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|
/*===================== begin_copyright_notice ==================================
Copyright (c) 2022 Intel Corporation
Permission is hereby granted, free of charge, to any person obtaining a
copy of this software and associated documentation files (the
"Software"), to deal in the Software without restriction, including
without limitation the rights to use, copy, modify, merge, publish,
distribute, sublicense, and/or sell copies of the Software, and to
permit persons to whom the Software is furnished to do so, subject to
the following conditions:
The above copyright notice and this permission notice shall be included
in all copies or substantial portions of the Software.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.
IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY
CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT,
TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE
SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
======================= end_copyright_notice ==================================*/
#include "../imf.h"
#pragma OPENCL FP_CONTRACT OFF
typedef struct
{
unsigned long _dSIGN_MASK;
unsigned long _dABS_MASK;
unsigned long _dONE;
unsigned long _dPIO2;
unsigned long _dRangeVal;
unsigned long _dPC19;
unsigned long _dPC18;
unsigned long _dPC17;
unsigned long _dPC16;
unsigned long _dPC15;
unsigned long _dPC14;
unsigned long _dPC13;
unsigned long _dPC12;
unsigned long _dPC11;
unsigned long _dPC10;
unsigned long _dPC9;
unsigned long _dPC8;
unsigned long _dPC7;
unsigned long _dPC6;
unsigned long _dPC5;
unsigned long _dPC4;
unsigned long _dPC3;
unsigned long _dPC2;
unsigned long _dPC1;
unsigned long _dPC0;
} __ocl_svml_internal_datan_data_t;
static __ocl_svml_internal_datan_data_t __ocl_svml_internal_datan_data = {
0x8000000000000000uL, //dSIGN_MASK
0x7FFFFFFFFFFFFFFFuL, //dABS_MASK
0x3FF0000000000000uL, //dONE
0x3FF921FB54442D18uL, //dPIO2
0x7FF0000000000000uL, //dRangeVal
0xBEF4FDB537ABC7A3uL, // dA19
0x3F2CED0A36665209uL, // dA18
0xBF52E67C93954C23uL, // dA17
0x3F6F5A1DAE82AFB3uL, // dA16
0xBF82B2EC618E4BADuL, // dA15
0x3F914F4C661116A5uL, // dA14
0xBF9A5E83B081F69CuL, // dA13
0x3FA169980CB6AD4FuL, // dA12
0xBFA4EFA2E563C1BCuL, // dA11
0x3FA7EC0FBC50683BuL, // dA10
0xBFAAD261EAA09954uL, // dA09
0x3FAE1749BD612DCFuL, // dA08
0xBFB11084009435E0uL, // dA07
0x3FB3B12A49295651uL, // dA06
0xBFB745D009BADA94uL, // dA05
0x3FBC71C707F7D5B5uL, // dA04
0xBFC2492491EE55C7uL, // dA03
0x3FC999999997EE34uL, // dA02
0xBFD55555555553C5uL, // dA01
0x3FF0000000000000uL, // dA00
}; /*dAtan_Table */
static __constant _iml_dp_union_t __datan_la_nolut_CoutTab[242] = {
0xE8000000, 0x3FC3D6EE, /* atan(B[ 0])hi = +1.549967415631e-01 */
0x8B0D1D86, 0x3DF8CC4D, /* atan(B[ 0])lo = +3.608592409707e-10 */
0x50000000, 0x3FCB90D7, /* atan(B[ 1])hi = +2.153576985002e-01 */
0x1022F622, 0x3E149305, /* atan(B[ 1])lo = +1.197581645437e-09 */
0x38000000, 0x3FD36277, /* atan(B[ 2])hi = +3.028848692775e-01 */
0x8658E951, 0xBE0F0286, /* atan(B[ 2])lo = -9.025058588437e-10 */
0xC0000000, 0x3FDA64EE, /* atan(B[ 3])hi = +4.124104380608e-01 */
0xE5B6427D, 0x3E2E611F, /* atan(B[ 3])lo = +3.536626808853e-09 */
0xA8000000, 0x3FE1E00B, /* atan(B[ 4])hi = +5.585993081331e-01 */
0x9F9B5C83, 0x3E3EF7F5, /* atan(B[ 4])lo = +7.210437130796e-09 */
0xC8000000, 0x3FE700A7, /* atan(B[ 5])hi = +7.188300043344e-01 */
0x618C34D2, 0xBE343DCE, /* atan(B[ 5])lo = -4.712825262649e-09 */
0x58000000, 0x3FECAC7C, /* atan(B[ 6])hi = +8.960553854704e-01 */
0x6F251EC5, 0xBE0EE418, /* atan(B[ 6])lo = -8.990463636494e-10 */
0x30000000, 0x3FF0D38F, /* atan(B[ 7])hi = +1.051650226116e+00 */
0x0B7A1B84, 0xBE4D22FB, /* atan(B[ 7])lo = -1.356780675246e-08 */
0x78000000, 0x3FF30B6D, /* atan(B[ 8])hi = +1.190289944410e+00 */
0x8589532C, 0x3E36A4DA, /* atan(B[ 8])lo = +5.272207636248e-09 */
0x00000000, 0x3FF4AE11, /* atan(B[ 9])hi = +1.292496681213e+00 */
0xDA7607D1, 0xBE4CD3B2, /* atan(B[ 9])lo = -1.342359363835e-08 */
0x18000000, 0x3FF5F973, /* atan(B[ 10])hi = +1.373400777578e+00 */
0x4931151A, 0xBE46D5BD, /* atan(B[ 10])lo = -1.063333802097e-08 */
0x78000000, 0x3FF6DCC5, /* atan(B[ 11])hi = +1.428899258375e+00 */
0xE5AC6F37, 0x3E4DAB2F, /* atan(B[ 11])lo = +1.381556484974e-08 */
0x30000000, 0x3FF789BD, /* atan(B[ 12])hi = +1.471127688885e+00 */
0x63E8AA08, 0xBE4F4FFD, /* atan(B[ 12])lo = -1.458100051557e-08 */
0x08000000, 0x3FF7FDE8, /* atan(B[ 13])hi = +1.499488860369e+00 */
0xFFBFDCA2, 0x3E1C30A7, /* atan(B[ 13])lo = +1.640877655104e-09 */
0x28000000, 0x3FF8555A, /* atan(B[ 14])hi = +1.520837932825e+00 */
0x3B43DC6C, 0xBE1E19F8, /* atan(B[ 14])lo = -1.752134643155e-09 */
0x18000000, 0x3FF88FC2, /* atan(B[ 15])hi = +1.535097211599e+00 */
0x6FF107D4, 0x3E259D3B, /* atan(B[ 15])lo = +2.516222674259e-09 */
0x60000000, 0x3FF8BB9A, /* atan(B[ 16])hi = +1.545801520348e+00 */
0x27F43144, 0x3E4B8C7A, /* atan(B[ 16])lo = +1.282838124489e-08 */
0xC0000000, 0x3FF8D8D8, /* atan(B[ 17])hi = +1.552941083908e+00 */
0x2931C287, 0xBE2359D2, /* atan(B[ 17])lo = -2.252736949720e-09 */
0xD0000000, 0x3FF8EEC8, /* atan(B[ 18])hi = +1.558296978474e+00 */
0x607FD6F0, 0xBE07FCCD, /* atan(B[ 18])lo = -6.981283892985e-10 */
0x48000000, 0x3FF8FD69, /* atan(B[ 19])hi = +1.561867982149e+00 */
0x8310236B, 0x3E4679B5, /* atan(B[ 19])lo = +1.046593575868e-08 */
0xD0000000, 0x3FF90861, /* atan(B[ 20])hi = +1.564546406269e+00 */
0x9CFF61AF, 0x3E205B36, /* atan(B[ 20])lo = +1.904124170821e-09 */
0x38000000, 0x3FF90FB2, /* atan(B[ 21])hi = +1.566332072020e+00 */
0x3F24AB6A, 0xBE160576, /* atan(B[ 21])lo = -1.281810432599e-09 */
0x88000000, 0x3FF9152E, /* atan(B[ 22])hi = +1.567671328783e+00 */
0xBC43465D, 0x3E419361, /* atan(B[ 22])lo = +8.184327778349e-09 */
0xC0000000, 0x3FF918D6, /* atan(B[ 23])hi = +1.568564176559e+00 */
0x1114E411, 0x3E47CE4F, /* atan(B[ 23])lo = +1.108548322808e-08 */
0xF0000000, 0x3FF91B94, /* atan(B[ 24])hi = +1.569233834743e+00 */
0x773951DF, 0xBE3CAD7B, /* atan(B[ 24])lo = -6.677039244062e-09 */
0x08000000, 0x3FF91D69, /* atan(B[ 25])hi = +1.569680243731e+00 */
0xFAA44CE6, 0x3E49FB97, /* atan(B[ 25])lo = +1.209917839922e-08 */
0x20000000, 0x3FF91EC8, /* atan(B[ 26])hi = +1.570015072823e+00 */
0x8B23FFA5, 0x3E31BE61, /* atan(B[ 26])lo = +4.131271479643e-09 */
0x30000000, 0x3FF91FB2, /* atan(B[ 27])hi = +1.570238292217e+00 */
0x87FC4A01, 0xBE128841, /* atan(B[ 27])lo = -1.078718919694e-09 */
0xB8000000, 0x3FF92061, /* atan(B[ 28])hi = +1.570405691862e+00 */
0x29392773, 0x3E455F88, /* atan(B[ 28])lo = +9.952658509095e-09 */
0xC0000000, 0x3FF920D6, /* atan(B[ 29])hi = +1.570517301559e+00 */
0x6C4176AE, 0x3E3FB87E, /* atan(B[ 29])lo = +7.385546122670e-09 */
0x88000000, 0x3FF9212E, /* atan(B[ 30])hi = +1.570601016283e+00 */
0x76D7A426, 0xBE210E80, /* atan(B[ 30])lo = -1.985655132280e-09 */
0x08000000, 0x3FF92169, /* atan(B[ 31])hi = +1.570656806231e+00 */
0xD9D720C0, 0x3E48FD55, /* atan(B[ 31])lo = +1.163668522209e-08 */
0xF0000000, 0x3FF92194, /* atan(B[ 32])hi = +1.570698678493e+00 */
0xC02EEAC5, 0xBE41119E, /* atan(B[ 32])lo = -7.948292695772e-09 */
0x30000000, 0x3FF921B2, /* atan(B[ 33])hi = +1.570726573467e+00 */
0xB22521F8, 0xBE138683, /* atan(B[ 33])lo = -1.136530599303e-09 */
0x20000000, 0x3FF921C8, /* atan(B[ 34])hi = +1.570747494698e+00 */
0x3D6A380D, 0x3E310FA9, /* atan(B[ 34])lo = +3.972364623557e-09 */
0xC0000000, 0x3FF921D6, /* atan(B[ 35])hi = +1.570761442184e+00 */
0x5ADD7895, 0x3E3FB08C, /* atan(B[ 35])lo = +7.378319661704e-09 */
0xB8000000, 0x3FF921E1, /* atan(B[ 36])hi = +1.570771902800e+00 */
0xA42B3618, 0x3E45549C, /* atan(B[ 36])lo = +9.932795146628e-09 */
0x08000000, 0x3FF921E9, /* atan(B[ 37])hi = +1.570778876543e+00 */
0xB8C09601, 0x3E48FCD6, /* atan(B[ 37])lo = +1.163578191444e-08 */
0x88000000, 0x3FF921EE, /* atan(B[ 38])hi = +1.570784121752e+00 */
0x3964E770, 0xBE2113F6, /* atan(B[ 38])lo = -1.988138052759e-09 */
0x30000000, 0x3FF921F2, /* atan(B[ 39])hi = +1.570787608624e+00 */
0xD33BBF6E, 0xBE138702, /* atan(B[ 39])lo = -1.136643512761e-09 */
0xF0000000, 0x3FF921F4, /* atan(B[ 40])hi = +1.570790231228e+00 */
0x6E436174, 0xBE4111CA, /* atan(B[ 40])lo = -7.948603060837e-09 */
0xC0000000, 0x3FF921F6, /* atan(B[ 41])hi = +1.570791959763e+00 */
0x61D4C384, 0x3E3FB088, /* atan(B[ 41])lo = +7.378305547522e-09 */
0x20000000, 0x3FF921F8, /* atan(B[ 42])hi = +1.570793271065e+00 */
0x51E51998, 0x3E310F9E, /* atan(B[ 42])lo = +3.972325827924e-09 */
0x08000000, 0x3FF921F9, /* atan(B[ 43])hi = +1.570794135332e+00 */
0x79300AAF, 0x3E48FCD6, /* atan(B[ 43])lo = +1.163578015017e-08 */
0xB8000000, 0x3FF921F9, /* atan(B[ 44])hi = +1.570794790983e+00 */
0xF572E42D, 0x3E45549B, /* atan(B[ 44])lo = +9.932790297173e-09 */
0x30000000, 0x3FF921FA, /* atan(B[ 45])hi = +1.570795238018e+00 */
0x12CC4AC0, 0xBE138703, /* atan(B[ 45])lo = -1.136643733295e-09 */
0x88000000, 0x3FF921FA, /* atan(B[ 46])hi = +1.570795565844e+00 */
0x90C11066, 0xBE2113F6, /* atan(B[ 46])lo = -1.988138658941e-09 */
0xC0000000, 0x3FF921FA, /* atan(B[ 47])hi = +1.570795774460e+00 */
0x5FD83F2A, 0x3E3FB088, /* atan(B[ 47])lo = +7.378305519955e-09 */
0xF0000000, 0x3FF921FA, /* atan(B[ 48])hi = +1.570795953274e+00 */
0x70FE42BC, 0xBE4111CA, /* atan(B[ 48])lo = -7.948603136610e-09 */
0x08000000, 0x3FF921FB, /* atan(B[ 49])hi = +1.570796042681e+00 */
0x79104269, 0x3E48FCD6, /* atan(B[ 49])lo = +1.163578014672e-08 */
0x20000000, 0x3FF921FB, /* atan(B[ 50])hi = +1.570796132088e+00 */
0x51366146, 0x3E310F9E, /* atan(B[ 50])lo = +3.972325818452e-09 */
0x30000000, 0x3FF921FB, /* atan(B[ 51])hi = +1.570796191692e+00 */
0x12EC1305, 0xBE138703, /* atan(B[ 51])lo = -1.136643733725e-09 */
0x38000000, 0x3FF921FB, /* atan(B[ 52])hi = +1.570796221495e+00 */
0xF567F8A8, 0x3E45549B, /* atan(B[ 52])lo = +9.932790295989e-09 */
0x40000000, 0x3FF921FB, /* atan(B[ 53])hi = +1.570796251297e+00 */
0x5FD740E8, 0x3E3FB088, /* atan(B[ 53])lo = +7.378305519901e-09 */
0x48000000, 0x3FF921FB, /* atan(B[ 54])hi = +1.570796281099e+00 */
0x90C68629, 0xBE2113F6, /* atan(B[ 54])lo = -1.988138659089e-09 */
0x48000000, 0x3FF921FB, /* atan(B[ 55])hi = +1.570796281099e+00 */
0x79103285, 0x3E48FCD6, /* atan(B[ 55])lo = +1.163578014671e-08 */
0x50000000, 0x3FF921FB, /* atan(B[ 56])hi = +1.570796310902e+00 */
0x70FE6E6A, 0xBE4111CA, /* atan(B[ 56])lo = -7.948603136628e-09 */
0x50000000, 0x3FF921FB, /* atan(B[ 57])hi = +1.570796310902e+00 */
0x12EC22EA, 0xBE138703, /* atan(B[ 57])lo = -1.136643733726e-09 */
0x50000000, 0x3FF921FB, /* atan(B[ 58])hi = +1.570796310902e+00 */
0x5136565A, 0x3E310F9E, /* atan(B[ 58])lo = +3.972325818450e-09 */
0x50000000, 0x3FF921FB, /* atan(B[ 59])hi = +1.570796310902e+00 */
0x5FD74068, 0x3E3FB088, /* atan(B[ 59])lo = +7.378305519901e-09 */
0x50000000, 0x3FF921FB, /* atan(B[ 60])hi = +1.570796310902e+00 */
0xF567F7FA, 0x3E45549B, /* atan(B[ 60])lo = +9.932790295989e-09 */
0x50000000, 0x3FF921FB, /* atan(B[ 61])hi = +1.570796310902e+00 */
0x7910327D, 0x3E48FCD6, /* atan(B[ 61])lo = +1.163578014671e-08 */
0x50000000, 0x3FF921FB, /* atan(B[ 62])hi = +1.570796310902e+00 */
0x5BCE5E60, 0x3E4BBB02, /* atan(B[ 62])lo = +1.291302253476e-08 */
0x50000000, 0x3FF921FB, /* atan(B[ 63])hi = +1.570796310902e+00 */
0x9DA27BA2, 0x3E4D8F1F, /* atan(B[ 63])lo = +1.376451746012e-08 */
0x50000000, 0x3FF921FB, /* atan(B[ 64])hi = +1.570796310902e+00 */
0x8F019193, 0x3E4EEE35, /* atan(B[ 64])lo = +1.440313865414e-08 */
0x50000000, 0x3FF921FB, /* atan(B[ 65])hi = +1.570796310902e+00 */
0x2FEBA034, 0x3E4FD844, /* atan(B[ 65])lo = +1.482888611682e-08 */
0x58000000, 0x3FF921FB, /* atan(B[ 66])hi = +1.570796340704e+00 */
0xD764D4D3, 0xBE4F7830, /* atan(B[ 66])lo = -1.465412567386e-08 */
0x58000000, 0x3FF921FB, /* atan(B[ 67])hi = +1.570796340704e+00 */
0x86EFCD83, 0xBE4F0329, /* atan(B[ 67])lo = -1.444125194252e-08 */
0x58000000, 0x3FF921FB, /* atan(B[ 68])hi = +1.570796340704e+00 */
0x0A980806, 0xBE4EAB64, /* atan(B[ 68])lo = -1.428159664401e-08 */
0x58000000, 0x3FF921FB, /* atan(B[ 69])hi = +1.570796340704e+00 */
0x625D845E, 0xBE4E70E0, /* atan(B[ 69])lo = -1.417515977834e-08 */
0x58000000, 0x3FF921FB, /* atan(B[ 70])hi = +1.570796340704e+00 */
0xA431A1A0, 0xBE4E44FD, /* atan(B[ 70])lo = -1.409533212909e-08 */
0x58000000, 0x3FF921FB, /* atan(B[ 71])hi = +1.570796340704e+00 */
0xD0145FCC, 0xBE4E27BB, /* atan(B[ 71])lo = -1.404211369626e-08 */
0x58000000, 0x3FF921FB, /* atan(B[ 72])hi = +1.570796340704e+00 */
0x70FE6E6D, 0xBE4E11CA, /* atan(B[ 72])lo = -1.400219987163e-08 */
0x58000000, 0x3FF921FB, /* atan(B[ 73])hi = +1.570796340704e+00 */
0x86EFCD83, 0xBE4E0329, /* atan(B[ 73])lo = -1.397559065521e-08 */
0x58000000, 0x3FF921FB, /* atan(B[ 74])hi = +1.570796340704e+00 */
0xD764D4D3, 0xBE4DF830, /* atan(B[ 74])lo = -1.395563374290e-08 */
0x58000000, 0x3FF921FB, /* atan(B[ 75])hi = +1.570796340704e+00 */
0x625D845E, 0xBE4DF0E0, /* atan(B[ 75])lo = -1.394232913469e-08 */
0x58000000, 0x3FF921FB, /* atan(B[ 76])hi = +1.570796340704e+00 */
0x0A980806, 0xBE4DEB64, /* atan(B[ 76])lo = -1.393235067853e-08 */
0x58000000, 0x3FF921FB, /* atan(B[ 77])hi = +1.570796340704e+00 */
0xD0145FCC, 0xBE4DE7BB, /* atan(B[ 77])lo = -1.392569837443e-08 */
0x58000000, 0x3FF921FB, /* atan(B[ 78])hi = +1.570796340704e+00 */
0xA431A1A0, 0xBE4DE4FD, /* atan(B[ 78])lo = -1.392070914635e-08 */
0x58000000, 0x3FF921FB, /* atan(B[ 79])hi = +1.570796340704e+00 */
0x86EFCD83, 0xBE4DE329, /* atan(B[ 79])lo = -1.391738299430e-08 */
0x58000000, 0x3FF921FB, /* atan(B[ 80])hi = +1.570796340704e+00 */
0x70FE6E6D, 0xBE4DE1CA, /* atan(B[ 80])lo = -1.391488838026e-08 */
0x58000000, 0x3FF921FB, /* atan(B[ 81])hi = +1.570796340704e+00 */
0x625D845E, 0xBE4DE0E0, /* atan(B[ 81])lo = -1.391322530423e-08 */
0x58000000, 0x3FF921FB, /* atan(B[ 82])hi = +1.570796340704e+00 */
0xD764D4D3, 0xBE4DE030, /* atan(B[ 82])lo = -1.391197799721e-08 */
0x58000000, 0x3FF921FB, /* atan(B[ 83])hi = +1.570796340704e+00 */
0xD0145FCC, 0xBE4DDFBB, /* atan(B[ 83])lo = -1.391114645920e-08 */
0x58000000, 0x3FF921FB, /* atan(B[ 84])hi = +1.570796340704e+00 */
0x0A980806, 0xBE4DDF64, /* atan(B[ 84])lo = -1.391052280569e-08 */
0x58000000, 0x3FF921FB, /* atan(B[ 85])hi = +1.570796340704e+00 */
0x86EFCD83, 0xBE4DDF29, /* atan(B[ 85])lo = -1.391010703668e-08 */
0x58000000, 0x3FF921FB, /* atan(B[ 86])hi = +1.570796340704e+00 */
0xA431A1A0, 0xBE4DDEFD, /* atan(B[ 86])lo = -1.390979520993e-08 */
0x58000000, 0x3FF921FB, /* atan(B[ 87])hi = +1.570796340704e+00 */
0x625D845E, 0xBE4DDEE0, /* atan(B[ 87])lo = -1.390958732543e-08 */
0x58000000, 0x3FF921FB, /* atan(B[ 88])hi = +1.570796340704e+00 */
0x70FE6E6D, 0xBE4DDECA, /* atan(B[ 88])lo = -1.390943141205e-08 */
0x58000000, 0x3FF921FB, /* atan(B[ 89])hi = +1.570796340704e+00 */
0xD0145FCC, 0xBE4DDEBB, /* atan(B[ 89])lo = -1.390932746980e-08 */
0x58000000, 0x3FF921FB, /* atan(B[ 90])hi = +1.570796340704e+00 */
0xD764D4D3, 0xBE4DDEB0, /* atan(B[ 90])lo = -1.390924951311e-08 */
0x58000000, 0x3FF921FB, /* atan(B[ 91])hi = +1.570796340704e+00 */
0x86EFCD83, 0xBE4DDEA9, /* atan(B[ 91])lo = -1.390919754198e-08 */
0x58000000, 0x3FF921FB, /* atan(B[ 92])hi = +1.570796340704e+00 */
0x0A980806, 0xBE4DDEA4, /* atan(B[ 92])lo = -1.390915856364e-08 */
0x58000000, 0x3FF921FB, /* atan(B[ 93])hi = +1.570796340704e+00 */
0x625D845E, 0xBE4DDEA0, /* atan(B[ 93])lo = -1.390913257807e-08 */
0x58000000, 0x3FF921FB, /* atan(B[ 94])hi = +1.570796340704e+00 */
0xA431A1A0, 0xBE4DDE9D, /* atan(B[ 94])lo = -1.390911308890e-08 */
0x58000000, 0x3FF921FB, /* atan(B[ 95])hi = +1.570796340704e+00 */
0xD0145FCC, 0xBE4DDE9B, /* atan(B[ 95])lo = -1.390910009612e-08 */
0x58000000, 0x3FF921FB, /* atan(B[ 96])hi = +1.570796340704e+00 */
0x70FE6E6D, 0xBE4DDE9A, /* atan(B[ 96])lo = -1.390909035153e-08 */
0x58000000, 0x3FF921FB, /* atan(B[ 97])hi = +1.570796340704e+00 */
0x86EFCD83, 0xBE4DDE99, /* atan(B[ 97])lo = -1.390908385514e-08 */
0x58000000, 0x3FF921FB, /* atan(B[ 98])hi = +1.570796340704e+00 */
0xD764D4D3, 0xBE4DDE98, /* atan(B[ 98])lo = -1.390907898285e-08 */
0x58000000, 0x3FF921FB, /* atan(B[ 99])hi = +1.570796340704e+00 */
0x625D845E, 0xBE4DDE98, /* atan(B[ 99])lo = -1.390907573466e-08 */
0x58000000, 0x3FF921FB, /* atan(B[100])hi = +1.570796340704e+00 */
0x0A980806, 0xBE4DDE98, /* atan(B[100])lo = -1.390907329851e-08 */
0x58000000, 0x3FF921FB, /* atan(B[101])hi = +1.570796340704e+00 */
0xD0145FCC, 0xBE4DDE97, /* atan(B[101])lo = -1.390907167441e-08 */
0x58000000, 0x3FF921FB, /* atan(B[102])hi = +1.570796340704e+00 */
0xA431A1A0, 0xBE4DDE97, /* atan(B[102])lo = -1.390907045634e-08 */
0x58000000, 0x3FF921FB, /* atan(B[103])hi = +1.570796340704e+00 */
0x86EFCD83, 0xBE4DDE97, /* atan(B[103])lo = -1.390906964429e-08 */
0x58000000, 0x3FF921FB, /* atan(B[104])hi = +1.570796340704e+00 */
0x70FE6E6D, 0xBE4DDE97, /* atan(B[104])lo = -1.390906903525e-08 */
0x58000000, 0x3FF921FB, /* atan(B[105])hi = +1.570796340704e+00 */
0x625D845E, 0xBE4DDE97, /* atan(B[105])lo = -1.390906862923e-08 */
0x58000000, 0x3FF921FB, /* atan(B[106])hi = +1.570796340704e+00 */
0x5764D4D3, 0xBE4DDE97, /* atan(B[106])lo = -1.390906832471e-08 */
0x58000000, 0x3FF921FB, /* atan(B[107])hi = +1.570796340704e+00 */
0x50145FCC, 0xBE4DDE97, /* atan(B[107])lo = -1.390906812170e-08 */
0x58000000, 0x3FF921FB, /* atan(B[108])hi = +1.570796340704e+00 */
0x4A980806, 0xBE4DDE97, /* atan(B[108])lo = -1.390906796944e-08 */
0x58000000, 0x3FF921FB, /* atan(B[109])hi = +1.570796340704e+00 */
0x46EFCD83, 0xBE4DDE97, /* atan(B[109])lo = -1.390906786793e-08 */
0x58000000, 0x3FF921FB, /* atan(B[110])hi = +1.570796340704e+00 */
0x4431A1A0, 0xBE4DDE97, /* atan(B[110])lo = -1.390906779180e-08 */
0x58000000, 0x3FF921FB, /* atan(B[111])hi = +1.570796340704e+00 */
0x425D845E, 0xBE4DDE97, /* atan(B[111])lo = -1.390906774105e-08 */
0x58000000, 0x3FF921FB, /* atan(B[112])hi = +1.570796340704e+00 */
0x40FE6E6D, 0xBE4DDE97, /* atan(B[112])lo = -1.390906770298e-08 */
0x58000000, 0x3FF921FB, /* atan(B[113])hi = +1.570796340704e+00 */
0x40145FCC, 0xBE4DDE97, /* atan(B[113])lo = -1.390906767761e-08 */
/* Coefficients of AtanPoly */
0x55555555, 0xBFD55555, /* A00 = -3.3333333333333330e-01 */
0x999991BB, 0x3FC99999, /* A01 = +1.9999999999994408e-01 */
0x92382A27, 0xBFC24924, /* A02 = -1.4285714282625968e-01 */
0xF9B157D3, 0x3FBC71C6, /* A03 = +1.1111110301985087e-01 */
0x69CCA475, 0xBFB745BE, /* A04 = -9.0907955961158590e-02 */
0x1048AFD1, 0x3FB3AB7C, /* A05 = +7.6835397697038190e-02 */
0x34239994, 0xBFB029BD, /* A06 = -6.3136887768996455e-02 */
/* Other constants */
0x00000000, 0x3CA00000, /* BOUND0 = 2^(-53) */
0x00000000, 0x3FC00000, /* BOUND1 = 2^(-3) */
0x00000000, 0x43500000, /* BOUND2 = 2^(54) */
0x00000000, 0x3FF00000, /* ONE = 1.0 */
0x54442D18, 0x3FF921FB, /* PIO2HI = high part of Pi/2 */
0x33145C07, 0x3C91A626, /* PIO2LO = low part of Pi/2 */
/* Constant used to obtain high bits */
0x02000000, 0x41A00000, /* T27 = 2^27+1 */
};
inline int __ocl_svml_internal_datan_noLUT (double *a, double *r)
{
int nRet = 0;
double dbX, dbB, dbU, dbTmp1, dbTmp2, dbUHi, dbuLo, dbXHi, dbXLo, dbXB1Hi, dbXB1Lo,
dbXBHi, dbXBLo, dbV1Hi, dbV2Lo, dbV1Lo, dbVHi, dbV3Lo, dbVLo, dbQHi,
dbQLo, dbT1Hi, dbT1Lo, dbTHi, dbTLo, dbS, dbAtanPoly, dbAHi, dbALo, dbResHi, dbResLo, dbRes;
double dbVTmp1, dbVTmp2, dbVTmp3;
int i, iSign, iJ;
/* Filter out INFs and NaNs */
if ((((((_iml_dp_union_t *) & (*a))->dwords.hi_dword >> 20) & 0x7FF) != 0x7FF))
{
/* Here if argument is finite double precision number */
/* Get sign of argument */
iSign = (((_iml_dp_union_t *) & (*a))->dwords.hi_dword >> 31);
/* x = |(*a)| */
dbX = (*a);
(((_iml_dp_union_t *) & dbX)->dwords.hi_dword = (((_iml_dp_union_t *) & dbX)->dwords.hi_dword & 0x7FFFFFFF) | ((_iml_uint32_t) (0) << 31));
if (dbX >= ((__constant double *) __datan_la_nolut_CoutTab)[236])
{
/* Here if BOUND1 <= x < Inf */
if (dbX < ((__constant double *) __datan_la_nolut_CoutTab)[237])
{
/* 5) "Main" path: Here if BOUND1 <= x < BOUND2 */
/* 5.a) atan() argument reduction */
/* 5.a.1) Getting index j */
iJ = ((((_iml_dp_union_t *) & (*a))->dwords.hi_dword >> 20) & 0x7FF) << 20;
iJ = iJ | (((_iml_dp_union_t *) & (*a))->dwords.hi_dword & 0x000FFFFF);
iJ = iJ - 0x3FC00000;
iJ = iJ >> 19;
/* 5.a.2) Getting base point b */
dbB = dbX;
(((_iml_dp_union_t *) & dbB)->dwords.lo_dword = (0));
(((_iml_dp_union_t *) & dbB)->dwords.hi_dword =
(((_iml_dp_union_t *) & dbB)->dwords.
hi_dword & 0xFFF00000) | ((((((_iml_dp_union_t *) & dbB)->dwords.hi_dword & 0x000FFFFF) & 0x80000) | 0x40000) & 0x000FFFFF));
/* 5.a.3) Getting t in multiprecision */
/* 5.a.3.1) Obtain u = x - b as sum UHi+uLo */
dbU = dbX - dbB;
dbVTmp1 = ((dbU) * (((__constant double *) __datan_la_nolut_CoutTab)[241]));
dbVTmp2 = (dbVTmp1 - (dbU));
dbVTmp1 = (dbVTmp1 - dbVTmp2);
dbVTmp2 = ((dbU) - dbVTmp1);
dbUHi = dbVTmp1;
dbuLo = dbVTmp2;
/* 5.a.3.2) Obtain v = 1 + x*b as sum VHi+VLo */
/* Obtain x*b as sum XB1Hi+XB1Lo */
dbVTmp1 = ((dbX) * (((__constant double *) __datan_la_nolut_CoutTab)[241]));
dbVTmp2 = (dbVTmp1 - (dbX));
dbVTmp1 = (dbVTmp1 - dbVTmp2);
dbVTmp2 = ((dbX) - dbVTmp1);
dbXHi = dbVTmp1;
dbXLo = dbVTmp2;
dbXB1Hi = dbXHi * dbB;
dbXB1Lo = dbXLo * dbB;
/* Rebreak XB1Hi+XB1Lo into XBHi+XBLo */
dbVTmp1 = ((dbXB1Hi) + (dbXB1Lo));
dbTmp1 = ((dbXB1Hi) - dbVTmp1);
dbVTmp2 = (dbTmp1 + (dbXB1Lo));
dbXBHi = dbVTmp1;
dbXBLo = dbVTmp2;
/* Obtain v as sum V1Hi+V1Lo */
dbVTmp1 = ((((__constant double *) __datan_la_nolut_CoutTab)[238]) + (dbXBHi));
dbVTmp2 = ((((__constant double *) __datan_la_nolut_CoutTab)[238]) - dbVTmp1);
dbVTmp3 = (dbVTmp1 + dbVTmp2);
dbVTmp2 = ((dbXBHi) + dbVTmp2);
dbVTmp3 = ((((__constant double *) __datan_la_nolut_CoutTab)[238]) - dbVTmp3);
dbVTmp3 = (dbVTmp2 + dbVTmp3);
dbV1Hi = dbVTmp1;
dbV2Lo = dbVTmp3;
dbV1Lo = dbV2Lo + dbXBLo;
/* Rebreak V1Hi+V1Lo into VHi+VLo */
dbVTmp1 = ((dbV1Hi) * (((__constant double *) __datan_la_nolut_CoutTab)[241]));
dbVTmp2 = (dbVTmp1 - (dbV1Hi));
dbVTmp1 = (dbVTmp1 - dbVTmp2);
dbVTmp2 = ((dbV1Hi) - dbVTmp1);
dbVHi = dbVTmp1;
dbV3Lo = dbVTmp2;
dbVLo = dbV3Lo + dbV1Lo;
/* 5.a.3.3) Obtain q = 1 / v as sum QHi+QLo */
dbTmp1 = (((__constant double *) __datan_la_nolut_CoutTab)[238] / dbVHi);
dbVTmp2 = (dbTmp1 * ((__constant double *) __datan_la_nolut_CoutTab)[241]);
dbVTmp3 = (dbVTmp2 - dbTmp1);
dbVTmp3 = (dbVTmp2 - dbVTmp3);
dbTmp1 = (dbVHi * dbVTmp3);
dbTmp1 = (((__constant double *) __datan_la_nolut_CoutTab)[238] - dbTmp1);
dbVTmp2 = (dbVLo * dbVTmp3);
dbVTmp2 = (dbTmp1 - dbVTmp2);
dbTmp1 = (((__constant double *) __datan_la_nolut_CoutTab)[238] + dbVTmp2);
dbQHi = dbVTmp3;
dbTmp1 = (dbTmp1 * dbVTmp2);
dbQLo = (dbTmp1 * dbVTmp3);
/* 5.a.3.4) Obtain t = u * q as sum THi+TLo */
/* Represent t as sum T1Hi+T1Lo */
dbTmp1 = ((dbQHi) * (dbUHi));
dbTmp2 = ((dbQLo) * (dbuLo));
dbTmp2 = (dbTmp2 + (dbQHi) * (dbuLo));
dbVTmp1 = (dbTmp2 + (dbQLo) * (dbUHi));
dbT1Hi = dbTmp1;
dbT1Lo = dbVTmp1;
/* Rebreak T1Hi+T1Lo into THi+TLo */
dbVTmp1 = ((dbT1Hi) + (dbT1Lo));
dbTmp1 = ((dbT1Hi) - dbVTmp1);
dbVTmp2 = (dbTmp1 + (dbT1Lo));
dbTHi = dbVTmp1;
dbTLo = dbVTmp2;
/* 5.b) atan() approximation */
dbS = dbTHi * dbTHi;
dbAtanPoly =
((((((((__constant double *) __datan_la_nolut_CoutTab)[234]) * dbS + ((__constant double *) __datan_la_nolut_CoutTab)[233]) * dbS +
((__constant double *) __datan_la_nolut_CoutTab)[232]) * dbS + ((__constant double *) __datan_la_nolut_CoutTab)[231]) * dbS +
((__constant double *) __datan_la_nolut_CoutTab)[230]) * dbS + ((__constant double *) __datan_la_nolut_CoutTab)[229]) * dbS +
((__constant double *) __datan_la_nolut_CoutTab)[228];
/* 5.c) atan() reconstruction */
/* Rebreak ATAN_B_HI[j]+THi into AHi+ALo */
dbVTmp1 = ((((__constant double *) __datan_la_nolut_CoutTab)[0 + 2 * (iJ) + 0]) + (dbTHi));
dbTmp1 = ((((__constant double *) __datan_la_nolut_CoutTab)[0 + 2 * (iJ) + 0]) - dbVTmp1);
dbVTmp2 = (dbTmp1 + (dbTHi));
dbAHi = dbVTmp1;
dbALo = dbVTmp2;
/* ResHi := AHi */
dbResHi = dbAHi;
/* ResLo := ((TLo + THi*S*AtanPoly) + ATAN_B_LO[j]) + ALo */
dbTmp1 = dbAtanPoly * dbS;
dbTmp1 = dbTmp1 * dbTHi;
dbTmp1 = dbTmp1 + dbTLo;
dbTmp1 = dbTmp1 + ((__constant double *) __datan_la_nolut_CoutTab)[0 + 2 * (iJ) + 1];
dbResLo = dbTmp1 + dbALo;
/* (*r) := Sign * (ResHi + ResLo) */
dbRes = dbResHi + dbResLo;
(((_iml_dp_union_t *) & dbRes)->dwords.hi_dword =
(((_iml_dp_union_t *) & dbRes)->dwords.hi_dword & 0x7FFFFFFF) | ((_iml_uint32_t) (iSign) << 31));
(*r) = dbRes;
}
else
{
/* 4) "Large arguments" path */
/* Here if BOUND2 <= x < Inf */
/* Res := Pi/2 */
dbRes = ((__constant double *) __datan_la_nolut_CoutTab)[239] + ((__constant double *) __datan_la_nolut_CoutTab)[240];
/* (*r) := Sign * Res */
(((_iml_dp_union_t *) & dbRes)->dwords.hi_dword =
(((_iml_dp_union_t *) & dbRes)->dwords.hi_dword & 0x7FFFFFFF) | ((_iml_uint32_t) (iSign) << 31));
(*r) = dbRes;
}
}
else
{
/* 3) "Near 0" path. Here if 0 <= x < BOUND1 */
if (dbX >= ((__constant double *) __datan_la_nolut_CoutTab)[235])
{
/* Path 3.3) Here if BOUND0 <= x < BOUND1 */
/* atan() approximation */
dbS = dbX * dbX;
dbAtanPoly =
((((((((__constant double *) __datan_la_nolut_CoutTab)[234]) * dbS + ((__constant double *) __datan_la_nolut_CoutTab)[233]) * dbS +
((__constant double *) __datan_la_nolut_CoutTab)[232]) * dbS + ((__constant double *) __datan_la_nolut_CoutTab)[231]) * dbS +
((__constant double *) __datan_la_nolut_CoutTab)[230]) * dbS + ((__constant double *) __datan_la_nolut_CoutTab)[229]) * dbS +
((__constant double *) __datan_la_nolut_CoutTab)[228];
/* atan() reconstruction */
dbRes = dbAtanPoly * dbS;
dbRes = dbRes * dbX;
dbRes = dbRes + dbX;
/* (*r) := Sign * Res */
(((_iml_dp_union_t *) & dbRes)->dwords.hi_dword =
(((_iml_dp_union_t *) & dbRes)->dwords.hi_dword & 0x7FFFFFFF) | ((_iml_uint32_t) (iSign) << 31));
(*r) = dbRes;
}
else
{
/* Here if 0 <= x < BOUND0 */
if (((((_iml_dp_union_t *) & dbX)->dwords.hi_dword >> 20) & 0x7FF) != 0)
{
/* Path 3.2) Here if MIN_NORMAL <= x < BOUND0 */
/* Tmp := 1 + x */
dbVTmp1 = ((__constant double *) __datan_la_nolut_CoutTab)[238] + dbX;
/* Res := Tmp * x */
dbRes = dbVTmp1 * dbX;
/* (*r) := Sign * Res */
(((_iml_dp_union_t *) & dbRes)->dwords.hi_dword =
(((_iml_dp_union_t *) & dbRes)->dwords.hi_dword & 0x7FFFFFFF) | ((_iml_uint32_t) (iSign) << 31));
(*r) = dbRes;
}
else
{
/* Path 3.2) Here if x is zero or denormalized */
/* number in target precision */
/* Res := x + x * x */
dbVTmp1 = dbX * dbX;
dbRes = dbX + dbVTmp1;
/* (*r) := Sign * Res */
(((_iml_dp_union_t *) & dbRes)->dwords.hi_dword =
(((_iml_dp_union_t *) & dbRes)->dwords.hi_dword & 0x7FFFFFFF) | ((_iml_uint32_t) (iSign) << 31));
(*r) = dbRes;
}
}
}
}
else
{
if ((((((_iml_dp_union_t *) & (*a))->dwords.hi_dword & 0x000FFFFF) == 0) && ((((_iml_dp_union_t *) & (*a))->dwords.lo_dword) == 0)))
{
/* Path 2). Here if argument is Infinity */
/* (*r) := Sign * Pi/2 */
dbRes = ((__constant double *) __datan_la_nolut_CoutTab)[239] + ((__constant double *) __datan_la_nolut_CoutTab)[240];
iSign = (((_iml_dp_union_t *) & (*a))->dwords.hi_dword >> 31);
(((_iml_dp_union_t *) & dbRes)->dwords.hi_dword =
(((_iml_dp_union_t *) & dbRes)->dwords.hi_dword & 0x7FFFFFFF) | ((_iml_uint32_t) (iSign) << 31));
(*r) = dbRes;
}
else
{
/* Path 1). Here if argument is NaN */
(*r) = (*a) + (*a);
}
}
return nRet;
}
double __ocl_svml_atan_noLUT (double a)
{
unsigned int vm;
double va1;
double vr1;
double r;
va1 = a;
{
double dAY;
double dSY;
double dM;
double dA;
double dB;
double dA1;
double dY;
double dR;
double dR2;
double dR4;
double dR8;
double dPC[22];
double dP;
double dP1;
double dP2;
double dP3;
double dP4;
double dPH;
double dPL;
double dRcp;
double dE;
double dRangeMask;
unsigned long lRangeMask;
double dONE;
double dPIO2;
double dSIGN_MASK;
double dABS_MASK;
double dRangeVal;
dABS_MASK = as_double (__ocl_svml_internal_datan_data._dABS_MASK);
// AY = |Y|
dAY = as_double ((as_ulong (va1) & as_ulong (dABS_MASK)));
dSIGN_MASK = as_double (__ocl_svml_internal_datan_data._dSIGN_MASK);
// SY = sign of Y
dSY = as_double ((as_ulong (va1) & as_ulong (dSIGN_MASK)));
// 1) If x>1, then r=-1/x, PIO2=Pi/2
// 2) If -1<=x<=1, then r=x, PIO2=0
// 3) If x<-1, then r=-1/x, PIO2=-Pi/2
dONE = as_double (__ocl_svml_internal_datan_data._dONE);
dM = as_double ((unsigned long) ((dAY <= dONE) ? 0xffffffffffffffff : 0x0));
dPIO2 = as_double (__ocl_svml_internal_datan_data._dPIO2);
dPIO2 = as_double ((~(as_ulong (dM)) & as_ulong (dPIO2)));
dPIO2 = as_double ((as_ulong (dPIO2) ^ as_ulong (dSY)));
// Division A/B
vm = 0;
dRcp = (dONE / va1);
dRcp = as_double ((as_ulong (dSIGN_MASK) ^ as_ulong (dRcp)));
dR = as_double ((((~as_ulong (dM)) & as_ulong (dRcp)) | (as_ulong (dM) & as_ulong (va1))));
// Polynomial:
dPC[19] = as_double (__ocl_svml_internal_datan_data._dPC19);
dPC[18] = as_double (__ocl_svml_internal_datan_data._dPC18);
dPC[17] = as_double (__ocl_svml_internal_datan_data._dPC17);
dPC[16] = as_double (__ocl_svml_internal_datan_data._dPC16);
dPC[15] = as_double (__ocl_svml_internal_datan_data._dPC15);
dPC[14] = as_double (__ocl_svml_internal_datan_data._dPC14);
dPC[13] = as_double (__ocl_svml_internal_datan_data._dPC13);
dPC[12] = as_double (__ocl_svml_internal_datan_data._dPC12);
dPC[11] = as_double (__ocl_svml_internal_datan_data._dPC11);
dPC[10] = as_double (__ocl_svml_internal_datan_data._dPC10);
dPC[9] = as_double (__ocl_svml_internal_datan_data._dPC9);
dPC[8] = as_double (__ocl_svml_internal_datan_data._dPC8);
dPC[7] = as_double (__ocl_svml_internal_datan_data._dPC7);
dPC[6] = as_double (__ocl_svml_internal_datan_data._dPC6);
dPC[5] = as_double (__ocl_svml_internal_datan_data._dPC5);
dPC[4] = as_double (__ocl_svml_internal_datan_data._dPC4);
dPC[3] = as_double (__ocl_svml_internal_datan_data._dPC3);
dPC[2] = as_double (__ocl_svml_internal_datan_data._dPC2);
dPC[1] = as_double (__ocl_svml_internal_datan_data._dPC1);
dPC[0] = as_double (__ocl_svml_internal_datan_data._dPC0);
// R2 = R*R
dR2 = (dR * dR);
// R4 = R2*R2
dR4 = (dR2 * dR2);
dP = SPIRV_OCL_BUILTIN (fma, _f64_f64_f64,) (dPC[19], dR2, dPC[18]);
dP = SPIRV_OCL_BUILTIN (fma, _f64_f64_f64,) (dP, dR2, dPC[17]);
dP = SPIRV_OCL_BUILTIN (fma, _f64_f64_f64,) (dP, dR2, dPC[16]);
dP = SPIRV_OCL_BUILTIN (fma, _f64_f64_f64,) (dP, dR2, dPC[15]);
dP = SPIRV_OCL_BUILTIN (fma, _f64_f64_f64,) (dP, dR2, dPC[14]);
dP = SPIRV_OCL_BUILTIN (fma, _f64_f64_f64,) (dP, dR2, dPC[13]);
dP = SPIRV_OCL_BUILTIN (fma, _f64_f64_f64,) (dP, dR2, dPC[12]);
dP = SPIRV_OCL_BUILTIN (fma, _f64_f64_f64,) (dP, dR2, dPC[11]);
dP = SPIRV_OCL_BUILTIN (fma, _f64_f64_f64,) (dP, dR2, dPC[10]);
dP = SPIRV_OCL_BUILTIN (fma, _f64_f64_f64,) (dP, dR2, dPC[9]);
dP = SPIRV_OCL_BUILTIN (fma, _f64_f64_f64,) (dP, dR2, dPC[8]);
dP = SPIRV_OCL_BUILTIN (fma, _f64_f64_f64,) (dP, dR2, dPC[7]);
dP = SPIRV_OCL_BUILTIN (fma, _f64_f64_f64,) (dP, dR2, dPC[6]);
dP = SPIRV_OCL_BUILTIN (fma, _f64_f64_f64,) (dP, dR2, dPC[5]);
dP = SPIRV_OCL_BUILTIN (fma, _f64_f64_f64,) (dP, dR2, dPC[4]);
dP = SPIRV_OCL_BUILTIN (fma, _f64_f64_f64,) (dP, dR2, dPC[3]);
dP = SPIRV_OCL_BUILTIN (fma, _f64_f64_f64,) (dP, dR2, dPC[2]);
dP = SPIRV_OCL_BUILTIN (fma, _f64_f64_f64,) (dP, dR2, dPC[1]);
dP = SPIRV_OCL_BUILTIN (fma, _f64_f64_f64,) (dP, dR2, dPC[0]);
// Reconstruction:
// Result = P*R + PIO2 (corrected)
vr1 = SPIRV_OCL_BUILTIN (fma, _f64_f64_f64,) (dP, dR, dPIO2);
}
if (__builtin_expect ((vm) != 0, 0))
{
double _vapi_arg1[1];
double _vapi_res1[1];
((double *) _vapi_arg1)[0] = va1;
((double *) _vapi_res1)[0] = vr1;
__ocl_svml_internal_datan_noLUT (_vapi_arg1, _vapi_res1);
vr1 = ((double *) _vapi_res1)[0];
};
r = vr1;
return r;
}
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