Mercurial > hg > octave-nkf
comparison liboctave/array/fCMatrix.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/fCMatrix.cc@61822c866ba1 |
| children | 2137f5638521 |
comparison
equal
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| 15270:6615a46d90ec | 15271:648dabbb4c6b |
|---|---|
| 1 // Matrix manipulations. | |
| 2 /* | |
| 3 | |
| 4 Copyright (C) 1994-2012 John W. Eaton | |
| 5 Copyright (C) 2008-2009 Jaroslav Hajek | |
| 6 Copyright (C) 2009 VZLU Prague, a.s. | |
| 7 | |
| 8 This file is part of Octave. | |
| 9 | |
| 10 Octave is free software; you can redistribute it and/or modify it | |
| 11 under the terms of the GNU General Public License as published by the | |
| 12 Free Software Foundation; either version 3 of the License, or (at your | |
| 13 option) any later version. | |
| 14 | |
| 15 Octave is distributed in the hope that it will be useful, but WITHOUT | |
| 16 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or | |
| 17 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License | |
| 18 for more details. | |
| 19 | |
| 20 You should have received a copy of the GNU General Public License | |
| 21 along with Octave; see the file COPYING. If not, see | |
| 22 <http://www.gnu.org/licenses/>. | |
| 23 | |
| 24 */ | |
| 25 | |
| 26 #ifdef HAVE_CONFIG_H | |
| 27 #include <config.h> | |
| 28 #endif | |
| 29 | |
| 30 #include <cfloat> | |
| 31 | |
| 32 #include <iostream> | |
| 33 #include <vector> | |
| 34 | |
| 35 // FIXME | |
| 36 #include <sys/types.h> | |
| 37 | |
| 38 #include "Array-util.h" | |
| 39 #include "DET.h" | |
| 40 #include "f77-fcn.h" | |
| 41 #include "fCMatrix.h" | |
| 42 #include "fCmplxCHOL.h" | |
| 43 #include "fCmplxSCHUR.h" | |
| 44 #include "fCmplxSVD.h" | |
| 45 #include "functor.h" | |
| 46 #include "lo-error.h" | |
| 47 #include "lo-ieee.h" | |
| 48 #include "lo-mappers.h" | |
| 49 #include "lo-utils.h" | |
| 50 #include "mx-base.h" | |
| 51 #include "mx-fcm-fdm.h" | |
| 52 #include "mx-fcm-fs.h" | |
| 53 #include "mx-fdm-fcm.h" | |
| 54 #include "mx-inlines.cc" | |
| 55 #include "mx-op-defs.h" | |
| 56 #include "oct-cmplx.h" | |
| 57 #include "oct-fftw.h" | |
| 58 #include "oct-locbuf.h" | |
| 59 #include "oct-norm.h" | |
| 60 | |
| 61 // Fortran functions we call. | |
| 62 | |
| 63 extern "C" | |
| 64 { | |
| 65 F77_RET_T | |
| 66 F77_FUNC (xilaenv, XILAENV) (const octave_idx_type&, | |
| 67 F77_CONST_CHAR_ARG_DECL, | |
| 68 F77_CONST_CHAR_ARG_DECL, | |
| 69 const octave_idx_type&, const octave_idx_type&, | |
| 70 const octave_idx_type&, const octave_idx_type&, | |
| 71 octave_idx_type& | |
| 72 F77_CHAR_ARG_LEN_DECL | |
| 73 F77_CHAR_ARG_LEN_DECL); | |
| 74 | |
| 75 F77_RET_T | |
| 76 F77_FUNC (cgebal, CGEBAL) (F77_CONST_CHAR_ARG_DECL, | |
| 77 const octave_idx_type&, FloatComplex*, | |
| 78 const octave_idx_type&, octave_idx_type&, | |
| 79 octave_idx_type&, float*, octave_idx_type& | |
| 80 F77_CHAR_ARG_LEN_DECL); | |
| 81 | |
| 82 F77_RET_T | |
| 83 F77_FUNC (sgebak, SGEBAK) (F77_CONST_CHAR_ARG_DECL, | |
| 84 F77_CONST_CHAR_ARG_DECL, | |
| 85 const octave_idx_type&, const octave_idx_type&, | |
| 86 const octave_idx_type&, float*, | |
| 87 const octave_idx_type&, float*, | |
| 88 const octave_idx_type&, octave_idx_type& | |
| 89 F77_CHAR_ARG_LEN_DECL | |
| 90 F77_CHAR_ARG_LEN_DECL); | |
| 91 | |
| 92 F77_RET_T | |
| 93 F77_FUNC (cgemm, CGEMM) (F77_CONST_CHAR_ARG_DECL, | |
| 94 F77_CONST_CHAR_ARG_DECL, | |
| 95 const octave_idx_type&, const octave_idx_type&, | |
| 96 const octave_idx_type&, const FloatComplex&, | |
| 97 const FloatComplex*, const octave_idx_type&, | |
| 98 const FloatComplex*, const octave_idx_type&, | |
| 99 const FloatComplex&, FloatComplex*, | |
| 100 const octave_idx_type& | |
| 101 F77_CHAR_ARG_LEN_DECL | |
| 102 F77_CHAR_ARG_LEN_DECL); | |
| 103 | |
| 104 F77_RET_T | |
| 105 F77_FUNC (cgemv, CGEMV) (F77_CONST_CHAR_ARG_DECL, | |
| 106 const octave_idx_type&, const octave_idx_type&, | |
| 107 const FloatComplex&, const FloatComplex*, | |
| 108 const octave_idx_type&, const FloatComplex*, | |
| 109 const octave_idx_type&, const FloatComplex&, | |
| 110 FloatComplex*, const octave_idx_type& | |
| 111 F77_CHAR_ARG_LEN_DECL); | |
| 112 | |
| 113 F77_RET_T | |
| 114 F77_FUNC (xcdotu, XCDOTU) (const octave_idx_type&, const FloatComplex*, | |
| 115 const octave_idx_type&, const FloatComplex*, | |
| 116 const octave_idx_type&, FloatComplex&); | |
| 117 | |
| 118 F77_RET_T | |
| 119 F77_FUNC (xcdotc, XCDOTC) (const octave_idx_type&, const FloatComplex*, | |
| 120 const octave_idx_type&, const FloatComplex*, | |
| 121 const octave_idx_type&, FloatComplex&); | |
| 122 | |
| 123 F77_RET_T | |
| 124 F77_FUNC (csyrk, CSYRK) (F77_CONST_CHAR_ARG_DECL, | |
| 125 F77_CONST_CHAR_ARG_DECL, | |
| 126 const octave_idx_type&, const octave_idx_type&, | |
| 127 const FloatComplex&, const FloatComplex*, | |
| 128 const octave_idx_type&, const FloatComplex&, | |
| 129 FloatComplex*, const octave_idx_type& | |
| 130 F77_CHAR_ARG_LEN_DECL | |
| 131 F77_CHAR_ARG_LEN_DECL); | |
| 132 | |
| 133 F77_RET_T | |
| 134 F77_FUNC (cherk, CHERK) (F77_CONST_CHAR_ARG_DECL, | |
| 135 F77_CONST_CHAR_ARG_DECL, | |
| 136 const octave_idx_type&, const octave_idx_type&, | |
| 137 const float&, const FloatComplex*, | |
| 138 const octave_idx_type&, const float&, | |
| 139 FloatComplex*, const octave_idx_type& | |
| 140 F77_CHAR_ARG_LEN_DECL | |
| 141 F77_CHAR_ARG_LEN_DECL); | |
| 142 | |
| 143 F77_RET_T | |
| 144 F77_FUNC (cgetrf, CGETRF) (const octave_idx_type&, const octave_idx_type&, | |
| 145 FloatComplex*, const octave_idx_type&, | |
| 146 octave_idx_type*, octave_idx_type&); | |
| 147 | |
| 148 F77_RET_T | |
| 149 F77_FUNC (cgetrs, CGETRS) (F77_CONST_CHAR_ARG_DECL, | |
| 150 const octave_idx_type&, const octave_idx_type&, | |
| 151 FloatComplex*, const octave_idx_type&, | |
| 152 const octave_idx_type*, FloatComplex*, | |
| 153 const octave_idx_type&, octave_idx_type& | |
| 154 F77_CHAR_ARG_LEN_DECL); | |
| 155 | |
| 156 F77_RET_T | |
| 157 F77_FUNC (cgetri, CGETRI) (const octave_idx_type&, FloatComplex*, | |
| 158 const octave_idx_type&, const octave_idx_type*, | |
| 159 FloatComplex*, const octave_idx_type&, | |
| 160 octave_idx_type&); | |
| 161 | |
| 162 F77_RET_T | |
| 163 F77_FUNC (cgecon, CGECON) (F77_CONST_CHAR_ARG_DECL, | |
| 164 const octave_idx_type&, FloatComplex*, | |
| 165 const octave_idx_type&, const float&, float&, | |
| 166 FloatComplex*, float*, octave_idx_type& | |
| 167 F77_CHAR_ARG_LEN_DECL); | |
| 168 | |
| 169 F77_RET_T | |
| 170 F77_FUNC (cgelsy, CGELSY) (const octave_idx_type&, const octave_idx_type&, | |
| 171 const octave_idx_type&, FloatComplex*, | |
| 172 const octave_idx_type&, FloatComplex*, | |
| 173 const octave_idx_type&, octave_idx_type*, | |
| 174 float&, octave_idx_type&, FloatComplex*, | |
| 175 const octave_idx_type&, float*, octave_idx_type&); | |
| 176 | |
| 177 F77_RET_T | |
| 178 F77_FUNC (cgelsd, CGELSD) (const octave_idx_type&, const octave_idx_type&, | |
| 179 const octave_idx_type&, FloatComplex*, | |
| 180 const octave_idx_type&, FloatComplex*, | |
| 181 const octave_idx_type&, float*, float&, | |
| 182 octave_idx_type&, FloatComplex*, | |
| 183 const octave_idx_type&, float*, | |
| 184 octave_idx_type*, octave_idx_type&); | |
| 185 | |
| 186 F77_RET_T | |
| 187 F77_FUNC (cpotrf, CPOTRF) (F77_CONST_CHAR_ARG_DECL, | |
| 188 const octave_idx_type&, FloatComplex*, | |
| 189 const octave_idx_type&, octave_idx_type& | |
| 190 F77_CHAR_ARG_LEN_DECL); | |
| 191 | |
| 192 F77_RET_T | |
| 193 F77_FUNC (cpocon, CPOCON) (F77_CONST_CHAR_ARG_DECL, | |
| 194 const octave_idx_type&, FloatComplex*, | |
| 195 const octave_idx_type&, const float&, float&, | |
| 196 FloatComplex*, float*, octave_idx_type& | |
| 197 F77_CHAR_ARG_LEN_DECL); | |
| 198 | |
| 199 F77_RET_T | |
| 200 F77_FUNC (cpotrs, CPOTRS) (F77_CONST_CHAR_ARG_DECL, | |
| 201 const octave_idx_type&, | |
| 202 const octave_idx_type&, const FloatComplex*, | |
| 203 const octave_idx_type&, FloatComplex*, | |
| 204 const octave_idx_type&, octave_idx_type& | |
| 205 F77_CHAR_ARG_LEN_DECL); | |
| 206 | |
| 207 F77_RET_T | |
| 208 F77_FUNC (ctrtri, CTRTRI) (F77_CONST_CHAR_ARG_DECL, | |
| 209 F77_CONST_CHAR_ARG_DECL, | |
| 210 const octave_idx_type&, const FloatComplex*, | |
| 211 const octave_idx_type&, octave_idx_type& | |
| 212 F77_CHAR_ARG_LEN_DECL | |
| 213 F77_CHAR_ARG_LEN_DECL); | |
| 214 | |
| 215 F77_RET_T | |
| 216 F77_FUNC (ctrcon, CTRCON) (F77_CONST_CHAR_ARG_DECL, | |
| 217 F77_CONST_CHAR_ARG_DECL, | |
| 218 F77_CONST_CHAR_ARG_DECL, | |
| 219 const octave_idx_type&, const FloatComplex*, | |
| 220 const octave_idx_type&, float&, FloatComplex*, | |
| 221 float*, octave_idx_type& | |
| 222 F77_CHAR_ARG_LEN_DECL | |
| 223 F77_CHAR_ARG_LEN_DECL | |
| 224 F77_CHAR_ARG_LEN_DECL); | |
| 225 | |
| 226 F77_RET_T | |
| 227 F77_FUNC (ctrtrs, CTRTRS) (F77_CONST_CHAR_ARG_DECL, | |
| 228 F77_CONST_CHAR_ARG_DECL, | |
| 229 F77_CONST_CHAR_ARG_DECL, | |
| 230 const octave_idx_type&, const octave_idx_type&, | |
| 231 const FloatComplex*, const octave_idx_type&, | |
| 232 FloatComplex*, const octave_idx_type&, | |
| 233 octave_idx_type& | |
| 234 F77_CHAR_ARG_LEN_DECL | |
| 235 F77_CHAR_ARG_LEN_DECL | |
| 236 F77_CHAR_ARG_LEN_DECL); | |
| 237 | |
| 238 F77_RET_T | |
| 239 F77_FUNC (clartg, CLARTG) (const FloatComplex&, const FloatComplex&, | |
| 240 float&, FloatComplex&, FloatComplex&); | |
| 241 | |
| 242 F77_RET_T | |
| 243 F77_FUNC (ctrsyl, CTRSYL) (F77_CONST_CHAR_ARG_DECL, | |
| 244 F77_CONST_CHAR_ARG_DECL, | |
| 245 const octave_idx_type&, const octave_idx_type&, | |
| 246 const octave_idx_type&, const FloatComplex*, | |
| 247 const octave_idx_type&, const FloatComplex*, | |
| 248 const octave_idx_type&, const FloatComplex*, | |
| 249 const octave_idx_type&, float&, octave_idx_type& | |
| 250 F77_CHAR_ARG_LEN_DECL | |
| 251 F77_CHAR_ARG_LEN_DECL); | |
| 252 | |
| 253 F77_RET_T | |
| 254 F77_FUNC (xclange, XCLANGE) (F77_CONST_CHAR_ARG_DECL, | |
| 255 const octave_idx_type&, const octave_idx_type&, | |
| 256 const FloatComplex*, const octave_idx_type&, | |
| 257 float*, float& | |
| 258 F77_CHAR_ARG_LEN_DECL); | |
| 259 } | |
| 260 | |
| 261 static const FloatComplex FloatComplex_NaN_result (octave_Float_NaN, octave_Float_NaN); | |
| 262 | |
| 263 // FloatComplex Matrix class | |
| 264 | |
| 265 FloatComplexMatrix::FloatComplexMatrix (const FloatMatrix& a) | |
| 266 : MArray<FloatComplex> (a) | |
| 267 { | |
| 268 } | |
| 269 | |
| 270 FloatComplexMatrix::FloatComplexMatrix (const FloatRowVector& rv) | |
| 271 : MArray<FloatComplex> (rv) | |
| 272 { | |
| 273 } | |
| 274 | |
| 275 FloatComplexMatrix::FloatComplexMatrix (const FloatColumnVector& cv) | |
| 276 : MArray<FloatComplex> (cv) | |
| 277 { | |
| 278 } | |
| 279 | |
| 280 FloatComplexMatrix::FloatComplexMatrix (const FloatDiagMatrix& a) | |
| 281 : MArray<FloatComplex> (a.dims (), 0.0) | |
| 282 { | |
| 283 for (octave_idx_type i = 0; i < a.length (); i++) | |
| 284 elem (i, i) = a.elem (i, i); | |
| 285 } | |
| 286 | |
| 287 FloatComplexMatrix::FloatComplexMatrix (const FloatComplexRowVector& rv) | |
| 288 : MArray<FloatComplex> (rv) | |
| 289 { | |
| 290 } | |
| 291 | |
| 292 FloatComplexMatrix::FloatComplexMatrix (const FloatComplexColumnVector& cv) | |
| 293 : MArray<FloatComplex> (cv) | |
| 294 { | |
| 295 } | |
| 296 | |
| 297 FloatComplexMatrix::FloatComplexMatrix (const FloatComplexDiagMatrix& a) | |
| 298 : MArray<FloatComplex> (a.dims (), 0.0) | |
| 299 { | |
| 300 for (octave_idx_type i = 0; i < a.length (); i++) | |
| 301 elem (i, i) = a.elem (i, i); | |
| 302 } | |
| 303 | |
| 304 // FIXME -- could we use a templated mixed-type copy function | |
| 305 // here? | |
| 306 | |
| 307 FloatComplexMatrix::FloatComplexMatrix (const boolMatrix& a) | |
| 308 : MArray<FloatComplex> (a) | |
| 309 { | |
| 310 } | |
| 311 | |
| 312 FloatComplexMatrix::FloatComplexMatrix (const charMatrix& a) | |
| 313 : MArray<FloatComplex> (a.dims (), 0.0) | |
| 314 { | |
| 315 for (octave_idx_type i = 0; i < a.rows (); i++) | |
| 316 for (octave_idx_type j = 0; j < a.cols (); j++) | |
| 317 elem (i, j) = static_cast<unsigned char> (a.elem (i, j)); | |
| 318 } | |
| 319 | |
| 320 FloatComplexMatrix::FloatComplexMatrix (const FloatMatrix& re, | |
| 321 const FloatMatrix& im) | |
| 322 : MArray<FloatComplex> (re.dims ()) | |
| 323 { | |
| 324 if (im.rows () != rows () || im.cols () != cols ()) | |
| 325 (*current_liboctave_error_handler) ("complex: internal error"); | |
| 326 | |
| 327 octave_idx_type nel = numel (); | |
| 328 for (octave_idx_type i = 0; i < nel; i++) | |
| 329 xelem (i) = FloatComplex (re(i), im(i)); | |
| 330 } | |
| 331 | |
| 332 bool | |
| 333 FloatComplexMatrix::operator == (const FloatComplexMatrix& a) const | |
| 334 { | |
| 335 if (rows () != a.rows () || cols () != a.cols ()) | |
| 336 return false; | |
| 337 | |
| 338 return mx_inline_equal (length (), data (), a.data ()); | |
| 339 } | |
| 340 | |
| 341 bool | |
| 342 FloatComplexMatrix::operator != (const FloatComplexMatrix& a) const | |
| 343 { | |
| 344 return !(*this == a); | |
| 345 } | |
| 346 | |
| 347 bool | |
| 348 FloatComplexMatrix::is_hermitian (void) const | |
| 349 { | |
| 350 octave_idx_type nr = rows (); | |
| 351 octave_idx_type nc = cols (); | |
| 352 | |
| 353 if (is_square () && nr > 0) | |
| 354 { | |
| 355 for (octave_idx_type i = 0; i < nr; i++) | |
| 356 for (octave_idx_type j = i; j < nc; j++) | |
| 357 if (elem (i, j) != conj (elem (j, i))) | |
| 358 return false; | |
| 359 | |
| 360 return true; | |
| 361 } | |
| 362 | |
| 363 return false; | |
| 364 } | |
| 365 | |
| 366 // destructive insert/delete/reorder operations | |
| 367 | |
| 368 FloatComplexMatrix& | |
| 369 FloatComplexMatrix::insert (const FloatMatrix& a, octave_idx_type r, octave_idx_type c) | |
| 370 { | |
| 371 octave_idx_type a_nr = a.rows (); | |
| 372 octave_idx_type a_nc = a.cols (); | |
| 373 | |
| 374 if (r < 0 || r + a_nr > rows () || c < 0 || c + a_nc > cols ()) | |
| 375 { | |
| 376 (*current_liboctave_error_handler) ("range error for insert"); | |
| 377 return *this; | |
| 378 } | |
| 379 | |
| 380 if (a_nr >0 && a_nc > 0) | |
| 381 { | |
| 382 make_unique (); | |
| 383 | |
| 384 for (octave_idx_type j = 0; j < a_nc; j++) | |
| 385 for (octave_idx_type i = 0; i < a_nr; i++) | |
| 386 xelem (r+i, c+j) = a.elem (i, j); | |
| 387 } | |
| 388 | |
| 389 return *this; | |
| 390 } | |
| 391 | |
| 392 FloatComplexMatrix& | |
| 393 FloatComplexMatrix::insert (const FloatRowVector& a, octave_idx_type r, octave_idx_type c) | |
| 394 { | |
| 395 octave_idx_type a_len = a.length (); | |
| 396 | |
| 397 if (r < 0 || r >= rows () || c < 0 || c + a_len > cols ()) | |
| 398 { | |
| 399 (*current_liboctave_error_handler) ("range error for insert"); | |
| 400 return *this; | |
| 401 } | |
| 402 | |
| 403 if (a_len > 0) | |
| 404 { | |
| 405 make_unique (); | |
| 406 | |
| 407 for (octave_idx_type i = 0; i < a_len; i++) | |
| 408 xelem (r, c+i) = a.elem (i); | |
| 409 } | |
| 410 | |
| 411 return *this; | |
| 412 } | |
| 413 | |
| 414 FloatComplexMatrix& | |
| 415 FloatComplexMatrix::insert (const FloatColumnVector& a, octave_idx_type r, octave_idx_type c) | |
| 416 { | |
| 417 octave_idx_type a_len = a.length (); | |
| 418 | |
| 419 if (r < 0 || r + a_len > rows () || c < 0 || c >= cols ()) | |
| 420 { | |
| 421 (*current_liboctave_error_handler) ("range error for insert"); | |
| 422 return *this; | |
| 423 } | |
| 424 | |
| 425 if (a_len > 0) | |
| 426 { | |
| 427 make_unique (); | |
| 428 | |
| 429 for (octave_idx_type i = 0; i < a_len; i++) | |
| 430 xelem (r+i, c) = a.elem (i); | |
| 431 } | |
| 432 | |
| 433 return *this; | |
| 434 } | |
| 435 | |
| 436 FloatComplexMatrix& | |
| 437 FloatComplexMatrix::insert (const FloatDiagMatrix& a, octave_idx_type r, octave_idx_type c) | |
| 438 { | |
| 439 octave_idx_type a_nr = a.rows (); | |
| 440 octave_idx_type a_nc = a.cols (); | |
| 441 | |
| 442 if (r < 0 || r + a_nr > rows () || c < 0 || c + a_nc > cols ()) | |
| 443 { | |
| 444 (*current_liboctave_error_handler) ("range error for insert"); | |
| 445 return *this; | |
| 446 } | |
| 447 | |
| 448 fill (0.0, r, c, r + a_nr - 1, c + a_nc - 1); | |
| 449 | |
| 450 octave_idx_type a_len = a.length (); | |
| 451 | |
| 452 if (a_len > 0) | |
| 453 { | |
| 454 make_unique (); | |
| 455 | |
| 456 for (octave_idx_type i = 0; i < a_len; i++) | |
| 457 xelem (r+i, c+i) = a.elem (i, i); | |
| 458 } | |
| 459 | |
| 460 return *this; | |
| 461 } | |
| 462 | |
| 463 FloatComplexMatrix& | |
| 464 FloatComplexMatrix::insert (const FloatComplexMatrix& a, octave_idx_type r, octave_idx_type c) | |
| 465 { | |
| 466 Array<FloatComplex>::insert (a, r, c); | |
| 467 return *this; | |
| 468 } | |
| 469 | |
| 470 FloatComplexMatrix& | |
| 471 FloatComplexMatrix::insert (const FloatComplexRowVector& a, octave_idx_type r, octave_idx_type c) | |
| 472 { | |
| 473 octave_idx_type a_len = a.length (); | |
| 474 if (r < 0 || r >= rows () || c < 0 || c + a_len > cols ()) | |
| 475 { | |
| 476 (*current_liboctave_error_handler) ("range error for insert"); | |
| 477 return *this; | |
| 478 } | |
| 479 | |
| 480 for (octave_idx_type i = 0; i < a_len; i++) | |
| 481 elem (r, c+i) = a.elem (i); | |
| 482 | |
| 483 return *this; | |
| 484 } | |
| 485 | |
| 486 FloatComplexMatrix& | |
| 487 FloatComplexMatrix::insert (const FloatComplexColumnVector& a, octave_idx_type r, octave_idx_type c) | |
| 488 { | |
| 489 octave_idx_type a_len = a.length (); | |
| 490 | |
| 491 if (r < 0 || r + a_len > rows () || c < 0 || c >= cols ()) | |
| 492 { | |
| 493 (*current_liboctave_error_handler) ("range error for insert"); | |
| 494 return *this; | |
| 495 } | |
| 496 | |
| 497 if (a_len > 0) | |
| 498 { | |
| 499 make_unique (); | |
| 500 | |
| 501 for (octave_idx_type i = 0; i < a_len; i++) | |
| 502 xelem (r+i, c) = a.elem (i); | |
| 503 } | |
| 504 | |
| 505 return *this; | |
| 506 } | |
| 507 | |
| 508 FloatComplexMatrix& | |
| 509 FloatComplexMatrix::insert (const FloatComplexDiagMatrix& a, octave_idx_type r, octave_idx_type c) | |
| 510 { | |
| 511 octave_idx_type a_nr = a.rows (); | |
| 512 octave_idx_type a_nc = a.cols (); | |
| 513 | |
| 514 if (r < 0 || r + a_nr > rows () || c < 0 || c + a_nc > cols ()) | |
| 515 { | |
| 516 (*current_liboctave_error_handler) ("range error for insert"); | |
| 517 return *this; | |
| 518 } | |
| 519 | |
| 520 fill (0.0, r, c, r + a_nr - 1, c + a_nc - 1); | |
| 521 | |
| 522 octave_idx_type a_len = a.length (); | |
| 523 | |
| 524 if (a_len > 0) | |
| 525 { | |
| 526 make_unique (); | |
| 527 | |
| 528 for (octave_idx_type i = 0; i < a_len; i++) | |
| 529 xelem (r+i, c+i) = a.elem (i, i); | |
| 530 } | |
| 531 | |
| 532 return *this; | |
| 533 } | |
| 534 | |
| 535 FloatComplexMatrix& | |
| 536 FloatComplexMatrix::fill (float val) | |
| 537 { | |
| 538 octave_idx_type nr = rows (); | |
| 539 octave_idx_type nc = cols (); | |
| 540 | |
| 541 if (nr > 0 && nc > 0) | |
| 542 { | |
| 543 make_unique (); | |
| 544 | |
| 545 for (octave_idx_type j = 0; j < nc; j++) | |
| 546 for (octave_idx_type i = 0; i < nr; i++) | |
| 547 xelem (i, j) = val; | |
| 548 } | |
| 549 | |
| 550 return *this; | |
| 551 } | |
| 552 | |
| 553 FloatComplexMatrix& | |
| 554 FloatComplexMatrix::fill (const FloatComplex& val) | |
| 555 { | |
| 556 octave_idx_type nr = rows (); | |
| 557 octave_idx_type nc = cols (); | |
| 558 | |
| 559 if (nr > 0 && nc > 0) | |
| 560 { | |
| 561 make_unique (); | |
| 562 | |
| 563 for (octave_idx_type j = 0; j < nc; j++) | |
| 564 for (octave_idx_type i = 0; i < nr; i++) | |
| 565 xelem (i, j) = val; | |
| 566 } | |
| 567 | |
| 568 return *this; | |
| 569 } | |
| 570 | |
| 571 FloatComplexMatrix& | |
| 572 FloatComplexMatrix::fill (float val, octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) | |
| 573 { | |
| 574 octave_idx_type nr = rows (); | |
| 575 octave_idx_type nc = cols (); | |
| 576 | |
| 577 if (r1 < 0 || r2 < 0 || c1 < 0 || c2 < 0 | |
| 578 || r1 >= nr || r2 >= nr || c1 >= nc || c2 >= nc) | |
| 579 { | |
| 580 (*current_liboctave_error_handler) ("range error for fill"); | |
| 581 return *this; | |
| 582 } | |
| 583 | |
| 584 if (r1 > r2) { octave_idx_type tmp = r1; r1 = r2; r2 = tmp; } | |
| 585 if (c1 > c2) { octave_idx_type tmp = c1; c1 = c2; c2 = tmp; } | |
| 586 | |
| 587 if (r2 >= r1 && c2 >= c1) | |
| 588 { | |
| 589 make_unique (); | |
| 590 | |
| 591 for (octave_idx_type j = c1; j <= c2; j++) | |
| 592 for (octave_idx_type i = r1; i <= r2; i++) | |
| 593 xelem (i, j) = val; | |
| 594 } | |
| 595 | |
| 596 return *this; | |
| 597 } | |
| 598 | |
| 599 FloatComplexMatrix& | |
| 600 FloatComplexMatrix::fill (const FloatComplex& val, octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) | |
| 601 { | |
| 602 octave_idx_type nr = rows (); | |
| 603 octave_idx_type nc = cols (); | |
| 604 | |
| 605 if (r1 < 0 || r2 < 0 || c1 < 0 || c2 < 0 | |
| 606 || r1 >= nr || r2 >= nr || c1 >= nc || c2 >= nc) | |
| 607 { | |
| 608 (*current_liboctave_error_handler) ("range error for fill"); | |
| 609 return *this; | |
| 610 } | |
| 611 | |
| 612 if (r1 > r2) { octave_idx_type tmp = r1; r1 = r2; r2 = tmp; } | |
| 613 if (c1 > c2) { octave_idx_type tmp = c1; c1 = c2; c2 = tmp; } | |
| 614 | |
| 615 if (r2 >= r1 && c2 >=c1) | |
| 616 { | |
| 617 make_unique (); | |
| 618 | |
| 619 for (octave_idx_type j = c1; j <= c2; j++) | |
| 620 for (octave_idx_type i = r1; i <= r2; i++) | |
| 621 xelem (i, j) = val; | |
| 622 } | |
| 623 | |
| 624 return *this; | |
| 625 } | |
| 626 | |
| 627 FloatComplexMatrix | |
| 628 FloatComplexMatrix::append (const FloatMatrix& a) const | |
| 629 { | |
| 630 octave_idx_type nr = rows (); | |
| 631 octave_idx_type nc = cols (); | |
| 632 if (nr != a.rows ()) | |
| 633 { | |
| 634 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 635 return *this; | |
| 636 } | |
| 637 | |
| 638 octave_idx_type nc_insert = nc; | |
| 639 FloatComplexMatrix retval (nr, nc + a.cols ()); | |
| 640 retval.insert (*this, 0, 0); | |
| 641 retval.insert (a, 0, nc_insert); | |
| 642 return retval; | |
| 643 } | |
| 644 | |
| 645 FloatComplexMatrix | |
| 646 FloatComplexMatrix::append (const FloatRowVector& a) const | |
| 647 { | |
| 648 octave_idx_type nr = rows (); | |
| 649 octave_idx_type nc = cols (); | |
| 650 if (nr != 1) | |
| 651 { | |
| 652 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 653 return *this; | |
| 654 } | |
| 655 | |
| 656 octave_idx_type nc_insert = nc; | |
| 657 FloatComplexMatrix retval (nr, nc + a.length ()); | |
| 658 retval.insert (*this, 0, 0); | |
| 659 retval.insert (a, 0, nc_insert); | |
| 660 return retval; | |
| 661 } | |
| 662 | |
| 663 FloatComplexMatrix | |
| 664 FloatComplexMatrix::append (const FloatColumnVector& a) const | |
| 665 { | |
| 666 octave_idx_type nr = rows (); | |
| 667 octave_idx_type nc = cols (); | |
| 668 if (nr != a.length ()) | |
| 669 { | |
| 670 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 671 return *this; | |
| 672 } | |
| 673 | |
| 674 octave_idx_type nc_insert = nc; | |
| 675 FloatComplexMatrix retval (nr, nc + 1); | |
| 676 retval.insert (*this, 0, 0); | |
| 677 retval.insert (a, 0, nc_insert); | |
| 678 return retval; | |
| 679 } | |
| 680 | |
| 681 FloatComplexMatrix | |
| 682 FloatComplexMatrix::append (const FloatDiagMatrix& a) const | |
| 683 { | |
| 684 octave_idx_type nr = rows (); | |
| 685 octave_idx_type nc = cols (); | |
| 686 if (nr != a.rows ()) | |
| 687 { | |
| 688 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 689 return *this; | |
| 690 } | |
| 691 | |
| 692 octave_idx_type nc_insert = nc; | |
| 693 FloatComplexMatrix retval (nr, nc + a.cols ()); | |
| 694 retval.insert (*this, 0, 0); | |
| 695 retval.insert (a, 0, nc_insert); | |
| 696 return retval; | |
| 697 } | |
| 698 | |
| 699 FloatComplexMatrix | |
| 700 FloatComplexMatrix::append (const FloatComplexMatrix& a) const | |
| 701 { | |
| 702 octave_idx_type nr = rows (); | |
| 703 octave_idx_type nc = cols (); | |
| 704 if (nr != a.rows ()) | |
| 705 { | |
| 706 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 707 return *this; | |
| 708 } | |
| 709 | |
| 710 octave_idx_type nc_insert = nc; | |
| 711 FloatComplexMatrix retval (nr, nc + a.cols ()); | |
| 712 retval.insert (*this, 0, 0); | |
| 713 retval.insert (a, 0, nc_insert); | |
| 714 return retval; | |
| 715 } | |
| 716 | |
| 717 FloatComplexMatrix | |
| 718 FloatComplexMatrix::append (const FloatComplexRowVector& a) const | |
| 719 { | |
| 720 octave_idx_type nr = rows (); | |
| 721 octave_idx_type nc = cols (); | |
| 722 if (nr != 1) | |
| 723 { | |
| 724 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 725 return *this; | |
| 726 } | |
| 727 | |
| 728 octave_idx_type nc_insert = nc; | |
| 729 FloatComplexMatrix retval (nr, nc + a.length ()); | |
| 730 retval.insert (*this, 0, 0); | |
| 731 retval.insert (a, 0, nc_insert); | |
| 732 return retval; | |
| 733 } | |
| 734 | |
| 735 FloatComplexMatrix | |
| 736 FloatComplexMatrix::append (const FloatComplexColumnVector& a) const | |
| 737 { | |
| 738 octave_idx_type nr = rows (); | |
| 739 octave_idx_type nc = cols (); | |
| 740 if (nr != a.length ()) | |
| 741 { | |
| 742 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 743 return *this; | |
| 744 } | |
| 745 | |
| 746 octave_idx_type nc_insert = nc; | |
| 747 FloatComplexMatrix retval (nr, nc + 1); | |
| 748 retval.insert (*this, 0, 0); | |
| 749 retval.insert (a, 0, nc_insert); | |
| 750 return retval; | |
| 751 } | |
| 752 | |
| 753 FloatComplexMatrix | |
| 754 FloatComplexMatrix::append (const FloatComplexDiagMatrix& a) const | |
| 755 { | |
| 756 octave_idx_type nr = rows (); | |
| 757 octave_idx_type nc = cols (); | |
| 758 if (nr != a.rows ()) | |
| 759 { | |
| 760 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 761 return *this; | |
| 762 } | |
| 763 | |
| 764 octave_idx_type nc_insert = nc; | |
| 765 FloatComplexMatrix retval (nr, nc + a.cols ()); | |
| 766 retval.insert (*this, 0, 0); | |
| 767 retval.insert (a, 0, nc_insert); | |
| 768 return retval; | |
| 769 } | |
| 770 | |
| 771 FloatComplexMatrix | |
| 772 FloatComplexMatrix::stack (const FloatMatrix& a) const | |
| 773 { | |
| 774 octave_idx_type nr = rows (); | |
| 775 octave_idx_type nc = cols (); | |
| 776 if (nc != a.cols ()) | |
| 777 { | |
| 778 (*current_liboctave_error_handler) | |
| 779 ("column dimension mismatch for stack"); | |
| 780 return *this; | |
| 781 } | |
| 782 | |
| 783 octave_idx_type nr_insert = nr; | |
| 784 FloatComplexMatrix retval (nr + a.rows (), nc); | |
| 785 retval.insert (*this, 0, 0); | |
| 786 retval.insert (a, nr_insert, 0); | |
| 787 return retval; | |
| 788 } | |
| 789 | |
| 790 FloatComplexMatrix | |
| 791 FloatComplexMatrix::stack (const FloatRowVector& a) const | |
| 792 { | |
| 793 octave_idx_type nr = rows (); | |
| 794 octave_idx_type nc = cols (); | |
| 795 if (nc != a.length ()) | |
| 796 { | |
| 797 (*current_liboctave_error_handler) | |
| 798 ("column dimension mismatch for stack"); | |
| 799 return *this; | |
| 800 } | |
| 801 | |
| 802 octave_idx_type nr_insert = nr; | |
| 803 FloatComplexMatrix retval (nr + 1, nc); | |
| 804 retval.insert (*this, 0, 0); | |
| 805 retval.insert (a, nr_insert, 0); | |
| 806 return retval; | |
| 807 } | |
| 808 | |
| 809 FloatComplexMatrix | |
| 810 FloatComplexMatrix::stack (const FloatColumnVector& a) const | |
| 811 { | |
| 812 octave_idx_type nr = rows (); | |
| 813 octave_idx_type nc = cols (); | |
| 814 if (nc != 1) | |
| 815 { | |
| 816 (*current_liboctave_error_handler) | |
| 817 ("column dimension mismatch for stack"); | |
| 818 return *this; | |
| 819 } | |
| 820 | |
| 821 octave_idx_type nr_insert = nr; | |
| 822 FloatComplexMatrix retval (nr + a.length (), nc); | |
| 823 retval.insert (*this, 0, 0); | |
| 824 retval.insert (a, nr_insert, 0); | |
| 825 return retval; | |
| 826 } | |
| 827 | |
| 828 FloatComplexMatrix | |
| 829 FloatComplexMatrix::stack (const FloatDiagMatrix& a) const | |
| 830 { | |
| 831 octave_idx_type nr = rows (); | |
| 832 octave_idx_type nc = cols (); | |
| 833 if (nc != a.cols ()) | |
| 834 { | |
| 835 (*current_liboctave_error_handler) | |
| 836 ("column dimension mismatch for stack"); | |
| 837 return *this; | |
| 838 } | |
| 839 | |
| 840 octave_idx_type nr_insert = nr; | |
| 841 FloatComplexMatrix retval (nr + a.rows (), nc); | |
| 842 retval.insert (*this, 0, 0); | |
| 843 retval.insert (a, nr_insert, 0); | |
| 844 return retval; | |
| 845 } | |
| 846 | |
| 847 FloatComplexMatrix | |
| 848 FloatComplexMatrix::stack (const FloatComplexMatrix& a) const | |
| 849 { | |
| 850 octave_idx_type nr = rows (); | |
| 851 octave_idx_type nc = cols (); | |
| 852 if (nc != a.cols ()) | |
| 853 { | |
| 854 (*current_liboctave_error_handler) | |
| 855 ("column dimension mismatch for stack"); | |
| 856 return *this; | |
| 857 } | |
| 858 | |
| 859 octave_idx_type nr_insert = nr; | |
| 860 FloatComplexMatrix retval (nr + a.rows (), nc); | |
| 861 retval.insert (*this, 0, 0); | |
| 862 retval.insert (a, nr_insert, 0); | |
| 863 return retval; | |
| 864 } | |
| 865 | |
| 866 FloatComplexMatrix | |
| 867 FloatComplexMatrix::stack (const FloatComplexRowVector& a) const | |
| 868 { | |
| 869 octave_idx_type nr = rows (); | |
| 870 octave_idx_type nc = cols (); | |
| 871 if (nc != a.length ()) | |
| 872 { | |
| 873 (*current_liboctave_error_handler) | |
| 874 ("column dimension mismatch for stack"); | |
| 875 return *this; | |
| 876 } | |
| 877 | |
| 878 octave_idx_type nr_insert = nr; | |
| 879 FloatComplexMatrix retval (nr + 1, nc); | |
| 880 retval.insert (*this, 0, 0); | |
| 881 retval.insert (a, nr_insert, 0); | |
| 882 return retval; | |
| 883 } | |
| 884 | |
| 885 FloatComplexMatrix | |
| 886 FloatComplexMatrix::stack (const FloatComplexColumnVector& a) const | |
| 887 { | |
| 888 octave_idx_type nr = rows (); | |
| 889 octave_idx_type nc = cols (); | |
| 890 if (nc != 1) | |
| 891 { | |
| 892 (*current_liboctave_error_handler) | |
| 893 ("column dimension mismatch for stack"); | |
| 894 return *this; | |
| 895 } | |
| 896 | |
| 897 octave_idx_type nr_insert = nr; | |
| 898 FloatComplexMatrix retval (nr + a.length (), nc); | |
| 899 retval.insert (*this, 0, 0); | |
| 900 retval.insert (a, nr_insert, 0); | |
| 901 return retval; | |
| 902 } | |
| 903 | |
| 904 FloatComplexMatrix | |
| 905 FloatComplexMatrix::stack (const FloatComplexDiagMatrix& a) const | |
| 906 { | |
| 907 octave_idx_type nr = rows (); | |
| 908 octave_idx_type nc = cols (); | |
| 909 if (nc != a.cols ()) | |
| 910 { | |
| 911 (*current_liboctave_error_handler) | |
| 912 ("column dimension mismatch for stack"); | |
| 913 return *this; | |
| 914 } | |
| 915 | |
| 916 octave_idx_type nr_insert = nr; | |
| 917 FloatComplexMatrix retval (nr + a.rows (), nc); | |
| 918 retval.insert (*this, 0, 0); | |
| 919 retval.insert (a, nr_insert, 0); | |
| 920 return retval; | |
| 921 } | |
| 922 | |
| 923 FloatComplexMatrix | |
| 924 conj (const FloatComplexMatrix& a) | |
| 925 { | |
| 926 return do_mx_unary_map<FloatComplex, FloatComplex, std::conj<float> > (a); | |
| 927 } | |
| 928 | |
| 929 // resize is the destructive equivalent for this one | |
| 930 | |
| 931 FloatComplexMatrix | |
| 932 FloatComplexMatrix::extract (octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) const | |
| 933 { | |
| 934 if (r1 > r2) { octave_idx_type tmp = r1; r1 = r2; r2 = tmp; } | |
| 935 if (c1 > c2) { octave_idx_type tmp = c1; c1 = c2; c2 = tmp; } | |
| 936 | |
| 937 return index (idx_vector (r1, r2+1), idx_vector (c1, c2+1)); | |
| 938 } | |
| 939 | |
| 940 FloatComplexMatrix | |
| 941 FloatComplexMatrix::extract_n (octave_idx_type r1, octave_idx_type c1, octave_idx_type nr, octave_idx_type nc) const | |
| 942 { | |
| 943 return index (idx_vector (r1, r1 + nr), idx_vector (c1, c1 + nc)); | |
| 944 } | |
| 945 | |
| 946 // extract row or column i. | |
| 947 | |
| 948 FloatComplexRowVector | |
| 949 FloatComplexMatrix::row (octave_idx_type i) const | |
| 950 { | |
| 951 return index (idx_vector (i), idx_vector::colon); | |
| 952 } | |
| 953 | |
| 954 FloatComplexColumnVector | |
| 955 FloatComplexMatrix::column (octave_idx_type i) const | |
| 956 { | |
| 957 return index (idx_vector::colon, idx_vector (i)); | |
| 958 } | |
| 959 | |
| 960 FloatComplexMatrix | |
| 961 FloatComplexMatrix::inverse (void) const | |
| 962 { | |
| 963 octave_idx_type info; | |
| 964 float rcon; | |
| 965 MatrixType mattype (*this); | |
| 966 return inverse (mattype, info, rcon, 0, 0); | |
| 967 } | |
| 968 | |
| 969 FloatComplexMatrix | |
| 970 FloatComplexMatrix::inverse (octave_idx_type& info) const | |
| 971 { | |
| 972 float rcon; | |
| 973 MatrixType mattype (*this); | |
| 974 return inverse (mattype, info, rcon, 0, 0); | |
| 975 } | |
| 976 | |
| 977 FloatComplexMatrix | |
| 978 FloatComplexMatrix::inverse (octave_idx_type& info, float& rcon, int force, | |
| 979 int calc_cond) const | |
| 980 { | |
| 981 MatrixType mattype (*this); | |
| 982 return inverse (mattype, info, rcon, force, calc_cond); | |
| 983 } | |
| 984 | |
| 985 FloatComplexMatrix | |
| 986 FloatComplexMatrix::inverse (MatrixType &mattype) const | |
| 987 { | |
| 988 octave_idx_type info; | |
| 989 float rcon; | |
| 990 return inverse (mattype, info, rcon, 0, 0); | |
| 991 } | |
| 992 | |
| 993 FloatComplexMatrix | |
| 994 FloatComplexMatrix::inverse (MatrixType &mattype, octave_idx_type& info) const | |
| 995 { | |
| 996 float rcon; | |
| 997 return inverse (mattype, info, rcon, 0, 0); | |
| 998 } | |
| 999 | |
| 1000 FloatComplexMatrix | |
| 1001 FloatComplexMatrix::tinverse (MatrixType &mattype, octave_idx_type& info, | |
| 1002 float& rcon, int force, int calc_cond) const | |
| 1003 { | |
| 1004 FloatComplexMatrix retval; | |
| 1005 | |
| 1006 octave_idx_type nr = rows (); | |
| 1007 octave_idx_type nc = cols (); | |
| 1008 | |
| 1009 if (nr != nc || nr == 0 || nc == 0) | |
| 1010 (*current_liboctave_error_handler) ("inverse requires square matrix"); | |
| 1011 else | |
| 1012 { | |
| 1013 int typ = mattype.type (); | |
| 1014 char uplo = (typ == MatrixType::Lower ? 'L' : 'U'); | |
| 1015 char udiag = 'N'; | |
| 1016 retval = *this; | |
| 1017 FloatComplex *tmp_data = retval.fortran_vec (); | |
| 1018 | |
| 1019 F77_XFCN (ctrtri, CTRTRI, (F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1020 F77_CONST_CHAR_ARG2 (&udiag, 1), | |
| 1021 nr, tmp_data, nr, info | |
| 1022 F77_CHAR_ARG_LEN (1) | |
| 1023 F77_CHAR_ARG_LEN (1))); | |
| 1024 | |
| 1025 // Throw-away extra info LAPACK gives so as to not change output. | |
| 1026 rcon = 0.0; | |
| 1027 if (info != 0) | |
| 1028 info = -1; | |
| 1029 else if (calc_cond) | |
| 1030 { | |
| 1031 octave_idx_type ztrcon_info = 0; | |
| 1032 char job = '1'; | |
| 1033 | |
| 1034 OCTAVE_LOCAL_BUFFER (FloatComplex, cwork, 2*nr); | |
| 1035 OCTAVE_LOCAL_BUFFER (float, rwork, nr); | |
| 1036 | |
| 1037 F77_XFCN (ctrcon, CTRCON, (F77_CONST_CHAR_ARG2 (&job, 1), | |
| 1038 F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1039 F77_CONST_CHAR_ARG2 (&udiag, 1), | |
| 1040 nr, tmp_data, nr, rcon, | |
| 1041 cwork, rwork, ztrcon_info | |
| 1042 F77_CHAR_ARG_LEN (1) | |
| 1043 F77_CHAR_ARG_LEN (1) | |
| 1044 F77_CHAR_ARG_LEN (1))); | |
| 1045 | |
| 1046 if (ztrcon_info != 0) | |
| 1047 info = -1; | |
| 1048 } | |
| 1049 | |
| 1050 if (info == -1 && ! force) | |
| 1051 retval = *this; // Restore matrix contents. | |
| 1052 } | |
| 1053 | |
| 1054 return retval; | |
| 1055 } | |
| 1056 | |
| 1057 FloatComplexMatrix | |
| 1058 FloatComplexMatrix::finverse (MatrixType &mattype, octave_idx_type& info, | |
| 1059 float& rcon, int force, int calc_cond) const | |
| 1060 { | |
| 1061 FloatComplexMatrix retval; | |
| 1062 | |
| 1063 octave_idx_type nr = rows (); | |
| 1064 octave_idx_type nc = cols (); | |
| 1065 | |
| 1066 if (nr != nc) | |
| 1067 (*current_liboctave_error_handler) ("inverse requires square matrix"); | |
| 1068 else | |
| 1069 { | |
| 1070 Array<octave_idx_type> ipvt (dim_vector (nr, 1)); | |
| 1071 octave_idx_type *pipvt = ipvt.fortran_vec (); | |
| 1072 | |
| 1073 retval = *this; | |
| 1074 FloatComplex *tmp_data = retval.fortran_vec (); | |
| 1075 | |
| 1076 Array<FloatComplex> z (dim_vector (1, 1)); | |
| 1077 octave_idx_type lwork = -1; | |
| 1078 | |
| 1079 // Query the optimum work array size. | |
| 1080 | |
| 1081 F77_XFCN (cgetri, CGETRI, (nc, tmp_data, nr, pipvt, | |
| 1082 z.fortran_vec (), lwork, info)); | |
| 1083 | |
| 1084 lwork = static_cast<octave_idx_type> (std::real (z(0))); | |
| 1085 lwork = (lwork < 2 *nc ? 2*nc : lwork); | |
| 1086 z.resize (dim_vector (lwork, 1)); | |
| 1087 FloatComplex *pz = z.fortran_vec (); | |
| 1088 | |
| 1089 info = 0; | |
| 1090 | |
| 1091 // Calculate the norm of the matrix, for later use. | |
| 1092 float anorm; | |
| 1093 if (calc_cond) | |
| 1094 anorm = retval.abs ().sum ().row (static_cast<octave_idx_type>(0)).max (); | |
| 1095 | |
| 1096 F77_XFCN (cgetrf, CGETRF, (nc, nc, tmp_data, nr, pipvt, info)); | |
| 1097 | |
| 1098 // Throw-away extra info LAPACK gives so as to not change output. | |
| 1099 rcon = 0.0; | |
| 1100 if (info != 0) | |
| 1101 info = -1; | |
| 1102 else if (calc_cond) | |
| 1103 { | |
| 1104 // Now calculate the condition number for non-singular matrix. | |
| 1105 octave_idx_type zgecon_info = 0; | |
| 1106 char job = '1'; | |
| 1107 Array<float> rz (dim_vector (2 * nc, 1)); | |
| 1108 float *prz = rz.fortran_vec (); | |
| 1109 F77_XFCN (cgecon, CGECON, (F77_CONST_CHAR_ARG2 (&job, 1), | |
| 1110 nc, tmp_data, nr, anorm, | |
| 1111 rcon, pz, prz, zgecon_info | |
| 1112 F77_CHAR_ARG_LEN (1))); | |
| 1113 | |
| 1114 if (zgecon_info != 0) | |
| 1115 info = -1; | |
| 1116 } | |
| 1117 | |
| 1118 if (info == -1 && ! force) | |
| 1119 retval = *this; // Restore contents. | |
| 1120 else | |
| 1121 { | |
| 1122 octave_idx_type zgetri_info = 0; | |
| 1123 | |
| 1124 F77_XFCN (cgetri, CGETRI, (nc, tmp_data, nr, pipvt, | |
| 1125 pz, lwork, zgetri_info)); | |
| 1126 | |
| 1127 if (zgetri_info != 0) | |
| 1128 info = -1; | |
| 1129 } | |
| 1130 | |
| 1131 if (info != 0) | |
| 1132 mattype.mark_as_rectangular (); | |
| 1133 } | |
| 1134 | |
| 1135 return retval; | |
| 1136 } | |
| 1137 | |
| 1138 FloatComplexMatrix | |
| 1139 FloatComplexMatrix::inverse (MatrixType &mattype, octave_idx_type& info, | |
| 1140 float& rcon, int force, int calc_cond) const | |
| 1141 { | |
| 1142 int typ = mattype.type (false); | |
| 1143 FloatComplexMatrix ret; | |
| 1144 | |
| 1145 if (typ == MatrixType::Unknown) | |
| 1146 typ = mattype.type (*this); | |
| 1147 | |
| 1148 if (typ == MatrixType::Upper || typ == MatrixType::Lower) | |
| 1149 ret = tinverse (mattype, info, rcon, force, calc_cond); | |
| 1150 else | |
| 1151 { | |
| 1152 if (mattype.is_hermitian ()) | |
| 1153 { | |
| 1154 FloatComplexCHOL chol (*this, info, calc_cond); | |
| 1155 if (info == 0) | |
| 1156 { | |
| 1157 if (calc_cond) | |
| 1158 rcon = chol.rcond (); | |
| 1159 else | |
| 1160 rcon = 1.0; | |
| 1161 ret = chol.inverse (); | |
| 1162 } | |
| 1163 else | |
| 1164 mattype.mark_as_unsymmetric (); | |
| 1165 } | |
| 1166 | |
| 1167 if (!mattype.is_hermitian ()) | |
| 1168 ret = finverse (mattype, info, rcon, force, calc_cond); | |
| 1169 | |
| 1170 if ((mattype.is_hermitian () || calc_cond) && rcon == 0.) | |
| 1171 ret = FloatComplexMatrix (rows (), columns (), FloatComplex (octave_Float_Inf, 0.)); | |
| 1172 } | |
| 1173 | |
| 1174 return ret; | |
| 1175 } | |
| 1176 | |
| 1177 FloatComplexMatrix | |
| 1178 FloatComplexMatrix::pseudo_inverse (float tol) const | |
| 1179 { | |
| 1180 FloatComplexMatrix retval; | |
| 1181 | |
| 1182 FloatComplexSVD result (*this, SVD::economy); | |
| 1183 | |
| 1184 FloatDiagMatrix S = result.singular_values (); | |
| 1185 FloatComplexMatrix U = result.left_singular_matrix (); | |
| 1186 FloatComplexMatrix V = result.right_singular_matrix (); | |
| 1187 | |
| 1188 FloatColumnVector sigma = S.diag (); | |
| 1189 | |
| 1190 octave_idx_type r = sigma.length () - 1; | |
| 1191 octave_idx_type nr = rows (); | |
| 1192 octave_idx_type nc = cols (); | |
| 1193 | |
| 1194 if (tol <= 0.0) | |
| 1195 { | |
| 1196 if (nr > nc) | |
| 1197 tol = nr * sigma.elem (0) * std::numeric_limits<double>::epsilon (); | |
| 1198 else | |
| 1199 tol = nc * sigma.elem (0) * std::numeric_limits<double>::epsilon (); | |
| 1200 } | |
| 1201 | |
| 1202 while (r >= 0 && sigma.elem (r) < tol) | |
| 1203 r--; | |
| 1204 | |
| 1205 if (r < 0) | |
| 1206 retval = FloatComplexMatrix (nc, nr, 0.0); | |
| 1207 else | |
| 1208 { | |
| 1209 FloatComplexMatrix Ur = U.extract (0, 0, nr-1, r); | |
| 1210 FloatDiagMatrix D = FloatDiagMatrix (sigma.extract (0, r)) . inverse (); | |
| 1211 FloatComplexMatrix Vr = V.extract (0, 0, nc-1, r); | |
| 1212 retval = Vr * D * Ur.hermitian (); | |
| 1213 } | |
| 1214 | |
| 1215 return retval; | |
| 1216 } | |
| 1217 | |
| 1218 #if defined (HAVE_FFTW) | |
| 1219 | |
| 1220 FloatComplexMatrix | |
| 1221 FloatComplexMatrix::fourier (void) const | |
| 1222 { | |
| 1223 size_t nr = rows (); | |
| 1224 size_t nc = cols (); | |
| 1225 | |
| 1226 FloatComplexMatrix retval (nr, nc); | |
| 1227 | |
| 1228 size_t npts, nsamples; | |
| 1229 | |
| 1230 if (nr == 1 || nc == 1) | |
| 1231 { | |
| 1232 npts = nr > nc ? nr : nc; | |
| 1233 nsamples = 1; | |
| 1234 } | |
| 1235 else | |
| 1236 { | |
| 1237 npts = nr; | |
| 1238 nsamples = nc; | |
| 1239 } | |
| 1240 | |
| 1241 const FloatComplex *in (data ()); | |
| 1242 FloatComplex *out (retval.fortran_vec ()); | |
| 1243 | |
| 1244 octave_fftw::fft (in, out, npts, nsamples); | |
| 1245 | |
| 1246 return retval; | |
| 1247 } | |
| 1248 | |
| 1249 FloatComplexMatrix | |
| 1250 FloatComplexMatrix::ifourier (void) const | |
| 1251 { | |
| 1252 size_t nr = rows (); | |
| 1253 size_t nc = cols (); | |
| 1254 | |
| 1255 FloatComplexMatrix retval (nr, nc); | |
| 1256 | |
| 1257 size_t npts, nsamples; | |
| 1258 | |
| 1259 if (nr == 1 || nc == 1) | |
| 1260 { | |
| 1261 npts = nr > nc ? nr : nc; | |
| 1262 nsamples = 1; | |
| 1263 } | |
| 1264 else | |
| 1265 { | |
| 1266 npts = nr; | |
| 1267 nsamples = nc; | |
| 1268 } | |
| 1269 | |
| 1270 const FloatComplex *in (data ()); | |
| 1271 FloatComplex *out (retval.fortran_vec ()); | |
| 1272 | |
| 1273 octave_fftw::ifft (in, out, npts, nsamples); | |
| 1274 | |
| 1275 return retval; | |
| 1276 } | |
| 1277 | |
| 1278 FloatComplexMatrix | |
| 1279 FloatComplexMatrix::fourier2d (void) const | |
| 1280 { | |
| 1281 dim_vector dv(rows (), cols ()); | |
| 1282 | |
| 1283 FloatComplexMatrix retval (rows (), cols ()); | |
| 1284 const FloatComplex *in (data ()); | |
| 1285 FloatComplex *out (retval.fortran_vec ()); | |
| 1286 | |
| 1287 octave_fftw::fftNd (in, out, 2, dv); | |
| 1288 | |
| 1289 return retval; | |
| 1290 } | |
| 1291 | |
| 1292 FloatComplexMatrix | |
| 1293 FloatComplexMatrix::ifourier2d (void) const | |
| 1294 { | |
| 1295 dim_vector dv(rows (), cols ()); | |
| 1296 | |
| 1297 FloatComplexMatrix retval (rows (), cols ()); | |
| 1298 const FloatComplex *in (data ()); | |
| 1299 FloatComplex *out (retval.fortran_vec ()); | |
| 1300 | |
| 1301 octave_fftw::ifftNd (in, out, 2, dv); | |
| 1302 | |
| 1303 return retval; | |
| 1304 } | |
| 1305 | |
| 1306 #else | |
| 1307 | |
| 1308 extern "C" | |
| 1309 { | |
| 1310 F77_RET_T | |
| 1311 F77_FUNC (cffti, CFFTI) (const octave_idx_type&, FloatComplex*); | |
| 1312 | |
| 1313 F77_RET_T | |
| 1314 F77_FUNC (cfftf, CFFTF) (const octave_idx_type&, FloatComplex*, FloatComplex*); | |
| 1315 | |
| 1316 F77_RET_T | |
| 1317 F77_FUNC (cfftb, CFFTB) (const octave_idx_type&, FloatComplex*, FloatComplex*); | |
| 1318 } | |
| 1319 | |
| 1320 FloatComplexMatrix | |
| 1321 FloatComplexMatrix::fourier (void) const | |
| 1322 { | |
| 1323 FloatComplexMatrix retval; | |
| 1324 | |
| 1325 octave_idx_type nr = rows (); | |
| 1326 octave_idx_type nc = cols (); | |
| 1327 | |
| 1328 octave_idx_type npts, nsamples; | |
| 1329 | |
| 1330 if (nr == 1 || nc == 1) | |
| 1331 { | |
| 1332 npts = nr > nc ? nr : nc; | |
| 1333 nsamples = 1; | |
| 1334 } | |
| 1335 else | |
| 1336 { | |
| 1337 npts = nr; | |
| 1338 nsamples = nc; | |
| 1339 } | |
| 1340 | |
| 1341 octave_idx_type nn = 4*npts+15; | |
| 1342 | |
| 1343 Array<FloatComplex> wsave (dim_vector (nn, 1)); | |
| 1344 FloatComplex *pwsave = wsave.fortran_vec (); | |
| 1345 | |
| 1346 retval = *this; | |
| 1347 FloatComplex *tmp_data = retval.fortran_vec (); | |
| 1348 | |
| 1349 F77_FUNC (cffti, CFFTI) (npts, pwsave); | |
| 1350 | |
| 1351 for (octave_idx_type j = 0; j < nsamples; j++) | |
| 1352 { | |
| 1353 octave_quit (); | |
| 1354 | |
| 1355 F77_FUNC (cfftf, CFFTF) (npts, &tmp_data[npts*j], pwsave); | |
| 1356 } | |
| 1357 | |
| 1358 return retval; | |
| 1359 } | |
| 1360 | |
| 1361 FloatComplexMatrix | |
| 1362 FloatComplexMatrix::ifourier (void) const | |
| 1363 { | |
| 1364 FloatComplexMatrix retval; | |
| 1365 | |
| 1366 octave_idx_type nr = rows (); | |
| 1367 octave_idx_type nc = cols (); | |
| 1368 | |
| 1369 octave_idx_type npts, nsamples; | |
| 1370 | |
| 1371 if (nr == 1 || nc == 1) | |
| 1372 { | |
| 1373 npts = nr > nc ? nr : nc; | |
| 1374 nsamples = 1; | |
| 1375 } | |
| 1376 else | |
| 1377 { | |
| 1378 npts = nr; | |
| 1379 nsamples = nc; | |
| 1380 } | |
| 1381 | |
| 1382 octave_idx_type nn = 4*npts+15; | |
| 1383 | |
| 1384 Array<FloatComplex> wsave (dim_vector (nn, 1)); | |
| 1385 FloatComplex *pwsave = wsave.fortran_vec (); | |
| 1386 | |
| 1387 retval = *this; | |
| 1388 FloatComplex *tmp_data = retval.fortran_vec (); | |
| 1389 | |
| 1390 F77_FUNC (cffti, CFFTI) (npts, pwsave); | |
| 1391 | |
| 1392 for (octave_idx_type j = 0; j < nsamples; j++) | |
| 1393 { | |
| 1394 octave_quit (); | |
| 1395 | |
| 1396 F77_FUNC (cfftb, CFFTB) (npts, &tmp_data[npts*j], pwsave); | |
| 1397 } | |
| 1398 | |
| 1399 for (octave_idx_type j = 0; j < npts*nsamples; j++) | |
| 1400 tmp_data[j] = tmp_data[j] / static_cast<float> (npts); | |
| 1401 | |
| 1402 return retval; | |
| 1403 } | |
| 1404 | |
| 1405 FloatComplexMatrix | |
| 1406 FloatComplexMatrix::fourier2d (void) const | |
| 1407 { | |
| 1408 FloatComplexMatrix retval; | |
| 1409 | |
| 1410 octave_idx_type nr = rows (); | |
| 1411 octave_idx_type nc = cols (); | |
| 1412 | |
| 1413 octave_idx_type npts, nsamples; | |
| 1414 | |
| 1415 if (nr == 1 || nc == 1) | |
| 1416 { | |
| 1417 npts = nr > nc ? nr : nc; | |
| 1418 nsamples = 1; | |
| 1419 } | |
| 1420 else | |
| 1421 { | |
| 1422 npts = nr; | |
| 1423 nsamples = nc; | |
| 1424 } | |
| 1425 | |
| 1426 octave_idx_type nn = 4*npts+15; | |
| 1427 | |
| 1428 Array<FloatComplex> wsave (dim_vector (nn, 1)); | |
| 1429 FloatComplex *pwsave = wsave.fortran_vec (); | |
| 1430 | |
| 1431 retval = *this; | |
| 1432 FloatComplex *tmp_data = retval.fortran_vec (); | |
| 1433 | |
| 1434 F77_FUNC (cffti, CFFTI) (npts, pwsave); | |
| 1435 | |
| 1436 for (octave_idx_type j = 0; j < nsamples; j++) | |
| 1437 { | |
| 1438 octave_quit (); | |
| 1439 | |
| 1440 F77_FUNC (cfftf, CFFTF) (npts, &tmp_data[npts*j], pwsave); | |
| 1441 } | |
| 1442 | |
| 1443 npts = nc; | |
| 1444 nsamples = nr; | |
| 1445 nn = 4*npts+15; | |
| 1446 | |
| 1447 wsave.resize (dim_vector (nn, 1)); | |
| 1448 pwsave = wsave.fortran_vec (); | |
| 1449 | |
| 1450 Array<FloatComplex> tmp (dim_vector (npts, 1)); | |
| 1451 FloatComplex *prow = tmp.fortran_vec (); | |
| 1452 | |
| 1453 F77_FUNC (cffti, CFFTI) (npts, pwsave); | |
| 1454 | |
| 1455 for (octave_idx_type j = 0; j < nsamples; j++) | |
| 1456 { | |
| 1457 octave_quit (); | |
| 1458 | |
| 1459 for (octave_idx_type i = 0; i < npts; i++) | |
| 1460 prow[i] = tmp_data[i*nr + j]; | |
| 1461 | |
| 1462 F77_FUNC (cfftf, CFFTF) (npts, prow, pwsave); | |
| 1463 | |
| 1464 for (octave_idx_type i = 0; i < npts; i++) | |
| 1465 tmp_data[i*nr + j] = prow[i]; | |
| 1466 } | |
| 1467 | |
| 1468 return retval; | |
| 1469 } | |
| 1470 | |
| 1471 FloatComplexMatrix | |
| 1472 FloatComplexMatrix::ifourier2d (void) const | |
| 1473 { | |
| 1474 FloatComplexMatrix retval; | |
| 1475 | |
| 1476 octave_idx_type nr = rows (); | |
| 1477 octave_idx_type nc = cols (); | |
| 1478 | |
| 1479 octave_idx_type npts, nsamples; | |
| 1480 | |
| 1481 if (nr == 1 || nc == 1) | |
| 1482 { | |
| 1483 npts = nr > nc ? nr : nc; | |
| 1484 nsamples = 1; | |
| 1485 } | |
| 1486 else | |
| 1487 { | |
| 1488 npts = nr; | |
| 1489 nsamples = nc; | |
| 1490 } | |
| 1491 | |
| 1492 octave_idx_type nn = 4*npts+15; | |
| 1493 | |
| 1494 Array<FloatComplex> wsave (dim_vector (nn, 1)); | |
| 1495 FloatComplex *pwsave = wsave.fortran_vec (); | |
| 1496 | |
| 1497 retval = *this; | |
| 1498 FloatComplex *tmp_data = retval.fortran_vec (); | |
| 1499 | |
| 1500 F77_FUNC (cffti, CFFTI) (npts, pwsave); | |
| 1501 | |
| 1502 for (octave_idx_type j = 0; j < nsamples; j++) | |
| 1503 { | |
| 1504 octave_quit (); | |
| 1505 | |
| 1506 F77_FUNC (cfftb, CFFTB) (npts, &tmp_data[npts*j], pwsave); | |
| 1507 } | |
| 1508 | |
| 1509 for (octave_idx_type j = 0; j < npts*nsamples; j++) | |
| 1510 tmp_data[j] = tmp_data[j] / static_cast<float> (npts); | |
| 1511 | |
| 1512 npts = nc; | |
| 1513 nsamples = nr; | |
| 1514 nn = 4*npts+15; | |
| 1515 | |
| 1516 wsave.resize (dim_vector (nn, 1)); | |
| 1517 pwsave = wsave.fortran_vec (); | |
| 1518 | |
| 1519 Array<FloatComplex> tmp (dim_vector (npts, 1)); | |
| 1520 FloatComplex *prow = tmp.fortran_vec (); | |
| 1521 | |
| 1522 F77_FUNC (cffti, CFFTI) (npts, pwsave); | |
| 1523 | |
| 1524 for (octave_idx_type j = 0; j < nsamples; j++) | |
| 1525 { | |
| 1526 octave_quit (); | |
| 1527 | |
| 1528 for (octave_idx_type i = 0; i < npts; i++) | |
| 1529 prow[i] = tmp_data[i*nr + j]; | |
| 1530 | |
| 1531 F77_FUNC (cfftb, CFFTB) (npts, prow, pwsave); | |
| 1532 | |
| 1533 for (octave_idx_type i = 0; i < npts; i++) | |
| 1534 tmp_data[i*nr + j] = prow[i] / static_cast<float> (npts); | |
| 1535 } | |
| 1536 | |
| 1537 return retval; | |
| 1538 } | |
| 1539 | |
| 1540 #endif | |
| 1541 | |
| 1542 FloatComplexDET | |
| 1543 FloatComplexMatrix::determinant (void) const | |
| 1544 { | |
| 1545 octave_idx_type info; | |
| 1546 float rcon; | |
| 1547 return determinant (info, rcon, 0); | |
| 1548 } | |
| 1549 | |
| 1550 FloatComplexDET | |
| 1551 FloatComplexMatrix::determinant (octave_idx_type& info) const | |
| 1552 { | |
| 1553 float rcon; | |
| 1554 return determinant (info, rcon, 0); | |
| 1555 } | |
| 1556 | |
| 1557 FloatComplexDET | |
| 1558 FloatComplexMatrix::determinant (octave_idx_type& info, float& rcon, int calc_cond) const | |
| 1559 { | |
| 1560 MatrixType mattype (*this); | |
| 1561 return determinant (mattype, info, rcon, calc_cond); | |
| 1562 } | |
| 1563 | |
| 1564 FloatComplexDET | |
| 1565 FloatComplexMatrix::determinant (MatrixType& mattype, | |
| 1566 octave_idx_type& info, float& rcon, int calc_cond) const | |
| 1567 { | |
| 1568 FloatComplexDET retval (1.0); | |
| 1569 | |
| 1570 info = 0; | |
| 1571 rcon = 0.0; | |
| 1572 | |
| 1573 octave_idx_type nr = rows (); | |
| 1574 octave_idx_type nc = cols (); | |
| 1575 | |
| 1576 if (nr != nc) | |
| 1577 (*current_liboctave_error_handler) ("matrix must be square"); | |
| 1578 else | |
| 1579 { | |
| 1580 volatile int typ = mattype.type (); | |
| 1581 | |
| 1582 // Even though the matrix is marked as singular (Rectangular), we may | |
| 1583 // still get a useful number from the LU factorization, because it always | |
| 1584 // completes. | |
| 1585 | |
| 1586 if (typ == MatrixType::Unknown) | |
| 1587 typ = mattype.type (*this); | |
| 1588 else if (typ == MatrixType::Rectangular) | |
| 1589 typ = MatrixType::Full; | |
| 1590 | |
| 1591 if (typ == MatrixType::Lower || typ == MatrixType::Upper) | |
| 1592 { | |
| 1593 for (octave_idx_type i = 0; i < nc; i++) | |
| 1594 retval *= elem (i,i); | |
| 1595 } | |
| 1596 else if (typ == MatrixType::Hermitian) | |
| 1597 { | |
| 1598 FloatComplexMatrix atmp = *this; | |
| 1599 FloatComplex *tmp_data = atmp.fortran_vec (); | |
| 1600 | |
| 1601 float anorm = 0; | |
| 1602 if (calc_cond) anorm = xnorm (*this, 1); | |
| 1603 | |
| 1604 | |
| 1605 char job = 'L'; | |
| 1606 F77_XFCN (cpotrf, CPOTRF, (F77_CONST_CHAR_ARG2 (&job, 1), nr, | |
| 1607 tmp_data, nr, info | |
| 1608 F77_CHAR_ARG_LEN (1))); | |
| 1609 | |
| 1610 if (info != 0) | |
| 1611 { | |
| 1612 rcon = 0.0; | |
| 1613 mattype.mark_as_unsymmetric (); | |
| 1614 typ = MatrixType::Full; | |
| 1615 } | |
| 1616 else | |
| 1617 { | |
| 1618 Array<FloatComplex> z (dim_vector (2 * nc, 1)); | |
| 1619 FloatComplex *pz = z.fortran_vec (); | |
| 1620 Array<float> rz (dim_vector (nc, 1)); | |
| 1621 float *prz = rz.fortran_vec (); | |
| 1622 | |
| 1623 F77_XFCN (cpocon, CPOCON, (F77_CONST_CHAR_ARG2 (&job, 1), | |
| 1624 nr, tmp_data, nr, anorm, | |
| 1625 rcon, pz, prz, info | |
| 1626 F77_CHAR_ARG_LEN (1))); | |
| 1627 | |
| 1628 if (info != 0) | |
| 1629 rcon = 0.0; | |
| 1630 | |
| 1631 for (octave_idx_type i = 0; i < nc; i++) | |
| 1632 retval *= atmp (i,i); | |
| 1633 | |
| 1634 retval = retval.square (); | |
| 1635 } | |
| 1636 } | |
| 1637 else if (typ != MatrixType::Full) | |
| 1638 (*current_liboctave_error_handler) ("det: invalid dense matrix type"); | |
| 1639 | |
| 1640 if (typ == MatrixType::Full) | |
| 1641 { | |
| 1642 Array<octave_idx_type> ipvt (dim_vector (nr, 1)); | |
| 1643 octave_idx_type *pipvt = ipvt.fortran_vec (); | |
| 1644 | |
| 1645 FloatComplexMatrix atmp = *this; | |
| 1646 FloatComplex *tmp_data = atmp.fortran_vec (); | |
| 1647 | |
| 1648 info = 0; | |
| 1649 | |
| 1650 // Calculate the norm of the matrix, for later use. | |
| 1651 float anorm = 0; | |
| 1652 if (calc_cond) anorm = xnorm (*this, 1); | |
| 1653 | |
| 1654 F77_XFCN (cgetrf, CGETRF, (nr, nr, tmp_data, nr, pipvt, info)); | |
| 1655 | |
| 1656 // Throw-away extra info LAPACK gives so as to not change output. | |
| 1657 rcon = 0.0; | |
| 1658 if (info != 0) | |
| 1659 { | |
| 1660 info = -1; | |
| 1661 retval = FloatComplexDET (); | |
| 1662 } | |
| 1663 else | |
| 1664 { | |
| 1665 if (calc_cond) | |
| 1666 { | |
| 1667 // Now calc the condition number for non-singular matrix. | |
| 1668 char job = '1'; | |
| 1669 Array<FloatComplex> z (dim_vector (2 * nc, 1)); | |
| 1670 FloatComplex *pz = z.fortran_vec (); | |
| 1671 Array<float> rz (dim_vector (2 * nc, 1)); | |
| 1672 float *prz = rz.fortran_vec (); | |
| 1673 | |
| 1674 F77_XFCN (cgecon, CGECON, (F77_CONST_CHAR_ARG2 (&job, 1), | |
| 1675 nc, tmp_data, nr, anorm, | |
| 1676 rcon, pz, prz, info | |
| 1677 F77_CHAR_ARG_LEN (1))); | |
| 1678 } | |
| 1679 | |
| 1680 if (info != 0) | |
| 1681 { | |
| 1682 info = -1; | |
| 1683 retval = FloatComplexDET (); | |
| 1684 } | |
| 1685 else | |
| 1686 { | |
| 1687 for (octave_idx_type i = 0; i < nc; i++) | |
| 1688 { | |
| 1689 FloatComplex c = atmp(i,i); | |
| 1690 retval *= (ipvt(i) != (i+1)) ? -c : c; | |
| 1691 } | |
| 1692 } | |
| 1693 } | |
| 1694 } | |
| 1695 } | |
| 1696 | |
| 1697 return retval; | |
| 1698 } | |
| 1699 | |
| 1700 float | |
| 1701 FloatComplexMatrix::rcond (void) const | |
| 1702 { | |
| 1703 MatrixType mattype (*this); | |
| 1704 return rcond (mattype); | |
| 1705 } | |
| 1706 | |
| 1707 float | |
| 1708 FloatComplexMatrix::rcond (MatrixType &mattype) const | |
| 1709 { | |
| 1710 float rcon; | |
| 1711 octave_idx_type nr = rows (); | |
| 1712 octave_idx_type nc = cols (); | |
| 1713 | |
| 1714 if (nr != nc) | |
| 1715 (*current_liboctave_error_handler) ("matrix must be square"); | |
| 1716 else if (nr == 0 || nc == 0) | |
| 1717 rcon = octave_Inf; | |
| 1718 else | |
| 1719 { | |
| 1720 int typ = mattype.type (); | |
| 1721 | |
| 1722 if (typ == MatrixType::Unknown) | |
| 1723 typ = mattype.type (*this); | |
| 1724 | |
| 1725 // Only calculate the condition number for LU/Cholesky | |
| 1726 if (typ == MatrixType::Upper) | |
| 1727 { | |
| 1728 const FloatComplex *tmp_data = fortran_vec (); | |
| 1729 octave_idx_type info = 0; | |
| 1730 char norm = '1'; | |
| 1731 char uplo = 'U'; | |
| 1732 char dia = 'N'; | |
| 1733 | |
| 1734 Array<FloatComplex> z (dim_vector (2 * nc, 1)); | |
| 1735 FloatComplex *pz = z.fortran_vec (); | |
| 1736 Array<float> rz (dim_vector (nc, 1)); | |
| 1737 float *prz = rz.fortran_vec (); | |
| 1738 | |
| 1739 F77_XFCN (ctrcon, CTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), | |
| 1740 F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1741 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 1742 nr, tmp_data, nr, rcon, | |
| 1743 pz, prz, info | |
| 1744 F77_CHAR_ARG_LEN (1) | |
| 1745 F77_CHAR_ARG_LEN (1) | |
| 1746 F77_CHAR_ARG_LEN (1))); | |
| 1747 | |
| 1748 if (info != 0) | |
| 1749 rcon = 0; | |
| 1750 } | |
| 1751 else if (typ == MatrixType::Permuted_Upper) | |
| 1752 (*current_liboctave_error_handler) | |
| 1753 ("permuted triangular matrix not implemented"); | |
| 1754 else if (typ == MatrixType::Lower) | |
| 1755 { | |
| 1756 const FloatComplex *tmp_data = fortran_vec (); | |
| 1757 octave_idx_type info = 0; | |
| 1758 char norm = '1'; | |
| 1759 char uplo = 'L'; | |
| 1760 char dia = 'N'; | |
| 1761 | |
| 1762 Array<FloatComplex> z (dim_vector (2 * nc, 1)); | |
| 1763 FloatComplex *pz = z.fortran_vec (); | |
| 1764 Array<float> rz (dim_vector (nc, 1)); | |
| 1765 float *prz = rz.fortran_vec (); | |
| 1766 | |
| 1767 F77_XFCN (ctrcon, CTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), | |
| 1768 F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1769 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 1770 nr, tmp_data, nr, rcon, | |
| 1771 pz, prz, info | |
| 1772 F77_CHAR_ARG_LEN (1) | |
| 1773 F77_CHAR_ARG_LEN (1) | |
| 1774 F77_CHAR_ARG_LEN (1))); | |
| 1775 | |
| 1776 if (info != 0) | |
| 1777 rcon = 0.0; | |
| 1778 } | |
| 1779 else if (typ == MatrixType::Permuted_Lower) | |
| 1780 (*current_liboctave_error_handler) | |
| 1781 ("permuted triangular matrix not implemented"); | |
| 1782 else if (typ == MatrixType::Full || typ == MatrixType::Hermitian) | |
| 1783 { | |
| 1784 float anorm = -1.0; | |
| 1785 FloatComplexMatrix atmp = *this; | |
| 1786 FloatComplex *tmp_data = atmp.fortran_vec (); | |
| 1787 | |
| 1788 if (typ == MatrixType::Hermitian) | |
| 1789 { | |
| 1790 octave_idx_type info = 0; | |
| 1791 char job = 'L'; | |
| 1792 anorm = atmp.abs ().sum (). | |
| 1793 row(static_cast<octave_idx_type>(0)).max (); | |
| 1794 | |
| 1795 F77_XFCN (cpotrf, CPOTRF, (F77_CONST_CHAR_ARG2 (&job, 1), nr, | |
| 1796 tmp_data, nr, info | |
| 1797 F77_CHAR_ARG_LEN (1))); | |
| 1798 | |
| 1799 if (info != 0) | |
| 1800 { | |
| 1801 rcon = 0.0; | |
| 1802 | |
| 1803 mattype.mark_as_unsymmetric (); | |
| 1804 typ = MatrixType::Full; | |
| 1805 } | |
| 1806 else | |
| 1807 { | |
| 1808 Array<FloatComplex> z (dim_vector (2 * nc, 1)); | |
| 1809 FloatComplex *pz = z.fortran_vec (); | |
| 1810 Array<float> rz (dim_vector (nc, 1)); | |
| 1811 float *prz = rz.fortran_vec (); | |
| 1812 | |
| 1813 F77_XFCN (cpocon, CPOCON, (F77_CONST_CHAR_ARG2 (&job, 1), | |
| 1814 nr, tmp_data, nr, anorm, | |
| 1815 rcon, pz, prz, info | |
| 1816 F77_CHAR_ARG_LEN (1))); | |
| 1817 | |
| 1818 if (info != 0) | |
| 1819 rcon = 0.0; | |
| 1820 } | |
| 1821 } | |
| 1822 | |
| 1823 | |
| 1824 if (typ == MatrixType::Full) | |
| 1825 { | |
| 1826 octave_idx_type info = 0; | |
| 1827 | |
| 1828 Array<octave_idx_type> ipvt (dim_vector (nr, 1)); | |
| 1829 octave_idx_type *pipvt = ipvt.fortran_vec (); | |
| 1830 | |
| 1831 if (anorm < 0.) | |
| 1832 anorm = atmp.abs ().sum (). | |
| 1833 row(static_cast<octave_idx_type>(0)).max (); | |
| 1834 | |
| 1835 Array<FloatComplex> z (dim_vector (2 * nc, 1)); | |
| 1836 FloatComplex *pz = z.fortran_vec (); | |
| 1837 Array<float> rz (dim_vector (2 * nc, 1)); | |
| 1838 float *prz = rz.fortran_vec (); | |
| 1839 | |
| 1840 F77_XFCN (cgetrf, CGETRF, (nr, nr, tmp_data, nr, pipvt, info)); | |
| 1841 | |
| 1842 if (info != 0) | |
| 1843 { | |
| 1844 rcon = 0.0; | |
| 1845 mattype.mark_as_rectangular (); | |
| 1846 } | |
| 1847 else | |
| 1848 { | |
| 1849 char job = '1'; | |
| 1850 F77_XFCN (cgecon, CGECON, (F77_CONST_CHAR_ARG2 (&job, 1), | |
| 1851 nc, tmp_data, nr, anorm, | |
| 1852 rcon, pz, prz, info | |
| 1853 F77_CHAR_ARG_LEN (1))); | |
| 1854 | |
| 1855 if (info != 0) | |
| 1856 rcon = 0.0; | |
| 1857 } | |
| 1858 } | |
| 1859 } | |
| 1860 else | |
| 1861 rcon = 0.0; | |
| 1862 } | |
| 1863 | |
| 1864 return rcon; | |
| 1865 } | |
| 1866 | |
| 1867 FloatComplexMatrix | |
| 1868 FloatComplexMatrix::utsolve (MatrixType &mattype, const FloatComplexMatrix& b, | |
| 1869 octave_idx_type& info, float& rcon, | |
| 1870 solve_singularity_handler sing_handler, | |
| 1871 bool calc_cond, blas_trans_type transt) const | |
| 1872 { | |
| 1873 FloatComplexMatrix retval; | |
| 1874 | |
| 1875 octave_idx_type nr = rows (); | |
| 1876 octave_idx_type nc = cols (); | |
| 1877 | |
| 1878 if (nr != b.rows ()) | |
| 1879 (*current_liboctave_error_handler) | |
| 1880 ("matrix dimension mismatch solution of linear equations"); | |
| 1881 else if (nr == 0 || nc == 0 || b.cols () == 0) | |
| 1882 retval = FloatComplexMatrix (nc, b.cols (), FloatComplex (0.0, 0.0)); | |
| 1883 else | |
| 1884 { | |
| 1885 volatile int typ = mattype.type (); | |
| 1886 | |
| 1887 if (typ == MatrixType::Permuted_Upper || | |
| 1888 typ == MatrixType::Upper) | |
| 1889 { | |
| 1890 octave_idx_type b_nc = b.cols (); | |
| 1891 rcon = 1.; | |
| 1892 info = 0; | |
| 1893 | |
| 1894 if (typ == MatrixType::Permuted_Upper) | |
| 1895 { | |
| 1896 (*current_liboctave_error_handler) | |
| 1897 ("permuted triangular matrix not implemented"); | |
| 1898 } | |
| 1899 else | |
| 1900 { | |
| 1901 const FloatComplex *tmp_data = fortran_vec (); | |
| 1902 | |
| 1903 if (calc_cond) | |
| 1904 { | |
| 1905 char norm = '1'; | |
| 1906 char uplo = 'U'; | |
| 1907 char dia = 'N'; | |
| 1908 | |
| 1909 Array<FloatComplex> z (dim_vector (2 * nc, 1)); | |
| 1910 FloatComplex *pz = z.fortran_vec (); | |
| 1911 Array<float> rz (dim_vector (nc, 1)); | |
| 1912 float *prz = rz.fortran_vec (); | |
| 1913 | |
| 1914 F77_XFCN (ctrcon, CTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), | |
| 1915 F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1916 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 1917 nr, tmp_data, nr, rcon, | |
| 1918 pz, prz, info | |
| 1919 F77_CHAR_ARG_LEN (1) | |
| 1920 F77_CHAR_ARG_LEN (1) | |
| 1921 F77_CHAR_ARG_LEN (1))); | |
| 1922 | |
| 1923 if (info != 0) | |
| 1924 info = -2; | |
| 1925 | |
| 1926 volatile float rcond_plus_one = rcon + 1.0; | |
| 1927 | |
| 1928 if (rcond_plus_one == 1.0 || xisnan (rcon)) | |
| 1929 { | |
| 1930 info = -2; | |
| 1931 | |
| 1932 if (sing_handler) | |
| 1933 sing_handler (rcon); | |
| 1934 else | |
| 1935 (*current_liboctave_error_handler) | |
| 1936 ("matrix singular to machine precision, rcond = %g", | |
| 1937 rcon); | |
| 1938 } | |
| 1939 } | |
| 1940 | |
| 1941 if (info == 0) | |
| 1942 { | |
| 1943 retval = b; | |
| 1944 FloatComplex *result = retval.fortran_vec (); | |
| 1945 | |
| 1946 char uplo = 'U'; | |
| 1947 char trans = get_blas_char (transt); | |
| 1948 char dia = 'N'; | |
| 1949 | |
| 1950 F77_XFCN (ctrtrs, CTRTRS, (F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1951 F77_CONST_CHAR_ARG2 (&trans, 1), | |
| 1952 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 1953 nr, b_nc, tmp_data, nr, | |
| 1954 result, nr, info | |
| 1955 F77_CHAR_ARG_LEN (1) | |
| 1956 F77_CHAR_ARG_LEN (1) | |
| 1957 F77_CHAR_ARG_LEN (1))); | |
| 1958 } | |
| 1959 } | |
| 1960 } | |
| 1961 else | |
| 1962 (*current_liboctave_error_handler) ("incorrect matrix type"); | |
| 1963 } | |
| 1964 | |
| 1965 return retval; | |
| 1966 } | |
| 1967 | |
| 1968 FloatComplexMatrix | |
| 1969 FloatComplexMatrix::ltsolve (MatrixType &mattype, const FloatComplexMatrix& b, | |
| 1970 octave_idx_type& info, float& rcon, | |
| 1971 solve_singularity_handler sing_handler, | |
| 1972 bool calc_cond, blas_trans_type transt) const | |
| 1973 { | |
| 1974 FloatComplexMatrix retval; | |
| 1975 | |
| 1976 octave_idx_type nr = rows (); | |
| 1977 octave_idx_type nc = cols (); | |
| 1978 | |
| 1979 if (nr != b.rows ()) | |
| 1980 (*current_liboctave_error_handler) | |
| 1981 ("matrix dimension mismatch solution of linear equations"); | |
| 1982 else if (nr == 0 || nc == 0 || b.cols () == 0) | |
| 1983 retval = FloatComplexMatrix (nc, b.cols (), FloatComplex (0.0, 0.0)); | |
| 1984 else | |
| 1985 { | |
| 1986 volatile int typ = mattype.type (); | |
| 1987 | |
| 1988 if (typ == MatrixType::Permuted_Lower || | |
| 1989 typ == MatrixType::Lower) | |
| 1990 { | |
| 1991 octave_idx_type b_nc = b.cols (); | |
| 1992 rcon = 1.; | |
| 1993 info = 0; | |
| 1994 | |
| 1995 if (typ == MatrixType::Permuted_Lower) | |
| 1996 { | |
| 1997 (*current_liboctave_error_handler) | |
| 1998 ("permuted triangular matrix not implemented"); | |
| 1999 } | |
| 2000 else | |
| 2001 { | |
| 2002 const FloatComplex *tmp_data = fortran_vec (); | |
| 2003 | |
| 2004 if (calc_cond) | |
| 2005 { | |
| 2006 char norm = '1'; | |
| 2007 char uplo = 'L'; | |
| 2008 char dia = 'N'; | |
| 2009 | |
| 2010 Array<FloatComplex> z (dim_vector (2 * nc, 1)); | |
| 2011 FloatComplex *pz = z.fortran_vec (); | |
| 2012 Array<float> rz (dim_vector (nc, 1)); | |
| 2013 float *prz = rz.fortran_vec (); | |
| 2014 | |
| 2015 F77_XFCN (ctrcon, CTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), | |
| 2016 F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 2017 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 2018 nr, tmp_data, nr, rcon, | |
| 2019 pz, prz, info | |
| 2020 F77_CHAR_ARG_LEN (1) | |
| 2021 F77_CHAR_ARG_LEN (1) | |
| 2022 F77_CHAR_ARG_LEN (1))); | |
| 2023 | |
| 2024 if (info != 0) | |
| 2025 info = -2; | |
| 2026 | |
| 2027 volatile float rcond_plus_one = rcon + 1.0; | |
| 2028 | |
| 2029 if (rcond_plus_one == 1.0 || xisnan (rcon)) | |
| 2030 { | |
| 2031 info = -2; | |
| 2032 | |
| 2033 if (sing_handler) | |
| 2034 sing_handler (rcon); | |
| 2035 else | |
| 2036 (*current_liboctave_error_handler) | |
| 2037 ("matrix singular to machine precision, rcond = %g", | |
| 2038 rcon); | |
| 2039 } | |
| 2040 } | |
| 2041 | |
| 2042 if (info == 0) | |
| 2043 { | |
| 2044 retval = b; | |
| 2045 FloatComplex *result = retval.fortran_vec (); | |
| 2046 | |
| 2047 char uplo = 'L'; | |
| 2048 char trans = get_blas_char (transt); | |
| 2049 char dia = 'N'; | |
| 2050 | |
| 2051 F77_XFCN (ctrtrs, CTRTRS, (F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 2052 F77_CONST_CHAR_ARG2 (&trans, 1), | |
| 2053 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 2054 nr, b_nc, tmp_data, nr, | |
| 2055 result, nr, info | |
| 2056 F77_CHAR_ARG_LEN (1) | |
| 2057 F77_CHAR_ARG_LEN (1) | |
| 2058 F77_CHAR_ARG_LEN (1))); | |
| 2059 } | |
| 2060 } | |
| 2061 } | |
| 2062 else | |
| 2063 (*current_liboctave_error_handler) ("incorrect matrix type"); | |
| 2064 } | |
| 2065 | |
| 2066 return retval; | |
| 2067 } | |
| 2068 | |
| 2069 FloatComplexMatrix | |
| 2070 FloatComplexMatrix::fsolve (MatrixType &mattype, const FloatComplexMatrix& b, | |
| 2071 octave_idx_type& info, float& rcon, | |
| 2072 solve_singularity_handler sing_handler, | |
| 2073 bool calc_cond) const | |
| 2074 { | |
| 2075 FloatComplexMatrix retval; | |
| 2076 | |
| 2077 octave_idx_type nr = rows (); | |
| 2078 octave_idx_type nc = cols (); | |
| 2079 | |
| 2080 | |
| 2081 if (nr != nc || nr != b.rows ()) | |
| 2082 (*current_liboctave_error_handler) | |
| 2083 ("matrix dimension mismatch solution of linear equations"); | |
| 2084 else if (nr == 0 || b.cols () == 0) | |
| 2085 retval = FloatComplexMatrix (nc, b.cols (), FloatComplex (0.0, 0.0)); | |
| 2086 else | |
| 2087 { | |
| 2088 volatile int typ = mattype.type (); | |
| 2089 | |
| 2090 // Calculate the norm of the matrix, for later use. | |
| 2091 float anorm = -1.; | |
| 2092 | |
| 2093 if (typ == MatrixType::Hermitian) | |
| 2094 { | |
| 2095 info = 0; | |
| 2096 char job = 'L'; | |
| 2097 FloatComplexMatrix atmp = *this; | |
| 2098 FloatComplex *tmp_data = atmp.fortran_vec (); | |
| 2099 anorm = atmp.abs ().sum ().row (static_cast<octave_idx_type>(0)).max (); | |
| 2100 | |
| 2101 F77_XFCN (cpotrf, CPOTRF, (F77_CONST_CHAR_ARG2 (&job, 1), nr, | |
| 2102 tmp_data, nr, info | |
| 2103 F77_CHAR_ARG_LEN (1))); | |
| 2104 | |
| 2105 // Throw-away extra info LAPACK gives so as to not change output. | |
| 2106 rcon = 0.0; | |
| 2107 if (info != 0) | |
| 2108 { | |
| 2109 info = -2; | |
| 2110 | |
| 2111 mattype.mark_as_unsymmetric (); | |
| 2112 typ = MatrixType::Full; | |
| 2113 } | |
| 2114 else | |
| 2115 { | |
| 2116 if (calc_cond) | |
| 2117 { | |
| 2118 Array<FloatComplex> z (dim_vector (2 * nc, 1)); | |
| 2119 FloatComplex *pz = z.fortran_vec (); | |
| 2120 Array<float> rz (dim_vector (nc, 1)); | |
| 2121 float *prz = rz.fortran_vec (); | |
| 2122 | |
| 2123 F77_XFCN (cpocon, CPOCON, (F77_CONST_CHAR_ARG2 (&job, 1), | |
| 2124 nr, tmp_data, nr, anorm, | |
| 2125 rcon, pz, prz, info | |
| 2126 F77_CHAR_ARG_LEN (1))); | |
| 2127 | |
| 2128 if (info != 0) | |
| 2129 info = -2; | |
| 2130 | |
| 2131 volatile float rcond_plus_one = rcon + 1.0; | |
| 2132 | |
| 2133 if (rcond_plus_one == 1.0 || xisnan (rcon)) | |
| 2134 { | |
| 2135 info = -2; | |
| 2136 | |
| 2137 if (sing_handler) | |
| 2138 sing_handler (rcon); | |
| 2139 else | |
| 2140 (*current_liboctave_error_handler) | |
| 2141 ("matrix singular to machine precision, rcond = %g", | |
| 2142 rcon); | |
| 2143 } | |
| 2144 } | |
| 2145 | |
| 2146 if (info == 0) | |
| 2147 { | |
| 2148 retval = b; | |
| 2149 FloatComplex *result = retval.fortran_vec (); | |
| 2150 | |
| 2151 octave_idx_type b_nc = b.cols (); | |
| 2152 | |
| 2153 F77_XFCN (cpotrs, CPOTRS, (F77_CONST_CHAR_ARG2 (&job, 1), | |
| 2154 nr, b_nc, tmp_data, nr, | |
| 2155 result, b.rows (), info | |
| 2156 F77_CHAR_ARG_LEN (1))); | |
| 2157 } | |
| 2158 else | |
| 2159 { | |
| 2160 mattype.mark_as_unsymmetric (); | |
| 2161 typ = MatrixType::Full; | |
| 2162 } | |
| 2163 } | |
| 2164 } | |
| 2165 | |
| 2166 if (typ == MatrixType::Full) | |
| 2167 { | |
| 2168 info = 0; | |
| 2169 | |
| 2170 Array<octave_idx_type> ipvt (dim_vector (nr, 1)); | |
| 2171 octave_idx_type *pipvt = ipvt.fortran_vec (); | |
| 2172 | |
| 2173 FloatComplexMatrix atmp = *this; | |
| 2174 FloatComplex *tmp_data = atmp.fortran_vec (); | |
| 2175 | |
| 2176 Array<FloatComplex> z (dim_vector (2 * nc, 1)); | |
| 2177 FloatComplex *pz = z.fortran_vec (); | |
| 2178 Array<float> rz (dim_vector (2 * nc, 1)); | |
| 2179 float *prz = rz.fortran_vec (); | |
| 2180 | |
| 2181 // Calculate the norm of the matrix, for later use. | |
| 2182 if (anorm < 0.) | |
| 2183 anorm = atmp.abs ().sum ().row (static_cast<octave_idx_type>(0)).max (); | |
| 2184 | |
| 2185 F77_XFCN (cgetrf, CGETRF, (nr, nr, tmp_data, nr, pipvt, info)); | |
| 2186 | |
| 2187 // Throw-away extra info LAPACK gives so as to not change output. | |
| 2188 rcon = 0.0; | |
| 2189 if (info != 0) | |
| 2190 { | |
| 2191 info = -2; | |
| 2192 | |
| 2193 if (sing_handler) | |
| 2194 sing_handler (rcon); | |
| 2195 else | |
| 2196 (*current_liboctave_error_handler) | |
| 2197 ("matrix singular to machine precision"); | |
| 2198 | |
| 2199 mattype.mark_as_rectangular (); | |
| 2200 } | |
| 2201 else | |
| 2202 { | |
| 2203 if (calc_cond) | |
| 2204 { | |
| 2205 // Now calculate the condition number for | |
| 2206 // non-singular matrix. | |
| 2207 char job = '1'; | |
| 2208 F77_XFCN (cgecon, CGECON, (F77_CONST_CHAR_ARG2 (&job, 1), | |
| 2209 nc, tmp_data, nr, anorm, | |
| 2210 rcon, pz, prz, info | |
| 2211 F77_CHAR_ARG_LEN (1))); | |
| 2212 | |
| 2213 if (info != 0) | |
| 2214 info = -2; | |
| 2215 | |
| 2216 volatile float rcond_plus_one = rcon + 1.0; | |
| 2217 | |
| 2218 if (rcond_plus_one == 1.0 || xisnan (rcon)) | |
| 2219 { | |
| 2220 info = -2; | |
| 2221 | |
| 2222 if (sing_handler) | |
| 2223 sing_handler (rcon); | |
| 2224 else | |
| 2225 (*current_liboctave_error_handler) | |
| 2226 ("matrix singular to machine precision, rcond = %g", | |
| 2227 rcon); | |
| 2228 } | |
| 2229 } | |
| 2230 | |
| 2231 if (info == 0) | |
| 2232 { | |
| 2233 retval = b; | |
| 2234 FloatComplex *result = retval.fortran_vec (); | |
| 2235 | |
| 2236 octave_idx_type b_nc = b.cols (); | |
| 2237 | |
| 2238 char job = 'N'; | |
| 2239 F77_XFCN (cgetrs, CGETRS, (F77_CONST_CHAR_ARG2 (&job, 1), | |
| 2240 nr, b_nc, tmp_data, nr, | |
| 2241 pipvt, result, b.rows (), info | |
| 2242 F77_CHAR_ARG_LEN (1))); | |
| 2243 } | |
| 2244 else | |
| 2245 mattype.mark_as_rectangular (); | |
| 2246 } | |
| 2247 } | |
| 2248 } | |
| 2249 | |
| 2250 return retval; | |
| 2251 } | |
| 2252 | |
| 2253 FloatComplexMatrix | |
| 2254 FloatComplexMatrix::solve (MatrixType &typ, const FloatMatrix& b) const | |
| 2255 { | |
| 2256 octave_idx_type info; | |
| 2257 float rcon; | |
| 2258 return solve (typ, b, info, rcon, 0); | |
| 2259 } | |
| 2260 | |
| 2261 FloatComplexMatrix | |
| 2262 FloatComplexMatrix::solve (MatrixType &typ, const FloatMatrix& b, | |
| 2263 octave_idx_type& info) const | |
| 2264 { | |
| 2265 float rcon; | |
| 2266 return solve (typ, b, info, rcon, 0); | |
| 2267 } | |
| 2268 | |
| 2269 FloatComplexMatrix | |
| 2270 FloatComplexMatrix::solve (MatrixType &typ, const FloatMatrix& b, octave_idx_type& info, | |
| 2271 float& rcon) const | |
| 2272 { | |
| 2273 return solve (typ, b, info, rcon, 0); | |
| 2274 } | |
| 2275 | |
| 2276 FloatComplexMatrix | |
| 2277 FloatComplexMatrix::solve (MatrixType &typ, const FloatMatrix& b, octave_idx_type& info, | |
| 2278 float& rcon, solve_singularity_handler sing_handler, | |
| 2279 bool singular_fallback, blas_trans_type transt) const | |
| 2280 { | |
| 2281 FloatComplexMatrix tmp (b); | |
| 2282 return solve (typ, tmp, info, rcon, sing_handler, singular_fallback, transt); | |
| 2283 } | |
| 2284 | |
| 2285 FloatComplexMatrix | |
| 2286 FloatComplexMatrix::solve (MatrixType &typ, const FloatComplexMatrix& b) const | |
| 2287 { | |
| 2288 octave_idx_type info; | |
| 2289 float rcon; | |
| 2290 return solve (typ, b, info, rcon, 0); | |
| 2291 } | |
| 2292 | |
| 2293 FloatComplexMatrix | |
| 2294 FloatComplexMatrix::solve (MatrixType &typ, const FloatComplexMatrix& b, | |
| 2295 octave_idx_type& info) const | |
| 2296 { | |
| 2297 float rcon; | |
| 2298 return solve (typ, b, info, rcon, 0); | |
| 2299 } | |
| 2300 | |
| 2301 FloatComplexMatrix | |
| 2302 FloatComplexMatrix::solve (MatrixType &typ, const FloatComplexMatrix& b, | |
| 2303 octave_idx_type& info, float& rcon) const | |
| 2304 { | |
| 2305 return solve (typ, b, info, rcon, 0); | |
| 2306 } | |
| 2307 | |
| 2308 FloatComplexMatrix | |
| 2309 FloatComplexMatrix::solve (MatrixType &mattype, const FloatComplexMatrix& b, | |
| 2310 octave_idx_type& info, float& rcon, | |
| 2311 solve_singularity_handler sing_handler, | |
| 2312 bool singular_fallback, blas_trans_type transt) const | |
| 2313 { | |
| 2314 FloatComplexMatrix retval; | |
| 2315 int typ = mattype.type (); | |
| 2316 | |
| 2317 if (typ == MatrixType::Unknown) | |
| 2318 typ = mattype.type (*this); | |
| 2319 | |
| 2320 // Only calculate the condition number for LU/Cholesky | |
| 2321 if (typ == MatrixType::Upper || typ == MatrixType::Permuted_Upper) | |
| 2322 retval = utsolve (mattype, b, info, rcon, sing_handler, false, transt); | |
| 2323 else if (typ == MatrixType::Lower || typ == MatrixType::Permuted_Lower) | |
| 2324 retval = ltsolve (mattype, b, info, rcon, sing_handler, false, transt); | |
| 2325 else if (transt == blas_trans) | |
| 2326 return transpose ().solve (mattype, b, info, rcon, sing_handler, singular_fallback); | |
| 2327 else if (transt == blas_conj_trans) | |
| 2328 retval = hermitian ().solve (mattype, b, info, rcon, sing_handler, singular_fallback); | |
| 2329 else if (typ == MatrixType::Full || typ == MatrixType::Hermitian) | |
| 2330 retval = fsolve (mattype, b, info, rcon, sing_handler, true); | |
| 2331 else if (typ != MatrixType::Rectangular) | |
| 2332 { | |
| 2333 (*current_liboctave_error_handler) ("unknown matrix type"); | |
| 2334 return FloatComplexMatrix (); | |
| 2335 } | |
| 2336 | |
| 2337 // Rectangular or one of the above solvers flags a singular matrix | |
| 2338 if (singular_fallback && mattype.type () == MatrixType::Rectangular) | |
| 2339 { | |
| 2340 octave_idx_type rank; | |
| 2341 retval = lssolve (b, info, rank, rcon); | |
| 2342 } | |
| 2343 | |
| 2344 return retval; | |
| 2345 } | |
| 2346 | |
| 2347 FloatComplexColumnVector | |
| 2348 FloatComplexMatrix::solve (MatrixType &typ, const FloatColumnVector& b) const | |
| 2349 { | |
| 2350 octave_idx_type info; | |
| 2351 float rcon; | |
| 2352 return solve (typ, FloatComplexColumnVector (b), info, rcon, 0); | |
| 2353 } | |
| 2354 | |
| 2355 FloatComplexColumnVector | |
| 2356 FloatComplexMatrix::solve (MatrixType &typ, const FloatColumnVector& b, | |
| 2357 octave_idx_type& info) const | |
| 2358 { | |
| 2359 float rcon; | |
| 2360 return solve (typ, FloatComplexColumnVector (b), info, rcon, 0); | |
| 2361 } | |
| 2362 | |
| 2363 FloatComplexColumnVector | |
| 2364 FloatComplexMatrix::solve (MatrixType &typ, const FloatColumnVector& b, | |
| 2365 octave_idx_type& info, float& rcon) const | |
| 2366 { | |
| 2367 return solve (typ, FloatComplexColumnVector (b), info, rcon, 0); | |
| 2368 } | |
| 2369 | |
| 2370 FloatComplexColumnVector | |
| 2371 FloatComplexMatrix::solve (MatrixType &typ, const FloatColumnVector& b, | |
| 2372 octave_idx_type& info, float& rcon, | |
| 2373 solve_singularity_handler sing_handler, blas_trans_type transt) const | |
| 2374 { | |
| 2375 return solve (typ, FloatComplexColumnVector (b), info, rcon, sing_handler, transt); | |
| 2376 } | |
| 2377 | |
| 2378 FloatComplexColumnVector | |
| 2379 FloatComplexMatrix::solve (MatrixType &typ, const FloatComplexColumnVector& b) const | |
| 2380 { | |
| 2381 octave_idx_type info; | |
| 2382 float rcon; | |
| 2383 return solve (typ, b, info, rcon, 0); | |
| 2384 } | |
| 2385 | |
| 2386 FloatComplexColumnVector | |
| 2387 FloatComplexMatrix::solve (MatrixType &typ, const FloatComplexColumnVector& b, | |
| 2388 octave_idx_type& info) const | |
| 2389 { | |
| 2390 float rcon; | |
| 2391 return solve (typ, b, info, rcon, 0); | |
| 2392 } | |
| 2393 | |
| 2394 FloatComplexColumnVector | |
| 2395 FloatComplexMatrix::solve (MatrixType &typ, const FloatComplexColumnVector& b, | |
| 2396 octave_idx_type& info, float& rcon) const | |
| 2397 { | |
| 2398 return solve (typ, b, info, rcon, 0); | |
| 2399 } | |
| 2400 | |
| 2401 FloatComplexColumnVector | |
| 2402 FloatComplexMatrix::solve (MatrixType &typ, const FloatComplexColumnVector& b, | |
| 2403 octave_idx_type& info, float& rcon, | |
| 2404 solve_singularity_handler sing_handler, blas_trans_type transt) const | |
| 2405 { | |
| 2406 | |
| 2407 FloatComplexMatrix tmp (b); | |
| 2408 tmp = solve (typ, tmp, info, rcon, sing_handler, true, transt); | |
| 2409 return tmp.column (static_cast<octave_idx_type> (0)); | |
| 2410 } | |
| 2411 | |
| 2412 FloatComplexMatrix | |
| 2413 FloatComplexMatrix::solve (const FloatMatrix& b) const | |
| 2414 { | |
| 2415 octave_idx_type info; | |
| 2416 float rcon; | |
| 2417 return solve (b, info, rcon, 0); | |
| 2418 } | |
| 2419 | |
| 2420 FloatComplexMatrix | |
| 2421 FloatComplexMatrix::solve (const FloatMatrix& b, octave_idx_type& info) const | |
| 2422 { | |
| 2423 float rcon; | |
| 2424 return solve (b, info, rcon, 0); | |
| 2425 } | |
| 2426 | |
| 2427 FloatComplexMatrix | |
| 2428 FloatComplexMatrix::solve (const FloatMatrix& b, octave_idx_type& info, float& rcon) const | |
| 2429 { | |
| 2430 return solve (b, info, rcon, 0); | |
| 2431 } | |
| 2432 | |
| 2433 FloatComplexMatrix | |
| 2434 FloatComplexMatrix::solve (const FloatMatrix& b, octave_idx_type& info, float& rcon, | |
| 2435 solve_singularity_handler sing_handler, blas_trans_type transt) const | |
| 2436 { | |
| 2437 FloatComplexMatrix tmp (b); | |
| 2438 return solve (tmp, info, rcon, sing_handler, transt); | |
| 2439 } | |
| 2440 | |
| 2441 FloatComplexMatrix | |
| 2442 FloatComplexMatrix::solve (const FloatComplexMatrix& b) const | |
| 2443 { | |
| 2444 octave_idx_type info; | |
| 2445 float rcon; | |
| 2446 return solve (b, info, rcon, 0); | |
| 2447 } | |
| 2448 | |
| 2449 FloatComplexMatrix | |
| 2450 FloatComplexMatrix::solve (const FloatComplexMatrix& b, octave_idx_type& info) const | |
| 2451 { | |
| 2452 float rcon; | |
| 2453 return solve (b, info, rcon, 0); | |
| 2454 } | |
| 2455 | |
| 2456 FloatComplexMatrix | |
| 2457 FloatComplexMatrix::solve (const FloatComplexMatrix& b, octave_idx_type& info, float& rcon) const | |
| 2458 { | |
| 2459 return solve (b, info, rcon, 0); | |
| 2460 } | |
| 2461 | |
| 2462 FloatComplexMatrix | |
| 2463 FloatComplexMatrix::solve (const FloatComplexMatrix& b, octave_idx_type& info, float& rcon, | |
| 2464 solve_singularity_handler sing_handler, blas_trans_type transt) const | |
| 2465 { | |
| 2466 MatrixType mattype (*this); | |
| 2467 return solve (mattype, b, info, rcon, sing_handler, true, transt); | |
| 2468 } | |
| 2469 | |
| 2470 FloatComplexColumnVector | |
| 2471 FloatComplexMatrix::solve (const FloatColumnVector& b) const | |
| 2472 { | |
| 2473 octave_idx_type info; | |
| 2474 float rcon; | |
| 2475 return solve (FloatComplexColumnVector (b), info, rcon, 0); | |
| 2476 } | |
| 2477 | |
| 2478 FloatComplexColumnVector | |
| 2479 FloatComplexMatrix::solve (const FloatColumnVector& b, octave_idx_type& info) const | |
| 2480 { | |
| 2481 float rcon; | |
| 2482 return solve (FloatComplexColumnVector (b), info, rcon, 0); | |
| 2483 } | |
| 2484 | |
| 2485 FloatComplexColumnVector | |
| 2486 FloatComplexMatrix::solve (const FloatColumnVector& b, octave_idx_type& info, | |
| 2487 float& rcon) const | |
| 2488 { | |
| 2489 return solve (FloatComplexColumnVector (b), info, rcon, 0); | |
| 2490 } | |
| 2491 | |
| 2492 FloatComplexColumnVector | |
| 2493 FloatComplexMatrix::solve (const FloatColumnVector& b, octave_idx_type& info, | |
| 2494 float& rcon, | |
| 2495 solve_singularity_handler sing_handler, blas_trans_type transt) const | |
| 2496 { | |
| 2497 return solve (FloatComplexColumnVector (b), info, rcon, sing_handler, transt); | |
| 2498 } | |
| 2499 | |
| 2500 FloatComplexColumnVector | |
| 2501 FloatComplexMatrix::solve (const FloatComplexColumnVector& b) const | |
| 2502 { | |
| 2503 octave_idx_type info; | |
| 2504 float rcon; | |
| 2505 return solve (b, info, rcon, 0); | |
| 2506 } | |
| 2507 | |
| 2508 FloatComplexColumnVector | |
| 2509 FloatComplexMatrix::solve (const FloatComplexColumnVector& b, octave_idx_type& info) const | |
| 2510 { | |
| 2511 float rcon; | |
| 2512 return solve (b, info, rcon, 0); | |
| 2513 } | |
| 2514 | |
| 2515 FloatComplexColumnVector | |
| 2516 FloatComplexMatrix::solve (const FloatComplexColumnVector& b, octave_idx_type& info, | |
| 2517 float& rcon) const | |
| 2518 { | |
| 2519 return solve (b, info, rcon, 0); | |
| 2520 } | |
| 2521 | |
| 2522 FloatComplexColumnVector | |
| 2523 FloatComplexMatrix::solve (const FloatComplexColumnVector& b, octave_idx_type& info, | |
| 2524 float& rcon, | |
| 2525 solve_singularity_handler sing_handler, blas_trans_type transt) const | |
| 2526 { | |
| 2527 MatrixType mattype (*this); | |
| 2528 return solve (mattype, b, info, rcon, sing_handler, transt); | |
| 2529 } | |
| 2530 | |
| 2531 FloatComplexMatrix | |
| 2532 FloatComplexMatrix::lssolve (const FloatMatrix& b) const | |
| 2533 { | |
| 2534 octave_idx_type info; | |
| 2535 octave_idx_type rank; | |
| 2536 float rcon; | |
| 2537 return lssolve (FloatComplexMatrix (b), info, rank, rcon); | |
| 2538 } | |
| 2539 | |
| 2540 FloatComplexMatrix | |
| 2541 FloatComplexMatrix::lssolve (const FloatMatrix& b, octave_idx_type& info) const | |
| 2542 { | |
| 2543 octave_idx_type rank; | |
| 2544 float rcon; | |
| 2545 return lssolve (FloatComplexMatrix (b), info, rank, rcon); | |
| 2546 } | |
| 2547 | |
| 2548 FloatComplexMatrix | |
| 2549 FloatComplexMatrix::lssolve (const FloatMatrix& b, octave_idx_type& info, | |
| 2550 octave_idx_type& rank) const | |
| 2551 { | |
| 2552 float rcon; | |
| 2553 return lssolve (FloatComplexMatrix (b), info, rank, rcon); | |
| 2554 } | |
| 2555 | |
| 2556 FloatComplexMatrix | |
| 2557 FloatComplexMatrix::lssolve (const FloatMatrix& b, octave_idx_type& info, | |
| 2558 octave_idx_type& rank, float& rcon) const | |
| 2559 { | |
| 2560 return lssolve (FloatComplexMatrix (b), info, rank, rcon); | |
| 2561 } | |
| 2562 | |
| 2563 FloatComplexMatrix | |
| 2564 FloatComplexMatrix::lssolve (const FloatComplexMatrix& b) const | |
| 2565 { | |
| 2566 octave_idx_type info; | |
| 2567 octave_idx_type rank; | |
| 2568 float rcon; | |
| 2569 return lssolve (b, info, rank, rcon); | |
| 2570 } | |
| 2571 | |
| 2572 FloatComplexMatrix | |
| 2573 FloatComplexMatrix::lssolve (const FloatComplexMatrix& b, octave_idx_type& info) const | |
| 2574 { | |
| 2575 octave_idx_type rank; | |
| 2576 float rcon; | |
| 2577 return lssolve (b, info, rank, rcon); | |
| 2578 } | |
| 2579 | |
| 2580 FloatComplexMatrix | |
| 2581 FloatComplexMatrix::lssolve (const FloatComplexMatrix& b, octave_idx_type& info, | |
| 2582 octave_idx_type& rank) const | |
| 2583 { | |
| 2584 float rcon; | |
| 2585 return lssolve (b, info, rank, rcon); | |
| 2586 } | |
| 2587 | |
| 2588 FloatComplexMatrix | |
| 2589 FloatComplexMatrix::lssolve (const FloatComplexMatrix& b, octave_idx_type& info, | |
| 2590 octave_idx_type& rank, float& rcon) const | |
| 2591 { | |
| 2592 FloatComplexMatrix retval; | |
| 2593 | |
| 2594 octave_idx_type nrhs = b.cols (); | |
| 2595 | |
| 2596 octave_idx_type m = rows (); | |
| 2597 octave_idx_type n = cols (); | |
| 2598 | |
| 2599 if (m != b.rows ()) | |
| 2600 (*current_liboctave_error_handler) | |
| 2601 ("matrix dimension mismatch solution of linear equations"); | |
| 2602 else if (m== 0 || n == 0 || b.cols () == 0) | |
| 2603 retval = FloatComplexMatrix (n, b.cols (), FloatComplex (0.0, 0.0)); | |
| 2604 else | |
| 2605 { | |
| 2606 volatile octave_idx_type minmn = (m < n ? m : n); | |
| 2607 octave_idx_type maxmn = m > n ? m : n; | |
| 2608 rcon = -1.0; | |
| 2609 | |
| 2610 if (m != n) | |
| 2611 { | |
| 2612 retval = FloatComplexMatrix (maxmn, nrhs); | |
| 2613 | |
| 2614 for (octave_idx_type j = 0; j < nrhs; j++) | |
| 2615 for (octave_idx_type i = 0; i < m; i++) | |
| 2616 retval.elem (i, j) = b.elem (i, j); | |
| 2617 } | |
| 2618 else | |
| 2619 retval = b; | |
| 2620 | |
| 2621 FloatComplexMatrix atmp = *this; | |
| 2622 FloatComplex *tmp_data = atmp.fortran_vec (); | |
| 2623 | |
| 2624 FloatComplex *pretval = retval.fortran_vec (); | |
| 2625 Array<float> s (dim_vector (minmn, 1)); | |
| 2626 float *ps = s.fortran_vec (); | |
| 2627 | |
| 2628 // Ask ZGELSD what the dimension of WORK should be. | |
| 2629 octave_idx_type lwork = -1; | |
| 2630 | |
| 2631 Array<FloatComplex> work (dim_vector (1, 1)); | |
| 2632 | |
| 2633 octave_idx_type smlsiz; | |
| 2634 F77_FUNC (xilaenv, XILAENV) (9, F77_CONST_CHAR_ARG2 ("CGELSD", 6), | |
| 2635 F77_CONST_CHAR_ARG2 (" ", 1), | |
| 2636 0, 0, 0, 0, smlsiz | |
| 2637 F77_CHAR_ARG_LEN (6) | |
| 2638 F77_CHAR_ARG_LEN (1)); | |
| 2639 | |
| 2640 octave_idx_type mnthr; | |
| 2641 F77_FUNC (xilaenv, XILAENV) (6, F77_CONST_CHAR_ARG2 ("CGELSD", 6), | |
| 2642 F77_CONST_CHAR_ARG2 (" ", 1), | |
| 2643 m, n, nrhs, -1, mnthr | |
| 2644 F77_CHAR_ARG_LEN (6) | |
| 2645 F77_CHAR_ARG_LEN (1)); | |
| 2646 | |
| 2647 // We compute the size of rwork and iwork because ZGELSD in | |
| 2648 // older versions of LAPACK does not return them on a query | |
| 2649 // call. | |
| 2650 float dminmn = static_cast<float> (minmn); | |
| 2651 float dsmlsizp1 = static_cast<float> (smlsiz+1); | |
| 2652 #if defined (HAVE_LOG2) | |
| 2653 float tmp = log2 (dminmn / dsmlsizp1); | |
| 2654 #else | |
| 2655 float tmp = log (dminmn / dsmlsizp1) / log (2.0); | |
| 2656 #endif | |
| 2657 octave_idx_type nlvl = static_cast<octave_idx_type> (tmp) + 1; | |
| 2658 if (nlvl < 0) | |
| 2659 nlvl = 0; | |
| 2660 | |
| 2661 octave_idx_type lrwork = minmn*(10 + 2*smlsiz + 8*nlvl) | |
| 2662 + 3*smlsiz*nrhs + std::max ((smlsiz+1)*(smlsiz+1), | |
| 2663 n*(1+nrhs) + 2*nrhs); | |
| 2664 if (lrwork < 1) | |
| 2665 lrwork = 1; | |
| 2666 Array<float> rwork (dim_vector (lrwork, 1)); | |
| 2667 float *prwork = rwork.fortran_vec (); | |
| 2668 | |
| 2669 octave_idx_type liwork = 3 * minmn * nlvl + 11 * minmn; | |
| 2670 if (liwork < 1) | |
| 2671 liwork = 1; | |
| 2672 Array<octave_idx_type> iwork (dim_vector (liwork, 1)); | |
| 2673 octave_idx_type* piwork = iwork.fortran_vec (); | |
| 2674 | |
| 2675 F77_XFCN (cgelsd, CGELSD, (m, n, nrhs, tmp_data, m, pretval, maxmn, | |
| 2676 ps, rcon, rank, work.fortran_vec (), | |
| 2677 lwork, prwork, piwork, info)); | |
| 2678 | |
| 2679 // The workspace query is broken in at least LAPACK 3.0.0 | |
| 2680 // through 3.1.1 when n >= mnthr. The obtuse formula below | |
| 2681 // should provide sufficient workspace for ZGELSD to operate | |
| 2682 // efficiently. | |
| 2683 if (n > m && n >= mnthr) | |
| 2684 { | |
| 2685 octave_idx_type addend = m; | |
| 2686 | |
| 2687 if (2*m-4 > addend) | |
| 2688 addend = 2*m-4; | |
| 2689 | |
| 2690 if (nrhs > addend) | |
| 2691 addend = nrhs; | |
| 2692 | |
| 2693 if (n-3*m > addend) | |
| 2694 addend = n-3*m; | |
| 2695 | |
| 2696 const octave_idx_type lworkaround = 4*m + m*m + addend; | |
| 2697 | |
| 2698 if (std::real (work(0)) < lworkaround) | |
| 2699 work(0) = lworkaround; | |
| 2700 } | |
| 2701 else if (m >= n) | |
| 2702 { | |
| 2703 octave_idx_type lworkaround = 2*m + m*nrhs; | |
| 2704 | |
| 2705 if (std::real (work(0)) < lworkaround) | |
| 2706 work(0) = lworkaround; | |
| 2707 } | |
| 2708 | |
| 2709 lwork = static_cast<octave_idx_type> (std::real (work(0))); | |
| 2710 work.resize (dim_vector (lwork, 1)); | |
| 2711 | |
| 2712 F77_XFCN (cgelsd, CGELSD, (m, n, nrhs, tmp_data, m, pretval, | |
| 2713 maxmn, ps, rcon, rank, | |
| 2714 work.fortran_vec (), lwork, | |
| 2715 prwork, piwork, info)); | |
| 2716 | |
| 2717 if (s.elem (0) == 0.0) | |
| 2718 rcon = 0.0; | |
| 2719 else | |
| 2720 rcon = s.elem (minmn - 1) / s.elem (0); | |
| 2721 | |
| 2722 retval.resize (n, nrhs); | |
| 2723 } | |
| 2724 | |
| 2725 return retval; | |
| 2726 } | |
| 2727 | |
| 2728 FloatComplexColumnVector | |
| 2729 FloatComplexMatrix::lssolve (const FloatColumnVector& b) const | |
| 2730 { | |
| 2731 octave_idx_type info; | |
| 2732 octave_idx_type rank; | |
| 2733 float rcon; | |
| 2734 return lssolve (FloatComplexColumnVector (b), info, rank, rcon); | |
| 2735 } | |
| 2736 | |
| 2737 FloatComplexColumnVector | |
| 2738 FloatComplexMatrix::lssolve (const FloatColumnVector& b, octave_idx_type& info) const | |
| 2739 { | |
| 2740 octave_idx_type rank; | |
| 2741 float rcon; | |
| 2742 return lssolve (FloatComplexColumnVector (b), info, rank, rcon); | |
| 2743 } | |
| 2744 | |
| 2745 FloatComplexColumnVector | |
| 2746 FloatComplexMatrix::lssolve (const FloatColumnVector& b, octave_idx_type& info, | |
| 2747 octave_idx_type& rank) const | |
| 2748 { | |
| 2749 float rcon; | |
| 2750 return lssolve (FloatComplexColumnVector (b), info, rank, rcon); | |
| 2751 } | |
| 2752 | |
| 2753 FloatComplexColumnVector | |
| 2754 FloatComplexMatrix::lssolve (const FloatColumnVector& b, octave_idx_type& info, | |
| 2755 octave_idx_type& rank, float& rcon) const | |
| 2756 { | |
| 2757 return lssolve (FloatComplexColumnVector (b), info, rank, rcon); | |
| 2758 } | |
| 2759 | |
| 2760 FloatComplexColumnVector | |
| 2761 FloatComplexMatrix::lssolve (const FloatComplexColumnVector& b) const | |
| 2762 { | |
| 2763 octave_idx_type info; | |
| 2764 octave_idx_type rank; | |
| 2765 float rcon; | |
| 2766 return lssolve (b, info, rank, rcon); | |
| 2767 } | |
| 2768 | |
| 2769 FloatComplexColumnVector | |
| 2770 FloatComplexMatrix::lssolve (const FloatComplexColumnVector& b, octave_idx_type& info) const | |
| 2771 { | |
| 2772 octave_idx_type rank; | |
| 2773 float rcon; | |
| 2774 return lssolve (b, info, rank, rcon); | |
| 2775 } | |
| 2776 | |
| 2777 FloatComplexColumnVector | |
| 2778 FloatComplexMatrix::lssolve (const FloatComplexColumnVector& b, octave_idx_type& info, | |
| 2779 octave_idx_type& rank) const | |
| 2780 { | |
| 2781 float rcon; | |
| 2782 return lssolve (b, info, rank, rcon); | |
| 2783 | |
| 2784 } | |
| 2785 | |
| 2786 FloatComplexColumnVector | |
| 2787 FloatComplexMatrix::lssolve (const FloatComplexColumnVector& b, octave_idx_type& info, | |
| 2788 octave_idx_type& rank, float& rcon) const | |
| 2789 { | |
| 2790 FloatComplexColumnVector retval; | |
| 2791 | |
| 2792 octave_idx_type nrhs = 1; | |
| 2793 | |
| 2794 octave_idx_type m = rows (); | |
| 2795 octave_idx_type n = cols (); | |
| 2796 | |
| 2797 if (m != b.length ()) | |
| 2798 (*current_liboctave_error_handler) | |
| 2799 ("matrix dimension mismatch solution of linear equations"); | |
| 2800 else if (m == 0 || n == 0 || b.cols () == 0) | |
| 2801 retval = FloatComplexColumnVector (n, FloatComplex (0.0, 0.0)); | |
| 2802 else | |
| 2803 { | |
| 2804 volatile octave_idx_type minmn = (m < n ? m : n); | |
| 2805 octave_idx_type maxmn = m > n ? m : n; | |
| 2806 rcon = -1.0; | |
| 2807 | |
| 2808 if (m != n) | |
| 2809 { | |
| 2810 retval = FloatComplexColumnVector (maxmn); | |
| 2811 | |
| 2812 for (octave_idx_type i = 0; i < m; i++) | |
| 2813 retval.elem (i) = b.elem (i); | |
| 2814 } | |
| 2815 else | |
| 2816 retval = b; | |
| 2817 | |
| 2818 FloatComplexMatrix atmp = *this; | |
| 2819 FloatComplex *tmp_data = atmp.fortran_vec (); | |
| 2820 | |
| 2821 FloatComplex *pretval = retval.fortran_vec (); | |
| 2822 Array<float> s (dim_vector (minmn, 1)); | |
| 2823 float *ps = s.fortran_vec (); | |
| 2824 | |
| 2825 // Ask ZGELSD what the dimension of WORK should be. | |
| 2826 octave_idx_type lwork = -1; | |
| 2827 | |
| 2828 Array<FloatComplex> work (dim_vector (1, 1)); | |
| 2829 | |
| 2830 octave_idx_type smlsiz; | |
| 2831 F77_FUNC (xilaenv, XILAENV) (9, F77_CONST_CHAR_ARG2 ("CGELSD", 6), | |
| 2832 F77_CONST_CHAR_ARG2 (" ", 1), | |
| 2833 0, 0, 0, 0, smlsiz | |
| 2834 F77_CHAR_ARG_LEN (6) | |
| 2835 F77_CHAR_ARG_LEN (1)); | |
| 2836 | |
| 2837 // We compute the size of rwork and iwork because ZGELSD in | |
| 2838 // older versions of LAPACK does not return them on a query | |
| 2839 // call. | |
| 2840 float dminmn = static_cast<float> (minmn); | |
| 2841 float dsmlsizp1 = static_cast<float> (smlsiz+1); | |
| 2842 #if defined (HAVE_LOG2) | |
| 2843 float tmp = log2 (dminmn / dsmlsizp1); | |
| 2844 #else | |
| 2845 float tmp = log (dminmn / dsmlsizp1) / log (2.0); | |
| 2846 #endif | |
| 2847 octave_idx_type nlvl = static_cast<octave_idx_type> (tmp) + 1; | |
| 2848 if (nlvl < 0) | |
| 2849 nlvl = 0; | |
| 2850 | |
| 2851 octave_idx_type lrwork = minmn*(10 + 2*smlsiz + 8*nlvl) | |
| 2852 + 3*smlsiz*nrhs + (smlsiz+1)*(smlsiz+1); | |
| 2853 if (lrwork < 1) | |
| 2854 lrwork = 1; | |
| 2855 Array<float> rwork (dim_vector (lrwork, 1)); | |
| 2856 float *prwork = rwork.fortran_vec (); | |
| 2857 | |
| 2858 octave_idx_type liwork = 3 * minmn * nlvl + 11 * minmn; | |
| 2859 if (liwork < 1) | |
| 2860 liwork = 1; | |
| 2861 Array<octave_idx_type> iwork (dim_vector (liwork, 1)); | |
| 2862 octave_idx_type* piwork = iwork.fortran_vec (); | |
| 2863 | |
| 2864 F77_XFCN (cgelsd, CGELSD, (m, n, nrhs, tmp_data, m, pretval, maxmn, | |
| 2865 ps, rcon, rank, work.fortran_vec (), | |
| 2866 lwork, prwork, piwork, info)); | |
| 2867 | |
| 2868 lwork = static_cast<octave_idx_type> (std::real (work(0))); | |
| 2869 work.resize (dim_vector (lwork, 1)); | |
| 2870 rwork.resize (dim_vector (static_cast<octave_idx_type> (rwork(0)), 1)); | |
| 2871 iwork.resize (dim_vector (iwork(0), 1)); | |
| 2872 | |
| 2873 F77_XFCN (cgelsd, CGELSD, (m, n, nrhs, tmp_data, m, pretval, | |
| 2874 maxmn, ps, rcon, rank, | |
| 2875 work.fortran_vec (), lwork, | |
| 2876 prwork, piwork, info)); | |
| 2877 | |
| 2878 if (rank < minmn) | |
| 2879 { | |
| 2880 if (s.elem (0) == 0.0) | |
| 2881 rcon = 0.0; | |
| 2882 else | |
| 2883 rcon = s.elem (minmn - 1) / s.elem (0); | |
| 2884 | |
| 2885 retval.resize (n, nrhs); | |
| 2886 } | |
| 2887 } | |
| 2888 | |
| 2889 return retval; | |
| 2890 } | |
| 2891 | |
| 2892 // column vector by row vector -> matrix operations | |
| 2893 | |
| 2894 FloatComplexMatrix | |
| 2895 operator * (const FloatColumnVector& v, const FloatComplexRowVector& a) | |
| 2896 { | |
| 2897 FloatComplexColumnVector tmp (v); | |
| 2898 return tmp * a; | |
| 2899 } | |
| 2900 | |
| 2901 FloatComplexMatrix | |
| 2902 operator * (const FloatComplexColumnVector& a, const FloatRowVector& b) | |
| 2903 { | |
| 2904 FloatComplexRowVector tmp (b); | |
| 2905 return a * tmp; | |
| 2906 } | |
| 2907 | |
| 2908 FloatComplexMatrix | |
| 2909 operator * (const FloatComplexColumnVector& v, const FloatComplexRowVector& a) | |
| 2910 { | |
| 2911 FloatComplexMatrix retval; | |
| 2912 | |
| 2913 octave_idx_type len = v.length (); | |
| 2914 | |
| 2915 if (len != 0) | |
| 2916 { | |
| 2917 octave_idx_type a_len = a.length (); | |
| 2918 | |
| 2919 retval = FloatComplexMatrix (len, a_len); | |
| 2920 FloatComplex *c = retval.fortran_vec (); | |
| 2921 | |
| 2922 F77_XFCN (cgemm, CGEMM, (F77_CONST_CHAR_ARG2 ("N", 1), | |
| 2923 F77_CONST_CHAR_ARG2 ("N", 1), | |
| 2924 len, a_len, 1, 1.0, v.data (), len, | |
| 2925 a.data (), 1, 0.0, c, len | |
| 2926 F77_CHAR_ARG_LEN (1) | |
| 2927 F77_CHAR_ARG_LEN (1))); | |
| 2928 } | |
| 2929 | |
| 2930 return retval; | |
| 2931 } | |
| 2932 | |
| 2933 // matrix by diagonal matrix -> matrix operations | |
| 2934 | |
| 2935 FloatComplexMatrix& | |
| 2936 FloatComplexMatrix::operator += (const FloatDiagMatrix& a) | |
| 2937 { | |
| 2938 octave_idx_type nr = rows (); | |
| 2939 octave_idx_type nc = cols (); | |
| 2940 | |
| 2941 octave_idx_type a_nr = rows (); | |
| 2942 octave_idx_type a_nc = cols (); | |
| 2943 | |
| 2944 if (nr != a_nr || nc != a_nc) | |
| 2945 { | |
| 2946 gripe_nonconformant ("operator +=", nr, nc, a_nr, a_nc); | |
| 2947 return *this; | |
| 2948 } | |
| 2949 | |
| 2950 for (octave_idx_type i = 0; i < a.length (); i++) | |
| 2951 elem (i, i) += a.elem (i, i); | |
| 2952 | |
| 2953 return *this; | |
| 2954 } | |
| 2955 | |
| 2956 FloatComplexMatrix& | |
| 2957 FloatComplexMatrix::operator -= (const FloatDiagMatrix& a) | |
| 2958 { | |
| 2959 octave_idx_type nr = rows (); | |
| 2960 octave_idx_type nc = cols (); | |
| 2961 | |
| 2962 octave_idx_type a_nr = rows (); | |
| 2963 octave_idx_type a_nc = cols (); | |
| 2964 | |
| 2965 if (nr != a_nr || nc != a_nc) | |
| 2966 { | |
| 2967 gripe_nonconformant ("operator -=", nr, nc, a_nr, a_nc); | |
| 2968 return *this; | |
| 2969 } | |
| 2970 | |
| 2971 for (octave_idx_type i = 0; i < a.length (); i++) | |
| 2972 elem (i, i) -= a.elem (i, i); | |
| 2973 | |
| 2974 return *this; | |
| 2975 } | |
| 2976 | |
| 2977 FloatComplexMatrix& | |
| 2978 FloatComplexMatrix::operator += (const FloatComplexDiagMatrix& a) | |
| 2979 { | |
| 2980 octave_idx_type nr = rows (); | |
| 2981 octave_idx_type nc = cols (); | |
| 2982 | |
| 2983 octave_idx_type a_nr = rows (); | |
| 2984 octave_idx_type a_nc = cols (); | |
| 2985 | |
| 2986 if (nr != a_nr || nc != a_nc) | |
| 2987 { | |
| 2988 gripe_nonconformant ("operator +=", nr, nc, a_nr, a_nc); | |
| 2989 return *this; | |
| 2990 } | |
| 2991 | |
| 2992 for (octave_idx_type i = 0; i < a.length (); i++) | |
| 2993 elem (i, i) += a.elem (i, i); | |
| 2994 | |
| 2995 return *this; | |
| 2996 } | |
| 2997 | |
| 2998 FloatComplexMatrix& | |
| 2999 FloatComplexMatrix::operator -= (const FloatComplexDiagMatrix& a) | |
| 3000 { | |
| 3001 octave_idx_type nr = rows (); | |
| 3002 octave_idx_type nc = cols (); | |
| 3003 | |
| 3004 octave_idx_type a_nr = rows (); | |
| 3005 octave_idx_type a_nc = cols (); | |
| 3006 | |
| 3007 if (nr != a_nr || nc != a_nc) | |
| 3008 { | |
| 3009 gripe_nonconformant ("operator -=", nr, nc, a_nr, a_nc); | |
| 3010 return *this; | |
| 3011 } | |
| 3012 | |
| 3013 for (octave_idx_type i = 0; i < a.length (); i++) | |
| 3014 elem (i, i) -= a.elem (i, i); | |
| 3015 | |
| 3016 return *this; | |
| 3017 } | |
| 3018 | |
| 3019 // matrix by matrix -> matrix operations | |
| 3020 | |
| 3021 FloatComplexMatrix& | |
| 3022 FloatComplexMatrix::operator += (const FloatMatrix& a) | |
| 3023 { | |
| 3024 octave_idx_type nr = rows (); | |
| 3025 octave_idx_type nc = cols (); | |
| 3026 | |
| 3027 octave_idx_type a_nr = a.rows (); | |
| 3028 octave_idx_type a_nc = a.cols (); | |
| 3029 | |
| 3030 if (nr != a_nr || nc != a_nc) | |
| 3031 { | |
| 3032 gripe_nonconformant ("operator +=", nr, nc, a_nr, a_nc); | |
| 3033 return *this; | |
| 3034 } | |
| 3035 | |
| 3036 if (nr == 0 || nc == 0) | |
| 3037 return *this; | |
| 3038 | |
| 3039 FloatComplex *d = fortran_vec (); // Ensures only one reference to my privates! | |
| 3040 | |
| 3041 mx_inline_add2 (length (), d, a.data ()); | |
| 3042 return *this; | |
| 3043 } | |
| 3044 | |
| 3045 FloatComplexMatrix& | |
| 3046 FloatComplexMatrix::operator -= (const FloatMatrix& a) | |
| 3047 { | |
| 3048 octave_idx_type nr = rows (); | |
| 3049 octave_idx_type nc = cols (); | |
| 3050 | |
| 3051 octave_idx_type a_nr = a.rows (); | |
| 3052 octave_idx_type a_nc = a.cols (); | |
| 3053 | |
| 3054 if (nr != a_nr || nc != a_nc) | |
| 3055 { | |
| 3056 gripe_nonconformant ("operator -=", nr, nc, a_nr, a_nc); | |
| 3057 return *this; | |
| 3058 } | |
| 3059 | |
| 3060 if (nr == 0 || nc == 0) | |
| 3061 return *this; | |
| 3062 | |
| 3063 FloatComplex *d = fortran_vec (); // Ensures only one reference to my privates! | |
| 3064 | |
| 3065 mx_inline_sub2 (length (), d, a.data ()); | |
| 3066 return *this; | |
| 3067 } | |
| 3068 | |
| 3069 // unary operations | |
| 3070 | |
| 3071 boolMatrix | |
| 3072 FloatComplexMatrix::operator ! (void) const | |
| 3073 { | |
| 3074 if (any_element_is_nan ()) | |
| 3075 gripe_nan_to_logical_conversion (); | |
| 3076 | |
| 3077 return do_mx_unary_op<bool, FloatComplex> (*this, mx_inline_not); | |
| 3078 } | |
| 3079 | |
| 3080 // other operations | |
| 3081 | |
| 3082 bool | |
| 3083 FloatComplexMatrix::any_element_is_nan (void) const | |
| 3084 { | |
| 3085 return do_mx_check<FloatComplex> (*this, mx_inline_any_nan); | |
| 3086 } | |
| 3087 | |
| 3088 bool | |
| 3089 FloatComplexMatrix::any_element_is_inf_or_nan (void) const | |
| 3090 { | |
| 3091 return ! do_mx_check<FloatComplex> (*this, mx_inline_all_finite); | |
| 3092 } | |
| 3093 | |
| 3094 // Return true if no elements have imaginary components. | |
| 3095 | |
| 3096 bool | |
| 3097 FloatComplexMatrix::all_elements_are_real (void) const | |
| 3098 { | |
| 3099 return do_mx_check<FloatComplex> (*this, mx_inline_all_real); | |
| 3100 } | |
| 3101 | |
| 3102 // Return nonzero if any element of CM has a non-integer real or | |
| 3103 // imaginary part. Also extract the largest and smallest (real or | |
| 3104 // imaginary) values and return them in MAX_VAL and MIN_VAL. | |
| 3105 | |
| 3106 bool | |
| 3107 FloatComplexMatrix::all_integers (float& max_val, float& min_val) const | |
| 3108 { | |
| 3109 octave_idx_type nr = rows (); | |
| 3110 octave_idx_type nc = cols (); | |
| 3111 | |
| 3112 if (nr > 0 && nc > 0) | |
| 3113 { | |
| 3114 FloatComplex val = elem (0, 0); | |
| 3115 | |
| 3116 float r_val = std::real (val); | |
| 3117 float i_val = std::imag (val); | |
| 3118 | |
| 3119 max_val = r_val; | |
| 3120 min_val = r_val; | |
| 3121 | |
| 3122 if (i_val > max_val) | |
| 3123 max_val = i_val; | |
| 3124 | |
| 3125 if (i_val < max_val) | |
| 3126 min_val = i_val; | |
| 3127 } | |
| 3128 else | |
| 3129 return false; | |
| 3130 | |
| 3131 for (octave_idx_type j = 0; j < nc; j++) | |
| 3132 for (octave_idx_type i = 0; i < nr; i++) | |
| 3133 { | |
| 3134 FloatComplex val = elem (i, j); | |
| 3135 | |
| 3136 float r_val = std::real (val); | |
| 3137 float i_val = std::imag (val); | |
| 3138 | |
| 3139 if (r_val > max_val) | |
| 3140 max_val = r_val; | |
| 3141 | |
| 3142 if (i_val > max_val) | |
| 3143 max_val = i_val; | |
| 3144 | |
| 3145 if (r_val < min_val) | |
| 3146 min_val = r_val; | |
| 3147 | |
| 3148 if (i_val < min_val) | |
| 3149 min_val = i_val; | |
| 3150 | |
| 3151 if (D_NINT (r_val) != r_val || D_NINT (i_val) != i_val) | |
| 3152 return false; | |
| 3153 } | |
| 3154 | |
| 3155 return true; | |
| 3156 } | |
| 3157 | |
| 3158 bool | |
| 3159 FloatComplexMatrix::too_large_for_float (void) const | |
| 3160 { | |
| 3161 return false; | |
| 3162 } | |
| 3163 | |
| 3164 // FIXME Do these really belong here? Maybe they should be | |
| 3165 // in a base class? | |
| 3166 | |
| 3167 boolMatrix | |
| 3168 FloatComplexMatrix::all (int dim) const | |
| 3169 { | |
| 3170 return do_mx_red_op<bool, FloatComplex> (*this, dim, mx_inline_all); | |
| 3171 } | |
| 3172 | |
| 3173 boolMatrix | |
| 3174 FloatComplexMatrix::any (int dim) const | |
| 3175 { | |
| 3176 return do_mx_red_op<bool, FloatComplex> (*this, dim, mx_inline_any); | |
| 3177 } | |
| 3178 | |
| 3179 FloatComplexMatrix | |
| 3180 FloatComplexMatrix::cumprod (int dim) const | |
| 3181 { | |
| 3182 return do_mx_cum_op<FloatComplex, FloatComplex> (*this, dim, mx_inline_cumprod); | |
| 3183 } | |
| 3184 | |
| 3185 FloatComplexMatrix | |
| 3186 FloatComplexMatrix::cumsum (int dim) const | |
| 3187 { | |
| 3188 return do_mx_cum_op<FloatComplex, FloatComplex> (*this, dim, mx_inline_cumsum); | |
| 3189 } | |
| 3190 | |
| 3191 FloatComplexMatrix | |
| 3192 FloatComplexMatrix::prod (int dim) const | |
| 3193 { | |
| 3194 return do_mx_red_op<FloatComplex, FloatComplex> (*this, dim, mx_inline_prod); | |
| 3195 } | |
| 3196 | |
| 3197 FloatComplexMatrix | |
| 3198 FloatComplexMatrix::sum (int dim) const | |
| 3199 { | |
| 3200 return do_mx_red_op<FloatComplex, FloatComplex> (*this, dim, mx_inline_sum); | |
| 3201 } | |
| 3202 | |
| 3203 FloatComplexMatrix | |
| 3204 FloatComplexMatrix::sumsq (int dim) const | |
| 3205 { | |
| 3206 return do_mx_red_op<float, FloatComplex> (*this, dim, mx_inline_sumsq); | |
| 3207 } | |
| 3208 | |
| 3209 FloatMatrix FloatComplexMatrix::abs (void) const | |
| 3210 { | |
| 3211 return do_mx_unary_map<float, FloatComplex, std::abs> (*this); | |
| 3212 } | |
| 3213 | |
| 3214 FloatComplexMatrix | |
| 3215 FloatComplexMatrix::diag (octave_idx_type k) const | |
| 3216 { | |
| 3217 return MArray<FloatComplex>::diag (k); | |
| 3218 } | |
| 3219 | |
| 3220 FloatComplexDiagMatrix | |
| 3221 FloatComplexMatrix::diag (octave_idx_type m, octave_idx_type n) const | |
| 3222 { | |
| 3223 FloatComplexDiagMatrix retval; | |
| 3224 | |
| 3225 octave_idx_type nr = rows (); | |
| 3226 octave_idx_type nc = cols (); | |
| 3227 | |
| 3228 if (nr == 1 || nc == 1) | |
| 3229 retval = FloatComplexDiagMatrix (*this, m, n); | |
| 3230 else | |
| 3231 (*current_liboctave_error_handler) | |
| 3232 ("diag: expecting vector argument"); | |
| 3233 | |
| 3234 return retval; | |
| 3235 } | |
| 3236 | |
| 3237 bool | |
| 3238 FloatComplexMatrix::row_is_real_only (octave_idx_type i) const | |
| 3239 { | |
| 3240 bool retval = true; | |
| 3241 | |
| 3242 octave_idx_type nc = columns (); | |
| 3243 | |
| 3244 for (octave_idx_type j = 0; j < nc; j++) | |
| 3245 { | |
| 3246 if (std::imag (elem (i, j)) != 0.0) | |
| 3247 { | |
| 3248 retval = false; | |
| 3249 break; | |
| 3250 } | |
| 3251 } | |
| 3252 | |
| 3253 return retval; | |
| 3254 } | |
| 3255 | |
| 3256 bool | |
| 3257 FloatComplexMatrix::column_is_real_only (octave_idx_type j) const | |
| 3258 { | |
| 3259 bool retval = true; | |
| 3260 | |
| 3261 octave_idx_type nr = rows (); | |
| 3262 | |
| 3263 for (octave_idx_type i = 0; i < nr; i++) | |
| 3264 { | |
| 3265 if (std::imag (elem (i, j)) != 0.0) | |
| 3266 { | |
| 3267 retval = false; | |
| 3268 break; | |
| 3269 } | |
| 3270 } | |
| 3271 | |
| 3272 return retval; | |
| 3273 } | |
| 3274 | |
| 3275 FloatComplexColumnVector | |
| 3276 FloatComplexMatrix::row_min (void) const | |
| 3277 { | |
| 3278 Array<octave_idx_type> dummy_idx; | |
| 3279 return row_min (dummy_idx); | |
| 3280 } | |
| 3281 | |
| 3282 FloatComplexColumnVector | |
| 3283 FloatComplexMatrix::row_min (Array<octave_idx_type>& idx_arg) const | |
| 3284 { | |
| 3285 FloatComplexColumnVector result; | |
| 3286 | |
| 3287 octave_idx_type nr = rows (); | |
| 3288 octave_idx_type nc = cols (); | |
| 3289 | |
| 3290 if (nr > 0 && nc > 0) | |
| 3291 { | |
| 3292 result.resize (nr); | |
| 3293 idx_arg.resize (dim_vector (nr, 1)); | |
| 3294 | |
| 3295 for (octave_idx_type i = 0; i < nr; i++) | |
| 3296 { | |
| 3297 bool real_only = row_is_real_only (i); | |
| 3298 | |
| 3299 octave_idx_type idx_j; | |
| 3300 | |
| 3301 FloatComplex tmp_min; | |
| 3302 | |
| 3303 float abs_min = octave_Float_NaN; | |
| 3304 | |
| 3305 for (idx_j = 0; idx_j < nc; idx_j++) | |
| 3306 { | |
| 3307 tmp_min = elem (i, idx_j); | |
| 3308 | |
| 3309 if (! xisnan (tmp_min)) | |
| 3310 { | |
| 3311 abs_min = real_only ? std::real (tmp_min) : std::abs (tmp_min); | |
| 3312 break; | |
| 3313 } | |
| 3314 } | |
| 3315 | |
| 3316 for (octave_idx_type j = idx_j+1; j < nc; j++) | |
| 3317 { | |
| 3318 FloatComplex tmp = elem (i, j); | |
| 3319 | |
| 3320 if (xisnan (tmp)) | |
| 3321 continue; | |
| 3322 | |
| 3323 float abs_tmp = real_only ? std::real (tmp) : std::abs (tmp); | |
| 3324 | |
| 3325 if (abs_tmp < abs_min) | |
| 3326 { | |
| 3327 idx_j = j; | |
| 3328 tmp_min = tmp; | |
| 3329 abs_min = abs_tmp; | |
| 3330 } | |
| 3331 } | |
| 3332 | |
| 3333 if (xisnan (tmp_min)) | |
| 3334 { | |
| 3335 result.elem (i) = FloatComplex_NaN_result; | |
| 3336 idx_arg.elem (i) = 0; | |
| 3337 } | |
| 3338 else | |
| 3339 { | |
| 3340 result.elem (i) = tmp_min; | |
| 3341 idx_arg.elem (i) = idx_j; | |
| 3342 } | |
| 3343 } | |
| 3344 } | |
| 3345 | |
| 3346 return result; | |
| 3347 } | |
| 3348 | |
| 3349 FloatComplexColumnVector | |
| 3350 FloatComplexMatrix::row_max (void) const | |
| 3351 { | |
| 3352 Array<octave_idx_type> dummy_idx; | |
| 3353 return row_max (dummy_idx); | |
| 3354 } | |
| 3355 | |
| 3356 FloatComplexColumnVector | |
| 3357 FloatComplexMatrix::row_max (Array<octave_idx_type>& idx_arg) const | |
| 3358 { | |
| 3359 FloatComplexColumnVector result; | |
| 3360 | |
| 3361 octave_idx_type nr = rows (); | |
| 3362 octave_idx_type nc = cols (); | |
| 3363 | |
| 3364 if (nr > 0 && nc > 0) | |
| 3365 { | |
| 3366 result.resize (nr); | |
| 3367 idx_arg.resize (dim_vector (nr, 1)); | |
| 3368 | |
| 3369 for (octave_idx_type i = 0; i < nr; i++) | |
| 3370 { | |
| 3371 bool real_only = row_is_real_only (i); | |
| 3372 | |
| 3373 octave_idx_type idx_j; | |
| 3374 | |
| 3375 FloatComplex tmp_max; | |
| 3376 | |
| 3377 float abs_max = octave_Float_NaN; | |
| 3378 | |
| 3379 for (idx_j = 0; idx_j < nc; idx_j++) | |
| 3380 { | |
| 3381 tmp_max = elem (i, idx_j); | |
| 3382 | |
| 3383 if (! xisnan (tmp_max)) | |
| 3384 { | |
| 3385 abs_max = real_only ? std::real (tmp_max) : std::abs (tmp_max); | |
| 3386 break; | |
| 3387 } | |
| 3388 } | |
| 3389 | |
| 3390 for (octave_idx_type j = idx_j+1; j < nc; j++) | |
| 3391 { | |
| 3392 FloatComplex tmp = elem (i, j); | |
| 3393 | |
| 3394 if (xisnan (tmp)) | |
| 3395 continue; | |
| 3396 | |
| 3397 float abs_tmp = real_only ? std::real (tmp) : std::abs (tmp); | |
| 3398 | |
| 3399 if (abs_tmp > abs_max) | |
| 3400 { | |
| 3401 idx_j = j; | |
| 3402 tmp_max = tmp; | |
| 3403 abs_max = abs_tmp; | |
| 3404 } | |
| 3405 } | |
| 3406 | |
| 3407 if (xisnan (tmp_max)) | |
| 3408 { | |
| 3409 result.elem (i) = FloatComplex_NaN_result; | |
| 3410 idx_arg.elem (i) = 0; | |
| 3411 } | |
| 3412 else | |
| 3413 { | |
| 3414 result.elem (i) = tmp_max; | |
| 3415 idx_arg.elem (i) = idx_j; | |
| 3416 } | |
| 3417 } | |
| 3418 } | |
| 3419 | |
| 3420 return result; | |
| 3421 } | |
| 3422 | |
| 3423 FloatComplexRowVector | |
| 3424 FloatComplexMatrix::column_min (void) const | |
| 3425 { | |
| 3426 Array<octave_idx_type> dummy_idx; | |
| 3427 return column_min (dummy_idx); | |
| 3428 } | |
| 3429 | |
| 3430 FloatComplexRowVector | |
| 3431 FloatComplexMatrix::column_min (Array<octave_idx_type>& idx_arg) const | |
| 3432 { | |
| 3433 FloatComplexRowVector result; | |
| 3434 | |
| 3435 octave_idx_type nr = rows (); | |
| 3436 octave_idx_type nc = cols (); | |
| 3437 | |
| 3438 if (nr > 0 && nc > 0) | |
| 3439 { | |
| 3440 result.resize (nc); | |
| 3441 idx_arg.resize (dim_vector (1, nc)); | |
| 3442 | |
| 3443 for (octave_idx_type j = 0; j < nc; j++) | |
| 3444 { | |
| 3445 bool real_only = column_is_real_only (j); | |
| 3446 | |
| 3447 octave_idx_type idx_i; | |
| 3448 | |
| 3449 FloatComplex tmp_min; | |
| 3450 | |
| 3451 float abs_min = octave_Float_NaN; | |
| 3452 | |
| 3453 for (idx_i = 0; idx_i < nr; idx_i++) | |
| 3454 { | |
| 3455 tmp_min = elem (idx_i, j); | |
| 3456 | |
| 3457 if (! xisnan (tmp_min)) | |
| 3458 { | |
| 3459 abs_min = real_only ? std::real (tmp_min) : std::abs (tmp_min); | |
| 3460 break; | |
| 3461 } | |
| 3462 } | |
| 3463 | |
| 3464 for (octave_idx_type i = idx_i+1; i < nr; i++) | |
| 3465 { | |
| 3466 FloatComplex tmp = elem (i, j); | |
| 3467 | |
| 3468 if (xisnan (tmp)) | |
| 3469 continue; | |
| 3470 | |
| 3471 float abs_tmp = real_only ? std::real (tmp) : std::abs (tmp); | |
| 3472 | |
| 3473 if (abs_tmp < abs_min) | |
| 3474 { | |
| 3475 idx_i = i; | |
| 3476 tmp_min = tmp; | |
| 3477 abs_min = abs_tmp; | |
| 3478 } | |
| 3479 } | |
| 3480 | |
| 3481 if (xisnan (tmp_min)) | |
| 3482 { | |
| 3483 result.elem (j) = FloatComplex_NaN_result; | |
| 3484 idx_arg.elem (j) = 0; | |
| 3485 } | |
| 3486 else | |
| 3487 { | |
| 3488 result.elem (j) = tmp_min; | |
| 3489 idx_arg.elem (j) = idx_i; | |
| 3490 } | |
| 3491 } | |
| 3492 } | |
| 3493 | |
| 3494 return result; | |
| 3495 } | |
| 3496 | |
| 3497 FloatComplexRowVector | |
| 3498 FloatComplexMatrix::column_max (void) const | |
| 3499 { | |
| 3500 Array<octave_idx_type> dummy_idx; | |
| 3501 return column_max (dummy_idx); | |
| 3502 } | |
| 3503 | |
| 3504 FloatComplexRowVector | |
| 3505 FloatComplexMatrix::column_max (Array<octave_idx_type>& idx_arg) const | |
| 3506 { | |
| 3507 FloatComplexRowVector result; | |
| 3508 | |
| 3509 octave_idx_type nr = rows (); | |
| 3510 octave_idx_type nc = cols (); | |
| 3511 | |
| 3512 if (nr > 0 && nc > 0) | |
| 3513 { | |
| 3514 result.resize (nc); | |
| 3515 idx_arg.resize (dim_vector (1, nc)); | |
| 3516 | |
| 3517 for (octave_idx_type j = 0; j < nc; j++) | |
| 3518 { | |
| 3519 bool real_only = column_is_real_only (j); | |
| 3520 | |
| 3521 octave_idx_type idx_i; | |
| 3522 | |
| 3523 FloatComplex tmp_max; | |
| 3524 | |
| 3525 float abs_max = octave_Float_NaN; | |
| 3526 | |
| 3527 for (idx_i = 0; idx_i < nr; idx_i++) | |
| 3528 { | |
| 3529 tmp_max = elem (idx_i, j); | |
| 3530 | |
| 3531 if (! xisnan (tmp_max)) | |
| 3532 { | |
| 3533 abs_max = real_only ? std::real (tmp_max) : std::abs (tmp_max); | |
| 3534 break; | |
| 3535 } | |
| 3536 } | |
| 3537 | |
| 3538 for (octave_idx_type i = idx_i+1; i < nr; i++) | |
| 3539 { | |
| 3540 FloatComplex tmp = elem (i, j); | |
| 3541 | |
| 3542 if (xisnan (tmp)) | |
| 3543 continue; | |
| 3544 | |
| 3545 float abs_tmp = real_only ? std::real (tmp) : std::abs (tmp); | |
| 3546 | |
| 3547 if (abs_tmp > abs_max) | |
| 3548 { | |
| 3549 idx_i = i; | |
| 3550 tmp_max = tmp; | |
| 3551 abs_max = abs_tmp; | |
| 3552 } | |
| 3553 } | |
| 3554 | |
| 3555 if (xisnan (tmp_max)) | |
| 3556 { | |
| 3557 result.elem (j) = FloatComplex_NaN_result; | |
| 3558 idx_arg.elem (j) = 0; | |
| 3559 } | |
| 3560 else | |
| 3561 { | |
| 3562 result.elem (j) = tmp_max; | |
| 3563 idx_arg.elem (j) = idx_i; | |
| 3564 } | |
| 3565 } | |
| 3566 } | |
| 3567 | |
| 3568 return result; | |
| 3569 } | |
| 3570 | |
| 3571 // i/o | |
| 3572 | |
| 3573 std::ostream& | |
| 3574 operator << (std::ostream& os, const FloatComplexMatrix& a) | |
| 3575 { | |
| 3576 for (octave_idx_type i = 0; i < a.rows (); i++) | |
| 3577 { | |
| 3578 for (octave_idx_type j = 0; j < a.cols (); j++) | |
| 3579 { | |
| 3580 os << " "; | |
| 3581 octave_write_complex (os, a.elem (i, j)); | |
| 3582 } | |
| 3583 os << "\n"; | |
| 3584 } | |
| 3585 return os; | |
| 3586 } | |
| 3587 | |
| 3588 std::istream& | |
| 3589 operator >> (std::istream& is, FloatComplexMatrix& a) | |
| 3590 { | |
| 3591 octave_idx_type nr = a.rows (); | |
| 3592 octave_idx_type nc = a.cols (); | |
| 3593 | |
| 3594 if (nr > 0 && nc > 0) | |
| 3595 { | |
| 3596 FloatComplex tmp; | |
| 3597 for (octave_idx_type i = 0; i < nr; i++) | |
| 3598 for (octave_idx_type j = 0; j < nc; j++) | |
| 3599 { | |
| 3600 tmp = octave_read_value<FloatComplex> (is); | |
| 3601 if (is) | |
| 3602 a.elem (i, j) = tmp; | |
| 3603 else | |
| 3604 goto done; | |
| 3605 } | |
| 3606 } | |
| 3607 | |
| 3608 done: | |
| 3609 | |
| 3610 return is; | |
| 3611 } | |
| 3612 | |
| 3613 FloatComplexMatrix | |
| 3614 Givens (const FloatComplex& x, const FloatComplex& y) | |
| 3615 { | |
| 3616 float cc; | |
| 3617 FloatComplex cs, temp_r; | |
| 3618 | |
| 3619 F77_FUNC (clartg, CLARTG) (x, y, cc, cs, temp_r); | |
| 3620 | |
| 3621 FloatComplexMatrix g (2, 2); | |
| 3622 | |
| 3623 g.elem (0, 0) = cc; | |
| 3624 g.elem (1, 1) = cc; | |
| 3625 g.elem (0, 1) = cs; | |
| 3626 g.elem (1, 0) = -conj (cs); | |
| 3627 | |
| 3628 return g; | |
| 3629 } | |
| 3630 | |
| 3631 FloatComplexMatrix | |
| 3632 Sylvester (const FloatComplexMatrix& a, const FloatComplexMatrix& b, | |
| 3633 const FloatComplexMatrix& c) | |
| 3634 { | |
| 3635 FloatComplexMatrix retval; | |
| 3636 | |
| 3637 // FIXME -- need to check that a, b, and c are all the same | |
| 3638 // size. | |
| 3639 | |
| 3640 // Compute Schur decompositions | |
| 3641 | |
| 3642 FloatComplexSCHUR as (a, "U"); | |
| 3643 FloatComplexSCHUR bs (b, "U"); | |
| 3644 | |
| 3645 // Transform c to new coordinates. | |
| 3646 | |
| 3647 FloatComplexMatrix ua = as.unitary_matrix (); | |
| 3648 FloatComplexMatrix sch_a = as.schur_matrix (); | |
| 3649 | |
| 3650 FloatComplexMatrix ub = bs.unitary_matrix (); | |
| 3651 FloatComplexMatrix sch_b = bs.schur_matrix (); | |
| 3652 | |
| 3653 FloatComplexMatrix cx = ua.hermitian () * c * ub; | |
| 3654 | |
| 3655 // Solve the sylvester equation, back-transform, and return the | |
| 3656 // solution. | |
| 3657 | |
| 3658 octave_idx_type a_nr = a.rows (); | |
| 3659 octave_idx_type b_nr = b.rows (); | |
| 3660 | |
| 3661 float scale; | |
| 3662 octave_idx_type info; | |
| 3663 | |
| 3664 FloatComplex *pa = sch_a.fortran_vec (); | |
| 3665 FloatComplex *pb = sch_b.fortran_vec (); | |
| 3666 FloatComplex *px = cx.fortran_vec (); | |
| 3667 | |
| 3668 F77_XFCN (ctrsyl, CTRSYL, (F77_CONST_CHAR_ARG2 ("N", 1), | |
| 3669 F77_CONST_CHAR_ARG2 ("N", 1), | |
| 3670 1, a_nr, b_nr, pa, a_nr, pb, | |
| 3671 b_nr, px, a_nr, scale, info | |
| 3672 F77_CHAR_ARG_LEN (1) | |
| 3673 F77_CHAR_ARG_LEN (1))); | |
| 3674 | |
| 3675 // FIXME -- check info? | |
| 3676 | |
| 3677 retval = -ua * cx * ub.hermitian (); | |
| 3678 | |
| 3679 return retval; | |
| 3680 } | |
| 3681 | |
| 3682 FloatComplexMatrix | |
| 3683 operator * (const FloatComplexMatrix& m, const FloatMatrix& a) | |
| 3684 { | |
| 3685 if (m.columns () > std::min (m.rows (), a.columns ()) / 10) | |
| 3686 return FloatComplexMatrix (real (m) * a, imag (m) * a); | |
| 3687 else | |
| 3688 return m * FloatComplexMatrix (a); | |
| 3689 } | |
| 3690 | |
| 3691 FloatComplexMatrix | |
| 3692 operator * (const FloatMatrix& m, const FloatComplexMatrix& a) | |
| 3693 { | |
| 3694 if (a.rows () > std::min (m.rows (), a.columns ()) / 10) | |
| 3695 return FloatComplexMatrix (m * real (a), m * imag (a)); | |
| 3696 else | |
| 3697 return m * FloatComplexMatrix (a); | |
| 3698 } | |
| 3699 | |
| 3700 /* | |
| 3701 | |
| 3702 ## Simple Dot Product, Matrix-Vector, and Matrix-Matrix Unit tests | |
| 3703 %!assert (single ([1+i 2+i 3+i]) * single ([ 4+i ; 5+i ; 6+i]), single (29+21i), 5e-7) | |
| 3704 %!assert (single ([1+i 2+i ; 3+i 4+i]) * single ([5+i ; 6+i]), single ([15 + 14i ; 37 + 18i]), 5e-7) | |
| 3705 %!assert (single ([1+i 2+i ; 3+i 4+i ]) * single ([5+i 6+i ; 7+i 8+i]), single ([17 + 15i 20 + 17i; 41 + 19i 48 + 21i]), 5e-7) | |
| 3706 %!assert (single ([1 i])*single ([i 0])', single (-i)) | |
| 3707 | |
| 3708 ## Test some simple identities | |
| 3709 %!shared M, cv, rv | |
| 3710 %! M = single (randn (10,10))+ i*single (rand (10,10)); | |
| 3711 %! cv = single (randn (10,1))+ i*single (rand (10,1)); | |
| 3712 %! rv = single (randn (1,10))+ i*single (rand (1,10)); | |
| 3713 %!assert ([M*cv,M*cv], M*[cv,cv], 5e-6) | |
| 3714 %!assert ([M.'*cv,M.'*cv], M.'*[cv,cv], 5e-6) | |
| 3715 %!assert ([M'*cv,M'*cv], M'*[cv,cv], 5e-6) | |
| 3716 %!assert ([rv*M;rv*M], [rv;rv]*M, 5e-6) | |
| 3717 %!assert ([rv*M.';rv*M.'], [rv;rv]*M.', 5e-6) | |
| 3718 %!assert ([rv*M';rv*M'], [rv;rv]*M', 5e-6) | |
| 3719 %!assert (2*rv*cv, [rv,rv]*[cv;cv], 5e-6) | |
| 3720 | |
| 3721 */ | |
| 3722 | |
| 3723 static char | |
| 3724 get_blas_trans_arg (bool trans, bool conj) | |
| 3725 { | |
| 3726 return trans ? (conj ? 'C' : 'T') : 'N'; | |
| 3727 } | |
| 3728 | |
| 3729 // the general GEMM operation | |
| 3730 | |
| 3731 FloatComplexMatrix | |
| 3732 xgemm (const FloatComplexMatrix& a, const FloatComplexMatrix& b, | |
| 3733 blas_trans_type transa, blas_trans_type transb) | |
| 3734 { | |
| 3735 FloatComplexMatrix retval; | |
| 3736 | |
| 3737 bool tra = transa != blas_no_trans, trb = transb != blas_no_trans; | |
| 3738 bool cja = transa == blas_conj_trans, cjb = transb == blas_conj_trans; | |
| 3739 | |
| 3740 octave_idx_type a_nr = tra ? a.cols () : a.rows (); | |
| 3741 octave_idx_type a_nc = tra ? a.rows () : a.cols (); | |
| 3742 | |
| 3743 octave_idx_type b_nr = trb ? b.cols () : b.rows (); | |
| 3744 octave_idx_type b_nc = trb ? b.rows () : b.cols (); | |
| 3745 | |
| 3746 if (a_nc != b_nr) | |
| 3747 gripe_nonconformant ("operator *", a_nr, a_nc, b_nr, b_nc); | |
| 3748 else | |
| 3749 { | |
| 3750 if (a_nr == 0 || a_nc == 0 || b_nc == 0) | |
| 3751 retval = FloatComplexMatrix (a_nr, b_nc, 0.0); | |
| 3752 else if (a.data () == b.data () && a_nr == b_nc && tra != trb) | |
| 3753 { | |
| 3754 octave_idx_type lda = a.rows (); | |
| 3755 | |
| 3756 // FIXME -- looking at the reference BLAS, it appears that it | |
| 3757 // should not be necessary to initialize the output matrix if | |
| 3758 // BETA is 0 in the call to CHERK, but ATLAS appears to | |
| 3759 // use the result matrix before zeroing the elements. | |
| 3760 | |
| 3761 retval = FloatComplexMatrix (a_nr, b_nc, 0.0); | |
| 3762 FloatComplex *c = retval.fortran_vec (); | |
| 3763 | |
| 3764 const char ctra = get_blas_trans_arg (tra, cja); | |
| 3765 if (cja || cjb) | |
| 3766 { | |
| 3767 F77_XFCN (cherk, CHERK, (F77_CONST_CHAR_ARG2 ("U", 1), | |
| 3768 F77_CONST_CHAR_ARG2 (&ctra, 1), | |
| 3769 a_nr, a_nc, 1.0, | |
| 3770 a.data (), lda, 0.0, c, a_nr | |
| 3771 F77_CHAR_ARG_LEN (1) | |
| 3772 F77_CHAR_ARG_LEN (1))); | |
| 3773 for (octave_idx_type j = 0; j < a_nr; j++) | |
| 3774 for (octave_idx_type i = 0; i < j; i++) | |
| 3775 retval.xelem (j,i) = std::conj (retval.xelem (i,j)); | |
| 3776 } | |
| 3777 else | |
| 3778 { | |
| 3779 F77_XFCN (csyrk, CSYRK, (F77_CONST_CHAR_ARG2 ("U", 1), | |
| 3780 F77_CONST_CHAR_ARG2 (&ctra, 1), | |
| 3781 a_nr, a_nc, 1.0, | |
| 3782 a.data (), lda, 0.0, c, a_nr | |
| 3783 F77_CHAR_ARG_LEN (1) | |
| 3784 F77_CHAR_ARG_LEN (1))); | |
| 3785 for (octave_idx_type j = 0; j < a_nr; j++) | |
| 3786 for (octave_idx_type i = 0; i < j; i++) | |
| 3787 retval.xelem (j,i) = retval.xelem (i,j); | |
| 3788 | |
| 3789 } | |
| 3790 | |
| 3791 } | |
| 3792 else | |
| 3793 { | |
| 3794 octave_idx_type lda = a.rows (), tda = a.cols (); | |
| 3795 octave_idx_type ldb = b.rows (), tdb = b.cols (); | |
| 3796 | |
| 3797 retval = FloatComplexMatrix (a_nr, b_nc, 0.0); | |
| 3798 FloatComplex *c = retval.fortran_vec (); | |
| 3799 | |
| 3800 if (b_nc == 1 && a_nr == 1) | |
| 3801 { | |
| 3802 if (cja == cjb) | |
| 3803 { | |
| 3804 F77_FUNC (xcdotu, XCDOTU) (a_nc, a.data (), 1, b.data (), 1, *c); | |
| 3805 if (cja) *c = std::conj (*c); | |
| 3806 } | |
| 3807 else if (cja) | |
| 3808 F77_FUNC (xcdotc, XCDOTC) (a_nc, a.data (), 1, b.data (), 1, *c); | |
| 3809 else | |
| 3810 F77_FUNC (xcdotc, XCDOTC) (a_nc, b.data (), 1, a.data (), 1, *c); | |
| 3811 } | |
| 3812 else if (b_nc == 1 && ! cjb) | |
| 3813 { | |
| 3814 const char ctra = get_blas_trans_arg (tra, cja); | |
| 3815 F77_XFCN (cgemv, CGEMV, (F77_CONST_CHAR_ARG2 (&ctra, 1), | |
| 3816 lda, tda, 1.0, a.data (), lda, | |
| 3817 b.data (), 1, 0.0, c, 1 | |
| 3818 F77_CHAR_ARG_LEN (1))); | |
| 3819 } | |
| 3820 else if (a_nr == 1 && ! cja && ! cjb) | |
| 3821 { | |
| 3822 const char crevtrb = get_blas_trans_arg (! trb, cjb); | |
| 3823 F77_XFCN (cgemv, CGEMV, (F77_CONST_CHAR_ARG2 (&crevtrb, 1), | |
| 3824 ldb, tdb, 1.0, b.data (), ldb, | |
| 3825 a.data (), 1, 0.0, c, 1 | |
| 3826 F77_CHAR_ARG_LEN (1))); | |
| 3827 } | |
| 3828 else | |
| 3829 { | |
| 3830 const char ctra = get_blas_trans_arg (tra, cja); | |
| 3831 const char ctrb = get_blas_trans_arg (trb, cjb); | |
| 3832 F77_XFCN (cgemm, CGEMM, (F77_CONST_CHAR_ARG2 (&ctra, 1), | |
| 3833 F77_CONST_CHAR_ARG2 (&ctrb, 1), | |
| 3834 a_nr, b_nc, a_nc, 1.0, a.data (), | |
| 3835 lda, b.data (), ldb, 0.0, c, a_nr | |
| 3836 F77_CHAR_ARG_LEN (1) | |
| 3837 F77_CHAR_ARG_LEN (1))); | |
| 3838 } | |
| 3839 } | |
| 3840 } | |
| 3841 | |
| 3842 return retval; | |
| 3843 } | |
| 3844 | |
| 3845 FloatComplexMatrix | |
| 3846 operator * (const FloatComplexMatrix& a, const FloatComplexMatrix& b) | |
| 3847 { | |
| 3848 return xgemm (a, b); | |
| 3849 } | |
| 3850 | |
| 3851 // FIXME -- it would be nice to share code among the min/max | |
| 3852 // functions below. | |
| 3853 | |
| 3854 #define EMPTY_RETURN_CHECK(T) \ | |
| 3855 if (nr == 0 || nc == 0) \ | |
| 3856 return T (nr, nc); | |
| 3857 | |
| 3858 FloatComplexMatrix | |
| 3859 min (const FloatComplex& c, const FloatComplexMatrix& m) | |
| 3860 { | |
| 3861 octave_idx_type nr = m.rows (); | |
| 3862 octave_idx_type nc = m.columns (); | |
| 3863 | |
| 3864 EMPTY_RETURN_CHECK (FloatComplexMatrix); | |
| 3865 | |
| 3866 FloatComplexMatrix result (nr, nc); | |
| 3867 | |
| 3868 for (octave_idx_type j = 0; j < nc; j++) | |
| 3869 for (octave_idx_type i = 0; i < nr; i++) | |
| 3870 { | |
| 3871 octave_quit (); | |
| 3872 result (i, j) = xmin (c, m (i, j)); | |
| 3873 } | |
| 3874 | |
| 3875 return result; | |
| 3876 } | |
| 3877 | |
| 3878 FloatComplexMatrix | |
| 3879 min (const FloatComplexMatrix& m, const FloatComplex& c) | |
| 3880 { | |
| 3881 octave_idx_type nr = m.rows (); | |
| 3882 octave_idx_type nc = m.columns (); | |
| 3883 | |
| 3884 EMPTY_RETURN_CHECK (FloatComplexMatrix); | |
| 3885 | |
| 3886 FloatComplexMatrix result (nr, nc); | |
| 3887 | |
| 3888 for (octave_idx_type j = 0; j < nc; j++) | |
| 3889 for (octave_idx_type i = 0; i < nr; i++) | |
| 3890 { | |
| 3891 octave_quit (); | |
| 3892 result (i, j) = xmin (m (i, j), c); | |
| 3893 } | |
| 3894 | |
| 3895 return result; | |
| 3896 } | |
| 3897 | |
| 3898 FloatComplexMatrix | |
| 3899 min (const FloatComplexMatrix& a, const FloatComplexMatrix& b) | |
| 3900 { | |
| 3901 octave_idx_type nr = a.rows (); | |
| 3902 octave_idx_type nc = a.columns (); | |
| 3903 | |
| 3904 if (nr != b.rows () || nc != b.columns ()) | |
| 3905 { | |
| 3906 (*current_liboctave_error_handler) | |
| 3907 ("two-arg min expecting args of same size"); | |
| 3908 return FloatComplexMatrix (); | |
| 3909 } | |
| 3910 | |
| 3911 EMPTY_RETURN_CHECK (FloatComplexMatrix); | |
| 3912 | |
| 3913 FloatComplexMatrix result (nr, nc); | |
| 3914 | |
| 3915 for (octave_idx_type j = 0; j < nc; j++) | |
| 3916 { | |
| 3917 int columns_are_real_only = 1; | |
| 3918 for (octave_idx_type i = 0; i < nr; i++) | |
| 3919 { | |
| 3920 octave_quit (); | |
| 3921 if (std::imag (a (i, j)) != 0.0 || std::imag (b (i, j)) != 0.0) | |
| 3922 { | |
| 3923 columns_are_real_only = 0; | |
| 3924 break; | |
| 3925 } | |
| 3926 } | |
| 3927 | |
| 3928 if (columns_are_real_only) | |
| 3929 { | |
| 3930 for (octave_idx_type i = 0; i < nr; i++) | |
| 3931 result (i, j) = xmin (std::real (a (i, j)), std::real (b (i, j))); | |
| 3932 } | |
| 3933 else | |
| 3934 { | |
| 3935 for (octave_idx_type i = 0; i < nr; i++) | |
| 3936 { | |
| 3937 octave_quit (); | |
| 3938 result (i, j) = xmin (a (i, j), b (i, j)); | |
| 3939 } | |
| 3940 } | |
| 3941 } | |
| 3942 | |
| 3943 return result; | |
| 3944 } | |
| 3945 | |
| 3946 FloatComplexMatrix | |
| 3947 max (const FloatComplex& c, const FloatComplexMatrix& m) | |
| 3948 { | |
| 3949 octave_idx_type nr = m.rows (); | |
| 3950 octave_idx_type nc = m.columns (); | |
| 3951 | |
| 3952 EMPTY_RETURN_CHECK (FloatComplexMatrix); | |
| 3953 | |
| 3954 FloatComplexMatrix result (nr, nc); | |
| 3955 | |
| 3956 for (octave_idx_type j = 0; j < nc; j++) | |
| 3957 for (octave_idx_type i = 0; i < nr; i++) | |
| 3958 { | |
| 3959 octave_quit (); | |
| 3960 result (i, j) = xmax (c, m (i, j)); | |
| 3961 } | |
| 3962 | |
| 3963 return result; | |
| 3964 } | |
| 3965 | |
| 3966 FloatComplexMatrix | |
| 3967 max (const FloatComplexMatrix& m, const FloatComplex& c) | |
| 3968 { | |
| 3969 octave_idx_type nr = m.rows (); | |
| 3970 octave_idx_type nc = m.columns (); | |
| 3971 | |
| 3972 EMPTY_RETURN_CHECK (FloatComplexMatrix); | |
| 3973 | |
| 3974 FloatComplexMatrix result (nr, nc); | |
| 3975 | |
| 3976 for (octave_idx_type j = 0; j < nc; j++) | |
| 3977 for (octave_idx_type i = 0; i < nr; i++) | |
| 3978 { | |
| 3979 octave_quit (); | |
| 3980 result (i, j) = xmax (m (i, j), c); | |
| 3981 } | |
| 3982 | |
| 3983 return result; | |
| 3984 } | |
| 3985 | |
| 3986 FloatComplexMatrix | |
| 3987 max (const FloatComplexMatrix& a, const FloatComplexMatrix& b) | |
| 3988 { | |
| 3989 octave_idx_type nr = a.rows (); | |
| 3990 octave_idx_type nc = a.columns (); | |
| 3991 | |
| 3992 if (nr != b.rows () || nc != b.columns ()) | |
| 3993 { | |
| 3994 (*current_liboctave_error_handler) | |
| 3995 ("two-arg max expecting args of same size"); | |
| 3996 return FloatComplexMatrix (); | |
| 3997 } | |
| 3998 | |
| 3999 EMPTY_RETURN_CHECK (FloatComplexMatrix); | |
| 4000 | |
| 4001 FloatComplexMatrix result (nr, nc); | |
| 4002 | |
| 4003 for (octave_idx_type j = 0; j < nc; j++) | |
| 4004 { | |
| 4005 int columns_are_real_only = 1; | |
| 4006 for (octave_idx_type i = 0; i < nr; i++) | |
| 4007 { | |
| 4008 octave_quit (); | |
| 4009 if (std::imag (a (i, j)) != 0.0 || std::imag (b (i, j)) != 0.0) | |
| 4010 { | |
| 4011 columns_are_real_only = 0; | |
| 4012 break; | |
| 4013 } | |
| 4014 } | |
| 4015 | |
| 4016 if (columns_are_real_only) | |
| 4017 { | |
| 4018 for (octave_idx_type i = 0; i < nr; i++) | |
| 4019 { | |
| 4020 octave_quit (); | |
| 4021 result (i, j) = xmax (std::real (a (i, j)), std::real (b (i, j))); | |
| 4022 } | |
| 4023 } | |
| 4024 else | |
| 4025 { | |
| 4026 for (octave_idx_type i = 0; i < nr; i++) | |
| 4027 { | |
| 4028 octave_quit (); | |
| 4029 result (i, j) = xmax (a (i, j), b (i, j)); | |
| 4030 } | |
| 4031 } | |
| 4032 } | |
| 4033 | |
| 4034 return result; | |
| 4035 } | |
| 4036 | |
| 4037 FloatComplexMatrix linspace (const FloatComplexColumnVector& x1, | |
| 4038 const FloatComplexColumnVector& x2, | |
| 4039 octave_idx_type n) | |
| 4040 | |
| 4041 { | |
| 4042 if (n < 1) n = 1; | |
| 4043 | |
| 4044 octave_idx_type m = x1.length (); | |
| 4045 | |
| 4046 if (x2.length () != m) | |
| 4047 (*current_liboctave_error_handler) ("linspace: vectors must be of equal length"); | |
| 4048 | |
| 4049 NoAlias<FloatComplexMatrix> retval; | |
| 4050 | |
| 4051 retval.clear (m, n); | |
| 4052 for (octave_idx_type i = 0; i < m; i++) | |
| 4053 retval(i, 0) = x1(i); | |
| 4054 | |
| 4055 // The last column is not needed while using delta. | |
| 4056 FloatComplex *delta = &retval(0, n-1); | |
| 4057 for (octave_idx_type i = 0; i < m; i++) | |
| 4058 delta[i] = (x2(i) - x1(i)) / (n - 1.0f); | |
| 4059 | |
| 4060 for (octave_idx_type j = 1; j < n-1; j++) | |
| 4061 for (octave_idx_type i = 0; i < m; i++) | |
| 4062 retval(i, j) = x1(i) + static_cast<float> (j)*delta[i]; | |
| 4063 | |
| 4064 for (octave_idx_type i = 0; i < m; i++) | |
| 4065 retval(i, n-1) = x2(i); | |
| 4066 | |
| 4067 return retval; | |
| 4068 } | |
| 4069 | |
| 4070 MS_CMP_OPS (FloatComplexMatrix, FloatComplex) | |
| 4071 MS_BOOL_OPS (FloatComplexMatrix, FloatComplex) | |
| 4072 | |
| 4073 SM_CMP_OPS (FloatComplex, FloatComplexMatrix) | |
| 4074 SM_BOOL_OPS (FloatComplex, FloatComplexMatrix) | |
| 4075 | |
| 4076 MM_CMP_OPS (FloatComplexMatrix, FloatComplexMatrix) | |
| 4077 MM_BOOL_OPS (FloatComplexMatrix, FloatComplexMatrix) |