldv, s *eps, s *sfmin, s *tol, int *nsweep, s *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_sgsvj1(jobv, m, n, n1, a, lda, d, sva, mv, v, ldv, eps, sfmin, tol, nsweep, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sgtcon "BLAS_FUNC(sgtcon)"(char *norm, int *n, s *dl, s *d, s *du, s *du2, int *ipiv, s *anorm, s *rcond, s *work, int *iwork, int *info) nogil
cdef void sgtcon(char *norm, int *n, s *dl, s *d, s *du, s *du2, int *ipiv, s *anorm, s *rcond, s *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_sgtcon(norm, n, dl, d, du, du2, ipiv, anorm, rcond, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sgtrfs "BLAS_FUNC(sgtrfs)"(char *trans, int *n, int *nrhs, s *dl, s *d, s *du, s *dlf, s *df, s *duf, s *du2, int *ipiv, s *b, int *ldb, s *x, int *ldx, s *ferr, s *berr, s *work, int *iwork, int *info) nogil
cdef void sgtrfs(char *trans, int *n, int *nrhs, s *dl, s *d, s *du, s *dlf, s *df, s *duf, s *du2, int *ipiv, s *b, int *ldb, s *x, int *ldx, s *ferr, s *berr, s *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_sgtrfs(trans, n, nrhs, dl, d, du, dlf, df, duf, du2, ipiv, b, ldb, x, ldx, ferr, berr, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sgtsv "BLAS_FUNC(sgtsv)"(int *n, int *nrhs, s *dl, s *d, s *du, s *b, int *ldb, int *info) nogil
cdef void sgtsv(int *n, int *nrhs, s *dl, s *d, s *du, s *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_sgtsv(n, nrhs, dl, d, du, b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sgtsvx "BLAS_FUNC(sgtsvx)"(char *fact, char *trans, int *n, int *nrhs, s *dl, s *d, s *du, s *dlf, s *df, s *duf, s *du2, int *ipiv, s *b, int *ldb, s *x, int *ldx, s *rcond, s *ferr, s *berr, s *work, int *iwork, int *info) nogil
cdef void sgtsvx(char *fact, char *trans, int *n, int *nrhs, s *dl, s *d, s *du, s *dlf, s *df, s *duf, s *du2, int *ipiv, s *b, int *ldb, s *x, int *ldx, s *rcond, s *ferr, s *berr, s *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_sgtsvx(fact, trans, n, nrhs, dl, d, du, dlf, df, duf, du2, ipiv, b, ldb, x, ldx, rcond, ferr, berr, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sgttrf "BLAS_FUNC(sgttrf)"(int *n, s *dl, s *d, s *du, s *du2, int *ipiv, int *info) nogil
cdef void sgttrf(int *n, s *dl, s *d, s *du, s *du2, int *ipiv, int *info) noexcept nogil:
    
    _fortran_sgttrf(n, dl, d, du, du2, ipiv, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sgttrs "BLAS_FUNC(sgttrs)"(char *trans, int *n, int *nrhs, s *dl, s *d, s *du, s *du2, int *ipiv, s *b, int *ldb, int *info) nogil
cdef void sgttrs(char *trans, int *n, int *nrhs, s *dl, s *d, s *du, s *du2, int *ipiv, s *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_sgttrs(trans, n, nrhs, dl, d, du, du2, ipiv, b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sgtts2 "BLAS_FUNC(sgtts2)"(int *itrans, int *n, int *nrhs, s *dl, s *d, s *du, s *du2, int *ipiv, s *b, int *ldb) nogil
cdef void sgtts2(int *itrans, int *n, int *nrhs, s *dl, s *d, s *du, s *du2, int *ipiv, s *b, int *ldb) noexcept nogil:
    
    _fortran_sgtts2(itrans, n, nrhs, dl, d, du, du2, ipiv, b, ldb)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_shgeqz "BLAS_FUNC(shgeqz)"(char *job, char *compq, char *compz, int *n, int *ilo, int *ihi, s *h, int *ldh, s *t, int *ldt, s *alphar, s *alphai, s *beta, s *q, int *ldq, s *z, int *ldz, s *work, int *lwork, int *info) nogil
cdef void shgeqz(char *job, char *compq, char *compz, int *n, int *ilo, int *ihi, s *h, int *ldh, s *t, int *ldt, s *alphar, s *alphai, s *beta, s *q, int *ldq, s *z, int *ldz, s *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_shgeqz(job, compq, compz, n, ilo, ihi, h, ldh, t, ldt, alphar, alphai, beta, q, ldq, z, ldz, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_shsein "BLAS_FUNC(shsein)"(char *side, char *eigsrc, char *initv, bint *select, int *n, s *h, int *ldh, s *wr, s *wi, s *vl, int *ldvl, s *vr, int *ldvr, int *mm, int *m, s *work, int *ifaill, int *ifailr, int *info) nogil
cdef void shsein(char *side, char *eigsrc, char *initv, bint *select, int *n, s *h, int *ldh, s *wr, s *wi, s *vl, int *ldvl, s *vr, int *ldvr, int *mm, int *m, s *work, int *ifaill, int *ifailr, int *info) noexcept nogil:
    
    _fortran_shsein(side, eigsrc, initv, select, n, h, ldh, wr, wi, vl, ldvl, vr, ldvr, mm, m, work, ifaill, ifailr, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_shseqr "BLAS_FUNC(shseqr)"(char *job, char *compz, int *n, int *ilo, int *ihi, s *h, int *ldh, s *wr, s *wi, s *z, int *ldz, s *work, int *lwork, int *info) nogil
cdef void shseqr(char *job, char *compz, int *n, int *ilo, int *ihi, s *h, int *ldh, s *wr, s *wi, s *z, int *ldz, s *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_shseqr(job, compz, n, ilo, ihi, h, ldh, wr, wi, z, ldz, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slabad "BLAS_FUNC(slabad)"(s *small, s *large) nogil
cdef void slabad(s *small, s *large) noexcept nogil:
    
    _fortran_slabad(small, large)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slabrd "BLAS_FUNC(slabrd)"(int *m, int *n, int *nb, s *a, int *lda, s *d, s *e, s *tauq, s *taup, s *x, int *ldx, s *y, int *ldy) nogil
cdef void slabrd(int *m, int *n, int *nb, s *a, int *lda, s *d, s *e, s *tauq, s *taup, s *x, int *ldx, s *y, int *ldy) noexcept nogil:
    
    _fortran_slabrd(m, n, nb, a, lda, d, e, tauq, taup, x, ldx, y, ldy)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slacn2 "BLAS_FUNC(slacn2)"(int *n, s *v, s *x, int *isgn, s *est, int *kase, int *isave) nogil
cdef void slacn2(int *n, s *v, s *x, int *isgn, s *est, int *kase, int *isave) noexcept nogil:
    
    _fortran_slacn2(n, v, x, isgn, est, kase, isave)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slacon "BLAS_FUNC(slacon)"(int *n, s *v, s *x, int *isgn, s *est, int *kase) nogil
cdef void slacon(int *n, s *v, s *x, int *isgn, s *est, int *kase) noexcept nogil:
    
    _fortran_slacon(n, v, x, isgn, est, kase)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slacpy "BLAS_FUNC(slacpy)"(char *uplo, int *m, int *n, s *a, int *lda, s *b, int *ldb) nogil
cdef void slacpy(char *uplo, int *m, int *n, s *a, int *lda, s *b, int *ldb) noexcept nogil:
    
    _fortran_slacpy(uplo, m, n, a, lda, b, ldb)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sladiv "BLAS_FUNC(sladiv)"(s *a, s *b, s *c, s *d, s *p, s *q) nogil
cdef void sladiv(s *a, s *b, s *c, s *d, s *p, s *q) noexcept nogil:
    
    _fortran_sladiv(a, b, c, d, p, q)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slae2 "BLAS_FUNC(slae2)"(s *a, s *b, s *c, s *rt1, s *rt2) nogil
cdef void slae2(s *a, s *b, s *c, s *rt1, s *rt2) noexcept nogil:
    
    _fortran_slae2(a, b, c, rt1, rt2)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slaebz "BLAS_FUNC(slaebz)"(int *ijob, int *nitmax, int *n, int *mmax, int *minp, int *nbmin, s *abstol, s *reltol, s *pivmin, s *d, s *e, s *e2, int *nval, s *ab, s *c, int *mout, int *nab, s *work, int *iwork, int *info) nogil
cdef void slaebz(int *ijob, int *nitmax, int *n, int *mmax, int *minp, int *nbmin, s *abstol, s *reltol, s *pivmin, s *d, s *e, s *e2, int *nval, s *ab, s *c, int *mout, int *nab, s *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_slaebz(ijob, nitmax, n, mmax, minp, nbmin, abstol, reltol, pivmin, d, e, e2, nval, ab, c, mout, nab, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slaed0 "BLAS_FUNC(slaed0)"(int *icompq, int *qsiz, int *n, s *d, s *e, s *q, int *ldq, s *qstore, int *ldqs, s *work, int *iwork, int *info) nogil
cdef void slaed0(int *icompq, int *qsiz, int *n, s *d, s *e, s *q, int *ldq, s *qstore, int *ldqs, s *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_slaed0(icompq, qsiz, n, d, e, q, ldq, qstore, ldqs, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slaed1 "BLAS_FUNC(slaed1)"(int *n, s *d, s *q, int *ldq, int *indxq, s *rho, int *cutpnt, s *work, int *iwork, int *info) nogil
cdef void slaed1(int *n, s *d, s *q, int *ldq, int *indxq, s *rho, int *cutpnt, s *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_slaed1(n, d, q, ldq, indxq, rho, cutpnt, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slaed2 "BLAS_FUNC(slaed2)"(int *k, int *n, int *n1, s *d, s *q, int *ldq, int *indxq, s *rho, s *z, s *dlamda, s *w, s *q2, int *indx, int *indxc, int *indxp, int *coltyp, int *info) nogil
cdef void slaed2(int *k, int *n, int *n1, s *d, s *q, int *ldq, int *indxq, s *rho, s *z, s *dlamda, s *w, s *q2, int *indx, int *indxc, int *indxp, int *coltyp, int *info) noexcept nogil:
    
    _fortran_slaed2(k, n, n1, d, q, ldq, indxq, rho, z, dlamda, w, q2, indx, indxc, indxp, coltyp, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slaed3 "BLAS_FUNC(slaed3)"(int *k, int *n, int *n1, s *d, s *q, int *ldq, s *rho, s *dlamda, s *q2, int *indx, int *ctot, s *w, s *s, int *info) nogil
cdef void slaed3(int *k, int *n, int *n1, s *d, s *q, int *ldq, s *rho, s *dlamda, s *q2, int *indx, int *ctot, s *w, s *s, int *info) noexcept nogil:
    
    _fortran_slaed3(k, n, n1, d, q, ldq, rho, dlamda, q2, indx, ctot, w, s, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slaed4 "BLAS_FUNC(slaed4)"(int *n, int *i, s *d, s *z, s *delta, s *rho, s *dlam, int *info) nogil
cdef void slaed4(int *n, int *i, s *d, s *z, s *delta, s *rho, s *dlam, int *info) noexcept nogil:
    
    _fortran_slaed4(n, i, d, z, delta, rho, dlam, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slaed5 "BLAS_FUNC(slaed5)"(int *i, s *d, s *z, s *delta, s *rho, s *dlam) nogil
cdef void slaed5(int *i, s *d, s *z, s *delta, s *rho, s *dlam) noexcept nogil:
    
    _fortran_slaed5(i, d, z, delta, rho, dlam)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slaed6 "BLAS_FUNC(slaed6)"(int *kniter, bint *orgati, s *rho, s *d, s *z, s *finit, s *tau, int *info) nogil
cdef void slaed6(int *kniter, bint *orgati, s *rho, s *d, s *z, s *finit, s *tau, int *info) noexcept nogil:
    
    _fortran_slaed6(kniter, orgati, rho, d, z, finit, tau, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slaed7 "BLAS_FUNC(slaed7)"(int *icompq, int *n, int *qsiz, int *tlvls, int *curlvl, int *curpbm, s *d, s *q, int *ldq, int *indxq, s *rho, int *cutpnt, s *qstore, int *qptr, int *prmptr, int *perm, int *givptr, int *givcol, s *givnum, s *work, int *iwork, int *info) nogil
cdef void slaed7(int *icompq, int *n, int *qsiz, int *tlvls, int *curlvl, int *curpbm, s *d, s *q, int *ldq, int *indxq, s *rho, int *cutpnt, s *qstore, int *qptr, int *prmptr, int *perm, int *givptr, int *givcol, s *givnum, s *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_slaed7(icompq, n, qsiz, tlvls, curlvl, curpbm, d, q, ldq, indxq, rho, cutpnt, qstore, qptr, prmptr, perm, givptr, givcol, givnum, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slaed8 "BLAS_FUNC(slaed8)"(int *icompq, int *k, int *n, int *qsiz, s *d, s *q, int *ldq, int *indxq, s *rho, int *cutpnt, s *z, s *dlamda, s *q2, int *ldq2, s *w, int *perm, int *givptr, int *givcol, s *givnum, int *indxp, int *indx, int *info) nogil
cdef void slaed8(int *icompq, int *k, int *n, int *qsiz, s *d, s *q, int *ldq, int *indxq, s *rho, int *cutpnt, s *z, s *dlamda, s *q2, int *ldq2, s *w, int *perm, int *givptr, int *givcol, s *givnum, int *indxp, int *indx, int *info) noexcept nogil:
    
    _fortran_slaed8(icompq, k, n, qsiz, d, q, ldq, indxq, rho, cutpnt, z, dlamda, q2, ldq2, w, perm, givptr, givcol, givnum, indxp, indx, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slaed9 "BLAS_FUNC(slaed9)"(int *k, int *kstart, int *kstop, int *n, s *d, s *q, int *ldq, s *rho, s *dlamda, s *w, s *s, int *lds, int *info) nogil
cdef void slaed9(int *k, int *kstart, int *kstop, int *n, s *d, s *q, int *ldq, s *rho, s *dlamda, s *w, s *s, int *lds, int *info) noexcept nogil:
    
    _fortran_slaed9(k, kstart, kstop, n, d, q, ldq, rho, dlamda, w, s, lds, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slaeda "BLAS_FUNC(slaeda)"(int *n, int *tlvls, int *curlvl, int *curpbm, int *prmptr, int *perm, int *givptr, int *givcol, s *givnum, s *q, int *qptr, s *z, s *ztemp, int *info) nogil
cdef void slaeda(int *n, int *tlvls, int *curlvl, int *curpbm, int *prmptr, int *perm, int *givptr, int *givcol, s *givnum, s *q, int *qptr, s *z, s *ztemp, int *info) noexcept nogil:
    
    _fortran_slaeda(n, tlvls, curlvl, curpbm, prmptr, perm, givptr, givcol, givnum, q, qptr, z, ztemp, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slaein "BLAS_FUNC(slaein)"(bint *rightv, bint *noinit, int *n, s *h, int *ldh, s *wr, s *wi, s *vr, s *vi, s *b, int *ldb, s *work, s *eps3, s *smlnum, s *bignum, int *info) nogil
cdef void slaein(bint *rightv, bint *noinit, int *n, s *h, int *ldh, s *wr, s *wi, s *vr, s *vi, s *b, int *ldb, s *work, s *eps3, s *smlnum, s *bignum, int *info) noexcept nogil:
    
    _fortran_slaein(rightv, noinit, n, h, ldh, wr, wi, vr, vi, b, ldb, work, eps3, smlnum, bignum, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slaev2 "BLAS_FUNC(slaev2)"(s *a, s *b, s *c, s *rt1, s *rt2, s *cs1, s *sn1) nogil
cdef void slaev2(s *a, s *b, s *c, s *rt1, s *rt2, s *cs1, s *sn1) noexcept nogil:
    
    _fortran_slaev2(a, b, c, rt1, rt2, cs1, sn1)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slaexc "BLAS_FUNC(slaexc)"(bint *wantq, int *n, s *t, int *ldt, s *q, int *ldq, int *j1, int *n1, int *n2, s *work, int *info) nogil
cdef void slaexc(bint *wantq, int *n, s *t, int *ldt, s *q, int *ldq, int *j1, int *n1, int *n2, s *work, int *info) noexcept nogil:
    
    _fortran_slaexc(wantq, n, t, ldt, q, ldq, j1, n1, n2, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slag2 "BLAS_FUNC(slag2)"(s *a, int *lda, s *b, int *ldb, s *safmin, s *scale1, s *scale2, s *wr1, s *wr2, s *wi) nogil
cdef void slag2(s *a, int *lda, s *b, int *ldb, s *safmin, s *scale1, s *scale2, s *wr1, s *wr2, s *wi) noexcept nogil:
    
    _fortran_slag2(a, lda, b, ldb, safmin, scale1, scale2, wr1, wr2, wi)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slag2d "BLAS_FUNC(slag2d)"(int *m, int *n, s *sa, int *ldsa, d *a, int *lda, int *info) nogil
cdef void slag2d(int *m, int *n, s *sa, int *ldsa, d *a, int *lda, int *info) noexcept nogil:
    
    _fortran_slag2d(m, n, sa, ldsa, a, lda, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slags2 "BLAS_FUNC(slags2)"(bint *upper, s *a1, s *a2, s *a3, s *b1, s *b2, s *b3, s *csu, s *snu, s *csv, s *snv, s *csq, s *snq) nogil
cdef void slags2(bint *upper, s *a1, s *a2, s *a3, s *b1, s *b2, s *b3, s *csu, s *snu, s *csv, s *snv, s *csq, s *snq) noexcept nogil:
    
    _fortran_slags2(upper, a1, a2, a3, b1, b2, b3, csu, snu, csv, snv, csq, snq)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slagtf "BLAS_FUNC(slagtf)"(int *n, s *a, s *lambda_, s *b, s *c, s *tol, s *d, int *in_, int *info) nogil
cdef void slagtf(int *n, s *a, s *lambda_, s *b, s *c, s *tol, s *d, int *in_, int *info) noexcept nogil:
    
    _fortran_slagtf(n, a, lambda_, b, c, tol, d, in_, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slagtm "BLAS_FUNC(slagtm)"(char *trans, int *n, int *nrhs, s *alpha, s *dl, s *d, s *du, s *x, int *ldx, s *beta, s *b, int *ldb) nogil
cdef void slagtm(char *trans, int *n, int *nrhs, s *alpha, s *dl, s *d, s *du, s *x, int *ldx, s *beta, s *b, int *ldb) noexcept nogil:
    
    _fortran_slagtm(trans, n, nrhs, alpha, dl, d, du, x, ldx, beta, b, ldb)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slagts "BLAS_FUNC(slagts)"(int *job, int *n, s *a, s *b, s *c, s *d, int *in_, s *y, s *tol, int *info) nogil
cdef void slagts(int *job, int *n, s *a, s *b, s *c, s *d, int *in_, s *y, s *tol, int *info) noexcept nogil:
    
    _fortran_slagts(job, n, a, b, c, d, in_, y, tol, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slagv2 "BLAS_FUNC(slagv2)"(s *a, int *lda, s *b, int *ldb, s *alphar, s *alphai, s *beta, s *csl, s *snl, s *csr, s *snr) nogil
cdef void slagv2(s *a, int *lda, s *b, int *ldb, s *alphar, s *alphai, s *beta, s *csl, s *snl, s *csr, s *snr) noexcept nogil:
    
    _fortran_slagv2(a, lda, b, ldb, alphar, alphai, beta, csl, snl, csr, snr)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slahqr "BLAS_FUNC(slahqr)"(bint *wantt, bint *wantz, int *n, int *ilo, int *ihi, s *h, int *ldh, s *wr, s *wi, int *iloz, int *ihiz, s *z, int *ldz, int *info) nogil
cdef void slahqr(bint *wantt, bint *wantz, int *n, int *ilo, int *ihi, s *h, int *ldh, s *wr, s *wi, int *iloz, int *ihiz, s *z, int *ldz, int *info) noexcept nogil:
    
    _fortran_slahqr(wantt, wantz, n, ilo, ihi, h, ldh, wr, wi, iloz, ihiz, z, ldz, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slahr2 "BLAS_FUNC(slahr2)"(int *n, int *k, int *nb, s *a, int *lda, s *tau, s *t, int *ldt, s *y, int *ldy) nogil
cdef void slahr2(int *n, int *k, int *nb, s *a, int *lda, s *tau, s *t, int *ldt, s *y, int *ldy) noexcept nogil:
    
    _fortran_slahr2(n, k, nb, a, lda, tau, t, ldt, y, ldy)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slaic1 "BLAS_FUNC(slaic1)"(int *job, int *j, s *x, s *sest, s *w, s *gamma, s *sestpr, s *s, s *c) nogil
cdef void slaic1(int *job, int *j, s *x, s *sest, s *w, s *gamma, s *sestpr, s *s, s *c) noexcept nogil:
    
    _fortran_slaic1(job, j, x, sest, w, gamma, sestpr, s, c)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slaln2 "BLAS_FUNC(slaln2)"(bint *ltrans, int *na, int *nw, s *smin, s *ca, s *a, int *lda, s *d1, s *d2, s *b, int *ldb, s *wr, s *wi, s *x, int *ldx, s *scale, s *xnorm, int *info) nogil
cdef void slaln2(bint *ltrans, int *na, int *nw, s *smin, s *ca, s *a, int *lda, s *d1, s *d2, s *b, int *ldb, s *wr, s *wi, s *x, int *ldx, s *scale, s *xnorm, int *info) noexcept nogil:
    
    _fortran_slaln2(ltrans, na, nw, smin, ca, a, lda, d1, d2, b, ldb, wr, wi, x, ldx, scale, xnorm, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slals0 "BLAS_FUNC(slals0)"(int *icompq, int *nl, int *nr, int *sqre, int *nrhs, s *b, int *ldb, s *bx, int *ldbx, int *perm, int *givptr, int *givcol, int *ldgcol, s *givnum, int *ldgnum, s *poles, s *difl, s *difr, s *z, int *k, s *c, s *s, s *work, int *info) nogil
cdef void slals0(int *icompq, int *nl, int *nr, int *sqre, int *nrhs, s *b, int *ldb, s *bx, int *ldbx, int *perm, int *givptr, int *givcol, int *ldgcol, s *givnum, int *ldgnum, s *poles, s *difl, s *difr, s *z, int *k, s *c, s *s, s *work, int *info) noexcept nogil:
    
    _fortran_slals0(icompq, nl, nr, sqre, nrhs, b, ldb, bx, ldbx, perm, givptr, givcol, ldgcol, givnum, ldgnum, poles, difl, difr, z, k, c, s, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slalsa "BLAS_FUNC(slalsa)"(int *icompq, int *smlsiz, int *n, int *nrhs, s *b, int *ldb, s *bx, int *ldbx, s *u, int *ldu, s *vt, int *k, s *difl, s *difr, s *z, s *poles, int *givptr, int *givcol, int *ldgcol, int *perm, s *givnum, s *c, s *s, s *work, int *iwork, int *info) nogil
cdef void slalsa(int *icompq, int *smlsiz, int *n, int *nrhs, s *b, int *ldb, s *bx, int *ldbx, s *u, int *ldu, s *vt, int *k, s *difl, s *difr, s *z, s *poles, int *givptr, int *givcol, int *ldgcol, int *perm, s *givnum, s *c, s *s, s *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_slalsa(icompq, smlsiz, n, nrhs, b, ldb, bx, ldbx, u, ldu, vt, k, difl, difr, z, poles, givptr, givcol, ldgcol, perm, givnum, c, s, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slalsd "BLAS_FUNC(slalsd)"(char *uplo, int *smlsiz, int *n, int *nrhs, s *d, s *e, s *b, int *ldb, s *rcond, int *rank, s *work, int *iwork, int *info) nogil
cdef void slalsd(char *uplo, int *smlsiz, int *n, int *nrhs, s *d, s *e, s *b, int *ldb, s *rcond, int *rank, s *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_slalsd(uplo, smlsiz, n, nrhs, d, e, b, ldb, rcond, rank, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    s _fortran_slamch "BLAS_FUNC(slamch)"(char *cmach) nogil
cdef s slamch(char *cmach) noexcept nogil:
    
    return _fortran_slamch(cmach)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slamrg "BLAS_FUNC(slamrg)"(int *n1, int *n2, s *a, int *strd1, int *strd2, int *index_bn) nogil
cdef void slamrg(int *n1, int *n2, s *a, int *strd1, int *strd2, int *index_bn) noexcept nogil:
    
    _fortran_slamrg(n1, n2, a, strd1, strd2, index_bn)
    

cdef extern from "_lapack_subroutines.h":
    s _fortran_slangb "BLAS_FUNC(slangb)"(char *norm, int *n, int *kl, int *ku, s *ab, int *ldab, s *work) nogil
cdef s slangb(char *norm, int *n, int *kl, int *ku, s *ab, int *ldab, s *work) noexcept nogil:
    
    return _fortran_slangb(norm, n, kl, ku, ab, ldab, work)
    

cdef extern from "_lapack_subroutines.h":
    s _fortran_slange "BLAS_FUNC(slange)"(char *norm, int *m, int *n, s *a, int *lda, s *work) nogil
cdef s slange(char *norm, int *m, int *n, s *a, int *lda, s *work) noexcept nogil:
    
    return _fortran_slange(norm, m, n, a, lda, work)
    

cdef extern from "_lapack_subroutines.h":
    s _fortran_slangt "BLAS_FUNC(slangt)"(char *norm, int *n, s *dl, s *d, s *du) nogil
cdef s slangt(char *norm, int *n, s *dl, s *d, s *du) noexcept nogil:
    
    return _fortran_slangt(norm, n, dl, d, du)
    

cdef extern from "_lapack_subroutines.h":
    s _fortran_slanhs "BLAS_FUNC(slanhs)"(char *norm, int *n, s *a, int *lda, s *work) nogil
cdef s slanhs(char *norm, int *n, s *a, int *lda, s *work) noexcept nogil:
    
    return _fortran_slanhs(norm, n, a, lda, work)
    

cdef extern from "_lapack_subroutines.h":
    s _fortran_slansb "BLAS_FUNC(slansb)"(char *norm, char *uplo, int *n, int *k, s *ab, int *ldab, s *work) nogil
cdef s slansb(char *norm, char *uplo, int *n, int *k, s *ab, int *ldab, s *work) noexcept nogil:
    
    return _fortran_slansb(norm, uplo, n, k, ab, ldab, work)
    

cdef extern from "_lapack_subroutines.h":
    s _fortran_slansf "BLAS_FUNC(slansf)"(char *norm, char *transr, char *uplo, int *n, s *a, s *work) nogil
cdef s slansf(char *norm, char *transr, char *uplo, int *n, s *a, s *work) noexcept nogil:
    
    return _fortran_slansf(norm, transr, uplo, n, a, work)
    

cdef extern from "_lapack_subroutines.h":
    s _fortran_slansp "BLAS_FUNC(slansp)"(char *norm, char *uplo, int *n, s *ap, s *work) nogil
cdef s slansp(char *norm, char *uplo, int *n, s *ap, s *work) noexcept nogil:
    
    return _fortran_slansp(norm, uplo, n, ap, work)
    

cdef extern from "_lapack_subroutines.h":
    s _fortran_slanst "BLAS_FUNC(slanst)"(char *norm, int *n, s *d, s *e) nogil
cdef s slanst(char *norm, int *n, s *d, s *e) noexcept nogil:
    
    return _fortran_slanst(norm, n, d, e)
    

cdef extern from "_lapack_subroutines.h":
    s _fortran_slansy "BLAS_FUNC(slansy)"(char *norm, char *uplo, int *n, s *a, int *lda, s *work) nogil
cdef s slansy(char *norm, char *uplo, int *n, s *a, int *lda, s *work) noexcept nogil:
    
    return _fortran_slansy(norm, uplo, n, a, lda, work)
    

cdef extern from "_lapack_subroutines.h":
    s _fortran_slantb "BLAS_FUNC(slantb)"(char *norm, char *uplo, char *diag, int *n, int *k, s *ab, int *ldab, s *work) nogil
cdef s slantb(char *norm, char *uplo, char *diag, int *n, int *k, s *ab, int *ldab, s *work) noexcept nogil:
    
    return _fortran_slantb(norm, uplo, diag, n, k, ab, ldab, work)
    

cdef extern from "_lapack_subroutines.h":
    s _fortran_slantp "BLAS_FUNC(slantp)"(char *norm, char *uplo, char *diag, int *n, s *ap, s *work) nogil
cdef s slantp(char *norm, char *uplo, char *diag, int *n, s *ap, s *work) noexcept nogil:
    
    return _fortran_slantp(norm, uplo, diag, n, ap, work)
    

cdef extern from "_lapack_subroutines.h":
    s _fortran_slantr "BLAS_FUNC(slantr)"(char *norm, char *uplo, char *diag, int *m, int *n, s *a, int *lda, s *work) nogil
cdef s slantr(char *norm, char *uplo, char *diag, int *m, int *n, s *a, int *lda, s *work) noexcept nogil:
    
    return _fortran_slantr(norm, uplo, diag, m, n, a, lda, work)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slanv2 "BLAS_FUNC(slanv2)"(s *a, s *b, s *c, s *d, s *rt1r, s *rt1i, s *rt2r, s *rt2i, s *cs, s *sn) nogil
cdef void slanv2(s *a, s *b, s *c, s *d, s *rt1r, s *rt1i, s *rt2r, s *rt2i, s *cs, s *sn) noexcept nogil:
    
    _fortran_slanv2(a, b, c, d, rt1r, rt1i, rt2r, rt2i, cs, sn)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slapll "BLAS_FUNC(slapll)"(int *n, s *x, int *incx, s *y, int *incy, s *ssmin) nogil
cdef void slapll(int *n, s *x, int *incx, s *y, int *incy, s *ssmin) noexcept nogil:
    
    _fortran_slapll(n, x, incx, y, incy, ssmin)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slapmr "BLAS_FUNC(slapmr)"(bint *forwrd, int *m, int *n, s *x, int *ldx, int *k) nogil
cdef void slapmr(bint *forwrd, int *m, int *n, s *x, int *ldx, int *k) noexcept nogil:
    
    _fortran_slapmr(forwrd, m, n, x, ldx, k)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slapmt "BLAS_FUNC(slapmt)"(bint *forwrd, int *m, int *n, s *x, int *ldx, int *k) nogil
cdef void slapmt(bint *forwrd, int *m, int *n, s *x, int *ldx, int *k) noexcept nogil:
    
    _fortran_slapmt(forwrd, m, n, x, ldx, k)
    

cdef extern from "_lapack_subroutines.h":
    s _fortran_slapy2 "BLAS_FUNC(slapy2)"(s *x, s *y) nogil
cdef s slapy2(s *x, s *y) noexcept nogil:
    
    return _fortran_slapy2(x, y)
    

cdef extern from "_lapack_subroutines.h":
    s _fortran_slapy3 "BLAS_FUNC(slapy3)"(s *x, s *y, s *z) nogil
cdef s slapy3(s *x, s *y, s *z) noexcept nogil:
    
    return _fortran_slapy3(x, y, z)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slaqgb "BLAS_FUNC(slaqgb)"(int *m, int *n, int *kl, int *ku, s *ab, int *ldab, s *r, s *c, s *rowcnd, s *colcnd, s *amax, char *equed) nogil
cdef void slaqgb(int *m, int *n, int *kl, int *ku, s *ab, int *ldab, s *r, s *c, s *rowcnd, s *colcnd, s *amax, char *equed) noexcept nogil:
    
    _fortran_slaqgb(m, n, kl, ku, ab, ldab, r, c, rowcnd, colcnd, amax, equed)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slaqge "BLAS_FUNC(slaqge)"(int *m, int *n, s *a, int *lda, s *r, s *c, s *rowcnd, s *colcnd, s *amax, char *equed) nogil
cdef void slaqge(int *m, int *n, s *a, int *lda, s *r, s *c, s *rowcnd, s *colcnd, s *amax, char *equed) noexcept nogil:
    
    _fortran_slaqge(m, n, a, lda, r, c, rowcnd, colcnd, amax, equed)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slaqp2 "BLAS_FUNC(slaqp2)"(int *m, int *n, int *offset, s *a, int *lda, int *jpvt, s *tau, s *vn1, s *vn2, s *work) nogil
cdef void slaqp2(int *m, int *n, int *offset, s *a, int *lda, int *jpvt, s *tau, s *vn1, s *vn2, s *work) noexcept nogil:
    
    _fortran_slaqp2(m, n, offset, a, lda, jpvt, tau, vn1, vn2, work)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slaqps "BLAS_FUNC(slaqps)"(int *m, int *n, int *offset, int *nb, int *kb, s *a, int *lda, int *jpvt, s *tau, s *vn1, s *vn2, s *auxv, s *f, int *ldf) nogil
cdef void slaqps(int *m, int *n, int *offset, int *nb, int *kb, s *a, int *lda, int *jpvt, s *tau, s *vn1, s *vn2, s *auxv, s *f, int *ldf) noexcept nogil:
    
    _fortran_slaqps(m, n, offset, nb, kb, a, lda, jpvt, tau, vn1, vn2, auxv, f, ldf)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slaqr0 "BLAS_FUNC(slaqr0)"(bint *wantt, bint *wantz, int *n, int *ilo, int *ihi, s *h, int *ldh, s *wr, s *wi, int *iloz, int *ihiz, s *z, int *ldz, s *work, int *lwork, int *info) nogil
cdef void slaqr0(bint *wantt, bint *wantz, int *n, int *ilo, int *ihi, s *h, int *ldh, s *wr, s *wi, int *iloz, int *ihiz, s *z, int *ldz, s *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_slaqr0(wantt, wantz, n, ilo, ihi, h, ldh, wr, wi, iloz, ihiz, z, ldz, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slaqr1 "BLAS_FUNC(slaqr1)"(int *n, s *h, int *ldh, s *sr1, s *si1, s *sr2, s *si2, s *v) nogil
cdef void slaqr1(int *n, s *h, int *ldh, s *sr1, s *si1, s *sr2, s *si2, s *v) noexcept nogil:
    
    _fortran_slaqr1(n, h, ldh, sr1, si1, sr2, si2, v)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slaqr2 "BLAS_FUNC(slaqr2)"(bint *wantt, bint *wantz, int *n, int *ktop, int *kbot, int *nw, s *h, int *ldh, int *iloz, int *ihiz, s *z, int *ldz, int *ns, int *nd, s *sr, s *si, s *v, int *ldv, int *nh, s *t, int *ldt, int *nv, s *wv, int *ldwv, s *work, int *lwork) nogil
cdef void slaqr2(bint *wantt, bint *wantz, int *n, int *ktop, int *kbot, int *nw, s *h, int *ldh, int *iloz, int *ihiz, s *z, int *ldz, int *ns, int *nd, s *sr, s *si, s *v, int *ldv, int *nh, s *t, int *ldt, int *nv, s *wv, int *ldwv, s *work, int *lwork) noexcept nogil:
    
    _fortran_slaqr2(wantt, wantz, n, ktop, kbot, nw, h, ldh, iloz, ihiz, z, ldz, ns, nd, sr, si, v, ldv, nh, t, ldt, nv, wv, ldwv, work, lwork)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slaqr3 "BLAS_FUNC(slaqr3)"(bint *wantt, bint *wantz, int *n, int *ktop, int *kbot, int *nw, s *h, int *ldh, int *iloz, int *ihiz, s *z, int *ldz, int *ns, int *nd, s *sr, s *si, s *v, int *ldv, int *nh, s *t, int *ldt, int *nv, s *wv, int *ldwv, s *work, int *lwork) nogil
cdef void slaqr3(bint *wantt, bint *wantz, int *n, int *ktop, int *kbot, int *nw, s *h, int *ldh, int *iloz, int *ihiz, s *z, int *ldz, int *ns, int *nd, s *sr, s *si, s *v, int *ldv, int *nh, s *t, int *ldt, int *nv, s *wv, int *ldwv, s *work, int *lwork) noexcept nogil:
    
    _fortran_slaqr3(wantt, wantz, n, ktop, kbot, nw, h, ldh, iloz, ihiz, z, ldz, ns, nd, sr, si, v, ldv, nh, t, ldt, nv, wv, ldwv, work, lwork)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slaqr4 "BLAS_FUNC(slaqr4)"(bint *wantt, bint *wantz, int *n, int *ilo, int *ihi, s *h, int *ldh, s *wr, s *wi, int *iloz, int *ihiz, s *z, int *ldz, s *work, int *lwork, int *info) nogil
cdef void slaqr4(bint *wantt, bint *wantz, int *n, int *ilo, int *ihi, s *h, int *ldh, s *wr, s *wi, int *iloz, int *ihiz, s *z, int *ldz, s *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_slaqr4(wantt, wantz, n, ilo, ihi, h, ldh, wr, wi, iloz, ihiz, z, ldz, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slaqr5 "BLAS_FUNC(slaqr5)"(bint *wantt, bint *wantz, int *kacc22, int *n, int *ktop, int *kbot, int *nshfts, s *sr, s *si, s *h, int *ldh, int *iloz, int *ihiz, s *z, int *ldz, s *v, int *ldv, s *u, int *ldu, int *nv, s *wv, int *ldwv, int *nh, s *wh, int *ldwh) nogil
cdef void slaqr5(bint *wantt, bint *wantz, int *kacc22, int *n, int *ktop, int *kbot, int *nshfts, s *sr, s *si, s *h, int *ldh, int *iloz, int *ihiz, s *z, int *ldz, s *v, int *ldv, s *u, int *ldu, int *nv, s *wv, int *ldwv, int *nh, s *wh, int *ldwh) noexcept nogil:
    
    _fortran_slaqr5(wantt, wantz, kacc22, n, ktop, kbot, nshfts, sr, si, h, ldh, iloz, ihiz, z, ldz, v, ldv, u, ldu, nv, wv, ldwv, nh, wh, ldwh)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slaqsb "BLAS_FUNC(slaqsb)"(char *uplo, int *n, int *kd, s *ab, int *ldab, s *s, s *scond, s *amax, char *equed) nogil
cdef void slaqsb(char *uplo, int *n, int *kd, s *ab, int *ldab, s *s, s *scond, s *amax, char *equed) noexcept nogil:
    
    _fortran_slaqsb(uplo, n, kd, ab, ldab, s, scond, amax, equed)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slaqsp "BLAS_FUNC(slaqsp)"(char *uplo, int *n, s *ap, s *s, s *scond, s *amax, char *equed) nogil
cdef void slaqsp(char *uplo, int *n, s *ap, s *s, s *scond, s *amax, char *equed) noexcept nogil:
    
    _fortran_slaqsp(uplo, n, ap, s, scond, amax, equed)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slaqsy "BLAS_FUNC(slaqsy)"(char *uplo, int *n, s *a, int *lda, s *s, s *scond, s *amax, char *equed) nogil
cdef void slaqsy(char *uplo, int *n, s *a, int *lda, s *s, s *scond, s *amax, char *equed) noexcept nogil:
    
    _fortran_slaqsy(uplo, n, a, lda, s, scond, amax, equed)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slaqtr "BLAS_FUNC(slaqtr)"(bint *ltran, bint *lreal, int *n, s *t, int *ldt, s *b, s *w, s *scale, s *x, s *work, int *info) nogil
cdef void slaqtr(bint *ltran, bint *lreal, int *n, s *t, int *ldt, s *b, s *w, s *scale, s *x, s *work, int *info) noexcept nogil:
    
    _fortran_slaqtr(ltran, lreal, n, t, ldt, b, w, scale, x, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slar1v "BLAS_FUNC(slar1v)"(int *n, int *b1, int *bn, s *lambda_, s *d, s *l, s *ld, s *lld, s *pivmin, s *gaptol, s *z, bint *wantnc, int *negcnt, s *ztz, s *mingma, int *r, int *isuppz, s *nrminv, s *resid, s *rqcorr, s *work) nogil
cdef void slar1v(int *n, int *b1, int *bn, s *lambda_, s *d, s *l, s *ld, s *lld, s *pivmin, s *gaptol, s *z, bint *wantnc, int *negcnt, s *ztz, s *mingma, int *r, int *isuppz, s *nrminv, s *resid, s *rqcorr, s *work) noexcept nogil:
    
    _fortran_slar1v(n, b1, bn, lambda_, d, l, ld, lld, pivmin, gaptol, z, wantnc, negcnt, ztz, mingma, r, isuppz, nrminv, resid, rqcorr, work)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slar2v "BLAS_FUNC(slar2v)"(int *n, s *x, s *y, s *z, int *incx, s *c, s *s, int *incc) nogil
cdef void slar2v(int *n, s *x, s *y, s *z, int *incx, s *c, s *s, int *incc) noexcept nogil:
    
    _fortran_slar2v(n, x, y, z, incx, c, s, incc)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slarf "BLAS_FUNC(slarf)"(char *side, int *m, int *n, s *v, int *incv, s *tau, s *c, int *ldc, s *work) nogil
cdef void slarf(char *side, int *m, int *n, s *v, int *incv, s *tau, s *c, int *ldc, s *work) noexcept nogil:
    
    _fortran_slarf(side, m, n, v, incv, tau, c, ldc, work)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slarfb "BLAS_FUNC(slarfb)"(char *side, char *trans, char *direct, char *storev, int *m, int *n, int *k, s *v, int *ldv, s *t, int *ldt, s *c, int *ldc, s *work, int *ldwork) nogil
cdef void slarfb(char *side, char *trans, char *direct, char *storev, int *m, int *n, int *k, s *v, int *ldv, s *t, int *ldt, s *c, int *ldc, s *work, int *ldwork) noexcept nogil:
    
    _fortran_slarfb(side, trans, direct, storev, m, n, k, v, ldv, t, ldt, c, ldc, work, ldwork)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slarfg "BLAS_FUNC(slarfg)"(int *n, s *alpha, s *x, int *incx, s *tau) nogil
cdef void slarfg(int *n, s *alpha, s *x, int *incx, s *tau) noexcept nogil:
    
    _fortran_slarfg(n, alpha, x, incx, tau)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slarfgp "BLAS_FUNC(slarfgp)"(int *n, s *alpha, s *x, int *incx, s *tau) nogil
cdef void slarfgp(int *n, s *alpha, s *x, int *incx, s *tau) noexcept nogil:
    
    _fortran_slarfgp(n, alpha, x, incx, tau)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slarft "BLAS_FUNC(slarft)"(char *direct, char *storev, int *n, int *k, s *v, int *ldv, s *tau, s *t, int *ldt) nogil
cdef void slarft(char *direct, char *storev, int *n, int *k, s *v, int *ldv, s *tau, s *t, int *ldt) noexcept nogil:
    
    _fortran_slarft(direct, storev, n, k, v, ldv, tau, t, ldt)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slarfx "BLAS_FUNC(slarfx)"(char *side, int *m, int *n, s *v, s *tau, s *c, int *ldc, s *work) nogil
cdef void slarfx(char *side, int *m, int *n, s *v, s *tau, s *c, int *ldc, s *work) noexcept nogil:
    
    _fortran_slarfx(side, m, n, v, tau, c, ldc, work)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slargv "BLAS_FUNC(slargv)"(int *n, s *x, int *incx, s *y, int *incy, s *c, int *incc) nogil
cdef void slargv(int *n, s *x, int *incx, s *y, int *incy, s *c, int *incc) noexcept nogil:
    
    _fortran_slargv(n, x, incx, y, incy, c, incc)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slarnv "BLAS_FUNC(slarnv)"(int *idist, int *iseed, int *n, s *x) nogil
cdef void slarnv(int *idist, int *iseed, int *n, s *x) noexcept nogil:
    
    _fortran_slarnv(idist, iseed, n, x)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slarra "BLAS_FUNC(slarra)"(int *n, s *d, s *e, s *e2, s *spltol, s *tnrm, int *nsplit, int *isplit, int *info) nogil
cdef void slarra(int *n, s *d, s *e, s *e2, s *spltol, s *tnrm, int *nsplit, int *isplit, int *info) noexcept nogil:
    
    _fortran_slarra(n, d, e, e2, spltol, tnrm, nsplit, isplit, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slarrb "BLAS_FUNC(slarrb)"(int *n, s *d, s *lld, int *ifirst, int *ilast, s *rtol1, s *rtol2, int *offset, s *w, s *wgap, s *werr, s *work, int *iwork, s *pivmin, s *spdiam, int *twist, int *info) nogil
cdef void slarrb(int *n, s *d, s *lld, int *ifirst, int *ilast, s *rtol1, s *rtol2, int *offset, s *w, s *wgap, s *werr, s *work, int *iwork, s *pivmin, s *spdiam, int *twist, int *info) noexcept nogil:
    
    _fortran_slarrb(n, d, lld, ifirst, ilast, rtol1, rtol2, offset, w, wgap, werr, work, iwork, pivmin, spdiam, twist, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slarrc "BLAS_FUNC(slarrc)"(char *jobt, int *n, s *vl, s *vu, s *d, s *e, s *pivmin, int *eigcnt, int *lcnt, int *rcnt, int *info) nogil
cdef void slarrc(char *jobt, int *n, s *vl, s *vu, s *d, s *e, s *pivmin, int *eigcnt, int *lcnt, int *rcnt, int *info) noexcept nogil:
    
    _fortran_slarrc(jobt, n, vl, vu, d, e, pivmin, eigcnt, lcnt, rcnt, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slarrd "BLAS_FUNC(slarrd)"(char *range, char *order, int *n, s *vl, s *vu, int *il, int *iu, s *gers, s *reltol, s *d, s *e, s *e2, s *pivmin, int *nsplit, int *isplit, int *m, s *w, s *werr, s *wl, s *wu, int *iblock, int *indexw, s *work, int *iwork, int *info) nogil
cdef void slarrd(char *range, char *order, int *n, s *vl, s *vu, int *il, int *iu, s *gers, s *reltol, s *d, s *e, s *e2, s *pivmin, int *nsplit, int *isplit, int *m, s *w, s *werr, s *wl, s *wu, int *iblock, int *indexw, s *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_slarrd(range, order, n, vl, vu, il, iu, gers, reltol, d, e, e2, pivmin, nsplit, isplit, m, w, werr, wl, wu, iblock, indexw, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slarre "BLAS_FUNC(slarre)"(char *range, int *n, s *vl, s *vu, int *il, int *iu, s *d, s *e, s *e2, s *rtol1, s *rtol2, s *spltol, int *nsplit, int *isplit, int *m, s *w, s *werr, s *wgap, int *iblock, int *indexw, s *gers, s *pivmin, s *work, int *iwork, int *info) nogil
cdef void slarre(char *range, int *n, s *vl, s *vu, int *il, int *iu, s *d, s *e, s *e2, s *rtol1, s *rtol2, s *spltol, int *nsplit, int *isplit, int *m, s *w, s *werr, s *wgap, int *iblock, int *indexw, s *gers, s *pivmin, s *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_slarre(range, n, vl, vu, il, iu, d, e, e2, rtol1, rtol2, spltol, nsplit, isplit, m, w, werr, wgap, iblock, indexw, gers, pivmin, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slarrf "BLAS_FUNC(slarrf)"(int *n, s *d, s *l, s *ld, int *clstrt, int *clend, s *w, s *wgap, s *werr, s *spdiam, s *clgapl, s *clgapr, s *pivmin, s *sigma, s *dplus, s *lplus, s *work, int *info) nogil
cdef void slarrf(int *n, s *d, s *l, s *ld, int *clstrt, int *clend, s *w, s *wgap, s *werr, s *spdiam, s *clgapl, s *clgapr, s *pivmin, s *sigma, s *dplus, s *lplus, s *work, int *info) noexcept nogil:
    
    _fortran_slarrf(n, d, l, ld, clstrt, clend, w, wgap, werr, spdiam, clgapl, clgapr, pivmin, sigma, dplus, lplus, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slarrj "BLAS_FUNC(slarrj)"(int *n, s *d, s *e2, int *ifirst, int *ilast, s *rtol, int *offset, s *w, s *werr, s *work, int *iwork, s *pivmin, s *spdiam, int *info) nogil
cdef void slarrj(int *n, s *d, s *e2, int *ifirst, int *ilast, s *rtol, int *offset, s *w, s *werr, s *work, int *iwork, s *pivmin, s *spdiam, int *info) noexcept nogil:
    
    _fortran_slarrj(n, d, e2, ifirst, ilast, rtol, offset, w, werr, work, iwork, pivmin, spdiam, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slarrk "BLAS_FUNC(slarrk)"(int *n, int *iw, s *gl, s *gu, s *d, s *e2, s *pivmin, s *reltol, s *w, s *werr, int *info) nogil
cdef void slarrk(int *n, int *iw, s *gl, s *gu, s *d, s *e2, s *pivmin, s *reltol, s *w, s *werr, int *info) noexcept nogil:
    
    _fortran_slarrk(n, iw, gl, gu, d, e2, pivmin, reltol, w, werr, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slarrr "BLAS_FUNC(slarrr)"(int *n, s *d, s *e, int *info) nogil
cdef void slarrr(int *n, s *d, s *e, int *info) noexcept nogil:
    
    _fortran_slarrr(n, d, e, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slarrv "BLAS_FUNC(slarrv)"(int *n, s *vl, s *vu, s *d, s *l, s *pivmin, int *isplit, int *m, int *dol, int *dou, s *minrgp, s *rtol1, s *rtol2, s *w, s *werr, s *wgap, int *iblock, int *indexw, s *gers, s *z, int *ldz, int *isuppz, s *work, int *iwork, int *info) nogil
cdef void slarrv(int *n, s *vl, s *vu, s *d, s *l, s *pivmin, int *isplit, int *m, int *dol, int *dou, s *minrgp, s *rtol1, s *rtol2, s *w, s *werr, s *wgap, int *iblock, int *indexw, s *gers, s *z, int *ldz, int *isuppz, s *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_slarrv(n, vl, vu, d, l, pivmin, isplit, m, dol, dou, minrgp, rtol1, rtol2, w, werr, wgap, iblock, indexw, gers, z, ldz, isuppz, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slartg "BLAS_FUNC(slartg)"(s *f, s *g, s *cs, s *sn, s *r) nogil
cdef void slartg(s *f, s *g, s *cs, s *sn, s *r) noexcept nogil:
    
    _fortran_slartg(f, g, cs, sn, r)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slartgp "BLAS_FUNC(slartgp)"(s *f, s *g, s *cs, s *sn, s *r) nogil
cdef void slartgp(s *f, s *g, s *cs, s *sn, s *r) noexcept nogil:
    
    _fortran_slartgp(f, g, cs, sn, r)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slartgs "BLAS_FUNC(slartgs)"(s *x, s *y, s *sigma, s *cs, s *sn) nogil
cdef void slartgs(s *x, s *y, s *sigma, s *cs, s *sn) noexcept nogil:
    
    _fortran_slartgs(x, y, sigma, cs, sn)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slartv "BLAS_FUNC(slartv)"(int *n, s *x, int *incx, s *y, int *incy, s *c, s *s, int *incc) nogil
cdef void slartv(int *n, s *x, int *incx, s *y, int *incy, s *c, s *s, int *incc) noexcept nogil:
    
    _fortran_slartv(n, x, incx, y, incy, c, s, incc)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slaruv "BLAS_FUNC(slaruv)"(int *iseed, int *n, s *x) nogil
cdef void slaruv(int *iseed, int *n, s *x) noexcept nogil:
    
    _fortran_slaruv(iseed, n, x)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slarz "BLAS_FUNC(slarz)"(char *side, int *m, int *n, int *l, s *v, int *incv, s *tau, s *c, int *ldc, s *work) nogil
cdef void slarz(char *side, int *m, int *n, int *l, s *v, int *incv, s *tau, s *c, int *ldc, s *work) noexcept nogil:
    
    _fortran_slarz(side, m, n, l, v, incv, tau, c, ldc, work)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slarzb "BLAS_FUNC(slarzb)"(char *side, char *trans, char *direct, char *storev, int *m, int *n, int *k, int *l, s *v, int *ldv, s *t, int *ldt, s *c, int *ldc, s *work, int *ldwork) nogil
cdef void slarzb(char *side, char *trans, char *direct, char *storev, int *m, int *n, int *k, int *l, s *v, int *ldv, s *t, int *ldt, s *c, int *ldc, s *work, int *ldwork) noexcept nogil:
    
    _fortran_slarzb(side, trans, direct, storev, m, n, k, l, v, ldv, t, ldt, c, ldc, work, ldwork)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slarzt "BLAS_FUNC(slarzt)"(char *direct, char *storev, int *n, int *k, s *v, int *ldv, s *tau, s *t, int *ldt) nogil
cdef void slarzt(char *direct, char *storev, int *n, int *k, s *v, int *ldv, s *tau, s *t, int *ldt) noexcept nogil:
    
    _fortran_slarzt(direct, storev, n, k, v, ldv, tau, t, ldt)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slas2 "BLAS_FUNC(slas2)"(s *f, s *g, s *h, s *ssmin, s *ssmax) nogil
cdef void slas2(s *f, s *g, s *h, s *ssmin, s *ssmax) noexcept nogil:
    
    _fortran_slas2(f, g, h, ssmin, ssmax)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slascl "BLAS_FUNC(slascl)"(char *type_bn, int *kl, int *ku, s *cfrom, s *cto, int *m, int *n, s *a, int *lda, int *info) nogil
cdef void slascl(char *type_bn, int *kl, int *ku, s *cfrom, s *cto, int *m, int *n, s *a, int *lda, int *info) noexcept nogil:
    
    _fortran_slascl(type_bn, kl, ku, cfrom, cto, m, n, a, lda, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slasd0 "BLAS_FUNC(slasd0)"(int *n, int *sqre, s *d, s *e, s *u, int *ldu, s *vt, int *ldvt, int *smlsiz, int *iwork, s *work, int *info) nogil
cdef void slasd0(int *n, int *sqre, s *d, s *e, s *u, int *ldu, s *vt, int *ldvt, int *smlsiz, int *iwork, s *work, int *info) noexcept nogil:
    
    _fortran_slasd0(n, sqre, d, e, u, ldu, vt, ldvt, smlsiz, iwork, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slasd1 "BLAS_FUNC(slasd1)"(int *nl, int *nr, int *sqre, s *d, s *alpha, s *beta, s *u, int *ldu, s *vt, int *ldvt, int *idxq, int *iwork, s *work, int *info) nogil
cdef void slasd1(int *nl, int *nr, int *sqre, s *d, s *alpha, s *beta, s *u, int *ldu, s *vt, int *ldvt, int *idxq, int *iwork, s *work, int *info) noexcept nogil:
    
    _fortran_slasd1(nl, nr, sqre, d, alpha, beta, u, ldu, vt, ldvt, idxq, iwork, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slasd2 "BLAS_FUNC(slasd2)"(int *nl, int *nr, int *sqre, int *k, s *d, s *z, s *alpha, s *beta, s *u, int *ldu, s *vt, int *ldvt, s *dsigma, s *u2, int *ldu2, s *vt2, int *ldvt2, int *idxp, int *idx, int *idxc, int *idxq, int *coltyp, int *info) nogil
cdef void slasd2(int *nl, int *nr, int *sqre, int *k, s *d, s *z, s *alpha, s *beta, s *u, int *ldu, s *vt, int *ldvt, s *dsigma, s *u2, int *ldu2, s *vt2, int *ldvt2, int *idxp, int *idx, int *idxc, int *idxq, int *coltyp, int *info) noexcept nogil:
    
    _fortran_slasd2(nl, nr, sqre, k, d, z, alpha, beta, u, ldu, vt, ldvt, dsigma, u2, ldu2, vt2, ldvt2, idxp, idx, idxc, idxq, coltyp, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slasd3 "BLAS_FUNC(slasd3)"(int *nl, int *nr, int *sqre, int *k, s *d, s *q, int *ldq, s *dsigma, s *u, int *ldu, s *u2, int *ldu2, s *vt, int *ldvt, s *vt2, int *ldvt2, int *idxc, int *ctot, s *z, int *info) nogil
cdef void slasd3(int *nl, int *nr, int *sqre, int *k, s *d, s *q, int *ldq, s *dsigma, s *u, int *ldu, s *u2, int *ldu2, s *vt, int *ldvt, s *vt2, int *ldvt2, int *idxc, int *ctot, s *z, int *info) noexcept nogil:
    
    _fortran_slasd3(nl, nr, sqre, k, d, q, ldq, dsigma, u, ldu, u2, ldu2, vt, ldvt, vt2, ldvt2, idxc, ctot, z, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slasd4 "BLAS_FUNC(slasd4)"(int *n, int *i, s *d, s *z, s *delta, s *rho, s *sigma, s *work, int *info) nogil
cdef void slasd4(int *n, int *i, s *d, s *z, s *delta, s *rho, s *sigma, s *work, int *info) noexcept nogil:
    
    _fortran_slasd4(n, i, d, z, delta, rho, sigma, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slasd5 "BLAS_FUNC(slasd5)"(int *i, s *d, s *z, s *delta, s *rho, s *dsigma, s *work) nogil
cdef void slasd5(int *i, s *d, s *z, s *delta, s *rho, s *dsigma, s *work) noexcept nogil:
    
    _fortran_slasd5(i, d, z, delta, rho, dsigma, work)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slasd6 "BLAS_FUNC(slasd6)"(int *icompq, int *nl, int *nr, int *sqre, s *d, s *vf, s *vl, s *alpha, s *beta, int *idxq, int *perm, int *givptr, int *givcol, int *ldgcol, s *givnum, int *ldgnum, s *poles, s *difl, s *difr, s *z, int *k, s *c, s *s, s *work, int *iwork, int *info) nogil
cdef void slasd6(int *icompq, int *nl, int *nr, int *sqre, s *d, s *vf, s *vl, s *alpha, s *beta, int *idxq, int *perm, int *givptr, int *givcol, int *ldgcol, s *givnum, int *ldgnum, s *poles, s *difl, s *difr, s *z, int *k, s *c, s *s, s *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_slasd6(icompq, nl, nr, sqre, d, vf, vl, alpha, beta, idxq, perm, givptr, givcol, ldgcol, givnum, ldgnum, poles, difl, difr, z, k, c, s, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slasd7 "BLAS_FUNC(slasd7)"(int *icompq, int *nl, int *nr, int *sqre, int *k, s *d, s *z, s *zw, s *vf, s *vfw, s *vl, s *vlw, s *alpha, s *beta, s *dsigma, int *idx, int *idxp, int *idxq, int *perm, int *givptr, int *givcol, int *ldgcol, s *givnum, int *ldgnum, s *c, s *s, int *info) nogil
cdef void slasd7(int *icompq, int *nl, int *nr, int *sqre, int *k, s *d, s *z, s *zw, s *vf, s *vfw, s *vl, s *vlw, s *alpha, s *beta, s *dsigma, int *idx, int *idxp, int *idxq, int *perm, int *givptr, int *givcol, int *ldgcol, s *givnum, int *ldgnum, s *c, s *s, int *info) noexcept nogil:
    
    _fortran_slasd7(icompq, nl, nr, sqre, k, d, z, zw, vf, vfw, vl, vlw, alpha, beta, dsigma, idx, idxp, idxq, perm, givptr, givcol, ldgcol, givnum, ldgnum, c, s, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slasd8 "BLAS_FUNC(slasd8)"(int *icompq, int *k, s *d, s *z, s *vf, s *vl, s *difl, s *difr, int *lddifr, s *dsigma, s *work, int *info) nogil
cdef void slasd8(int *icompq, int *k, s *d, s *z, s *vf, s *vl, s *difl, s *difr, int *lddifr, s *dsigma, s *work, int *info) noexcept nogil:
    
    _fortran_slasd8(icompq, k, d, z, vf, vl, difl, difr, lddifr, dsigma, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slasda "BLAS_FUNC(slasda)"(int *icompq, int *smlsiz, int *n, int *sqre, s *d, s *e, s *u, int *ldu, s *vt, int *k, s *difl, s *difr, s *z, s *poles, int *givptr, int *givcol, int *ldgcol, int *perm, s *givnum, s *c, s *s, s *work, int *iwork, int *info) nogil
cdef void slasda(int *icompq, int *smlsiz, int *n, int *sqre, s *d, s *e, s *u, int *ldu, s *vt, int *k, s *difl, s *difr, s *z, s *poles, int *givptr, int *givcol, int *ldgcol, int *perm, s *givnum, s *c, s *s, s *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_slasda(icompq, smlsiz, n, sqre, d, e, u, ldu, vt, k, difl, difr, z, poles, givptr, givcol, ldgcol, perm, givnum, c, s, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slasdq "BLAS_FUNC(slasdq)"(char *uplo, int *sqre, int *n, int *ncvt, int *nru, int *ncc, s *d, s *e, s *vt, int *ldvt, s *u, int *ldu, s *c, int *ldc, s *work, int *info) nogil
cdef void slasdq(char *uplo, int *sqre, int *n, int *ncvt, int *nru, int *ncc, s *d, s *e, s *vt, int *ldvt, s *u, int *ldu, s *c, int *ldc, s *work, int *info) noexcept nogil:
    
    _fortran_slasdq(uplo, sqre, n, ncvt, nru, ncc, d, e, vt, ldvt, u, ldu, c, ldc, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slasdt "BLAS_FUNC(slasdt)"(int *n, int *lvl, int *nd, int *inode, int *ndiml, int *ndimr, int *msub) nogil
cdef void slasdt(int *n, int *lvl, int *nd, int *inode, int *ndiml, int *ndimr, int *msub) noexcept nogil:
    
    _fortran_slasdt(n, lvl, nd, inode, ndiml, ndimr, msub)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slaset "BLAS_FUNC(slaset)"(char *uplo, int *m, int *n, s *alpha, s *beta, s *a, int *lda) nogil
cdef void slaset(char *uplo, int *m, int *n, s *alpha, s *beta, s *a, int *lda) noexcept nogil:
    
    _fortran_slaset(uplo, m, n, alpha, beta, a, lda)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slasq1 "BLAS_FUNC(slasq1)"(int *n, s *d, s *e, s *work, int *info) nogil
cdef void slasq1(int *n, s *d, s *e, s *work, int *info) noexcept nogil:
    
    _fortran_slasq1(n, d, e, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slasq2 "BLAS_FUNC(slasq2)"(int *n, s *z, int *info) nogil
cdef void slasq2(int *n, s *z, int *info) noexcept nogil:
    
    _fortran_slasq2(n, z, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slasq3 "BLAS_FUNC(slasq3)"(int *i0, int *n0, s *z, int *pp, s *dmin, s *sigma, s *desig, s *qmax, int *nfail, int *iter, int *ndiv, bint *ieee, int *ttype, s *dmin1, s *dmin2, s *dn, s *dn1, s *dn2, s *g, s *tau) nogil
cdef void slasq3(int *i0, int *n0, s *z, int *pp, s *dmin, s *sigma, s *desig, s *qmax, int *nfail, int *iter, int *ndiv, bint *ieee, int *ttype, s *dmin1, s *dmin2, s *dn, s *dn1, s *dn2, s *g, s *tau) noexcept nogil:
    
    _fortran_slasq3(i0, n0, z, pp, dmin, sigma, desig, qmax, nfail, iter, ndiv, ieee, ttype, dmin1, dmin2, dn, dn1, dn2, g, tau)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slasq4 "BLAS_FUNC(slasq4)"(int *i0, int *n0, s *z, int *pp, int *n0in, s *dmin, s *dmin1, s *dmin2, s *dn, s *dn1, s *dn2, s *tau, int *ttype, s *g) nogil
cdef void slasq4(int *i0, int *n0, s *z, int *pp, int *n0in, s *dmin, s *dmin1, s *dmin2, s *dn, s *dn1, s *dn2, s *tau, int *ttype, s *g) noexcept nogil:
    
    _fortran_slasq4(i0, n0, z, pp, n0in, dmin, dmin1, dmin2, dn, dn1, dn2, tau, ttype, g)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slasq6 "BLAS_FUNC(slasq6)"(int *i0, int *n0, s *z, int *pp, s *dmin, s *dmin1, s *dmin2, s *dn, s *dnm1, s *dnm2) nogil
cdef void slasq6(int *i0, int *n0, s *z, int *pp, s *dmin, s *dmin1, s *dmin2, s *dn, s *dnm1, s *dnm2) noexcept nogil:
    
    _fortran_slasq6(i0, n0, z, pp, dmin, dmin1, dmin2, dn, dnm1, dnm2)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slasr "BLAS_FUNC(slasr)"(char *side, char *pivot, char *direct, int *m, int *n, s *c, s *s, s *a, int *lda) nogil
cdef void slasr(char *side, char *pivot, char *direct, int *m, int *n, s *c, s *s, s *a, int *lda) noexcept nogil:
    
    _fortran_slasr(side, pivot, direct, m, n, c, s, a, lda)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slasrt "BLAS_FUNC(slasrt)"(char *id, int *n, s *d, int *info) nogil
cdef void slasrt(char *id, int *n, s *d, int *info) noexcept nogil:
    
    _fortran_slasrt(id, n, d, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slassq "BLAS_FUNC(slassq)"(int *n, s *x, int *incx, s *scale, s *sumsq) nogil
cdef void slassq(int *n, s *x, int *incx, s *scale, s *sumsq) noexcept nogil:
    
    _fortran_slassq(n, x, incx, scale, sumsq)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slasv2 "BLAS_FUNC(slasv2)"(s *f, s *g, s *h, s *ssmin, s *ssmax, s *snr, s *csr, s *snl, s *csl) nogil
cdef void slasv2(s *f, s *g, s *h, s *ssmin, s *ssmax, s *snr, s *csr, s *snl, s *csl) noexcept nogil:
    
    _fortran_slasv2(f, g, h, ssmin, ssmax, snr, csr, snl, csl)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slaswp "BLAS_FUNC(slaswp)"(int *n, s *a, int *lda, int *k1, int *k2, int *ipiv, int *incx) nogil
cdef void slaswp(int *n, s *a, int *lda, int *k1, int *k2, int *ipiv, int *incx) noexcept nogil:
    
    _fortran_slaswp(n, a, lda, k1, k2, ipiv, incx)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slasy2 "BLAS_FUNC(slasy2)"(bint *ltranl, bint *ltranr, int *isgn, int *n1, int *n2, s *tl, int *ldtl, s *tr, int *ldtr, s *b, int *ldb, s *scale, s *x, int *ldx, s *xnorm, int *info) nogil
cdef void slasy2(bint *ltranl, bint *ltranr, int *isgn, int *n1, int *n2, s *tl, int *ldtl, s *tr, int *ldtr, s *b, int *ldb, s *scale, s *x, int *ldx, s *xnorm, int *info) noexcept nogil:
    
    _fortran_slasy2(ltranl, ltranr, isgn, n1, n2, tl, ldtl, tr, ldtr, b, ldb, scale, x, ldx, xnorm, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slasyf "BLAS_FUNC(slasyf)"(char *uplo, int *n, int *nb, int *kb, s *a, int *lda, int *ipiv, s *w, int *ldw, int *info) nogil
cdef void slasyf(char *uplo, int *n, int *nb, int *kb, s *a, int *lda, int *ipiv, s *w, int *ldw, int *info) noexcept nogil:
    
    _fortran_slasyf(uplo, n, nb, kb, a, lda, ipiv, w, ldw, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slatbs "BLAS_FUNC(slatbs)"(char *uplo, char *trans, char *diag, char *normin, int *n, int *kd, s *ab, int *ldab, s *x, s *scale, s *cnorm, int *info) nogil
cdef void slatbs(char *uplo, char *trans, char *diag, char *normin, int *n, int *kd, s *ab, int *ldab, s *x, s *scale, s *cnorm, int *info) noexcept nogil:
    
    _fortran_slatbs(uplo, trans, diag, normin, n, kd, ab, ldab, x, scale, cnorm, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slatdf "BLAS_FUNC(slatdf)"(int *ijob, int *n, s *z, int *ldz, s *rhs, s *rdsum, s *rdscal, int *ipiv, int *jpiv) nogil
cdef void slatdf(int *ijob, int *n, s *z, int *ldz, s *rhs, s *rdsum, s *rdscal, int *ipiv, int *jpiv) noexcept nogil:
    
    _fortran_slatdf(ijob, n, z, ldz, rhs, rdsum, rdscal, ipiv, jpiv)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slatps "BLAS_FUNC(slatps)"(char *uplo, char *trans, char *diag, char *normin, int *n, s *ap, s *x, s *scale, s *cnorm, int *info) nogil
cdef void slatps(char *uplo, char *trans, char *diag, char *normin, int *n, s *ap, s *x, s *scale, s *cnorm, int *info) noexcept nogil:
    
    _fortran_slatps(uplo, trans, diag, normin, n, ap, x, scale, cnorm, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slatrd "BLAS_FUNC(slatrd)"(char *uplo, int *n, int *nb, s *a, int *lda, s *e, s *tau, s *w, int *ldw) nogil
cdef void slatrd(char *uplo, int *n, int *nb, s *a, int *lda, s *e, s *tau, s *w, int *ldw) noexcept nogil:
    
    _fortran_slatrd(uplo, n, nb, a, lda, e, tau, w, ldw)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slatrs "BLAS_FUNC(slatrs)"(char *uplo, char *trans, char *diag, char *normin, int *n, s *a, int *lda, s *x, s *scale, s *cnorm, int *info) nogil
cdef void slatrs(char *uplo, char *trans, char *diag, char *normin, int *n, s *a, int *lda, s *x, s *scale, s *cnorm, int *info) noexcept nogil:
    
    _fortran_slatrs(uplo, trans, diag, normin, n, a, lda, x, scale, cnorm, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slatrz "BLAS_FUNC(slatrz)"(int *m, int *n, int *l, s *a, int *lda, s *tau, s *work) nogil
cdef void slatrz(int *m, int *n, int *l, s *a, int *lda, s *tau, s *work) noexcept nogil:
    
    _fortran_slatrz(m, n, l, a, lda, tau, work)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slauu2 "BLAS_FUNC(slauu2)"(char *uplo, int *n, s *a, int *lda, int *info) nogil
cdef void slauu2(char *uplo, int *n, s *a, int *lda, int *info) noexcept nogil:
    
    _fortran_slauu2(uplo, n, a, lda, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_slauum "BLAS_FUNC(slauum)"(char *uplo, int *n, s *a, int *lda, int *info) nogil
cdef void slauum(char *uplo, int *n, s *a, int *lda, int *info) noexcept nogil:
    
    _fortran_slauum(uplo, n, a, lda, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sopgtr "BLAS_FUNC(sopgtr)"(char *uplo, int *n, s *ap, s *tau, s *q, int *ldq, s *work, int *info) nogil
cdef void sopgtr(char *uplo, int *n, s *ap, s *tau, s *q, int *ldq, s *work, int *info) noexcept nogil:
    
    _fortran_sopgtr(uplo, n, ap, tau, q, ldq, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sopmtr "BLAS_FUNC(sopmtr)"(char *side, char *uplo, char *trans, int *m, int *n, s *ap, s *tau, s *c, int *ldc, s *work, int *info) nogil
cdef void sopmtr(char *side, char *uplo, char *trans, int *m, int *n, s *ap, s *tau, s *c, int *ldc, s *work, int *info) noexcept nogil:
    
    _fortran_sopmtr(side, uplo, trans, m, n, ap, tau, c, ldc, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sorbdb "BLAS_FUNC(sorbdb)"(char *trans, char *signs, int *m, int *p, int *q, s *x11, int *ldx11, s *x12, int *ldx12, s *x21, int *ldx21, s *x22, int *ldx22, s *theta, s *phi, s *taup1, s *taup2, s *tauq1, s *tauq2, s *work, int *lwork, int *info) nogil
cdef void sorbdb(char *trans, char *signs, int *m, int *p, int *q, s *x11, int *ldx11, s *x12, int *ldx12, s *x21, int *ldx21, s *x22, int *ldx22, s *theta, s *phi, s *taup1, s *taup2, s *tauq1, s *tauq2, s *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_sorbdb(trans, signs, m, p, q, x11, ldx11, x12, ldx12, x21, ldx21, x22, ldx22, theta, phi, taup1, taup2, tauq1, tauq2, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sorcsd "BLAS_FUNC(sorcsd)"(char *jobu1, char *jobu2, char *jobv1t, char *jobv2t, char *trans, char *signs, int *m, int *p, int *q, s *x11, int *ldx11, s *x12, int *ldx12, s *x21, int *ldx21, s *x22, int *ldx22, s *theta, s *u1, int *ldu1, s *u2, int *ldu2, s *v1t, int *ldv1t, s *v2t, int *ldv2t, s *work, int *lwork, int *iwork, int *info) nogil
cdef void sorcsd(char *jobu1, char *jobu2, char *jobv1t, char *jobv2t, char *trans, char *signs, int *m, int *p, int *q, s *x11, int *ldx11, s *x12, int *ldx12, s *x21, int *ldx21, s *x22, int *ldx22, s *theta, s *u1, int *ldu1, s *u2, int *ldu2, s *v1t, int *ldv1t, s *v2t, int *ldv2t, s *work, int *lwork, int *iwork, int *info) noexcept nogil:
    
    _fortran_sorcsd(jobu1, jobu2, jobv1t, jobv2t, trans, signs, m, p, q, x11, ldx11, x12, ldx12, x21, ldx21, x22, ldx22, theta, u1, ldu1, u2, ldu2, v1t, ldv1t, v2t, ldv2t, work, lwork, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sorg2l "BLAS_FUNC(sorg2l)"(int *m, int *n, int *k, s *a, int *lda, s *tau, s *work, int *info) nogil
cdef void sorg2l(int *m, int *n, int *k, s *a, int *lda, s *tau, s *work, int *info) noexcept nogil:
    
    _fortran_sorg2l(m, n, k, a, lda, tau, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sorg2r "BLAS_FUNC(sorg2r)"(int *m, int *n, int *k, s *a, int *lda, s *tau, s *work, int *info) nogil
cdef void sorg2r(int *m, int *n, int *k, s *a, int *lda, s *tau, s *work, int *info) noexcept nogil:
    
    _fortran_sorg2r(m, n, k, a, lda, tau, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sorgbr "BLAS_FUNC(sorgbr)"(char *vect, int *m, int *n, int *k, s *a, int *lda, s *tau, s *work, int *lwork, int *info) nogil
cdef void sorgbr(char *vect, int *m, int *n, int *k, s *a, int *lda, s *tau, s *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_sorgbr(vect, m, n, k, a, lda, tau, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sorghr "BLAS_FUNC(sorghr)"(int *n, int *ilo, int *ihi, s *a, int *lda, s *tau, s *work, int *lwork, int *info) nogil
cdef void sorghr(int *n, int *ilo, int *ihi, s *a, int *lda, s *tau, s *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_sorghr(n, ilo, ihi, a, lda, tau, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sorgl2 "BLAS_FUNC(sorgl2)"(int *m, int *n, int *k, s *a, int *lda, s *tau, s *work, int *info) nogil
cdef void sorgl2(int *m, int *n, int *k, s *a, int *lda, s *tau, s *work, int *info) noexcept nogil:
    
    _fortran_sorgl2(m, n, k, a, lda, tau, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sorglq "BLAS_FUNC(sorglq)"(int *m, int *n, int *k, s *a, int *lda, s *tau, s *work, int *lwork, int *info) nogil
cdef void sorglq(int *m, int *n, int *k, s *a, int *lda, s *tau, s *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_sorglq(m, n, k, a, lda, tau, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sorgql "BLAS_FUNC(sorgql)"(int *m, int *n, int *k, s *a, int *lda, s *tau, s *work, int *lwork, int *info) nogil
cdef void sorgql(int *m, int *n, int *k, s *a, int *lda, s *tau, s *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_sorgql(m, n, k, a, lda, tau, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sorgqr "BLAS_FUNC(sorgqr)"(int *m, int *n, int *k, s *a, int *lda, s *tau, s *work, int *lwork, int *info) nogil
cdef void sorgqr(int *m, int *n, int *k, s *a, int *lda, s *tau, s *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_sorgqr(m, n, k, a, lda, tau, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sorgr2 "BLAS_FUNC(sorgr2)"(int *m, int *n, int *k, s *a, int *lda, s *tau, s *work, int *info) nogil
cdef void sorgr2(int *m, int *n, int *k, s *a, int *lda, s *tau, s *work, int *info) noexcept nogil:
    
    _fortran_sorgr2(m, n, k, a, lda, tau, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sorgrq "BLAS_FUNC(sorgrq)"(int *m, int *n, int *k, s *a, int *lda, s *tau, s *work, int *lwork, int *info) nogil
cdef void sorgrq(int *m, int *n, int *k, s *a, int *lda, s *tau, s *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_sorgrq(m, n, k, a, lda, tau, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sorgtr "BLAS_FUNC(sorgtr)"(char *uplo, int *n, s *a, int *lda, s *tau, s *work, int *lwork, int *info) nogil
cdef void sorgtr(char *uplo, int *n, s *a, int *lda, s *tau, s *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_sorgtr(uplo, n, a, lda, tau, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sorm2l "BLAS_FUNC(sorm2l)"(char *side, char *trans, int *m, int *n, int *k, s *a, int *lda, s *tau, s *c, int *ldc, s *work, int *info) nogil
cdef void sorm2l(char *side, char *trans, int *m, int *n, int *k, s *a, int *lda, s *tau, s *c, int *ldc, s *work, int *info) noexcept nogil:
    
    _fortran_sorm2l(side, trans, m, n, k, a, lda, tau, c, ldc, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sorm2r "BLAS_FUNC(sorm2r)"(char *side, char *trans, int *m, int *n, int *k, s *a, int *lda, s *tau, s *c, int *ldc, s *work, int *info) nogil
cdef void sorm2r(char *side, char *trans, int *m, int *n, int *k, s *a, int *lda, s *tau, s *c, int *ldc, s *work, int *info) noexcept nogil:
    
    _fortran_sorm2r(side, trans, m, n, k, a, lda, tau, c, ldc, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sormbr "BLAS_FUNC(sormbr)"(char *vect, char *side, char *trans, int *m, int *n, int *k, s *a, int *lda, s *tau, s *c, int *ldc, s *work, int *lwork, int *info) nogil
cdef void sormbr(char *vect, char *side, char *trans, int *m, int *n, int *k, s *a, int *lda, s *tau, s *c, int *ldc, s *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_sormbr(vect, side, trans, m, n, k, a, lda, tau, c, ldc, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sormhr "BLAS_FUNC(sormhr)"(char *side, char *trans, int *m, int *n, int *ilo, int *ihi, s *a, int *lda, s *tau, s *c, int *ldc, s *work, int *lwork, int *info) nogil
cdef void sormhr(char *side, char *trans, int *m, int *n, int *ilo, int *ihi, s *a, int *lda, s *tau, s *c, int *ldc, s *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_sormhr(side, trans, m, n, ilo, ihi, a, lda, tau, c, ldc, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sorml2 "BLAS_FUNC(sorml2)"(char *side, char *trans, int *m, int *n, int *k, s *a, int *lda, s *tau, s *c, int *ldc, s *work, int *info) nogil
cdef void sorml2(char *side, char *trans, int *m, int *n, int *k, s *a, int *lda, s *tau, s *c, int *ldc, s *work, int *info) noexcept nogil:
    
    _fortran_sorml2(side, trans, m, n, k, a, lda, tau, c, ldc, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sormlq "BLAS_FUNC(sormlq)"(char *side, char *trans, int *m, int *n, int *k, s *a, int *lda, s *tau, s *c, int *ldc, s *work, int *lwork, int *info) nogil
cdef void sormlq(char *side, char *trans, int *m, int *n, int *k, s *a, int *lda, s *tau, s *c, int *ldc, s *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_sormlq(side, trans, m, n, k, a, lda, tau, c, ldc, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sormql "BLAS_FUNC(sormql)"(char *side, char *trans, int *m, int *n, int *k, s *a, int *lda, s *tau, s *c, int *ldc, s *work, int *lwork, int *info) nogil
cdef void sormql(char *side, char *trans, int *m, int *n, int *k, s *a, int *lda, s *tau, s *c, int *ldc, s *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_sormql(side, trans, m, n, k, a, lda, tau, c, ldc, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sormqr "BLAS_FUNC(sormqr)"(char *side, char *trans, int *m, int *n, int *k, s *a, int *lda, s *tau, s *c, int *ldc, s *work, int *lwork, int *info) nogil
cdef void sormqr(char *side, char *trans, int *m, int *n, int *k, s *a, int *lda, s *tau, s *c, int *ldc, s *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_sormqr(side, trans, m, n, k, a, lda, tau, c, ldc, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sormr2 "BLAS_FUNC(sormr2)"(char *side, char *trans, int *m, int *n, int *k, s *a, int *lda, s *tau, s *c, int *ldc, s *work, int *info) nogil
cdef void sormr2(char *side, char *trans, int *m, int *n, int *k, s *a, int *lda, s *tau, s *c, int *ldc, s *work, int *info) noexcept nogil:
    
    _fortran_sormr2(side, trans, m, n, k, a, lda, tau, c, ldc, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sormr3 "BLAS_FUNC(sormr3)"(char *side, char *trans, int *m, int *n, int *k, int *l, s *a, int *lda, s *tau, s *c, int *ldc, s *work, int *info) nogil
cdef void sormr3(char *side, char *trans, int *m, int *n, int *k, int *l, s *a, int *lda, s *tau, s *c, int *ldc, s *work, int *info) noexcept nogil:
    
    _fortran_sormr3(side, trans, m, n, k, l, a, lda, tau, c, ldc, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sormrq "BLAS_FUNC(sormrq)"(char *side, char *trans, int *m, int *n, int *k, s *a, int *lda, s *tau, s *c, int *ldc, s *work, int *lwork, int *info) nogil
cdef void sormrq(char *side, char *trans, int *m, int *n, int *k, s *a, int *lda, s *tau, s *c, int *ldc, s *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_sormrq(side, trans, m, n, k, a, lda, tau, c, ldc, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sormrz "BLAS_FUNC(sormrz)"(char *side, char *trans, int *m, int *n, int *k, int *l, s *a, int *lda, s *tau, s *c, int *ldc, s *work, int *lwork, int *info) nogil
cdef void sormrz(char *side, char *trans, int *m, int *n, int *k, int *l, s *a, int *lda, s *tau, s *c, int *ldc, s *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_sormrz(side, trans, m, n, k, l, a, lda, tau, c, ldc, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sormtr "BLAS_FUNC(sormtr)"(char *side, char *uplo, char *trans, int *m, int *n, s *a, int *lda, s *tau, s *c, int *ldc, s *work, int *lwork, int *info) nogil
cdef void sormtr(char *side, char *uplo, char *trans, int *m, int *n, s *a, int *lda, s *tau, s *c, int *ldc, s *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_sormtr(side, uplo, trans, m, n, a, lda, tau, c, ldc, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_spbcon "BLAS_FUNC(spbcon)"(char *uplo, int *n, int *kd, s *ab, int *ldab, s *anorm, s *rcond, s *work, int *iwork, int *info) nogil
cdef void spbcon(char *uplo, int *n, int *kd, s *ab, int *ldab, s *anorm, s *rcond, s *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_spbcon(uplo, n, kd, ab, ldab, anorm, rcond, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_spbequ "BLAS_FUNC(spbequ)"(char *uplo, int *n, int *kd, s *ab, int *ldab, s *s, s *scond, s *amax, int *info) nogil
cdef void spbequ(char *uplo, int *n, int *kd, s *ab, int *ldab, s *s, s *scond, s *amax, int *info) noexcept nogil:
    
    _fortran_spbequ(uplo, n, kd, ab, ldab, s, scond, amax, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_spbrfs "BLAS_FUNC(spbrfs)"(char *uplo, int *n, int *kd, int *nrhs, s *ab, int *ldab, s *afb, int *ldafb, s *b, int *ldb, s *x, int *ldx, s *ferr, s *berr, s *work, int *iwork, int *info) nogil
cdef void spbrfs(char *uplo, int *n, int *kd, int *nrhs, s *ab, int *ldab, s *afb, int *ldafb, s *b, int *ldb, s *x, int *ldx, s *ferr, s *berr, s *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_spbrfs(uplo, n, kd, nrhs, ab, ldab, afb, ldafb, b, ldb, x, ldx, ferr, berr, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_spbstf "BLAS_FUNC(spbstf)"(char *uplo, int *n, int *kd, s *ab, int *ldab, int *info) nogil
cdef void spbstf(char *uplo, int *n, int *kd, s *ab, int *ldab, int *info) noexcept nogil:
    
    _fortran_spbstf(uplo, n, kd, ab, ldab, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_spbsv "BLAS_FUNC(spbsv)"(char *uplo, int *n, int *kd, int *nrhs, s *ab, int *ldab, s *b, int *ldb, int *info) nogil
cdef void spbsv(char *uplo, int *n, int *kd, int *nrhs, s *ab, int *ldab, s *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_spbsv(uplo, n, kd, nrhs, ab, ldab, b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_spbsvx "BLAS_FUNC(spbsvx)"(char *fact, char *uplo, int *n, int *kd, int *nrhs, s *ab, int *ldab, s *afb, int *ldafb, char *equed, s *s, s *b, int *ldb, s *x, int *ldx, s *rcond, s *ferr, s *berr, s *work, int *iwork, int *info) nogil
cdef void spbsvx(char *fact, char *uplo, int *n, int *kd, int *nrhs, s *ab, int *ldab, s *afb, int *ldafb, char *equed, s *s, s *b, int *ldb, s *x, int *ldx, s *rcond, s *ferr, s *berr, s *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_spbsvx(fact, uplo, n, kd, nrhs, ab, ldab, afb, ldafb, equed, s, b, ldb, x, ldx, rcond, ferr, berr, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_spbtf2 "BLAS_FUNC(spbtf2)"(char *uplo, int *n, int *kd, s *ab, int *ldab, int *info) nogil
cdef void spbtf2(char *uplo, int *n, int *kd, s *ab, int *ldab, int *info) noexcept nogil:
    
    _fortran_spbtf2(uplo, n, kd, ab, ldab, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_spbtrf "BLAS_FUNC(spbtrf)"(char *uplo, int *n, int *kd, s *ab, int *ldab, int *info) nogil
cdef void spbtrf(char *uplo, int *n, int *kd, s *ab, int *ldab, int *info) noexcept nogil:
    
    _fortran_spbtrf(uplo, n, kd, ab, ldab, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_spbtrs "BLAS_FUNC(spbtrs)"(char *uplo, int *n, int *kd, int *nrhs, s *ab, int *ldab, s *b, int *ldb, int *info) nogil
cdef void spbtrs(char *uplo, int *n, int *kd, int *nrhs, s *ab, int *ldab, s *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_spbtrs(uplo, n, kd, nrhs, ab, ldab, b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_spftrf "BLAS_FUNC(spftrf)"(char *transr, char *uplo, int *n, s *a, int *info) nogil
cdef void spftrf(char *transr, char *uplo, int *n, s *a, int *info) noexcept nogil:
    
    _fortran_spftrf(transr, uplo, n, a, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_spftri "BLAS_FUNC(spftri)"(char *transr, char *uplo, int *n, s *a, int *info) nogil
cdef void spftri(char *transr, char *uplo, int *n, s *a, int *info) noexcept nogil:
    
    _fortran_spftri(transr, uplo, n, a, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_spftrs "BLAS_FUNC(spftrs)"(char *transr, char *uplo, int *n, int *nrhs, s *a, s *b, int *ldb, int *info) nogil
cdef void spftrs(char *transr, char *uplo, int *n, int *nrhs, s *a, s *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_spftrs(transr, uplo, n, nrhs, a, b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_spocon "BLAS_FUNC(spocon)"(char *uplo, int *n, s *a, int *lda, s *anorm, s *rcond, s *work, int *iwork, int *info) nogil
cdef void spocon(char *uplo, int *n, s *a, int *lda, s *anorm, s *rcond, s *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_spocon(uplo, n, a, lda, anorm, rcond, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_spoequ "BLAS_FUNC(spoequ)"(int *n, s *a, int *lda, s *s, s *scond, s *amax, int *info) nogil
cdef void spoequ(int *n, s *a, int *lda, s *s, s *scond, s *amax, int *info) noexcept nogil:
    
    _fortran_spoequ(n, a, lda, s, scond, amax, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_spoequb "BLAS_FUNC(spoequb)"(int *n, s *a, int *lda, s *s, s *scond, s *amax, int *info) nogil
cdef void spoequb(int *n, s *a, int *lda, s *s, s *scond, s *amax, int *info) noexcept nogil:
    
    _fortran_spoequb(n, a, lda, s, scond, amax, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sporfs "BLAS_FUNC(sporfs)"(char *uplo, int *n, int *nrhs, s *a, int *lda, s *af, int *ldaf, s *b, int *ldb, s *x, int *ldx, s *ferr, s *berr, s *work, int *iwork, int *info) nogil
cdef void sporfs(char *uplo, int *n, int *nrhs, s *a, int *lda, s *af, int *ldaf, s *b, int *ldb, s *x, int *ldx, s *ferr, s *berr, s *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_sporfs(uplo, n, nrhs, a, lda, af, ldaf, b, ldb, x, ldx, ferr, berr, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sposv "BLAS_FUNC(sposv)"(char *uplo, int *n, int *nrhs, s *a, int *lda, s *b, int *ldb, int *info) nogil
cdef void sposv(char *uplo, int *n, int *nrhs, s *a, int *lda, s *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_sposv(uplo, n, nrhs, a, lda, b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sposvx "BLAS_FUNC(sposvx)"(char *fact, char *uplo, int *n, int *nrhs, s *a, int *lda, s *af, int *ldaf, char *equed, s *s, s *b, int *ldb, s *x, int *ldx, s *rcond, s *ferr, s *berr, s *work, int *iwork, int *info) nogil
cdef void sposvx(char *fact, char *uplo, int *n, int *nrhs, s *a, int *lda, s *af, int *ldaf, char *equed, s *s, s *b, int *ldb, s *x, int *ldx, s *rcond, s *ferr, s *berr, s *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_sposvx(fact, uplo, n, nrhs, a, lda, af, ldaf, equed, s, b, ldb, x, ldx, rcond, ferr, berr, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_spotf2 "BLAS_FUNC(spotf2)"(char *uplo, int *n, s *a, int *lda, int *info) nogil
cdef void spotf2(char *uplo, int *n, s *a, int *lda, int *info) noexcept nogil:
    
    _fortran_spotf2(uplo, n, a, lda, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_spotrf "BLAS_FUNC(spotrf)"(char *uplo, int *n, s *a, int *lda, int *info) nogil
cdef void spotrf(char *uplo, int *n, s *a, int *lda, int *info) noexcept nogil:
    
    _fortran_spotrf(uplo, n, a, lda, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_spotri "BLAS_FUNC(spotri)"(char *uplo, int *n, s *a, int *lda, int *info) nogil
cdef void spotri(char *uplo, int *n, s *a, int *lda, int *info) noexcept nogil:
    
    _fortran_spotri(uplo, n, a, lda, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_spotrs "BLAS_FUNC(spotrs)"(char *uplo, int *n, int *nrhs, s *a, int *lda, s *b, int *ldb, int *info) nogil
cdef void spotrs(char *uplo, int *n, int *nrhs, s *a, int *lda, s *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_spotrs(uplo, n, nrhs, a, lda, b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sppcon "BLAS_FUNC(sppcon)"(char *uplo, int *n, s *ap, s *anorm, s *rcond, s *work, int *iwork, int *info) nogil
cdef void sppcon(char *uplo, int *n, s *ap, s *anorm, s *rcond, s *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_sppcon(uplo, n, ap, anorm, rcond, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sppequ "BLAS_FUNC(sppequ)"(char *uplo, int *n, s *ap, s *s, s *scond, s *amax, int *info) nogil
cdef void sppequ(char *uplo, int *n, s *ap, s *s, s *scond, s *amax, int *info) noexcept nogil:
    
    _fortran_sppequ(uplo, n, ap, s, scond, amax, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_spprfs "BLAS_FUNC(spprfs)"(char *uplo, int *n, int *nrhs, s *ap, s *afp, s *b, int *ldb, s *x, int *ldx, s *ferr, s *berr, s *work, int *iwork, int *info) nogil
cdef void spprfs(char *uplo, int *n, int *nrhs, s *ap, s *afp, s *b, int *ldb, s *x, int *ldx, s *ferr, s *berr, s *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_spprfs(uplo, n, nrhs, ap, afp, b, ldb, x, ldx, ferr, berr, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sppsv "BLAS_FUNC(sppsv)"(char *uplo, int *n, int *nrhs, s *ap, s *b, int *ldb, int *info) nogil
cdef void sppsv(char *uplo, int *n, int *nrhs, s *ap, s *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_sppsv(uplo, n, nrhs, ap, b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sppsvx "BLAS_FUNC(sppsvx)"(char *fact, char *uplo, int *n, int *nrhs, s *ap, s *afp, char *equed, s *s, s *b, int *ldb, s *x, int *ldx, s *rcond, s *ferr, s *berr, s *work, int *iwork, int *info) nogil
cdef void sppsvx(char *fact, char *uplo, int *n, int *nrhs, s *ap, s *afp, char *equed, s *s, s *b, int *ldb, s *x, int *ldx, s *rcond, s *ferr, s *berr, s *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_sppsvx(fact, uplo, n, nrhs, ap, afp, equed, s, b, ldb, x, ldx, rcond, ferr, berr, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_spptrf "BLAS_FUNC(spptrf)"(char *uplo, int *n, s *ap, int *info) nogil
cdef void spptrf(char *uplo, int *n, s *ap, int *info) noexcept nogil:
    
    _fortran_spptrf(uplo, n, ap, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_spptri "BLAS_FUNC(spptri)"(char *uplo, int *n, s *ap, int *info) nogil
cdef void spptri(char *uplo, int *n, s *ap, int *info) noexcept nogil:
    
    _fortran_spptri(uplo, n, ap, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_spptrs "BLAS_FUNC(spptrs)"(char *uplo, int *n, int *nrhs, s *ap, s *b, int *ldb, int *info) nogil
cdef void spptrs(char *uplo, int *n, int *nrhs, s *ap, s *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_spptrs(uplo, n, nrhs, ap, b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_spstf2 "BLAS_FUNC(spstf2)"(char *uplo, int *n, s *a, int *lda, int *piv, int *rank, s *tol, s *work, int *info) nogil
cdef void spstf2(char *uplo, int *n, s *a, int *lda, int *piv, int *rank, s *tol, s *work, int *info) noexcept nogil:
    
    _fortran_spstf2(uplo, n, a, lda, piv, rank, tol, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_spstrf "BLAS_FUNC(spstrf)"(char *uplo, int *n, s *a, int *lda, int *piv, int *rank, s *tol, s *work, int *info) nogil
cdef void spstrf(char *uplo, int *n, s *a, int *lda, int *piv, int *rank, s *tol, s *work, int *info) noexcept nogil:
    
    _fortran_spstrf(uplo, n, a, lda, piv, rank, tol, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sptcon "BLAS_FUNC(sptcon)"(int *n, s *d, s *e, s *anorm, s *rcond, s *work, int *info) nogil
cdef void sptcon(int *n, s *d, s *e, s *anorm, s *rcond, s *work, int *info) noexcept nogil:
    
    _fortran_sptcon(n, d, e, anorm, rcond, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_spteqr "BLAS_FUNC(spteqr)"(char *compz, int *n, s *d, s *e, s *z, int *ldz, s *work, int *info) nogil
cdef void spteqr(char *compz, int *n, s *d, s *e, s *z, int *ldz, s *work, int *info) noexcept nogil:
    
    _fortran_spteqr(compz, n, d, e, z, ldz, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sptrfs "BLAS_FUNC(sptrfs)"(int *n, int *nrhs, s *d, s *e, s *df, s *ef, s *b, int *ldb, s *x, int *ldx, s *ferr, s *berr, s *work, int *info) nogil
cdef void sptrfs(int *n, int *nrhs, s *d, s *e, s *df, s *ef, s *b, int *ldb, s *x, int *ldx, s *ferr, s *berr, s *work, int *info) noexcept nogil:
    
    _fortran_sptrfs(n, nrhs, d, e, df, ef, b, ldb, x, ldx, ferr, berr, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sptsv "BLAS_FUNC(sptsv)"(int *n, int *nrhs, s *d, s *e, s *b, int *ldb, int *info) nogil
cdef void sptsv(int *n, int *nrhs, s *d, s *e, s *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_sptsv(n, nrhs, d, e, b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sptsvx "BLAS_FUNC(sptsvx)"(char *fact, int *n, int *nrhs, s *d, s *e, s *df, s *ef, s *b, int *ldb, s *x, int *ldx, s *rcond, s *ferr, s *berr, s *work, int *info) nogil
cdef void sptsvx(char *fact, int *n, int *nrhs, s *d, s *e, s *df, s *ef, s *b, int *ldb, s *x, int *ldx, s *rcond, s *ferr, s *berr, s *work, int *info) noexcept nogil:
    
    _fortran_sptsvx(fact, n, nrhs, d, e, df, ef, b, ldb, x, ldx, rcond, ferr, berr, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_spttrf "BLAS_FUNC(spttrf)"(int *n, s *d, s *e, int *info) nogil
cdef void spttrf(int *n, s *d, s *e, int *info) noexcept nogil:
    
    _fortran_spttrf(n, d, e, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_spttrs "BLAS_FUNC(spttrs)"(int *n, int *nrhs, s *d, s *e, s *b, int *ldb, int *info) nogil
cdef void spttrs(int *n, int *nrhs, s *d, s *e, s *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_spttrs(n, nrhs, d, e, b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sptts2 "BLAS_FUNC(sptts2)"(int *n, int *nrhs, s *d, s *e, s *b, int *ldb) nogil
cdef void sptts2(int *n, int *nrhs, s *d, s *e, s *b, int *ldb) noexcept nogil:
    
    _fortran_sptts2(n, nrhs, d, e, b, ldb)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_srscl "BLAS_FUNC(srscl)"(int *n, s *sa, s *sx, int *incx) nogil
cdef void srscl(int *n, s *sa, s *sx, int *incx) noexcept nogil:
    
    _fortran_srscl(n, sa, sx, incx)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ssbev "BLAS_FUNC(ssbev)"(char *jobz, char *uplo, int *n, int *kd, s *ab, int *ldab, s *w, s *z, int *ldz, s *work, int *info) nogil
cdef void ssbev(char *jobz, char *uplo, int *n, int *kd, s *ab, int *ldab, s *w, s *z, int *ldz, s *work, int *info) noexcept nogil:
    
    _fortran_ssbev(jobz, uplo, n, kd, ab, ldab, w, z, ldz, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ssbevd "BLAS_FUNC(ssbevd)"(char *jobz, char *uplo, int *n, int *kd, s *ab, int *ldab, s *w, s *z, int *ldz, s *work, int *lwork, int *iwork, int *liwork, int *info) nogil
cdef void ssbevd(char *jobz, char *uplo, int *n, int *kd, s *ab, int *ldab, s *w, s *z, int *ldz, s *work, int *lwork, int *iwork, int *liwork, int *info) noexcept nogil:
    
    _fortran_ssbevd(jobz, uplo, n, kd, ab, ldab, w, z, ldz, work, lwork, iwork, liwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ssbevx "BLAS_FUNC(ssbevx)"(char *jobz, char *range, char *uplo, int *n, int *kd, s *ab, int *ldab, s *q, int *ldq, s *vl, s *vu, int *il, int *iu, s *abstol, int *m, s *w, s *z, int *ldz, s *work, int *iwork, int *ifail, int *info) nogil
cdef void ssbevx(char *jobz, char *range, char *uplo, int *n, int *kd, s *ab, int *ldab, s *q, int *ldq, s *vl, s *vu, int *il, int *iu, s *abstol, int *m, s *w, s *z, int *ldz, s *work, int *iwork, int *ifail, int *info) noexcept nogil:
    
    _fortran_ssbevx(jobz, range, uplo, n, kd, ab, ldab, q, ldq, vl, vu, il, iu, abstol, m, w, z, ldz, work, iwork, ifail, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ssbgst "BLAS_FUNC(ssbgst)"(char *vect, char *uplo, int *n, int *ka, int *kb, s *ab, int *ldab, s *bb, int *ldbb, s *x, int *ldx, s *work, int *info) nogil
cdef void ssbgst(char *vect, char *uplo, int *n, int *ka, int *kb, s *ab, int *ldab, s *bb, int *ldbb, s *x, int *ldx, s *work, int *info) noexcept nogil:
    
    _fortran_ssbgst(vect, uplo, n, ka, kb, ab, ldab, bb, ldbb, x, ldx, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ssbgv "BLAS_FUNC(ssbgv)"(char *jobz, char *uplo, int *n, int *ka, int *kb, s *ab, int *ldab, s *bb, int *ldbb, s *w, s *z, int *ldz, s *work, int *info) nogil
cdef void ssbgv(char *jobz, char *uplo, int *n, int *ka, int *kb, s *ab, int *ldab, s *bb, int *ldbb, s *w, s *z, int *ldz, s *work, int *info) noexcept nogil:
    
    _fortran_ssbgv(jobz, uplo, n, ka, kb, ab, ldab, bb, ldbb, w, z, ldz, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ssbgvd "BLAS_FUNC(ssbgvd)"(char *jobz, char *uplo, int *n, int *ka, int *kb, s *ab, int *ldab, s *bb, int *ldbb, s *w, s *z, int *ldz, s *work, int *lwork, int *iwork, int *liwork, int *info) nogil
cdef void ssbgvd(char *jobz, char *uplo, int *n, int *ka, int *kb, s *ab, int *ldab, s *bb, int *ldbb, s *w, s *z, int *ldz, s *work, int *lwork, int *iwork, int *liwork, int *info) noexcept nogil:
    
    _fortran_ssbgvd(jobz, uplo, n, ka, kb, ab, ldab, bb, ldbb, w, z, ldz, work, lwork, iwork, liwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ssbgvx "BLAS_FUNC(ssbgvx)"(char *jobz, char *range, char *uplo, int *n, int *ka, int *kb, s *ab, int *ldab, s *bb, int *ldbb, s *q, int *ldq, s *vl, s *vu, int *il, int *iu, s *abstol, int *m, s *w, s *z, int *ldz, s *work, int *iwork, int *ifail, int *info) nogil
cdef void ssbgvx(char *jobz, char *range, char *uplo, int *n, int *ka, int *kb, s *ab, int *ldab, s *bb, int *ldbb, s *q, int *ldq, s *vl, s *vu, int *il, int *iu, s *abstol, int *m, s *w, s *z, int *ldz, s *work, int *iwork, int *ifail, int *info) noexcept nogil:
    
    _fortran_ssbgvx(jobz, range, uplo, n, ka, kb, ab, ldab, bb, ldbb, q, ldq, vl, vu, il, iu, abstol, m, w, z, ldz, work, iwork, ifail, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ssbtrd "BLAS_FUNC(ssbtrd)"(char *vect, char *uplo, int *n, int *kd, s *ab, int *ldab, s *d, s *e, s *q, int *ldq, s *work, int *info) nogil
cdef void ssbtrd(char *vect, char *uplo, int *n, int *kd, s *ab, int *ldab, s *d, s *e, s *q, int *ldq, s *work, int *info) noexcept nogil:
    
    _fortran_ssbtrd(vect, uplo, n, kd, ab, ldab, d, e, q, ldq, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ssfrk "BLAS_FUNC(ssfrk)"(char *transr, char *uplo, char *trans, int *n, int *k, s *alpha, s *a, int *lda, s *beta, s *c) nogil
cdef void ssfrk(char *transr, char *uplo, char *trans, int *n, int *k, s *alpha, s *a, int *lda, s *beta, s *c) noexcept nogil:
    
    _fortran_ssfrk(transr, uplo, trans, n, k, alpha, a, lda, beta, c)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sspcon "BLAS_FUNC(sspcon)"(char *uplo, int *n, s *ap, int *ipiv, s *anorm, s *rcond, s *work, int *iwork, int *info) nogil
cdef void sspcon(char *uplo, int *n, s *ap, int *ipiv, s *anorm, s *rcond, s *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_sspcon(uplo, n, ap, ipiv, anorm, rcond, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sspev "BLAS_FUNC(sspev)"(char *jobz, char *uplo, int *n, s *ap, s *w, s *z, int *ldz, s *work, int *info) nogil
cdef void sspev(char *jobz, char *uplo, int *n, s *ap, s *w, s *z, int *ldz, s *work, int *info) noexcept nogil:
    
    _fortran_sspev(jobz, uplo, n, ap, w, z, ldz, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sspevd "BLAS_FUNC(sspevd)"(char *jobz, char *uplo, int *n, s *ap, s *w, s *z, int *ldz, s *work, int *lwork, int *iwork, int *liwork, int *info) nogil
cdef void sspevd(char *jobz, char *uplo, int *n, s *ap, s *w, s *z, int *ldz, s *work, int *lwork, int *iwork, int *liwork, int *info) noexcept nogil:
    
    _fortran_sspevd(jobz, uplo, n, ap, w, z, ldz, work, lwork, iwork, liwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sspevx "BLAS_FUNC(sspevx)"(char *jobz, char *range, char *uplo, int *n, s *ap, s *vl, s *vu, int *il, int *iu, s *abstol, int *m, s *w, s *z, int *ldz, s *work, int *iwork, int *ifail, int *info) nogil
cdef void sspevx(char *jobz, char *range, char *uplo, int *n, s *ap, s *vl, s *vu, int *il, int *iu, s *abstol, int *m, s *w, s *z, int *ldz, s *work, int *iwork, int *ifail, int *info) noexcept nogil:
    
    _fortran_sspevx(jobz, range, uplo, n, ap, vl, vu, il, iu, abstol, m, w, z, ldz, work, iwork, ifail, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sspgst "BLAS_FUNC(sspgst)"(int *itype, char *uplo, int *n, s *ap, s *bp, int *info) nogil
cdef void sspgst(int *itype, char *uplo, int *n, s *ap, s *bp, int *info) noexcept nogil:
    
    _fortran_sspgst(itype, uplo, n, ap, bp, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sspgv "BLAS_FUNC(sspgv)"(int *itype, char *jobz, char *uplo, int *n, s *ap, s *bp, s *w, s *z, int *ldz, s *work, int *info) nogil
cdef void sspgv(int *itype, char *jobz, char *uplo, int *n, s *ap, s *bp, s *w, s *z, int *ldz, s *work, int *info) noexcept nogil:
    
    _fortran_sspgv(itype, jobz, uplo, n, ap, bp, w, z, ldz, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sspgvd "BLAS_FUNC(sspgvd)"(int *itype, char *jobz, char *uplo, int *n, s *ap, s *bp, s *w, s *z, int *ldz, s *work, int *lwork, int *iwork, int *liwork, int *info) nogil
cdef void sspgvd(int *itype, char *jobz, char *uplo, int *n, s *ap, s *bp, s *w, s *z, int *ldz, s *work, int *lwork, int *iwork, int *liwork, int *info) noexcept nogil:
    
    _fortran_sspgvd(itype, jobz, uplo, n, ap, bp, w, z, ldz, work, lwork, iwork, liwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sspgvx "BLAS_FUNC(sspgvx)"(int *itype, char *jobz, char *range, char *uplo, int *n, s *ap, s *bp, s *vl, s *vu, int *il, int *iu, s *abstol, int *m, s *w, s *z, int *ldz, s *work, int *iwork, int *ifail, int *info) nogil
cdef void sspgvx(int *itype, char *jobz, char *range, char *uplo, int *n, s *ap, s *bp, s *vl, s *vu, int *il, int *iu, s *abstol, int *m, s *w, s *z, int *ldz, s *work, int *iwork, int *ifail, int *info) noexcept nogil:
    
    _fortran_sspgvx(itype, jobz, range, uplo, n, ap, bp, vl, vu, il, iu, abstol, m, w, z, ldz, work, iwork, ifail, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ssprfs "BLAS_FUNC(ssprfs)"(char *uplo, int *n, int *nrhs, s *ap, s *afp, int *ipiv, s *b, int *ldb, s *x, int *ldx, s *ferr, s *berr, s *work, int *iwork, int *info) nogil
cdef void ssprfs(char *uplo, int *n, int *nrhs, s *ap, s *afp, int *ipiv, s *b, int *ldb, s *x, int *ldx, s *ferr, s *berr, s *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_ssprfs(uplo, n, nrhs, ap, afp, ipiv, b, ldb, x, ldx, ferr, berr, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sspsv "BLAS_FUNC(sspsv)"(char *uplo, int *n, int *nrhs, s *ap, int *ipiv, s *b, int *ldb, int *info) nogil
cdef void sspsv(char *uplo, int *n, int *nrhs, s *ap, int *ipiv, s *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_sspsv(uplo, n, nrhs, ap, ipiv, b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sspsvx "BLAS_FUNC(sspsvx)"(char *fact, char *uplo, int *n, int *nrhs, s *ap, s *afp, int *ipiv, s *b, int *ldb, s *x, int *ldx, s *rcond, s *ferr, s *berr, s *work, int *iwork, int *info) nogil
cdef void sspsvx(char *fact, char *uplo, int *n, int *nrhs, s *ap, s *afp, int *ipiv, s *b, int *ldb, s *x, int *ldx, s *rcond, s *ferr, s *berr, s *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_sspsvx(fact, uplo, n, nrhs, ap, afp, ipiv, b, ldb, x, ldx, rcond, ferr, berr, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ssptrd "BLAS_FUNC(ssptrd)"(char *uplo, int *n, s *ap, s *d, s *e, s *tau, int *info) nogil
cdef void ssptrd(char *uplo, int *n, s *ap, s *d, s *e, s *tau, int *info) noexcept nogil:
    
    _fortran_ssptrd(uplo, n, ap, d, e, tau, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ssptrf "BLAS_FUNC(ssptrf)"(char *uplo, int *n, s *ap, int *ipiv, int *info) nogil
cdef void ssptrf(char *uplo, int *n, s *ap, int *ipiv, int *info) noexcept nogil:
    
    _fortran_ssptrf(uplo, n, ap, ipiv, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ssptri "BLAS_FUNC(ssptri)"(char *uplo, int *n, s *ap, int *ipiv, s *work, int *info) nogil
cdef void ssptri(char *uplo, int *n, s *ap, int *ipiv, s *work, int *info) noexcept nogil:
    
    _fortran_ssptri(uplo, n, ap, ipiv, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ssptrs "BLAS_FUNC(ssptrs)"(char *uplo, int *n, int *nrhs, s *ap, int *ipiv, s *b, int *ldb, int *info) nogil
cdef void ssptrs(char *uplo, int *n, int *nrhs, s *ap, int *ipiv, s *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_ssptrs(uplo, n, nrhs, ap, ipiv, b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sstebz "BLAS_FUNC(sstebz)"(char *range, char *order, int *n, s *vl, s *vu, int *il, int *iu, s *abstol, s *d, s *e, int *m, int *nsplit, s *w, int *iblock, int *isplit, s *work, int *iwork, int *info) nogil
cdef void sstebz(char *range, char *order, int *n, s *vl, s *vu, int *il, int *iu, s *abstol, s *d, s *e, int *m, int *nsplit, s *w, int *iblock, int *isplit, s *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_sstebz(range, order, n, vl, vu, il, iu, abstol, d, e, m, nsplit, w, iblock, isplit, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sstedc "BLAS_FUNC(sstedc)"(char *compz, int *n, s *d, s *e, s *z, int *ldz, s *work, int *lwork, int *iwork, int *liwork, int *info) nogil
cdef void sstedc(char *compz, int *n, s *d, s *e, s *z, int *ldz, s *work, int *lwork, int *iwork, int *liwork, int *info) noexcept nogil:
    
    _fortran_sstedc(compz, n, d, e, z, ldz, work, lwork, iwork, liwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sstegr "BLAS_FUNC(sstegr)"(char *jobz, char *range, int *n, s *d, s *e, s *vl, s *vu, int *il, int *iu, s *abstol, int *m, s *w, s *z, int *ldz, int *isuppz, s *work, int *lwork, int *iwork, int *liwork, int *info) nogil
cdef void sstegr(char *jobz, char *range, int *n, s *d, s *e, s *vl, s *vu, int *il, int *iu, s *abstol, int *m, s *w, s *z, int *ldz, int *isuppz, s *work, int *lwork, int *iwork, int *liwork, int *info) noexcept nogil:
    
    _fortran_sstegr(jobz, range, n, d, e, vl, vu, il, iu, abstol, m, w, z, ldz, isuppz, work, lwork, iwork, liwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sstein "BLAS_FUNC(sstein)"(int *n, s *d, s *e, int *m, s *w, int *iblock, int *isplit, s *z, int *ldz, s *work, int *iwork, int *ifail, int *info) nogil
cdef void sstein(int *n, s *d, s *e, int *m, s *w, int *iblock, int *isplit, s *z, int *ldz, s *work, int *iwork, int *ifail, int *info) noexcept nogil:
    
    _fortran_sstein(n, d, e, m, w, iblock, isplit, z, ldz, work, iwork, ifail, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sstemr "BLAS_FUNC(sstemr)"(char *jobz, char *range, int *n, s *d, s *e, s *vl, s *vu, int *il, int *iu, int *m, s *w, s *z, int *ldz, int *nzc, int *isuppz, bint *tryrac, s *work, int *lwork, int *iwork, int *liwork, int *info) nogil
cdef void sstemr(char *jobz, char *range, int *n, s *d, s *e, s *vl, s *vu, int *il, int *iu, int *m, s *w, s *z, int *ldz, int *nzc, int *isuppz, bint *tryrac, s *work, int *lwork, int *iwork, int *liwork, int *info) noexcept nogil:
    
    _fortran_sstemr(jobz, range, n, d, e, vl, vu, il, iu, m, w, z, ldz, nzc, isuppz, tryrac, work, lwork, iwork, liwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ssteqr "BLAS_FUNC(ssteqr)"(char *compz, int *n, s *d, s *e, s *z, int *ldz, s *work, int *info) nogil
cdef void ssteqr(char *compz, int *n, s *d, s *e, s *z, int *ldz, s *work, int *info) noexcept nogil:
    
    _fortran_ssteqr(compz, n, d, e, z, ldz, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ssterf "BLAS_FUNC(ssterf)"(int *n, s *d, s *e, int *info) nogil
cdef void ssterf(int *n, s *d, s *e, int *info) noexcept nogil:
    
    _fortran_ssterf(n, d, e, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sstev "BLAS_FUNC(sstev)"(char *jobz, int *n, s *d, s *e, s *z, int *ldz, s *work, int *info) nogil
cdef void sstev(char *jobz, int *n, s *d, s *e, s *z, int *ldz, s *work, int *info) noexcept nogil:
    
    _fortran_sstev(jobz, n, d, e, z, ldz, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sstevd "BLAS_FUNC(sstevd)"(char *jobz, int *n, s *d, s *e, s *z, int *ldz, s *work, int *lwork, int *iwork, int *liwork, int *info) nogil
cdef void sstevd(char *jobz, int *n, s *d, s *e, s *z, int *ldz, s *work, int *lwork, int *iwork, int *liwork, int *info) noexcept nogil:
    
    _fortran_sstevd(jobz, n, d, e, z, ldz, work, lwork, iwork, liwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sstevr "BLAS_FUNC(sstevr)"(char *jobz, char *range, int *n, s *d, s *e, s *vl, s *vu, int *il, int *iu, s *abstol, int *m, s *w, s *z, int *ldz, int *isuppz, s *work, int *lwork, int *iwork, int *liwork, int *info) nogil
cdef void sstevr(char *jobz, char *range, int *n, s *d, s *e, s *vl, s *vu, int *il, int *iu, s *abstol, int *m, s *w, s *z, int *ldz, int *isuppz, s *work, int *lwork, int *iwork, int *liwork, int *info) noexcept nogil:
    
    _fortran_sstevr(jobz, range, n, d, e, vl, vu, il, iu, abstol, m, w, z, ldz, isuppz, work, lwork, iwork, liwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_sstevx "BLAS_FUNC(sstevx)"(char *jobz, char *range, int *n, s *d, s *e, s *vl, s *vu, int *il, int *iu, s *abstol, int *m, s *w, s *z, int *ldz, s *work, int *iwork, int *ifail, int *info) nogil
cdef void sstevx(char *jobz, char *range, int *n, s *d, s *e, s *vl, s *vu, int *il, int *iu, s *abstol, int *m, s *w, s *z, int *ldz, s *work, int *iwork, int *ifail, int *info) noexcept nogil:
    
    _fortran_sstevx(jobz, range, n, d, e, vl, vu, il, iu, abstol, m, w, z, ldz, work, iwork, ifail, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ssycon "BLAS_FUNC(ssycon)"(char *uplo, int *n, s *a, int *lda, int *ipiv, s *anorm, s *rcond, s *work, int *iwork, int *info) nogil
cdef void ssycon(char *uplo, int *n, s *a, int *lda, int *ipiv, s *anorm, s *rcond, s *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_ssycon(uplo, n, a, lda, ipiv, anorm, rcond, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ssyconv "BLAS_FUNC(ssyconv)"(char *uplo, char *way, int *n, s *a, int *lda, int *ipiv, s *work, int *info) nogil
cdef void ssyconv(char *uplo, char *way, int *n, s *a, int *lda, int *ipiv, s *work, int *info) noexcept nogil:
    
    _fortran_ssyconv(uplo, way, n, a, lda, ipiv, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ssyequb "BLAS_FUNC(ssyequb)"(char *uplo, int *n, s *a, int *lda, s *s, s *scond, s *amax, s *work, int *info) nogil
cdef void ssyequb(char *uplo, int *n, s *a, int *lda, s *s, s *scond, s *amax, s *work, int *info) noexcept nogil:
    
    _fortran_ssyequb(uplo, n, a, lda, s, scond, amax, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ssyev "BLAS_FUNC(ssyev)"(char *jobz, char *uplo, int *n, s *a, int *lda, s *w, s *work, int *lwork, int *info) nogil
cdef void ssyev(char *jobz, char *uplo, int *n, s *a, int *lda, s *w, s *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_ssyev(jobz, uplo, n, a, lda, w, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ssyevd "BLAS_FUNC(ssyevd)"(char *jobz, char *uplo, int *n, s *a, int *lda, s *w, s *work, int *lwork, int *iwork, int *liwork, int *info) nogil
cdef void ssyevd(char *jobz, char *uplo, int *n, s *a, int *lda, s *w, s *work, int *lwork, int *iwork, int *liwork, int *info) noexcept nogil:
    
    _fortran_ssyevd(jobz, uplo, n, a, lda, w, work, lwork, iwork, liwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ssyevr "BLAS_FUNC(ssyevr)"(char *jobz, char *range, char *uplo, int *n, s *a, int *lda, s *vl, s *vu, int *il, int *iu, s *abstol, int *m, s *w, s *z, int *ldz, int *isuppz, s *work, int *lwork, int *iwork, int *liwork, int *info) nogil
cdef void ssyevr(char *jobz, char *range, char *uplo, int *n, s *a, int *lda, s *vl, s *vu, int *il, int *iu, s *abstol, int *m, s *w, s *z, int *ldz, int *isuppz, s *work, int *lwork, int *iwork, int *liwork, int *info) noexcept nogil:
    
    _fortran_ssyevr(jobz, range, uplo, n, a, lda, vl, vu, il, iu, abstol, m, w, z, ldz, isuppz, work, lwork, iwork, liwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ssyevx "BLAS_FUNC(ssyevx)"(char *jobz, char *range, char *uplo, int *n, s *a, int *lda, s *vl, s *vu, int *il, int *iu, s *abstol, int *m, s *w, s *z, int *ldz, s *work, int *lwork, int *iwork, int *ifail, int *info) nogil
cdef void ssyevx(char *jobz, char *range, char *uplo, int *n, s *a, int *lda, s *vl, s *vu, int *il, int *iu, s *abstol, int *m, s *w, s *z, int *ldz, s *work, int *lwork, int *iwork, int *ifail, int *info) noexcept nogil:
    
    _fortran_ssyevx(jobz, range, uplo, n, a, lda, vl, vu, il, iu, abstol, m, w, z, ldz, work, lwork, iwork, ifail, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ssygs2 "BLAS_FUNC(ssygs2)"(int *itype, char *uplo, int *n, s *a, int *lda, s *b, int *ldb, int *info) nogil
cdef void ssygs2(int *itype, char *uplo, int *n, s *a, int *lda, s *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_ssygs2(itype, uplo, n, a, lda, b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ssygst "BLAS_FUNC(ssygst)"(int *itype, char *uplo, int *n, s *a, int *lda, s *b, int *ldb, int *info) nogil
cdef void ssygst(int *itype, char *uplo, int *n, s *a, int *lda, s *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_ssygst(itype, uplo, n, a, lda, b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ssygv "BLAS_FUNC(ssygv)"(int *itype, char *jobz, char *uplo, int *n, s *a, int *lda, s *b, int *ldb, s *w, s *work, int *lwork, int *info) nogil
cdef void ssygv(int *itype, char *jobz, char *uplo, int *n, s *a, int *lda, s *b, int *ldb, s *w, s *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_ssygv(itype, jobz, uplo, n, a, lda, b, ldb, w, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ssygvd "BLAS_FUNC(ssygvd)"(int *itype, char *jobz, char *uplo, int *n, s *a, int *lda, s *b, int *ldb, s *w, s *work, int *lwork, int *iwork, int *liwork, int *info) nogil
cdef void ssygvd(int *itype, char *jobz, char *uplo, int *n, s *a, int *lda, s *b, int *ldb, s *w, s *work, int *lwork, int *iwork, int *liwork, int *info) noexcept nogil:
    
    _fortran_ssygvd(itype, jobz, uplo, n, a, lda, b, ldb, w, work, lwork, iwork, liwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ssygvx "BLAS_FUNC(ssygvx)"(int *itype, char *jobz, char *range, char *uplo, int *n, s *a, int *lda, s *b, int *ldb, s *vl, s *vu, int *il, int *iu, s *abstol, int *m, s *w, s *z, int *ldz, s *work, int *lwork, int *iwork, int *ifail, int *info) nogil
cdef void ssygvx(int *itype, char *jobz, char *range, char *uplo, int *n, s *a, int *lda, s *b, int *ldb, s *vl, s *vu, int *il, int *iu, s *abstol, int *m, s *w, s *z, int *ldz, s *work, int *lwork, int *iwork, int *ifail, int *info) noexcept nogil:
    
    _fortran_ssygvx(itype, jobz, range, uplo, n, a, lda, b, ldb, vl, vu, il, iu, abstol, m, w, z, ldz, work, lwork, iwork, ifail, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ssyrfs "BLAS_FUNC(ssyrfs)"(char *uplo, int *n, int *nrhs, s *a, int *lda, s *af, int *ldaf, int *ipiv, s *b, int *ldb, s *x, int *ldx, s *ferr, s *berr, s *work, int *iwork, int *info) nogil
cdef void ssyrfs(char *uplo, int *n, int *nrhs, s *a, int *lda, s *af, int *ldaf, int *ipiv, s *b, int *ldb, s *x, int *ldx, s *ferr, s *berr, s *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_ssyrfs(uplo, n, nrhs, a, lda, af, ldaf, ipiv, b, ldb, x, ldx, ferr, berr, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ssysv "BLAS_FUNC(ssysv)"(char *uplo, int *n, int *nrhs, s *a, int *lda, int *ipiv, s *b, int *ldb, s *work, int *lwork, int *info) nogil
cdef void ssysv(char *uplo, int *n, int *nrhs, s *a, int *lda, int *ipiv, s *b, int *ldb, s *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_ssysv(uplo, n, nrhs, a, lda, ipiv, b, ldb, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ssysvx "BLAS_FUNC(ssysvx)"(char *fact, char *uplo, int *n, int *nrhs, s *a, int *lda, s *af, int *ldaf, int *ipiv, s *b, int *ldb, s *x, int *ldx, s *rcond, s *ferr, s *berr, s *work, int *lwork, int *iwork, int *info) nogil
cdef void ssysvx(char *fact, char *uplo, int *n, int *nrhs, s *a, int *lda, s *af, int *ldaf, int *ipiv, s *b, int *ldb, s *x, int *ldx, s *rcond, s *ferr, s *berr, s *work, int *lwork, int *iwork, int *info) noexcept nogil:
    
    _fortran_ssysvx(fact, uplo, n, nrhs, a, lda, af, ldaf, ipiv, b, ldb, x, ldx, rcond, ferr, berr, work, lwork, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ssyswapr "BLAS_FUNC(ssyswapr)"(char *uplo, int *n, s *a, int *lda, int *i1, int *i2) nogil
cdef void ssyswapr(char *uplo, int *n, s *a, int *lda, int *i1, int *i2) noexcept nogil:
    
    _fortran_ssyswapr(uplo, n, a, lda, i1, i2)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ssytd2 "BLAS_FUNC(ssytd2)"(char *uplo, int *n, s *a, int *lda, s *d, s *e, s *tau, int *info) nogil
cdef void ssytd2(char *uplo, int *n, s *a, int *lda, s *d, s *e, s *tau, int *info) noexcept nogil:
    
    _fortran_ssytd2(uplo, n, a, lda, d, e, tau, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ssytf2 "BLAS_FUNC(ssytf2)"(char *uplo, int *n, s *a, int *lda, int *ipiv, int *info) nogil
cdef void ssytf2(char *uplo, int *n, s *a, int *lda, int *ipiv, int *info) noexcept nogil:
    
    _fortran_ssytf2(uplo, n, a, lda, ipiv, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ssytrd "BLAS_FUNC(ssytrd)"(char *uplo, int *n, s *a, int *lda, s *d, s *e, s *tau, s *work, int *lwork, int *info) nogil
cdef void ssytrd(char *uplo, int *n, s *a, int *lda, s *d, s *e, s *tau, s *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_ssytrd(uplo, n, a, lda, d, e, tau, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ssytrf "BLAS_FUNC(ssytrf)"(char *uplo, int *n, s *a, int *lda, int *ipiv, s *work, int *lwork, int *info) nogil
cdef void ssytrf(char *uplo, int *n, s *a, int *lda, int *ipiv, s *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_ssytrf(uplo, n, a, lda, ipiv, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ssytri "BLAS_FUNC(ssytri)"(char *uplo, int *n, s *a, int *lda, int *ipiv, s *work, int *info) nogil
cdef void ssytri(char *uplo, int *n, s *a, int *lda, int *ipiv, s *work, int *info) noexcept nogil:
    
    _fortran_ssytri(uplo, n, a, lda, ipiv, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ssytri2 "BLAS_FUNC(ssytri2)"(char *uplo, int *n, s *a, int *lda, int *ipiv, s *work, int *lwork, int *info) nogil
cdef void ssytri2(char *uplo, int *n, s *a, int *lda, int *ipiv, s *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_ssytri2(uplo, n, a, lda, ipiv, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ssytri2x "BLAS_FUNC(ssytri2x)"(char *uplo, int *n, s *a, int *lda, int *ipiv, s *work, int *nb, int *info) nogil
cdef void ssytri2x(char *uplo, int *n, s *a, int *lda, int *ipiv, s *work, int *nb, int *info) noexcept nogil:
    
    _fortran_ssytri2x(uplo, n, a, lda, ipiv, work, nb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ssytrs "BLAS_FUNC(ssytrs)"(char *uplo, int *n, int *nrhs, s *a, int *lda, int *ipiv, s *b, int *ldb, int *info) nogil
cdef void ssytrs(char *uplo, int *n, int *nrhs, s *a, int *lda, int *ipiv, s *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_ssytrs(uplo, n, nrhs, a, lda, ipiv, b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ssytrs2 "BLAS_FUNC(ssytrs2)"(char *uplo, int *n, int *nrhs, s *a, int *lda, int *ipiv, s *b, int *ldb, s *work, int *info) nogil
cdef void ssytrs2(char *uplo, int *n, int *nrhs, s *a, int *lda, int *ipiv, s *b, int *ldb, s *work, int *info) noexcept nogil:
    
    _fortran_ssytrs2(uplo, n, nrhs, a, lda, ipiv, b, ldb, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_stbcon "BLAS_FUNC(stbcon)"(char *norm, char *uplo, char *diag, int *n, int *kd, s *ab, int *ldab, s *rcond, s *work, int *iwork, int *info) nogil
cdef void stbcon(char *norm, char *uplo, char *diag, int *n, int *kd, s *ab, int *ldab, s *rcond, s *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_stbcon(norm, uplo, diag, n, kd, ab, ldab, rcond, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_stbrfs "BLAS_FUNC(stbrfs)"(char *uplo, char *trans, char *diag, int *n, int *kd, int *nrhs, s *ab, int *ldab, s *b, int *ldb, s *x, int *ldx, s *ferr, s *berr, s *work, int *iwork, int *info) nogil
cdef void stbrfs(char *uplo, char *trans, char *diag, int *n, int *kd, int *nrhs, s *ab, int *ldab, s *b, int *ldb, s *x, int *ldx, s *ferr, s *berr, s *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_stbrfs(uplo, trans, diag, n, kd, nrhs, ab, ldab, b, ldb, x, ldx, ferr, berr, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_stbtrs "BLAS_FUNC(stbtrs)"(char *uplo, char *trans, char *diag, int *n, int *kd, int *nrhs, s *ab, int *ldab, s *b, int *ldb, int *info) nogil
cdef void stbtrs(char *uplo, char *trans, char *diag, int *n, int *kd, int *nrhs, s *ab, int *ldab, s *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_stbtrs(uplo, trans, diag, n, kd, nrhs, ab, ldab, b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_stfsm "BLAS_FUNC(stfsm)"(char *transr, char *side, char *uplo, char *trans, char *diag, int *m, int *n, s *alpha, s *a, s *b, int *ldb) nogil
cdef void stfsm(char *transr, char *side, char *uplo, char *trans, char *diag, int *m, int *n, s *alpha, s *a, s *b, int *ldb) noexcept nogil:
    
    _fortran_stfsm(transr, side, uplo, trans, diag, m, n, alpha, a, b, ldb)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_stftri "BLAS_FUNC(stftri)"(char *transr, char *uplo, char *diag, int *n, s *a, int *info) nogil
cdef void stftri(char *transr, char *uplo, char *diag, int *n, s *a, int *info) noexcept nogil:
    
    _fortran_stftri(transr, uplo, diag, n, a, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_stfttp "BLAS_FUNC(stfttp)"(char *transr, char *uplo, int *n, s *arf, s *ap, int *info) nogil
cdef void stfttp(char *transr, char *uplo, int *n, s *arf, s *ap, int *info) noexcept nogil:
    
    _fortran_stfttp(transr, uplo, n, arf, ap, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_stfttr "BLAS_FUNC(stfttr)"(char *transr, char *uplo, int *n, s *arf, s *a, int *lda, int *info) nogil
cdef void stfttr(char *transr, char *uplo, int *n, s *arf, s *a, int *lda, int *info) noexcept nogil:
    
    _fortran_stfttr(transr, uplo, n, arf, a, lda, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_stgevc "BLAS_FUNC(stgevc)"(char *side, char *howmny, bint *select, int *n, s *s, int *lds, s *p, int *ldp, s *vl, int *ldvl, s *vr, int *ldvr, int *mm, int *m, s *work, int *info) nogil
cdef void stgevc(char *side, char *howmny, bint *select, int *n, s *s, int *lds, s *p, int *ldp, s *vl, int *ldvl, s *vr, int *ldvr, int *mm, int *m, s *work, int *info) noexcept nogil:
    
    _fortran_stgevc(side, howmny, select, n, s, lds, p, ldp, vl, ldvl, vr, ldvr, mm, m, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_stgex2 "BLAS_FUNC(stgex2)"(bint *wantq, bint *wantz, int *n, s *a, int *lda, s *b, int *ldb, s *q, int *ldq, s *z, int *ldz, int *j1, int *n1, int *n2, s *work, int *lwork, int *info) nogil
cdef void stgex2(bint *wantq, bint *wantz, int *n, s *a, int *lda, s *b, int *ldb, s *q, int *ldq, s *z, int *ldz, int *j1, int *n1, int *n2, s *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_stgex2(wantq, wantz, n, a, lda, b, ldb, q, ldq, z, ldz, j1, n1, n2, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_stgexc "BLAS_FUNC(stgexc)"(bint *wantq, bint *wantz, int *n, s *a, int *lda, s *b, int *ldb, s *q, int *ldq, s *z, int *ldz, int *ifst, int *ilst, s *work, int *lwork, int *info) nogil
cdef void stgexc(bint *wantq, bint *wantz, int *n, s *a, int *lda, s *b, int *ldb, s *q, int *ldq, s *z, int *ldz, int *ifst, int *ilst, s *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_stgexc(wantq, wantz, n, a, lda, b, ldb, q, ldq, z, ldz, ifst, ilst, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_stgsen "BLAS_FUNC(stgsen)"(int *ijob, bint *wantq, bint *wantz, bint *select, int *n, s *a, int *lda, s *b, int *ldb, s *alphar, s *alphai, s *beta, s *q, int *ldq, s *z, int *ldz, int *m, s *pl, s *pr, s *dif, s *work, int *lwork, int *iwork, int *liwork, int *info) nogil
cdef void stgsen(int *ijob, bint *wantq, bint *wantz, bint *select, int *n, s *a, int *lda, s *b, int *ldb, s *alphar, s *alphai, s *beta, s *q, int *ldq, s *z, int *ldz, int *m, s *pl, s *pr, s *dif, s *work, int *lwork, int *iwork, int *liwork, int *info) noexcept nogil:
    
    _fortran_stgsen(ijob, wantq, wantz, select, n, a, lda, b, ldb, alphar, alphai, beta, q, ldq, z, ldz, m, pl, pr, dif, work, lwork, iwork, liwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_stgsja "BLAS_FUNC(stgsja)"(char *jobu, char *jobv, char *jobq, int *m, int *p, int *n, int *k, int *l, s *a, int *lda, s *b, int *ldb, s *tola, s *tolb, s *alpha, s *beta, s *u, int *ldu, s *v, int *ldv, s *q, int *ldq, s *work, int *ncycle, int *info) nogil
cdef void stgsja(char *jobu, char *jobv, char *jobq, int *m, int *p, int *n, int *k, int *l, s *a, int *lda, s *b, int *ldb, s *tola, s *tolb, s *alpha, s *beta, s *u, int *ldu, s *v, int *ldv, s *q, int *ldq, s *work, int *ncycle, int *info) noexcept nogil:
    
    _fortran_stgsja(jobu, jobv, jobq, m, p, n, k, l, a, lda, b, ldb, tola, tolb, alpha, beta, u, ldu, v, ldv, q, ldq, work, ncycle, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_stgsna "BLAS_FUNC(stgsna)"(char *job, char *howmny, bint *select, int *n, s *a, int *lda, s *b, int *ldb, s *vl, int *ldvl, s *vr, int *ldvr, s *s, s *dif, int *mm, int *m, s *work, int *lwork, int *iwork, int *info) nogil
cdef void stgsna(char *job, char *howmny, bint *select, int *n, s *a, int *lda, s *b, int *ldb, s *vl, int *ldvl, s *vr, int *ldvr, s *s, s *dif, int *mm, int *m, s *work, int *lwork, int *iwork, int *info) noexcept nogil:
    
    _fortran_stgsna(job, howmny, select, n, a, lda, b, ldb, vl, ldvl, vr, ldvr, s, dif, mm, m, work, lwork, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_stgsy2 "BLAS_FUNC(stgsy2)"(char *trans, int *ijob, int *m, int *n, s *a, int *lda, s *b, int *ldb, s *c, int *ldc, s *d, int *ldd, s *e, int *lde, s *f, int *ldf, s *scale, s *rdsum, s *rdscal, int *iwork, int *pq, int *info) nogil
cdef void stgsy2(char *trans, int *ijob, int *m, int *n, s *a, int *lda, s *b, int *ldb, s *c, int *ldc, s *d, int *ldd, s *e, int *lde, s *f, int *ldf, s *scale, s *rdsum, s *rdscal, int *iwork, int *pq, int *info) noexcept nogil:
    
    _fortran_stgsy2(trans, ijob, m, n, a, lda, b, ldb, c, ldc, d, ldd, e, lde, f, ldf, scale, rdsum, rdscal, iwork, pq, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_stgsyl "BLAS_FUNC(stgsyl)"(char *trans, int *ijob, int *m, int *n, s *a, int *lda, s *b, int *ldb, s *c, int *ldc, s *d, int *ldd, s *e, int *lde, s *f, int *ldf, s *scale, s *dif, s *work, int *lwork, int *iwork, int *info) nogil
cdef void stgsyl(char *trans, int *ijob, int *m, int *n, s *a, int *lda, s *b, int *ldb, s *c, int *ldc, s *d, int *ldd, s *e, int *lde, s *f, int *ldf, s *scale, s *dif, s *work, int *lwork, int *iwork, int *info) noexcept nogil:
    
    _fortran_stgsyl(trans, ijob, m, n, a, lda, b, ldb, c, ldc, d, ldd, e, lde, f, ldf, scale, dif, work, lwork, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_stpcon "BLAS_FUNC(stpcon)"(char *norm, char *uplo, char *diag, int *n, s *ap, s *rcond, s *work, int *iwork, int *info) nogil
cdef void stpcon(char *norm, char *uplo, char *diag, int *n, s *ap, s *rcond, s *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_stpcon(norm, uplo, diag, n, ap, rcond, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_stpmqrt "BLAS_FUNC(stpmqrt)"(char *side, char *trans, int *m, int *n, int *k, int *l, int *nb, s *v, int *ldv, s *t, int *ldt, s *a, int *lda, s *b, int *ldb, s *work, int *info) nogil
cdef void stpmqrt(char *side, char *trans, int *m, int *n, int *k, int *l, int *nb, s *v, int *ldv, s *t, int *ldt, s *a, int *lda, s *b, int *ldb, s *work, int *info) noexcept nogil:
    
    _fortran_stpmqrt(side, trans, m, n, k, l, nb, v, ldv, t, ldt, a, lda, b, ldb, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_stpqrt "BLAS_FUNC(stpqrt)"(int *m, int *n, int *l, int *nb, s *a, int *lda, s *b, int *ldb, s *t, int *ldt, s *work, int *info) nogil
cdef void stpqrt(int *m, int *n, int *l, int *nb, s *a, int *lda, s *b, int *ldb, s *t, int *ldt, s *work, int *info) noexcept nogil:
    
    _fortran_stpqrt(m, n, l, nb, a, lda, b, ldb, t, ldt, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_stpqrt2 "BLAS_FUNC(stpqrt2)"(int *m, int *n, int *l, s *a, int *lda, s *b, int *ldb, s *t, int *ldt, int *info) nogil
cdef void stpqrt2(int *m, int *n, int *l, s *a, int *lda, s *b, int *ldb, s *t, int *ldt, int *info) noexcept nogil:
    
    _fortran_stpqrt2(m, n, l, a, lda, b, ldb, t, ldt, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_stprfb "BLAS_FUNC(stprfb)"(char *side, char *trans, char *direct, char *storev, int *m, int *n, int *k, int *l, s *v, int *ldv, s *t, int *ldt, s *a, int *lda, s *b, int *ldb, s *work, int *ldwork) nogil
cdef void stprfb(char *side, char *trans, char *direct, char *storev, int *m, int *n, int *k, int *l, s *v, int *ldv, s *t, int *ldt, s *a, int *lda, s *b, int *ldb, s *work, int *ldwork) noexcept nogil:
    
    _fortran_stprfb(side, trans, direct, storev, m, n, k, l, v, ldv, t, ldt, a, lda, b, ldb, work, ldwork)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_stprfs "BLAS_FUNC(stprfs)"(char *uplo, char *trans, char *diag, int *n, int *nrhs, s *ap, s *b, int *ldb, s *x, int *ldx, s *ferr, s *berr, s *work, int *iwork, int *info) nogil
cdef void stprfs(char *uplo, char *trans, char *diag, int *n, int *nrhs, s *ap, s *b, int *ldb, s *x, int *ldx, s *ferr, s *berr, s *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_stprfs(uplo, trans, diag, n, nrhs, ap, b, ldb, x, ldx, ferr, berr, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_stptri "BLAS_FUNC(stptri)"(char *uplo, char *diag, int *n, s *ap, int *info) nogil
cdef void stptri(char *uplo, char *diag, int *n, s *ap, int *info) noexcept nogil:
    
    _fortran_stptri(uplo, diag, n, ap, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_stptrs "BLAS_FUNC(stptrs)"(char *uplo, char *trans, char *diag, int *n, int *nrhs, s *ap, s *b, int *ldb, int *info) nogil
cdef void stptrs(char *uplo, char *trans, char *diag, int *n, int *nrhs, s *ap, s *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_stptrs(uplo, trans, diag, n, nrhs, ap, b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_stpttf "BLAS_FUNC(stpttf)"(char *transr, char *uplo, int *n, s *ap, s *arf, int *info) nogil
cdef void stpttf(char *transr, char *uplo, int *n, s *ap, s *arf, int *info) noexcept nogil:
    
    _fortran_stpttf(transr, uplo, n, ap, arf, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_stpttr "BLAS_FUNC(stpttr)"(char *uplo, int *n, s *ap, s *a, int *lda, int *info) nogil
cdef void stpttr(char *uplo, int *n, s *ap, s *a, int *lda, int *info) noexcept nogil:
    
    _fortran_stpttr(uplo, n, ap, a, lda, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_strcon "BLAS_FUNC(strcon)"(char *norm, char *uplo, char *diag, int *n, s *a, int *lda, s *rcond, s *work, int *iwork, int *info) nogil
cdef void strcon(char *norm, char *uplo, char *diag, int *n, s *a, int *lda, s *rcond, s *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_strcon(norm, uplo, diag, n, a, lda, rcond, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_strevc "BLAS_FUNC(strevc)"(char *side, char *howmny, bint *select, int *n, s *t, int *ldt, s *vl, int *ldvl, s *vr, int *ldvr, int *mm, int *m, s *work, int *info) nogil
cdef void strevc(char *side, char *howmny, bint *select, int *n, s *t, int *ldt, s *vl, int *ldvl, s *vr, int *ldvr, int *mm, int *m, s *work, int *info) noexcept nogil:
    
    _fortran_strevc(side, howmny, select, n, t, ldt, vl, ldvl, vr, ldvr, mm, m, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_strexc "BLAS_FUNC(strexc)"(char *compq, int *n, s *t, int *ldt, s *q, int *ldq, int *ifst, int *ilst, s *work, int *info) nogil
cdef void strexc(char *compq, int *n, s *t, int *ldt, s *q, int *ldq, int *ifst, int *ilst, s *work, int *info) noexcept nogil:
    
    _fortran_strexc(compq, n, t, ldt, q, ldq, ifst, ilst, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_strrfs "BLAS_FUNC(strrfs)"(char *uplo, char *trans, char *diag, int *n, int *nrhs, s *a, int *lda, s *b, int *ldb, s *x, int *ldx, s *ferr, s *berr, s *work, int *iwork, int *info) nogil
cdef void strrfs(char *uplo, char *trans, char *diag, int *n, int *nrhs, s *a, int *lda, s *b, int *ldb, s *x, int *ldx, s *ferr, s *berr, s *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_strrfs(uplo, trans, diag, n, nrhs, a, lda, b, ldb, x, ldx, ferr, berr, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_strsen "BLAS_FUNC(strsen)"(char *job, char *compq, bint *select, int *n, s *t, int *ldt, s *q, int *ldq, s *wr, s *wi, int *m, s *s, s *sep, s *work, int *lwork, int *iwork, int *liwork, int *info) nogil
cdef void strsen(char *job, char *compq, bint *select, int *n, s *t, int *ldt, s *q, int *ldq, s *wr, s *wi, int *m, s *s, s *sep, s *work, int *lwork, int *iwork, int *liwork, int *info) noexcept nogil:
    
    _fortran_strsen(job, compq, select, n, t, ldt, q, ldq, wr, wi, m, s, sep, work, lwork, iwork, liwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_strsna "BLAS_FUNC(strsna)"(char *job, char *howmny, bint *select, int *n, s *t, int *ldt, s *vl, int *ldvl, s *vr, int *ldvr, s *s, s *sep, int *mm, int *m, s *work, int *ldwork, int *iwork, int *info) nogil
cdef void strsna(char *job, char *howmny, bint *select, int *n, s *t, int *ldt, s *vl, int *ldvl, s *vr, int *ldvr, s *s, s *sep, int *mm, int *m, s *work, int *ldwork, int *iwork, int *info) noexcept nogil:
    
    _fortran_strsna(job, howmny, select, n, t, ldt, vl, ldvl, vr, ldvr, s, sep, mm, m, work, ldwork, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_strsyl "BLAS_FUNC(strsyl)"(char *trana, char *tranb, int *isgn, int *m, int *n, s *a, int *lda, s *b, int *ldb, s *c, int *ldc, s *scale, int *info) nogil
cdef void strsyl(char *trana, char *tranb, int *isgn, int *m, int *n, s *a, int *lda, s *b, int *ldb, s *c, int *ldc, s *scale, int *info) noexcept nogil:
    
    _fortran_strsyl(trana, tranb, isgn, m, n, a, lda, b, ldb, c, ldc, scale, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_strti2 "BLAS_FUNC(strti2)"(char *uplo, char *diag, int *n, s *a, int *lda, int *info) nogil
cdef void strti2(char *uplo, char *diag, int *n, s *a, int *lda, int *info) noexcept nogil:
    
    _fortran_strti2(uplo, diag, n, a, lda, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_strtri "BLAS_FUNC(strtri)"(char *uplo, char *diag, int *n, s *a, int *lda, int *info) nogil
cdef void strtri(char *uplo, char *diag, int *n, s *a, int *lda, int *info) noexcept nogil:
    
    _fortran_strtri(uplo, diag, n, a, lda, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_strtrs "BLAS_FUNC(strtrs)"(char *uplo, char *trans, char *diag, int *n, int *nrhs, s *a, int *lda, s *b, int *ldb, int *info) nogil
cdef void strtrs(char *uplo, char *trans, char *diag, int *n, int *nrhs, s *a, int *lda, s *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_strtrs(uplo, trans, diag, n, nrhs, a, lda, b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_strttf "BLAS_FUNC(strttf)"(char *transr, char *uplo, int *n, s *a, int *lda, s *arf, int *info) nogil
cdef void strttf(char *transr, char *uplo, int *n, s *a, int *lda, s *arf, int *info) noexcept nogil:
    
    _fortran_strttf(transr, uplo, n, a, lda, arf, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_strttp "BLAS_FUNC(strttp)"(char *uplo, int *n, s *a, int *lda, s *ap, int *info) nogil
cdef void strttp(char *uplo, int *n, s *a, int *lda, s *ap, int *info) noexcept nogil:
    
    _fortran_strttp(uplo, n, a, lda, ap, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_stzrzf "BLAS_FUNC(stzrzf)"(int *m, int *n, s *a, int *lda, s *tau, s *work, int *lwork, int *info) nogil
cdef void stzrzf(int *m, int *n, s *a, int *lda, s *tau, s *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_stzrzf(m, n, a, lda, tau, work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_xerbla_array "(xerbla_array__)"(char *srname_array, int *srname_len, int *info) nogil
cdef void xerbla_array(char *srname_array, int *srname_len, int *info) noexcept nogil:
    
    _fortran_xerbla_array(srname_array, srname_len, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zbbcsd "BLAS_FUNC(zbbcsd)"(char *jobu1, char *jobu2, char *jobv1t, char *jobv2t, char *trans, int *m, int *p, int *q, d *theta, d *phi, npy_complex128 *u1, int *ldu1, npy_complex128 *u2, int *ldu2, npy_complex128 *v1t, int *ldv1t, npy_complex128 *v2t, int *ldv2t, d *b11d, d *b11e, d *b12d, d *b12e, d *b21d, d *b21e, d *b22d, d *b22e, d *rwork, int *lrwork, int *info) nogil
cdef void zbbcsd(char *jobu1, char *jobu2, char *jobv1t, char *jobv2t, char *trans, int *m, int *p, int *q, d *theta, d *phi, z *u1, int *ldu1, z *u2, int *ldu2, z *v1t, int *ldv1t, z *v2t, int *ldv2t, d *b11d, d *b11e, d *b12d, d *b12e, d *b21d, d *b21e, d *b22d, d *b22e, d *rwork, int *lrwork, int *info) noexcept nogil:
    
    _fortran_zbbcsd(jobu1, jobu2, jobv1t, jobv2t, trans, m, p, q, theta, phi, <npy_complex128*>u1, ldu1, <npy_complex128*>u2, ldu2, <npy_complex128*>v1t, ldv1t, <npy_complex128*>v2t, ldv2t, b11d, b11e, b12d, b12e, b21d, b21e, b22d, b22e, rwork, lrwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zbdsqr "BLAS_FUNC(zbdsqr)"(char *uplo, int *n, int *ncvt, int *nru, int *ncc, d *d, d *e, npy_complex128 *vt, int *ldvt, npy_complex128 *u, int *ldu, npy_complex128 *c, int *ldc, d *rwork, int *info) nogil
cdef void zbdsqr(char *uplo, int *n, int *ncvt, int *nru, int *ncc, d *d, d *e, z *vt, int *ldvt, z *u, int *ldu, z *c, int *ldc, d *rwork, int *info) noexcept nogil:
    
    _fortran_zbdsqr(uplo, n, ncvt, nru, ncc, d, e, <npy_complex128*>vt, ldvt, <npy_complex128*>u, ldu, <npy_complex128*>c, ldc, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zcgesv "BLAS_FUNC(zcgesv)"(int *n, int *nrhs, npy_complex128 *a, int *lda, int *ipiv, npy_complex128 *b, int *ldb, npy_complex128 *x, int *ldx, npy_complex128 *work, npy_complex64 *swork, d *rwork, int *iter, int *info) nogil
cdef void zcgesv(int *n, int *nrhs, z *a, int *lda, int *ipiv, z *b, int *ldb, z *x, int *ldx, z *work, c *swork, d *rwork, int *iter, int *info) noexcept nogil:
    
    _fortran_zcgesv(n, nrhs, <npy_complex128*>a, lda, ipiv, <npy_complex128*>b, ldb, <npy_complex128*>x, ldx, <npy_complex128*>work, <npy_complex64*>swork, rwork, iter, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zcposv "BLAS_FUNC(zcposv)"(char *uplo, int *n, int *nrhs, npy_complex128 *a, int *lda, npy_complex128 *b, int *ldb, npy_complex128 *x, int *ldx, npy_complex128 *work, npy_complex64 *swork, d *rwork, int *iter, int *info) nogil
cdef void zcposv(char *uplo, int *n, int *nrhs, z *a, int *lda, z *b, int *ldb, z *x, int *ldx, z *work, c *swork, d *rwork, int *iter, int *info) noexcept nogil:
    
    _fortran_zcposv(uplo, n, nrhs, <npy_complex128*>a, lda, <npy_complex128*>b, ldb, <npy_complex128*>x, ldx, <npy_complex128*>work, <npy_complex64*>swork, rwork, iter, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zdrscl "BLAS_FUNC(zdrscl)"(int *n, d *sa, npy_complex128 *sx, int *incx) nogil
cdef void zdrscl(int *n, d *sa, z *sx, int *incx) noexcept nogil:
    
    _fortran_zdrscl(n, sa, <npy_complex128*>sx, incx)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zgbbrd "BLAS_FUNC(zgbbrd)"(char *vect, int *m, int *n, int *ncc, int *kl, int *ku, npy_complex128 *ab, int *ldab, d *d, d *e, npy_complex128 *q, int *ldq, npy_complex128 *pt, int *ldpt, npy_complex128 *c, int *ldc, npy_complex128 *work, d *rwork, int *info) nogil
cdef void zgbbrd(char *vect, int *m, int *n, int *ncc, int *kl, int *ku, z *ab, int *ldab, d *d, d *e, z *q, int *ldq, z *pt, int *ldpt, z *c, int *ldc, z *work, d *rwork, int *info) noexcept nogil:
    
    _fortran_zgbbrd(vect, m, n, ncc, kl, ku, <npy_complex128*>ab, ldab, d, e, <npy_complex128*>q, ldq, <npy_complex128*>pt, ldpt, <npy_complex128*>c, ldc, <npy_complex128*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zgbcon "BLAS_FUNC(zgbcon)"(char *norm, int *n, int *kl, int *ku, npy_complex128 *ab, int *ldab, int *ipiv, d *anorm, d *rcond, npy_complex128 *work, d *rwork, int *info) nogil
cdef void zgbcon(char *norm, int *n, int *kl, int *ku, z *ab, int *ldab, int *ipiv, d *anorm, d *rcond, z *work, d *rwork, int *info) noexcept nogil:
    
    _fortran_zgbcon(norm, n, kl, ku, <npy_complex128*>ab, ldab, ipiv, anorm, rcond, <npy_complex128*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zgbequ "BLAS_FUNC(zgbequ)"(int *m, int *n, int *kl, int *ku, npy_complex128 *ab, int *ldab, d *r, d *c, d *rowcnd, d *colcnd, d *amax, int *info) nogil
cdef void zgbequ(int *m, int *n, int *kl, int *ku, z *ab, int *ldab, d *r, d *c, d *rowcnd, d *colcnd, d *amax, int *info) noexcept nogil:
    
    _fortran_zgbequ(m, n, kl, ku, <npy_complex128*>ab, ldab, r, c, rowcnd, colcnd, amax, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zgbequb "BLAS_FUNC(zgbequb)"(int *m, int *n, int *kl, int *ku, npy_complex128 *ab, int *ldab, d *r, d *c, d *rowcnd, d *colcnd, d *amax, int *info) nogil
cdef void zgbequb(int *m, int *n, int *kl, int *ku, z *ab, int *ldab, d *r, d *c, d *rowcnd, d *colcnd, d *amax, int *info) noexcept nogil:
    
    _fortran_zgbequb(m, n, kl, ku, <npy_complex128*>ab, ldab, r, c, rowcnd, colcnd, amax, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zgbrfs "BLAS_FUNC(zgbrfs)"(char *trans, int *n, int *kl, int *ku, int *nrhs, npy_complex128 *ab, int *ldab, npy_complex128 *afb, int *ldafb, int *ipiv, npy_complex128 *b, int *ldb, npy_complex128 *x, int *ldx, d *ferr, d *berr, npy_complex128 *work, d *rwork, int *info) nogil
cdef void zgbrfs(char *trans, int *n, int *kl, int *ku, int *nrhs, z *ab, int *ldab, z *afb, int *ldafb, int *ipiv, z *b, int *ldb, z *x, int *ldx, d *ferr, d *berr, z *work, d *rwork, int *info) noexcept nogil:
    
    _fortran_zgbrfs(trans, n, kl, ku, nrhs, <npy_complex128*>ab, ldab, <npy_complex128*>afb, ldafb, ipiv, <npy_complex128*>b, ldb, <npy_complex128*>x, ldx, ferr, berr, <npy_complex128*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zgbsv "BLAS_FUNC(zgbsv)"(int *n, int *kl, int *ku, int *nrhs, npy_complex128 *ab, int *ldab, int *ipiv, npy_complex128 *b, int *ldb, int *info) nogil
cdef void zgbsv(int *n, int *kl, int *ku, int *nrhs, z *ab, int *ldab, int *ipiv, z *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_zgbsv(n, kl, ku, nrhs, <npy_complex128*>ab, ldab, ipiv, <npy_complex128*>b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zgbsvx "BLAS_FUNC(zgbsvx)"(char *fact, char *trans, int *n, int *kl, int *ku, int *nrhs, npy_complex128 *ab, int *ldab, npy_complex128 *afb, int *ldafb, int *ipiv, char *equed, d *r, d *c, npy_complex128 *b, int *ldb, npy_complex128 *x, int *ldx, d *rcond, d *ferr, d *berr, npy_complex128 *work, d *rwork, int *info) nogil
cdef void zgbsvx(char *fact, char *trans, int *n, int *kl, int *ku, int *nrhs, z *ab, int *ldab, z *afb, int *ldafb, int *ipiv, char *equed, d *r, d *c, z *b, int *ldb, z *x, int *ldx, d *rcond, d *ferr, d *berr, z *work, d *rwork, int *info) noexcept nogil:
    
    _fortran_zgbsvx(fact, trans, n, kl, ku, nrhs, <npy_complex128*>ab, ldab, <npy_complex128*>afb, ldafb, ipiv, equed, r, c, <npy_complex128*>b, ldb, <npy_complex128*>x, ldx, rcond, ferr, berr, <npy_complex128*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zgbtf2 "BLAS_FUNC(zgbtf2)"(int *m, int *n, int *kl, int *ku, npy_complex128 *ab, int *ldab, int *ipiv, int *info) nogil
cdef void zgbtf2(int *m, int *n, int *kl, int *ku, z *ab, int *ldab, int *ipiv, int *info) noexcept nogil:
    
    _fortran_zgbtf2(m, n, kl, ku, <npy_complex128*>ab, ldab, ipiv, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zgbtrf "BLAS_FUNC(zgbtrf)"(int *m, int *n, int *kl, int *ku, npy_complex128 *ab, int *ldab, int *ipiv, int *info) nogil
cdef void zgbtrf(int *m, int *n, int *kl, int *ku, z *ab, int *ldab, int *ipiv, int *info) noexcept nogil:
    
    _fortran_zgbtrf(m, n, kl, ku, <npy_complex128*>ab, ldab, ipiv, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zgbtrs "BLAS_FUNC(zgbtrs)"(char *trans, int *n, int *kl, int *ku, int *nrhs, npy_complex128 *ab, int *ldab, int *ipiv, npy_complex128 *b, int *ldb, int *info) nogil
cdef void zgbtrs(char *trans, int *n, int *kl, int *ku, int *nrhs, z *ab, int *ldab, int *ipiv, z *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_zgbtrs(trans, n, kl, ku, nrhs, <npy_complex128*>ab, ldab, ipiv, <npy_complex128*>b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zgebak "BLAS_FUNC(zgebak)"(char *job, char *side, int *n, int *ilo, int *ihi, d *scale, int *m, npy_complex128 *v, int *ldv, int *info) nogil
cdef void zgebak(char *job, char *side, int *n, int *ilo, int *ihi, d *scale, int *m, z *v, int *ldv, int *info) noexcept nogil:
    
    _fortran_zgebak(job, side, n, ilo, ihi, scale, m, <npy_complex128*>v, ldv, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zgebal "BLAS_FUNC(zgebal)"(char *job, int *n, npy_complex128 *a, int *lda, int *ilo, int *ihi, d *scale, int *info) nogil
cdef void zgebal(char *job, int *n, z *a, int *lda, int *ilo, int *ihi, d *scale, int *info) noexcept nogil:
    
    _fortran_zgebal(job, n, <npy_complex128*>a, lda, ilo, ihi, scale, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zgebd2 "BLAS_FUNC(zgebd2)"(int *m, int *n, npy_complex128 *a, int *lda, d *d, d *e, npy_complex128 *tauq, npy_complex128 *taup, npy_complex128 *work, int *info) nogil
cdef void zgebd2(int *m, int *n, z *a, int *lda, d *d, d *e, z *tauq, z *taup, z *work, int *info) noexcept nogil:
    
    _fortran_zgebd2(m, n, <npy_complex128*>a, lda, d, e, <npy_complex128*>tauq, <npy_complex128*>taup, <npy_complex128*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zgebrd "BLAS_FUNC(zgebrd)"(int *m, int *n, npy_complex128 *a, int *lda, d *d, d *e, npy_complex128 *tauq, npy_complex128 *taup, npy_complex128 *work, int *lwork, int *info) nogil
cdef void zgebrd(int *m, int *n, z *a, int *lda, d *d, d *e, z *tauq, z *taup, z *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_zgebrd(m, n, <npy_complex128*>a, lda, d, e, <npy_complex128*>tauq, <npy_complex128*>taup, <npy_complex128*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zgecon "BLAS_FUNC(zgecon)"(char *norm, int *n, npy_complex128 *a, int *lda, d *anorm, d *rcond, npy_complex128 *work, d *rwork, int *info) nogil
cdef void zgecon(char *norm, int *n, z *a, int *lda, d *anorm, d *rcond, z *work, d *rwork, int *info) noexcept nogil:
    
    _fortran_zgecon(norm, n, <npy_complex128*>a, lda, anorm, rcond, <npy_complex128*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zgeequ "BLAS_FUNC(zgeequ)"(int *m, int *n, npy_complex128 *a, int *lda, d *r, d *c, d *rowcnd, d *colcnd, d *amax, int *info) nogil
cdef void zgeequ(int *m, int *n, z *a, int *lda, d *r, d *c, d *rowcnd, d *colcnd, d *amax, int *info) noexcept nogil:
    
    _fortran_zgeequ(m, n, <npy_complex128*>a, lda, r, c, rowcnd, colcnd, amax, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zgeequb "BLAS_FUNC(zgeequb)"(int *m, int *n, npy_complex128 *a, int *lda, d *r, d *c, d *rowcnd, d *colcnd, d *amax, int *info) nogil
cdef void zgeequb(int *m, int *n, z *a, int *lda, d *r, d *c, d *rowcnd, d *colcnd, d *amax, int *info) noexcept nogil:
    
    _fortran_zgeequb(m, n, <npy_complex128*>a, lda, r, c, rowcnd, colcnd, amax, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zgees "BLAS_FUNC(zgees)"(char *jobvs, char *sort, _zselect1 *select, int *n, npy_complex128 *a, int *lda, int *sdim, npy_complex128 *w, npy_complex128 *vs, int *ldvs, npy_complex128 *work, int *lwork, d *rwork, bint *bwork, int *info) nogil
cdef void zgees(char *jobvs, char *sort, zselect1 *select, int *n, z *a, int *lda, int *sdim, z *w, z *vs, int *ldvs, z *work, int *lwork, d *rwork, bint *bwork, int *info) noexcept nogil:
    
    _fortran_zgees(jobvs, sort, <_zselect1*>select, n, <npy_complex128*>a, lda, sdim, <npy_complex128*>w, <npy_complex128*>vs, ldvs, <npy_complex128*>work, lwork, rwork, bwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zgeesx "BLAS_FUNC(zgeesx)"(char *jobvs, char *sort, _zselect1 *select, char *sense, int *n, npy_complex128 *a, int *lda, int *sdim, npy_complex128 *w, npy_complex128 *vs, int *ldvs, d *rconde, d *rcondv, npy_complex128 *work, int *lwork, d *rwork, bint *bwork, int *info) nogil
cdef void zgeesx(char *jobvs, char *sort, zselect1 *select, char *sense, int *n, z *a, int *lda, int *sdim, z *w, z *vs, int *ldvs, d *rconde, d *rcondv, z *work, int *lwork, d *rwork, bint *bwork, int *info) noexcept nogil:
    
    _fortran_zgeesx(jobvs, sort, <_zselect1*>select, sense, n, <npy_complex128*>a, lda, sdim, <npy_complex128*>w, <npy_complex128*>vs, ldvs, rconde, rcondv, <npy_complex128*>work, lwork, rwork, bwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zgeev "BLAS_FUNC(zgeev)"(char *jobvl, char *jobvr, int *n, npy_complex128 *a, int *lda, npy_complex128 *w, npy_complex128 *vl, int *ldvl, npy_complex128 *vr, int *ldvr, npy_complex128 *work, int *lwork, d *rwork, int *info) nogil
cdef void zgeev(char *jobvl, char *jobvr, int *n, z *a, int *lda, z *w, z *vl, int *ldvl, z *vr, int *ldvr, z *work, int *lwork, d *rwork, int *info) noexcept nogil:
    
    _fortran_zgeev(jobvl, jobvr, n, <npy_complex128*>a, lda, <npy_complex128*>w, <npy_complex128*>vl, ldvl, <npy_complex128*>vr, ldvr, <npy_complex128*>work, lwork, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zgeevx "BLAS_FUNC(zgeevx)"(char *balanc, char *jobvl, char *jobvr, char *sense, int *n, npy_complex128 *a, int *lda, npy_complex128 *w, npy_complex128 *vl, int *ldvl, npy_complex128 *vr, int *ldvr, int *ilo, int *ihi, d *scale, d *abnrm, d *rconde, d *rcondv, npy_complex128 *work, int *lwork, d *rwork, int *info) nogil
cdef void zgeevx(char *balanc, char *jobvl, char *jobvr, char *sense, int *n, z *a, int *lda, z *w, z *vl, int *ldvl, z *vr, int *ldvr, int *ilo, int *ihi, d *scale, d *abnrm, d *rconde, d *rcondv, z *work, int *lwork, d *rwork, int *info) noexcept nogil:
    
    _fortran_zgeevx(balanc, jobvl, jobvr, sense, n, <npy_complex128*>a, lda, <npy_complex128*>w, <npy_complex128*>vl, ldvl, <npy_complex128*>vr, ldvr, ilo, ihi, scale, abnrm, rconde, rcondv, <npy_complex128*>work, lwork, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zgehd2 "BLAS_FUNC(zgehd2)"(int *n, int *ilo, int *ihi, npy_complex128 *a, int *lda, npy_complex128 *tau, npy_complex128 *work, int *info) nogil
cdef void zgehd2(int *n, int *ilo, int *ihi, z *a, int *lda, z *tau, z *work, int *info) noexcept nogil:
    
    _fortran_zgehd2(n, ilo, ihi, <npy_complex128*>a, lda, <npy_complex128*>tau, <npy_complex128*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zgehrd "BLAS_FUNC(zgehrd)"(int *n, int *ilo, int *ihi, npy_complex128 *a, int *lda, npy_complex128 *tau, npy_complex128 *work, int *lwork, int *info) nogil
cdef void zgehrd(int *n, int *ilo, int *ihi, z *a, int *lda, z *tau, z *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_zgehrd(n, ilo, ihi, <npy_complex128*>a, lda, <npy_complex128*>tau, <npy_complex128*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zgelq2 "BLAS_FUNC(zgelq2)"(int *m, int *n, npy_complex128 *a, int *lda, npy_complex128 *tau, npy_complex128 *work, int *info) nogil
cdef void zgelq2(int *m, int *n, z *a, int *lda, z *tau, z *work, int *info) noexcept nogil:
    
    _fortran_zgelq2(m, n, <npy_complex128*>a, lda, <npy_complex128*>tau, <npy_complex128*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zgelqf "BLAS_FUNC(zgelqf)"(int *m, int *n, npy_complex128 *a, int *lda, npy_complex128 *tau, npy_complex128 *work, int *lwork, int *info) nogil
cdef void zgelqf(int *m, int *n, z *a, int *lda, z *tau, z *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_zgelqf(m, n, <npy_complex128*>a, lda, <npy_complex128*>tau, <npy_complex128*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zgels "BLAS_FUNC(zgels)"(char *trans, int *m, int *n, int *nrhs, npy_complex128 *a, int *lda, npy_complex128 *b, int *ldb, npy_complex128 *work, int *lwork, int *info) nogil
cdef void zgels(char *trans, int *m, int *n, int *nrhs, z *a, int *lda, z *b, int *ldb, z *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_zgels(trans, m, n, nrhs, <npy_complex128*>a, lda, <npy_complex128*>b, ldb, <npy_complex128*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zgelsd "BLAS_FUNC(zgelsd)"(int *m, int *n, int *nrhs, npy_complex128 *a, int *lda, npy_complex128 *b, int *ldb, d *s, d *rcond, int *rank, npy_complex128 *work, int *lwork, d *rwork, int *iwork, int *info) nogil
cdef void zgelsd(int *m, int *n, int *nrhs, z *a, int *lda, z *b, int *ldb, d *s, d *rcond, int *rank, z *work, int *lwork, d *rwork, int *iwork, int *info) noexcept nogil:
    
    _fortran_zgelsd(m, n, nrhs, <npy_complex128*>a, lda, <npy_complex128*>b, ldb, s, rcond, rank, <npy_complex128*>work, lwork, rwork, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zgelss "BLAS_FUNC(zgelss)"(int *m, int *n, int *nrhs, npy_complex128 *a, int *lda, npy_complex128 *b, int *ldb, d *s, d *rcond, int *rank, npy_complex128 *work, int *lwork, d *rwork, int *info) nogil
cdef void zgelss(int *m, int *n, int *nrhs, z *a, int *lda, z *b, int *ldb, d *s, d *rcond, int *rank, z *work, int *lwork, d *rwork, int *info) noexcept nogil:
    
    _fortran_zgelss(m, n, nrhs, <npy_complex128*>a, lda, <npy_complex128*>b, ldb, s, rcond, rank, <npy_complex128*>work, lwork, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zgelsy "BLAS_FUNC(zgelsy)"(int *m, int *n, int *nrhs, npy_complex128 *a, int *lda, npy_complex128 *b, int *ldb, int *jpvt, d *rcond, int *rank, npy_complex128 *work, int *lwork, d *rwork, int *info) nogil
cdef void zgelsy(int *m, int *n, int *nrhs, z *a, int *lda, z *b, int *ldb, int *jpvt, d *rcond, int *rank, z *work, int *lwork, d *rwork, int *info) noexcept nogil:
    
    _fortran_zgelsy(m, n, nrhs, <npy_complex128*>a, lda, <npy_complex128*>b, ldb, jpvt, rcond, rank, <npy_complex128*>work, lwork, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zgemqrt "BLAS_FUNC(zgemqrt)"(char *side, char *trans, int *m, int *n, int *k, int *nb, npy_complex128 *v, int *ldv, npy_complex128 *t, int *ldt, npy_complex128 *c, int *ldc, npy_complex128 *work, int *info) nogil
cdef void zgemqrt(char *side, char *trans, int *m, int *n, int *k, int *nb, z *v, int *ldv, z *t, int *ldt, z *c, int *ldc, z *work, int *info) noexcept nogil:
    
    _fortran_zgemqrt(side, trans, m, n, k, nb, <npy_complex128*>v, ldv, <npy_complex128*>t, ldt, <npy_complex128*>c, ldc, <npy_complex128*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zgeql2 "BLAS_FUNC(zgeql2)"(int *m, int *n, npy_complex128 *a, int *lda, npy_complex128 *tau, npy_complex128 *work, int *info) nogil
cdef void zgeql2(int *m, int *n, z *a, int *lda, z *tau, z *work, int *info) noexcept nogil:
    
    _fortran_zgeql2(m, n, <npy_complex128*>a, lda, <npy_complex128*>tau, <npy_complex128*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zgeqlf "BLAS_FUNC(zgeqlf)"(int *m, int *n, npy_complex128 *a, int *lda, npy_complex128 *tau, npy_complex128 *work, int *lwork, int *info) nogil
cdef void zgeqlf(int *m, int *n, z *a, int *lda, z *tau, z *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_zgeqlf(m, n, <npy_complex128*>a, lda, <npy_complex128*>tau, <npy_complex128*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zgeqp3 "BLAS_FUNC(zgeqp3)"(int *m, int *n, npy_complex128 *a, int *lda, int *jpvt, npy_complex128 *tau, npy_complex128 *work, int *lwork, d *rwork, int *info) nogil
cdef void zgeqp3(int *m, int *n, z *a, int *lda, int *jpvt, z *tau, z *work, int *lwork, d *rwork, int *info) noexcept nogil:
    
    _fortran_zgeqp3(m, n, <npy_complex128*>a, lda, jpvt, <npy_complex128*>tau, <npy_complex128*>work, lwork, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zgeqr2 "BLAS_FUNC(zgeqr2)"(int *m, int *n, npy_complex128 *a, int *lda, npy_complex128 *tau, npy_complex128 *work, int *info) nogil
cdef void zgeqr2(int *m, int *n, z *a, int *lda, z *tau, z *work, int *info) noexcept nogil:
    
    _fortran_zgeqr2(m, n, <npy_complex128*>a, lda, <npy_complex128*>tau, <npy_complex128*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zgeqr2p "BLAS_FUNC(zgeqr2p)"(int *m, int *n, npy_complex128 *a, int *lda, npy_complex128 *tau, npy_complex128 *work, int *info) nogil
cdef void zgeqr2p(int *m, int *n, z *a, int *lda, z *tau, z *work, int *info) noexcept nogil:
    
    _fortran_zgeqr2p(m, n, <npy_complex128*>a, lda, <npy_complex128*>tau, <npy_complex128*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zgeqrf "BLAS_FUNC(zgeqrf)"(int *m, int *n, npy_complex128 *a, int *lda, npy_complex128 *tau, npy_complex128 *work, int *lwork, int *info) nogil
cdef void zgeqrf(int *m, int *n, z *a, int *lda, z *tau, z *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_zgeqrf(m, n, <npy_complex128*>a, lda, <npy_complex128*>tau, <npy_complex128*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zgeqrfp "BLAS_FUNC(zgeqrfp)"(int *m, int *n, npy_complex128 *a, int *lda, npy_complex128 *tau, npy_complex128 *work, int *lwork, int *info) nogil
cdef void zgeqrfp(int *m, int *n, z *a, int *lda, z *tau, z *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_zgeqrfp(m, n, <npy_complex128*>a, lda, <npy_complex128*>tau, <npy_complex128*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zgeqrt "BLAS_FUNC(zgeqrt)"(int *m, int *n, int *nb, npy_complex128 *a, int *lda, npy_complex128 *t, int *ldt, npy_complex128 *work, int *info) nogil
cdef void zgeqrt(int *m, int *n, int *nb, z *a, int *lda, z *t, int *ldt, z *work, int *info) noexcept nogil:
    
    _fortran_zgeqrt(m, n, nb, <npy_complex128*>a, lda, <npy_complex128*>t, ldt, <npy_complex128*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zgeqrt2 "BLAS_FUNC(zgeqrt2)"(int *m, int *n, npy_complex128 *a, int *lda, npy_complex128 *t, int *ldt, int *info) nogil
cdef void zgeqrt2(int *m, int *n, z *a, int *lda, z *t, int *ldt, int *info) noexcept nogil:
    
    _fortran_zgeqrt2(m, n, <npy_complex128*>a, lda, <npy_complex128*>t, ldt, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zgeqrt3 "BLAS_FUNC(zgeqrt3)"(int *m, int *n, npy_complex128 *a, int *lda, npy_complex128 *t, int *ldt, int *info) nogil
cdef void zgeqrt3(int *m, int *n, z *a, int *lda, z *t, int *ldt, int *info) noexcept nogil:
    
    _fortran_zgeqrt3(m, n, <npy_complex128*>a, lda, <npy_complex128*>t, ldt, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zgerfs "BLAS_FUNC(zgerfs)"(char *trans, int *n, int *nrhs, npy_complex128 *a, int *lda, npy_complex128 *af, int *ldaf, int *ipiv, npy_complex128 *b, int *ldb, npy_complex128 *x, int *ldx, d *ferr, d *berr, npy_complex128 *work, d *rwork, int *info) nogil
cdef void zgerfs(char *trans, int *n, int *nrhs, z *a, int *lda, z *af, int *ldaf, int *ipiv, z *b, int *ldb, z *x, int *ldx, d *ferr, d *berr, z *work, d *rwork, int *info) noexcept nogil:
    
    _fortran_zgerfs(trans, n, nrhs, <npy_complex128*>a, lda, <npy_complex128*>af, ldaf, ipiv, <npy_complex128*>b, ldb, <npy_complex128*>x, ldx, ferr, berr, <npy_complex128*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zgerq2 "BLAS_FUNC(zgerq2)"(int *m, int *n, npy_complex128 *a, int *lda, npy_complex128 *tau, npy_complex128 *work, int *info) nogil
cdef void zgerq2(int *m, int *n, z *a, int *lda, z *tau, z *work, int *info) noexcept nogil:
    
    _fortran_zgerq2(m, n, <npy_complex128*>a, lda, <npy_complex128*>tau, <npy_complex128*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zgerqf "BLAS_FUNC(zgerqf)"(int *m, int *n, npy_complex128 *a, int *lda, npy_complex128 *tau, npy_complex128 *work, int *lwork, int *info) nogil
cdef void zgerqf(int *m, int *n, z *a, int *lda, z *tau, z *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_zgerqf(m, n, <npy_complex128*>a, lda, <npy_complex128*>tau, <npy_complex128*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zgesc2 "BLAS_FUNC(zgesc2)"(int *n, npy_complex128 *a, int *lda, npy_complex128 *rhs, int *ipiv, int *jpiv, d *scale) nogil
cdef void zgesc2(int *n, z *a, int *lda, z *rhs, int *ipiv, int *jpiv, d *scale) noexcept nogil:
    
    _fortran_zgesc2(n, <npy_complex128*>a, lda, <npy_complex128*>rhs, ipiv, jpiv, scale)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zgesdd "BLAS_FUNC(zgesdd)"(char *jobz, int *m, int *n, npy_complex128 *a, int *lda, d *s, npy_complex128 *u, int *ldu, npy_complex128 *vt, int *ldvt, npy_complex128 *work, int *lwork, d *rwork, int *iwork, int *info) nogil
cdef void zgesdd(char *jobz, int *m, int *n, z *a, int *lda, d *s, z *u, int *ldu, z *vt, int *ldvt, z *work, int *lwork, d *rwork, int *iwork, int *info) noexcept nogil:
    
    _fortran_zgesdd(jobz, m, n, <npy_complex128*>a, lda, s, <npy_complex128*>u, ldu, <npy_complex128*>vt, ldvt, <npy_complex128*>work, lwork, rwork, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zgesv "BLAS_FUNC(zgesv)"(int *n, int *nrhs, npy_complex128 *a, int *lda, int *ipiv, npy_complex128 *b, int *ldb, int *info) nogil
cdef void zgesv(int *n, int *nrhs, z *a, int *lda, int *ipiv, z *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_zgesv(n, nrhs, <npy_complex128*>a, lda, ipiv, <npy_complex128*>b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zgesvd "BLAS_FUNC(zgesvd)"(char *jobu, char *jobvt, int *m, int *n, npy_complex128 *a, int *lda, d *s, npy_complex128 *u, int *ldu, npy_complex128 *vt, int *ldvt, npy_complex128 *work, int *lwork, d *rwork, int *info) nogil
cdef void zgesvd(char *jobu, char *jobvt, int *m, int *n, z *a, int *lda, d *s, z *u, int *ldu, z *vt, int *ldvt, z *work, int *lwork, d *rwork, int *info) noexcept nogil:
    
    _fortran_zgesvd(jobu, jobvt, m, n, <npy_complex128*>a, lda, s, <npy_complex128*>u, ldu, <npy_complex128*>vt, ldvt, <npy_complex128*>work, lwork, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zgesvx "BLAS_FUNC(zgesvx)"(char *fact, char *trans, int *n, int *nrhs, npy_complex128 *a, int *lda, npy_complex128 *af, int *ldaf, int *ipiv, char *equed, d *r, d *c, npy_complex128 *b, int *ldb, npy_complex128 *x, int *ldx, d *rcond, d *ferr, d *berr, npy_complex128 *work, d *rwork, int *info) nogil
cdef void zgesvx(char *fact, char *trans, int *n, int *nrhs, z *a, int *lda, z *af, int *ldaf, int *ipiv, char *equed, d *r, d *c, z *b, int *ldb, z *x, int *ldx, d *rcond, d *ferr, d *berr, z *work, d *rwork, int *info) noexcept nogil:
    
    _fortran_zgesvx(fact, trans, n, nrhs, <npy_complex128*>a, lda, <npy_complex128*>af, ldaf, ipiv, equed, r, c, <npy_complex128*>b, ldb, <npy_complex128*>x, ldx, rcond, ferr, berr, <npy_complex128*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zgetc2 "BLAS_FUNC(zgetc2)"(int *n, npy_complex128 *a, int *lda, int *ipiv, int *jpiv, int *info) nogil
cdef void zgetc2(int *n, z *a, int *lda, int *ipiv, int *jpiv, int *info) noexcept nogil:
    
    _fortran_zgetc2(n, <npy_complex128*>a, lda, ipiv, jpiv, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zgetf2 "BLAS_FUNC(zgetf2)"(int *m, int *n, npy_complex128 *a, int *lda, int *ipiv, int *info) nogil
cdef void zgetf2(int *m, int *n, z *a, int *lda, int *ipiv, int *info) noexcept nogil:
    
    _fortran_zgetf2(m, n, <npy_complex128*>a, lda, ipiv, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zgetrf "BLAS_FUNC(zgetrf)"(int *m, int *n, npy_complex128 *a, int *lda, int *ipiv, int *info) nogil
cdef void zgetrf(int *m, int *n, z *a, int *lda, int *ipiv, int *info) noexcept nogil:
    
    _fortran_zgetrf(m, n, <npy_complex128*>a, lda, ipiv, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zgetri "BLAS_FUNC(zgetri)"(int *n, npy_complex128 *a, int *lda, int *ipiv, npy_complex128 *work, int *lwork, int *info) nogil
cdef void zgetri(int *n, z *a, int *lda, int *ipiv, z *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_zgetri(n, <npy_complex128*>a, lda, ipiv, <npy_complex128*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zgetrs "BLAS_FUNC(zgetrs)"(char *trans, int *n, int *nrhs, npy_complex128 *a, int *lda, int *ipiv, npy_complex128 *b, int *ldb, int *info) nogil
cdef void zgetrs(char *trans, int *n, int *nrhs, z *a, int *lda, int *ipiv, z *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_zgetrs(trans, n, nrhs, <npy_complex128*>a, lda, ipiv, <npy_complex128*>b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zggbak "BLAS_FUNC(zggbak)"(char *job, char *side, int *n, int *ilo, int *ihi, d *lscale, d *rscale, int *m, npy_complex128 *v, int *ldv, int *info) nogil
cdef void zggbak(char *job, char *side, int *n, int *ilo, int *ihi, d *lscale, d *rscale, int *m, z *v, int *ldv, int *info) noexcept nogil:
    
    _fortran_zggbak(job, side, n, ilo, ihi, lscale, rscale, m, <npy_complex128*>v, ldv, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zggbal "BLAS_FUNC(zggbal)"(char *job, int *n, npy_complex128 *a, int *lda, npy_complex128 *b, int *ldb, int *ilo, int *ihi, d *lscale, d *rscale, d *work, int *info) nogil
cdef void zggbal(char *job, int *n, z *a, int *lda, z *b, int *ldb, int *ilo, int *ihi, d *lscale, d *rscale, d *work, int *info) noexcept nogil:
    
    _fortran_zggbal(job, n, <npy_complex128*>a, lda, <npy_complex128*>b, ldb, ilo, ihi, lscale, rscale, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zgges "BLAS_FUNC(zgges)"(char *jobvsl, char *jobvsr, char *sort, _zselect2 *selctg, int *n, npy_complex128 *a, int *lda, npy_complex128 *b, int *ldb, int *sdim, npy_complex128 *alpha, npy_complex128 *beta, npy_complex128 *vsl, int *ldvsl, npy_complex128 *vsr, int *ldvsr, npy_complex128 *work, int *lwork, d *rwork, bint *bwork, int *info) nogil
cdef void zgges(char *jobvsl, char *jobvsr, char *sort, zselect2 *selctg, int *n, z *a, int *lda, z *b, int *ldb, int *sdim, z *alpha, z *beta, z *vsl, int *ldvsl, z *vsr, int *ldvsr, z *work, int *lwork, d *rwork, bint *bwork, int *info) noexcept nogil:
    
    _fortran_zgges(jobvsl, jobvsr, sort, <_zselect2*>selctg, n, <npy_complex128*>a, lda, <npy_complex128*>b, ldb, sdim, <npy_complex128*>alpha, <npy_complex128*>beta, <npy_complex128*>vsl, ldvsl, <npy_complex128*>vsr, ldvsr, <npy_complex128*>work, lwork, rwork, bwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zggesx "BLAS_FUNC(zggesx)"(char *jobvsl, char *jobvsr, char *sort, _zselect2 *selctg, char *sense, int *n, npy_complex128 *a, int *lda, npy_complex128 *b, int *ldb, int *sdim, npy_complex128 *alpha, npy_complex128 *beta, npy_complex128 *vsl, int *ldvsl, npy_complex128 *vsr, int *ldvsr, d *rconde, d *rcondv, npy_complex128 *work, int *lwork, d *rwork, int *iwork, int *liwork, bint *bwork, int *info) nogil
cdef void zggesx(char *jobvsl, char *jobvsr, char *sort, zselect2 *selctg, char *sense, int *n, z *a, int *lda, z *b, int *ldb, int *sdim, z *alpha, z *beta, z *vsl, int *ldvsl, z *vsr, int *ldvsr, d *rconde, d *rcondv, z *work, int *lwork, d *rwork, int *iwork, int *liwork, bint *bwork, int *info) noexcept nogil:
    
    _fortran_zggesx(jobvsl, jobvsr, sort, <_zselect2*>selctg, sense, n, <npy_complex128*>a, lda, <npy_complex128*>b, ldb, sdim, <npy_complex128*>alpha, <npy_complex128*>beta, <npy_complex128*>vsl, ldvsl, <npy_complex128*>vsr, ldvsr, rconde, rcondv, <npy_complex128*>work, lwork, rwork, iwork, liwork, bwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zggev "BLAS_FUNC(zggev)"(char *jobvl, char *jobvr, int *n, npy_complex128 *a, int *lda, npy_complex128 *b, int *ldb, npy_complex128 *alpha, npy_complex128 *beta, npy_complex128 *vl, int *ldvl, npy_complex128 *vr, int *ldvr, npy_complex128 *work, int *lwork, d *rwork, int *info) nogil
cdef void zggev(char *jobvl, char *jobvr, int *n, z *a, int *lda, z *b, int *ldb, z *alpha, z *beta, z *vl, int *ldvl, z *vr, int *ldvr, z *work, int *lwork, d *rwork, int *info) noexcept nogil:
    
    _fortran_zggev(jobvl, jobvr, n, <npy_complex128*>a, lda, <npy_complex128*>b, ldb, <npy_complex128*>alpha, <npy_complex128*>beta, <npy_complex128*>vl, ldvl, <npy_complex128*>vr, ldvr, <npy_complex128*>work, lwork, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zggevx "BLAS_FUNC(zggevx)"(char *balanc, char *jobvl, char *jobvr, char *sense, int *n, npy_complex128 *a, int *lda, npy_complex128 *b, int *ldb, npy_complex128 *alpha, npy_complex128 *beta, npy_complex128 *vl, int *ldvl, npy_complex128 *vr, int *ldvr, int *ilo, int *ihi, d *lscale, d *rscale, d *abnrm, d *bbnrm, d *rconde, d *rcondv, npy_complex128 *work, int *lwork, d *rwork, int *iwork, bint *bwork, int *info) nogil
cdef void zggevx(char *balanc, char *jobvl, char *jobvr, char *sense, int *n, z *a, int *lda, z *b, int *ldb, z *alpha, z *beta, z *vl, int *ldvl, z *vr, int *ldvr, int *ilo, int *ihi, d *lscale, d *rscale, d *abnrm, d *bbnrm, d *rconde, d *rcondv, z *work, int *lwork, d *rwork, int *iwork, bint *bwork, int *info) noexcept nogil:
    
    _fortran_zggevx(balanc, jobvl, jobvr, sense, n, <npy_complex128*>a, lda, <npy_complex128*>b, ldb, <npy_complex128*>alpha, <npy_complex128*>beta, <npy_complex128*>vl, ldvl, <npy_complex128*>vr, ldvr, ilo, ihi, lscale, rscale, abnrm, bbnrm, rconde, rcondv, <npy_complex128*>work, lwork, rwork, iwork, bwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zggglm "BLAS_FUNC(zggglm)"(int *n, int *m, int *p, npy_complex128 *a, int *lda, npy_complex128 *b, int *ldb, npy_complex128 *d, npy_complex128 *x, npy_complex128 *y, npy_complex128 *work, int *lwork, int *info) nogil
cdef void zggglm(int *n, int *m, int *p, z *a, int *lda, z *b, int *ldb, z *d, z *x, z *y, z *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_zggglm(n, m, p, <npy_complex128*>a, lda, <npy_complex128*>b, ldb, <npy_complex128*>d, <npy_complex128*>x, <npy_complex128*>y, <npy_complex128*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zgghrd "BLAS_FUNC(zgghrd)"(char *compq, char *compz, int *n, int *ilo, int *ihi, npy_complex128 *a, int *lda, npy_complex128 *b, int *ldb, npy_complex128 *q, int *ldq, npy_complex128 *z, int *ldz, int *info) nogil
cdef void zgghrd(char *compq, char *compz, int *n, int *ilo, int *ihi, z *a, int *lda, z *b, int *ldb, z *q, int *ldq, z *z, int *ldz, int *info) noexcept nogil:
    
    _fortran_zgghrd(compq, compz, n, ilo, ihi, <npy_complex128*>a, lda, <npy_complex128*>b, ldb, <npy_complex128*>q, ldq, <npy_complex128*>z, ldz, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zgglse "BLAS_FUNC(zgglse)"(int *m, int *n, int *p, npy_complex128 *a, int *lda, npy_complex128 *b, int *ldb, npy_complex128 *c, npy_complex128 *d, npy_complex128 *x, npy_complex128 *work, int *lwork, int *info) nogil
cdef void zgglse(int *m, int *n, int *p, z *a, int *lda, z *b, int *ldb, z *c, z *d, z *x, z *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_zgglse(m, n, p, <npy_complex128*>a, lda, <npy_complex128*>b, ldb, <npy_complex128*>c, <npy_complex128*>d, <npy_complex128*>x, <npy_complex128*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zggqrf "BLAS_FUNC(zggqrf)"(int *n, int *m, int *p, npy_complex128 *a, int *lda, npy_complex128 *taua, npy_complex128 *b, int *ldb, npy_complex128 *taub, npy_complex128 *work, int *lwork, int *info) nogil
cdef void zggqrf(int *n, int *m, int *p, z *a, int *lda, z *taua, z *b, int *ldb, z *taub, z *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_zggqrf(n, m, p, <npy_complex128*>a, lda, <npy_complex128*>taua, <npy_complex128*>b, ldb, <npy_complex128*>taub, <npy_complex128*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zggrqf "BLAS_FUNC(zggrqf)"(int *m, int *p, int *n, npy_complex128 *a, int *lda, npy_complex128 *taua, npy_complex128 *b, int *ldb, npy_complex128 *taub, npy_complex128 *work, int *lwork, int *info) nogil
cdef void zggrqf(int *m, int *p, int *n, z *a, int *lda, z *taua, z *b, int *ldb, z *taub, z *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_zggrqf(m, p, n, <npy_complex128*>a, lda, <npy_complex128*>taua, <npy_complex128*>b, ldb, <npy_complex128*>taub, <npy_complex128*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zgtcon "BLAS_FUNC(zgtcon)"(char *norm, int *n, npy_complex128 *dl, npy_complex128 *d, npy_complex128 *du, npy_complex128 *du2, int *ipiv, d *anorm, d *rcond, npy_complex128 *work, int *info) nogil
cdef void zgtcon(char *norm, int *n, z *dl, z *d, z *du, z *du2, int *ipiv, d *anorm, d *rcond, z *work, int *info) noexcept nogil:
    
    _fortran_zgtcon(norm, n, <npy_complex128*>dl, <npy_complex128*>d, <npy_complex128*>du, <npy_complex128*>du2, ipiv, anorm, rcond, <npy_complex128*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zgtrfs "BLAS_FUNC(zgtrfs)"(char *trans, int *n, int *nrhs, npy_complex128 *dl, npy_complex128 *d, npy_complex128 *du, npy_complex128 *dlf, npy_complex128 *df, npy_complex128 *duf, npy_complex128 *du2, int *ipiv, npy_complex128 *b, int *ldb, npy_complex128 *x, int *ldx, d *ferr, d *berr, npy_complex128 *work, d *rwork, int *info) nogil
cdef void zgtrfs(char *trans, int *n, int *nrhs, z *dl, z *d, z *du, z *dlf, z *df, z *duf, z *du2, int *ipiv, z *b, int *ldb, z *x, int *ldx, d *ferr, d *berr, z *work, d *rwork, int *info) noexcept nogil:
    
    _fortran_zgtrfs(trans, n, nrhs, <npy_complex128*>dl, <npy_complex128*>d, <npy_complex128*>du, <npy_complex128*>dlf, <npy_complex128*>df, <npy_complex128*>duf, <npy_complex128*>du2, ipiv, <npy_complex128*>b, ldb, <npy_complex128*>x, ldx, ferr, berr, <npy_complex128*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zgtsv "BLAS_FUNC(zgtsv)"(int *n, int *nrhs, npy_complex128 *dl, npy_complex128 *d, npy_complex128 *du, npy_complex128 *b, int *ldb, int *info) nogil
cdef void zgtsv(int *n, int *nrhs, z *dl, z *d, z *du, z *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_zgtsv(n, nrhs, <npy_complex128*>dl, <npy_complex128*>d, <npy_complex128*>du, <npy_complex128*>b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zgtsvx "BLAS_FUNC(zgtsvx)"(char *fact, char *trans, int *n, int *nrhs, npy_complex128 *dl, npy_complex128 *d, npy_complex128 *du, npy_complex128 *dlf, npy_complex128 *df, npy_complex128 *duf, npy_complex128 *du2, int *ipiv, npy_complex128 *b, int *ldb, npy_complex128 *x, int *ldx, d *rcond, d *ferr, d *berr, npy_complex128 *work, d *rwork, int *info) nogil
cdef void zgtsvx(char *fact, char *trans, int *n, int *nrhs, z *dl, z *d, z *du, z *dlf, z *df, z *duf, z *du2, int *ipiv, z *b, int *ldb, z *x, int *ldx, d *rcond, d *ferr, d *berr, z *work, d *rwork, int *info) noexcept nogil:
    
    _fortran_zgtsvx(fact, trans, n, nrhs, <npy_complex128*>dl, <npy_complex128*>d, <npy_complex128*>du, <npy_complex128*>dlf, <npy_complex128*>df, <npy_complex128*>duf, <npy_complex128*>du2, ipiv, <npy_complex128*>b, ldb, <npy_complex128*>x, ldx, rcond, ferr, berr, <npy_complex128*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zgttrf "BLAS_FUNC(zgttrf)"(int *n, npy_complex128 *dl, npy_complex128 *d, npy_complex128 *du, npy_complex128 *du2, int *ipiv, int *info) nogil
cdef void zgttrf(int *n, z *dl, z *d, z *du, z *du2, int *ipiv, int *info) noexcept nogil:
    
    _fortran_zgttrf(n, <npy_complex128*>dl, <npy_complex128*>d, <npy_complex128*>du, <npy_complex128*>du2, ipiv, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zgttrs "BLAS_FUNC(zgttrs)"(char *trans, int *n, int *nrhs, npy_complex128 *dl, npy_complex128 *d, npy_complex128 *du, npy_complex128 *du2, int *ipiv, npy_complex128 *b, int *ldb, int *info) nogil
cdef void zgttrs(char *trans, int *n, int *nrhs, z *dl, z *d, z *du, z *du2, int *ipiv, z *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_zgttrs(trans, n, nrhs, <npy_complex128*>dl, <npy_complex128*>d, <npy_complex128*>du, <npy_complex128*>du2, ipiv, <npy_complex128*>b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zgtts2 "BLAS_FUNC(zgtts2)"(int *itrans, int *n, int *nrhs, npy_complex128 *dl, npy_complex128 *d, npy_complex128 *du, npy_complex128 *du2, int *ipiv, npy_complex128 *b, int *ldb) nogil
cdef void zgtts2(int *itrans, int *n, int *nrhs, z *dl, z *d, z *du, z *du2, int *ipiv, z *b, int *ldb) noexcept nogil:
    
    _fortran_zgtts2(itrans, n, nrhs, <npy_complex128*>dl, <npy_complex128*>d, <npy_complex128*>du, <npy_complex128*>du2, ipiv, <npy_complex128*>b, ldb)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zhbev "BLAS_FUNC(zhbev)"(char *jobz, char *uplo, int *n, int *kd, npy_complex128 *ab, int *ldab, d *w, npy_complex128 *z, int *ldz, npy_complex128 *work, d *rwork, int *info) nogil
cdef void zhbev(char *jobz, char *uplo, int *n, int *kd, z *ab, int *ldab, d *w, z *z, int *ldz, z *work, d *rwork, int *info) noexcept nogil:
    
    _fortran_zhbev(jobz, uplo, n, kd, <npy_complex128*>ab, ldab, w, <npy_complex128*>z, ldz, <npy_complex128*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zhbevd "BLAS_FUNC(zhbevd)"(char *jobz, char *uplo, int *n, int *kd, npy_complex128 *ab, int *ldab, d *w, npy_complex128 *z, int *ldz, npy_complex128 *work, int *lwork, d *rwork, int *lrwork, int *iwork, int *liwork, int *info) nogil
cdef void zhbevd(char *jobz, char *uplo, int *n, int *kd, z *ab, int *ldab, d *w, z *z, int *ldz, z *work, int *lwork, d *rwork, int *lrwork, int *iwork, int *liwork, int *info) noexcept nogil:
    
    _fortran_zhbevd(jobz, uplo, n, kd, <npy_complex128*>ab, ldab, w, <npy_complex128*>z, ldz, <npy_complex128*>work, lwork, rwork, lrwork, iwork, liwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zhbevx "BLAS_FUNC(zhbevx)"(char *jobz, char *range, char *uplo, int *n, int *kd, npy_complex128 *ab, int *ldab, npy_complex128 *q, int *ldq, d *vl, d *vu, int *il, int *iu, d *abstol, int *m, d *w, npy_complex128 *z, int *ldz, npy_complex128 *work, d *rwork, int *iwork, int *ifail, int *info) nogil
cdef void zhbevx(char *jobz, char *range, char *uplo, int *n, int *kd, z *ab, int *ldab, z *q, int *ldq, d *vl, d *vu, int *il, int *iu, d *abstol, int *m, d *w, z *z, int *ldz, z *work, d *rwork, int *iwork, int *ifail, int *info) noexcept nogil:
    
    _fortran_zhbevx(jobz, range, uplo, n, kd, <npy_complex128*>ab, ldab, <npy_complex128*>q, ldq, vl, vu, il, iu, abstol, m, w, <npy_complex128*>z, ldz, <npy_complex128*>work, rwork, iwork, ifail, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zhbgst "BLAS_FUNC(zhbgst)"(char *vect, char *uplo, int *n, int *ka, int *kb, npy_complex128 *ab, int *ldab, npy_complex128 *bb, int *ldbb, npy_complex128 *x, int *ldx, npy_complex128 *work, d *rwork, int *info) nogil
cdef void zhbgst(char *vect, char *uplo, int *n, int *ka, int *kb, z *ab, int *ldab, z *bb, int *ldbb, z *x, int *ldx, z *work, d *rwork, int *info) noexcept nogil:
    
    _fortran_zhbgst(vect, uplo, n, ka, kb, <npy_complex128*>ab, ldab, <npy_complex128*>bb, ldbb, <npy_complex128*>x, ldx, <npy_complex128*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zhbgv "BLAS_FUNC(zhbgv)"(char *jobz, char *uplo, int *n, int *ka, int *kb, npy_complex128 *ab, int *ldab, npy_complex128 *bb, int *ldbb, d *w, npy_complex128 *z, int *ldz, npy_complex128 *work, d *rwork, int *info) nogil
cdef void zhbgv(char *jobz, char *uplo, int *n, int *ka, int *kb, z *ab, int *ldab, z *bb, int *ldbb, d *w, z *z, int *ldz, z *work, d *rwork, int *info) noexcept nogil:
    
    _fortran_zhbgv(jobz, uplo, n, ka, kb, <npy_complex128*>ab, ldab, <npy_complex128*>bb, ldbb, w, <npy_complex128*>z, ldz, <npy_complex128*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zhbgvd "BLAS_FUNC(zhbgvd)"(char *jobz, char *uplo, int *n, int *ka, int *kb, npy_complex128 *ab, int *ldab, npy_complex128 *bb, int *ldbb, d *w, npy_complex128 *z, int *ldz, npy_complex128 *work, int *lwork, d *rwork, int *lrwork, int *iwork, int *liwork, int *info) nogil
cdef void zhbgvd(char *jobz, char *uplo, int *n, int *ka, int *kb, z *ab, int *ldab, z *bb, int *ldbb, d *w, z *z, int *ldz, z *work, int *lwork, d *rwork, int *lrwork, int *iwork, int *liwork, int *info) noexcept nogil:
    
    _fortran_zhbgvd(jobz, uplo, n, ka, kb, <npy_complex128*>ab, ldab, <npy_complex128*>bb, ldbb, w, <npy_complex128*>z, ldz, <npy_complex128*>work, lwork, rwork, lrwork, iwork, liwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zhbgvx "BLAS_FUNC(zhbgvx)"(char *jobz, char *range, char *uplo, int *n, int *ka, int *kb, npy_complex128 *ab, int *ldab, npy_complex128 *bb, int *ldbb, npy_complex128 *q, int *ldq, d *vl, d *vu, int *il, int *iu, d *abstol, int *m, d *w, npy_complex128 *z, int *ldz, npy_complex128 *work, d *rwork, int *iwork, int *ifail, int *info) nogil
cdef void zhbgvx(char *jobz, char *range, char *uplo, int *n, int *ka, int *kb, z *ab, int *ldab, z *bb, int *ldbb, z *q, int *ldq, d *vl, d *vu, int *il, int *iu, d *abstol, int *m, d *w, z *z, int *ldz, z *work, d *rwork, int *iwork, int *ifail, int *info) noexcept nogil:
    
    _fortran_zhbgvx(jobz, range, uplo, n, ka, kb, <npy_complex128*>ab, ldab, <npy_complex128*>bb, ldbb, <npy_complex128*>q, ldq, vl, vu, il, iu, abstol, m, w, <npy_complex128*>z, ldz, <npy_complex128*>work, rwork, iwork, ifail, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zhbtrd "BLAS_FUNC(zhbtrd)"(char *vect, char *uplo, int *n, int *kd, npy_complex128 *ab, int *ldab, d *d, d *e, npy_complex128 *q, int *ldq, npy_complex128 *work, int *info) nogil
cdef void zhbtrd(char *vect, char *uplo, int *n, int *kd, z *ab, int *ldab, d *d, d *e, z *q, int *ldq, z *work, int *info) noexcept nogil:
    
    _fortran_zhbtrd(vect, uplo, n, kd, <npy_complex128*>ab, ldab, d, e, <npy_complex128*>q, ldq, <npy_complex128*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zhecon "BLAS_FUNC(zhecon)"(char *uplo, int *n, npy_complex128 *a, int *lda, int *ipiv, d *anorm, d *rcond, npy_complex128 *work, int *info) nogil
cdef void zhecon(char *uplo, int *n, z *a, int *lda, int *ipiv, d *anorm, d *rcond, z *work, int *info) noexcept nogil:
    
    _fortran_zhecon(uplo, n, <npy_complex128*>a, lda, ipiv, anorm, rcond, <npy_complex128*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zheequb "BLAS_FUNC(zheequb)"(char *uplo, int *n, npy_complex128 *a, int *lda, d *s, d *scond, d *amax, npy_complex128 *work, int *info) nogil
cdef void zheequb(char *uplo, int *n, z *a, int *lda, d *s, d *scond, d *amax, z *work, int *info) noexcept nogil:
    
    _fortran_zheequb(uplo, n, <npy_complex128*>a, lda, s, scond, amax, <npy_complex128*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zheev "BLAS_FUNC(zheev)"(char *jobz, char *uplo, int *n, npy_complex128 *a, int *lda, d *w, npy_complex128 *work, int *lwork, d *rwork, int *info) nogil
cdef void zheev(char *jobz, char *uplo, int *n, z *a, int *lda, d *w, z *work, int *lwork, d *rwork, int *info) noexcept nogil:
    
    _fortran_zheev(jobz, uplo, n, <npy_complex128*>a, lda, w, <npy_complex128*>work, lwork, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zheevd "BLAS_FUNC(zheevd)"(char *jobz, char *uplo, int *n, npy_complex128 *a, int *lda, d *w, npy_complex128 *work, int *lwork, d *rwork, int *lrwork, int *iwork, int *liwork, int *info) nogil
cdef void zheevd(char *jobz, char *uplo, int *n, z *a, int *lda, d *w, z *work, int *lwork, d *rwork, int *lrwork, int *iwork, int *liwork, int *info) noexcept nogil:
    
    _fortran_zheevd(jobz, uplo, n, <npy_complex128*>a, lda, w, <npy_complex128*>work, lwork, rwork, lrwork, iwork, liwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zheevr "BLAS_FUNC(zheevr)"(char *jobz, char *range, char *uplo, int *n, npy_complex128 *a, int *lda, d *vl, d *vu, int *il, int *iu, d *abstol, int *m, d *w, npy_complex128 *z, int *ldz, int *isuppz, npy_complex128 *work, int *lwork, d *rwork, int *lrwork, int *iwork, int *liwork, int *info) nogil
cdef void zheevr(char *jobz, char *range, char *uplo, int *n, z *a, int *lda, d *vl, d *vu, int *il, int *iu, d *abstol, int *m, d *w, z *z, int *ldz, int *isuppz, z *work, int *lwork, d *rwork, int *lrwork, int *iwork, int *liwork, int *info) noexcept nogil:
    
    _fortran_zheevr(jobz, range, uplo, n, <npy_complex128*>a, lda, vl, vu, il, iu, abstol, m, w, <npy_complex128*>z, ldz, isuppz, <npy_complex128*>work, lwork, rwork, lrwork, iwork, liwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zheevx "BLAS_FUNC(zheevx)"(char *jobz, char *range, char *uplo, int *n, npy_complex128 *a, int *lda, d *vl, d *vu, int *il, int *iu, d *abstol, int *m, d *w, npy_complex128 *z, int *ldz, npy_complex128 *work, int *lwork, d *rwork, int *iwork, int *ifail, int *info) nogil
cdef void zheevx(char *jobz, char *range, char *uplo, int *n, z *a, int *lda, d *vl, d *vu, int *il, int *iu, d *abstol, int *m, d *w, z *z, int *ldz, z *work, int *lwork, d *rwork, int *iwork, int *ifail, int *info) noexcept nogil:
    
    _fortran_zheevx(jobz, range, uplo, n, <npy_complex128*>a, lda, vl, vu, il, iu, abstol, m, w, <npy_complex128*>z, ldz, <npy_complex128*>work, lwork, rwork, iwork, ifail, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zhegs2 "BLAS_FUNC(zhegs2)"(int *itype, char *uplo, int *n, npy_complex128 *a, int *lda, npy_complex128 *b, int *ldb, int *info) nogil
cdef void zhegs2(int *itype, char *uplo, int *n, z *a, int *lda, z *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_zhegs2(itype, uplo, n, <npy_complex128*>a, lda, <npy_complex128*>b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zhegst "BLAS_FUNC(zhegst)"(int *itype, char *uplo, int *n, npy_complex128 *a, int *lda, npy_complex128 *b, int *ldb, int *info) nogil
cdef void zhegst(int *itype, char *uplo, int *n, z *a, int *lda, z *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_zhegst(itype, uplo, n, <npy_complex128*>a, lda, <npy_complex128*>b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zhegv "BLAS_FUNC(zhegv)"(int *itype, char *jobz, char *uplo, int *n, npy_complex128 *a, int *lda, npy_complex128 *b, int *ldb, d *w, npy_complex128 *work, int *lwork, d *rwork, int *info) nogil
cdef void zhegv(int *itype, char *jobz, char *uplo, int *n, z *a, int *lda, z *b, int *ldb, d *w, z *work, int *lwork, d *rwork, int *info) noexcept nogil:
    
    _fortran_zhegv(itype, jobz, uplo, n, <npy_complex128*>a, lda, <npy_complex128*>b, ldb, w, <npy_complex128*>work, lwork, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zhegvd "BLAS_FUNC(zhegvd)"(int *itype, char *jobz, char *uplo, int *n, npy_complex128 *a, int *lda, npy_complex128 *b, int *ldb, d *w, npy_complex128 *work, int *lwork, d *rwork, int *lrwork, int *iwork, int *liwork, int *info) nogil
cdef void zhegvd(int *itype, char *jobz, char *uplo, int *n, z *a, int *lda, z *b, int *ldb, d *w, z *work, int *lwork, d *rwork, int *lrwork, int *iwork, int *liwork, int *info) noexcept nogil:
    
    _fortran_zhegvd(itype, jobz, uplo, n, <npy_complex128*>a, lda, <npy_complex128*>b, ldb, w, <npy_complex128*>work, lwork, rwork, lrwork, iwork, liwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zhegvx "BLAS_FUNC(zhegvx)"(int *itype, char *jobz, char *range, char *uplo, int *n, npy_complex128 *a, int *lda, npy_complex128 *b, int *ldb, d *vl, d *vu, int *il, int *iu, d *abstol, int *m, d *w, npy_complex128 *z, int *ldz, npy_complex128 *work, int *lwork, d *rwork, int *iwork, int *ifail, int *info) nogil
cdef void zhegvx(int *itype, char *jobz, char *range, char *uplo, int *n, z *a, int *lda, z *b, int *ldb, d *vl, d *vu, int *il, int *iu, d *abstol, int *m, d *w, z *z, int *ldz, z *work, int *lwork, d *rwork, int *iwork, int *ifail, int *info) noexcept nogil:
    
    _fortran_zhegvx(itype, jobz, range, uplo, n, <npy_complex128*>a, lda, <npy_complex128*>b, ldb, vl, vu, il, iu, abstol, m, w, <npy_complex128*>z, ldz, <npy_complex128*>work, lwork, rwork, iwork, ifail, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zherfs "BLAS_FUNC(zherfs)"(char *uplo, int *n, int *nrhs, npy_complex128 *a, int *lda, npy_complex128 *af, int *ldaf, int *ipiv, npy_complex128 *b, int *ldb, npy_complex128 *x, int *ldx, d *ferr, d *berr, npy_complex128 *work, d *rwork, int *info) nogil
cdef void zherfs(char *uplo, int *n, int *nrhs, z *a, int *lda, z *af, int *ldaf, int *ipiv, z *b, int *ldb, z *x, int *ldx, d *ferr, d *berr, z *work, d *rwork, int *info) noexcept nogil:
    
    _fortran_zherfs(uplo, n, nrhs, <npy_complex128*>a, lda, <npy_complex128*>af, ldaf, ipiv, <npy_complex128*>b, ldb, <npy_complex128*>x, ldx, ferr, berr, <npy_complex128*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zhesv "BLAS_FUNC(zhesv)"(char *uplo, int *n, int *nrhs, npy_complex128 *a, int *lda, int *ipiv, npy_complex128 *b, int *ldb, npy_complex128 *work, int *lwork, int *info) nogil
cdef void zhesv(char *uplo, int *n, int *nrhs, z *a, int *lda, int *ipiv, z *b, int *ldb, z *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_zhesv(uplo, n, nrhs, <npy_complex128*>a, lda, ipiv, <npy_complex128*>b, ldb, <npy_complex128*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zhesvx "BLAS_FUNC(zhesvx)"(char *fact, char *uplo, int *n, int *nrhs, npy_complex128 *a, int *lda, npy_complex128 *af, int *ldaf, int *ipiv, npy_complex128 *b, int *ldb, npy_complex128 *x, int *ldx, d *rcond, d *ferr, d *berr, npy_complex128 *work, int *lwork, d *rwork, int *info) nogil
cdef void zhesvx(char *fact, char *uplo, int *n, int *nrhs, z *a, int *lda, z *af, int *ldaf, int *ipiv, z *b, int *ldb, z *x, int *ldx, d *rcond, d *ferr, d *berr, z *work, int *lwork, d *rwork, int *info) noexcept nogil:
    
    _fortran_zhesvx(fact, uplo, n, nrhs, <npy_complex128*>a, lda, <npy_complex128*>af, ldaf, ipiv, <npy_complex128*>b, ldb, <npy_complex128*>x, ldx, rcond, ferr, berr, <npy_complex128*>work, lwork, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zheswapr "BLAS_FUNC(zheswapr)"(char *uplo, int *n, npy_complex128 *a, int *lda, int *i1, int *i2) nogil
cdef void zheswapr(char *uplo, int *n, z *a, int *lda, int *i1, int *i2) noexcept nogil:
    
    _fortran_zheswapr(uplo, n, <npy_complex128*>a, lda, i1, i2)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zhetd2 "BLAS_FUNC(zhetd2)"(char *uplo, int *n, npy_complex128 *a, int *lda, d *d, d *e, npy_complex128 *tau, int *info) nogil
cdef void zhetd2(char *uplo, int *n, z *a, int *lda, d *d, d *e, z *tau, int *info) noexcept nogil:
    
    _fortran_zhetd2(uplo, n, <npy_complex128*>a, lda, d, e, <npy_complex128*>tau, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zhetf2 "BLAS_FUNC(zhetf2)"(char *uplo, int *n, npy_complex128 *a, int *lda, int *ipiv, int *info) nogil
cdef void zhetf2(char *uplo, int *n, z *a, int *lda, int *ipiv, int *info) noexcept nogil:
    
    _fortran_zhetf2(uplo, n, <npy_complex128*>a, lda, ipiv, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zhetrd "BLAS_FUNC(zhetrd)"(char *uplo, int *n, npy_complex128 *a, int *lda, d *d, d *e, npy_complex128 *tau, npy_complex128 *work, int *lwork, int *info) nogil
cdef void zhetrd(char *uplo, int *n, z *a, int *lda, d *d, d *e, z *tau, z *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_zhetrd(uplo, n, <npy_complex128*>a, lda, d, e, <npy_complex128*>tau, <npy_complex128*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zhetrf "BLAS_FUNC(zhetrf)"(char *uplo, int *n, npy_complex128 *a, int *lda, int *ipiv, npy_complex128 *work, int *lwork, int *info) nogil
cdef void zhetrf(char *uplo, int *n, z *a, int *lda, int *ipiv, z *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_zhetrf(uplo, n, <npy_complex128*>a, lda, ipiv, <npy_complex128*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zhetri "BLAS_FUNC(zhetri)"(char *uplo, int *n, npy_complex128 *a, int *lda, int *ipiv, npy_complex128 *work, int *info) nogil
cdef void zhetri(char *uplo, int *n, z *a, int *lda, int *ipiv, z *work, int *info) noexcept nogil:
    
    _fortran_zhetri(uplo, n, <npy_complex128*>a, lda, ipiv, <npy_complex128*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zhetri2 "BLAS_FUNC(zhetri2)"(char *uplo, int *n, npy_complex128 *a, int *lda, int *ipiv, npy_complex128 *work, int *lwork, int *info) nogil
cdef void zhetri2(char *uplo, int *n, z *a, int *lda, int *ipiv, z *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_zhetri2(uplo, n, <npy_complex128*>a, lda, ipiv, <npy_complex128*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zhetri2x "BLAS_FUNC(zhetri2x)"(char *uplo, int *n, npy_complex128 *a, int *lda, int *ipiv, npy_complex128 *work, int *nb, int *info) nogil
cdef void zhetri2x(char *uplo, int *n, z *a, int *lda, int *ipiv, z *work, int *nb, int *info) noexcept nogil:
    
    _fortran_zhetri2x(uplo, n, <npy_complex128*>a, lda, ipiv, <npy_complex128*>work, nb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zhetrs "BLAS_FUNC(zhetrs)"(char *uplo, int *n, int *nrhs, npy_complex128 *a, int *lda, int *ipiv, npy_complex128 *b, int *ldb, int *info) nogil
cdef void zhetrs(char *uplo, int *n, int *nrhs, z *a, int *lda, int *ipiv, z *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_zhetrs(uplo, n, nrhs, <npy_complex128*>a, lda, ipiv, <npy_complex128*>b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zhetrs2 "BLAS_FUNC(zhetrs2)"(char *uplo, int *n, int *nrhs, npy_complex128 *a, int *lda, int *ipiv, npy_complex128 *b, int *ldb, npy_complex128 *work, int *info) nogil
cdef void zhetrs2(char *uplo, int *n, int *nrhs, z *a, int *lda, int *ipiv, z *b, int *ldb, z *work, int *info) noexcept nogil:
    
    _fortran_zhetrs2(uplo, n, nrhs, <npy_complex128*>a, lda, ipiv, <npy_complex128*>b, ldb, <npy_complex128*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zhfrk "BLAS_FUNC(zhfrk)"(char *transr, char *uplo, char *trans, int *n, int *k, d *alpha, npy_complex128 *a, int *lda, d *beta, npy_complex128 *c) nogil
cdef void zhfrk(char *transr, char *uplo, char *trans, int *n, int *k, d *alpha, z *a, int *lda, d *beta, z *c) noexcept nogil:
    
    _fortran_zhfrk(transr, uplo, trans, n, k, alpha, <npy_complex128*>a, lda, beta, <npy_complex128*>c)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zhgeqz "BLAS_FUNC(zhgeqz)"(char *job, char *compq, char *compz, int *n, int *ilo, int *ihi, npy_complex128 *h, int *ldh, npy_complex128 *t, int *ldt, npy_complex128 *alpha, npy_complex128 *beta, npy_complex128 *q, int *ldq, npy_complex128 *z, int *ldz, npy_complex128 *work, int *lwork, d *rwork, int *info) nogil
cdef void zhgeqz(char *job, char *compq, char *compz, int *n, int *ilo, int *ihi, z *h, int *ldh, z *t, int *ldt, z *alpha, z *beta, z *q, int *ldq, z *z, int *ldz, z *work, int *lwork, d *rwork, int *info) noexcept nogil:
    
    _fortran_zhgeqz(job, compq, compz, n, ilo, ihi, <npy_complex128*>h, ldh, <npy_complex128*>t, ldt, <npy_complex128*>alpha, <npy_complex128*>beta, <npy_complex128*>q, ldq, <npy_complex128*>z, ldz, <npy_complex128*>work, lwork, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zhpcon "BLAS_FUNC(zhpcon)"(char *uplo, int *n, npy_complex128 *ap, int *ipiv, d *anorm, d *rcond, npy_complex128 *work, int *info) nogil
cdef void zhpcon(char *uplo, int *n, z *ap, int *ipiv, d *anorm, d *rcond, z *work, int *info) noexcept nogil:
    
    _fortran_zhpcon(uplo, n, <npy_complex128*>ap, ipiv, anorm, rcond, <npy_complex128*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zhpev "BLAS_FUNC(zhpev)"(char *jobz, char *uplo, int *n, npy_complex128 *ap, d *w, npy_complex128 *z, int *ldz, npy_complex128 *work, d *rwork, int *info) nogil
cdef void zhpev(char *jobz, char *uplo, int *n, z *ap, d *w, z *z, int *ldz, z *work, d *rwork, int *info) noexcept nogil:
    
    _fortran_zhpev(jobz, uplo, n, <npy_complex128*>ap, w, <npy_complex128*>z, ldz, <npy_complex128*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zhpevd "BLAS_FUNC(zhpevd)"(char *jobz, char *uplo, int *n, npy_complex128 *ap, d *w, npy_complex128 *z, int *ldz, npy_complex128 *work, int *lwork, d *rwork, int *lrwork, int *iwork, int *liwork, int *info) nogil
cdef void zhpevd(char *jobz, char *uplo, int *n, z *ap, d *w, z *z, int *ldz, z *work, int *lwork, d *rwork, int *lrwork, int *iwork, int *liwork, int *info) noexcept nogil:
    
    _fortran_zhpevd(jobz, uplo, n, <npy_complex128*>ap, w, <npy_complex128*>z, ldz, <npy_complex128*>work, lwork, rwork, lrwork, iwork, liwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zhpevx "BLAS_FUNC(zhpevx)"(char *jobz, char *range, char *uplo, int *n, npy_complex128 *ap, d *vl, d *vu, int *il, int *iu, d *abstol, int *m, d *w, npy_complex128 *z, int *ldz, npy_complex128 *work, d *rwork, int *iwork, int *ifail, int *info) nogil
cdef void zhpevx(char *jobz, char *range, char *uplo, int *n, z *ap, d *vl, d *vu, int *il, int *iu, d *abstol, int *m, d *w, z *z, int *ldz, z *work, d *rwork, int *iwork, int *ifail, int *info) noexcept nogil:
    
    _fortran_zhpevx(jobz, range, uplo, n, <npy_complex128*>ap, vl, vu, il, iu, abstol, m, w, <npy_complex128*>z, ldz, <npy_complex128*>work, rwork, iwork, ifail, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zhpgst "BLAS_FUNC(zhpgst)"(int *itype, char *uplo, int *n, npy_complex128 *ap, npy_complex128 *bp, int *info) nogil
cdef void zhpgst(int *itype, char *uplo, int *n, z *ap, z *bp, int *info) noexcept nogil:
    
    _fortran_zhpgst(itype, uplo, n, <npy_complex128*>ap, <npy_complex128*>bp, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zhpgv "BLAS_FUNC(zhpgv)"(int *itype, char *jobz, char *uplo, int *n, npy_complex128 *ap, npy_complex128 *bp, d *w, npy_complex128 *z, int *ldz, npy_complex128 *work, d *rwork, int *info) nogil
cdef void zhpgv(int *itype, char *jobz, char *uplo, int *n, z *ap, z *bp, d *w, z *z, int *ldz, z *work, d *rwork, int *info) noexcept nogil:
    
    _fortran_zhpgv(itype, jobz, uplo, n, <npy_complex128*>ap, <npy_complex128*>bp, w, <npy_complex128*>z, ldz, <npy_complex128*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zhpgvd "BLAS_FUNC(zhpgvd)"(int *itype, char *jobz, char *uplo, int *n, npy_complex128 *ap, npy_complex128 *bp, d *w, npy_complex128 *z, int *ldz, npy_complex128 *work, int *lwork, d *rwork, int *lrwork, int *iwork, int *liwork, int *info) nogil
cdef void zhpgvd(int *itype, char *jobz, char *uplo, int *n, z *ap, z *bp, d *w, z *z, int *ldz, z *work, int *lwork, d *rwork, int *lrwork, int *iwork, int *liwork, int *info) noexcept nogil:
    
    _fortran_zhpgvd(itype, jobz, uplo, n, <npy_complex128*>ap, <npy_complex128*>bp, w, <npy_complex128*>z, ldz, <npy_complex128*>work, lwork, rwork, lrwork, iwork, liwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zhpgvx "BLAS_FUNC(zhpgvx)"(int *itype, char *jobz, char *range, char *uplo, int *n, npy_complex128 *ap, npy_complex128 *bp, d *vl, d *vu, int *il, int *iu, d *abstol, int *m, d *w, npy_complex128 *z, int *ldz, npy_complex128 *work, d *rwork, int *iwork, int *ifail, int *info) nogil
cdef void zhpgvx(int *itype, char *jobz, char *range, char *uplo, int *n, z *ap, z *bp, d *vl, d *vu, int *il, int *iu, d *abstol, int *m, d *w, z *z, int *ldz, z *work, d *rwork, int *iwork, int *ifail, int *info) noexcept nogil:
    
    _fortran_zhpgvx(itype, jobz, range, uplo, n, <npy_complex128*>ap, <npy_complex128*>bp, vl, vu, il, iu, abstol, m, w, <npy_complex128*>z, ldz, <npy_complex128*>work, rwork, iwork, ifail, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zhprfs "BLAS_FUNC(zhprfs)"(char *uplo, int *n, int *nrhs, npy_complex128 *ap, npy_complex128 *afp, int *ipiv, npy_complex128 *b, int *ldb, npy_complex128 *x, int *ldx, d *ferr, d *berr, npy_complex128 *work, d *rwork, int *info) nogil
cdef void zhprfs(char *uplo, int *n, int *nrhs, z *ap, z *afp, int *ipiv, z *b, int *ldb, z *x, int *ldx, d *ferr, d *berr, z *work, d *rwork, int *info) noexcept nogil:
    
    _fortran_zhprfs(uplo, n, nrhs, <npy_complex128*>ap, <npy_complex128*>afp, ipiv, <npy_complex128*>b, ldb, <npy_complex128*>x, ldx, ferr, berr, <npy_complex128*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zhpsv "BLAS_FUNC(zhpsv)"(char *uplo, int *n, int *nrhs, npy_complex128 *ap, int *ipiv, npy_complex128 *b, int *ldb, int *info) nogil
cdef void zhpsv(char *uplo, int *n, int *nrhs, z *ap, int *ipiv, z *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_zhpsv(uplo, n, nrhs, <npy_complex128*>ap, ipiv, <npy_complex128*>b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zhpsvx "BLAS_FUNC(zhpsvx)"(char *fact, char *uplo, int *n, int *nrhs, npy_complex128 *ap, npy_complex128 *afp, int *ipiv, npy_complex128 *b, int *ldb, npy_complex128 *x, int *ldx, d *rcond, d *ferr, d *berr, npy_complex128 *work, d *rwork, int *info) nogil
cdef void zhpsvx(char *fact, char *uplo, int *n, int *nrhs, z *ap, z *afp, int *ipiv, z *b, int *ldb, z *x, int *ldx, d *rcond, d *ferr, d *berr, z *work, d *rwork, int *info) noexcept nogil:
    
    _fortran_zhpsvx(fact, uplo, n, nrhs, <npy_complex128*>ap, <npy_complex128*>afp, ipiv, <npy_complex128*>b, ldb, <npy_complex128*>x, ldx, rcond, ferr, berr, <npy_complex128*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zhptrd "BLAS_FUNC(zhptrd)"(char *uplo, int *n, npy_complex128 *ap, d *d, d *e, npy_complex128 *tau, int *info) nogil
cdef void zhptrd(char *uplo, int *n, z *ap, d *d, d *e, z *tau, int *info) noexcept nogil:
    
    _fortran_zhptrd(uplo, n, <npy_complex128*>ap, d, e, <npy_complex128*>tau, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zhptrf "BLAS_FUNC(zhptrf)"(char *uplo, int *n, npy_complex128 *ap, int *ipiv, int *info) nogil
cdef void zhptrf(char *uplo, int *n, z *ap, int *ipiv, int *info) noexcept nogil:
    
    _fortran_zhptrf(uplo, n, <npy_complex128*>ap, ipiv, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zhptri "BLAS_FUNC(zhptri)"(char *uplo, int *n, npy_complex128 *ap, int *ipiv, npy_complex128 *work, int *info) nogil
cdef void zhptri(char *uplo, int *n, z *ap, int *ipiv, z *work, int *info) noexcept nogil:
    
    _fortran_zhptri(uplo, n, <npy_complex128*>ap, ipiv, <npy_complex128*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zhptrs "BLAS_FUNC(zhptrs)"(char *uplo, int *n, int *nrhs, npy_complex128 *ap, int *ipiv, npy_complex128 *b, int *ldb, int *info) nogil
cdef void zhptrs(char *uplo, int *n, int *nrhs, z *ap, int *ipiv, z *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_zhptrs(uplo, n, nrhs, <npy_complex128*>ap, ipiv, <npy_complex128*>b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zhsein "BLAS_FUNC(zhsein)"(char *side, char *eigsrc, char *initv, bint *select, int *n, npy_complex128 *h, int *ldh, npy_complex128 *w, npy_complex128 *vl, int *ldvl, npy_complex128 *vr, int *ldvr, int *mm, int *m, npy_complex128 *work, d *rwork, int *ifaill, int *ifailr, int *info) nogil
cdef void zhsein(char *side, char *eigsrc, char *initv, bint *select, int *n, z *h, int *ldh, z *w, z *vl, int *ldvl, z *vr, int *ldvr, int *mm, int *m, z *work, d *rwork, int *ifaill, int *ifailr, int *info) noexcept nogil:
    
    _fortran_zhsein(side, eigsrc, initv, select, n, <npy_complex128*>h, ldh, <npy_complex128*>w, <npy_complex128*>vl, ldvl, <npy_complex128*>vr, ldvr, mm, m, <npy_complex128*>work, rwork, ifaill, ifailr, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zhseqr "BLAS_FUNC(zhseqr)"(char *job, char *compz, int *n, int *ilo, int *ihi, npy_complex128 *h, int *ldh, npy_complex128 *w, npy_complex128 *z, int *ldz, npy_complex128 *work, int *lwork, int *info) nogil
cdef void zhseqr(char *job, char *compz, int *n, int *ilo, int *ihi, z *h, int *ldh, z *w, z *z, int *ldz, z *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_zhseqr(job, compz, n, ilo, ihi, <npy_complex128*>h, ldh, <npy_complex128*>w, <npy_complex128*>z, ldz, <npy_complex128*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlabrd "BLAS_FUNC(zlabrd)"(int *m, int *n, int *nb, npy_complex128 *a, int *lda, d *d, d *e, npy_complex128 *tauq, npy_complex128 *taup, npy_complex128 *x, int *ldx, npy_complex128 *y, int *ldy) nogil
cdef void zlabrd(int *m, int *n, int *nb, z *a, int *lda, d *d, d *e, z *tauq, z *taup, z *x, int *ldx, z *y, int *ldy) noexcept nogil:
    
    _fortran_zlabrd(m, n, nb, <npy_complex128*>a, lda, d, e, <npy_complex128*>tauq, <npy_complex128*>taup, <npy_complex128*>x, ldx, <npy_complex128*>y, ldy)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlacgv "BLAS_FUNC(zlacgv)"(int *n, npy_complex128 *x, int *incx) nogil
cdef void zlacgv(int *n, z *x, int *incx) noexcept nogil:
    
    _fortran_zlacgv(n, <npy_complex128*>x, incx)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlacn2 "BLAS_FUNC(zlacn2)"(int *n, npy_complex128 *v, npy_complex128 *x, d *est, int *kase, int *isave) nogil
cdef void zlacn2(int *n, z *v, z *x, d *est, int *kase, int *isave) noexcept nogil:
    
    _fortran_zlacn2(n, <npy_complex128*>v, <npy_complex128*>x, est, kase, isave)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlacon "BLAS_FUNC(zlacon)"(int *n, npy_complex128 *v, npy_complex128 *x, d *est, int *kase) nogil
cdef void zlacon(int *n, z *v, z *x, d *est, int *kase) noexcept nogil:
    
    _fortran_zlacon(n, <npy_complex128*>v, <npy_complex128*>x, est, kase)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlacp2 "BLAS_FUNC(zlacp2)"(char *uplo, int *m, int *n, d *a, int *lda, npy_complex128 *b, int *ldb) nogil
cdef void zlacp2(char *uplo, int *m, int *n, d *a, int *lda, z *b, int *ldb) noexcept nogil:
    
    _fortran_zlacp2(uplo, m, n, a, lda, <npy_complex128*>b, ldb)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlacpy "BLAS_FUNC(zlacpy)"(char *uplo, int *m, int *n, npy_complex128 *a, int *lda, npy_complex128 *b, int *ldb) nogil
cdef void zlacpy(char *uplo, int *m, int *n, z *a, int *lda, z *b, int *ldb) noexcept nogil:
    
    _fortran_zlacpy(uplo, m, n, <npy_complex128*>a, lda, <npy_complex128*>b, ldb)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlacrm "BLAS_FUNC(zlacrm)"(int *m, int *n, npy_complex128 *a, int *lda, d *b, int *ldb, npy_complex128 *c, int *ldc, d *rwork) nogil
cdef void zlacrm(int *m, int *n, z *a, int *lda, d *b, int *ldb, z *c, int *ldc, d *rwork) noexcept nogil:
    
    _fortran_zlacrm(m, n, <npy_complex128*>a, lda, b, ldb, <npy_complex128*>c, ldc, rwork)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlacrt "BLAS_FUNC(zlacrt)"(int *n, npy_complex128 *cx, int *incx, npy_complex128 *cy, int *incy, npy_complex128 *c, npy_complex128 *s) nogil
cdef void zlacrt(int *n, z *cx, int *incx, z *cy, int *incy, z *c, z *s) noexcept nogil:
    
    _fortran_zlacrt(n, <npy_complex128*>cx, incx, <npy_complex128*>cy, incy, <npy_complex128*>c, <npy_complex128*>s)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zladiv "F_FUNC(zladivwrp,ZLADIVWRP)"(npy_complex128 *out, npy_complex128 *x, npy_complex128 *y) nogil
cdef z zladiv(z *x, z *y) noexcept nogil:
    cdef z out
    _fortran_zladiv(<npy_complex128*>&out, <npy_complex128*>x, <npy_complex128*>y)
    return out

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlaed0 "BLAS_FUNC(zlaed0)"(int *qsiz, int *n, d *d, d *e, npy_complex128 *q, int *ldq, npy_complex128 *qstore, int *ldqs, d *rwork, int *iwork, int *info) nogil
cdef void zlaed0(int *qsiz, int *n, d *d, d *e, z *q, int *ldq, z *qstore, int *ldqs, d *rwork, int *iwork, int *info) noexcept nogil:
    
    _fortran_zlaed0(qsiz, n, d, e, <npy_complex128*>q, ldq, <npy_complex128*>qstore, ldqs, rwork, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlaed7 "BLAS_FUNC(zlaed7)"(int *n, int *cutpnt, int *qsiz, int *tlvls, int *curlvl, int *curpbm, d *d, npy_complex128 *q, int *ldq, d *rho, int *indxq, d *qstore, int *qptr, int *prmptr, int *perm, int *givptr, int *givcol, d *givnum, npy_complex128 *work, d *rwork, int *iwork, int *info) nogil
cdef void zlaed7(int *n, int *cutpnt, int *qsiz, int *tlvls, int *curlvl, int *curpbm, d *d, z *q, int *ldq, d *rho, int *indxq, d *qstore, int *qptr, int *prmptr, int *perm, int *givptr, int *givcol, d *givnum, z *work, d *rwork, int *iwork, int *info) noexcept nogil:
    
    _fortran_zlaed7(n, cutpnt, qsiz, tlvls, curlvl, curpbm, d, <npy_complex128*>q, ldq, rho, indxq, qstore, qptr, prmptr, perm, givptr, givcol, givnum, <npy_complex128*>work, rwork, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlaed8 "BLAS_FUNC(zlaed8)"(int *k, int *n, int *qsiz, npy_complex128 *q, int *ldq, d *d, d *rho, int *cutpnt, d *z, d *dlamda, npy_complex128 *q2, int *ldq2, d *w, int *indxp, int *indx, int *indxq, int *perm, int *givptr, int *givcol, d *givnum, int *info) nogil
cdef void zlaed8(int *k, int *n, int *qsiz, z *q, int *ldq, d *d, d *rho, int *cutpnt, d *z, d *dlamda, z *q2, int *ldq2, d *w, int *indxp, int *indx, int *indxq, int *perm, int *givptr, int *givcol, d *givnum, int *info) noexcept nogil:
    
    _fortran_zlaed8(k, n, qsiz, <npy_complex128*>q, ldq, d, rho, cutpnt, z, dlamda, <npy_complex128*>q2, ldq2, w, indxp, indx, indxq, perm, givptr, givcol, givnum, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlaein "BLAS_FUNC(zlaein)"(bint *rightv, bint *noinit, int *n, npy_complex128 *h, int *ldh, npy_complex128 *w, npy_complex128 *v, npy_complex128 *b, int *ldb, d *rwork, d *eps3, d *smlnum, int *info) nogil
cdef void zlaein(bint *rightv, bint *noinit, int *n, z *h, int *ldh, z *w, z *v, z *b, int *ldb, d *rwork, d *eps3, d *smlnum, int *info) noexcept nogil:
    
    _fortran_zlaein(rightv, noinit, n, <npy_complex128*>h, ldh, <npy_complex128*>w, <npy_complex128*>v, <npy_complex128*>b, ldb, rwork, eps3, smlnum, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlaesy "BLAS_FUNC(zlaesy)"(npy_complex128 *a, npy_complex128 *b, npy_complex128 *c, npy_complex128 *rt1, npy_complex128 *rt2, npy_complex128 *evscal, npy_complex128 *cs1, npy_complex128 *sn1) nogil
cdef void zlaesy(z *a, z *b, z *c, z *rt1, z *rt2, z *evscal, z *cs1, z *sn1) noexcept nogil:
    
    _fortran_zlaesy(<npy_complex128*>a, <npy_complex128*>b, <npy_complex128*>c, <npy_complex128*>rt1, <npy_complex128*>rt2, <npy_complex128*>evscal, <npy_complex128*>cs1, <npy_complex128*>sn1)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlaev2 "BLAS_FUNC(zlaev2)"(npy_complex128 *a, npy_complex128 *b, npy_complex128 *c, d *rt1, d *rt2, d *cs1, npy_complex128 *sn1) nogil
cdef void zlaev2(z *a, z *b, z *c, d *rt1, d *rt2, d *cs1, z *sn1) noexcept nogil:
    
    _fortran_zlaev2(<npy_complex128*>a, <npy_complex128*>b, <npy_complex128*>c, rt1, rt2, cs1, <npy_complex128*>sn1)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlag2c "BLAS_FUNC(zlag2c)"(int *m, int *n, npy_complex128 *a, int *lda, npy_complex64 *sa, int *ldsa, int *info) nogil
cdef void zlag2c(int *m, int *n, z *a, int *lda, c *sa, int *ldsa, int *info) noexcept nogil:
    
    _fortran_zlag2c(m, n, <npy_complex128*>a, lda, <npy_complex64*>sa, ldsa, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlags2 "BLAS_FUNC(zlags2)"(bint *upper, d *a1, npy_complex128 *a2, d *a3, d *b1, npy_complex128 *b2, d *b3, d *csu, npy_complex128 *snu, d *csv, npy_complex128 *snv, d *csq, npy_complex128 *snq) nogil
cdef void zlags2(bint *upper, d *a1, z *a2, d *a3, d *b1, z *b2, d *b3, d *csu, z *snu, d *csv, z *snv, d *csq, z *snq) noexcept nogil:
    
    _fortran_zlags2(upper, a1, <npy_complex128*>a2, a3, b1, <npy_complex128*>b2, b3, csu, <npy_complex128*>snu, csv, <npy_complex128*>snv, csq, <npy_complex128*>snq)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlagtm "BLAS_FUNC(zlagtm)"(char *trans, int *n, int *nrhs, d *alpha, npy_complex128 *dl, npy_complex128 *d, npy_complex128 *du, npy_complex128 *x, int *ldx, d *beta, npy_complex128 *b, int *ldb) nogil
cdef void zlagtm(char *trans, int *n, int *nrhs, d *alpha, z *dl, z *d, z *du, z *x, int *ldx, d *beta, z *b, int *ldb) noexcept nogil:
    
    _fortran_zlagtm(trans, n, nrhs, alpha, <npy_complex128*>dl, <npy_complex128*>d, <npy_complex128*>du, <npy_complex128*>x, ldx, beta, <npy_complex128*>b, ldb)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlahef "BLAS_FUNC(zlahef)"(char *uplo, int *n, int *nb, int *kb, npy_complex128 *a, int *lda, int *ipiv, npy_complex128 *w, int *ldw, int *info) nogil
cdef void zlahef(char *uplo, int *n, int *nb, int *kb, z *a, int *lda, int *ipiv, z *w, int *ldw, int *info) noexcept nogil:
    
    _fortran_zlahef(uplo, n, nb, kb, <npy_complex128*>a, lda, ipiv, <npy_complex128*>w, ldw, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlahqr "BLAS_FUNC(zlahqr)"(bint *wantt, bint *wantz, int *n, int *ilo, int *ihi, npy_complex128 *h, int *ldh, npy_complex128 *w, int *iloz, int *ihiz, npy_complex128 *z, int *ldz, int *info) nogil
cdef void zlahqr(bint *wantt, bint *wantz, int *n, int *ilo, int *ihi, z *h, int *ldh, z *w, int *iloz, int *ihiz, z *z, int *ldz, int *info) noexcept nogil:
    
    _fortran_zlahqr(wantt, wantz, n, ilo, ihi, <npy_complex128*>h, ldh, <npy_complex128*>w, iloz, ihiz, <npy_complex128*>z, ldz, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlahr2 "BLAS_FUNC(zlahr2)"(int *n, int *k, int *nb, npy_complex128 *a, int *lda, npy_complex128 *tau, npy_complex128 *t, int *ldt, npy_complex128 *y, int *ldy) nogil
cdef void zlahr2(int *n, int *k, int *nb, z *a, int *lda, z *tau, z *t, int *ldt, z *y, int *ldy) noexcept nogil:
    
    _fortran_zlahr2(n, k, nb, <npy_complex128*>a, lda, <npy_complex128*>tau, <npy_complex128*>t, ldt, <npy_complex128*>y, ldy)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlaic1 "BLAS_FUNC(zlaic1)"(int *job, int *j, npy_complex128 *x, d *sest, npy_complex128 *w, npy_complex128 *gamma, d *sestpr, npy_complex128 *s, npy_complex128 *c) nogil
cdef void zlaic1(int *job, int *j, z *x, d *sest, z *w, z *gamma, d *sestpr, z *s, z *c) noexcept nogil:
    
    _fortran_zlaic1(job, j, <npy_complex128*>x, sest, <npy_complex128*>w, <npy_complex128*>gamma, sestpr, <npy_complex128*>s, <npy_complex128*>c)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlals0 "BLAS_FUNC(zlals0)"(int *icompq, int *nl, int *nr, int *sqre, int *nrhs, npy_complex128 *b, int *ldb, npy_complex128 *bx, int *ldbx, int *perm, int *givptr, int *givcol, int *ldgcol, d *givnum, int *ldgnum, d *poles, d *difl, d *difr, d *z, int *k, d *c, d *s, d *rwork, int *info) nogil
cdef void zlals0(int *icompq, int *nl, int *nr, int *sqre, int *nrhs, z *b, int *ldb, z *bx, int *ldbx, int *perm, int *givptr, int *givcol, int *ldgcol, d *givnum, int *ldgnum, d *poles, d *difl, d *difr, d *z, int *k, d *c, d *s, d *rwork, int *info) noexcept nogil:
    
    _fortran_zlals0(icompq, nl, nr, sqre, nrhs, <npy_complex128*>b, ldb, <npy_complex128*>bx, ldbx, perm, givptr, givcol, ldgcol, givnum, ldgnum, poles, difl, difr, z, k, c, s, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlalsa "BLAS_FUNC(zlalsa)"(int *icompq, int *smlsiz, int *n, int *nrhs, npy_complex128 *b, int *ldb, npy_complex128 *bx, int *ldbx, d *u, int *ldu, d *vt, int *k, d *difl, d *difr, d *z, d *poles, int *givptr, int *givcol, int *ldgcol, int *perm, d *givnum, d *c, d *s, d *rwork, int *iwork, int *info) nogil
cdef void zlalsa(int *icompq, int *smlsiz, int *n, int *nrhs, z *b, int *ldb, z *bx, int *ldbx, d *u, int *ldu, d *vt, int *k, d *difl, d *difr, d *z, d *poles, int *givptr, int *givcol, int *ldgcol, int *perm, d *givnum, d *c, d *s, d *rwork, int *iwork, int *info) noexcept nogil:
    
    _fortran_zlalsa(icompq, smlsiz, n, nrhs, <npy_complex128*>b, ldb, <npy_complex128*>bx, ldbx, u, ldu, vt, k, difl, difr, z, poles, givptr, givcol, ldgcol, perm, givnum, c, s, rwork, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlalsd "BLAS_FUNC(zlalsd)"(char *uplo, int *smlsiz, int *n, int *nrhs, d *d, d *e, npy_complex128 *b, int *ldb, d *rcond, int *rank, npy_complex128 *work, d *rwork, int *iwork, int *info) nogil
cdef void zlalsd(char *uplo, int *smlsiz, int *n, int *nrhs, d *d, d *e, z *b, int *ldb, d *rcond, int *rank, z *work, d *rwork, int *iwork, int *info) noexcept nogil:
    
    _fortran_zlalsd(uplo, smlsiz, n, nrhs, d, e, <npy_complex128*>b, ldb, rcond, rank, <npy_complex128*>work, rwork, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    d _fortran_zlangb "BLAS_FUNC(zlangb)"(char *norm, int *n, int *kl, int *ku, npy_complex128 *ab, int *ldab, d *work) nogil
cdef d zlangb(char *norm, int *n, int *kl, int *ku, z *ab, int *ldab, d *work) noexcept nogil:
    
    return _fortran_zlangb(norm, n, kl, ku, <npy_complex128*>ab, ldab, work)
    

cdef extern from "_lapack_subroutines.h":
    d _fortran_zlange "BLAS_FUNC(zlange)"(char *norm, int *m, int *n, npy_complex128 *a, int *lda, d *work) nogil
cdef d zlange(char *norm, int *m, int *n, z *a, int *lda, d *work) noexcept nogil:
    
    return _fortran_zlange(norm, m, n, <npy_complex128*>a, lda, work)
    

cdef extern from "_lapack_subroutines.h":
    d _fortran_zlangt "BLAS_FUNC(zlangt)"(char *norm, int *n, npy_complex128 *dl, npy_complex128 *d_, npy_complex128 *du) nogil
cdef d zlangt(char *norm, int *n, z *dl, z *d_, z *du) noexcept nogil:
    
    return _fortran_zlangt(norm, n, <npy_complex128*>dl, <npy_complex128*>d_, <npy_complex128*>du)
    

cdef extern from "_lapack_subroutines.h":
    d _fortran_zlanhb "BLAS_FUNC(zlanhb)"(char *norm, char *uplo, int *n, int *k, npy_complex128 *ab, int *ldab, d *work) nogil
cdef d zlanhb(char *norm, char *uplo, int *n, int *k, z *ab, int *ldab, d *work) noexcept nogil:
    
    return _fortran_zlanhb(norm, uplo, n, k, <npy_complex128*>ab, ldab, work)
    

cdef extern from "_lapack_subroutines.h":
    d _fortran_zlanhe "BLAS_FUNC(zlanhe)"(char *norm, char *uplo, int *n, npy_complex128 *a, int *lda, d *work) nogil
cdef d zlanhe(char *norm, char *uplo, int *n, z *a, int *lda, d *work) noexcept nogil:
    
    return _fortran_zlanhe(norm, uplo, n, <npy_complex128*>a, lda, work)
    

cdef extern from "_lapack_subroutines.h":
    d _fortran_zlanhf "BLAS_FUNC(zlanhf)"(char *norm, char *transr, char *uplo, int *n, npy_complex128 *a, d *work) nogil
cdef d zlanhf(char *norm, char *transr, char *uplo, int *n, z *a, d *work) noexcept nogil:
    
    return _fortran_zlanhf(norm, transr, uplo, n, <npy_complex128*>a, work)
    

cdef extern from "_lapack_subroutines.h":
    d _fortran_zlanhp "BLAS_FUNC(zlanhp)"(char *norm, char *uplo, int *n, npy_complex128 *ap, d *work) nogil
cdef d zlanhp(char *norm, char *uplo, int *n, z *ap, d *work) noexcept nogil:
    
    return _fortran_zlanhp(norm, uplo, n, <npy_complex128*>ap, work)
    

cdef extern from "_lapack_subroutines.h":
    d _fortran_zlanhs "BLAS_FUNC(zlanhs)"(char *norm, int *n, npy_complex128 *a, int *lda, d *work) nogil
cdef d zlanhs(char *norm, int *n, z *a, int *lda, d *work) noexcept nogil:
    
    return _fortran_zlanhs(norm, n, <npy_complex128*>a, lda, work)
    

cdef extern from "_lapack_subroutines.h":
    d _fortran_zlanht "BLAS_FUNC(zlanht)"(char *norm, int *n, d *d_, npy_complex128 *e) nogil
cdef d zlanht(char *norm, int *n, d *d_, z *e) noexcept nogil:
    
    return _fortran_zlanht(norm, n, d_, <npy_complex128*>e)
    

cdef extern from "_lapack_subroutines.h":
    d _fortran_zlansb "BLAS_FUNC(zlansb)"(char *norm, char *uplo, int *n, int *k, npy_complex128 *ab, int *ldab, d *work) nogil
cdef d zlansb(char *norm, char *uplo, int *n, int *k, z *ab, int *ldab, d *work) noexcept nogil:
    
    return _fortran_zlansb(norm, uplo, n, k, <npy_complex128*>ab, ldab, work)
    

cdef extern from "_lapack_subroutines.h":
    d _fortran_zlansp "BLAS_FUNC(zlansp)"(char *norm, char *uplo, int *n, npy_complex128 *ap, d *work) nogil
cdef d zlansp(char *norm, char *uplo, int *n, z *ap, d *work) noexcept nogil:
    
    return _fortran_zlansp(norm, uplo, n, <npy_complex128*>ap, work)
    

cdef extern from "_lapack_subroutines.h":
    d _fortran_zlansy "BLAS_FUNC(zlansy)"(char *norm, char *uplo, int *n, npy_complex128 *a, int *lda, d *work) nogil
cdef d zlansy(char *norm, char *uplo, int *n, z *a, int *lda, d *work) noexcept nogil:
    
    return _fortran_zlansy(norm, uplo, n, <npy_complex128*>a, lda, work)
    

cdef extern from "_lapack_subroutines.h":
    d _fortran_zlantb "BLAS_FUNC(zlantb)"(char *norm, char *uplo, char *diag, int *n, int *k, npy_complex128 *ab, int *ldab, d *work) nogil
cdef d zlantb(char *norm, char *uplo, char *diag, int *n, int *k, z *ab, int *ldab, d *work) noexcept nogil:
    
    return _fortran_zlantb(norm, uplo, diag, n, k, <npy_complex128*>ab, ldab, work)
    

cdef extern from "_lapack_subroutines.h":
    d _fortran_zlantp "BLAS_FUNC(zlantp)"(char *norm, char *uplo, char *diag, int *n, npy_complex128 *ap, d *work) nogil
cdef d zlantp(char *norm, char *uplo, char *diag, int *n, z *ap, d *work) noexcept nogil:
    
    return _fortran_zlantp(norm, uplo, diag, n, <npy_complex128*>ap, work)
    

cdef extern from "_lapack_subroutines.h":
    d _fortran_zlantr "BLAS_FUNC(zlantr)"(char *norm, char *uplo, char *diag, int *m, int *n, npy_complex128 *a, int *lda, d *work) nogil
cdef d zlantr(char *norm, char *uplo, char *diag, int *m, int *n, z *a, int *lda, d *work) noexcept nogil:
    
    return _fortran_zlantr(norm, uplo, diag, m, n, <npy_complex128*>a, lda, work)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlapll "BLAS_FUNC(zlapll)"(int *n, npy_complex128 *x, int *incx, npy_complex128 *y, int *incy, d *ssmin) nogil
cdef void zlapll(int *n, z *x, int *incx, z *y, int *incy, d *ssmin) noexcept nogil:
    
    _fortran_zlapll(n, <npy_complex128*>x, incx, <npy_complex128*>y, incy, ssmin)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlapmr "BLAS_FUNC(zlapmr)"(bint *forwrd, int *m, int *n, npy_complex128 *x, int *ldx, int *k) nogil
cdef void zlapmr(bint *forwrd, int *m, int *n, z *x, int *ldx, int *k) noexcept nogil:
    
    _fortran_zlapmr(forwrd, m, n, <npy_complex128*>x, ldx, k)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlapmt "BLAS_FUNC(zlapmt)"(bint *forwrd, int *m, int *n, npy_complex128 *x, int *ldx, int *k) nogil
cdef void zlapmt(bint *forwrd, int *m, int *n, z *x, int *ldx, int *k) noexcept nogil:
    
    _fortran_zlapmt(forwrd, m, n, <npy_complex128*>x, ldx, k)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlaqgb "BLAS_FUNC(zlaqgb)"(int *m, int *n, int *kl, int *ku, npy_complex128 *ab, int *ldab, d *r, d *c, d *rowcnd, d *colcnd, d *amax, char *equed) nogil
cdef void zlaqgb(int *m, int *n, int *kl, int *ku, z *ab, int *ldab, d *r, d *c, d *rowcnd, d *colcnd, d *amax, char *equed) noexcept nogil:
    
    _fortran_zlaqgb(m, n, kl, ku, <npy_complex128*>ab, ldab, r, c, rowcnd, colcnd, amax, equed)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlaqge "BLAS_FUNC(zlaqge)"(int *m, int *n, npy_complex128 *a, int *lda, d *r, d *c, d *rowcnd, d *colcnd, d *amax, char *equed) nogil
cdef void zlaqge(int *m, int *n, z *a, int *lda, d *r, d *c, d *rowcnd, d *colcnd, d *amax, char *equed) noexcept nogil:
    
    _fortran_zlaqge(m, n, <npy_complex128*>a, lda, r, c, rowcnd, colcnd, amax, equed)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlaqhb "BLAS_FUNC(zlaqhb)"(char *uplo, int *n, int *kd, npy_complex128 *ab, int *ldab, d *s, d *scond, d *amax, char *equed) nogil
cdef void zlaqhb(char *uplo, int *n, int *kd, z *ab, int *ldab, d *s, d *scond, d *amax, char *equed) noexcept nogil:
    
    _fortran_zlaqhb(uplo, n, kd, <npy_complex128*>ab, ldab, s, scond, amax, equed)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlaqhe "BLAS_FUNC(zlaqhe)"(char *uplo, int *n, npy_complex128 *a, int *lda, d *s, d *scond, d *amax, char *equed) nogil
cdef void zlaqhe(char *uplo, int *n, z *a, int *lda, d *s, d *scond, d *amax, char *equed) noexcept nogil:
    
    _fortran_zlaqhe(uplo, n, <npy_complex128*>a, lda, s, scond, amax, equed)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlaqhp "BLAS_FUNC(zlaqhp)"(char *uplo, int *n, npy_complex128 *ap, d *s, d *scond, d *amax, char *equed) nogil
cdef void zlaqhp(char *uplo, int *n, z *ap, d *s, d *scond, d *amax, char *equed) noexcept nogil:
    
    _fortran_zlaqhp(uplo, n, <npy_complex128*>ap, s, scond, amax, equed)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlaqp2 "BLAS_FUNC(zlaqp2)"(int *m, int *n, int *offset, npy_complex128 *a, int *lda, int *jpvt, npy_complex128 *tau, d *vn1, d *vn2, npy_complex128 *work) nogil
cdef void zlaqp2(int *m, int *n, int *offset, z *a, int *lda, int *jpvt, z *tau, d *vn1, d *vn2, z *work) noexcept nogil:
    
    _fortran_zlaqp2(m, n, offset, <npy_complex128*>a, lda, jpvt, <npy_complex128*>tau, vn1, vn2, <npy_complex128*>work)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlaqps "BLAS_FUNC(zlaqps)"(int *m, int *n, int *offset, int *nb, int *kb, npy_complex128 *a, int *lda, int *jpvt, npy_complex128 *tau, d *vn1, d *vn2, npy_complex128 *auxv, npy_complex128 *f, int *ldf) nogil
cdef void zlaqps(int *m, int *n, int *offset, int *nb, int *kb, z *a, int *lda, int *jpvt, z *tau, d *vn1, d *vn2, z *auxv, z *f, int *ldf) noexcept nogil:
    
    _fortran_zlaqps(m, n, offset, nb, kb, <npy_complex128*>a, lda, jpvt, <npy_complex128*>tau, vn1, vn2, <npy_complex128*>auxv, <npy_complex128*>f, ldf)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlaqr0 "BLAS_FUNC(zlaqr0)"(bint *wantt, bint *wantz, int *n, int *ilo, int *ihi, npy_complex128 *h, int *ldh, npy_complex128 *w, int *iloz, int *ihiz, npy_complex128 *z, int *ldz, npy_complex128 *work, int *lwork, int *info) nogil
cdef void zlaqr0(bint *wantt, bint *wantz, int *n, int *ilo, int *ihi, z *h, int *ldh, z *w, int *iloz, int *ihiz, z *z, int *ldz, z *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_zlaqr0(wantt, wantz, n, ilo, ihi, <npy_complex128*>h, ldh, <npy_complex128*>w, iloz, ihiz, <npy_complex128*>z, ldz, <npy_complex128*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlaqr1 "BLAS_FUNC(zlaqr1)"(int *n, npy_complex128 *h, int *ldh, npy_complex128 *s1, npy_complex128 *s2, npy_complex128 *v) nogil
cdef void zlaqr1(int *n, z *h, int *ldh, z *s1, z *s2, z *v) noexcept nogil:
    
    _fortran_zlaqr1(n, <npy_complex128*>h, ldh, <npy_complex128*>s1, <npy_complex128*>s2, <npy_complex128*>v)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlaqr2 "BLAS_FUNC(zlaqr2)"(bint *wantt, bint *wantz, int *n, int *ktop, int *kbot, int *nw, npy_complex128 *h, int *ldh, int *iloz, int *ihiz, npy_complex128 *z, int *ldz, int *ns, int *nd, npy_complex128 *sh, npy_complex128 *v, int *ldv, int *nh, npy_complex128 *t, int *ldt, int *nv, npy_complex128 *wv, int *ldwv, npy_complex128 *work, int *lwork) nogil
cdef void zlaqr2(bint *wantt, bint *wantz, int *n, int *ktop, int *kbot, int *nw, z *h, int *ldh, int *iloz, int *ihiz, z *z, int *ldz, int *ns, int *nd, z *sh, z *v, int *ldv, int *nh, z *t, int *ldt, int *nv, z *wv, int *ldwv, z *work, int *lwork) noexcept nogil:
    
    _fortran_zlaqr2(wantt, wantz, n, ktop, kbot, nw, <npy_complex128*>h, ldh, iloz, ihiz, <npy_complex128*>z, ldz, ns, nd, <npy_complex128*>sh, <npy_complex128*>v, ldv, nh, <npy_complex128*>t, ldt, nv, <npy_complex128*>wv, ldwv, <npy_complex128*>work, lwork)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlaqr3 "BLAS_FUNC(zlaqr3)"(bint *wantt, bint *wantz, int *n, int *ktop, int *kbot, int *nw, npy_complex128 *h, int *ldh, int *iloz, int *ihiz, npy_complex128 *z, int *ldz, int *ns, int *nd, npy_complex128 *sh, npy_complex128 *v, int *ldv, int *nh, npy_complex128 *t, int *ldt, int *nv, npy_complex128 *wv, int *ldwv, npy_complex128 *work, int *lwork) nogil
cdef void zlaqr3(bint *wantt, bint *wantz, int *n, int *ktop, int *kbot, int *nw, z *h, int *ldh, int *iloz, int *ihiz, z *z, int *ldz, int *ns, int *nd, z *sh, z *v, int *ldv, int *nh, z *t, int *ldt, int *nv, z *wv, int *ldwv, z *work, int *lwork) noexcept nogil:
    
    _fortran_zlaqr3(wantt, wantz, n, ktop, kbot, nw, <npy_complex128*>h, ldh, iloz, ihiz, <npy_complex128*>z, ldz, ns, nd, <npy_complex128*>sh, <npy_complex128*>v, ldv, nh, <npy_complex128*>t, ldt, nv, <npy_complex128*>wv, ldwv, <npy_complex128*>work, lwork)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlaqr4 "BLAS_FUNC(zlaqr4)"(bint *wantt, bint *wantz, int *n, int *ilo, int *ihi, npy_complex128 *h, int *ldh, npy_complex128 *w, int *iloz, int *ihiz, npy_complex128 *z, int *ldz, npy_complex128 *work, int *lwork, int *info) nogil
cdef void zlaqr4(bint *wantt, bint *wantz, int *n, int *ilo, int *ihi, z *h, int *ldh, z *w, int *iloz, int *ihiz, z *z, int *ldz, z *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_zlaqr4(wantt, wantz, n, ilo, ihi, <npy_complex128*>h, ldh, <npy_complex128*>w, iloz, ihiz, <npy_complex128*>z, ldz, <npy_complex128*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlaqr5 "BLAS_FUNC(zlaqr5)"(bint *wantt, bint *wantz, int *kacc22, int *n, int *ktop, int *kbot, int *nshfts, npy_complex128 *s, npy_complex128 *h, int *ldh, int *iloz, int *ihiz, npy_complex128 *z, int *ldz, npy_complex128 *v, int *ldv, npy_complex128 *u, int *ldu, int *nv, npy_complex128 *wv, int *ldwv, int *nh, npy_complex128 *wh, int *ldwh) nogil
cdef void zlaqr5(bint *wantt, bint *wantz, int *kacc22, int *n, int *ktop, int *kbot, int *nshfts, z *s, z *h, int *ldh, int *iloz, int *ihiz, z *z, int *ldz, z *v, int *ldv, z *u, int *ldu, int *nv, z *wv, int *ldwv, int *nh, z *wh, int *ldwh) noexcept nogil:
    
    _fortran_zlaqr5(wantt, wantz, kacc22, n, ktop, kbot, nshfts, <npy_complex128*>s, <npy_complex128*>h, ldh, iloz, ihiz, <npy_complex128*>z, ldz, <npy_complex128*>v, ldv, <npy_complex128*>u, ldu, nv, <npy_complex128*>wv, ldwv, nh, <npy_complex128*>wh, ldwh)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlaqsb "BLAS_FUNC(zlaqsb)"(char *uplo, int *n, int *kd, npy_complex128 *ab, int *ldab, d *s, d *scond, d *amax, char *equed) nogil
cdef void zlaqsb(char *uplo, int *n, int *kd, z *ab, int *ldab, d *s, d *scond, d *amax, char *equed) noexcept nogil:
    
    _fortran_zlaqsb(uplo, n, kd, <npy_complex128*>ab, ldab, s, scond, amax, equed)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlaqsp "BLAS_FUNC(zlaqsp)"(char *uplo, int *n, npy_complex128 *ap, d *s, d *scond, d *amax, char *equed) nogil
cdef void zlaqsp(char *uplo, int *n, z *ap, d *s, d *scond, d *amax, char *equed) noexcept nogil:
    
    _fortran_zlaqsp(uplo, n, <npy_complex128*>ap, s, scond, amax, equed)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlaqsy "BLAS_FUNC(zlaqsy)"(char *uplo, int *n, npy_complex128 *a, int *lda, d *s, d *scond, d *amax, char *equed) nogil
cdef void zlaqsy(char *uplo, int *n, z *a, int *lda, d *s, d *scond, d *amax, char *equed) noexcept nogil:
    
    _fortran_zlaqsy(uplo, n, <npy_complex128*>a, lda, s, scond, amax, equed)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlar1v "BLAS_FUNC(zlar1v)"(int *n, int *b1, int *bn, d *lambda_, d *d, d *l, d *ld, d *lld, d *pivmin, d *gaptol, npy_complex128 *z, bint *wantnc, int *negcnt, d *ztz, d *mingma, int *r, int *isuppz, d *nrminv, d *resid, d *rqcorr, d *work) nogil
cdef void zlar1v(int *n, int *b1, int *bn, d *lambda_, d *d, d *l, d *ld, d *lld, d *pivmin, d *gaptol, z *z, bint *wantnc, int *negcnt, d *ztz, d *mingma, int *r, int *isuppz, d *nrminv, d *resid, d *rqcorr, d *work) noexcept nogil:
    
    _fortran_zlar1v(n, b1, bn, lambda_, d, l, ld, lld, pivmin, gaptol, <npy_complex128*>z, wantnc, negcnt, ztz, mingma, r, isuppz, nrminv, resid, rqcorr, work)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlar2v "BLAS_FUNC(zlar2v)"(int *n, npy_complex128 *x, npy_complex128 *y, npy_complex128 *z, int *incx, d *c, npy_complex128 *s, int *incc) nogil
cdef void zlar2v(int *n, z *x, z *y, z *z, int *incx, d *c, z *s, int *incc) noexcept nogil:
    
    _fortran_zlar2v(n, <npy_complex128*>x, <npy_complex128*>y, <npy_complex128*>z, incx, c, <npy_complex128*>s, incc)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlarcm "BLAS_FUNC(zlarcm)"(int *m, int *n, d *a, int *lda, npy_complex128 *b, int *ldb, npy_complex128 *c, int *ldc, d *rwork) nogil
cdef void zlarcm(int *m, int *n, d *a, int *lda, z *b, int *ldb, z *c, int *ldc, d *rwork) noexcept nogil:
    
    _fortran_zlarcm(m, n, a, lda, <npy_complex128*>b, ldb, <npy_complex128*>c, ldc, rwork)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlarf "BLAS_FUNC(zlarf)"(char *side, int *m, int *n, npy_complex128 *v, int *incv, npy_complex128 *tau, npy_complex128 *c, int *ldc, npy_complex128 *work) nogil
cdef void zlarf(char *side, int *m, int *n, z *v, int *incv, z *tau, z *c, int *ldc, z *work) noexcept nogil:
    
    _fortran_zlarf(side, m, n, <npy_complex128*>v, incv, <npy_complex128*>tau, <npy_complex128*>c, ldc, <npy_complex128*>work)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlarfb "BLAS_FUNC(zlarfb)"(char *side, char *trans, char *direct, char *storev, int *m, int *n, int *k, npy_complex128 *v, int *ldv, npy_complex128 *t, int *ldt, npy_complex128 *c, int *ldc, npy_complex128 *work, int *ldwork) nogil
cdef void zlarfb(char *side, char *trans, char *direct, char *storev, int *m, int *n, int *k, z *v, int *ldv, z *t, int *ldt, z *c, int *ldc, z *work, int *ldwork) noexcept nogil:
    
    _fortran_zlarfb(side, trans, direct, storev, m, n, k, <npy_complex128*>v, ldv, <npy_complex128*>t, ldt, <npy_complex128*>c, ldc, <npy_complex128*>work, ldwork)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlarfg "BLAS_FUNC(zlarfg)"(int *n, npy_complex128 *alpha, npy_complex128 *x, int *incx, npy_complex128 *tau) nogil
cdef void zlarfg(int *n, z *alpha, z *x, int *incx, z *tau) noexcept nogil:
    
    _fortran_zlarfg(n, <npy_complex128*>alpha, <npy_complex128*>x, incx, <npy_complex128*>tau)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlarfgp "BLAS_FUNC(zlarfgp)"(int *n, npy_complex128 *alpha, npy_complex128 *x, int *incx, npy_complex128 *tau) nogil
cdef void zlarfgp(int *n, z *alpha, z *x, int *incx, z *tau) noexcept nogil:
    
    _fortran_zlarfgp(n, <npy_complex128*>alpha, <npy_complex128*>x, incx, <npy_complex128*>tau)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlarft "BLAS_FUNC(zlarft)"(char *direct, char *storev, int *n, int *k, npy_complex128 *v, int *ldv, npy_complex128 *tau, npy_complex128 *t, int *ldt) nogil
cdef void zlarft(char *direct, char *storev, int *n, int *k, z *v, int *ldv, z *tau, z *t, int *ldt) noexcept nogil:
    
    _fortran_zlarft(direct, storev, n, k, <npy_complex128*>v, ldv, <npy_complex128*>tau, <npy_complex128*>t, ldt)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlarfx "BLAS_FUNC(zlarfx)"(char *side, int *m, int *n, npy_complex128 *v, npy_complex128 *tau, npy_complex128 *c, int *ldc, npy_complex128 *work) nogil
cdef void zlarfx(char *side, int *m, int *n, z *v, z *tau, z *c, int *ldc, z *work) noexcept nogil:
    
    _fortran_zlarfx(side, m, n, <npy_complex128*>v, <npy_complex128*>tau, <npy_complex128*>c, ldc, <npy_complex128*>work)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlargv "BLAS_FUNC(zlargv)"(int *n, npy_complex128 *x, int *incx, npy_complex128 *y, int *incy, d *c, int *incc) nogil
cdef void zlargv(int *n, z *x, int *incx, z *y, int *incy, d *c, int *incc) noexcept nogil:
    
    _fortran_zlargv(n, <npy_complex128*>x, incx, <npy_complex128*>y, incy, c, incc)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlarnv "BLAS_FUNC(zlarnv)"(int *idist, int *iseed, int *n, npy_complex128 *x) nogil
cdef void zlarnv(int *idist, int *iseed, int *n, z *x) noexcept nogil:
    
    _fortran_zlarnv(idist, iseed, n, <npy_complex128*>x)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlarrv "BLAS_FUNC(zlarrv)"(int *n, d *vl, d *vu, d *d, d *l, d *pivmin, int *isplit, int *m, int *dol, int *dou, d *minrgp, d *rtol1, d *rtol2, d *w, d *werr, d *wgap, int *iblock, int *indexw, d *gers, npy_complex128 *z, int *ldz, int *isuppz, d *work, int *iwork, int *info) nogil
cdef void zlarrv(int *n, d *vl, d *vu, d *d, d *l, d *pivmin, int *isplit, int *m, int *dol, int *dou, d *minrgp, d *rtol1, d *rtol2, d *w, d *werr, d *wgap, int *iblock, int *indexw, d *gers, z *z, int *ldz, int *isuppz, d *work, int *iwork, int *info) noexcept nogil:
    
    _fortran_zlarrv(n, vl, vu, d, l, pivmin, isplit, m, dol, dou, minrgp, rtol1, rtol2, w, werr, wgap, iblock, indexw, gers, <npy_complex128*>z, ldz, isuppz, work, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlartg "BLAS_FUNC(zlartg)"(npy_complex128 *f, npy_complex128 *g, d *cs, npy_complex128 *sn, npy_complex128 *r) nogil
cdef void zlartg(z *f, z *g, d *cs, z *sn, z *r) noexcept nogil:
    
    _fortran_zlartg(<npy_complex128*>f, <npy_complex128*>g, cs, <npy_complex128*>sn, <npy_complex128*>r)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlartv "BLAS_FUNC(zlartv)"(int *n, npy_complex128 *x, int *incx, npy_complex128 *y, int *incy, d *c, npy_complex128 *s, int *incc) nogil
cdef void zlartv(int *n, z *x, int *incx, z *y, int *incy, d *c, z *s, int *incc) noexcept nogil:
    
    _fortran_zlartv(n, <npy_complex128*>x, incx, <npy_complex128*>y, incy, c, <npy_complex128*>s, incc)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlarz "BLAS_FUNC(zlarz)"(char *side, int *m, int *n, int *l, npy_complex128 *v, int *incv, npy_complex128 *tau, npy_complex128 *c, int *ldc, npy_complex128 *work) nogil
cdef void zlarz(char *side, int *m, int *n, int *l, z *v, int *incv, z *tau, z *c, int *ldc, z *work) noexcept nogil:
    
    _fortran_zlarz(side, m, n, l, <npy_complex128*>v, incv, <npy_complex128*>tau, <npy_complex128*>c, ldc, <npy_complex128*>work)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlarzb "BLAS_FUNC(zlarzb)"(char *side, char *trans, char *direct, char *storev, int *m, int *n, int *k, int *l, npy_complex128 *v, int *ldv, npy_complex128 *t, int *ldt, npy_complex128 *c, int *ldc, npy_complex128 *work, int *ldwork) nogil
cdef void zlarzb(char *side, char *trans, char *direct, char *storev, int *m, int *n, int *k, int *l, z *v, int *ldv, z *t, int *ldt, z *c, int *ldc, z *work, int *ldwork) noexcept nogil:
    
    _fortran_zlarzb(side, trans, direct, storev, m, n, k, l, <npy_complex128*>v, ldv, <npy_complex128*>t, ldt, <npy_complex128*>c, ldc, <npy_complex128*>work, ldwork)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlarzt "BLAS_FUNC(zlarzt)"(char *direct, char *storev, int *n, int *k, npy_complex128 *v, int *ldv, npy_complex128 *tau, npy_complex128 *t, int *ldt) nogil
cdef void zlarzt(char *direct, char *storev, int *n, int *k, z *v, int *ldv, z *tau, z *t, int *ldt) noexcept nogil:
    
    _fortran_zlarzt(direct, storev, n, k, <npy_complex128*>v, ldv, <npy_complex128*>tau, <npy_complex128*>t, ldt)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlascl "BLAS_FUNC(zlascl)"(char *type_bn, int *kl, int *ku, d *cfrom, d *cto, int *m, int *n, npy_complex128 *a, int *lda, int *info) nogil
cdef void zlascl(char *type_bn, int *kl, int *ku, d *cfrom, d *cto, int *m, int *n, z *a, int *lda, int *info) noexcept nogil:
    
    _fortran_zlascl(type_bn, kl, ku, cfrom, cto, m, n, <npy_complex128*>a, lda, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlaset "BLAS_FUNC(zlaset)"(char *uplo, int *m, int *n, npy_complex128 *alpha, npy_complex128 *beta, npy_complex128 *a, int *lda) nogil
cdef void zlaset(char *uplo, int *m, int *n, z *alpha, z *beta, z *a, int *lda) noexcept nogil:
    
    _fortran_zlaset(uplo, m, n, <npy_complex128*>alpha, <npy_complex128*>beta, <npy_complex128*>a, lda)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlasr "BLAS_FUNC(zlasr)"(char *side, char *pivot, char *direct, int *m, int *n, d *c, d *s, npy_complex128 *a, int *lda) nogil
cdef void zlasr(char *side, char *pivot, char *direct, int *m, int *n, d *c, d *s, z *a, int *lda) noexcept nogil:
    
    _fortran_zlasr(side, pivot, direct, m, n, c, s, <npy_complex128*>a, lda)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlassq "BLAS_FUNC(zlassq)"(int *n, npy_complex128 *x, int *incx, d *scale, d *sumsq) nogil
cdef void zlassq(int *n, z *x, int *incx, d *scale, d *sumsq) noexcept nogil:
    
    _fortran_zlassq(n, <npy_complex128*>x, incx, scale, sumsq)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlaswp "BLAS_FUNC(zlaswp)"(int *n, npy_complex128 *a, int *lda, int *k1, int *k2, int *ipiv, int *incx) nogil
cdef void zlaswp(int *n, z *a, int *lda, int *k1, int *k2, int *ipiv, int *incx) noexcept nogil:
    
    _fortran_zlaswp(n, <npy_complex128*>a, lda, k1, k2, ipiv, incx)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlasyf "BLAS_FUNC(zlasyf)"(char *uplo, int *n, int *nb, int *kb, npy_complex128 *a, int *lda, int *ipiv, npy_complex128 *w, int *ldw, int *info) nogil
cdef void zlasyf(char *uplo, int *n, int *nb, int *kb, z *a, int *lda, int *ipiv, z *w, int *ldw, int *info) noexcept nogil:
    
    _fortran_zlasyf(uplo, n, nb, kb, <npy_complex128*>a, lda, ipiv, <npy_complex128*>w, ldw, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlat2c "BLAS_FUNC(zlat2c)"(char *uplo, int *n, npy_complex128 *a, int *lda, npy_complex64 *sa, int *ldsa, int *info) nogil
cdef void zlat2c(char *uplo, int *n, z *a, int *lda, c *sa, int *ldsa, int *info) noexcept nogil:
    
    _fortran_zlat2c(uplo, n, <npy_complex128*>a, lda, <npy_complex64*>sa, ldsa, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlatbs "BLAS_FUNC(zlatbs)"(char *uplo, char *trans, char *diag, char *normin, int *n, int *kd, npy_complex128 *ab, int *ldab, npy_complex128 *x, d *scale, d *cnorm, int *info) nogil
cdef void zlatbs(char *uplo, char *trans, char *diag, char *normin, int *n, int *kd, z *ab, int *ldab, z *x, d *scale, d *cnorm, int *info) noexcept nogil:
    
    _fortran_zlatbs(uplo, trans, diag, normin, n, kd, <npy_complex128*>ab, ldab, <npy_complex128*>x, scale, cnorm, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlatdf "BLAS_FUNC(zlatdf)"(int *ijob, int *n, npy_complex128 *z, int *ldz, npy_complex128 *rhs, d *rdsum, d *rdscal, int *ipiv, int *jpiv) nogil
cdef void zlatdf(int *ijob, int *n, z *z, int *ldz, z *rhs, d *rdsum, d *rdscal, int *ipiv, int *jpiv) noexcept nogil:
    
    _fortran_zlatdf(ijob, n, <npy_complex128*>z, ldz, <npy_complex128*>rhs, rdsum, rdscal, ipiv, jpiv)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlatps "BLAS_FUNC(zlatps)"(char *uplo, char *trans, char *diag, char *normin, int *n, npy_complex128 *ap, npy_complex128 *x, d *scale, d *cnorm, int *info) nogil
cdef void zlatps(char *uplo, char *trans, char *diag, char *normin, int *n, z *ap, z *x, d *scale, d *cnorm, int *info) noexcept nogil:
    
    _fortran_zlatps(uplo, trans, diag, normin, n, <npy_complex128*>ap, <npy_complex128*>x, scale, cnorm, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlatrd "BLAS_FUNC(zlatrd)"(char *uplo, int *n, int *nb, npy_complex128 *a, int *lda, d *e, npy_complex128 *tau, npy_complex128 *w, int *ldw) nogil
cdef void zlatrd(char *uplo, int *n, int *nb, z *a, int *lda, d *e, z *tau, z *w, int *ldw) noexcept nogil:
    
    _fortran_zlatrd(uplo, n, nb, <npy_complex128*>a, lda, e, <npy_complex128*>tau, <npy_complex128*>w, ldw)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlatrs "BLAS_FUNC(zlatrs)"(char *uplo, char *trans, char *diag, char *normin, int *n, npy_complex128 *a, int *lda, npy_complex128 *x, d *scale, d *cnorm, int *info) nogil
cdef void zlatrs(char *uplo, char *trans, char *diag, char *normin, int *n, z *a, int *lda, z *x, d *scale, d *cnorm, int *info) noexcept nogil:
    
    _fortran_zlatrs(uplo, trans, diag, normin, n, <npy_complex128*>a, lda, <npy_complex128*>x, scale, cnorm, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlatrz "BLAS_FUNC(zlatrz)"(int *m, int *n, int *l, npy_complex128 *a, int *lda, npy_complex128 *tau, npy_complex128 *work) nogil
cdef void zlatrz(int *m, int *n, int *l, z *a, int *lda, z *tau, z *work) noexcept nogil:
    
    _fortran_zlatrz(m, n, l, <npy_complex128*>a, lda, <npy_complex128*>tau, <npy_complex128*>work)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlauu2 "BLAS_FUNC(zlauu2)"(char *uplo, int *n, npy_complex128 *a, int *lda, int *info) nogil
cdef void zlauu2(char *uplo, int *n, z *a, int *lda, int *info) noexcept nogil:
    
    _fortran_zlauu2(uplo, n, <npy_complex128*>a, lda, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zlauum "BLAS_FUNC(zlauum)"(char *uplo, int *n, npy_complex128 *a, int *lda, int *info) nogil
cdef void zlauum(char *uplo, int *n, z *a, int *lda, int *info) noexcept nogil:
    
    _fortran_zlauum(uplo, n, <npy_complex128*>a, lda, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zpbcon "BLAS_FUNC(zpbcon)"(char *uplo, int *n, int *kd, npy_complex128 *ab, int *ldab, d *anorm, d *rcond, npy_complex128 *work, d *rwork, int *info) nogil
cdef void zpbcon(char *uplo, int *n, int *kd, z *ab, int *ldab, d *anorm, d *rcond, z *work, d *rwork, int *info) noexcept nogil:
    
    _fortran_zpbcon(uplo, n, kd, <npy_complex128*>ab, ldab, anorm, rcond, <npy_complex128*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zpbequ "BLAS_FUNC(zpbequ)"(char *uplo, int *n, int *kd, npy_complex128 *ab, int *ldab, d *s, d *scond, d *amax, int *info) nogil
cdef void zpbequ(char *uplo, int *n, int *kd, z *ab, int *ldab, d *s, d *scond, d *amax, int *info) noexcept nogil:
    
    _fortran_zpbequ(uplo, n, kd, <npy_complex128*>ab, ldab, s, scond, amax, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zpbrfs "BLAS_FUNC(zpbrfs)"(char *uplo, int *n, int *kd, int *nrhs, npy_complex128 *ab, int *ldab, npy_complex128 *afb, int *ldafb, npy_complex128 *b, int *ldb, npy_complex128 *x, int *ldx, d *ferr, d *berr, npy_complex128 *work, d *rwork, int *info) nogil
cdef void zpbrfs(char *uplo, int *n, int *kd, int *nrhs, z *ab, int *ldab, z *afb, int *ldafb, z *b, int *ldb, z *x, int *ldx, d *ferr, d *berr, z *work, d *rwork, int *info) noexcept nogil:
    
    _fortran_zpbrfs(uplo, n, kd, nrhs, <npy_complex128*>ab, ldab, <npy_complex128*>afb, ldafb, <npy_complex128*>b, ldb, <npy_complex128*>x, ldx, ferr, berr, <npy_complex128*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zpbstf "BLAS_FUNC(zpbstf)"(char *uplo, int *n, int *kd, npy_complex128 *ab, int *ldab, int *info) nogil
cdef void zpbstf(char *uplo, int *n, int *kd, z *ab, int *ldab, int *info) noexcept nogil:
    
    _fortran_zpbstf(uplo, n, kd, <npy_complex128*>ab, ldab, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zpbsv "BLAS_FUNC(zpbsv)"(char *uplo, int *n, int *kd, int *nrhs, npy_complex128 *ab, int *ldab, npy_complex128 *b, int *ldb, int *info) nogil
cdef void zpbsv(char *uplo, int *n, int *kd, int *nrhs, z *ab, int *ldab, z *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_zpbsv(uplo, n, kd, nrhs, <npy_complex128*>ab, ldab, <npy_complex128*>b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zpbsvx "BLAS_FUNC(zpbsvx)"(char *fact, char *uplo, int *n, int *kd, int *nrhs, npy_complex128 *ab, int *ldab, npy_complex128 *afb, int *ldafb, char *equed, d *s, npy_complex128 *b, int *ldb, npy_complex128 *x, int *ldx, d *rcond, d *ferr, d *berr, npy_complex128 *work, d *rwork, int *info) nogil
cdef void zpbsvx(char *fact, char *uplo, int *n, int *kd, int *nrhs, z *ab, int *ldab, z *afb, int *ldafb, char *equed, d *s, z *b, int *ldb, z *x, int *ldx, d *rcond, d *ferr, d *berr, z *work, d *rwork, int *info) noexcept nogil:
    
    _fortran_zpbsvx(fact, uplo, n, kd, nrhs, <npy_complex128*>ab, ldab, <npy_complex128*>afb, ldafb, equed, s, <npy_complex128*>b, ldb, <npy_complex128*>x, ldx, rcond, ferr, berr, <npy_complex128*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zpbtf2 "BLAS_FUNC(zpbtf2)"(char *uplo, int *n, int *kd, npy_complex128 *ab, int *ldab, int *info) nogil
cdef void zpbtf2(char *uplo, int *n, int *kd, z *ab, int *ldab, int *info) noexcept nogil:
    
    _fortran_zpbtf2(uplo, n, kd, <npy_complex128*>ab, ldab, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zpbtrf "BLAS_FUNC(zpbtrf)"(char *uplo, int *n, int *kd, npy_complex128 *ab, int *ldab, int *info) nogil
cdef void zpbtrf(char *uplo, int *n, int *kd, z *ab, int *ldab, int *info) noexcept nogil:
    
    _fortran_zpbtrf(uplo, n, kd, <npy_complex128*>ab, ldab, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zpbtrs "BLAS_FUNC(zpbtrs)"(char *uplo, int *n, int *kd, int *nrhs, npy_complex128 *ab, int *ldab, npy_complex128 *b, int *ldb, int *info) nogil
cdef void zpbtrs(char *uplo, int *n, int *kd, int *nrhs, z *ab, int *ldab, z *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_zpbtrs(uplo, n, kd, nrhs, <npy_complex128*>ab, ldab, <npy_complex128*>b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zpftrf "BLAS_FUNC(zpftrf)"(char *transr, char *uplo, int *n, npy_complex128 *a, int *info) nogil
cdef void zpftrf(char *transr, char *uplo, int *n, z *a, int *info) noexcept nogil:
    
    _fortran_zpftrf(transr, uplo, n, <npy_complex128*>a, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zpftri "BLAS_FUNC(zpftri)"(char *transr, char *uplo, int *n, npy_complex128 *a, int *info) nogil
cdef void zpftri(char *transr, char *uplo, int *n, z *a, int *info) noexcept nogil:
    
    _fortran_zpftri(transr, uplo, n, <npy_complex128*>a, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zpftrs "BLAS_FUNC(zpftrs)"(char *transr, char *uplo, int *n, int *nrhs, npy_complex128 *a, npy_complex128 *b, int *ldb, int *info) nogil
cdef void zpftrs(char *transr, char *uplo, int *n, int *nrhs, z *a, z *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_zpftrs(transr, uplo, n, nrhs, <npy_complex128*>a, <npy_complex128*>b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zpocon "BLAS_FUNC(zpocon)"(char *uplo, int *n, npy_complex128 *a, int *lda, d *anorm, d *rcond, npy_complex128 *work, d *rwork, int *info) nogil
cdef void zpocon(char *uplo, int *n, z *a, int *lda, d *anorm, d *rcond, z *work, d *rwork, int *info) noexcept nogil:
    
    _fortran_zpocon(uplo, n, <npy_complex128*>a, lda, anorm, rcond, <npy_complex128*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zpoequ "BLAS_FUNC(zpoequ)"(int *n, npy_complex128 *a, int *lda, d *s, d *scond, d *amax, int *info) nogil
cdef void zpoequ(int *n, z *a, int *lda, d *s, d *scond, d *amax, int *info) noexcept nogil:
    
    _fortran_zpoequ(n, <npy_complex128*>a, lda, s, scond, amax, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zpoequb "BLAS_FUNC(zpoequb)"(int *n, npy_complex128 *a, int *lda, d *s, d *scond, d *amax, int *info) nogil
cdef void zpoequb(int *n, z *a, int *lda, d *s, d *scond, d *amax, int *info) noexcept nogil:
    
    _fortran_zpoequb(n, <npy_complex128*>a, lda, s, scond, amax, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zporfs "BLAS_FUNC(zporfs)"(char *uplo, int *n, int *nrhs, npy_complex128 *a, int *lda, npy_complex128 *af, int *ldaf, npy_complex128 *b, int *ldb, npy_complex128 *x, int *ldx, d *ferr, d *berr, npy_complex128 *work, d *rwork, int *info) nogil
cdef void zporfs(char *uplo, int *n, int *nrhs, z *a, int *lda, z *af, int *ldaf, z *b, int *ldb, z *x, int *ldx, d *ferr, d *berr, z *work, d *rwork, int *info) noexcept nogil:
    
    _fortran_zporfs(uplo, n, nrhs, <npy_complex128*>a, lda, <npy_complex128*>af, ldaf, <npy_complex128*>b, ldb, <npy_complex128*>x, ldx, ferr, berr, <npy_complex128*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zposv "BLAS_FUNC(zposv)"(char *uplo, int *n, int *nrhs, npy_complex128 *a, int *lda, npy_complex128 *b, int *ldb, int *info) nogil
cdef void zposv(char *uplo, int *n, int *nrhs, z *a, int *lda, z *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_zposv(uplo, n, nrhs, <npy_complex128*>a, lda, <npy_complex128*>b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zposvx "BLAS_FUNC(zposvx)"(char *fact, char *uplo, int *n, int *nrhs, npy_complex128 *a, int *lda, npy_complex128 *af, int *ldaf, char *equed, d *s, npy_complex128 *b, int *ldb, npy_complex128 *x, int *ldx, d *rcond, d *ferr, d *berr, npy_complex128 *work, d *rwork, int *info) nogil
cdef void zposvx(char *fact, char *uplo, int *n, int *nrhs, z *a, int *lda, z *af, int *ldaf, char *equed, d *s, z *b, int *ldb, z *x, int *ldx, d *rcond, d *ferr, d *berr, z *work, d *rwork, int *info) noexcept nogil:
    
    _fortran_zposvx(fact, uplo, n, nrhs, <npy_complex128*>a, lda, <npy_complex128*>af, ldaf, equed, s, <npy_complex128*>b, ldb, <npy_complex128*>x, ldx, rcond, ferr, berr, <npy_complex128*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zpotf2 "BLAS_FUNC(zpotf2)"(char *uplo, int *n, npy_complex128 *a, int *lda, int *info) nogil
cdef void zpotf2(char *uplo, int *n, z *a, int *lda, int *info) noexcept nogil:
    
    _fortran_zpotf2(uplo, n, <npy_complex128*>a, lda, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zpotrf "BLAS_FUNC(zpotrf)"(char *uplo, int *n, npy_complex128 *a, int *lda, int *info) nogil
cdef void zpotrf(char *uplo, int *n, z *a, int *lda, int *info) noexcept nogil:
    
    _fortran_zpotrf(uplo, n, <npy_complex128*>a, lda, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zpotri "BLAS_FUNC(zpotri)"(char *uplo, int *n, npy_complex128 *a, int *lda, int *info) nogil
cdef void zpotri(char *uplo, int *n, z *a, int *lda, int *info) noexcept nogil:
    
    _fortran_zpotri(uplo, n, <npy_complex128*>a, lda, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zpotrs "BLAS_FUNC(zpotrs)"(char *uplo, int *n, int *nrhs, npy_complex128 *a, int *lda, npy_complex128 *b, int *ldb, int *info) nogil
cdef void zpotrs(char *uplo, int *n, int *nrhs, z *a, int *lda, z *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_zpotrs(uplo, n, nrhs, <npy_complex128*>a, lda, <npy_complex128*>b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zppcon "BLAS_FUNC(zppcon)"(char *uplo, int *n, npy_complex128 *ap, d *anorm, d *rcond, npy_complex128 *work, d *rwork, int *info) nogil
cdef void zppcon(char *uplo, int *n, z *ap, d *anorm, d *rcond, z *work, d *rwork, int *info) noexcept nogil:
    
    _fortran_zppcon(uplo, n, <npy_complex128*>ap, anorm, rcond, <npy_complex128*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zppequ "BLAS_FUNC(zppequ)"(char *uplo, int *n, npy_complex128 *ap, d *s, d *scond, d *amax, int *info) nogil
cdef void zppequ(char *uplo, int *n, z *ap, d *s, d *scond, d *amax, int *info) noexcept nogil:
    
    _fortran_zppequ(uplo, n, <npy_complex128*>ap, s, scond, amax, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zpprfs "BLAS_FUNC(zpprfs)"(char *uplo, int *n, int *nrhs, npy_complex128 *ap, npy_complex128 *afp, npy_complex128 *b, int *ldb, npy_complex128 *x, int *ldx, d *ferr, d *berr, npy_complex128 *work, d *rwork, int *info) nogil
cdef void zpprfs(char *uplo, int *n, int *nrhs, z *ap, z *afp, z *b, int *ldb, z *x, int *ldx, d *ferr, d *berr, z *work, d *rwork, int *info) noexcept nogil:
    
    _fortran_zpprfs(uplo, n, nrhs, <npy_complex128*>ap, <npy_complex128*>afp, <npy_complex128*>b, ldb, <npy_complex128*>x, ldx, ferr, berr, <npy_complex128*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zppsv "BLAS_FUNC(zppsv)"(char *uplo, int *n, int *nrhs, npy_complex128 *ap, npy_complex128 *b, int *ldb, int *info) nogil
cdef void zppsv(char *uplo, int *n, int *nrhs, z *ap, z *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_zppsv(uplo, n, nrhs, <npy_complex128*>ap, <npy_complex128*>b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zppsvx "BLAS_FUNC(zppsvx)"(char *fact, char *uplo, int *n, int *nrhs, npy_complex128 *ap, npy_complex128 *afp, char *equed, d *s, npy_complex128 *b, int *ldb, npy_complex128 *x, int *ldx, d *rcond, d *ferr, d *berr, npy_complex128 *work, d *rwork, int *info) nogil
cdef void zppsvx(char *fact, char *uplo, int *n, int *nrhs, z *ap, z *afp, char *equed, d *s, z *b, int *ldb, z *x, int *ldx, d *rcond, d *ferr, d *berr, z *work, d *rwork, int *info) noexcept nogil:
    
    _fortran_zppsvx(fact, uplo, n, nrhs, <npy_complex128*>ap, <npy_complex128*>afp, equed, s, <npy_complex128*>b, ldb, <npy_complex128*>x, ldx, rcond, ferr, berr, <npy_complex128*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zpptrf "BLAS_FUNC(zpptrf)"(char *uplo, int *n, npy_complex128 *ap, int *info) nogil
cdef void zpptrf(char *uplo, int *n, z *ap, int *info) noexcept nogil:
    
    _fortran_zpptrf(uplo, n, <npy_complex128*>ap, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zpptri "BLAS_FUNC(zpptri)"(char *uplo, int *n, npy_complex128 *ap, int *info) nogil
cdef void zpptri(char *uplo, int *n, z *ap, int *info) noexcept nogil:
    
    _fortran_zpptri(uplo, n, <npy_complex128*>ap, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zpptrs "BLAS_FUNC(zpptrs)"(char *uplo, int *n, int *nrhs, npy_complex128 *ap, npy_complex128 *b, int *ldb, int *info) nogil
cdef void zpptrs(char *uplo, int *n, int *nrhs, z *ap, z *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_zpptrs(uplo, n, nrhs, <npy_complex128*>ap, <npy_complex128*>b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zpstf2 "BLAS_FUNC(zpstf2)"(char *uplo, int *n, npy_complex128 *a, int *lda, int *piv, int *rank, d *tol, d *work, int *info) nogil
cdef void zpstf2(char *uplo, int *n, z *a, int *lda, int *piv, int *rank, d *tol, d *work, int *info) noexcept nogil:
    
    _fortran_zpstf2(uplo, n, <npy_complex128*>a, lda, piv, rank, tol, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zpstrf "BLAS_FUNC(zpstrf)"(char *uplo, int *n, npy_complex128 *a, int *lda, int *piv, int *rank, d *tol, d *work, int *info) nogil
cdef void zpstrf(char *uplo, int *n, z *a, int *lda, int *piv, int *rank, d *tol, d *work, int *info) noexcept nogil:
    
    _fortran_zpstrf(uplo, n, <npy_complex128*>a, lda, piv, rank, tol, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zptcon "BLAS_FUNC(zptcon)"(int *n, d *d, npy_complex128 *e, d *anorm, d *rcond, d *rwork, int *info) nogil
cdef void zptcon(int *n, d *d, z *e, d *anorm, d *rcond, d *rwork, int *info) noexcept nogil:
    
    _fortran_zptcon(n, d, <npy_complex128*>e, anorm, rcond, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zpteqr "BLAS_FUNC(zpteqr)"(char *compz, int *n, d *d, d *e, npy_complex128 *z, int *ldz, d *work, int *info) nogil
cdef void zpteqr(char *compz, int *n, d *d, d *e, z *z, int *ldz, d *work, int *info) noexcept nogil:
    
    _fortran_zpteqr(compz, n, d, e, <npy_complex128*>z, ldz, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zptrfs "BLAS_FUNC(zptrfs)"(char *uplo, int *n, int *nrhs, d *d, npy_complex128 *e, d *df, npy_complex128 *ef, npy_complex128 *b, int *ldb, npy_complex128 *x, int *ldx, d *ferr, d *berr, npy_complex128 *work, d *rwork, int *info) nogil
cdef void zptrfs(char *uplo, int *n, int *nrhs, d *d, z *e, d *df, z *ef, z *b, int *ldb, z *x, int *ldx, d *ferr, d *berr, z *work, d *rwork, int *info) noexcept nogil:
    
    _fortran_zptrfs(uplo, n, nrhs, d, <npy_complex128*>e, df, <npy_complex128*>ef, <npy_complex128*>b, ldb, <npy_complex128*>x, ldx, ferr, berr, <npy_complex128*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zptsv "BLAS_FUNC(zptsv)"(int *n, int *nrhs, d *d, npy_complex128 *e, npy_complex128 *b, int *ldb, int *info) nogil
cdef void zptsv(int *n, int *nrhs, d *d, z *e, z *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_zptsv(n, nrhs, d, <npy_complex128*>e, <npy_complex128*>b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zptsvx "BLAS_FUNC(zptsvx)"(char *fact, int *n, int *nrhs, d *d, npy_complex128 *e, d *df, npy_complex128 *ef, npy_complex128 *b, int *ldb, npy_complex128 *x, int *ldx, d *rcond, d *ferr, d *berr, npy_complex128 *work, d *rwork, int *info) nogil
cdef void zptsvx(char *fact, int *n, int *nrhs, d *d, z *e, d *df, z *ef, z *b, int *ldb, z *x, int *ldx, d *rcond, d *ferr, d *berr, z *work, d *rwork, int *info) noexcept nogil:
    
    _fortran_zptsvx(fact, n, nrhs, d, <npy_complex128*>e, df, <npy_complex128*>ef, <npy_complex128*>b, ldb, <npy_complex128*>x, ldx, rcond, ferr, berr, <npy_complex128*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zpttrf "BLAS_FUNC(zpttrf)"(int *n, d *d, npy_complex128 *e, int *info) nogil
cdef void zpttrf(int *n, d *d, z *e, int *info) noexcept nogil:
    
    _fortran_zpttrf(n, d, <npy_complex128*>e, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zpttrs "BLAS_FUNC(zpttrs)"(char *uplo, int *n, int *nrhs, d *d, npy_complex128 *e, npy_complex128 *b, int *ldb, int *info) nogil
cdef void zpttrs(char *uplo, int *n, int *nrhs, d *d, z *e, z *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_zpttrs(uplo, n, nrhs, d, <npy_complex128*>e, <npy_complex128*>b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zptts2 "BLAS_FUNC(zptts2)"(int *iuplo, int *n, int *nrhs, d *d, npy_complex128 *e, npy_complex128 *b, int *ldb) nogil
cdef void zptts2(int *iuplo, int *n, int *nrhs, d *d, z *e, z *b, int *ldb) noexcept nogil:
    
    _fortran_zptts2(iuplo, n, nrhs, d, <npy_complex128*>e, <npy_complex128*>b, ldb)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zrot "BLAS_FUNC(zrot)"(int *n, npy_complex128 *cx, int *incx, npy_complex128 *cy, int *incy, d *c, npy_complex128 *s) nogil
cdef void zrot(int *n, z *cx, int *incx, z *cy, int *incy, d *c, z *s) noexcept nogil:
    
    _fortran_zrot(n, <npy_complex128*>cx, incx, <npy_complex128*>cy, incy, c, <npy_complex128*>s)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zspcon "BLAS_FUNC(zspcon)"(char *uplo, int *n, npy_complex128 *ap, int *ipiv, d *anorm, d *rcond, npy_complex128 *work, int *info) nogil
cdef void zspcon(char *uplo, int *n, z *ap, int *ipiv, d *anorm, d *rcond, z *work, int *info) noexcept nogil:
    
    _fortran_zspcon(uplo, n, <npy_complex128*>ap, ipiv, anorm, rcond, <npy_complex128*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zspmv "BLAS_FUNC(zspmv)"(char *uplo, int *n, npy_complex128 *alpha, npy_complex128 *ap, npy_complex128 *x, int *incx, npy_complex128 *beta, npy_complex128 *y, int *incy) nogil
cdef void zspmv(char *uplo, int *n, z *alpha, z *ap, z *x, int *incx, z *beta, z *y, int *incy) noexcept nogil:
    
    _fortran_zspmv(uplo, n, <npy_complex128*>alpha, <npy_complex128*>ap, <npy_complex128*>x, incx, <npy_complex128*>beta, <npy_complex128*>y, incy)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zspr "BLAS_FUNC(zspr)"(char *uplo, int *n, npy_complex128 *alpha, npy_complex128 *x, int *incx, npy_complex128 *ap) nogil
cdef void zspr(char *uplo, int *n, z *alpha, z *x, int *incx, z *ap) noexcept nogil:
    
    _fortran_zspr(uplo, n, <npy_complex128*>alpha, <npy_complex128*>x, incx, <npy_complex128*>ap)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zsprfs "BLAS_FUNC(zsprfs)"(char *uplo, int *n, int *nrhs, npy_complex128 *ap, npy_complex128 *afp, int *ipiv, npy_complex128 *b, int *ldb, npy_complex128 *x, int *ldx, d *ferr, d *berr, npy_complex128 *work, d *rwork, int *info) nogil
cdef void zsprfs(char *uplo, int *n, int *nrhs, z *ap, z *afp, int *ipiv, z *b, int *ldb, z *x, int *ldx, d *ferr, d *berr, z *work, d *rwork, int *info) noexcept nogil:
    
    _fortran_zsprfs(uplo, n, nrhs, <npy_complex128*>ap, <npy_complex128*>afp, ipiv, <npy_complex128*>b, ldb, <npy_complex128*>x, ldx, ferr, berr, <npy_complex128*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zspsv "BLAS_FUNC(zspsv)"(char *uplo, int *n, int *nrhs, npy_complex128 *ap, int *ipiv, npy_complex128 *b, int *ldb, int *info) nogil
cdef void zspsv(char *uplo, int *n, int *nrhs, z *ap, int *ipiv, z *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_zspsv(uplo, n, nrhs, <npy_complex128*>ap, ipiv, <npy_complex128*>b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zspsvx "BLAS_FUNC(zspsvx)"(char *fact, char *uplo, int *n, int *nrhs, npy_complex128 *ap, npy_complex128 *afp, int *ipiv, npy_complex128 *b, int *ldb, npy_complex128 *x, int *ldx, d *rcond, d *ferr, d *berr, npy_complex128 *work, d *rwork, int *info) nogil
cdef void zspsvx(char *fact, char *uplo, int *n, int *nrhs, z *ap, z *afp, int *ipiv, z *b, int *ldb, z *x, int *ldx, d *rcond, d *ferr, d *berr, z *work, d *rwork, int *info) noexcept nogil:
    
    _fortran_zspsvx(fact, uplo, n, nrhs, <npy_complex128*>ap, <npy_complex128*>afp, ipiv, <npy_complex128*>b, ldb, <npy_complex128*>x, ldx, rcond, ferr, berr, <npy_complex128*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zsptrf "BLAS_FUNC(zsptrf)"(char *uplo, int *n, npy_complex128 *ap, int *ipiv, int *info) nogil
cdef void zsptrf(char *uplo, int *n, z *ap, int *ipiv, int *info) noexcept nogil:
    
    _fortran_zsptrf(uplo, n, <npy_complex128*>ap, ipiv, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zsptri "BLAS_FUNC(zsptri)"(char *uplo, int *n, npy_complex128 *ap, int *ipiv, npy_complex128 *work, int *info) nogil
cdef void zsptri(char *uplo, int *n, z *ap, int *ipiv, z *work, int *info) noexcept nogil:
    
    _fortran_zsptri(uplo, n, <npy_complex128*>ap, ipiv, <npy_complex128*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zsptrs "BLAS_FUNC(zsptrs)"(char *uplo, int *n, int *nrhs, npy_complex128 *ap, int *ipiv, npy_complex128 *b, int *ldb, int *info) nogil
cdef void zsptrs(char *uplo, int *n, int *nrhs, z *ap, int *ipiv, z *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_zsptrs(uplo, n, nrhs, <npy_complex128*>ap, ipiv, <npy_complex128*>b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zstedc "BLAS_FUNC(zstedc)"(char *compz, int *n, d *d, d *e, npy_complex128 *z, int *ldz, npy_complex128 *work, int *lwork, d *rwork, int *lrwork, int *iwork, int *liwork, int *info) nogil
cdef void zstedc(char *compz, int *n, d *d, d *e, z *z, int *ldz, z *work, int *lwork, d *rwork, int *lrwork, int *iwork, int *liwork, int *info) noexcept nogil:
    
    _fortran_zstedc(compz, n, d, e, <npy_complex128*>z, ldz, <npy_complex128*>work, lwork, rwork, lrwork, iwork, liwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zstegr "BLAS_FUNC(zstegr)"(char *jobz, char *range, int *n, d *d, d *e, d *vl, d *vu, int *il, int *iu, d *abstol, int *m, d *w, npy_complex128 *z, int *ldz, int *isuppz, d *work, int *lwork, int *iwork, int *liwork, int *info) nogil
cdef void zstegr(char *jobz, char *range, int *n, d *d, d *e, d *vl, d *vu, int *il, int *iu, d *abstol, int *m, d *w, z *z, int *ldz, int *isuppz, d *work, int *lwork, int *iwork, int *liwork, int *info) noexcept nogil:
    
    _fortran_zstegr(jobz, range, n, d, e, vl, vu, il, iu, abstol, m, w, <npy_complex128*>z, ldz, isuppz, work, lwork, iwork, liwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zstein "BLAS_FUNC(zstein)"(int *n, d *d, d *e, int *m, d *w, int *iblock, int *isplit, npy_complex128 *z, int *ldz, d *work, int *iwork, int *ifail, int *info) nogil
cdef void zstein(int *n, d *d, d *e, int *m, d *w, int *iblock, int *isplit, z *z, int *ldz, d *work, int *iwork, int *ifail, int *info) noexcept nogil:
    
    _fortran_zstein(n, d, e, m, w, iblock, isplit, <npy_complex128*>z, ldz, work, iwork, ifail, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zstemr "BLAS_FUNC(zstemr)"(char *jobz, char *range, int *n, d *d, d *e, d *vl, d *vu, int *il, int *iu, int *m, d *w, npy_complex128 *z, int *ldz, int *nzc, int *isuppz, bint *tryrac, d *work, int *lwork, int *iwork, int *liwork, int *info) nogil
cdef void zstemr(char *jobz, char *range, int *n, d *d, d *e, d *vl, d *vu, int *il, int *iu, int *m, d *w, z *z, int *ldz, int *nzc, int *isuppz, bint *tryrac, d *work, int *lwork, int *iwork, int *liwork, int *info) noexcept nogil:
    
    _fortran_zstemr(jobz, range, n, d, e, vl, vu, il, iu, m, w, <npy_complex128*>z, ldz, nzc, isuppz, tryrac, work, lwork, iwork, liwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zsteqr "BLAS_FUNC(zsteqr)"(char *compz, int *n, d *d, d *e, npy_complex128 *z, int *ldz, d *work, int *info) nogil
cdef void zsteqr(char *compz, int *n, d *d, d *e, z *z, int *ldz, d *work, int *info) noexcept nogil:
    
    _fortran_zsteqr(compz, n, d, e, <npy_complex128*>z, ldz, work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zsycon "BLAS_FUNC(zsycon)"(char *uplo, int *n, npy_complex128 *a, int *lda, int *ipiv, d *anorm, d *rcond, npy_complex128 *work, int *info) nogil
cdef void zsycon(char *uplo, int *n, z *a, int *lda, int *ipiv, d *anorm, d *rcond, z *work, int *info) noexcept nogil:
    
    _fortran_zsycon(uplo, n, <npy_complex128*>a, lda, ipiv, anorm, rcond, <npy_complex128*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zsyconv "BLAS_FUNC(zsyconv)"(char *uplo, char *way, int *n, npy_complex128 *a, int *lda, int *ipiv, npy_complex128 *work, int *info) nogil
cdef void zsyconv(char *uplo, char *way, int *n, z *a, int *lda, int *ipiv, z *work, int *info) noexcept nogil:
    
    _fortran_zsyconv(uplo, way, n, <npy_complex128*>a, lda, ipiv, <npy_complex128*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zsyequb "BLAS_FUNC(zsyequb)"(char *uplo, int *n, npy_complex128 *a, int *lda, d *s, d *scond, d *amax, npy_complex128 *work, int *info) nogil
cdef void zsyequb(char *uplo, int *n, z *a, int *lda, d *s, d *scond, d *amax, z *work, int *info) noexcept nogil:
    
    _fortran_zsyequb(uplo, n, <npy_complex128*>a, lda, s, scond, amax, <npy_complex128*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zsymv "BLAS_FUNC(zsymv)"(char *uplo, int *n, npy_complex128 *alpha, npy_complex128 *a, int *lda, npy_complex128 *x, int *incx, npy_complex128 *beta, npy_complex128 *y, int *incy) nogil
cdef void zsymv(char *uplo, int *n, z *alpha, z *a, int *lda, z *x, int *incx, z *beta, z *y, int *incy) noexcept nogil:
    
    _fortran_zsymv(uplo, n, <npy_complex128*>alpha, <npy_complex128*>a, lda, <npy_complex128*>x, incx, <npy_complex128*>beta, <npy_complex128*>y, incy)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zsyr "BLAS_FUNC(zsyr)"(char *uplo, int *n, npy_complex128 *alpha, npy_complex128 *x, int *incx, npy_complex128 *a, int *lda) nogil
cdef void zsyr(char *uplo, int *n, z *alpha, z *x, int *incx, z *a, int *lda) noexcept nogil:
    
    _fortran_zsyr(uplo, n, <npy_complex128*>alpha, <npy_complex128*>x, incx, <npy_complex128*>a, lda)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zsyrfs "BLAS_FUNC(zsyrfs)"(char *uplo, int *n, int *nrhs, npy_complex128 *a, int *lda, npy_complex128 *af, int *ldaf, int *ipiv, npy_complex128 *b, int *ldb, npy_complex128 *x, int *ldx, d *ferr, d *berr, npy_complex128 *work, d *rwork, int *info) nogil
cdef void zsyrfs(char *uplo, int *n, int *nrhs, z *a, int *lda, z *af, int *ldaf, int *ipiv, z *b, int *ldb, z *x, int *ldx, d *ferr, d *berr, z *work, d *rwork, int *info) noexcept nogil:
    
    _fortran_zsyrfs(uplo, n, nrhs, <npy_complex128*>a, lda, <npy_complex128*>af, ldaf, ipiv, <npy_complex128*>b, ldb, <npy_complex128*>x, ldx, ferr, berr, <npy_complex128*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zsysv "BLAS_FUNC(zsysv)"(char *uplo, int *n, int *nrhs, npy_complex128 *a, int *lda, int *ipiv, npy_complex128 *b, int *ldb, npy_complex128 *work, int *lwork, int *info) nogil
cdef void zsysv(char *uplo, int *n, int *nrhs, z *a, int *lda, int *ipiv, z *b, int *ldb, z *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_zsysv(uplo, n, nrhs, <npy_complex128*>a, lda, ipiv, <npy_complex128*>b, ldb, <npy_complex128*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zsysvx "BLAS_FUNC(zsysvx)"(char *fact, char *uplo, int *n, int *nrhs, npy_complex128 *a, int *lda, npy_complex128 *af, int *ldaf, int *ipiv, npy_complex128 *b, int *ldb, npy_complex128 *x, int *ldx, d *rcond, d *ferr, d *berr, npy_complex128 *work, int *lwork, d *rwork, int *info) nogil
cdef void zsysvx(char *fact, char *uplo, int *n, int *nrhs, z *a, int *lda, z *af, int *ldaf, int *ipiv, z *b, int *ldb, z *x, int *ldx, d *rcond, d *ferr, d *berr, z *work, int *lwork, d *rwork, int *info) noexcept nogil:
    
    _fortran_zsysvx(fact, uplo, n, nrhs, <npy_complex128*>a, lda, <npy_complex128*>af, ldaf, ipiv, <npy_complex128*>b, ldb, <npy_complex128*>x, ldx, rcond, ferr, berr, <npy_complex128*>work, lwork, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zsyswapr "BLAS_FUNC(zsyswapr)"(char *uplo, int *n, npy_complex128 *a, int *lda, int *i1, int *i2) nogil
cdef void zsyswapr(char *uplo, int *n, z *a, int *lda, int *i1, int *i2) noexcept nogil:
    
    _fortran_zsyswapr(uplo, n, <npy_complex128*>a, lda, i1, i2)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zsytf2 "BLAS_FUNC(zsytf2)"(char *uplo, int *n, npy_complex128 *a, int *lda, int *ipiv, int *info) nogil
cdef void zsytf2(char *uplo, int *n, z *a, int *lda, int *ipiv, int *info) noexcept nogil:
    
    _fortran_zsytf2(uplo, n, <npy_complex128*>a, lda, ipiv, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zsytrf "BLAS_FUNC(zsytrf)"(char *uplo, int *n, npy_complex128 *a, int *lda, int *ipiv, npy_complex128 *work, int *lwork, int *info) nogil
cdef void zsytrf(char *uplo, int *n, z *a, int *lda, int *ipiv, z *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_zsytrf(uplo, n, <npy_complex128*>a, lda, ipiv, <npy_complex128*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zsytri "BLAS_FUNC(zsytri)"(char *uplo, int *n, npy_complex128 *a, int *lda, int *ipiv, npy_complex128 *work, int *info) nogil
cdef void zsytri(char *uplo, int *n, z *a, int *lda, int *ipiv, z *work, int *info) noexcept nogil:
    
    _fortran_zsytri(uplo, n, <npy_complex128*>a, lda, ipiv, <npy_complex128*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zsytri2 "BLAS_FUNC(zsytri2)"(char *uplo, int *n, npy_complex128 *a, int *lda, int *ipiv, npy_complex128 *work, int *lwork, int *info) nogil
cdef void zsytri2(char *uplo, int *n, z *a, int *lda, int *ipiv, z *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_zsytri2(uplo, n, <npy_complex128*>a, lda, ipiv, <npy_complex128*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zsytri2x "BLAS_FUNC(zsytri2x)"(char *uplo, int *n, npy_complex128 *a, int *lda, int *ipiv, npy_complex128 *work, int *nb, int *info) nogil
cdef void zsytri2x(char *uplo, int *n, z *a, int *lda, int *ipiv, z *work, int *nb, int *info) noexcept nogil:
    
    _fortran_zsytri2x(uplo, n, <npy_complex128*>a, lda, ipiv, <npy_complex128*>work, nb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zsytrs "BLAS_FUNC(zsytrs)"(char *uplo, int *n, int *nrhs, npy_complex128 *a, int *lda, int *ipiv, npy_complex128 *b, int *ldb, int *info) nogil
cdef void zsytrs(char *uplo, int *n, int *nrhs, z *a, int *lda, int *ipiv, z *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_zsytrs(uplo, n, nrhs, <npy_complex128*>a, lda, ipiv, <npy_complex128*>b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zsytrs2 "BLAS_FUNC(zsytrs2)"(char *uplo, int *n, int *nrhs, npy_complex128 *a, int *lda, int *ipiv, npy_complex128 *b, int *ldb, npy_complex128 *work, int *info) nogil
cdef void zsytrs2(char *uplo, int *n, int *nrhs, z *a, int *lda, int *ipiv, z *b, int *ldb, z *work, int *info) noexcept nogil:
    
    _fortran_zsytrs2(uplo, n, nrhs, <npy_complex128*>a, lda, ipiv, <npy_complex128*>b, ldb, <npy_complex128*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ztbcon "BLAS_FUNC(ztbcon)"(char *norm, char *uplo, char *diag, int *n, int *kd, npy_complex128 *ab, int *ldab, d *rcond, npy_complex128 *work, d *rwork, int *info) nogil
cdef void ztbcon(char *norm, char *uplo, char *diag, int *n, int *kd, z *ab, int *ldab, d *rcond, z *work, d *rwork, int *info) noexcept nogil:
    
    _fortran_ztbcon(norm, uplo, diag, n, kd, <npy_complex128*>ab, ldab, rcond, <npy_complex128*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ztbrfs "BLAS_FUNC(ztbrfs)"(char *uplo, char *trans, char *diag, int *n, int *kd, int *nrhs, npy_complex128 *ab, int *ldab, npy_complex128 *b, int *ldb, npy_complex128 *x, int *ldx, d *ferr, d *berr, npy_complex128 *work, d *rwork, int *info) nogil
cdef void ztbrfs(char *uplo, char *trans, char *diag, int *n, int *kd, int *nrhs, z *ab, int *ldab, z *b, int *ldb, z *x, int *ldx, d *ferr, d *berr, z *work, d *rwork, int *info) noexcept nogil:
    
    _fortran_ztbrfs(uplo, trans, diag, n, kd, nrhs, <npy_complex128*>ab, ldab, <npy_complex128*>b, ldb, <npy_complex128*>x, ldx, ferr, berr, <npy_complex128*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ztbtrs "BLAS_FUNC(ztbtrs)"(char *uplo, char *trans, char *diag, int *n, int *kd, int *nrhs, npy_complex128 *ab, int *ldab, npy_complex128 *b, int *ldb, int *info) nogil
cdef void ztbtrs(char *uplo, char *trans, char *diag, int *n, int *kd, int *nrhs, z *ab, int *ldab, z *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_ztbtrs(uplo, trans, diag, n, kd, nrhs, <npy_complex128*>ab, ldab, <npy_complex128*>b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ztfsm "BLAS_FUNC(ztfsm)"(char *transr, char *side, char *uplo, char *trans, char *diag, int *m, int *n, npy_complex128 *alpha, npy_complex128 *a, npy_complex128 *b, int *ldb) nogil
cdef void ztfsm(char *transr, char *side, char *uplo, char *trans, char *diag, int *m, int *n, z *alpha, z *a, z *b, int *ldb) noexcept nogil:
    
    _fortran_ztfsm(transr, side, uplo, trans, diag, m, n, <npy_complex128*>alpha, <npy_complex128*>a, <npy_complex128*>b, ldb)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ztftri "BLAS_FUNC(ztftri)"(char *transr, char *uplo, char *diag, int *n, npy_complex128 *a, int *info) nogil
cdef void ztftri(char *transr, char *uplo, char *diag, int *n, z *a, int *info) noexcept nogil:
    
    _fortran_ztftri(transr, uplo, diag, n, <npy_complex128*>a, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ztfttp "BLAS_FUNC(ztfttp)"(char *transr, char *uplo, int *n, npy_complex128 *arf, npy_complex128 *ap, int *info) nogil
cdef void ztfttp(char *transr, char *uplo, int *n, z *arf, z *ap, int *info) noexcept nogil:
    
    _fortran_ztfttp(transr, uplo, n, <npy_complex128*>arf, <npy_complex128*>ap, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ztfttr "BLAS_FUNC(ztfttr)"(char *transr, char *uplo, int *n, npy_complex128 *arf, npy_complex128 *a, int *lda, int *info) nogil
cdef void ztfttr(char *transr, char *uplo, int *n, z *arf, z *a, int *lda, int *info) noexcept nogil:
    
    _fortran_ztfttr(transr, uplo, n, <npy_complex128*>arf, <npy_complex128*>a, lda, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ztgevc "BLAS_FUNC(ztgevc)"(char *side, char *howmny, bint *select, int *n, npy_complex128 *s, int *lds, npy_complex128 *p, int *ldp, npy_complex128 *vl, int *ldvl, npy_complex128 *vr, int *ldvr, int *mm, int *m, npy_complex128 *work, d *rwork, int *info) nogil
cdef void ztgevc(char *side, char *howmny, bint *select, int *n, z *s, int *lds, z *p, int *ldp, z *vl, int *ldvl, z *vr, int *ldvr, int *mm, int *m, z *work, d *rwork, int *info) noexcept nogil:
    
    _fortran_ztgevc(side, howmny, select, n, <npy_complex128*>s, lds, <npy_complex128*>p, ldp, <npy_complex128*>vl, ldvl, <npy_complex128*>vr, ldvr, mm, m, <npy_complex128*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ztgex2 "BLAS_FUNC(ztgex2)"(bint *wantq, bint *wantz, int *n, npy_complex128 *a, int *lda, npy_complex128 *b, int *ldb, npy_complex128 *q, int *ldq, npy_complex128 *z, int *ldz, int *j1, int *info) nogil
cdef void ztgex2(bint *wantq, bint *wantz, int *n, z *a, int *lda, z *b, int *ldb, z *q, int *ldq, z *z, int *ldz, int *j1, int *info) noexcept nogil:
    
    _fortran_ztgex2(wantq, wantz, n, <npy_complex128*>a, lda, <npy_complex128*>b, ldb, <npy_complex128*>q, ldq, <npy_complex128*>z, ldz, j1, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ztgexc "BLAS_FUNC(ztgexc)"(bint *wantq, bint *wantz, int *n, npy_complex128 *a, int *lda, npy_complex128 *b, int *ldb, npy_complex128 *q, int *ldq, npy_complex128 *z, int *ldz, int *ifst, int *ilst, int *info) nogil
cdef void ztgexc(bint *wantq, bint *wantz, int *n, z *a, int *lda, z *b, int *ldb, z *q, int *ldq, z *z, int *ldz, int *ifst, int *ilst, int *info) noexcept nogil:
    
    _fortran_ztgexc(wantq, wantz, n, <npy_complex128*>a, lda, <npy_complex128*>b, ldb, <npy_complex128*>q, ldq, <npy_complex128*>z, ldz, ifst, ilst, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ztgsen "BLAS_FUNC(ztgsen)"(int *ijob, bint *wantq, bint *wantz, bint *select, int *n, npy_complex128 *a, int *lda, npy_complex128 *b, int *ldb, npy_complex128 *alpha, npy_complex128 *beta, npy_complex128 *q, int *ldq, npy_complex128 *z, int *ldz, int *m, d *pl, d *pr, d *dif, npy_complex128 *work, int *lwork, int *iwork, int *liwork, int *info) nogil
cdef void ztgsen(int *ijob, bint *wantq, bint *wantz, bint *select, int *n, z *a, int *lda, z *b, int *ldb, z *alpha, z *beta, z *q, int *ldq, z *z, int *ldz, int *m, d *pl, d *pr, d *dif, z *work, int *lwork, int *iwork, int *liwork, int *info) noexcept nogil:
    
    _fortran_ztgsen(ijob, wantq, wantz, select, n, <npy_complex128*>a, lda, <npy_complex128*>b, ldb, <npy_complex128*>alpha, <npy_complex128*>beta, <npy_complex128*>q, ldq, <npy_complex128*>z, ldz, m, pl, pr, dif, <npy_complex128*>work, lwork, iwork, liwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ztgsja "BLAS_FUNC(ztgsja)"(char *jobu, char *jobv, char *jobq, int *m, int *p, int *n, int *k, int *l, npy_complex128 *a, int *lda, npy_complex128 *b, int *ldb, d *tola, d *tolb, d *alpha, d *beta, npy_complex128 *u, int *ldu, npy_complex128 *v, int *ldv, npy_complex128 *q, int *ldq, npy_complex128 *work, int *ncycle, int *info) nogil
cdef void ztgsja(char *jobu, char *jobv, char *jobq, int *m, int *p, int *n, int *k, int *l, z *a, int *lda, z *b, int *ldb, d *tola, d *tolb, d *alpha, d *beta, z *u, int *ldu, z *v, int *ldv, z *q, int *ldq, z *work, int *ncycle, int *info) noexcept nogil:
    
    _fortran_ztgsja(jobu, jobv, jobq, m, p, n, k, l, <npy_complex128*>a, lda, <npy_complex128*>b, ldb, tola, tolb, alpha, beta, <npy_complex128*>u, ldu, <npy_complex128*>v, ldv, <npy_complex128*>q, ldq, <npy_complex128*>work, ncycle, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ztgsna "BLAS_FUNC(ztgsna)"(char *job, char *howmny, bint *select, int *n, npy_complex128 *a, int *lda, npy_complex128 *b, int *ldb, npy_complex128 *vl, int *ldvl, npy_complex128 *vr, int *ldvr, d *s, d *dif, int *mm, int *m, npy_complex128 *work, int *lwork, int *iwork, int *info) nogil
cdef void ztgsna(char *job, char *howmny, bint *select, int *n, z *a, int *lda, z *b, int *ldb, z *vl, int *ldvl, z *vr, int *ldvr, d *s, d *dif, int *mm, int *m, z *work, int *lwork, int *iwork, int *info) noexcept nogil:
    
    _fortran_ztgsna(job, howmny, select, n, <npy_complex128*>a, lda, <npy_complex128*>b, ldb, <npy_complex128*>vl, ldvl, <npy_complex128*>vr, ldvr, s, dif, mm, m, <npy_complex128*>work, lwork, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ztgsy2 "BLAS_FUNC(ztgsy2)"(char *trans, int *ijob, int *m, int *n, npy_complex128 *a, int *lda, npy_complex128 *b, int *ldb, npy_complex128 *c, int *ldc, npy_complex128 *d, int *ldd, npy_complex128 *e, int *lde, npy_complex128 *f, int *ldf, d *scale, d *rdsum, d *rdscal, int *info) nogil
cdef void ztgsy2(char *trans, int *ijob, int *m, int *n, z *a, int *lda, z *b, int *ldb, z *c, int *ldc, z *d, int *ldd, z *e, int *lde, z *f, int *ldf, d *scale, d *rdsum, d *rdscal, int *info) noexcept nogil:
    
    _fortran_ztgsy2(trans, ijob, m, n, <npy_complex128*>a, lda, <npy_complex128*>b, ldb, <npy_complex128*>c, ldc, <npy_complex128*>d, ldd, <npy_complex128*>e, lde, <npy_complex128*>f, ldf, scale, rdsum, rdscal, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ztgsyl "BLAS_FUNC(ztgsyl)"(char *trans, int *ijob, int *m, int *n, npy_complex128 *a, int *lda, npy_complex128 *b, int *ldb, npy_complex128 *c, int *ldc, npy_complex128 *d, int *ldd, npy_complex128 *e, int *lde, npy_complex128 *f, int *ldf, d *scale, d *dif, npy_complex128 *work, int *lwork, int *iwork, int *info) nogil
cdef void ztgsyl(char *trans, int *ijob, int *m, int *n, z *a, int *lda, z *b, int *ldb, z *c, int *ldc, z *d, int *ldd, z *e, int *lde, z *f, int *ldf, d *scale, d *dif, z *work, int *lwork, int *iwork, int *info) noexcept nogil:
    
    _fortran_ztgsyl(trans, ijob, m, n, <npy_complex128*>a, lda, <npy_complex128*>b, ldb, <npy_complex128*>c, ldc, <npy_complex128*>d, ldd, <npy_complex128*>e, lde, <npy_complex128*>f, ldf, scale, dif, <npy_complex128*>work, lwork, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ztpcon "BLAS_FUNC(ztpcon)"(char *norm, char *uplo, char *diag, int *n, npy_complex128 *ap, d *rcond, npy_complex128 *work, d *rwork, int *info) nogil
cdef void ztpcon(char *norm, char *uplo, char *diag, int *n, z *ap, d *rcond, z *work, d *rwork, int *info) noexcept nogil:
    
    _fortran_ztpcon(norm, uplo, diag, n, <npy_complex128*>ap, rcond, <npy_complex128*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ztpmqrt "BLAS_FUNC(ztpmqrt)"(char *side, char *trans, int *m, int *n, int *k, int *l, int *nb, npy_complex128 *v, int *ldv, npy_complex128 *t, int *ldt, npy_complex128 *a, int *lda, npy_complex128 *b, int *ldb, npy_complex128 *work, int *info) nogil
cdef void ztpmqrt(char *side, char *trans, int *m, int *n, int *k, int *l, int *nb, z *v, int *ldv, z *t, int *ldt, z *a, int *lda, z *b, int *ldb, z *work, int *info) noexcept nogil:
    
    _fortran_ztpmqrt(side, trans, m, n, k, l, nb, <npy_complex128*>v, ldv, <npy_complex128*>t, ldt, <npy_complex128*>a, lda, <npy_complex128*>b, ldb, <npy_complex128*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ztpqrt "BLAS_FUNC(ztpqrt)"(int *m, int *n, int *l, int *nb, npy_complex128 *a, int *lda, npy_complex128 *b, int *ldb, npy_complex128 *t, int *ldt, npy_complex128 *work, int *info) nogil
cdef void ztpqrt(int *m, int *n, int *l, int *nb, z *a, int *lda, z *b, int *ldb, z *t, int *ldt, z *work, int *info) noexcept nogil:
    
    _fortran_ztpqrt(m, n, l, nb, <npy_complex128*>a, lda, <npy_complex128*>b, ldb, <npy_complex128*>t, ldt, <npy_complex128*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ztpqrt2 "BLAS_FUNC(ztpqrt2)"(int *m, int *n, int *l, npy_complex128 *a, int *lda, npy_complex128 *b, int *ldb, npy_complex128 *t, int *ldt, int *info) nogil
cdef void ztpqrt2(int *m, int *n, int *l, z *a, int *lda, z *b, int *ldb, z *t, int *ldt, int *info) noexcept nogil:
    
    _fortran_ztpqrt2(m, n, l, <npy_complex128*>a, lda, <npy_complex128*>b, ldb, <npy_complex128*>t, ldt, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ztprfb "BLAS_FUNC(ztprfb)"(char *side, char *trans, char *direct, char *storev, int *m, int *n, int *k, int *l, npy_complex128 *v, int *ldv, npy_complex128 *t, int *ldt, npy_complex128 *a, int *lda, npy_complex128 *b, int *ldb, npy_complex128 *work, int *ldwork) nogil
cdef void ztprfb(char *side, char *trans, char *direct, char *storev, int *m, int *n, int *k, int *l, z *v, int *ldv, z *t, int *ldt, z *a, int *lda, z *b, int *ldb, z *work, int *ldwork) noexcept nogil:
    
    _fortran_ztprfb(side, trans, direct, storev, m, n, k, l, <npy_complex128*>v, ldv, <npy_complex128*>t, ldt, <npy_complex128*>a, lda, <npy_complex128*>b, ldb, <npy_complex128*>work, ldwork)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ztprfs "BLAS_FUNC(ztprfs)"(char *uplo, char *trans, char *diag, int *n, int *nrhs, npy_complex128 *ap, npy_complex128 *b, int *ldb, npy_complex128 *x, int *ldx, d *ferr, d *berr, npy_complex128 *work, d *rwork, int *info) nogil
cdef void ztprfs(char *uplo, char *trans, char *diag, int *n, int *nrhs, z *ap, z *b, int *ldb, z *x, int *ldx, d *ferr, d *berr, z *work, d *rwork, int *info) noexcept nogil:
    
    _fortran_ztprfs(uplo, trans, diag, n, nrhs, <npy_complex128*>ap, <npy_complex128*>b, ldb, <npy_complex128*>x, ldx, ferr, berr, <npy_complex128*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ztptri "BLAS_FUNC(ztptri)"(char *uplo, char *diag, int *n, npy_complex128 *ap, int *info) nogil
cdef void ztptri(char *uplo, char *diag, int *n, z *ap, int *info) noexcept nogil:
    
    _fortran_ztptri(uplo, diag, n, <npy_complex128*>ap, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ztptrs "BLAS_FUNC(ztptrs)"(char *uplo, char *trans, char *diag, int *n, int *nrhs, npy_complex128 *ap, npy_complex128 *b, int *ldb, int *info) nogil
cdef void ztptrs(char *uplo, char *trans, char *diag, int *n, int *nrhs, z *ap, z *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_ztptrs(uplo, trans, diag, n, nrhs, <npy_complex128*>ap, <npy_complex128*>b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ztpttf "BLAS_FUNC(ztpttf)"(char *transr, char *uplo, int *n, npy_complex128 *ap, npy_complex128 *arf, int *info) nogil
cdef void ztpttf(char *transr, char *uplo, int *n, z *ap, z *arf, int *info) noexcept nogil:
    
    _fortran_ztpttf(transr, uplo, n, <npy_complex128*>ap, <npy_complex128*>arf, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ztpttr "BLAS_FUNC(ztpttr)"(char *uplo, int *n, npy_complex128 *ap, npy_complex128 *a, int *lda, int *info) nogil
cdef void ztpttr(char *uplo, int *n, z *ap, z *a, int *lda, int *info) noexcept nogil:
    
    _fortran_ztpttr(uplo, n, <npy_complex128*>ap, <npy_complex128*>a, lda, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ztrcon "BLAS_FUNC(ztrcon)"(char *norm, char *uplo, char *diag, int *n, npy_complex128 *a, int *lda, d *rcond, npy_complex128 *work, d *rwork, int *info) nogil
cdef void ztrcon(char *norm, char *uplo, char *diag, int *n, z *a, int *lda, d *rcond, z *work, d *rwork, int *info) noexcept nogil:
    
    _fortran_ztrcon(norm, uplo, diag, n, <npy_complex128*>a, lda, rcond, <npy_complex128*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ztrevc "BLAS_FUNC(ztrevc)"(char *side, char *howmny, bint *select, int *n, npy_complex128 *t, int *ldt, npy_complex128 *vl, int *ldvl, npy_complex128 *vr, int *ldvr, int *mm, int *m, npy_complex128 *work, d *rwork, int *info) nogil
cdef void ztrevc(char *side, char *howmny, bint *select, int *n, z *t, int *ldt, z *vl, int *ldvl, z *vr, int *ldvr, int *mm, int *m, z *work, d *rwork, int *info) noexcept nogil:
    
    _fortran_ztrevc(side, howmny, select, n, <npy_complex128*>t, ldt, <npy_complex128*>vl, ldvl, <npy_complex128*>vr, ldvr, mm, m, <npy_complex128*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ztrexc "BLAS_FUNC(ztrexc)"(char *compq, int *n, npy_complex128 *t, int *ldt, npy_complex128 *q, int *ldq, int *ifst, int *ilst, int *info) nogil
cdef void ztrexc(char *compq, int *n, z *t, int *ldt, z *q, int *ldq, int *ifst, int *ilst, int *info) noexcept nogil:
    
    _fortran_ztrexc(compq, n, <npy_complex128*>t, ldt, <npy_complex128*>q, ldq, ifst, ilst, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ztrrfs "BLAS_FUNC(ztrrfs)"(char *uplo, char *trans, char *diag, int *n, int *nrhs, npy_complex128 *a, int *lda, npy_complex128 *b, int *ldb, npy_complex128 *x, int *ldx, d *ferr, d *berr, npy_complex128 *work, d *rwork, int *info) nogil
cdef void ztrrfs(char *uplo, char *trans, char *diag, int *n, int *nrhs, z *a, int *lda, z *b, int *ldb, z *x, int *ldx, d *ferr, d *berr, z *work, d *rwork, int *info) noexcept nogil:
    
    _fortran_ztrrfs(uplo, trans, diag, n, nrhs, <npy_complex128*>a, lda, <npy_complex128*>b, ldb, <npy_complex128*>x, ldx, ferr, berr, <npy_complex128*>work, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ztrsen "BLAS_FUNC(ztrsen)"(char *job, char *compq, bint *select, int *n, npy_complex128 *t, int *ldt, npy_complex128 *q, int *ldq, npy_complex128 *w, int *m, d *s, d *sep, npy_complex128 *work, int *lwork, int *info) nogil
cdef void ztrsen(char *job, char *compq, bint *select, int *n, z *t, int *ldt, z *q, int *ldq, z *w, int *m, d *s, d *sep, z *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_ztrsen(job, compq, select, n, <npy_complex128*>t, ldt, <npy_complex128*>q, ldq, <npy_complex128*>w, m, s, sep, <npy_complex128*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ztrsna "BLAS_FUNC(ztrsna)"(char *job, char *howmny, bint *select, int *n, npy_complex128 *t, int *ldt, npy_complex128 *vl, int *ldvl, npy_complex128 *vr, int *ldvr, d *s, d *sep, int *mm, int *m, npy_complex128 *work, int *ldwork, d *rwork, int *info) nogil
cdef void ztrsna(char *job, char *howmny, bint *select, int *n, z *t, int *ldt, z *vl, int *ldvl, z *vr, int *ldvr, d *s, d *sep, int *mm, int *m, z *work, int *ldwork, d *rwork, int *info) noexcept nogil:
    
    _fortran_ztrsna(job, howmny, select, n, <npy_complex128*>t, ldt, <npy_complex128*>vl, ldvl, <npy_complex128*>vr, ldvr, s, sep, mm, m, <npy_complex128*>work, ldwork, rwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ztrsyl "BLAS_FUNC(ztrsyl)"(char *trana, char *tranb, int *isgn, int *m, int *n, npy_complex128 *a, int *lda, npy_complex128 *b, int *ldb, npy_complex128 *c, int *ldc, d *scale, int *info) nogil
cdef void ztrsyl(char *trana, char *tranb, int *isgn, int *m, int *n, z *a, int *lda, z *b, int *ldb, z *c, int *ldc, d *scale, int *info) noexcept nogil:
    
    _fortran_ztrsyl(trana, tranb, isgn, m, n, <npy_complex128*>a, lda, <npy_complex128*>b, ldb, <npy_complex128*>c, ldc, scale, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ztrti2 "BLAS_FUNC(ztrti2)"(char *uplo, char *diag, int *n, npy_complex128 *a, int *lda, int *info) nogil
cdef void ztrti2(char *uplo, char *diag, int *n, z *a, int *lda, int *info) noexcept nogil:
    
    _fortran_ztrti2(uplo, diag, n, <npy_complex128*>a, lda, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ztrtri "BLAS_FUNC(ztrtri)"(char *uplo, char *diag, int *n, npy_complex128 *a, int *lda, int *info) nogil
cdef void ztrtri(char *uplo, char *diag, int *n, z *a, int *lda, int *info) noexcept nogil:
    
    _fortran_ztrtri(uplo, diag, n, <npy_complex128*>a, lda, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ztrtrs "BLAS_FUNC(ztrtrs)"(char *uplo, char *trans, char *diag, int *n, int *nrhs, npy_complex128 *a, int *lda, npy_complex128 *b, int *ldb, int *info) nogil
cdef void ztrtrs(char *uplo, char *trans, char *diag, int *n, int *nrhs, z *a, int *lda, z *b, int *ldb, int *info) noexcept nogil:
    
    _fortran_ztrtrs(uplo, trans, diag, n, nrhs, <npy_complex128*>a, lda, <npy_complex128*>b, ldb, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ztrttf "BLAS_FUNC(ztrttf)"(char *transr, char *uplo, int *n, npy_complex128 *a, int *lda, npy_complex128 *arf, int *info) nogil
cdef void ztrttf(char *transr, char *uplo, int *n, z *a, int *lda, z *arf, int *info) noexcept nogil:
    
    _fortran_ztrttf(transr, uplo, n, <npy_complex128*>a, lda, <npy_complex128*>arf, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ztrttp "BLAS_FUNC(ztrttp)"(char *uplo, int *n, npy_complex128 *a, int *lda, npy_complex128 *ap, int *info) nogil
cdef void ztrttp(char *uplo, int *n, z *a, int *lda, z *ap, int *info) noexcept nogil:
    
    _fortran_ztrttp(uplo, n, <npy_complex128*>a, lda, <npy_complex128*>ap, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_ztzrzf "BLAS_FUNC(ztzrzf)"(int *m, int *n, npy_complex128 *a, int *lda, npy_complex128 *tau, npy_complex128 *work, int *lwork, int *info) nogil
cdef void ztzrzf(int *m, int *n, z *a, int *lda, z *tau, z *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_ztzrzf(m, n, <npy_complex128*>a, lda, <npy_complex128*>tau, <npy_complex128*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zunbdb "BLAS_FUNC(zunbdb)"(char *trans, char *signs, int *m, int *p, int *q, npy_complex128 *x11, int *ldx11, npy_complex128 *x12, int *ldx12, npy_complex128 *x21, int *ldx21, npy_complex128 *x22, int *ldx22, d *theta, d *phi, npy_complex128 *taup1, npy_complex128 *taup2, npy_complex128 *tauq1, npy_complex128 *tauq2, npy_complex128 *work, int *lwork, int *info) nogil
cdef void zunbdb(char *trans, char *signs, int *m, int *p, int *q, z *x11, int *ldx11, z *x12, int *ldx12, z *x21, int *ldx21, z *x22, int *ldx22, d *theta, d *phi, z *taup1, z *taup2, z *tauq1, z *tauq2, z *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_zunbdb(trans, signs, m, p, q, <npy_complex128*>x11, ldx11, <npy_complex128*>x12, ldx12, <npy_complex128*>x21, ldx21, <npy_complex128*>x22, ldx22, theta, phi, <npy_complex128*>taup1, <npy_complex128*>taup2, <npy_complex128*>tauq1, <npy_complex128*>tauq2, <npy_complex128*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zuncsd "BLAS_FUNC(zuncsd)"(char *jobu1, char *jobu2, char *jobv1t, char *jobv2t, char *trans, char *signs, int *m, int *p, int *q, npy_complex128 *x11, int *ldx11, npy_complex128 *x12, int *ldx12, npy_complex128 *x21, int *ldx21, npy_complex128 *x22, int *ldx22, d *theta, npy_complex128 *u1, int *ldu1, npy_complex128 *u2, int *ldu2, npy_complex128 *v1t, int *ldv1t, npy_complex128 *v2t, int *ldv2t, npy_complex128 *work, int *lwork, d *rwork, int *lrwork, int *iwork, int *info) nogil
cdef void zuncsd(char *jobu1, char *jobu2, char *jobv1t, char *jobv2t, char *trans, char *signs, int *m, int *p, int *q, z *x11, int *ldx11, z *x12, int *ldx12, z *x21, int *ldx21, z *x22, int *ldx22, d *theta, z *u1, int *ldu1, z *u2, int *ldu2, z *v1t, int *ldv1t, z *v2t, int *ldv2t, z *work, int *lwork, d *rwork, int *lrwork, int *iwork, int *info) noexcept nogil:
    
    _fortran_zuncsd(jobu1, jobu2, jobv1t, jobv2t, trans, signs, m, p, q, <npy_complex128*>x11, ldx11, <npy_complex128*>x12, ldx12, <npy_complex128*>x21, ldx21, <npy_complex128*>x22, ldx22, theta, <npy_complex128*>u1, ldu1, <npy_complex128*>u2, ldu2, <npy_complex128*>v1t, ldv1t, <npy_complex128*>v2t, ldv2t, <npy_complex128*>work, lwork, rwork, lrwork, iwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zung2l "BLAS_FUNC(zung2l)"(int *m, int *n, int *k, npy_complex128 *a, int *lda, npy_complex128 *tau, npy_complex128 *work, int *info) nogil
cdef void zung2l(int *m, int *n, int *k, z *a, int *lda, z *tau, z *work, int *info) noexcept nogil:
    
    _fortran_zung2l(m, n, k, <npy_complex128*>a, lda, <npy_complex128*>tau, <npy_complex128*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zung2r "BLAS_FUNC(zung2r)"(int *m, int *n, int *k, npy_complex128 *a, int *lda, npy_complex128 *tau, npy_complex128 *work, int *info) nogil
cdef void zung2r(int *m, int *n, int *k, z *a, int *lda, z *tau, z *work, int *info) noexcept nogil:
    
    _fortran_zung2r(m, n, k, <npy_complex128*>a, lda, <npy_complex128*>tau, <npy_complex128*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zungbr "BLAS_FUNC(zungbr)"(char *vect, int *m, int *n, int *k, npy_complex128 *a, int *lda, npy_complex128 *tau, npy_complex128 *work, int *lwork, int *info) nogil
cdef void zungbr(char *vect, int *m, int *n, int *k, z *a, int *lda, z *tau, z *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_zungbr(vect, m, n, k, <npy_complex128*>a, lda, <npy_complex128*>tau, <npy_complex128*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zunghr "BLAS_FUNC(zunghr)"(int *n, int *ilo, int *ihi, npy_complex128 *a, int *lda, npy_complex128 *tau, npy_complex128 *work, int *lwork, int *info) nogil
cdef void zunghr(int *n, int *ilo, int *ihi, z *a, int *lda, z *tau, z *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_zunghr(n, ilo, ihi, <npy_complex128*>a, lda, <npy_complex128*>tau, <npy_complex128*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zungl2 "BLAS_FUNC(zungl2)"(int *m, int *n, int *k, npy_complex128 *a, int *lda, npy_complex128 *tau, npy_complex128 *work, int *info) nogil
cdef void zungl2(int *m, int *n, int *k, z *a, int *lda, z *tau, z *work, int *info) noexcept nogil:
    
    _fortran_zungl2(m, n, k, <npy_complex128*>a, lda, <npy_complex128*>tau, <npy_complex128*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zunglq "BLAS_FUNC(zunglq)"(int *m, int *n, int *k, npy_complex128 *a, int *lda, npy_complex128 *tau, npy_complex128 *work, int *lwork, int *info) nogil
cdef void zunglq(int *m, int *n, int *k, z *a, int *lda, z *tau, z *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_zunglq(m, n, k, <npy_complex128*>a, lda, <npy_complex128*>tau, <npy_complex128*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zungql "BLAS_FUNC(zungql)"(int *m, int *n, int *k, npy_complex128 *a, int *lda, npy_complex128 *tau, npy_complex128 *work, int *lwork, int *info) nogil
cdef void zungql(int *m, int *n, int *k, z *a, int *lda, z *tau, z *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_zungql(m, n, k, <npy_complex128*>a, lda, <npy_complex128*>tau, <npy_complex128*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zungqr "BLAS_FUNC(zungqr)"(int *m, int *n, int *k, npy_complex128 *a, int *lda, npy_complex128 *tau, npy_complex128 *work, int *lwork, int *info) nogil
cdef void zungqr(int *m, int *n, int *k, z *a, int *lda, z *tau, z *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_zungqr(m, n, k, <npy_complex128*>a, lda, <npy_complex128*>tau, <npy_complex128*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zungr2 "BLAS_FUNC(zungr2)"(int *m, int *n, int *k, npy_complex128 *a, int *lda, npy_complex128 *tau, npy_complex128 *work, int *info) nogil
cdef void zungr2(int *m, int *n, int *k, z *a, int *lda, z *tau, z *work, int *info) noexcept nogil:
    
    _fortran_zungr2(m, n, k, <npy_complex128*>a, lda, <npy_complex128*>tau, <npy_complex128*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zungrq "BLAS_FUNC(zungrq)"(int *m, int *n, int *k, npy_complex128 *a, int *lda, npy_complex128 *tau, npy_complex128 *work, int *lwork, int *info) nogil
cdef void zungrq(int *m, int *n, int *k, z *a, int *lda, z *tau, z *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_zungrq(m, n, k, <npy_complex128*>a, lda, <npy_complex128*>tau, <npy_complex128*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zungtr "BLAS_FUNC(zungtr)"(char *uplo, int *n, npy_complex128 *a, int *lda, npy_complex128 *tau, npy_complex128 *work, int *lwork, int *info) nogil
cdef void zungtr(char *uplo, int *n, z *a, int *lda, z *tau, z *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_zungtr(uplo, n, <npy_complex128*>a, lda, <npy_complex128*>tau, <npy_complex128*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zunm2l "BLAS_FUNC(zunm2l)"(char *side, char *trans, int *m, int *n, int *k, npy_complex128 *a, int *lda, npy_complex128 *tau, npy_complex128 *c, int *ldc, npy_complex128 *work, int *info) nogil
cdef void zunm2l(char *side, char *trans, int *m, int *n, int *k, z *a, int *lda, z *tau, z *c, int *ldc, z *work, int *info) noexcept nogil:
    
    _fortran_zunm2l(side, trans, m, n, k, <npy_complex128*>a, lda, <npy_complex128*>tau, <npy_complex128*>c, ldc, <npy_complex128*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zunm2r "BLAS_FUNC(zunm2r)"(char *side, char *trans, int *m, int *n, int *k, npy_complex128 *a, int *lda, npy_complex128 *tau, npy_complex128 *c, int *ldc, npy_complex128 *work, int *info) nogil
cdef void zunm2r(char *side, char *trans, int *m, int *n, int *k, z *a, int *lda, z *tau, z *c, int *ldc, z *work, int *info) noexcept nogil:
    
    _fortran_zunm2r(side, trans, m, n, k, <npy_complex128*>a, lda, <npy_complex128*>tau, <npy_complex128*>c, ldc, <npy_complex128*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zunmbr "BLAS_FUNC(zunmbr)"(char *vect, char *side, char *trans, int *m, int *n, int *k, npy_complex128 *a, int *lda, npy_complex128 *tau, npy_complex128 *c, int *ldc, npy_complex128 *work, int *lwork, int *info) nogil
cdef void zunmbr(char *vect, char *side, char *trans, int *m, int *n, int *k, z *a, int *lda, z *tau, z *c, int *ldc, z *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_zunmbr(vect, side, trans, m, n, k, <npy_complex128*>a, lda, <npy_complex128*>tau, <npy_complex128*>c, ldc, <npy_complex128*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zunmhr "BLAS_FUNC(zunmhr)"(char *side, char *trans, int *m, int *n, int *ilo, int *ihi, npy_complex128 *a, int *lda, npy_complex128 *tau, npy_complex128 *c, int *ldc, npy_complex128 *work, int *lwork, int *info) nogil
cdef void zunmhr(char *side, char *trans, int *m, int *n, int *ilo, int *ihi, z *a, int *lda, z *tau, z *c, int *ldc, z *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_zunmhr(side, trans, m, n, ilo, ihi, <npy_complex128*>a, lda, <npy_complex128*>tau, <npy_complex128*>c, ldc, <npy_complex128*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zunml2 "BLAS_FUNC(zunml2)"(char *side, char *trans, int *m, int *n, int *k, npy_complex128 *a, int *lda, npy_complex128 *tau, npy_complex128 *c, int *ldc, npy_complex128 *work, int *info) nogil
cdef void zunml2(char *side, char *trans, int *m, int *n, int *k, z *a, int *lda, z *tau, z *c, int *ldc, z *work, int *info) noexcept nogil:
    
    _fortran_zunml2(side, trans, m, n, k, <npy_complex128*>a, lda, <npy_complex128*>tau, <npy_complex128*>c, ldc, <npy_complex128*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zunmlq "BLAS_FUNC(zunmlq)"(char *side, char *trans, int *m, int *n, int *k, npy_complex128 *a, int *lda, npy_complex128 *tau, npy_complex128 *c, int *ldc, npy_complex128 *work, int *lwork, int *info) nogil
cdef void zunmlq(char *side, char *trans, int *m, int *n, int *k, z *a, int *lda, z *tau, z *c, int *ldc, z *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_zunmlq(side, trans, m, n, k, <npy_complex128*>a, lda, <npy_complex128*>tau, <npy_complex128*>c, ldc, <npy_complex128*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zunmql "BLAS_FUNC(zunmql)"(char *side, char *trans, int *m, int *n, int *k, npy_complex128 *a, int *lda, npy_complex128 *tau, npy_complex128 *c, int *ldc, npy_complex128 *work, int *lwork, int *info) nogil
cdef void zunmql(char *side, char *trans, int *m, int *n, int *k, z *a, int *lda, z *tau, z *c, int *ldc, z *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_zunmql(side, trans, m, n, k, <npy_complex128*>a, lda, <npy_complex128*>tau, <npy_complex128*>c, ldc, <npy_complex128*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zunmqr "BLAS_FUNC(zunmqr)"(char *side, char *trans, int *m, int *n, int *k, npy_complex128 *a, int *lda, npy_complex128 *tau, npy_complex128 *c, int *ldc, npy_complex128 *work, int *lwork, int *info) nogil
cdef void zunmqr(char *side, char *trans, int *m, int *n, int *k, z *a, int *lda, z *tau, z *c, int *ldc, z *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_zunmqr(side, trans, m, n, k, <npy_complex128*>a, lda, <npy_complex128*>tau, <npy_complex128*>c, ldc, <npy_complex128*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zunmr2 "BLAS_FUNC(zunmr2)"(char *side, char *trans, int *m, int *n, int *k, npy_complex128 *a, int *lda, npy_complex128 *tau, npy_complex128 *c, int *ldc, npy_complex128 *work, int *info) nogil
cdef void zunmr2(char *side, char *trans, int *m, int *n, int *k, z *a, int *lda, z *tau, z *c, int *ldc, z *work, int *info) noexcept nogil:
    
    _fortran_zunmr2(side, trans, m, n, k, <npy_complex128*>a, lda, <npy_complex128*>tau, <npy_complex128*>c, ldc, <npy_complex128*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zunmr3 "BLAS_FUNC(zunmr3)"(char *side, char *trans, int *m, int *n, int *k, int *l, npy_complex128 *a, int *lda, npy_complex128 *tau, npy_complex128 *c, int *ldc, npy_complex128 *work, int *info) nogil
cdef void zunmr3(char *side, char *trans, int *m, int *n, int *k, int *l, z *a, int *lda, z *tau, z *c, int *ldc, z *work, int *info) noexcept nogil:
    
    _fortran_zunmr3(side, trans, m, n, k, l, <npy_complex128*>a, lda, <npy_complex128*>tau, <npy_complex128*>c, ldc, <npy_complex128*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zunmrq "BLAS_FUNC(zunmrq)"(char *side, char *trans, int *m, int *n, int *k, npy_complex128 *a, int *lda, npy_complex128 *tau, npy_complex128 *c, int *ldc, npy_complex128 *work, int *lwork, int *info) nogil
cdef void zunmrq(char *side, char *trans, int *m, int *n, int *k, z *a, int *lda, z *tau, z *c, int *ldc, z *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_zunmrq(side, trans, m, n, k, <npy_complex128*>a, lda, <npy_complex128*>tau, <npy_complex128*>c, ldc, <npy_complex128*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zunmrz "BLAS_FUNC(zunmrz)"(char *side, char *trans, int *m, int *n, int *k, int *l, npy_complex128 *a, int *lda, npy_complex128 *tau, npy_complex128 *c, int *ldc, npy_complex128 *work, int *lwork, int *info) nogil
cdef void zunmrz(char *side, char *trans, int *m, int *n, int *k, int *l, z *a, int *lda, z *tau, z *c, int *ldc, z *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_zunmrz(side, trans, m, n, k, l, <npy_complex128*>a, lda, <npy_complex128*>tau, <npy_complex128*>c, ldc, <npy_complex128*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zunmtr "BLAS_FUNC(zunmtr)"(char *side, char *uplo, char *trans, int *m, int *n, npy_complex128 *a, int *lda, npy_complex128 *tau, npy_complex128 *c, int *ldc, npy_complex128 *work, int *lwork, int *info) nogil
cdef void zunmtr(char *side, char *uplo, char *trans, int *m, int *n, z *a, int *lda, z *tau, z *c, int *ldc, z *work, int *lwork, int *info) noexcept nogil:
    
    _fortran_zunmtr(side, uplo, trans, m, n, <npy_complex128*>a, lda, <npy_complex128*>tau, <npy_complex128*>c, ldc, <npy_complex128*>work, lwork, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zupgtr "BLAS_FUNC(zupgtr)"(char *uplo, int *n, npy_complex128 *ap, npy_complex128 *tau, npy_complex128 *q, int *ldq, npy_complex128 *work, int *info) nogil
cdef void zupgtr(char *uplo, int *n, z *ap, z *tau, z *q, int *ldq, z *work, int *info) noexcept nogil:
    
    _fortran_zupgtr(uplo, n, <npy_complex128*>ap, <npy_complex128*>tau, <npy_complex128*>q, ldq, <npy_complex128*>work, info)
    

cdef extern from "_lapack_subroutines.h":
    void _fortran_zupmtr "BLAS_FUNC(zupmtr)"(char *side, char *uplo, char *trans, int *m, int *n, npy_complex128 *ap, npy_complex128 *tau, npy_complex128 *c, int *ldc, npy_complex128 *work, int *info) nogil
cdef void zupmtr(char *side, char *uplo, char *trans, int *m, int *n, z *ap, z *tau, z *c, int *ldc, z *work, int *info) noexcept nogil:
    
    _fortran_zupmtr(side, uplo, trans, m, n, <npy_complex128*>ap, <npy_complex128*>tau, <npy_complex128*>c, ldc, <npy_complex128*>work, info)
    


# Python accessible wrappers for testing:

def _test_dlamch(cmach):
    # This conversion is necessary to handle Python 3 strings.
    cmach_bytes = bytes(cmach)
    # Now that it is a bytes representation, a non-temporary variable
    # must be passed as a part of the function call.
    cdef char* cmach_char = cmach_bytes
    return dlamch(cmach_char)

def _test_slamch(cmach):
    # This conversion is necessary to handle Python 3 strings.
    cmach_bytes = bytes(cmach)
    # Now that it is a bytes representation, a non-temporary variable
    # must be passed as a part of the function call.
    cdef char* cmach_char = cmach_bytes
    return slamch(cmach_char)

cpdef double complex _test_zladiv(double complex zx, double complex zy) noexcept nogil:
    return zladiv(&zx, &zy)

cpdef float complex _test_cladiv(float complex cx, float complex cy) noexcept nogil:
    return cladiv(&cx, &cy)
