mirror of
https://github.com/f4exb/sdrangel.git
synced 2024-12-23 18:15:45 -05:00
551 lines
8.9 KiB
C++
551 lines
8.9 KiB
C++
///////////////////////////////////////////////////////////////////////////////////
|
|
// Copyright (C) 2018 F4EXB //
|
|
// written by Edouard Griffiths //
|
|
// //
|
|
// 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 as version 3 of the License, or //
|
|
// (at your option) any later version. //
|
|
// //
|
|
// This program is distributed in the hope that it will be useful, //
|
|
// but WITHOUT ANY WARRANTY; without even the implied warranty of //
|
|
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the //
|
|
// GNU General Public License V3 for more details. //
|
|
// //
|
|
// You should have received a copy of the GNU General Public License //
|
|
// along with this program. If not, see <http://www.gnu.org/licenses/>. //
|
|
///////////////////////////////////////////////////////////////////////////////////
|
|
|
|
#include "fixedtraits.h"
|
|
|
|
// 1.0 = 2^28 internal representation
|
|
|
|
// ln(1/2^n), n = index+1 then list is reversed
|
|
const int64_t FixedTraits<28>::log_two_power_n_reversed[35] = {
|
|
0x18429946ELL,
|
|
0x1791272EFLL,
|
|
0x16DFB516FLL,
|
|
0x162E42FF0LL,
|
|
0x157CD0E70LL,
|
|
0x14CB5ECF1LL,
|
|
0x1419ECB71LL,
|
|
0x13687A9F2LL,
|
|
0x12B708872LL,
|
|
0x1205966F3LL,
|
|
0x115424573LL,
|
|
0x10A2B23F4LL,
|
|
0xFF140274LL,
|
|
0xF3FCE0F5LL,
|
|
0xE8E5BF75LL,
|
|
0xDDCE9DF6LL,
|
|
0xD2B77C76LL,
|
|
0xC7A05AF7LL,
|
|
0xBC893977LL,
|
|
0xB17217F8LL,
|
|
0xA65AF679LL,
|
|
0x9B43D4F9LL,
|
|
0x902CB379LL,
|
|
0x851591FaLL,
|
|
0x79FE707bLL,
|
|
0x6EE74EFbLL,
|
|
0x63D02D7BLL,
|
|
0x58B90BFcLL,
|
|
0x4DA1EA7CLL,
|
|
0x428AC8FdLL,
|
|
0x3773A77DLL,
|
|
0x2C5C85FeLL,
|
|
0x2145647ELL,
|
|
0x162E42FfLL,
|
|
0xB17217FLL
|
|
};
|
|
|
|
// ln(1+2^-n), n = index+1
|
|
const int64_t FixedTraits<28>::log_one_plus_two_power_minus_n[28] = {
|
|
0x67CC8FBLL,
|
|
0x391FEF9LL,
|
|
0x1E27077LL,
|
|
0xF85186LL,
|
|
0x7E0A6CLL,
|
|
0x3F8151LL,
|
|
0x1FE02ALL,
|
|
0xFF805LL,
|
|
0x7FE01LL,
|
|
0x3FF80LL,
|
|
0x1FFE0LL,
|
|
0xFFF8LL,
|
|
0x7FFELL,
|
|
0x4000LL,
|
|
0x2000LL,
|
|
0x1000LL,
|
|
0x800LL,
|
|
0x400LL,
|
|
0x200LL,
|
|
0x100LL,
|
|
0x80LL,
|
|
0x40LL,
|
|
0x20LL,
|
|
0x10LL,
|
|
0x8LL,
|
|
0x4LL,
|
|
0x2LL,
|
|
0x1LL
|
|
};
|
|
|
|
// ln(1/1-2^-n), n = index+1
|
|
const int64_t FixedTraits<28>::log_one_over_one_minus_two_power_minus_n[28] = {
|
|
0xB172180LL,
|
|
0x49A5884LL,
|
|
0x222F1D0LL,
|
|
0x108598BLL,
|
|
0x820AECLL,
|
|
0x408159LL,
|
|
0x20202BLL,
|
|
0x100805LL,
|
|
0x80201LL,
|
|
0x40080LL,
|
|
0x20020LL,
|
|
0x10008LL,
|
|
0x8002LL,
|
|
0x4001LL,
|
|
0x2000LL,
|
|
0x1000LL,
|
|
0x800LL,
|
|
0x400LL,
|
|
0x200LL,
|
|
0x100LL,
|
|
0x80LL,
|
|
0x40LL,
|
|
0x20LL,
|
|
0x10LL,
|
|
0x8LL,
|
|
0x4LL,
|
|
0x2LL,
|
|
0x1LL
|
|
};
|
|
|
|
const int64_t FixedTraits<28>::arctantab[32] = {
|
|
297197971,
|
|
210828714,
|
|
124459457,
|
|
65760959,
|
|
33381290,
|
|
16755422,
|
|
8385879,
|
|
4193963,
|
|
2097109,
|
|
1048571,
|
|
524287,
|
|
262144,
|
|
131072,
|
|
65536,
|
|
32768,
|
|
16384,
|
|
8192,
|
|
4096,
|
|
2048,
|
|
1024,
|
|
512,
|
|
256,
|
|
128,
|
|
64,
|
|
32,
|
|
16,
|
|
8,
|
|
4,
|
|
2,
|
|
1,
|
|
0,
|
|
0
|
|
};
|
|
|
|
// 1.0 = 2^16 internal representation
|
|
|
|
const int64_t FixedTraits<16>::log_two_power_n_reversed[47] = {
|
|
2135026LL,
|
|
2089600LL,
|
|
2044174LL,
|
|
1998748LL,
|
|
1953322LL,
|
|
1907896LL,
|
|
1862470LL,
|
|
1817044LL,
|
|
1771618LL,
|
|
1726192LL,
|
|
1680765LL,
|
|
1635339LL,
|
|
1589913LL,
|
|
1544487LL,
|
|
1499061LL,
|
|
1453635LL,
|
|
1408209LL,
|
|
1362783LL,
|
|
1317357LL,
|
|
1271931LL,
|
|
1226505LL,
|
|
1181078LL,
|
|
1135652LL,
|
|
1090226LL,
|
|
1044800LL,
|
|
999374LL,
|
|
953948LL,
|
|
908522LL,
|
|
863096LL,
|
|
817670LL,
|
|
772244LL,
|
|
726817LL,
|
|
681391LL,
|
|
635965LL,
|
|
590539LL,
|
|
545113LL,
|
|
499687LL,
|
|
454261LL,
|
|
408835LL,
|
|
363409LL,
|
|
317983LL,
|
|
272557LL,
|
|
227130LL,
|
|
181704LL,
|
|
136278LL,
|
|
90852LL,
|
|
45426LL
|
|
};
|
|
|
|
const int64_t FixedTraits<16>::log_one_plus_two_power_minus_n[16] = {
|
|
26573LL,
|
|
14624LL,
|
|
7719LL,
|
|
3973LL,
|
|
2017LL,
|
|
1016LL,
|
|
510LL,
|
|
256LL,
|
|
128LL,
|
|
64LL,
|
|
32LL,
|
|
16LL,
|
|
8LL,
|
|
4LL,
|
|
2LL,
|
|
1LL
|
|
};
|
|
|
|
const int64_t FixedTraits<16>::log_one_over_one_minus_two_power_minus_n[16] = {
|
|
45426LL,
|
|
18854LL,
|
|
8751LL,
|
|
4230LL,
|
|
2081LL,
|
|
1032LL,
|
|
514LL,
|
|
257LL,
|
|
128LL,
|
|
64LL,
|
|
32LL,
|
|
16LL,
|
|
8LL,
|
|
4LL,
|
|
2LL,
|
|
1LL
|
|
};
|
|
|
|
const int64_t FixedTraits<16>::arctantab[32] = {
|
|
72558LL,
|
|
51471LL,
|
|
30385LL,
|
|
16054LL,
|
|
8149LL,
|
|
4090LL,
|
|
2047LL,
|
|
1023LL,
|
|
511LL,
|
|
255LL,
|
|
127LL,
|
|
64LL,
|
|
32LL,
|
|
16LL,
|
|
8LL,
|
|
4LL,
|
|
2LL,
|
|
1LL,
|
|
0LL,
|
|
0LL,
|
|
0LL,
|
|
0LL,
|
|
0LL,
|
|
0LL,
|
|
0LL,
|
|
0LL,
|
|
0LL,
|
|
0LL,
|
|
0LL,
|
|
0LL,
|
|
0LL,
|
|
0LL
|
|
};
|
|
|
|
// 1.0 = 2^23 internal representation
|
|
|
|
const int64_t FixedTraits<23>::log_two_power_n_reversed[40] = {
|
|
232581599LL,
|
|
226767059LL,
|
|
220952519LL,
|
|
215137979LL,
|
|
209323439LL,
|
|
203508899LL,
|
|
197694359LL,
|
|
191879819LL,
|
|
186065279LL,
|
|
180250740LL,
|
|
174436200LL,
|
|
168621660LL,
|
|
162807120LL,
|
|
156992580LL,
|
|
151178040LL,
|
|
145363500LL,
|
|
139548960LL,
|
|
133734420LL,
|
|
127919880LL,
|
|
122105340LL,
|
|
116290800LL,
|
|
110476260LL,
|
|
104661720LL,
|
|
98847180LL,
|
|
93032640LL,
|
|
87218100LL,
|
|
81403560LL,
|
|
75589020LL,
|
|
69774480LL,
|
|
63959940LL,
|
|
58145400LL,
|
|
52330860LL,
|
|
46516320LL,
|
|
40701780LL,
|
|
34887240LL,
|
|
29072700LL,
|
|
23258160LL,
|
|
17443620LL,
|
|
11629080LL,
|
|
5814540LL
|
|
};
|
|
|
|
const int64_t FixedTraits<23>::log_one_plus_two_power_minus_n[23] = {
|
|
3401288LL,
|
|
1871864LL,
|
|
988036LL,
|
|
508556LL,
|
|
258131LL,
|
|
130059LL,
|
|
65281LL,
|
|
32704LL,
|
|
16368LL,
|
|
8188LL,
|
|
4095LL,
|
|
2048LL,
|
|
1024LL,
|
|
512LL,
|
|
256LL,
|
|
128LL,
|
|
64LL,
|
|
32LL,
|
|
16LL,
|
|
8LL,
|
|
4LL,
|
|
2LL,
|
|
1LL
|
|
};
|
|
|
|
const int64_t FixedTraits<23>::log_one_over_one_minus_two_power_minus_n[23] = {
|
|
5814540LL,
|
|
2413252LL,
|
|
1120143LL,
|
|
541388LL,
|
|
266327LL,
|
|
132107LL,
|
|
65793LL,
|
|
32832LL,
|
|
16400LL,
|
|
8196LL,
|
|
4097LL,
|
|
2048LL,
|
|
1024LL,
|
|
512LL,
|
|
256LL,
|
|
128LL,
|
|
64LL,
|
|
32LL,
|
|
16LL,
|
|
8LL,
|
|
4LL,
|
|
2LL,
|
|
1LL
|
|
};
|
|
|
|
const int64_t FixedTraits<23>::arctantab[32] = {
|
|
9287436LL,
|
|
6588397LL,
|
|
3889358LL,
|
|
2055029LL,
|
|
1043165LL,
|
|
523606LL,
|
|
262058LL,
|
|
131061LL,
|
|
65534LL,
|
|
32767LL,
|
|
16383LL,
|
|
8192LL,
|
|
4096LL,
|
|
2048LL,
|
|
1024LL,
|
|
512LL,
|
|
256LL,
|
|
128LL,
|
|
64LL,
|
|
32LL,
|
|
16LL,
|
|
8LL,
|
|
4LL,
|
|
2LL,
|
|
1LL,
|
|
0LL,
|
|
0LL,
|
|
0LL,
|
|
0LL,
|
|
0LL,
|
|
0LL,
|
|
0LL
|
|
};
|
|
|
|
// 1.0 = 2^24 internal representation
|
|
|
|
const int64_t FixedTraits<24>::log_two_power_n_reversed[39] = {
|
|
453534119LL,
|
|
441905039LL,
|
|
430275959LL,
|
|
418646879LL,
|
|
407017799LL,
|
|
395388719LL,
|
|
383759639LL,
|
|
372130559LL,
|
|
360501479LL,
|
|
348872399LL,
|
|
337243319LL,
|
|
325614239LL,
|
|
313985159LL,
|
|
302356079LL,
|
|
290726999LL,
|
|
279097919LL,
|
|
267468839LL,
|
|
255839759LL,
|
|
244210679LL,
|
|
232581599LL,
|
|
220952519LL,
|
|
209323439LL,
|
|
197694359LL,
|
|
186065279LL,
|
|
174436200LL,
|
|
162807120LL,
|
|
151178040LL,
|
|
139548960LL,
|
|
127919880LL,
|
|
116290800LL,
|
|
104661720LL,
|
|
93032640LL,
|
|
81403560LL,
|
|
69774480LL,
|
|
58145400LL,
|
|
46516320LL,
|
|
34887240LL,
|
|
23258160LL,
|
|
11629080LL
|
|
};
|
|
|
|
const int64_t FixedTraits<24>::log_one_plus_two_power_minus_n[24] = {
|
|
6802576LL,
|
|
3743728LL,
|
|
1976071LL,
|
|
1017112LL,
|
|
516263LL,
|
|
260117LL,
|
|
130563LL,
|
|
65408LL,
|
|
32736LL,
|
|
16376LL,
|
|
8190LL,
|
|
4096LL,
|
|
2048LL,
|
|
1024LL,
|
|
512LL,
|
|
256LL,
|
|
128LL,
|
|
64LL,
|
|
32LL,
|
|
16LL,
|
|
8LL,
|
|
4LL,
|
|
2LL,
|
|
1LL
|
|
};
|
|
|
|
const int64_t FixedTraits<24>::log_one_over_one_minus_two_power_minus_n[24] = {
|
|
11629080LL,
|
|
4826504LL,
|
|
2240285LL,
|
|
1082777LL,
|
|
532655LL,
|
|
264214LL,
|
|
131587LL,
|
|
65664LL,
|
|
32800LL,
|
|
16392LL,
|
|
8194LL,
|
|
4097LL,
|
|
2048LL,
|
|
1024LL,
|
|
512LL,
|
|
256LL,
|
|
128LL,
|
|
64LL,
|
|
32LL,
|
|
16LL,
|
|
8LL,
|
|
4LL,
|
|
2LL,
|
|
1LL
|
|
};
|
|
|
|
const int64_t FixedTraits<24>::arctantab[32] = {
|
|
18574873LL,
|
|
13176794LL,
|
|
7778716LL,
|
|
4110059LL,
|
|
2086330LL,
|
|
1047213LL,
|
|
524117LL,
|
|
262122LL,
|
|
131069LL,
|
|
65535LL,
|
|
32767LL,
|
|
16384LL,
|
|
8192LL,
|
|
4096LL,
|
|
2048LL,
|
|
1024LL,
|
|
512LL,
|
|
256LL,
|
|
128LL,
|
|
64LL,
|
|
32LL,
|
|
16LL,
|
|
8LL,
|
|
4LL,
|
|
2LL,
|
|
1LL,
|
|
0LL,
|
|
0LL,
|
|
0LL,
|
|
0LL,
|
|
0LL,
|
|
0LL
|
|
};
|
|
|