added minpack and slatec license and readme

Minpack Copyright Notice (1999) University of Chicago.  All rights reserved

Redistribution and use in source and binary forms, with or

without modification, are permitted provided that the

following conditions are met:

1. Redistributions of source code must retain the above

copyright notice, this list of conditions and the following

disclaimer.

2. Redistributions in binary form must reproduce the above

copyright notice, this list of conditions and the following

disclaimer in the documentation and/or other materials

provided with the distribution.

3. The end-user documentation included with the

redistribution, if any, must include the following

acknowledgment:

   "This product includes software developed by the

   University of Chicago, as Operator of Argonne National

   Laboratory.

Alternately, this acknowledgment may appear in the software

itself, if and wherever such third-party acknowledgments

normally appear.

4. WARRANTY DISCLAIMER. THE SOFTWARE IS SUPPLIED "AS IS"

WITHOUT WARRANTY OF ANY KIND. THE COPYRIGHT HOLDER, THE

UNITED STATES, THE UNITED STATES DEPARTMENT OF ENERGY, AND

THEIR EMPLOYEES: (1) DISCLAIM ANY WARRANTIES, EXPRESS OR

IMPLIED, INCLUDING BUT NOT LIMITED TO ANY IMPLIED WARRANTIES

OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE, TITLE

OR NON-INFRINGEMENT, (2) DO NOT ASSUME ANY LEGAL LIABILITY

OR RESPONSIBILITY FOR THE ACCURACY, COMPLETENESS, OR

USEFULNESS OF THE SOFTWARE, (3) DO NOT REPRESENT THAT USE OF

THE SOFTWARE WOULD NOT INFRINGE PRIVATELY OWNED RIGHTS, (4)

DO NOT WARRANT THAT THE SOFTWARE WILL FUNCTION

UNINTERRUPTED, THAT IT IS ERROR-FREE OR THAT ANY ERRORS WILL

BE CORRECTED.

5. LIMITATION OF LIABILITY. IN NO EVENT WILL THE COPYRIGHT

HOLDER, THE UNITED STATES, THE UNITED STATES DEPARTMENT OF

ENERGY, OR THEIR EMPLOYEES: BE LIABLE FOR ANY INDIRECT,

INCIDENTAL, CONSEQUENTIAL, SPECIAL OR PUNITIVE DAMAGES OF

ANY KIND OR NATURE, INCLUDING BUT NOT LIMITED TO LOSS OF

PROFITS OR LOSS OF DATA, FOR ANY REASON WHATSOEVER, WHETHER

SUCH LIABILITY IS ASSERTED ON THE BASIS OF CONTRACT, TORT

(INCLUDING NEGLIGENCE OR STRICT LIABILITY), OR OTHERWISE,

EVEN IF ANY OF SAID PARTIES HAS BEEN WARNED OF THE

POSSIBILITY OF SUCH LOSS OR DAMAGES.

3. Quick Guide for SNS-NSE Data Reduction Software DrSpine., Stingaciu, L. R. & Zolnierczuk, P. A.;  https://doi.org/10.2172/1883898 

Acknowledgements

---------------

This program uses subroutines from the following software

1. Slatec  https://www.netlib.org/slatec/

2. Minpack https://www.netlib.org/minpack			Copyright University of Chicago.

3. Linenoise https://github.com/antirez/linenoise	Copyright Salvatore Sanfilippo and Pieter Noordhuis.

====== readme for minpack ======

Minpack includes software for solving nonlinear equations and

nonlinear least squares problems.  Five algorithmic paths each include

a core subroutine and an easy-to-use driver.  The algorithms proceed

either from an analytic specification of the Jacobian matrix or

directly from the problem functions.  The paths include facilities for

systems of equations with a banded Jacobian matrix, for least squares

problems with a large amount of data, and for checking the consistency

of the Jacobian matrix with the functions.

This directory contains the double-precision versions.

Jorge More', Burt Garbow, and Ken Hillstrom at Argonne National Laboratory.

For copyright information see;           

http://www.netlib.org/minpack/disclaimer

 ===== readme for slatec =====

SLATEC Common Mathematical Library, Version 4.1, July 1993

a comprehensive software library containing over

1400 general purpose mathematical and statistical routines

written in Fortran 77.

!! Minpack includes software for solving nonlinear equations and

!! nonlinear least squares problems.  Five algorithmic paths each include

!! a core subroutine and an easy-to-use driver.  The algorithms proceed

!! either from an analytic specification of the Jacobian matrix or

!! directly from the problem functions.  The paths include facilities for

!! systems of equations with a banded Jacobian matrix, for least squares

!! problems with a large amount of data, and for checking the consistency

!! of the Jacobian matrix with the functions.

!! https://netlib.org/minpack

!!

!! Jorge More', Burt Garbow, and Ken Hillstrom at Argonne National Laboratory.

!!

!!

!! Minpack Copyright Notice (1999) University of Chicago.  All rights reserved

!!

!! Redistribution and use in source and binary forms, with or

!! without modification, are permitted provided that the

!! following conditions are met:

!!

!! 1. Redistributions of source code must retain the above

!! copyright notice, this list of conditions and the following

!! disclaimer.

!!

!! 2. Redistributions in binary form must reproduce the above

!! copyright notice, this list of conditions and the following

!! disclaimer in the documentation and/or other materials

!! provided with the distribution.

!!

!! 3. The end-user documentation included with the

!! redistribution, if any, must include the following

!! acknowledgment:

!!

!!    "This product includes software developed by the

!!    University of Chicago, as Operator of Argonne National

!!    Laboratory.

!!

!! Alternately, this acknowledgment may appear in the software

!! itself, if and wherever such third-party acknowledgments

!! normally appear.

!!

!! 4. WARRANTY DISCLAIMER. THE SOFTWARE IS SUPPLIED "AS IS"

!! WITHOUT WARRANTY OF ANY KIND. THE COPYRIGHT HOLDER, THE

!! UNITED STATES, THE UNITED STATES DEPARTMENT OF ENERGY, AND

!! THEIR EMPLOYEES: (1) DISCLAIM ANY WARRANTIES, EXPRESS OR

!! IMPLIED, INCLUDING BUT NOT LIMITED TO ANY IMPLIED WARRANTIES

!! OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE, TITLE

!! OR NON-INFRINGEMENT, (2) DO NOT ASSUME ANY LEGAL LIABILITY

!! OR RESPONSIBILITY FOR THE ACCURACY, COMPLETENESS, OR

!! USEFULNESS OF THE SOFTWARE, (3) DO NOT REPRESENT THAT USE OF

!! THE SOFTWARE WOULD NOT INFRINGE PRIVATELY OWNED RIGHTS, (4)

!! DO NOT WARRANT THAT THE SOFTWARE WILL FUNCTION

!! UNINTERRUPTED, THAT IT IS ERROR-FREE OR THAT ANY ERRORS WILL

!! BE CORRECTED.

!!

!! 5. LIMITATION OF LIABILITY. IN NO EVENT WILL THE COPYRIGHT

!! HOLDER, THE UNITED STATES, THE UNITED STATES DEPARTMENT OF

!! ENERGY, OR THEIR EMPLOYEES: BE LIABLE FOR ANY INDIRECT,

!! INCIDENTAL, CONSEQUENTIAL, SPECIAL OR PUNITIVE DAMAGES OF

!! ANY KIND OR NATURE, INCLUDING BUT NOT LIMITED TO LOSS OF

!! PROFITS OR LOSS OF DATA, FOR ANY REASON WHATSOEVER, WHETHER

!! SUCH LIABILITY IS ASSERTED ON THE BASIS OF CONTRACT, TORT

!! (INCLUDING NEGLIGENCE OR STRICT LIABILITY), OR OTHERWISE,

!! EVEN IF ANY OF SAID PARTIES HAS BEEN WARNED OF THE

!! POSSIBILITY OF SUCH LOSS OR DAMAGES.

      subroutine lmdif(fcn,m,n,x,fvec,ftol,xtol,gtol,maxfev,epsfcn,     &

     &                 diag,mode,factor,nprint,info,nfev,fjac,ldfjac,   &

     &                 ipvt,qtf,wa1,wa2,wa3,wa4)