/* This file is part of the Vc library. Copyright (C) 2009-2012 Matthias Kretz 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 . */ #ifndef V_ALIGN # ifdef __GNUC__ # define V_ALIGN(n) __attribute__((aligned(n))) # else # define V_ALIGN(n) __declspec(align(n)) # endif #endif #include "common/const.h" #include "avx/const_data.h" #include "sse/const_data.h" #include #include #include #include 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 }; // cacheline 2 template<> const double c_sin::data[8] = { 0.15915494309189533576888376337251436, // 1 over 2pi 6.2831853071795864769252867665590058, // 2pi 1.5707963267948966192313216916397514, // pi over 2 3.1415926535897932384626433832795029, // pi 1.666666666666666574148081281236954964697360992431640625e-01, // 1 over 3! 8.33333333333333321768510160154619370587170124053955078125e-03, // 1 over 5! 1.984126984126984125263171154784913596813566982746124267578125e-04, // 1 over 7! 2.755731922398589251095059327045788677423843182623386383056640625e-06 // 1 over 9! }; // cacheline 3 template<> const float c_sin::data[8] = { 1.59154936671257019e-01f, // 1 over 2pi 6.28318548202514648f, // 2pi 1.57079637050628662f, // pi over 2 3.14159274101257324f, // pi 1.66666671633720398e-01f, // 1 over 3! 8.33333376795053482e-03f, // 1 over 5! 1.98412701138295233e-04f, // 1 over 7! 2.75573188446287531e-06f // 1 over 9! }; const unsigned int c_general::absMaskFloat[2] = { 0xffffffffu, 0x7fffffffu }; const unsigned int c_general::signMaskFloat[2] = { 0x0u, 0x80000000u }; 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 double c_general::oneDouble = 1.; const unsigned long long c_general::frexpMask = 0xbfefffffffffffffull; const unsigned long long c_log::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::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 , 0 // padding because of c_log , 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 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 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 }; template<> const float c_sin::data[4 * 8] = { // cacheline 4 // 1 over 2pi 1.59154936671257019e-01f, 1.59154936671257019e-01f, 1.59154936671257019e-01f, 1.59154936671257019e-01f, // 2pi 6.28318548202514648f, 6.28318548202514648f, 6.28318548202514648f, 6.28318548202514648f, // pi over 2 1.57079637050628662f, 1.57079637050628662f, 1.57079637050628662f, 1.57079637050628662f, // pi 3.14159274101257324f, 3.14159274101257324f, 3.14159274101257324f, 3.14159274101257324f, // cacheline 5 // 1 over 3! 1.66666671633720398e-01f, 1.66666671633720398e-01f, 1.66666671633720398e-01f, 1.66666671633720398e-01f, // 1 over 5! 8.33333376795053482e-03f, 8.33333376795053482e-03f, 8.33333376795053482e-03f, 8.33333376795053482e-03f, // 1 over 7! 1.98412701138295233e-04f, 1.98412701138295233e-04f, 1.98412701138295233e-04f, 1.98412701138295233e-04f, // 1 over 9! 2.75573188446287531e-06f, 2.75573188446287531e-06f, 2.75573188446287531e-06f, 2.75573188446287531e-06f }; template<> const double c_sin::data[2 * 8] = { // cacheline 6 // 1 over 2pi 0.15915494309189533576888376337251436, 0.15915494309189533576888376337251436, // 2pi 6.2831853071795864769252867665590058 , 6.2831853071795864769252867665590058 , // pi over 2 1.5707963267948966192313216916397514 , 1.5707963267948966192313216916397514 , // pi 3.1415926535897932384626433832795029 , 3.1415926535897932384626433832795029 , // cacheline 7 // 1 over 3! 1.666666666666666574148081281236954964697360992431640625e-01, 1.666666666666666574148081281236954964697360992431640625e-01, // 1 over 5! 8.33333333333333321768510160154619370587170124053955078125e-03, 8.33333333333333321768510160154619370587170124053955078125e-03, // 1 over 7! 1.984126984126984125263171154784913596813566982746124267578125e-04, 1.984126984126984125263171154784913596813566982746124267578125e-04, // 1 over 9! 2.755731922398589251095059327045788677423843182623386383056640625e-06, 2.755731922398589251095059327045788677423843182623386383056640625e-06 }; // 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::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::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 0, 0, 0, 0, // padding because of c_log 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 #undef V_ALIGN