mathlib-minpack.c
1 //! @file mathlib-minpack.c
2 //
3 //! @section copyright
4 //
5 // This file is part of VIF - vintage fortran compiler.
6 // Copyright 2020-2025 J. Marcel van der Veer <algol68g@xs4all.nl>.
7 //
8 //! @section license
9 //
10 // This program 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
13 // (at your option) any later version.
14 //
15 // This program is distributed in the hope that it will be useful, but
16 // without any warranty; without even the implied warranty of merchantability
17 // or fitness for a particular purpose. See the GNU general public license for
18 // more details. you should have received a copy of the GNU general public
19 // license along with this program. If not, see <http://www.gnu.org/licenses/>.
20 //
21 //! @Synopsis
22 //
23 //! 23 subprograms from MINPACK
24
25 // Compiled from Fortran source code by VIF.
26 // Selected subprograms are:
27 //
28 // CHKDER ENORM HYBRD HYBRJ1 LMDER1 LMDIF1 LMSTR QFORM QRSOLV R1UPDT
29 // DOGLEG FDJAC1 HYBRD1 LMDER LMDIF LMPAR LMSTR1 QRFAC R1MPYQ RWUPDT
30 // DPMPAR FDJAC2 HYBRJ
31
32 // Minpack includes software for solving nonlinear equations and
33 // nonlinear least squares problems. Five algorithmic paths each include
34 // a core subroutine and an easy-to-use driver. The algorithms proceed
35 // either from an analytic specification of the Jacobian matrix or
36 // directly from the problem functions. The paths include facilities for
37 // systems of equations with a banded Jacobian matrix, for least squares
38 // problems with a large amount of data, and for checking the consistency
39 // of the Jacobian matrix with the functions.
40 //
41 // This directory contains the double-precision versions.
42 //
43 // Origonal authors are Jorge More, Burt Garbow, and Ken Hillstrom.
44 //
45 // This version of MINPACK is adapted for VIF.
46 // Adaptations are trivial, concerning choosing alternative names for
47 // variable names that coincided with intrinsic functions.
48 //
49 // Source: netlib.org/minpack/
50
51 // The license for MINPACK Fortran source code is:
52 //
53 // Minpack Copyright Notice (1999) University of Chicago. All rights reserved
54 //
55 // Redistribution and use in source and binary forms, with or
56 // without modification, are permitted provided that the
57 // following conditions are met:
58 //
59 // 1. Redistributions of source code must retain the above
60 // copyright notice, this list of conditions and the following
61 // disclaimer.
62 //
63 // 2. Redistributions in binary form must reproduce the above
64 // copyright notice, this list of conditions and the following
65 // disclaimer in the documentation and/or other materials
66 // provided with the distribution.
67 //
68 // 3. The end-user documentation included with the
69 // redistribution, if any, must include the following
70 // acknowledgment:
71 //
72 // "This product includes software developed by the
73 // University of Chicago, as Operator of Argonne National
74 // Laboratory.
75 //
76 // Alternately, this acknowledgment may appear in the software
77 // itself, if and wherever such third-party acknowledgments
78 // normally appear.
79 //
80 // 4. WARRANTY DISCLAIMER. THE SOFTWARE IS SUPPLIED "AS IS"
81 // WITHOUT WARRANTY OF ANY KIND. THE COPYRIGHT HOLDER, THE
82 // UNITED STATES, THE UNITED STATES DEPARTMENT OF ENERGY, AND
83 // THEIR EMPLOYEES: (1) DISCLAIM ANY WARRANTIES, EXPRESS OR
84 // IMPLIED, INCLUDING BUT NOT LIMITED TO ANY IMPLIED WARRANTIES
85 // OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE, TITLE
86 // OR NON-INFRINGEMENT, (2) DO NOT ASSUME ANY LEGAL LIABILITY
87 // OR RESPONSIBILITY FOR THE ACCURACY, COMPLETENESS, OR
88 // USEFULNESS OF THE SOFTWARE, (3) DO NOT REPRESENT THAT USE OF
89 // THE SOFTWARE WOULD NOT INFRINGE PRIVATELY OWNED RIGHTS, (4)
90 // DO NOT WARRANT THAT THE SOFTWARE WILL FUNCTION
91 // UNINTERRUPTED, THAT IT IS ERROR-FREE OR THAT ANY ERRORS WILL
92 // BE CORRECTED.
93 //
94 // 5. LIMITATION OF LIABILITY. IN NO EVENT WILL THE COPYRIGHT
95 // HOLDER, THE UNITED STATES, THE UNITED STATES DEPARTMENT OF
96 // ENERGY, OR THEIR EMPLOYEES: BE LIABLE FOR ANY INDIRECT,
97 // INCIDENTAL, CONSEQUENTIAL, SPECIAL OR PUNITIVE DAMAGES OF
98 // ANY KIND OR NATURE, INCLUDING BUT NOT LIMITED TO LOSS OF
99 // PROFITS OR LOSS OF DATA, FOR ANY REASON WHATSOEVER, WHETHER
100 // SUCH LIABILITY IS ASSERTED ON THE BASIS OF CONTRACT, TORT
101 // (INCLUDING NEGLIGENCE OR STRICT LIABILITY), OR OTHERWISE,
102 // EVEN IF ANY OF SAID PARTIES HAS BEEN WARNED OF THE
103 // POSSIBILITY OF SUCH LOSS OR DAMAGES.
104 //
105 //
106
107 /*
108 Generated by VIF - experimental VIntage Fortran compiler.
109 VIF release 1.2.12
110 */
115 static CALLS __calls[__ncalls] = {
116 {"chkder", 0}, // subroutine
117 {"dogleg", 0}, // subroutine
118 {"dpmpar", 0}, // real*8 function
119 {"enorm", 0}, // real*8 function
120 {"fdjac1", 0}, // subroutine
121 {"fdjac2", 0}, // subroutine
122 {"hybrd1", 0}, // subroutine
123 {"hybrd", 0}, // subroutine
124 {"hybrj1", 0}, // subroutine
125 {"hybrj", 0}, // subroutine
126 {"lmder1", 0}, // subroutine
127 {"lmder", 0}, // subroutine
128 {"lmdif1", 0}, // subroutine
129 {"lmdif", 0}, // subroutine
130 {"lmpar", 0}, // subroutine
131 {"lmstr1", 0}, // subroutine
132 {"lmstr", 0}, // subroutine
133 {"qform", 0}, // subroutine
134 {"qrfac", 0}, // subroutine
135 {"qrsolv", 0}, // subroutine
136 {"r1mpyq", 0}, // subroutine
137 {"r1updt", 0}, // subroutine
138 {"rwupdt", 0}, // subroutine
139 {NULL, 0}
140 };
141
143 ldfjac_, real_8 _p_ xp_, real_8 _p_ fvecp_, int_4 _p_ mode_, real_8 _p_ err_);
145 delta_, real_8 _p_ x_, real_8 _p_ wa1_, real_8 _p_ wa2_);
149 ldfjac_, int_4 _p_ iflag_, int_4 _p_ ml_, int_4 _p_ mu_, real_8 _p_ epsfcn_, real_8 _p_ wa1_, real_8 _p_ wa2_);
151 , int_4 _p_ ldfjac_, int_4 _p_ iflag_, real_8 _p_ epsfcn_, real_8 _p_ wa_);
153 info_, real_8 _p_ wa_, int_4 _p_ lwa_);
155 maxfev_, int_4 _p_ ml_, int_4 _p_ mu_, real_8 _p_ epsfcn_, real_8 _p_ diag_, int_4 _p_ mode_, real_8 _p_ factor_, int_4
156 _p_ nprint_, int_4 _p_ info_, int_4 _p_ nfev_, real_8 _p_ fjac_, int_4 _p_ ldfjac_, real_8 _p_ r_, int_4 _p_ lr_,
157 real_8 _p_ qtf_, real_8 _p_ wa1_, real_8 _p_ wa2_, real_8 _p_ wa3_, real_8 _p_ wa4_);
159 ldfjac_, real_8 _p_ tol_, int_4 _p_ info_, real_8 _p_ wa_, int_4 _p_ lwa_);
161 ldfjac_, real_8 _p_ xtol_, int_4 _p_ maxfev_, real_8 _p_ diag_, int_4 _p_ mode_, real_8 _p_ factor_, int_4 _p_ nprint_,
162 int_4 _p_ info_, int_4 _p_ nfev_, int_4 _p_ njev_, real_8 _p_ r_, int_4 _p_ lr_, real_8 _p_ qtf_, real_8 _p_ wa1_,
163 real_8 _p_ wa2_, real_8 _p_ wa3_, real_8 _p_ wa4_);
165 fjac_, int_4 _p_ ldfjac_, real_8 _p_ tol_, int_4 _p_ info_, int_4 _p_ ipvt_, real_8 _p_ wa_, int_4 _p_ lwa_);
167 int_4 _p_ ldfjac_, real_8 _p_ ftol_, real_8 _p_ xtol_, real_8 _p_ gtol_, int_4 _p_ maxfev_, real_8 _p_ diag_, int_4 _p_
168 mode_, real_8 _p_ factor_, int_4 _p_ nprint_, int_4 _p_ info_, int_4 _p_ nfev_, int_4 _p_ njev_, int_4 _p_ ipvt_,
169 real_8 _p_ qtf_, real_8 _p_ wa1_, real_8 _p_ wa2_, real_8 _p_ wa3_, real_8 _p_ wa4_);
171 , int_4 _p_ info_, int_4 _p_ iwa_, real_8 _p_ wa_, int_4 _p_ lwa_);
173 real_8 _p_ xtol_, real_8 _p_ gtol_, int_4 _p_ maxfev_, real_8 _p_ epsfcn_, real_8 _p_ diag_, int_4 _p_ mode_, real_8
174 _p_ factor_, int_4 _p_ nprint_, int_4 _p_ info_, int_4 _p_ nfev_, real_8 _p_ fjac_, int_4 _p_ ldfjac_, int_4 _p_ ipvt_,
175 real_8 _p_ qtf_, real_8 _p_ wa1_, real_8 _p_ wa2_, real_8 _p_ wa3_, real_8 _p_ wa4_);
177 , real_8 _p_ delta_, real_8 _p_ par_, real_8 _p_ x_, real_8 _p_ sdiag_, real_8 _p_ wa1_, real_8 _p_ wa2_);
179 fjac_, int_4 _p_ ldfjac_, real_8 _p_ tol_, int_4 _p_ info_, int_4 _p_ ipvt_, real_8 _p_ wa_, int_4 _p_ lwa_);
181 int_4 _p_ ldfjac_, real_8 _p_ ftol_, real_8 _p_ xtol_, real_8 _p_ gtol_, int_4 _p_ maxfev_, real_8 _p_ diag_, int_4 _p_
182 mode_, real_8 _p_ factor_, int_4 _p_ nprint_, int_4 _p_ info_, int_4 _p_ nfev_, int_4 _p_ njev_, int_4 _p_ ipvt_,
183 real_8 _p_ qtf_, real_8 _p_ wa1_, real_8 _p_ wa2_, real_8 _p_ wa3_, real_8 _p_ wa4_);
186 ipvt_, int_4 _p_ lipvt_, real_8 _p_ rdiag_, real_8 _p_ acnorm_, real_8 _p_ wa_);
188 qtb_, real_8 _p_ x_, real_8 _p_ sdiag_, real_8 _p_ wa_);
191 _p_ w_, logical_4 _p_ sing_);
193 real_8 _p_ cost_, real_8 _p_ sint_);
194 int_4 _chkder (int_4 _p_ m_, int_4 _p_ n_, real_8 _p_ x_, real_8 _p_ fvec_, real_8 _p_ fjac_, int_4 _p_ ldfjac_, real_8
195 _p_ xp_, real_8 _p_ fvecp_, int_4 _p_ mode_, real_8 _p_ err_)
196 { // ** body not listed **
267 }
268
269 int_4 _dogleg (int_4 _p_ n_, real_8 _p_ r_, int_4 _p_ lr_, real_8 _p_ diag_, real_8 _p_ qtb_, real_8 _p_ delta_, real_8
270 _p_ x_, real_8 _p_ wa1_, real_8 _p_ wa2_)
271 { // ** body not listed **
379 }
380
381 real_8 _dpmpar (int_4 _p_ i_)
382 { // ** body not listed **
403 }
404
405 real_8 _enorm (int_4 _p_ n_, real_8 _p_ x_)
406 { // ** body not listed **
503 }
504
505 int_4 _fdjac1 (int_4 (*_fcn)(), int_4 _p_ n_, real_8 _p_ x_, real_8 _p_ fvec_, real_8 _p_ fjac_, int_4 _p_ ldfjac_,
506 int_4 _p_ iflag_, int_4 _p_ ml_, int_4 _p_ mu_, real_8 _p_ epsfcn_, real_8 _p_ wa1_, real_8 _p_ wa2_)
507 { // ** body not listed **
578 }
579
580 int_4 _fdjac2 (int_4 (*_fcn)(), int_4 _p_ m_, int_4 _p_ n_, real_8 _p_ x_, real_8 _p_ fvec_, real_8 _p_ fjac_, int_4
581 _p_ ldfjac_, int_4 _p_ iflag_, real_8 _p_ epsfcn_, real_8 _p_ wa_)
582 { // ** body not listed **
618 }
619
620 int_4 _hybrd1 (real_4 (*_fcn)(), int_4 _p_ n_, real_8 _p_ x_, real_8 _p_ fvec_, real_8 _p_ tol_, int_4 _p_ info_,
621 real_8 _p_ wa_, int_4 _p_ lwa_)
622 { // ** body not listed **
672 }
673
674 int_4 _hybrd (int_4 (*_fcn)(), int_4 _p_ n_, real_8 _p_ x_, real_8 _p_ fvec_, real_8 _p_ xtol_, int_4 _p_ maxfev_,
675 int_4 _p_ ml_, int_4 _p_ mu_, real_8 _p_ epsfcn_, real_8 _p_ diag_, int_4 _p_ mode_, real_8 _p_ factor_, int_4 _p_
676 nprint_, int_4 _p_ info_, int_4 _p_ nfev_, real_8 _p_ fjac_, int_4 _p_ ldfjac_, real_8 _p_ r_, int_4 _p_ lr_, real_8
677 _p_ qtf_, real_8 _p_ wa1_, real_8 _p_ wa2_, real_8 _p_ wa3_, real_8 _p_ wa4_)
678 { // ** body not listed **
967 }
968 int_4 _hybrj1 (real_4 (*_fcn)(), int_4 _p_ n_, real_8 _p_ x_, real_8 _p_ fvec_, real_8 _p_ fjac_, int_4 _p_ ldfjac_,
969 real_8 _p_ tol_, int_4 _p_ info_, real_8 _p_ wa_, int_4 _p_ lwa_)
970 { // ** body not listed **
1016 }
1017
1018 int_4 _hybrj (int_4 (*_fcn)(), int_4 _p_ n_, real_8 _p_ x_, real_8 _p_ fvec_, real_8 _p_ fjac_, int_4 _p_ ldfjac_,
1019 real_8 _p_ xtol_, int_4 _p_ maxfev_, real_8 _p_ diag_, int_4 _p_ mode_, real_8 _p_ factor_, int_4 _p_ nprint_, int_4
1020 _p_ info_, int_4 _p_ nfev_, int_4 _p_ njev_, real_8 _p_ r_, int_4 _p_ lr_, real_8 _p_ qtf_, real_8 _p_ wa1_, real_8 _p_
1021 wa2_, real_8 _p_ wa3_, real_8 _p_ wa4_)
1022 { // ** body not listed **
1311 }
1312 int_4 _lmder1 (real_4 (*_fcn)(), int_4 _p_ m_, int_4 _p_ n_, real_8 _p_ x_, real_8 _p_ fvec_, real_8 _p_ fjac_, int_4
1313 _p_ ldfjac_, real_8 _p_ tol_, int_4 _p_ info_, int_4 _p_ ipvt_, real_8 _p_ wa_, int_4 _p_ lwa_)
1314 { // ** body not listed **
1353 }
1354
1355 int_4 _lmder (int_4 (*_fcn)(), int_4 _p_ m_, int_4 _p_ n_, real_8 _p_ x_, real_8 _p_ fvec_, real_8 _p_ fjac_, int_4 _p_
1356 ldfjac_, real_8 _p_ ftol_, real_8 _p_ xtol_, real_8 _p_ gtol_, int_4 _p_ maxfev_, real_8 _p_ diag_, int_4 _p_ mode_,
1357 real_8 _p_ factor_, int_4 _p_ nprint_, int_4 _p_ info_, int_4 _p_ nfev_, int_4 _p_ njev_, int_4 _p_ ipvt_, real_8 _p_
1358 qtf_, real_8 _p_ wa1_, real_8 _p_ wa2_, real_8 _p_ wa3_, real_8 _p_ wa4_)
1359 { // ** body not listed **
1640 }
1641
1642 int_4 _lmdif1 (real_4 (*_fcn)(), int_4 _p_ m_, int_4 _p_ n_, real_8 _p_ x_, real_8 _p_ fvec_, real_8 _p_ tol_, int_4
1643 _p_ info_, int_4 _p_ iwa_, real_8 _p_ wa_, int_4 _p_ lwa_)
1644 { // ** body not listed **
1685 }
1686
1687 int_4 _lmdif (int_4 (*_fcn)(), int_4 _p_ m_, int_4 _p_ n_, real_8 _p_ x_, real_8 _p_ fvec_, real_8 _p_ ftol_, real_8
1688 _p_ xtol_, real_8 _p_ gtol_, int_4 _p_ maxfev_, real_8 _p_ epsfcn_, real_8 _p_ diag_, int_4 _p_ mode_, real_8 _p_
1689 factor_, int_4 _p_ nprint_, int_4 _p_ info_, int_4 _p_ nfev_, real_8 _p_ fjac_, int_4 _p_ ldfjac_, int_4 _p_ ipvt_,
1690 real_8 _p_ qtf_, real_8 _p_ wa1_, real_8 _p_ wa2_, real_8 _p_ wa3_, real_8 _p_ wa4_)
1691 { // ** body not listed **
1971 }
1972
1973 int_4 _lmpar (int_4 _p_ n_, real_8 _p_ r_, int_4 _p_ ldr_, int_4 _p_ ipvt_, real_8 _p_ diag_, real_8 _p_ qtb_, real_8
1974 _p_ delta_, real_8 _p_ par_, real_8 _p_ x_, real_8 _p_ sdiag_, real_8 _p_ wa1_, real_8 _p_ wa2_)
1975 { // ** body not listed **
2133 }
2134
2135 int_4 _lmstr1 (real_4 (*_fcn)(), int_4 _p_ m_, int_4 _p_ n_, real_8 _p_ x_, real_8 _p_ fvec_, real_8 _p_ fjac_, int_4
2136 _p_ ldfjac_, real_8 _p_ tol_, int_4 _p_ info_, int_4 _p_ ipvt_, real_8 _p_ wa_, int_4 _p_ lwa_)
2137 { // ** body not listed **
2176 }
2177
2178 int_4 _lmstr (int_4 (*_fcn)(), int_4 _p_ m_, int_4 _p_ n_, real_8 _p_ x_, real_8 _p_ fvec_, real_8 _p_ fjac_, int_4 _p_
2179 ldfjac_, real_8 _p_ ftol_, real_8 _p_ xtol_, real_8 _p_ gtol_, int_4 _p_ maxfev_, real_8 _p_ diag_, int_4 _p_ mode_,
2180 real_8 _p_ factor_, int_4 _p_ nprint_, int_4 _p_ info_, int_4 _p_ nfev_, int_4 _p_ njev_, int_4 _p_ ipvt_, real_8 _p_
2181 qtf_, real_8 _p_ wa1_, real_8 _p_ wa2_, real_8 _p_ wa3_, real_8 _p_ wa4_)
2182 { // ** body not listed **
2483 }
2484
2485 int_4 _qform (int_4 _p_ m_, int_4 _p_ n_, real_8 _p_ q_, int_4 _p_ ldq_, real_8 _p_ wa_)
2486 { // ** body not listed **
2552 }
2553
2554 int_4 _qrfac (int_4 _p_ m_, int_4 _p_ n_, real_8 _p_ a_, int_4 _p_ lda_, logical_4 _p_ pivot_, int_4 _p_ ipvt_, int_4
2555 _p_ lipvt_, real_8 _p_ rdiag_, real_8 _p_ acnorm_, real_8 _p_ wa_)
2556 { // ** body not listed **
2658 }
2659
2660 int_4 _qrsolv (int_4 _p_ n_, real_8 _p_ r_, int_4 _p_ ldr_, int_4 _p_ ipvt_, real_8 _p_ diag_, real_8 _p_ qtb_, real_8
2661 _p_ x_, real_8 _p_ sdiag_, real_8 _p_ wa_)
2662 { // ** body not listed **
2771 }
2772
2773 int_4 _r1mpyq (int_4 _p_ m_, int_4 _p_ n_, real_8 _p_ a_, int_4 _p_ lda_, real_8 _p_ v_, real_8 _p_ w_)
2774 { // ** body not listed **
2837 }
2838
2839 int_4 _r1updt (int_4 _p_ m_, int_4 _p_ n_, real_8 _p_ s_, int_4 _p_ ls_, real_8 _p_ u_, real_8 _p_ v_, real_8 _p_ w_,
2840 logical_4 _p_ sing_)
2841 { // ** body not listed **
2971 }
2972
2973 int_4 _rwupdt (int_4 _p_ n_, real_8 _p_ r_, int_4 _p_ ldr_, real_8 _p_ w_, real_8 _p_ b_, real_8 _p_ alpha_, real_8 _p_
2974 cost_, real_8 _p_ sint_)
2975 { // ** body not listed **
3042 }
3043
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© 2002-2025 J.M. van der Veer (jmvdveer@xs4all.nl)
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