Lines Matching refs:self
39 def test_float(self):
40 self.assertEqual(float(3.14), 3.14)
41 self.assertEqual(float(314), 314.0)
42 self.assertEqual(float(" 3.14 "), 3.14)
43 self.assertRaises(ValueError, float, " 0x3.1 ")
44 self.assertRaises(ValueError, float, " -0x3.p-1 ")
45 self.assertRaises(ValueError, float, " +0x3.p-1 ")
46 self.assertRaises(ValueError, float, "++3.14")
47 self.assertRaises(ValueError, float, "+-3.14")
48 self.assertRaises(ValueError, float, "-+3.14")
49 self.assertRaises(ValueError, float, "--3.14")
50 self.assertRaises(ValueError, float, ".nan")
51 self.assertRaises(ValueError, float, "+.inf")
52 self.assertRaises(ValueError, float, ".")
53 self.assertRaises(ValueError, float, "-.")
54 self.assertRaises(TypeError, float, {})
55 self.assertRaisesRegex(TypeError, "not 'dict'", float, {})
57 self.assertRaises(ValueError, float, '\uD8F0')
59 self.assertRaises(ValueError, float, "-1.7d29")
60 self.assertRaises(ValueError, float, "3D-14")
61 self.assertEqual(float(" \u0663.\u0661\u0664 "), 3.14)
62 self.assertEqual(float("\N{EM SPACE}3.14\N{EN SPACE}"), 3.14)
68 self.assertRaises(ValueError, float, '\u3053\u3093\u306b\u3061\u306f')
70 def test_noargs(self):
71 self.assertEqual(float(), 0.0)
73 def test_underscores(self):
76 self.assertEqual(float(lit), eval(lit))
77 self.assertEqual(float(lit), float(lit.replace('_', '')))
82 self.assertRaises(ValueError, float, lit)
86 self.assertRaises(ValueError, float, '_NaN')
87 self.assertRaises(ValueError, float, 'Na_N')
88 self.assertRaises(ValueError, float, 'IN_F')
89 self.assertRaises(ValueError, float, '-_INF')
90 self.assertRaises(ValueError, float, '-INF_')
92 self.assertRaises(ValueError, float, b'0_.\xff9')
94 def test_non_numeric_input_types(self):
118 with self.subTest(type(x)):
119 self.assertEqual(float(x), 3.14)
120 with self.assertRaisesRegex(ValueError, "could not convert"):
123 def test_float_memoryview(self):
124 self.assertEqual(float(memoryview(b'12.3')[1:4]), 2.3)
125 self.assertEqual(float(memoryview(b'12.3\x00')[1:4]), 2.3)
126 self.assertEqual(float(memoryview(b'12.3 ')[1:4]), 2.3)
127 self.assertEqual(float(memoryview(b'12.3A')[1:4]), 2.3)
128 self.assertEqual(float(memoryview(b'12.34')[1:4]), 2.3)
130 def test_error_message(self):
132 with self.assertRaises(ValueError, msg='float(%r)' % (s,)) as cm:
134 self.assertEqual(str(cm.exception),
158 def test_float_with_comma(self):
164 self.skipTest('decimal_point is not ","')
166 self.assertEqual(float(" 3.14 "), 3.14)
167 self.assertEqual(float("+3.14 "), 3.14)
168 self.assertEqual(float("-3.14 "), -3.14)
169 self.assertEqual(float(".14 "), .14)
170 self.assertEqual(float("3. "), 3.0)
171 self.assertEqual(float("3.e3 "), 3000.0)
172 self.assertEqual(float("3.2e3 "), 3200.0)
173 self.assertEqual(float("2.5e-1 "), 0.25)
174 self.assertEqual(float("5e-1"), 0.5)
175 self.assertRaises(ValueError, float, " 3,14 ")
176 self.assertRaises(ValueError, float, " +3,14 ")
177 self.assertRaises(ValueError, float, " -3,14 ")
178 self.assertRaises(ValueError, float, " 0x3.1 ")
179 self.assertRaises(ValueError, float, " -0x3.p-1 ")
180 self.assertRaises(ValueError, float, " +0x3.p-1 ")
181 self.assertEqual(float(" 25.e-1 "), 2.5)
182 self.assertAlmostEqual(float(" .25e-1 "), .025)
184 def test_floatconversion(self):
187 def __float__(self):
191 def __float__(self):
198 def __float__(self):
199 return self
202 def __float__(self):
208 def __float__(self):
209 return float(str(self)) + 1
211 self.assertEqual(float(Foo1()), 42.)
212 self.assertEqual(float(Foo2()), 42.)
213 with self.assertWarns(DeprecationWarning):
214 self.assertEqual(float(Foo3(21)), 42.)
215 self.assertRaises(TypeError, float, Foo4(42))
216 self.assertEqual(float(FooStr('8')), 9.)
219 def __float__(self):
221 self.assertRaises(TypeError, time.sleep, Foo5())
225 def __float__(self):
227 with self.assertWarns(DeprecationWarning):
228 self.assertEqual(float(F()), 42.)
229 with self.assertWarns(DeprecationWarning):
230 self.assertIs(type(float(F())), float)
231 with self.assertWarns(DeprecationWarning):
232 self.assertEqual(FloatSubclass(F()), 42.)
233 with self.assertWarns(DeprecationWarning):
234 self.assertIs(type(FloatSubclass(F())), FloatSubclass)
237 def __init__(self, value):
238 self.value = value
239 def __index__(self):
240 return self.value
242 self.assertEqual(float(MyIndex(42)), 42.0)
243 self.assertRaises(OverflowError, float, MyIndex(2**2000))
246 def __int__(self):
249 self.assertRaises(TypeError, float, MyInt())
251 def test_keyword_args(self):
252 with self.assertRaisesRegex(TypeError, 'keyword argument'):
255 def test_keywords_in_subclass(self):
259 self.assertIs(type(u), subclass)
260 self.assertEqual(float(u), 2.5)
261 with self.assertRaises(TypeError):
265 def __init__(self, arg, newarg=None):
266 self.newarg = newarg
268 self.assertIs(type(u), subclass_with_init)
269 self.assertEqual(float(u), 2.5)
270 self.assertEqual(u.newarg, 3)
274 self = super().__new__(cls, arg)
275 self.newarg = newarg
276 return self
278 self.assertIs(type(u), subclass_with_new)
279 self.assertEqual(float(u), 2.5)
280 self.assertEqual(u.newarg, 3)
282 def test_is_integer(self):
283 self.assertFalse((1.1).is_integer())
284 self.assertTrue((1.).is_integer())
285 self.assertFalse(float("nan").is_integer())
286 self.assertFalse(float("inf").is_integer())
288 def test_floatasratio(self):
295 self.assertEqual(f.as_integer_ratio(), ratio)
301 self.assertEqual(float(n).__truediv__(d), f)
304 self.assertEqual(R(0, 1),
306 self.assertEqual(R(5, 2),
308 self.assertEqual(R(1, 2),
310 self.assertEqual(R(4728779608739021, 2251799813685248),
312 self.assertEqual(R(-4728779608739021, 2251799813685248),
314 self.assertEqual(R(-2100, 1),
317 self.assertRaises(OverflowError, float('inf').as_integer_ratio)
318 self.assertRaises(OverflowError, float('-inf').as_integer_ratio)
319 self.assertRaises(ValueError, float('nan').as_integer_ratio)
321 def test_float_containment(self):
324 self.assertIn(f, [f])
325 self.assertIn(f, (f,))
326 self.assertIn(f, {f})
327 self.assertIn(f, {f: None})
328 self.assertEqual([f].count(f), 1, "[].count('%r') != 1" % f)
329 self.assertIn(f, floats)
333 self.assertTrue([f] == [f], "[%r] != [%r]" % (f, f))
334 self.assertTrue((f,) == (f,), "(%r,) != (%r,)" % (f, f))
335 self.assertTrue({f} == {f}, "{%r} != {%r}" % (f, f))
336 self.assertTrue({f : None} == {f: None}, "{%r : None} != "
341 self.assertTrue(l == l, "[%r] not equal to itself" % f)
342 self.assertTrue(t == t, "(%r,) not equal to itself" % f)
343 self.assertTrue(s == s, "{%r} not equal to itself" % f)
344 self.assertTrue(d == d, "{%r : None} not equal to itself" % f)
346 def assertEqualAndEqualSign(self, a, b):
350 self.assertEqual((a, copysign(1.0, a)), (b, copysign(1.0, b)))
352 def test_float_floor(self):
353 self.assertIsInstance(float(0.5).__floor__(), int)
354 self.assertEqual(float(0.5).__floor__(), 0)
355 self.assertEqual(float(1.0).__floor__(), 1)
356 self.assertEqual(float(1.5).__floor__(), 1)
357 self.assertEqual(float(-0.5).__floor__(), -1)
358 self.assertEqual(float(-1.0).__floor__(), -1)
359 self.assertEqual(float(-1.5).__floor__(), -2)
360 self.assertEqual(float(1.23e167).__floor__(), 1.23e167)
361 self.assertEqual(float(-1.23e167).__floor__(), -1.23e167)
362 self.assertRaises(ValueError, float("nan").__floor__)
363 self.assertRaises(OverflowError, float("inf").__floor__)
364 self.assertRaises(OverflowError, float("-inf").__floor__)
366 def test_float_ceil(self):
367 self.assertIsInstance(float(0.5).__ceil__(), int)
368 self.assertEqual(float(0.5).__ceil__(), 1)
369 self.assertEqual(float(1.0).__ceil__(), 1)
370 self.assertEqual(float(1.5).__ceil__(), 2)
371 self.assertEqual(float(-0.5).__ceil__(), 0)
372 self.assertEqual(float(-1.0).__ceil__(), -1)
373 self.assertEqual(float(-1.5).__ceil__(), -1)
374 self.assertEqual(float(1.23e167).__ceil__(), 1.23e167)
375 self.assertEqual(float(-1.23e167).__ceil__(), -1.23e167)
376 self.assertRaises(ValueError, float("nan").__ceil__)
377 self.assertRaises(OverflowError, float("inf").__ceil__)
378 self.assertRaises(OverflowError, float("-inf").__ceil__)
381 def test_float_mod(self):
386 self.assertEqualAndEqualSign(mod(-1.0, 1.0), 0.0)
387 self.assertEqualAndEqualSign(mod(-1e-100, 1.0), 1.0)
388 self.assertEqualAndEqualSign(mod(-0.0, 1.0), 0.0)
389 self.assertEqualAndEqualSign(mod(0.0, 1.0), 0.0)
390 self.assertEqualAndEqualSign(mod(1e-100, 1.0), 1e-100)
391 self.assertEqualAndEqualSign(mod(1.0, 1.0), 0.0)
393 self.assertEqualAndEqualSign(mod(-1.0, -1.0), -0.0)
394 self.assertEqualAndEqualSign(mod(-1e-100, -1.0), -1e-100)
395 self.assertEqualAndEqualSign(mod(-0.0, -1.0), -0.0)
396 self.assertEqualAndEqualSign(mod(0.0, -1.0), -0.0)
397 self.assertEqualAndEqualSign(mod(1e-100, -1.0), -1.0)
398 self.assertEqualAndEqualSign(mod(1.0, -1.0), -0.0)
401 def test_float_pow(self):
407 self.assertTrue(isnan(pow_op(-INF, NAN)))
408 self.assertTrue(isnan(pow_op(-2.0, NAN)))
409 self.assertTrue(isnan(pow_op(-1.0, NAN)))
410 self.assertTrue(isnan(pow_op(-0.5, NAN)))
411 self.assertTrue(isnan(pow_op(-0.0, NAN)))
412 self.assertTrue(isnan(pow_op(0.0, NAN)))
413 self.assertTrue(isnan(pow_op(0.5, NAN)))
414 self.assertTrue(isnan(pow_op(2.0, NAN)))
415 self.assertTrue(isnan(pow_op(INF, NAN)))
416 self.assertTrue(isnan(pow_op(NAN, NAN)))
419 self.assertTrue(isnan(pow_op(NAN, -INF)))
420 self.assertTrue(isnan(pow_op(NAN, -2.0)))
421 self.assertTrue(isnan(pow_op(NAN, -1.0)))
422 self.assertTrue(isnan(pow_op(NAN, -0.5)))
423 self.assertTrue(isnan(pow_op(NAN, 0.5)))
424 self.assertTrue(isnan(pow_op(NAN, 1.0)))
425 self.assertTrue(isnan(pow_op(NAN, 2.0)))
426 self.assertTrue(isnan(pow_op(NAN, INF)))
429 self.assertRaises(ZeroDivisionError, pow_op, -0.0, -1.0)
430 self.assertRaises(ZeroDivisionError, pow_op, 0.0, -1.0)
434 self.assertRaises(ZeroDivisionError, pow_op, -0.0, -2.0)
435 self.assertRaises(ZeroDivisionError, pow_op, -0.0, -0.5)
436 self.assertRaises(ZeroDivisionError, pow_op, 0.0, -2.0)
437 self.assertRaises(ZeroDivisionError, pow_op, 0.0, -0.5)
440 self.assertEqualAndEqualSign(pow_op(-0.0, 1.0), -0.0)
441 self.assertEqualAndEqualSign(pow_op(0.0, 1.0), 0.0)
444 self.assertEqualAndEqualSign(pow_op(-0.0, 0.5), 0.0)
445 self.assertEqualAndEqualSign(pow_op(-0.0, 2.0), 0.0)
446 self.assertEqualAndEqualSign(pow_op(0.0, 0.5), 0.0)
447 self.assertEqualAndEqualSign(pow_op(0.0, 2.0), 0.0)
450 self.assertEqualAndEqualSign(pow_op(-1.0, -INF), 1.0)
451 self.assertEqualAndEqualSign(pow_op(-1.0, INF), 1.0)
454 self.assertEqualAndEqualSign(pow_op(1.0, -INF), 1.0)
455 self.assertEqualAndEqualSign(pow_op(1.0, -2.0), 1.0)
456 self.assertEqualAndEqualSign(pow_op(1.0, -1.0), 1.0)
457 self.assertEqualAndEqualSign(pow_op(1.0, -0.5), 1.0)
458 self.assertEqualAndEqualSign(pow_op(1.0, -0.0), 1.0)
459 self.assertEqualAndEqualSign(pow_op(1.0, 0.0), 1.0)
460 self.assertEqualAndEqualSign(pow_op(1.0, 0.5), 1.0)
461 self.assertEqualAndEqualSign(pow_op(1.0, 1.0), 1.0)
462 self.assertEqualAndEqualSign(pow_op(1.0, 2.0), 1.0)
463 self.assertEqualAndEqualSign(pow_op(1.0, INF), 1.0)
464 self.assertEqualAndEqualSign(pow_op(1.0, NAN), 1.0)
467 self.assertEqualAndEqualSign(pow_op(-INF, 0.0), 1.0)
468 self.assertEqualAndEqualSign(pow_op(-2.0, 0.0), 1.0)
469 self.assertEqualAndEqualSign(pow_op(-1.0, 0.0), 1.0)
470 self.assertEqualAndEqualSign(pow_op(-0.5, 0.0), 1.0)
471 self.assertEqualAndEqualSign(pow_op(-0.0, 0.0), 1.0)
472 self.assertEqualAndEqualSign(pow_op(0.0, 0.0), 1.0)
473 self.assertEqualAndEqualSign(pow_op(0.5, 0.0), 1.0)
474 self.assertEqualAndEqualSign(pow_op(1.0, 0.0), 1.0)
475 self.assertEqualAndEqualSign(pow_op(2.0, 0.0), 1.0)
476 self.assertEqualAndEqualSign(pow_op(INF, 0.0), 1.0)
477 self.assertEqualAndEqualSign(pow_op(NAN, 0.0), 1.0)
478 self.assertEqualAndEqualSign(pow_op(-INF, -0.0), 1.0)
479 self.assertEqualAndEqualSign(pow_op(-2.0, -0.0), 1.0)
480 self.assertEqualAndEqualSign(pow_op(-1.0, -0.0), 1.0)
481 self.assertEqualAndEqualSign(pow_op(-0.5, -0.0), 1.0)
482 self.assertEqualAndEqualSign(pow_op(-0.0, -0.0), 1.0)
483 self.assertEqualAndEqualSign(pow_op(0.0, -0.0), 1.0)
484 self.assertEqualAndEqualSign(pow_op(0.5, -0.0), 1.0)
485 self.assertEqualAndEqualSign(pow_op(1.0, -0.0), 1.0)
486 self.assertEqualAndEqualSign(pow_op(2.0, -0.0), 1.0)
487 self.assertEqualAndEqualSign(pow_op(INF, -0.0), 1.0)
488 self.assertEqualAndEqualSign(pow_op(NAN, -0.0), 1.0)
492 self.assertEqual(type(pow_op(-2.0, -0.5)), complex)
493 self.assertEqual(type(pow_op(-2.0, 0.5)), complex)
494 self.assertEqual(type(pow_op(-1.0, -0.5)), complex)
495 self.assertEqual(type(pow_op(-1.0, 0.5)), complex)
496 self.assertEqual(type(pow_op(-0.5, -0.5)), complex)
497 self.assertEqual(type(pow_op(-0.5, 0.5)), complex)
500 self.assertEqualAndEqualSign(pow_op(-0.5, -INF), INF)
501 self.assertEqualAndEqualSign(pow_op(-0.0, -INF), INF)
502 self.assertEqualAndEqualSign(pow_op(0.0, -INF), INF)
503 self.assertEqualAndEqualSign(pow_op(0.5, -INF), INF)
506 self.assertEqualAndEqualSign(pow_op(-INF, -INF), 0.0)
507 self.assertEqualAndEqualSign(pow_op(-2.0, -INF), 0.0)
508 self.assertEqualAndEqualSign(pow_op(2.0, -INF), 0.0)
509 self.assertEqualAndEqualSign(pow_op(INF, -INF), 0.0)
512 self.assertEqualAndEqualSign(pow_op(-0.5, INF), 0.0)
513 self.assertEqualAndEqualSign(pow_op(-0.0, INF), 0.0)
514 self.assertEqualAndEqualSign(pow_op(0.0, INF), 0.0)
515 self.assertEqualAndEqualSign(pow_op(0.5, INF), 0.0)
518 self.assertEqualAndEqualSign(pow_op(-INF, INF), INF)
519 self.assertEqualAndEqualSign(pow_op(-2.0, INF), INF)
520 self.assertEqualAndEqualSign(pow_op(2.0, INF), INF)
521 self.assertEqualAndEqualSign(pow_op(INF, INF), INF)
524 self.assertEqualAndEqualSign(pow_op(-INF, -1.0), -0.0)
527 self.assertEqualAndEqualSign(pow_op(-INF, -0.5), 0.0)
528 self.assertEqualAndEqualSign(pow_op(-INF, -2.0), 0.0)
531 self.assertEqualAndEqualSign(pow_op(-INF, 1.0), -INF)
534 self.assertEqualAndEqualSign(pow_op(-INF, 0.5), INF)
535 self.assertEqualAndEqualSign(pow_op(-INF, 2.0), INF)
538 self.assertEqualAndEqualSign(pow_op(INF, 0.5), INF)
539 self.assertEqualAndEqualSign(pow_op(INF, 1.0), INF)
540 self.assertEqualAndEqualSign(pow_op(INF, 2.0), INF)
543 self.assertEqualAndEqualSign(pow_op(INF, -2.0), 0.0)
544 self.assertEqualAndEqualSign(pow_op(INF, -1.0), 0.0)
545 self.assertEqualAndEqualSign(pow_op(INF, -0.5), 0.0)
548 self.assertEqualAndEqualSign(pow_op(-2.0, -2.0), 0.25)
549 self.assertEqualAndEqualSign(pow_op(-2.0, -1.0), -0.5)
550 self.assertEqualAndEqualSign(pow_op(-2.0, -0.0), 1.0)
551 self.assertEqualAndEqualSign(pow_op(-2.0, 0.0), 1.0)
552 self.assertEqualAndEqualSign(pow_op(-2.0, 1.0), -2.0)
553 self.assertEqualAndEqualSign(pow_op(-2.0, 2.0), 4.0)
554 self.assertEqualAndEqualSign(pow_op(-1.0, -2.0), 1.0)
555 self.assertEqualAndEqualSign(pow_op(-1.0, -1.0), -1.0)
556 self.assertEqualAndEqualSign(pow_op(-1.0, -0.0), 1.0)
557 self.assertEqualAndEqualSign(pow_op(-1.0, 0.0), 1.0)
558 self.assertEqualAndEqualSign(pow_op(-1.0, 1.0), -1.0)
559 self.assertEqualAndEqualSign(pow_op(-1.0, 2.0), 1.0)
560 self.assertEqualAndEqualSign(pow_op(2.0, -2.0), 0.25)
561 self.assertEqualAndEqualSign(pow_op(2.0, -1.0), 0.5)
562 self.assertEqualAndEqualSign(pow_op(2.0, -0.0), 1.0)
563 self.assertEqualAndEqualSign(pow_op(2.0, 0.0), 1.0)
564 self.assertEqualAndEqualSign(pow_op(2.0, 1.0), 2.0)
565 self.assertEqualAndEqualSign(pow_op(2.0, 2.0), 4.0)
569 self.assertEqualAndEqualSign(pow_op(1.0, -1e100), 1.0)
570 self.assertEqualAndEqualSign(pow_op(1.0, 1e100), 1.0)
571 self.assertEqualAndEqualSign(pow_op(-1.0, -1e100), 1.0)
572 self.assertEqualAndEqualSign(pow_op(-1.0, 1e100), 1.0)
575 self.assertEqualAndEqualSign(pow_op(-2.0, -2000.0), 0.0)
576 self.assertEqual(type(pow_op(-2.0, -2000.5)), complex)
577 self.assertEqualAndEqualSign(pow_op(-2.0, -2001.0), -0.0)
578 self.assertEqualAndEqualSign(pow_op(2.0, -2000.0), 0.0)
579 self.assertEqualAndEqualSign(pow_op(2.0, -2000.5), 0.0)
580 self.assertEqualAndEqualSign(pow_op(2.0, -2001.0), 0.0)
581 self.assertEqualAndEqualSign(pow_op(-0.5, 2000.0), 0.0)
582 self.assertEqual(type(pow_op(-0.5, 2000.5)), complex)
583 self.assertEqualAndEqualSign(pow_op(-0.5, 2001.0), -0.0)
584 self.assertEqualAndEqualSign(pow_op(0.5, 2000.0), 0.0)
585 self.assertEqualAndEqualSign(pow_op(0.5, 2000.5), 0.0)
586 self.assertEqualAndEqualSign(pow_op(0.5, 2001.0), 0.0)
592 #self.assertTrue(0.0 < pow_op(0.5, 1048) < 1e-315)
593 #self.assertTrue(0.0 < pow_op(-0.5, 1048) < 1e-315)
594 #self.assertTrue(0.0 < pow_op(0.5, 1047) < 1e-315)
595 #self.assertTrue(0.0 > pow_op(-0.5, 1047) > -1e-315)
596 #self.assertTrue(0.0 < pow_op(2.0, -1048) < 1e-315)
597 #self.assertTrue(0.0 < pow_op(-2.0, -1048) < 1e-315)
598 #self.assertTrue(0.0 < pow_op(2.0, -1047) < 1e-315)
599 #self.assertTrue(0.0 > pow_op(-2.0, -1047) > -1e-315)
601 def test_hash(self):
603 self.assertEqual(hash(float(x)), hash(x))
604 self.assertEqual(hash(float(sys.float_info.max)),
606 self.assertEqual(hash(float('inf')), sys.hash_info.inf)
607 self.assertEqual(hash(float('-inf')), -sys.hash_info.inf)
609 def test_hash_nan(self):
611 self.assertEqual(hash(value), object.__hash__(value))
613 def __hash__(self):
618 self.assertEqual(hash(value), object.__hash__(value))
623 def test_getformat(self):
624 self.assertIn(float.__getformat__('double'),
626 self.assertIn(float.__getformat__('float'),
628 self.assertRaises(ValueError, float.__getformat__, 'chicken')
629 self.assertRaises(TypeError, float.__getformat__, 1)
650 def test_double_specials_do_unpack(self):
658 def test_float_specials_do_unpack(self):
667 def test_serialized_float_rounding(self):
669 self.assertEqual(struct.pack("<f", 3.40282356e38), struct.pack("<f", FLT_MAX))
670 self.assertEqual(struct.pack("<f", -3.40282356e38), struct.pack("<f", -FLT_MAX))
674 def test_format(self):
678 self.assertEqual(format(0.0, 'f'), '0.000000')
681 self.assertEqual(format(0.0, ''), '0.0')
682 self.assertEqual(format(0.01, ''), '0.01')
683 self.assertEqual(format(0.01, 'g'), '0.01')
688 self.assertEqual(format(x, ''), str(x))
689 self.assertEqual(format(x, '-'), str(x))
690 self.assertEqual(format(x, '>'), str(x))
691 self.assertEqual(format(x, '2'), str(x))
693 self.assertEqual(format(1.0, 'f'), '1.000000')
695 self.assertEqual(format(-1.0, 'f'), '-1.000000')
697 self.assertEqual(format( 1.0, ' f'), ' 1.000000')
698 self.assertEqual(format(-1.0, ' f'), '-1.000000')
699 self.assertEqual(format( 1.0, '+f'), '+1.000000')
700 self.assertEqual(format(-1.0, '+f'), '-1.000000')
703 self.assertEqual(format(-1.0, '%'), '-100.000000%')
706 self.assertRaises(ValueError, format, 3.0, "s")
711 self.assertRaises(ValueError, format, 0.0, format_spec)
712 self.assertRaises(ValueError, format, 1.0, format_spec)
713 self.assertRaises(ValueError, format, -1.0, format_spec)
714 self.assertRaises(ValueError, format, 1e100, format_spec)
715 self.assertRaises(ValueError, format, -1e100, format_spec)
716 self.assertRaises(ValueError, format, 1e-100, format_spec)
717 self.assertRaises(ValueError, format, -1e-100, format_spec)
720 self.assertEqual(format(NAN, 'f'), 'nan')
721 self.assertEqual(format(NAN, 'F'), 'NAN')
722 self.assertEqual(format(INF, 'f'), 'inf')
723 self.assertEqual(format(INF, 'F'), 'INF')
726 def test_format_testfile(self):
737 self.assertEqual(fmt % float(arg), rhs)
738 self.assertEqual(fmt % -float(arg), '-' + rhs)
740 def test_issue5864(self):
741 self.assertEqual(format(123.456, '.4'), '123.5')
742 self.assertEqual(format(1234.56, '.4'), '1.235e+03')
743 self.assertEqual(format(12345.6, '.4'), '1.235e+04')
745 def test_issue35560(self):
746 self.assertEqual(format(123.0, '00'), '123.0')
747 self.assertEqual(format(123.34, '00f'), '123.340000')
748 self.assertEqual(format(123.34, '00e'), '1.233400e+02')
749 self.assertEqual(format(123.34, '00g'), '123.34')
750 self.assertEqual(format(123.34, '00.10f'), '123.3400000000')
751 self.assertEqual(format(123.34, '00.10e'), '1.2334000000e+02')
752 self.assertEqual(format(123.34, '00.10g'), '123.34')
753 self.assertEqual(format(123.34, '01f'), '123.340000')
755 self.assertEqual(format(-123.0, '00'), '-123.0')
756 self.assertEqual(format(-123.34, '00f'), '-123.340000')
757 self.assertEqual(format(-123.34, '00e'), '-1.233400e+02')
758 self.assertEqual(format(-123.34, '00g'), '-123.34')
759 self.assertEqual(format(-123.34, '00.10f'), '-123.3400000000')
760 self.assertEqual(format(-123.34, '00.10f'), '-123.3400000000')
761 self.assertEqual(format(-123.34, '00.10e'), '-1.2334000000e+02')
762 self.assertEqual(format(-123.34, '00.10g'), '-123.34')
765 def test_repr(self):
773 self.assertEqual(v, eval(repr(v)))
777 def test_short_repr(self):
821 self.assertEqual(s, repr(float(s)))
822 self.assertEqual(negs, repr(float(negs)))
824 self.assertEqual(repr(float(s)), str(float(s)))
825 self.assertEqual(repr(float(negs)), str(float(negs)))
830 def test_inf_nan(self):
831 self.assertRaises(OverflowError, round, INF)
832 self.assertRaises(OverflowError, round, -INF)
833 self.assertRaises(ValueError, round, NAN)
834 self.assertRaises(TypeError, round, INF, 0.0)
835 self.assertRaises(TypeError, round, -INF, 1.0)
836 self.assertRaises(TypeError, round, NAN, "ceci n'est pas un integer")
837 self.assertRaises(TypeError, round, -0.0, 1j)
839 def test_inf_nan_ndigits(self):
840 self.assertEqual(round(INF, 0), INF)
841 self.assertEqual(round(-INF, 0), -INF)
842 self.assertTrue(math.isnan(round(NAN, 0)))
844 def test_large_n(self):
846 self.assertEqual(round(123.456, n), 123.456)
847 self.assertEqual(round(-123.456, n), -123.456)
848 self.assertEqual(round(1e300, n), 1e300)
849 self.assertEqual(round(1e-320, n), 1e-320)
850 self.assertEqual(round(1e150, 300), 1e150)
851 self.assertEqual(round(1e300, 307), 1e300)
852 self.assertEqual(round(-3.1415, 308), -3.1415)
853 self.assertEqual(round(1e150, 309), 1e150)
854 self.assertEqual(round(1.4e-315, 315), 1e-315)
856 def test_small_n(self):
858 self.assertEqual(round(123.456, n), 0.0)
859 self.assertEqual(round(-123.456, n), -0.0)
860 self.assertEqual(round(1e300, n), 0.0)
861 self.assertEqual(round(1e-320, n), 0.0)
863 def test_overflow(self):
864 self.assertRaises(OverflowError, round, 1.6e308, -308)
865 self.assertRaises(OverflowError, round, -1.7e308, -308)
869 def test_previous_round_bugs(self):
871 self.assertEqual(round(562949953421312.5, 1),
873 self.assertEqual(round(56294995342131.5, 3),
876 self.assertEqual(round(25.0, -1), 20.0)
877 self.assertEqual(round(35.0, -1), 40.0)
878 self.assertEqual(round(45.0, -1), 40.0)
879 self.assertEqual(round(55.0, -1), 60.0)
880 self.assertEqual(round(65.0, -1), 60.0)
881 self.assertEqual(round(75.0, -1), 80.0)
882 self.assertEqual(round(85.0, -1), 80.0)
883 self.assertEqual(round(95.0, -1), 100.0)
887 def test_matches_float_format(self):
891 self.assertEqual(float(format(x, '.0f')), round(x, 0))
892 self.assertEqual(float(format(x, '.1f')), round(x, 1))
893 self.assertEqual(float(format(x, '.2f')), round(x, 2))
894 self.assertEqual(float(format(x, '.3f')), round(x, 3))
898 self.assertEqual(float(format(x, '.0f')), round(x, 0))
899 self.assertEqual(float(format(x, '.1f')), round(x, 1))
900 self.assertEqual(float(format(x, '.2f')), round(x, 2))
901 self.assertEqual(float(format(x, '.3f')), round(x, 3))
905 self.assertEqual(float(format(x, '.0f')), round(x, 0))
906 self.assertEqual(float(format(x, '.1f')), round(x, 1))
907 self.assertEqual(float(format(x, '.2f')), round(x, 2))
908 self.assertEqual(float(format(x, '.3f')), round(x, 3))
910 def test_format_specials(self):
915 self.assertEqual(fmt % value, expected, fmt)
917 self.assertEqual(format(value, fmt), expected, fmt)
940 def test_None_ndigits(self):
942 self.assertEqual(x, 1)
943 self.assertIsInstance(x, int)
945 self.assertEqual(x, 2)
946 self.assertIsInstance(x, int)
952 def test_inf_from_str(self):
953 self.assertTrue(isinf(float("inf")))
954 self.assertTrue(isinf(float("+inf")))
955 self.assertTrue(isinf(float("-inf")))
956 self.assertTrue(isinf(float("infinity")))
957 self.assertTrue(isinf(float("+infinity")))
958 self.assertTrue(isinf(float("-infinity")))
960 self.assertEqual(repr(float("inf")), "inf")
961 self.assertEqual(repr(float("+inf")), "inf")
962 self.assertEqual(repr(float("-inf")), "-inf")
963 self.assertEqual(repr(float("infinity")), "inf")
964 self.assertEqual(repr(float("+infinity")), "inf")
965 self.assertEqual(repr(float("-infinity")), "-inf")
967 self.assertEqual(repr(float("INF")), "inf")
968 self.assertEqual(repr(float("+Inf")), "inf")
969 self.assertEqual(repr(float("-iNF")), "-inf")
970 self.assertEqual(repr(float("Infinity")), "inf")
971 self.assertEqual(repr(float("+iNfInItY")), "inf")
972 self.assertEqual(repr(float("-INFINITY")), "-inf")
974 self.assertEqual(str(float("inf")), "inf")
975 self.assertEqual(str(float("+inf")), "inf")
976 self.assertEqual(str(float("-inf")), "-inf")
977 self.assertEqual(str(float("infinity")), "inf")
978 self.assertEqual(str(float("+infinity")), "inf")
979 self.assertEqual(str(float("-infinity")), "-inf")
981 self.assertRaises(ValueError, float, "info")
982 self.assertRaises(ValueError, float, "+info")
983 self.assertRaises(ValueError, float, "-info")
984 self.assertRaises(ValueError, float, "in")
985 self.assertRaises(ValueError, float, "+in")
986 self.assertRaises(ValueError, float, "-in")
987 self.assertRaises(ValueError, float, "infinit")
988 self.assertRaises(ValueError, float, "+Infin")
989 self.assertRaises(ValueError, float, "-INFI")
990 self.assertRaises(ValueError, float, "infinitys")
992 self.assertRaises(ValueError, float, "++Inf")
993 self.assertRaises(ValueError, float, "-+inf")
994 self.assertRaises(ValueError, float, "+-infinity")
995 self.assertRaises(ValueError, float, "--Infinity")
997 def test_inf_as_str(self):
998 self.assertEqual(repr(1e300 * 1e300), "inf")
999 self.assertEqual(repr(-1e300 * 1e300), "-inf")
1001 self.assertEqual(str(1e300 * 1e300), "inf")
1002 self.assertEqual(str(-1e300 * 1e300), "-inf")
1004 def test_nan_from_str(self):
1005 self.assertTrue(isnan(float("nan")))
1006 self.assertTrue(isnan(float("+nan")))
1007 self.assertTrue(isnan(float("-nan")))
1009 self.assertEqual(repr(float("nan")), "nan")
1010 self.assertEqual(repr(float("+nan")), "nan")
1011 self.assertEqual(repr(float("-nan")), "nan")
1013 self.assertEqual(repr(float("NAN")), "nan")
1014 self.assertEqual(repr(float("+NAn")), "nan")
1015 self.assertEqual(repr(float("-NaN")), "nan")
1017 self.assertEqual(str(float("nan")), "nan")
1018 self.assertEqual(str(float("+nan")), "nan")
1019 self.assertEqual(str(float("-nan")), "nan")
1021 self.assertRaises(ValueError, float, "nana")
1022 self.assertRaises(ValueError, float, "+nana")
1023 self.assertRaises(ValueError, float, "-nana")
1024 self.assertRaises(ValueError, float, "na")
1025 self.assertRaises(ValueError, float, "+na")
1026 self.assertRaises(ValueError, float, "-na")
1028 self.assertRaises(ValueError, float, "++nan")
1029 self.assertRaises(ValueError, float, "-+NAN")
1030 self.assertRaises(ValueError, float, "+-NaN")
1031 self.assertRaises(ValueError, float, "--nAn")
1033 def test_nan_as_str(self):
1034 self.assertEqual(repr(1e300 * 1e300 * 0), "nan")
1035 self.assertEqual(repr(-1e300 * 1e300 * 0), "nan")
1037 self.assertEqual(str(1e300 * 1e300 * 0), "nan")
1038 self.assertEqual(str(-1e300 * 1e300 * 0), "nan")
1040 def test_inf_signs(self):
1041 self.assertEqual(copysign(1.0, float('inf')), 1.0)
1042 self.assertEqual(copysign(1.0, float('-inf')), -1.0)
1046 def test_nan_signs(self):
1049 self.assertEqual(copysign(1.0, float('nan')), 1.0)
1050 self.assertEqual(copysign(1.0, float('-nan')), -1.0)
1061 def identical(self, x, y):
1069 self.fail('%r not identical to %r' % (x, y))
1071 def test_ends(self):
1072 self.identical(self.MIN, ldexp(1.0, -1022))
1073 self.identical(self.TINY, ldexp(1.0, -1074))
1074 self.identical(self.EPS, ldexp(1.0, -52))
1075 self.identical(self.MAX, 2.*(ldexp(1.0, 1023) - ldexp(1.0, 970)))
1077 def test_invalid_inputs(self):
1137 self.fail('Expected float.fromhex(%r) to raise ValueError; '
1141 def test_whitespace(self):
1164 self.identical(got, expected)
1167 def test_from_hex(self):
1168 MIN = self.MIN
1169 MAX = self.MAX
1170 TINY = self.TINY
1171 EPS = self.EPS
1174 self.identical(fromHex('inf'), INF)
1175 self.identical(fromHex('+Inf'), INF)
1176 self.identical(fromHex('-INF'), -INF)
1177 self.identical(fromHex('iNf'), INF)
1178 self.identical(fromHex('Infinity'), INF)
1179 self.identical(fromHex('+INFINITY'), INF)
1180 self.identical(fromHex('-infinity'), -INF)
1181 self.identical(fromHex('-iNFiNitY'), -INF)
1184 self.identical(fromHex('nan'), NAN)
1185 self.identical(fromHex('+NaN'), NAN)
1186 self.identical(fromHex('-NaN'), NAN)
1187 self.identical(fromHex('-nAN'), NAN)
1190 self.identical(fromHex('1'), 1.0)
1191 self.identical(fromHex('+1'), 1.0)
1192 self.identical(fromHex('1.'), 1.0)
1193 self.identical(fromHex('1.0'), 1.0)
1194 self.identical(fromHex('1.0p0'), 1.0)
1195 self.identical(fromHex('01'), 1.0)
1196 self.identical(fromHex('01.'), 1.0)
1197 self.identical(fromHex('0x1'), 1.0)
1198 self.identical(fromHex('0x1.'), 1.0)
1199 self.identical(fromHex('0x1.0'), 1.0)
1200 self.identical(fromHex('+0x1.0'), 1.0)
1201 self.identical(fromHex('0x1p0'), 1.0)
1202 self.identical(fromHex('0X1p0'), 1.0)
1203 self.identical(fromHex('0X1P0'), 1.0)
1204 self.identical(fromHex('0x1P0'), 1.0)
1205 self.identical(fromHex('0x1.p0'), 1.0)
1206 self.identical(fromHex('0x1.0p0'), 1.0)
1207 self.identical(fromHex('0x.1p4'), 1.0)
1208 self.identical(fromHex('0x.1p04'), 1.0)
1209 self.identical(fromHex('0x.1p004'), 1.0)
1210 self.identical(fromHex('0x1p+0'), 1.0)
1211 self.identical(fromHex('0x1P-0'), 1.0)
1212 self.identical(fromHex('+0x1p0'), 1.0)
1213 self.identical(fromHex('0x01p0'), 1.0)
1214 self.identical(fromHex('0x1p00'), 1.0)
1215 self.identical(fromHex(' 0x1p0 '), 1.0)
1216 self.identical(fromHex('\n 0x1p0'), 1.0)
1217 self.identical(fromHex('0x1p0 \t'), 1.0)
1218 self.identical(fromHex('0xap0'), 10.0)
1219 self.identical(fromHex('0xAp0'), 10.0)
1220 self.identical(fromHex('0xaP0'), 10.0)
1221 self.identical(fromHex('0xAP0'), 10.0)
1222 self.identical(fromHex('0xbep0'), 190.0)
1223 self.identical(fromHex('0xBep0'), 190.0)
1224 self.identical(fromHex('0xbEp0'), 190.0)
1225 self.identical(fromHex('0XBE0P-4'), 190.0)
1226 self.identical(fromHex('0xBEp0'), 190.0)
1227 self.identical(fromHex('0xB.Ep4'), 190.0)
1228 self.identical(fromHex('0x.BEp8'), 190.0)
1229 self.identical(fromHex('0x.0BEp12'), 190.0)
1233 self.identical(fromHex('0x.006487ed5110b46p11'), pi)
1234 self.identical(fromHex('0x.00c90fdaa22168cp10'), pi)
1235 self.identical(fromHex('0x.01921fb54442d18p9'), pi)
1236 self.identical(fromHex('0x.03243f6a8885a3p8'), pi)
1237 self.identical(fromHex('0x.06487ed5110b46p7'), pi)
1238 self.identical(fromHex('0x.0c90fdaa22168cp6'), pi)
1239 self.identical(fromHex('0x.1921fb54442d18p5'), pi)
1240 self.identical(fromHex('0x.3243f6a8885a3p4'), pi)
1241 self.identical(fromHex('0x.6487ed5110b46p3'), pi)
1242 self.identical(fromHex('0x.c90fdaa22168cp2'), pi)
1243 self.identical(fromHex('0x1.921fb54442d18p1'), pi)
1244 self.identical(fromHex('0x3.243f6a8885a3p0'), pi)
1245 self.identical(fromHex('0x6.487ed5110b46p-1'), pi)
1246 self.identical(fromHex('0xc.90fdaa22168cp-2'), pi)
1247 self.identical(fromHex('0x19.21fb54442d18p-3'), pi)
1248 self.identical(fromHex('0x32.43f6a8885a3p-4'), pi)
1249 self.identical(fromHex('0x64.87ed5110b46p-5'), pi)
1250 self.identical(fromHex('0xc9.0fdaa22168cp-6'), pi)
1251 self.identical(fromHex('0x192.1fb54442d18p-7'), pi)
1252 self.identical(fromHex('0x324.3f6a8885a3p-8'), pi)
1253 self.identical(fromHex('0x648.7ed5110b46p-9'), pi)
1254 self.identical(fromHex('0xc90.fdaa22168cp-10'), pi)
1255 self.identical(fromHex('0x1921.fb54442d18p-11'), pi)
1257 self.identical(fromHex('0x1921fb54442d1.8p-47'), pi)
1258 self.identical(fromHex('0x3243f6a8885a3p-48'), pi)
1259 self.identical(fromHex('0x6487ed5110b46p-49'), pi)
1260 self.identical(fromHex('0xc90fdaa22168cp-50'), pi)
1261 self.identical(fromHex('0x1921fb54442d18p-51'), pi)
1262 self.identical(fromHex('0x3243f6a8885a30p-52'), pi)
1263 self.identical(fromHex('0x6487ed5110b460p-53'), pi)
1264 self.identical(fromHex('0xc90fdaa22168c0p-54'), pi)
1265 self.identical(fromHex('0x1921fb54442d180p-55'), pi)
1269 self.assertRaises(OverflowError, fromHex, '-0x1p1024')
1270 self.assertRaises(OverflowError, fromHex, '0x1p+1025')
1271 self.assertRaises(OverflowError, fromHex, '+0X1p1030')
1272 self.assertRaises(OverflowError, fromHex, '-0x1p+1100')
1273 self.assertRaises(OverflowError, fromHex, '0X1p123456789123456789')
1274 self.assertRaises(OverflowError, fromHex, '+0X.8p+1025')
1275 self.assertRaises(OverflowError, fromHex, '+0x0.8p1025')
1276 self.assertRaises(OverflowError, fromHex, '-0x0.4p1026')
1277 self.assertRaises(OverflowError, fromHex, '0X2p+1023')
1278 self.assertRaises(OverflowError, fromHex, '0x2.p1023')
1279 self.assertRaises(OverflowError, fromHex, '-0x2.0p+1023')
1280 self.assertRaises(OverflowError, fromHex, '+0X4p+1022')
1281 self.assertRaises(OverflowError, fromHex, '0x1.ffffffffffffffp+1023')
1282 self.assertRaises(OverflowError, fromHex, '-0X1.fffffffffffff9p1023')
1283 self.assertRaises(OverflowError, fromHex, '0X1.fffffffffffff8p1023')
1284 self.assertRaises(OverflowError, fromHex, '+0x3.fffffffffffffp1022')
1285 self.assertRaises(OverflowError, fromHex, '0x3fffffffffffffp+970')
1286 self.assertRaises(OverflowError, fromHex, '0x10000000000000000p960')
1287 self.assertRaises(OverflowError, fromHex, '-0Xffffffffffffffffp960')
1290 self.identical(fromHex('+0x1.fffffffffffffp+1023'), MAX)
1291 self.identical(fromHex('-0X1.fffffffffffff7p1023'), -MAX)
1292 self.identical(fromHex('0X1.fffffffffffff7fffffffffffffp1023'), MAX)
1295 self.identical(fromHex('0x0p0'), 0.0)
1296 self.identical(fromHex('0x0p1000'), 0.0)
1297 self.identical(fromHex('-0x0p1023'), -0.0)
1298 self.identical(fromHex('0X0p1024'), 0.0)
1299 self.identical(fromHex('-0x0p1025'), -0.0)
1300 self.identical(fromHex('0X0p2000'), 0.0)
1301 self.identical(fromHex('0x0p123456789123456789'), 0.0)
1302 self.identical(fromHex('-0X0p-0'), -0.0)
1303 self.identical(fromHex('-0X0p-1000'), -0.0)
1304 self.identical(fromHex('0x0p-1023'), 0.0)
1305 self.identical(fromHex('-0X0p-1024'), -0.0)
1306 self.identical(fromHex('-0x0p-1025'), -0.0)
1307 self.identical(fromHex('-0x0p-1072'), -0.0)
1308 self.identical(fromHex('0X0p-1073'), 0.0)
1309 self.identical(fromHex('-0x0p-1074'), -0.0)
1310 self.identical(fromHex('0x0p-1075'), 0.0)
1311 self.identical(fromHex('0X0p-1076'), 0.0)
1312 self.identical(fromHex('-0X0p-2000'), -0.0)
1313 self.identical(fromHex('-0x0p-123456789123456789'), -0.0)
1316 self.identical(fromHex('0X1p-1075'), 0.0)
1317 self.identical(fromHex('-0X1p-1075'), -0.0)
1318 self.identical(fromHex('-0x1p-123456789123456789'), -0.0)
1319 self.identical(fromHex('0x1.00000000000000001p-1075'), TINY)
1320 self.identical(fromHex('-0x1.1p-1075'), -TINY)
1321 self.identical(fromHex('0x1.fffffffffffffffffp-1075'), TINY)
1324 self.identical(fromHex('0x1p-1076'), 0.0)
1325 self.identical(fromHex('0X2p-1076'), 0.0)
1326 self.identical(fromHex('0X3p-1076'), TINY)
1327 self.identical(fromHex('0x4p-1076'), TINY)
1328 self.identical(fromHex('0X5p-1076'), TINY)
1329 self.identical(fromHex('0X6p-1076'), 2*TINY)
1330 self.identical(fromHex('0x7p-1076'), 2*TINY)
1331 self.identical(fromHex('0X8p-1076'), 2*TINY)
1332 self.identical(fromHex('0X9p-1076'), 2*TINY)
1333 self.identical(fromHex('0xap-1076'), 2*TINY)
1334 self.identical(fromHex('0Xbp-1076'), 3*TINY)
1335 self.identical(fromHex('0xcp-1076'), 3*TINY)
1336 self.identical(fromHex('0Xdp-1076'), 3*TINY)
1337 self.identical(fromHex('0Xep-1076'), 4*TINY)
1338 self.identical(fromHex('0xfp-1076'), 4*TINY)
1339 self.identical(fromHex('0x10p-1076'), 4*TINY)
1340 self.identical(fromHex('-0x1p-1076'), -0.0)
1341 self.identical(fromHex('-0X2p-1076'), -0.0)
1342 self.identical(fromHex('-0x3p-1076'), -TINY)
1343 self.identical(fromHex('-0X4p-1076'), -TINY)
1344 self.identical(fromHex('-0x5p-1076'), -TINY)
1345 self.identical(fromHex('-0x6p-1076'), -2*TINY)
1346 self.identical(fromHex('-0X7p-1076'), -2*TINY)
1347 self.identical(fromHex('-0X8p-1076'), -2*TINY)
1348 self.identical(fromHex('-0X9p-1076'), -2*TINY)
1349 self.identical(fromHex('-0Xap-1076'), -2*TINY)
1350 self.identical(fromHex('-0xbp-1076'), -3*TINY)
1351 self.identical(fromHex('-0xcp-1076'), -3*TINY)
1352 self.identical(fromHex('-0Xdp-1076'), -3*TINY)
1353 self.identical(fromHex('-0xep-1076'), -4*TINY)
1354 self.identical(fromHex('-0Xfp-1076'), -4*TINY)
1355 self.identical(fromHex('-0X10p-1076'), -4*TINY)
1358 self.identical(fromHex('0x0.ffffffffffffd6p-1022'), MIN-3*TINY)
1359 self.identical(fromHex('0x0.ffffffffffffd8p-1022'), MIN-2*TINY)
1360 self.identical(fromHex('0x0.ffffffffffffdap-1022'), MIN-2*TINY)
1361 self.identical(fromHex('0x0.ffffffffffffdcp-1022'), MIN-2*TINY)
1362 self.identical(fromHex('0x0.ffffffffffffdep-1022'), MIN-2*TINY)
1363 self.identical(fromHex('0x0.ffffffffffffe0p-1022'), MIN-2*TINY)
1364 self.identical(fromHex('0x0.ffffffffffffe2p-1022'), MIN-2*TINY)
1365 self.identical(fromHex('0x0.ffffffffffffe4p-1022'), MIN-2*TINY)
1366 self.identical(fromHex('0x0.ffffffffffffe6p-1022'), MIN-2*TINY)
1367 self.identical(fromHex('0x0.ffffffffffffe8p-1022'), MIN-2*TINY)
1368 self.identical(fromHex('0x0.ffffffffffffeap-1022'), MIN-TINY)
1369 self.identical(fromHex('0x0.ffffffffffffecp-1022'), MIN-TINY)
1370 self.identical(fromHex('0x0.ffffffffffffeep-1022'), MIN-TINY)
1371 self.identical(fromHex('0x0.fffffffffffff0p-1022'), MIN-TINY)
1372 self.identical(fromHex('0x0.fffffffffffff2p-1022'), MIN-TINY)
1373 self.identical(fromHex('0x0.fffffffffffff4p-1022'), MIN-TINY)
1374 self.identical(fromHex('0x0.fffffffffffff6p-1022'), MIN-TINY)
1375 self.identical(fromHex('0x0.fffffffffffff8p-1022'), MIN)
1376 self.identical(fromHex('0x0.fffffffffffffap-1022'), MIN)
1377 self.identical(fromHex('0x0.fffffffffffffcp-1022'), MIN)
1378 self.identical(fromHex('0x0.fffffffffffffep-1022'), MIN)
1379 self.identical(fromHex('0x1.00000000000000p-1022'), MIN)
1380 self.identical(fromHex('0x1.00000000000002p-1022'), MIN)
1381 self.identical(fromHex('0x1.00000000000004p-1022'), MIN)
1382 self.identical(fromHex('0x1.00000000000006p-1022'), MIN)
1383 self.identical(fromHex('0x1.00000000000008p-1022'), MIN)
1384 self.identical(fromHex('0x1.0000000000000ap-1022'), MIN+TINY)
1385 self.identical(fromHex('0x1.0000000000000cp-1022'), MIN+TINY)
1386 self.identical(fromHex('0x1.0000000000000ep-1022'), MIN+TINY)
1387 self.identical(fromHex('0x1.00000000000010p-1022'), MIN+TINY)
1388 self.identical(fromHex('0x1.00000000000012p-1022'), MIN+TINY)
1389 self.identical(fromHex('0x1.00000000000014p-1022'), MIN+TINY)
1390 self.identical(fromHex('0x1.00000000000016p-1022'), MIN+TINY)
1391 self.identical(fromHex('0x1.00000000000018p-1022'), MIN+2*TINY)
1394 self.identical(fromHex('0x0.fffffffffffff0p0'), 1.0-EPS)
1395 self.identical(fromHex('0x0.fffffffffffff1p0'), 1.0-EPS)
1396 self.identical(fromHex('0X0.fffffffffffff2p0'), 1.0-EPS)
1397 self.identical(fromHex('0x0.fffffffffffff3p0'), 1.0-EPS)
1398 self.identical(fromHex('0X0.fffffffffffff4p0'), 1.0-EPS)
1399 self.identical(fromHex('0X0.fffffffffffff5p0'), 1.0-EPS/2)
1400 self.identical(fromHex('0X0.fffffffffffff6p0'), 1.0-EPS/2)
1401 self.identical(fromHex('0x0.fffffffffffff7p0'), 1.0-EPS/2)
1402 self.identical(fromHex('0x0.fffffffffffff8p0'), 1.0-EPS/2)
1403 self.identical(fromHex('0X0.fffffffffffff9p0'), 1.0-EPS/2)
1404 self.identical(fromHex('0X0.fffffffffffffap0'), 1.0-EPS/2)
1405 self.identical(fromHex('0x0.fffffffffffffbp0'), 1.0-EPS/2)
1406 self.identical(fromHex('0X0.fffffffffffffcp0'), 1.0)
1407 self.identical(fromHex('0x0.fffffffffffffdp0'), 1.0)
1408 self.identical(fromHex('0X0.fffffffffffffep0'), 1.0)
1409 self.identical(fromHex('0x0.ffffffffffffffp0'), 1.0)
1410 self.identical(fromHex('0X1.00000000000000p0'), 1.0)
1411 self.identical(fromHex('0X1.00000000000001p0'), 1.0)
1412 self.identical(fromHex('0x1.00000000000002p0'), 1.0)
1413 self.identical(fromHex('0X1.00000000000003p0'), 1.0)
1414 self.identical(fromHex('0x1.00000000000004p0'), 1.0)
1415 self.identical(fromHex('0X1.00000000000005p0'), 1.0)
1416 self.identical(fromHex('0X1.00000000000006p0'), 1.0)
1417 self.identical(fromHex('0X1.00000000000007p0'), 1.0)
1418 self.identical(fromHex('0x1.00000000000007ffffffffffffffffffffp0'),
1420 self.identical(fromHex('0x1.00000000000008p0'), 1.0)
1421 self.identical(fromHex('0x1.00000000000008000000000000000001p0'),
1423 self.identical(fromHex('0X1.00000000000009p0'), 1.0+EPS)
1424 self.identical(fromHex('0x1.0000000000000ap0'), 1.0+EPS)
1425 self.identical(fromHex('0x1.0000000000000bp0'), 1.0+EPS)
1426 self.identical(fromHex('0X1.0000000000000cp0'), 1.0+EPS)
1427 self.identical(fromHex('0x1.0000000000000dp0'), 1.0+EPS)
1428 self.identical(fromHex('0x1.0000000000000ep0'), 1.0+EPS)
1429 self.identical(fromHex('0X1.0000000000000fp0'), 1.0+EPS)
1430 self.identical(fromHex('0x1.00000000000010p0'), 1.0+EPS)
1431 self.identical(fromHex('0X1.00000000000011p0'), 1.0+EPS)
1432 self.identical(fromHex('0x1.00000000000012p0'), 1.0+EPS)
1433 self.identical(fromHex('0X1.00000000000013p0'), 1.0+EPS)
1434 self.identical(fromHex('0X1.00000000000014p0'), 1.0+EPS)
1435 self.identical(fromHex('0x1.00000000000015p0'), 1.0+EPS)
1436 self.identical(fromHex('0x1.00000000000016p0'), 1.0+EPS)
1437 self.identical(fromHex('0X1.00000000000017p0'), 1.0+EPS)
1438 self.identical(fromHex('0x1.00000000000017ffffffffffffffffffffp0'),
1440 self.identical(fromHex('0x1.00000000000018p0'), 1.0+2*EPS)
1441 self.identical(fromHex('0X1.00000000000018000000000000000001p0'),
1443 self.identical(fromHex('0x1.00000000000019p0'), 1.0+2*EPS)
1444 self.identical(fromHex('0X1.0000000000001ap0'), 1.0+2*EPS)
1445 self.identical(fromHex('0X1.0000000000001bp0'), 1.0+2*EPS)
1446 self.identical(fromHex('0x1.0000000000001cp0'), 1.0+2*EPS)
1447 self.identical(fromHex('0x1.0000000000001dp0'), 1.0+2*EPS)
1448 self.identical(fromHex('0x1.0000000000001ep0'), 1.0+2*EPS)
1449 self.identical(fromHex('0X1.0000000000001fp0'), 1.0+2*EPS)
1450 self.identical(fromHex('0x1.00000000000020p0'), 1.0+2*EPS)
1453 self.identical(fromHex('0x.8p-1074'), 0.0)
1454 self.identical(fromHex('0x.80p-1074'), 0.0)
1455 self.identical(fromHex('0x.81p-1074'), TINY)
1456 self.identical(fromHex('0x8p-1078'), 0.0)
1457 self.identical(fromHex('0x8.0p-1078'), 0.0)
1458 self.identical(fromHex('0x8.1p-1078'), TINY)
1459 self.identical(fromHex('0x80p-1082'), 0.0)
1460 self.identical(fromHex('0x81p-1082'), TINY)
1461 self.identical(fromHex('.8p-1074'), 0.0)
1462 self.identical(fromHex('8p-1078'), 0.0)
1463 self.identical(fromHex('-.8p-1074'), -0.0)
1464 self.identical(fromHex('+8p-1078'), 0.0)
1466 def test_roundtrip(self):
1470 for x in [NAN, INF, self.MAX, self.MIN, self.MIN-self.TINY, self.TINY, 0.0]:
1471 self.identical(x, roundtrip(x))
1472 self.identical(-x, roundtrip(-x))
1485 self.identical(x, fromHex(toHex(x)))
1487 def test_subclass(self):
1493 self.assertIs(type(f), F)
1494 self.assertEqual(f, 2.5)
1497 def __init__(self, value):
1498 self.foo = 'bar'
1501 self.assertIs(type(f), F2)
1502 self.assertEqual(f, 1.5)
1503 self.assertEqual(getattr(f, 'foo', 'none'), 'bar')
1518 def test_pack(self):
1519 self.assertEqual(_testcapi.float_pack(2, 1.5, BIG_ENDIAN),
1521 self.assertEqual(_testcapi.float_pack(4, 1.5, BIG_ENDIAN),
1523 self.assertEqual(_testcapi.float_pack(8, 1.5, BIG_ENDIAN),
1525 self.assertEqual(_testcapi.float_pack(2, 1.5, LITTLE_ENDIAN),
1527 self.assertEqual(_testcapi.float_pack(4, 1.5, LITTLE_ENDIAN),
1529 self.assertEqual(_testcapi.float_pack(8, 1.5, LITTLE_ENDIAN),
1532 def test_unpack(self):
1533 self.assertEqual(_testcapi.float_unpack(b'>\x00', BIG_ENDIAN),
1535 self.assertEqual(_testcapi.float_unpack(b'?\xc0\x00\x00', BIG_ENDIAN),
1537 self.assertEqual(_testcapi.float_unpack(b'?\xf8\x00\x00\x00\x00\x00\x00', BIG_ENDIAN),
1539 self.assertEqual(_testcapi.float_unpack(b'\x00>', LITTLE_ENDIAN),
1541 self.assertEqual(_testcapi.float_unpack(b'\x00\x00\xc0?', LITTLE_ENDIAN),
1543 self.assertEqual(_testcapi.float_unpack(b'\x00\x00\x00\x00\x00\x00\xf8?', LITTLE_ENDIAN),
1546 def test_roundtrip(self):
1558 with self.subTest(value=value, size=size, endian=endian):
1562 self.assertTrue(isnan(value2), (value, value2))
1564 self.assertTrue(math.isclose(value2, value, rel_tol=rel_tol),
1567 self.assertEqual(value2, value)