源码链接HEAAN 和 TestScheme
参数设置：

long logq = 1200; ///< Ciphertext Modulus
long logp = 30; ///< Real message will be quantized by multiplying 2^40
long logn = 5; ///< log2(The number of slots)
//for BOOTSTRAPPING的参数
logq = logp + 10; //< suppose the input ciphertext of bootstrapping has logq = logp + 10
logn = 3; //< larger logn will make bootstrapping tech much slower
long logT = 4; //< this means that we use Taylor approximation in [-1/T,1/T] with double angle fomula

CKKS方案是近似加密，所以会有误差
m~:是明文状态操作后的明文
d~:解密后对应的明文
e~:误差


wbq@wbq-virtual-machine:~/HEAAN/HEAAN/run$ ./TestHEAAN Encrypt
!!! START TEST ENCRYPT  !!!
(0.905108,0.77373)
------------------
Start Encrypt
Encrypt time = 6786.23 ms
------------------
------------------
Start Decrypt
(0.905108,0.77373)
Decrypt time = 4843.54 ms
------------------
---------------------
mval: 0 :(0.905108,0.77373)
dval: 0 :(0.905108,0.77373)
eval: 0 :(9.54722e-09,2.10989e-08)
---------------------
---------------------
mval: 1 :(0.884594,0.436554)
dval: 1 :(0.884594,0.436554)
eval: 1 :(2.29839e-08,-1.33663e-09)
---------------------
---------------------
mval: 2 :(0.900662,0.926169)
dval: 2 :(0.900662,0.926169)
eval: 2 :(-7.89836e-09,2.49191e-08)
---------------------
---------------------
mval: 3 :(0.429416,0.155729)
dval: 3 :(0.429416,0.155729)
eval: 3 :(6.16408e-09,-2.06931e-08)
---------------------
---------------------
mval: 4 :(0.971114,0.280396)
dval: 4 :(0.971114,0.280396)
eval: 4 :(7.12538e-09,1.83298e-09)
---------------------
---------------------
mval: 5 :(0.110709,0.283444)
dval: 5 :(0.110709,0.283444)
eval: 5 :(-4.85767e-09,-8.39832e-10)
---------------------
---------------------
mval: 6 :(0.301737,0.724401)
dval: 6 :(0.301737,0.724401)
eval: 6 :(1.10854e-08,-1.92714e-08)
---------------------
---------------------
mval: 7 :(0.0416053,0.90915)
dval: 7 :(0.0416053,0.90915)
eval: 7 :(-1.31762e-08,2.16793e-08)
---------------------
---------------------
mval: 8 :(0.296376,0.647107)
dval: 8 :(0.296376,0.647107)
eval: 8 :(-9.80958e-10,-3.26007e-09)
---------------------
---------------------
mval: 9 :(0.527041,0.49361)
dval: 9 :(0.527041,0.49361)
eval: 9 :(-7.52153e-09,-6.00595e-10)
---------------------
---------------------
mval: 10 :(0.451443,0.446055)
dval: 10 :(0.451443,0.446055)
eval: 10 :(4.59682e-09,-1.66303e-08)
---------------------
---------------------
mval: 11 :(0.246182,0.525222)
dval: 11 :(0.246182,0.525222)
eval: 11 :(6.71685e-09,4.24125e-09)
---------------------
---------------------
mval: 12 :(0.246637,0.00731704)
dval: 12 :(0.246637,0.00731704)
eval: 12 :(1.44638e-08,-5.64442e-09)
---------------------
---------------------
mval: 13 :(0.535889,0.174915)
dval: 13 :(0.535889,0.174915)
eval: 13 :(-4.03403e-09,8.15515e-09)
---------------------
---------------------
mval: 14 :(0.356687,0.961539)
dval: 14 :(0.356687,0.961539)
eval: 14 :(-2.12109e-09,-4.55996e-09)
---------------------
---------------------
mval: 15 :(0.771928,0.261795)
dval: 15 :(0.771928,0.261795)
eval: 15 :(1.484e-08,7.25332e-09)
---------------------
---------------------
mval: 16 :(0.735268,0.656522)
dval: 16 :(0.735268,0.656522)
eval: 16 :(-2.93754e-08,-1.89517e-09)
---------------------
---------------------
mval: 17 :(0.698349,0.63593)
dval: 17 :(0.698349,0.63593)
eval: 17 :(7.09196e-09,-8.09747e-09)
---------------------
---------------------
mval: 18 :(0.582691,0.127765)
dval: 18 :(0.582691,0.127765)
eval: 18 :(-6.85112e-09,-1.64243e-09)
---------------------
---------------------
mval: 19 :(0.79166,0.553805)
dval: 19 :(0.79166,0.553805)
eval: 19 :(-6.00393e-09,3.08089e-10)
---------------------
---------------------
mval: 20 :(0.40816,0.902369)
dval: 20 :(0.40816,0.902369)
eval: 20 :(5.89984e-09,1.15863e-08)
---------------------
---------------------
mval: 21 :(0.837248,0.709897)
dval: 21 :(0.837248,0.709897)
eval: 21 :(5.77075e-09,7.47392e-09)
---------------------
---------------------
mval: 22 :(0.62677,0.878854)
dval: 22 :(0.62677,0.878854)
eval: 22 :(-1.2808e-08,2.70682e-09)
---------------------
---------------------
mval: 23 :(0.619048,0.923145)
dval: 23 :(0.619048,0.923145)
eval: 23 :(-8.10594e-09,8.56099e-09)
---------------------
---------------------
mval: 24 :(0.525961,0.146088)
dval: 24 :(0.525961,0.146088)
eval: 24 :(9.15789e-09,-2.67378e-08)
---------------------
---------------------
mval: 25 :(0.416756,0.977404)
dval: 25 :(0.416756,0.977404)
eval: 25 :(-3.98517e-09,1.05761e-08)
---------------------
---------------------
mval: 26 :(0.592143,0.662937)
dval: 26 :(0.592143,0.662937)
eval: 26 :(2.23819e-09,7.97035e-09)
---------------------
---------------------
mval: 27 :(0.502625,0.83878)
dval: 27 :(0.502625,0.83878)
eval: 27 :(1.89559e-09,1.57022e-09)
---------------------
---------------------
mval: 28 :(0.670254,0.0385143)
dval: 28 :(0.670254,0.0385143)
eval: 28 :(1.32788e-10,-7.96772e-09)
---------------------
---------------------
mval: 29 :(0.0136953,0.0269412)
dval: 29 :(0.0136953,0.0269412)
eval: 29 :(7.04291e-09,-1.41965e-09)
---------------------
---------------------
mval: 30 :(5.29652e-05,0.785623)
dval: 30 :(5.29761e-05,0.785623)
eval: 30 :(-1.08478e-08,-1.26739e-09)
---------------------
---------------------
mval: 31 :(0.288736,0.735321)
dval: 31 :(0.288736,0.735321)
eval: 31 :(3.36782e-09,1.43445e-08)
---------------------
!!! END TEST ENCRYPT !!!
wbq@wbq-virtual-machine:~/HEAAN/HEAAN/run$ ./TestHEAAN EncryptSingle
!!! START TEST ENCRYPT SINGLE !!!
------------------
Start Encrypt Single
Encrypt Single time = 2426.15 ms
------------------
---------------------
mval:(0.408571,0.783406)
dval:(0.408571,0.783406)
eval:(1.90256e-10,1.29612e-09)
---------------------
!!! END TEST ENCRYPT SINGLE !!!

wbq@wbq-virtual-machine:~/HEAAN/HEAAN/run$ ./TestHEAAN Add
!!! START TEST ADD !!!
------------------
Start Addition
Addition time = 50.467 ms
------------------
---------------------
madd: 0 :(0.627182,0.335291)
dadd: 0 :(0.627182,0.335291)
eadd: 0 :(2.72341e-09,2.38829e-08)
---------------------
---------------------
madd: 1 :(1.26398,1.7842)
dadd: 1 :(1.26398,1.7842)
eadd: 1 :(-1.2642e-08,1.34724e-09)
---------------------
---------------------
madd: 2 :(1.45012,1.00555)
dadd: 2 :(1.45012,1.00555)
eadd: 2 :(-2.62894e-09,-4.70862e-09)
---------------------
---------------------
madd: 3 :(1.56914,1.11946)
dadd: 3 :(1.56914,1.11946)
eadd: 3 :(-2.79152e-09,-6.3589e-10)
---------------------
---------------------
madd: 4 :(0.916285,0.590416)
dadd: 4 :(0.916285,0.590416)
eadd: 4 :(-1.01484e-08,2.81991e-09)
---------------------
---------------------
madd: 5 :(0.698354,1.00006)
dadd: 5 :(0.698354,1.00006)
eadd: 5 :(-6.65398e-09,7.55103e-11)
---------------------
---------------------
madd: 6 :(0.295057,0.595552)
dadd: 6 :(0.295057,0.595552)
eadd: 6 :(-8.82663e-09,-1.75391e-08)
---------------------
---------------------
madd: 7 :(0.124898,1.1829)
dadd: 7 :(0.124898,1.1829)
eadd: 7 :(5.4454e-09,1.15276e-08)
---------------------
---------------------
madd: 8 :(0.50156,0.906725)
dadd: 8 :(0.50156,0.906725)
eadd: 8 :(1.7911e-09,3.2449e-08)
---------------------
---------------------
madd: 9 :(1.41845,0.851516)
dadd: 9 :(1.41845,0.851516)
eadd: 9 :(1.8863e-08,-6.10293e-09)
---------------------
---------------------
madd: 10 :(0.755831,1.07229)
dadd: 10 :(0.755831,1.07229)
eadd: 10 :(8.23164e-12,-1.27564e-08)
---------------------
---------------------
madd: 11 :(1.47203,1.277)
dadd: 11 :(1.47203,1.277)
eadd: 11 :(-7.10062e-09,-1.8019e-08)
---------------------
---------------------
madd: 12 :(1.31269,1.13417)
dadd: 12 :(1.31269,1.13417)
eadd: 12 :(-1.23918e-08,-2.23701e-08)
---------------------
---------------------
madd: 13 :(1.40232,1.10388)
dadd: 13 :(1.40232,1.10388)
eadd: 13 :(3.25262e-08,-1.96021e-08)
---------------------
---------------------
madd: 14 :(0.86007,1.26365)
dadd: 14 :(0.86007,1.26365)
eadd: 14 :(1.87368e-09,2.98026e-09)
---------------------
---------------------
madd: 15 :(0.983636,0.487251)
dadd: 15 :(0.983636,0.487251)
eadd: 15 :(8.26221e-09,-4.75473e-09)
---------------------
---------------------
madd: 16 :(1.59894,0.247611)
dadd: 16 :(1.59894,0.247611)
eadd: 16 :(1.16279e-08,-7.85082e-09)
---------------------
---------------------
madd: 17 :(1.27145,1.04906)
dadd: 17 :(1.27145,1.04906)
eadd: 17 :(-9.85592e-09,3.60852e-08)
---------------------
---------------------
madd: 18 :(1.25316,1.84059)
dadd: 18 :(1.25316,1.84059)
eadd: 18 :(1.81298e-08,-2.26975e-09)
---------------------
---------------------
madd: 19 :(1.16852,0.169446)
dadd: 19 :(1.16852,0.169446)
eadd: 19 :(2.22619e-08,-9.20415e-09)
---------------------
---------------------
madd: 20 :(1.43101,0.866875)
dadd: 20 :(1.43101,0.866875)
eadd: 20 :(1.71955e-08,-2.2261e-08)
---------------------
---------------------
madd: 21 :(0.169502,0.726064)
dadd: 21 :(0.169502,0.726064)
eadd: 21 :(2.76344e-08,2.01581e-08)
---------------------
---------------------
madd: 22 :(1.46243,0.2944)
dadd: 22 :(1.46243,0.2944)
eadd: 22 :(-1.39861e-08,1.42324e-08)
---------------------
---------------------
madd: 23 :(0.90896,0.963987)
dadd: 23 :(0.90896,0.963987)
eadd: 23 :(-2.31299e-09,2.38418e-08)
---------------------
---------------------
madd: 24 :(1.20112,0.327407)
dadd: 24 :(1.20112,0.327407)
eadd: 24 :(-1.77339e-08,3.64011e-08)
---------------------
---------------------
madd: 25 :(0.815503,0.956956)
dadd: 25 :(0.815503,0.956956)
eadd: 25 :(-3.31735e-08,-1.90599e-08)
---------------------
---------------------
madd: 26 :(0.3997,0.287531)
dadd: 26 :(0.3997,0.287531)
eadd: 26 :(2.29953e-08,-8.23864e-09)
---------------------
---------------------
madd: 27 :(1.23396,1.71239)
dadd: 27 :(1.23396,1.71239)
eadd: 27 :(4.68191e-09,-1.9466e-09)
---------------------
---------------------
madd: 28 :(0.421702,1.63628)
dadd: 28 :(0.421702,1.63628)
eadd: 28 :(-1.22909e-08,2.02707e-08)
---------------------
---------------------
madd: 29 :(1.81627,1.28177)
dadd: 29 :(1.81627,1.28177)
eadd: 29 :(1.11208e-08,-5.38223e-10)
---------------------
---------------------
madd: 30 :(0.899929,0.799904)
dadd: 30 :(0.899929,0.799904)
eadd: 30 :(-1.39429e-08,9.18211e-09)
---------------------
---------------------
madd: 31 :(0.769023,0.498873)
dadd: 31 :(0.769023,0.498873)
eadd: 31 :(-3.18769e-09,2.75262e-08)
---------------------
!!! END TEST ADD !!!
---------------------
wbq@wbq-virtual-machine:~/HEAAN/HEAAN/run$ ./TestHEAAN Mult
!!! START TEST MULT !!!
------------------
Start Multiplication
Multiplication time = 22090.7 ms
---
-------------
---------------------
mmult: 0 :(0.103301,0.116176)
dmult: 0 :(0.103301,0.116176)
emult: 0 :(1.50041e-08,1.71485e-08)
---------------------
---------------------
mmult: 1 :(-0.200213,0.42324)
dmult: 1 :(-0.200213,0.42324)
emult: 1 :(3.02689e-09,-1.28638e-08)
---------------------
---------------------
mmult: 2 :(0.444382,0.552838)
dmult: 2 :(0.444382,0.552838)
emult: 2 :(2.07382e-09,-1.63783e-10)
---------------------
---------------------
mmult: 3 :(-0.241885,0.559813)
dmult: 3 :(-0.241885,0.559813)
emult: 3 :(4.03535e-09,3.01594e-09)
---------------------
---------------------
mmult: 4 :(-0.188233,0.282714)
dmult: 4 :(-0.188233,0.282714)
emult: 4 :(1.68679e-09,2.46349e-08)
---------------------
---------------------
mmult: 5 :(-0.32101,0.873205)
dmult: 5 :(-0.32101,0.873205)
emult: 5 :(1.85614e-08,-1.20585e-08)
---------------------
---------------------
mmult: 6 :(-0.223862,0.240729)
dmult: 6 :(-0.223862,0.240729)
emult: 6 :(-4.3985e-09,-5.65352e-09)
---------------------
---------------------
mmult: 7 :(0.253304,0.18826)
dmult: 7 :(0.253304,0.18826)
emult: 7 :(-9.31225e-09,-1.48025e-08)
---------------------
---------------------
mmult: 8 :(-0.00607558,0.100316)
dmult: 8 :(-0.0060756,0.100316)
emult: 8 :(1.53232e-08,8.44831e-10)
---------------------
---------------------
mmult: 9 :(0.373292,0.888374)
dmult: 9 :(0.373292,0.888374)
emult: 9 :(1.44932e-08,-1.13631e-08)
---------------------
---------------------
mmult: 10 :(0.351934,0.441932)
dmult: 10 :(0.351934,0.441932)
emult: 10 :(-1.13301e-08,-2.25365e-08)
---------------------
---------------------
mmult: 11 :(0.249826,0.780115)
dmult: 11 :(0.249826,0.780115)
emult: 11 :(-1.96427e-09,-1.28814e-08)
---------------------
---------------------
mmult: 12 :(-0.086753,0.655544)
dmult: 12 :(-0.086753,0.655544)
emult: 12 :(1.25536e-08,2.82795e-09)
---------------------
---------------------
mmult: 13 :(0.188954,0.43874)
dmult: 13 :(0.188954,0.43874)
emult: 13 :(2.05163e-09,9.04728e-09)
---------------------
---------------------
mmult: 14 :(-0.179383,0.512348)
dmult: 14 :(-0.179383,0.512348)
emult: 14 :(-1.43323e-08,3.59677e-09)
---------------------
---------------------
mmult: 15 :(-0.118825,0.369728)
dmult: 15 :(-0.118825,0.369728)
emult: 15 :(2.85709e-09,-9.37151e-09)
---------------------
---------------------
mmult: 16 :(0.272553,0.291554)
dmult: 16 :(0.272553,0.291554)
emult: 16 :(9.26841e-09,-8.35488e-09)
---------------------
---------------------
mmult: 17 :(-0.764445,0.0997132)
dmult: 17 :(-0.764445,0.0997132)
emult: 17 :(8.03932e-10,5.78988e-09)
---------------------
---------------------
mmult: 18 :(0.126068,0.597447)
dmult: 18 :(0.126068,0.597447)
emult: 18 :(3.34753e-11,5.92429e-09)
---------------------
---------------------
mmult: 19 :(-0.00698897,0.644229)
dmult: 19 :(-0.00698899,0.644229)
emult: 19 :(1.94675e-08,3.14584e-09)
---------------------
---------------------
mmult: 20 :(-0.283268,0.752362)
dmult: 20 :(-0.283268,0.752362)
emult: 20 :(5.0307e-09,-8.87426e-09)
---------------------
---------------------
mmult: 21 :(-0.339884,0.501806)
dmult: 21 :(-0.339884,0.501806)
emult: 21 :(1.86153e-08,1.06863e-08)
---------------------
---------------------
mmult: 22 :(0.23339,0.44864)
dmult: 22 :(0.23339,0.44864)
emult: 22 :(5.66747e-09,-1.50549e-08)
---------------------
---------------------
mmult: 23 :(0.0762317,0.158112)
dmult: 23 :(0.0762317,0.158112)
emult: 23 :(-2.66153e-09,-1.73844e-08)
---------------------
---------------------
mmult: 24 :(0.0881144,0.984647)
dmult: 24 :(0.0881144,0.984647)
emult: 24 :(4.68709e-09,2.3304e-08)
---------------------
---------------------
mmult: 25 :(0.184469,0.324118)
dmult: 25 :(0.184469,0.324118)
emult: 25 :(-1.42081e-08,2.62485e-09)
---------------------
---------------------
mmult: 26 :(0.603661,1.15333)
dmult: 26 :(0.603661,1.15333)
emult: 26 :(3.13789e-09,1.8618e-08)
---------------------
---------------------
mmult: 27 :(-0.155058,0.33313)
dmult: 27 :(-0.155058,0.33313)
emult: 27 :(6.23425e-09,-6.33525e-09)
---------------------
---------------------
mmult: 28 :(0.437706,0.495538)
dmult: 28 :(0.437706,0.495538)
emult: 28 :(-5.67543e-09,-3.4542e-08)
---------------------
---------------------
mmult: 29 :(0.0588559,0.0844726)
dmult: 29 :(0.0588558,0.0844726)
emult: 29 :(1.06852e-08,1.60505e-09)
---------------------
---------------------
mmult: 30 :(-0.44606,0.752686)
dmult: 30 :(-0.44606,0.752686)
emult: 30 :(-2.57666e-09,1.51734e-08)
---------------------
---------------------
mmult: 31 :(0.0867572,0.725276)
dmult: 31 :(0.0867572,0.725276)
emult: 31 :(-8.61166e-09,7.25746e-09)
---------------------
!!! END TEST MULT !!!

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