cpython/Objects/complexobject.c at main · https-github-com-nzysoft/cpython · GitHub

History

1111 lines (994 loc) · 31.4 KB

Raw

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

754

755

756

757

758

759

760

761

762

763

764

765

766

767

768

769

770

771

772

773

774

775

776

777

778

779

780

781

782

783

784

785

786

787

788

789

790

791

792

793

794

795

796

797

798

799

800

801

802

803

804

805

806

807

808

809

810

811

812

813

814

815

816

817

818

819

820

821

822

823

824

825

826

827

828

829

830

831

832

833

834

835

836

837

838

839

840

841

842

843

844

845

846

847

848

849

850

851

852

853

854

855

856

857

858

859

860

861

862

863

864

865

866

867

868

869

870

871

872

873

874

875

876

877

878

879

880

881

882

883

884

885

886

887

888

889

890

891

892

893

894

895

896

897

898

899

900

901

902

903

904

905

906

907

908

909

910

911

912

913

914

915

916

917

918

919

920

921

922

923

924

925

926

927

928

929

930

931

932

933

934

935

936

937

938

939

940

941

942

943

944

945

946

947

948

949

950

951

952

953

954

955

956

957

958

959

960

961

962

963

964

965

966

967

968

969

970

971

972

973

974

975

976

977

978

979

980

981

982

983

984

985

986

987

988

989

990

991

992

993

994

995

996

997

998

999

1000

/* Complex object implementation */

/* Borrows heavily from floatobject.c */

/* Submitted by Jim Hugunin */

#include "Python.h"

#include "pycore_call.h" // _PyObject_CallNoArgs()

#include "pycore_complexobject.h" // _PyComplex_FormatAdvancedWriter()

#include "pycore_long.h" // _PyLong_GetZero()

#include "pycore_object.h" // _PyObject_Init()

#include "pycore_pymath.h" // _Py_ADJUST_ERANGE2()

/*[clinic input]

class complex "PyComplexObject *" "&PyComplex_Type"

[clinic start generated code]*/

/*[clinic end generated code: output=da39a3ee5e6b4b0d input=819e057d2d10f5ec]*/

#include "clinic/complexobject.c.h"

/* elementary operations on complex numbers */

static Py_complex c_1 = {1., 0.};

Py_complex

_Py_c_sum(Py_complex a, Py_complex b)

{

Py_complex r;

r.real = a.real + b.real;

r.imag = a.imag + b.imag;

return r;

}

Py_complex

_Py_c_diff(Py_complex a, Py_complex b)

{

Py_complex r;

r.real = a.real - b.real;

r.imag = a.imag - b.imag;

return r;

}

Py_complex

_Py_c_neg(Py_complex a)

{

Py_complex r;

r.real = -a.real;

r.imag = -a.imag;

return r;

}

Py_complex

_Py_c_prod(Py_complex a, Py_complex b)

{

Py_complex r;

r.real = a.real*b.real - a.imag*b.imag;

r.imag = a.real*b.imag + a.imag*b.real;

return r;

}

/* Avoid bad optimization on Windows ARM64 until the compiler is fixed */

#ifdef _M_ARM64

#pragma optimize("", off)

#endif

Py_complex

_Py_c_quot(Py_complex a, Py_complex b)

{

/******************************************************************

This was the original algorithm. It's grossly prone to spurious

overflow and underflow errors. It also merrily divides by 0 despite

checking for that(!). The code still serves a doc purpose here, as

the algorithm following is a simple by-cases transformation of this

one:

Py_complex r;

double d = b.real*b.real + b.imag*b.imag;

if (d == 0.)

errno = EDOM;

r.real = (a.real*b.real + a.imag*b.imag)/d;

r.imag = (a.imag*b.real - a.real*b.imag)/d;

return r;

******************************************************************/

/* This algorithm is better, and is pretty obvious: first divide the

* numerators and denominator by whichever of {b.real, b.imag} has

* larger magnitude. The earliest reference I found was to CACM

* Algorithm 116 (Complex Division, Robert L. Smith, Stanford

* University). As usual, though, we're still ignoring all IEEE

* endcases.

Py_complex r; /* the result */

const double abs_breal = b.real < 0 ? -b.real : b.real;

const double abs_bimag = b.imag < 0 ? -b.imag : b.imag;

if (abs_breal >= abs_bimag) {

/* divide tops and bottom by b.real */

if (abs_breal == 0.0) {

errno = EDOM;

r.real = r.imag = 0.0;

}

else {

const double ratio = b.imag / b.real;

const double denom = b.real + b.imag * ratio;

r.real = (a.real + a.imag * ratio) / denom;

r.imag = (a.imag - a.real * ratio) / denom;

}

else if (abs_bimag >= abs_breal) {

/* divide tops and bottom by b.imag */

const double ratio = b.real / b.imag;

const double denom = b.real * ratio + b.imag;

assert(b.imag != 0.0);

r.real = (a.real * ratio + a.imag) / denom;

r.imag = (a.imag * ratio - a.real) / denom;

}

else {

/* At least one of b.real or b.imag is a NaN */

r.real = r.imag = Py_NAN;

}

return r;

}

#ifdef _M_ARM64

#pragma optimize("", on)

#endif

Py_complex

_Py_c_pow(Py_complex a, Py_complex b)

{

Py_complex r;

double vabs,len,at,phase;

if (b.real == 0. && b.imag == 0.) {

r.real = 1.;

r.imag = 0.;

}

else if (a.real == 0. && a.imag == 0.) {

if (b.imag != 0. || b.real < 0.)

errno = EDOM;

r.real = 0.;

r.imag = 0.;

}

else {

vabs = hypot(a.real,a.imag);

len = pow(vabs,b.real);

at = atan2(a.imag, a.real);

phase = at*b.real;

if (b.imag != 0.0) {

len /= exp(at*b.imag);

phase += b.imag*log(vabs);

}

r.real = len*cos(phase);

r.imag = len*sin(phase);

}

return r;

}

static Py_complex

c_powu(Py_complex x, long n)

{

Py_complex r, p;

long mask = 1;

r = c_1;

p = x;

while (mask > 0 && n >= mask) {

if (n & mask)

r = _Py_c_prod(r,p);

mask <<= 1;

p = _Py_c_prod(p,p);

}

return r;

}

static Py_complex

c_powi(Py_complex x, long n)

{

if (n > 0)

return c_powu(x,n);

else

return _Py_c_quot(c_1, c_powu(x,-n));

}

double

_Py_c_abs(Py_complex z)

{

/* sets errno = ERANGE on overflow; otherwise errno = 0 */

double result;

if (!Py_IS_FINITE(z.real) || !Py_IS_FINITE(z.imag)) {

/* C99 rules: if either the real or the imaginary part is an

infinity, return infinity, even if the other part is a

NaN. */

if (Py_IS_INFINITY(z.real)) {

result = fabs(z.real);

errno = 0;

return result;

}

if (Py_IS_INFINITY(z.imag)) {

result = fabs(z.imag);

errno = 0;

return result;

}

/* either the real or imaginary part is a NaN,

and neither is infinite. Result should be NaN. */

return Py_NAN;

}

result = hypot(z.real, z.imag);

if (!Py_IS_FINITE(result))

errno = ERANGE;

else

errno = 0;

return result;

}

static PyObject *

complex_subtype_from_c_complex(PyTypeObject *type, Py_complex cval)

{

PyObject *op;

op = type->tp_alloc(type, 0);

if (op != NULL)

((PyComplexObject *)op)->cval = cval;

return op;

}

PyObject *

PyComplex_FromCComplex(Py_complex cval)

{

/* Inline PyObject_New */

PyComplexObject *op = PyObject_Malloc(sizeof(PyComplexObject));

if (op == NULL) {

return PyErr_NoMemory();

}

_PyObject_Init((PyObject*)op, &PyComplex_Type);

op->cval = cval;

return (PyObject *) op;

}

static PyObject *

complex_subtype_from_doubles(PyTypeObject *type, double real, double imag)

{

Py_complex c;

c.real = real;

c.imag = imag;

return complex_subtype_from_c_complex(type, c);

}

PyObject *

PyComplex_FromDoubles(double real, double imag)

{

Py_complex c;

c.real = real;

c.imag = imag;

return PyComplex_FromCComplex(c);

}

double

PyComplex_RealAsDouble(PyObject *op)

{

if (PyComplex_Check(op)) {

return ((PyComplexObject *)op)->cval.real;

}

else {

return PyFloat_AsDouble(op);

}

double

PyComplex_ImagAsDouble(PyObject *op)

{

if (PyComplex_Check(op)) {

return ((PyComplexObject *)op)->cval.imag;

}

else {

return 0.0;

}

static PyObject *

try_complex_special_method(PyObject *op)

{

PyObject *f;

f = _PyObject_LookupSpecial(op, &_Py_ID(__complex__));

if (f) {

PyObject *res = _PyObject_CallNoArgs(f);

Py_DECREF(f);

if (!res || PyComplex_CheckExact(res)) {

return res;

}

if (!PyComplex_Check(res)) {

PyErr_Format(PyExc_TypeError,

"__complex__ returned non-complex (type %.200s)",

Py_TYPE(res)->tp_name);

Py_DECREF(res);

return NULL;

}

/* Issue #29894: warn if 'res' not of exact type complex. */

if (PyErr_WarnFormat(PyExc_DeprecationWarning, 1,

"__complex__ returned non-complex (type %.200s). "

"The ability to return an instance of a strict subclass of complex "

"is deprecated, and may be removed in a future version of Python.",

Py_TYPE(res)->tp_name)) {

Py_DECREF(res);

return NULL;

}

return res;

}

return NULL;

}

Py_complex

PyComplex_AsCComplex(PyObject *op)

{

Py_complex cv;

PyObject *newop = NULL;

assert(op);

/* If op is already of type PyComplex_Type, return its value */

if (PyComplex_Check(op)) {

return ((PyComplexObject *)op)->cval;

}

/* If not, use op's __complex__ method, if it exists */

/* return -1 on failure */

cv.real = -1.;

cv.imag = 0.;

newop = try_complex_special_method(op);

if (newop) {

cv = ((PyComplexObject *)newop)->cval;

Py_DECREF(newop);

return cv;

}

else if (PyErr_Occurred()) {

return cv;

}

/* If neither of the above works, interpret op as a float giving the

real part of the result, and fill in the imaginary part as 0. */

else {

/* PyFloat_AsDouble will return -1 on failure */

cv.real = PyFloat_AsDouble(op);

return cv;

}

static PyObject *

complex_repr(PyComplexObject *v)

{

int precision = 0;

char format_code = 'r';

PyObject *result = NULL;

/* If these are non-NULL, they'll need to be freed. */

char *pre = NULL;

char *im = NULL;

/* These do not need to be freed. re is either an alias

for pre or a pointer to a constant. lead and tail

are pointers to constants. */

const char *re = NULL;

const char *lead = "";

const char *tail = "";

if (v->cval.real == 0. && copysign(1.0, v->cval.real)==1.0) {

/* Real part is +0: just output the imaginary part and do not

include parens. */

re = "";

im = PyOS_double_to_string(v->cval.imag, format_code,

precision, 0, NULL);

if (!im) {

PyErr_NoMemory();

goto done;

}

} else {

/* Format imaginary part with sign, real part without. Include

parens in the result. */

pre = PyOS_double_to_string(v->cval.real, format_code,

precision, 0, NULL);

if (!pre) {

PyErr_NoMemory();

goto done;

}

re = pre;

im = PyOS_double_to_string(v->cval.imag, format_code,

precision, Py_DTSF_SIGN, NULL);

if (!im) {

PyErr_NoMemory();

goto done;

}

lead = "(";

tail = ")";

}

result = PyUnicode_FromFormat("%s%s%sj%s", lead, re, im, tail);

done:

PyMem_Free(im);

PyMem_Free(pre);

return result;

}

static Py_hash_t

complex_hash(PyComplexObject *v)

{

Py_uhash_t hashreal, hashimag, combined;

hashreal = (Py_uhash_t)_Py_HashDouble((PyObject *) v, v->cval.real);

if (hashreal == (Py_uhash_t)-1)

return -1;

hashimag = (Py_uhash_t)_Py_HashDouble((PyObject *)v, v->cval.imag);

if (hashimag == (Py_uhash_t)-1)

return -1;

/* Note: if the imaginary part is 0, hashimag is 0 now,

* so the following returns hashreal unchanged. This is

* important because numbers of different types that

* compare equal must have the same hash value, so that

* hash(x + 0*j) must equal hash(x).

combined = hashreal + _PyHASH_IMAG * hashimag;

if (combined == (Py_uhash_t)-1)

combined = (Py_uhash_t)-2;

return (Py_hash_t)combined;

}

/* This macro may return! */

#define TO_COMPLEX(obj, c) \

if (PyComplex_Check(obj)) \

c = ((PyComplexObject *)(obj))->cval; \

else if (to_complex(&(obj), &(c)) < 0) \

return (obj)

static int

to_complex(PyObject **pobj, Py_complex *pc)

{

PyObject *obj = *pobj;

pc->real = pc->imag = 0.0;

if (PyLong_Check(obj)) {

pc->real = PyLong_AsDouble(obj);

if (pc->real == -1.0 && PyErr_Occurred()) {

*pobj = NULL;

return -1;

}

return 0;

}

if (PyFloat_Check(obj)) {

pc->real = PyFloat_AsDouble(obj);

return 0;

}

*pobj = Py_NewRef(Py_NotImplemented);

return -1;

}

static PyObject *

complex_add(PyObject *v, PyObject *w)

{

Py_complex result;

Py_complex a, b;

TO_COMPLEX(v, a);

TO_COMPLEX(w, b);

result = _Py_c_sum(a, b);

return PyComplex_FromCComplex(result);

}

static PyObject *

complex_sub(PyObject *v, PyObject *w)

{

Py_complex result;

Py_complex a, b;

TO_COMPLEX(v, a);

TO_COMPLEX(w, b);

result = _Py_c_diff(a, b);

return PyComplex_FromCComplex(result);

}

static PyObject *

complex_mul(PyObject *v, PyObject *w)

{

Py_complex result;

Py_complex a, b;

TO_COMPLEX(v, a);

TO_COMPLEX(w, b);

result = _Py_c_prod(a, b);

return PyComplex_FromCComplex(result);

}

static PyObject *

complex_div(PyObject *v, PyObject *w)

{

Py_complex quot;

Py_complex a, b;

TO_COMPLEX(v, a);

TO_COMPLEX(w, b);

errno = 0;

quot = _Py_c_quot(a, b);

if (errno == EDOM) {

PyErr_SetString(PyExc_ZeroDivisionError, "complex division by zero");

return NULL;

}

return PyComplex_FromCComplex(quot);

}

static PyObject *

complex_pow(PyObject *v, PyObject *w, PyObject *z)

{

Py_complex p;

Py_complex a, b;

TO_COMPLEX(v, a);

TO_COMPLEX(w, b);

if (z != Py_None) {

PyErr_SetString(PyExc_ValueError, "complex modulo");

return NULL;

}

errno = 0;

// Check whether the exponent has a small integer value, and if so use

// a faster and more accurate algorithm.

if (b.imag == 0.0 && b.real == floor(b.real) && fabs(b.real) <= 100.0) {

p = c_powi(a, (long)b.real);

}

else {

p = _Py_c_pow(a, b);

}

_Py_ADJUST_ERANGE2(p.real, p.imag);

if (errno == EDOM) {

PyErr_SetString(PyExc_ZeroDivisionError,

"0.0 to a negative or complex power");

return NULL;

}

else if (errno == ERANGE) {

PyErr_SetString(PyExc_OverflowError,

"complex exponentiation");

return NULL;

}

return PyComplex_FromCComplex(p);

}

static PyObject *

complex_neg(PyComplexObject *v)

{

Py_complex neg;

neg.real = -v->cval.real;

neg.imag = -v->cval.imag;

return PyComplex_FromCComplex(neg);

}

static PyObject *

complex_pos(PyComplexObject *v)

{

if (PyComplex_CheckExact(v)) {

return Py_NewRef(v);

}

else

return PyComplex_FromCComplex(v->cval);

}

static PyObject *

complex_abs(PyComplexObject *v)

{

double result;

result = _Py_c_abs(v->cval);

if (errno == ERANGE) {

PyErr_SetString(PyExc_OverflowError,

"absolute value too large");

return NULL;

}

return PyFloat_FromDouble(result);

}

static int

complex_bool(PyComplexObject *v)

{

return v->cval.real != 0.0 || v->cval.imag != 0.0;

}

static PyObject *

complex_richcompare(PyObject *v, PyObject *w, int op)

{

PyObject *res;

Py_complex i;

int equal;

if (op != Py_EQ && op != Py_NE) {

goto Unimplemented;

}

assert(PyComplex_Check(v));

TO_COMPLEX(v, i);

if (PyLong_Check(w)) {

/* Check for 0.0 imaginary part first to avoid the rich

* comparison when possible.

if (i.imag == 0.0) {

PyObject *j, *sub_res;

j = PyFloat_FromDouble(i.real);

if (j == NULL)

return NULL;

sub_res = PyObject_RichCompare(j, w, op);

Py_DECREF(j);

return sub_res;

}

else {

equal = 0;

}

else if (PyFloat_Check(w)) {

equal = (i.real == PyFloat_AsDouble(w) && i.imag == 0.0);

}

else if (PyComplex_Check(w)) {

Py_complex j;

TO_COMPLEX(w, j);

equal = (i.real == j.real && i.imag == j.imag);

}

else {

goto Unimplemented;

}

if (equal == (op == Py_EQ))

res = Py_True;

else

res = Py_False;

return Py_NewRef(res);

Unimplemented:

Py_RETURN_NOTIMPLEMENTED;

}

/*[clinic input]

complex.conjugate

Return the complex conjugate of its argument. (3-4j).conjugate() == 3+4j.

[clinic start generated code]*/

static PyObject *

complex_conjugate_impl(PyComplexObject *self)

/*[clinic end generated code: output=5059ef162edfc68e input=5fea33e9747ec2c4]*/

{

Py_complex c = self->cval;

c.imag = -c.imag;

return PyComplex_FromCComplex(c);

}

/*[clinic input]

complex.__getnewargs__

[clinic start generated code]*/

static PyObject *

complex___getnewargs___impl(PyComplexObject *self)

/*[clinic end generated code: output=689b8206e8728934 input=539543e0a50533d7]*/

{

Py_complex c = self->cval;

return Py_BuildValue("(dd)", c.real, c.imag);

}

/*[clinic input]

complex.__format__

format_spec: unicode

Convert to a string according to format_spec.

[clinic start generated code]*/

static PyObject *

complex___format___impl(PyComplexObject *self, PyObject *format_spec)

/*[clinic end generated code: output=bfcb60df24cafea0 input=014ef5488acbe1d5]*/

{

_PyUnicodeWriter writer;

int ret;

_PyUnicodeWriter_Init(&writer);

ret = _PyComplex_FormatAdvancedWriter(

&writer,

(PyObject *)self,

format_spec, 0, PyUnicode_GET_LENGTH(format_spec));

if (ret == -1) {

_PyUnicodeWriter_Dealloc(&writer);

return NULL;

}

return _PyUnicodeWriter_Finish(&writer);

}

/*[clinic input]

complex.__complex__

Convert this value to exact type complex.

[clinic start generated code]*/

static PyObject *

complex___complex___impl(PyComplexObject *self)

/*[clinic end generated code: output=e6b35ba3d275dc9c input=3589ada9d27db854]*/

{

if (PyComplex_CheckExact(self)) {

return Py_NewRef(self);

}

else {

return PyComplex_FromCComplex(self->cval);

}

static PyMethodDef complex_methods[] = {

COMPLEX_CONJUGATE_METHODDEF

COMPLEX___COMPLEX___METHODDEF

COMPLEX___GETNEWARGS___METHODDEF

COMPLEX___FORMAT___METHODDEF

{NULL, NULL} /* sentinel */

};

static PyMemberDef complex_members[] = {

{"real", Py_T_DOUBLE, offsetof(PyComplexObject, cval.real), Py_READONLY,

"the real part of a complex number"},

{"imag", Py_T_DOUBLE, offsetof(PyComplexObject, cval.imag), Py_READONLY,

"the imaginary part of a complex number"},

{0},

};

static PyObject *

complex_from_string_inner(const char *s, Py_ssize_t len, void *type)

{

double x=0.0, y=0.0, z;

int got_bracket=0;

const char *start;

char *end;

/* position on first nonblank */

start = s;

while (Py_ISSPACE(*s))

s++;

if (*s == '(') {

/* Skip over possible bracket from repr(). */

got_bracket = 1;

s++;

while (Py_ISSPACE(*s))

s++;

}

/* a valid complex string usually takes one of the three forms:

<float> - real part only

<float>j - imaginary part only

<float><signed-float>j - real and imaginary parts

where <float> represents any numeric string that's accepted by the

float constructor (including 'nan', 'inf', 'infinity', etc.), and

<signed-float> is any string of the form <float> whose first

character is '+' or '-'.

For backwards compatibility, the extra forms

<float><sign>j

<sign>j

are also accepted, though support for these forms may be removed from

a future version of Python.

/* first look for forms starting with <float> */

z = PyOS_string_to_double(s, &end, NULL);

if (z == -1.0 && PyErr_Occurred()) {

if (PyErr_ExceptionMatches(PyExc_ValueError))

PyErr_Clear();

else

return NULL;

}

if (end != s) {

/* all 4 forms starting with <float> land here */

s = end;

if (*s == '+' || *s == '-') {

/* <float><signed-float>j | <float><sign>j */

x = z;

y = PyOS_string_to_double(s, &end, NULL);

if (y == -1.0 && PyErr_Occurred()) {

if (PyErr_ExceptionMatches(PyExc_ValueError))

PyErr_Clear();

else

return NULL;

}

if (end != s)

/* <float><signed-float>j */

s = end;

else {

/* <float><sign>j */

y = *s == '+' ? 1.0 : -1.0;

s++;

}

if (!(*s == 'j' || *s == 'J'))

goto parse_error;

s++;

}

else if (*s == 'j' || *s == 'J') {

/* <float>j */

s++;

y = z;

}

else

/* <float> */

x = z;

}

else {

/* not starting with <float>; must be <sign>j or j */

if (*s == '+' || *s == '-') {

/* <sign>j */

y = *s == '+' ? 1.0 : -1.0;

s++;

}

else

/* j */

y = 1.0;

if (!(*s == 'j' || *s == 'J'))

goto parse_error;

s++;

}

/* trailing whitespace and closing bracket */

while (Py_ISSPACE(*s))

s++;

if (got_bracket) {

/* if there was an opening parenthesis, then the corresponding

closing parenthesis should be right here */

if (*s != ')')

goto parse_error;

s++;

while (Py_ISSPACE(*s))

s++;

}

/* we should now be at the end of the string */

if (s-start != len)

goto parse_error;

return complex_subtype_from_doubles(_PyType_CAST(type), x, y);

parse_error:

PyErr_SetString(PyExc_ValueError,

"complex() arg is a malformed string");

return NULL;

}

static PyObject *

complex_subtype_from_string(PyTypeObject *type, PyObject *v)

{

const char *s;

PyObject *s_buffer = NULL, *result = NULL;

Py_ssize_t len;

if (PyUnicode_Check(v)) {

s_buffer = _PyUnicode_TransformDecimalAndSpaceToASCII(v);

if (s_buffer == NULL) {

return NULL;

}

assert(PyUnicode_IS_ASCII(s_buffer));

/* Simply get a pointer to existing ASCII characters. */

s = PyUnicode_AsUTF8AndSize(s_buffer, &len);

assert(s != NULL);

}

else {

PyErr_Format(PyExc_TypeError,

"complex() argument must be a string or a number, not '%.200s'",

Py_TYPE(v)->tp_name);

return NULL;

}

result = _Py_string_to_number_with_underscores(s, len, "complex", v, type,

complex_from_string_inner);

Py_DECREF(s_buffer);

return result;

}

/*[clinic input]

@classmethod

complex.__new__ as complex_new

real as r: object(c_default="NULL") = 0

imag as i: object(c_default="NULL") = 0

Create a complex number from a real part and an optional imaginary part.

This is equivalent to (real + imag*1j) where imag defaults to 0.

[clinic start generated code]*/

static PyObject *

complex_new_impl(PyTypeObject *type, PyObject *r, PyObject *i)

/*[clinic end generated code: output=b6c7dd577b537dc1 input=f4c667f2596d4fd1]*/

{

PyObject *tmp;

PyNumberMethods *nbr, *nbi = NULL;

Py_complex cr, ci;

int own_r = 0;

int cr_is_complex = 0;

int ci_is_complex = 0;

if (r == NULL) {

r = _PyLong_GetZero();

}

/* Special-case for a single argument when type(arg) is complex. */

if (PyComplex_CheckExact(r) && i == NULL &&

type == &PyComplex_Type) {

/* Note that we can't know whether it's safe to return

a complex *subclass* instance as-is, hence the restriction

to exact complexes here. If either the input or the

output is a complex subclass, it will be handled below

as a non-orthogonal vector. */

return Py_NewRef(r);

}

if (PyUnicode_Check(r)) {

if (i != NULL) {

PyErr_SetString(PyExc_TypeError,

"complex() can't take second arg"

" if first is a string");

return NULL;

}

return complex_subtype_from_string(type, r);

}

if (i != NULL && PyUnicode_Check(i)) {

PyErr_SetString(PyExc_TypeError,

"complex() second arg can't be a string");

return NULL;

}

tmp = try_complex_special_method(r);

if (tmp) {

r = tmp;

own_r = 1;

}

else if (PyErr_Occurred()) {

return NULL;

}

nbr = Py_TYPE(r)->tp_as_number;

if (nbr == NULL ||

(nbr->nb_float == NULL && nbr->nb_index == NULL && !PyComplex_Check(r)))

{

PyErr_Format(PyExc_TypeError,

"complex() first argument must be a string or a number, "

"not '%.200s'",

Py_TYPE(r)->tp_name);

if (own_r) {

Py_DECREF(r);

}

return NULL;

}

if (i != NULL) {

nbi = Py_TYPE(i)->tp_as_number;

if (nbi == NULL ||

(nbi->nb_float == NULL && nbi->nb_index == NULL && !PyComplex_Check(i)))

{

PyErr_Format(PyExc_TypeError,

"complex() second argument must be a number, "

"not '%.200s'",

Py_TYPE(i)->tp_name);

if (own_r) {

Py_DECREF(r);

}

return NULL;

}

/* If we get this far, then the "real" and "imag" parts should

both be treated as numbers, and the constructor should return a

complex number equal to (real + imag*1j).

Note that we do NOT assume the input to already be in canonical

form; the "real" and "imag" parts might themselves be complex

numbers, which slightly complicates the code below. */

if (PyComplex_Check(r)) {

/* Note that if r is of a complex subtype, we're only

retaining its real & imag parts here, and the return

value is (properly) of the builtin complex type. */

cr = ((PyComplexObject*)r)->cval;

cr_is_complex = 1;

if (own_r) {

Py_DECREF(r);

}

else {

/* The "real" part really is entirely real, and contributes

nothing in the imaginary direction.

Just treat it as a double. */

tmp = PyNumber_Float(r);

if (own_r) {

/* r was a newly created complex number, rather

than the original "real" argument. */

Py_DECREF(r);

}

if (tmp == NULL)

return NULL;

View remainder of file in raw view

cpython/Objects/complexobject.c at main · https-github-com-nzysoft/cpython · GitHub

Uh oh!

Expand file tree

Breadcrumbs

complexobject.c

Latest commit

History

Breadcrumbs

complexobject.c

File metadata and controls