Mercurial > hg > octave-nkf
comparison liboctave/numeric/EIG.cc @ 15271:648dabbb4c6b
build: Refactor liboctave into multiple subdirectories. Move libcruft into liboctave.
* array/Array-C.cc, array/Array-b.cc, array/Array-ch.cc, array/Array-d.cc,
array/Array-f.cc, array/Array-fC.cc, array/Array-i.cc, array/Array-idx-vec.cc,
array/Array-s.cc, array/Array-str.cc, array/Array-util.cc, array/Array-util.h,
array/Array-voidp.cc, array/Array.cc, array/Array.h, array/Array2.h,
array/Array3.h, array/ArrayN.h, array/CColVector.cc, array/CColVector.h,
array/CDiagMatrix.cc, array/CDiagMatrix.h, array/CMatrix.cc, array/CMatrix.h,
array/CNDArray.cc, array/CNDArray.h, array/CRowVector.cc, array/CRowVector.h,
array/CSparse.cc, array/CSparse.h, array/DiagArray2.cc, array/DiagArray2.h,
array/MArray-C.cc, array/MArray-d.cc, array/MArray-decl.h, array/MArray-defs.h,
array/MArray-f.cc, array/MArray-fC.cc, array/MArray-i.cc, array/MArray-s.cc,
array/MArray.cc, array/MArray.h, array/MArray2.h, array/MArrayN.h,
array/MDiagArray2.cc, array/MDiagArray2.h, array/MSparse-C.cc,
array/MSparse-d.cc, array/MSparse-defs.h, array/MSparse.cc, array/MSparse.h,
array/Matrix.h, array/MatrixType.cc, array/MatrixType.h, array/PermMatrix.cc,
array/PermMatrix.h, array/Range.cc, array/Range.h, array/Sparse-C.cc,
array/Sparse-b.cc, array/Sparse-d.cc, array/Sparse.cc, array/Sparse.h,
array/boolMatrix.cc, array/boolMatrix.h, array/boolNDArray.cc,
array/boolNDArray.h, array/boolSparse.cc, array/boolSparse.h,
array/chMatrix.cc, array/chMatrix.h, array/chNDArray.cc, array/chNDArray.h,
array/dColVector.cc, array/dColVector.h, array/dDiagMatrix.cc,
array/dDiagMatrix.h, array/dMatrix.cc, array/dMatrix.h, array/dNDArray.cc,
array/dNDArray.h, array/dRowVector.cc, array/dRowVector.h, array/dSparse.cc,
array/dSparse.h, array/dim-vector.cc, array/dim-vector.h, array/fCColVector.cc,
array/fCColVector.h, array/fCDiagMatrix.cc, array/fCDiagMatrix.h,
array/fCMatrix.cc, array/fCMatrix.h, array/fCNDArray.cc, array/fCNDArray.h,
array/fCRowVector.cc, array/fCRowVector.h, array/fColVector.cc,
array/fColVector.h, array/fDiagMatrix.cc, array/fDiagMatrix.h,
array/fMatrix.cc, array/fMatrix.h, array/fNDArray.cc, array/fNDArray.h,
array/fRowVector.cc, array/fRowVector.h, array/idx-vector.cc,
array/idx-vector.h, array/int16NDArray.cc, array/int16NDArray.h,
array/int32NDArray.cc, array/int32NDArray.h, array/int64NDArray.cc,
array/int64NDArray.h, array/int8NDArray.cc, array/int8NDArray.h,
array/intNDArray.cc, array/intNDArray.h, array/module.mk,
array/uint16NDArray.cc, array/uint16NDArray.h, array/uint32NDArray.cc,
array/uint32NDArray.h, array/uint64NDArray.cc, array/uint64NDArray.h,
array/uint8NDArray.cc, array/uint8NDArray.h:
Moved from liboctave dir to array subdirectory.
* cruft/Makefile.am, cruft/amos/README, cruft/amos/cacai.f, cruft/amos/cacon.f,
cruft/amos/cairy.f, cruft/amos/casyi.f, cruft/amos/cbesh.f, cruft/amos/cbesi.f,
cruft/amos/cbesj.f, cruft/amos/cbesk.f, cruft/amos/cbesy.f, cruft/amos/cbinu.f,
cruft/amos/cbiry.f, cruft/amos/cbknu.f, cruft/amos/cbuni.f, cruft/amos/cbunk.f,
cruft/amos/ckscl.f, cruft/amos/cmlri.f, cruft/amos/crati.f, cruft/amos/cs1s2.f,
cruft/amos/cseri.f, cruft/amos/cshch.f, cruft/amos/cuchk.f, cruft/amos/cunhj.f,
cruft/amos/cuni1.f, cruft/amos/cuni2.f, cruft/amos/cunik.f, cruft/amos/cunk1.f,
cruft/amos/cunk2.f, cruft/amos/cuoik.f, cruft/amos/cwrsk.f,
cruft/amos/dgamln.f, cruft/amos/gamln.f, cruft/amos/module.mk,
cruft/amos/xzabs.f, cruft/amos/xzexp.f, cruft/amos/xzlog.f,
cruft/amos/xzsqrt.f, cruft/amos/zacai.f, cruft/amos/zacon.f,
cruft/amos/zairy.f, cruft/amos/zasyi.f, cruft/amos/zbesh.f, cruft/amos/zbesi.f,
cruft/amos/zbesj.f, cruft/amos/zbesk.f, cruft/amos/zbesy.f, cruft/amos/zbinu.f,
cruft/amos/zbiry.f, cruft/amos/zbknu.f, cruft/amos/zbuni.f, cruft/amos/zbunk.f,
cruft/amos/zdiv.f, cruft/amos/zkscl.f, cruft/amos/zmlri.f, cruft/amos/zmlt.f,
cruft/amos/zrati.f, cruft/amos/zs1s2.f, cruft/amos/zseri.f, cruft/amos/zshch.f,
cruft/amos/zuchk.f, cruft/amos/zunhj.f, cruft/amos/zuni1.f, cruft/amos/zuni2.f,
cruft/amos/zunik.f, cruft/amos/zunk1.f, cruft/amos/zunk2.f, cruft/amos/zuoik.f,
cruft/amos/zwrsk.f, cruft/blas-xtra/cconv2.f, cruft/blas-xtra/cdotc3.f,
cruft/blas-xtra/cmatm3.f, cruft/blas-xtra/csconv2.f, cruft/blas-xtra/dconv2.f,
cruft/blas-xtra/ddot3.f, cruft/blas-xtra/dmatm3.f, cruft/blas-xtra/module.mk,
cruft/blas-xtra/sconv2.f, cruft/blas-xtra/sdot3.f, cruft/blas-xtra/smatm3.f,
cruft/blas-xtra/xcdotc.f, cruft/blas-xtra/xcdotu.f, cruft/blas-xtra/xddot.f,
cruft/blas-xtra/xdnrm2.f, cruft/blas-xtra/xdznrm2.f, cruft/blas-xtra/xerbla.f,
cruft/blas-xtra/xscnrm2.f, cruft/blas-xtra/xsdot.f, cruft/blas-xtra/xsnrm2.f,
cruft/blas-xtra/xzdotc.f, cruft/blas-xtra/xzdotu.f, cruft/blas-xtra/zconv2.f,
cruft/blas-xtra/zdconv2.f, cruft/blas-xtra/zdotc3.f, cruft/blas-xtra/zmatm3.f,
cruft/daspk/datv.f, cruft/daspk/dcnst0.f, cruft/daspk/dcnstr.f,
cruft/daspk/ddasic.f, cruft/daspk/ddasid.f, cruft/daspk/ddasik.f,
cruft/daspk/ddaspk.f, cruft/daspk/ddstp.f, cruft/daspk/ddwnrm.f,
cruft/daspk/dfnrmd.f, cruft/daspk/dfnrmk.f, cruft/daspk/dhels.f,
cruft/daspk/dheqr.f, cruft/daspk/dinvwt.f, cruft/daspk/dlinsd.f,
cruft/daspk/dlinsk.f, cruft/daspk/dmatd.f, cruft/daspk/dnedd.f,
cruft/daspk/dnedk.f, cruft/daspk/dnsd.f, cruft/daspk/dnsid.f,
cruft/daspk/dnsik.f, cruft/daspk/dnsk.f, cruft/daspk/dorth.f,
cruft/daspk/dslvd.f, cruft/daspk/dslvk.f, cruft/daspk/dspigm.f,
cruft/daspk/dyypnw.f, cruft/daspk/module.mk, cruft/dasrt/ddasrt.f,
cruft/dasrt/drchek.f, cruft/dasrt/droots.f, cruft/dasrt/module.mk,
cruft/dassl/ddaini.f, cruft/dassl/ddajac.f, cruft/dassl/ddanrm.f,
cruft/dassl/ddaslv.f, cruft/dassl/ddassl.f, cruft/dassl/ddastp.f,
cruft/dassl/ddatrp.f, cruft/dassl/ddawts.f, cruft/dassl/module.mk,
cruft/fftpack/cfftb.f, cruft/fftpack/cfftb1.f, cruft/fftpack/cfftf.f,
cruft/fftpack/cfftf1.f, cruft/fftpack/cffti.f, cruft/fftpack/cffti1.f,
cruft/fftpack/fftpack.doc, cruft/fftpack/module.mk, cruft/fftpack/passb.f,
cruft/fftpack/passb2.f, cruft/fftpack/passb3.f, cruft/fftpack/passb4.f,
cruft/fftpack/passb5.f, cruft/fftpack/passf.f, cruft/fftpack/passf2.f,
cruft/fftpack/passf3.f, cruft/fftpack/passf4.f, cruft/fftpack/passf5.f,
cruft/fftpack/zfftb.f, cruft/fftpack/zfftb1.f, cruft/fftpack/zfftf.f,
cruft/fftpack/zfftf1.f, cruft/fftpack/zffti.f, cruft/fftpack/zffti1.f,
cruft/fftpack/zpassb.f, cruft/fftpack/zpassb2.f, cruft/fftpack/zpassb3.f,
cruft/fftpack/zpassb4.f, cruft/fftpack/zpassb5.f, cruft/fftpack/zpassf.f,
cruft/fftpack/zpassf2.f, cruft/fftpack/zpassf3.f, cruft/fftpack/zpassf4.f,
cruft/fftpack/zpassf5.f, cruft/lapack-xtra/crsf2csf.f,
cruft/lapack-xtra/module.mk, cruft/lapack-xtra/xclange.f,
cruft/lapack-xtra/xdlamch.f, cruft/lapack-xtra/xdlange.f,
cruft/lapack-xtra/xilaenv.f, cruft/lapack-xtra/xslamch.f,
cruft/lapack-xtra/xslange.f, cruft/lapack-xtra/xzlange.f,
cruft/lapack-xtra/zrsf2csf.f, cruft/link-deps.mk, cruft/misc/blaswrap.c,
cruft/misc/cquit.c, cruft/misc/d1mach-tst.for, cruft/misc/d1mach.f,
cruft/misc/f77-extern.cc, cruft/misc/f77-fcn.c, cruft/misc/f77-fcn.h,
cruft/misc/i1mach.f, cruft/misc/lo-error.c, cruft/misc/lo-error.h,
cruft/misc/module.mk, cruft/misc/quit.cc, cruft/misc/quit.h,
cruft/misc/r1mach.f, cruft/mkf77def.in, cruft/odepack/cfode.f,
cruft/odepack/dlsode.f, cruft/odepack/ewset.f, cruft/odepack/intdy.f,
cruft/odepack/module.mk, cruft/odepack/prepj.f, cruft/odepack/scfode.f,
cruft/odepack/sewset.f, cruft/odepack/sintdy.f, cruft/odepack/slsode.f,
cruft/odepack/solsy.f, cruft/odepack/sprepj.f, cruft/odepack/ssolsy.f,
cruft/odepack/sstode.f, cruft/odepack/stode.f, cruft/odepack/svnorm.f,
cruft/odepack/vnorm.f, cruft/ordered-qz/README, cruft/ordered-qz/dsubsp.f,
cruft/ordered-qz/exchqz.f, cruft/ordered-qz/module.mk,
cruft/ordered-qz/sexchqz.f, cruft/ordered-qz/ssubsp.f, cruft/quadpack/dqagi.f,
cruft/quadpack/dqagie.f, cruft/quadpack/dqagp.f, cruft/quadpack/dqagpe.f,
cruft/quadpack/dqelg.f, cruft/quadpack/dqk15i.f, cruft/quadpack/dqk21.f,
cruft/quadpack/dqpsrt.f, cruft/quadpack/module.mk, cruft/quadpack/qagi.f,
cruft/quadpack/qagie.f, cruft/quadpack/qagp.f, cruft/quadpack/qagpe.f,
cruft/quadpack/qelg.f, cruft/quadpack/qk15i.f, cruft/quadpack/qk21.f,
cruft/quadpack/qpsrt.f, cruft/quadpack/xerror.f, cruft/ranlib/Basegen.doc,
cruft/ranlib/HOWTOGET, cruft/ranlib/README, cruft/ranlib/advnst.f,
cruft/ranlib/genbet.f, cruft/ranlib/genchi.f, cruft/ranlib/genexp.f,
cruft/ranlib/genf.f, cruft/ranlib/gengam.f, cruft/ranlib/genmn.f,
cruft/ranlib/genmul.f, cruft/ranlib/gennch.f, cruft/ranlib/gennf.f,
cruft/ranlib/gennor.f, cruft/ranlib/genprm.f, cruft/ranlib/genunf.f,
cruft/ranlib/getcgn.f, cruft/ranlib/getsd.f, cruft/ranlib/ignbin.f,
cruft/ranlib/ignlgi.f, cruft/ranlib/ignnbn.f, cruft/ranlib/ignpoi.f,
cruft/ranlib/ignuin.f, cruft/ranlib/initgn.f, cruft/ranlib/inrgcm.f,
cruft/ranlib/lennob.f, cruft/ranlib/mltmod.f, cruft/ranlib/module.mk,
cruft/ranlib/phrtsd.f, cruft/ranlib/qrgnin.f, cruft/ranlib/randlib.chs,
cruft/ranlib/randlib.fdoc, cruft/ranlib/ranf.f, cruft/ranlib/setall.f,
cruft/ranlib/setant.f, cruft/ranlib/setgmn.f, cruft/ranlib/setsd.f,
cruft/ranlib/sexpo.f, cruft/ranlib/sgamma.f, cruft/ranlib/snorm.f,
cruft/ranlib/tstbot.for, cruft/ranlib/tstgmn.for, cruft/ranlib/tstmid.for,
cruft/ranlib/wrap.f, cruft/slatec-err/fdump.f, cruft/slatec-err/ixsav.f,
cruft/slatec-err/j4save.f, cruft/slatec-err/module.mk,
cruft/slatec-err/xerclr.f, cruft/slatec-err/xercnt.f,
cruft/slatec-err/xerhlt.f, cruft/slatec-err/xermsg.f,
cruft/slatec-err/xerprn.f, cruft/slatec-err/xerrwd.f,
cruft/slatec-err/xersve.f, cruft/slatec-err/xgetf.f, cruft/slatec-err/xgetua.f,
cruft/slatec-err/xsetf.f, cruft/slatec-err/xsetua.f, cruft/slatec-fn/acosh.f,
cruft/slatec-fn/albeta.f, cruft/slatec-fn/algams.f, cruft/slatec-fn/alngam.f,
cruft/slatec-fn/alnrel.f, cruft/slatec-fn/asinh.f, cruft/slatec-fn/atanh.f,
cruft/slatec-fn/betai.f, cruft/slatec-fn/csevl.f, cruft/slatec-fn/d9gmit.f,
cruft/slatec-fn/d9lgic.f, cruft/slatec-fn/d9lgit.f, cruft/slatec-fn/d9lgmc.f,
cruft/slatec-fn/dacosh.f, cruft/slatec-fn/dasinh.f, cruft/slatec-fn/datanh.f,
cruft/slatec-fn/dbetai.f, cruft/slatec-fn/dcsevl.f, cruft/slatec-fn/derf.f,
cruft/slatec-fn/derfc.in.f, cruft/slatec-fn/dgami.f, cruft/slatec-fn/dgamit.f,
cruft/slatec-fn/dgamlm.f, cruft/slatec-fn/dgamma.f, cruft/slatec-fn/dgamr.f,
cruft/slatec-fn/dlbeta.f, cruft/slatec-fn/dlgams.f, cruft/slatec-fn/dlngam.f,
cruft/slatec-fn/dlnrel.f, cruft/slatec-fn/dpchim.f, cruft/slatec-fn/dpchst.f,
cruft/slatec-fn/erf.f, cruft/slatec-fn/erfc.in.f, cruft/slatec-fn/gami.f,
cruft/slatec-fn/gamit.f, cruft/slatec-fn/gamlim.f, cruft/slatec-fn/gamma.f,
cruft/slatec-fn/gamr.f, cruft/slatec-fn/initds.f, cruft/slatec-fn/inits.f,
cruft/slatec-fn/module.mk, cruft/slatec-fn/pchim.f, cruft/slatec-fn/pchst.f,
cruft/slatec-fn/r9gmit.f, cruft/slatec-fn/r9lgic.f, cruft/slatec-fn/r9lgit.f,
cruft/slatec-fn/r9lgmc.f, cruft/slatec-fn/xacosh.f, cruft/slatec-fn/xasinh.f,
cruft/slatec-fn/xatanh.f, cruft/slatec-fn/xbetai.f, cruft/slatec-fn/xdacosh.f,
cruft/slatec-fn/xdasinh.f, cruft/slatec-fn/xdatanh.f,
cruft/slatec-fn/xdbetai.f, cruft/slatec-fn/xderf.f, cruft/slatec-fn/xderfc.f,
cruft/slatec-fn/xdgami.f, cruft/slatec-fn/xdgamit.f, cruft/slatec-fn/xdgamma.f,
cruft/slatec-fn/xerf.f, cruft/slatec-fn/xerfc.f, cruft/slatec-fn/xgamma.f,
cruft/slatec-fn/xgmainc.f, cruft/slatec-fn/xsgmainc.f:
Moved from top-level libcruft to cruft directory below liboctave.
* numeric/CmplxAEPBAL.cc, numeric/CmplxAEPBAL.h, numeric/CmplxCHOL.cc,
numeric/CmplxCHOL.h, numeric/CmplxGEPBAL.cc, numeric/CmplxGEPBAL.h,
numeric/CmplxHESS.cc, numeric/CmplxHESS.h, numeric/CmplxLU.cc,
numeric/CmplxLU.h, numeric/CmplxQR.cc, numeric/CmplxQR.h, numeric/CmplxQRP.cc,
numeric/CmplxQRP.h, numeric/CmplxSCHUR.cc, numeric/CmplxSCHUR.h,
numeric/CmplxSVD.cc, numeric/CmplxSVD.h, numeric/CollocWt.cc,
numeric/CollocWt.h, numeric/DAE.h, numeric/DAEFunc.h, numeric/DAERT.h,
numeric/DAERTFunc.h, numeric/DASPK-opts.in, numeric/DASPK.cc, numeric/DASPK.h,
numeric/DASRT-opts.in, numeric/DASRT.cc, numeric/DASRT.h,
numeric/DASSL-opts.in, numeric/DASSL.cc, numeric/DASSL.h, numeric/DET.h,
numeric/EIG.cc, numeric/EIG.h, numeric/LSODE-opts.in, numeric/LSODE.cc,
numeric/LSODE.h, numeric/ODE.h, numeric/ODEFunc.h, numeric/ODES.cc,
numeric/ODES.h, numeric/ODESFunc.h, numeric/Quad-opts.in, numeric/Quad.cc,
numeric/Quad.h, numeric/SparseCmplxCHOL.cc, numeric/SparseCmplxCHOL.h,
numeric/SparseCmplxLU.cc, numeric/SparseCmplxLU.h, numeric/SparseCmplxQR.cc,
numeric/SparseCmplxQR.h, numeric/SparseQR.cc, numeric/SparseQR.h,
numeric/SparsedbleCHOL.cc, numeric/SparsedbleCHOL.h, numeric/SparsedbleLU.cc,
numeric/SparsedbleLU.h, numeric/base-aepbal.h, numeric/base-dae.h,
numeric/base-de.h, numeric/base-lu.cc, numeric/base-lu.h, numeric/base-min.h,
numeric/base-qr.cc, numeric/base-qr.h, numeric/bsxfun-decl.h,
numeric/bsxfun-defs.cc, numeric/bsxfun.h, numeric/dbleAEPBAL.cc,
numeric/dbleAEPBAL.h, numeric/dbleCHOL.cc, numeric/dbleCHOL.h,
numeric/dbleGEPBAL.cc, numeric/dbleGEPBAL.h, numeric/dbleHESS.cc,
numeric/dbleHESS.h, numeric/dbleLU.cc, numeric/dbleLU.h, numeric/dbleQR.cc,
numeric/dbleQR.h, numeric/dbleQRP.cc, numeric/dbleQRP.h, numeric/dbleSCHUR.cc,
numeric/dbleSCHUR.h, numeric/dbleSVD.cc, numeric/dbleSVD.h,
numeric/eigs-base.cc, numeric/fCmplxAEPBAL.cc, numeric/fCmplxAEPBAL.h,
numeric/fCmplxCHOL.cc, numeric/fCmplxCHOL.h, numeric/fCmplxGEPBAL.cc,
numeric/fCmplxGEPBAL.h, numeric/fCmplxHESS.cc, numeric/fCmplxHESS.h,
numeric/fCmplxLU.cc, numeric/fCmplxLU.h, numeric/fCmplxQR.cc,
numeric/fCmplxQR.h, numeric/fCmplxQRP.cc, numeric/fCmplxQRP.h,
numeric/fCmplxSCHUR.cc, numeric/fCmplxSCHUR.h, numeric/fCmplxSVD.cc,
numeric/fCmplxSVD.h, numeric/fEIG.cc, numeric/fEIG.h, numeric/floatAEPBAL.cc,
numeric/floatAEPBAL.h, numeric/floatCHOL.cc, numeric/floatCHOL.h,
numeric/floatGEPBAL.cc, numeric/floatGEPBAL.h, numeric/floatHESS.cc,
numeric/floatHESS.h, numeric/floatLU.cc, numeric/floatLU.h, numeric/floatQR.cc,
numeric/floatQR.h, numeric/floatQRP.cc, numeric/floatQRP.h,
numeric/floatSCHUR.cc, numeric/floatSCHUR.h, numeric/floatSVD.cc,
numeric/floatSVD.h, numeric/lo-mappers.cc, numeric/lo-mappers.h,
numeric/lo-specfun.cc, numeric/lo-specfun.h, numeric/module.mk,
numeric/oct-convn.cc, numeric/oct-convn.h, numeric/oct-fftw.cc,
numeric/oct-fftw.h, numeric/oct-norm.cc, numeric/oct-norm.h,
numeric/oct-rand.cc, numeric/oct-rand.h, numeric/oct-spparms.cc,
numeric/oct-spparms.h, numeric/randgamma.c, numeric/randgamma.h,
numeric/randmtzig.c, numeric/randmtzig.h, numeric/randpoisson.c,
numeric/randpoisson.h, numeric/sparse-base-chol.cc, numeric/sparse-base-chol.h,
numeric/sparse-base-lu.cc, numeric/sparse-base-lu.h, numeric/sparse-dmsolve.cc:
Moved from liboctave dir to numeric subdirectory.
* operators/Sparse-diag-op-defs.h, operators/Sparse-op-defs.h,
operators/Sparse-perm-op-defs.h, operators/config-ops.sh, operators/mk-ops.awk,
operators/module.mk, operators/mx-base.h, operators/mx-defs.h,
operators/mx-ext.h, operators/mx-inlines.cc, operators/mx-op-decl.h,
operators/mx-op-defs.h, operators/mx-ops, operators/sparse-mk-ops.awk,
operators/sparse-mx-ops, operators/vx-ops:
Moved from liboctave dir to operators subdirectory.
* system/dir-ops.cc, system/dir-ops.h, system/file-ops.cc, system/file-ops.h,
system/file-stat.cc, system/file-stat.h, system/lo-sysdep.cc,
system/lo-sysdep.h, system/mach-info.cc, system/mach-info.h, system/module.mk,
system/oct-env.cc, system/oct-env.h, system/oct-group.cc, system/oct-group.h,
system/oct-openmp.h, system/oct-passwd.cc, system/oct-passwd.h,
system/oct-syscalls.cc, system/oct-syscalls.h, system/oct-time.cc,
system/oct-time.h, system/oct-uname.cc, system/oct-uname.h, system/pathlen.h,
system/sysdir.h, system/syswait.h, system/tempnam.c, system/tempname.c:
Moved from liboctave dir to system subdirectory.
* util/base-list.h, util/byte-swap.h, util/caseless-str.h, util/cmd-edit.cc,
util/cmd-edit.h, util/cmd-hist.cc, util/cmd-hist.h, util/data-conv.cc,
util/data-conv.h, util/f2c-main.c, util/functor.h, util/glob-match.cc,
util/glob-match.h, util/kpse.cc, util/lo-array-gripes.cc,
util/lo-array-gripes.h, util/lo-cieee.c, util/lo-cutils.c, util/lo-cutils.h,
util/lo-ieee.cc, util/lo-ieee.h, util/lo-macros.h, util/lo-math.h,
util/lo-traits.h, util/lo-utils.cc, util/lo-utils.h, util/module.mk,
util/oct-alloc.cc, util/oct-alloc.h, util/oct-base64.cc, util/oct-base64.h,
util/oct-binmap.h, util/oct-cmplx.h, util/oct-glob.cc, util/oct-glob.h,
util/oct-inttypes.cc, util/oct-inttypes.h, util/oct-locbuf.cc,
util/oct-locbuf.h, util/oct-md5.cc, util/oct-md5.h, util/oct-mem.h,
util/oct-mutex.cc, util/oct-mutex.h, util/oct-refcount.h, util/oct-rl-edit.c,
util/oct-rl-edit.h, util/oct-rl-hist.c, util/oct-rl-hist.h, util/oct-shlib.cc,
util/oct-shlib.h, util/oct-sort.cc, util/oct-sort.h, util/oct-sparse.h,
util/pathsearch.cc, util/pathsearch.h, util/regexp.cc, util/regexp.h,
util/singleton-cleanup.cc, util/singleton-cleanup.h, util/sparse-sort.cc,
util/sparse-sort.h, util/sparse-util.cc, util/sparse-util.h, util/statdefs.h,
util/str-vec.cc, util/str-vec.h, util/sun-utils.h:
Moved from liboctave dir to util subdirectory.
* Makefile.am: Eliminate reference to top-level liboctave directory.
* autogen.sh: cd to new liboctave/operators directory to run config-ops.sh.
* build-aux/common.mk: Eliminate LIBCRUFT references.
* configure.ac: Eliminate libcruft top-level references. Switch test
programs to find files in liboctave/cruft subdirectory.
* OctaveFAQ.texi, install.txi, mkoctfile.1: Eliminate references to libcruft in
docs.
* libgui/src/Makefile.am, libinterp/Makefile.am, src/Makefile.am: Update
include file locations. Stop linking against libcruft.
* libinterp/corefcn/module.mk: Update location of OPT_INC files which are
now in numeric/ subdirectory.
* libinterp/dldfcn/config-module.awk: Stop linking against libcruft.
* libinterp/interpfcn/toplev.cc: Remove reference to LIBCRUFT.
* libinterp/link-deps.mk, liboctave/link-deps.mk:
Add GNULIB_LINK_DEPS to link dependencies.
* libinterp/oct-conf.in.h: Remove reference to OCTAVE_CONF_LIBCRUFT.
* liboctave/Makefile.am: Overhaul to use convenience libraries in
subdirectories.
* scripts/miscellaneous/mkoctfile.m: Eliminate reference to LIBCRUFT.
* src/mkoctfile.in.cc, src/mkoctfile.in.sh: Stop linking againt libcruft.
Eliminate references to LIBCRUFT.
| author | Rik <rik@octave.org> |
|---|---|
| date | Fri, 31 Aug 2012 20:00:20 -0700 |
| parents | liboctave/EIG.cc@3d8ace26c5b4 |
| children | d63878346099 |
comparison
equal
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| 15270:6615a46d90ec | 15271:648dabbb4c6b |
|---|---|
| 1 /* | |
| 2 | |
| 3 Copyright (C) 1994-2012 John W. Eaton | |
| 4 | |
| 5 This file is part of Octave. | |
| 6 | |
| 7 Octave is free software; you can redistribute it and/or modify it | |
| 8 under the terms of the GNU General Public License as published by the | |
| 9 Free Software Foundation; either version 3 of the License, or (at your | |
| 10 option) any later version. | |
| 11 | |
| 12 Octave is distributed in the hope that it will be useful, but WITHOUT | |
| 13 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or | |
| 14 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License | |
| 15 for more details. | |
| 16 | |
| 17 You should have received a copy of the GNU General Public License | |
| 18 along with Octave; see the file COPYING. If not, see | |
| 19 <http://www.gnu.org/licenses/>. | |
| 20 | |
| 21 */ | |
| 22 | |
| 23 #ifdef HAVE_CONFIG_H | |
| 24 #include <config.h> | |
| 25 #endif | |
| 26 | |
| 27 #include "EIG.h" | |
| 28 #include "dColVector.h" | |
| 29 #include "f77-fcn.h" | |
| 30 #include "lo-error.h" | |
| 31 | |
| 32 extern "C" | |
| 33 { | |
| 34 F77_RET_T | |
| 35 F77_FUNC (dgeev, DGEEV) (F77_CONST_CHAR_ARG_DECL, | |
| 36 F77_CONST_CHAR_ARG_DECL, | |
| 37 const octave_idx_type&, double*, | |
| 38 const octave_idx_type&, double*, double*, | |
| 39 double*, const octave_idx_type&, double*, | |
| 40 const octave_idx_type&, double*, | |
| 41 const octave_idx_type&, octave_idx_type& | |
| 42 F77_CHAR_ARG_LEN_DECL | |
| 43 F77_CHAR_ARG_LEN_DECL); | |
| 44 | |
| 45 F77_RET_T | |
| 46 F77_FUNC (zgeev, ZGEEV) (F77_CONST_CHAR_ARG_DECL, | |
| 47 F77_CONST_CHAR_ARG_DECL, | |
| 48 const octave_idx_type&, Complex*, | |
| 49 const octave_idx_type&, Complex*, | |
| 50 Complex*, const octave_idx_type&, Complex*, | |
| 51 const octave_idx_type&, Complex*, | |
| 52 const octave_idx_type&, double*, octave_idx_type& | |
| 53 F77_CHAR_ARG_LEN_DECL | |
| 54 F77_CHAR_ARG_LEN_DECL); | |
| 55 | |
| 56 F77_RET_T | |
| 57 F77_FUNC (dsyev, DSYEV) (F77_CONST_CHAR_ARG_DECL, | |
| 58 F77_CONST_CHAR_ARG_DECL, | |
| 59 const octave_idx_type&, double*, | |
| 60 const octave_idx_type&, double*, double*, | |
| 61 const octave_idx_type&, octave_idx_type& | |
| 62 F77_CHAR_ARG_LEN_DECL | |
| 63 F77_CHAR_ARG_LEN_DECL); | |
| 64 | |
| 65 F77_RET_T | |
| 66 F77_FUNC (zheev, ZHEEV) (F77_CONST_CHAR_ARG_DECL, | |
| 67 F77_CONST_CHAR_ARG_DECL, | |
| 68 const octave_idx_type&, Complex*, | |
| 69 const octave_idx_type&, double*, | |
| 70 Complex*, const octave_idx_type&, double*, | |
| 71 octave_idx_type& | |
| 72 F77_CHAR_ARG_LEN_DECL | |
| 73 F77_CHAR_ARG_LEN_DECL); | |
| 74 | |
| 75 F77_RET_T | |
| 76 F77_FUNC (dpotrf, DPOTRF) (F77_CONST_CHAR_ARG_DECL, | |
| 77 const octave_idx_type&, double*, | |
| 78 const octave_idx_type&, octave_idx_type& | |
| 79 F77_CHAR_ARG_LEN_DECL | |
| 80 F77_CHAR_ARG_LEN_DECL); | |
| 81 | |
| 82 F77_RET_T | |
| 83 F77_FUNC (zpotrf, ZPOTRF) (F77_CONST_CHAR_ARG_DECL, | |
| 84 const octave_idx_type&, | |
| 85 Complex*, const octave_idx_type&, | |
| 86 octave_idx_type& | |
| 87 F77_CHAR_ARG_LEN_DECL | |
| 88 F77_CHAR_ARG_LEN_DECL); | |
| 89 | |
| 90 F77_RET_T | |
| 91 F77_FUNC (dggev, DGGEV) (F77_CONST_CHAR_ARG_DECL, | |
| 92 F77_CONST_CHAR_ARG_DECL, | |
| 93 const octave_idx_type&, | |
| 94 double*, const octave_idx_type&, | |
| 95 double*, const octave_idx_type&, | |
| 96 double*, double*, double *, double*, | |
| 97 const octave_idx_type&, double*, | |
| 98 const octave_idx_type&, double*, | |
| 99 const octave_idx_type&, octave_idx_type& | |
| 100 F77_CHAR_ARG_LEN_DECL | |
| 101 F77_CHAR_ARG_LEN_DECL); | |
| 102 | |
| 103 F77_RET_T | |
| 104 F77_FUNC (dsygv, DSYGV) (const octave_idx_type&, | |
| 105 F77_CONST_CHAR_ARG_DECL, | |
| 106 F77_CONST_CHAR_ARG_DECL, | |
| 107 const octave_idx_type&, double*, | |
| 108 const octave_idx_type&, double*, | |
| 109 const octave_idx_type&, double*, double*, | |
| 110 const octave_idx_type&, octave_idx_type& | |
| 111 F77_CHAR_ARG_LEN_DECL | |
| 112 F77_CHAR_ARG_LEN_DECL); | |
| 113 | |
| 114 F77_RET_T | |
| 115 F77_FUNC (zggev, ZGGEV) (F77_CONST_CHAR_ARG_DECL, | |
| 116 F77_CONST_CHAR_ARG_DECL, | |
| 117 const octave_idx_type&, | |
| 118 Complex*, const octave_idx_type&, | |
| 119 Complex*, const octave_idx_type&, | |
| 120 Complex*, Complex*, Complex*, | |
| 121 const octave_idx_type&, Complex*, | |
| 122 const octave_idx_type&, Complex*, | |
| 123 const octave_idx_type&, double*, octave_idx_type& | |
| 124 F77_CHAR_ARG_LEN_DECL | |
| 125 F77_CHAR_ARG_LEN_DECL); | |
| 126 | |
| 127 F77_RET_T | |
| 128 F77_FUNC (zhegv, ZHEGV) (const octave_idx_type&, | |
| 129 F77_CONST_CHAR_ARG_DECL, | |
| 130 F77_CONST_CHAR_ARG_DECL, | |
| 131 const octave_idx_type&, Complex*, | |
| 132 const octave_idx_type&, Complex*, | |
| 133 const octave_idx_type&, double*, Complex*, | |
| 134 const octave_idx_type&, double*, octave_idx_type& | |
| 135 F77_CHAR_ARG_LEN_DECL | |
| 136 F77_CHAR_ARG_LEN_DECL); | |
| 137 } | |
| 138 | |
| 139 octave_idx_type | |
| 140 EIG::init (const Matrix& a, bool calc_ev) | |
| 141 { | |
| 142 if (a.any_element_is_inf_or_nan ()) | |
| 143 { | |
| 144 (*current_liboctave_error_handler) | |
| 145 ("EIG: matrix contains Inf or NaN values"); | |
| 146 return -1; | |
| 147 } | |
| 148 | |
| 149 if (a.is_symmetric ()) | |
| 150 return symmetric_init (a, calc_ev); | |
| 151 | |
| 152 octave_idx_type n = a.rows (); | |
| 153 | |
| 154 if (n != a.cols ()) | |
| 155 { | |
| 156 (*current_liboctave_error_handler) ("EIG requires square matrix"); | |
| 157 return -1; | |
| 158 } | |
| 159 | |
| 160 octave_idx_type info = 0; | |
| 161 | |
| 162 Matrix atmp = a; | |
| 163 double *tmp_data = atmp.fortran_vec (); | |
| 164 | |
| 165 Array<double> wr (dim_vector (n, 1)); | |
| 166 double *pwr = wr.fortran_vec (); | |
| 167 | |
| 168 Array<double> wi (dim_vector (n, 1)); | |
| 169 double *pwi = wi.fortran_vec (); | |
| 170 | |
| 171 octave_idx_type tnvr = calc_ev ? n : 0; | |
| 172 Matrix vr (tnvr, tnvr); | |
| 173 double *pvr = vr.fortran_vec (); | |
| 174 | |
| 175 octave_idx_type lwork = -1; | |
| 176 double dummy_work; | |
| 177 | |
| 178 double *dummy = 0; | |
| 179 octave_idx_type idummy = 1; | |
| 180 | |
| 181 F77_XFCN (dgeev, DGEEV, (F77_CONST_CHAR_ARG2 ("N", 1), | |
| 182 F77_CONST_CHAR_ARG2 (calc_ev ? "V" : "N", 1), | |
| 183 n, tmp_data, n, pwr, pwi, dummy, | |
| 184 idummy, pvr, n, &dummy_work, lwork, info | |
| 185 F77_CHAR_ARG_LEN (1) | |
| 186 F77_CHAR_ARG_LEN (1))); | |
| 187 | |
| 188 if (info == 0) | |
| 189 { | |
| 190 lwork = static_cast<octave_idx_type> (dummy_work); | |
| 191 Array<double> work (dim_vector (lwork, 1)); | |
| 192 double *pwork = work.fortran_vec (); | |
| 193 | |
| 194 F77_XFCN (dgeev, DGEEV, (F77_CONST_CHAR_ARG2 ("N", 1), | |
| 195 F77_CONST_CHAR_ARG2 (calc_ev ? "V" : "N", 1), | |
| 196 n, tmp_data, n, pwr, pwi, dummy, | |
| 197 idummy, pvr, n, pwork, lwork, info | |
| 198 F77_CHAR_ARG_LEN (1) | |
| 199 F77_CHAR_ARG_LEN (1))); | |
| 200 | |
| 201 if (info < 0) | |
| 202 { | |
| 203 (*current_liboctave_error_handler) ("unrecoverable error in dgeev"); | |
| 204 return info; | |
| 205 } | |
| 206 | |
| 207 if (info > 0) | |
| 208 { | |
| 209 (*current_liboctave_error_handler) ("dgeev failed to converge"); | |
| 210 return info; | |
| 211 } | |
| 212 | |
| 213 lambda.resize (n); | |
| 214 octave_idx_type nvr = calc_ev ? n : 0; | |
| 215 v.resize (nvr, nvr); | |
| 216 | |
| 217 for (octave_idx_type j = 0; j < n; j++) | |
| 218 { | |
| 219 if (wi.elem (j) == 0.0) | |
| 220 { | |
| 221 lambda.elem (j) = Complex (wr.elem (j)); | |
| 222 for (octave_idx_type i = 0; i < nvr; i++) | |
| 223 v.elem (i, j) = vr.elem (i, j); | |
| 224 } | |
| 225 else | |
| 226 { | |
| 227 if (j+1 >= n) | |
| 228 { | |
| 229 (*current_liboctave_error_handler) ("EIG: internal error"); | |
| 230 return -1; | |
| 231 } | |
| 232 | |
| 233 lambda.elem (j) = Complex (wr.elem (j), wi.elem (j)); | |
| 234 lambda.elem (j+1) = Complex (wr.elem (j+1), wi.elem (j+1)); | |
| 235 | |
| 236 for (octave_idx_type i = 0; i < nvr; i++) | |
| 237 { | |
| 238 double real_part = vr.elem (i, j); | |
| 239 double imag_part = vr.elem (i, j+1); | |
| 240 v.elem (i, j) = Complex (real_part, imag_part); | |
| 241 v.elem (i, j+1) = Complex (real_part, -imag_part); | |
| 242 } | |
| 243 j++; | |
| 244 } | |
| 245 } | |
| 246 } | |
| 247 else | |
| 248 (*current_liboctave_error_handler) ("dgeev workspace query failed"); | |
| 249 | |
| 250 return info; | |
| 251 } | |
| 252 | |
| 253 octave_idx_type | |
| 254 EIG::symmetric_init (const Matrix& a, bool calc_ev) | |
| 255 { | |
| 256 octave_idx_type n = a.rows (); | |
| 257 | |
| 258 if (n != a.cols ()) | |
| 259 { | |
| 260 (*current_liboctave_error_handler) ("EIG requires square matrix"); | |
| 261 return -1; | |
| 262 } | |
| 263 | |
| 264 octave_idx_type info = 0; | |
| 265 | |
| 266 Matrix atmp = a; | |
| 267 double *tmp_data = atmp.fortran_vec (); | |
| 268 | |
| 269 ColumnVector wr (n); | |
| 270 double *pwr = wr.fortran_vec (); | |
| 271 | |
| 272 octave_idx_type lwork = -1; | |
| 273 double dummy_work; | |
| 274 | |
| 275 F77_XFCN (dsyev, DSYEV, (F77_CONST_CHAR_ARG2 (calc_ev ? "V" : "N", 1), | |
| 276 F77_CONST_CHAR_ARG2 ("U", 1), | |
| 277 n, tmp_data, n, pwr, &dummy_work, lwork, info | |
| 278 F77_CHAR_ARG_LEN (1) | |
| 279 F77_CHAR_ARG_LEN (1))); | |
| 280 | |
| 281 if (info == 0) | |
| 282 { | |
| 283 lwork = static_cast<octave_idx_type> (dummy_work); | |
| 284 Array<double> work (dim_vector (lwork, 1)); | |
| 285 double *pwork = work.fortran_vec (); | |
| 286 | |
| 287 F77_XFCN (dsyev, DSYEV, (F77_CONST_CHAR_ARG2 (calc_ev ? "V" : "N", 1), | |
| 288 F77_CONST_CHAR_ARG2 ("U", 1), | |
| 289 n, tmp_data, n, pwr, pwork, lwork, info | |
| 290 F77_CHAR_ARG_LEN (1) | |
| 291 F77_CHAR_ARG_LEN (1))); | |
| 292 | |
| 293 if (info < 0) | |
| 294 { | |
| 295 (*current_liboctave_error_handler) ("unrecoverable error in dsyev"); | |
| 296 return info; | |
| 297 } | |
| 298 | |
| 299 if (info > 0) | |
| 300 { | |
| 301 (*current_liboctave_error_handler) ("dsyev failed to converge"); | |
| 302 return info; | |
| 303 } | |
| 304 | |
| 305 lambda = ComplexColumnVector (wr); | |
| 306 v = calc_ev ? ComplexMatrix (atmp) : ComplexMatrix (); | |
| 307 } | |
| 308 else | |
| 309 (*current_liboctave_error_handler) ("dsyev workspace query failed"); | |
| 310 | |
| 311 return info; | |
| 312 } | |
| 313 | |
| 314 octave_idx_type | |
| 315 EIG::init (const ComplexMatrix& a, bool calc_ev) | |
| 316 { | |
| 317 if (a.any_element_is_inf_or_nan ()) | |
| 318 { | |
| 319 (*current_liboctave_error_handler) | |
| 320 ("EIG: matrix contains Inf or NaN values"); | |
| 321 return -1; | |
| 322 } | |
| 323 | |
| 324 if (a.is_hermitian ()) | |
| 325 return hermitian_init (a, calc_ev); | |
| 326 | |
| 327 octave_idx_type n = a.rows (); | |
| 328 | |
| 329 if (n != a.cols ()) | |
| 330 { | |
| 331 (*current_liboctave_error_handler) ("EIG requires square matrix"); | |
| 332 return -1; | |
| 333 } | |
| 334 | |
| 335 octave_idx_type info = 0; | |
| 336 | |
| 337 ComplexMatrix atmp = a; | |
| 338 Complex *tmp_data = atmp.fortran_vec (); | |
| 339 | |
| 340 ComplexColumnVector w (n); | |
| 341 Complex *pw = w.fortran_vec (); | |
| 342 | |
| 343 octave_idx_type nvr = calc_ev ? n : 0; | |
| 344 ComplexMatrix vtmp (nvr, nvr); | |
| 345 Complex *pv = vtmp.fortran_vec (); | |
| 346 | |
| 347 octave_idx_type lwork = -1; | |
| 348 Complex dummy_work; | |
| 349 | |
| 350 octave_idx_type lrwork = 2*n; | |
| 351 Array<double> rwork (dim_vector (lrwork, 1)); | |
| 352 double *prwork = rwork.fortran_vec (); | |
| 353 | |
| 354 Complex *dummy = 0; | |
| 355 octave_idx_type idummy = 1; | |
| 356 | |
| 357 F77_XFCN (zgeev, ZGEEV, (F77_CONST_CHAR_ARG2 ("N", 1), | |
| 358 F77_CONST_CHAR_ARG2 (calc_ev ? "V" : "N", 1), | |
| 359 n, tmp_data, n, pw, dummy, idummy, | |
| 360 pv, n, &dummy_work, lwork, prwork, info | |
| 361 F77_CHAR_ARG_LEN (1) | |
| 362 F77_CHAR_ARG_LEN (1))); | |
| 363 | |
| 364 if (info == 0) | |
| 365 { | |
| 366 lwork = static_cast<octave_idx_type> (dummy_work.real ()); | |
| 367 Array<Complex> work (dim_vector (lwork, 1)); | |
| 368 Complex *pwork = work.fortran_vec (); | |
| 369 | |
| 370 F77_XFCN (zgeev, ZGEEV, (F77_CONST_CHAR_ARG2 ("N", 1), | |
| 371 F77_CONST_CHAR_ARG2 (calc_ev ? "V" : "N", 1), | |
| 372 n, tmp_data, n, pw, dummy, idummy, | |
| 373 pv, n, pwork, lwork, prwork, info | |
| 374 F77_CHAR_ARG_LEN (1) | |
| 375 F77_CHAR_ARG_LEN (1))); | |
| 376 | |
| 377 if (info < 0) | |
| 378 { | |
| 379 (*current_liboctave_error_handler) ("unrecoverable error in zgeev"); | |
| 380 return info; | |
| 381 } | |
| 382 | |
| 383 if (info > 0) | |
| 384 { | |
| 385 (*current_liboctave_error_handler) ("zgeev failed to converge"); | |
| 386 return info; | |
| 387 } | |
| 388 | |
| 389 lambda = w; | |
| 390 v = vtmp; | |
| 391 } | |
| 392 else | |
| 393 (*current_liboctave_error_handler) ("zgeev workspace query failed"); | |
| 394 | |
| 395 return info; | |
| 396 } | |
| 397 | |
| 398 octave_idx_type | |
| 399 EIG::hermitian_init (const ComplexMatrix& a, bool calc_ev) | |
| 400 { | |
| 401 octave_idx_type n = a.rows (); | |
| 402 | |
| 403 if (n != a.cols ()) | |
| 404 { | |
| 405 (*current_liboctave_error_handler) ("EIG requires square matrix"); | |
| 406 return -1; | |
| 407 } | |
| 408 | |
| 409 octave_idx_type info = 0; | |
| 410 | |
| 411 ComplexMatrix atmp = a; | |
| 412 Complex *tmp_data = atmp.fortran_vec (); | |
| 413 | |
| 414 ColumnVector wr (n); | |
| 415 double *pwr = wr.fortran_vec (); | |
| 416 | |
| 417 octave_idx_type lwork = -1; | |
| 418 Complex dummy_work; | |
| 419 | |
| 420 octave_idx_type lrwork = 3*n; | |
| 421 Array<double> rwork (dim_vector (lrwork, 1)); | |
| 422 double *prwork = rwork.fortran_vec (); | |
| 423 | |
| 424 F77_XFCN (zheev, ZHEEV, (F77_CONST_CHAR_ARG2 (calc_ev ? "V" : "N", 1), | |
| 425 F77_CONST_CHAR_ARG2 ("U", 1), | |
| 426 n, tmp_data, n, pwr, &dummy_work, lwork, | |
| 427 prwork, info | |
| 428 F77_CHAR_ARG_LEN (1) | |
| 429 F77_CHAR_ARG_LEN (1))); | |
| 430 | |
| 431 if (info == 0) | |
| 432 { | |
| 433 lwork = static_cast<octave_idx_type> (dummy_work.real ()); | |
| 434 Array<Complex> work (dim_vector (lwork, 1)); | |
| 435 Complex *pwork = work.fortran_vec (); | |
| 436 | |
| 437 F77_XFCN (zheev, ZHEEV, (F77_CONST_CHAR_ARG2 (calc_ev ? "V" : "N", 1), | |
| 438 F77_CONST_CHAR_ARG2 ("U", 1), | |
| 439 n, tmp_data, n, pwr, pwork, lwork, prwork, info | |
| 440 F77_CHAR_ARG_LEN (1) | |
| 441 F77_CHAR_ARG_LEN (1))); | |
| 442 | |
| 443 if (info < 0) | |
| 444 { | |
| 445 (*current_liboctave_error_handler) ("unrecoverable error in zheev"); | |
| 446 return info; | |
| 447 } | |
| 448 | |
| 449 if (info > 0) | |
| 450 { | |
| 451 (*current_liboctave_error_handler) ("zheev failed to converge"); | |
| 452 return info; | |
| 453 } | |
| 454 | |
| 455 lambda = ComplexColumnVector (wr); | |
| 456 v = calc_ev ? ComplexMatrix (atmp) : ComplexMatrix (); | |
| 457 } | |
| 458 else | |
| 459 (*current_liboctave_error_handler) ("zheev workspace query failed"); | |
| 460 | |
| 461 return info; | |
| 462 } | |
| 463 | |
| 464 octave_idx_type | |
| 465 EIG::init (const Matrix& a, const Matrix& b, bool calc_ev) | |
| 466 { | |
| 467 if (a.any_element_is_inf_or_nan () || b.any_element_is_inf_or_nan ()) | |
| 468 { | |
| 469 (*current_liboctave_error_handler) | |
| 470 ("EIG: matrix contains Inf or NaN values"); | |
| 471 return -1; | |
| 472 } | |
| 473 | |
| 474 octave_idx_type n = a.rows (); | |
| 475 octave_idx_type nb = b.rows (); | |
| 476 | |
| 477 if (n != a.cols () || nb != b.cols ()) | |
| 478 { | |
| 479 (*current_liboctave_error_handler) ("EIG requires square matrix"); | |
| 480 return -1; | |
| 481 } | |
| 482 | |
| 483 if (n != nb) | |
| 484 { | |
| 485 (*current_liboctave_error_handler) ("EIG requires same size matrices"); | |
| 486 return -1; | |
| 487 } | |
| 488 | |
| 489 octave_idx_type info = 0; | |
| 490 | |
| 491 Matrix tmp = b; | |
| 492 double *tmp_data = tmp.fortran_vec (); | |
| 493 | |
| 494 F77_XFCN (dpotrf, DPOTRF, (F77_CONST_CHAR_ARG2 ("L", 1), | |
| 495 n, tmp_data, n, | |
| 496 info | |
| 497 F77_CHAR_ARG_LEN (1) | |
| 498 F77_CHAR_ARG_LEN (1))); | |
| 499 | |
| 500 if (a.is_symmetric () && b.is_symmetric () && info == 0) | |
| 501 return symmetric_init (a, b, calc_ev); | |
| 502 | |
| 503 Matrix atmp = a; | |
| 504 double *atmp_data = atmp.fortran_vec (); | |
| 505 | |
| 506 Matrix btmp = b; | |
| 507 double *btmp_data = btmp.fortran_vec (); | |
| 508 | |
| 509 Array<double> ar (dim_vector (n, 1)); | |
| 510 double *par = ar.fortran_vec (); | |
| 511 | |
| 512 Array<double> ai (dim_vector (n, 1)); | |
| 513 double *pai = ai.fortran_vec (); | |
| 514 | |
| 515 Array<double> beta (dim_vector (n, 1)); | |
| 516 double *pbeta = beta.fortran_vec (); | |
| 517 | |
| 518 octave_idx_type tnvr = calc_ev ? n : 0; | |
| 519 Matrix vr (tnvr, tnvr); | |
| 520 double *pvr = vr.fortran_vec (); | |
| 521 | |
| 522 octave_idx_type lwork = -1; | |
| 523 double dummy_work; | |
| 524 | |
| 525 double *dummy = 0; | |
| 526 octave_idx_type idummy = 1; | |
| 527 | |
| 528 F77_XFCN (dggev, DGGEV, (F77_CONST_CHAR_ARG2 ("N", 1), | |
| 529 F77_CONST_CHAR_ARG2 (calc_ev ? "V" : "N", 1), | |
| 530 n, atmp_data, n, btmp_data, n, | |
| 531 par, pai, pbeta, | |
| 532 dummy, idummy, pvr, n, | |
| 533 &dummy_work, lwork, info | |
| 534 F77_CHAR_ARG_LEN (1) | |
| 535 F77_CHAR_ARG_LEN (1))); | |
| 536 | |
| 537 if (info == 0) | |
| 538 { | |
| 539 lwork = static_cast<octave_idx_type> (dummy_work); | |
| 540 Array<double> work (dim_vector (lwork, 1)); | |
| 541 double *pwork = work.fortran_vec (); | |
| 542 | |
| 543 F77_XFCN (dggev, DGGEV, (F77_CONST_CHAR_ARG2 ("N", 1), | |
| 544 F77_CONST_CHAR_ARG2 (calc_ev ? "V" : "N", 1), | |
| 545 n, atmp_data, n, btmp_data, n, | |
| 546 par, pai, pbeta, | |
| 547 dummy, idummy, pvr, n, | |
| 548 pwork, lwork, info | |
| 549 F77_CHAR_ARG_LEN (1) | |
| 550 F77_CHAR_ARG_LEN (1))); | |
| 551 | |
| 552 if (info < 0) | |
| 553 { | |
| 554 (*current_liboctave_error_handler) ("unrecoverable error in dggev"); | |
| 555 return info; | |
| 556 } | |
| 557 | |
| 558 if (info > 0) | |
| 559 { | |
| 560 (*current_liboctave_error_handler) ("dggev failed to converge"); | |
| 561 return info; | |
| 562 } | |
| 563 | |
| 564 lambda.resize (n); | |
| 565 octave_idx_type nvr = calc_ev ? n : 0; | |
| 566 v.resize (nvr, nvr); | |
| 567 | |
| 568 for (octave_idx_type j = 0; j < n; j++) | |
| 569 { | |
| 570 if (ai.elem (j) == 0.0) | |
| 571 { | |
| 572 lambda.elem (j) = Complex (ar.elem (j) / beta.elem (j)); | |
| 573 for (octave_idx_type i = 0; i < nvr; i++) | |
| 574 v.elem (i, j) = vr.elem (i, j); | |
| 575 } | |
| 576 else | |
| 577 { | |
| 578 if (j+1 >= n) | |
| 579 { | |
| 580 (*current_liboctave_error_handler) ("EIG: internal error"); | |
| 581 return -1; | |
| 582 } | |
| 583 | |
| 584 lambda.elem (j) = Complex (ar.elem (j) / beta.elem (j), | |
| 585 ai.elem (j) / beta.elem (j)); | |
| 586 lambda.elem (j+1) = Complex (ar.elem (j+1) / beta.elem (j+1), | |
| 587 ai.elem (j+1) / beta.elem (j+1)); | |
| 588 | |
| 589 for (octave_idx_type i = 0; i < nvr; i++) | |
| 590 { | |
| 591 double real_part = vr.elem (i, j); | |
| 592 double imag_part = vr.elem (i, j+1); | |
| 593 v.elem (i, j) = Complex (real_part, imag_part); | |
| 594 v.elem (i, j+1) = Complex (real_part, -imag_part); | |
| 595 } | |
| 596 j++; | |
| 597 } | |
| 598 } | |
| 599 } | |
| 600 else | |
| 601 (*current_liboctave_error_handler) ("dggev workspace query failed"); | |
| 602 | |
| 603 return info; | |
| 604 } | |
| 605 | |
| 606 octave_idx_type | |
| 607 EIG::symmetric_init (const Matrix& a, const Matrix& b, bool calc_ev) | |
| 608 { | |
| 609 octave_idx_type n = a.rows (); | |
| 610 octave_idx_type nb = b.rows (); | |
| 611 | |
| 612 if (n != a.cols () || nb != b.cols ()) | |
| 613 { | |
| 614 (*current_liboctave_error_handler) ("EIG requires square matrix"); | |
| 615 return -1; | |
| 616 } | |
| 617 | |
| 618 if (n != nb) | |
| 619 { | |
| 620 (*current_liboctave_error_handler) ("EIG requires same size matrices"); | |
| 621 return -1; | |
| 622 } | |
| 623 | |
| 624 octave_idx_type info = 0; | |
| 625 | |
| 626 Matrix atmp = a; | |
| 627 double *atmp_data = atmp.fortran_vec (); | |
| 628 | |
| 629 Matrix btmp = b; | |
| 630 double *btmp_data = btmp.fortran_vec (); | |
| 631 | |
| 632 ColumnVector wr (n); | |
| 633 double *pwr = wr.fortran_vec (); | |
| 634 | |
| 635 octave_idx_type lwork = -1; | |
| 636 double dummy_work; | |
| 637 | |
| 638 F77_XFCN (dsygv, DSYGV, (1, F77_CONST_CHAR_ARG2 (calc_ev ? "V" : "N", 1), | |
| 639 F77_CONST_CHAR_ARG2 ("U", 1), | |
| 640 n, atmp_data, n, | |
| 641 btmp_data, n, | |
| 642 pwr, &dummy_work, lwork, info | |
| 643 F77_CHAR_ARG_LEN (1) | |
| 644 F77_CHAR_ARG_LEN (1))); | |
| 645 | |
| 646 if (info == 0) | |
| 647 { | |
| 648 lwork = static_cast<octave_idx_type> (dummy_work); | |
| 649 Array<double> work (dim_vector (lwork, 1)); | |
| 650 double *pwork = work.fortran_vec (); | |
| 651 | |
| 652 F77_XFCN (dsygv, DSYGV, (1, F77_CONST_CHAR_ARG2 (calc_ev ? "V" : "N", 1), | |
| 653 F77_CONST_CHAR_ARG2 ("U", 1), | |
| 654 n, atmp_data, n, | |
| 655 btmp_data, n, | |
| 656 pwr, pwork, lwork, info | |
| 657 F77_CHAR_ARG_LEN (1) | |
| 658 F77_CHAR_ARG_LEN (1))); | |
| 659 | |
| 660 if (info < 0) | |
| 661 { | |
| 662 (*current_liboctave_error_handler) ("unrecoverable error in dsygv"); | |
| 663 return info; | |
| 664 } | |
| 665 | |
| 666 if (info > 0) | |
| 667 { | |
| 668 (*current_liboctave_error_handler) ("dsygv failed to converge"); | |
| 669 return info; | |
| 670 } | |
| 671 | |
| 672 lambda = ComplexColumnVector (wr); | |
| 673 v = calc_ev ? ComplexMatrix (atmp) : ComplexMatrix (); | |
| 674 } | |
| 675 else | |
| 676 (*current_liboctave_error_handler) ("dsygv workspace query failed"); | |
| 677 | |
| 678 return info; | |
| 679 } | |
| 680 | |
| 681 octave_idx_type | |
| 682 EIG::init (const ComplexMatrix& a, const ComplexMatrix& b, bool calc_ev) | |
| 683 { | |
| 684 if (a.any_element_is_inf_or_nan () || b.any_element_is_inf_or_nan ()) | |
| 685 { | |
| 686 (*current_liboctave_error_handler) | |
| 687 ("EIG: matrix contains Inf or NaN values"); | |
| 688 return -1; | |
| 689 } | |
| 690 | |
| 691 octave_idx_type n = a.rows (); | |
| 692 octave_idx_type nb = b.rows (); | |
| 693 | |
| 694 if (n != a.cols () || nb != b.cols ()) | |
| 695 { | |
| 696 (*current_liboctave_error_handler) ("EIG requires square matrix"); | |
| 697 return -1; | |
| 698 } | |
| 699 | |
| 700 if (n != nb) | |
| 701 { | |
| 702 (*current_liboctave_error_handler) ("EIG requires same size matrices"); | |
| 703 return -1; | |
| 704 } | |
| 705 | |
| 706 octave_idx_type info = 0; | |
| 707 | |
| 708 ComplexMatrix tmp = b; | |
| 709 Complex*tmp_data = tmp.fortran_vec (); | |
| 710 | |
| 711 F77_XFCN (zpotrf, ZPOTRF, (F77_CONST_CHAR_ARG2 ("L", 1), | |
| 712 n, tmp_data, n, | |
| 713 info | |
| 714 F77_CHAR_ARG_LEN (1) | |
| 715 F77_CHAR_ARG_LEN (1))); | |
| 716 | |
| 717 if (a.is_hermitian () && b.is_hermitian () && info == 0) | |
| 718 return hermitian_init (a, calc_ev); | |
| 719 | |
| 720 ComplexMatrix atmp = a; | |
| 721 Complex *atmp_data = atmp.fortran_vec (); | |
| 722 | |
| 723 ComplexMatrix btmp = b; | |
| 724 Complex *btmp_data = btmp.fortran_vec (); | |
| 725 | |
| 726 ComplexColumnVector alpha (n); | |
| 727 Complex *palpha = alpha.fortran_vec (); | |
| 728 | |
| 729 ComplexColumnVector beta (n); | |
| 730 Complex *pbeta = beta.fortran_vec (); | |
| 731 | |
| 732 octave_idx_type nvr = calc_ev ? n : 0; | |
| 733 ComplexMatrix vtmp (nvr, nvr); | |
| 734 Complex *pv = vtmp.fortran_vec (); | |
| 735 | |
| 736 octave_idx_type lwork = -1; | |
| 737 Complex dummy_work; | |
| 738 | |
| 739 octave_idx_type lrwork = 8*n; | |
| 740 Array<double> rwork (dim_vector (lrwork, 1)); | |
| 741 double *prwork = rwork.fortran_vec (); | |
| 742 | |
| 743 Complex *dummy = 0; | |
| 744 octave_idx_type idummy = 1; | |
| 745 | |
| 746 F77_XFCN (zggev, ZGGEV, (F77_CONST_CHAR_ARG2 ("N", 1), | |
| 747 F77_CONST_CHAR_ARG2 (calc_ev ? "V" : "N", 1), | |
| 748 n, atmp_data, n, btmp_data, n, | |
| 749 palpha, pbeta, dummy, idummy, | |
| 750 pv, n, &dummy_work, lwork, prwork, info | |
| 751 F77_CHAR_ARG_LEN (1) | |
| 752 F77_CHAR_ARG_LEN (1))); | |
| 753 | |
| 754 if (info == 0) | |
| 755 { | |
| 756 lwork = static_cast<octave_idx_type> (dummy_work.real ()); | |
| 757 Array<Complex> work (dim_vector (lwork, 1)); | |
| 758 Complex *pwork = work.fortran_vec (); | |
| 759 | |
| 760 F77_XFCN (zggev, ZGGEV, (F77_CONST_CHAR_ARG2 ("N", 1), | |
| 761 F77_CONST_CHAR_ARG2 (calc_ev ? "V" : "N", 1), | |
| 762 n, atmp_data, n, btmp_data, n, | |
| 763 palpha, pbeta, dummy, idummy, | |
| 764 pv, n, pwork, lwork, prwork, info | |
| 765 F77_CHAR_ARG_LEN (1) | |
| 766 F77_CHAR_ARG_LEN (1))); | |
| 767 | |
| 768 if (info < 0) | |
| 769 { | |
| 770 (*current_liboctave_error_handler) ("unrecoverable error in zggev"); | |
| 771 return info; | |
| 772 } | |
| 773 | |
| 774 if (info > 0) | |
| 775 { | |
| 776 (*current_liboctave_error_handler) ("zggev failed to converge"); | |
| 777 return info; | |
| 778 } | |
| 779 | |
| 780 lambda.resize (n); | |
| 781 | |
| 782 for (octave_idx_type j = 0; j < n; j++) | |
| 783 lambda.elem (j) = alpha.elem (j) / beta.elem (j); | |
| 784 | |
| 785 v = vtmp; | |
| 786 } | |
| 787 else | |
| 788 (*current_liboctave_error_handler) ("zggev workspace query failed"); | |
| 789 | |
| 790 return info; | |
| 791 } | |
| 792 | |
| 793 octave_idx_type | |
| 794 EIG::hermitian_init (const ComplexMatrix& a, const ComplexMatrix& b, bool calc_ev) | |
| 795 { | |
| 796 octave_idx_type n = a.rows (); | |
| 797 octave_idx_type nb = b.rows (); | |
| 798 | |
| 799 if (n != a.cols () || nb != b.cols ()) | |
| 800 { | |
| 801 (*current_liboctave_error_handler) ("EIG requires square matrix"); | |
| 802 return -1; | |
| 803 } | |
| 804 | |
| 805 if (n != nb) | |
| 806 { | |
| 807 (*current_liboctave_error_handler) ("EIG requires same size matrices"); | |
| 808 return -1; | |
| 809 } | |
| 810 | |
| 811 octave_idx_type info = 0; | |
| 812 | |
| 813 ComplexMatrix atmp = a; | |
| 814 Complex *atmp_data = atmp.fortran_vec (); | |
| 815 | |
| 816 ComplexMatrix btmp = b; | |
| 817 Complex *btmp_data = btmp.fortran_vec (); | |
| 818 | |
| 819 ColumnVector wr (n); | |
| 820 double *pwr = wr.fortran_vec (); | |
| 821 | |
| 822 octave_idx_type lwork = -1; | |
| 823 Complex dummy_work; | |
| 824 | |
| 825 octave_idx_type lrwork = 3*n; | |
| 826 Array<double> rwork (dim_vector (lrwork, 1)); | |
| 827 double *prwork = rwork.fortran_vec (); | |
| 828 | |
| 829 F77_XFCN (zhegv, ZHEGV, (1, F77_CONST_CHAR_ARG2 (calc_ev ? "V" : "N", 1), | |
| 830 F77_CONST_CHAR_ARG2 ("U", 1), | |
| 831 n, atmp_data, n, | |
| 832 btmp_data, n, | |
| 833 pwr, &dummy_work, lwork, | |
| 834 prwork, info | |
| 835 F77_CHAR_ARG_LEN (1) | |
| 836 F77_CHAR_ARG_LEN (1))); | |
| 837 | |
| 838 if (info == 0) | |
| 839 { | |
| 840 lwork = static_cast<octave_idx_type> (dummy_work.real ()); | |
| 841 Array<Complex> work (dim_vector (lwork, 1)); | |
| 842 Complex *pwork = work.fortran_vec (); | |
| 843 | |
| 844 F77_XFCN (zhegv, ZHEGV, (1, F77_CONST_CHAR_ARG2 (calc_ev ? "V" : "N", 1), | |
| 845 F77_CONST_CHAR_ARG2 ("U", 1), | |
| 846 n, atmp_data, n, | |
| 847 btmp_data, n, | |
| 848 pwr, pwork, lwork, prwork, info | |
| 849 F77_CHAR_ARG_LEN (1) | |
| 850 F77_CHAR_ARG_LEN (1))); | |
| 851 | |
| 852 if (info < 0) | |
| 853 { | |
| 854 (*current_liboctave_error_handler) ("unrecoverable error in zhegv"); | |
| 855 return info; | |
| 856 } | |
| 857 | |
| 858 if (info > 0) | |
| 859 { | |
| 860 (*current_liboctave_error_handler) ("zhegv failed to converge"); | |
| 861 return info; | |
| 862 } | |
| 863 | |
| 864 lambda = ComplexColumnVector (wr); | |
| 865 v = calc_ev ? ComplexMatrix (atmp) : ComplexMatrix (); | |
| 866 } | |
| 867 else | |
| 868 (*current_liboctave_error_handler) ("zhegv workspace query failed"); | |
| 869 | |
| 870 return info; | |
| 871 } |