summaryrefslogtreecommitdiff
path: root/Master/texmf-dist/tex/generic/pst-fit/pst-fit.tex
blob: 2336d5c20b3575ce849cd17b98bcf0fcedfb9851 (plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
%% $Id: pst-fit.tex 673 2012-04-01 09:50:48Z herbert $
%%
%% This is file `pst-fit.tex',
%%
%% IMPORTANT NOTICE:
%%
%% Package `pst-fit.tex'
%%
%% Buddy Ledger <buddyledger@gmail.com>
%% Herbert Voss <hvoss@tug.org>
%%
%% This program can be redistributed and/or modified under the terms
%% of the LaTeX Project Public License Distributed from CTAN archives
%% in directory macros/latex/base/lppl.txt.
%%
%% DESCRIPTION:
%%   `pst-fit' is a PSTricks package for curve fitting
%%
\csname PSTfitLoaded\endcsname
\let\PSTfitLoaded\endinput
% Requires PSTricks, pst-plot
\ifx\PSTricksLoaded\endinput\else   \input pstricks.tex\fi
\ifx\PSTricksAddLoaded\endinput\else\input pstricks-add.tex\fi
\ifx\PSTXKeyLoaded\endinput\else    \input pst-xkey \fi
%
\def\fileversion{0.01}
\def\filedate{2012/04/01}
\message{`PST-fit' v\fileversion, \filedate\space (BL,HV)}
%
\edef\PstAtCode{\the\catcode`\@} \catcode`\@=11\relax

\pst@addfams{pst-fit}
\def\beginplot@ErrorLine{\begin@OpenObj}
\def\endplot@ErrorLine{\psErrorLine@ii}
\def\psErrorLine@ii{%
  \addto@pscode{
    \pst@cp     % current point
    \psline@iii % arc and lineto type
    \tx@ErrorLine   
  }%
  \end@OpenObj%
}
%
\def\tx@ErrorLine{ErrorLine }
\pst@def{ErrorLine}<{
  /copypt { dup 3 2 roll dup 4 1 roll exch } def %copy point
  NArray n 0 eq not  
    { n { \psk@relyerr\space 0 eq not
    {copypt copypt dup \psk@relyerr\space mul add ArrowA
    dup \psk@relyerr\space mul sub
    Lineto
    copypt dup \psk@relyerr\space mul sub ArrowB L} if
    \psk@relxerr\space 0 eq not  
    {copypt copypt exch dup \psk@relxerr\space mul add exch ArrowA
    exch dup \psk@relxerr\space mul sub exch
    Lineto
    copypt exch dup \psk@relxerr\space mul sub exch ArrowB L pop pop }
    { pop pop } ifelse } repeat
    } if
}>

\define@boolkey[psset]{pst-fit}[Pst@]{ScyBase}[true]{}%
\define@boolkey[psset]{pst-fit}[Pst@]{ScxBase}[true]{}%
\psset{ScyBase=true,ScxBase=true}

\def\pstScalePoints(#1,#2)#3#4{%
%  xScale | yScale | xOperator | yOperator 
% the operators can be any Postscript code
\pst@def{ScalePoints}<%
    /y ED /x ED
    /yOper { #4\space y mul #2\space mul } def
    /xOper { #3\space x mul #1\space mul } def
    counttomark dup dup cvi eq not { exch pop } if
    /m exch def /n m 2 div cvi def
    n {
      #4\space y mul #2\space mul m 1 roll
      #3\space x mul #1\space mul m 1 roll
      /m m 2 sub
      def } repeat>%
}
\def\psLineToXAxis@ii{%
\addto@pscode{\pst@cp \psline@iii \tx@LineToXAxis}%
\end@OpenObj}

\def\tx@LineToXAxis{LineToXAxis }

\pst@def{LineToXAxis}<{%
NArray
n 0 eq not
  { %n 1 eq { 0 0 /n 2 def } if
    %ArrowA
    %/n n 2 sub def
    %2 copy pop 0 \ifPst@ScyBase yOper \fi moveto Lineto
    n { 2 copy 2 copy pop 0 \ifPst@ScyBase yOper \fi 4 2 roll ArrowA Lineto
        2 copy pop 0 \ifPst@ScyBase yOper \fi ArrowB L pop pop
    } repeat
    %2 copy moveto pop 0 \ifPst@ScyBase yOper \fi
    %L
    %pop pop
} if}>

\def\psLineToYAxis@ii{%
\addto@pscode{\pst@cp \psline@iii \tx@LineToYAxis}%
\end@OpenObj}
\def\tx@LineToYAxis{LineToYAxis }
\pst@def{LineToYAxis}<{
NArray
n 0 eq not
  { %n 1 eq { 0 0 /n 2 def } if
    %ArrowA
    %/n n 2 sub def
    %CP 2 copy moveto exch pop 0 \ifPst@ScxBase xOper \fi exch Lineto
    n { 2 copy 2 copy exch pop 0 \ifPst@ScxBase xOper \fi exch 4 2 roll ArrowA Lineto
        2 copy exch pop 0 \ifPst@ScxBase xOper \fi exch ArrowB L pop pop
    } repeat
    %2 copy moveto exch pop 0 \ifPst@ScxBase xOper \fi exch
    %L
    %pop pop
} if}>
%
%%%%%%PREPAREPOINTS
\define@key[psset]{pst-fit}{plotNoTwo}{\def\psk@plotNoTwo{#1}}%
\define@key[psset]{pst-fit}{plotNoTwoFunc}{\def\psk@plotNoTwoFunc{#1}} %Must operate on two stack elements and return one
\psset{plotNoTwo=0,plotNoTwoFunc=dup mul exch dup mul add sqrt}

%\def\tx@PreparePoints{PreparePoints }
\pst@def{PreparePoints}<{%
  counttomark /m exch def
  \ifPsk@xyValues\else % we have only y values
    /mm m def
    /M m 1 add def
    m { mm exch M 2 roll /M M 1 add def /mm mm 1 sub def } repeat
    /m m dup add def
  \fi
  \ifPst@ChangeOrder
    /m0 m def
    m \psk@plotNoMax\space 1 add div 1 sub cvi {
      m0 \psk@plotNoMax\space 1 add roll /m0 m0 \psk@plotNoMax\space 1 add sub def
    } repeat
  \fi
  /n m \psk@plotNoMax\space 1 add div cvi def
  \psk@plotNoMax\space 1 gt {% multiple data files?
    n {
      \psk@plotNoTwo\space 0 gt {
        \psk@plotNoMax\space copy
        \psk@plotNoMax\space \psk@plotNoTwo\space 1 sub neg roll % x yNo y yNoTwo y [yNo y yNoTwo y]
        \psk@plotNoMax\space 1 sub { pop } repeat % x yNo y yNoTwo y yNoTwo
        \psk@plotNoMax\space 1 add 1 roll } if
      \psk@plotNoMax\space \psk@plotNo\space 1 sub neg roll % x yNo y y y ...
      \psk@plotNoMax\space 1 sub { pop } repeat % x [yNoTwo] yNo
      \psk@plotNoTwo\space 0 gt {
          \psk@plotNoTwoFunc\space } if %x f(yNo,yNoTwo)
      /m m \psk@plotNoMax\space 1 sub sub def
      m 2 roll
    } repeat
  } if % no multiple data files
%    counttomark /m exch def
%    /n m 2 div cvi def
  /xMax -99999 def /yMax -99999 def
  /xP 0 def /yP 0 def
  m copy
  n {
    /y exch def /x exch def
    xMax x lt { /xMax x def } if
    yMax y lt {/yMax y def } if
    xP x gt { /xP x def } if
    yP y gt { /yP y def } if
  } repeat
%    m 2 roll
  \psk@xStep\space 0 gt \psk@yStep\space 0 gt or (\psk@xStart) length 0 gt or
  (\psk@yStart) length 0 gt or (\psk@xEnd) length 0 gt or (\psk@yEnd) length 0 gt or {
%
    (\psk@xStart) length 0 gt {\psk@xStart\space }{ xP } ifelse /xStart exch def
    (\psk@yStart) length 0 gt {\psk@yStart\space }{ yP } ifelse /yStart exch def
    (\psk@xEnd) length 0 gt { \psk@xEnd\space }{ xMax } ifelse /xEnd exch def
    (\psk@yEnd) length 0 gt { \psk@yEnd\space }{ yMax } ifelse /yEnd exch def
    n {
      m -2 roll
      2 copy /yVal exch def /xVal exch def
      xVal xP ge
      yVal yP ge and
      xVal xEnd le and
      yVal yEnd le and
      xVal xStart ge and
      yVal yStart ge and {
        /xP xP \psk@xStep\space add def
        /yP yP \psk@yStep\space add def
      }{%
        pop pop
        /m m 2 sub def
      } ifelse
    } repeat
  }{%
    /ncount 0 def
    (\psk@nEnd) length 0 gt { \psk@nEnd\space }{ m } ifelse
    /nEnd exch def
    n {
      m -2 roll
      \psk@nStep\space 1 gt {
        ncount \psk@nStart\space sub \psk@nStep\space mod 0 eq }{ true } ifelse
        ncount nEnd le and
        ncount \psk@nStart\space ge and not {
          pop pop
          /m m 2 sub def
        } if
        /ncount ncount 1 add def
      } repeat
  } ifelse
}>
%

\def\beginplot@PrintCoor{\begin@SpecialObj}
\def\endplot@PrintCoor{%
  \psPrintCoor@ii %\psk@fillstyle\ifpsshadow\pst@closedshadow\fi%
  %\pst@stroke
  \end@SpecialObj%
}
\define@key[psset]{pst-fit}{relxerr}{\def\psk@relxerr{#1}}
\define@key[psset]{pst-fit}{relyerr}{\def\psk@relyerr{#1}}
\define@key[psset]{pst-fit}{yShift}{\def\psk@yShift{#1}}
\define@boolkey[psset]{pst-fit}[Pst@]{science}[true]{}%
\psset[pst-fit]{science=false,relxerr=0.1,relyerr=0.1,yShift=0}
%Following is new pst-func.tex key which conflicts with mine. 
%Must specify [pst-fit] in psset to correct.
%\define@boolkey[psset]{pst-add}[Pst@]{science}[true]{%
%  \ifPst@science\def\psk@Scin{true }\else\def\psk@Scin{false }\fi}

\def\psPrintCoor@ii{%
   \addto@pscode{%
      false
      \tx@NArray
      \pst@number\psxunit
      \pst@number\psyunit
      \psPrintCoor@iii
}}

\def\psPrintCoor@iii{%
     /mfont { \psk@PSfont\space findfont \psk@fontscale\space scalefont setfont } bind def
     /mfontexp { \psk@PSfont findfont \psk@fontscale 1.2 div scalefont setfont } bind def
     /s1 { /Symbol findfont \psk@fontscale\space scalefont setfont } bind def
     /ttxspc \psk@fontscale\space 4 div def
     /txspc ttxspc 4 div def
     %pop
     /ysc ED
     /xsc ED
     n 0 eq not {%
     n {%
     ysc div /Yval ED
     xsc div /Xval ED
   \ifPst@science
     %X Coordinate 
     Xval 0 gt { Xval log floor }{ Xval 0 lt { Xval -1 mul log floor }{ 0 } ifelse } ifelse
     cvi /xcoorexp ED  
     Xval 10 xcoorexp exp div
     \psk@decimals\space -1 gt {%
     10 \psk@decimals\space exp dup 3 1 roll mul round exch div } if
     \psk@decimals\space 0 eq { cvi } if /xcoor ED
     %Y Coordinate
     Yval 0 gt { Yval log floor }{ Yval 0 lt { Yval -1 mul log floor }{ 0 } ifelse } ifelse
     cvi /ycoorexp ED  
     Yval 10 ycoorexp exp div
     \psk@decimals\space -1 gt {%
     10 \psk@decimals\space exp dup 3 1 roll mul round exch div } if
     \psk@decimals\space 0 eq { cvi } if /ycoor exch def
     %Prep Strings
     xcoorexp \psk@valuewidth\space string cvs /xcoorexp ED
     ycoorexp \psk@valuewidth\space string cvs /ycoorexp ED
     xcoor \psk@valuewidth\space string cvs /xcoor ED
     ycoor \psk@valuewidth\space string cvs /ycoor ED
     %X Error
     \psk@relxerr\space Xval mul /delx ED \psk@relxerr\space 0 ne {%
     delx 0 gt { delx log floor }{ delx 0 lt { delx -1 mul log floor }{ 0 } ifelse } ifelse
     cvi /delxexp ED
     delx 10 delxexp exp div dup mul sqrt
     \psk@decimals\space -1 gt {%
     10 \psk@decimals\space exp dup 3 1 roll mul round exch div } if
     \psk@decimals\space 0 eq { cvi } if /delx ED
     %Prep Strings
     delxexp \psk@valuewidth\space string cvs /delxexp ED
     delx \psk@valuewidth\space string cvs /delx ED } if
     %Y Error    
     \psk@relyerr\space Yval mul /dely ED \psk@relyerr\space 0 ne {%
     dely 0 gt { dely log floor }{ dely 0 lt { dely -1 mul log floor }{ 0 } ifelse } ifelse
     cvi /delyexp ED
     dely 10 delyexp exp div dup mul sqrt
     \psk@decimals\space -1 gt {%
     10 \psk@decimals\space exp dup 3 1 roll mul round exch div } if
     \psk@decimals\space 0 eq { cvi } if /dely ED
     %Prep Strings
     delyexp \psk@valuewidth\space string cvs /delyexp ED
     dely \psk@valuewidth\space string cvs /dely ED } if
   \else
     Xval \psk@decimals\space -1 gt
     { 10 \psk@decimals\space exp dup 3 1 roll mul round exch div } if
     \psk@decimals\space 0 eq {cvi} if /xcoor ED
     Yval \psk@decimals\space -1 gt
     { 10 \psk@decimals\space exp dup 3 1 roll mul round exch div } if
     \psk@decimals\space 0 eq {cvi} if /ycoor ED
     xcoor \psk@valuewidth\space string cvs /xcoor ED
     ycoor \psk@valuewidth\space string cvs /ycoor ED
     %
     \psk@relxerr\space Xval mul dup mul sqrt
     \psk@decimals\space -1 gt
     { 10   \psk@decimals\space exp dup 3 1 roll mul round exch div } if
     \psk@decimals\space 0 eq {cvi} if /delx ED
     \psk@relyerr\space Yval mul dup mul sqrt
     \psk@decimals\space -1 gt
     { 10   \psk@decimals\space exp dup 3 1 roll mul round exch div } if
     \psk@decimals\space 0 eq {cvi} if /dely ED
     delx \psk@valuewidth\space string cvs /delx ED
     dely \psk@valuewidth\space string cvs /dely ED
   \fi
%    
     newpath
     Xval xsc mul %\psk@xShift\space xsc mul add
     Yval ysc mul %\psk@yShift\space ysc mul add
     moveto
     \Pst@Debug\space 0 gt {
     mfont
     Xval \psk@valuewidth\space string cvs show (,) show
     Yval \psk@valuewidth\space string cvs show }
     {s1 (\string\050) show 
     mfont xcoor show
       \ifPst@science
       mfont (x) show
       mfont (10) show
       0 ttxspc rmoveto mfontexp xcoorexp show
       \fi
     \psk@relxerr\space 0 ne
     { \ifPst@science
       0 ttxspc neg rmoveto s1 (\string\261) show
       mfont delx show
       mfont (x) show
       mfont (10) show
       0 ttxspc rmoveto mfontexp delxexp show
       0 ttxspc neg rmoveto s1 (,) show
       \else
       s1 (\string\261) show
       mfont delx show
       s1 (,) show
       \fi }
     { \ifPst@science
       0 ttxspc neg rmoveto s1 (,) show
       \else
       s1 (,) show
       \fi } ifelse
%start on ycoor   
     mfont ycoor show
       \ifPst@science
       mfont (x) show
       mfont (10) show
       0 ttxspc rmoveto mfontexp ycoorexp show
       \fi
     \psk@relyerr\space 0 ne
     { \ifPst@science
       0 ttxspc neg rmoveto s1 (\string\261) show
       mfont dely show
       mfont (x) show
       mfont (10) show
       0 ttxspc rmoveto mfontexp delyexp show
       0 ttxspc neg rmoveto s1 (\string\051) show
       \else
       s1 (\string\261) show
       mfont dely show
       s1 (\string\051) show
       \fi }
       { s1 (\string\051) show } ifelse } ifelse
 } repeat } if }

%%%POLY FIT
\define@key[psset]{pst-fit}{EqPos}[{}]{\def\psk@EqPos{#1}}
\define@key[psset]{pst-fit}{MaPos}[{}]{\def\psk@MaPos{#1}}%added Feb3, 2012 Matrix out
\define@key[psset]{pst-fit}{MaScale}[{}]{\def\psk@MaScale{#1}}%added Feb3, 2012 Matrix out
\define@boolkey[psset]{pst-fit}[Pst@]{ShowEq}[true]{}%
\psset{EqPos=,ShowEq=true,MaPos=0 0,MaScale=1}

\define@key[psset]{pst-fit}{PolyOrder}[{}]{\def\psk@PolyOrder{#1}}
\define@boolkey[psset]{pst-fit}[Pst@]{ReduceOrder}[true]{%these percents are critical removal results in shift to in x-dir
\ifPst@ReduceOrder%
\def\psk@ReduceOrder{true}\else\def\psk@ReduceOrder{false}\fi}%
\define@boolkey[psset]{pst-fit}[Pst@]{PowerFit}[true]{%these percents are critical removal results in shift to in x-dir
\ifPst@PowerFit%
\def\psk@PowerFit{true}\def\psk@LogEFit{false}%
\def\psk@LogTFit{false}\def\psk@ExpFit{false}%
\def\psk@GaussFit{false}\def\psk@CustomFit{false}\def\psk@RecipFit{false}%
\else\def\psk@PowerFit{false}\fi}%
\define@boolkey[psset]{pst-fit}[Pst@]{LogEFit}[true]{%
\ifPst@LogEFit%
\def\psk@PowerFit{false}\def\psk@LogEFit{true}%
\def\psk@LogTFit{false}\def\psk@ExpFit{false}%
\def\psk@GaussFit{false}\def\psk@CustomFit{false}\def\psk@RecipFit{false}%
\else\def\psk@LogEFit{false}\fi}%
\define@boolkey[psset]{pst-fit}[Pst@]{LogTFit}[true]{%
\ifPst@LogTFit%
\def\psk@PowerFit{false}\def\psk@LogEFit{false}%
\def\psk@LogTFit{true}\def\psk@ExpFit{false}%
\def\psk@GaussFit{false}\def\psk@CustomFit{false}\def\psk@RecipFit{false}%
\else\def\psk@LogTFit{false}\fi}%
\define@boolkey[psset]{pst-fit}[Pst@]{ExpFit}[true]{%
\ifPst@ExpFit%
\def\psk@PowerFit{false}\def\psk@LogEFit{false}%
\def\psk@LogTFit{false}\def\psk@ExpFit{true}%
\def\psk@GaussFit{false}\def\psk@CustomFit{false}\def\psk@RecipFit{false}%
\else\def\psk@ExpFit{false}\fi}%
\define@boolkey[psset]{pst-fit}[Pst@]{GaussFit}[true]{%
\ifPst@GaussFit%
\def\psk@PowerFit{false}\def\psk@LogEFit{false}%
\def\psk@LogTFit{false}\def\psk@ExpFit{false}%
\def\psk@GaussFit{true}\def\psk@CustomFit{false}\def\psk@RecipFit{false}%
\else\def\psk@GaussFit{false}\fi}%
\define@boolkey[psset]{pst-fit}[Pst@]{RecipFit}[true]{%
\ifPst@RecipFit%
\def\psk@PowerFit{false}\def\psk@LogEFit{false}%
\def\psk@LogTFit{false}\def\psk@ExpFit{false}%
\def\psk@GaussFit{false}\def\psk@CustomFit{false}\def\psk@RecipFit{true}%
\else\def\psk@RecipFit{false}\fi}%
\define@boolkey[psset]{pst-fit}[Pst@]{CustomFit}[true]{%
\ifPst@CustomFit%
\def\psk@PowerFit{false}\def\psk@LogEFit{false}%
\def\psk@LogTFit{false}\def\psk@ExpFit{false}%
\def\psk@GaussFit{false}\def\psk@CustomFit{true}\def\psk@RecipFit{false}%
\else\def\psk@CustomFit{false}\fi}%
\define@key[psset]{pst-fit}{FXtrans}[{}]{\def\psk@FXtrans{#1}}
\define@key[psset]{pst-fit}{FYtrans}[{}]{\def\psk@FYtrans{#1}}
\define@key[psset]{pst-fit}{RYtrans}[{}]{\def\psk@RYtrans{#1}}
\define@key[psset]{pst-fit}{Yint}[{}]{\def\psk@Yint{#1}}
\define@key[psset]{pst-fit}{CheckZeroX}[{}]{\def\psk@CheckZeroX{#1}}
\define@key[psset]{pst-fit}{CheckZeroY}[{}]{\def\psk@CheckZeroY{#1}}
\psset{PolyOrder=1,ReduceOrder=false,PowerFit=false,LogEFit=false,LogTFit=false,%
      ExpFit=false,GaussFit=false,RecipFit=false,CustomFit=false,%
        FXtrans=,FYtrans=,RYtrans=,Yint=,CheckZeroX=,CheckZeroY=}

\def\beginplot@GLLSR{\begin@SpecialObj}
\def\endplot@GLLSR{%
  \psGLLSR@ii\psk@fillstyle\ifpsshadow\pst@closedshadow\fi%
  \pst@stroke
  \end@SpecialObj%
}
\def\psGLLSR@ii{\addto@pscode{false \tx@NArray \psGLLSR@iii }}
\def\psGLLSR@iii{%
  %General Fit Model: y = a0 + a1*x + a2*x^2 + ... + an*x^n
  %Define Fonts
  /mfont { \psk@PSfont\space findfont \psk@fontscale\space scalefont setfont } bind def
  /mfontbig { \psk@PSfont\space findfont \psk@fontscale\space 2 mul scalefont setfont } bind def
  /mfontexp { \psk@PSfont\space findfont \psk@fontscale\space 2 div scalefont setfont } bind def
   mfont
  %Default parameters
  (\psk@PolyOrder) length 0 gt { \psk@PolyOrder\space /order ED }{ /order 1 def } ifelse
  /PolyEq true def
  (\psk@Yint) length 0 gt
    {\psk@Yint\space /Yint ED /setYint true def /ReduceOrder true def }
    { /Yint 0 def /setYint false def /ReduceOrder false def} ifelse
  /CheckZeroX false def
  /CheckZeroY false def
  /FXtrans {1 mul} def
  /FYtrans { Yint sub } def
  /RYtrans {1 mul} def
  /xPr {(x) show} def
  %Special Fit Functions (Linear Transforms)
  \psk@PowerFit\space { /order 1 def /CheckZeroX true def /CheckZeroY true def /PolyEq false def
       /FXtrans {log} def /FYtrans {Yint sub log} def /RYtrans {10 exch exp Yint add} def /ReduceOrder false def } if
  \psk@LogTFit\space { /order 1 def /CheckZeroX true def /PolyEq true def
       /xPr { (log) show (\string\050) show (x) show (\string\051) show } def
       /FXtrans {log} def /FYtrans {1 mul} def /RYtrans {1 mul} def } if %
  \psk@LogEFit\space { /order 1 def /CheckZeroX true def /PolyEq true def
        /xPr { (ln) show (\string\050) show (x) show (\string\051) show } def
       /FXtrans {ln} def /FYtrans {1 mul} def /RYtrans {1 mul} def } if %
  \psk@ExpFit\space { /order 1 def /CheckZeroY true def /PolyEq false def
       /FXtrans {1 mul} def /FYtrans {Yint sub ln} def /RYtrans {Euler exch exp Yint add} def  /ReduceOrder false def } if %
  \psk@GaussFit\space { /order 2 def /CheckZeroY true def /PolyEq false def
       /FXtrans {1 mul} def /FYtrans {Yint sub ln} def /RYtrans {Euler exch exp Yint add} def  /ReduceOrder false def } if %
  \psk@RecipFit\space { /order 1 def /CheckZeroX true def /PolyEq true def
        /xPr { (\string\050) show (1) show (\string\244) show (x) show (\string\051) show } def
       /FXtrans { 1 exch div } def /FYtrans {1 mul} def /RYtrans {1 mul} def } if
  \psk@CustomFit\space { /PolyFit false def
       (\psk@FXtrans) length 0 gt { {\psk@FXtrans\space} /FXtrans ED } if 
       (\psk@FYtrans) length 0 gt { {\psk@FYtrans\space} /FYtrans ED } if
       (\psk@RYtrans) length 0 gt { {\psk@RYtrans\space} /RYtrans ED } if
       (\psk@CheckZeroX) length 0 gt { {\psk@CheckZeroX\space} /CheckZeroX ED } if
       (\psk@CheckZeroY) length 0 gt { {\psk@CheckZeroY\space} /CheckZeroY ED } if
       (\psk@ReduceOrder) length 0 gt { {\psk@ReduceOrder\space} /ReduceOrder ED } if } if %
  %Initialize Arrays
  /A order 1 add order 1 add mul array def
  /B order 1 add array def
  /ai order 1 add array def
  %Coordinate Conversion Operators X Y PLU -> Plot Units (pts), X Y RLU -> Real Units (arbitrary)
  /PLU {exch \pst@number\psxunit\space mul exch \pst@number\psyunit\space mul } def
  /RLU {exch \pst@number\psxunit\space div exch \pst@number\psyunit\space div } def
  /PRA { %Inputs: Array [ #rows #cols X Y Scale boolean(print equal sign) boolean(return) ]
         %"pra" prefix has been added to all variables to minimize chance of naming conflicts
%         /praSc exch def /praYc exch def /praXc exch def
%         /praCol exch def /praRow exch def /praARY exch def
         /praTemp exch def /praARY exch def
         praTemp length 7 eq {%
         %praTemp 4 get /praSc exch def
         %praTemp 3 get /praYc exch def
         %praTemp 2 get /praXc exch def
         %praTemp 1 get /praCol exch def
         %praTemp 0 get /praRow exch def pop
         /tempfontscale \psk@fontscale praTemp 4 get mul def
         %/praXc praTemp 2 get \pst@number\psxunit\space mul def
         /praYc praTemp 3 get \pst@number\psyunit\space mul def
         /praXmax -999999 def
         /praYmin 999999 def
         /prafont {\psk@PSfont\space findfont tempfontscale scalefont setfont} bind def
         /prasym { /Symbol findfont tempfontscale 2 mul scalefont setfont} bind def
         prafont
         praTemp 2 get \pst@number\psxunit\space mul praTemp 3 get \pst@number\psyunit\space mul moveto
         praARY length praTemp 1 get praTemp 0 get mul eq not { (Row x Col > Vector Dim) show }{%
         /praXstart praTemp 2 get \pst@number\psxunit\space mul def
         0 1 praTemp 1 get 1 sub {/praj ED
         0 1 praTemp 0 get 1 sub {/prai ED /prak praj praTemp 1 get prai mul add def
         praARY prak get \psk@valuewidth string cvs show
         currentpoint pop dup praXmax gt { /praXmax ED }{ pop } ifelse
         currentpoint pop praXstart sub neg tempfontscale 1.5 mul neg rmoveto
         } for
         currentpoint exch pop dup praYmin lt { /praYmin ED }{ pop } ifelse
         /praXstart praXmax tempfontscale 0.75 mul add def
         praXstart praTemp 3 get \pst@number\psyunit\space mul moveto
         } for
         %Brackets
          newpath
          praTemp 2 get \pst@number\psxunit\space mul tempfontscale 0.125 mul add
          praTemp 3 get \pst@number\psyunit\space mul tempfontscale add moveto
          praTemp 2 get \pst@number\psxunit\space mul tempfontscale 0.125 mul sub
          praTemp 3 get \pst@number\psyunit\space mul tempfontscale add lineto
          praTemp 2 get \pst@number\psxunit\space mul tempfontscale 0.125 mul sub
          praYmin tempfontscale add lineto
          praTemp 2 get \pst@number\psxunit\space mul tempfontscale 0.125 mul add
          praYmin tempfontscale add lineto
          stroke
          newpath
          praXmax tempfontscale 0.125 mul sub
          praTemp 3 get \pst@number\psyunit\space mul tempfontscale add moveto
          praXmax tempfontscale 0.125 mul add
          praTemp 3 get \pst@number\psyunit\space mul tempfontscale add lineto
          praXmax tempfontscale 0.125 mul add
          praYmin tempfontscale add lineto
          praXmax tempfontscale 0.125 mul sub
          praYmin tempfontscale add lineto
          stroke
          praTemp 5 get {
          praXmax tempfontscale add
          praTemp 3 get \pst@number\psyunit\space mul tempfontscale add praYmin add 2 div moveto
          prasym (=) show currentpoint pop /praXmax ED} if
         %Left Bracket
         praTemp 2 get \pst@number\psxunit\space mul praYmin tempfontscale 2 mul sub moveto %Return to bottom left
         %the following are defined for use with cascade calls to PRA
         % (Xl,Yb) - Print next matrix below last
         % (Xr,Yt) - Print next matrix beside last
         % (Xr,Yb) - Print next matrix beside and below last
         tx@Dict /praYb known {
         praYmin tempfontscale 1.5 mul sub \pst@number\psyunit\space div praYb lt {
         /praYb praYmin tempfontscale 1.5 mul sub \pst@number\psyunit\space div def } if }
         { /praYb praYmin tempfontscale 1.5 mul sub \pst@number\psyunit\space div def } ifelse
         /praYb praYmin tempfontscale 1.5 mul sub \pst@number\psyunit\space div def
         %
         tx@Dict /praXl known not {/praXl praTemp 2 get def } if
        % { praTemp 6 get {/praXl praTemp 2 get def} if } ifelse 
         tx@Dict /praYt known not {/praYt praTemp 3 get def }
         { praTemp 6 get {/praYt praYb def} if } ifelse
         %
         tx@Dict /praXr known {
         praTemp 6 get { /praXr praXl def }{ /praXr praXmax tempfontscale add \pst@number\psxunit\space div def } ifelse }{%
         /praXr praXmax tempfontscale add \pst@number\psxunit\space div def } ifelse
         \psk@PSfont\space findfont \psk@fontscale\space scalefont setfont } ifelse
         }{ \psk@PSfont\space findfont \psk@fontscale\space scalefont setfont
         0 0 moveto (PRA Error Not Enough Parameters) show } ifelse } def
  0 1 A length 1 sub { A exch 0 put } for
  0 1 B length 1 sub { B exch 0 put } for
  0 1 ai length 1 sub { ai exch 0 put } for
  %%%%%%%%
  %Remove Zero Data (As Required By Transformation Functions)
  CheckZeroX CheckZeroY or {
  n { /tmpx false def /tmpy false def
    CheckZeroY { dup \pst@number\psyunit\space div Yint sub 0 le { /tmpy true def  } if } if  
    CheckZeroX { exch dup \pst@number\psxunit\space div 0 le { /tmpx true def } if exch } if
    tmpx tmpy or { pop pop /n n 1 sub def }{ n 2 mul 2 roll } ifelse
    } repeat } if
  %%%
  %%%%
  %Determine Max/Min X for Plotting
  exch dup dup
  \pst@number\psxunit\space div /xEnd ED
  \pst@number\psxunit\space div /xStart ED    
  exch
  /ybar 0 def
  n {                         % number of data pairs
    dup \pst@number\psyunit\space div ybar add /ybar ED
    2 copy      %copy point
    \pst@number\psyunit\space div /Yval ED
    \pst@number\psxunit\space div /Xval ED
    Xval xStart lt { /xStart Xval def } if    % find the lowest xi
    Xval xEnd gt { /xEnd Xval def } if        % find the largest xi
    n 2 mul 2 roll    %roll the original point to the bottom of the stack
  } repeat
  ybar n div /ybar ED
  %Scale X & Y variables and apply Linear Transform if applicable
  n {
    \pst@number\psyunit\space div FYtrans
    n 2 mul 1 roll
    \pst@number\psxunit\space div FXtrans
    n 2 mul 1 roll
  } repeat
  %START ASSEMBLY OF LEAST SQUARES MATRIX
  1 1 order 1 add { /ci exch def
    1 1 ci { /cj exch def
      /epk ci cj add 2 sub def
      /sum 0 def
      n { n 2 mul 1 roll
        dup epk exp sum add /sum ED
        n 2 mul 1 roll
      } repeat
      A
      ci 1 sub order 1 add mul cj add 1 sub
      sum put %i row, j col standard
      A
      cj 1 sub order 1 add mul ci add 1 sub
      sum put %j row, i col reversed
    } for
    /sum 0 def
    1 1 n { /cl exch def
      2 copy
      exch
      ci 1 sub exp mul sum add /sum ED
      n 2 mul 2 roll
    } for
    B
    ci 1 sub
    sum put
  } for
  \Pst@Debug\space 1 eq {
  %A [ order 1 add order 1 add 5 20 0.5 false false ] PRA
  A [ order 1 add order 1 add \psk@MaPos\space \psk@MaScale\space true false ] PRA
  B [ order 1 add 1 praXr praYt \psk@MaScale\space false true ] PRA
  } if
  %END OF ASSEMBLE MATRIX
 %REDUCE ORDER FOR Y INTERCEPT FOR MODELS WHICH ARE APPROPRIATE
  ReduceOrder {
    /elemOld { exch 1 sub order 1 add mul add 1 sub } def
    /elemNew { exch 2 sub order mul add 2 sub  } def     
    /dummyA order order mul array def                    
    0 1 dummyA length 1 sub { dummyA exch 0 put } for  
    /dummyB order array def
    0 1 dummyB length 1 sub { dummyB exch 0 put } for
    /ai order array def
    0 1 ai length 1 sub { ai exch 0 put } for
    %Translate A to dummyA
    2 1 order 1 add {/ci ED
      2 1 order 1 add {/cj ED
        dummyA ci cj elemNew
        A ci cj elemOld get
        put
      } for
      dummyB ci 2 sub
      B ci 1 sub get
      put
    } for
  /order order 1 sub def                                             %temporarily reduce system order
  /A order 1 add order 1 add mul array def 0 1 A length 1 sub {/ci ED A ci dummyA ci get put } for  %put dummyA in new A
  /B order 1 add array def 0 1 B length 1 sub {/ci ED B ci dummyB ci get put } for                  %put dummyB in new B
  \Pst@Debug\space 1 eq {
  A [ order 1 add order 1 add praXr praYt \psk@MaScale\space true false ] PRA
  B [ order 1 add 1 praXr praYt \psk@MaScale\space false true ] PRA } if
  \tx@GaussSolve
  /order order 1 add def                                             %restore system order
  /m m 1 add def
  % \Pst@Debug\space 1 eq {
  %ai [ order 1 add 1 praXr praYt \psk@MaScale\space false false ] PRA } if
  /dummyai order 1 add array def
  0 1 dummyai length 1 sub {/ci ED dummyai ci 0 put } for
  0 1 ai length 1 sub {/ci ED dummyai ci 1 add ai ci get put } for
  /ai dummyai def
  ai 0 Yint put
  %ai [ order 2 sub 1 0 0 \psk@MaScale\space true false ] PRA
  }{ \tx@GaussSolve } ifelse
  %\Pst@Debug\space 1 eq {
  %ai [ order 1 add 1 praXr praYt \psk@MaScale\space false false ] PRA } if
  %%%%%%%%%%%%%%%%%%%%%%%%%%
  %% END SOLVE CURVE FITS %%
  %%%%%%%%%%%%%%%%%%%%%%%%%%
  %%%%%%%%%%%%%%%%%%%%%
  %% PLOT CURVE FITS %%
  %%%%%%%%%%%%%%%%%%%%%
  newpath
  (\psk@xStart) length 0 gt             % special start value?
  { \psk@xStart\space /xStart ED } if 
  (\psk@xEnd) length 0 gt             % special end value?
  { \psk@xEnd\space /xEnd ED } if
  /xStep xEnd xStart sub \psk@plotpoints\space div def
  /Xnow xStart def
  /Ynow 0 def
  1 1 m { /ci exch def ai ci 1 sub get ci 1 sub { Xnow FXtrans mul } repeat Ynow add /Ynow exch def } for
  Xnow Ynow RYtrans PLU moveto
  \psk@plotpoints\space cvi
  { /Xnow Xnow xStep add def
  /Ynow 0 def
  1 1 m { /ci exch def ai ci 1 sub get ci 1 sub { Xnow FXtrans mul } repeat Ynow add /Ynow exch def } for
  Xnow Ynow RYtrans PLU lineto
  } repeat
  %
  /yminusdot 0 def
  /yminusbar 0 def
  n {
    2 copy
    /Ynow ED
    /Xnow ED
    /Ydot 0 def
    1 1 m { /ci exch def
     ai ci 1 sub get ci 1 sub { Xnow mul } repeat Ydot add /Ydot exch def } for %
    Ynow Ydot sub dup mul yminusdot add /yminusdot ED
    Ynow ybar sub dup mul yminusbar add /yminusbar ED
    n 2 mul 2 roll
  } repeat
  1 yminusdot yminusbar div sub /rsquared ED
  %%%%%%%%%%%%%%%%%%%%%%%%%
  %% END PLOT CURVE FITS %%
  %%%%%%%%%%%%%%%%%%%%%%%%%
  %%%%%%%%%%%%%%%%%%%%%%%%%%%
  %% START PRINT EQUATIONS %%
  %%%%%%%%%%%%%%%%%%%%%%%%%%%
  \ifPst@ShowEq
  % Setup Cursor
  (\psk@EqPos) length 0 gt
  {\psk@EqPos\space PLU }
  {2 -5 PLU } ifelse moveto
 % Power Fit Equation %
  \psk@PowerFit\space {
  10 ai 0 get exp
  \psk@decimals\space -1 gt
    { 10 \psk@decimals exp dup 3 1 roll mul round exch div } if
    \psk@decimals\space 0 eq { cvi } if  /tmpA exch def
  ai 1 get
  \psk@decimals\space -1 gt
    { 10 \psk@decimals exp dup 3 1 roll mul round exch div } if
    \psk@decimals\space 0 eq { cvi } if  /tmpB exch def
  (y = ) show
  tmpA  \psk@valuewidth string cvs show
  (x) show
  0 \psk@fontscale 4 div rmoveto
  mfontexp tmpB \psk@valuewidth string cvs show mfont
  0 \psk@fontscale 4 div neg rmoveto
  setYint Yint 0 ne and { Yint 0 gt { (+) show } if Yint \psk@valuewidth string cvs show } if } if
 % Exponential Fit Equation %
  \psk@ExpFit\space {
  Euler ai 0 get exp
  \psk@decimals\space -1 gt
    { 10 \psk@decimals exp dup 3 1 roll mul round exch div } if
    \psk@decimals\space 0 eq { cvi } if  /tmpA exch def
  Euler ai 1 get exp
  \psk@decimals\space -1 gt
    { 10 \psk@decimals exp dup 3 1 roll mul round exch div } if
    \psk@decimals\space 0 eq { cvi } if  /tmpB exch def
  (y = ) show
  (\string\050) show tmpA \psk@valuewidth string cvs show (\string\051) show
  %(e) show
  (\string\264) show
  %0 \psk@fontscale 4 div rmoveto
  %mfontexp tmpB \psk@valuewidth string cvs show
  (\string\050) show tmpB \psk@valuewidth string cvs show (\string\051) show
  0 \psk@fontscale 2 div rmoveto
  mfontexp (x) show mfont
  0 \psk@fontscale 2 div neg rmoveto
  setYint Yint 0 ne and { Yint 0 gt { (+) show } if Yint \psk@valuewidth string cvs show } if} if
  % Gaussian Fit Equation %
  \psk@GaussFit\space {
  /tmpA Euler ai 0 get ai 1 get dup mul 4 div ai 2 get div sub exp def
  /tmpB ai 1 get 2 div ai 2 get div def
  /tmpC ai 2 get def
  tmpA
  \psk@decimals\space -1 gt
    { 10 \psk@decimals exp dup 3 1 roll mul round exch div } if
    \psk@decimals\space 0 eq { cvi } if  /tmpA exch def
  tmpB
  \psk@decimals\space -1 gt
    { 10 \psk@decimals exp dup 3 1 roll mul round exch div } if
    \psk@decimals\space 0 eq { cvi } if  /tmpB exch def
  tmpC
  \psk@decimals\space -1 gt
    { 10 \psk@decimals exp dup 3 1 roll mul round exch div } if
    \psk@decimals\space 0 eq { cvi } if  /tmpC exch def
  (y = ) show
  tmpA 30 string cvs show
  (e) show
  0 \psk@fontscale 4 div rmoveto
  mfontexp tmpC \psk@valuewidth string cvs show
  (\string\(x) show
  tmpB 0 ne { tmpB 0 ge { (+) show } if tmpB \psk@valuewidth string cvs show } if
  (\string\)) show
  0 \psk@fontscale 4 div rmoveto (2) show mfont
  0 \psk@fontscale 2 div neg rmoveto
  setYint Yint 0 ne and { Yint 0 gt { (+) show } if Yint \psk@valuewidth string cvs show } if } if
  %%%%%%%%%%%%%%%
  % Round Coeff %
  %%%%%%%%%%%%%%%
  0 1 ai length 1 sub {/ci exch def
    ai ci get
    \psk@decimals\space -1 gt
    { 10 \psk@decimals exp dup 3 1 roll mul round exch div } if
    \psk@decimals\space 0 eq { cvi } if
  ai ci 3 -1 roll put } for
  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  % Plot Polynomial (including Linear) Fit %
  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  PolyEq { (y =) show
  1 1 m { /ci exch def
          ai ci 1 sub get 30 string cvs show
          ci 1 sub 0 gt { xPr } if
          ci 1 sub 1 gt {%
             0 \psk@fontscale 4 div rmoveto ci 1 sub 30 string cvs show
             0 \psk@fontscale 4 div neg rmoveto } if 
          ci m eq not { ai ci get 0 lt {}{ (+) show } ifelse } if
  } for } if
  %Print Rsquared
  rsquared
  \psk@decimals\space -1 gt
  { 10 \psk@decimals exp dup 3 1 roll mul round exch div } if
  \psk@decimals\space 0 eq { cvi } if  /rsquared exch def
  \psk@EqPos\space PLU moveto
  0 \psk@fontscale 1.5 mul neg rmoveto
  (R) show
  0 \psk@fontscale 2 div rmoveto
  mfontexp (2) show mfont
  0 \psk@fontscale 2 div neg rmoveto
  ( = ) show
  rsquared \psk@valuewidth string cvs show
  \fi 
}
%
\def\tx@GaussSolve{GaussSolve }
\pst@def{GaussSolve}<{%
%Required Variables
%order,A,B,ai
  /er 1 def  %
  /tol 0.00001 def %
  /m order 1 add def %number of equations
  /Aout m m mul array def %This is for printing the scaled identity matrix which A becomes
  0 1 Aout length 1 sub { Aout exch 0 put } for
  /elem { exch 1 sub m mul add 1 sub } def %Array i j
  %DETERMINE SCALE FACTORS
  /sc m array def %row scale factors
  0 1 sc length 1 sub { sc exch 0 put } for
  1 1 m { /ci exch def
    sc
    ci 1 sub
    A ci 1 elem get
    dup mul sqrt
    put
    2 1 m { /cj exch def
      A ci cj elem get
      dup mul sqrt
      sc ci 1 sub get gt {%
      sc
      ci 1 sub
      A ci cj elem get
      dup mul sqrt
      put } if
    } for
  % 1 ci mul 1 sc ci 1 sub get 30 string cvs show
  } for
  %END OF SCALE FACTORS
  %CALL ELIMINATE
  order 1 ge {%
  1 1 m 1 sub { /ck exch def
    %Call Pivot
    /p ck def
    A ck ck elem get
    sc ck 1 sub get div
    dup mul sqrt
    /big exch def
    ck 1 add 1 m {/cii exch def
      A cii ck elem get
      sc cii 1 sub get div
      dup mul sqrt
      /dummy exch def
      dummy big gt { /big dummy def /p cii def } if
    } for
    p ck eq not {
    ck 1 m {/cjj exch def
      A p cjj elem get
      /dummy exch def
      A p cjj elem
      A ck cjj elem get
      put
      A ck cjj elem
      dummy
      put
    } for
    B p 1 sub get
    /dummy exch def
    B p 1 sub
    B ck 1 sub get
    put
    B ck 1 sub
    dummy
    put
    sc p 1 sub get
    /dummy exch def
    sc p 1 sub
    sc ck 1 sub get
    put
    sc ck 1 sub
    dummy
    put
    } if 
    %End Pivot
    %Back to Eliminate
    A ck ck elem get
    sc ck 1 sub get div
    dup mul sqrt tol lt { /er -1 def } if
    ck 1 add 1 m { /ci exch def
      A ci ck elem get
      A ck ck elem get div
      /factor exch def
      %ck 1 add 1 m { /cj exch def
      1 1 m { /cj exch def  %Line Changed from above, requires more calcs but allows debugging of matrix ops.
        A ci cj elem %index
        A ci cj elem get
        A ck cj elem get
        factor
        mul sub %value
        put
      } for
      B ci 1 sub %index
      B ci 1 sub get
      B ck 1 sub get
      factor
      mul sub %value
      put
    } for
  } for
    \Pst@Debug\space 1 eq {
    A [ order 1 add order 1 add praXr praYt \psk@MaScale\space true false ] PRA
    B [ order 1 add 1 praXr praYt \psk@MaScale\space false true ] PRA
  } if
  } if
  %Start Back Substitution
  %Add Error check for er -1
  ai m 1 sub
  B m 1 sub get
  A m m elem get
  div put
  %%%%Added for debug
  Aout m m elem
  A m m elem get dup div
  put
  %%%%
  order 1 ge {%
  m 1 sub -1 1 { /ci exch def
    /sum 0 def
    ci 1 add 1 m { /cj exch def
      A ci cj elem get
      ai cj 1 sub get
      mul sum add
      /sum exch def
    } for
    ai ci 1 sub
    B ci 1 sub get
    sum sub
    A ci ci elem get
    div put
    %%%%Added for debug
    Aout ci ci elem
    A ci ci elem get dup div
    put
    %%%%
  } for
  A ck ck elem get
  sc ck 1 sub get div
  dup mul sqrt tol lt { /er -1 def } if
  } if
  \Pst@Debug\space 1 eq {
  Aout [ order 1 add order 1 add praXr praYt \psk@MaScale\space true false ] PRA
  ai [ order 1 add 1 praXr praYt \psk@MaScale\space false false ] PRA } if}>

%
\catcode`\@=\PstAtCode\relax
%
%% END: pst-fit.tex
\endinput