CRESC132.SIF

***************************
* SET UP THE INITIAL DATA *
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NAME          CRESC132

*   Problem :
*   *********

*   This problem consists in finding the crescent of smallest area containing
*   a set of points given in the plane.   This problem arises as a subproblem
*   in pattern recognition and has been suggested by J.P. Rasson.  It
*   originates in the detection of "salt domes" (with the potential presence of
*   oil pockets!) from geological data.

*   The problem is not convex.

*   A crescent is defined as follows.  Assume one has two circles of center
*   C1 and C2 and of radii r1 and r2 respectively. Assume furthermore that
*   r1 >= r2 and that C2 is within C1.  Assume finally that the distance from
*   C1 to C2 is >= r1 - r2.  Then the crescent is the part of the plane
*   contained in circle 2 but not in circle 1.

*   In order to preserve feasibility at all stages (ensuring that the
*   crescent exists and that its area can be computed), the following
*   parametrization is used:

*   ( C2x, C2y ) = ( C1x, C1y ) + a * d * ( cos(t), sin(t) )

*   r1 = a * d + r 

*   r2 = ( a + 1 ) * d + r

*   with the bounds

*   a >= 1, 0 <= t <= 2 * pi, r2 >= 0 , 0 <= d <= 1.

*   SIF input: Ph. Toint, June 1993.

*   classification OOR2-MY-6-2654

*   number of points to be included in the crescent.
*   the number of constraints is 2*NP

 IE NP                  1327

*   data points

 RE X1                  0.54160
 RE Y1                  0.21689

 RE X2                  0.62933
 RE Y2                  0.48206

 RE X3                  0.50333
 RE Y3                  0.51776

 RE X4                  0.48624
 RE Y4                  0.50858

 RE X5                  0.66324
 RE Y5                  0.02686

 RE X6                  0.21786
 RE Y6                  0.95581

 RE X7                  0.46863
 RE Y7                  0.51147

 RE X8                  0.76315
 RE Y8                  0.04459

 RE X9                  0.51715
 RE Y9                  0.82867

 RE X10                 0.85770
 RE Y10                 0.46561

 RE X11                 0.96133
 RE Y11                 0.01163

 RE X12                 0.24216
 RE Y12                 0.87390

 RE X13                 0.69666
 RE Y13                 0.01865

 RE X14                 0.21701
 RE Y14                 0.87833

 RE X15                 0.71820
 RE Y15                 0.60071

 RE X16                 0.82928
 RE Y16                 0.25519

 RE X17                 0.54565
 RE Y17                 0.61316

 RE X18                 0.37076
 RE Y18                 0.88333

 RE X19                 0.62225
 RE Y19                 0.23712

 RE X20                 0.58820
 RE Y20                 0.02582

 RE X21                 0.52753
 RE Y21                 0.51657

 RE X22                 0.55716
 RE Y22                 0.12753

 RE X23                 0.73499
 RE Y23                 0.21698

 RE X24                 0.51770
 RE Y24                 0.41684

 RE X25                 0.66418
 RE Y25                 0.36417

 RE X26                 0.92169
 RE Y26                 0.17413

 RE X27                 0.55020
 RE Y27                 0.53085

 RE X28                 0.83667
 RE Y28                 0.31583

 RE X29                 0.26065
 RE Y29                 0.80185

 RE X30                 0.25485
 RE Y30                 0.96469

 RE X31                 0.47543
 RE Y31                 0.31760

 RE X32                 0.49014
 RE Y32                 0.33707

 RE X33                 0.72913
 RE Y33                 0.29944

 RE X34                 0.47360
 RE Y34                 0.81223

 RE X35                 0.34262
 RE Y35                 0.85269

 RE X36                 0.34497
 RE Y36                 0.77600

 RE X37                 0.59692
 RE Y37                 0.58630

 RE X38                 0.51666
 RE Y38                 0.61298

 RE X39                 0.73492
 RE Y39                 0.41916

 RE X40                 0.43579
 RE Y40                 0.48877

 RE X41                 0.51633
 RE Y41                 0.64871

 RE X42                 0.85379
 RE Y42                 0.10593

 RE X43                 0.58545
 RE Y43                 0.36688

 RE X44                 0.35999
 RE Y44                 0.75226

 RE X45                 0.14532
 RE Y45                 0.93146

 RE X46                 0.39978
 RE Y46                 0.54541

 RE X47                 0.48816
 RE Y47                 0.62222

 RE X48                 0.50375
 RE Y48                 0.82770

 RE X49                 0.79398
 RE Y49                 0.26215

 RE X50                 0.97574
 RE Y50                 0.04956

 RE X51                 0.92514
 RE Y51                 0.34409

 RE X52                 0.62531
 RE Y52                 0.43701

 RE X53                 0.96393
 RE Y53                 0.06812

 RE X54                 0.46826
 RE Y54                 0.76263

 RE X55                 0.45483
 RE Y55                 0.57288

 RE X56                 0.78513
 RE Y56                 0.05612

 RE X57                 0.83997
 RE Y57                 0.42236

 RE X58                 0.36212
 RE Y58                 0.91183

 RE X59                 0.91953
 RE Y59                 0.02765

 RE X60                 0.88242
 RE Y60                 0.36975

 RE X61                 0.85196
 RE Y61                 0.26825

 RE X62                 0.54974
 RE Y62                 0.64960

 RE X63                 0.76907
 RE Y63                 0.58398

 RE X64                 0.39380
 RE Y64                 0.91663

 RE X65                 0.85049
 RE Y65                 0.44461

 RE X66                 0.54111
 RE Y66                 0.53983

 RE X67                 0.39258
 RE Y67                 0.59894

 RE X68                 0.85501
 RE Y68                 0.03320

 RE X69                 0.43997
 RE Y69                 0.75696

 RE X70                 0.46423
 RE Y70                 0.64041

 RE X71                 0.42355
 RE Y71                 0.78772

 RE X72                 0.59024
 RE Y72                 0.49734

 RE X73                 0.22876
 RE Y73                 0.86469

 RE X74                 0.13995
 RE Y74                 0.90378

 RE X75                 0.67743
 RE Y75                 0.54556

 RE X76                 0.21875
 RE Y76                 0.87143

 RE X77                 0.25156
 RE Y77                 0.87564

 RE X78                 0.64081
 RE Y78                 0.45212

 RE X79                 0.68665
 RE Y79                 0.47601

 RE X80                 0.93658
 RE Y80                 0.34573

 RE X81                 0.09988
 RE Y81                 0.98404

 RE X82                 0.72522
 RE Y82                 0.66394

 RE X83                 0.78592
 RE Y83                 0.01431

 RE X84                 0.61807
 RE Y84                 0.78540

 RE X85                 0.68079
 RE Y85                 0.01340

 RE X86                 0.21017
 RE Y86                 0.95984

 RE X87                 0.75742
 RE Y87                 0.19827

 RE X88                 0.68811
 RE Y88                 0.21606

 RE X89                 0.65530
 RE Y89                 0.64539

 RE X90                 0.75302
 RE Y90                 0.59900

 RE X91                 0.36484
 RE Y91                 0.71927

 RE X92                 0.90869
 RE Y92                 0.25992

 RE X93                 0.18900
 RE Y93                 0.84836

 RE X94                 0.75620
 RE Y94                 0.07120

 RE X95                 0.59030
 RE Y95                 0.00677

 RE X96                 0.43054
 RE Y96                 0.87900

 RE X97                 0.77567
 RE Y97                 0.51868

 RE X98                 0.21884
 RE Y98                 0.93915

 RE X99                 0.48782
 RE Y99                 0.67944

 RE X100                0.18924
 RE Y100                0.95276

 RE X101                0.03528
 RE Y101                0.99069

 RE X102                0.40201
 RE Y102                0.75757

 RE X103                0.65097
 RE Y103                0.57840

 RE X104                0.97253
 RE Y104                0.16208

 RE X105                0.67447
 RE Y105                0.01050

 RE X106                0.72568
 RE Y106                0.32721

 RE X107                0.43781
 RE Y107                0.42691

 RE X108                0.69910
 RE Y108                0.67697

 RE X109                0.21890
 RE Y109                0.94821

 RE X110                0.33804
 RE Y110                0.80945

 RE X111                0.51605
 RE Y111                0.66125

 RE X112                0.72189
 RE Y112                0.63153

 RE X113                0.49237
 RE Y113                0.77936

 RE X114                0.88904
 RE Y114                0.25363

 RE X115                0.60083
 RE Y115                0.17761

 RE X116                0.47513
 RE Y116                0.27713

 RE X117                0.58395
 RE Y117                0.44702

 RE X118                0.38113
 RE Y118                0.56219

 RE X119                0.51871
 RE Y119                0.58185

 RE X120                0.50391
 RE Y120                0.25760

 RE X121                0.24042
 RE Y121                0.96912

 RE X122                0.54324
 RE Y122                0.39221

 RE X123                0.33105
 RE Y123                0.67093

 RE X124                0.54419
 RE Y124                0.59283

 RE X125                0.59348
 RE Y125                0.53360

 RE X126                0.86346
 RE Y126                0.45697

 RE X127                0.28952
 RE Y127                0.79517

 RE X128                0.42371
 RE Y128                0.78040

 RE X129                0.58020
 RE Y129                0.16278

 RE X130                0.22000
 RE Y130                0.82242

 RE X131                0.50696
 RE Y131                0.00757

 RE X132                0.50116
 RE Y132                0.58984

 RE X133                0.15094
 RE Y133                0.91092

 RE X134                0.33585
 RE Y134                0.89172

 RE X135                0.57849
 RE Y135                0.41049

 RE X136                0.69128
 RE Y136                0.37247

 RE X137                0.88251
 RE Y137                0.18231

 RE X138                0.53369
 RE Y138                0.73105

 RE X139                0.97183
 RE Y139                0.07727

 RE X140                0.93967
 RE Y140                0.07495

 RE X141                0.56335
 RE Y141                0.43082

 RE X142                0.33444
 RE Y142                0.66733

 RE X143                0.42215
 RE Y143                0.52017

 RE X144                0.54404
 RE Y144                0.41818

 RE X145                0.73151
 RE Y145                0.62259

 RE X146                0.57291
 RE Y146                0.59891

 RE X147                0.34119
 RE Y147                0.81439

 RE X148                0.57352
 RE Y148                0.02161

 RE X149                0.56900
 RE Y149                0.57785

 RE X150                0.35562
 RE Y150                0.91843

 RE X151                0.90332
 RE Y151                0.24686

 RE X152                0.64700
 RE Y152                0.01022

 RE X153                0.56223
 RE Y153                0.41599

 RE X154                0.66129
 RE Y154                0.50061

 RE X155                0.52634
 RE Y155                0.84552

 RE X156                0.47458
 RE Y156                0.48874

 RE X157                0.62076
 RE Y157                0.39838

 RE X158                0.78284
 RE Y158                0.04150

 RE X159                0.32205
 RE Y159                0.92969

 RE X160                0.47742
 RE Y160                0.37839

 RE X161                0.52524
 RE Y161                0.47382

 RE X162                0.31210
 RE Y162                0.75739

 RE X163                0.93207
 RE Y163                0.18329

 RE X164                0.87024
 RE Y164                0.18054

 RE X165                0.93704
 RE Y165                0.13342

 RE X166                0.68188
 RE Y166                0.10446

 RE X167                0.46976
 RE Y167                0.83115

 RE X168                0.62616
 RE Y168                0.32852

 RE X169                0.76010
 RE Y169                0.14313

 RE X170                0.64270
 RE Y170                0.12137

 RE X171                0.34268
 RE Y171                0.64639

 RE X172                0.70529
 RE Y172                0.39319

 RE X173                0.77863
 RE Y173                0.46478

 RE X174                0.64081
 RE Y174                0.01242

 RE X175                0.92673
 RE Y175                0.15961

 RE X176                0.47821
 RE Y176                0.23303

 RE X177                0.60547
 RE Y177                0.67947

 RE X178                0.81549
 RE Y178                0.46967

 RE X179                0.52353
 RE Y179                0.75720

 RE X180                0.61310
 RE Y180                0.31509

 RE X181                0.83630
 RE Y181                0.32532

 RE X182                0.92862
 RE Y182                0.32489

 RE X183                0.34805
 RE Y183                0.80762

 RE X184                0.86102
 RE Y184                0.47995

 RE X185                0.46542
 RE Y185                0.55936

 RE X186                0.58337
 RE Y186                0.06308

 RE X187                0.20514
 RE Y187                0.86145

 RE X188                0.41199
 RE Y188                0.82947

 RE X189                0.31586
 RE Y189                0.85519

 RE X190                0.70135
 RE Y190                0.39838

 RE X191                0.24005
 RE Y191                0.78214

 RE X192                0.49234
 RE Y192                0.42078

 RE X193                0.82001
 RE Y193                0.22183

 RE X194                0.94150
 RE Y194                0.28516

 RE X195                0.42944
 RE Y195                0.71655

 RE X196                0.65652
 RE Y196                0.21140

 RE X197                0.12097
 RE Y197                0.97995

 RE X198                0.48206
 RE Y198                0.45773

 RE X199                0.81302
 RE Y199                0.03683

 RE X200                0.84705
 RE Y200                0.11893

 RE X201                0.74316
 RE Y201                0.49753

 RE X202                0.33060
 RE Y202                0.86777

 RE X203                0.72208
 RE Y203                0.27747

 RE X204                0.55374
 RE Y204                0.02942

 RE X205                0.44366
 RE Y205                0.82263

 RE X206                0.97662
 RE Y206                0.03012

 RE X207                0.45923
 RE Y207                0.88522

 RE X208                0.25970
 RE Y208                0.77371

 RE X209                0.12183
 RE Y209                0.97940

 RE X210                0.33804
 RE Y210                0.77026

 RE X211                0.66983
 RE Y211                0.22232

 RE X212                0.43222
 RE Y212                0.63696

 RE X213                0.34082
 RE Y213                0.79529

 RE X214                0.99319
 RE Y214                0.04025

 RE X215                0.57758
 RE Y215                0.12170

 RE X216                0.53134
 RE Y216                0.42120

 RE X217                0.95584
 RE Y217                0.05212

 RE X218                0.92670
 RE Y218                0.35281

 RE X219                0.69833
 RE Y219                0.59177

 RE X220                0.65747
 RE Y220                0.03613

 RE X221                0.73309
 RE Y221                0.64996

 RE X222                0.75101
 RE Y222                0.29767

 RE X223                0.93280
 RE Y223                0.25522

 RE X224                0.99454
 RE Y224                0.08145

 RE X225                0.50208
 RE Y225                0.59604

 RE X226                0.90039
 RE Y226                0.35529

 RE X227                0.65378
 RE Y227                0.55804

 RE X228                0.93179
 RE Y228                0.07727

 RE X229                0.33554
 RE Y229                0.63162

 RE X230                0.06445
 RE Y230                0.95352

 RE X231                0.22940
 RE Y231                0.87817

 RE X232                0.73669
 RE Y232                0.41718

 RE X233                0.41214
 RE Y233                0.71335

 RE X234                0.89413
 RE Y234                0.23096

 RE X235                0.77637
 RE Y235                0.02972

 RE X236                0.54623
 RE Y236                0.06158

 RE X237                0.39355
 RE Y237                0.57956

 RE X238                0.64096
 RE Y238                0.24631

 RE X239                0.51059
 RE Y239                0.16669

 RE X240                0.51382
 RE Y240                0.73846

 RE X241                0.31033
 RE Y241                0.74915

 RE X242                0.68341
 RE Y242                0.52881

 RE X243                0.11908
 RE Y243                0.92743

 RE X244                0.50427
 RE Y244                0.71805

 RE X245                0.58548
 RE Y245                0.33893

 RE X246                0.46756
 RE Y246                0.72998

 RE X247                0.87164
 RE Y247                0.36920

 RE X248                0.86911
 RE Y248                0.00165

 RE X249                0.89169
 RE Y249                0.40952

 RE X250                0.63565
 RE Y250                0.76678

 RE X251                0.66882
 RE Y251                0.27405

 RE X252                0.41690
 RE Y252                0.66330

 RE X253                0.59067
 RE Y253                0.33987

 RE X254                0.89056
 RE Y254                0.04504

 RE X255                0.75345
 RE Y255                0.62006

 RE X256                0.25153
 RE Y256                0.92618

 RE X257                0.63541
 RE Y257                0.59979

 RE X258                0.63483
 RE Y258                0.57635

 RE X259                0.45010
 RE Y259                0.55402

 RE X260                0.69711
 RE Y260                0.61609

 RE X261                0.45349
 RE Y261                0.34201

 RE X262                0.54324
 RE Y262                0.04031

 RE X263                0.59848
 RE Y263                0.13495

 RE X264                0.55389
 RE Y264                0.02487

 RE X265                0.90610
 RE Y265                0.40311

 RE X266                0.50082
 RE Y266                0.64304

 RE X267                0.33566
 RE Y267                0.66153

 RE X268                0.46609
 RE Y268                0.49854

 RE X269                0.72919
 RE Y269                0.66486

 RE X270                0.83340
 RE Y270                0.38867

 RE X271                0.64279
 RE Y271                0.64520

 RE X272                0.25946
 RE Y272                0.81049

 RE X273                0.39304
 RE Y273                0.74905

 RE X274                0.56351
 RE Y274                0.20966

 RE X275                0.72031
 RE Y275                0.03473

 RE X276                0.80328
 RE Y276                0.44711

 RE X277                0.73618
 RE Y277                0.54666

 RE X278                0.90247
 RE Y278                0.02286

 RE X279                0.55826
 RE Y279                0.20261

 RE X280                0.70178
 RE Y280                0.22476

 RE X281                0.59622
 RE Y281                0.36343

 RE X282                0.66428
 RE Y282                0.18793

 RE X283                0.79526
 RE Y283                0.10822

 RE X284                0.53320
 RE Y284                0.71539

 RE X285                0.65277
 RE Y285                0.71875

 RE X286                0.56229
 RE Y286                0.47888

 RE X287                0.23163
 RE Y287                0.85419

 RE X288                0.63864
 RE Y288                0.00488

 RE X289                0.64667
 RE Y289                0.70325

 RE X290                0.84741
 RE Y290                0.13922

 RE X291                0.61911
 RE Y291                0.62119

 RE X292                0.21463
 RE Y292                0.82617

 RE X293                0.65744
 RE Y293                0.47968

 RE X294                0.51706
 RE Y294                0.27188

 RE X295                0.67123
 RE Y295                0.44702

 RE X296                0.81668
 RE Y296                0.38797

 RE X297                0.74628
 RE Y297                0.33319

 RE X298                0.59595
 RE Y298                0.27536

 RE X299                0.97781
 RE Y299                0.04794

 RE X300                0.25568
 RE Y300                0.94196

 RE X301                0.91107
 RE Y301                0.04950

 RE X302                0.41547
 RE Y302                0.61688

 RE X303                0.55994
 RE Y303                0.11569

 RE X304                0.22931
 RE Y304                0.93680

 RE X305                0.68576
 RE Y305                0.15897

 RE X306                0.57767
 RE Y306                0.52255

 RE X307                0.44525
 RE Y307                0.54337

 RE X308                0.56335
 RE Y308                0.02325

 RE X309                0.68704
 RE Y309                0.71631

 RE X310                0.49823
 RE Y310                0.35077

 RE X311                0.32773
 RE Y311                0.68896

 RE X312                0.66049
 RE Y312                0.30328

 RE X313                0.99130
 RE Y313                0.12570

 RE X314                0.65134
 RE Y314                0.38467

 RE X315                0.84610
 RE Y315                0.24750

 RE X316                0.84229
 RE Y316                0.21014

 RE X317                0.50336
 RE Y317                0.58826

 RE X318                0.60065
 RE Y318                0.35159

 RE X319                0.68268
 RE Y319                0.47891

 RE X320                0.22165
 RE Y320                0.89890

 RE X321                0.42581
 RE Y321                0.72092

 RE X322                0.61581
 RE Y322                0.39713

 RE X323                0.47177
 RE Y323                0.59076

 RE X324                0.94470
 RE Y324                0.01807

 RE X325                0.55609
 RE Y325                0.74045

 RE X326                0.64337
 RE Y326                0.03879

 RE X327                0.70413
 RE Y327                0.45383

 RE X328                0.45374
 RE Y328                0.38873

 RE X329                0.74231
 RE Y329                0.42999

 RE X330                0.27609
 RE Y330                0.74188

 RE X331                0.92471
 RE Y331                0.00931

 RE X332                0.57495
 RE Y332                0.78625

 RE X333                0.49606
 RE Y333                0.27792

 RE X334                0.85919
 RE Y334                0.38873

 RE X335                0.30853
 RE Y335                0.88535

 RE X336                0.41818
 RE Y336                0.90402

 RE X337                0.51425
 RE Y337                0.10593

 RE X338                0.58698
 RE Y338                0.09250

 RE X339                0.70746
 RE Y339                0.43558

 RE X340                0.72171
 RE Y340                0.48474

 RE X341                0.53833
 RE Y341                0.57700

 RE X342                0.50574
 RE Y342                0.50269

 RE X343                0.27667
 RE Y343                0.73880

 RE X344                0.68182
 RE Y344                0.42892

 RE X345                0.32394
 RE Y345                0.76736

 RE X346                0.76965
 RE Y346                0.57495

 RE X347                0.26120
 RE Y347                0.74231

 RE X348                0.86835
 RE Y348                0.01636

 RE X349                0.24768
 RE Y349                0.85712

 RE X350                0.33023
 RE Y350                0.71600

 RE X351                0.37045
 RE Y351                0.60748

 RE X352                0.74182
 RE Y352                0.25229

 RE X353                0.66608
 RE Y353                0.72919

 RE X354                0.94461
 RE Y354                0.25330

 RE X355                0.47729
 RE Y355                0.75049

 RE X356                0.78854
 RE Y356                0.12634

 RE X357                0.99298
 RE Y357                0.02512

 RE X358                0.50958
 RE Y358                0.43109

 RE X359                0.55240
 RE Y359                0.37164

 RE X360                0.27164
 RE Y360                0.75992

 RE X361                0.72067
 RE Y361                0.51859

 RE X362                0.66171
 RE Y362                0.28705

 RE X363                0.67978
 RE Y363                0.34067

 RE X364                0.95407
 RE Y364                0.16177

 RE X365                0.59521
 RE Y365                0.16101

 RE X366                0.43555
 RE Y366                0.77853

 RE X367                0.43991
 RE Y367                0.57224

 RE X368                0.53345
 RE Y368                0.60275

 RE X369                0.37088
 RE Y369                0.71509

 RE X370                0.38776
 RE Y370                0.80264

 RE X371                0.57050
 RE Y371                0.43219

 RE X372                0.89465
 RE Y372                0.07739

 RE X373                0.14807
 RE Y373                0.88751

 RE X374                0.43878
 RE Y374                0.74277

 RE X375                0.77402
 RE Y375                0.22784

 RE X376                0.87015
 RE Y376                0.47198

 RE X377                0.14322
 RE Y377                0.95258

 RE X378                0.75198
 RE Y378                0.60779

 RE X379                0.08945
 RE Y379                0.95001

 RE X380                0.71057
 RE Y380                0.35394

 RE X381                0.51855
 RE Y381                0.18079

 RE X382                0.87653
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 RE X383                0.41406
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 RE Y1165               0.81934

 RE X1166               0.56360
 RE Y1166               0.42902

 RE X1167               0.71970
 RE Y1167               0.17099

 RE X1168               0.64105
 RE Y1168               0.73459

 RE X1169               0.54913
 RE Y1169               0.56293

 RE X1170               0.42810
 RE Y1170               0.65643

 RE X1171               0.46915
 RE Y1171               0.83405

 RE X1172               0.13425
 RE Y1172               0.91656

 RE X1173               0.79724
 RE Y1173               0.38486

 RE X1174               0.54422
 RE Y1174               0.10846

 RE X1175               0.89392
 RE Y1175               0.12546

 RE X1176               0.58295
 RE Y1176               0.02228

 RE X1177               0.96417
 RE Y1177               0.05087

 RE X1178               0.64557
 RE Y1178               0.31656

 RE X1179               0.59744
 RE Y1179               0.38281

 RE X1180               0.93741
 RE Y1180               0.07980

 RE X1181               0.45914
 RE Y1181               0.45230

 RE X1182               0.51239
 RE Y1182               0.72452

 RE X1183               0.72253
 RE Y1183               0.02219

 RE X1184               0.82001
 RE Y1184               0.31793

 RE X1185               0.51041
 RE Y1185               0.55725

 RE X1186               0.84344
 RE Y1186               0.12149

 RE X1187               0.65720
 RE Y1187               0.52203

 RE X1188               0.63107
 RE Y1188               0.77136

 RE X1189               0.60907
 RE Y1189               0.70786

 RE X1190               0.48474
 RE Y1190               0.59128

 RE X1191               0.36572
 RE Y1191               0.79504

 RE X1192               0.53418
 RE Y1192               0.32312

 RE X1193               0.34045
 RE Y1193               0.86188

 RE X1194               0.90247
 RE Y1194               0.22769

 RE X1195               0.35620
 RE Y1195               0.80606

 RE X1196               0.75046
 RE Y1196               0.00742

 RE X1197               0.38745
 RE Y1197               0.61551

 RE X1198               0.90479
 RE Y1198               0.08292

 RE X1199               0.68164
 RE Y1199               0.67902

 RE X1200               0.38467
 RE Y1200               0.53522

 RE X1201               0.68726
 RE Y1201               0.63806

 RE X1202               0.78958
 RE Y1202               0.60342

 RE X1203               0.87408
 RE Y1203               0.34662

 RE X1204               0.33646
 RE Y1204               0.85190

 RE X1205               0.60077
 RE Y1205               0.72577

 RE X1206               0.51340
 RE Y1206               0.71335

 RE X1207               0.72522
 RE Y1207               0.23682

 RE X1208               0.80203
 RE Y1208               0.40167

 RE X1209               0.71463
 RE Y1209               0.63342

 RE X1210               0.58640
 RE Y1210               0.32651

 RE X1211               0.55179
 RE Y1211               0.35483

 RE X1212               0.72681
 RE Y1212               0.35986

 RE X1213               0.50317
 RE Y1213               0.73666

 RE X1214               0.93753
 RE Y1214               0.31595

 RE X1215               0.52347
 RE Y1215               0.70627

 RE X1216               0.62289
 RE Y1216               0.62579

 RE X1217               0.81097
 RE Y1217               0.51593

 RE X1218               0.49838
 RE Y1218               0.73679

 RE X1219               0.64413
 RE Y1219               0.45657

 RE X1220               0.83673
 RE Y1220               0.50626

 RE X1221               0.58075
 RE Y1221               0.47354

 RE X1222               0.86084
 RE Y1222               0.07407

 RE X1223               0.82184
 RE Y1223               0.44513

 RE X1224               0.57562
 RE Y1224               0.08542

 RE X1225               0.72565
 RE Y1225               0.41565

 RE X1226               0.73721
 RE Y1226               0.64359

 RE X1227               0.54108
 RE Y1227               0.78845

 RE X1228               0.60309
 RE Y1228               0.10880

 RE X1229               0.64767
 RE Y1229               0.39145

 RE X1230               0.47125
 RE Y1230               0.82849

 RE X1231               0.73859
 RE Y1231               0.43408

 RE X1232               0.60559
 RE Y1232               0.22653

 RE X1233               0.51987
 RE Y1233               0.01093

 RE X1234               0.73831
 RE Y1234               0.28601

 RE X1235               0.58182
 RE Y1235               0.27750

 RE X1236               0.59457
 RE Y1236               0.04922

 RE X1237               0.04550
 RE Y1237               0.99466

 RE X1238               0.56699
 RE Y1238               0.20932

 RE X1239               0.75110
 RE Y1239               0.14218

 RE X1240               0.24365
 RE Y1240               0.83990

 RE X1241               0.60080
 RE Y1241               0.41757

 RE X1242               0.52734
 RE Y1242               0.12973

 RE X1243               0.37085
 RE Y1243               0.65790

 RE X1244               0.81384
 RE Y1244               0.08310

 RE X1245               0.14066
 RE Y1245               0.88773

 RE X1246               0.68207
 RE Y1246               0.48996

 RE X1247               0.53061
 RE Y1247               0.47775

 RE X1248               0.70102
 RE Y1248               0.62738

 RE X1249               0.89383
 RE Y1249               0.11002

 RE X1250               0.63199
 RE Y1250               0.61484

 RE X1251               0.74225
 RE Y1251               0.46234

 RE X1252               0.95944
 RE Y1252               0.14493

 RE X1253               0.89685
 RE Y1253               0.25394

 RE X1254               0.66977
 RE Y1254               0.57535

 RE X1255               0.39841
 RE Y1255               0.77005

 RE X1256               0.57352
 RE Y1256               0.07275

 RE X1257               0.70798
 RE Y1257               0.06491

 RE X1258               0.50888
 RE Y1258               0.03806

 RE X1259               0.63165
 RE Y1259               0.39825

 RE X1260               0.22440
 RE Y1260               0.89694

 RE X1261               0.64706
 RE Y1261               0.59515

 RE X1262               0.73654
 RE Y1262               0.43408

 RE X1263               0.90305
 RE Y1263               0.19601

 RE X1264               0.27509
 RE Y1264               0.86838

 RE X1265               0.76950
 RE Y1265               0.57300

 RE X1266               0.77832
 RE Y1266               0.58163

 RE X1267               0.51651
 RE Y1267               0.42645

 RE X1268               0.79831
 RE Y1268               0.29727

 RE X1269               0.54395
 RE Y1269               0.36243

 RE X1270               0.85165
 RE Y1270               0.16577

 RE X1271               0.44940
 RE Y1271               0.58524

 RE X1272               0.07697
 RE Y1272               0.98785

 RE X1273               0.46539
 RE Y1273               0.38312

 RE X1274               0.74841
 RE Y1274               0.39874

 RE X1275               0.28668
 RE Y1275               0.70624

 RE X1276               0.64755
 RE Y1276               0.46005

 RE X1277               0.78555
 RE Y1277               0.32849

 RE X1278               0.62958
 RE Y1278               0.56967

 RE X1279               0.50473
 RE Y1279               0.58600

 RE X1280               0.59976
 RE Y1280               0.37314

 RE X1281               0.58389
 RE Y1281               0.02817

 RE X1282               0.48553
 RE Y1282               0.38306

 RE X1283               0.86618
 RE Y1283               0.14053

 RE X1284               0.87036
 RE Y1284               0.38132

 RE X1285               0.71774
 RE Y1285               0.10913

 RE X1286               0.47864
 RE Y1286               0.23087

 RE X1287               0.69226
 RE Y1287               0.01773

 RE X1288               0.65326
 RE Y1288               0.36481

 RE X1289               0.71921
 RE Y1289               0.27429

 RE X1290               0.40759
 RE Y1290               0.61020

 RE X1291               0.84778
 RE Y1291               0.09155

 RE X1292               0.48514
 RE Y1292               0.75827

 RE X1293               0.51196
 RE Y1293               0.00528

 RE X1294               0.86984
 RE Y1294               0.47476

 RE X1295               0.87909
 RE Y1295               0.37329

 RE X1296               0.66605
 RE Y1296               0.11282

 RE X1297               0.55740
 RE Y1297               0.04608

 RE X1298               0.55548
 RE Y1298               0.80542

 RE X1299               0.52988
 RE Y1299               0.41132

 RE X1300               0.73978
 RE Y1300               0.30347

 RE X1301               0.47830
 RE Y1301               0.61679

 RE X1302               0.66858
 RE Y1302               0.62909

 RE X1303               0.91443
 RE Y1303               0.34836

 RE X1304               0.64688
 RE Y1304               0.06580

 RE X1305               0.19150
 RE Y1305               0.83286

 RE X1306               0.72729
 RE Y1306               0.48456

 RE X1307               0.52570
 RE Y1307               0.60519

 RE X1308               0.31165
 RE Y1308               0.74872

 RE X1309               0.37616
 RE Y1309               0.55774

 RE X1310               0.51678
 RE Y1310               0.04370

 RE X1311               0.48196
 RE Y1311               0.47556

 RE X1312               0.51657
 RE Y1312               0.33173

 RE X1313               0.67184
 RE Y1313               0.52243

 RE X1314               0.57285
 RE Y1314               0.62619

 RE X1315               0.21893
 RE Y1315               0.92703

 RE X1316               0.89090
 RE Y1316               0.24069

 RE X1317               0.58350
 RE Y1317               0.77185

 RE X1318               0.62216
 RE Y1318               0.37521

 RE X1319               0.62418
 RE Y1319               0.59848

 RE X1320               0.07834
 RE Y1320               0.98727

 RE X1321               0.98340
 RE Y1321               0.11734

 RE X1322               0.76682
 RE Y1322               0.56870

 RE X1323               0.48587
 RE Y1323               0.73343

 RE X1324               0.61298
 RE Y1324               0.50803

 RE X1325               0.74075
 RE Y1325               0.27768

 RE X1326               0.90921
 RE Y1326               0.12051

 RE X1327               0.58258
 RE Y1327               0.59561


*   useful constants

 IE 1                   1

VARIABLES

 X  V1
 X  W1
 X  D
 X  A
 X  T
 X  R

GROUPS

 XN OBJ

 DO I         1                        NP
 XL IS2(I)
 XG OS1(I)
 ND

BOUNDS

 XR CRESC132  V1
 XR CRESC132  W1

 XL CRESC132  R          0.39
 XL CRESC132  A          1.0
 XL CRESC132  T          0.0
 XU CRESC132  T          6.2831852
 XL CRESC132  D          1.0D-8

START POINT

 XV CRESC132  V1         -40.0
 XV CRESC132  W1         5.0
 XV CRESC132  R          0.75
 XV CRESC132  A          2.0
 XV CRESC132  T          1.5
 XV CRESC132  D          1.0

ELEMENT TYPE

 EV SQR1      A                        R
 EV SQR1      D

 EV SQR2      D                        R
 IV SQR2      RAD

 EV SC        AZ                       BZ
 EV SC        DZ

 EV DIST      X
 EP DIST      P

 EV DISTX     X                        T
 EV DISTX     A                        D
 EP DISTX     P

 EV DISTY     X                        T
 EV DISTY     A                        D
 EP DISTY     P

ELEMENT USES

 XT OB        SC
 ZV OB        AZ                       A
 ZV OB        BZ                       R
 ZV OB        DZ                       D

 XT R2SQ      SQR2
 ZV R2SQ      D                        D
 ZV R2SQ      R                        R

 XT R1SQ      SQR1
 ZV R1SQ      D                        D
 ZV R1SQ      A                        A
 ZV R1SQ      R                        R

 DO I         1                        NP

 XT XV1(I)    DIST
 ZV XV1(I)    X                        V1
 ZP XV1(I)    P                        X(I)

 XT XV2(I)    DISTX
 ZV XV2(I)    X                        V1
 ZV XV2(I)    A                        A
 ZV XV2(I)    D                        D
 ZV XV2(I)    T                        T
 ZP XV2(I)    P                        X(I)

 XT YW1(I)    DIST
 ZV YW1(I)    X                        W1
 ZP YW1(I)    P                        Y(I)

 XT YW2(I)    DISTY
 ZV YW2(I)    X                        W1
 ZV YW2(I)    A                        A
 ZV YW2(I)    D                        D
 ZV YW2(I)    T                        T
 ZP YW2(I)    P                        Y(I)

 ND

GROUP USES

 XE OBJ       OB

 DO I         1                        NP

 XE IS2(I)    XV2(I)                   YW2(I)
 XE IS2(I)    R2SQ       -1.0

 XE OS1(I)    XV1(I)                   YW1(I)
 XE OS1(I)    R1SQ       -1.0

 ND

OBJECT BOUND

*   Solution             ??????????

ENDATA

***********************
* SET UP THE FUNCTION *
* AND RANGE ROUTINES  *
***********************

ELEMENTS      CRESC132 

TEMPORARIES

 R  A
 R  AB
 R  AD
 R  B
 R  BT
 R  BA
 R  BB
 R  BD
 R  BAD
 R  C
 R  CQ
 R  CT
 R  CA
 R  CB
 R  CD
 R  CH
 R  CHH
 R  CAA
 R  CAB
 R  CAD
 R  CBB
 R  CBD
 R  CDD
 R  D
 R  D2
 R  DA
 R  DD
 R  DAD
 R  E
 R  EA
 R  EB
 R  ED
 R  EAB
 R  EAD
 R  EBD
 R  EDD
 R  F
 R  FA
 R  FB
 R  FD
 R  FAA
 R  FAB
 R  FAD
 R  FBB
 R  FBD
 R  FDD
 R  G
 R  SG
 R  CG
 R  GF
 R  GA
 R  GB
 R  GD
 R  GFF
 R  GAA
 R  GAB
 R  GAD
 R  GBB
 R  GBD
 R  GDD
 R  H
 R  HA
 R  HB
 R  HD
 R  HAA
 R  HAB
 R  HAD
 R  HBB
 R  HBD
 R  HDD
 R  I
 R  IA
 R  IB
 R  ID
 R  IAA
 R  IAB
 R  IAD
 R  IBB
 R  IBD
 R  IDD
 R  J
 R  JA
 R  JB
 R  JD
 R  JAA
 R  JAB
 R  JAD
 R  JBB
 R  JBD
 R  JDD
 R  K
 R  KX
 R  KY
 R  KA
 R  KB
 R  KD
 R  L
 R  LA
 R  LB
 R  LD
 R  LAA
 R  LAB
 R  LAD
 R  LBB
 R  LBD
 R  LDD
 R  M
 R  MA
 R  MB
 R  MD
 R  N
 R  NB
 R  ND
 R  O
 R  OD
 R  P
 R  PA
 R  PB
 R  PD
 R  PAA
 R  PAB
 R  PAD
 R  PBD
 R  PDD
 R  Q
 R  QL
 R  QLL
 R  QA
 R  QB
 R  QD
 R  QAA
 R  QAB
 R  QAD
 R  QBB
 R  QBD
 R  QDD
 R  R
 R  RA
 R  RB
 R  RD
 R  RAA
 R  RAB
 R  RAD
 R  RBB
 R  RBD
 R  RDD
 R  S
 R  SQ
 R  ST
 R  SA
 R  SB
 R  SD
 R  SAA
 R  SAB
 R  SAD
 R  SBB
 R  SBD
 R  SDD
 R  U
 R  UA
 R  UB
 R  UD
 R  UAA
 R  UAB
 R  UAD
 R  UBB
 R  UBD
 R  UDD
 R  V
 R  VA
 R  VB
 R  VD
 R  VAA
 R  VAB
 R  VAD
 R  VBB
 R  VBD
 R  VDD
 R  W
 R  WA
 R  WB
 R  WD
 R  WAA
 R  WAB
 R  WAD
 R  WBB
 R  WBD
 R  WDD
 M  SQRT
 M  SIN
 M  COS
 M  ACOS
 M  ACOS

INDIVIDUALS

 T  SQR1
 A  Q                   A * D + R
 F                      Q * Q
 G  A                   2.0 * Q * D
 G  D                   2.0 * Q * A
 G  R                   2.0 * Q
 H  A         A         2.0 * D * D
 H  A         D         2.0 * ( A * D + Q )
 H  A         R         2.0 * D
 H  D         D         2.0 * A * A
 H  D         R         2.0 * A
 H  R         R         2.0


 T  SQR2
 R  RAD       D         1.0            R         1.0
 F                      RAD * RAD
 G  RAD                 RAD + RAD
 H  RAD       RAD       2.0


 T  SC

 A  A                   DZ + BZ
 A  AB                  1.0
 A  AD                  1.0

 A  B                   AZ * DZ + BZ
 A  BA                  DZ
 A  BB                  1.0
 A  BD                  AZ
 A  BAD                 1.0

 A  D                   AZ * DZ
 A  DA                  DZ
 A  DD                  AZ
 A  DAD                 1.0

 A  E                   2.0 * A * D
 A  EA                  2.0 * A * DA
 A  EB                  2.0 * AB * D
 A  ED                  2.0 * ( A * DD + AD * D )
 A  EAB                 2.0 * AB * DA
 A  EAD                 2.0 * ( AD * DA + A * DAD )
 A  EBD                 2.0 * AB * DD
 A  EDD                 2.0 * ( AD * DD + AD * DD )

 A  P                   2.0 * B * D
 A  PA                  2.0 * ( B * DA + BA * D )
 A  PB                  2.0 * BB * D
 A  PD                  2.0 * ( B * DD + BD * D )
 A  PAA                 2.0 * ( BA * DA + BA * DA )
 A  PAB                 2.0 * BB * DA
 A  PAD                 2.0 * ( BD * DA + B * DAD + BAD * D 
 A+                      + BA * DD )
 A  PBD                 2.0 * BB * DD
 A  PDD                 2.0 * ( BD * DD + BD * DD )

 A  F                   D * D + B * B - A * A
 A  FA                  2.0 * ( D * DA + B * BA )
 A  FB                  2.0 * ( B * BB - A * AB )
 A  FD                  2.0 * ( D * DD + B * BD - A * AD )
 A  FAA                 2.0 * ( DA * DA + BA * BA )
 A  FAB                 2.0 * BB * BA
 A  FAD                 2.0 * ( DD * DA + D * DAD + BD * BA
 A+                      + B * BAD )
 A  FBB                 2.0 * ( BB * BB - AB * AB )
 A  FBD                 2.0 * ( BD * BB - AD * AB )
 A  FDD                 2.0 * ( DD * DD + BD * BD - AD * AD )

 A  G                   D * D - B * B + A * A
 A  GA                  2.0 * ( D * DA - B * BA )
 A  GB                  2.0 * ( - B * BB + A * AB )
 A  GD                  2.0 * ( D * DD - B * BD + A * AD )
 A  GAA                 2.0 * ( DA * DA - BA * BA ) 
 A  GAB                 - 2.0 * BB * BA
 A  GAD                 2.0 * ( DD * DA + D * DAD - BD * BA
 A+                      - B * BAD )
 A  GBB                 2.0 * ( - BB * BB + AB * AB )
 A  GBD                 2.0 * ( - BD * BB + AD * AB )
 A  GDD                 2.0 * ( DD * DD - BD * BD + AD * AD )

 A  H                   F / P
 A  I                   FA - H * PA
 A  J                   FB - H * PB
 A  K                   FD - H * PD
 A  HA                  I / P
 A  HB                  J / P
 A  HD                  K / P
 A  IA                  FAA - HA * PA - H * PAA
 A  IB                  FAB - HB * PA - H * PAB
 A  ID                  FAD - HD * PA - H * PAD
 A  JB                  FBB - HB * PB
 A  JD                  FBD - HD * PB - H * PBD
 A  KD                  FDD - HD * PD - H * PDD
 A  HAA                 ( IA - HA * PA ) / P
 A  HAB                 ( IB - HA * PB ) / P
 A  HAD                 ( ID - HA * PD ) / P
 A  HBB                 ( JB - HB * PB ) / P
 A  HBD                 ( JD - HB * PD ) / P
 A  HDD                 ( KD - HD * PD ) / P

 A  L                   - G / E
 A  M                   - GA - L * EA 
 A  N                   - GB - L * EB 
 A  O                   - GD - L * ED 
 A  LA                  M / E
 A  LB                  N / E
 A  LD                  O / E
 A  MA                  - GAA - LA * EA
 A  MB                  - GAB - LB * EA - L * EAB
 A  MD                  - GAD - LD * EA - L * EAD
 A  NB                  - GBB - LB * EB
 A  ND                  - GBD - LD * EB - L * EBD
 A  OD                  - GDD - LD * ED - L * EDD
 A  LAA                 ( MA - LA * EA ) / E
 A  LAB                 ( MB - LA * EB ) / E
 A  LAD                 ( MD - LA * ED ) / E
 A  LBB                 ( NB - LB * EB ) / E
 A  LBD                 ( ND - LB * ED ) / E
 A  LDD                 ( OD - LD * ED ) / E

 A  C                   ACOS( H )
 A  CH                  - 1.0 / SQRT( 1.0 - H * H )
 A  CHH                 CH * H / ( 1.0 - H * H )
 A  CA                  CH * HA
 A  CB                  CH * HB
 A  CD                  CH * HD
 A  CAA                 CHH * HA * HA + CH * HAA
 A  CAB                 CHH * HA * HB + CH * HAB
 A  CAD                 CHH * HA * HD + CH * HAD
 A  CBB                 CHH * HB * HB + CH * HBB
 A  CBD                 CHH * HB * HD + CH * HBD
 A  CDD                 CHH * HD * HD + CH * HDD

 A  Q                   ACOS( L )
 A  QL                  - 1.0 / SQRT( 1.0 - L * L )
 A  QLL                 QL * L / ( 1.0 - L * L )
 A  QA                  QL * LA
 A  QB                  QL * LB
 A  QD                  QL * LD
 A  QAA                 QLL * LA * LA + QL * LAA
 A  QAB                 QLL * LA * LB + QL * LAB
 A  QAD                 QLL * LA * LD + QL * LAD
 A  QBB                 QLL * LB * LB + QL * LBB
 A  QBD                 QLL * LB * LD + QL * LBD
 A  QDD                 QLL * LD * LD + QL * LDD

 A  R                   B * B * C 
 A  RA                  2.0 * B * BA * C + B * B * CA
 A  RB                  2.0 * B * BB * C + B * B * CB
 A  RD                  2.0 * B * BD * C + B * B * CD
 A  RAA                 2.0 * ( BA * BA * C + B * BA * CA 
 A+                      + B * BA * CA ) + B * B * CAA
 A  RAB                 2.0 * ( BB * BA * C + B * BA * CB 
 A+                      + B * BB * CA ) + B * B * CAB
 A  RAD                 2.0 * ( BD * BA * C + B * BAD * C
 A+                      + B * BA * CD + B * BD * CA )
 A+                      + B * B * CAD
 A  RBB                 2.0 * ( BB * BB * C + B * BB * CB 
 A+                      + B * BB * CB ) + B * B * CBB
 A  RBD                 2.0 * ( BD * BB * C + B * BB * CD 
 A+                      + B * BD * CB ) + B * B * CBD
 A  RDD                 2.0 * ( BD * BD * C + B * BD * CD 
 A+                      + B * BD * CD ) + B * B * CDD

 A  S                   A * A * Q 
 A  SA                  A * A * QA
 A  SB                  2.0 * A * AB * Q + A * A * QB
 A  SD                  2.0 * A * AD * Q + A * A * QD
 A  SAA                 A * A * QAA
 A  SAB                 2.0 * A * AB * QA + A * A * QAB
 A  SAD                 2.0 * A * AD * QA + A * A * QAD
 A  SBB                 2.0 * ( AB * AB * Q + A * AB * QB 
 A+                      + A * AB * QB ) + A * A * QBB
 A  SBD                 2.0 * ( AD * AB * Q + A * AB * QD 
 A+                      + A * AD * QB ) + A * A * QBD
 A  SDD                 2.0 * ( AD * AD * Q + A * AD * QD 
 A+                      + A * AD * QD ) + A * A * QDD

 A  SQ                  SIN( Q )
 A  CQ                  L
 A  W                   0.5 * E * SQ
 A  WA                  0.5 * ( EA * SQ + E * CQ * QA )
 A  WB                  0.5 * ( EB * SQ + E * CQ * QB )
 A  WD                  0.5 * ( ED * SQ + E * CQ * QD )
 A  WAA                 0.5 * ( EA * CQ * QA + EA * CQ * QA 
 A+                      - E * SQ * QA * QA + E * CQ * QAA )
 A  WAB                 0.5 * ( EAB * SQ + EA * CQ * QB
 A+                      + EB * CQ * QA - E * SQ * QB * QA
 A+                      + E * CQ * QAB )
 A  WAD                 0.5 * ( EAD * SQ + EA * CQ * QD
 A+                      + ED * CQ * QA - E * SQ * QD * QA
 A+                      + E * CQ * QAD ) 
 A  WBB                 0.5 * ( EB * CQ * QB
 A+                      + EB * CQ * QB - E * SQ * QB * QB
 A+                      + E * CQ * QBB )
 A  WBD                 0.5 * ( EBD * SQ + EB * CQ * QD
 A+                      + ED * CQ * QB - E * SQ * QD * QB
 A+                      + E * CQ * QBD )
 A  WDD                 0.5 * ( EDD * SQ + ED * CQ * QD
 A+                      + ED * CQ * QD - E * SQ * QD * QD
 A+                      + E * CQ * QDD )

 A  V                   S - R + W
 A  VA                  SA - RA + WA
 A  VB                  SB - RB + WB
 A  VD                  SD - RD + WD
 A  VAA                 SAA - RAA + WAA
 A  VAB                 SAB - RAB + WAB
 A  VAD                 SAD - RAD + WAD
 A  VBB                 SBB - RBB + WBB
 A  VBD                 SBD - RBD + WBD
 A  VDD                 SDD - RDD + WDD

 F                      V
 G  AZ                  VA
 G  BZ                  VB
 G  DZ                  VD
 H  AZ        AZ        VAA
 H  AZ        BZ        VAB
 H  AZ        DZ        VAD
 H  BZ        BZ        VBB
 H  BZ        DZ        VBD
 H  DZ        DZ        VDD

 T  DIST
 F                      ( X - P )**2
 G  X                   2.0 * ( X - P )
 H  X         X         2.0

 T  DISTY
 A  ST                  SIN( T )
 A  CT                  COS( T )
 A  B                   X +  A * D * ST - P
 A  BA                  D * ST
 A  BD                  A * ST
 A  BT                  A * D * CT
 F                      B * B
 G  X                   2.0 * B
 G  A                   2.0 * B * BA
 G  D                   2.0 * B * BD
 G  T                   2.0 * B * BT
 H  X         X         2.0
 H  X         A         2.0 * BA
 H  X         D         2.0 * BD
 H  X         T         2.0 * BT
 H  A         A         2.0 * BA * BA
 H  A         D         2.0 * ( BD * BA + B * ST )
 H  A         T         2.0 * ( BT * BA + B * D * CT )
 H  D         D         2.0 * BD * BD
 H  D         T         2.0 * ( BT * BD + B * A * CT )
 H  T         T         2.0 * ( BT * BT - B * A * D * ST )

 T  DISTX
 A  ST                  SIN( T )
 A  CT                  COS( T )
 A  B                   X + A * D * CT - P
 A  BA                  D * CT
 A  BD                  A * CT
 A  BT                  - A * D * ST    
 F                      B * B 
 G  X                   2.0 * B
 G  A                   2.0 * B * BA
 G  D                   2.0 * B * BD
 G  T                   2.0 * B * BT
 H  X         X         2.0
 H  X         A         2.0 * BA
 H  X         D         2.0 * BD
 H  X         T         2.0 * BT
 H  A         A         2.0 * BA * BA
 H  A         D         2.0 * ( BD * BA + B * CT )
 H  A         T         2.0 * ( BT * BA - B * D * ST )
 H  D         D         2.0 * BD * BD
 H  D         T         2.0 * ( BT * BD - B * A * ST )
 H  T         T         2.0 * ( BT * BT - B * A * D * CT )

ENDATA