This repository was archived by the owner on Jan 7, 2023. It is now read-only.
-
Notifications
You must be signed in to change notification settings - Fork 0
/
Copy pathSpaceship_And_Asteroids.mch
396 lines (350 loc) · 12.2 KB
/
Spaceship_And_Asteroids.mch
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
/* Spaceship_And_Asteroids
* Author: Arnold Anthonypillai
* Creation date: 06/11/2018
*/
MACHINE
Spaceship_And_Asteroids
SETS
NAVIGATION =
{
moveUp,
moveDown,
moveForward,
moveBackward
} ;
STATUS =
{
Game_WON,
Game_LOST,
Game_Not_Over
} ;
REPORT =
{
MOVE_UP_SUCCESS,
MOVE_DOWN_SUCCESS,
MOVE_FORWARD_SUCCESS,
MOVE_BACKWARD_SUCCESS,
CANNOT_MOVE__OUT_OF_SPACE_BOUNDARY,
CANNOT_MOVE__REGION_OCCUPIED_BY_AN_ASTEROID,
CANNOT_MOVE__NOT_ENOUGH_POWER_AVAILABLE,
SPACESHIP_DOCKED,
SPACESHIP_NOT_DOCKED,
WARP_DRIVE_SUCCESS,
CANNOT_ENGAGE_WARP_DRIVE__REGION_OCCUPIED_BY_AN_ASTEROID,
CANNOT_ENGAGE_WARP_DRIVE__NOT_ENOUGH_POWER_AVAILABLE
}
CONSTANTS
grid,
grid_x_axis,
grid_y_axis,
grid_x_axis_begin,
grid_x_axis_end,
grid_y_axis_begin,
grid_y_axis_end,
homebase,
starbase,
asteroidsPos,
navPower,
warpDrivePower,
asteroidCrashedPower
PROPERTIES
grid_x_axis <: NAT1 & grid_x_axis = 1..12
&
grid_y_axis <: NAT1 & grid_y_axis = 1..7
&
grid : NAT1 <-> NAT1 & grid = grid_x_axis * grid_y_axis
&
grid_x_axis_begin : NAT1 <-> NAT1 & grid_x_axis_begin = { 1 } <| grid
&
grid_x_axis_end : NAT1 <-> NAT1 & grid_x_axis_end = { 12 } <| grid
&
grid_y_axis_begin : NAT1 <-> NAT1 & grid_y_axis_begin = grid |> { 1 }
&
grid_y_axis_end : NAT1 <-> NAT1 & grid_y_axis_end = grid |> { 7 }
&
homebase : NAT1 <-> NAT1 & homebase = { 1 |-> 1 }
&
starbase : NAT1 <-> NAT1 & starbase = { 6 |-> 4 }
&
asteroidsPos : NAT1 <-> NAT1 & asteroidsPos =
{
( 3 |-> 2 ),
( 3 |-> 5 ),
( 5 |-> 4 ),
( 6 |-> 7),
( 7 |-> 1 ),
( 7 |-> 5),
( 7 |-> 7 ),
( 8 |-> 3 ),
( 10 |-> 6 ),
( 11 |-> 2 ),
( 12 |-> 5 )
}
&
navPower : NAT1 & navPower = 5
&
warpDrivePower : NAT1 & warpDrivePower = 20
&
asteroidCrashedPower : NAT1 & asteroidCrashedPower = 10
VARIABLES
x_axis_pos,
y_axis_pos,
spaceshipPower,
spaceshipPath,
numberOfCrashes
INVARIANT
x_axis_pos : NAT1 & x_axis_pos : grid_x_axis
&
y_axis_pos : NAT1 & y_axis_pos : grid_y_axis
&
spaceshipPower : NAT
&
spaceshipPath : seq(NAT1 * NAT1)
&
numberOfCrashes : NAT
INITIALISATION
x_axis_pos := 1 ||
y_axis_pos := 1 ||
spaceshipPower := 100 ||
spaceshipPath := [] ||
numberOfCrashes := 0
OPERATIONS
report <-- spaceshipNavigation ( direction ) =
PRE direction : NAVIGATION
THEN
//Move Up
IF (direction = moveUp)
THEN
IF (
spaceshipPower >= navPower //has enough power to make the move
&
(x_axis_pos |-> y_axis_pos) /: grid_y_axis_end //Not at the end of the grid
&
(x_axis_pos |-> y_axis_pos + 1) /: asteroidsPos //New position is not occupied by an asteroid
)
THEN
y_axis_pos := y_axis_pos + 1
||
spaceshipPower := spaceshipPower - navPower
||
spaceshipPath := spaceshipPath <- ( x_axis_pos |-> y_axis_pos )
||
report := MOVE_UP_SUCCESS
ELSIF (
spaceshipPower < navPower
or
(x_axis_pos |-> y_axis_pos) : grid_y_axis_end
or
(x_axis_pos |-> y_axis_pos + 1) : asteroidsPos
)
THEN
IF ( spaceshipPower < navPower )
THEN
report:= CANNOT_MOVE__NOT_ENOUGH_POWER_AVAILABLE
ELSIF (x_axis_pos |-> y_axis_pos) : grid_y_axis_end
THEN
report := CANNOT_MOVE__OUT_OF_SPACE_BOUNDARY
ELSIF ( (x_axis_pos |-> y_axis_pos + 1) : asteroidsPos )
THEN
report := CANNOT_MOVE__REGION_OCCUPIED_BY_AN_ASTEROID
||
numberOfCrashes := numberOfCrashes + 1
||
spaceshipPower := spaceshipPower - warpDrivePower
END
END
//Move Down
ELSIF (direction = moveDown)
THEN
IF (
spaceshipPower >= navPower
&
(x_axis_pos |-> y_axis_pos) /: grid_y_axis_begin
&
(x_axis_pos |-> y_axis_pos - 1) /: asteroidsPos
)
THEN
y_axis_pos := y_axis_pos - 1
||
spaceshipPower := spaceshipPower - navPower
||
spaceshipPath := spaceshipPath <- ( x_axis_pos |-> y_axis_pos )
||
report := MOVE_DOWN_SUCCESS
ELSIF (
spaceshipPower < navPower
or
(x_axis_pos |-> y_axis_pos) : grid_y_axis_begin
or
(x_axis_pos |-> y_axis_pos - 1) : asteroidsPos
)
THEN
IF ( spaceshipPower < navPower )
THEN
report:= CANNOT_MOVE__NOT_ENOUGH_POWER_AVAILABLE
ELSIF ( (x_axis_pos |-> y_axis_pos) : grid_y_axis_begin )
THEN
report := CANNOT_MOVE__OUT_OF_SPACE_BOUNDARY
ELSIF ( (x_axis_pos |-> y_axis_pos - 1) : asteroidsPos )
THEN
report := CANNOT_MOVE__REGION_OCCUPIED_BY_AN_ASTEROID
||
numberOfCrashes := numberOfCrashes
||
spaceshipPower := spaceshipPower - warpDrivePower
END
END
//Move Right(Forward)
ELSIF (direction = moveForward)
THEN
IF (
spaceshipPower >= navPower
&
( x_axis_pos |-> y_axis_pos ) /: grid_x_axis_end
&
( x_axis_pos + 1 |-> y_axis_pos ) /: asteroidsPos
)
THEN
x_axis_pos := x_axis_pos + 1
||
spaceshipPower := spaceshipPower - navPower
||
spaceshipPath := spaceshipPath <- ( x_axis_pos |-> y_axis_pos )
||
report := MOVE_FORWARD_SUCCESS
ELSIF (
spaceshipPower < navPower
or
(x_axis_pos |-> y_axis_pos) : grid_x_axis_end
or
(x_axis_pos + 1 |-> y_axis_pos) : asteroidsPos
)
THEN
IF ( spaceshipPower < navPower )
THEN
report:= CANNOT_MOVE__NOT_ENOUGH_POWER_AVAILABLE
ELSIF ( (x_axis_pos |-> y_axis_pos) : grid_x_axis_end )
THEN
report := CANNOT_MOVE__OUT_OF_SPACE_BOUNDARY
ELSIF ( (x_axis_pos + 1 |-> y_axis_pos) : asteroidsPos )
THEN
report := CANNOT_MOVE__REGION_OCCUPIED_BY_AN_ASTEROID
||
numberOfCrashes := numberOfCrashes
||
spaceshipPower := spaceshipPower - warpDrivePower
END
END
//Move Left(Backward)
ELSIF (direction = moveBackward)
THEN
IF (
spaceshipPower >= navPower
&
(x_axis_pos |-> y_axis_pos) /: grid_x_axis_begin
&
(x_axis_pos - 1 |-> y_axis_pos) /: asteroidsPos
)
THEN
x_axis_pos := x_axis_pos - 1
||
spaceshipPower := spaceshipPower - navPower
||
spaceshipPath := spaceshipPath <- ( x_axis_pos |-> y_axis_pos )
||
report := MOVE_BACKWARD_SUCCESS
ELSIF (
spaceshipPower < navPower
or
(x_axis_pos |-> y_axis_pos) : grid_x_axis_begin
or
(x_axis_pos - 1 |-> y_axis_pos) : asteroidsPos
)
THEN
IF ( spaceshipPower < navPower )
THEN
report:= CANNOT_MOVE__NOT_ENOUGH_POWER_AVAILABLE
ELSIF ( (x_axis_pos |-> y_axis_pos) : grid_x_axis_begin )
THEN
report := CANNOT_MOVE__OUT_OF_SPACE_BOUNDARY
ELSIF ( (x_axis_pos - 1 |-> y_axis_pos) : asteroidsPos )
THEN
report := CANNOT_MOVE__REGION_OCCUPIED_BY_AN_ASTEROID
||
numberOfCrashes := numberOfCrashes
||
spaceshipPower := spaceshipPower - warpDrivePower
END
END
END
END ;
//Warp-drive
report <-- engageWarpDrive( new_x_axis, new_y_axis ) =
PRE new_x_axis |-> new_y_axis : grid
THEN
IF
(
spaceshipPower >= warpDrivePower
&
new_x_axis |-> new_y_axis /: asteroidsPos
)
THEN
x_axis_pos := new_x_axis
||
y_axis_pos := new_y_axis
||
spaceshipPower := spaceshipPower - warpDrivePower
||
spaceshipPath := spaceshipPath <- ( x_axis_pos |-> y_axis_pos )
||
report := WARP_DRIVE_SUCCESS
ELSIF
(
spaceshipPower < warpDrivePower
or
new_x_axis |-> new_y_axis : asteroidsPos
)
THEN
IF ( spaceshipPower < warpDrivePower )
THEN
report := CANNOT_ENGAGE_WARP_DRIVE__NOT_ENOUGH_POWER_AVAILABLE
ELSIF ( new_x_axis |-> new_y_axis : asteroidsPos )
THEN
report := CANNOT_ENGAGE_WARP_DRIVE__REGION_OCCUPIED_BY_AN_ASTEROID
||
numberOfCrashes := numberOfCrashes
||
spaceshipPower := spaceshipPower - warpDrivePower
END
END
END ;
//Spaceship current position
pos <-- getCurrentPos =
BEGIN
pos := x_axis_pos |-> y_axis_pos
END ;
//Mission route
route <-- missionRoute =
BEGIN
route := spaceshipPath
END ;
//Mission status
currentLocation, currentPower, asteroidCrashes <-- missionStatus =
BEGIN
currentLocation := (x_axis_pos |-> y_axis_pos)
||
currentPower := spaceshipPower
||
asteroidCrashes := numberOfCrashes
END ;
//Spaceship docked?
report <-- dockedAtStarbase =
BEGIN
IF ( x_axis_pos |-> y_axis_pos : starbase )
THEN
report := SPACESHIP_DOCKED
ELSE
report := SPACESHIP_NOT_DOCKED
END
END
END