--- /dev/null
+/* This file is part of the Vc library.
+
+ Copyright (C) 2009-2012 Matthias Kretz <kretz@kde.org>
+
+ Vc is free software: you can redistribute it and/or modify
+ it under the terms of the GNU Lesser General Public License as
+ published by the Free Software Foundation, either version 3 of
+ the License, or (at your option) any later version.
+
+ Vc 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 Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public
+ License along with Vc. If not, see <http://www.gnu.org/licenses/>.
+
+*/
+
+#ifndef V_ALIGN
+# ifdef __GNUC__
+# define V_ALIGN(n) __attribute__((aligned(n)))
+# else
+# define V_ALIGN(n) __declspec(align(n))
+# endif
+#endif
+
+#include "Vc/avx/const_data.h"
+#include "Vc/sse/const_data.h"
+#include <Vc/version.h>
+
+#include <cstdio>
+#include <cstdlib>
+#include <cstring>
+
+#include "Vc/common/macros.h"
+
+namespace AliRoot {
+namespace Vc
+{
+namespace AVX
+{
+ // cacheline 1
+ V_ALIGN(64) extern const unsigned int _IndexesFromZero32[8] = { 0, 1, 2, 3, 4, 5, 6, 7 };
+ V_ALIGN(16) extern const unsigned short _IndexesFromZero16[8] = { 0, 1, 2, 3, 4, 5, 6, 7 };
+ 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 };
+
+ template<> const double c_trig<double>::data[] = {
+ // cacheline 4
+ Vc_buildDouble(1, 0x921fb54442d18ull, -1), // π/4
+ Vc_buildDouble(1, 0x921fb40000000ull, -1), // π/4 - 30bits precision
+ Vc_buildDouble(1, 0x4442d00000000ull, -25), // π/4 remainder1 - 32bits precision
+ Vc_buildDouble(1, 0x8469898cc5170ull, -49), // π/4 remainder2
+ 0.0625,
+ 16.,
+ 0., // padding
+ 0., // padding
+ // cacheline 5
+ Vc_buildDouble( 1, 0x555555555554bull, -5), // ~ 1/4!
+ Vc_buildDouble(-1, 0x6c16c16c14f91ull, -10), // ~-1/6!
+ Vc_buildDouble( 1, 0xa01a019c844f5ull, -16), // ~ 1/8!
+ Vc_buildDouble(-1, 0x27e4f7eac4bc6ull, -22), // ~-1/10!
+ Vc_buildDouble( 1, 0x1ee9d7b4e3f05ull, -29), // ~ 1/12!
+ Vc_buildDouble(-1, 0x8fa49a0861a9bull, -37), // ~-1/14!
+ Vc_buildDouble(-1, 0x5555555555548ull, -3), // ~-1/3!
+ Vc_buildDouble( 1, 0x111111110f7d0ull, -7), // ~ 1/5!
+ // cacheline 8
+ Vc_buildDouble(-1, 0xa01a019bfdf03ull, -13), // ~-1/7!
+ Vc_buildDouble( 1, 0x71de3567d48a1ull, -19), // ~ 1/9!
+ Vc_buildDouble(-1, 0xae5e5a9291f5dull, -26), // ~-1/11!
+ Vc_buildDouble( 1, 0x5d8fd1fd19ccdull, -33), // ~ 1/13!
+ 0., // padding (for alignment with float)
+ Vc_buildDouble(1, 0x8BE60DB939105ull, 0), // 4/π
+ Vc_buildDouble(1, 0x921fb54442d18ull, 0), // π/2
+ Vc_buildDouble(1, 0x921fb54442d18ull, 1), // π
+ // cacheline 10
+ Vc_buildDouble(-1, 0xc007fa1f72594ull, -1), // atan P coefficients
+ Vc_buildDouble(-1, 0x028545b6b807aull, 4), // atan P coefficients
+ Vc_buildDouble(-1, 0x2c08c36880273ull, 6), // atan P coefficients
+ Vc_buildDouble(-1, 0xeb8bf2d05ba25ull, 6), // atan P coefficients
+ Vc_buildDouble(-1, 0x03669fd28ec8eull, 6), // atan P coefficients
+ Vc_buildDouble( 1, 0x8dbc45b14603cull, 4), // atan Q coefficients
+ Vc_buildDouble( 1, 0x4a0dd43b8fa25ull, 7), // atan Q coefficients
+ Vc_buildDouble( 1, 0xb0e18d2e2be3bull, 8), // atan Q coefficients
+ // cacheline 12
+ Vc_buildDouble( 1, 0xe563f13b049eaull, 8), // atan Q coefficients
+ Vc_buildDouble( 1, 0x8519efbbd62ecull, 7), // atan Q coefficients
+ Vc_buildDouble( 1, 0x3504f333f9de6ull, 1), // tan( 3/8 π )
+ 0.66, // lower threshold for special casing in atan
+ Vc_buildDouble(1, 0x1A62633145C07ull, -54), // remainder of pi/2
+ 1.e-8, // small asin input threshold
+ 0.625, // large asin input threshold
+ 0., // padding
+ // cacheline 14
+ Vc_buildDouble( 1, 0x84fc3988e9f08ull, -9), // asinCoeff0
+ Vc_buildDouble(-1, 0x2079259f9290full, -1), // asinCoeff0
+ Vc_buildDouble( 1, 0xbdff5baf33e6aull, 2), // asinCoeff0
+ Vc_buildDouble(-1, 0x991aaac01ab68ull, 4), // asinCoeff0
+ Vc_buildDouble( 1, 0xc896240f3081dull, 4), // asinCoeff0
+ Vc_buildDouble(-1, 0x5f2a2b6bf5d8cull, 4), // asinCoeff1
+ Vc_buildDouble( 1, 0x26219af6a7f42ull, 7), // asinCoeff1
+ Vc_buildDouble(-1, 0x7fe08959063eeull, 8), // asinCoeff1
+ // cacheline 16
+ Vc_buildDouble( 1, 0x56709b0b644beull, 8), // asinCoeff1
+ Vc_buildDouble( 1, 0x16b9b0bd48ad3ull, -8), // asinCoeff2
+ Vc_buildDouble(-1, 0x34341333e5c16ull, -1), // asinCoeff2
+ Vc_buildDouble( 1, 0x5c74b178a2dd9ull, 2), // asinCoeff2
+ Vc_buildDouble(-1, 0x04331de27907bull, 4), // asinCoeff2
+ Vc_buildDouble( 1, 0x39007da779259ull, 4), // asinCoeff2
+ Vc_buildDouble(-1, 0x0656c06ceafd5ull, 3), // asinCoeff2
+ Vc_buildDouble(-1, 0xd7b590b5e0eabull, 3), // asinCoeff3
+ // cacheline 18
+ Vc_buildDouble( 1, 0x19fc025fe9054ull, 6), // asinCoeff3
+ Vc_buildDouble(-1, 0x265bb6d3576d7ull, 7), // asinCoeff3
+ Vc_buildDouble( 1, 0x1705684ffbf9dull, 7), // asinCoeff3
+ Vc_buildDouble(-1, 0x898220a3607acull, 5), // asinCoeff3
+ };
+#define _4(x) x
+ template<> const float c_trig<float>::data[] = {
+ // cacheline
+ _4(Vc_buildFloat( 1, 0x490FDB, -1)), // π/4
+ _4(Vc_buildFloat( 1, 0x491000, -1)), // π/4 - 12 bits precision
+ _4(Vc_buildFloat(-1, 0x157000, -19)), // π/4 remainder1 - 12 bits precision
+ _4(Vc_buildFloat(-1, 0x6F4B9F, -32)), // π/4 remainder2
+ _4(0.0625f),
+ _4(16.f),
+ _4(0.f), // padding
+ _4(0.f), // padding
+ _4(4.166664568298827e-2f), // ~ 1/4!
+ _4(-1.388731625493765e-3f), // ~-1/6!
+ _4(2.443315711809948e-5f), // ~ 1/8!
+ _4(0.f), // padding (for alignment with double)
+ _4(0.f), // padding (for alignment with double)
+ _4(0.f), // padding (for alignment with double)
+ _4(-1.6666654611e-1f), // ~-1/3!
+ _4(8.3321608736e-3f), // ~ 1/5!
+ // cacheline
+ _4(-1.9515295891e-4f), // ~-1/7!
+ _4(0.f), // padding (for alignment with double)
+ _4(0.f), // padding (for alignment with double)
+ _4(0.f), // padding (for alignment with double)
+ _4(8192.f), // loss threshold
+ _4(Vc_buildFloat(1, 0x22F983, 0)), // 1.27323949337005615234375 = 4/π
+ _4(Vc_buildFloat(1, 0x490FDB, 0)), // π/2
+ _4(Vc_buildFloat(1, 0x490FDB, 1)), // π
+ _4(8.05374449538e-2f), // atan P coefficients
+ _4(1.38776856032e-1f), // atan P coefficients
+ _4(1.99777106478e-1f), // atan P coefficients
+ _4(3.33329491539e-1f), // atan P coefficients
+ _4(0.f), // padding (for alignment with double)
+ _4(0.f), // padding (for alignment with double)
+ _4(0.f), // padding (for alignment with double)
+ _4(0.f), // padding (for alignment with double)
+ // cacheline
+ _4(0.f), // padding (for alignment with double)
+ _4(0.f), // padding (for alignment with double)
+ _4(2.414213562373095f), // tan( 3/8 π )
+ _4(0.414213562373095f), // tan( 1/8 π ) lower threshold for special casing in atan
+ _4(Vc_buildFloat(-1, 0x3BBD2E, -25)), // remainder of pi/2
+ _4(1.e-4f), // small asin input threshold
+ _4(0.f), // padding (for alignment with double)
+ _4(0.f), // padding (for alignment with double)
+ _4(4.2163199048e-2f), // asinCoeff0
+ _4(2.4181311049e-2f), // asinCoeff0
+ _4(4.5470025998e-2f), // asinCoeff0
+ _4(7.4953002686e-2f), // asinCoeff0
+ _4(1.6666752422e-1f), // asinCoeff0
+ _4(0.f), // padding (for alignment with double)
+ _4(0.f), // padding (for alignment with double)
+ _4(0.f), // padding (for alignment with double)
+ // cacheline
+ _4(0.f), // padding (for alignment with double)
+ _4(0.f), // padding (for alignment with double)
+ _4(0.f), // padding (for alignment with double)
+ _4(0.f), // padding (for alignment with double)
+ _4(0.f), // padding (for alignment with double)
+ _4(0.f), // padding (for alignment with double)
+ _4(0.f), // padding (for alignment with double)
+ _4(0.f), // padding (for alignment with double)
+ _4(0.f), // padding (for alignment with double)
+ _4(0.f), // padding (for alignment with double)
+ _4(0.f), // padding (for alignment with double)
+ _4(0.f), // padding (for alignment with double)
+ };
+#undef _4
+
+ const unsigned int c_general::absMaskFloat[2] = { 0xffffffffu, 0x7fffffffu };
+ const unsigned int c_general::signMaskFloat[2] = { 0x0u, 0x80000000u };
+ const unsigned int c_general::highMaskFloat = 0xfffff000u;
+ const float c_general::oneFloat = 1.f;
+ const unsigned short c_general::minShort[2] = { 0x8000u, 0x8000u };
+ const unsigned short c_general::one16[2] = { 1, 1 };
+ const float c_general::_2power31 = 1u << 31;
+
+ // cacheline 4
+ const unsigned long long c_general::highMaskDouble = 0xfffffffff8000000ull;
+ const double c_general::oneDouble = 1.;
+ const unsigned long long c_general::frexpMask = 0xbfefffffffffffffull;
+
+ const unsigned long long c_log<double>::data[21] = {
+ 0x000003ff000003ffull // bias TODO: remove
+ , 0x7ff0000000000000ull // exponentMask (+inf)
+
+ , 0x3f1ab4c293c31bb0ull // P[0]
+ , 0x3fdfd6f53f5652f2ull // P[1]
+ , 0x4012d2baed926911ull // P[2]
+ , 0x402cff72c63eeb2eull // P[3]
+ , 0x4031efd6924bc84dull // P[4]
+ , 0x401ed5637d7edcf8ull // P[5]
+
+ , 0x40269320ae97ef8eull // Q[0]
+ , 0x40469d2c4e19c033ull // Q[1]
+ , 0x4054bf33a326bdbdull // Q[2]
+ , 0x4051c9e2eb5eae21ull // Q[3]
+ , 0x4037200a9e1f25b2ull // Q[4]
+
+ , 0xfff0000000000000ull // -inf
+ , 0x0010000000000000ull // min()
+ , 0x3fe6a09e667f3bcdull // 1/sqrt(2)
+ , 0x3fe6300000000000ull // round(ln(2) * 512) / 512
+ , 0xbf2bd0105c610ca8ull // ln(2) - round(ln(2) * 512) / 512
+ , 0x3fe0000000000000ull // 0.5
+ , 0x3fdbcb7b1526e50eull // log10(e)
+ , 0x3ff71547652b82feull // log2(e)
+ };
+
+ template<> const unsigned int c_log<float>::data[21] = {
+ 0x0000007fu // bias TODO: remove
+ , 0x7f800000u // exponentMask (+inf)
+
+ , 0x3d9021bbu // 7.0376836292e-2f // P[0]
+ , 0xbdebd1b8u // -1.1514610310e-1f // P[1]
+ , 0x3def251au // 1.1676998740e-1f // P[2]
+ , 0xbdfe5d4fu // -1.2420140846e-1f // P[3]
+ , 0x3e11e9bfu // 1.4249322787e-1f // P[4]
+ , 0xbe2aae50u // -1.6668057665e-1f // P[5]
+ , 0x3e4cceacu // 2.0000714765e-1f // P[6]
+ , 0xbe7ffffcu // -2.4999993993e-1f // P[7]
+ , 0x3eaaaaaau // 3.3333331174e-1f // P[8]
+ , 0 // padding because of c_log<double>
+ , 0 // padding because of c_log<double>
+
+ , 0xff800000u // -inf
+ , 0x00800000u // min()
+ , 0x3f3504f3u // 1/sqrt(2)
+ , 0x3f318000u // round(ln(2) * 512) / 512
+ , 0xb95e8083u // ln(2) - round(ln(2) * 512) / 512
+ , 0x3f000000u // 0.5
+ , 0x3ede5bd9u // log10(e)
+ , 0x3fb8aa3bu // log2(e)
+ };
+} // namespace AVX
+
+namespace SSE
+{
+ // cacheline 1
+ V_ALIGN(64) const int c_general::absMaskFloat[4] = { 0x7fffffff, 0x7fffffff, 0x7fffffff, 0x7fffffff };
+ V_ALIGN(16) const unsigned int c_general::signMaskFloat[4] = { 0x80000000, 0x80000000, 0x80000000, 0x80000000 };
+ V_ALIGN(16) const unsigned int c_general::highMaskFloat[4] = { 0xfffff000u, 0xfffff000u, 0xfffff000u, 0xfffff000u };
+ V_ALIGN(16) const short c_general::minShort[8] = { -0x8000, -0x8000, -0x8000, -0x8000, -0x8000, -0x8000, -0x8000, -0x8000 };
+ V_ALIGN(16) extern const unsigned short _IndexesFromZero8[8] = { 0, 1, 2, 3, 4, 5, 6, 7 };
+
+ // cacheline 2
+ V_ALIGN(16) extern const unsigned int _IndexesFromZero4[4] = { 0, 1, 2, 3 };
+ V_ALIGN(16) const unsigned short c_general::one16[8] = { 1, 1, 1, 1, 1, 1, 1, 1 };
+ V_ALIGN(16) const unsigned int c_general::one32[4] = { 1, 1, 1, 1 };
+ V_ALIGN(16) const float c_general::oneFloat[4] = { 1.f, 1.f, 1.f, 1.f };
+
+ // cacheline 3
+ V_ALIGN(16) const unsigned long long c_general::highMaskDouble[2] = { 0xfffffffff8000000ull, 0xfffffffff8000000ull };
+ V_ALIGN(16) const double c_general::oneDouble[2] = { 1., 1. };
+ V_ALIGN(16) const long long c_general::absMaskDouble[2] = { 0x7fffffffffffffffll, 0x7fffffffffffffffll };
+ V_ALIGN(16) const unsigned long long c_general::signMaskDouble[2] = { 0x8000000000000000ull, 0x8000000000000000ull };
+ V_ALIGN(16) const unsigned long long c_general::frexpMask[2] = { 0xbfefffffffffffffull, 0xbfefffffffffffffull };
+
+#define _2(x) x, x
+ template<> const double c_trig<double>::data[] = {
+ // cacheline 4
+ _2(Vc_buildDouble(1, 0x921fb54442d18ull, -1)), // π/4
+ _2(Vc_buildDouble(1, 0x921fb40000000ull, -1)), // π/4 - 30bits precision
+ _2(Vc_buildDouble(1, 0x4442d00000000ull, -25)), // π/4 remainder1 - 32bits precision
+ _2(Vc_buildDouble(1, 0x8469898cc5170ull, -49)), // π/4 remainder2
+ // cacheline 5
+ _2(0.0625),
+ _2(16.),
+ _2(0.), // padding
+ _2(0.), // padding
+ // cacheline 6
+ _2(Vc_buildDouble( 1, 0x555555555554bull, -5)), // ~ 1/4!
+ _2(Vc_buildDouble(-1, 0x6c16c16c14f91ull, -10)), // ~-1/6!
+ _2(Vc_buildDouble( 1, 0xa01a019c844f5ull, -16)), // ~ 1/8!
+ _2(Vc_buildDouble(-1, 0x27e4f7eac4bc6ull, -22)), // ~-1/10!
+ // cacheline 7
+ _2(Vc_buildDouble( 1, 0x1ee9d7b4e3f05ull, -29)), // ~ 1/12!
+ _2(Vc_buildDouble(-1, 0x8fa49a0861a9bull, -37)), // ~-1/14!
+ _2(Vc_buildDouble(-1, 0x5555555555548ull, -3)), // ~-1/3!
+ _2(Vc_buildDouble( 1, 0x111111110f7d0ull, -7)), // ~ 1/5!
+ // cacheline 8
+ _2(Vc_buildDouble(-1, 0xa01a019bfdf03ull, -13)), // ~-1/7!
+ _2(Vc_buildDouble( 1, 0x71de3567d48a1ull, -19)), // ~ 1/9!
+ _2(Vc_buildDouble(-1, 0xae5e5a9291f5dull, -26)), // ~-1/11!
+ _2(Vc_buildDouble( 1, 0x5d8fd1fd19ccdull, -33)), // ~ 1/13!
+ // cacheline 9
+ _2(0.), // padding (for alignment with float)
+ _2(Vc_buildDouble(1, 0x8BE60DB939105ull, 0)), // 4/π
+ _2(Vc_buildDouble(1, 0x921fb54442d18ull, 0)), // π/2
+ _2(Vc_buildDouble(1, 0x921fb54442d18ull, 1)), // π
+ // cacheline 10
+ _2(Vc_buildDouble(-1, 0xc007fa1f72594ull, -1)), // atan P coefficients
+ _2(Vc_buildDouble(-1, 0x028545b6b807aull, 4)), // atan P coefficients
+ _2(Vc_buildDouble(-1, 0x2c08c36880273ull, 6)), // atan P coefficients
+ _2(Vc_buildDouble(-1, 0xeb8bf2d05ba25ull, 6)), // atan P coefficients
+ // cacheline 11
+ _2(Vc_buildDouble(-1, 0x03669fd28ec8eull, 6)), // atan P coefficients
+ _2(Vc_buildDouble( 1, 0x8dbc45b14603cull, 4)), // atan Q coefficients
+ _2(Vc_buildDouble( 1, 0x4a0dd43b8fa25ull, 7)), // atan Q coefficients
+ _2(Vc_buildDouble( 1, 0xb0e18d2e2be3bull, 8)), // atan Q coefficients
+ // cacheline 12
+ _2(Vc_buildDouble( 1, 0xe563f13b049eaull, 8)), // atan Q coefficients
+ _2(Vc_buildDouble( 1, 0x8519efbbd62ecull, 7)), // atan Q coefficients
+ _2(Vc_buildDouble( 1, 0x3504f333f9de6ull, 1)), // tan( 3/8 π )
+ _2(0.66), // lower threshold for special casing in atan
+ // cacheline 13
+ _2(Vc_buildDouble(1, 0x1A62633145C07ull, -54)), // remainder of pi/2
+ _2(1.e-8), // small asin input threshold
+ _2(0.625), // large asin input threshold
+ _2(0.), // padding
+ // cacheline 14
+ _2(Vc_buildDouble( 1, 0x84fc3988e9f08ull, -9)), // asinCoeff0
+ _2(Vc_buildDouble(-1, 0x2079259f9290full, -1)), // asinCoeff0
+ _2(Vc_buildDouble( 1, 0xbdff5baf33e6aull, 2)), // asinCoeff0
+ _2(Vc_buildDouble(-1, 0x991aaac01ab68ull, 4)), // asinCoeff0
+ // cacheline 15
+ _2(Vc_buildDouble( 1, 0xc896240f3081dull, 4)), // asinCoeff0
+ _2(Vc_buildDouble(-1, 0x5f2a2b6bf5d8cull, 4)), // asinCoeff1
+ _2(Vc_buildDouble( 1, 0x26219af6a7f42ull, 7)), // asinCoeff1
+ _2(Vc_buildDouble(-1, 0x7fe08959063eeull, 8)), // asinCoeff1
+ // cacheline 16
+ _2(Vc_buildDouble( 1, 0x56709b0b644beull, 8)), // asinCoeff1
+ _2(Vc_buildDouble( 1, 0x16b9b0bd48ad3ull, -8)), // asinCoeff2
+ _2(Vc_buildDouble(-1, 0x34341333e5c16ull, -1)), // asinCoeff2
+ _2(Vc_buildDouble( 1, 0x5c74b178a2dd9ull, 2)), // asinCoeff2
+ // cacheline 17
+ _2(Vc_buildDouble(-1, 0x04331de27907bull, 4)), // asinCoeff2
+ _2(Vc_buildDouble( 1, 0x39007da779259ull, 4)), // asinCoeff2
+ _2(Vc_buildDouble(-1, 0x0656c06ceafd5ull, 3)), // asinCoeff2
+ _2(Vc_buildDouble(-1, 0xd7b590b5e0eabull, 3)), // asinCoeff3
+ // cacheline 18
+ _2(Vc_buildDouble( 1, 0x19fc025fe9054ull, 6)), // asinCoeff3
+ _2(Vc_buildDouble(-1, 0x265bb6d3576d7ull, 7)), // asinCoeff3
+ _2(Vc_buildDouble( 1, 0x1705684ffbf9dull, 7)), // asinCoeff3
+ _2(Vc_buildDouble(-1, 0x898220a3607acull, 5)), // asinCoeff3
+ };
+#undef _2
+#define _4(x) x, x, x, x
+ template<> const float c_trig<float>::data[] = {
+ // cacheline
+ _4(Vc_buildFloat( 1, 0x490FDB, -1)), // π/4
+ _4(Vc_buildFloat( 1, 0x491000, -1)), // π/4 - 12 bits precision
+ _4(Vc_buildFloat(-1, 0x157000, -19)), // π/4 remainder1 - 12 bits precision
+ _4(Vc_buildFloat(-1, 0x6F4B9F, -32)), // π/4 remainder2
+ // cacheline
+ _4(0.0625f),
+ _4(16.f),
+ _4(0.f), // padding
+ _4(0.f), // padding
+ // cacheline
+ _4(4.166664568298827e-2f), // ~ 1/4!
+ _4(-1.388731625493765e-3f), // ~-1/6!
+ _4(2.443315711809948e-5f), // ~ 1/8!
+ _4(0.f), // padding (for alignment with double)
+ // cacheline
+ _4(0.f), // padding (for alignment with double)
+ _4(0.f), // padding (for alignment with double)
+ _4(-1.6666654611e-1f), // ~-1/3!
+ _4(8.3321608736e-3f), // ~ 1/5!
+ // cacheline
+ _4(-1.9515295891e-4f), // ~-1/7!
+ _4(0.f), // padding (for alignment with double)
+ _4(0.f), // padding (for alignment with double)
+ _4(0.f), // padding (for alignment with double)
+ // cacheline
+ _4(8192.f), // loss threshold
+ _4(Vc_buildFloat(1, 0x22F983, 0)), // 1.27323949337005615234375 = 4/π
+ _4(Vc_buildFloat(1, 0x490FDB, 0)), // π/2
+ _4(Vc_buildFloat(1, 0x490FDB, 1)), // π
+ // cacheline
+ _4(8.05374449538e-2f), // atan P coefficients
+ _4(1.38776856032e-1f), // atan P coefficients
+ _4(1.99777106478e-1f), // atan P coefficients
+ _4(3.33329491539e-1f), // atan P coefficients
+ // cacheline
+ _4(0.f), // padding (for alignment with double)
+ _4(0.f), // padding (for alignment with double)
+ _4(0.f), // padding (for alignment with double)
+ _4(0.f), // padding (for alignment with double)
+ // cacheline
+ _4(0.f), // padding (for alignment with double)
+ _4(0.f), // padding (for alignment with double)
+ _4(2.414213562373095f), // tan( 3/8 π )
+ _4(0.414213562373095f), // tan( 1/8 π ) lower threshold for special casing in atan
+ // cacheline
+ _4(Vc_buildFloat(-1, 0x3BBD2E, -25)), // remainder of pi/2
+ _4(1.e-4f), // small asin input threshold
+ _4(0.f), // padding (for alignment with double)
+ _4(0.f), // padding (for alignment with double)
+ // cacheline
+ _4(4.2163199048e-2f), // asinCoeff0
+ _4(2.4181311049e-2f), // asinCoeff0
+ _4(4.5470025998e-2f), // asinCoeff0
+ _4(7.4953002686e-2f), // asinCoeff0
+ // cacheline
+ _4(1.6666752422e-1f), // asinCoeff0
+ _4(0.f), // padding (for alignment with double)
+ _4(0.f), // padding (for alignment with double)
+ _4(0.f), // padding (for alignment with double)
+ // cacheline
+ _4(0.f), // padding (for alignment with double)
+ _4(0.f), // padding (for alignment with double)
+ _4(0.f), // padding (for alignment with double)
+ _4(0.f), // padding (for alignment with double)
+ // cacheline
+ _4(0.f), // padding (for alignment with double)
+ _4(0.f), // padding (for alignment with double)
+ _4(0.f), // padding (for alignment with double)
+ _4(0.f), // padding (for alignment with double)
+ // cacheline
+ _4(0.f), // padding (for alignment with double)
+ _4(0.f), // padding (for alignment with double)
+ _4(0.f), // padding (for alignment with double)
+ _4(0.f), // padding (for alignment with double)
+ };
+#undef _4
+
+ // cacheline 8
+ 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 };
+
+ V_ALIGN(64) const unsigned long long c_log<double>::data[21 * 2] = {
+ /* 0*/ 0x000003ff000003ffull, 0x000003ff000003ffull // bias TODO: remove
+ /* 1*/ , 0x7ff0000000000000ull, 0x7ff0000000000000ull // exponentMask (+inf)
+
+ /* 2*/ , 0x3f1ab4c293c31bb0ull, 0x3f1ab4c293c31bb0ull // P[0]
+ /* 3*/ , 0x3fdfd6f53f5652f2ull, 0x3fdfd6f53f5652f2ull // P[1]
+ /* 4*/ , 0x4012d2baed926911ull, 0x4012d2baed926911ull // P[2]
+ /* 5*/ , 0x402cff72c63eeb2eull, 0x402cff72c63eeb2eull // P[3]
+ /* 6*/ , 0x4031efd6924bc84dull, 0x4031efd6924bc84dull // P[4]
+ /* 7*/ , 0x401ed5637d7edcf8ull, 0x401ed5637d7edcf8ull // P[5]
+
+ /* 8*/ , 0x40269320ae97ef8eull, 0x40269320ae97ef8eull // Q[0]
+ /* 9*/ , 0x40469d2c4e19c033ull, 0x40469d2c4e19c033ull // Q[1]
+ /*10*/ , 0x4054bf33a326bdbdull, 0x4054bf33a326bdbdull // Q[2]
+ /*11*/ , 0x4051c9e2eb5eae21ull, 0x4051c9e2eb5eae21ull // Q[3]
+ /*12*/ , 0x4037200a9e1f25b2ull, 0x4037200a9e1f25b2ull // Q[4]
+
+ /*13*/ , 0xfff0000000000000ull, 0xfff0000000000000ull // -inf
+ /*14*/ , 0x0010000000000000ull, 0x0010000000000000ull // min()
+ /*15*/ , 0x3fe6a09e667f3bcdull, 0x3fe6a09e667f3bcdull // 1/sqrt(2)
+ /*16*/ , 0x3fe6300000000000ull, 0x3fe6300000000000ull // round(ln(2) * 512) / 512
+ /*17*/ , 0xbf2bd0105c610ca8ull, 0xbf2bd0105c610ca8ull // ln(2) - round(ln(2) * 512) / 512
+ /*18*/ , 0x3fe0000000000000ull, 0x3fe0000000000000ull // 0.5
+ /*19*/ , 0x3fdbcb7b1526e50eull, 0x3fdbcb7b1526e50eull // log10(e)
+ /*20*/ , 0x3ff71547652b82feull, 0x3ff71547652b82feull // log2(e)
+ };
+
+ template<> V_ALIGN(64) const unsigned int c_log<float>::data[21 * 4] = {
+ 0x0000007fu, 0x0000007fu, 0x0000007fu, 0x0000007fu, // bias TODO: remove
+ 0x7f800000u, 0x7f800000u, 0x7f800000u, 0x7f800000u, // exponentMask (+inf)
+
+ 0x3d9021bbu, 0x3d9021bbu, 0x3d9021bbu, 0x3d9021bbu, // 7.0376836292e-2f // P[0]
+ 0xbdebd1b8u, 0xbdebd1b8u, 0xbdebd1b8u, 0xbdebd1b8u, // -1.1514610310e-1f // P[1]
+ 0x3def251au, 0x3def251au, 0x3def251au, 0x3def251au, // 1.1676998740e-1f // P[2]
+ 0xbdfe5d4fu, 0xbdfe5d4fu, 0xbdfe5d4fu, 0xbdfe5d4fu, // -1.2420140846e-1f // P[3]
+ 0x3e11e9bfu, 0x3e11e9bfu, 0x3e11e9bfu, 0x3e11e9bfu, // 1.4249322787e-1f // P[4]
+ 0xbe2aae50u, 0xbe2aae50u, 0xbe2aae50u, 0xbe2aae50u, // -1.6668057665e-1f // P[5]
+ 0x3e4cceacu, 0x3e4cceacu, 0x3e4cceacu, 0x3e4cceacu, // 2.0000714765e-1f // P[6]
+ 0xbe7ffffcu, 0xbe7ffffcu, 0xbe7ffffcu, 0xbe7ffffcu, // -2.4999993993e-1f // P[7]
+ 0x3eaaaaaau, 0x3eaaaaaau, 0x3eaaaaaau, 0x3eaaaaaau, // 3.3333331174e-1f // P[8]
+ 0, 0, 0, 0, // padding because of c_log<double>
+ 0, 0, 0, 0, // padding because of c_log<double>
+
+ 0xff800000u, 0xff800000u, 0xff800000u, 0xff800000u, // -inf
+ 0x00800000u, 0x00800000u, 0x00800000u, 0x00800000u, // min()
+ 0x3f3504f3u, 0x3f3504f3u, 0x3f3504f3u, 0x3f3504f3u, // 1/sqrt(2)
+ // ln(2) = 0x3fe62e42fefa39ef
+ // ln(2) = Vc_buildDouble( 1, 0x00062e42fefa39ef, -1)
+ // = Vc_buildFloat( 1, 0x00317217(f7d), -1) + Vc_buildFloat( 1, 0x0077d1cd, -25)
+ // = Vc_buildFloat( 1, 0x00318000(000), -1) + Vc_buildFloat(-1, 0x005e8083, -13)
+ 0x3f318000u, 0x3f318000u, 0x3f318000u, 0x3f318000u, // round(ln(2) * 512) / 512
+ 0xb95e8083u, 0xb95e8083u, 0xb95e8083u, 0xb95e8083u, // ln(2) - round(ln(2) * 512) / 512
+ 0x3f000000u, 0x3f000000u, 0x3f000000u, 0x3f000000u, // 0.5
+ 0x3ede5bd9u, 0x3ede5bd9u, 0x3ede5bd9u, 0x3ede5bd9u, // log10(e)
+ 0x3fb8aa3bu, 0x3fb8aa3bu, 0x3fb8aa3bu, 0x3fb8aa3bu, // log2(e)
+ // log10(2) = 0x3fd34413509f79ff
+ // = Vc_buildDouble( 1, 0x00034413509f79ff, -2)
+ // = Vc_buildFloat( 1, 0x001a209a(84fbcff8), -2) + Vc_buildFloat( 1, 0x0004fbcff(8), -26)
+ //Vc_buildFloat( 1, 0x001a209a, -2), // log10(2)
+ //Vc_buildFloat( 1, 0x001a209a, -2), // log10(2)
+ //Vc_buildFloat( 1, 0x001a209a, -2), // log10(2)
+ //Vc_buildFloat( 1, 0x001a209a, -2), // log10(2)
+ };
+} // namespace SSE
+
+V_ALIGN(64) unsigned int RandomState[16] = {
+ 0x5a383a4fu, 0xc68bd45eu, 0x691d6d86u, 0xb367e14fu,
+ 0xd689dbaau, 0xfde442aau, 0x3d265423u, 0x1a77885cu,
+ 0x36ed2684u, 0xfb1f049du, 0x19e52f31u, 0x821e4dd7u,
+ 0x23996d25u, 0x5962725au, 0x6aced4ceu, 0xd4c610f3u
+};
+
+// dummy symbol to emit warnings with GCC 4.3
+namespace Warnings {
+ void _operator_bracket_warning() {}
+} // namespace Warnings
+
+const char LIBRARY_VERSION[] = VC_VERSION_STRING;
+const unsigned int LIBRARY_VERSION_NUMBER = VC_VERSION_NUMBER;
+const unsigned int LIBRARY_ABI_VERSION = VC_LIBRARY_ABI_VERSION;
+
+void checkLibraryAbi(unsigned int compileTimeAbi, unsigned int versionNumber, const char *compileTimeVersion) {
+ if (LIBRARY_ABI_VERSION != compileTimeAbi || LIBRARY_VERSION_NUMBER < versionNumber) {
+ printf("The versions of libVc.a (%s) and Vc/version.h (%s) are incompatible. Aborting.\n", LIBRARY_VERSION, compileTimeVersion);
+ abort();
+ }
+}
+
+} // namespace Vc
+} // namespace AliRoot
+
+#undef V_ALIGN
git://git.uio.no / u / mrichter / AliRoot.git / blobdiff