plotdevice/plotdevice/gfx/geometry.py at main · plotdevice/plotdevice · GitHub

Repository navigation

History

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

# encoding: utf-8

import os

import re

import json

import warnings

import math

from operator import neg

from ..lib.cocoa import *

from plotdevice import DeviceError

from ..util import trim_zeroes, numlike

from ..lib import pathmatics

_ctx = None

__all__ = [

"DEGREES", "RADIANS", "PERCENT",

"px", "inch", "pica", "cm", "mm", "pi", "tau",

"Point", "Size", "Region",

"Transform", "CENTER", "CORNER",

]

# transform modes

CENTER = "center"

CORNER = "corner"

# rotation modes

DEGREES = "degrees"

RADIANS = "radians"

PERCENT = "percent"

# maths

pi = math.pi

tau = 2*pi

### tuple-like objects for grid dimensions ###

def paired(func):

def to_pair(self, other=None):

if other is None:

return self.__class__(func(self))

if numlike(other):

other = self.__class__(other, other)

elif not isinstance(other, self.__class__):

other = self.__class__(other)

return self.__class__(func(self, other))

return to_pair

class Pair(object):

"""Base class for Point & Size objects (with basic arithmetic support)"""

__slots__ = '_a', '_b'

__hash__ = None

def __iter__(self):

# allow for assignments like: x,y = Point()

yield self._a

yield self._b

def __eq__(self, other):

try:

return all(a==b for a,b in zip(self, other))

except:

return False

def __ne__(self, other):

return not self.__eq__(other)

@paired

def __abs__(self): return list(map(abs, self))

@paired

def __pos__(self): return self

@paired

def __neg__(self): return list(map(neg, self))

@paired

def __add__(self, other): return list(map(sum, list(zip(self, other))))

@paired

def __radd__(self, other): return list(map(sum, list(zip(self, other))))

@paired

def __sub__(self, other): return list(map(sum, list(zip(self, -other))))

@paired

def __rsub__(self, other): return list(map(sum, list(zip(other, -self))))

@paired

def __mul__(self, other): return [a * b for a,b in zip(self, other)]

@paired

def __rmul__(self, other): return [b * a for a,b in zip(self, other)]

@paired

def __div__(self, other): return [a / b for a,b in zip(self, other)]

@paired

def __rdiv__(self, other): return [b / a for a,b in zip(self, other)]

@paired

def __floordiv__(self, other): return [a // b for a,b in zip(self, other)]

@paired

def __rfloordiv__(self, other): return [b // a for a,b in zip(self, other)]

@paired

def __truediv__(self, other): return [a / b for a,b in zip(self, other)]

@paired

def __rtruediv__(self, other): return [a / b for a,b in zip(self, other)]

def copy(self):

return self.__class__(self)

class Point(Pair):

"""Represents a 2D location with `x` and `y` properties"""

__slots__ = ()

def __init__(self, *vals, **kwargs):

if len(vals) == 2:

self.x, self.y = vals

elif vals:

try:

self.x, self.y = vals[0]

except:

baddims = 'Point requires a single coordinate pair'

raise DeviceError(baddims)

else:

# kwargs will only be used if there are no positional args

self.x = kwargs.get('x', 0)

self.y = kwargs.get('y', 0)

@trim_zeroes

def __repr__(self):

return "Point(%.3f, %.3f)" % (self.x, self.y)

# lib.pathmatics methods (accept either x,y pairs or Point args)

def angle(self, x=0, y=0):

if isinstance(x, Point):

x, y = iter(x)

theta = pathmatics.angle(self.x, self.y, x, y)

basis={DEGREES:360.0, RADIANS:2*pi, PERCENT:1.0}

return (theta*basis[_ctx._thetamode])/basis[DEGREES]

def distance(self, x=0, y=0):

if isinstance(x, Point):

x, y = iter(x)

return pathmatics.distance(self.x, self.y, x, y)

def reflect(self, *args, **kwargs):

d = kwargs.get('d', 1.0)

a = kwargs.get('a', 180)

if isinstance(args[0], Point):

(x,y), opts = args[0], args[1:]

else:

(x,y), opts = args[:2], args[2:]

if opts:

d=opts[0]

if opts[1:]:

a=opts[1]

return Point(pathmatics.reflect(self.x, self.y, x, y, d, a))

def coordinates(self, distance, angle):

angle = _ctx._angle(angle, DEGREES)

return Point(pathmatics.coordinates(self.x, self.y, distance, angle))

def _get_x(self):

return self._a

def _set_x(self, x):

if not numlike(x):

raise DeviceError('Point: x coordinate must be int or float (not %r)'%type(x))

self._a = float(x)

x = property(_get_x, _set_x)

def _get_y(self):

return self._b

def _set_y(self, y):

if not numlike(y):

raise DeviceError('Point: y coordinate must be int or float (not %r)'%type(y))

self._b = float(y)

y = property(_get_y, _set_y)

class Size(Pair):

"""Represents a 2D area with `width` and `height` properties"""

__slots__ = ()

def __init__(self, *vals, **kwargs):

if len(vals) == 2:

self.w, self.h = vals

elif vals:

try:

self.w, self.h = vals[0]

except:

baddims = 'Size requires a single coordinate pair'

raise DeviceError(baddims)

else:

# kwargs will only be used if there are no positional args

kwargs = {k[0]:v for k,v in kwargs.items()}

self.w = kwargs.get('w', 0)

self.h = kwargs.get('h', 0)

@trim_zeroes

def __repr__(self):

return "Size(%.3f, %.3f)" % (self.w, self.h)

def _get_w(self):

return self._a

def _set_w(self, w):

if not numlike(w) and w is not None:

raise DeviceError('Size: width must be an int or float (not %r)'%type(w))

elif w:

w = float(w)

self._a = w

w = width = property(_get_w, _set_w)

def _get_h(self):

return self._b

def _set_h(self, h):

if not numlike(h) and h is not None:

raise DeviceError('Size: height must be an int or float (not %r)'%type(h))

elif h:

h = float(h)

self._b = h

h = height = property(_get_h, _set_h)

class Region(object):

"""Represents a rectangular region combining a Point and a Size (as `origin` and `size`)

Syntax:

Region(x, y, w, h)

Region(x, y, Size)

Region(Point, x, y)

Region(Point, Size)

"""

__slots__ = ('_origin', '_size')

opts = ('x','y','w','h','width','height')

def __init__(self, *args, **kwargs):

self._origin = Point()

self._size = Size()

# process the positional args

self._parse(args)

# allow kwargs to override

for k,v in kwargs.items():

if k not in Region.opts:

badarg = 'Valid args for Region are %s (not %r)' % ("/".join(Region.opts), k)

raise DeviceError(badarg)

setattr(self, k[0], v)

def _parse(self, coords):

"""Look for a Point and Size (or at least a Point and width-val) in an arg array

Any valid coordinates found in the `coords` will be merged into the object's current

measurements. If invalid syntax was used, raises a DeviceError"""

# return immediately if there's nothing to do or everything's prepared

if coords:

if isinstance(coords[0], (Region, NSRect)):

self.origin, self.size = coords[0]

return

# try to unpack a full rect or at least an origin from the args

try:

self.origin, self.size = parse_coords(coords, [Point,Size])

except Exception as e_orig:

try:

self.origin, self.width = parse_coords(coords, [Point,float])

except:

try:

self.origin = parse_coords(coords, [Point])

except:

raise e_orig

@trim_zeroes

def __repr__(self):

vals = [getattr(self, attr) for attr in ('x','y','w','h')]

dims = ["%.3f"%d if numlike(d) else repr(d) for d in vals]

return 'Region(x=%s, y=%s, w=%s, h=%s)' % tuple(dims)

def __eq__(self, other):

if other is None: return False

other = Region(other)

return self.origin==other.origin and self.size==other.size

def __ne__(self, other):

return not self.__eq__(other)

def __iter__(self):

# allow for assignments like: (x,y), (w,h) = Region()

return iter([self.origin, self.size])

def __hash__(self):

return hash(tuple(getattr(self, attr) for attr in ('x','y','w','h')))

def union(self, *args):

"""Return a new Region which fully encloses the existing Region and the arguments"""

other = Region(*args)

return Region(NSUnionRect(self, other))

def intersect(self, *args):

"""Return a new Region with the in-common portion of this Region and the arguments"""

other = Region(*args)

return Region(NSIntersectionRect(self, other))

def shift(self, dx, dy=None):

"""Return a new Region whose origin is shifted by dx/dy or a Point object"""

try: dx, dy = dx # accept an x/y tuple as 1st arg

except: dy = dx if dy is None else dy # also accept a single float and copy it

return Region(NSOffsetRect(self, dx, dy))

def inset(self, dx, dy=None):

"""Return a new Region whose edges are moved `inward' by dx/dy or a Point/Size object"""

try: dx, dy = dx # accept an x/y tuple as 1st arg

except: dy = dx if dy is None else dy # also accept a single float and copy it

return Region(NSInsetRect(self, dx, dy))

def copy(self):

return Region(self)

def _get_origin(self):

return self._origin

def _set_origin(self, pt):

self._origin = Point(pt)

origin = property(_get_origin, _set_origin)

def _get_x(self):

return self._origin.x

def _set_x(self, x):

self._origin.x = x

x = property(_get_x, _set_x)

def _get_left(self):

return self._origin.x

def _set_left(self, left):

self._origin.x = left

self._size.w += self._origin.x - left

l = left = property(_get_left, _set_left)

def _get_y(self):

return self._origin.y

def _set_y(self, y):

self._origin.y = y

y = property(_get_y, _set_y)

def _get_top(self):

return self._origin.y

def _set_top(self, top):

self._origin.y = top

self._size.h += self._origin.y - top

t = top = property(_get_top, _set_top)

def _get_size(self):

return self._size

def _set_size(self, dims):

self._size = Size(dims)

size = property(_get_size, _set_size)

def _get_w(self):

return self._size.w

def _set_w(self, w):

self._size.w = w

w = width = property(_get_w, _set_w)

def _get_right(self):

return self._origin.x + self._size.w

def _set_right(self, right):

self._size.w = right - self._origin.x

r = right = property(_get_right, _set_right)

def _get_h(self):

return self._size.h

def _set_h(self, h):

self._size.h = h

h = height = property(_get_h, _set_h)

def _get_bottom(self):

return self._origin.y + self._size.h

def _set_bottom(self, bottom):

self._size.h = bottom - self._origin.y

b = bottom = property(_get_bottom, _set_bottom)

### argument destructuring madness (a.k.a. wouldn't multimethods be nice...) ###

def _abort(stream, objs, types, orig):

needed = [t.__name__ for t in types]

got = [o.__class__.__name__ for o in objs] + [arg.__class__.__name__ for arg in stream]

invalid = 'Invalid coordinates (looking for %r, found %r in %r)' % (needed, got, orig)

raise DeviceError(invalid)

def parse_coords(coords, types):

"""Unpacks (and validates) *args tuples representing sets of geometric or numeric types

The `types` arg should be a list of classes to be `found' in the coords list. Currently,

Point, Size, and float are supported. The elements of the coords list will be grouped

and coerced into the specified types. If the coords list can't be pattern-matched

precisely into the given sequence of types, an exception is raised.

"""

# make a mutable copy we can traverse and an output list to shift into

stream = list(coords)

objs = []

# splice in a Point + Size for any Regions passed in the args

for i in range(len(stream)-1,-1,-1):

if isinstance(stream[i], Region):

stream[i:i+1] = [stream[i].origin, stream[i].size]

for cls in types:

# crash on insufficient args

if not stream:

_abort(stream, objs, types, coords)

# unpack the next 1 or 2 args into a Point/Size/float (or die trying)

try:

if cls is not float and numlike(stream[0]) or stream[0] is None:

obj = cls(stream[0], stream[1])

del stream[:2]

else:

obj = cls(stream[0])

del stream[0]

except:

_abort(stream, objs, types, coords)

objs.append(obj)

# crash on extraneous args

if stream:

_abort(stream, objs, types, coords)

# exclude the container list if only one arg is returned

if len(types) == 1:

return objs[0]

return objs

### Unit-conversions for canvas measurements ###

class MagicNumber(object):

# be a well-behaved pseudo-number (based on the float in self.value)

def __int__(self): return int(self.value)

def __float__(self): return float(self.value)

def __cmp__(self, n): return cmp(self.value, n)

def __eq__(self, n): return n == self.value

def __lt__(self, n): return self.value < n

def __gt__(self, n): return self.value > n

def __abs__(self): return abs(self.value)

def __pos__(self): return +self.value

def __neg__(self): return -self.value

def __invert__(self): return ~self.value

def __trunc__(self): return math.trunc(self.value)

def __add__(self, n): return self.value + n

def __sub__(self, n): return self.value - n

def __mul__(self, n): return self.value * n

def __truediv__(self, n): return self.value/n

def __floordiv__(self, n): return self.value // n

def __mod__(self, n): return self.value % n

def __pow__(self, n): return self.value ** n

def __lshift__(self, n): return self.value << n

def __rshift__(self, n): return self.value >> n

def __radd__(self, n): return n + self.value

def __rsub__(self, n): return n - self.value

def __rmul__(self, n): return n * self.value

def __rdiv__(self, n): return n / self.value

def __rfloordiv__(self, n): return n // self.value

def __rmod__(self, n): return n % self.value

def __rpow__(self, n): return n ** self.value

def __rlshift__(self, n): return n << self.value

def __rrshift__(self, n): return n >> self.value

# the WIDTH and HEIGHT globals are Dimension objects

class Dimension(MagicNumber):

"""A persistent reference to the current canvas's size"""

def __init__(self, dim):

self._dim = dim # "width" or "height"

def __repr__(self):

return repr(self.value)

@property

def value(self):

return float(getattr(_ctx.canvas, self._dim))

# the px, inch, pica, cm, & mm globals are Unit objects

class Unit(MagicNumber):

"""A standard unit of measurement."""

_dpx = {"px":1.0, "inch":72.0, "pica":12.0, "cm":72/2.54, "mm":72/25.4}

def __init__(self, name):

self.name = name

def __repr__(self):

if self.basis==_ctx._grid.dpx:

return '<one %s>' % self.name

return '<one %s (%0.3f canvas units)>'%(self.name, self.value)

@property

def value(self):

"""Size of this unit in terms of the current canvas unit"""

return self.basis/_ctx._grid.dpx

@property

def basis(self):

"""Size of this unit of measure in Postscript points"""

return Unit._dpx[self.name]

# create a module-level variable for each of the standard units

globals().update({u:Unit(u) for u in Unit._dpx})

### NSAffineTransform wrapper used for positioning Grobs in a Context ###

class Transform(object):

def __init__(self, transform=None):

if transform is None:

transform = NSAffineTransform.transform()

elif isinstance(transform, Transform):

transform = transform._nsAffineTransform.copy()

elif isinstance(transform, NSAffineTransform):

transform = transform.copy()

elif isinstance(transform, (list, tuple, NSAffineTransformStruct)):

struct = tuple(transform)

transform = NSAffineTransform.transform()

transform.setTransformStruct_(struct)

else:

wrongtype = "Don't know how to handle transform %s." % transform

raise DeviceError(wrongtype)

self._nsAffineTransform = transform

def __enter__(self):

# Transform objects get _rollback attrs when they're derived from the graphics

# context's current transform via a state-mutation command. In these cases

# the global state has already been changed before the context manager was

# invoked, so don't re-apply it again here.

if not hasattr(self, '_rollback'):

_ctx._transform.prepend(self)

def __exit__(self, type, value, tb):

# once we've been through a block the _rollback (if any) can be discarded

if hasattr(self, '_rollback'):

# _rollback is a dict containing _transform and/or _transformmode.

# in these cases do a direct overwrite then bail out rather than

# applying the inverse transform

for attr, priorval in self._rollback.items():

setattr(_ctx, attr, priorval)

del self._rollback

return

else:

# invert our changes to restore the context's transform

_ctx._transform.prepend(self.inverse)

@trim_zeroes

def __repr__(self):

return "%s([%.3f, %.3f, %.3f, %.3f, %.3f, %.3f])" % ((self.__class__.__name__,)

+ tuple(self))

def __iter__(self):

for value in self._nsAffineTransform.transformStruct():

yield value

def copy(self):

return self.__class__(self)

def _get_matrix(self):

return self._nsAffineTransform.transformStruct()

def _set_matrix(self, value):

self._nsAffineTransform.setTransformStruct_(value)

matrix = property(_get_matrix, _set_matrix)

@property

def inverse(self):

inv = self.copy()

inv._nsAffineTransform.invert()

return inv

def rotate(self, arg=None, **opt):

"""Prepend a rotation transform to the receiver

The angle should be specified through a keyword argument defining its range. e.g.,

t.rotate(degrees=180)

t.rotate(radians=pi)

t.rotate(percent=0.5)

If called with a positional arg, the angle will be interpreted as degrees unless a

prior call to geometry() changed the units.

"""

# check the kwargs for unit-specific settings

units = {k:v for k,v in opt.items() if k in ['degrees', 'radians', 'percent']}

if len(units) > 1:

badunits = 'rotate: specify one rotation at a time (got %s)' % " & ".join(units.keys())

raise DeviceError(badunits)

# if nothing in the kwargs, use the current mode and take the quantity from the first arg

if not units:

units[_ctx._thetamode] = arg or 0

# add rotation to the graphics state

degrees = units.get('degrees', 0)

radians = units.get('radians', 0)

if 'percent' in units:

degrees, radians = 0, tau*units['percent']

xf = Transform()

if degrees:

xf._nsAffineTransform.rotateByDegrees_(-degrees)

else:

xf._nsAffineTransform.rotateByRadians_(-radians)

if opt.get('rollback'):

xf._rollback = {"_transform":self.copy()}

self.prepend(xf)

return xf

def translate(self, x=0, y=0, **opt):

if isinstance(x, (Pair, list, tuple)):

x, y = x

xf = Transform()

xf._nsAffineTransform.translateXBy_yBy_(x, y)

if opt.get('rollback'):

xf._rollback = {"_transform":self.copy()}

self.prepend(xf)

return xf

def scale(self, x=1, y=None, **opt):

if isinstance(x, (Pair, list, tuple)):

x, y = x

elif y is None:

y = x

xf = Transform()

xf._nsAffineTransform.scaleXBy_yBy_(x, y)

if opt.get('rollback'):

xf._rollback = {"_transform":self.copy()}

self.prepend(xf)

return xf

def skew(self, x=0, y=0, **opt):

x,y = map(_ctx._angle, [x,y]) # convert from canvas units to radians

xf = Transform()

xf.matrix = (1, math.tan(y), -math.tan(x), 1, 0, 0)

if opt.get('rollback'):

xf._rollback = {"_transform":self.copy()}

self.prepend(xf)

return xf

def set(self):

self._nsAffineTransform.set()

def concat(self):

self._nsAffineTransform.concat()

def append(self, other):

if isinstance(other, Transform):

other = other._nsAffineTransform

self._nsAffineTransform.appendTransform_(other)

def prepend(self, other):

if isinstance(other, Transform):

other = other._nsAffineTransform

self._nsAffineTransform.prependTransform_(other)

def apply(self, obj):

from .bezier import Bezier

if isinstance(obj, (Bezier, NSBezierPath)):

return self.transformBezier(obj)

elif isinstance(obj, (Point, NSPoint)):

return self.transformPoint(obj)

elif isinstance(obj, (Size, NSSize)):

return self.transformSize(obj)

elif isinstance(obj, (Region, NSRect)):

return self.transformRegion(obj)

else:

wrongtype = "Can only transform Beziers, Points, Sizes, and Regions"

raise DeviceError(wrongtype)

def transformPoint(self, point):

return Point(self._nsAffineTransform.transformPoint_(tuple(point)))

def transformSize(self, size):

return Size(self._nsAffineTransform.transformSize_(tuple(size)))

def transformRegion(self, rect):

origin = self.transformPoint(rect.origin)

size = self.transformSize(rect.size)

return Region(origin, size)

def transformBezier(self, path):

if isinstance(path, NSBezierPath):

return self._nsAffineTransform.transformBezierPath_(path)

from .bezier import Bezier

if isinstance(path, Bezier):

path = path.copy()

else:

wrongtype = "Can only transform Beziers"

raise DeviceError(wrongtype)

path._nsBezierPath = self._nsAffineTransform.transformBezierPath_(path._nsBezierPath)

return path

def transformBezierPath(self, path):

return self.transformBezier(path)

@property

def transform(self):

warnings.warn("The 'transform' attribute is deprecated. Please use _nsAffineTransform instead.", DeprecationWarning, stacklevel=2)

return self._nsAffineTransform

plotdevice/plotdevice/gfx/geometry.py at main · plotdevice/plotdevice · GitHub

Repository navigation

Expand file tree

Breadcrumbs

geometry.py

Latest commit

History

Breadcrumbs

geometry.py

File metadata and controls