dad1df6c1a
Add tables of small powers of ten used in the fast path. The tables are redundant: We could also use the big, more accurate table and round the value to the correct type (in fact we did just that before this commit). However, the rounding is extra work and slows down the fast path. Because only very small exponents enter the fast path, the table and thus the space overhead is negligible. Speed-wise, this is a clear win on a [benchmark] comparing the fast path to a naive, hand-optimized, inaccurate algorithm. Specifically, this change narrows the gap from a roughly 5x difference to a roughly 3.4x difference. [benchmark]: https://gist.github.com/Veedrac/dbb0c07994bc7882098e
1281 lines
21 KiB
Rust
1281 lines
21 KiB
Rust
// Copyright 2015 The Rust Project Developers. See the COPYRIGHT
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// file at the top-level directory of this distribution and at
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// http://rust-lang.org/COPYRIGHT.
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//
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// Licensed under the Apache License, Version 2.0 <LICENSE-APACHE or
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// http://www.apache.org/licenses/LICENSE-2.0> or the MIT license
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// <LICENSE-MIT or http://opensource.org/licenses/MIT>, at your
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// option. This file may not be copied, modified, or distributed
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// except according to those terms.
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//! Tables of approximations of powers of ten.
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//! DO NOT MODIFY: Generated by `src/etc/dec2flt_table.py`
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pub const MIN_E: i16 = -305;
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pub const MAX_E: i16 = 305;
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pub const POWERS: ([u64; 611], [i16; 611]) = ([
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0x8c974f7383725573,
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0xafbd2350644eead0,
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0x894bc396ce5da772,
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0xab9eb47c81f5114f,
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0xd686619ba27255a3,
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0x8613fd0145877586,
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0xa798fc4196e952e7,
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0xb0de65388cc8ada8,
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|
-30,
|
|
-27,
|
|
-24,
|
|
-20,
|
|
-17,
|
|
-14,
|
|
-10,
|
|
-7,
|
|
-4,
|
|
0,
|
|
3,
|
|
6,
|
|
10,
|
|
13,
|
|
16,
|
|
20,
|
|
23,
|
|
26,
|
|
30,
|
|
33,
|
|
36,
|
|
39,
|
|
43,
|
|
46,
|
|
49,
|
|
53,
|
|
56,
|
|
59,
|
|
63,
|
|
66,
|
|
69,
|
|
73,
|
|
76,
|
|
79,
|
|
83,
|
|
86,
|
|
89,
|
|
93,
|
|
96,
|
|
99,
|
|
103,
|
|
106,
|
|
109,
|
|
113,
|
|
116,
|
|
119,
|
|
123,
|
|
126,
|
|
129,
|
|
132,
|
|
136,
|
|
139,
|
|
142,
|
|
146,
|
|
149,
|
|
152,
|
|
156,
|
|
159,
|
|
162,
|
|
166,
|
|
169,
|
|
172,
|
|
176,
|
|
179,
|
|
182,
|
|
186,
|
|
189,
|
|
192,
|
|
196,
|
|
199,
|
|
202,
|
|
206,
|
|
209,
|
|
212,
|
|
216,
|
|
219,
|
|
222,
|
|
226,
|
|
229,
|
|
232,
|
|
235,
|
|
239,
|
|
242,
|
|
245,
|
|
249,
|
|
252,
|
|
255,
|
|
259,
|
|
262,
|
|
265,
|
|
269,
|
|
272,
|
|
275,
|
|
279,
|
|
282,
|
|
285,
|
|
289,
|
|
292,
|
|
295,
|
|
299,
|
|
302,
|
|
305,
|
|
309,
|
|
312,
|
|
315,
|
|
319,
|
|
322,
|
|
325,
|
|
328,
|
|
332,
|
|
335,
|
|
338,
|
|
342,
|
|
345,
|
|
348,
|
|
352,
|
|
355,
|
|
358,
|
|
362,
|
|
365,
|
|
368,
|
|
372,
|
|
375,
|
|
378,
|
|
382,
|
|
385,
|
|
388,
|
|
392,
|
|
395,
|
|
398,
|
|
402,
|
|
405,
|
|
408,
|
|
412,
|
|
415,
|
|
418,
|
|
422,
|
|
425,
|
|
428,
|
|
431,
|
|
435,
|
|
438,
|
|
441,
|
|
445,
|
|
448,
|
|
451,
|
|
455,
|
|
458,
|
|
461,
|
|
465,
|
|
468,
|
|
471,
|
|
475,
|
|
478,
|
|
481,
|
|
485,
|
|
488,
|
|
491,
|
|
495,
|
|
498,
|
|
501,
|
|
505,
|
|
508,
|
|
511,
|
|
515,
|
|
518,
|
|
521,
|
|
524,
|
|
528,
|
|
531,
|
|
534,
|
|
538,
|
|
541,
|
|
544,
|
|
548,
|
|
551,
|
|
554,
|
|
558,
|
|
561,
|
|
564,
|
|
568,
|
|
571,
|
|
574,
|
|
578,
|
|
581,
|
|
584,
|
|
588,
|
|
591,
|
|
594,
|
|
598,
|
|
601,
|
|
604,
|
|
608,
|
|
611,
|
|
614,
|
|
617,
|
|
621,
|
|
624,
|
|
627,
|
|
631,
|
|
634,
|
|
637,
|
|
641,
|
|
644,
|
|
647,
|
|
651,
|
|
654,
|
|
657,
|
|
661,
|
|
664,
|
|
667,
|
|
671,
|
|
674,
|
|
677,
|
|
681,
|
|
684,
|
|
687,
|
|
691,
|
|
694,
|
|
697,
|
|
701,
|
|
704,
|
|
707,
|
|
711,
|
|
714,
|
|
717,
|
|
720,
|
|
724,
|
|
727,
|
|
730,
|
|
734,
|
|
737,
|
|
740,
|
|
744,
|
|
747,
|
|
750,
|
|
754,
|
|
757,
|
|
760,
|
|
764,
|
|
767,
|
|
770,
|
|
774,
|
|
777,
|
|
780,
|
|
784,
|
|
787,
|
|
790,
|
|
794,
|
|
797,
|
|
800,
|
|
804,
|
|
807,
|
|
810,
|
|
813,
|
|
817,
|
|
820,
|
|
823,
|
|
827,
|
|
830,
|
|
833,
|
|
837,
|
|
840,
|
|
843,
|
|
847,
|
|
850,
|
|
853,
|
|
857,
|
|
860,
|
|
863,
|
|
867,
|
|
870,
|
|
873,
|
|
877,
|
|
880,
|
|
883,
|
|
887,
|
|
890,
|
|
893,
|
|
897,
|
|
900,
|
|
903,
|
|
907,
|
|
910,
|
|
913,
|
|
916,
|
|
920,
|
|
923,
|
|
926,
|
|
930,
|
|
933,
|
|
936,
|
|
940,
|
|
943,
|
|
946,
|
|
950,
|
|
]);
|
|
|
|
pub const F32_SHORT_POWERS: [f32; 11] = [
|
|
1e0,
|
|
1e1,
|
|
1e2,
|
|
1e3,
|
|
1e4,
|
|
1e5,
|
|
1e6,
|
|
1e7,
|
|
1e8,
|
|
1e9,
|
|
1e10,
|
|
];
|
|
|
|
pub const F64_SHORT_POWERS: [f64; 23] = [
|
|
1e0,
|
|
1e1,
|
|
1e2,
|
|
1e3,
|
|
1e4,
|
|
1e5,
|
|
1e6,
|
|
1e7,
|
|
1e8,
|
|
1e9,
|
|
1e10,
|
|
1e11,
|
|
1e12,
|
|
1e13,
|
|
1e14,
|
|
1e15,
|
|
1e16,
|
|
1e17,
|
|
1e18,
|
|
1e19,
|
|
1e20,
|
|
1e21,
|
|
1e22,
|
|
];
|