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
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
|
require 'test/unit'
require 'require_relative'
require_relative 'allpairs'
class TestSprintfComb < Test::Unit::TestCase
VS = [
#-0x1000000000000000000000000000000000000000000000002,
#-0x1000000000000000000000000000000000000000000000001,
#-0x1000000000000000000000000000000000000000000000000,
#-0xffffffffffffffffffffffffffffffffffffffffffffffff,
#-0x1000000000000000000000002,
#-0x1000000000000000000000001,
#-0x1000000000000000000000000,
#-0xffffffffffffffffffffffff,
-0x10000000000000002,
-0x10000000000000001,
-0x10000000000000000,
-0xffffffffffffffff,
-0x4000000000000002,
-0x4000000000000001,
-0x4000000000000000,
-0x3fffffffffffffff,
-0x100000002,
-0x100000001,
-0x100000000,
-0xffffffff,
#-0xc717a08d, # 0xc717a08d * 0x524b2245 = 0x4000000000000001
-0x80000002,
-0x80000001,
-0x80000000,
-0x7fffffff,
#-0x524b2245,
-0x40000002,
-0x40000001,
-0x40000000,
-0x3fffffff,
#-0x10002,
#-0x10001,
#-0x10000,
#-0xffff,
#-0x8101, # 0x8101 * 0x7f01 = 0x40000001
#-0x8002,
#-0x8001,
#-0x8000,
#-0x7fff,
#-0x7f01,
#-65,
#-64,
#-63,
#-62,
#-33,
#-32,
#-31,
#-30,
-3,
-2,
-1,
0,
1,
2,
3,
#30,
#31,
#32,
#33,
#62,
#63,
#64,
#65,
#0x7f01,
#0x7ffe,
#0x7fff,
#0x8000,
#0x8001,
#0x8101,
#0xfffe,
#0xffff,
#0x10000,
#0x10001,
0x3ffffffe,
0x3fffffff,
0x40000000,
0x40000001,
#0x524b2245,
0x7ffffffe,
0x7fffffff,
0x80000000,
0x80000001,
#0xc717a08d,
0xfffffffe,
0xffffffff,
0x100000000,
0x100000001,
0x3ffffffffffffffe,
0x3fffffffffffffff,
0x4000000000000000,
0x4000000000000001,
0xfffffffffffffffe,
0xffffffffffffffff,
0x10000000000000000,
0x10000000000000001,
#0xffffffffffffffffffffffff,
#0x1000000000000000000000000,
#0x1000000000000000000000001,
#0xffffffffffffffffffffffffffffffffffffffffffffffff,
#0x1000000000000000000000000000000000000000000000000,
#0x1000000000000000000000000000000000000000000000001
]
VS.reverse!
def combination(*args, &b)
#AllPairs.exhaustive_each(*args, &b)
AllPairs.each(*args, &b)
end
def emu_int(format, v)
/\A%( )?(\#)?(\+)?(-)?(0)?(\d+)?(?:\.(\d*))?(.)\z/ =~ format
sp = $1
hs = $2
pl = $3
mi = $4
zr = $5
width = $6
precision = $7
type = $8
width = width.to_i if width
precision = precision.to_i if precision
prefix = ''
zr = nil if precision
zr = nil if mi && zr
case type
when 'b'
radix = 2
digitmap = {0 => '0', 1 => '1'}
complement = !pl && !sp
prefix = '0b' if hs && v != 0
when 'd'
radix = 10
digitmap = {}
10.times {|i| digitmap[i] = i.to_s }
complement = false
when 'o'
radix = 8
digitmap = {}
8.times {|i| digitmap[i] = i.to_s }
complement = !pl && !sp
when 'X'
radix = 16
digitmap = {}
16.times {|i| digitmap[i] = i.to_s(16).upcase }
complement = !pl && !sp
prefix = '0X' if hs && v != 0
when 'x'
radix = 16
digitmap = {}
16.times {|i| digitmap[i] = i.to_s(16) }
complement = !pl && !sp
prefix = '0x' if hs && v != 0
else
raise "unexpected type: #{type.inspect}"
end
digits = []
abs = v.abs
sign = ''
while 0 < abs
digits << (abs % radix)
abs /= radix
end
if v < 0
if complement
digits.map! {|d| radix-1 - d }
carry = 1
digits.each_index {|i|
digits[i] += carry
carry = 0
if radix <= digits[i]
digits[i] -= radix
carry = 1
end
}
if digits.last != radix-1
digits << (radix-1)
end
sign = '..'
else
sign = '-'
end
else
if pl
sign = '+'
elsif sp
sign = ' '
end
end
dlen = digits.length
dlen += 2 if sign == '..'
if v < 0 && complement
d = radix - 1
else
d = 0
end
if precision
if dlen < precision
(precision - dlen).times {
digits << d
}
end
else
if dlen == 0
digits << d
end
end
if type == 'o' && hs
if digits.empty? || digits.last != d
digits << d
end
end
digits.reverse!
str = digits.map {|d| digitmap[d] }.join
pad = ''
nlen = prefix.length + sign.length + str.length
if width && nlen < width
len = width - nlen
if zr
if complement && v < 0
pad = digitmap[radix-1] * len
else
pad = '0' * len
end
else
pad = ' ' * len
end
end
if / / =~ pad
if sign == '..'
str = prefix + sign + str
else
str = sign + prefix + str
end
if mi
str = str + pad
else
str = pad + str
end
else
if sign == '..'
str = prefix + sign + pad + str
else
str = sign + prefix + pad + str
end
end
str
end
def test_format_integer
combination(
%w[b d o X x],
[nil, 0, 5, 20],
["", ".", ".0", ".8", ".20"],
['', ' '],
['', '#'],
['', '+'],
['', '-'],
['', '0']) {|type, width, precision, sp, hs, pl, mi, zr|
format = "%#{sp}#{hs}#{pl}#{mi}#{zr}#{width}#{precision}#{type}"
VS.each {|v|
r = sprintf format, v
e = emu_int format, v
if true
assert_equal(e, r, "sprintf(#{format.dump}, #{v})")
else
if e != r
puts "#{e.dump}\t#{r.dump}\tsprintf(#{format.dump}, #{v})"
end
end
}
}
end
FLOAT_VALUES = [
-1e100,
-123456789.0,
-1.0,
-0.0,
0.0,
0.01,
1/3.0,
2/3.0,
1.0,
2.0,
9.99999999,
123456789.0,
1e100,
Float::MAX,
Float::MIN,
Float::EPSILON,
1+Float::EPSILON,
#1-Float::EPSILON/2,
10 + Float::EPSILON*10,
10 - Float::EPSILON*5,
1.0/0.0,
-1.0/0.0,
0.0/0.0,
]
def split_float10(v)
if v == 0
if 1/v < 0
sign = -1
v = -v
else
sign = 1
end
else
if v < 0
sign = -1
v = -v
else
sign = 1
end
end
exp = 0
int = v.floor
v -= int
while v != 0
v *= 2
int *= 2
i = v.floor
v -= i
int += i
exp -= 1
end
int *= 5 ** (-exp)
[sign, int, exp]
end
def emu_e(sp, hs, pl, mi, zr, width, precision, type, v, sign, int, exp)
precision = 6 unless precision
if int == 0
if precision == 0 && !hs
result = "0#{type}+00"
else
result = "0." + "0" * precision + "#{type}+00"
end
else
if int < 10**precision
int *= 10**precision
exp -= precision
end
digits = int.to_s.length
discard = digits - (precision+1)
if discard != 0
q, r = int.divmod(10**discard)
if r < 10**discard / 2
int = q
exp += discard
elsif (q+1).to_s.length == q.to_s.length
int = q+1
exp += discard
else
discard += 1
q, r = int.divmod(10**discard)
int = q+1
exp += discard
end
end
ints = int.to_s
frac = ints[1..-1]
result = ints[0,1]
e = exp + frac.length
if precision != 0 || hs
result << "."
if precision != 0
result << frac
end
end
result << type
if e == 0
if v.abs < 1
result << '-00' # glibc 2.7 causes '+00'
else
result << '+00'
end
else
result << sprintf("%+03d", e)
end
result
end
result
end
def emu_f(sp, hs, pl, mi, zr, width, precision, type, sign, int, exp)
precision = 6 unless precision
if int == 0
if precision == 0 && !hs
result = '0'
else
result = '0.' + '0' * precision
end
else
if -precision < exp
int *= 10 ** (precision+exp)
exp = -precision
end
if exp < -precision
discard = -exp - precision
q, r = int.divmod(10**discard)
if 10**discard / 2 <= r
q += 1
end
int = q
exp += discard
end
result = int.to_s
if result.length <= precision
result = '0' * (precision+1 - result.length) + result
end
if precision != 0 || hs
if precision == 0
result << '.'
else
result[-precision,0] = '.'
end
end
end
result
end
def emu_float(format, v)
/\A%( )?(\#)?(\+)?(-)?(0)?(\d+)?(?:\.(\d*))?(.)\z/ =~ format
sp = $1
hs = $2
pl = $3
mi = $4
zr = $5
width = $6
precision = $7
type = $8
width = width.to_i if width
precision = precision.to_i if precision
zr = nil if mi && zr
if v.infinite?
sign = v < 0 ? -1 : 1
int = :inf
hs = zr = nil
elsif v.nan?
sign = 1
int = :nan
hs = zr = nil
else
sign, int, exp = split_float10(v)
end
if sign < 0
sign = '-'
elsif sign == 0
sign = ''
elsif pl
sign = '+'
elsif sp
sign = ' '
else
sign = ''
end
if v.nan?
result = 'NaN'
elsif v.infinite?
result = 'Inf'
else
case type
when /[eE]/
result = emu_e(sp, hs, pl, mi, zr, width, precision, type, v, sign, int, exp)
when /f/
result = emu_f(sp, hs, pl, mi, zr, width, precision, type, sign, int, exp)
when /[gG]/
precision = 6 unless precision
precision = 1 if precision == 0
r = emu_e(sp, hs, pl, mi, zr, width, precision-1, type.tr('gG', 'eE'), v, sign, int, exp)
/[eE]([+-]\d+)/ =~ r
e = $1.to_i
if e < -4 || precision <= e
result = r
else
result = emu_f(sp, hs, pl, mi, zr, width, precision-1-e, type, sign, int, exp)
end
result.sub!(/\.[0-9]*/) { $&.sub(/\.?0*\z/, '') } if !hs
else
raise "unexpected type: #{type}"
end
end
pad = ''
if width && sign.length + result.length < width
if zr
pad = '0' * (width - sign.length - result.length)
else
pad = ' ' * (width - sign.length - result.length)
end
end
if mi
sign + result + pad
elsif zr
sign + pad + result
else
pad + sign + result
end
end
def test_format_float
combination(
%w[e E f g G],
[nil, 0, 5, 20],
["", ".", ".0", ".8", ".20", ".200"],
['', ' '],
['', '#'],
['', '+'],
['', '-'],
['', '0']) {|type, width, precision, sp, hs, pl, mi, zr|
format = "%#{sp}#{hs}#{pl}#{mi}#{zr}#{width}#{precision}#{type}"
FLOAT_VALUES.each {|v|
r = sprintf format, v
e = emu_float format, v
if true
assert_equal(e, r, "sprintf(#{format.dump}, #{'%.20g' % v})")
else
if e != r
puts "#{e.dump}\t#{r.dump}\tsprintf(#{format.dump}, #{'%.20g' % v})"
end
end
}
}
end
end
|