Millepede II program, subroutines. More...

Functions/Subroutines
program	mptwo
	Millepede II main program Pede. More...

subroutine	solglo (ivgbi)
	Error for single global parameter from MINRES. More...

subroutine	solgloqlp (ivgbi)
	Error for single global parameter from MINRES-QLP. More...

subroutine	addcst
	Add constraint information to matrix and vector. More...

subroutine	grpcon
	Group constraints. More...

subroutine	prpcon
	Prepare constraints. More...

subroutine	feasma
	Matrix for feasible solution. More...

subroutine	feasib (concut, iact)
	Make parameters feasible. More...

subroutine	peread (more)
	Read (block of) records from binary files. More...

subroutine	peprep (mode)
	Prepare records. More...

subroutine	pechk (ibuf, nerr)
	Check Millepede record. More...

subroutine	pepgrp
	Parameter group info update. More...

subroutine	pargrp (inds, inde)
	Parameter group info update for block of parameters. More...

subroutine	isjajb (nst, is, ja, jb, jsp)
	Decode Millepede record. More...

subroutine	loopn
	Loop with fits and sums. More...

subroutine	ploopa (lunp)
	Print title for iteration. More...

subroutine	ploopb (lunp)
	Print iteration line. More...

subroutine	ploopc (lunp)
	Print sub-iteration line. More...

subroutine	ploopd (lunp)
	Print solution line. More...

subroutine	explfc (lunit)
	Print explanation of iteration table. More...

subroutine	mupdat (i, j, add)
	Update element of global matrix. More...

subroutine	mgupdt (i, j1, j2, il, jl, n, sub)
	Update global matrix for parameter group. More...

subroutine	loopbf (nrej, numfil, naccf, chi2f, ndff)
	Loop over records in read buffer (block), fits and sums. More...

subroutine	prtrej (lun)
	Print rejection statistics. More...

subroutine	prtglo
	Print final log file. More...

subroutine	prtstat
	Print input statistic. More...

subroutine	avprds (n, l, x, is, ie, b)
	Product symmetric (sub block) matrix times sparse vector. More...

subroutine	avprd0 (n, l, x, b)
	Product symmetric (sub block) matrix times vector. More...

subroutine	anasps
	Analyse sparsity structure. More...

subroutine	avprod (n, x, b)
	Product symmetric matrix times vector. More...

subroutine	ijpgrp (itema, itemb, ij, lr, iprc)
	Index (region length and precision) for sparse storage of parameter groups. More...

integer(mpi) function	ijprec (itema, itemb)
	Precision for storage of parameter groups. More...

integer(mpl) function	ijadd (itema, itemb)
	Index for sparse storage (custom). More...

integer(mpl) function	ijcsr3 (itema, itemb)
	Index for sparse storage (CSR3). More...

real(mpd) function	matij (itema, itemb)
	Get matrix element at (i,j). More...

subroutine	mhalf2
	Fill 2nd half of matrix for extended storage. More...

subroutine	sechms (deltat, nhour, minut, secnd)
	Time conversion. More...

integer(mpi) function	inone (item)
	Translate labels to indices (for global parameters). More...

subroutine	upone
	Update, redefine hash indices. More...

subroutine	useone
	Make usable (sort items and redefine hash indices). More...

integer(mpi) function	iprime (n)
	largest prime number < N. More...

subroutine	loop1
	First data loop (get global labels). More...

subroutine	loop1i
	Iteration of first data loop. More...

subroutine	loop2
	Second data loop (number of derivatives, global label pairs). More...

subroutine	monres
	Monitor input residuals. More...

subroutine	vmprep (msize)
	Prepare storage for vectors and matrices. More...

subroutine	minver
	Solution by matrix inversion. More...

subroutine	mchdec
	Solution by Cholesky decomposition. More...

subroutine	mdptrf
	Solution by factorization. More...

subroutine	mdutrf
	Solution by factorization. More...

subroutine	lpqldec (a, emin, emax)
	QL decomposition. More...

subroutine	lpavat (t)
	Similarity transformation by Q(t). More...

subroutine	mspardiso
	Solution with Intel(R) oneAPI Math Kernel Library (oneMKL) PARDISO. More...

subroutine	mdiags
	Solution by diagonalization. More...

subroutine	zdiags
	Covariance matrix for diagonalization (,correction of eigenvectors). More...

subroutine	mminrs
	Solution with MINRES. More...

subroutine	mminrsqlp
	Solution with MINRES-QLP. More...

subroutine	mcsolv (n, x, y)
	Solution for zero band width preconditioner. More...

subroutine	mvsolv (n, x, y)
	Solution for finite band width preconditioner. More...

subroutine	xloopn
	Standard solution algorithm. More...

subroutine	chkrej
	Check rejection details. More...

subroutine	filetc
	Interprete command line option, steering file. More...

subroutine	filetx
	Interprete text files. More...

integer(mpi) function	nufile (fname)
	Inquire on file. More...

subroutine	intext (text, nline)
	Interprete text. More...

subroutine	additem (length, list, label, value)
	add item to list More...

subroutine	additemc (length, list, label, text)
	add character item to list More...

subroutine	additemi (length, list, label, ivalue)
	add item to list More...

subroutine	mstart (text)
	Start of 'module' printout. More...

subroutine	mend
	End of 'module' printout. More...

subroutine	mvopen (lun, fname)
	Open file. More...

subroutine	petime
	Print times. More...

subroutine	peend (icode, cmessage)
	Print exit code. More...

subroutine	binopn (kfile, ithr, ierr)
	Open binary file. More...

subroutine	bincls (kfile, ithr)
	Close binary file. More...

subroutine	binrwd (kfile)
	Rewind binary file. More...

subroutine	ckpgrp
	Check (rank of) parameter groups. More...

subroutine	chkmat
	Check global matrix. More...

subroutine	addsums (ithrd, chi2, ndf, dw)
	Accurate summation. More...

subroutine	getsums (chi2, ndf, wndf)
	Get accurate sums. More...

Detailed Description

Millepede II program, subroutines.

Author: Volker Blobel, University Hamburg, 2005-2009 (initial Fortran77 version); Gero Flucke, University Hamburg (support of C-type binary files); Claus Kleinwort, DESY (maintenance and developement)

Copyright: Copyright (c) 2009 - 2024 Deutsches Elektronen-Synchroton, Member of the Helmholtz Association, (DESY), HAMBURG, GERMANY

This library is free software; you can redistribute it and/or modify it under the terms of the GNU Library General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version.

This library is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Library General Public License for more details.

You should have received a copy of the GNU Library General Public License along with this program (see the file COPYING.LIB for more details); if not, write to the Free Software Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.

Definition in file pede.f90.

Function/Subroutine Documentation

◆ addcst()

subroutine addcst

Add constraint information to matrix and vector.

Definition at line 1581 of file pede.f90.

References mpmod::globalparameter, mpmod::globalparlabelindex, mpmod::globalvector, mpmod::icalcm, mpmod::lenconstraints, mpmod::listconstraints, mpmod::matconssort, mupdat(), mpmod::nagb, mpmod::ncgb, mpmod::nvgb, mpmod::vecconsresiduals, and mpmod::vecconsstart.

Referenced by xloopn().

◆ additem()

subroutine additem	(	integer(mpi), intent(inout)	length,
		type(listitem), dimension(:), intent(inout), allocatable	list,
		integer(mpi), intent(in)	label,
		real(mpd), intent(in)	value
	)

add item to list

Parameters

[in,out]	length	length of list
[in,out]	list	list of items
[in]	label	item label
[in]	value	item value

Definition at line 12969 of file pede.f90.

References mpdef::mpl.

Referenced by intext().

◆ additemc()

subroutine additemc	(	integer(mpi), intent(inout)	length,
		type(listitemc), dimension(:), intent(inout), allocatable	list,
		integer(mpi), intent(in)	label,
		character(len = itemclen), intent(in)	text
	)

add character item to list

Parameters

[in,out]	length	length of list
[in,out]	list	list of items
[in]	label	item label
[in]	text	item text

Definition at line 13011 of file pede.f90.

References mpdef::mpl.

Referenced by intext().

◆ additemi()

subroutine additemi	(	integer(mpi), intent(inout)	length,
		type(listitemi), dimension(:), intent(inout), allocatable	list,
		integer(mpi), intent(in)	label,
		integer(mpi), intent(in)	ivalue
	)

add item to list

Parameters

[in,out]	length	length of list
[in,out]	list	list of items
[in]	label	item label
[in]	ivalue	item value

Definition at line 13053 of file pede.f90.

References mpdef::mpl.

Referenced by intext().

◆ addsums()

subroutine addsums	(	integer(mpi), intent(in)	ithrd,
		real(mpd), intent(in)	chi2,
		integer(mpi), intent(in)	ndf,
		real(mpd), intent(in)	dw
	)

Accurate summation.

Sum up Chi2 (integer part in integer, fractional part in double variable) and (weighted) NDF (per thread)

Parameters

[in]	ithrd	thread index (1..MTHRD)
[in]	chi2	summand
[in]	ndf	summand
[in]	dw	weight (from binary file)

Definition at line 13538 of file pede.f90.

References mpmod::globalchi2sumd, mpmod::globalchi2sumi, mpmod::globalndfsum, and mpmod::globalndfsumw.

Referenced by loopbf(), and loopn().

◆ anasps()

subroutine anasps

Analyse sparsity structure.

Definition at line 6176 of file pede.f90.

References mpmod::globalallindexgroups, mpmod::matsto, mpmod::napgrp, mpmod::nspc, mpmod::sparsematrixcolumns, and mpmod::sparsematrixoffsets.

Referenced by loop2().

◆ avprd0()

subroutine avprd0	(	integer(mpi), intent(in)	n,
		integer(mpl), intent(in)	l,
		real(mpd), dimension(n), intent(in)	x,
		real(mpd), dimension(n), intent(out)	b
	)

Product symmetric (sub block) matrix times vector.

A(sym) * X => B. Used by MINRES method (Is most CPU intensive part). The matrix A is the global matrix in full symmetric or (compressed) sparse storage. In full symmetric storage it could be block diagonal (MATSTO=3) and only a single block is used in the product.

Parameters

[in]	n	size of (sub block) matrix
[in]	l	offset of (sub block) parameter range
[in]	x	vector X
[out]	b	result vector B

Definition at line 6008 of file pede.f90.

References mpmod::globalallindexgroups, mpmod::globalmatd, mpmod::globalmatf, mpmod::globalrowoffsets, mpmod::matsto, mpmod::mextnd, mpmod::mthrd, mpmod::napgrp, mpmod::nspc, peend(), mpmod::sparsematrixcolumns, and mpmod::sparsematrixoffsets.

Referenced by avprod(), mminrs(), and mminrsqlp().

◆ avprds()

subroutine avprds	(	integer(mpi), intent(in)	n,
		integer(mpl), intent(in)	l,
		real(mpd), dimension(n), intent(in)	x,
		integer(mpi), intent(in)	is,
		integer(mpi), intent(in)	ie,
		real(mpd), dimension(n), intent(out)	b
	)

Product symmetric (sub block) matrix times sparse vector.

A(sym) * X => B. (Cumultative). Used by MINRES method (Is most CPU intensive part). The matrix A is the global matrix in full symmetric or (compressed) sparse storage. In full symmetric storage it could be block diagonal (MATSTO=3) and only a single block is used in the product.

Parameters

[in]	n	size of matrix
[in]	l	offset of (sub block) parameter range
[in]	x	vector X
[in]	is	start of range x(is:ie)
[in]	ie	end of range x(is:ie)
[out]	b	result vector B

Definition at line 5794 of file pede.f90.

References mpmod::globalallindexgroups, mpmod::globalmatd, mpmod::globalmatf, mpmod::globalrowoffsets, mpmod::matsto, mpmod::mextnd, mpmod::mthrd, mpmod::napgrp, mpmod::nspc, peend(), mpmod::sparsematrixcolumns, and mpmod::sparsematrixoffsets.

Referenced by mchdec(), mdiags(), mdptrf(), mdutrf(), minver(), mminrs(), mminrsqlp(), and xloopn().

◆ avprod()

subroutine avprod	(	integer(mpi), intent(in)	n,
		real(mpd), dimension(n), intent(in)	x,
		real(mpd), dimension(n), intent(out)	b
	)

Product symmetric matrix times vector.

A(sym) * X => B. Used by MINRES method (Is most CPU intensive part). The matrix A is the global matrix in full symmetric or (compressed) sparse storage. Allows for size of X and smaller than size of matrix in case of solution with constriants by elimination.

Parameters

[in]	n	size of matrix ( <= size of global matrix)
[in]	x	vector X
[in]	b	result vector B

Definition at line 6270 of file pede.f90.

References avprd0(), mpmod::nagb, peend(), qlmlq(), mpmod::vecbav, and mpmod::vecxav.

Referenced by mminrs(), mminrsqlp(), solglo(), and solgloqlp().

◆ bincls()

subroutine bincls	(	integer(mpi), intent(in)	kfile,
		integer(mpi), intent(in)	ithr
	)

Close binary file.

Parameters

[in]	kfile	file number
[in]	ithr	thread number ([1..nthrd] - close and reopen) for C files

Definition at line 13346 of file pede.f90.

References closec(), and mpmod::nfilf.

Referenced by filetc(), and peread().

◆ binopn()

subroutine binopn	(	integer(mpi), intent(in)	kfile,
		integer(mpi), intent(in)	ithr,
		integer(mpi), intent(out)	ierr
	)

Open binary file.

Parameters

[in]	kfile	file number
[in]	ithr	thread number ([1..nthrd] - close and reopen) or 0 (next file - keep open) for C files
[out]	ierr	error flag

Definition at line 13250 of file pede.f90.

References mpmod::nfilf, openc(), peend(), mpmod::sfd, mpmod::tfd, and mpmod::yfd.

Referenced by filetc(), and peread().

◆ binrwd()

subroutine binrwd ( integer(mpi), intent(in) kfile )

Rewind binary file.

Parameters

[in] kfile file number

Definition at line 13381 of file pede.f90.

References mpmod::nfilf, and resetc().

Referenced by peread().

◆ chkmat()

subroutine chkmat

Check global matrix.

Definition at line 13492 of file pede.f90.

References mpmod::globalmatd, mpmod::globalrowoffsets, mpmod::matsto, and mpmod::nagb.

◆ chkrej()

subroutine chkrej

Check rejection details.

weighted rejection fraction
(bin) file with min/max rejection fraction

Definition at line 11229 of file pede.f90.

References mpmod::jfd, mpmod::kfd, mpmod::nfilb, mpmod::nfilw, and mpmod::wfd.

Referenced by xloopn().

◆ ckpgrp()

subroutine ckpgrp

Check (rank of) parameter groups.

Definition at line 13412 of file pede.f90.

References mpmod::globalallindexgroups, mpmod::globalparlabelindex, mpmod::globalparvartototal, mpmod::ndefpg, mpmod::nvpgrp, and sqminv().

Referenced by loopn().

◆ explfc()

subroutine explfc ( integer(mpi) lunit )

Print explanation of iteration table.

Definition at line 4000 of file pede.f90.

References mpmod::metsol.

Referenced by mptwo().

◆ feasib()

subroutine feasib	(	real(mps), intent(in)	concut,
		integer(mpi), intent(out)	iact
	)

Make parameters feasible.

Correct for constraint equation discrepancies.

Parameters

[in]	concut	cut for discrepancies
[out]	iact	=1 if correction needed, else =0

Definition at line 2428 of file pede.f90.

References dbsvx(), mpmod::globalparameter, mpmod::globalparlabelindex, mpmod::globalparvartototal, mpmod::listconstraints, mpmod::matconsgroups, mpmod::matconsproduct, mpmod::matconssort, mpmod::ncgb, mpmod::ncgrp, mpmod::nvgb, mpmod::vecconsresiduals, mpmod::vecconssolution, and mpmod::vecconsstart.

Referenced by xloopn().

◆ feasma()

subroutine feasma

Matrix for feasible solution.

Check rank of product matrix of constraints.

Definition at line 2253 of file pede.f90.

References mpmod::globalparameter, mpmod::globalparlabelindex, mpmod::globalparvartototal, mpmod::icelim, mpmod::icheck, mpmod::iforce, mpmod::isubit, mpmod::listconstraints, lpqldec(), mpmod::lunlog, mpmod::matconsblocks, mpmod::matconsgroups, mpmod::matconsproduct, mpmod::matconsranges, mpmod::matconssort, mpmod::matparblockoffsets, monend(), monini(), mpmod::monpg1, mpmod::monpg2, mpmod::mszcon, mpmod::mszprd, mpmod::ncgb, mpmod::ncgrp, mpmod::nfgb, mpmod::nmiss1, mpmod::npblck, mpmod::nvgb, peend(), qldecb(), qlgete(), qlini(), sqminv(), mpmod::vecconsresiduals, mpmod::vecconssolution, and mpmod::vecconsstart.

Referenced by loop2().

◆ filetc()

subroutine filetc

Interprete command line option, steering file.

Fetch and interprete command line options, if steering file specified, check file existence (calling NUFILE)

If no steering file specified, check default steering file.

Create test files for command line option '-t'.

Read steering file, print some lines, detect names of text and binary files, check file existence, store all file names.

Open all binary files.

Definition at line 11293 of file pede.f90.

References bincls(), binopn(), mpmod::cfd, mpmod::dfd, mpmod::filnam, mpmod::icheck, mpmod::ictest, mpmod::ifd, mpmod::ifile, mpmod::iforce, initc(), intext(), mpmod::isubit, mpmod::jfd, mpmod::keepopen, mpmod::kfd, mpmod::lfd, mpmod::mdebug, mpmod::mfd, mpmod::mprint, mptest(), mptst2(), mstart(), mpmod::mthrdr, mpmod::nfd, mpmod::nfilb, mpmod::nfilc, mpmod::nfiles, mpmod::nfilf, mpmod::nfilw, mpmod::nfnam, mpmod::ofd, peend(), ratext(), rltext(), mpmod::sfd, mpmod::tfd, mpmod::times, mpmod::wfd, mpmod::xfd, and mpmod::yfd.

Referenced by mptwo().

◆ filetx()

subroutine filetx

Interprete text files.

Reset flags and read steering and all other text files. Print some lines from each file.

Store parameter values, constraints and measurements.

Check flags METSOL (method of solution) and MATSTO (matrix storage mode). Set default values for flags, which are undefined.

Parameter values, format:

  1  label
  2  (initial) parameter value
  3  pre-sigma
  4  label
  5  (initial) parameter value
  6  pre-sigma
  7  label
...  ...
(number of words is multiple of 3)

Constraint data, format:

  1  -line_number      ! constraint header of four words:
  2  right-hand-side   ! 0 and -1 ...
  3  -1; -2            ! ... indicate (weighting) ...
  4  sigma             ! ... header
  5  label
  6  factor
  7  label
  8  factor
  9  ...
...  ...
(number of words is multiple of 2, at least 6)

Measured data, format:

  1  -line_number      ! constraint header of four words:
  2  right-hand-side   ! 0 and -1 ...
  3  -1                ! ... indicate ...
  4  sigma             ! ... header
  5  label
  6  factor
  7  label
  8  factor
  9  ...
...  ...
(number of words is multiple of 2, at least 6)

Definition at line 11769 of file pede.f90.

References mpmod::chicut, mpmod::chirem, mpmod::dwcut, mpmod::filnam, intext(), mpmod::lfd, mpmod::lhuber, mpmod::lsearch, mpmod::lunkno, mpmod::matsto, mpmod::mbandw, mend(), mpmod::metsol, mpmod::mfd, mpmod::mitera, mpmod::mpdbsz, mpmod::mprint, mpmod::nfd, mpmod::nfiles, mpmod::nfnam, mpmod::nummeasurements, peend(), rltext(), and mpmod::tfd.

Referenced by mptwo().

◆ getsums()

subroutine getsums	(	real(mpd), intent(out)	chi2,
		integer(mpl), intent(out)	ndf,
		real(mpd), intent(out)	wndf
	)

Get accurate sums.

Integrated over threads.

Parameters

[out]	chi2	(accurate) chi2 sum
[out]	ndf	ndf sum
[out]	wndf	weighted ndf sum

Definition at line 13571 of file pede.f90.

References mpmod::globalchi2sumd, mpmod::globalchi2sumi, mpmod::globalndfsum, and mpmod::globalndfsumw.

Referenced by loopn().

◆ grpcon()

subroutine grpcon

Group constraints.

Group constraints using all parameters (exploiting sparsity), resolve redundancy constraints.

Definition at line 1655 of file pede.f90.

References mpmod::globalparcons, mpmod::globalparlabelcounter, mpmod::globalparlabelindex, mpmod::icheck, mpmod::irslvrc, mpmod::lenconstraints, mpmod::listconstraints, mpmod::matconsgroups, mpmod::matconsranges, mpmod::matconssort, mpmod::ncgb, mpmod::ncgrp, mpmod::ntgb, sort1k(), sort2i(), and mpmod::vecconsstart.

Referenced by loop1().

◆ ijadd()

integer(mpl) function ijadd	(	integer(mpi), intent(in)	itema,
		integer(mpi), intent(in)	itemb
	)

Index for sparse storage (custom).

In case of (compressed) sparse storage calculate index for off-diagonal matrix element.

Parameters

[in]	itema	row number
[in]	itemb	column number

Returns: index (>(<) 0: double(single) precision element, =0: not existing)

Definition at line 6437 of file pede.f90.

References mpmod::globalallindexgroups, mpmod::globalallpartogroup, ijadd(), ijpgrp(), and mpmod::nagb.

Referenced by ijadd(), and matij().

◆ ijcsr3()

integer(mpl) function ijcsr3	(	integer(mpi), intent(in)	itema,
		integer(mpi), intent(in)	itemb
	)

Index for sparse storage (CSR3).

In case of sparse storage calculate index for off-diagonal matrix element.

Parameters

[in]	itema	row number
[in]	itemb	column number

Returns: index ( <=0: not existing)

Definition at line 6486 of file pede.f90.

References mpmod::csr3columnlist, mpmod::csr3rowoffsets, ijcsr3(), mpmod::nagb, and peend().

Referenced by ijcsr3(), and matij().

◆ ijpgrp()

subroutine ijpgrp	(	integer(mpi), intent(in)	itema,
		integer(mpi), intent(in)	itemb,
		integer(mpl), intent(out)	ij,
		integer(mpi), intent(out)	lr,
		integer(mpi), intent(out)	iprc
	)

Index (region length and precision) for sparse storage of parameter groups.

Calculate index for parameter group block matrix (region of continous groups)

Parameters

[in]	itema	row number
[in]	itemb	column number
[out]	ij	index of first element (>(<) 0: double(single) precision element, =0: not existing)
[out]	lr	length of region (2nd row in group has index ij+lr)
[out]	iprc	precision (1: REAL(mpd), 2: REAL(mps))

Definition at line 6310 of file pede.f90.

References mpmod::globalallindexgroups, mpmod::napgrp, mpmod::nspc, mpmod::sparsematrixcolumns, and mpmod::sparsematrixoffsets.

Referenced by ijadd(), ijprec(), and mgupdt().

◆ ijprec()

integer(mpi) function ijprec	(	integer(mpi), intent(in)	itema,
		integer(mpi), intent(in)	itemb
	)

Precision for storage of parameter groups.

Parameters

[in]	itema	row number
[in]	itemb	column number

Returns: precision (1: REAL(mpd), 2: REAL(mps))

Definition at line 6408 of file pede.f90.

References ijpgrp(), ijprec(), mpmod::matsto, and mpmod::nspc.

Referenced by ijprec().

◆ inone()

integer(mpi) function inone ( integer(mpi), intent(in) item )

Translate labels to indices (for global parameters).

Functions INONE and subroutine UPONE are used to collect items, i.e. labels, and to order and translate them.

In the first phase items are collected and stored by calling IRES=INONE(ITEM).

At the first entry the two sub-arrays "a" (globalParLabelIndex) and "b" (globalParHashTable) of length 2N are generated with a start length for N=128 entries. In array "a" two words are reserved for each item: (ITEM, count). The function INONE(ITEM) returns the number of the item. At each entry the argument is compared with the already stored items, new items are stored. Search for entries is done using hash-indices, stored in sub-array "b". The initial hash-index is

   j = 1 + mod(ITEM, n_prime) + N

where n_prime is the largest prime number less than N. At each entry the count is increased by one. If N items are stored, the size of the sub-arrays is increased by calling CALL UPONE.

Parameters

[in] item label

Returns: index

Definition at line 6734 of file pede.f90.

References mpmod::globalparhashtable, mpmod::globalparheader, mpmod::globalparlabelcounter, mpmod::globalparlabelindex, inone(), iprime(), mpmod::lunlog, mpmod::lvllog, and upone().

Referenced by inone().

◆ intext()

subroutine intext	(	character (len=*), intent(in)	text,
		integer(mpi), intent(in)	nline
	)

Interprete text.

Look for keywords and argument in text line.

Parameters

[in]	text	text
[in]	nline	line number

Definition at line 12092 of file pede.f90.

References additem(), additemc(), additemi(), mptext::keya, mptext::keyb, mptext::keyc, ratext(), and rltext().

Referenced by filetc(), and filetx().

◆ iprime()

integer(mpi) function iprime ( integer(mpi), intent(in) n )

largest prime number < N.

Parameters

[in] n N

Returns: largest prime number < N

Definition at line 6906 of file pede.f90.

References iprime(), mpdef::mpi, and mpdef::mps.

Referenced by inone(), and iprime().

◆ isjajb()

subroutine isjajb	(	integer(mpi), intent(in)	nst,
		integer(mpi), intent(inout)	is,
		integer(mpi), intent(out)	ja,
		integer(mpi), intent(out)	jb,
		integer(mpi), intent(out)	jsp
	)

Decode Millepede record.

Get indices JA, JB, IS for next measurement within record:

Measurement is: readBufferDataD(JA)
Local derivatives are: (readBufferDataI(JA+J),readBufferDataD(JA+J),J=1,JB-JA-1) i.e. JB-JA-1 derivatives
Standard deviation is: readBufferDataD(JB)
Global derivatives are: (readBufferDataI(JB+J),readBufferDataD(JB+J),J=1,IS-JB) i.e. IST-JB derivatives

End_of_data is indicated by returned values JA=0 and JB=0 Special data are ignored. At end_of_data the info to the special data is returned: IS = pointer to special data; number of words is NSP=-readBufferDataD(IS).

Parameters

[in]	nst	index of last word of record
[in,out]	is	index of last global derivative (index of first word of record at the first call)
[out]	ja	index of measured value (=0 at end), = pointer to local derivatives
[out]	jb	index of standard deviation (=0 at end), = pointer to global derivatives
[out]	jsp	index to special data

Definition at line 3383 of file pede.f90.

References mpmod::readbufferdatad, and mpmod::readbufferdatai.

Referenced by loop1i(), loop2(), loopbf(), pepgrp(), and peprep().

◆ loop1()

subroutine loop1

First data loop (get global labels).

Read all data files and add all labels to global labels table, add labels from parameters, constraints and measurements (from text files).

Define variable and fixed global parameters (depending on entries and pre-sigma).

Iterate if records had been skipped due to too small read buffer size.

Definition at line 6938 of file pede.f90.

References mpmod::globalparameter, mpmod::globalparcomments, mpmod::globalparcons, mpmod::globalparcopy, mpmod::globalparheader, mpmod::globalparlabelcounter, mpmod::globalparlabelindex, mpmod::globalparpresigma, mpmod::globalparpreweight, mpmod::globalparstart, mpmod::globalparvartototal, mpmod::globaltotindexgroups, grpcon(), hmpdef(), hmpent(), hmpldf(), hmplnt(), hmprnt(), hmpwrt(), mpmod::iteren, mpmod::lencomments, mpmod::lenconstraints, mpmod::lenmeasurements, mpmod::lenparameters, mpmod::lenpresigmas, mpmod::listcomments, mpmod::listconstraints, mpmod::listmeasurements, mpmod::listparameters, mpmod::listpresigmas, loop1i(), mpmod::lunlog, mpmod::mcount, mend(), mpmod::metsol, mpmod::mprint, mpmod::mreqena, mpmod::mreqenf, mpmod::mreqpe, mpmod::msngpe, mstart(), mpmod::mthrdr, mpmod::ncache, mpmod::ndgb, mpmod::ndimbuf, mpmod::negb, mpmod::neqn, mpmod::nhistp, mpmod::npresg, mpmod::nrec, mpmod::nrecal, mpmod::nrecd, mpmod::nregul, mpmod::ntgb, mpmod::ntpgrp, mpmod::nvgb, mpmod::nvpgrp, mpmod::nzgb, peend(), pepgrp(), peprep(), peread(), mpmod::readbufferdatad, mpmod::readbufferdataf, mpmod::readbufferdatai, mpmod::readbufferpointer, mpmod::regpre, mpmod::regula, mpmod::skippedrecords, and upone().

Referenced by mptwo().

◆ loop1i()

subroutine loop1i

Iteration of first data loop.

Read all data files again skipping measurements with any parameter below the entries cut to update the number of entries.

Redefine variable and fixed global parameters (depending on updated entries).

Definition at line 7305 of file pede.f90.

References mpmod::globalparheader, mpmod::globalparlabelcounter, mpmod::globalparlabelindex, isjajb(), mpmod::iteren, mpmod::lunlog, mpmod::mreqenf, mpmod::mthrdr, mpmod::ncache, mpmod::ndimbuf, mpmod::ntgb, mpmod::numreadbuffer, mpmod::nvgb, peprep(), peread(), mpmod::readbufferdatad, mpmod::readbufferdataf, mpmod::readbufferdatai, and mpmod::readbufferpointer.

Referenced by loop1().

◆ loop2()

subroutine loop2

Second data loop (number of derivatives, global label pairs).

Calculate maximum number of local, global derivatives and equations per record.

For sparse storage count index pairs with bit (field) counters to construct sparsity structure (row offsets, (compressed) column lists).

Determine read/write cache splitting from average record values (length, global par. vector/matrix).

Check constraints for rank deficit.

Definition at line 7417 of file pede.f90.

References anasps(), mpmod::appearancecounter, mpmod::backindexusage, ckbits(), clbits(), clbmap(), mpmod::csr3columnlist, mpmod::csr3rowoffsets, mpmod::dflim, mpmod::fcache, feasma(), ggbmap(), mpmod::globalallindexgroups, mpmod::globalallpartogroup, mpmod::globalindexranges, mpmod::globalindexusage, mpmod::globalparcons, mpmod::globalparlabelindex, mpmod::globalparlabelzeros, mpmod::globalparvartototal, mpmod::globalrowoffsets, mpmod::globaltotindexgroups, gpbmap(), hmpdef(), hmprnt(), hmpwrt(), mpmod::icelim, mpmod::icheck, mpmod::ifd, mpmod::imonit, inbits(), inbmap(), mpmod::ipdbsz, irbits(), isjajb(), mpmod::lenmeasurements, mpmod::listconstraints, mpmod::listmeasurements, mpmod::localglobalmap, mpmod::localglobalmatrix, mpmod::localglobalstructure, mpmod::lunlog, mpmod::lunmon, mpmod::matbsz, mpmod::matconsblocks, mpmod::matconssort, mpmod::matmon, mpmod::matparblockoffsets, mpmod::matsto, mpmod::mbandw, mpmod::mcount, mpmod::mdebg2, mpmod::mdebug, mpmod::measbins, mpmod::meashists, mpmod::measindex, mpmod::measres, mend(), mpmod::metsol, mpmod::mextnd, mpmod::mhispe, mpmod::mitera, mpmod::mpdbsz, mpmod::mprint, mpmod::mreqpe, mpmod::mrestl, mpmod::msngpe, mstart(), mpmod::mthrd, mpmod::mthrdr, mvopen(), mpmod::mxrec, mpmod::naeqn, mpmod::nagb, mpmod::nagbn, mpmod::nalcn, mpmod::napgrp, mpmod::ncache, mpmod::ncblck, mpmod::ncgb, mpmod::ncgbe, mpmod::ncgrp, ndbits(), mpmod::ndimbuf, mpmod::nfgb, mpmod::nhistp, mpmod::npblck, mpmod::nprecond, mpmod::nrec, mpmod::nspc, mpmod::ntgb, mpmod::ntpgrp, mpmod::nummeas, mpmod::numreadbuffer, mpmod::nvgb, mpmod::nvpgrp, mpmod::nzgb, mpmod::paircounter, pblbits(), pbsbits(), pcbits(), peend(), peprep(), peread(), plbits(), prbits(), prpcon(), mpmod::readbufferdatad, mpmod::readbufferdataf, mpmod::readbufferdatai, mpmod::readbufferpointer, sort1k(), mpmod::sparsematrixcolumns, mpmod::sparsematrixoffsets, spbits(), mpmod::vecconsgroupcounts, mpmod::vecconsstart, mpmod::vecparblockconoffsets, vmprep(), mpmod::wolfc1, mpmod::wolfc2, mpmod::writebufferdata, mpmod::writebufferheader, mpmod::writebufferindices, mpmod::writebufferinfo, and mpmod::writebufferupdates.

Referenced by mptwo().

◆ loopbf()

subroutine loopbf	(	integer(mpl), dimension(6), intent(inout)	nrej,
		integer(mpi), intent(in)	numfil,
		integer(mpi), dimension(numfil), intent(inout)	naccf,
		real(mps), dimension(numfil), intent(inout)	chi2f,
		integer(mpi), dimension(numfil), intent(inout)	ndff
	)

Loop over records in read buffer (block), fits and sums.

Loop over records in current read buffer block (with multiple threads). Perform local fits (optionally with outlier downweigthing) to calculate Chi2, ndf and r.h.s. 'b' of linear equation system A*x=b. In first iteration(s) fill global matrix A.

For the filling of the global matrix each thread creates from his share of local fits (small) udpdate matrices ( $\Vek{\D C}_1+\Vek{\D C}_2$ from equations (15), (16)) stored in a write buffer. After all events in the read buffer block have been processed the global matrix is being updated from the matrices in the write buffer in parallel (each row by different thread).

The matrices of the local fits are checked for bordered band structure. For border size b and band width m all elements (i,j) are zero for min(i,j)>b and abs(i-j)>m. For sufficient small (b,m) a solution by root free Cholesky decomposition and forward/backward substitution of the band part is much faster compared to inversion (see broken lines in references). Based on the expected computing cost the faster solution method is selected.

Parameters

[in,out]	nrej	number of rejected records
[in]	numfil	number of binary files
[in,out]	naccf	number of accepted records per binary file
[in,out]	chi2f	sum(chi2/ndf) per binary file
[in,out]	ndff	sum(ndf) per binary file

Definition at line 4344 of file pede.f90.

References addsums(), mpmod::aux, mpmod::backindexusage, mpmod::blvec, mpmod::chhuge, mpmod::chicut, mpmod::clmat, mpmod::cndlmx, dbavat(), dbavats(), mpmod::dwcut, mpmod::globalallindexgroups, mpmod::globalallpartogroup, mpmod::globalcounter, mpmod::globalindexusage, mpmod::globalparameter, mpmod::globalparlabelindex, mpmod::globalvector, gmpms(), hmpent(), mpmod::ibandh, mpmod::icalcm, mpmod::ifd, mpmod::imonit, mpmod::imonmd, isjajb(), mpmod::iterat, mpmod::lfitbb, mpmod::lfitnp, mpmod::lhuber, mpmod::localcorrections, mpmod::localequations, mpmod::localglobalmap, mpmod::localglobalmatrix, mpmod::localglobalstructure, mpmod::lunlog, mpmod::mdebug, mpmod::measbins, mpmod::measbinsize, mpmod::meashists, mpmod::measindex, mpmod::measres, mgupdt(), mpmod::monpg1, mpmod::mthrd, mpmod::naeqn, mpmod::nagb, mpmod::nagbn, mpmod::nbdrx, mpmod::nbndr, mpmod::nbndx, mpmod::newite, mpmod::nloopn, mpmod::nrec1, mpmod::nrec2, mpmod::nrec3, mpmod::nrecer, mpmod::nrecp2, mpmod::nrecpr, mpmod::nummeas, mpmod::numreadbuffer, mpmod::nvgb, peend(), mpmod::readbufferdatad, mpmod::readbufferdatai, mpmod::readbufferpointer, mpmod::scdiag, mpmod::scflag, sort1k(), sqmibb(), sqmibb2(), sqminv(), mpmod::value1, mpmod::value2, mpmod::vbdr, mpmod::vbk, mpmod::vbnd, mpmod::vzru, mpmod::writebufferdata, mpmod::writebufferheader, mpmod::writebufferindices, mpmod::writebufferinfo, and mpmod::writebufferupdates.

Referenced by loopn().

◆ loopn()

subroutine loopn

Loop with fits and sums.

Loop over all binary files. Perform local fits to calculate Chi2, ndf and r.h.s. 'b' of linear equation system A*x=b. In first iteration(s) fill matrix A.

Definition at line 3434 of file pede.f90.

References mpmod::actfun, addsums(), mpmod::angras, mpmod::cfd, mpmod::chicut, mpmod::chirem, ckpgrp(), mpmod::delfun, mpmod::dfd, mpmod::flines, mpmod::fvalue, getsums(), mpmod::globalcounter, mpmod::globalmatd, mpmod::globalmatf, mpmod::globalparameter, mpmod::globalparlabelindex, mpmod::globalparpreweight, mpmod::globalparvartototal, mpmod::globalvector, gmpdef(), gmpwrt(), hmpdef(), hmpent(), hmpwrt(), mpmod::icalcm, mpmod::ichkpg, mpmod::iforce, mpmod::iitera, mpmod::imonit, mpmod::indprecond, mpmod::isubit, mpmod::iterat, mpmod::jfd, mpmod::lenglobalvec, mpmod::lenmeasurements, mpmod::lfitnp, mpmod::listmeasurements, loopbf(), mpmod::matprecond, mpmod::mbandw, mpmod::meashists, mpmod::metsol, monres(), mpmod::mreqena, mpmod::mthrd, mupdat(), mpmod::nalow, mpmod::nbdrx, mpmod::nbndr, mpmod::nbndx, mpmod::ndefec, mpmod::ndfsum, mpmod::newite, mpmod::nfgb, mpmod::nfilb, mpmod::nfiles, mpmod::nhistp, mpmod::nloopn, mpmod::nrec1, mpmod::nrec2, mpmod::nrec3, mpmod::nrecer, mpmod::nrecp2, mpmod::nrecpr, mpmod::nregul, mpmod::nrejec, mpmod::nvgb, mpmod::nxlow, peprep(), peread(), mpmod::prange, prtrej(), mpmod::sumndf, and mpmod::writebufferheader.

Referenced by xloopn().

◆ lpavat()

subroutine lpavat ( logical, intent(in) t )

Similarity transformation by Q(t).

Similarity transformation for global matrix by Q from QL decomposition for unpacked storage using LAPACK.

Global matrix A is replaced by Q*A*Q^t (t=false) or Q^t*A*Q (t=true)

Parameters

[in] t use transposed of Q

Definition at line 9618 of file pede.f90.

References mpmod::globalmatd, mpmod::globalrowoffsets, mpmod::lapackql, mpmod::lapacktau, mpmod::lapackwork, mpmod::lplwrk, mpmod::matparblockoffsets, mpmod::npblck, and mpmod::vecparblockconoffsets.

Referenced by mdutrf(), and xloopn().

◆ lpqldec()

subroutine lpqldec	(	real(mpd), dimension(mszcon), intent(in)	a,
		real(mpd), intent(out)	emin,
		real(mpd), intent(out)	emax
	)

QL decomposition.

QL decomposition of constraints matrix for solution by elimination for unpacked storage using LAPACK. Optionally split into disjoint blocks.

Parameters

[in]	a	packed constraint matrix
[out]	emin	eigenvalue with smallest absolute value
[out]	emax	eigenvalue with largest absolute value

Definition at line 9496 of file pede.f90.

References mpmod::lapackql, mpmod::lapacktau, mpmod::lapackwork, mpmod::lplwrk, mpmod::matconsblocks, mpmod::matconsranges, mpmod::matparblockoffsets, mpmod::ncgb, mpmod::npblck, and mpmod::vecparblockconoffsets.

Referenced by feasma().

◆ matij()

real(mpd) function matij	(	integer(mpi), intent(in)	itema,
		integer(mpi), intent(in)	itemb
	)

Get matrix element at (i,j).

Parameters

[in]	itema	row number
[in]	itemb	column number

Returns: value

Definition at line 6544 of file pede.f90.

References mpmod::globalmatd, mpmod::globalmatf, mpmod::globalrowoffsets, ijadd(), ijcsr3(), mpmod::matbsz, matij(), mpmod::matsto, and mpmod::nagb.

Referenced by matij().

◆ mchdec()

subroutine mchdec

Solution by Cholesky decomposition.

Parallelized (CHDEC2), solve A*x=b with A=LDL^t positive definite.

Definition at line 9056 of file pede.f90.

References avprds(), chdec2(), chslv2(), mpmod::globalcorrections, mpmod::globalmatd, mpmod::globalrowoffsets, mpmod::icalcm, mpmod::icelim, mpmod::iforce, mpmod::isubit, mpmod::lunlog, mpmod::matparblockoffsets, monend(), monini(), mpmod::monpg1, mpmod::monpg2, mpmod::ndefec, mpmod::nfgb, mpmod::npblck, mpmod::nvgb, qlbsub(), qlmlq(), qlsetb(), qlssq(), mpmod::vecconsresiduals, mpmod::vecconssolution, and mpmod::vecparblockconoffsets.

Referenced by xloopn().

◆ mcsolv()

subroutine mcsolv	(	integer(mpi), intent(in)	n,
		real(mpd), dimension(n), intent(in)	x,
		real(mpd), dimension(n), intent(out)	y
	)

Solution for zero band width preconditioner.

Used by MINRES.

Parameters

[in]	n	size of vectors
[in]	x	rhs vector
[out]	y	result vector

Definition at line 10334 of file pede.f90.

References mpmod::blockprecond, mpmod::matprecond, mpmod::mszpcc, mpmod::nprecond, mpmod::nvgb, and presols().

Referenced by mminrs(), mminrsqlp(), solglo(), and solgloqlp().

◆ mdiags()

subroutine mdiags

Solution by diagonalization.

Definition at line 9944 of file pede.f90.

References avprds(), devrot(), devsig(), devsol(), mpmod::globalcorrections, mpmod::globalmatd, mpmod::globalrowoffsets, mpmod::globalvector, gmpdef(), gmprnt(), gmpwrt(), gmpxy(), hmpdef(), hmpent(), hmprnt(), hmpwrt(), mpmod::icalcm, mpmod::lunlog, monend(), monini(), mpmod::monpg1, mpmod::monpg2, mpmod::nagb, mpmod::ncgb, mpmod::nfgb, mpmod::nhistp, mpmod::nvgb, qlbsub(), qlmlq(), qlssq(), mpmod::vecconsresiduals, mpmod::vecconssolution, mpmod::workspaced, mpmod::workspacediag, mpmod::workspacediagonalization, mpmod::workspaceeigenvalues, mpmod::workspaceeigenvectors, and mpmod::workspacei.

Referenced by xloopn().

◆ mdptrf()

subroutine mdptrf

Solution by factorization.

Using LAPACK routines, packed storage (DyPTRF, DyPTRS) Solve A*x=b with A=LL^t positive definite (Cholesky, elimination) or with A=LDL^t indefinite (Bunch-Kaufman, Lagrange multipliers)

Definition at line 9168 of file pede.f90.

References avprds(), mpmod::globalcorrections, mpmod::globalmatd, mpmod::globalrowoffsets, mpmod::icalcm, mpmod::icelim, mpmod::ilperr, mpmod::lapackipiv, mpmod::lunlog, mpmod::matparblockoffsets, monend(), monini(), mpmod::monpg1, mpmod::monpg2, mpmod::nagb, mpmod::ndefec, mpmod::nfgb, mpmod::npblck, mpmod::nvgb, peend(), qlbsub(), qlmlq(), qlsetb(), qlssq(), mpmod::vecconsresiduals, mpmod::vecconssolution, mpmod::vecparblockconoffsets, and mpmod::workspacediag.

Referenced by xloopn().

◆ mdutrf()

subroutine mdutrf

Solution by factorization.

Using LAPACK routines, unpacked storage (DPOTRF/DSYTRF, DPOTRS/DSYTRS) Solve A*x=b with A=LL^t positive definite (Cholesky, elimination) or with A=LDL^t indefinite (Bunch-Kaufman, Lagrange multipliers)

Definition at line 9315 of file pede.f90.

References avprds(), mpmod::globalcorrections, mpmod::globalmatd, mpmod::globalrowoffsets, mpmod::icalcm, mpmod::icelim, mpmod::ilperr, mpmod::lapackipiv, mpmod::lapackql, mpmod::lapacktau, mpmod::lapackwork, lpavat(), mpmod::lplwrk, mpmod::lunlog, mpmod::matparblockoffsets, monend(), monini(), mpmod::monpg1, mpmod::monpg2, mpmod::nagb, mpmod::ndefec, mpmod::nfgb, mpmod::npblck, mpmod::nvgb, peend(), qlbsub(), qlmlq(), qlsetb(), qlssq(), mpmod::vecconsresiduals, mpmod::vecconssolution, mpmod::vecparblockconoffsets, and mpmod::workspacediag.

Referenced by xloopn().

◆ mend()

subroutine mend

End of 'module' printout.

Definition at line 13124 of file pede.f90.

References petime(), and mpmod::textl.

Referenced by filetx(), loop1(), loop2(), and xloopn().

◆ mgupdt()

subroutine mgupdt	(	integer(mpi), intent(in)	i,
		integer(mpi), intent(in)	j1,
		integer(mpi), intent(in)	j2,
		integer(mpi), intent(in)	il,
		integer(mpi), intent(in)	jl,
		integer(mpi), intent(in)	n,
		real(mpd), dimension((n*n+n)/2), intent(in)	sub
	)

Update global matrix for parameter group.

Add values -SUB to matrix elements (continous block in smaller index) .

Parameters

[in]	i	larger index
[in]	j1	smaller index first group
[in]	j2	smaller index last group
[in]	il	subtrahends first row
[in]	jl	subtrahends first col
[in]	n	size of (symmetric) subtrahends matrix
[in]	sub	subtrahends matrix ('small', number of elements fits in 'mpi')

Definition at line 4176 of file pede.f90.

References mpmod::csr3rowoffsets, mpmod::globalallindexgroups, mpmod::globalmatd, mpmod::globalmatf, mpmod::globalrowoffsets, ijpgrp(), mpmod::matbsz, and mpmod::matsto.

Referenced by loopbf().

◆ mhalf2()

subroutine mhalf2

Fill 2nd half of matrix for extended storage.

Definition at line 6602 of file pede.f90.

References mpmod::globalallindexgroups, mpmod::globalmatd, mpmod::globalmatf, mpmod::mthrd, mpmod::napgrp, mpmod::nspc, mpmod::sparsematrixcolumns, and mpmod::sparsematrixoffsets.

Referenced by xloopn().

◆ minver()

subroutine minver

Solution by matrix inversion.

Parallelized (SQMINL), solve A*x=b.

Definition at line 8943 of file pede.f90.

References avprds(), dbsvxl(), mpmod::globalcorrections, mpmod::globalmatd, mpmod::globalrowoffsets, mpmod::icalcm, mpmod::icelim, mpmod::iforce, mpmod::isubit, mpmod::lunlog, mpmod::matparblockoffsets, monend(), monini(), mpmod::monpg1, mpmod::monpg2, mpmod::nagb, mpmod::ndefec, mpmod::nfgb, mpmod::npblck, mpmod::nvgb, qlbsub(), qlmlq(), qlsetb(), qlssq(), sqminl(), mpmod::vecconsresiduals, mpmod::vecconssolution, mpmod::vecparblockconoffsets, mpmod::workspaced, mpmod::workspacediag, mpmod::workspacei, and mpmod::workspacerow.

Referenced by xloopn().

◆ mminrs()

subroutine mminrs

Solution with MINRES.

Solve A*x=b by minimizing |A*x-b| iteratively. Parallelized (AVPROD).

Use preconditioner with zero (precon) or finite (equdec) band width.

Definition at line 10130 of file pede.f90.

References avprd0(), avprds(), avprod(), mpmod::blockprecond, equdecs(), mpmod::globalcorrections, mpmod::icalcm, mpmod::iitera, mpmod::indprecond, mpmod::istopa, mpmod::lprecm, mpmod::lunlog, mpmod::matprecond, mpmod::mbandw, mcsolv(), minresmodule::minres(), mpmod::mnrsit, monend(), monini(), mpmod::monpg1, mpmod::monpg2, mpmod::mrestl, mpmod::mszpcc, mvsolv(), mpmod::nagb, mpmod::ncgb, mpmod::nfgb, mpmod::nprecond, mpmod::nvgb, precons(), qlbsub(), qlmlq(), qlpssq(), mpmod::vecbav, mpmod::vecconsresiduals, mpmod::vecconssolution, mpmod::vecxav, and mpmod::workspaced.

Referenced by xloopn().

◆ mminrsqlp()

subroutine mminrsqlp

Solution with MINRES-QLP.

Solve A*x=b by minimizing |A*x-b| iteratively. Parallelized (AVPROD).

Use preconditioner with zero (precon) or finite (equdec) band width.

Definition at line 10228 of file pede.f90.

References avprd0(), avprds(), avprod(), mpmod::blockprecond, equdecs(), mpmod::globalcorrections, mpmod::icalcm, mpmod::iitera, mpmod::indprecond, mpmod::istopa, mpmod::lprecm, mpmod::lunlog, mpmod::matprecond, mpmod::mbandw, mcsolv(), minresqlpmodule::minresqlp(), mpmod::mnrsit, monend(), monini(), mpmod::monpg1, mpmod::monpg2, mpmod::mrestl, mpmod::mrmode, mpmod::mrtcnd, mpmod::mszpcc, mvsolv(), mpmod::nagb, mpmod::ncgb, mpmod::nfgb, mpmod::nprecond, mpmod::nvgb, precons(), qlbsub(), qlmlq(), qlpssq(), mpmod::vecbav, mpmod::vecconsresiduals, mpmod::vecconssolution, mpmod::vecxav, and mpmod::workspaced.

Referenced by xloopn().

◆ monres()

subroutine monres

Monitor input residuals.

Read all data files again to monitor input residuals

Definition at line 8639 of file pede.f90.

References mpmod::globalparlabelindex, mpmod::imonmd, mpmod::lunmon, mpmod::measbins, mpmod::measbinsize, mpmod::meashists, mpmod::measindex, mpmod::measres, mpmod::mthrd, mpmod::nloopn, mpmod::ntgb, and mpmod::nummeas.

Referenced by loopn(), and xloopn().

◆ mptwo()

program mptwo

Millepede II main program Pede.

Definition at line 910 of file pede.f90.

References mpmod::cfd, mpmod::chicut, mpmod::chirem, mpmod::cpostproc, mptest1::del, mpmod::dfd, mptest1::dvd, mpmod::dwcut, explfc(), filetc(), filetx(), mpmod::globalchi2sumd, mpmod::globalchi2sumi, mpmod::globalmatd, mpmod::globalndfsum, mpmod::globalndfsumw, mpmod::globalparameter, mpmod::globalparlabelindex, gmpdef(), gmplun(), gmprnt(), gmpwrt(), gmpxy(), hmpdef(), hmpent(), hmplun(), hmprnt(), hmpwrt(), mpmod::icheck, mpmod::ictest, mpmod::ipdmem, mpmod::iteren, mpmod::jfd, mpmod::kfd, mpmod::lenpostproc, mpmod::lfitnp, mpmod::lhuber, loop1(), loop2(), mpmod::lunlog, mpmod::lunmon, mpmod::lvllog, mpdalc::maxwordsalloc, mpmod::memdbg, mpmod::metsol, mpmod::mnrsit, mpmod::mprint, mpmod::mreqenf, mstart(), mpmod::mthrd, mpmod::mthrdr, mvopen(), mpmod::ncache, mpmod::ncgbe, mpmod::nfilb, mpmod::nhistp, mpmod::nloopn, mptest2::nlyr, mptest2::nmx, mptest2::nmy, mptest1::nplan, mpmod::nrec1, mpmod::nrec2, mpmod::nrec3, mpmod::nrecp2, mpmod::nrecpr, mpmod::nrejec, mptest2::ntot, peend(), mpdalc::printflagalloc, prtrej(), prtstat(), mpmod::readbufferinfo, mptest2::sdevx, mptest2::sdevy, sechms(), mpmod::times, mpmod::value1, mpmod::value2, and xloopn().

◆ mspardiso()

subroutine mspardiso

Solution with Intel(R) oneAPI Math Kernel Library (oneMKL) PARDISO.

Sparse matrix

Definition at line 9715 of file pede.f90.

References mpmod::csr3columnlist, mpmod::csr3rowoffsets, mpmod::globalcorrections, mpmod::globalmatd, mpmod::icalcm, mpmod::ipddbg, mpmod::ipdmem, mpmod::lenpardiso, mpmod::listpardiso, mpmod::lunlog, mpmod::matbsz, monend(), monini(), mpmod::monpg1, mpmod::monpg2, mpmod::nfgb, mpmod::nvgb, and peend().

Referenced by xloopn().

◆ mstart()

subroutine mstart ( character (len=*), intent(in) text )

Start of 'module' printout.

Definition at line 13088 of file pede.f90.

References mpmod::textl.

Referenced by filetc(), loop1(), loop2(), and mptwo().

◆ mupdat()

subroutine mupdat	(	integer(mpi), intent(in)	i,
		integer(mpi), intent(in)	j,
		real(mpd), intent(in)	add
	)

Update element of global matrix.

Add value ADD to matrix element (I,J).

Parameters

[in]	i	first index
[in]	j	second index
[in]	add	summand

Definition at line 4091 of file pede.f90.

References mpmod::globalmatd, mpmod::globalmatf, mpmod::globalrowoffsets, mpmod::indprecond, mpmod::matbsz, mpmod::matprecond, mpmod::matsto, mpmod::mbandw, mpmod::metsol, mpmod::nvgb, mpmod::offprecond, and peend().

Referenced by addcst(), and loopn().

◆ mvopen()

subroutine mvopen	(	integer(mpi), intent(in)	lun,
		character (len=*), intent(in)	fname
	)

Open file.

Evtl. move existing file to ~ version.

Parameters

[in]	lun	unit number
[in]	fname	file name

Definition at line 13141 of file pede.f90.

References peend().

Referenced by loop2(), mptwo(), peend(), prtglo(), and prtstat().

◆ mvsolv()

subroutine mvsolv	(	integer(mpi), intent(in)	n,
		real(mpd), dimension(n), intent(in)	x,
		real(mpd), dimension(n), intent(out)	y
	)

Solution for finite band width preconditioner.

Used by MINRES.

Parameters

[in]	n	size of vectors
[in]	x	rhs vector
[out]	y	result vector

Definition at line 10355 of file pede.f90.

References mpmod::blockprecond, equslvs(), mpmod::indprecond, mpmod::matprecond, mpmod::mszpcc, and mpmod::nprecond.

Referenced by mminrs(), mminrsqlp(), solglo(), and solgloqlp().

◆ nufile()

integer(mpi) function nufile ( character (len=*), intent(inout) fname )

Inquire on file.

Result = 1 for existing binary file, =2 for existing text file, else =0, < 0 open error.

Text file names are recognized by the filename extension, which should contain 'xt' or 'tx'.

Parameters

[in,out] fname file name, optionaly strip prefix.

Definition at line 12035 of file pede.f90.

References matint(), and nufile().

Referenced by nufile().

◆ pargrp()

subroutine pargrp	(	integer(mpi), intent(in)	inds,
		integer(mpi), intent(in)	inde
	)

Parameter group info update for block of parameters.

Build and split groups (defined by common first parameter).

Parameters

[in]	inds	index of first parmeters in read buffer
[in]	inde	index of last parmeters in read buffer

Definition at line 3266 of file pede.f90.

References mpmod::globalparheader, mpmod::globalparlabelcounter, mpmod::globalparlabelindex, and mpmod::readbufferdatai.

Referenced by pepgrp().

◆ pechk()

subroutine pechk	(	integer(mpi), intent(in)	ibuf,
		integer(mpi), intent(out)	nerr
	)

Check Millepede record.

Check integer structure of labels and markers (zeros). Check floats for NaNs.

Parameters

[in]	ibuf	buffer number
[out]	nerr	error flags

Definition at line 3040 of file pede.f90.

References mpmod::readbufferdatad, mpmod::readbufferdatai, and mpmod::readbufferpointer.

Referenced by peprep().

◆ peend()

subroutine peend	(	integer(mpi), intent(in)	icode,
		character (len=*), intent(in)	cmessage
	)

Print exit code.

Print exit code and message.

Parameters

[in]	icode	exit code
[in]	cmessage	exit massage

Definition at line 13229 of file pede.f90.

References mvopen().

Referenced by avprd0(), avprds(), avprod(), binopn(), devrot(), feasma(), filetc(), filetx(), ijcsr3(), loop1(), loop2(), loopbf(), mdptrf(), mdutrf(), mpdalc::mpalloccheck(), mpdalc::mpdealloccheck(), mptwo(), mspardiso(), mupdat(), mvopen(), peprep(), peread(), sort1k(), sort22l(), sort2i(), sort2k(), vmprep(), and xloopn().

◆ pepgrp()

subroutine pepgrp

Parameter group info update.

Group parameters on level of equations or records (counting in addition).

Definition at line 3112 of file pede.f90.

References mpmod::backindexusage, mpmod::globalparheader, isjajb(), mpmod::mcount, mpmod::mthrd, mpmod::numreadbuffer, mpmod::nzgb, pargrp(), mpmod::readbufferdatad, mpmod::readbufferdatai, mpmod::readbufferpointer, sort1k(), and useone().

Referenced by loop1().

◆ peprep()

subroutine peprep ( integer(mpi), intent(in) mode )

Prepare records.

For global parameters replace label by index (INONE).

Parameters

[in] mode <=0: build index table (INONE) for global variables;
>0: use index table, can be parallelized, optional scale errors

Definition at line 2939 of file pede.f90.

References mpmod::dscerr, mpmod::iscerr, isjajb(), mpmod::mthrd, mpmod::ndgb, mpmod::negb, mpmod::neqn, mpmod::numreadbuffer, pechk(), peend(), mpmod::readbufferdatad, mpmod::readbufferdatai, and mpmod::readbufferpointer.

Referenced by loop1(), loop1i(), loop2(), and loopn().

◆ peread()

subroutine peread ( integer(mpi), intent(out) more )

Read (block of) records from binary files.

Optionally using several threads (each file read by single thread). Records larger than the read buffer (ndimbuf) are skipped. In case of skipped events in the first loop over all binary files the buffer size is adapted to the maximum record size (and the initial loop (LOOP1) is repeated). C binary files are handled by readc.c and may be gzipped.

Parameters

[out] more more records to come

The records consist of parallel integer and real arrays:

    real array              integer array
1   0.0                     error count (this record)
2   RMEAS, measured value   0                            JA
3   local derivative        index of local derivative
4   local derivative        index of local derivative
5    ...
6   SIGMA, error (>0)       0                            JB
    global derivative       label of global derivative
    global derivative       label of global derivative   IST
    RMEAS, measured value   0
    local derivative        index of local derivative
    local derivative        index of local derivative
    ...
    SIGMA, error            0
    global derivative       label of global derivative
    global derivative       label of global derivative
    ...
NR  global derivative       label of global derivative

Definition at line 2589 of file pede.f90.

References bincls(), binopn(), binrwd(), hmpent(), hmplnt(), mpmod::icheck, mpmod::ifd, mpmod::ifile, mpmod::ireeof, mpmod::keepopen, mpmod::kfd, mpmod::lunlog, mpmod::maxrecordsinblock, mpmod::minrecordsinblock, mpmod::mprint, mpmod::mthrdr, mpmod::mxrec, mpmod::ncache, mpmod::ndimbuf, mpmod::nfilb, mpmod::nfilf, mpmod::nfilw, mpmod::nloopn, mpmod::nrderr, mpmod::nrec, mpmod::nrecd, mpmod::numblocks, mpmod::numreadbuffer, peend(), mpmod::readbufferdatad, mpmod::readbufferdataf, mpmod::readbufferdatai, mpmod::readbufferinfo, mpmod::readbufferpointer, readc(), mpmod::skippedrecords, sort2k(), mpmod::sumrecords, mpmod::wfd, and mpmod::xfd.

Referenced by loop1(), loop1i(), loop2(), and loopn().

◆ petime()

subroutine petime

Print times.

Print the elapsed and total time.

Definition at line 13178 of file pede.f90.

References mpdef::mpi.

Referenced by mend().

◆ ploopa()

subroutine ploopa ( integer(mpi), intent(in) lunp )

Print title for iteration.

Parameters

[in] lunp unit number

Definition at line 3848 of file pede.f90.

Referenced by xloopn().

◆ ploopb()

subroutine ploopb ( integer(mpi), intent(in) lunp )

Print iteration line.

Parameters

[in] lunp unit number

Definition at line 3869 of file pede.f90.

References mpmod::angras, mpmod::chicut, mpmod::delfun, mpmod::deltim, mpmod::fvalue, mpmod::iitera, mpmod::istopa, mpmod::iterat, mpmod::lcalcm, mpmod::lsinfo, mpmod::nloopn, mpmod::nrejec, ptlopt(), mpmod::rstart, sechms(), and mpmod::stepl.

Referenced by xloopn().

◆ ploopc()

subroutine ploopc ( integer(mpi), intent(in) lunp )

Print sub-iteration line.

Parameters

[in] lunp unit number

Definition at line 3926 of file pede.f90.

References mpmod::deltim, mpmod::fvalue, mpmod::lcalcm, mpmod::lsinfo, mpmod::nloopn, mpmod::nrejec, ptlopt(), mpmod::rstart, sechms(), and mpmod::stepl.

Referenced by xloopn().

◆ ploopd()

subroutine ploopd ( integer(mpi), intent(in) lunp )

Print solution line.

Parameters

[in] lunp unit number

Definition at line 3974 of file pede.f90.

References mpmod::deltim, mpmod::lcalcm, mpmod::rstart, and sechms().

Referenced by xloopn().

◆ prpcon()

subroutine prpcon

Prepare constraints.

Check constraints, combine groups into non overlapping blocks.

Definition at line 1953 of file pede.f90.

References mpmod::globalindexranges, mpmod::globalparcons, mpmod::globalparlabelindex, mpmod::icheck, mpmod::iskpec, mpmod::lenconstraints, mpmod::listconstraints, mpmod::matconsblocks, mpmod::matconsgroups, mpmod::matconsranges, mpmod::matconssort, mpmod::mszcon, mpmod::mszprd, mpmod::ncblck, mpmod::ncgb, mpmod::ncgbe, mpmod::ncgrp, mpmod::ntgb, and mpmod::vecconsstart.

Referenced by loop2().

◆ prtglo()

subroutine prtglo

Print final log file.

For each global parameter:

label (I10)
parameter value (G14.5)
presigma (G14.5)
difference of parameters values (G14.5)
difference at last iteration (G14.5)
error (standard deviation) (G14.5)
global correlation (F8.3), on request only
Entries from binary files or during iterations

Definition at line 5416 of file pede.f90.

References mpmod::globalcounter, mpmod::globalmatd, mpmod::globalparameter, mpmod::globalparcomments, mpmod::globalparlabelcounter, mpmod::globalparlabelindex, mpmod::globalparlabelzeros, mpmod::globalparpresigma, mpmod::globalparstart, mpmod::globalparvartototal, mpmod::globalrowoffsets, mpmod::igcorr, mpmod::ipcntr, mpmod::listcomments, mpmod::metsol, mpmod::mreqena, mvopen(), mpmod::nagb, mpmod::ntgb, mpmod::nvgb, mpmod::workspacediag, mpmod::workspaceeigenvalues, and mpmod::workspaceeigenvectors.

Referenced by fitglo(), and xloopn().

◆ prtrej()

subroutine prtrej ( integer(mpi), intent(in) lun )

Print rejection statistics.

Definition at line 5387 of file pede.f90.

References mpmod::nrejec.

Referenced by loopn(), mptwo(), and xloopn().

◆ prtstat()

subroutine prtstat

Print input statistic.

For each global parameter:

label (I10)
parameter value (G14.5)
presigma (G14.5)
difference of parameters values (G14.5), = 0.
Entries from binary files

Definition at line 5603 of file pede.f90.

References mpmod::appearancecounter, ggbmap(), mpmod::globalparameter, mpmod::globalparcomments, mpmod::globalparcons, mpmod::globalparlabelcounter, mpmod::globalparlabelindex, mpmod::globalparlabelzeros, mpmod::globalparpresigma, mpmod::globalparvartototal, mpmod::globaltotindexgroups, mpmod::icheck, mpmod::ipcntr, mpmod::listcomments, mpmod::matconsgroups, mvopen(), mpmod::ncgrp, mpmod::ntgb, mpmod::ntpgrp, mpmod::paircounter, and mpmod::vecconsgroupcounts.

Referenced by mptwo().

◆ sechms()

subroutine sechms	(	real(mps), intent(in)	deltat,
		integer(mpi), intent(out)	nhour,
		integer(mpi), intent(out)	minut,
		real(mps), intent(out)	secnd
	)

Time conversion.

Convert from seconds to hours, minues, seconds

Parameters

[in]	deltat	time in seconds
[out]	nhour	hours
[out]	minut	minutes
[out]	secnd	seconds

Definition at line 6689 of file pede.f90.

References mpdef::mpi.

Referenced by mptwo(), ploopb(), ploopc(), and ploopd().

◆ solglo()

subroutine solglo ( integer(mpi), intent(in) ivgbi )

Error for single global parameter from MINRES.

Calculate single row 'x_i' from inverse matrix by solving A*x_i=b with b=0 except b_i=1.

Parameters

[in] ivgbi index of variable parameter

Definition at line 1414 of file pede.f90.

References avprod(), mpmod::globalcorrections, mpmod::globalparameter, mpmod::globalparlabelindex, mpmod::globalparpresigma, mpmod::globalparstart, mpmod::globalparvartototal, mpmod::globalvector, mpmod::mbandw, mcsolv(), minresmodule::minres(), mpmod::mrestl, mvsolv(), and mpmod::nagb.

Referenced by xloopn().

◆ solgloqlp()

subroutine solgloqlp ( integer(mpi), intent(in) ivgbi )

Error for single global parameter from MINRES-QLP.

Calculate single row 'x_i' from inverse matrix by solving A*x_i=b with b=0 except b_i=1.

Parameters

[in] ivgbi index of variable parameter

Definition at line 1498 of file pede.f90.

References avprod(), mpmod::globalcorrections, mpmod::globalparameter, mpmod::globalparlabelindex, mpmod::globalparpresigma, mpmod::globalparstart, mpmod::globalparvartototal, mpmod::globalvector, mpmod::mbandw, mcsolv(), minresqlpmodule::minresqlp(), mpmod::mrestl, mpmod::mrmode, mpmod::mrtcnd, mvsolv(), and mpmod::nagb.

Referenced by xloopn().

◆ upone()

subroutine upone

Update, redefine hash indices.

Definition at line 6804 of file pede.f90.

References mpmod::globalparhashtable, mpmod::globalparheader, mpmod::globalparlabelcounter, mpmod::globalparlabelindex, mpmod::lunlog, mpmod::lvllog, and sort22l().

Referenced by inone(), and loop1().

◆ useone()

subroutine useone

Make usable (sort items and redefine hash indices).

Definition at line 6874 of file pede.f90.

References mpmod::globalparhashtable, mpmod::globalparheader, mpmod::globalparlabelcounter, mpmod::globalparlabelindex, and sort22l().

Referenced by pepgrp().

◆ vmprep()

subroutine vmprep ( integer(mpl), dimension(2), intent(in) msize )

Prepare storage for vectors and matrices.

Parameters

[in] msize number of words for storage of global matrix (double, single prec.)

Definition at line 8746 of file pede.f90.

References mpmod::aux, mpmod::blockprecond, mpmod::blvec, mpmod::clmat, mpmod::globalcorrections, mpmod::globalcounter, mpmod::globalmatd, mpmod::globalmatf, mpmod::globalvector, mpmod::ibandh, mpmod::icelim, mpmod::ilperr, mpmod::indprecond, mpmod::lapackipiv, mpmod::lapackwork, mpmod::lenglobalvec, mpmod::localcorrections, mpmod::localequations, mpmod::lplwrk, mpmod::matconsblocks, mpmod::matparblockoffsets, mpmod::matprecond, mpmod::mbandw, mpmod::metsol, mpmod::mszpcc, mpmod::mthrd, mpmod::naeqn, mpmod::nagb, mpmod::nalcn, mpmod::ncblck, mpmod::nfgb, mpmod::npblck, mpmod::nvgb, mpmod::offprecond, peend(), mpmod::scdiag, mpmod::scflag, mpmod::vbdr, mpmod::vbk, mpmod::vbnd, mpmod::vecbav, mpmod::vecparblockconoffsets, mpmod::vecxav, mpmod::vzru, mpmod::workspaced, mpmod::workspacediag, mpmod::workspacediagonalization, mpmod::workspaceeigenvalues, mpmod::workspaceeigenvectors, mpmod::workspacei, mpmod::workspacelinesearch, and mpmod::workspacerow.

Referenced by loop2().

◆ xloopn()

subroutine xloopn

Standard solution algorithm.

Iterative solution. In current iteration calculate:

ICALCM = +1   Matrix, gradient, Function value & solution
ICALCM =  0   gradient, Function value
ICALCM = -1   solution
ICALCM = -2   end

Solution is obtained by selected method and improved by line search.

Definition at line 10388 of file pede.f90.

References addcst(), mpmod::angras, avprds(), mpmod::chicut, mpmod::chirem, chkrej(), mpmod::delfun, mpmod::deltim, mpmod::dflim, mpmod::dscerr, mpmod::dwcut, feasib(), mpmod::flines, mpmod::fvalue, mpmod::globalcorrections, mpmod::globalmatd, mpmod::globalparameter, mpmod::globalparcopy, mpmod::globalparlabelindex, mpmod::globalparvartototal, mpmod::globalrowoffsets, mpmod::globalvector, gmpxy(), gmpxyd(), mpmod::icalcm, mpmod::icelim, mpmod::iitera, mpmod::ilperr, mpmod::imonit, mpmod::ipcntr, mpmod::iscerr, mpmod::isubit, mpmod::iterat, mpmod::lapackipiv, mpmod::lbmnrs, mpmod::lcalcm, mpmod::lhuber, loopn(), lpavat(), mpmod::lprecm, mpmod::lsearch, mpmod::lsinfo, mpmod::lunlog, mpmod::lunmon, mpmod::matbsz, mpmod::matparblockoffsets, mpmod::matrit, mpmod::matsto, mpmod::mbandw, mchdec(), mdiags(), mdptrf(), mdutrf(), mend(), mpmod::metsol, mpmod::mextnd, mhalf2(), minver(), mpmod::mitera, mminrs(), mminrsqlp(), mpmod::mnrsel, monend(), monini(), mpmod::monpg1, mpmod::monpg2, monres(), mpmod::mrmode, mpmod::mrtcnd, mspardiso(), mpmod::nagb, mpmod::nalow, mpmod::ncgbe, mpmod::ndefec, mpmod::ndefpg, mpmod::ndfsum, mpmod::nfgb, mpmod::nfilw, mpmod::nloopn, mpmod::nmiss1, mpmod::nofeas, mpmod::npblck, mpmod::npresg, mpmod::nrderr, mpmod::nrecal, mpmod::nregul, mpmod::nrejec, mpmod::nvgb, mpmod::nxlow, peend(), ploopa(), ploopb(), ploopc(), ploopd(), prtglo(), prtrej(), ptldef(), ptline(), ptlprt(), qlssq(), mpmod::regpre, mpmod::regula, mpmod::rstart, solglo(), solgloqlp(), mpmod::stepl, mpmod::sumndf, mpmod::times, mpmod::vecparblockconoffsets, mpmod::wolfc2, mpmod::workspaced, mpmod::workspacediag, mpmod::workspacelinesearch, and zdiags().

Referenced by mptwo().

◆ zdiags()

subroutine zdiags

Covariance matrix for diagonalization (,correction of eigenvectors).

Definition at line 10093 of file pede.f90.

References devinv(), mpmod::globalmatd, mpmod::nfgb, mpmod::nvgb, qlmlq(), mpmod::workspaceeigenvalues, and mpmod::workspaceeigenvectors.

Referenced by xloopn().

Functions/Subroutines

Detailed Description

Function/Subroutine Documentation

◆ addcst()

◆ additem()

◆ additemc()

◆ additemi()

◆ addsums()

◆ anasps()

◆ avprd0()

◆ avprds()

◆ avprod()

◆ bincls()

◆ binopn()

◆ binrwd()

◆ chkmat()

◆ chkrej()

◆ ckpgrp()

◆ explfc()

◆ feasib()

◆ feasma()

◆ filetc()

◆ filetx()

◆ getsums()

◆ grpcon()

◆ ijadd()

◆ ijcsr3()

◆ ijpgrp()

◆ ijprec()

◆ inone()

◆ intext()

◆ iprime()

◆ isjajb()

◆ loop1()

◆ loop1i()

◆ loop2()

◆ loopbf()

◆ loopn()

◆ lpavat()

◆ lpqldec()

◆ matij()

◆ mchdec()

◆ mcsolv()

◆ mdiags()

◆ mdptrf()

◆ mdutrf()

◆ mend()

◆ mgupdt()

◆ mhalf2()

◆ minver()

◆ mminrs()

◆ mminrsqlp()

◆ monres()

◆ mptwo()

◆ mspardiso()

◆ mstart()

◆ mupdat()

◆ mvopen()

◆ mvsolv()

◆ nufile()

◆ pargrp()

◆ pechk()

◆ peend()

◆ pepgrp()

◆ peprep()

◆ peread()

◆ petime()

◆ ploopa()

◆ ploopb()

◆ ploopc()

◆ ploopd()

◆ prpcon()

◆ prtglo()

◆ prtrej()

◆ prtstat()

◆ sechms()

◆ solglo()

◆ solgloqlp()

◆ upone()

◆ useone()