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AndrewBelt/soft_rcp_rsqrt.cpp

Created December 31, 2025 09:25
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Bit-exact software implementation of rcpss/rsqrtss SSE instructions
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soft_rcp_rsqrt.cpp
// Bit-exact software implementation of rcpss/rsqrtss SSE instructions
#include <cstdint>
float soft_rcp(float x);
float soft_rsqrt(float x);
// RCP LUT: 2048 entries (11 bits), index = mantissa >> 12
static const uint32_t RCP_LUT[2048];
// RSQRT LUT (even exp): 1024 entries (10 bits), index = mantissa >> 13
static const uint32_t RSQRT_LUT_EVEN[1024];
// RSQRT LUT (odd exp): 1024 entries (10 bits), index = mantissa >> 13
static const uint32_t RSQRT_LUT_ODD[1024];
union F32 {
float f;
uint32_t u;
struct {
uint32_t mantissa : 23;
uint32_t exponent : 8;
uint32_t sign : 1;
};
};
float soft_rcp(float x) {
F32 in = {.f = x};
uint32_t sign_bit = (uint32_t)in.sign << 31;
// Special cases
if (in.exponent == 0)
return F32{.u = sign_bit | 0x7F800000}.f; // zero/denorm -> inf
if (in.exponent == 255)
return (in.mantissa == 0) ? F32{.u = sign_bit}.f : x; // inf->0, nan->nan
// Table lookup using top 11 bits of mantissa
uint32_t idx = in.mantissa >> 12;
F32 lut = {.u = RCP_LUT[idx]};
// Adjust exponent: table was computed for exponent 127
int out_exp = (int)lut.exponent + (127 - (int)in.exponent);
if (out_exp <= 0)
return F32{.u = sign_bit}.f; // underflow -> 0
if (out_exp >= 255)
return F32{.u = sign_bit | 0x7F800000}.f; // overflow -> inf
F32 out;
out.sign = in.sign;
out.exponent = out_exp;
out.mantissa = lut.mantissa;
return out.f;
}
float soft_rsqrt(float x) {
F32 in = {.f = x};
// Special cases
if (in.sign)
return F32{.u = 0xFFC00000}.f; // negative -> NaN
if (in.exponent == 0)
return F32{.u = 0x7F800000}.f; // zero/denorm -> inf
if (in.exponent == 255)
return (in.mantissa == 0) ? 0.0f : x; // inf->0, nan->nan
// Table lookup using top 10 bits of mantissa
uint32_t idx = in.mantissa >> 13;
int parity = (in.exponent - 127) & 1;
F32 lut = {.u = parity ? RSQRT_LUT_ODD[idx] : RSQRT_LUT_EVEN[idx]};
// Adjust exponent: tables were computed for exponent 127 (even) and 128 (odd)
int out_exp = parity
? (int)lut.exponent - ((int)in.exponent - 128) / 2
: (int)lut.exponent - ((int)in.exponent - 127) / 2;
if (out_exp <= 0)
return 0.0f; // underflow -> 0
if (out_exp >= 255)
return F32{.u = 0x7F800000}.f; // overflow -> inf
F32 out;
out.sign = 0;
out.exponent = out_exp;
out.mantissa = lut.mantissa;
return out.f;
}
static const uint32_t RCP_LUT[2048] = {
0x3f7ff000,0x3f7fd000,0x3f7fb000,0x3f7f9000,0x3f7f7000,0x3f7f5000,0x3f7f3000,0x3f7f1000,
0x3f7ef000,0x3f7ed000,0x3f7eb000,0x3f7e9000,0x3f7e7000,0x3f7e5000,0x3f7e3000,0x3f7e1000,
0x3f7df800,0x3f7dd800,0x3f7db800,0x3f7d9800,0x3f7d7800,0x3f7d5800,0x3f7d3800,0x3f7d1800,
0x3f7cf800,0x3f7cd800,0x3f7cb800,0x3f7c9800,0x3f7c8000,0x3f7c6000,0x3f7c4000,0x3f7c2000,
0x3f7c0000,0x3f7be000,0x3f7bc000,0x3f7ba000,0x3f7b8800,0x3f7b6800,0x3f7b4800,0x3f7b2800,
0x3f7b0800,0x3f7ae800,0x3f7ac800,0x3f7ab000,0x3f7a9000,0x3f7a7000,0x3f7a5000,0x3f7a3000,
0x3f7a1000,0x3f79f800,0x3f79d800,0x3f79b800,0x3f799800,0x3f797800,0x3f796000,0x3f794000,
0x3f792000,0x3f790000,0x3f78e000,0x3f78c800,0x3f78a800,0x3f788800,0x3f786800,0x3f785000,
0x3f783000,0x3f781000,0x3f77f000,0x3f77d800,0x3f77b800,0x3f779800,0x3f777800,0x3f776000,
0x3f774000,0x3f772000,0x3f770000,0x3f76e800,0x3f76c800,0x3f76a800,0x3f769000,0x3f767000,
0x3f765000,0x3f763000,0x3f761800,0x3f75f800,0x3f75d800,0x3f75c000,0x3f75a000,0x3f758000,
0x3f756800,0x3f754800,0x3f752800,0x3f751000,0x3f74f000,0x3f74d000,0x3f74b800,0x3f749800,
0x3f747800,0x3f746000,0x3f744000,0x3f742000,0x3f740800,0x3f73e800,0x3f73d000,0x3f73b000,
0x3f739000,0x3f737800,0x3f735800,0x3f733800,0x3f732000,0x3f730000,0x3f72e800,0x3f72c800,
0x3f72a800,0x3f729000,0x3f727000,0x3f725800,0x3f723800,0x3f722000,0x3f720000,0x3f71e000,
0x3f71c800,0x3f71a800,0x3f719000,0x3f717000,0x3f715800,0x3f713800,0x3f711800,0x3f710000,
0x3f70e000,0x3f70c800,0x3f70a800,0x3f709000,0x3f707000,0x3f705800,0x3f703800,0x3f702000,
0x3f700000,0x3f6fe800,0x3f6fc800,0x3f6fb000,0x3f6f9000,0x3f6f7800,0x3f6f5800,0x3f6f4000,
0x3f6f2000,0x3f6f0800,0x3f6ee800,0x3f6ed000,0x3f6eb000,0x3f6e9800,0x3f6e7800,0x3f6e6000,
0x3f6e4000,0x3f6e2800,0x3f6e0800,0x3f6df000,0x3f6dd000,0x3f6db800,0x3f6da000,0x3f6d8000,
0x3f6d6800,0x3f6d4800,0x3f6d3000,0x3f6d1000,0x3f6cf800,0x3f6cd800,0x3f6cc000,0x3f6ca800,
0x3f6c8800,0x3f6c7000,0x3f6c5000,0x3f6c3800,0x3f6c2000,0x3f6c0000,0x3f6be800,0x3f6bc800,
0x3f6bb000,0x3f6b9800,0x3f6b7800,0x3f6b6000,0x3f6b4000,0x3f6b2800,0x3f6b1000,0x3f6af000,
0x3f6ad800,0x3f6ac000,0x3f6aa000,0x3f6a8800,0x3f6a7000,0x3f6a5000,0x3f6a3800,0x3f6a2000,
0x3f6a0000,0x3f69e800,0x3f69c800,0x3f69b000,0x3f699800,0x3f697800,0x3f696000,0x3f694800,
0x3f693000,0x3f691000,0x3f68f800,0x3f68e000,0x3f68c000,0x3f68a800,0x3f689000,0x3f687000,
0x3f685800,0x3f684000,0x3f682000,0x3f680800,0x3f67f000,0x3f67d800,0x3f67b800,0x3f67a000,
0x3f678800,0x3f677000,0x3f675000,0x3f673800,0x3f672000,0x3f670000,0x3f66e800,0x3f66d000,
0x3f66b800,0x3f669800,0x3f668000,0x3f666800,0x3f665000,0x3f663800,0x3f661800,0x3f660000,
0x3f65e800,0x3f65d000,0x3f65b000,0x3f659800,0x3f658000,0x3f656800,0x3f655000,0x3f653000,
0x3f651800,0x3f650000,0x3f64e800,0x3f64c800,0x3f64b000,0x3f649800,0x3f648000,0x3f646800,
0x3f645000,0x3f643000,0x3f641800,0x3f640000,0x3f63e800,0x3f63d000,0x3f63b800,0x3f639800,
0x3f638000,0x3f636800,0x3f635000,0x3f633800,0x3f632000,0x3f630000,0x3f62e800,0x3f62d000,
0x3f62b800,0x3f62a000,0x3f628800,0x3f627000,0x3f625000,0x3f623800,0x3f622000,0x3f620800,
0x3f61f000,0x3f61d800,0x3f61c000,0x3f61a800,0x3f619000,0x3f617000,0x3f615800,0x3f614000,
0x3f612800,0x3f611000,0x3f60f800,0x3f60e000,0x3f60c800,0x3f60b000,0x3f609800,0x3f608000,
0x3f606000,0x3f604800,0x3f603000,0x3f601800,0x3f600000,0x3f5fe800,0x3f5fd000,0x3f5fb800,
0x3f5fa000,0x3f5f8800,0x3f5f7000,0x3f5f5800,0x3f5f4000,0x3f5f2800,0x3f5f1000,0x3f5ef800,
0x3f5ee000,0x3f5ec800,0x3f5eb000,0x3f5e9800,0x3f5e8000,0x3f5e6800,0x3f5e5000,0x3f5e3000,
0x3f5e1800,0x3f5e0000,0x3f5de800,0x3f5dd000,0x3f5db800,0x3f5da000,0x3f5d8800,0x3f5d7000,
0x3f5d5800,0x3f5d4000,0x3f5d3000,0x3f5d1800,0x3f5d0000,0x3f5ce800,0x3f5cd000,0x3f5cb800,
0x3f5ca000,0x3f5c8800,0x3f5c7000,0x3f5c5800,0x3f5c4000,0x3f5c2800,0x3f5c1000,0x3f5bf800,
0x3f5be000,0x3f5bc800,0x3f5bb000,0x3f5b9800,0x3f5b8000,0x3f5b6800,0x3f5b5000,0x3f5b3800,
0x3f5b2000,0x3f5b0800,0x3f5af800,0x3f5ae000,0x3f5ac800,0x3f5ab000,0x3f5a9800,0x3f5a8000,
0x3f5a6800,0x3f5a5000,0x3f5a3800,0x3f5a2000,0x3f5a0800,0x3f59f800,0x3f59e000,0x3f59c800,
0x3f59b000,0x3f599800,0x3f598000,0x3f596800,0x3f595000,0x3f593800,0x3f592800,0x3f591000,
0x3f58f800,0x3f58e000,0x3f58c800,0x3f58b000,0x3f589800,0x3f588000,0x3f587000,0x3f585800,
0x3f584000,0x3f582800,0x3f581000,0x3f57f800,0x3f57e000,0x3f57d000,0x3f57b800,0x3f57a000,
0x3f578800,0x3f577000,0x3f575800,0x3f574800,0x3f573000,0x3f571800,0x3f570000,0x3f56e800,
0x3f56d000,0x3f56c000,0x3f56a800,0x3f569000,0x3f567800,0x3f566000,0x3f565000,0x3f563800,
0x3f562000,0x3f560800,0x3f55f000,0x3f55e000,0x3f55c800,0x3f55b000,0x3f559800,0x3f558800,
0x3f557000,0x3f555800,0x3f554000,0x3f552800,0x3f551800,0x3f550000,0x3f54e800,0x3f54d000,
0x3f54c000,0x3f54a800,0x3f549000,0x3f547800,0x3f546800,0x3f545000,0x3f543800,0x3f542000,
0x3f541000,0x3f53f800,0x3f53e000,0x3f53c800,0x3f53b800,0x3f53a000,0x3f538800,0x3f537000,
0x3f536000,0x3f534800,0x3f533000,0x3f531800,0x3f530800,0x3f52f000,0x3f52d800,0x3f52c800,
0x3f52b000,0x3f529800,0x3f528000,0x3f527000,0x3f525800,0x3f524000,0x3f523000,0x3f521800,
0x3f520000,0x3f51f000,0x3f51d800,0x3f51c000,0x3f51b000,0x3f519800,0x3f518000,0x3f517000,
0x3f515800,0x3f514000,0x3f512800,0x3f511800,0x3f510000,0x3f50e800,0x3f50d800,0x3f50c000,
0x3f50a800,0x3f509800,0x3f508000,0x3f507000,0x3f505800,0x3f504000,0x3f503000,0x3f501800,
0x3f500000,0x3f4ff000,0x3f4fd800,0x3f4fc000,0x3f4fb000,0x3f4f9800,0x3f4f8000,0x3f4f7000,
0x3f4f5800,0x3f4f4800,0x3f4f3000,0x3f4f1800,0x3f4f0800,0x3f4ef000,0x3f4ee000,0x3f4ec800,
0x3f4eb000,0x3f4ea000,0x3f4e8800,0x3f4e7800,0x3f4e6000,0x3f4e4800,0x3f4e3800,0x3f4e2000,
0x3f4e1000,0x3f4df800,0x3f4de000,0x3f4dd000,0x3f4db800,0x3f4da800,0x3f4d9000,0x3f4d7800,
0x3f4d6800,0x3f4d5000,0x3f4d4000,0x3f4d2800,0x3f4d1800,0x3f4d0000,0x3f4ce800,0x3f4cd800,
0x3f4cc000,0x3f4cb000,0x3f4c9800,0x3f4c8800,0x3f4c7000,0x3f4c6000,0x3f4c4800,0x3f4c3000,
0x3f4c2000,0x3f4c0800,0x3f4bf800,0x3f4be000,0x3f4bd000,0x3f4bb800,0x3f4ba800,0x3f4b9000,
0x3f4b8000,0x3f4b6800,0x3f4b5800,0x3f4b4000,0x3f4b3000,0x3f4b1800,0x3f4b0800,0x3f4af000,
0x3f4ad800,0x3f4ac800,0x3f4ab000,0x3f4aa000,0x3f4a8800,0x3f4a7800,0x3f4a6000,0x3f4a5000,
0x3f4a3800,0x3f4a2800,0x3f4a1000,0x3f4a0000,0x3f49e800,0x3f49d800,0x3f49c800,0x3f49b000,
0x3f49a000,0x3f498800,0x3f497800,0x3f496000,0x3f495000,0x3f493800,0x3f492800,0x3f491000,
0x3f490000,0x3f48e800,0x3f48d800,0x3f48c000,0x3f48b000,0x3f489800,0x3f488800,0x3f487800,
0x3f486000,0x3f485000,0x3f483800,0x3f482800,0x3f481000,0x3f480000,0x3f47e800,0x3f47d800,
0x3f47c800,0x3f47b000,0x3f47a000,0x3f478800,0x3f477800,0x3f476000,0x3f475000,0x3f474000,
0x3f472800,0x3f471800,0x3f470000,0x3f46f000,0x3f46d800,0x3f46c800,0x3f46b800,0x3f46a000,
0x3f469000,0x3f467800,0x3f466800,0x3f465800,0x3f464000,0x3f463000,0x3f461800,0x3f460800,
0x3f45f800,0x3f45e000,0x3f45d000,0x3f45b800,0x3f45a800,0x3f459800,0x3f458000,0x3f457000,
0x3f456000,0x3f454800,0x3f453800,0x3f452000,0x3f451000,0x3f450000,0x3f44e800,0x3f44d800,
0x3f44c800,0x3f44b000,0x3f44a000,0x3f448800,0x3f447800,0x3f446800,0x3f445000,0x3f444000,
0x3f443000,0x3f441800,0x3f440800,0x3f43f800,0x3f43e000,0x3f43d000,0x3f43c000,0x3f43a800,
0x3f439800,0x3f438800,0x3f437000,0x3f436000,0x3f435000,0x3f433800,0x3f432800,0x3f431800,
0x3f430000,0x3f42f000,0x3f42e000,0x3f42c800,0x3f42b800,0x3f42a800,0x3f429000,0x3f428000,
0x3f427000,0x3f426000,0x3f424800,0x3f423800,0x3f422800,0x3f421000,0x3f420000,0x3f41f000,
0x3f41d800,0x3f41c800,0x3f41b800,0x3f41a800,0x3f419000,0x3f418000,0x3f417000,0x3f415800,
0x3f414800,0x3f413800,0x3f412800,0x3f411000,0x3f410000,0x3f40f000,0x3f40d800,0x3f40c800,
0x3f40b800,0x3f40a800,0x3f409000,0x3f408000,0x3f407000,0x3f406000,0x3f404800,0x3f403800,
0x3f402800,0x3f401800,0x3f400000,0x3f3ff000,0x3f3fe000,0x3f3fd000,0x3f3fb800,0x3f3fa800,
0x3f3f9800,0x3f3f8800,0x3f3f7000,0x3f3f6000,0x3f3f5000,0x3f3f4000,0x3f3f2800,0x3f3f1800,
0x3f3f0800,0x3f3ef800,0x3f3ee800,0x3f3ed000,0x3f3ec000,0x3f3eb000,0x3f3ea000,0x3f3e8800,
0x3f3e7800,0x3f3e6800,0x3f3e5800,0x3f3e4800,0x3f3e3000,0x3f3e2000,0x3f3e1000,0x3f3e0000,
0x3f3df000,0x3f3dd800,0x3f3dc800,0x3f3db800,0x3f3da800,0x3f3d9800,0x3f3d8000,0x3f3d7000,
0x3f3d6000,0x3f3d5000,0x3f3d4000,0x3f3d2800,0x3f3d1800,0x3f3d0800,0x3f3cf800,0x3f3ce800,
0x3f3cd800,0x3f3cc000,0x3f3cb000,0x3f3ca000,0x3f3c9000,0x3f3c8000,0x3f3c7000,0x3f3c5800,
0x3f3c4800,0x3f3c3800,0x3f3c2800,0x3f3c1800,0x3f3c0800,0x3f3bf000,0x3f3be000,0x3f3bd000,
0x3f3bc000,0x3f3bb000,0x3f3ba000,0x3f3b9000,0x3f3b7800,0x3f3b6800,0x3f3b5800,0x3f3b4800,
0x3f3b3800,0x3f3b2800,0x3f3b1800,0x3f3b0000,0x3f3af000,0x3f3ae000,0x3f3ad000,0x3f3ac000,
0x3f3ab000,0x3f3aa000,0x3f3a8800,0x3f3a7800,0x3f3a6800,0x3f3a5800,0x3f3a4800,0x3f3a3800,
0x3f3a2800,0x3f3a1800,0x3f3a0800,0x3f39f000,0x3f39e000,0x3f39d000,0x3f39c000,0x3f39b000,
0x3f39a000,0x3f399000,0x3f398000,0x3f397000,0x3f395800,0x3f394800,0x3f393800,0x3f392800,
0x3f391800,0x3f390800,0x3f38f800,0x3f38e800,0x3f38d800,0x3f38c800,0x3f38b800,0x3f38a800,
0x3f389000,0x3f388000,0x3f387000,0x3f386000,0x3f385000,0x3f384000,0x3f383000,0x3f382000,
0x3f381000,0x3f380000,0x3f37f000,0x3f37e000,0x3f37d000,0x3f37c000,0x3f37a800,0x3f379800,
0x3f378800,0x3f377800,0x3f376800,0x3f375800,0x3f374800,0x3f373800,0x3f372800,0x3f371800,
0x3f370800,0x3f36f800,0x3f36e800,0x3f36d800,0x3f36c800,0x3f36b800,0x3f36a800,0x3f369800,
0x3f368800,0x3f367800,0x3f366800,0x3f365800,0x3f364800,0x3f363000,0x3f362000,0x3f361000,
0x3f360000,0x3f35f000,0x3f35e000,0x3f35d000,0x3f35c000,0x3f35b000,0x3f35a000,0x3f359000,
0x3f358000,0x3f357000,0x3f356000,0x3f355000,0x3f354000,0x3f353000,0x3f352000,0x3f351000,
0x3f350000,0x3f34f000,0x3f34e000,0x3f34d000,0x3f34c000,0x3f34b000,0x3f34a000,0x3f349000,
0x3f348000,0x3f347000,0x3f346000,0x3f345000,0x3f344000,0x3f343000,0x3f342000,0x3f341000,
0x3f340000,0x3f33f000,0x3f33e000,0x3f33d000,0x3f33c800,0x3f33b800,0x3f33a800,0x3f339800,
0x3f338800,0x3f337800,0x3f336800,0x3f335800,0x3f334800,0x3f333800,0x3f332800,0x3f331800,
0x3f330800,0x3f32f800,0x3f32e800,0x3f32d800,0x3f32c800,0x3f32b800,0x3f32a800,0x3f329800,
0x3f328800,0x3f327800,0x3f326800,0x3f326000,0x3f325000,0x3f324000,0x3f323000,0x3f322000,
0x3f321000,0x3f320000,0x3f31f000,0x3f31e000,0x3f31d000,0x3f31c000,0x3f31b000,0x3f31a000,
0x3f319000,0x3f318000,0x3f317800,0x3f316800,0x3f315800,0x3f314800,0x3f313800,0x3f312800,
0x3f311800,0x3f310800,0x3f30f800,0x3f30e800,0x3f30d800,0x3f30c800,0x3f30c000,0x3f30b000,
0x3f30a000,0x3f309000,0x3f308000,0x3f307000,0x3f306000,0x3f305000,0x3f304000,0x3f303000,
0x3f302800,0x3f301800,0x3f300800,0x3f2ff800,0x3f2fe800,0x3f2fd800,0x3f2fc800,0x3f2fb800,
0x3f2fa800,0x3f2fa000,0x3f2f9000,0x3f2f8000,0x3f2f7000,0x3f2f6000,0x3f2f5000,0x3f2f4000,
0x3f2f3000,0x3f2f2800,0x3f2f1800,0x3f2f0800,0x3f2ef800,0x3f2ee800,0x3f2ed800,0x3f2ec800,
0x3f2eb800,0x3f2eb000,0x3f2ea000,0x3f2e9000,0x3f2e8000,0x3f2e7000,0x3f2e6000,0x3f2e5000,
0x3f2e4800,0x3f2e3800,0x3f2e2800,0x3f2e1800,0x3f2e0800,0x3f2df800,0x3f2df000,0x3f2de000,
0x3f2dd000,0x3f2dc000,0x3f2db000,0x3f2da000,0x3f2d9000,0x3f2d8800,0x3f2d7800,0x3f2d6800,
0x3f2d5800,0x3f2d4800,0x3f2d3800,0x3f2d3000,0x3f2d2000,0x3f2d1000,0x3f2d0000,0x3f2cf000,
0x3f2ce000,0x3f2cd800,0x3f2cc800,0x3f2cb800,0x3f2ca800,0x3f2c9800,0x3f2c9000,0x3f2c8000,
0x3f2c7000,0x3f2c6000,0x3f2c5000,0x3f2c4000,0x3f2c3800,0x3f2c2800,0x3f2c1800,0x3f2c0800,
0x3f2bf800,0x3f2bf000,0x3f2be000,0x3f2bd000,0x3f2bc000,0x3f2bb000,0x3f2ba800,0x3f2b9800,
0x3f2b8800,0x3f2b7800,0x3f2b6800,0x3f2b6000,0x3f2b5000,0x3f2b4000,0x3f2b3000,0x3f2b2000,
0x3f2b1800,0x3f2b0800,0x3f2af800,0x3f2ae800,0x3f2ae000,0x3f2ad000,0x3f2ac000,0x3f2ab000,
0x3f2aa000,0x3f2a9800,0x3f2a8800,0x3f2a7800,0x3f2a6800,0x3f2a6000,0x3f2a5000,0x3f2a4000,
0x3f2a3000,0x3f2a2000,0x3f2a1800,0x3f2a0800,0x3f29f800,0x3f29e800,0x3f29e000,0x3f29d000,
0x3f29c000,0x3f29b000,0x3f29a800,0x3f299800,0x3f298800,0x3f297800,0x3f297000,0x3f296000,
0x3f295000,0x3f294000,0x3f293800,0x3f292800,0x3f291800,0x3f290800,0x3f290000,0x3f28f000,
0x3f28e000,0x3f28d000,0x3f28c800,0x3f28b800,0x3f28a800,0x3f289800,0x3f289000,0x3f288000,
0x3f287000,0x3f286800,0x3f285800,0x3f284800,0x3f283800,0x3f283000,0x3f282000,0x3f281000,
0x3f280000,0x3f27f800,0x3f27e800,0x3f27d800,0x3f27d000,0x3f27c000,0x3f27b000,0x3f27a000,
0x3f279800,0x3f278800,0x3f277800,0x3f277000,0x3f276000,0x3f275000,0x3f274000,0x3f273800,
0x3f272800,0x3f271800,0x3f271000,0x3f270000,0x3f26f000,0x3f26e800,0x3f26d800,0x3f26c800,
0x3f26b800,0x3f26b000,0x3f26a000,0x3f269000,0x3f268800,0x3f267800,0x3f266800,0x3f266000,
0x3f265000,0x3f264000,0x3f263800,0x3f262800,0x3f261800,0x3f260800,0x3f260000,0x3f25f000,
0x3f25e000,0x3f25d800,0x3f25c800,0x3f25b800,0x3f25b000,0x3f25a000,0x3f259000,0x3f258800,
0x3f257800,0x3f256800,0x3f256000,0x3f255000,0x3f254000,0x3f253800,0x3f252800,0x3f251800,
0x3f251000,0x3f250000,0x3f24f000,0x3f24e800,0x3f24d800,0x3f24c800,0x3f24c000,0x3f24b000,
0x3f24a000,0x3f249800,0x3f248800,0x3f247800,0x3f247000,0x3f246000,0x3f245000,0x3f244800,
0x3f243800,0x3f243000,0x3f242000,0x3f241000,0x3f240800,0x3f23f800,0x3f23e800,0x3f23e000,
0x3f23d000,0x3f23c000,0x3f23b800,0x3f23a800,0x3f23a000,0x3f239000,0x3f238000,0x3f237800,
0x3f236800,0x3f235800,0x3f235000,0x3f234000,0x3f233000,0x3f232800,0x3f231800,0x3f231000,
0x3f230000,0x3f22f000,0x3f22e800,0x3f22d800,0x3f22d000,0x3f22c000,0x3f22b000,0x3f22a800,
0x3f229800,0x3f228800,0x3f228000,0x3f227000,0x3f226800,0x3f225800,0x3f224800,0x3f224000,
0x3f223000,0x3f222800,0x3f221800,0x3f220800,0x3f220000,0x3f21f000,0x3f21e800,0x3f21d800,
0x3f21c800,0x3f21c000,0x3f21b000,0x3f21a800,0x3f219800,0x3f218800,0x3f218000,0x3f217000,
0x3f216800,0x3f215800,0x3f214800,0x3f214000,0x3f213000,0x3f212800,0x3f211800,0x3f210800,
0x3f210000,0x3f20f000,0x3f20e800,0x3f20d800,0x3f20d000,0x3f20c000,0x3f20b000,0x3f20a800,
0x3f209800,0x3f209000,0x3f208000,0x3f207800,0x3f206800,0x3f205800,0x3f205000,0x3f204000,
0x3f203800,0x3f202800,0x3f202000,0x3f201000,0x3f200000,0x3f1ff800,0x3f1fe800,0x3f1fe000,
0x3f1fd000,0x3f1fc800,0x3f1fb800,0x3f1fb000,0x3f1fa000,0x3f1f9000,0x3f1f8800,0x3f1f7800,
0x3f1f7000,0x3f1f6000,0x3f1f5800,0x3f1f4800,0x3f1f4000,0x3f1f3000,0x3f1f2000,0x3f1f1800,
0x3f1f0800,0x3f1f0000,0x3f1ef000,0x3f1ee800,0x3f1ed800,0x3f1ed000,0x3f1ec000,0x3f1eb800,
0x3f1ea800,0x3f1ea000,0x3f1e9000,0x3f1e8000,0x3f1e7800,0x3f1e6800,0x3f1e6000,0x3f1e5000,
0x3f1e4800,0x3f1e3800,0x3f1e3000,0x3f1e2000,0x3f1e1800,0x3f1e0800,0x3f1e0000,0x3f1df000,
0x3f1de800,0x3f1dd800,0x3f1dd000,0x3f1dc000,0x3f1db800,0x3f1da800,0x3f1da000,0x3f1d9000,
0x3f1d8000,0x3f1d7800,0x3f1d6800,0x3f1d6000,0x3f1d5000,0x3f1d4800,0x3f1d3800,0x3f1d3000,
0x3f1d2000,0x3f1d1800,0x3f1d0800,0x3f1d0000,0x3f1cf000,0x3f1ce800,0x3f1cd800,0x3f1cd000,
0x3f1cc000,0x3f1cb800,0x3f1ca800,0x3f1ca000,0x3f1c9000,0x3f1c8800,0x3f1c7800,0x3f1c7000,
0x3f1c6000,0x3f1c5800,0x3f1c4800,0x3f1c4000,0x3f1c3000,0x3f1c2800,0x3f1c1800,0x3f1c1000,
0x3f1c0000,0x3f1bf800,0x3f1bf000,0x3f1be000,0x3f1bd800,0x3f1bc800,0x3f1bc000,0x3f1bb000,
0x3f1ba800,0x3f1b9800,0x3f1b9000,0x3f1b8000,0x3f1b7800,0x3f1b6800,0x3f1b6000,0x3f1b5000,
0x3f1b4800,0x3f1b3800,0x3f1b3000,0x3f1b2000,0x3f1b1800,0x3f1b0800,0x3f1b0000,0x3f1af800,
0x3f1ae800,0x3f1ae000,0x3f1ad000,0x3f1ac800,0x3f1ab800,0x3f1ab000,0x3f1aa000,0x3f1a9800,
0x3f1a8800,0x3f1a8000,0x3f1a7000,0x3f1a6800,0x3f1a6000,0x3f1a5000,0x3f1a4800,0x3f1a3800,
0x3f1a3000,0x3f1a2000,0x3f1a1800,0x3f1a0800,0x3f1a0000,0x3f19f800,0x3f19e800,0x3f19e000,
0x3f19d000,0x3f19c800,0x3f19b800,0x3f19b000,0x3f19a000,0x3f199800,0x3f199000,0x3f198000,
0x3f197800,0x3f196800,0x3f196000,0x3f195000,0x3f194800,0x3f193800,0x3f193000,0x3f192800,
0x3f191800,0x3f191000,0x3f190000,0x3f18f800,0x3f18e800,0x3f18e000,0x3f18d800,0x3f18c800,
0x3f18c000,0x3f18b000,0x3f18a800,0x3f189800,0x3f189000,0x3f188800,0x3f187800,0x3f187000,
0x3f186000,0x3f185800,0x3f185000,0x3f184000,0x3f183800,0x3f182800,0x3f182000,0x3f181000,
0x3f180800,0x3f180000,0x3f17f000,0x3f17e800,0x3f17d800,0x3f17d000,0x3f17c800,0x3f17b800,
0x3f17b000,0x3f17a000,0x3f179800,0x3f179000,0x3f178000,0x3f177800,0x3f176800,0x3f176000,
0x3f175800,0x3f174800,0x3f174000,0x3f173000,0x3f172800,0x3f172000,0x3f171000,0x3f170800,
0x3f16f800,0x3f16f000,0x3f16e800,0x3f16d800,0x3f16d000,0x3f16c800,0x3f16b800,0x3f16b000,
0x3f16a000,0x3f169800,0x3f169000,0x3f168000,0x3f167800,0x3f166800,0x3f166000,0x3f165800,
0x3f164800,0x3f164000,0x3f163800,0x3f162800,0x3f162000,0x3f161000,0x3f160800,0x3f160000,
0x3f15f000,0x3f15e800,0x3f15e000,0x3f15d000,0x3f15c800,0x3f15b800,0x3f15b000,0x3f15a800,
0x3f159800,0x3f159000,0x3f158800,0x3f157800,0x3f157000,0x3f156800,0x3f155800,0x3f155000,
0x3f154000,0x3f153800,0x3f153000,0x3f152000,0x3f151800,0x3f151000,0x3f150000,0x3f14f800,
0x3f14f000,0x3f14e000,0x3f14d800,0x3f14d000,0x3f14c000,0x3f14b800,0x3f14a800,0x3f14a000,
0x3f149800,0x3f148800,0x3f148000,0x3f147800,0x3f146800,0x3f146000,0x3f145800,0x3f144800,
0x3f144000,0x3f143800,0x3f142800,0x3f142000,0x3f141800,0x3f140800,0x3f140000,0x3f13f800,
0x3f13e800,0x3f13e000,0x3f13d800,0x3f13c800,0x3f13c000,0x3f13b800,0x3f13a800,0x3f13a000,
0x3f139800,0x3f138800,0x3f138000,0x3f137800,0x3f136800,0x3f136000,0x3f135800,0x3f134800,
0x3f134000,0x3f133800,0x3f132800,0x3f132000,0x3f131800,0x3f130800,0x3f130000,0x3f12f800,
0x3f12e800,0x3f12e000,0x3f12d800,0x3f12d000,0x3f12c000,0x3f12b800,0x3f12b000,0x3f12a000,
0x3f129800,0x3f129000,0x3f128000,0x3f127800,0x3f127000,0x3f126000,0x3f125800,0x3f125000,
0x3f124000,0x3f123800,0x3f123000,0x3f122800,0x3f121800,0x3f121000,0x3f120800,0x3f11f800,
0x3f11f000,0x3f11e800,0x3f11d800,0x3f11d000,0x3f11c800,0x3f11c000,0x3f11b000,0x3f11a800,
0x3f11a000,0x3f119000,0x3f118800,0x3f118000,0x3f117800,0x3f116800,0x3f116000,0x3f115800,
0x3f114800,0x3f114000,0x3f113800,0x3f112800,0x3f112000,0x3f111800,0x3f111000,0x3f110000,
0x3f10f800,0x3f10f000,0x3f10e800,0x3f10d800,0x3f10d000,0x3f10c800,0x3f10b800,0x3f10b000,
0x3f10a800,0x3f10a000,0x3f109000,0x3f108800,0x3f108000,0x3f107000,0x3f106800,0x3f106000,
0x3f105800,0x3f104800,0x3f104000,0x3f103800,0x3f103000,0x3f102000,0x3f101800,0x3f101000,
0x3f100000,0x3f0ff800,0x3f0ff000,0x3f0fe800,0x3f0fd800,0x3f0fd000,0x3f0fc800,0x3f0fc000,
0x3f0fb000,0x3f0fa800,0x3f0fa000,0x3f0f9800,0x3f0f8800,0x3f0f8000,0x3f0f7800,0x3f0f7000,
0x3f0f6000,0x3f0f5800,0x3f0f5000,0x3f0f4800,0x3f0f3800,0x3f0f3000,0x3f0f2800,0x3f0f2000,
0x3f0f1000,0x3f0f0800,0x3f0f0000,0x3f0ef800,0x3f0ee800,0x3f0ee000,0x3f0ed800,0x3f0ed000,
0x3f0ec000,0x3f0eb800,0x3f0eb000,0x3f0ea800,0x3f0e9800,0x3f0e9000,0x3f0e8800,0x3f0e8000,
0x3f0e7000,0x3f0e6800,0x3f0e6000,0x3f0e5800,0x3f0e4800,0x3f0e4000,0x3f0e3800,0x3f0e3000,
0x3f0e2800,0x3f0e1800,0x3f0e1000,0x3f0e0800,0x3f0e0000,0x3f0df000,0x3f0de800,0x3f0de000,
0x3f0dd800,0x3f0dc800,0x3f0dc000,0x3f0db800,0x3f0db000,0x3f0da800,0x3f0d9800,0x3f0d9000,
0x3f0d8800,0x3f0d8000,0x3f0d7000,0x3f0d6800,0x3f0d6000,0x3f0d5800,0x3f0d5000,0x3f0d4000,
0x3f0d3800,0x3f0d3000,0x3f0d2800,0x3f0d1800,0x3f0d1000,0x3f0d0800,0x3f0d0000,0x3f0cf800,
0x3f0ce800,0x3f0ce000,0x3f0cd800,0x3f0cd000,0x3f0cc800,0x3f0cb800,0x3f0cb000,0x3f0ca800,
0x3f0ca000,0x3f0c9800,0x3f0c8800,0x3f0c8000,0x3f0c7800,0x3f0c7000,0x3f0c6000,0x3f0c5800,
0x3f0c5000,0x3f0c4800,0x3f0c4000,0x3f0c3000,0x3f0c2800,0x3f0c2000,0x3f0c1800,0x3f0c1000,
0x3f0c0000,0x3f0bf800,0x3f0bf000,0x3f0be800,0x3f0be000,0x3f0bd800,0x3f0bc800,0x3f0bc000,
0x3f0bb800,0x3f0bb000,0x3f0ba800,0x3f0b9800,0x3f0b9000,0x3f0b8800,0x3f0b8000,0x3f0b7800,
0x3f0b6800,0x3f0b6000,0x3f0b5800,0x3f0b5000,0x3f0b4800,0x3f0b4000,0x3f0b3000,0x3f0b2800,
0x3f0b2000,0x3f0b1800,0x3f0b1000,0x3f0b0000,0x3f0af800,0x3f0af000,0x3f0ae800,0x3f0ae000,
0x3f0ad800,0x3f0ac800,0x3f0ac000,0x3f0ab800,0x3f0ab000,0x3f0aa800,0x3f0a9800,0x3f0a9000,
0x3f0a8800,0x3f0a8000,0x3f0a7800,0x3f0a7000,0x3f0a6000,0x3f0a5800,0x3f0a5000,0x3f0a4800,
0x3f0a4000,0x3f0a3800,0x3f0a2800,0x3f0a2000,0x3f0a1800,0x3f0a1000,0x3f0a0800,0x3f0a0000,
0x3f09f000,0x3f09e800,0x3f09e000,0x3f09d800,0x3f09d000,0x3f09c800,0x3f09c000,0x3f09b000,
0x3f09a800,0x3f09a000,0x3f099800,0x3f099000,0x3f098800,0x3f097800,0x3f097000,0x3f096800,
0x3f096000,0x3f095800,0x3f095000,0x3f094800,0x3f093800,0x3f093000,0x3f092800,0x3f092000,
0x3f091800,0x3f091000,0x3f090000,0x3f08f800,0x3f08f000,0x3f08e800,0x3f08e000,0x3f08d800,
0x3f08d000,0x3f08c000,0x3f08b800,0x3f08b000,0x3f08a800,0x3f08a000,0x3f089800,0x3f089000,
0x3f088000,0x3f087800,0x3f087000,0x3f086800,0x3f086000,0x3f085800,0x3f085000,0x3f084800,
0x3f083800,0x3f083000,0x3f082800,0x3f082000,0x3f081800,0x3f081000,0x3f080800,0x3f080000,
0x3f07f000,0x3f07e800,0x3f07e000,0x3f07d800,0x3f07d000,0x3f07c800,0x3f07c000,0x3f07b000,
0x3f07a800,0x3f07a000,0x3f079800,0x3f079000,0x3f078800,0x3f078000,0x3f077800,0x3f077000,
0x3f076000,0x3f075800,0x3f075000,0x3f074800,0x3f074000,0x3f073800,0x3f073000,0x3f072800,
0x3f071800,0x3f071000,0x3f070800,0x3f070000,0x3f06f800,0x3f06f000,0x3f06e800,0x3f06e000,
0x3f06d800,0x3f06c800,0x3f06c000,0x3f06b800,0x3f06b000,0x3f06a800,0x3f06a000,0x3f069800,
0x3f069000,0x3f068800,0x3f068000,0x3f067000,0x3f066800,0x3f066000,0x3f065800,0x3f065000,
0x3f064800,0x3f064000,0x3f063800,0x3f063000,0x3f062000,0x3f061800,0x3f061000,0x3f060800,
0x3f060000,0x3f05f800,0x3f05f000,0x3f05e800,0x3f05e000,0x3f05d800,0x3f05d000,0x3f05c000,
0x3f05b800,0x3f05b000,0x3f05a800,0x3f05a000,0x3f059800,0x3f059000,0x3f058800,0x3f058000,
0x3f057800,0x3f057000,0x3f056000,0x3f055800,0x3f055000,0x3f054800,0x3f054000,0x3f053800,
0x3f053000,0x3f052800,0x3f052000,0x3f051800,0x3f051000,0x3f050800,0x3f04f800,0x3f04f000,
0x3f04e800,0x3f04e000,0x3f04d800,0x3f04d000,0x3f04c800,0x3f04c000,0x3f04b800,0x3f04b000,
0x3f04a800,0x3f04a000,0x3f049800,0x3f048800,0x3f048000,0x3f047800,0x3f047000,0x3f046800,
0x3f046000,0x3f045800,0x3f045000,0x3f044800,0x3f044000,0x3f043800,0x3f043000,0x3f042800,
0x3f042000,0x3f041800,0x3f040800,0x3f040000,0x3f03f800,0x3f03f000,0x3f03e800,0x3f03e000,
0x3f03d800,0x3f03d000,0x3f03c800,0x3f03c000,0x3f03b800,0x3f03b000,0x3f03a800,0x3f03a000,
0x3f039800,0x3f039000,0x3f038800,0x3f037800,0x3f037000,0x3f036800,0x3f036000,0x3f035800,
0x3f035000,0x3f034800,0x3f034000,0x3f033800,0x3f033000,0x3f032800,0x3f032000,0x3f031800,
0x3f031000,0x3f030800,0x3f030000,0x3f02f800,0x3f02f000,0x3f02e800,0x3f02d800,0x3f02d000,
0x3f02c800,0x3f02c000,0x3f02b800,0x3f02b000,0x3f02a800,0x3f02a000,0x3f029800,0x3f029000,
0x3f028800,0x3f028000,0x3f027800,0x3f027000,0x3f026800,0x3f026000,0x3f025800,0x3f025000,
0x3f024800,0x3f024000,0x3f023800,0x3f023000,0x3f022800,0x3f022000,0x3f021800,0x3f021000,
0x3f020000,0x3f01f800,0x3f01f000,0x3f01e800,0x3f01e000,0x3f01d800,0x3f01d000,0x3f01c800,
0x3f01c000,0x3f01b800,0x3f01b000,0x3f01a800,0x3f01a000,0x3f019800,0x3f019000,0x3f018800,
0x3f018000,0x3f017800,0x3f017000,0x3f016800,0x3f016000,0x3f015800,0x3f015000,0x3f014800,
0x3f014000,0x3f013800,0x3f013000,0x3f012800,0x3f012000,0x3f011800,0x3f011000,0x3f010800,
0x3f010000,0x3f00f800,0x3f00f000,0x3f00e800,0x3f00e000,0x3f00d800,0x3f00d000,0x3f00c800,
0x3f00c000,0x3f00b800,0x3f00b000,0x3f00a800,0x3f00a000,0x3f009800,0x3f009000,0x3f008800,
0x3f008000,0x3f007800,0x3f007000,0x3f006800,0x3f006000,0x3f005800,0x3f005000,0x3f004800,
0x3f004000,0x3f003800,0x3f003000,0x3f002800,0x3f002000,0x3f001800,0x3f001000,0x3f000800
};
static const uint32_t RSQRT_LUT_EVEN[1024] = {
0x3f7ff000,0x3f7fd000,0x3f7fb000,0x3f7f9000,0x3f7f7000,0x3f7f5000,0x3f7f3000,0x3f7f1000,
0x3f7ef000,0x3f7ed000,0x3f7eb000,0x3f7e9000,0x3f7e7000,0x3f7e5800,0x3f7e3800,0x3f7e1800,
0x3f7df800,0x3f7dd800,0x3f7db800,0x3f7d9800,0x3f7d7800,0x3f7d5800,0x3f7d3800,0x3f7d2000,
0x3f7d0000,0x3f7ce000,0x3f7cc000,0x3f7ca000,0x3f7c8000,0x3f7c6000,0x3f7c4800,0x3f7c2800,
0x3f7c0800,0x3f7be800,0x3f7bc800,0x3f7bb000,0x3f7b9000,0x3f7b7000,0x3f7b5000,0x3f7b3000,
0x3f7b1800,0x3f7af800,0x3f7ad800,0x3f7ab800,0x3f7aa000,0x3f7a8000,0x3f7a6000,0x3f7a4000,
0x3f7a2800,0x3f7a0800,0x3f79e800,0x3f79c800,0x3f79b000,0x3f799000,0x3f797000,0x3f795800,
0x3f793800,0x3f791800,0x3f790000,0x3f78e000,0x3f78c000,0x3f78a800,0x3f788800,0x3f786800,
0x3f785000,0x3f783000,0x3f781000,0x3f77f800,0x3f77d800,0x3f77b800,0x3f77a000,0x3f778000,
0x3f776800,0x3f774800,0x3f772800,0x3f771000,0x3f76f000,0x3f76d800,0x3f76b800,0x3f769800,
0x3f768000,0x3f766000,0x3f764800,0x3f762800,0x3f761000,0x3f75f000,0x3f75d000,0x3f75b800,
0x3f759800,0x3f758000,0x3f756000,0x3f754800,0x3f752800,0x3f751000,0x3f74f000,0x3f74d800,
0x3f74b800,0x3f74a000,0x3f748000,0x3f746800,0x3f744800,0x3f743000,0x3f741000,0x3f73f800,
0x3f73d800,0x3f73c000,0x3f73a800,0x3f738800,0x3f737000,0x3f735000,0x3f733800,0x3f731800,
0x3f730000,0x3f72e800,0x3f72c800,0x3f72b000,0x3f729000,0x3f727800,0x3f726000,0x3f724000,
0x3f722800,0x3f720800,0x3f71f000,0x3f71d800,0x3f71b800,0x3f71a000,0x3f718800,0x3f716800,
0x3f715000,0x3f713000,0x3f711800,0x3f710000,0x3f70e000,0x3f70c800,0x3f70b000,0x3f709000,
0x3f707800,0x3f706000,0x3f704800,0x3f702800,0x3f701000,0x3f6ff800,0x3f6fd800,0x3f6fc000,
0x3f6fa800,0x3f6f8800,0x3f6f7000,0x3f6f5800,0x3f6f4000,0x3f6f2000,0x3f6f0800,0x3f6ef000,
0x3f6ed800,0x3f6eb800,0x3f6ea000,0x3f6e8800,0x3f6e7000,0x3f6e5000,0x3f6e3800,0x3f6e2000,
0x3f6e0800,0x3f6df000,0x3f6dd000,0x3f6db800,0x3f6da000,0x3f6d8800,0x3f6d7000,0x3f6d5000,
0x3f6d3800,0x3f6d2000,0x3f6d0800,0x3f6cf000,0x3f6cd800,0x3f6cb800,0x3f6ca000,0x3f6c8800,
0x3f6c7000,0x3f6c5800,0x3f6c4000,0x3f6c2000,0x3f6c0800,0x3f6bf000,0x3f6bd800,0x3f6bc000,
0x3f6ba800,0x3f6b9000,0x3f6b7800,0x3f6b5800,0x3f6b4000,0x3f6b2800,0x3f6b1000,0x3f6af800,
0x3f6ae000,0x3f6ac800,0x3f6ab000,0x3f6a9800,0x3f6a8000,0x3f6a6800,0x3f6a4800,0x3f6a3000,
0x3f6a1800,0x3f6a0000,0x3f69e800,0x3f69d000,0x3f69b800,0x3f69a000,0x3f698800,0x3f697000,
0x3f695800,0x3f694000,0x3f692800,0x3f691000,0x3f68f800,0x3f68e000,0x3f68c800,0x3f68b000,
0x3f689800,0x3f688000,0x3f686800,0x3f685000,0x3f683800,0x3f682000,0x3f680800,0x3f67f000,
0x3f67d800,0x3f67c000,0x3f67a800,0x3f679000,0x3f677800,0x3f676000,0x3f674800,0x3f673000,
0x3f671800,0x3f670000,0x3f66e800,0x3f66d800,0x3f66c000,0x3f66a800,0x3f669000,0x3f667800,
0x3f666000,0x3f664800,0x3f663000,0x3f661800,0x3f660000,0x3f65e800,0x3f65d000,0x3f65c000,
0x3f65a800,0x3f659000,0x3f657800,0x3f656000,0x3f654800,0x3f653000,0x3f651800,0x3f650800,
0x3f64f000,0x3f64d800,0x3f64c000,0x3f64a800,0x3f649000,0x3f647800,0x3f646800,0x3f645000,
0x3f643800,0x3f642000,0x3f640800,0x3f63f000,0x3f63e000,0x3f63c800,0x3f63b000,0x3f639800,
0x3f638000,0x3f637000,0x3f635800,0x3f634000,0x3f632800,0x3f631000,0x3f630000,0x3f62e800,
0x3f62d000,0x3f62b800,0x3f62a000,0x3f629000,0x3f627800,0x3f626000,0x3f624800,0x3f623800,
0x3f622000,0x3f620800,0x3f61f000,0x3f61e000,0x3f61c800,0x3f61b000,0x3f619800,0x3f618800,
0x3f617000,0x3f615800,0x3f614000,0x3f613000,0x3f611800,0x3f610000,0x3f60f000,0x3f60d800,
0x3f60c000,0x3f60a800,0x3f609800,0x3f608000,0x3f606800,0x3f605800,0x3f604000,0x3f602800,
0x3f601800,0x3f600000,0x3f5fe800,0x3f5fd800,0x3f5fc000,0x3f5fa800,0x3f5f9800,0x3f5f8000,
0x3f5f6800,0x3f5f5800,0x3f5f4000,0x3f5f2800,0x3f5f1800,0x3f5f0000,0x3f5ee800,0x3f5ed800,
0x3f5ec000,0x3f5ea800,0x3f5e9800,0x3f5e8000,0x3f5e7000,0x3f5e5800,0x3f5e4000,0x3f5e3000,
0x3f5e1800,0x3f5e0000,0x3f5df000,0x3f5dd800,0x3f5dc800,0x3f5db000,0x3f5d9800,0x3f5d8800,
0x3f5d7000,0x3f5d6000,0x3f5d4800,0x3f5d3800,0x3f5d2000,0x3f5d0800,0x3f5cf800,0x3f5ce000,
0x3f5cd000,0x3f5cb800,0x3f5ca800,0x3f5c9000,0x3f5c7800,0x3f5c6800,0x3f5c5000,0x3f5c4000,
0x3f5c2800,0x3f5c1800,0x3f5c0000,0x3f5bf000,0x3f5bd800,0x3f5bc800,0x3f5bb000,0x3f5b9800,
0x3f5b8800,0x3f5b7000,0x3f5b6000,0x3f5b4800,0x3f5b3800,0x3f5b2000,0x3f5b1000,0x3f5af800,
0x3f5ae800,0x3f5ad000,0x3f5ac000,0x3f5aa800,0x3f5a9800,0x3f5a8000,0x3f5a7000,0x3f5a5800,
0x3f5a4800,0x3f5a3000,0x3f5a2000,0x3f5a0800,0x3f59f800,0x3f59e800,0x3f59d000,0x3f59c000,
0x3f59a800,0x3f599800,0x3f598000,0x3f597000,0x3f595800,0x3f594800,0x3f593000,0x3f592000,
0x3f591000,0x3f58f800,0x3f58e800,0x3f58d000,0x3f58c000,0x3f58a800,0x3f589800,0x3f588800,
0x3f587000,0x3f586000,0x3f584800,0x3f583800,0x3f582800,0x3f581000,0x3f580000,0x3f57e800,
0x3f57d800,0x3f57c800,0x3f57b000,0x3f57a000,0x3f578800,0x3f577800,0x3f576800,0x3f575000,
0x3f574000,0x3f572800,0x3f571800,0x3f570800,0x3f56f000,0x3f56e000,0x3f56d000,0x3f56b800,
0x3f56a800,0x3f569800,0x3f568000,0x3f567000,0x3f565800,0x3f564800,0x3f563800,0x3f562000,
0x3f561000,0x3f560000,0x3f55e800,0x3f55d800,0x3f55c800,0x3f55b000,0x3f55a000,0x3f559000,
0x3f557800,0x3f556800,0x3f555800,0x3f554000,0x3f553000,0x3f552000,0x3f551000,0x3f54f800,
0x3f54e800,0x3f54d800,0x3f54c000,0x3f54b000,0x3f54a000,0x3f548800,0x3f547800,0x3f546800,
0x3f545800,0x3f544000,0x3f543000,0x3f542000,0x3f541000,0x3f53f800,0x3f53e800,0x3f53d800,
0x3f53c000,0x3f53b000,0x3f53a000,0x3f539000,0x3f537800,0x3f536800,0x3f535800,0x3f534800,
0x3f533000,0x3f532000,0x3f531000,0x3f530000,0x3f52e800,0x3f52d800,0x3f52c800,0x3f52b800,
0x3f52a800,0x3f529000,0x3f528000,0x3f527000,0x3f526000,0x3f524800,0x3f523800,0x3f522800,
0x3f521800,0x3f520800,0x3f51f000,0x3f51e000,0x3f51d000,0x3f51c000,0x3f51b000,0x3f519800,
0x3f518800,0x3f517800,0x3f516800,0x3f515800,0x3f514000,0x3f513000,0x3f512000,0x3f511000,
0x3f510000,0x3f50e800,0x3f50d800,0x3f50c800,0x3f50b800,0x3f50a800,0x3f509800,0x3f508000,
0x3f507000,0x3f506000,0x3f505000,0x3f504000,0x3f503000,0x3f502000,0x3f500800,0x3f4ff800,
0x3f4fe800,0x3f4fd800,0x3f4fc800,0x3f4fb800,0x3f4fa800,0x3f4f9000,0x3f4f8000,0x3f4f7000,
0x3f4f6000,0x3f4f5000,0x3f4f4000,0x3f4f3000,0x3f4f2000,0x3f4f0800,0x3f4ef800,0x3f4ee800,
0x3f4ed800,0x3f4ec800,0x3f4eb800,0x3f4ea800,0x3f4e9800,0x3f4e8800,0x3f4e7000,0x3f4e6000,
0x3f4e5000,0x3f4e4000,0x3f4e3000,0x3f4e2000,0x3f4e1000,0x3f4e0000,0x3f4df000,0x3f4de000,
0x3f4dd000,0x3f4db800,0x3f4da800,0x3f4d9800,0x3f4d8800,0x3f4d7800,0x3f4d6800,0x3f4d5800,
0x3f4d4800,0x3f4d3800,0x3f4d2800,0x3f4d1800,0x3f4d0800,0x3f4cf800,0x3f4ce800,0x3f4cd800,
0x3f4cc800,0x3f4cb800,0x3f4ca000,0x3f4c9000,0x3f4c8000,0x3f4c7000,0x3f4c6000,0x3f4c5000,
0x3f4c4000,0x3f4c3000,0x3f4c2000,0x3f4c1000,0x3f4c0000,0x3f4bf000,0x3f4be000,0x3f4bd000,
0x3f4bc000,0x3f4bb000,0x3f4ba000,0x3f4b9000,0x3f4b8000,0x3f4b7000,0x3f4b6000,0x3f4b5000,
0x3f4b4000,0x3f4b3000,0x3f4b2000,0x3f4b1000,0x3f4b0000,0x3f4af000,0x3f4ae000,0x3f4ad000,
0x3f4ac000,0x3f4ab000,0x3f4aa000,0x3f4a9000,0x3f4a8000,0x3f4a7000,0x3f4a6000,0x3f4a5000,
0x3f4a4000,0x3f4a3000,0x3f4a2000,0x3f4a1000,0x3f4a0000,0x3f49f000,0x3f49e000,0x3f49d000,
0x3f49c000,0x3f49b800,0x3f49a800,0x3f499800,0x3f498800,0x3f497800,0x3f496800,0x3f495800,
0x3f494800,0x3f493800,0x3f492800,0x3f491800,0x3f490800,0x3f48f800,0x3f48e800,0x3f48d800,
0x3f48c800,0x3f48b800,0x3f48b000,0x3f48a000,0x3f489000,0x3f488000,0x3f487000,0x3f486000,
0x3f485000,0x3f484000,0x3f483000,0x3f482000,0x3f481000,0x3f480000,0x3f47f800,0x3f47e800,
0x3f47d800,0x3f47c800,0x3f47b800,0x3f47a800,0x3f479800,0x3f478800,0x3f477800,0x3f476800,
0x3f476000,0x3f475000,0x3f474000,0x3f473000,0x3f472000,0x3f471000,0x3f470000,0x3f46f000,
0x3f46e000,0x3f46d800,0x3f46c800,0x3f46b800,0x3f46a800,0x3f469800,0x3f468800,0x3f467800,
0x3f467000,0x3f466000,0x3f465000,0x3f464000,0x3f463000,0x3f462000,0x3f461000,0x3f460800,
0x3f45f800,0x3f45e800,0x3f45d800,0x3f45c800,0x3f45b800,0x3f45a800,0x3f45a000,0x3f459000,
0x3f458000,0x3f457000,0x3f456000,0x3f455000,0x3f454800,0x3f453800,0x3f452800,0x3f451800,
0x3f450800,0x3f44f800,0x3f44f000,0x3f44e000,0x3f44d000,0x3f44c000,0x3f44b000,0x3f44a800,
0x3f449800,0x3f448800,0x3f447800,0x3f446800,0x3f446000,0x3f445000,0x3f444000,0x3f443000,
0x3f442000,0x3f441800,0x3f440800,0x3f43f800,0x3f43e800,0x3f43d800,0x3f43d000,0x3f43c000,
0x3f43b000,0x3f43a000,0x3f439000,0x3f438800,0x3f437800,0x3f436800,0x3f435800,0x3f435000,
0x3f434000,0x3f433000,0x3f432000,0x3f431000,0x3f430800,0x3f42f800,0x3f42e800,0x3f42d800,
0x3f42d000,0x3f42c000,0x3f42b000,0x3f42a000,0x3f429800,0x3f428800,0x3f427800,0x3f426800,
0x3f426000,0x3f425000,0x3f424000,0x3f423000,0x3f422800,0x3f421800,0x3f420800,0x3f41f800,
0x3f41f000,0x3f41e000,0x3f41d000,0x3f41c000,0x3f41b800,0x3f41a800,0x3f419800,0x3f418800,
0x3f418000,0x3f417000,0x3f416000,0x3f415800,0x3f414800,0x3f413800,0x3f412800,0x3f412000,
0x3f411000,0x3f410000,0x3f40f800,0x3f40e800,0x3f40d800,0x3f40c800,0x3f40c000,0x3f40b000,
0x3f40a000,0x3f409800,0x3f408800,0x3f407800,0x3f406800,0x3f406000,0x3f405000,0x3f404000,
0x3f403800,0x3f402800,0x3f401800,0x3f401000,0x3f400000,0x3f3ff000,0x3f3fe800,0x3f3fd800,
0x3f3fc800,0x3f3fb800,0x3f3fb000,0x3f3fa000,0x3f3f9000,0x3f3f8800,0x3f3f7800,0x3f3f6800,
0x3f3f6000,0x3f3f5000,0x3f3f4000,0x3f3f3800,0x3f3f2800,0x3f3f1800,0x3f3f1000,0x3f3f0000,
0x3f3ef000,0x3f3ee800,0x3f3ed800,0x3f3ec800,0x3f3ec000,0x3f3eb000,0x3f3ea000,0x3f3e9800,
0x3f3e8800,0x3f3e8000,0x3f3e7000,0x3f3e6000,0x3f3e5800,0x3f3e4800,0x3f3e3800,0x3f3e3000,
0x3f3e2000,0x3f3e1000,0x3f3e0800,0x3f3df800,0x3f3df000,0x3f3de000,0x3f3dd000,0x3f3dc800,
0x3f3db800,0x3f3da800,0x3f3da000,0x3f3d9000,0x3f3d8000,0x3f3d7800,0x3f3d6800,0x3f3d6000,
0x3f3d5000,0x3f3d4000,0x3f3d3800,0x3f3d2800,0x3f3d2000,0x3f3d1000,0x3f3d0000,0x3f3cf800,
0x3f3ce800,0x3f3cd800,0x3f3cd000,0x3f3cc000,0x3f3cb800,0x3f3ca800,0x3f3c9800,0x3f3c9000,
0x3f3c8000,0x3f3c7800,0x3f3c6800,0x3f3c5800,0x3f3c5000,0x3f3c4000,0x3f3c3800,0x3f3c2800,
0x3f3c2000,0x3f3c1000,0x3f3c0000,0x3f3bf800,0x3f3be800,0x3f3be000,0x3f3bd000,0x3f3bc000,
0x3f3bb800,0x3f3ba800,0x3f3ba000,0x3f3b9000,0x3f3b8800,0x3f3b7800,0x3f3b6800,0x3f3b6000,
0x3f3b5000,0x3f3b4800,0x3f3b3800,0x3f3b3000,0x3f3b2000,0x3f3b1000,0x3f3b0800,0x3f3af800,
0x3f3af000,0x3f3ae000,0x3f3ad800,0x3f3ac800,0x3f3ac000,0x3f3ab000,0x3f3aa000,0x3f3a9800,
0x3f3a8800,0x3f3a8000,0x3f3a7000,0x3f3a6800,0x3f3a5800,0x3f3a5000,0x3f3a4000,0x3f3a3800,
0x3f3a2800,0x3f3a2000,0x3f3a1000,0x3f3a0000,0x3f39f800,0x3f39e800,0x3f39e000,0x3f39d000,
0x3f39c800,0x3f39b800,0x3f39b000,0x3f39a000,0x3f399800,0x3f398800,0x3f398000,0x3f397000,
0x3f396800,0x3f395800,0x3f395000,0x3f394000,0x3f393800,0x3f392800,0x3f391800,0x3f391000,
0x3f390000,0x3f38f800,0x3f38e800,0x3f38e000,0x3f38d000,0x3f38c800,0x3f38b800,0x3f38b000,
0x3f38a000,0x3f389800,0x3f388800,0x3f388000,0x3f387000,0x3f386800,0x3f385800,0x3f385000,
0x3f384000,0x3f383800,0x3f382800,0x3f382000,0x3f381800,0x3f380800,0x3f380000,0x3f37f000,
0x3f37e800,0x3f37d800,0x3f37d000,0x3f37c000,0x3f37b800,0x3f37a800,0x3f37a000,0x3f379000,
0x3f378800,0x3f377800,0x3f377000,0x3f376000,0x3f375800,0x3f374800,0x3f374000,0x3f373000,
0x3f372800,0x3f372000,0x3f371000,0x3f370800,0x3f36f800,0x3f36f000,0x3f36e000,0x3f36d800,
0x3f36c800,0x3f36c000,0x3f36b000,0x3f36a800,0x3f369800,0x3f369000,0x3f368800,0x3f367800,
0x3f367000,0x3f366000,0x3f365800,0x3f364800,0x3f364000,0x3f363000,0x3f362800,0x3f362000,
0x3f361000,0x3f360800,0x3f35f800,0x3f35f000,0x3f35e000,0x3f35d800,0x3f35d000,0x3f35c000,
0x3f35b800,0x3f35a800,0x3f35a000,0x3f359000,0x3f358800,0x3f358000,0x3f357000,0x3f356800,
0x3f355800,0x3f355000,0x3f354000,0x3f353800,0x3f353000,0x3f352000,0x3f351800,0x3f350800
};
static const uint32_t RSQRT_LUT_ODD[1024] = {
0x3f34f800,0x3f34e000,0x3f34d000,0x3f34b800,0x3f34a000,0x3f348800,0x3f347000,0x3f346000,
0x3f344800,0x3f343000,0x3f341800,0x3f340000,0x3f33f000,0x3f33d800,0x3f33c000,0x3f33a800,
0x3f339800,0x3f338000,0x3f336800,0x3f335000,0x3f333800,0x3f332800,0x3f331000,0x3f32f800,
0x3f32e800,0x3f32d000,0x3f32b800,0x3f32a000,0x3f329000,0x3f327800,0x3f326000,0x3f325000,
0x3f323800,0x3f322000,0x3f320800,0x3f31f800,0x3f31e000,0x3f31c800,0x3f31b800,0x3f31a000,
0x3f318800,0x3f317800,0x3f316000,0x3f314800,0x3f313800,0x3f312000,0x3f310800,0x3f30f800,
0x3f30e000,0x3f30c800,0x3f30b800,0x3f30a000,0x3f309000,0x3f307800,0x3f306000,0x3f305000,
0x3f303800,0x3f302800,0x3f301000,0x3f2ff800,0x3f2fe800,0x3f2fd000,0x3f2fc000,0x3f2fa800,
0x3f2f9000,0x3f2f8000,0x3f2f6800,0x3f2f5800,0x3f2f4000,0x3f2f3000,0x3f2f1800,0x3f2f0000,
0x3f2ef000,0x3f2ed800,0x3f2ec800,0x3f2eb000,0x3f2ea000,0x3f2e8800,0x3f2e7800,0x3f2e6000,
0x3f2e5000,0x3f2e3800,0x3f2e2000,0x3f2e1000,0x3f2df800,0x3f2de800,0x3f2dd000,0x3f2dc000,
0x3f2da800,0x3f2d9800,0x3f2d8000,0x3f2d7000,0x3f2d5800,0x3f2d4800,0x3f2d3800,0x3f2d2000,
0x3f2d1000,0x3f2cf800,0x3f2ce800,0x3f2cd000,0x3f2cc000,0x3f2ca800,0x3f2c9800,0x3f2c8000,
0x3f2c7000,0x3f2c5800,0x3f2c4800,0x3f2c3800,0x3f2c2000,0x3f2c1000,0x3f2bf800,0x3f2be800,
0x3f2bd000,0x3f2bc000,0x3f2bb000,0x3f2b9800,0x3f2b8800,0x3f2b7000,0x3f2b6000,0x3f2b5000,
0x3f2b3800,0x3f2b2800,0x3f2b1000,0x3f2b0000,0x3f2af000,0x3f2ad800,0x3f2ac800,0x3f2ab800,
0x3f2aa000,0x3f2a9000,0x3f2a7800,0x3f2a6800,0x3f2a5800,0x3f2a4000,0x3f2a3000,0x3f2a2000,
0x3f2a0800,0x3f29f800,0x3f29e800,0x3f29d000,0x3f29c000,0x3f29b000,0x3f299800,0x3f298800,
0x3f297800,0x3f296000,0x3f295000,0x3f294000,0x3f292800,0x3f291800,0x3f290800,0x3f28f000,
0x3f28e000,0x3f28d000,0x3f28c000,0x3f28a800,0x3f289800,0x3f288800,0x3f287000,0x3f286000,
0x3f285000,0x3f284000,0x3f282800,0x3f281800,0x3f280800,0x3f27f800,0x3f27e000,0x3f27d000,
0x3f27c000,0x3f27b000,0x3f279800,0x3f278800,0x3f277800,0x3f276800,0x3f275000,0x3f274000,
0x3f273000,0x3f272000,0x3f270800,0x3f26f800,0x3f26e800,0x3f26d800,0x3f26c800,0x3f26b000,
0x3f26a000,0x3f269000,0x3f268000,0x3f267000,0x3f265800,0x3f264800,0x3f263800,0x3f262800,
0x3f261800,0x3f260000,0x3f25f000,0x3f25e000,0x3f25d000,0x3f25c000,0x3f25b000,0x3f259800,
0x3f258800,0x3f257800,0x3f256800,0x3f255800,0x3f254800,0x3f253000,0x3f252000,0x3f251000,
0x3f250000,0x3f24f000,0x3f24e000,0x3f24d000,0x3f24b800,0x3f24a800,0x3f249800,0x3f248800,
0x3f247800,0x3f246800,0x3f245800,0x3f244800,0x3f243000,0x3f242000,0x3f241000,0x3f240000,
0x3f23f000,0x3f23e000,0x3f23d000,0x3f23c000,0x3f23b000,0x3f23a000,0x3f238800,0x3f237800,
0x3f236800,0x3f235800,0x3f234800,0x3f233800,0x3f232800,0x3f231800,0x3f230800,0x3f22f800,
0x3f22e800,0x3f22d800,0x3f22c800,0x3f22b800,0x3f22a800,0x3f229000,0x3f228000,0x3f227000,
0x3f226000,0x3f225000,0x3f224000,0x3f223000,0x3f222000,0x3f221000,0x3f220000,0x3f21f000,
0x3f21e000,0x3f21d000,0x3f21c000,0x3f21b000,0x3f21a000,0x3f219000,0x3f218000,0x3f217000,
0x3f216000,0x3f215000,0x3f214000,0x3f213000,0x3f212000,0x3f211000,0x3f210000,0x3f20f000,
0x3f20e000,0x3f20d000,0x3f20c000,0x3f20b000,0x3f20a000,0x3f209000,0x3f208000,0x3f207000,
0x3f206000,0x3f205000,0x3f204000,0x3f203000,0x3f202000,0x3f201000,0x3f200000,0x3f1ff000,
0x3f1fe800,0x3f1fd800,0x3f1fc800,0x3f1fb800,0x3f1fa800,0x3f1f9800,0x3f1f8800,0x3f1f7800,
0x3f1f6800,0x3f1f5800,0x3f1f4800,0x3f1f3800,0x3f1f2800,0x3f1f1800,0x3f1f0800,0x3f1f0000,
0x3f1ef000,0x3f1ee000,0x3f1ed000,0x3f1ec000,0x3f1eb000,0x3f1ea000,0x3f1e9000,0x3f1e8000,
0x3f1e7000,0x3f1e6000,0x3f1e5800,0x3f1e4800,0x3f1e3800,0x3f1e2800,0x3f1e1800,0x3f1e0800,
0x3f1df800,0x3f1de800,0x3f1de000,0x3f1dd000,0x3f1dc000,0x3f1db000,0x3f1da000,0x3f1d9000,
0x3f1d8000,0x3f1d7000,0x3f1d6800,0x3f1d5800,0x3f1d4800,0x3f1d3800,0x3f1d2800,0x3f1d1800,
0x3f1d0800,0x3f1d0000,0x3f1cf000,0x3f1ce000,0x3f1cd000,0x3f1cc000,0x3f1cb000,0x3f1ca800,
0x3f1c9800,0x3f1c8800,0x3f1c7800,0x3f1c6800,0x3f1c5800,0x3f1c5000,0x3f1c4000,0x3f1c3000,
0x3f1c2000,0x3f1c1000,0x3f1c0800,0x3f1bf800,0x3f1be800,0x3f1bd800,0x3f1bc800,0x3f1bc000,
0x3f1bb000,0x3f1ba000,0x3f1b9000,0x3f1b8000,0x3f1b7800,0x3f1b6800,0x3f1b5800,0x3f1b4800,
0x3f1b3800,0x3f1b3000,0x3f1b2000,0x3f1b1000,0x3f1b0000,0x3f1af000,0x3f1ae800,0x3f1ad800,
0x3f1ac800,0x3f1ab800,0x3f1ab000,0x3f1aa000,0x3f1a9000,0x3f1a8000,0x3f1a7800,0x3f1a6800,
0x3f1a5800,0x3f1a4800,0x3f1a4000,0x3f1a3000,0x3f1a2000,0x3f1a1000,0x3f1a0800,0x3f19f800,
0x3f19e800,0x3f19d800,0x3f19d000,0x3f19c000,0x3f19b000,0x3f19a000,0x3f199800,0x3f198800,
0x3f197800,0x3f197000,0x3f196000,0x3f195000,0x3f194000,0x3f193800,0x3f192800,0x3f191800,
0x3f191000,0x3f190000,0x3f18f000,0x3f18e000,0x3f18d800,0x3f18c800,0x3f18b800,0x3f18b000,
0x3f18a000,0x3f189000,0x3f188800,0x3f187800,0x3f186800,0x3f185800,0x3f185000,0x3f184000,
0x3f183000,0x3f182800,0x3f181800,0x3f180800,0x3f180000,0x3f17f000,0x3f17e000,0x3f17d800,
0x3f17c800,0x3f17b800,0x3f17b000,0x3f17a000,0x3f179000,0x3f178800,0x3f177800,0x3f176800,
0x3f176000,0x3f175000,0x3f174000,0x3f173800,0x3f172800,0x3f171800,0x3f171000,0x3f170000,
0x3f16f800,0x3f16e800,0x3f16d800,0x3f16d000,0x3f16c000,0x3f16b000,0x3f16a800,0x3f169800,
0x3f168800,0x3f168000,0x3f167000,0x3f166800,0x3f165800,0x3f164800,0x3f164000,0x3f163000,
0x3f162800,0x3f161800,0x3f160800,0x3f160000,0x3f15f000,0x3f15e000,0x3f15d800,0x3f15c800,
0x3f15c000,0x3f15b000,0x3f15a000,0x3f159800,0x3f158800,0x3f158000,0x3f157000,0x3f156000,
0x3f155800,0x3f154800,0x3f154000,0x3f153000,0x3f152800,0x3f151800,0x3f150800,0x3f150000,
0x3f14f000,0x3f14e800,0x3f14d800,0x3f14d000,0x3f14c000,0x3f14b000,0x3f14a800,0x3f149800,
0x3f149000,0x3f148000,0x3f147800,0x3f146800,0x3f145800,0x3f145000,0x3f144000,0x3f143800,
0x3f142800,0x3f142000,0x3f141000,0x3f140800,0x3f13f800,0x3f13f000,0x3f13e000,0x3f13d000,
0x3f13c800,0x3f13b800,0x3f13b000,0x3f13a000,0x3f139800,0x3f138800,0x3f138000,0x3f137000,
0x3f136800,0x3f135800,0x3f135000,0x3f134000,0x3f133800,0x3f132800,0x3f131800,0x3f131000,
0x3f130000,0x3f12f800,0x3f12e800,0x3f12e000,0x3f12d000,0x3f12c800,0x3f12b800,0x3f12b000,
0x3f12a000,0x3f129800,0x3f128800,0x3f128000,0x3f127000,0x3f126800,0x3f125800,0x3f125000,
0x3f124000,0x3f123800,0x3f122800,0x3f122000,0x3f121000,0x3f120800,0x3f11f800,0x3f11f000,
0x3f11e800,0x3f11d800,0x3f11d000,0x3f11c000,0x3f11b800,0x3f11a800,0x3f11a000,0x3f119000,
0x3f118800,0x3f117800,0x3f117000,0x3f116000,0x3f115800,0x3f114800,0x3f114000,0x3f113000,
0x3f112800,0x3f112000,0x3f111000,0x3f110800,0x3f10f800,0x3f10f000,0x3f10e000,0x3f10d800,
0x3f10c800,0x3f10c000,0x3f10b000,0x3f10a800,0x3f10a000,0x3f109000,0x3f108800,0x3f107800,
0x3f107000,0x3f106000,0x3f105800,0x3f105000,0x3f104000,0x3f103800,0x3f102800,0x3f102000,
0x3f101000,0x3f100800,0x3f100000,0x3f0ff000,0x3f0fe800,0x3f0fd800,0x3f0fd000,0x3f0fc000,
0x3f0fb800,0x3f0fb000,0x3f0fa000,0x3f0f9800,0x3f0f8800,0x3f0f8000,0x3f0f7800,0x3f0f6800,
0x3f0f6000,0x3f0f5000,0x3f0f4800,0x3f0f4000,0x3f0f3000,0x3f0f2800,0x3f0f1800,0x3f0f1000,
0x3f0f0800,0x3f0ef800,0x3f0ef000,0x3f0ee000,0x3f0ed800,0x3f0ed000,0x3f0ec000,0x3f0eb800,
0x3f0ea800,0x3f0ea000,0x3f0e9800,0x3f0e8800,0x3f0e8000,0x3f0e7800,0x3f0e6800,0x3f0e6000,
0x3f0e5000,0x3f0e4800,0x3f0e4000,0x3f0e3000,0x3f0e2800,0x3f0e2000,0x3f0e1000,0x3f0e0800,
0x3f0df800,0x3f0df000,0x3f0de800,0x3f0dd800,0x3f0dd000,0x3f0dc800,0x3f0db800,0x3f0db000,
0x3f0da800,0x3f0d9800,0x3f0d9000,0x3f0d8000,0x3f0d7800,0x3f0d7000,0x3f0d6000,0x3f0d5800,
0x3f0d5000,0x3f0d4000,0x3f0d3800,0x3f0d3000,0x3f0d2000,0x3f0d1800,0x3f0d1000,0x3f0d0000,
0x3f0cf800,0x3f0cf000,0x3f0ce000,0x3f0cd800,0x3f0cd000,0x3f0cc000,0x3f0cb800,0x3f0cb000,
0x3f0ca000,0x3f0c9800,0x3f0c9000,0x3f0c8000,0x3f0c7800,0x3f0c7000,0x3f0c6000,0x3f0c5800,
0x3f0c5000,0x3f0c4000,0x3f0c3800,0x3f0c3000,0x3f0c2800,0x3f0c1800,0x3f0c1000,0x3f0c0800,
0x3f0bf800,0x3f0bf000,0x3f0be800,0x3f0bd800,0x3f0bd000,0x3f0bc800,0x3f0bb800,0x3f0bb000,
0x3f0ba800,0x3f0ba000,0x3f0b9000,0x3f0b8800,0x3f0b8000,0x3f0b7000,0x3f0b6800,0x3f0b6000,
0x3f0b5800,0x3f0b4800,0x3f0b4000,0x3f0b3800,0x3f0b2800,0x3f0b2000,0x3f0b1800,0x3f0b1000,
0x3f0b0000,0x3f0af800,0x3f0af000,0x3f0ae000,0x3f0ad800,0x3f0ad000,0x3f0ac800,0x3f0ab800,
0x3f0ab000,0x3f0aa800,0x3f0a9800,0x3f0a9000,0x3f0a8800,0x3f0a8000,0x3f0a7000,0x3f0a6800,
0x3f0a6000,0x3f0a5800,0x3f0a4800,0x3f0a4000,0x3f0a3800,0x3f0a3000,0x3f0a2000,0x3f0a1800,
0x3f0a1000,0x3f0a0800,0x3f09f800,0x3f09f000,0x3f09e800,0x3f09e000,0x3f09d000,0x3f09c800,
0x3f09c000,0x3f09b800,0x3f09a800,0x3f09a000,0x3f099800,0x3f099000,0x3f098000,0x3f097800,
0x3f097000,0x3f096800,0x3f095800,0x3f095000,0x3f094800,0x3f094000,0x3f093000,0x3f092800,
0x3f092000,0x3f091800,0x3f091000,0x3f090000,0x3f08f800,0x3f08f000,0x3f08e800,0x3f08d800,
0x3f08d000,0x3f08c800,0x3f08c000,0x3f08b800,0x3f08a800,0x3f08a000,0x3f089800,0x3f089000,
0x3f088000,0x3f087800,0x3f087000,0x3f086800,0x3f086000,0x3f085000,0x3f084800,0x3f084000,
0x3f083800,0x3f083000,0x3f082000,0x3f081800,0x3f081000,0x3f080800,0x3f080000,0x3f07f000,
0x3f07e800,0x3f07e000,0x3f07d800,0x3f07d000,0x3f07c000,0x3f07b800,0x3f07b000,0x3f07a800,
0x3f07a000,0x3f079000,0x3f078800,0x3f078000,0x3f077800,0x3f077000,0x3f076800,0x3f075800,
0x3f075000,0x3f074800,0x3f074000,0x3f073800,0x3f072800,0x3f072000,0x3f071800,0x3f071000,
0x3f070800,0x3f070000,0x3f06f000,0x3f06e800,0x3f06e000,0x3f06d800,0x3f06d000,0x3f06c800,
0x3f06b800,0x3f06b000,0x3f06a800,0x3f06a000,0x3f069800,0x3f069000,0x3f068000,0x3f067800,
0x3f067000,0x3f066800,0x3f066000,0x3f065800,0x3f064800,0x3f064000,0x3f063800,0x3f063000,
0x3f062800,0x3f062000,0x3f061800,0x3f060800,0x3f060000,0x3f05f800,0x3f05f000,0x3f05e800,
0x3f05e000,0x3f05d800,0x3f05c800,0x3f05c000,0x3f05b800,0x3f05b000,0x3f05a800,0x3f05a000,
0x3f059800,0x3f058800,0x3f058000,0x3f057800,0x3f057000,0x3f056800,0x3f056000,0x3f055800,
0x3f054800,0x3f054000,0x3f053800,0x3f053000,0x3f052800,0x3f052000,0x3f051800,0x3f051000,
0x3f050000,0x3f04f800,0x3f04f000,0x3f04e800,0x3f04e000,0x3f04d800,0x3f04d000,0x3f04c800,
0x3f04c000,0x3f04b000,0x3f04a800,0x3f04a000,0x3f049800,0x3f049000,0x3f048800,0x3f048000,
0x3f047800,0x3f047000,0x3f046000,0x3f045800,0x3f045000,0x3f044800,0x3f044000,0x3f043800,
0x3f043000,0x3f042800,0x3f042000,0x3f041000,0x3f040800,0x3f040000,0x3f03f800,0x3f03f000,
0x3f03e800,0x3f03e000,0x3f03d800,0x3f03d000,0x3f03c800,0x3f03c000,0x3f03b000,0x3f03a800,
0x3f03a000,0x3f039800,0x3f039000,0x3f038800,0x3f038000,0x3f037800,0x3f037000,0x3f036800,
0x3f036000,0x3f035800,0x3f034800,0x3f034000,0x3f033800,0x3f033000,0x3f032800,0x3f032000,
0x3f031800,0x3f031000,0x3f030800,0x3f030000,0x3f02f800,0x3f02f000,0x3f02e800,0x3f02d800,
0x3f02d000,0x3f02c800,0x3f02c000,0x3f02b800,0x3f02b000,0x3f02a800,0x3f02a000,0x3f029800,
0x3f029000,0x3f028800,0x3f028000,0x3f027800,0x3f027000,0x3f026800,0x3f026000,0x3f025000,
0x3f024800,0x3f024000,0x3f023800,0x3f023000,0x3f022800,0x3f022000,0x3f021800,0x3f021000,
0x3f020800,0x3f020000,0x3f01f800,0x3f01f000,0x3f01e800,0x3f01e000,0x3f01d800,0x3f01d000,
0x3f01c800,0x3f01c000,0x3f01b800,0x3f01b000,0x3f01a000,0x3f019800,0x3f019000,0x3f018800,
0x3f018000,0x3f017800,0x3f017000,0x3f016800,0x3f016000,0x3f015800,0x3f015000,0x3f014800,
0x3f014000,0x3f013800,0x3f013000,0x3f012800,0x3f012000,0x3f011800,0x3f011000,0x3f010800,
0x3f010000,0x3f00f800,0x3f00f000,0x3f00e800,0x3f00e000,0x3f00d800,0x3f00d000,0x3f00c800,
0x3f00c000,0x3f00b800,0x3f00b000,0x3f00a800,0x3f00a000,0x3f009800,0x3f009000,0x3f008800,
0x3f008000,0x3f007800,0x3f007000,0x3f006800,0x3f006000,0x3f005800,0x3f005000,0x3f004800,
0x3f004000,0x3f003800,0x3f003000,0x3f002800,0x3f002000,0x3f001800,0x3f001000,0x3f000800
};
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