1// Copyright 2009 The Go Authors. All rights reserved.
2// Use of this source code is governed by a BSD-style
3// license that can be found in the LICENSE file.
4
5package strconv_test
6
7import (
8	"math"
9	"math/rand"
10	"reflect"
11	. "strconv"
12	"strings"
13	"sync"
14	"testing"
15	"time"
16)
17
18type atofTest struct {
19	in  string
20	out string
21	err error
22}
23
24var atoftests = []atofTest{
25	{"", "0", ErrSyntax},
26	{"1", "1", nil},
27	{"+1", "1", nil},
28	{"1x", "0", ErrSyntax},
29	{"1.1.", "0", ErrSyntax},
30	{"1e23", "1e+23", nil},
31	{"1E23", "1e+23", nil},
32	{"100000000000000000000000", "1e+23", nil},
33	{"1e-100", "1e-100", nil},
34	{"123456700", "1.234567e+08", nil},
35	{"99999999999999974834176", "9.999999999999997e+22", nil},
36	{"100000000000000000000001", "1.0000000000000001e+23", nil},
37	{"100000000000000008388608", "1.0000000000000001e+23", nil},
38	{"100000000000000016777215", "1.0000000000000001e+23", nil},
39	{"100000000000000016777216", "1.0000000000000003e+23", nil},
40	{"-1", "-1", nil},
41	{"-0.1", "-0.1", nil},
42	{"-0", "-0", nil},
43	{"1e-20", "1e-20", nil},
44	{"625e-3", "0.625", nil},
45
46	// Hexadecimal floating-point.
47	{"0x1p0", "1", nil},
48	{"0x1p1", "2", nil},
49	{"0x1p-1", "0.5", nil},
50	{"0x1ep-1", "15", nil},
51	{"-0x1ep-1", "-15", nil},
52	{"-0x1_ep-1", "-15", nil},
53	{"0x1p-200", "6.223015277861142e-61", nil},
54	{"0x1p200", "1.6069380442589903e+60", nil},
55	{"0x1fFe2.p0", "131042", nil},
56	{"0x1fFe2.P0", "131042", nil},
57	{"-0x2p3", "-16", nil},
58	{"0x0.fp4", "15", nil},
59	{"0x0.fp0", "0.9375", nil},
60	{"0x1e2", "0", ErrSyntax},
61	{"1p2", "0", ErrSyntax},
62
63	// zeros
64	{"0", "0", nil},
65	{"0e0", "0", nil},
66	{"-0e0", "-0", nil},
67	{"+0e0", "0", nil},
68	{"0e-0", "0", nil},
69	{"-0e-0", "-0", nil},
70	{"+0e-0", "0", nil},
71	{"0e+0", "0", nil},
72	{"-0e+0", "-0", nil},
73	{"+0e+0", "0", nil},
74	{"0e+01234567890123456789", "0", nil},
75	{"0.00e-01234567890123456789", "0", nil},
76	{"-0e+01234567890123456789", "-0", nil},
77	{"-0.00e-01234567890123456789", "-0", nil},
78	{"0x0p+01234567890123456789", "0", nil},
79	{"0x0.00p-01234567890123456789", "0", nil},
80	{"-0x0p+01234567890123456789", "-0", nil},
81	{"-0x0.00p-01234567890123456789", "-0", nil},
82
83	{"0e291", "0", nil}, // issue 15364
84	{"0e292", "0", nil}, // issue 15364
85	{"0e347", "0", nil}, // issue 15364
86	{"0e348", "0", nil}, // issue 15364
87	{"-0e291", "-0", nil},
88	{"-0e292", "-0", nil},
89	{"-0e347", "-0", nil},
90	{"-0e348", "-0", nil},
91	{"0x0p126", "0", nil},
92	{"0x0p127", "0", nil},
93	{"0x0p128", "0", nil},
94	{"0x0p129", "0", nil},
95	{"0x0p130", "0", nil},
96	{"0x0p1022", "0", nil},
97	{"0x0p1023", "0", nil},
98	{"0x0p1024", "0", nil},
99	{"0x0p1025", "0", nil},
100	{"0x0p1026", "0", nil},
101	{"-0x0p126", "-0", nil},
102	{"-0x0p127", "-0", nil},
103	{"-0x0p128", "-0", nil},
104	{"-0x0p129", "-0", nil},
105	{"-0x0p130", "-0", nil},
106	{"-0x0p1022", "-0", nil},
107	{"-0x0p1023", "-0", nil},
108	{"-0x0p1024", "-0", nil},
109	{"-0x0p1025", "-0", nil},
110	{"-0x0p1026", "-0", nil},
111
112	// NaNs
113	{"nan", "NaN", nil},
114	{"NaN", "NaN", nil},
115	{"NAN", "NaN", nil},
116
117	// Infs
118	{"inf", "+Inf", nil},
119	{"-Inf", "-Inf", nil},
120	{"+INF", "+Inf", nil},
121	{"-Infinity", "-Inf", nil},
122	{"+INFINITY", "+Inf", nil},
123	{"Infinity", "+Inf", nil},
124
125	// largest float64
126	{"1.7976931348623157e308", "1.7976931348623157e+308", nil},
127	{"-1.7976931348623157e308", "-1.7976931348623157e+308", nil},
128	{"0x1.fffffffffffffp1023", "1.7976931348623157e+308", nil},
129	{"-0x1.fffffffffffffp1023", "-1.7976931348623157e+308", nil},
130	{"0x1fffffffffffffp+971", "1.7976931348623157e+308", nil},
131	{"-0x1fffffffffffffp+971", "-1.7976931348623157e+308", nil},
132	{"0x.1fffffffffffffp1027", "1.7976931348623157e+308", nil},
133	{"-0x.1fffffffffffffp1027", "-1.7976931348623157e+308", nil},
134
135	// next float64 - too large
136	{"1.7976931348623159e308", "+Inf", ErrRange},
137	{"-1.7976931348623159e308", "-Inf", ErrRange},
138	{"0x1p1024", "+Inf", ErrRange},
139	{"-0x1p1024", "-Inf", ErrRange},
140	{"0x2p1023", "+Inf", ErrRange},
141	{"-0x2p1023", "-Inf", ErrRange},
142	{"0x.1p1028", "+Inf", ErrRange},
143	{"-0x.1p1028", "-Inf", ErrRange},
144	{"0x.2p1027", "+Inf", ErrRange},
145	{"-0x.2p1027", "-Inf", ErrRange},
146
147	// the border is ...158079
148	// borderline - okay
149	{"1.7976931348623158e308", "1.7976931348623157e+308", nil},
150	{"-1.7976931348623158e308", "-1.7976931348623157e+308", nil},
151	{"0x1.fffffffffffff7fffp1023", "1.7976931348623157e+308", nil},
152	{"-0x1.fffffffffffff7fffp1023", "-1.7976931348623157e+308", nil},
153	// borderline - too large
154	{"1.797693134862315808e308", "+Inf", ErrRange},
155	{"-1.797693134862315808e308", "-Inf", ErrRange},
156	{"0x1.fffffffffffff8p1023", "+Inf", ErrRange},
157	{"-0x1.fffffffffffff8p1023", "-Inf", ErrRange},
158	{"0x1fffffffffffff.8p+971", "+Inf", ErrRange},
159	{"-0x1fffffffffffff8p+967", "-Inf", ErrRange},
160	{"0x.1fffffffffffff8p1027", "+Inf", ErrRange},
161	{"-0x.1fffffffffffff9p1027", "-Inf", ErrRange},
162
163	// a little too large
164	{"1e308", "1e+308", nil},
165	{"2e308", "+Inf", ErrRange},
166	{"1e309", "+Inf", ErrRange},
167	{"0x1p1025", "+Inf", ErrRange},
168
169	// way too large
170	{"1e310", "+Inf", ErrRange},
171	{"-1e310", "-Inf", ErrRange},
172	{"1e400", "+Inf", ErrRange},
173	{"-1e400", "-Inf", ErrRange},
174	{"1e400000", "+Inf", ErrRange},
175	{"-1e400000", "-Inf", ErrRange},
176	{"0x1p1030", "+Inf", ErrRange},
177	{"0x1p2000", "+Inf", ErrRange},
178	{"0x1p2000000000", "+Inf", ErrRange},
179	{"-0x1p1030", "-Inf", ErrRange},
180	{"-0x1p2000", "-Inf", ErrRange},
181	{"-0x1p2000000000", "-Inf", ErrRange},
182
183	// denormalized
184	{"1e-305", "1e-305", nil},
185	{"1e-306", "1e-306", nil},
186	{"1e-307", "1e-307", nil},
187	{"1e-308", "1e-308", nil},
188	{"1e-309", "1e-309", nil},
189	{"1e-310", "1e-310", nil},
190	{"1e-322", "1e-322", nil},
191	// smallest denormal
192	{"5e-324", "5e-324", nil},
193	{"4e-324", "5e-324", nil},
194	{"3e-324", "5e-324", nil},
195	// too small
196	{"2e-324", "0", nil},
197	// way too small
198	{"1e-350", "0", nil},
199	{"1e-400000", "0", nil},
200
201	// Near denormals and denormals.
202	{"0x2.00000000000000p-1010", "1.8227805048890994e-304", nil}, // 0x00e0000000000000
203	{"0x1.fffffffffffff0p-1010", "1.8227805048890992e-304", nil}, // 0x00dfffffffffffff
204	{"0x1.fffffffffffff7p-1010", "1.8227805048890992e-304", nil}, // rounded down
205	{"0x1.fffffffffffff8p-1010", "1.8227805048890994e-304", nil}, // rounded up
206	{"0x1.fffffffffffff9p-1010", "1.8227805048890994e-304", nil}, // rounded up
207
208	{"0x2.00000000000000p-1022", "4.450147717014403e-308", nil},  // 0x0020000000000000
209	{"0x1.fffffffffffff0p-1022", "4.4501477170144023e-308", nil}, // 0x001fffffffffffff
210	{"0x1.fffffffffffff7p-1022", "4.4501477170144023e-308", nil}, // rounded down
211	{"0x1.fffffffffffff8p-1022", "4.450147717014403e-308", nil},  // rounded up
212	{"0x1.fffffffffffff9p-1022", "4.450147717014403e-308", nil},  // rounded up
213
214	{"0x1.00000000000000p-1022", "2.2250738585072014e-308", nil}, // 0x0010000000000000
215	{"0x0.fffffffffffff0p-1022", "2.225073858507201e-308", nil},  // 0x000fffffffffffff
216	{"0x0.ffffffffffffe0p-1022", "2.2250738585072004e-308", nil}, // 0x000ffffffffffffe
217	{"0x0.ffffffffffffe7p-1022", "2.2250738585072004e-308", nil}, // rounded down
218	{"0x1.ffffffffffffe8p-1023", "2.225073858507201e-308", nil},  // rounded up
219	{"0x1.ffffffffffffe9p-1023", "2.225073858507201e-308", nil},  // rounded up
220
221	{"0x0.00000003fffff0p-1022", "2.072261e-317", nil},  // 0x00000000003fffff
222	{"0x0.00000003456780p-1022", "1.694649e-317", nil},  // 0x0000000000345678
223	{"0x0.00000003456787p-1022", "1.694649e-317", nil},  // rounded down
224	{"0x0.00000003456788p-1022", "1.694649e-317", nil},  // rounded down (half to even)
225	{"0x0.00000003456790p-1022", "1.6946496e-317", nil}, // 0x0000000000345679
226	{"0x0.00000003456789p-1022", "1.6946496e-317", nil}, // rounded up
227
228	{"0x0.0000000345678800000000000000000000000001p-1022", "1.6946496e-317", nil}, // rounded up
229
230	{"0x0.000000000000f0p-1022", "7.4e-323", nil}, // 0x000000000000000f
231	{"0x0.00000000000060p-1022", "3e-323", nil},   // 0x0000000000000006
232	{"0x0.00000000000058p-1022", "3e-323", nil},   // rounded up
233	{"0x0.00000000000057p-1022", "2.5e-323", nil}, // rounded down
234	{"0x0.00000000000050p-1022", "2.5e-323", nil}, // 0x0000000000000005
235
236	{"0x0.00000000000010p-1022", "5e-324", nil},  // 0x0000000000000001
237	{"0x0.000000000000081p-1022", "5e-324", nil}, // rounded up
238	{"0x0.00000000000008p-1022", "0", nil},       // rounded down
239	{"0x0.00000000000007fp-1022", "0", nil},      // rounded down
240
241	// try to overflow exponent
242	{"1e-4294967296", "0", nil},
243	{"1e+4294967296", "+Inf", ErrRange},
244	{"1e-18446744073709551616", "0", nil},
245	{"1e+18446744073709551616", "+Inf", ErrRange},
246	{"0x1p-4294967296", "0", nil},
247	{"0x1p+4294967296", "+Inf", ErrRange},
248	{"0x1p-18446744073709551616", "0", nil},
249	{"0x1p+18446744073709551616", "+Inf", ErrRange},
250
251	// Parse errors
252	{"1e", "0", ErrSyntax},
253	{"1e-", "0", ErrSyntax},
254	{".e-1", "0", ErrSyntax},
255	{"1\x00.2", "0", ErrSyntax},
256	{"0x", "0", ErrSyntax},
257	{"0x.", "0", ErrSyntax},
258	{"0x1", "0", ErrSyntax},
259	{"0x.1", "0", ErrSyntax},
260	{"0x1p", "0", ErrSyntax},
261	{"0x.1p", "0", ErrSyntax},
262	{"0x1p+", "0", ErrSyntax},
263	{"0x.1p+", "0", ErrSyntax},
264	{"0x1p-", "0", ErrSyntax},
265	{"0x.1p-", "0", ErrSyntax},
266	{"0x1p+2", "4", nil},
267	{"0x.1p+2", "0.25", nil},
268	{"0x1p-2", "0.25", nil},
269	{"0x.1p-2", "0.015625", nil},
270
271	// https://www.exploringbinary.com/java-hangs-when-converting-2-2250738585072012e-308/
272	{"2.2250738585072012e-308", "2.2250738585072014e-308", nil},
273	// https://www.exploringbinary.com/php-hangs-on-numeric-value-2-2250738585072011e-308/
274	{"2.2250738585072011e-308", "2.225073858507201e-308", nil},
275
276	// A very large number (initially wrongly parsed by the fast algorithm).
277	{"4.630813248087435e+307", "4.630813248087435e+307", nil},
278
279	// A different kind of very large number.
280	{"22.222222222222222", "22.22222222222222", nil},
281	{"2." + strings.Repeat("2", 4000) + "e+1", "22.22222222222222", nil},
282	{"0x1.1111111111111p222", "7.18931911124017e+66", nil},
283	{"0x2.2222222222222p221", "7.18931911124017e+66", nil},
284	{"0x2." + strings.Repeat("2", 4000) + "p221", "7.18931911124017e+66", nil},
285
286	// Exactly halfway between 1 and math.Nextafter(1, 2).
287	// Round to even (down).
288	{"1.00000000000000011102230246251565404236316680908203125", "1", nil},
289	{"0x1.00000000000008p0", "1", nil},
290	// Slightly lower; still round down.
291	{"1.00000000000000011102230246251565404236316680908203124", "1", nil},
292	{"0x1.00000000000007Fp0", "1", nil},
293	// Slightly higher; round up.
294	{"1.00000000000000011102230246251565404236316680908203126", "1.0000000000000002", nil},
295	{"0x1.000000000000081p0", "1.0000000000000002", nil},
296	{"0x1.00000000000009p0", "1.0000000000000002", nil},
297	// Slightly higher, but you have to read all the way to the end.
298	{"1.00000000000000011102230246251565404236316680908203125" + strings.Repeat("0", 10000) + "1", "1.0000000000000002", nil},
299	{"0x1.00000000000008" + strings.Repeat("0", 10000) + "1p0", "1.0000000000000002", nil},
300
301	// Halfway between x := math.Nextafter(1, 2) and math.Nextafter(x, 2)
302	// Round to even (up).
303	{"1.00000000000000033306690738754696212708950042724609375", "1.0000000000000004", nil},
304	{"0x1.00000000000018p0", "1.0000000000000004", nil},
305
306	// Halfway between 1090544144181609278303144771584 and 1090544144181609419040633126912
307	// (15497564393479157p+46, should round to even 15497564393479156p+46, issue 36657)
308	{"1090544144181609348671888949248", "1.0905441441816093e+30", nil},
309	// slightly above, rounds up
310	{"1090544144181609348835077142190", "1.0905441441816094e+30", nil},
311
312	// Underscores.
313	{"1_23.50_0_0e+1_2", "1.235e+14", nil},
314	{"-_123.5e+12", "0", ErrSyntax},
315	{"+_123.5e+12", "0", ErrSyntax},
316	{"_123.5e+12", "0", ErrSyntax},
317	{"1__23.5e+12", "0", ErrSyntax},
318	{"123_.5e+12", "0", ErrSyntax},
319	{"123._5e+12", "0", ErrSyntax},
320	{"123.5_e+12", "0", ErrSyntax},
321	{"123.5__0e+12", "0", ErrSyntax},
322	{"123.5e_+12", "0", ErrSyntax},
323	{"123.5e+_12", "0", ErrSyntax},
324	{"123.5e_-12", "0", ErrSyntax},
325	{"123.5e-_12", "0", ErrSyntax},
326	{"123.5e+1__2", "0", ErrSyntax},
327	{"123.5e+12_", "0", ErrSyntax},
328
329	{"0x_1_2.3_4_5p+1_2", "74565", nil},
330	{"-_0x12.345p+12", "0", ErrSyntax},
331	{"+_0x12.345p+12", "0", ErrSyntax},
332	{"_0x12.345p+12", "0", ErrSyntax},
333	{"0x__12.345p+12", "0", ErrSyntax},
334	{"0x1__2.345p+12", "0", ErrSyntax},
335	{"0x12_.345p+12", "0", ErrSyntax},
336	{"0x12._345p+12", "0", ErrSyntax},
337	{"0x12.3__45p+12", "0", ErrSyntax},
338	{"0x12.345_p+12", "0", ErrSyntax},
339	{"0x12.345p_+12", "0", ErrSyntax},
340	{"0x12.345p+_12", "0", ErrSyntax},
341	{"0x12.345p_-12", "0", ErrSyntax},
342	{"0x12.345p-_12", "0", ErrSyntax},
343	{"0x12.345p+1__2", "0", ErrSyntax},
344	{"0x12.345p+12_", "0", ErrSyntax},
345}
346
347var atof32tests = []atofTest{
348	// Hex
349	{"0x1p-100", "7.888609e-31", nil},
350	{"0x1p100", "1.2676506e+30", nil},
351
352	// Exactly halfway between 1 and the next float32.
353	// Round to even (down).
354	{"1.000000059604644775390625", "1", nil},
355	{"0x1.000001p0", "1", nil},
356	// Slightly lower.
357	{"1.000000059604644775390624", "1", nil},
358	{"0x1.0000008p0", "1", nil},
359	{"0x1.000000fp0", "1", nil},
360	// Slightly higher.
361	{"1.000000059604644775390626", "1.0000001", nil},
362	{"0x1.000002p0", "1.0000001", nil},
363	{"0x1.0000018p0", "1.0000001", nil},
364	{"0x1.0000011p0", "1.0000001", nil},
365	// Slightly higher, but you have to read all the way to the end.
366	{"1.000000059604644775390625" + strings.Repeat("0", 10000) + "1", "1.0000001", nil},
367	{"0x1.000001" + strings.Repeat("0", 10000) + "1p0", "1.0000001", nil},
368
369	// largest float32: (1<<128) * (1 - 2^-24)
370	{"340282346638528859811704183484516925440", "3.4028235e+38", nil},
371	{"-340282346638528859811704183484516925440", "-3.4028235e+38", nil},
372	{"0x.ffffffp128", "3.4028235e+38", nil},
373	{"-340282346638528859811704183484516925440", "-3.4028235e+38", nil},
374	{"-0x.ffffffp128", "-3.4028235e+38", nil},
375	// next float32 - too large
376	{"3.4028236e38", "+Inf", ErrRange},
377	{"-3.4028236e38", "-Inf", ErrRange},
378	{"0x1.0p128", "+Inf", ErrRange},
379	{"-0x1.0p128", "-Inf", ErrRange},
380	// the border is 3.40282356779...e+38
381	// borderline - okay
382	{"3.402823567e38", "3.4028235e+38", nil},
383	{"-3.402823567e38", "-3.4028235e+38", nil},
384	{"0x.ffffff7fp128", "3.4028235e+38", nil},
385	{"-0x.ffffff7fp128", "-3.4028235e+38", nil},
386	// borderline - too large
387	{"3.4028235678e38", "+Inf", ErrRange},
388	{"-3.4028235678e38", "-Inf", ErrRange},
389	{"0x.ffffff8p128", "+Inf", ErrRange},
390	{"-0x.ffffff8p128", "-Inf", ErrRange},
391
392	// Denormals: less than 2^-126
393	{"1e-38", "1e-38", nil},
394	{"1e-39", "1e-39", nil},
395	{"1e-40", "1e-40", nil},
396	{"1e-41", "1e-41", nil},
397	{"1e-42", "1e-42", nil},
398	{"1e-43", "1e-43", nil},
399	{"1e-44", "1e-44", nil},
400	{"6e-45", "6e-45", nil}, // 4p-149 = 5.6e-45
401	{"5e-45", "6e-45", nil},
402
403	// Smallest denormal
404	{"1e-45", "1e-45", nil}, // 1p-149 = 1.4e-45
405	{"2e-45", "1e-45", nil},
406	{"3e-45", "3e-45", nil},
407
408	// Near denormals and denormals.
409	{"0x0.89aBcDp-125", "1.2643093e-38", nil},  // 0x0089abcd
410	{"0x0.8000000p-125", "1.1754944e-38", nil}, // 0x00800000
411	{"0x0.1234560p-125", "1.671814e-39", nil},  // 0x00123456
412	{"0x0.1234567p-125", "1.671814e-39", nil},  // rounded down
413	{"0x0.1234568p-125", "1.671814e-39", nil},  // rounded down
414	{"0x0.1234569p-125", "1.671815e-39", nil},  // rounded up
415	{"0x0.1234570p-125", "1.671815e-39", nil},  // 0x00123457
416	{"0x0.0000010p-125", "1e-45", nil},         // 0x00000001
417	{"0x0.00000081p-125", "1e-45", nil},        // rounded up
418	{"0x0.0000008p-125", "0", nil},             // rounded down
419	{"0x0.0000007p-125", "0", nil},             // rounded down
420
421	// 2^92 = 8388608p+69 = 4951760157141521099596496896 (4.9517602e27)
422	// is an exact power of two that needs 8 decimal digits to be correctly
423	// parsed back.
424	// The float32 before is 16777215p+68 = 4.95175986e+27
425	// The halfway is 4.951760009. A bad algorithm that thinks the previous
426	// float32 is 8388607p+69 will shorten incorrectly to 4.95176e+27.
427	{"4951760157141521099596496896", "4.9517602e+27", nil},
428}
429
430type atofSimpleTest struct {
431	x float64
432	s string
433}
434
435var (
436	atofOnce               sync.Once
437	atofRandomTests        []atofSimpleTest
438	benchmarksRandomBits   [1024]string
439	benchmarksRandomNormal [1024]string
440)
441
442func initAtof() {
443	atofOnce.Do(initAtofOnce)
444}
445
446func initAtofOnce() {
447	// The atof routines return NumErrors wrapping
448	// the error and the string. Convert the table above.
449	for i := range atoftests {
450		test := &atoftests[i]
451		if test.err != nil {
452			test.err = &NumError{"ParseFloat", test.in, test.err}
453		}
454	}
455	for i := range atof32tests {
456		test := &atof32tests[i]
457		if test.err != nil {
458			test.err = &NumError{"ParseFloat", test.in, test.err}
459		}
460	}
461
462	// Generate random inputs for tests and benchmarks
463	rand.Seed(time.Now().UnixNano())
464	if testing.Short() {
465		atofRandomTests = make([]atofSimpleTest, 100)
466	} else {
467		atofRandomTests = make([]atofSimpleTest, 10000)
468	}
469	for i := range atofRandomTests {
470		n := uint64(rand.Uint32())<<32 | uint64(rand.Uint32())
471		x := math.Float64frombits(n)
472		s := FormatFloat(x, 'g', -1, 64)
473		atofRandomTests[i] = atofSimpleTest{x, s}
474	}
475
476	for i := range benchmarksRandomBits {
477		bits := uint64(rand.Uint32())<<32 | uint64(rand.Uint32())
478		x := math.Float64frombits(bits)
479		benchmarksRandomBits[i] = FormatFloat(x, 'g', -1, 64)
480	}
481
482	for i := range benchmarksRandomNormal {
483		x := rand.NormFloat64()
484		benchmarksRandomNormal[i] = FormatFloat(x, 'g', -1, 64)
485	}
486}
487
488func TestParseFloatPrefix(t *testing.T) {
489	for i := range atoftests {
490		test := &atoftests[i]
491		if test.err != nil {
492			continue
493		}
494		// Adding characters that do not extend a number should not invalidate it.
495		// Test a few. The "i" and "init" cases test that we accept "infi", "infinit"
496		// correctly as "inf" with suffix.
497		for _, suffix := range []string{" ", "q", "+", "-", "<", "=", ">", "(", ")", "i", "init"} {
498			in := test.in + suffix
499			_, n, err := ParseFloatPrefix(in, 64)
500			if err != nil {
501				t.Errorf("ParseFloatPrefix(%q, 64): err = %v; want no error", in, err)
502			}
503			if n != len(test.in) {
504				t.Errorf("ParseFloatPrefix(%q, 64): n = %d; want %d", in, n, len(test.in))
505			}
506		}
507	}
508}
509
510func testAtof(t *testing.T, opt bool) {
511	initAtof()
512	oldopt := SetOptimize(opt)
513	for i := 0; i < len(atoftests); i++ {
514		test := &atoftests[i]
515		out, err := ParseFloat(test.in, 64)
516		outs := FormatFloat(out, 'g', -1, 64)
517		if outs != test.out || !reflect.DeepEqual(err, test.err) {
518			t.Errorf("ParseFloat(%v, 64) = %v, %v want %v, %v",
519				test.in, out, err, test.out, test.err)
520		}
521
522		if float64(float32(out)) == out {
523			out, err := ParseFloat(test.in, 32)
524			out32 := float32(out)
525			if float64(out32) != out {
526				t.Errorf("ParseFloat(%v, 32) = %v, not a float32 (closest is %v)", test.in, out, float64(out32))
527				continue
528			}
529			outs := FormatFloat(float64(out32), 'g', -1, 32)
530			if outs != test.out || !reflect.DeepEqual(err, test.err) {
531				t.Errorf("ParseFloat(%v, 32) = %v, %v want %v, %v  # %v",
532					test.in, out32, err, test.out, test.err, out)
533			}
534		}
535	}
536	for _, test := range atof32tests {
537		out, err := ParseFloat(test.in, 32)
538		out32 := float32(out)
539		if float64(out32) != out {
540			t.Errorf("ParseFloat(%v, 32) = %v, not a float32 (closest is %v)", test.in, out, float64(out32))
541			continue
542		}
543		outs := FormatFloat(float64(out32), 'g', -1, 32)
544		if outs != test.out || !reflect.DeepEqual(err, test.err) {
545			t.Errorf("ParseFloat(%v, 32) = %v, %v want %v, %v  # %v",
546				test.in, out32, err, test.out, test.err, out)
547		}
548	}
549	SetOptimize(oldopt)
550}
551
552func TestAtof(t *testing.T) { testAtof(t, true) }
553
554func TestAtofSlow(t *testing.T) { testAtof(t, false) }
555
556func TestAtofRandom(t *testing.T) {
557	initAtof()
558	for _, test := range atofRandomTests {
559		x, _ := ParseFloat(test.s, 64)
560		switch {
561		default:
562			t.Errorf("number %s badly parsed as %b (expected %b)", test.s, x, test.x)
563		case x == test.x:
564		case math.IsNaN(test.x) && math.IsNaN(x):
565		}
566	}
567	t.Logf("tested %d random numbers", len(atofRandomTests))
568}
569
570var roundTripCases = []struct {
571	f float64
572	s string
573}{
574	// Issue 2917.
575	// This test will break the optimized conversion if the
576	// FPU is using 80-bit registers instead of 64-bit registers,
577	// usually because the operating system initialized the
578	// thread with 80-bit precision and the Go runtime didn't
579	// fix the FP control word.
580	{8865794286000691 << 39, "4.87402195346389e+27"},
581	{8865794286000692 << 39, "4.8740219534638903e+27"},
582}
583
584func TestRoundTrip(t *testing.T) {
585	for _, tt := range roundTripCases {
586		old := SetOptimize(false)
587		s := FormatFloat(tt.f, 'g', -1, 64)
588		if s != tt.s {
589			t.Errorf("no-opt FormatFloat(%b) = %s, want %s", tt.f, s, tt.s)
590		}
591		f, err := ParseFloat(tt.s, 64)
592		if f != tt.f || err != nil {
593			t.Errorf("no-opt ParseFloat(%s) = %b, %v want %b, nil", tt.s, f, err, tt.f)
594		}
595		SetOptimize(true)
596		s = FormatFloat(tt.f, 'g', -1, 64)
597		if s != tt.s {
598			t.Errorf("opt FormatFloat(%b) = %s, want %s", tt.f, s, tt.s)
599		}
600		f, err = ParseFloat(tt.s, 64)
601		if f != tt.f || err != nil {
602			t.Errorf("opt ParseFloat(%s) = %b, %v want %b, nil", tt.s, f, err, tt.f)
603		}
604		SetOptimize(old)
605	}
606}
607
608// TestRoundTrip32 tries a fraction of all finite positive float32 values.
609func TestRoundTrip32(t *testing.T) {
610	step := uint32(997)
611	if testing.Short() {
612		step = 99991
613	}
614	count := 0
615	for i := uint32(0); i < 0xff<<23; i += step {
616		f := math.Float32frombits(i)
617		if i&1 == 1 {
618			f = -f // negative
619		}
620		s := FormatFloat(float64(f), 'g', -1, 32)
621
622		parsed, err := ParseFloat(s, 32)
623		parsed32 := float32(parsed)
624		switch {
625		case err != nil:
626			t.Errorf("ParseFloat(%q, 32) gave error %s", s, err)
627		case float64(parsed32) != parsed:
628			t.Errorf("ParseFloat(%q, 32) = %v, not a float32 (nearest is %v)", s, parsed, parsed32)
629		case parsed32 != f:
630			t.Errorf("ParseFloat(%q, 32) = %b (expected %b)", s, parsed32, f)
631		}
632		count++
633	}
634	t.Logf("tested %d float32's", count)
635}
636
637// Issue 42297: a lot of code in the wild accidentally calls ParseFloat(s, 10)
638// or ParseFloat(s, 0), so allow bitSize values other than 32 and 64.
639func TestParseFloatIncorrectBitSize(t *testing.T) {
640	const s = "1.5e308"
641	const want = 1.5e308
642
643	for _, bitSize := range []int{0, 10, 100, 128} {
644		f, err := ParseFloat(s, bitSize)
645		if err != nil {
646			t.Fatalf("ParseFloat(%q, %d) gave error %s", s, bitSize, err)
647		}
648		if f != want {
649			t.Fatalf("ParseFloat(%q, %d) = %g (expected %g)", s, bitSize, f, want)
650		}
651	}
652}
653
654func BenchmarkAtof64Decimal(b *testing.B) {
655	for i := 0; i < b.N; i++ {
656		ParseFloat("33909", 64)
657	}
658}
659
660func BenchmarkAtof64Float(b *testing.B) {
661	for i := 0; i < b.N; i++ {
662		ParseFloat("339.7784", 64)
663	}
664}
665
666func BenchmarkAtof64FloatExp(b *testing.B) {
667	for i := 0; i < b.N; i++ {
668		ParseFloat("-5.09e75", 64)
669	}
670}
671
672func BenchmarkAtof64Big(b *testing.B) {
673	for i := 0; i < b.N; i++ {
674		ParseFloat("123456789123456789123456789", 64)
675	}
676}
677
678func BenchmarkAtof64RandomBits(b *testing.B) {
679	initAtof()
680	b.ResetTimer()
681	for i := 0; i < b.N; i++ {
682		ParseFloat(benchmarksRandomBits[i%1024], 64)
683	}
684}
685
686func BenchmarkAtof64RandomFloats(b *testing.B) {
687	initAtof()
688	b.ResetTimer()
689	for i := 0; i < b.N; i++ {
690		ParseFloat(benchmarksRandomNormal[i%1024], 64)
691	}
692}
693
694func BenchmarkAtof64RandomLongFloats(b *testing.B) {
695	initAtof()
696	samples := make([]string, len(atofRandomTests))
697	for i, t := range atofRandomTests {
698		samples[i] = FormatFloat(t.x, 'g', 20, 64)
699	}
700	b.ResetTimer()
701	idx := 0
702	for i := 0; i < b.N; i++ {
703		ParseFloat(samples[idx], 64)
704		idx++
705		if idx == len(samples) {
706			idx = 0
707		}
708	}
709}
710
711func BenchmarkAtof32Decimal(b *testing.B) {
712	for i := 0; i < b.N; i++ {
713		ParseFloat("33909", 32)
714	}
715}
716
717func BenchmarkAtof32Float(b *testing.B) {
718	for i := 0; i < b.N; i++ {
719		ParseFloat("339.778", 32)
720	}
721}
722
723func BenchmarkAtof32FloatExp(b *testing.B) {
724	for i := 0; i < b.N; i++ {
725		ParseFloat("12.3456e32", 32)
726	}
727}
728
729func BenchmarkAtof32Random(b *testing.B) {
730	n := uint32(997)
731	var float32strings [4096]string
732	for i := range float32strings {
733		n = (99991*n + 42) % (0xff << 23)
734		float32strings[i] = FormatFloat(float64(math.Float32frombits(n)), 'g', -1, 32)
735	}
736	b.ResetTimer()
737	for i := 0; i < b.N; i++ {
738		ParseFloat(float32strings[i%4096], 32)
739	}
740}
741
742func BenchmarkAtof32RandomLong(b *testing.B) {
743	n := uint32(997)
744	var float32strings [4096]string
745	for i := range float32strings {
746		n = (99991*n + 42) % (0xff << 23)
747		float32strings[i] = FormatFloat(float64(math.Float32frombits(n)), 'g', 20, 32)
748	}
749	b.ResetTimer()
750	for i := 0; i < b.N; i++ {
751		ParseFloat(float32strings[i%4096], 32)
752	}
753}
754