about summary refs log tree commit diff stats
path: root/314divide.subx
Commit message (Expand)AuthorAgeFilesLines
* 7290Kartik Agaram2020-11-271-0/+17
Kartik K. Agaram <vc@akkartik.com> 2015-04-17 11:22:59 -0700 1077' href='/akkartik/mu/commit/cpp/021arithmetic?h=hlt&id=2199940af170456929a3c4fe4d07d25afea6ae55'>2199940a ^
1848b18f ^
1848b18f ^
42b31beb ^
795f5244 ^
e236973b ^
a0d7a155 ^
4e49b29e ^
b24eb476 ^
a0d7a155 ^
9dcbec39 ^
a0d7a155 ^



8d72e565 ^
a0d7a155 ^

5fdd8e96 ^
9dcbec39 ^
a0d7a155 ^



8d7839b9 ^
42b31beb ^
fca0ebbe ^
b24eb476 ^
827898fc ^
0487a30e ^

827898fc ^
42b31beb ^

8d7839b9 ^
88be3dbc ^
1ead3562 ^
bc643692 ^
8d7839b9 ^
57699011 ^
8d7839b9 ^
88be3dbc ^
1ead3562 ^
bc643692 ^

5497090a ^
8d7839b9 ^
57699011 ^
8d7839b9 ^
0487a30e ^
1ead3562 ^
bc643692 ^
0487a30e ^


a0d7a155 ^
5f98a10c ^
1ead3562 ^
a0d7a155 ^

9dcbec39 ^
a0d7a155 ^

5f98a10c ^
1ead3562 ^
a0d7a155 ^

9dcbec39 ^
a0d7a155 ^
1848b18f ^

8d7839b9 ^
795f5244 ^
e236973b ^
42b31beb ^
a0d7a155 ^
1b76245c ^
a0d7a155 ^

b24eb476 ^
4e49b29e ^
a0d7a155 ^
9dcbec39 ^
a0d7a155 ^



8d72e565 ^
e4630643 ^

5fdd8e96 ^
9dcbec39 ^
a17ffca8 ^
f88883e2 ^
a0d7a155 ^



fca0ebbe ^
b24eb476 ^
827898fc ^
cfb142b9 ^
827898fc ^
42b31beb ^

1102f7d7 ^



8d7839b9 ^
88be3dbc ^
1ead3562 ^
bc643692 ^
8d7839b9 ^
57699011 ^
8d7839b9 ^
88be3dbc ^
1ead3562 ^
bc643692 ^

5497090a ^
8d7839b9 ^
57699011 ^
8d7839b9 ^
0487a30e ^
1ead3562 ^
bc643692 ^
0487a30e ^


1848b18f ^

8d7839b9 ^
795f5244 ^
e236973b ^
a0d7a155 ^
b24eb476 ^
a0d7a155 ^
9dcbec39 ^
a0d7a155 ^



8d72e565 ^
a0d7a155 ^

5fdd8e96 ^
9dcbec39 ^
a0d7a155 ^



8d7839b9 ^
42b31beb ^
fca0ebbe ^
b24eb476 ^
827898fc ^
0487a30e ^

827898fc ^
42b31beb ^

8d7839b9 ^
88be3dbc ^
1ead3562 ^
bc643692 ^
8d7839b9 ^
57699011 ^
8d7839b9 ^
88be3dbc ^
1ead3562 ^
bc643692 ^

5497090a ^
8d7839b9 ^
57699011 ^
8d7839b9 ^
0487a30e ^
1ead3562 ^
bc643692 ^
0487a30e ^


1848b18f ^

8d7839b9 ^
795f5244 ^
e236973b ^
42b31beb ^
a0d7a155 ^
1b76245c ^
e4630643 ^

b24eb476 ^
a0d7a155 ^
9dcbec39 ^
a0d7a155 ^



8d72e565 ^
a0d7a155 ^

5fdd8e96 ^
9dcbec39 ^
a17ffca8 ^
f88883e2 ^
a0d7a155 ^



fca0ebbe ^
b24eb476 ^
827898fc ^
cfb142b9 ^
827898fc ^
42b31beb ^

8d7839b9 ^
88be3dbc ^
1ead3562 ^
bc643692 ^
8d7839b9 ^
57699011 ^
8d7839b9 ^
88be3dbc ^
1ead3562 ^
bc643692 ^

5497090a ^
8d7839b9 ^
57699011 ^
8d7839b9 ^
0487a30e ^
1ead3562 ^
bc643692 ^
0487a30e ^


5497090a ^

1848b18f ^

8d7839b9 ^
795f5244 ^
e236973b ^
42b31beb ^
a0d7a155 ^
8d72e565 ^
e4630643 ^

a0d7a155 ^
8d72e565 ^
a17ffca8 ^
f88883e2 ^
a0d7a155 ^
8d72e565 ^
a0d7a155 ^

b24eb476 ^
5fdd8e96 ^
9dcbec39 ^
a0d7a155 ^







b24eb476 ^

a17ffca8 ^
acc4792d ^
0fac1f87 ^


a17ffca8 ^

b24eb476 ^

5497090a ^
827898fc ^

42b31beb ^

8d7839b9 ^
88be3dbc ^
1ead3562 ^
bc643692 ^
8d7839b9 ^
57699011 ^
57699011 ^
8d7839b9 ^
88be3dbc ^
1ead3562 ^
bc643692 ^

5497090a ^
8d7839b9 ^
57699011 ^
57699011 ^
fca0ebbe ^

1ead3562 ^
bc643692 ^
fca0ebbe ^

ac0e9db5 ^
a17ffca8 ^
1ead3562 ^
a17ffca8 ^




5f98a10c ^
1ead3562 ^
a17ffca8 ^


5f98a10c ^
8bd4d8dd ^









8d72e565 ^
8bd4d8dd ^


8d72e565 ^
8bd4d8dd ^


8d72e565 ^
8bd4d8dd ^


9dcbec39 ^
8bd4d8dd ^






b24eb476 ^

8bd4d8dd ^

acc4792d ^
8bd4d8dd ^






74bba68f ^
1ead3562 ^
74bba68f ^




1ead3562 ^
74bba68f ^




1ead3562 ^
74bba68f ^





1ead3562 ^
74bba68f ^




1ead3562 ^
74bba68f ^




8bd4d8dd ^






8d72e565 ^
8bd4d8dd ^


8d72e565 ^
8bd4d8dd ^


8d72e565 ^
8bd4d8dd ^


9dcbec39 ^
8bd4d8dd ^






b24eb476 ^

8bd4d8dd ^

acc4792d ^
8bd4d8dd ^





74bba68f ^

1ead3562 ^
74bba68f ^




1ead3562 ^
74bba68f ^




1ead3562 ^
74bba68f ^





1ead3562 ^
74bba68f ^




1ead3562 ^
74bba68f ^











8d72e565 ^
74bba68f ^


8d72e565 ^
74bba68f ^


8d72e565 ^
74bba68f ^


9dcbec39 ^
74bba68f ^






b24eb476 ^

74bba68f ^





1ead3562 ^
74bba68f ^




1ead3562 ^
74bba68f ^




1ead3562 ^
74bba68f ^




1ead3562 ^
74bba68f ^










8d72e565 ^
74bba68f ^


8d72e565 ^
74bba68f ^


8d72e565 ^
74bba68f ^


9dcbec39 ^
74bba68f ^






b24eb476 ^

74bba68f ^





1ead3562 ^
74bba68f ^




1ead3562 ^
74bba68f ^




1ead3562 ^
74bba68f ^










8d72e565 ^
74bba68f ^


8d72e565 ^
74bba68f ^


8d72e565 ^
74bba68f ^


9dcbec39 ^
74bba68f ^






b24eb476 ^

74bba68f ^





1ead3562 ^
74bba68f ^




1ead3562 ^
74bba68f ^




1ead3562 ^
74bba68f ^










8d72e565 ^
74bba68f ^


8d72e565 ^
74bba68f ^


8d72e565 ^
74bba68f ^


9dcbec39 ^
74bba68f ^






b24eb476 ^
74bba68f ^





1ead3562 ^
74bba68f ^




1ead3562 ^
74bba68f ^




1ead3562 ^
74bba68f ^




1ead3562 ^
74bba68f ^


0e6a3c0d ^





























db69ad7a ^


































0e6a3c0d ^

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
                         
 
                                             
    
                                        
                                
                                       
           
                                                                 
                                                    
                                                
                                                                                                                                                        



                                       
                                                                                                                             

          
                                                                                                       
                                                                                                                                             



          
                                                
           
                    
                                               
                                      

                     
                                   

        
 
                       
          
                        
 
                              
 
               
          

                     
                                    
 
                              
 
                        
          
                         


                              
                           
                     
          

                              
                                                                    

                                  
                     
          

                              
                                                                     
 

                                             
                                        
                                          
                                       
                
                                 
                                                                                      

          
                                                    
                                                                                                 
                                                
                                                                                                                                                             



                                       
                                                                                                                                  

          
                                                                                                       
                                                                                                                                                  
          
   



                                                
                                          
                                             
                                      
                     
                                   

        



                                
 
                            
          
                           
 
                             
 
                    
          

                     
                                         
 
                               
 
                             
          
                              


                             

                                             
                                        
                                          
                                       
                
                                                    
                                                
                                                                                                                                                             



                                       
                                                                                                                                  

          
                                                                                                       
                                                                                                                                                  



          
                                                
                
                    
                                               
                                      

                     
                                   

        
 
                            
          
                           
 
                             
 
                    
          

                    
                                         
 
                              
 
                             
          
                              


                              

                                             
                                        
                                      
                                       
              
                                 
                                                                                    

          
                                                    
                                                
                                                                                                                                                           



                                       
                                                                                                                                

          
                                                                                                       
                                                                                                                                                
          
   



                                                
                                          
                                             
                                      
                     
                                   

        
 
                          
          
                         
 
                             
 
                  
          

                     
                                       
 
                             
 
                           
          
                             


                             

                    

                                             
                                        
                                                                    
                                       
                             
                                    
                                                                                                                                                           

          
                                                                                       
                                                                                                                                                      
          
   
                                
                                                                                                                                        

          
                                                 
                                                                               
                                                                                                                                                                 







                                                

                                                    
               
                                                                                                                                  


                                

          

                        
                                            

                                      

        
 
                                         
          
                                                  
 
                             
                             
 
                                 
          

                     
                                                                
 
                             
                             

                                     
          
                         

                               
 
                          
          




                               
                     
          


                                                       
                                                                        









                                              
                                                                                                                                                


                                                                                       
                                                                                                                                           


                                
                                                                                                                            


                                                                                                       
                                                                                                                                                    






                                                

                                                    

                     
                                                                                                                                                       






                                 
                              
          




                             
          




                              
          





                                  
          




                                                                                   
          




                                    






                                                
                                                                                                                                                 


                                                                                       
                                                                                                                                            


                                
                                                                                                                             


                                                                                                       
                                                                                                                                                     






                                                

                                                    

                     
                                                                                                                                                       





                                 

                               
          




                              
          




                                 
          





                                   
          




                                                                                    
          











                                             
                                                                                                                                              


                                                                                       
                                                                                                                                         


                                
                                                                                                                          


                                                                                                       
                                                                                                                                                  






                                                

                                                    





                                
          




                             
          




                             
          




                             
          










                                             
                                                                                                                                             


                                                                                       
                                                                                                                                        


                                
                                                                                                                         


                                                                                                       
                                                                                                                                                 






                                                

                                                    





                                
          




                              
          




                              
          










                                             
                                                                                                                                              


                                                                                       
                                                                                                                                         


                                
                                                                                                                          


                                                                                                       
                                                                                                                                                  






                                                

                                                    





                                
          




                              
          




                             
          










                                             
                                                                                                                                              


                                              
                                                                                                                                           


                                
                                                                                                                           


                                                                                                       
                                                                                                                                                   






                                                
                                                    





                               
          




                              
          




                             
          




                              
          


                               





























                                                                                                                                                                   


































                                                                                                                                                                                  

                        
//: Arithmetic primitives

:(before "End Primitive Recipe Declarations")
ADD,
:(before "End Primitive Recipe Numbers")
put(Recipe_ordinal, "add", ADD);
:(before "End Primitive Recipe Checks")
case ADD: {
  // primary goal of these checks is to forbid address arithmetic
  for (int i = 0; i < SIZE(inst.ingredients); ++i) {
    if (!is_mu_number(inst.ingredients.at(i))) {
      raise << maybe(get(Recipe, r).name) << "'add' requires number ingredients, but got '" << inst.ingredients.at(i).original_string << "'\n" << end();
      goto finish_checking_instruction;
    }
  }
  if (SIZE(inst.products) > 1) {
    raise << maybe(get(Recipe, r).name) << "'add' yields exactly one product in '" << inst.original_string << "'\n" << end();
    break;
  }
  if (!inst.products.empty() && !is_dummy(inst.products.at(0)) && !is_mu_number(inst.products.at(0))) {
    raise << maybe(get(Recipe, r).name) << "'add' should yield a number, but got '" << inst.products.at(0).original_string << "'\n" << end();
    break;
  }
  break;
}
:(before "End Primitive Recipe Implementations")
case ADD: {
  double result = 0;
  for (int i = 0; i < SIZE(ingredients); ++i) {
    result += ingredients.at(i).at(0);
  }
  products.resize(1);
  products.at(0).push_back(result);
  break;
}

:(scenario add_literal)
def main [
  1:number <- add 23, 34
]
+mem: storing 57 in location 1

:(scenario add)
def main [
  1:number <- copy 23
  2:number <- copy 34
  3:number <- add 1:number, 2:number
]
+mem: storing 57 in location 3

:(scenario add_multiple)
def main [
  1:number <- add 3, 4, 5
]
+mem: storing 12 in location 1

:(scenario add_checks_type)
% Hide_errors = true;
def main [
  1:number <- add 2:boolean, 1
]
+error: main: 'add' requires number ingredients, but got '2:boolean'

:(scenario add_checks_return_type)
% Hide_errors = true;
def main [
  1:address:number <- add 2, 2
]
+error: main: 'add' should yield a number, but got '1:address:number'

:(before "End Primitive Recipe Declarations")
SUBTRACT,
:(before "End Primitive Recipe Numbers")
put(Recipe_ordinal, "subtract", SUBTRACT);
:(before "End Primitive Recipe Checks")
case SUBTRACT: {
  if (inst.ingredients.empty()) {
    raise << maybe(get(Recipe, r).name) << "'subtract' has no ingredients\n" << end();
    break;
  }
  for (int i = 0; i < SIZE(inst.ingredients); ++i) {
    if (is_raw(inst.ingredients.at(i))) continue;  // permit address offset computations in tests
    if (!is_mu_number(inst.ingredients.at(i))) {
      raise << maybe(get(Recipe, r).name) << "'subtract' requires number ingredients, but got '" << inst.ingredients.at(i).original_string << "'\n" << end();
      goto finish_checking_instruction;
    }
  }
  if (SIZE(inst.products) > 1) {
    raise << maybe(get(Recipe, r).name) << "'subtract' yields exactly one product in '" << inst.original_string << "'\n" << end();
    break;
  }
  if (!inst.products.empty() && !is_dummy(inst.products.at(0)) && !is_mu_number(inst.products.at(0))) {
    raise << maybe(get(Recipe, r).name) << "'subtract' should yield a number, but got '" << inst.products.at(0).original_string << "'\n" << end();
    break;
  }
  break;
}
:(before "End Primitive Recipe Implementations")
case SUBTRACT: {
  double result = ingredients.at(0).at(0);
  for (int i = 1; i < SIZE(ingredients); ++i)
    result -= ingredients.at(i).at(0);
  products.resize(1);
  products.at(0).push_back(result);
  break;
}
:(code)
bool is_raw(const reagent& r) {
  return has_property(r, "raw");
}

:(scenario subtract_literal)
def main [
  1:number <- subtract 5, 2
]
+mem: storing 3 in location 1

:(scenario subtract)
def main [
  1:number <- copy 23
  2:number <- copy 34
  3:number <- subtract 1:number, 2:number
]
+mem: storing -11 in location 3

:(scenario subtract_multiple)
def main [
  1:number <- subtract 6, 3, 2
]
+mem: storing 1 in location 1

:(before "End Primitive Recipe Declarations")
MULTIPLY,
:(before "End Primitive Recipe Numbers")
put(Recipe_ordinal, "multiply", MULTIPLY);
:(before "End Primitive Recipe Checks")
case MULTIPLY: {
  for (int i = 0; i < SIZE(inst.ingredients); ++i) {
    if (!is_mu_number(inst.ingredients.at(i))) {
      raise << maybe(get(Recipe, r).name) << "'multiply' requires number ingredients, but got '" << inst.ingredients.at(i).original_string << "'\n" << end();
      goto finish_checking_instruction;
    }
  }
  if (SIZE(inst.products) > 1) {
    raise << maybe(get(Recipe, r).name) << "'multiply' yields exactly one product in '" << inst.original_string << "'\n" << end();
    break;
  }
  if (!inst.products.empty() && !is_dummy(inst.products.at(0)) && !is_mu_number(inst.products.at(0))) {
    raise << maybe(get(Recipe, r).name) << "'multiply' should yield a number, but got '" << inst.products.at(0).original_string << "'\n" << end();
    break;
  }
  break;
}
:(before "End Primitive Recipe Implementations")
case MULTIPLY: {
  double result = 1;
  for (int i = 0; i < SIZE(ingredients); ++i) {
    result *= ingredients.at(i).at(0);
  }
  products.resize(1);
  products.at(0).push_back(result);
  break;
}

:(scenario multiply_literal)
def main [
  1:number <- multiply 2, 3
]
+mem: storing 6 in location 1

:(scenario multiply)
def main [
  1:number <- copy 4
  2:number <- copy 6
  3:number <- multiply 1:number, 2:number
]
+mem: storing 24 in location 3

:(scenario multiply_multiple)
def main [
  1:number <- multiply 2, 3, 4
]
+mem: storing 24 in location 1

:(before "End Primitive Recipe Declarations")
DIVIDE,
:(before "End Primitive Recipe Numbers")
put(Recipe_ordinal, "divide", DIVIDE);
:(before "End Primitive Recipe Checks")
case DIVIDE: {
  if (inst.ingredients.empty()) {
    raise << maybe(get(Recipe, r).name) << "'divide' has no ingredients\n" << end();
    break;
  }
  for (int i = 0; i < SIZE(inst.ingredients); ++i) {
    if (!is_mu_number(inst.ingredients.at(i))) {
      raise << maybe(get(Recipe, r).name) << "'divide' requires number ingredients, but got '" << inst.ingredients.at(i).original_string << "'\n" << end();
      goto finish_checking_instruction;
    }
  }
  if (SIZE(inst.products) > 1) {
    raise << maybe(get(Recipe, r).name) << "'divide' yields exactly one product in '" << inst.original_string << "'\n" << end();
    break;
  }
  if (!inst.products.empty() && !is_dummy(inst.products.at(0)) && !is_mu_number(inst.products.at(0))) {
    raise << maybe(get(Recipe, r).name) << "'divide' should yield a number, but got '" << inst.products.at(0).original_string << "'\n" << end();
    break;
  }
  break;
}
:(before "End Primitive Recipe Implementations")
case DIVIDE: {
  double result = ingredients.at(0).at(0);
  for (int i = 1; i < SIZE(ingredients); ++i)
    result /= ingredients.at(i).at(0);
  products.resize(1);
  products.at(0).push_back(result);
  break;
}

:(scenario divide_literal)
def main [
  1:number <- divide 8, 2
]
+mem: storing 4 in location 1

:(scenario divide)
def main [
  1:number <- copy 27
  2:number <- copy 3
  3:number <- divide 1:number, 2:number
]
+mem: storing 9 in location 3

:(scenario divide_multiple)
def main [
  1:number <- divide 12, 3, 2
]
+mem: storing 2 in location 1

//: Integer division

:(before "End Primitive Recipe Declarations")
DIVIDE_WITH_REMAINDER,
:(before "End Primitive Recipe Numbers")
put(Recipe_ordinal, "divide-with-remainder", DIVIDE_WITH_REMAINDER);
:(before "End Primitive Recipe Checks")
case DIVIDE_WITH_REMAINDER: {
  if (SIZE(inst.ingredients) != 2) {
    raise << maybe(get(Recipe, r).name) << "'divide-with-remainder' requires exactly two ingredients, but got '" << inst.original_string << "'\n" << end();
    break;
  }
  if (!is_mu_number(inst.ingredients.at(0)) || !is_mu_number(inst.ingredients.at(1))) {
    raise << maybe(get(Recipe, r).name) << "'divide-with-remainder' requires number ingredients, but got '" << inst.original_string << "'\n" << end();
    break;
  }
  if (SIZE(inst.products) > 2) {
    raise << maybe(get(Recipe, r).name) << "'divide-with-remainder' yields two products in '" << inst.original_string << "'\n" << end();
    break;
  }
  for (int i = 0; i < SIZE(inst.products); ++i) {
    if (!is_dummy(inst.products.at(i)) && !is_mu_number(inst.products.at(i))) {
      raise << maybe(get(Recipe, r).name) << "'divide-with-remainder' should yield a number, but got '" << inst.products.at(i).original_string << "'\n" << end();
      goto finish_checking_instruction;
    }
  }
  break;
}
:(before "End Primitive Recipe Implementations")
case DIVIDE_WITH_REMAINDER: {
  products.resize(2);
  int a = static_cast<int>(ingredients.at(0).at(0));
  int b = static_cast<int>(ingredients.at(1).at(0));
  if (b == 0) {
    raise << maybe(current_recipe_name()) << "divide by zero in '" << to_original_string(current_instruction()) << "'\n" << end();
    products.resize(2);
    products.at(0).push_back(0);
    products.at(1).push_back(0);
    break;
  }
  int quotient = a / b;
  int remainder = a % b;
  // very large integers will lose precision
  products.at(0).push_back(quotient);
  products.at(1).push_back(remainder);
  break;
}

:(scenario divide_with_remainder_literal)
def main [
  1:number, 2:number <- divide-with-remainder 9, 2
]
+mem: storing 4 in location 1
+mem: storing 1 in location 2

:(scenario divide_with_remainder)
def main [
  1:number <- copy 27
  2:number <- copy 11
  3:number, 4:number <- divide-with-remainder 1:number, 2:number
]
+mem: storing 2 in location 3
+mem: storing 5 in location 4

:(scenario divide_with_decimal_point)
def main [
  1:number <- divide 5, 2
]
+mem: storing 2.5 in location 1

:(scenario divide_by_zero)
def main [
  1:number <- divide 4, 0
]
+mem: storing inf in location 1

:(scenario divide_by_zero_2)
% Hide_errors = true;
def main [
  1:number <- divide-with-remainder 4, 0
]
# integer division can't return floating-point infinity
+error: main: divide by zero in '1:number <- divide-with-remainder 4, 0'

//: Bitwise shifts

:(before "End Primitive Recipe Declarations")
SHIFT_LEFT,
:(before "End Primitive Recipe Numbers")
put(Recipe_ordinal, "shift-left", SHIFT_LEFT);
:(before "End Primitive Recipe Checks")
case SHIFT_LEFT: {
  if (SIZE(inst.ingredients) != 2) {
    raise << maybe(get(Recipe, r).name) << "'shift-left' requires exactly two ingredients, but got '" << inst.original_string << "'\n" << end();
    break;
  }
  if (!is_mu_number(inst.ingredients.at(0)) || !is_mu_number(inst.ingredients.at(1))) {
    raise << maybe(get(Recipe, r).name) << "'shift-left' requires number ingredients, but got '" << inst.original_string << "'\n" << end();
    break;
  }
  if (SIZE(inst.products) > 1) {
    raise << maybe(get(Recipe, r).name) << "'shift-left' yields one product in '" << inst.original_string << "'\n" << end();
    break;
  }
  if (!inst.products.empty() && !is_dummy(inst.products.at(0)) && !is_mu_number(inst.products.at(0))) {
    raise << maybe(get(Recipe, r).name) << "'shift-left' should yield a number, but got '" << inst.products.at(0).original_string << "'\n" << end();
    goto finish_checking_instruction;
  }
  break;
}
:(before "End Primitive Recipe Implementations")
case SHIFT_LEFT: {
  // ingredients must be integers
  int a = static_cast<int>(ingredients.at(0).at(0));
  int b = static_cast<int>(ingredients.at(1).at(0));
  products.resize(1);
  if (b < 0) {
    raise << maybe(current_recipe_name()) << "second ingredient can't be negative in '" << to_original_string(current_instruction()) << "'\n" << end();
    products.at(0).push_back(0);
    break;
  }
  products.at(0).push_back(a<<b);
  break;
}

:(scenario shift_left_by_zero)
def main [
  1:number <- shift-left 1, 0
]
+mem: storing 1 in location 1

:(scenario shift_left_1)
def main [
  1:number <- shift-left 1, 4
]
+mem: storing 16 in location 1

:(scenario shift_left_2)
def main [
  1:number <- shift-left 3, 2
]
+mem: storing 12 in location 1

:(scenario shift_left_by_negative)
% Hide_errors = true;
def main [
  1:number <- shift-left 3, -1
]
+error: main: second ingredient can't be negative in '1:number <- shift-left 3, -1'

:(scenario shift_left_ignores_fractional_part)
def main [
  1:number <- divide 3, 2
  2:number <- shift-left 1:number, 1
]
+mem: storing 2 in location 2

:(before "End Primitive Recipe Declarations")
SHIFT_RIGHT,
:(before "End Primitive Recipe Numbers")
put(Recipe_ordinal, "shift-right", SHIFT_RIGHT);
:(before "End Primitive Recipe Checks")
case SHIFT_RIGHT: {
  if (SIZE(inst.ingredients) != 2) {
    raise << maybe(get(Recipe, r).name) << "'shift-right' requires exactly two ingredients, but got '" << inst.original_string << "'\n" << end();
    break;
  }
  if (!is_mu_number(inst.ingredients.at(0)) || !is_mu_number(inst.ingredients.at(1))) {
    raise << maybe(get(Recipe, r).name) << "'shift-right' requires number ingredients, but got '" << inst.original_string << "'\n" << end();
    break;
  }
  if (SIZE(inst.products) > 1) {
    raise << maybe(get(Recipe, r).name) << "'shift-right' yields one product in '" << inst.original_string << "'\n" << end();
    break;
  }
  if (!inst.products.empty() && !is_dummy(inst.products.at(0)) && !is_mu_number(inst.products.at(0))) {
    raise << maybe(get(Recipe, r).name) << "'shift-right' should yield a number, but got '" << inst.products.at(0).original_string << "'\n" << end();
    goto finish_checking_instruction;
  }
  break;
}
:(before "End Primitive Recipe Implementations")
case SHIFT_RIGHT: {
  // ingredients must be integers
  int a = static_cast<int>(ingredients.at(0).at(0));
  int b = static_cast<int>(ingredients.at(1).at(0));
  products.resize(1);
  if (b < 0) {
    raise << maybe(current_recipe_name()) << "second ingredient can't be negative in '" << to_original_string(current_instruction()) << "'\n" << end();
    products.at(0).push_back(0);
    break;
  }
  products.at(0).push_back(a>>b);
  break;
}

:(scenario shift_right_by_zero)
def main [
  1:number <- shift-right 1, 0
]
+mem: storing 1 in location 1

:(scenario shift_right_1)
def main [
  1:number <- shift-right 1024, 1
]
+mem: storing 512 in location 1

:(scenario shift_right_2)
def main [
  1:number <- shift-right 3, 1
]
+mem: storing 1 in location 1

:(scenario shift_right_by_negative)
% Hide_errors = true;
def main [
  1:number <- shift-right 4, -1
]
+error: main: second ingredient can't be negative in '1:number <- shift-right 4, -1'

:(scenario shift_right_ignores_fractional_part)
def main [
  1:number <- divide 3, 2
  2:number <- shift-right 1:number, 1
]
+mem: storing 0 in location 2

:(before "End Primitive Recipe Declarations")
AND_BITS,
:(before "End Primitive Recipe Numbers")
put(Recipe_ordinal, "and-bits", AND_BITS);
:(before "End Primitive Recipe Checks")
case AND_BITS: {
  if (SIZE(inst.ingredients) != 2) {
    raise << maybe(get(Recipe, r).name) << "'and-bits' requires exactly two ingredients, but got '" << inst.original_string << "'\n" << end();
    break;
  }
  if (!is_mu_number(inst.ingredients.at(0)) || !is_mu_number(inst.ingredients.at(1))) {
    raise << maybe(get(Recipe, r).name) << "'and-bits' requires number ingredients, but got '" << inst.original_string << "'\n" << end();
    break;
  }
  if (SIZE(inst.products) > 1) {
    raise << maybe(get(Recipe, r).name) << "'and-bits' yields one product in '" << inst.original_string << "'\n" << end();
    break;
  }
  if (!inst.products.empty() && !is_dummy(inst.products.at(0)) && !is_mu_number(inst.products.at(0))) {
    raise << maybe(get(Recipe, r).name) << "'and-bits' should yield a number, but got '" << inst.products.at(0).original_string << "'\n" << end();
    goto finish_checking_instruction;
  }
  break;
}
:(before "End Primitive Recipe Implementations")
case AND_BITS: {
  // ingredients must be integers
  int a = static_cast<int>(ingredients.at(0).at(0));
  int b = static_cast<int>(ingredients.at(1).at(0));
  products.resize(1);
  products.at(0).push_back(a&b);
  break;
}

:(scenario and_bits_1)
def main [
  1:number <- and-bits 8, 3
]
+mem: storing 0 in location 1

:(scenario and_bits_2)
def main [
  1:number <- and-bits 3, 2
]
+mem: storing 2 in location 1

:(scenario and_bits_3)
def main [
  1:number <- and-bits 14, 3
]
+mem: storing 2 in location 1

:(scenario and_bits_negative)
def main [
  1:number <- and-bits -3, 4
]
+mem: storing 4 in location 1

:(before "End Primitive Recipe Declarations")
OR_BITS,
:(before "End Primitive Recipe Numbers")
put(Recipe_ordinal, "or-bits", OR_BITS);
:(before "End Primitive Recipe Checks")
case OR_BITS: {
  if (SIZE(inst.ingredients) != 2) {
    raise << maybe(get(Recipe, r).name) << "'or-bits' requires exactly two ingredients, but got '" << inst.original_string << "'\n" << end();
    break;
  }
  if (!is_mu_number(inst.ingredients.at(0)) || !is_mu_number(inst.ingredients.at(1))) {
    raise << maybe(get(Recipe, r).name) << "'or-bits' requires number ingredients, but got '" << inst.original_string << "'\n" << end();
    break;
  }
  if (SIZE(inst.products) > 1) {
    raise << maybe(get(Recipe, r).name) << "'or-bits' yields one product in '" << inst.original_string << "'\n" << end();
    break;
  }
  if (!inst.products.empty() && !is_dummy(inst.products.at(0)) && !is_mu_number(inst.products.at(0))) {
    raise << maybe(get(Recipe, r).name) << "'or-bits' should yield a number, but got '" << inst.products.at(0).original_string << "'\n" << end();
    goto finish_checking_instruction;
  }
  break;
}
:(before "End Primitive Recipe Implementations")
case OR_BITS: {
  // ingredients must be integers
  int a = static_cast<int>(ingredients.at(0).at(0));
  int b = static_cast<int>(ingredients.at(1).at(0));
  products.resize(1);
  products.at(0).push_back(a|b);
  break;
}

:(scenario or_bits_1)
def main [
  1:number <- or-bits 3, 8
]
+mem: storing 11 in location 1

:(scenario or_bits_2)
def main [
  1:number <- or-bits 3, 10
]
+mem: storing 11 in location 1

:(scenario or_bits_3)
def main [
  1:number <- or-bits 4, 6
]
+mem: storing 6 in location 1

:(before "End Primitive Recipe Declarations")
XOR_BITS,
:(before "End Primitive Recipe Numbers")
put(Recipe_ordinal, "xor-bits", XOR_BITS);
:(before "End Primitive Recipe Checks")
case XOR_BITS: {
  if (SIZE(inst.ingredients) != 2) {
    raise << maybe(get(Recipe, r).name) << "'xor-bits' requires exactly two ingredients, but got '" << inst.original_string << "'\n" << end();
    break;
  }
  if (!is_mu_number(inst.ingredients.at(0)) || !is_mu_number(inst.ingredients.at(1))) {
    raise << maybe(get(Recipe, r).name) << "'xor-bits' requires number ingredients, but got '" << inst.original_string << "'\n" << end();
    break;
  }
  if (SIZE(inst.products) > 1) {
    raise << maybe(get(Recipe, r).name) << "'xor-bits' yields one product in '" << inst.original_string << "'\n" << end();
    break;
  }
  if (!inst.products.empty() && !is_dummy(inst.products.at(0)) && !is_mu_number(inst.products.at(0))) {
    raise << maybe(get(Recipe, r).name) << "'xor-bits' should yield a number, but got '" << inst.products.at(0).original_string << "'\n" << end();
    goto finish_checking_instruction;
  }
  break;
}
:(before "End Primitive Recipe Implementations")
case XOR_BITS: {
  // ingredients must be integers
  int a = static_cast<int>(ingredients.at(0).at(0));
  int b = static_cast<int>(ingredients.at(1).at(0));
  products.resize(1);
  products.at(0).push_back(a^b);
  break;
}

:(scenario xor_bits_1)
def main [
  1:number <- xor-bits 3, 8
]
+mem: storing 11 in location 1

:(scenario xor_bits_2)
def main [
  1:number <- xor-bits 3, 10
]
+mem: storing 9 in location 1

:(scenario xor_bits_3)
def main [
  1:number <- xor-bits 4, 6
]
+mem: storing 2 in location 1

:(before "End Primitive Recipe Declarations")
FLIP_BITS,
:(before "End Primitive Recipe Numbers")
put(Recipe_ordinal, "flip-bits", FLIP_BITS);
:(before "End Primitive Recipe Checks")
case FLIP_BITS: {
  if (SIZE(inst.ingredients) != 1) {
    raise << maybe(get(Recipe, r).name) << "'flip-bits' requires exactly one ingredient, but got '" << inst.original_string << "'\n" << end();
    break;
  }
  if (!is_mu_number(inst.ingredients.at(0))) {
    raise << maybe(get(Recipe, r).name) << "'flip-bits' requires a number ingredient, but got '" << inst.original_string << "'\n" << end();
    break;
  }
  if (SIZE(inst.products) > 1) {
    raise << maybe(get(Recipe, r).name) << "'flip-bits' yields one product in '" << inst.original_string << "'\n" << end();
    break;
  }
  if (!inst.products.empty() && !is_dummy(inst.products.at(0)) && !is_mu_number(inst.products.at(0))) {
    raise << maybe(get(Recipe, r).name) << "'flip-bits' should yield a number, but got '" << inst.products.at(0).original_string << "'\n" << end();
    goto finish_checking_instruction;
  }
  break;
}
:(before "End Primitive Recipe Implementations")
case FLIP_BITS: {
  // ingredient must be integer
  int a = static_cast<int>(ingredients.at(0).at(0));
  products.resize(1);
  products.at(0).push_back(~a);
  break;
}

:(scenario flip_bits_zero)
def main [
  1:number <- flip-bits 0
]
+mem: storing -1 in location 1

:(scenario flip_bits_negative)
def main [
  1:number <- flip-bits -1
]
+mem: storing 0 in location 1

:(scenario flip_bits_1)
def main [
  1:number <- flip-bits 3
]
+mem: storing -4 in location 1

:(scenario flip_bits_2)
def main [
  1:number <- flip-bits 12
]
+mem: storing -13 in location 1

:(before "End Primitive Recipe Declarations")
ROUND,
:(before "End Primitive Recipe Numbers")
put(Recipe_ordinal, "round", ROUND);
:(before "End Primitive Recipe Checks")
case ROUND: {
  if (SIZE(inst.ingredients) != 1) {
    raise << maybe(get(Recipe, r).name) << "'round' requires exactly one ingredient, but got '" << inst.original_string << "'\n" << end();
    break;
  }
  if (!is_mu_number(inst.ingredients.at(0))) {
    raise << maybe(get(Recipe, r).name) << "first ingredient of 'round' should be a number, but got '" << inst.ingredients.at(0).original_string << "'\n" << end();
    break;
  }
  break;
}
:(before "End Primitive Recipe Implementations")
case ROUND: {
  products.resize(1);
  products.at(0).push_back(rint(ingredients.at(0).at(0)));
  break;
}

:(scenario round_to_nearest_integer)
def main [
  1:number <- round 12.2
]
+mem: storing 12 in location 1

:(before "End Primitive Recipe Declarations")
CHARACTER_TO_CODE,
:(before "End Primitive Recipe Numbers")
put(Recipe_ordinal, "character-to-code", CHARACTER_TO_CODE);
:(before "End Primitive Recipe Checks")
case CHARACTER_TO_CODE: {
  if (SIZE(inst.ingredients) != 1) {
    raise << maybe(get(Recipe, r).name) << "'character-to-code' requires exactly one ingredient, but got '" << inst.original_string << "'\n" << end();
    break;
  }
  if (!is_mu_character(inst.ingredients.at(0))) {
    raise << maybe(get(Recipe, r).name) << "first ingredient of 'character-to-code' should be a character, but got '" << inst.ingredients.at(0).original_string << "'\n" << end();
    break;
  }
  if (SIZE(inst.products) != 1) {
    raise << maybe(get(Recipe, r).name) << "'character-to-code' requires exactly one product, but got '" << inst.original_string << "'\n" << end();
    break;
  }
  if (!is_mu_number(inst.products.at(0))) {
    raise << maybe(get(Recipe, r).name) << "first product of 'character-to-code' should be a number, but got '" << inst.products.at(0).original_string << "'\n" << end();
    break;
  }
  break;
}
:(before "End Primitive Recipe Implementations")
case CHARACTER_TO_CODE: {
  double result = 0;
  for (int i = 0; i < SIZE(ingredients); ++i) {
    result += ingredients.at(i).at(0);
  }
  products.resize(1);
  products.at(0).push_back(result);
  break;
}

:(before "End Includes")
#include <math.h>