Skip to content

fill

ill Utilities.

Filling empty regions in KCells with filling cells.

FillOperator

Bases: TileOutputReceiver

Output Receiver of the TilingProcessor.

Source code in src/kfactory/utils/fill.py
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
class FillOperator(kdb.TileOutputReceiver):
    """Output Receiver of the TilingProcessor."""

    def __init__(
        self,
        kcl: KCLayout,
        top_cell: KCell,
        fill_cell_index: int,
        fc_bbox: kdb.Box,
        origin: kdb.Point,
        row_step: kdb.Vector,
        column_step: kdb.Vector,
        fill_margin: kdb.Vector | None = None,
        remaining_polygons: kdb.Region | None = None,
        multi: bool = False,
    ) -> None:
        """Initialize the receiver."""
        if fill_margin is None:
            fill_margin = kdb.Vector(0, 0)
        self.kcl = kcl
        self.top_cell = top_cell
        self.fill_cell_index = fill_cell_index
        self.fc_bbox = fc_bbox
        self.row_step = row_step
        self.column_step = column_step
        self.fill_margin = fill_margin
        self.remaining_polygons = remaining_polygons
        self.multi = multi
        self.origin = origin
        self.filled_cells: list[kdb.Cell] = []
        self.temp_ly = kdb.Layout()
        self.temp_tc = self.temp_ly.create_cell(top_cell.name)
        fc = kcl.layout.cell(fill_cell_index)
        self.temp_fc = self.temp_ly.create_cell(fc.name)
        self.temp_fc_ind = self.temp_fc.cell_index()
        self.temp_fc.copy_tree(fc)
        self.temp_ly.start_changes()

    def put(
        self,
        ix: int,
        iy: int,
        tile: kdb.Box,
        region: kdb.Region,
        dbu: float,
        clip: bool,
    ) -> None:
        """Called by the TilingProcessor."""
        if self.multi:
            self.temp_tc.fill_region_multi(
                region=region,
                fill_cell_index=self.temp_fc_ind,
                fc_bbox=self.fc_bbox,
                row_step=self.row_step,
                column_step=self.column_step,
                fill_margin=kdb.Vector(
                    self.row_step.x - self.fc_bbox.width(),
                    self.column_step.y - self.fc_bbox.height(),
                ),
                remaining_polygons=None,
                glue_box=tile,
            )
        else:
            self.temp_tc.fill_region(
                region=region,
                fill_cell_index=self.temp_fc_ind,
                fc_bbox=self.fc_bbox,
                row_step=self.row_step,
                column_step=self.column_step,
                origin=self.origin,
                remaining_parts=None,
                fill_margin=self.fill_margin,
                remaining_polygons=None,
                glue_box=tile,
            )

    def insert_fill(self) -> None:
        """Insert fill cell into the regions."""
        self.temp_ly.end_changes()
        for inst in self.temp_tc.each_inst():
            cell_inst_array = inst.cell_inst
            cell_inst_array.cell_index = self.fill_cell_index
            self.top_cell.insert(cell_inst_array)

__init__

__init__(
    kcl: KCLayout,
    top_cell: KCell,
    fill_cell_index: int,
    fc_bbox: Box,
    origin: Point,
    row_step: Vector,
    column_step: Vector,
    fill_margin: Vector | None = None,
    remaining_polygons: Region | None = None,
    multi: bool = False,
) -> None

Initialize the receiver.

Source code in src/kfactory/utils/fill.py
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
def __init__(
    self,
    kcl: KCLayout,
    top_cell: KCell,
    fill_cell_index: int,
    fc_bbox: kdb.Box,
    origin: kdb.Point,
    row_step: kdb.Vector,
    column_step: kdb.Vector,
    fill_margin: kdb.Vector | None = None,
    remaining_polygons: kdb.Region | None = None,
    multi: bool = False,
) -> None:
    """Initialize the receiver."""
    if fill_margin is None:
        fill_margin = kdb.Vector(0, 0)
    self.kcl = kcl
    self.top_cell = top_cell
    self.fill_cell_index = fill_cell_index
    self.fc_bbox = fc_bbox
    self.row_step = row_step
    self.column_step = column_step
    self.fill_margin = fill_margin
    self.remaining_polygons = remaining_polygons
    self.multi = multi
    self.origin = origin
    self.filled_cells: list[kdb.Cell] = []
    self.temp_ly = kdb.Layout()
    self.temp_tc = self.temp_ly.create_cell(top_cell.name)
    fc = kcl.layout.cell(fill_cell_index)
    self.temp_fc = self.temp_ly.create_cell(fc.name)
    self.temp_fc_ind = self.temp_fc.cell_index()
    self.temp_fc.copy_tree(fc)
    self.temp_ly.start_changes()

insert_fill

insert_fill() -> None

Insert fill cell into the regions.

Source code in src/kfactory/utils/fill.py
93
94
95
96
97
98
99
def insert_fill(self) -> None:
    """Insert fill cell into the regions."""
    self.temp_ly.end_changes()
    for inst in self.temp_tc.each_inst():
        cell_inst_array = inst.cell_inst
        cell_inst_array.cell_index = self.fill_cell_index
        self.top_cell.insert(cell_inst_array)

put

put(
    ix: int,
    iy: int,
    tile: Box,
    region: Region,
    dbu: float,
    clip: bool,
) -> None

Called by the TilingProcessor.

Source code in src/kfactory/utils/fill.py
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
def put(
    self,
    ix: int,
    iy: int,
    tile: kdb.Box,
    region: kdb.Region,
    dbu: float,
    clip: bool,
) -> None:
    """Called by the TilingProcessor."""
    if self.multi:
        self.temp_tc.fill_region_multi(
            region=region,
            fill_cell_index=self.temp_fc_ind,
            fc_bbox=self.fc_bbox,
            row_step=self.row_step,
            column_step=self.column_step,
            fill_margin=kdb.Vector(
                self.row_step.x - self.fc_bbox.width(),
                self.column_step.y - self.fc_bbox.height(),
            ),
            remaining_polygons=None,
            glue_box=tile,
        )
    else:
        self.temp_tc.fill_region(
            region=region,
            fill_cell_index=self.temp_fc_ind,
            fc_bbox=self.fc_bbox,
            row_step=self.row_step,
            column_step=self.column_step,
            origin=self.origin,
            remaining_parts=None,
            fill_margin=self.fill_margin,
            remaining_polygons=None,
            glue_box=tile,
        )

SparseFillOperator

Bases: TileOutputReceiver

Output Receiver of the TilingProcessor.

Source code in src/kfactory/utils/fill.py
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
class SparseFillOperator(kdb.TileOutputReceiver):
    """Output Receiver of the TilingProcessor."""

    def __init__(self) -> None:
        """Initialize the receiver."""
        self.f_region = kdb.Region()

    def put(
        self,
        ix: int,
        iy: int,
        tile: kdb.Box,
        region: kdb.Region,
        dbu: float,
        clip: bool,
    ) -> None:
        """Called by the TilingProcessor."""

        self.f_region.insert(region)

__init__

__init__() -> None

Initialize the receiver.

Source code in src/kfactory/utils/fill.py
105
106
107
def __init__(self) -> None:
    """Initialize the receiver."""
    self.f_region = kdb.Region()

put

put(
    ix: int,
    iy: int,
    tile: Box,
    region: Region,
    dbu: float,
    clip: bool,
) -> None

Called by the TilingProcessor.

Source code in src/kfactory/utils/fill.py
109
110
111
112
113
114
115
116
117
118
119
120
def put(
    self,
    ix: int,
    iy: int,
    tile: kdb.Box,
    region: kdb.Region,
    dbu: float,
    clip: bool,
) -> None:
    """Called by the TilingProcessor."""

    self.f_region.insert(region)

add_coverage

add_coverage(
    c: ProtoTKCell[Any],
    max_distance: um,
    coverage_cell: ProtoTKCell[Any],
    coverage_layers: Iterable[tuple[LayerInfo, um]] = [],
    coverage_regions: Iterable[tuple[Region, um]] = [],
    avoid_layers: Iterable[tuple[LayerInfo, um]] = [],
    avoid_regions: Iterable[tuple[Region, um]] = [],
    n_threads: int | None = None,
    tile_size: tuple[um, um] = (500, 500),
    fill_box_sizing: tuple[um, um] = (50, 25),
) -> None

Cover a Cell with metrology or similar structures.

These structures usually don't require the same

Parameters:

Name Type Description Default
c ProtoTKCell[Any]

Target cell.

required
coverage_cell ProtoTKCell[Any]

The cell used as a cell to fill the regions.

required
coverage_layers Iterable[tuple[LayerInfo, um]]

Tuples of layer and keepout w.r.t. the regions.

[]
coverage_regions Iterable[tuple[Region, um]]

Specific regions to fill. Also tuples like the layers.

[]
avoid_layers Iterable[tuple[LayerInfo, um]]

Layers to ignore. Tuples like the coverage layers

[]
avoid_regions Iterable[tuple[Region, um]]

Specific regions to ignore. Tuples like the fill layers.

[]
n_threads int | None

Max number of threads used. Defaults to number of cores of the machine.

None
tile_size tuple[um, um]

Size of the tiles in um.

(500, 500)
Source code in src/kfactory/utils/fill.py
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
def add_coverage(
    c: ProtoTKCell[Any],
    max_distance: um,
    coverage_cell: ProtoTKCell[Any],
    coverage_layers: Iterable[tuple[kdb.LayerInfo, um]] = [],
    coverage_regions: Iterable[tuple[kdb.Region, um]] = [],
    avoid_layers: Iterable[tuple[kdb.LayerInfo, um]] = [],
    avoid_regions: Iterable[tuple[kdb.Region, um]] = [],
    n_threads: int | None = None,
    tile_size: tuple[um, um] = (500, 500),
    fill_box_sizing: tuple[um, um] = (50, 25),
) -> None:
    """Cover a Cell with metrology or similar structures.

    These structures usually don't require the same

    Args:
        c: Target cell.
        coverage_cell: The cell used as a cell to fill the regions.
        coverage_layers: Tuples of layer and keepout w.r.t. the regions.
        coverage_regions: Specific regions to fill. Also tuples like the layers.
        avoid_layers: Layers to ignore. Tuples like the coverage layers
        avoid_regions: Specific regions to ignore. Tuples like the fill layers.
        n_threads: Max number of threads used. Defaults to number of cores of the
            machine.
        tile_size: Size of the tiles in um.
    """
    c = KCell(base=c.base)
    coverage_cell = KCell(base=coverage_cell.base)
    if n_threads is None:
        n_threads = config.n_threads
    tp = kdb.TilingProcessor()
    dbb = c.dbbox()
    for r, ext in coverage_regions:
        dbb += r.bbox().to_dtype(c.kcl.dbu).enlarged(ext)
    tp.frame = dbb  # type: ignore[assignment, misc]
    tp.dbu = c.kcl.dbu
    tp.threads = n_threads

    tp.tile_size(*tile_size)
    _border = max(
        s[1]
        for s in chain(coverage_regions, avoid_regions, avoid_layers, coverage_layers)
    ) + c.kcl.to_um(1)
    tp.tile_border(_border, _border)

    layer_names: list[str] = []
    for _layer, _ in coverage_layers:
        layer_name = (
            f"layer{_layer.name}"
            if _layer.is_named()
            else f"layer_{_layer.layer}_{_layer.datatype}"
        )
        tp.input(layer_name, c.kcl.layout, c.cell_index(), _layer)
        layer_names.append(layer_name)

    region_names: list[str] = []
    for i, (r, _) in enumerate(coverage_regions):
        region_name = f"coverage_region{i}"
        tp.input(region_name, r)
        region_names.append(region_name)

    exlayer_names: list[str] = []
    for _layer, _ in avoid_layers:
        layer_name = (
            f"layer{_layer.name}"
            if _layer.is_named()
            else f"layer_{_layer.layer}_{_layer.datatype}"
        )
        tp.input(layer_name, c.kcl.layout, c.cell_index(), _layer)
        exlayer_names.append(layer_name)

    avoid_region_names: list[str] = []
    for i, (r, _) in enumerate(avoid_regions):
        region_name = f"avoid_region{i}"
        tp.input(region_name, r)
        avoid_region_names.append(region_name)

    placement_operator = SparseFillOperator()
    tp.output(
        "placement",
        placement_operator,
    )
    cover_operator = SparseFillOperator()
    tp.output(
        "cover_area",
        cover_operator,
    )

    if layer_names or region_names:
        avoid_layers_str = " + ".join(
            [
                layer_name + f".sized({c.kcl.to_dbu(size)})" if size else layer_name
                for layer_name, (_, size) in zip(
                    exlayer_names, avoid_layers, strict=True
                )
            ]
        )
        avoid_regions_str = " + ".join(
            [
                region_name + f".sized({c.kcl.to_dbu(size)})" if size else region_name
                for region_name, (_, size) in zip(
                    avoid_region_names, avoid_regions, strict=True
                )
            ]
        )
        coverage_layers_str = " + ".join(
            [
                layer_name + f".sized({c.kcl.to_dbu(size)})" if size else layer_name
                for layer_name, (_, size) in zip(
                    layer_names, coverage_layers, strict=True
                )
            ]
        )
        coverage_regions_str = " + ".join(
            [
                region_name + f".sized({c.kcl.to_dbu(size)})" if size else region_name
                for region_name, (_, size) in zip(
                    region_names, coverage_regions, strict=True
                )
            ]
        )

        if exlayer_names or avoid_region_names:
            queue_str = (
                "var cover = "
                + (
                    f"{coverage_layers_str} + {coverage_regions_str}"
                    if coverage_layers_str and coverage_regions_str
                    else coverage_layers_str + coverage_regions_str
                )
                + "; var avoid = "
                + (
                    f"{avoid_layers_str} + {avoid_regions_str}"
                    if avoid_regions_str and avoid_layers_str
                    else avoid_regions_str + avoid_layers_str
                )
                + "; var placement_region = "
                "((_tile & _frame & cover) - (_tile & _frame & avoid))"
                f".with_bbox_min(nil, {c.kcl.to_dbu(fill_box_sizing[1] * 2)}, true)"
                ".decompose_convex_to_region()"
                "; placement_region.merged_semantics = false; "
                "placement_region = placement_region"
                f".with_bbox_min(nil, {c.kcl.to_dbu(fill_box_sizing[1] * 2)}, true)"
                "; placement_region.merge()"
                "; _output(placement, placement_region); "
                "_output(cover_area, _tile & _frame & cover)"
            )
        else:
            queue_str = (
                "var cover = "
                + (
                    f"{coverage_layers_str} + {coverage_regions_str}"
                    if coverage_regions_str and coverage_layers_str
                    else coverage_regions_str + coverage_layers_str
                )
                + "; cover; var cov_region = _tile & _frame & cover; "
                " _output(to_cover, cov_region)"
            )
        tp.queue(queue_str)
        c.kcl.start_changes()
        try:
            logger.debug(
                "Adding coverage on '{}' with '{}'",
                c.kcl.future_cell_name or c.name,
                coverage_cell.name,
            )
            logger.debug("Coverage string: '{}'", queue_str)
            tp.execute(f"Calculating sparse coverage for {c.name}")
            c.kcl.end_changes()
            logger.debug("done with calculating coverage regions for {}", c.name)
            cover(
                top_cell=c,
                fill_cell=coverage_cell,
                margin=c.kcl.to_dbu(max_distance),
                placement_region=placement_operator.f_region,
                cover_region=cover_operator.f_region,
                fc_bbox_sizing=(
                    c.kcl.to_dbu(fill_box_sizing[0]),
                    c.kcl.to_dbu(fill_box_sizing[1]),
                ),
            )
        except RuntimeError:
            c.kcl.end_changes()
            raise

cover

cover(
    top_cell: KCell,
    fill_cell: KCell,
    margin: int,
    placement_region: Region,
    cover_region: Region,
    fc_bbox_sizing: tuple[int, int],
) -> None

Insert sparse cell into the regions.

Source code in src/kfactory/utils/fill.py
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
def cover(
    top_cell: KCell,
    fill_cell: KCell,
    margin: int,
    placement_region: kdb.Region,
    cover_region: kdb.Region,
    fc_bbox_sizing: tuple[int, int],
) -> None:
    """Insert sparse cell into the regions."""

    logger.debug(
        "Applying static sparse fill to {cell} with {fc} at {margin} static spacing",
        cell=top_cell.name,
        fc=fill_cell.name,
        margin=margin,
    )

    if fc_bbox_sizing[1] > fc_bbox_sizing[0]:
        logger.warning(
            "fill_cell_sizing for the second step should be smaller than the first {}",
            fc_bbox_sizing,
        )

    fill_cell_index = fill_cell.cell_index()

    margin_vec = kdb.Vector(margin, margin)
    logger.debug(f"{margin_vec=}")

    logger.debug("Adding base coverage to {}", top_cell.name)
    fc_bbox = fill_cell.bbox().enlarged(fc_bbox_sizing[0])
    coverage = _get_coverage(top_cell, fill_cell_index, margin)
    logger.debug("Filling uncovered region")
    to_place = placement_region.merged()
    to_place.merged_semantics = True
    to_place.merge()
    top_cell.kdb_cell.fill_region(
        region=to_place.with_area(margin**2 // 4, None, False),
        fill_cell_index=fill_cell_index,
        fc_bbox=fc_bbox,
        fill_margin=margin_vec,
        row_step=kdb.Vector(margin, 0),
        column_step=kdb.Vector(0, margin),
        exclude_area=coverage,
        origin=None,
        remaining_parts=to_place,
    )
    to_place -= _get_coverage(top_cell, fill_cell_index, margin)
    top_cell.kdb_cell.fill_region(
        region=to_place,
        fill_cell_index=fill_cell_index,
        fc_bbox=fc_bbox,
        fill_margin=margin_vec,
        row_step=kdb.Vector(margin, 0),
        column_step=kdb.Vector(0, margin),
        exclude_area=coverage,
        origin=None,
        remaining_parts=to_place,
    )
    coverage = _get_coverage(top_cell, fill_cell_index, margin)
    cover_region = cover_region.merged()

    new_placement_options = (
        (cover_region - coverage).size(margin // 4) & cover_region
    ) & placement_region

    while not new_placement_options.is_empty():
        logger.debug("Filling remaining area ({})", new_placement_options.area())
        top_cell.kdb_cell.fill_region(
            region=new_placement_options,
            fill_cell_index=fill_cell_index,
            fc_bbox=fill_cell.bbox().enlarged(fc_bbox_sizing[1]),
            fill_margin=margin_vec,
            row_step=kdb.Vector(margin, 0),
            column_step=kdb.Vector(0, margin),
            origin=None,
            remaining_parts=new_placement_options,
        )
        coverage = _get_coverage(top_cell, fill_cell_index, margin)
        new_placement_options = (
            (cover_region - coverage).size(margin // 4) & cover_region
        ) & placement_region

    logger.debug("Finished simple sparse fill calculations")

    if not (cover_region - coverage).is_empty():
        logger.warning("Sparse fill for {} was not successful", top_cell.name)

fill_tiled

fill_tiled(
    c: ProtoTKCell[Any],
    fill_cell: ProtoTKCell[Any],
    fill_layers: Iterable[tuple[LayerInfo, um]] = [],
    fill_regions: Iterable[tuple[Region, um]] = [],
    exclude_layers: Iterable[tuple[LayerInfo, um]] = [],
    exclude_regions: Iterable[tuple[Region, um]] = [],
    n_threads: int | None = None,
    tile_size: tuple[um, um] | None = None,
    row_step: DVector | None = None,
    col_step: DVector | None = None,
    x_space: um = 0,
    y_space: um = 0,
    tile_border: tuple[um, um] = (20, 20),
    multi: bool = False,
) -> None

Fill a KCell.

Parameters:

Name Type Description Default
c ProtoTKCell[Any]

Target cell.

required
fill_cell ProtoTKCell[Any]

The cell used as a cell to fill the regions.

required
fill_layers Iterable[tuple[LayerInfo, um]]

Tuples of layer and keepout w.r.t. the regions.

[]
fill_regions Iterable[tuple[Region, um]]

Specific regions to fill. Also tuples like the layers.

[]
exclude_layers Iterable[tuple[LayerInfo, um]]

Layers to ignore. Tuples like the fill layers

[]
exclude_regions Iterable[tuple[Region, um]]

Specific regions to ignore. Tuples like the fill layers.

[]
n_threads int | None

Max number of threads used. Defaults to number of cores of the machine.

None
tile_size tuple[um, um] | None

Size of the tiles in um.

None
row_step DVector | None

DVector for steping to the next instance position in the row. x-coordinate must be >= 0.

None
col_step DVector | None

DVector for steping to the next instance position in the column. y-coordinate must be >= 0.

None
x_space um

Spacing between the fill cell bounding boxes in x-direction.

0
y_space um

Spacing between the fill cell bounding boxes in y-direction.

0
tile_border tuple[um, um]

The tile border to consider for excludes

(20, 20)
multi bool

Use the region_fill_multi strategy instead of single fill.

False
Source code in src/kfactory/utils/fill.py
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
def fill_tiled(
    c: ProtoTKCell[Any],
    fill_cell: ProtoTKCell[Any],
    fill_layers: Iterable[tuple[kdb.LayerInfo, um]] = [],
    fill_regions: Iterable[tuple[kdb.Region, um]] = [],
    exclude_layers: Iterable[tuple[kdb.LayerInfo, um]] = [],
    exclude_regions: Iterable[tuple[kdb.Region, um]] = [],
    n_threads: int | None = None,
    tile_size: tuple[um, um] | None = None,
    row_step: kdb.DVector | None = None,
    col_step: kdb.DVector | None = None,
    x_space: um = 0,
    y_space: um = 0,
    tile_border: tuple[um, um] = (20, 20),
    multi: bool = False,
) -> None:
    """Fill a [KCell][kfactory.kcell.KCell].

    Args:
        c: Target cell.
        fill_cell: The cell used as a cell to fill the regions.
        fill_layers: Tuples of layer and keepout w.r.t. the regions.
        fill_regions: Specific regions to fill. Also tuples like the layers.
        exclude_layers: Layers to ignore. Tuples like the fill layers
        exclude_regions: Specific regions to ignore. Tuples like the fill layers.
        n_threads: Max number of threads used. Defaults to number of cores of the
            machine.
        tile_size: Size of the tiles in um.
        row_step: DVector for steping to the next instance position in the row.
            x-coordinate must be >= 0.
        col_step: DVector for steping to the next instance position in the column.
            y-coordinate must be >= 0.
        x_space: Spacing between the fill cell bounding boxes in x-direction.
        y_space: Spacing between the fill cell bounding boxes in y-direction.
        tile_border: The tile border to consider for excludes
        multi: Use the region_fill_multi strategy instead of single fill.
    """
    c = KCell(base=c.base)
    fill_cell = KCell(base=fill_cell.base)
    if n_threads is None:
        n_threads = config.n_threads
    tp = kdb.TilingProcessor()
    dbb = c.dbbox()
    for r, ext in fill_regions:
        dbb += r.bbox().to_dtype(c.kcl.dbu).enlarged(ext)
    tp.frame = dbb  # type: ignore[assignment, misc]
    tp.dbu = c.kcl.dbu
    tp.threads = n_threads

    if tile_size is None:
        tile_size = (
            100 * (fill_cell.dbbox().width() + x_space),
            100 * (fill_cell.dbbox().height() + y_space),
        )
    tp.tile_size(*tile_size)
    tp.tile_border(*tile_border)

    layer_names: list[str] = []
    for _layer, _ in fill_layers:
        layer_name = (
            f"layer{_layer.name}"
            if _layer.is_named()
            else f"layer_{_layer.layer}_{_layer.datatype}"
        )
        tp.input(layer_name, c.kcl.layout, c.cell_index(), _layer)
        layer_names.append(layer_name)

    region_names: list[str] = []
    for i, (r, _) in enumerate(fill_regions):
        region_name = f"region{i}"
        tp.input(region_name, r)
        region_names.append(region_name)

    exlayer_names: list[str] = []
    for _layer, _ in exclude_layers:
        layer_name = (
            f"layer{_layer.name}"
            if _layer.is_named()
            else f"layer_{_layer.layer}_{_layer.datatype}"
        )
        tp.input(layer_name, c.kcl.layout, c.cell_index(), _layer)
        exlayer_names.append(layer_name)

    exregion_names: list[str] = []
    for i, (r, _) in enumerate(exclude_regions):
        region_name = f"region{i}"
        tp.input(region_name, r)
        exregion_names.append(region_name)

    if row_step is None:
        row_step_ = c.kcl.to_dbu(kdb.DVector(fill_cell.dbbox().width() + x_space, 0))
    else:
        row_step_ = c.kcl.to_dbu(row_step)
    if col_step is None:
        col_step_ = c.kcl.to_dbu(kdb.DVector(0, fill_cell.dbbox().height() + y_space))
    else:
        col_step_ = c.kcl.to_dbu(col_step)
    fc_bbox = fill_cell.bbox()
    operator = FillOperator(
        c.kcl,
        c,
        fill_cell.cell_index(),
        fc_bbox=fc_bbox,
        row_step=row_step_,
        column_step=col_step_,
        origin=c.bbox().p1,
    )
    tp.output(
        "to_fill",
        operator,
    )

    if layer_names or region_names:
        exlayers = " + ".join(
            [
                layer_name + f".sized({c.kcl.to_dbu(size)})" if size else layer_name
                for layer_name, (_, size) in zip(
                    exlayer_names, exclude_layers, strict=False
                )
            ]
        )
        exregions = " + ".join(
            [
                region_name + f".sized({c.kcl.to_dbu(size)})" if size else region_name
                for region_name, (_, size) in zip(
                    exregion_names, exclude_regions, strict=False
                )
            ]
        )
        layers = " + ".join(
            [
                layer_name + f".sized({c.kcl.to_dbu(size)})" if size else layer_name
                for layer_name, (_, size) in zip(layer_names, fill_layers, strict=False)
            ]
        )
        regions = " + ".join(
            [
                region_name + f".sized({c.kcl.to_dbu(size)})" if size else region_name
                for region_name, (_, size) in zip(
                    region_names, fill_regions, strict=False
                )
            ]
        )

        if exlayer_names or exregion_names:
            queue_str = (
                "var fill= "
                + (f"{layers} + {regions}" if regions and layers else regions + layers)
                + "; var exclude = "
                + (
                    f"{exlayers} + {exregions}"
                    if exregions and exlayers
                    else exregions + exlayers
                )
                + "; var fill_region = _tile.minkowski_sum(Box.new("
                f"0,0,{fc_bbox.width() - 1},{fc_bbox.height() - 1}))"
                " & _frame & fill - exclude; _output(to_fill, fill_region)"
            )
        else:
            queue_str = (
                "var fill= "
                + (f"{layers} + {regions}" if regions and layers else regions + layers)
                + "; var fill_region = _tile.minkowski_sum(Box.new("
                f"0,0,{fc_bbox.width() - 1},{fc_bbox.height() - 1}))"
                " & _frame & fill;"
                " _output(to_fill, fill_region)"
            )
        tp.queue(queue_str)
        c.kcl.start_changes()
        try:
            logger.debug(
                "Filling {} with {}", c.kcl.future_cell_name or c.name, fill_cell.name
            )
            logger.debug("Fill string: '{}'", queue_str)
            tp.execute(f"Fill {c.name}")
            logger.debug("done with calculating fill regions for {}", c.name)
            operator.insert_fill()
        finally:
            c.kcl.end_changes()