This repository was archived by the owner on Dec 16, 2024. It is now read-only.
-
-
Notifications
You must be signed in to change notification settings - Fork 0
/
Copy pathGraphingDomain.fs
3523 lines (3380 loc) · 199 KB
/
GraphingDomain.fs
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
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
namespace GraphingCalculator
// Using types and functions from Conventional Domain
// that are common to the Graphing data Domain.
open GraphingCalculator.ConventionalDomain
open Math.Pure.Objects
open Math.Pure.Quantity
open Math.Pure.Structure
module GraphingDomain =
// Parameters
type X = X of NumberType
type Y = Y of NumberType
type Z = Z of NumberType
type T = T of NumberType
type U = U of NumberType
type V = V of NumberType
type Tstep = Tstep of NumberType
type Ustep = Ustep of NumberType
type Vstep = Vstep of NumberType
type Size = {height:NumberType; width:NumberType}
type SweepDirection =
/// positive-angle direction
| Clockwise
/// negative-angle direction
| CounterClockwise
type DrawingOptions =
{ upperX : X;
lowerX : X;
upperY : Y;
lowerY : Y;
upperT : T;
lowerT : T;
Tstep : Tstep;
upperU : U;
lowerU : U;
upperV : V;
lowerV : V;
uStep : Ustep;
vStep : Vstep}
// Geometry
type Point =
| Point of X * Y
| Point3D of X * Y * Z
type ArcSegment =
{ Point : Point
Size : Size
RotationAngle : NumberType
IsLargeArc : bool
SweepDirection : SweepDirection }
type BezierSegment =
{ Point1 : Point
Point2 : Point
Point3 : Point }
type QuadraticBezierSegment =
{ Point1 : Point
Point2 : Point }
type PathGeometry =
/// Creates a line between two points.
| LineSegment of Point
/// Creates an elliptical arc between two points.
| ArcSegment of ArcSegment
/// Creates a cubic Bezier curve between two points.
| BezierSegment of BezierSegment
/// Creates a quadratic Bezier curve.
| QuadraticBezierSegment of QuadraticBezierSegment
/// Creates a series of lines.
| PolyLineSegment of seq<Point>
/// Creates a series of cubic Bezier curves.
| PolyBezierSegment of seq<Point>
/// Creates a series of quadratic Bezier curves.
| PolyQuadraticBezierSegment of seq<Point>
type Trace = {startPoint:Point; traceSegments:PathGeometry list}
//type MeshGroup =
type Mesh =
| Surface of System.Windows.Media.Media3D.GeometryModel3D
| Curve of System.Windows.Media.Media3D.Model3DGroup
// types to describe results
type DrawError =
| Error of Error
| FailedToCreateTrace
| LazyCoder
| InputError
| UnexpectedModelType
| ParameterError
type DrawOperationResult =
| Traces of Trace list
| Mesh of Mesh
| DrawError of DrawError
type ExpressionOperationResult =
| ExpressionSuccess of Expression
| ExpressionError of Error
type ExpressionInput =
| Symbol of Symbol
| Function of Function
type ActiveExpression =
| X_
| Y_
| Z_
type PendingFunction = (Expression * Function)
type Parenthetical = Parenthetical of (Expression * PendingFunction option * Parenthetical option)
// data associated with each state
type ExpressionStateData =
{ expression : Expression;
pendingFunction : PendingFunction option;
parenthetical : Parenthetical option;
digits : ConventionalDomain.DigitAccumulator;
drawingOptions : DrawingOptions }
type EvaluatedStateData =
{ evaluatedExpression : Expression
pendingFunction : PendingFunction option;
drawingOptions : DrawingOptions}
type ParentheticalStateData =
{ evaluatedExpression : Expression
parenthetical : Parenthetical;
pendingFunction : PendingFunction Option;
drawingOptions : DrawingOptions }
type DrawStateData =
{ traceExpression : Expression;
trace:Trace list; // this doesn't need to be an option, just return [] when in 3D Mode
drawingOptions : DrawingOptions;
mesh : Mesh Option}
type ErrorStateData =
{ lastExpression : Expression;
error : DrawError }
type Dim3StateData = {x:Expression;y:Expression;z:Expression;activeExpression:ActiveExpression}
// Drawing
type DrawOp = Expression * DrawingOptions
type DrawOp3D = Dim3StateData * DrawingOptions
type CalculatorInput =
| ExpressionInput of ExpressionInput
| CalcInput of ConventionalDomain.CalculatorInput
| Stack of RpnDomain.CalculatorInput
| Draw
| Draw2DParametric
| Draw3DParametric
| OpenParentheses
| CloseParentheses
| GraphOptionSave of DrawingOptions
| GraphOptionReset
| ExpressionSquared
| ExpressionToThePowerOf
| SpiralExample
| EllipseExample
| HelixExample
| SphereExample
| ConeExample
| TorusExample
// States
type CalculatorState =
| EvaluatedState of EvaluatedStateData
| DrawState of DrawStateData
| ParentheticalState of ParentheticalStateData
| ExpressionDigitAccumulatorState of ExpressionStateData
| ExpressionDecimalAccumulatorState of ExpressionStateData
| DrawErrorState of ErrorStateData
| ExpressionErrorState of ErrorStateData
// 2D Parametric
| EvaluatedState2DParametric of EvaluatedStateData * CalculatorState
| DrawState2DParametric of DrawStateData * CalculatorState
| ParentheticalState2DParametric of ParentheticalStateData * CalculatorState
| ExpressionDigitAccumulatorState2DParametric of ExpressionStateData * CalculatorState
| ExpressionDecimalAccumulatorState2DParametric of ExpressionStateData * CalculatorState
// 3D Parametric
| EvaluatedState3DParametric of EvaluatedStateData * Dim3StateData
| DrawState3DParametric of DrawStateData * Dim3StateData
| ParentheticalState3DParametric of ParentheticalStateData * Dim3StateData
| ExpressionDigitAccumulatorState3DParametric of ExpressionStateData * Dim3StateData
| ExpressionDecimalAccumulatorState3DParametric of ExpressionStateData * Dim3StateData
type Evaluate = CalculatorInput * CalculatorState -> CalculatorState
// Graph Services
type AccumulateSymbol = ExpressionStateData -> Symbol -> Expression //StateData
type DoDrawOperation = DrawOp-> DrawOperationResult
type DoDraw2DParametricOperation = DrawOp * DrawOp -> DrawOperationResult
type DoDraw3DParametricOperation = DrawOp3D -> DrawOperationResult
type DoExpressionOperation = Function * Expression * Expression -> ExpressionOperationResult
type GetDisplayFromExpression = Expression -> string
type GetNumberFromAccumulator = ExpressionStateData -> NumberType
type GetDisplayFromGraphState = CalculatorState -> string
type GetErrorFromExpression = Expression -> Error
type GetDrawingOptionsFromState = CalculatorState -> DrawingOptions
type GetDim3DStateDataFromState = CalculatorState -> Dim3StateData
type SetDrawingOptions = CalculatorState * DrawingOptions -> CalculatorState
type GetDisplayFromPendingFunction = PendingFunction option -> string
type GetExpressionFromParenthetical = Parenthetical option -> Expression
type GetParentheticalFromExpression = Expression -> Parenthetical
type GetParentheticalFromCalculatorState = CalculatorState -> Parenthetical
type SetExpressionToParenthetical = Expression * (Parenthetical option) -> Parenthetical
type SetActivate3DStateExpression = CalculatorState * ActiveExpression -> CalculatorState
type CloseParenthetical = ParentheticalStateData -> CalculatorState
type Toggle2DParametricState = CalculatorState -> CalculatorState
type GraphServices = {
doDrawOperation :DoDrawOperation
doDraw2DParametricOperation :DoDraw2DParametricOperation
doDraw3DParametricOperation :DoDraw3DParametricOperation
doExpressionOperation :DoExpressionOperation
accumulateSymbol :AccumulateSymbol
accumulateZero :AccumulateZero
accumulateNonZeroDigit :AccumulateNonZeroDigit
accumulateSeparator :AccumulateSeparator
getNumberFromAccumulator :GetNumberFromAccumulator
getDisplayFromExpression :GetDisplayFromExpression
getDisplayFromGraphState :GetDisplayFromGraphState
getDrawingOptionsFromState :GetDrawingOptionsFromState
getDim3DStateDataFromState :GetDim3DStateDataFromState
setDrawingOptions :SetDrawingOptions
getDisplayFromPendingFunction :GetDisplayFromPendingFunction
getExpressionFromParenthetical :GetExpressionFromParenthetical
getParentheticalFromCalculatorState :GetParentheticalFromCalculatorState
setExpressionToParenthetical :SetExpressionToParenthetical
setActivate3DStateExpression :SetActivate3DStateExpression
closeParenthetical :CloseParenthetical
toggle2DParametricState :Toggle2DParametricState
}
module GraphingImplementation =
open GraphingDomain
open Utilities
let defaultOptions =
{ upperX = X (Math.Pure.Quantity.Real 150.);
lowerX = X (Math.Pure.Quantity.Real -150.);
upperY = Y (Math.Pure.Quantity.Real 150.);
lowerY = Y (Math.Pure.Quantity.Real -150.);
upperT = T (Math.Pure.Quantity.Real 10.);
lowerT = T (Math.Pure.Quantity.Real -10.);
Tstep = Tstep (Math.Pure.Quantity.Real 0.1)
upperU = U (Math.Pure.Quantity.Real (2.0 * System.Math.PI));
lowerU = U (Math.Pure.Quantity.Real 0.);
upperV = V (Math.Pure.Quantity.Real (2.0 * System.Math.PI));
lowerV = V (Math.Pure.Quantity.Real 0.);
uStep = Ustep (Math.Pure.Quantity.Real (0.1*System.Math.PI)) ;
vStep = Vstep (Math.Pure.Quantity.Real (0.1*System.Math.PI)) }
let accumulateNonZeroDigit services digit accumulatorData =
let digits = accumulatorData.digits
let newDigits = services.accumulateNonZeroDigit (digit, digits)
let newAccumulatorData = { accumulatorData with digits = newDigits }
newAccumulatorData // return
let accumulateZero services accumulatorData =
let digits = accumulatorData.digits
let newDigits = services.accumulateZero digits
let newAccumulatorData = { accumulatorData with digits = newDigits }
newAccumulatorData // return
let accumulateSeparator services accumulatorData =
let digits = accumulatorData.digits
let newDigits = services.accumulateSeparator digits
let newAccumulatorData = { accumulatorData with digits = newDigits }
newAccumulatorData // return
let accumulateSymbol services symbol expressionStateData =
let newAccumulatorData = services.accumulateSymbol expressionStateData symbol
newAccumulatorData // return
let getEvaluationState services (expressionStateData:ExpressionStateData) nextFunc =
// check expressionStateData for parenthetical
let returnEvaluatedState =
match expressionStateData.parenthetical with
| None -> true
| Some (Parenthetical(_a,None,None)) -> true
| _ -> false
// helper to create a new EvaluatedState from a given displayExpression
// and the nextOp parameter
let getNewState displayExpression =
let options = services.getDrawingOptionsFromState (ExpressionDigitAccumulatorState expressionStateData)
let newPendingFunc =
nextFunc
|> Option.map ( fun func -> displayExpression, func )
match returnEvaluatedState with
| true ->
{evaluatedExpression = displayExpression;
pendingFunction = newPendingFunc;
drawingOptions = options }
|> EvaluatedState
| false ->
let newParenthetical =
match expressionStateData.parenthetical.Value with
| Parenthetical(_,po,p) -> Parenthetical(Expression.Zero,po,p)
{evaluatedExpression = displayExpression;
pendingFunction = newPendingFunc;
drawingOptions = options;
parenthetical = newParenthetical}
|> ParentheticalState
let currentExpression =
let number = services.getNumberFromAccumulator expressionStateData |> Number
match expressionStateData.parenthetical with
| None -> number
| Some (Parenthetical(x,_,_)) when x <> Expression.Zero -> x
| _ -> number
// If there is no pending function, create a new ExpressionState using the currentNumber
let computeStateWithNoPendingOp = getNewState currentExpression
maybe {
let! (previousExpression,func) = expressionStateData.pendingFunction
let result = services.doExpressionOperation (func,previousExpression, currentExpression)
let newState =
match result with
| ExpressionSuccess resultExpression ->
// If there was a pending op, create a new ExpressionState using the result
getNewState resultExpression
| ExpressionError error ->
{lastExpression = previousExpression;
error = error |> Error}
|> ExpressionErrorState
return newState
} |> ifNone computeStateWithNoPendingOp
let doDrawOperation services drawOp =
let result = services.doDrawOperation drawOp
let expression, options = drawOp
match result with
| Traces t -> DrawState {traceExpression = expression; trace = t; drawingOptions = options; mesh = None}
| Mesh _m ->
{lastExpression = expression;
error = UnexpectedModelType}
|> DrawErrorState
| DrawError x ->
{lastExpression = expression;
error = x}
|> DrawErrorState
let doDraw2DParametricOperation services stateData =
match stateData with
| EvaluatedState2DParametric (xT, EvaluatedState yT) ->
let drawOpXt = (xT.evaluatedExpression,xT.drawingOptions)
let drawOpYt = (yT.evaluatedExpression,yT.drawingOptions)
let result = services.doDraw2DParametricOperation (drawOpXt, drawOpYt)
match result with
| Traces t -> DrawState2DParametric ({traceExpression = xT.evaluatedExpression; trace = t; drawingOptions = xT.drawingOptions; mesh = None},EvaluatedState yT)
| Mesh _m ->
{lastExpression = xT.evaluatedExpression;
error = UnexpectedModelType}
|> DrawErrorState
| DrawError x ->
{lastExpression = xT.evaluatedExpression;
error = x}
|> DrawErrorState
| EvaluatedState2DParametric (xT, ParentheticalState yT) ->
let newEvaluatedStateYt = {evaluatedExpression=yT.evaluatedExpression; pendingFunction = None; drawingOptions=yT.drawingOptions} |> EvaluatedState
let drawOpXt = (xT.evaluatedExpression,xT.drawingOptions)
let drawOpYt = (yT.evaluatedExpression,yT.drawingOptions)
let result = services.doDraw2DParametricOperation (drawOpXt, drawOpYt)
match result with
| Traces t -> DrawState2DParametric ({traceExpression = xT.evaluatedExpression; trace = t; drawingOptions = xT.drawingOptions; mesh = None},newEvaluatedStateYt)
| Mesh _m ->
{lastExpression = xT.evaluatedExpression;
error = UnexpectedModelType}
|> DrawErrorState
| DrawError x ->
{lastExpression = xT.evaluatedExpression;
error = x}
|> DrawErrorState
| EvaluatedState2DParametric (xT, ExpressionDigitAccumulatorState yT) ->
let newEvaluatedStateYt = {evaluatedExpression=yT.expression; pendingFunction = None; drawingOptions=yT.drawingOptions} |> EvaluatedState
let drawOpXt = (xT.evaluatedExpression,xT.drawingOptions)
let drawOpYt = (yT.expression,yT.drawingOptions)
let result = services.doDraw2DParametricOperation (drawOpXt, drawOpYt)
match result with
| Traces t -> DrawState2DParametric ({traceExpression = xT.evaluatedExpression; trace = t; drawingOptions = xT.drawingOptions; mesh = None},newEvaluatedStateYt)
| Mesh _m ->
{lastExpression = xT.evaluatedExpression;
error = UnexpectedModelType}
|> DrawErrorState
| DrawError x ->
{lastExpression = xT.evaluatedExpression;
error = x}
|> DrawErrorState
| EvaluatedState2DParametric (xT, ExpressionDecimalAccumulatorState yT) ->
let newEvaluatedStateYt = {evaluatedExpression=yT.expression; pendingFunction = None; drawingOptions=yT.drawingOptions} |> EvaluatedState
let drawOpXt = (xT.evaluatedExpression,xT.drawingOptions)
let drawOpYt = (yT.expression,yT.drawingOptions)
let result = services.doDraw2DParametricOperation (drawOpXt, drawOpYt)
match result with
| Traces t -> DrawState2DParametric ({traceExpression = xT.evaluatedExpression; trace = t; drawingOptions = xT.drawingOptions; mesh = None},newEvaluatedStateYt)
| Mesh _m ->
{lastExpression = xT.evaluatedExpression;
error = UnexpectedModelType}
|> DrawErrorState
| DrawError x ->
{lastExpression = xT.evaluatedExpression;
error = x}
|> DrawErrorState
| EvaluatedState2DParametric (xT, DrawState yT) ->
let newEvaluatedStateYt = {evaluatedExpression=yT.traceExpression; pendingFunction = None; drawingOptions=yT.drawingOptions} |> EvaluatedState
let drawOpXt = (xT.evaluatedExpression,xT.drawingOptions)
let drawOpYt = (yT.traceExpression,yT.drawingOptions)
let result = services.doDraw2DParametricOperation (drawOpXt, drawOpYt)
match result with
| Traces t -> DrawState2DParametric ({traceExpression = xT.evaluatedExpression; trace = t; drawingOptions = xT.drawingOptions; mesh = None},newEvaluatedStateYt)
| Mesh _m ->
{lastExpression = xT.evaluatedExpression;
error = UnexpectedModelType}
|> DrawErrorState
| DrawError x ->
{lastExpression = xT.evaluatedExpression;
error = x}
|> DrawErrorState
| ParentheticalState2DParametric (xT, EvaluatedState yT) ->
let drawOpXt = (xT.evaluatedExpression,xT.drawingOptions)
let drawOpYt = (yT.evaluatedExpression,yT.drawingOptions)
let result = services.doDraw2DParametricOperation (drawOpXt, drawOpYt)
match result with
| Traces t -> DrawState2DParametric ({traceExpression = xT.evaluatedExpression; trace = t; drawingOptions = xT.drawingOptions; mesh = None},EvaluatedState yT)
| Mesh _m ->
{lastExpression = xT.evaluatedExpression;
error = UnexpectedModelType}
|> DrawErrorState
| DrawError x ->
{lastExpression = xT.evaluatedExpression;
error = x}
|> DrawErrorState
| ParentheticalState2DParametric (xT, ParentheticalState yT) ->
let newEvaluatedStateYt = {evaluatedExpression=yT.evaluatedExpression; pendingFunction = None; drawingOptions=yT.drawingOptions} |> EvaluatedState
let drawOpXt = (xT.evaluatedExpression,xT.drawingOptions)
let drawOpYt = (yT.evaluatedExpression,yT.drawingOptions)
let result = services.doDraw2DParametricOperation (drawOpXt, drawOpYt)
match result with
| Traces t -> DrawState2DParametric ({traceExpression = xT.evaluatedExpression; trace = t; drawingOptions = xT.drawingOptions; mesh = None},newEvaluatedStateYt)
| Mesh _m ->
{lastExpression = xT.evaluatedExpression;
error = UnexpectedModelType}
|> DrawErrorState
| DrawError x ->
{lastExpression = xT.evaluatedExpression;
error = x}
|> DrawErrorState
| ParentheticalState2DParametric (xT, ExpressionDigitAccumulatorState yT) ->
let newEvaluatedStateYt = {evaluatedExpression=yT.expression; pendingFunction = None; drawingOptions=yT.drawingOptions} |> EvaluatedState
let drawOpXt = (xT.evaluatedExpression,xT.drawingOptions)
let drawOpYt = (yT.expression,yT.drawingOptions)
let result = services.doDraw2DParametricOperation (drawOpXt, drawOpYt)
match result with
| Traces t -> DrawState2DParametric ({traceExpression = xT.evaluatedExpression; trace = t; drawingOptions = xT.drawingOptions; mesh = None},newEvaluatedStateYt)
| Mesh _m ->
{lastExpression = xT.evaluatedExpression;
error = UnexpectedModelType}
|> DrawErrorState
| DrawError x ->
{lastExpression = xT.evaluatedExpression;
error = x}
|> DrawErrorState
| ParentheticalState2DParametric (xT, ExpressionDecimalAccumulatorState yT) ->
let newEvaluatedStateYt = {evaluatedExpression=yT.expression; pendingFunction = None; drawingOptions=yT.drawingOptions} |> EvaluatedState
let drawOpXt = (xT.evaluatedExpression,xT.drawingOptions)
let drawOpYt = (yT.expression,yT.drawingOptions)
let result = services.doDraw2DParametricOperation (drawOpXt, drawOpYt)
match result with
| Traces t -> DrawState2DParametric ({traceExpression = xT.evaluatedExpression; trace = t; drawingOptions = xT.drawingOptions; mesh = None},newEvaluatedStateYt)
| Mesh _m ->
{lastExpression = xT.evaluatedExpression;
error = UnexpectedModelType}
|> DrawErrorState
| DrawError x ->
{lastExpression = xT.evaluatedExpression;
error = x}
|> DrawErrorState
| ParentheticalState2DParametric (xT, DrawState yT) ->
let newEvaluatedStateYt = {evaluatedExpression=yT.traceExpression; pendingFunction = None; drawingOptions=yT.drawingOptions} |> EvaluatedState
let drawOpXt = (xT.evaluatedExpression,xT.drawingOptions)
let drawOpYt = (yT.traceExpression,yT.drawingOptions)
let result = services.doDraw2DParametricOperation (drawOpXt, drawOpYt)
match result with
| Traces t -> DrawState2DParametric ({traceExpression = xT.evaluatedExpression; trace = t; drawingOptions = xT.drawingOptions; mesh = None},newEvaluatedStateYt)
| Mesh _m ->
{lastExpression = xT.evaluatedExpression;
error = UnexpectedModelType}
|> DrawErrorState
| DrawError x ->
{lastExpression = xT.evaluatedExpression;
error = x}
|> DrawErrorState
| ExpressionDigitAccumulatorState2DParametric (xT, EvaluatedState yT) ->
let drawOpXt = (xT.expression,xT.drawingOptions)
let drawOpYt = (yT.evaluatedExpression,yT.drawingOptions)
let result = services.doDraw2DParametricOperation (drawOpXt, drawOpYt)
match result with
| Traces t ->
DrawState2DParametric ({traceExpression = xT.expression; trace = t; drawingOptions = xT.drawingOptions; mesh = None},EvaluatedState yT)
| Mesh _m ->
{lastExpression = xT.expression;
error = UnexpectedModelType}
|> DrawErrorState
| DrawError x ->
{lastExpression = xT.expression;
error = x}
|> DrawErrorState
| ExpressionDigitAccumulatorState2DParametric (xT, ParentheticalState yT) ->
let newEvaluatedStateYt = {evaluatedExpression=yT.evaluatedExpression; pendingFunction = None; drawingOptions=yT.drawingOptions} |> EvaluatedState
let drawOpXt = (xT.expression,xT.drawingOptions)
let drawOpYt = (yT.evaluatedExpression,yT.drawingOptions)
let result = services.doDraw2DParametricOperation (drawOpXt, drawOpYt)
match result with
| Traces t -> DrawState2DParametric ({traceExpression = xT.expression; trace = t; drawingOptions = xT.drawingOptions; mesh = None},newEvaluatedStateYt)
| Mesh _m ->
{lastExpression = xT.expression;
error = UnexpectedModelType}
|> DrawErrorState
| DrawError x ->
{lastExpression = xT.expression;
error = x}
|> DrawErrorState
| ExpressionDigitAccumulatorState2DParametric (xT, ExpressionDigitAccumulatorState yT) ->
let newEvaluatedStateYt = {evaluatedExpression=yT.expression; pendingFunction = None; drawingOptions=yT.drawingOptions} |> EvaluatedState
let drawOpXt = (xT.expression,xT.drawingOptions)
let drawOpYt = (yT.expression,yT.drawingOptions)
let result = services.doDraw2DParametricOperation (drawOpXt, drawOpYt)
match result with
| Traces t ->
DrawState2DParametric ({traceExpression = xT.expression; trace = t; drawingOptions = xT.drawingOptions; mesh = None},newEvaluatedStateYt)
| Mesh _m ->
{lastExpression = xT.expression;
error = UnexpectedModelType}
|> DrawErrorState
| DrawError x ->
{lastExpression = xT.expression;
error = x}
|> DrawErrorState
| ExpressionDigitAccumulatorState2DParametric (xT, ExpressionDecimalAccumulatorState yT) ->
let newEvaluatedStateYt = {evaluatedExpression=yT.expression; pendingFunction = None; drawingOptions=yT.drawingOptions} |> EvaluatedState
let drawOpXt = (xT.expression,xT.drawingOptions)
let drawOpYt = (yT.expression,yT.drawingOptions)
let result = services.doDraw2DParametricOperation (drawOpXt, drawOpYt)
match result with
| Traces t -> DrawState2DParametric ({traceExpression = xT.expression; trace = t; drawingOptions = xT.drawingOptions; mesh = None},newEvaluatedStateYt)
| Mesh _m ->
{lastExpression = xT.expression;
error = UnexpectedModelType}
|> DrawErrorState
| DrawError x ->
{lastExpression = xT.expression;
error = x}
|> DrawErrorState
| ExpressionDigitAccumulatorState2DParametric (xT, DrawState yT) ->
let newEvaluatedStateYt = {evaluatedExpression=yT.traceExpression; pendingFunction = None; drawingOptions=yT.drawingOptions} |> EvaluatedState
let drawOpXt = (xT.expression,xT.drawingOptions)
let drawOpYt = (yT.traceExpression,yT.drawingOptions)
let result = services.doDraw2DParametricOperation (drawOpXt, drawOpYt)
match result with
| Traces t -> DrawState2DParametric ({traceExpression = xT.expression; trace = t; drawingOptions = xT.drawingOptions; mesh = None},newEvaluatedStateYt)
| Mesh _m ->
{lastExpression = xT.expression;
error = UnexpectedModelType}
|> DrawErrorState
| DrawError x ->
{lastExpression = xT.expression;
error = x}
|> DrawErrorState
| ExpressionDecimalAccumulatorState2DParametric (xT, EvaluatedState yT) ->
let drawOpXt = (xT.expression,xT.drawingOptions)
let drawOpYt = (yT.evaluatedExpression,yT.drawingOptions)
let result = services.doDraw2DParametricOperation (drawOpXt, drawOpYt)
match result with
| Traces t -> DrawState2DParametric ({traceExpression = xT.expression; trace = t; drawingOptions = xT.drawingOptions; mesh = None},EvaluatedState yT)
| Mesh _m ->
{lastExpression = xT.expression;
error = UnexpectedModelType}
|> DrawErrorState
| DrawError x ->
{lastExpression = xT.expression;
error = x}
|> DrawErrorState
| ExpressionDecimalAccumulatorState2DParametric (xT, ParentheticalState yT) ->
let newEvaluatedStateYt = {evaluatedExpression=yT.evaluatedExpression; pendingFunction = None; drawingOptions=yT.drawingOptions} |> EvaluatedState
let drawOpXt = (xT.expression,xT.drawingOptions)
let drawOpYt = (yT.evaluatedExpression,yT.drawingOptions)
let result = services.doDraw2DParametricOperation (drawOpXt, drawOpYt)
match result with
| Traces t -> DrawState2DParametric ({traceExpression = xT.expression; trace = t; drawingOptions = xT.drawingOptions; mesh = None},newEvaluatedStateYt)
| Mesh _m ->
{lastExpression = xT.expression;
error = UnexpectedModelType}
|> DrawErrorState
| DrawError x ->
{lastExpression = xT.expression;
error = x}
|> DrawErrorState
| ExpressionDecimalAccumulatorState2DParametric (xT, ExpressionDigitAccumulatorState yT) ->
let newEvaluatedStateYt = {evaluatedExpression=yT.expression; pendingFunction = None; drawingOptions=yT.drawingOptions} |> EvaluatedState
let drawOpXt = (xT.expression,xT.drawingOptions)
let drawOpYt = (yT.expression,yT.drawingOptions)
let result = services.doDraw2DParametricOperation (drawOpXt, drawOpYt)
match result with
| Traces t -> DrawState2DParametric ({traceExpression = xT.expression; trace = t; drawingOptions = xT.drawingOptions; mesh = None},newEvaluatedStateYt)
| Mesh _m ->
{lastExpression = xT.expression;
error = UnexpectedModelType}
|> DrawErrorState
| DrawError x ->
{lastExpression = xT.expression;
error = x}
|> DrawErrorState
| ExpressionDecimalAccumulatorState2DParametric (xT, ExpressionDecimalAccumulatorState yT) ->
let newEvaluatedStateYt = {evaluatedExpression=yT.expression; pendingFunction = None; drawingOptions=yT.drawingOptions} |> EvaluatedState
let drawOpXt = (xT.expression,xT.drawingOptions)
let drawOpYt = (yT.expression,yT.drawingOptions)
let result = services.doDraw2DParametricOperation (drawOpXt, drawOpYt)
match result with
| Traces t -> DrawState2DParametric ({traceExpression = xT.expression; trace = t; drawingOptions = xT.drawingOptions; mesh = None},newEvaluatedStateYt)
| Mesh _m ->
{lastExpression = xT.expression;
error = UnexpectedModelType}
|> DrawErrorState
| DrawError x ->
{lastExpression = xT.expression;
error = x}
|> DrawErrorState
| ExpressionDecimalAccumulatorState2DParametric (xT, DrawState yT) ->
let newEvaluatedStateYt = {evaluatedExpression=yT.traceExpression; pendingFunction = None; drawingOptions=yT.drawingOptions} |> EvaluatedState
let drawOpXt = (xT.expression,xT.drawingOptions)
let drawOpYt = (yT.traceExpression,yT.drawingOptions)
let result = services.doDraw2DParametricOperation (drawOpXt, drawOpYt)
match result with
| Traces t -> DrawState2DParametric ({traceExpression = xT.expression; trace = t; drawingOptions = xT.drawingOptions; mesh = None},newEvaluatedStateYt)
| Mesh _m ->
{lastExpression = xT.expression;
error = UnexpectedModelType}
|> DrawErrorState
| DrawError x ->
{lastExpression = xT.expression;
error = x}
|> DrawErrorState
| DrawState2DParametric (xT, EvaluatedState yT) ->
let drawOpXt = (xT.traceExpression,xT.drawingOptions)
let drawOpYt = (yT.evaluatedExpression,yT.drawingOptions)
let result = services.doDraw2DParametricOperation (drawOpXt, drawOpYt)
match result with
| Traces t -> DrawState2DParametric ({traceExpression = xT.traceExpression; trace = t; drawingOptions = xT.drawingOptions; mesh = None},EvaluatedState yT)
| Mesh _m ->
{lastExpression = xT.traceExpression;
error = UnexpectedModelType}
|> DrawErrorState
| DrawError x ->
{lastExpression = xT.traceExpression;
error = x}
|> DrawErrorState
| DrawState2DParametric (xT, ParentheticalState yT) ->
let newEvaluatedStateYt = {evaluatedExpression=yT.evaluatedExpression; pendingFunction = None; drawingOptions=yT.drawingOptions} |> EvaluatedState
let drawOpXt = (xT.traceExpression,xT.drawingOptions)
let drawOpYt = (yT.evaluatedExpression,yT.drawingOptions)
let result = services.doDraw2DParametricOperation (drawOpXt, drawOpYt)
match result with
| Traces t -> DrawState2DParametric ({traceExpression = xT.traceExpression; trace = t; drawingOptions = xT.drawingOptions; mesh = None},newEvaluatedStateYt)
| Mesh _m ->
{lastExpression = xT.traceExpression;
error = UnexpectedModelType}
|> DrawErrorState
| DrawError x ->
{lastExpression = xT.traceExpression;
error = x}
|> DrawErrorState
| DrawState2DParametric (xT, ExpressionDigitAccumulatorState yT) ->
let newEvaluatedStateYt = {evaluatedExpression=yT.expression; pendingFunction = None; drawingOptions=yT.drawingOptions} |> EvaluatedState
let drawOpXt = (xT.traceExpression,xT.drawingOptions)
let drawOpYt = (yT.expression,yT.drawingOptions)
let result = services.doDraw2DParametricOperation (drawOpXt, drawOpYt)
match result with
| Traces t -> DrawState2DParametric ({traceExpression = xT.traceExpression; trace = t; drawingOptions = xT.drawingOptions; mesh = None},newEvaluatedStateYt)
| Mesh _m ->
{lastExpression = xT.traceExpression;
error = UnexpectedModelType}
|> DrawErrorState
| DrawError x ->
{lastExpression = xT.traceExpression;
error = x}
|> DrawErrorState
| DrawState2DParametric (xT, ExpressionDecimalAccumulatorState yT) ->
let newEvaluatedStateYt = {evaluatedExpression=yT.expression; pendingFunction = None; drawingOptions=yT.drawingOptions} |> EvaluatedState
let drawOpXt = (xT.traceExpression,xT.drawingOptions)
let drawOpYt = (yT.expression,yT.drawingOptions)
let result = services.doDraw2DParametricOperation (drawOpXt, drawOpYt)
match result with
| Traces t -> DrawState2DParametric ({traceExpression = xT.traceExpression; trace = t; drawingOptions = xT.drawingOptions; mesh = None},newEvaluatedStateYt)
| Mesh _m ->
{lastExpression = xT.traceExpression;
error = UnexpectedModelType}
|> DrawErrorState
| DrawError x ->
{lastExpression = xT.traceExpression;
error = x}
|> DrawErrorState
| DrawState2DParametric (xT, DrawState yT) ->
let newEvaluatedStateYt = {evaluatedExpression=yT.traceExpression; pendingFunction = None; drawingOptions=yT.drawingOptions} |> EvaluatedState
let drawOpXt = (xT.traceExpression,xT.drawingOptions)
let drawOpYt = (yT.traceExpression,yT.drawingOptions)
let result = services.doDraw2DParametricOperation (drawOpXt, drawOpYt)
match result with
| Traces t -> DrawState2DParametric ({traceExpression = xT.traceExpression; trace = t; drawingOptions = xT.drawingOptions; mesh = None},newEvaluatedStateYt)
| Mesh _m ->
{lastExpression = xT.traceExpression;
error = UnexpectedModelType}
|> DrawErrorState
| DrawError x ->
{lastExpression = xT.traceExpression;
error = x}
|> DrawErrorState
| _ -> {lastExpression = Expression.Zero; error = FailedToCreateTrace} |> DrawErrorState
let doDraw3DParametricOperation services stateData =
match stateData with
| EvaluatedState3DParametric (sd, d3d) ->
let drawOp = (d3d,services.getDrawingOptionsFromState stateData)
let result = services.doDraw3DParametricOperation drawOp
match result with
| Mesh m -> DrawState3DParametric ({traceExpression = sd.evaluatedExpression; trace = []; drawingOptions = sd.drawingOptions; mesh = Some m},d3d)
| Traces _t ->
{lastExpression = sd.evaluatedExpression;
error = UnexpectedModelType}
|> DrawErrorState
| DrawError x ->
{lastExpression = sd.evaluatedExpression;
error = x}
|> DrawErrorState
| ParentheticalState3DParametric (sd, d3d) ->
let drawOp = (d3d,services.getDrawingOptionsFromState ( ParentheticalState sd))
let result = services.doDraw3DParametricOperation drawOp
match result with
| Mesh m -> DrawState3DParametric ({traceExpression = sd.evaluatedExpression; trace = []; drawingOptions = sd.drawingOptions; mesh = Some m},d3d)
| Traces _t ->
{lastExpression = sd.evaluatedExpression;
error = UnexpectedModelType}
|> DrawErrorState
| DrawError x ->
{lastExpression = sd.evaluatedExpression;
error = x}
|> DrawErrorState
| ExpressionDigitAccumulatorState3DParametric (sd, d3d) ->
let drawOp = (d3d,services.getDrawingOptionsFromState ( ExpressionDigitAccumulatorState sd))
let result = services.doDraw3DParametricOperation drawOp
match result with
| Mesh m -> DrawState3DParametric ({traceExpression = sd.expression; trace = []; drawingOptions = sd.drawingOptions; mesh = Some m},d3d)
| Traces _t ->
{lastExpression = sd.expression;
error = UnexpectedModelType}
|> DrawErrorState
| DrawError x ->
{lastExpression = sd.expression;
error = x}
|> DrawErrorState
| ExpressionDecimalAccumulatorState3DParametric (sd, d3d) ->
let drawOp = (d3d,services.getDrawingOptionsFromState ( ExpressionDecimalAccumulatorState sd))
let result = services.doDraw3DParametricOperation drawOp
match result with
| Mesh m -> DrawState3DParametric ({traceExpression = sd.expression; trace = []; drawingOptions = sd.drawingOptions; mesh = Some m},d3d)
| Traces _t ->
{lastExpression = sd.expression;
error = UnexpectedModelType}
|> DrawErrorState
| DrawError x ->
{lastExpression = sd.expression;
error = x}
|> DrawErrorState
| DrawState3DParametric (sd, d3d) ->
let drawOp = (d3d,services.getDrawingOptionsFromState stateData)
let result = services.doDraw3DParametricOperation drawOp
match result with
| Mesh m -> DrawState3DParametric ({traceExpression = sd.traceExpression; trace = []; drawingOptions = sd.drawingOptions; mesh = Some m},d3d)
| Traces _t ->
{lastExpression = sd.traceExpression;
error = UnexpectedModelType}
|> DrawErrorState
| DrawError x ->
{lastExpression = sd.traceExpression;
error = x}
|> DrawErrorState
| _ -> {lastExpression = Expression.Zero; error = FailedToCreateTrace} |> DrawErrorState
let doExpressionOperation services stateData = services.doExpressionOperation stateData
let replacePendingFunction (evaluatedStateData:EvaluatedStateData) nextFun =
let newPending = maybe {
let! expression, _existingFunc = evaluatedStateData.pendingFunction
let! next = nextFun
return expression,next }
match newPending, nextFun with
| Some _, _ -> {evaluatedStateData with pendingFunction = newPending}
| None, Some func -> {evaluatedStateData with pendingFunction = Some (evaluatedStateData.evaluatedExpression,func)}
| _ -> evaluatedStateData
|> EvaluatedState
let replacePendingFunctionParenthetical (evaluatedStateData:ParentheticalStateData) nextFun =
let newPending = maybe {
let! expression, _existingFunc = evaluatedStateData.pendingFunction
let! next = nextFun
return expression,next }
match newPending, nextFun with
| Some _, _ -> {evaluatedStateData with pendingFunction = newPending}
| None, Some func -> {evaluatedStateData with pendingFunction = Some (evaluatedStateData.evaluatedExpression,func)}
| _ -> evaluatedStateData
|> ParentheticalState
let spiral_ExampleState =
let xT = NaryOp (Product,[UnaryOp (Sin,Expression.Symbol (Variable "t")); Expression.Symbol (Variable "t")])
let yT = NaryOp (Product,[UnaryOp (Cos,Expression.Symbol (Variable "t")); Expression.Symbol (Variable "t")])
let options = {defaultOptions with
upperT = T (Real (10.*System.Math.PI))
lowerT = T (Real 0.0)}
({ evaluatedExpression = xT
pendingFunction = None;
drawingOptions = options},
EvaluatedState
{ evaluatedExpression = yT
pendingFunction = None;
drawingOptions = options }) |> EvaluatedState2DParametric
let ellipse_ExampleState =
let xT = NaryOp (Product,[UnaryOp (Sin,Expression.Symbol (Variable "t")); Expression.Number (Real 20.0)])
let yT = NaryOp (Product,[UnaryOp (Cos,Expression.Symbol (Variable "t")); Expression.Number (Real 40.0)])
let options = {defaultOptions with
upperT = T (Real 31.415926535897932384626433832795)
lowerT = T (Real 0.0)}
({ evaluatedExpression = xT
pendingFunction = None;
drawingOptions = options},
EvaluatedState
{ evaluatedExpression = yT
pendingFunction = None;
drawingOptions = options }) |> EvaluatedState2DParametric
let helix_ExampleState =
let xT = UnaryOp (Sin,Expression.Symbol (Variable "t"))
let yT = UnaryOp (Cos,Expression.Symbol (Variable "t"))
let zT = NaryOp (Product,[Number(Real -1.0);Expression.Symbol (Variable "t")])
let options = {defaultOptions with
upperT = T (Real 25.0)
lowerT = T (Real 0.0)
Tstep = Tstep (Real 0.1)}
({ evaluatedExpression = xT
pendingFunction = None;
drawingOptions = options},
{x = xT; y = yT; z = zT;activeExpression = X_}) |> EvaluatedState3DParametric
let sphere_ExampleState =
let xUV = (UnaryOp (Cos,Expression.Symbol (Variable "u"))) * (UnaryOp (Sin,Expression.Symbol (Variable "v")))
let yUV = (UnaryOp (Cos,Expression.Symbol (Variable "v"))) * Number (Real -1.)
let zUV = (UnaryOp (Sin,Expression.Symbol (Variable "u") * Number (Real -1.))) * (UnaryOp (Sin,Expression.Symbol (Variable "v")))
let options = {defaultOptions with
upperU = U (Real (2.0 * System.Math.PI))
lowerU = U (Real 0.0)
uStep = Ustep (Real (0.05 * System.Math.PI))
upperV = V (Real (2.0 * System.Math.PI))
lowerV = V (Real 0.0)
vStep = Vstep (Real (0.05 * System.Math.PI))}
({ evaluatedExpression = xUV
pendingFunction = None;
drawingOptions = options},
{x = xUV; y = yUV; z = zUV;activeExpression = X_}) |> EvaluatedState3DParametric
let torus_ExampleState =
let xUV = (UnaryOp (Sin,Expression.Symbol (Variable "v")))
let yUV = (Number (Real 2.) + UnaryOp (Cos,Expression.Symbol (Variable "v"))) * (UnaryOp (Sin,Expression.Symbol (Variable "u")))
let zUV = (Number (Real 2.) + UnaryOp (Cos,Expression.Symbol (Variable "v"))) * (UnaryOp (Cos,Expression.Symbol (Variable "u")))
let options = {defaultOptions with
upperU = U (Real (2.0 * System.Math.PI))
lowerU = U (Real 0.0)
uStep = Ustep (Real (0.05 * System.Math.PI))
upperV = V (Real (2.0 * System.Math.PI))
lowerV = V (Real 0.0)
vStep = Vstep (Real (0.05 * System.Math.PI))}
({ evaluatedExpression = xUV
pendingFunction = None;
drawingOptions = options},
{x = xUV; y = yUV; z = zUV;activeExpression = X_}) |> EvaluatedState3DParametric
let cone_ExampleState =
let xUV = Number (Real 0.6) * (Number (Real 1.5) - Expression.Symbol (Variable "v")) * (UnaryOp (Cos,Expression.Symbol (Variable "u")))
let yUV = Expression.Symbol (Variable "v")
let zUV = Number (Real 0.6) * (Number (Real 1.5) - Expression.Symbol (Variable "v")) * (UnaryOp (Sin,Expression.Symbol (Variable "u")* (Number (Real -1.))))
let options = {defaultOptions with
upperU = U (Real (System.Math.PI))
lowerU = U (Real (-System.Math.PI))
uStep = Ustep (Real (0.05 * System.Math.PI))
upperV = V (Real (System.Math.PI))
lowerV = V (Real (-System.Math.PI))
vStep = Vstep (Real (0.05 * System.Math.PI))}
({ evaluatedExpression = xUV
pendingFunction = None;
drawingOptions = options},
{x = xUV; y = yUV; z = zUV;activeExpression = X_}) |> EvaluatedState3DParametric
let handleDrawState services stateData input = //Only the'Back' function implemented here.
let options = services.getDrawingOptionsFromState (DrawState stateData)
let expr = stateData.traceExpression
let newEvaluatedStateData =
{evaluatedExpression=expr;
pendingFunction=None;
drawingOptions = options }
match input with
| CalcInput op ->
match op with
| MathOp m -> DrawState stateData
| CalculatorInput.Zero -> DrawState stateData
| DecimalSeparator -> DrawState stateData
| CalculatorInput.Equals -> DrawState stateData
| ClearEntry
| Clear
| MemoryRecall
| MemoryClear
| MemoryStore
| CalculatorInput.Equals
| Back ->
newEvaluatedStateData
|> EvaluatedState
| Digit d -> DrawState stateData
| GraphOptionSave options -> services.setDrawingOptions (DrawState stateData,options)
| GraphOptionReset -> services.setDrawingOptions (DrawState stateData,defaultOptions)
| Stack _input -> DrawState stateData
| ExpressionInput _input -> DrawState stateData
| Draw
| Draw2DParametric
| Draw3DParametric -> DrawState stateData
| OpenParentheses
| CloseParentheses
| ExpressionSquared
| ExpressionToThePowerOf -> DrawState stateData
| SpiralExample -> spiral_ExampleState
| EllipseExample -> ellipse_ExampleState
| HelixExample -> helix_ExampleState
| SphereExample -> sphere_ExampleState
| ConeExample -> cone_ExampleState
| TorusExample -> torus_ExampleState
let handleEvaluatedState services stateData input =
let options = services.getDrawingOptionsFromState (EvaluatedState stateData)
let zero = Number (Integer 0I)
let expr = stateData.evaluatedExpression
let newExpressionStateData =
{expression = expr;
pendingFunction = stateData.pendingFunction;
digits = "";
drawingOptions = options;
parenthetical = None}
match input with
| Stack _ -> EvaluatedState stateData
| CalcInput op ->
match op with
| MathOp m ->
match m with
| Add -> replacePendingFunction stateData (Some Plus)
| Subtract -> replacePendingFunction stateData (Some Minus)
| Multiply -> replacePendingFunction stateData (Some Times)
| Divide -> replacePendingFunction stateData (Some DividedBy)
| CalculatorMathOp.Inverse ->
let nextOp = None//Some op
let newState =
getEvaluationState services
{ expression = expr;
pendingFunction = Some (expr,Inverse);
digits = "1";
drawingOptions = options;
parenthetical = None
} nextOp
let finalState =
match stateData.pendingFunction = None with
| true -> newState
| false ->
match newState with
| EvaluatedState ev ->
ExpressionDigitAccumulatorState
{ digits = "";
pendingFunction = stateData.pendingFunction;
expression=ev.evaluatedExpression;
drawingOptions = options;
parenthetical = None}
| ParentheticalState p ->
ExpressionDigitAccumulatorState
{ digits = "";