Hide keyboard shortcuts

Hot-keys on this page

r m x p   toggle line displays

j k   next/prev highlighted chunk

0   (zero) top of page

1   (one) first highlighted chunk

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

""" 

all.py -- much of sage is imported into this module, so you don't 

have to import everything individually. 

 

TESTS: 

 

This is to test :trac:`10570`. If the number of stackframes at startup 

changes due to a patch you made, please check that this was an 

intended effect of your patch. 

 

:: 

 

sage: import gc 

sage: import inspect 

sage: from sage import * 

sage: frames = [x for x in gc.get_objects() if inspect.isframe(x)] 

 

We exclude the dependencies and check to see that there are no others  

except for the known bad apples:: 

 

sage: allowed = [ 

....: 'IPython', 'prompt_toolkit', # sage dependencies 

....: 'threading', 'multiprocessing', # doctest dependencies 

....: '__main__', 'sage.doctest', # doctesting 

....: ] 

sage: def is_not_allowed(frame): 

....: module = inspect.getmodule(frame) 

....: if module is None: return False 

....: return not any(module.__name__.startswith(name) for name in allowed) 

sage: [inspect.getmodule(f).__name__ for f in frames if is_not_allowed(f)] 

['sage.combinat.species.generating_series'] 

 

 

Check that the Sage Notebook is not imported at startup (see 

:trac:`15335`):: 

 

sage: sagenb 

Traceback (most recent call last): 

... 

NameError: name 'sagenb' is not defined 

 

Check lazy import of ``interacts``:: 

 

sage: type(interacts) 

<type 'sage.misc.lazy_import.LazyImport'> 

sage: interacts 

<module 'sage.interacts.all' from '...'> 

""" 

 

#***************************************************************************** 

# Copyright (C) 2005-2012 William Stein <wstein@gmail.com> 

# 

# This program is free software: you can redistribute it and/or modify 

# it under the terms of the GNU General Public License as published by 

# the Free Software Foundation, either version 2 of the License, or 

# (at your option) any later version. 

# http://www.gnu.org/licenses/ 

#***************************************************************************** 

 

# Future statements which apply to this module. We delete the 

# future globals because we do not want these to appear in the sage.all 

# namespace. This deleting does not affect the parsing of this module. 

from __future__ import absolute_import, division, print_function 

del absolute_import, division, print_function 

 

import os 

import sys 

import operator 

import math 

 

from sage.env import SAGE_ROOT, SAGE_SRC, SAGE_DOC_SRC, SAGE_LOCAL, DOT_SAGE, SAGE_ENV 

 

 

################################################################### 

 

# This import also sets up the interrupt handler 

from cysignals.signals import (AlarmInterrupt, SignalError, 

sig_on_reset as sig_on_count) 

 

from time import sleep 

 

import sage.misc.lazy_import 

from sage.misc.all import * # takes a while 

from sage.typeset.all import * 

from sage.repl.all import * 

 

from sage.misc.sh import sh 

 

from sage.libs.all import * 

from sage.data_structures.all import * 

from sage.doctest.all import * 

 

from sage.structure.all import * 

from sage.rings.all import * 

from sage.arith.all import * 

from sage.matrix.all import * 

 

from sage.symbolic.all import * 

from sage.modules.all import * 

from sage.monoids.all import * 

from sage.algebras.all import * 

from sage.modular.all import * 

from sage.sat.all import * 

from sage.schemes.all import * 

from sage.graphs.all import * 

from sage.groups.all import * 

from sage.arith.power import generic_power as power 

from sage.databases.all import * 

from sage.categories.all import * 

from sage.sets.all import * 

from sage.probability.all import * 

from sage.interfaces.all import * 

 

from sage.functions.all import * 

from sage.calculus.all import * 

 

import sage.tests.all as tests 

from sage.cpython.all import * 

 

from sage.crypto.all import * 

import sage.crypto.mq as mq 

 

from sage.plot.all import * 

from sage.plot.plot3d.all import * 

 

from sage.coding.all import * 

from sage.combinat.all import * 

 

from sage.lfunctions.all import * 

 

from sage.geometry.all import * 

from sage.geometry.triangulation.all import * 

from sage.geometry.riemannian_manifolds.all import * 

 

from sage.dynamics.all import * 

 

from sage.homology.all import * 

 

from sage.quadratic_forms.all import * 

 

from sage.games.all import * 

 

from sage.media.all import * 

 

from sage.logic.all import * 

 

from sage.numerical.all import * 

 

from sage.stats.all import * 

import sage.stats.all as stats 

 

import sage.finance.all as finance 

 

from sage.parallel.all import * 

 

from sage.ext.fast_callable import fast_callable 

from sage.ext.fast_eval import fast_float 

 

sage.misc.lazy_import.lazy_import('sage.sandpiles.all', '*', globals()) 

 

from sage.tensor.all import * 

 

from sage.matroids.all import * 

 

from sage.game_theory.all import * 

 

from sage.knots.all import * 

 

from sage.manifolds.all import * 

 

from cysignals.alarm import alarm, cancel_alarm 

 

# Lazily import notebook functions and interacts (#15335) 

lazy_import('sagenb.notebook.notebook_object', 'notebook') 

lazy_import('sagenb.notebook.notebook_object', 'inotebook') 

lazy_import('sagenb.notebook.sage_email', 'email') 

lazy_import('sage.interacts', 'all', 'interacts') 

from sage.interacts.debugger import debug 

# interact decorator from SageNB (will be overridden by Jupyter) 

lazy_import('sagenb.notebook.interact', 'interact') 

 

from copy import copy, deepcopy 

 

# The code executed here uses a large amount of Sage components 

from sage.rings.qqbar import _init_qqbar 

_init_qqbar() 

 

 

########################################################### 

#### WARNING: 

# DO *not* import numpy / matplotlib / networkx here!! 

# Each takes a surprisingly long time to initialize, 

# and that initialization should be done more on-the-fly 

# when they are first needed. 

########################################################### 

 

CC = ComplexField() 

QQ = RationalField() 

RR = RealField() # default real field 

ZZ = IntegerRing() 

 

true = True 

false = False 

oo = infinity 

 

from sage.misc.copying import license 

copying = license 

copyright = license 

 

_cpu_time_ = cputime() 

_wall_time_ = walltime() 

 

def quit_sage(verbose=True): 

""" 

If you use Sage in library mode, you should call this function 

when your application quits. 

 

It makes sure any child processes are also killed, etc. 

""" 

if verbose: 

t1 = cputime(_cpu_time_) 

t1m = int(t1) // 60 

t1s = t1 - t1m * 60 

t2 = walltime(_wall_time_) 

t2m = int(t2) // 60 

t2s = t2 - t2m * 60 

print("Exiting Sage (CPU time %sm%.2fs, Wall time %sm%.2fs)." % 

(t1m, t1s, t2m, t2s)) 

 

import gc 

gc.collect() 

 

from sage.interfaces.quit import expect_quitall 

expect_quitall(verbose=verbose) 

 

import sage.matrix.matrix_mod2_dense 

sage.matrix.matrix_mod2_dense.free_m4ri() 

 

import sage.libs.flint.flint 

sage.libs.flint.flint.free_flint_stack() 

 

# stop the twisted reactor 

try: 

from twisted.internet import reactor 

if reactor.running: 

reactor.callFromThread(reactor.stop) 

except ImportError: 

pass 

 

# Free globally allocated mpir integers. 

import sage.rings.integer 

sage.rings.integer.free_integer_pool() 

import sage.algebras.quatalg.quaternion_algebra_element 

sage.algebras.quatalg.quaternion_algebra_element._clear_globals() 

 

from sage.libs.all import symmetrica 

symmetrica.end() 

 

 

sage.structure.sage_object.register_unpickle_override('sage.categories.category', 'Sets', Sets) 

sage.structure.sage_object.register_unpickle_override('sage.categories.category_types', 'HeckeModules', HeckeModules) 

sage.structure.sage_object.register_unpickle_override('sage.categories.category_types', 'Objects', Objects) 

sage.structure.sage_object.register_unpickle_override('sage.categories.category_types', 'Rings', Rings) 

sage.structure.sage_object.register_unpickle_override('sage.categories.category_types', 'Fields', Fields) 

sage.structure.sage_object.register_unpickle_override('sage.categories.category_types', 'VectorSpaces', VectorSpaces) 

sage.structure.sage_object.register_unpickle_override('sage.categories.category_types', 'Schemes_over_base', sage.categories.schemes.Schemes_over_base) 

sage.structure.sage_object.register_unpickle_override('sage.categories.category_types', 'ModularAbelianVarieties', ModularAbelianVarieties) 

sage.structure.sage_object.register_unpickle_override('sage.libs.pari.gen_py', 'pari', pari) 

 

# Cache the contents of star imports. 

sage.misc.lazy_import.save_cache_file() 

 

 

### Debugging for Singular, see trac #10903 

# from sage.libs.singular.ring import poison_currRing 

# sys.settrace(poison_currRing) 

 

 

# Write a file indicating that Sage was started up successfully. 

# This is called by the sage-starts script. 

def _write_started_file(): 

""" 

Write a ``sage-started.txt`` file if it does not exist. The 

contents of this file do not matter, only its existence. 

 

The non-existence of this file will be used as a trigger to run 

``sage-starts`` during the Sage build. 

 

TESTS: 

 

Check that the file exists when Sage is running:: 

 

sage: started_file = os.path.join(SAGE_LOCAL, 'etc', 'sage-started.txt') 

sage: os.path.isfile(started_file) 

True 

""" 

started_file = os.path.join(SAGE_LOCAL, 'etc', 'sage-started.txt') 

 

# Current time with a resolution of 1 second 

import datetime 

t = datetime.datetime.now().replace(microsecond=0) 

 

O = open(started_file, 'w') 

O.write("Sage {} was started at {}\n".format(sage.version.version, t)) 

O.close() 

 

 

import warnings 

warnings.filters.remove(('ignore', None, DeprecationWarning, None, 0)) 

# Ignore all deprecations from IPython etc. 

warnings.filterwarnings('ignore', 

module='.*(IPython|ipykernel|jupyter_client|jupyter_core|nbformat|notebook|ipywidgets|storemagic)') 

# However, be sure to keep OUR deprecation warnings 

warnings.filterwarnings('default', 

'[\s\S]*See http://trac.sagemath.org/[0-9]* for details.') 

 

 

# Set a new random number seed as the very last thing 

# (so that printing initial_seed() and using that seed 

# in set_random_seed() will result in the same sequence you got at 

# Sage startup). 

set_random_seed() 

 

 

# From now on it is ok to resolve lazy imports 

sage.misc.lazy_import.finish_startup() 

 

def sage_globals(): 

r""" 

Return the Sage namespace. 

 

EXAMPLES:: 

 

sage: 'log' in sage_globals() 

True 

sage: 'MatrixSpace' in sage_globals() 

True 

sage: 'Permutations' in sage_globals() 

True 

sage: 'TheWholeUniverse' in sage_globals() 

False 

""" 

return globals()