EMCAL/DCAL Trigger Mapping for Run 2
[u/mrichter/AliRoot.git] / Vc / src / const.cpp
1 /*  This file is part of the Vc library.
2
3     Copyright (C) 2009-2012 Matthias Kretz <kretz@kde.org>
4
5     Vc is free software: you can redistribute it and/or modify
6     it under the terms of the GNU Lesser General Public License as
7     published by the Free Software Foundation, either version 3 of
8     the License, or (at your option) any later version.
9
10     Vc is distributed in the hope that it will be useful, but
11     WITHOUT ANY WARRANTY; without even the implied warranty of
12     MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
13     GNU Lesser General Public License for more details.
14
15     You should have received a copy of the GNU Lesser General Public
16     License along with Vc.  If not, see <http://www.gnu.org/licenses/>.
17
18 */
19
20 #ifndef V_ALIGN
21 # ifdef __GNUC__
22 #  define V_ALIGN(n) __attribute__((aligned(n)))
23 # else
24 #  define V_ALIGN(n) __declspec(align(n))
25 # endif
26 #endif
27
28 #include "Vc/avx/const_data.h"
29 #include "Vc/sse/const_data.h"
30 #include <Vc/version.h>
31
32 #include <cstdio>
33 #include <cstdlib>
34 #include <cstring>
35
36 #include "Vc/common/macros.h"
37
38 namespace AliRoot {
39 namespace Vc
40 {
41 namespace AVX
42 {
43     // cacheline 1
44     V_ALIGN(64) extern const unsigned int   _IndexesFromZero32[8] = { 0, 1, 2, 3, 4, 5, 6, 7 };
45     V_ALIGN(16) extern const unsigned short _IndexesFromZero16[8] = { 0, 1, 2, 3, 4, 5, 6, 7 };
46     V_ALIGN(16) extern const unsigned char  _IndexesFromZero8 [16]= { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 };
47
48     template<> const double c_trig<double>::data[] = {
49     // cacheline 4
50         Vc_buildDouble(1, 0x921fb54442d18ull, -1), // π/4
51         Vc_buildDouble(1, 0x921fb40000000ull, -1), // π/4 - 30bits precision
52         Vc_buildDouble(1, 0x4442d00000000ull, -25), // π/4 remainder1 - 32bits precision
53         Vc_buildDouble(1, 0x8469898cc5170ull, -49), // π/4 remainder2
54         0.0625,
55         16.,
56         0., // padding
57         0., // padding
58     // cacheline 5
59         Vc_buildDouble( 1, 0x555555555554bull,  -5), // ~ 1/4!
60         Vc_buildDouble(-1, 0x6c16c16c14f91ull, -10), // ~-1/6!
61         Vc_buildDouble( 1, 0xa01a019c844f5ull, -16), // ~ 1/8!
62         Vc_buildDouble(-1, 0x27e4f7eac4bc6ull, -22), // ~-1/10!
63         Vc_buildDouble( 1, 0x1ee9d7b4e3f05ull, -29), // ~ 1/12!
64         Vc_buildDouble(-1, 0x8fa49a0861a9bull, -37), // ~-1/14!
65         Vc_buildDouble(-1, 0x5555555555548ull,  -3), // ~-1/3!
66         Vc_buildDouble( 1, 0x111111110f7d0ull,  -7), // ~ 1/5!
67     // cacheline 8
68         Vc_buildDouble(-1, 0xa01a019bfdf03ull, -13), // ~-1/7!
69         Vc_buildDouble( 1, 0x71de3567d48a1ull, -19), // ~ 1/9!
70         Vc_buildDouble(-1, 0xae5e5a9291f5dull, -26), // ~-1/11!
71         Vc_buildDouble( 1, 0x5d8fd1fd19ccdull, -33), // ~ 1/13!
72         0., // padding (for alignment with float)
73         Vc_buildDouble(1, 0x8BE60DB939105ull,  0), // 4/π
74         Vc_buildDouble(1, 0x921fb54442d18ull,  0), // π/2
75         Vc_buildDouble(1, 0x921fb54442d18ull,  1), // π
76     // cacheline 10
77         Vc_buildDouble(-1, 0xc007fa1f72594ull, -1), // atan P coefficients
78         Vc_buildDouble(-1, 0x028545b6b807aull,  4), // atan P coefficients
79         Vc_buildDouble(-1, 0x2c08c36880273ull,  6), // atan P coefficients
80         Vc_buildDouble(-1, 0xeb8bf2d05ba25ull,  6), // atan P coefficients
81         Vc_buildDouble(-1, 0x03669fd28ec8eull,  6), // atan P coefficients
82         Vc_buildDouble( 1, 0x8dbc45b14603cull,  4), // atan Q coefficients
83         Vc_buildDouble( 1, 0x4a0dd43b8fa25ull,  7), // atan Q coefficients
84         Vc_buildDouble( 1, 0xb0e18d2e2be3bull,  8), // atan Q coefficients
85     // cacheline 12
86         Vc_buildDouble( 1, 0xe563f13b049eaull,  8), // atan Q coefficients
87         Vc_buildDouble( 1, 0x8519efbbd62ecull,  7), // atan Q coefficients
88         Vc_buildDouble( 1, 0x3504f333f9de6ull,  1), // tan( 3/8 π )
89         0.66,                                    // lower threshold for special casing in atan
90         Vc_buildDouble(1, 0x1A62633145C07ull, -54), // remainder of pi/2
91         1.e-8, // small asin input threshold
92         0.625, // large asin input threshold
93         0., // padding
94     // cacheline 14
95         Vc_buildDouble( 1, 0x84fc3988e9f08ull, -9), // asinCoeff0
96         Vc_buildDouble(-1, 0x2079259f9290full, -1), // asinCoeff0
97         Vc_buildDouble( 1, 0xbdff5baf33e6aull,  2), // asinCoeff0
98         Vc_buildDouble(-1, 0x991aaac01ab68ull,  4), // asinCoeff0
99         Vc_buildDouble( 1, 0xc896240f3081dull,  4), // asinCoeff0
100         Vc_buildDouble(-1, 0x5f2a2b6bf5d8cull,  4), // asinCoeff1
101         Vc_buildDouble( 1, 0x26219af6a7f42ull,  7), // asinCoeff1
102         Vc_buildDouble(-1, 0x7fe08959063eeull,  8), // asinCoeff1
103     // cacheline 16
104         Vc_buildDouble( 1, 0x56709b0b644beull,  8), // asinCoeff1
105         Vc_buildDouble( 1, 0x16b9b0bd48ad3ull, -8), // asinCoeff2
106         Vc_buildDouble(-1, 0x34341333e5c16ull, -1), // asinCoeff2
107         Vc_buildDouble( 1, 0x5c74b178a2dd9ull,  2), // asinCoeff2
108         Vc_buildDouble(-1, 0x04331de27907bull,  4), // asinCoeff2
109         Vc_buildDouble( 1, 0x39007da779259ull,  4), // asinCoeff2
110         Vc_buildDouble(-1, 0x0656c06ceafd5ull,  3), // asinCoeff2
111         Vc_buildDouble(-1, 0xd7b590b5e0eabull,  3), // asinCoeff3
112     // cacheline 18
113         Vc_buildDouble( 1, 0x19fc025fe9054ull,  6), // asinCoeff3
114         Vc_buildDouble(-1, 0x265bb6d3576d7ull,  7), // asinCoeff3
115         Vc_buildDouble( 1, 0x1705684ffbf9dull,  7), // asinCoeff3
116         Vc_buildDouble(-1, 0x898220a3607acull,  5), // asinCoeff3
117     };
118 #define _4(x) x
119     template<> const float c_trig<float>::data[] = {
120     // cacheline
121         _4(Vc_buildFloat( 1, 0x490FDB,  -1)), // π/4
122         _4(Vc_buildFloat( 1, 0x491000,  -1)), // π/4 - 12 bits precision
123         _4(Vc_buildFloat(-1, 0x157000, -19)), // π/4 remainder1 - 12 bits precision
124         _4(Vc_buildFloat(-1, 0x6F4B9F, -32)), // π/4 remainder2
125         _4(0.0625f),
126         _4(16.f),
127         _4(0.f), // padding
128         _4(0.f), // padding
129         _4(4.166664568298827e-2f),  // ~ 1/4!
130         _4(-1.388731625493765e-3f), // ~-1/6!
131         _4(2.443315711809948e-5f),  // ~ 1/8!
132         _4(0.f), // padding (for alignment with double)
133         _4(0.f), // padding (for alignment with double)
134         _4(0.f), // padding (for alignment with double)
135         _4(-1.6666654611e-1f), // ~-1/3!
136         _4(8.3321608736e-3f),  // ~ 1/5!
137     // cacheline
138         _4(-1.9515295891e-4f), // ~-1/7!
139         _4(0.f), // padding (for alignment with double)
140         _4(0.f), // padding (for alignment with double)
141         _4(0.f), // padding (for alignment with double)
142         _4(8192.f), // loss threshold
143         _4(Vc_buildFloat(1, 0x22F983, 0)), // 1.27323949337005615234375 = 4/π
144         _4(Vc_buildFloat(1, 0x490FDB, 0)), // π/2
145         _4(Vc_buildFloat(1, 0x490FDB, 1)), // π
146         _4(8.05374449538e-2f), // atan P coefficients
147         _4(1.38776856032e-1f), // atan P coefficients
148         _4(1.99777106478e-1f), // atan P coefficients
149         _4(3.33329491539e-1f), // atan P coefficients
150         _4(0.f), // padding (for alignment with double)
151         _4(0.f), // padding (for alignment with double)
152         _4(0.f), // padding (for alignment with double)
153         _4(0.f), // padding (for alignment with double)
154     // cacheline
155         _4(0.f), // padding (for alignment with double)
156         _4(0.f), // padding (for alignment with double)
157         _4(2.414213562373095f), // tan( 3/8 π )
158         _4(0.414213562373095f), // tan( 1/8 π ) lower threshold for special casing in atan
159         _4(Vc_buildFloat(-1, 0x3BBD2E, -25)), // remainder of pi/2
160         _4(1.e-4f), // small asin input threshold
161         _4(0.f), // padding (for alignment with double)
162         _4(0.f), // padding (for alignment with double)
163         _4(4.2163199048e-2f), // asinCoeff0
164         _4(2.4181311049e-2f), // asinCoeff0
165         _4(4.5470025998e-2f), // asinCoeff0
166         _4(7.4953002686e-2f), // asinCoeff0
167         _4(1.6666752422e-1f), // asinCoeff0
168         _4(0.f), // padding (for alignment with double)
169         _4(0.f), // padding (for alignment with double)
170         _4(0.f), // padding (for alignment with double)
171     // cacheline
172         _4(0.f), // padding (for alignment with double)
173         _4(0.f), // padding (for alignment with double)
174         _4(0.f), // padding (for alignment with double)
175         _4(0.f), // padding (for alignment with double)
176         _4(0.f), // padding (for alignment with double)
177         _4(0.f), // padding (for alignment with double)
178         _4(0.f), // padding (for alignment with double)
179         _4(0.f), // padding (for alignment with double)
180         _4(0.f), // padding (for alignment with double)
181         _4(0.f), // padding (for alignment with double)
182         _4(0.f), // padding (for alignment with double)
183         _4(0.f), // padding (for alignment with double)
184     };
185 #undef _4
186
187     const unsigned       int c_general::absMaskFloat[2] = { 0xffffffffu, 0x7fffffffu };
188     const unsigned       int c_general::signMaskFloat[2] = { 0x0u, 0x80000000u };
189     const unsigned       int c_general::highMaskFloat = 0xfffff000u;
190     const              float c_general::oneFloat = 1.f;
191     const unsigned     short c_general::minShort[2] = { 0x8000u, 0x8000u };
192     const unsigned     short c_general::one16[2] = { 1, 1 };
193     const              float c_general::_2power31 = 1u << 31;
194
195     // cacheline 4
196     const unsigned long long c_general::highMaskDouble = 0xfffffffff8000000ull;
197     const             double c_general::oneDouble = 1.;
198     const unsigned long long c_general::frexpMask = 0xbfefffffffffffffull;
199
200     const unsigned long long c_log<double>::data[21] = {
201         0x000003ff000003ffull // bias TODO: remove
202       , 0x7ff0000000000000ull // exponentMask (+inf)
203
204       , 0x3f1ab4c293c31bb0ull // P[0]
205       , 0x3fdfd6f53f5652f2ull // P[1]
206       , 0x4012d2baed926911ull // P[2]
207       , 0x402cff72c63eeb2eull // P[3]
208       , 0x4031efd6924bc84dull // P[4]
209       , 0x401ed5637d7edcf8ull // P[5]
210
211       , 0x40269320ae97ef8eull // Q[0]
212       , 0x40469d2c4e19c033ull // Q[1]
213       , 0x4054bf33a326bdbdull // Q[2]
214       , 0x4051c9e2eb5eae21ull // Q[3]
215       , 0x4037200a9e1f25b2ull // Q[4]
216
217       , 0xfff0000000000000ull // -inf
218       , 0x0010000000000000ull // min()
219       , 0x3fe6a09e667f3bcdull // 1/sqrt(2)
220       , 0x3fe6300000000000ull // round(ln(2) * 512) / 512
221       , 0xbf2bd0105c610ca8ull // ln(2) - round(ln(2) * 512) / 512
222       , 0x3fe0000000000000ull // 0.5
223       , 0x3fdbcb7b1526e50eull // log10(e)
224       , 0x3ff71547652b82feull // log2(e)
225     };
226
227     template<> const unsigned int c_log<float>::data[21] = {
228         0x0000007fu // bias TODO: remove
229       , 0x7f800000u // exponentMask (+inf)
230
231       , 0x3d9021bbu //  7.0376836292e-2f // P[0]
232       , 0xbdebd1b8u // -1.1514610310e-1f // P[1]
233       , 0x3def251au //  1.1676998740e-1f // P[2]
234       , 0xbdfe5d4fu // -1.2420140846e-1f // P[3]
235       , 0x3e11e9bfu //  1.4249322787e-1f // P[4]
236       , 0xbe2aae50u // -1.6668057665e-1f // P[5]
237       , 0x3e4cceacu //  2.0000714765e-1f // P[6]
238       , 0xbe7ffffcu // -2.4999993993e-1f // P[7]
239       , 0x3eaaaaaau //  3.3333331174e-1f // P[8]
240       , 0           // padding because of c_log<double>
241       , 0           // padding because of c_log<double>
242
243       , 0xff800000u // -inf
244       , 0x00800000u // min()
245       , 0x3f3504f3u // 1/sqrt(2)
246       , 0x3f318000u // round(ln(2) * 512) / 512
247       , 0xb95e8083u // ln(2) - round(ln(2) * 512) / 512
248       , 0x3f000000u // 0.5
249       , 0x3ede5bd9u // log10(e)
250       , 0x3fb8aa3bu // log2(e)
251     };
252 } // namespace AVX
253
254 namespace SSE
255 {
256     // cacheline 1
257     V_ALIGN(64) const int c_general::absMaskFloat[4] = { 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff };
258     V_ALIGN(16) const unsigned int c_general::signMaskFloat[4] = { 0x80000000, 0x80000000, 0x80000000, 0x80000000 };
259     V_ALIGN(16) const unsigned int c_general::highMaskFloat[4] = { 0xfffff000u, 0xfffff000u, 0xfffff000u, 0xfffff000u };
260     V_ALIGN(16) const short c_general::minShort[8] = { -0x8000, -0x8000, -0x8000, -0x8000, -0x8000, -0x8000, -0x8000, -0x8000 };
261     V_ALIGN(16) extern const unsigned short _IndexesFromZero8[8] = { 0, 1, 2, 3, 4, 5, 6, 7 };
262
263     // cacheline 2
264     V_ALIGN(16) extern const unsigned int   _IndexesFromZero4[4] = { 0, 1, 2, 3 };
265     V_ALIGN(16) const unsigned short c_general::one16[8] = { 1, 1, 1, 1, 1, 1, 1, 1 };
266     V_ALIGN(16) const unsigned int c_general::one32[4] = { 1, 1, 1, 1 };
267     V_ALIGN(16) const float c_general::oneFloat[4] = { 1.f, 1.f, 1.f, 1.f };
268
269     // cacheline 3
270     V_ALIGN(16) const unsigned long long c_general::highMaskDouble[2] = { 0xfffffffff8000000ull, 0xfffffffff8000000ull };
271     V_ALIGN(16) const double c_general::oneDouble[2] = { 1., 1. };
272     V_ALIGN(16) const long long c_general::absMaskDouble[2] = { 0x7fffffffffffffffll, 0x7fffffffffffffffll };
273     V_ALIGN(16) const unsigned long long c_general::signMaskDouble[2] = { 0x8000000000000000ull, 0x8000000000000000ull };
274     V_ALIGN(16) const unsigned long long c_general::frexpMask[2] = { 0xbfefffffffffffffull, 0xbfefffffffffffffull };
275
276 #define _2(x) x, x
277     template<> const double c_trig<double>::data[] = {
278     // cacheline 4
279         _2(Vc_buildDouble(1, 0x921fb54442d18ull, -1)), // π/4
280         _2(Vc_buildDouble(1, 0x921fb40000000ull, -1)), // π/4 - 30bits precision
281         _2(Vc_buildDouble(1, 0x4442d00000000ull, -25)), // π/4 remainder1 - 32bits precision
282         _2(Vc_buildDouble(1, 0x8469898cc5170ull, -49)), // π/4 remainder2
283     // cacheline 5
284         _2(0.0625),
285         _2(16.),
286         _2(0.), // padding
287         _2(0.), // padding
288     // cacheline 6
289         _2(Vc_buildDouble( 1, 0x555555555554bull,  -5)), // ~ 1/4!
290         _2(Vc_buildDouble(-1, 0x6c16c16c14f91ull, -10)), // ~-1/6!
291         _2(Vc_buildDouble( 1, 0xa01a019c844f5ull, -16)), // ~ 1/8!
292         _2(Vc_buildDouble(-1, 0x27e4f7eac4bc6ull, -22)), // ~-1/10!
293     // cacheline 7
294         _2(Vc_buildDouble( 1, 0x1ee9d7b4e3f05ull, -29)), // ~ 1/12!
295         _2(Vc_buildDouble(-1, 0x8fa49a0861a9bull, -37)), // ~-1/14!
296         _2(Vc_buildDouble(-1, 0x5555555555548ull,  -3)), // ~-1/3!
297         _2(Vc_buildDouble( 1, 0x111111110f7d0ull,  -7)), // ~ 1/5!
298     // cacheline 8
299         _2(Vc_buildDouble(-1, 0xa01a019bfdf03ull, -13)), // ~-1/7!
300         _2(Vc_buildDouble( 1, 0x71de3567d48a1ull, -19)), // ~ 1/9!
301         _2(Vc_buildDouble(-1, 0xae5e5a9291f5dull, -26)), // ~-1/11!
302         _2(Vc_buildDouble( 1, 0x5d8fd1fd19ccdull, -33)), // ~ 1/13!
303     // cacheline 9
304         _2(0.), // padding (for alignment with float)
305         _2(Vc_buildDouble(1, 0x8BE60DB939105ull,  0)), // 4/π
306         _2(Vc_buildDouble(1, 0x921fb54442d18ull,  0)), // π/2
307         _2(Vc_buildDouble(1, 0x921fb54442d18ull,  1)), // π
308     // cacheline 10
309         _2(Vc_buildDouble(-1, 0xc007fa1f72594ull, -1)), // atan P coefficients
310         _2(Vc_buildDouble(-1, 0x028545b6b807aull,  4)), // atan P coefficients
311         _2(Vc_buildDouble(-1, 0x2c08c36880273ull,  6)), // atan P coefficients
312         _2(Vc_buildDouble(-1, 0xeb8bf2d05ba25ull,  6)), // atan P coefficients
313     // cacheline 11
314         _2(Vc_buildDouble(-1, 0x03669fd28ec8eull,  6)), // atan P coefficients
315         _2(Vc_buildDouble( 1, 0x8dbc45b14603cull,  4)), // atan Q coefficients
316         _2(Vc_buildDouble( 1, 0x4a0dd43b8fa25ull,  7)), // atan Q coefficients
317         _2(Vc_buildDouble( 1, 0xb0e18d2e2be3bull,  8)), // atan Q coefficients
318     // cacheline 12
319         _2(Vc_buildDouble( 1, 0xe563f13b049eaull,  8)), // atan Q coefficients
320         _2(Vc_buildDouble( 1, 0x8519efbbd62ecull,  7)), // atan Q coefficients
321         _2(Vc_buildDouble( 1, 0x3504f333f9de6ull,  1)), // tan( 3/8 π )
322         _2(0.66),                                    // lower threshold for special casing in atan
323     // cacheline 13
324         _2(Vc_buildDouble(1, 0x1A62633145C07ull, -54)), // remainder of pi/2
325         _2(1.e-8), // small asin input threshold
326         _2(0.625), // large asin input threshold
327         _2(0.), // padding
328     // cacheline 14
329         _2(Vc_buildDouble( 1, 0x84fc3988e9f08ull, -9)), // asinCoeff0
330         _2(Vc_buildDouble(-1, 0x2079259f9290full, -1)), // asinCoeff0
331         _2(Vc_buildDouble( 1, 0xbdff5baf33e6aull,  2)), // asinCoeff0
332         _2(Vc_buildDouble(-1, 0x991aaac01ab68ull,  4)), // asinCoeff0
333     // cacheline 15
334         _2(Vc_buildDouble( 1, 0xc896240f3081dull,  4)), // asinCoeff0
335         _2(Vc_buildDouble(-1, 0x5f2a2b6bf5d8cull,  4)), // asinCoeff1
336         _2(Vc_buildDouble( 1, 0x26219af6a7f42ull,  7)), // asinCoeff1
337         _2(Vc_buildDouble(-1, 0x7fe08959063eeull,  8)), // asinCoeff1
338     // cacheline 16
339         _2(Vc_buildDouble( 1, 0x56709b0b644beull,  8)), // asinCoeff1
340         _2(Vc_buildDouble( 1, 0x16b9b0bd48ad3ull, -8)), // asinCoeff2
341         _2(Vc_buildDouble(-1, 0x34341333e5c16ull, -1)), // asinCoeff2
342         _2(Vc_buildDouble( 1, 0x5c74b178a2dd9ull,  2)), // asinCoeff2
343     // cacheline 17
344         _2(Vc_buildDouble(-1, 0x04331de27907bull,  4)), // asinCoeff2
345         _2(Vc_buildDouble( 1, 0x39007da779259ull,  4)), // asinCoeff2
346         _2(Vc_buildDouble(-1, 0x0656c06ceafd5ull,  3)), // asinCoeff2
347         _2(Vc_buildDouble(-1, 0xd7b590b5e0eabull,  3)), // asinCoeff3
348     // cacheline 18
349         _2(Vc_buildDouble( 1, 0x19fc025fe9054ull,  6)), // asinCoeff3
350         _2(Vc_buildDouble(-1, 0x265bb6d3576d7ull,  7)), // asinCoeff3
351         _2(Vc_buildDouble( 1, 0x1705684ffbf9dull,  7)), // asinCoeff3
352         _2(Vc_buildDouble(-1, 0x898220a3607acull,  5)), // asinCoeff3
353     };
354 #undef _2
355 #define _4(x) x, x, x, x
356     template<> const float c_trig<float>::data[] = {
357     // cacheline
358         _4(Vc_buildFloat( 1, 0x490FDB,  -1)), // π/4
359         _4(Vc_buildFloat( 1, 0x491000,  -1)), // π/4 - 12 bits precision
360         _4(Vc_buildFloat(-1, 0x157000, -19)), // π/4 remainder1 - 12 bits precision
361         _4(Vc_buildFloat(-1, 0x6F4B9F, -32)), // π/4 remainder2
362     // cacheline
363         _4(0.0625f),
364         _4(16.f),
365         _4(0.f), // padding
366         _4(0.f), // padding
367     // cacheline
368         _4(4.166664568298827e-2f),  // ~ 1/4!
369         _4(-1.388731625493765e-3f), // ~-1/6!
370         _4(2.443315711809948e-5f),  // ~ 1/8!
371         _4(0.f), // padding (for alignment with double)
372     // cacheline
373         _4(0.f), // padding (for alignment with double)
374         _4(0.f), // padding (for alignment with double)
375         _4(-1.6666654611e-1f), // ~-1/3!
376         _4(8.3321608736e-3f),  // ~ 1/5!
377     // cacheline
378         _4(-1.9515295891e-4f), // ~-1/7!
379         _4(0.f), // padding (for alignment with double)
380         _4(0.f), // padding (for alignment with double)
381         _4(0.f), // padding (for alignment with double)
382     // cacheline
383         _4(8192.f), // loss threshold
384         _4(Vc_buildFloat(1, 0x22F983, 0)), // 1.27323949337005615234375 = 4/π
385         _4(Vc_buildFloat(1, 0x490FDB, 0)), // π/2
386         _4(Vc_buildFloat(1, 0x490FDB, 1)), // π
387     // cacheline
388         _4(8.05374449538e-2f), // atan P coefficients
389         _4(1.38776856032e-1f), // atan P coefficients
390         _4(1.99777106478e-1f), // atan P coefficients
391         _4(3.33329491539e-1f), // atan P coefficients
392     // cacheline
393         _4(0.f), // padding (for alignment with double)
394         _4(0.f), // padding (for alignment with double)
395         _4(0.f), // padding (for alignment with double)
396         _4(0.f), // padding (for alignment with double)
397     // cacheline
398         _4(0.f), // padding (for alignment with double)
399         _4(0.f), // padding (for alignment with double)
400         _4(2.414213562373095f), // tan( 3/8 π )
401         _4(0.414213562373095f), // tan( 1/8 π ) lower threshold for special casing in atan
402     // cacheline
403         _4(Vc_buildFloat(-1, 0x3BBD2E, -25)), // remainder of pi/2
404         _4(1.e-4f), // small asin input threshold
405         _4(0.f), // padding (for alignment with double)
406         _4(0.f), // padding (for alignment with double)
407     // cacheline
408         _4(4.2163199048e-2f), // asinCoeff0
409         _4(2.4181311049e-2f), // asinCoeff0
410         _4(4.5470025998e-2f), // asinCoeff0
411         _4(7.4953002686e-2f), // asinCoeff0
412     // cacheline
413         _4(1.6666752422e-1f), // asinCoeff0
414         _4(0.f), // padding (for alignment with double)
415         _4(0.f), // padding (for alignment with double)
416         _4(0.f), // padding (for alignment with double)
417     // cacheline
418         _4(0.f), // padding (for alignment with double)
419         _4(0.f), // padding (for alignment with double)
420         _4(0.f), // padding (for alignment with double)
421         _4(0.f), // padding (for alignment with double)
422     // cacheline
423         _4(0.f), // padding (for alignment with double)
424         _4(0.f), // padding (for alignment with double)
425         _4(0.f), // padding (for alignment with double)
426         _4(0.f), // padding (for alignment with double)
427     // cacheline
428         _4(0.f), // padding (for alignment with double)
429         _4(0.f), // padding (for alignment with double)
430         _4(0.f), // padding (for alignment with double)
431         _4(0.f), // padding (for alignment with double)
432     };
433 #undef _4
434
435     // cacheline 8
436     V_ALIGN(16) extern const unsigned char _IndexesFromZero16[16] = { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 };
437
438     V_ALIGN(64) const unsigned long long c_log<double>::data[21 * 2] = {
439       /* 0*/   0x000003ff000003ffull, 0x000003ff000003ffull // bias TODO: remove
440       /* 1*/ , 0x7ff0000000000000ull, 0x7ff0000000000000ull // exponentMask (+inf)
441
442       /* 2*/ , 0x3f1ab4c293c31bb0ull, 0x3f1ab4c293c31bb0ull // P[0]
443       /* 3*/ , 0x3fdfd6f53f5652f2ull, 0x3fdfd6f53f5652f2ull // P[1]
444       /* 4*/ , 0x4012d2baed926911ull, 0x4012d2baed926911ull // P[2]
445       /* 5*/ , 0x402cff72c63eeb2eull, 0x402cff72c63eeb2eull // P[3]
446       /* 6*/ , 0x4031efd6924bc84dull, 0x4031efd6924bc84dull // P[4]
447       /* 7*/ , 0x401ed5637d7edcf8ull, 0x401ed5637d7edcf8ull // P[5]
448
449       /* 8*/ , 0x40269320ae97ef8eull, 0x40269320ae97ef8eull // Q[0]
450       /* 9*/ , 0x40469d2c4e19c033ull, 0x40469d2c4e19c033ull // Q[1]
451       /*10*/ , 0x4054bf33a326bdbdull, 0x4054bf33a326bdbdull // Q[2]
452       /*11*/ , 0x4051c9e2eb5eae21ull, 0x4051c9e2eb5eae21ull // Q[3]
453       /*12*/ , 0x4037200a9e1f25b2ull, 0x4037200a9e1f25b2ull // Q[4]
454
455       /*13*/ , 0xfff0000000000000ull, 0xfff0000000000000ull // -inf
456       /*14*/ , 0x0010000000000000ull, 0x0010000000000000ull // min()
457       /*15*/ , 0x3fe6a09e667f3bcdull, 0x3fe6a09e667f3bcdull // 1/sqrt(2)
458       /*16*/ , 0x3fe6300000000000ull, 0x3fe6300000000000ull // round(ln(2) * 512) / 512
459       /*17*/ , 0xbf2bd0105c610ca8ull, 0xbf2bd0105c610ca8ull // ln(2) - round(ln(2) * 512) / 512
460       /*18*/ , 0x3fe0000000000000ull, 0x3fe0000000000000ull // 0.5
461       /*19*/ , 0x3fdbcb7b1526e50eull, 0x3fdbcb7b1526e50eull // log10(e)
462       /*20*/ , 0x3ff71547652b82feull, 0x3ff71547652b82feull // log2(e)
463     };
464
465     template<> V_ALIGN(64) const unsigned int c_log<float>::data[21 * 4] = {
466         0x0000007fu, 0x0000007fu, 0x0000007fu, 0x0000007fu, // bias TODO: remove
467         0x7f800000u, 0x7f800000u, 0x7f800000u, 0x7f800000u, // exponentMask (+inf)
468
469         0x3d9021bbu, 0x3d9021bbu, 0x3d9021bbu, 0x3d9021bbu, //  7.0376836292e-2f // P[0]
470         0xbdebd1b8u, 0xbdebd1b8u, 0xbdebd1b8u, 0xbdebd1b8u, // -1.1514610310e-1f // P[1]
471         0x3def251au, 0x3def251au, 0x3def251au, 0x3def251au, //  1.1676998740e-1f // P[2]
472         0xbdfe5d4fu, 0xbdfe5d4fu, 0xbdfe5d4fu, 0xbdfe5d4fu, // -1.2420140846e-1f // P[3]
473         0x3e11e9bfu, 0x3e11e9bfu, 0x3e11e9bfu, 0x3e11e9bfu, //  1.4249322787e-1f // P[4]
474         0xbe2aae50u, 0xbe2aae50u, 0xbe2aae50u, 0xbe2aae50u, // -1.6668057665e-1f // P[5]
475         0x3e4cceacu, 0x3e4cceacu, 0x3e4cceacu, 0x3e4cceacu, //  2.0000714765e-1f // P[6]
476         0xbe7ffffcu, 0xbe7ffffcu, 0xbe7ffffcu, 0xbe7ffffcu, // -2.4999993993e-1f // P[7]
477         0x3eaaaaaau, 0x3eaaaaaau, 0x3eaaaaaau, 0x3eaaaaaau, //  3.3333331174e-1f // P[8]
478         0,           0,           0,           0,           // padding because of c_log<double>
479         0,           0,           0,           0,           // padding because of c_log<double>
480
481         0xff800000u, 0xff800000u, 0xff800000u, 0xff800000u, // -inf
482         0x00800000u, 0x00800000u, 0x00800000u, 0x00800000u, // min()
483         0x3f3504f3u, 0x3f3504f3u, 0x3f3504f3u, 0x3f3504f3u, // 1/sqrt(2)
484         // ln(2) = 0x3fe62e42fefa39ef
485         // ln(2) = Vc_buildDouble( 1, 0x00062e42fefa39ef, -1)
486         //       = Vc_buildFloat( 1, 0x00317217(f7d), -1) + Vc_buildFloat( 1, 0x0077d1cd, -25)
487         //       = Vc_buildFloat( 1, 0x00318000(000), -1) + Vc_buildFloat(-1, 0x005e8083, -13)
488         0x3f318000u, 0x3f318000u, 0x3f318000u, 0x3f318000u, // round(ln(2) * 512) / 512
489         0xb95e8083u, 0xb95e8083u, 0xb95e8083u, 0xb95e8083u, // ln(2) - round(ln(2) * 512) / 512
490         0x3f000000u, 0x3f000000u, 0x3f000000u, 0x3f000000u, // 0.5
491         0x3ede5bd9u, 0x3ede5bd9u, 0x3ede5bd9u, 0x3ede5bd9u, // log10(e)
492         0x3fb8aa3bu, 0x3fb8aa3bu, 0x3fb8aa3bu, 0x3fb8aa3bu, // log2(e)
493         // log10(2) = 0x3fd34413509f79ff
494         //          = Vc_buildDouble( 1, 0x00034413509f79ff, -2)
495         //          = Vc_buildFloat( 1, 0x001a209a(84fbcff8), -2) + Vc_buildFloat( 1, 0x0004fbcff(8), -26)
496         //Vc_buildFloat( 1, 0x001a209a, -2), // log10(2)
497         //Vc_buildFloat( 1, 0x001a209a, -2), // log10(2)
498         //Vc_buildFloat( 1, 0x001a209a, -2), // log10(2)
499         //Vc_buildFloat( 1, 0x001a209a, -2), // log10(2)
500     };
501 } // namespace SSE
502
503 V_ALIGN(64) unsigned int RandomState[16] = {
504     0x5a383a4fu, 0xc68bd45eu, 0x691d6d86u, 0xb367e14fu,
505     0xd689dbaau, 0xfde442aau, 0x3d265423u, 0x1a77885cu,
506     0x36ed2684u, 0xfb1f049du, 0x19e52f31u, 0x821e4dd7u,
507     0x23996d25u, 0x5962725au, 0x6aced4ceu, 0xd4c610f3u
508 };
509
510 // dummy symbol to emit warnings with GCC 4.3
511 namespace Warnings {
512     void _operator_bracket_warning() {}
513 } // namespace Warnings
514
515 const char LIBRARY_VERSION[] = VC_VERSION_STRING;
516 const unsigned int LIBRARY_VERSION_NUMBER = VC_VERSION_NUMBER;
517 const unsigned int LIBRARY_ABI_VERSION = VC_LIBRARY_ABI_VERSION;
518
519 void checkLibraryAbi(unsigned int compileTimeAbi, unsigned int versionNumber, const char *compileTimeVersion) {
520     if (LIBRARY_ABI_VERSION != compileTimeAbi || LIBRARY_VERSION_NUMBER < versionNumber) {
521         printf("The versions of libVc.a (%s) and Vc/version.h (%s) are incompatible. Aborting.\n", LIBRARY_VERSION, compileTimeVersion);
522         abort();
523     }
524 }
525
526 } // namespace Vc
527 } // namespace AliRoot
528
529 #undef V_ALIGN