fidget-jit 0.4.3

Native JIT compiler for Fidget
Documentation
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
use crate::{
    Assembler, AssemblerData, IMM_REG, OFFSET, REGISTER_LIMIT,
    grad_slice::GradSliceAssembler, mmap::Mmap, reg,
};
use dynasmrt::{DynasmApi, DynasmError, DynasmLabelApi, dynasm};
use fidget_core::types::Grad;

/// Implementation for the gradient slice assembler on `aarch64`
///
/// Registers are passed in as follows:
///
/// | Variable   | Register | Type                      |
/// |------------|----------|---------------------------|
/// | `vars`     | `x0`     | `*const *const [f32; 4]`  |
/// | `out`      | `x1`     | `*const *mut [f32; 4]`    |
/// | `count`    | `x2`     | `u64`                     |
///
/// During evaluation, variables are loaded into SIMD registers in the order
/// `[value, dx, dy, dz]`, e.g. if we load `vars[0]` into `V0`, its value would
/// be in `V0.S0` (and the three partial derivatives would be in `V0.S{1,2,3}`).
///
/// In addition to the registers above (`x0-5`), the following extra registers
/// are used during evaluation:
///
/// | Register | Description                                          |
/// |----------|------------------------------------------------------|
/// | `x3`     | byte offset within input arrays                      |
/// | `x4`     | Staging for loading SIMD values                      |
/// | `v3.s4`  | Immediate value (`IMM_REG`)                          |
/// | `v7.s4`  | Immediate value for recip (1.0)                      |
/// | `w9`     | Staging for loading immediates                       |
/// | `w15`    | Staging to load variables                            |
/// | `x20-23` | Backups for `x0-3` during function calls             |
///
/// The stack is configured as follows
///
/// ```text
/// | Position | Value        | Notes                                       |
/// |----------|--------------|---------------------------------------------|
/// | 0x220    | ...          | Register spills live up here                |
/// |----------|--------------|---------------------------------------------|
/// | 0x218    | `x23`        | Backup for callee-saved registers           |
/// | 0x210    | `x22`        |                                             |
/// | 0x208    | `x21`        |                                             |
/// | 0x200    | `x20`        |                                             |
/// |----------|--------------|---------------------------------------------|
/// | 0x1c0    | `q31`        | During functions calls, caller-saved tape   |
/// | 0x1b0    | `q30`        | registers are saved on the stack            |
/// | 0x1a0    | `q29`        |                                             |
/// | 0x190    | `q28`        |                                             |
/// | 0x180    | `q27`        |                                             |
/// | 0x170    | `q26`        |                                             |
/// | 0x160    | `q25`        |                                             |
/// | 0x150    | `q24`        |                                             |
/// | 0x140    | `q23`        |                                             |
/// | 0x130    | `q22`        |                                             |
/// | 0x120    | `q21`        |                                             |
/// | 0x110    | `q20`        |                                             |
/// | 0x100    | `q19`        |                                             |
/// | 0xf0     | `q18`        |                                             |
/// | 0xe0     | `q17`        |                                             |
/// | 0xd0     | `q16`        |                                             |
/// | 0xc0     | `q15`        | We also have to save callee-saved registers |
/// | 0xb0     | `q14`        | because the callee only saves the lower 64  |
/// | 0xa0     | `q13`        | bits, and we're using all 128               |
/// | 0x90     | `q12`        |                                             |
/// | 0x80     | `q11`        |                                             |
/// | 0x70     | `q10`        |                                             |
/// | 0x60     | `q9`         |                                             |
/// | 0x50     | `q8`         |                                             |
/// |----------|--------------|---------------------------------------------|
/// | 0x48     | `d15`        | Callee-saved registers                      |
/// | 0x40     | `d14`        |                                             |
/// | 0x38     | `d13`        |                                             |
/// | 0x30     | `d12`        |                                             |
/// | 0x28     | `d11`        |                                             |
/// | 0x20     | `d10`        |                                             |
/// | 0x18     | `d9`         |                                             |
/// | 0x10     | `d8`         |                                             |
/// |----------|--------------|---------------------------------------------|
/// | 0x8      | `sp` (`x30`) | Stack frame                                 |
/// | 0x0      | `fp` (`x29`) | [current value for sp]                      |
/// ```
const STACK_SIZE: u32 = 0x220;

#[expect(clippy::useless_conversion)]
impl Assembler for GradSliceAssembler {
    type Data = Grad;

    fn init(mmap: Mmap, slot_count: usize) -> Self {
        let mut out = AssemblerData::new(mmap);
        out.prepare_stack(slot_count, STACK_SIZE as usize);
        dynasm!(out.ops
            // Preserve frame and link register, and set up the frame pointer
            ; stp   x29, x30, [sp, 0x0]
            ; mov   x29, sp

            // Preserve callee-saved floating-point registers
            ; stp   d8, d9, [sp, 0x10]
            ; stp   d10, d11, [sp, 0x20]
            ; stp   d12, d13, [sp, 0x30]
            ; stp   d14, d15, [sp, 0x40]

            // Back up a few callee-saved registers that we use for functions
            // calls. We have to use `str` here because we're outside the range
            // for `stp`, sadly
            //
            // TODO: only do this if we're doing function calls?
            ; str x20, [sp, 0x200]
            ; str x21, [sp, 0x208]
            ; str x22, [sp, 0x210]
            ; str x23, [sp, 0x218]

            ; mov x3, 0

            // The loop returns here, and we check whether we need to loop
            ; ->L:
            // Remember, at this point we have
            //  x0: vars input pointer
            //  x1: output array pointer
            //  x2: number of points to evaluate
            //  x3: offset within SIMD arrays
            //
            // We'll be decrementing x2 by 1 here; x1 and x3 are modified in
            // finalize().

            ; cmp x2, 0
            ; b.eq ->E // function exit

            // Loop body: math begins below
        );

        Self(out)
    }

    fn bytes_per_clause() -> usize {
        20
    }

    /// Reads from `src_mem` to `dst_reg`
    fn build_load(&mut self, dst_reg: u8, src_mem: u32) {
        assert!((dst_reg as usize) < REGISTER_LIMIT);
        let sp_offset = self.0.stack_pos(src_mem) + STACK_SIZE;
        assert!(sp_offset < 65536);
        dynasm!(self.0.ops
            ; ldr Q(reg(dst_reg)), [sp, sp_offset]
        )
    }
    /// Writes from `src_reg` to `dst_mem`
    fn build_store(&mut self, dst_mem: u32, src_reg: u8) {
        assert!((src_reg as usize) < REGISTER_LIMIT);
        let sp_offset = self.0.stack_pos(dst_mem) + STACK_SIZE;
        assert!(sp_offset < 65536);
        dynasm!(self.0.ops
            ; str Q(reg(src_reg)), [sp, sp_offset]
        )
    }
    /// Copies the given input to `out_reg`
    fn build_input(&mut self, out_reg: u8, src_arg: u32) {
        assert!(src_arg < 16384 / 8);
        dynasm!(self.0.ops
            ; ldr x4, [x0, src_arg * 8]
            ; add x4, x4, x3 // apply array offset
            ; eor V(reg(out_reg)).b16, V(reg(out_reg)).b16, V(reg(out_reg)).b16
            ; ldr Q(reg(out_reg)), [x4]
        );
    }

    fn build_output(&mut self, arg_reg: u8, out_index: u32) {
        assert!(out_index < 16384 / 8);
        dynasm!(self.0.ops
            ; ldr x4, [x1, out_index * 8]
            ; add x4, x4, x3 // apply array offset
            ; str Q(reg(arg_reg)), [x4] // write to the output array
        );
    }

    fn build_sin(&mut self, out_reg: u8, lhs_reg: u8) {
        extern "C" fn grad_sin(v: Grad) -> Grad {
            v.sin()
        }
        self.call_fn_unary(out_reg, lhs_reg, grad_sin);
    }
    fn build_cos(&mut self, out_reg: u8, lhs_reg: u8) {
        extern "C" fn float_cos(f: Grad) -> Grad {
            f.cos()
        }
        self.call_fn_unary(out_reg, lhs_reg, float_cos);
    }
    fn build_tan(&mut self, out_reg: u8, lhs_reg: u8) {
        extern "C" fn float_tan(f: Grad) -> Grad {
            f.tan()
        }
        self.call_fn_unary(out_reg, lhs_reg, float_tan);
    }
    fn build_asin(&mut self, out_reg: u8, lhs_reg: u8) {
        extern "C" fn float_asin(f: Grad) -> Grad {
            f.asin()
        }
        self.call_fn_unary(out_reg, lhs_reg, float_asin);
    }
    fn build_acos(&mut self, out_reg: u8, lhs_reg: u8) {
        extern "C" fn float_acos(f: Grad) -> Grad {
            f.acos()
        }
        self.call_fn_unary(out_reg, lhs_reg, float_acos);
    }
    fn build_atan(&mut self, out_reg: u8, lhs_reg: u8) {
        extern "C" fn float_atan(f: Grad) -> Grad {
            f.atan()
        }
        self.call_fn_unary(out_reg, lhs_reg, float_atan);
    }
    fn build_exp(&mut self, out_reg: u8, lhs_reg: u8) {
        extern "C" fn float_exp(f: Grad) -> Grad {
            f.exp()
        }
        self.call_fn_unary(out_reg, lhs_reg, float_exp);
    }
    fn build_ln(&mut self, out_reg: u8, lhs_reg: u8) {
        extern "C" fn float_ln(f: Grad) -> Grad {
            f.ln()
        }
        self.call_fn_unary(out_reg, lhs_reg, float_ln);
    }
    fn build_copy(&mut self, out_reg: u8, lhs_reg: u8) {
        dynasm!(self.0.ops ; mov V(reg(out_reg)).b16, V(reg(lhs_reg)).b16)
    }
    fn build_neg(&mut self, out_reg: u8, lhs_reg: u8) {
        dynasm!(self.0.ops ; fneg V(reg(out_reg)).s4, V(reg(lhs_reg)).s4)
    }
    fn build_abs(&mut self, out_reg: u8, lhs_reg: u8) {
        // TODO: use two fcsel instead?
        dynasm!(self.0.ops
            ; fcmp S(reg(lhs_reg)), 0.0
            ; b.lt 12 // -> neg
            // Happy path: v >= 0, so we just copy the register
            ; mov V(reg(out_reg)).b16, V(reg(lhs_reg)).b16
            ; b 8 // -> end
            // neg:
            ; fneg V(reg(out_reg)).s4, V(reg(lhs_reg)).s4
            // end:
        )
    }
    fn build_recip(&mut self, out_reg: u8, lhs_reg: u8) {
        dynasm!(self.0.ops
            ; fmul s6, S(reg(lhs_reg)), S(reg(lhs_reg))
            ; fneg s6, s6
            ; dup v6.s4, v6.s[0]
            ; fdiv v7.s4, V(reg(lhs_reg)).s4, v6.s4
            ; fmov s6, 1.0
            ; fdiv s6, s6, S(reg(lhs_reg))
            ; mov V(reg(out_reg)).b16, v7.b16
            ; mov V(reg(out_reg)).s[0], v6.s[0]
        )
    }
    fn build_sqrt(&mut self, out_reg: u8, lhs_reg: u8) {
        dynasm!(self.0.ops
            ; fsqrt s6, S(reg(lhs_reg))
            ; fmov s7, 2.0
            ; fmul s7, s6, s7
            ; dup v7.s4, v7.s[0]
            ; fdiv V(reg(out_reg)).s4, V(reg(lhs_reg)).s4, v7.s4
            ; mov V(reg(out_reg)).S[0], v6.S[0]
        )
    }
    fn build_square(&mut self, out_reg: u8, lhs_reg: u8) {
        dynasm!(self.0.ops
            ; fmov s7, 2.0
            ; dup v7.s4, v7.s[0]
            ; fmov s6, 1.0
            ; mov v7.S[0], v6.S[0]
            // At this point, v7.s4 is [2.0, 2.0, 2.0, 1.0]
            ; fmov w9, S(reg(lhs_reg))
            ; dup v6.s4, w9
            // Now, v6.s4 is [v, v, v, v]
            ; fmul V(reg(out_reg)).s4, v6.s4, V(reg(lhs_reg)).s4
            // out is [v*v, v*dx, v*dy, v*dz]
            ; fmul V(reg(out_reg)).s4, v7.s4, V(reg(out_reg)).s4
            // out is [v*v, 2*v*dx, 2*v*dy, 2*v*dz]
        )
    }

    // TODO hand-write these functions
    fn build_floor(&mut self, out_reg: u8, lhs_reg: u8) {
        extern "C" fn grad_floor(v: Grad) -> Grad {
            v.floor()
        }
        self.call_fn_unary(out_reg, lhs_reg, grad_floor);
    }
    fn build_ceil(&mut self, out_reg: u8, lhs_reg: u8) {
        extern "C" fn grad_ceil(v: Grad) -> Grad {
            v.ceil()
        }
        self.call_fn_unary(out_reg, lhs_reg, grad_ceil);
    }
    fn build_round(&mut self, out_reg: u8, lhs_reg: u8) {
        extern "C" fn grad_round(v: Grad) -> Grad {
            v.round()
        }
        self.call_fn_unary(out_reg, lhs_reg, grad_round);
    }

    fn build_add(&mut self, out_reg: u8, lhs_reg: u8, rhs_reg: u8) {
        dynasm!(self.0.ops
            ; fadd V(reg(out_reg)).s4, V(reg(lhs_reg)).s4, V(reg(rhs_reg)).s4
        )
    }
    fn build_sub(&mut self, out_reg: u8, lhs_reg: u8, rhs_reg: u8) {
        dynasm!(self.0.ops
            ; fsub V(reg(out_reg)).s4, V(reg(lhs_reg)).s4, V(reg(rhs_reg)).s4
        )
    }
    fn build_mul(&mut self, out_reg: u8, lhs_reg: u8, rhs_reg: u8) {
        dynasm!(self.0.ops
            // v6.s4 = [lhs.v, lhs.v, lhs.v, lhs.v]
            ; dup v6.s4, V(reg(lhs_reg)).s[0]

            // v5 = [lhs.v * rhs.v, lhs.v * rhs.dx, lhs.v * rhs.dy, ...]
            ; fmul v5.s4, v6.s4, V(reg(rhs_reg)).s4

            // s7 = lhs.v * rhs.v (copied from v5.s[0])
            ; fmov s7, s5

            // v6.s4 = [rhs.v, rhs.v, rhs.v, rhs.v]
            ; dup v6.s4, V(reg(rhs_reg)).s[0]

            // v5.s4 = [lhs.v * rhs.v + rhs.v * lhs.v,
            //          lhs.v * rhs.dx + rhs.v * lhs.dx,
            //          lhs.v * rhs.dy + rhs.v * lhs.dy,
            //          lhs.v * rhs.dz + rhs.v * lhs.dz]
            // (i.e. everything is right except out.s[0])
            ; fmla v5.s4, v6.s4, V(reg(lhs_reg)).s4

            // Copy stuff into the output register
            ; mov V(reg(out_reg)).b16, v5.b16
            ; mov V(reg(out_reg)).s[0], v7.s[0]
        )
    }

    fn build_div(&mut self, out_reg: u8, lhs_reg: u8, rhs_reg: u8) {
        dynasm!(self.0.ops
            ; fmov w9, S(reg(rhs_reg))
            ; dup v6.s4, w9
            ; fmul v5.s4, v6.s4, V(reg(lhs_reg)).s4
            // At this point, gradients are of the form
            //      rhs.v * lhs.d

            ; fmov w9, S(reg(lhs_reg))
            ; dup v6.s4, w9
            ; fmls v5.s4, v6.s4, V(reg(rhs_reg)).s4
            // At this point, gradients are of the form
            //      rhs.v * lhs.d - lhs.v * rhs.d

            // Divide by rhs.v**2
            ; fmul s6, S(reg(rhs_reg)), S(reg(rhs_reg))
            ; fmov w9, s6
            ; dup v6.s4, w9
            ; fdiv v5.s4, v5.s4, v6.s4

            // Patch in the actual division value
            ; fdiv s6, S(reg(lhs_reg)), S(reg(rhs_reg))
            ; mov V(reg(out_reg)).b16, v5.b16
            ; mov V(reg(out_reg)).s[0], v6.s[0]
        )
    }

    fn build_atan2(&mut self, out_reg: u8, lhs_reg: u8, rhs_reg: u8) {
        extern "C" fn grad_atan2(y: Grad, x: Grad) -> Grad {
            y.atan2(x)
        }
        self.call_fn_binary(out_reg, lhs_reg, rhs_reg, grad_atan2);
    }

    fn build_max(&mut self, out_reg: u8, lhs_reg: u8, rhs_reg: u8) {
        dynasm!(self.0.ops
            ; fcmp S(reg(lhs_reg)), S(reg(rhs_reg))
            ; b.vs 24 // -> NaN
            ; b.gt 12 // -> lhs

            // Happy path: v >= 0, so we just copy the register
            ; mov V(reg(out_reg)).b16, V(reg(rhs_reg)).b16
            ; b 20 // -> end

            // lhs:
            ; mov V(reg(out_reg)).b16, V(reg(lhs_reg)).b16
            ; b 12 // -> end

            // NaN handler
            ; mov w9, f32::NAN.to_bits()
            ; fmov  S(reg(out_reg)), w9
            // end:
        )
    }
    fn build_min(&mut self, out_reg: u8, lhs_reg: u8, rhs_reg: u8) {
        dynasm!(self.0.ops
            ; fcmp S(reg(lhs_reg)), S(reg(rhs_reg))
            ; b.vs 24 // -> NaN
            ; b.lt 12 // -> lhs

            // Happy path: v >= 0, so we just copy the register
            ; mov V(reg(out_reg)).b16, V(reg(rhs_reg)).b16
            ; b 20 // -> end

            // lhs:
            ; mov V(reg(out_reg)).b16, V(reg(lhs_reg)).b16
            ; b 12 // -> end

            // NaN handler
            ; mov w9, f32::NAN.to_bits()
            ; fmov  S(reg(out_reg)), w9
            // end:
        )
    }

    fn build_mod(&mut self, out_reg: u8, lhs_reg: u8, rhs_reg: u8) {
        extern "C" fn grad_modulo(lhs: Grad, rhs: Grad) -> Grad {
            lhs.rem_euclid(rhs)
        }
        self.call_fn_binary(out_reg, lhs_reg, rhs_reg, grad_modulo);
    }

    fn build_not(&mut self, out_reg: u8, arg_reg: u8) {
        dynasm!(self.0.ops
            ; fcmeq s6, S(reg(arg_reg)), 0.0
            ; fmov S(reg(out_reg)), 1.0
            ; and V(reg(out_reg)).b16, V(reg(out_reg)).b16, v6.b16
        );
    }
    fn build_and(&mut self, out_reg: u8, lhs_reg: u8, rhs_reg: u8) {
        dynasm!(self.0.ops
            ; fcmeq s6, S(reg(lhs_reg)), 0.0
            ; dup v6.s4, v6.s[0]
            ; mvn v7.b16, v6.b16
            ; and v6.b16, v6.b16, V(reg(lhs_reg)).b16
            ; and v7.b16, v7.b16, V(reg(rhs_reg)).b16
            ; orr V(reg(out_reg)).b16, v6.b16, v7.b16
        );
    }
    fn build_or(&mut self, out_reg: u8, lhs_reg: u8, rhs_reg: u8) {
        dynasm!(self.0.ops
            ; fcmeq s6, S(reg(lhs_reg)), 0.0
            ; dup v6.s4, v6.s[0]
            ; mvn v7.b16, v6.b16
            ; and v7.b16, v7.b16, V(reg(lhs_reg)).b16
            ; and v6.b16, v6.b16, V(reg(rhs_reg)).b16
            ; orr V(reg(out_reg)).b16, v6.b16, v7.b16
        );
    }

    fn build_compare(&mut self, out_reg: u8, lhs_reg: u8, rhs_reg: u8) {
        dynasm!(self.0.ops
            // Check whether either argument is NAN
            ; fcmeq s6, S(reg(lhs_reg)), S(reg(lhs_reg))
            ; dup v6.s4, v6.s[0]
            ; fcmeq s7, S(reg(rhs_reg)), S(reg(rhs_reg))
            ; dup v7.s4, v7.s[0]
            ; and v6.b16, v6.b16, v7.b16
            ; mvn v6.b16, v6.b16
            // At this point, v6 is all 1s if either argument is NAN

            // build masks for all 1s / all 0s
            ; fcmgt s4, S(reg(rhs_reg)), S(reg(lhs_reg))
            ; dup v4.s4, v4.s[0]
            ; fcmgt s5, S(reg(lhs_reg)), S(reg(rhs_reg))
            ; dup v5.s4, v5.s[0]

            // (lhs < rhs) & [1.0, 0.0, 0.0, 0.0]
            ; fmov s7, -1.0
            ; and V(reg(out_reg)).b16, v4.b16, v7.b16

            ; fmov s7, 1.0
            ; and v5.B16, v5.B16, v7.B16
            ; orr V(reg(out_reg)).B16, V(reg(out_reg)).B16, v5.B16

            // Build NAN mask
            ; mov w9, f32::NAN.to_bits()
            ; fmov s7, w9
            ; and v7.b16, v7.b16, v6.b16

            // Build NAN to output
            ; orr V(reg(out_reg)).B16, V(reg(out_reg)).B16, v7.b16
        )
    }

    /// Loads an immediate into register S4, using W9 as an intermediary
    fn load_imm(&mut self, imm: f32) -> u8 {
        let imm_u32 = imm.to_bits();
        if imm_u32 & 0xFFFF == 0 {
            dynasm!(self.0.ops
                ; movz w9, imm_u32 >> 16, lsl 16
                ; fmov S(IMM_REG), w9
            );
        } else if imm_u32 & 0xFFFF_0000 == 0 {
            dynasm!(self.0.ops
                ; movz w9, imm_u32 & 0xFFFF
                ; fmov S(IMM_REG), w9
            );
        } else {
            dynasm!(self.0.ops
                ; movz w9, imm_u32 >> 16, lsl 16
                ; movk w9, imm_u32 & 0xFFFF
                ; fmov S(IMM_REG), w9
            );
        }
        IMM_REG.wrapping_sub(OFFSET)
    }

    fn finalize(mut self) -> Result<Mmap, DynasmError> {
        dynasm!(self.0.ops
            // update our "items remaining" counter
            ; sub x2, x2, 1 // We handle 1 item at a time

            // Adjust the array offset pointer
            ; add x3, x3, 16 // 1 item = 16 bytes

            ; b ->L // Jump back to the loop start

            ; ->E:
            // This is our finalization code, which happens after all evaluation
            // is complete.
            //
            //
            // Restore frame and link register
            ; ldp   x29, x30, [sp, 0x0]

            // Restore callee-saved floating-point registers
            ; ldp   d8, d9, [sp, 0x10]
            ; ldp   d10, d11, [sp, 0x20]
            ; ldp   d12, d13, [sp, 0x30]
            ; ldp   d14, d15, [sp, 0x40]

            // Restore callee-saved registers (using `ldr` because we're outside
            // the range for `ldp`).  TODO: only do this if the tape contains
            // function calls?
            ; ldr x20, [sp, 0x200]
            ; ldr x21, [sp, 0x208]
            ; ldr x22, [sp, 0x210]
            ; ldr x23, [sp, 0x218]
        );
        self.0.finalize()
    }
}

#[expect(clippy::useless_conversion)]
impl GradSliceAssembler {
    fn call_fn_unary(
        &mut self,
        out_reg: u8,
        arg_reg: u8,
        f: extern "C" fn(Grad) -> Grad,
    ) {
        let addr = f as usize;
        dynasm!(self.0.ops
            // Back up our current state
            ; mov x20, x0
            ; mov x21, x1
            ; mov x22, x2
            ; mov x23, x3

            // We use registers v8-v15 (callee saved, but only lower 64 bytes)
            // and v16-v31 (caller saved)
            // TODO: track which registers are actually used?
            ; stp q8, q9, [sp, 0x50]
            ; stp q10, q11, [sp, 0x70]
            ; stp q12, q13, [sp, 0x90]
            ; stp q14, q15, [sp, 0xb0]
            ; stp q16, q17, [sp, 0xd0]
            ; stp q18, q19, [sp, 0xf0]
            ; stp q20, q21, [sp, 0x110]
            ; stp q22, q23, [sp, 0x130]
            ; stp q24, q25, [sp, 0x150]
            ; stp q26, q27, [sp, 0x170]
            ; stp q28, q29, [sp, 0x190]
            ; stp q30, q31, [sp, 0x1b0]

            // Load the function address, awkwardly, into x0 (it doesn't matter
            // that it can be overwritten, because we're only ever calling it
            // once)
            ; movz x0, (addr >> 48) as u32 & 0xFFFF, lsl 48
            ; movk x0, (addr >> 32) as u32 & 0xFFFF, lsl 32
            ; movk x0, (addr >> 16) as u32 & 0xFFFF, lsl 16
            ; movk x0, addr as u32 & 0xFFFF

            // Prepare to call our stuff!
            ; mov s0, V(reg(arg_reg)).s[0]
            ; mov s1, V(reg(arg_reg)).s[1]
            ; mov s2, V(reg(arg_reg)).s[2]
            ; mov s3, V(reg(arg_reg)).s[3]

            ; blr x0

            // Restore register state (lol)
            ; ldp q8, q9, [sp, 0x50]
            ; ldp q10, q11, [sp, 0x70]
            ; ldp q12, q13, [sp, 0x90]
            ; ldp q14, q15, [sp, 0xb0]
            ; ldp q16, q17, [sp, 0xd0]
            ; ldp q18, q19, [sp, 0xf0]
            ; ldp q20, q21, [sp, 0x110]
            ; ldp q22, q23, [sp, 0x130]
            ; ldp q24, q25, [sp, 0x150]
            ; ldp q26, q27, [sp, 0x170]
            ; ldp q28, q29, [sp, 0x190]
            ; ldp q30, q31, [sp, 0x1b0]

            ; mov V(reg(out_reg)).s[0], v0.s[0]
            ; mov V(reg(out_reg)).s[1], v1.s[0]
            ; mov V(reg(out_reg)).s[2], v2.s[0]
            ; mov V(reg(out_reg)).s[3], v3.s[0]

            // Restore our current state
            ; mov x0, x20
            ; mov x1, x21
            ; mov x2, x22
            ; mov x3, x23
        );
    }

    fn call_fn_binary(
        &mut self,
        out_reg: u8,
        lhs_reg: u8,
        rhs_reg: u8,
        f: extern "C" fn(Grad, Grad) -> Grad,
    ) {
        let addr = f as usize;
        dynasm!(self.0.ops
            // Back up our current state
            ; mov x20, x0
            ; mov x21, x1
            ; mov x22, x2
            ; mov x23, x3

            // Back up X/Y/Z values (TODO use registers here as well?)
            ; stp q0, q1, [sp, 0x1d0]
            ; str q2, [sp, 0x1f0]

            // We use registers v8-v15 (callee saved, but only lower 64 bytes)
            // and v16-v31 (caller saved)
            // TODO: track which registers are actually used?
            ; stp q8, q9, [sp, 0x50]
            ; stp q10, q11, [sp, 0x70]
            ; stp q12, q13, [sp, 0x90]
            ; stp q14, q15, [sp, 0xb0]
            ; stp q16, q17, [sp, 0xd0]
            ; stp q18, q19, [sp, 0xf0]
            ; stp q20, q21, [sp, 0x110]
            ; stp q22, q23, [sp, 0x130]
            ; stp q24, q25, [sp, 0x150]
            ; stp q26, q27, [sp, 0x170]
            ; stp q28, q29, [sp, 0x190]
            ; stp q30, q31, [sp, 0x1b0]

            // Load the function address, awkwardly, into x0 (it doesn't matter
            // that it could be thrashed by the call, since we're only calling
            // it once).
            ; movz x0, (addr >> 48) as u32 & 0xFFFF, lsl 48
            ; movk x0, (addr >> 32) as u32 & 0xFFFF, lsl 32
            ; movk x0, (addr >> 16) as u32 & 0xFFFF, lsl 16
            ; movk x0, addr as u32 & 0xFFFF

            // Prepare to call our stuff!
            ; mov s0, V(reg(lhs_reg)).s[0]
            ; mov s1, V(reg(lhs_reg)).s[1]
            ; mov s2, V(reg(lhs_reg)).s[2]
            ; mov s4, V(reg(rhs_reg)).s[0]
            ; mov s5, V(reg(rhs_reg)).s[1]
            ; mov s6, V(reg(rhs_reg)).s[2]
            ; mov s7, V(reg(rhs_reg)).s[3]

            // We do s3 last because it could be IMM_REG
            ; mov s3, V(reg(lhs_reg)).s[3]

            ; blr x0

            // Restore register state (lol)
            ; ldp q8, q9, [sp, 0x50]
            ; ldp q10, q11, [sp, 0x70]
            ; ldp q12, q13, [sp, 0x90]
            ; ldp q14, q15, [sp, 0xb0]
            ; ldp q16, q17, [sp, 0xd0]
            ; ldp q18, q19, [sp, 0xf0]
            ; ldp q20, q21, [sp, 0x110]
            ; ldp q22, q23, [sp, 0x130]
            ; ldp q24, q25, [sp, 0x150]
            ; ldp q26, q27, [sp, 0x170]
            ; ldp q28, q29, [sp, 0x190]
            ; ldp q30, q31, [sp, 0x1b0]

            // Copy into the out register before restoring v0 (aka q0)
            ; mov V(reg(out_reg)).s[0], v0.s[0]
            ; mov V(reg(out_reg)).s[1], v1.s[0]
            ; mov V(reg(out_reg)).s[2], v2.s[0]
            ; mov V(reg(out_reg)).s[3], v3.s[0]

            // Restore X/Y/Z values
            ; ldp q0, q1, [sp, 0x1d0]
            ; ldr q2, [sp, 0x1f0]

            // Restore our current state
            ; mov x0, x20
            ; mov x1, x21
            ; mov x2, x22
            ; mov x3, x23
        );
    }
}