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// ============================================================================
//        __
//   \\__/ o\    (C) 2017-2019  Robert Finch, Waterloo
//    \  __ /    All rights reserved.
//     \/_//     robfinch<remove>@finitron.ca
//       ||
//
//      fpRsqrte.v
//              - reciprocal square root estimate
//
//
// This source file is free software: you can redistribute it and/or modify 
// it under the terms of the GNU Lesser General Public License as published 
// by the Free Software Foundation, either version 3 of the License, or     
// (at your option) any later version.                                      
//                                                                          
// This source file is distributed in the hope that it will be useful,      
// but WITHOUT ANY WARRANTY; without even the implied warranty of           
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the            
// GNU General Public License for more details.                             
//                                                                          
// You should have received a copy of the GNU General Public License        
// along with this program.  If not, see <http://www.gnu.org/licenses/>.    
//
//
// ============================================================================

`include "fpConfig.sv"
`include "fp_defines.v"

`define POINT5                  32'h3F000000
`define ONEPOINT5               32'h3FC00000
`define FRSQRTE_MAGIC           32'h5f3759df

//`define RSQRT_SM              1'b1
`define RSQRT_TBL               1'b1

module fpRsqrte(clk, ce, ld, a, o);
parameter FPWID = 80;
`include "fpSize.sv"
input clk;
input ce;
input ld;
input [MSB:0] a;
output reg [MSB:0] o;

// An implementation of the approximation used in the Quake game.

wire [31:0] x2, x2yy, x2yy1p5;
wire [31:0] y, yy;
`ifdef RSQRT_TBL
// Reciprocal square root estimate using lookup table.

reg [15:0] RsqrteLUT2 [0:67];
reg [15:0] RsqrteLUT [0:8191];

initial begin
// This table stores the top 17 bits of the reciprocal square root estimate.
// (The sign bit is not stored).
// This table has two purposes. 1) The first 8129 entries of a 16k word lookup
// table are all infinity values, since they are the reciprocal of really
// small numbers. That means there's no real need to store those values in a
// lookup table. However that leaves about 64 "extra" values beyond what an
// 8192 entry lookup table could hold. So these values are stored in a smaller
// 68-entry lookup table. 2) A handful of values require the MSB of the
// exponent to be set. They won't fit in the 8192 entry table. Fortunately
// there are only four values like that.
// 
RsqrteLUT2[0] = 16'h7f84;
RsqrteLUT2[1] = 16'h7f88;
RsqrteLUT2[2] = 16'h7f8c;
RsqrteLUT2[3] = 16'h7f90;
RsqrteLUT2[4] = 16'h7f94;
RsqrteLUT2[5] = 16'h7f98;
RsqrteLUT2[6] = 16'h7f9c;
RsqrteLUT2[7] = 16'h7fa0;
RsqrteLUT2[8] = 16'h7fa4;
RsqrteLUT2[9] = 16'h7fa8;
RsqrteLUT2[10] = 16'h7fac;
RsqrteLUT2[11] = 16'h7fb0;
RsqrteLUT2[12] = 16'h7fb4;
RsqrteLUT2[13] = 16'h7fb8;
RsqrteLUT2[14] = 16'h7fbc;
RsqrteLUT2[15] = 16'h7fc0;
RsqrteLUT2[16] = 16'h7fc4;
RsqrteLUT2[17] = 16'h7fc8;
RsqrteLUT2[18] = 16'h7fcc;
RsqrteLUT2[19] = 16'h7fd0;
RsqrteLUT2[20] = 16'h7fd4;
RsqrteLUT2[21] = 16'h7fd8;
RsqrteLUT2[22] = 16'h7fdc;
RsqrteLUT2[23] = 16'h7fe0;
RsqrteLUT2[24] = 16'h7fe4;
RsqrteLUT2[25] = 16'h7fe8;
RsqrteLUT2[26] = 16'h7fec;
RsqrteLUT2[27] = 16'h7ff0;
RsqrteLUT2[28] = 16'h7ff4;
RsqrteLUT2[29] = 16'h7ff8;
RsqrteLUT2[30] = 16'h7ffc;
RsqrteLUT2[31] = 16'h7f80;
RsqrteLUT2[32] = 16'h7f84;
RsqrteLUT2[33] = 16'h7f88;
RsqrteLUT2[34] = 16'h7f8c;
RsqrteLUT2[35] = 16'h7f90;
RsqrteLUT2[36] = 16'h7f94;
RsqrteLUT2[37] = 16'h7f98;
RsqrteLUT2[38] = 16'h7f9c;
RsqrteLUT2[39] = 16'h7fa0;
RsqrteLUT2[40] = 16'h7fa4;
RsqrteLUT2[41] = 16'h7fa8;
RsqrteLUT2[42] = 16'h7fac;
RsqrteLUT2[43] = 16'h7fb0;
RsqrteLUT2[44] = 16'h7fb4;
RsqrteLUT2[45] = 16'h7fb8;
RsqrteLUT2[46] = 16'h7fbc;
RsqrteLUT2[47] = 16'h7fc0;
RsqrteLUT2[48] = 16'h7fc4;
RsqrteLUT2[49] = 16'h7fc8;
RsqrteLUT2[50] = 16'h7fcc;
RsqrteLUT2[51] = 16'h7fd0;
RsqrteLUT2[52] = 16'h7fd4;
RsqrteLUT2[53] = 16'h7fd8;
RsqrteLUT2[54] = 16'h7fdc;
RsqrteLUT2[55] = 16'h7fe0;
RsqrteLUT2[56] = 16'h7fe4;
RsqrteLUT2[57] = 16'h7fe8;
RsqrteLUT2[58] = 16'h7fec;
RsqrteLUT2[59] = 16'h7ff0;
RsqrteLUT2[60] = 16'h7ff4;
RsqrteLUT2[61] = 16'h7ff8;
RsqrteLUT2[62] = 16'h7ffc;
RsqrteLUT2[63] = 16'h7f00;
RsqrteLUT2[64] = 16'h8100;
RsqrteLUT2[65] = 16'h806a;
RsqrteLUT2[66] = 16'h8027;
RsqrteLUT2[67] = 16'h8000;
// This table stores the top 18 bits of the reciprocal square root estimate
// for 32-bit single precision values. The sign bit is not stored. Also the
// MSB of the exponent is not stored (for this table it's always zero). That
// allows the top 9 bits of the mantissa to be stored. The final result won't
// be accurate to more than six bits however, as that is the number of bits
// from the mantissa used to lookup the result.
RsqrteLUT[5] = 16'hff93;
RsqrteLUT[6] = 16'hff44;
RsqrteLUT[7] = 16'hff06;
RsqrteLUT[8] = 16'hfed4;
RsqrteLUT[9] = 16'hfeaa;
RsqrteLUT[10] = 16'hfe87;
RsqrteLUT[11] = 16'hfe69;
RsqrteLUT[12] = 16'hfe4f;
RsqrteLUT[13] = 16'hfe38;
RsqrteLUT[14] = 16'hfe23;
RsqrteLUT[15] = 16'hfe10;
RsqrteLUT[16] = 16'hfe00;
RsqrteLUT[17] = 16'hfde1;
RsqrteLUT[18] = 16'hfdc5;
RsqrteLUT[19] = 16'hfdab;
RsqrteLUT[20] = 16'hfd93;
RsqrteLUT[21] = 16'hfd7d;
RsqrteLUT[22] = 16'hfd69;
RsqrteLUT[23] = 16'hfd56;
RsqrteLUT[24] = 16'hfd44;
RsqrteLUT[25] = 16'hfd33;
RsqrteLUT[26] = 16'hfd23;
RsqrteLUT[27] = 16'hfd14;
RsqrteLUT[28] = 16'hfd06;
RsqrteLUT[29] = 16'hfcf8;
RsqrteLUT[30] = 16'hfceb;
RsqrteLUT[31] = 16'hfcdf;
RsqrteLUT[32] = 16'hfcd4;
RsqrteLUT[33] = 16'hfcc9;
RsqrteLUT[34] = 16'hfcbe;
RsqrteLUT[35] = 16'hfcb4;
RsqrteLUT[36] = 16'hfcaa;
RsqrteLUT[37] = 16'hfca1;
RsqrteLUT[38] = 16'hfc98;
RsqrteLUT[39] = 16'hfc8f;
RsqrteLUT[40] = 16'hfc87;
RsqrteLUT[41] = 16'hfc7f;
RsqrteLUT[42] = 16'hfc78;
RsqrteLUT[43] = 16'hfc70;
RsqrteLUT[44] = 16'hfc69;
RsqrteLUT[45] = 16'hfc62;
RsqrteLUT[46] = 16'hfc5b;
RsqrteLUT[47] = 16'hfc55;
RsqrteLUT[48] = 16'hfc4f;
RsqrteLUT[49] = 16'hfc49;
RsqrteLUT[50] = 16'hfc43;
RsqrteLUT[51] = 16'hfc3d;
RsqrteLUT[52] = 16'hfc38;
RsqrteLUT[53] = 16'hfc32;
RsqrteLUT[54] = 16'hfc2d;
RsqrteLUT[55] = 16'hfc28;
RsqrteLUT[56] = 16'hfc23;
RsqrteLUT[57] = 16'hfc1e;
RsqrteLUT[58] = 16'hfc19;
RsqrteLUT[59] = 16'hfc15;
RsqrteLUT[60] = 16'hfc10;
RsqrteLUT[61] = 16'hfc0c;
RsqrteLUT[62] = 16'hfc08;
RsqrteLUT[63] = 16'hfc04;
RsqrteLUT[64] = 16'hfc00;
RsqrteLUT[65] = 16'hfbf8;
RsqrteLUT[66] = 16'hfbf0;
RsqrteLUT[67] = 16'hfbe8;
RsqrteLUT[68] = 16'hfbe1;
RsqrteLUT[69] = 16'hfbda;
RsqrteLUT[70] = 16'hfbd3;
RsqrteLUT[71] = 16'hfbcc;
RsqrteLUT[72] = 16'hfbc5;
RsqrteLUT[73] = 16'hfbbe;
RsqrteLUT[74] = 16'hfbb8;
RsqrteLUT[75] = 16'hfbb1;
RsqrteLUT[76] = 16'hfbab;
RsqrteLUT[77] = 16'hfba5;
RsqrteLUT[78] = 16'hfb9f;
RsqrteLUT[79] = 16'hfb99;
RsqrteLUT[80] = 16'hfb93;
RsqrteLUT[81] = 16'hfb8e;
RsqrteLUT[82] = 16'hfb88;
RsqrteLUT[83] = 16'hfb83;
RsqrteLUT[84] = 16'hfb7d;
RsqrteLUT[85] = 16'hfb78;
RsqrteLUT[86] = 16'hfb73;
RsqrteLUT[87] = 16'hfb6e;
RsqrteLUT[88] = 16'hfb69;
RsqrteLUT[89] = 16'hfb64;
RsqrteLUT[90] = 16'hfb5f;
RsqrteLUT[91] = 16'hfb5a;
RsqrteLUT[92] = 16'hfb56;
RsqrteLUT[93] = 16'hfb51;
RsqrteLUT[94] = 16'hfb4c;
RsqrteLUT[95] = 16'hfb48;
RsqrteLUT[96] = 16'hfb44;
RsqrteLUT[97] = 16'hfb3f;
RsqrteLUT[98] = 16'hfb3b;
RsqrteLUT[99] = 16'hfb37;
RsqrteLUT[100] = 16'hfb33;
RsqrteLUT[101] = 16'hfb2f;
RsqrteLUT[102] = 16'hfb2b;
RsqrteLUT[103] = 16'hfb27;
RsqrteLUT[104] = 16'hfb23;
RsqrteLUT[105] = 16'hfb1f;
RsqrteLUT[106] = 16'hfb1b;
RsqrteLUT[107] = 16'hfb17;
RsqrteLUT[108] = 16'hfb14;
RsqrteLUT[109] = 16'hfb10;
RsqrteLUT[110] = 16'hfb0d;
RsqrteLUT[111] = 16'hfb09;
RsqrteLUT[112] = 16'hfb06;
RsqrteLUT[113] = 16'hfb02;
RsqrteLUT[114] = 16'hfaff;
RsqrteLUT[115] = 16'hfafb;
RsqrteLUT[116] = 16'hfaf8;
RsqrteLUT[117] = 16'hfaf5;
RsqrteLUT[118] = 16'hfaf2;
RsqrteLUT[119] = 16'hfaee;
RsqrteLUT[120] = 16'hfaeb;
RsqrteLUT[121] = 16'hfae8;
RsqrteLUT[122] = 16'hfae5;
RsqrteLUT[123] = 16'hfae2;
RsqrteLUT[124] = 16'hfadf;
RsqrteLUT[125] = 16'hfadc;
RsqrteLUT[126] = 16'hfad9;
RsqrteLUT[127] = 16'hfad6;
RsqrteLUT[128] = 16'hfad4;
RsqrteLUT[129] = 16'hface;
RsqrteLUT[130] = 16'hfac9;
RsqrteLUT[131] = 16'hfac3;
RsqrteLUT[132] = 16'hfabe;
RsqrteLUT[133] = 16'hfab9;
RsqrteLUT[134] = 16'hfab4;
RsqrteLUT[135] = 16'hfaaf;
RsqrteLUT[136] = 16'hfaaa;
RsqrteLUT[137] = 16'hfaa5;
RsqrteLUT[138] = 16'hfaa1;
RsqrteLUT[139] = 16'hfa9c;
RsqrteLUT[140] = 16'hfa98;
RsqrteLUT[141] = 16'hfa94;
RsqrteLUT[142] = 16'hfa8f;
RsqrteLUT[143] = 16'hfa8b;
RsqrteLUT[144] = 16'hfa87;
RsqrteLUT[145] = 16'hfa83;
RsqrteLUT[146] = 16'hfa7f;
RsqrteLUT[147] = 16'hfa7b;
RsqrteLUT[148] = 16'hfa78;
RsqrteLUT[149] = 16'hfa74;
RsqrteLUT[150] = 16'hfa70;
RsqrteLUT[151] = 16'hfa6d;
RsqrteLUT[152] = 16'hfa69;
RsqrteLUT[153] = 16'hfa66;
RsqrteLUT[154] = 16'hfa62;
RsqrteLUT[155] = 16'hfa5f;
RsqrteLUT[156] = 16'hfa5b;
RsqrteLUT[157] = 16'hfa58;
RsqrteLUT[158] = 16'hfa55;
RsqrteLUT[159] = 16'hfa52;
RsqrteLUT[160] = 16'hfa4f;
RsqrteLUT[161] = 16'hfa4c;
RsqrteLUT[162] = 16'hfa49;
RsqrteLUT[163] = 16'hfa46;
RsqrteLUT[164] = 16'hfa43;
RsqrteLUT[165] = 16'hfa40;
RsqrteLUT[166] = 16'hfa3d;
RsqrteLUT[167] = 16'hfa3a;
RsqrteLUT[168] = 16'hfa38;
RsqrteLUT[169] = 16'hfa35;
RsqrteLUT[170] = 16'hfa32;
RsqrteLUT[171] = 16'hfa2f;
RsqrteLUT[172] = 16'hfa2d;
RsqrteLUT[173] = 16'hfa2a;
RsqrteLUT[174] = 16'hfa28;
RsqrteLUT[175] = 16'hfa25;
RsqrteLUT[176] = 16'hfa23;
RsqrteLUT[177] = 16'hfa20;
RsqrteLUT[178] = 16'hfa1e;
RsqrteLUT[179] = 16'hfa1c;
RsqrteLUT[180] = 16'hfa19;
RsqrteLUT[181] = 16'hfa17;
RsqrteLUT[182] = 16'hfa15;
RsqrteLUT[183] = 16'hfa13;
RsqrteLUT[184] = 16'hfa10;
RsqrteLUT[185] = 16'hfa0e;
RsqrteLUT[186] = 16'hfa0c;
RsqrteLUT[187] = 16'hfa0a;
RsqrteLUT[188] = 16'hfa08;
RsqrteLUT[189] = 16'hfa06;
RsqrteLUT[190] = 16'hfa04;
RsqrteLUT[191] = 16'hfa02;
RsqrteLUT[192] = 16'hfa00;
RsqrteLUT[193] = 16'hf9f8;
RsqrteLUT[194] = 16'hf9f0;
RsqrteLUT[195] = 16'hf9e8;
RsqrteLUT[196] = 16'hf9e1;
RsqrteLUT[197] = 16'hf9da;
RsqrteLUT[198] = 16'hf9d3;
RsqrteLUT[199] = 16'hf9cc;
RsqrteLUT[200] = 16'hf9c5;
RsqrteLUT[201] = 16'hf9be;
RsqrteLUT[202] = 16'hf9b8;
RsqrteLUT[203] = 16'hf9b1;
RsqrteLUT[204] = 16'hf9ab;
RsqrteLUT[205] = 16'hf9a5;
RsqrteLUT[206] = 16'hf99f;
RsqrteLUT[207] = 16'hf999;
RsqrteLUT[208] = 16'hf993;
RsqrteLUT[209] = 16'hf98e;
RsqrteLUT[210] = 16'hf988;
RsqrteLUT[211] = 16'hf983;
RsqrteLUT[212] = 16'hf97d;
RsqrteLUT[213] = 16'hf978;
RsqrteLUT[214] = 16'hf973;
RsqrteLUT[215] = 16'hf96e;
RsqrteLUT[216] = 16'hf969;
RsqrteLUT[217] = 16'hf964;
RsqrteLUT[218] = 16'hf95f;
RsqrteLUT[219] = 16'hf95a;
RsqrteLUT[220] = 16'hf956;
RsqrteLUT[221] = 16'hf951;
RsqrteLUT[222] = 16'hf94c;
RsqrteLUT[223] = 16'hf948;
RsqrteLUT[224] = 16'hf944;
RsqrteLUT[225] = 16'hf93f;
RsqrteLUT[226] = 16'hf93b;
RsqrteLUT[227] = 16'hf937;
RsqrteLUT[228] = 16'hf933;
RsqrteLUT[229] = 16'hf92f;
RsqrteLUT[230] = 16'hf92b;
RsqrteLUT[231] = 16'hf927;
RsqrteLUT[232] = 16'hf923;
RsqrteLUT[233] = 16'hf91f;
RsqrteLUT[234] = 16'hf91b;
RsqrteLUT[235] = 16'hf917;
RsqrteLUT[236] = 16'hf914;
RsqrteLUT[237] = 16'hf910;
RsqrteLUT[238] = 16'hf90d;
RsqrteLUT[239] = 16'hf909;
RsqrteLUT[240] = 16'hf906;
RsqrteLUT[241] = 16'hf902;
RsqrteLUT[242] = 16'hf8ff;
RsqrteLUT[243] = 16'hf8fb;
RsqrteLUT[244] = 16'hf8f8;
RsqrteLUT[245] = 16'hf8f5;
RsqrteLUT[246] = 16'hf8f2;
RsqrteLUT[247] = 16'hf8ee;
RsqrteLUT[248] = 16'hf8eb;
RsqrteLUT[249] = 16'hf8e8;
RsqrteLUT[250] = 16'hf8e5;
RsqrteLUT[251] = 16'hf8e2;
RsqrteLUT[252] = 16'hf8df;
RsqrteLUT[253] = 16'hf8dc;
RsqrteLUT[254] = 16'hf8d9;
RsqrteLUT[255] = 16'hf8d6;
RsqrteLUT[256] = 16'hf8d4;
RsqrteLUT[257] = 16'hf8ce;
RsqrteLUT[258] = 16'hf8c9;
RsqrteLUT[259] = 16'hf8c3;
RsqrteLUT[260] = 16'hf8be;
RsqrteLUT[261] = 16'hf8b9;
RsqrteLUT[262] = 16'hf8b4;
RsqrteLUT[263] = 16'hf8af;
RsqrteLUT[264] = 16'hf8aa;
RsqrteLUT[265] = 16'hf8a5;
RsqrteLUT[266] = 16'hf8a1;
RsqrteLUT[267] = 16'hf89c;
RsqrteLUT[268] = 16'hf898;
RsqrteLUT[269] = 16'hf894;
RsqrteLUT[270] = 16'hf88f;
RsqrteLUT[271] = 16'hf88b;
RsqrteLUT[272] = 16'hf887;
RsqrteLUT[273] = 16'hf883;
RsqrteLUT[274] = 16'hf87f;
RsqrteLUT[275] = 16'hf87b;
RsqrteLUT[276] = 16'hf878;
RsqrteLUT[277] = 16'hf874;
RsqrteLUT[278] = 16'hf870;
RsqrteLUT[279] = 16'hf86d;
RsqrteLUT[280] = 16'hf869;
RsqrteLUT[281] = 16'hf866;
RsqrteLUT[282] = 16'hf862;
RsqrteLUT[283] = 16'hf85f;
RsqrteLUT[284] = 16'hf85b;
RsqrteLUT[285] = 16'hf858;
RsqrteLUT[286] = 16'hf855;
RsqrteLUT[287] = 16'hf852;
RsqrteLUT[288] = 16'hf84f;
RsqrteLUT[289] = 16'hf84c;
RsqrteLUT[290] = 16'hf849;
RsqrteLUT[291] = 16'hf846;
RsqrteLUT[292] = 16'hf843;
RsqrteLUT[293] = 16'hf840;
RsqrteLUT[294] = 16'hf83d;
RsqrteLUT[295] = 16'hf83a;
RsqrteLUT[296] = 16'hf838;
RsqrteLUT[297] = 16'hf835;
RsqrteLUT[298] = 16'hf832;
RsqrteLUT[299] = 16'hf82f;
RsqrteLUT[300] = 16'hf82d;
RsqrteLUT[301] = 16'hf82a;
RsqrteLUT[302] = 16'hf828;
RsqrteLUT[303] = 16'hf825;
RsqrteLUT[304] = 16'hf823;
RsqrteLUT[305] = 16'hf820;
RsqrteLUT[306] = 16'hf81e;
RsqrteLUT[307] = 16'hf81c;
RsqrteLUT[308] = 16'hf819;
RsqrteLUT[309] = 16'hf817;
RsqrteLUT[310] = 16'hf815;
RsqrteLUT[311] = 16'hf813;
RsqrteLUT[312] = 16'hf810;
RsqrteLUT[313] = 16'hf80e;
RsqrteLUT[314] = 16'hf80c;
RsqrteLUT[315] = 16'hf80a;
RsqrteLUT[316] = 16'hf808;
RsqrteLUT[317] = 16'hf806;
RsqrteLUT[318] = 16'hf804;
RsqrteLUT[319] = 16'hf802;
RsqrteLUT[320] = 16'hf800;
RsqrteLUT[321] = 16'hf7f8;
RsqrteLUT[322] = 16'hf7f0;
RsqrteLUT[323] = 16'hf7e8;
RsqrteLUT[324] = 16'hf7e1;
RsqrteLUT[325] = 16'hf7da;
RsqrteLUT[326] = 16'hf7d3;
RsqrteLUT[327] = 16'hf7cc;
RsqrteLUT[328] = 16'hf7c5;
RsqrteLUT[329] = 16'hf7be;
RsqrteLUT[330] = 16'hf7b8;
RsqrteLUT[331] = 16'hf7b1;
RsqrteLUT[332] = 16'hf7ab;
RsqrteLUT[333] = 16'hf7a5;
RsqrteLUT[334] = 16'hf79f;
RsqrteLUT[335] = 16'hf799;
RsqrteLUT[336] = 16'hf793;
RsqrteLUT[337] = 16'hf78e;
RsqrteLUT[338] = 16'hf788;
RsqrteLUT[339] = 16'hf783;
RsqrteLUT[340] = 16'hf77d;
RsqrteLUT[341] = 16'hf778;
RsqrteLUT[342] = 16'hf773;
RsqrteLUT[343] = 16'hf76e;
RsqrteLUT[344] = 16'hf769;
RsqrteLUT[345] = 16'hf764;
RsqrteLUT[346] = 16'hf75f;
RsqrteLUT[347] = 16'hf75a;
RsqrteLUT[348] = 16'hf756;
RsqrteLUT[349] = 16'hf751;
RsqrteLUT[350] = 16'hf74c;
RsqrteLUT[351] = 16'hf748;
RsqrteLUT[352] = 16'hf744;
RsqrteLUT[353] = 16'hf73f;
RsqrteLUT[354] = 16'hf73b;
RsqrteLUT[355] = 16'hf737;
RsqrteLUT[356] = 16'hf733;
RsqrteLUT[357] = 16'hf72f;
RsqrteLUT[358] = 16'hf72b;
RsqrteLUT[359] = 16'hf727;
RsqrteLUT[360] = 16'hf723;
RsqrteLUT[361] = 16'hf71f;
RsqrteLUT[362] = 16'hf71b;
RsqrteLUT[363] = 16'hf717;
RsqrteLUT[364] = 16'hf714;
RsqrteLUT[365] = 16'hf710;
RsqrteLUT[366] = 16'hf70d;
RsqrteLUT[367] = 16'hf709;
RsqrteLUT[368] = 16'hf706;
RsqrteLUT[369] = 16'hf702;
RsqrteLUT[370] = 16'hf6ff;
RsqrteLUT[371] = 16'hf6fb;
RsqrteLUT[372] = 16'hf6f8;
RsqrteLUT[373] = 16'hf6f5;
RsqrteLUT[374] = 16'hf6f2;
RsqrteLUT[375] = 16'hf6ee;
RsqrteLUT[376] = 16'hf6eb;
RsqrteLUT[377] = 16'hf6e8;
RsqrteLUT[378] = 16'hf6e5;
RsqrteLUT[379] = 16'hf6e2;
RsqrteLUT[380] = 16'hf6df;
RsqrteLUT[381] = 16'hf6dc;
RsqrteLUT[382] = 16'hf6d9;
RsqrteLUT[383] = 16'hf6d6;
RsqrteLUT[384] = 16'hf6d4;
RsqrteLUT[385] = 16'hf6ce;
RsqrteLUT[386] = 16'hf6c9;
RsqrteLUT[387] = 16'hf6c3;
RsqrteLUT[388] = 16'hf6be;
RsqrteLUT[389] = 16'hf6b9;
RsqrteLUT[390] = 16'hf6b4;
RsqrteLUT[391] = 16'hf6af;
RsqrteLUT[392] = 16'hf6aa;
RsqrteLUT[393] = 16'hf6a5;
RsqrteLUT[394] = 16'hf6a1;
RsqrteLUT[395] = 16'hf69c;
RsqrteLUT[396] = 16'hf698;
RsqrteLUT[397] = 16'hf694;
RsqrteLUT[398] = 16'hf68f;
RsqrteLUT[399] = 16'hf68b;
RsqrteLUT[400] = 16'hf687;
RsqrteLUT[401] = 16'hf683;
RsqrteLUT[402] = 16'hf67f;
RsqrteLUT[403] = 16'hf67b;
RsqrteLUT[404] = 16'hf678;
RsqrteLUT[405] = 16'hf674;
RsqrteLUT[406] = 16'hf670;
RsqrteLUT[407] = 16'hf66d;
RsqrteLUT[408] = 16'hf669;
RsqrteLUT[409] = 16'hf666;
RsqrteLUT[410] = 16'hf662;
RsqrteLUT[411] = 16'hf65f;
RsqrteLUT[412] = 16'hf65b;
RsqrteLUT[413] = 16'hf658;
RsqrteLUT[414] = 16'hf655;
RsqrteLUT[415] = 16'hf652;
RsqrteLUT[416] = 16'hf64f;
RsqrteLUT[417] = 16'hf64c;
RsqrteLUT[418] = 16'hf649;
RsqrteLUT[419] = 16'hf646;
RsqrteLUT[420] = 16'hf643;
RsqrteLUT[421] = 16'hf640;
RsqrteLUT[422] = 16'hf63d;
RsqrteLUT[423] = 16'hf63a;
RsqrteLUT[424] = 16'hf638;
RsqrteLUT[425] = 16'hf635;
RsqrteLUT[426] = 16'hf632;
RsqrteLUT[427] = 16'hf62f;
RsqrteLUT[428] = 16'hf62d;
RsqrteLUT[429] = 16'hf62a;
RsqrteLUT[430] = 16'hf628;
RsqrteLUT[431] = 16'hf625;
RsqrteLUT[432] = 16'hf623;
RsqrteLUT[433] = 16'hf620;
RsqrteLUT[434] = 16'hf61e;
RsqrteLUT[435] = 16'hf61c;
RsqrteLUT[436] = 16'hf619;
RsqrteLUT[437] = 16'hf617;
RsqrteLUT[438] = 16'hf615;
RsqrteLUT[439] = 16'hf613;
RsqrteLUT[440] = 16'hf610;
RsqrteLUT[441] = 16'hf60e;
RsqrteLUT[442] = 16'hf60c;
RsqrteLUT[443] = 16'hf60a;
RsqrteLUT[444] = 16'hf608;
RsqrteLUT[445] = 16'hf606;
RsqrteLUT[446] = 16'hf604;
RsqrteLUT[447] = 16'hf602;
RsqrteLUT[448] = 16'hf600;
RsqrteLUT[449] = 16'hf5f8;
RsqrteLUT[450] = 16'hf5f0;
RsqrteLUT[451] = 16'hf5e8;
RsqrteLUT[452] = 16'hf5e1;
RsqrteLUT[453] = 16'hf5da;
RsqrteLUT[454] = 16'hf5d3;
RsqrteLUT[455] = 16'hf5cc;
RsqrteLUT[456] = 16'hf5c5;
RsqrteLUT[457] = 16'hf5be;
RsqrteLUT[458] = 16'hf5b8;
RsqrteLUT[459] = 16'hf5b1;
RsqrteLUT[460] = 16'hf5ab;
RsqrteLUT[461] = 16'hf5a5;
RsqrteLUT[462] = 16'hf59f;
RsqrteLUT[463] = 16'hf599;
RsqrteLUT[464] = 16'hf593;
RsqrteLUT[465] = 16'hf58e;
RsqrteLUT[466] = 16'hf588;
RsqrteLUT[467] = 16'hf583;
RsqrteLUT[468] = 16'hf57d;
RsqrteLUT[469] = 16'hf578;
RsqrteLUT[470] = 16'hf573;
RsqrteLUT[471] = 16'hf56e;
RsqrteLUT[472] = 16'hf569;
RsqrteLUT[473] = 16'hf564;
RsqrteLUT[474] = 16'hf55f;
RsqrteLUT[475] = 16'hf55a;
RsqrteLUT[476] = 16'hf556;
RsqrteLUT[477] = 16'hf551;
RsqrteLUT[478] = 16'hf54c;
RsqrteLUT[479] = 16'hf548;
RsqrteLUT[480] = 16'hf544;
RsqrteLUT[481] = 16'hf53f;
RsqrteLUT[482] = 16'hf53b;
RsqrteLUT[483] = 16'hf537;
RsqrteLUT[484] = 16'hf533;
RsqrteLUT[485] = 16'hf52f;
RsqrteLUT[486] = 16'hf52b;
RsqrteLUT[487] = 16'hf527;
RsqrteLUT[488] = 16'hf523;
RsqrteLUT[489] = 16'hf51f;
RsqrteLUT[490] = 16'hf51b;
RsqrteLUT[491] = 16'hf517;
RsqrteLUT[492] = 16'hf514;
RsqrteLUT[493] = 16'hf510;
RsqrteLUT[494] = 16'hf50d;
RsqrteLUT[495] = 16'hf509;
RsqrteLUT[496] = 16'hf506;
RsqrteLUT[497] = 16'hf502;
RsqrteLUT[498] = 16'hf4ff;
RsqrteLUT[499] = 16'hf4fb;
RsqrteLUT[500] = 16'hf4f8;
RsqrteLUT[501] = 16'hf4f5;
RsqrteLUT[502] = 16'hf4f2;
RsqrteLUT[503] = 16'hf4ee;
RsqrteLUT[504] = 16'hf4eb;
RsqrteLUT[505] = 16'hf4e8;
RsqrteLUT[506] = 16'hf4e5;
RsqrteLUT[507] = 16'hf4e2;
RsqrteLUT[508] = 16'hf4df;
RsqrteLUT[509] = 16'hf4dc;
RsqrteLUT[510] = 16'hf4d9;
RsqrteLUT[511] = 16'hf4d6;
RsqrteLUT[512] = 16'hf4d4;
RsqrteLUT[513] = 16'hf4ce;
RsqrteLUT[514] = 16'hf4c9;
RsqrteLUT[515] = 16'hf4c3;
RsqrteLUT[516] = 16'hf4be;
RsqrteLUT[517] = 16'hf4b9;
RsqrteLUT[518] = 16'hf4b4;
RsqrteLUT[519] = 16'hf4af;
RsqrteLUT[520] = 16'hf4aa;
RsqrteLUT[521] = 16'hf4a5;
RsqrteLUT[522] = 16'hf4a1;
RsqrteLUT[523] = 16'hf49c;
RsqrteLUT[524] = 16'hf498;
RsqrteLUT[525] = 16'hf494;
RsqrteLUT[526] = 16'hf48f;
RsqrteLUT[527] = 16'hf48b;
RsqrteLUT[528] = 16'hf487;
RsqrteLUT[529] = 16'hf483;
RsqrteLUT[530] = 16'hf47f;
RsqrteLUT[531] = 16'hf47b;
RsqrteLUT[532] = 16'hf478;
RsqrteLUT[533] = 16'hf474;
RsqrteLUT[534] = 16'hf470;
RsqrteLUT[535] = 16'hf46d;
RsqrteLUT[536] = 16'hf469;
RsqrteLUT[537] = 16'hf466;
RsqrteLUT[538] = 16'hf462;
RsqrteLUT[539] = 16'hf45f;
RsqrteLUT[540] = 16'hf45b;
RsqrteLUT[541] = 16'hf458;
RsqrteLUT[542] = 16'hf455;
RsqrteLUT[543] = 16'hf452;
RsqrteLUT[544] = 16'hf44f;
RsqrteLUT[545] = 16'hf44c;
RsqrteLUT[546] = 16'hf449;
RsqrteLUT[547] = 16'hf446;
RsqrteLUT[548] = 16'hf443;
RsqrteLUT[549] = 16'hf440;
RsqrteLUT[550] = 16'hf43d;
RsqrteLUT[551] = 16'hf43a;
RsqrteLUT[552] = 16'hf438;
RsqrteLUT[553] = 16'hf435;
RsqrteLUT[554] = 16'hf432;
RsqrteLUT[555] = 16'hf42f;
RsqrteLUT[556] = 16'hf42d;
RsqrteLUT[557] = 16'hf42a;
RsqrteLUT[558] = 16'hf428;
RsqrteLUT[559] = 16'hf425;
RsqrteLUT[560] = 16'hf423;
RsqrteLUT[561] = 16'hf420;
RsqrteLUT[562] = 16'hf41e;
RsqrteLUT[563] = 16'hf41c;
RsqrteLUT[564] = 16'hf419;
RsqrteLUT[565] = 16'hf417;
RsqrteLUT[566] = 16'hf415;
RsqrteLUT[567] = 16'hf413;
RsqrteLUT[568] = 16'hf410;
RsqrteLUT[569] = 16'hf40e;
RsqrteLUT[570] = 16'hf40c;
RsqrteLUT[571] = 16'hf40a;
RsqrteLUT[572] = 16'hf408;
RsqrteLUT[573] = 16'hf406;
RsqrteLUT[574] = 16'hf404;
RsqrteLUT[575] = 16'hf402;
RsqrteLUT[576] = 16'hf400;
RsqrteLUT[577] = 16'hf3f8;
RsqrteLUT[578] = 16'hf3f0;
RsqrteLUT[579] = 16'hf3e8;
RsqrteLUT[580] = 16'hf3e1;
RsqrteLUT[581] = 16'hf3da;
RsqrteLUT[582] = 16'hf3d3;
RsqrteLUT[583] = 16'hf3cc;
RsqrteLUT[584] = 16'hf3c5;
RsqrteLUT[585] = 16'hf3be;
RsqrteLUT[586] = 16'hf3b8;
RsqrteLUT[587] = 16'hf3b1;
RsqrteLUT[588] = 16'hf3ab;
RsqrteLUT[589] = 16'hf3a5;
RsqrteLUT[590] = 16'hf39f;
RsqrteLUT[591] = 16'hf399;
RsqrteLUT[592] = 16'hf393;
RsqrteLUT[593] = 16'hf38e;
RsqrteLUT[594] = 16'hf388;
RsqrteLUT[595] = 16'hf383;
RsqrteLUT[596] = 16'hf37d;
RsqrteLUT[597] = 16'hf378;
RsqrteLUT[598] = 16'hf373;
RsqrteLUT[599] = 16'hf36e;
RsqrteLUT[600] = 16'hf369;
RsqrteLUT[601] = 16'hf364;
RsqrteLUT[602] = 16'hf35f;
RsqrteLUT[603] = 16'hf35a;
RsqrteLUT[604] = 16'hf356;
RsqrteLUT[605] = 16'hf351;
RsqrteLUT[606] = 16'hf34c;
RsqrteLUT[607] = 16'hf348;
RsqrteLUT[608] = 16'hf344;
RsqrteLUT[609] = 16'hf33f;
RsqrteLUT[610] = 16'hf33b;
RsqrteLUT[611] = 16'hf337;
RsqrteLUT[612] = 16'hf333;
RsqrteLUT[613] = 16'hf32f;
RsqrteLUT[614] = 16'hf32b;
RsqrteLUT[615] = 16'hf327;
RsqrteLUT[616] = 16'hf323;
RsqrteLUT[617] = 16'hf31f;
RsqrteLUT[618] = 16'hf31b;
RsqrteLUT[619] = 16'hf317;
RsqrteLUT[620] = 16'hf314;
RsqrteLUT[621] = 16'hf310;
RsqrteLUT[622] = 16'hf30d;
RsqrteLUT[623] = 16'hf309;
RsqrteLUT[624] = 16'hf306;
RsqrteLUT[625] = 16'hf302;
RsqrteLUT[626] = 16'hf2ff;
RsqrteLUT[627] = 16'hf2fb;
RsqrteLUT[628] = 16'hf2f8;
RsqrteLUT[629] = 16'hf2f5;
RsqrteLUT[630] = 16'hf2f2;
RsqrteLUT[631] = 16'hf2ee;
RsqrteLUT[632] = 16'hf2eb;
RsqrteLUT[633] = 16'hf2e8;
RsqrteLUT[634] = 16'hf2e5;
RsqrteLUT[635] = 16'hf2e2;
RsqrteLUT[636] = 16'hf2df;
RsqrteLUT[637] = 16'hf2dc;
RsqrteLUT[638] = 16'hf2d9;
RsqrteLUT[639] = 16'hf2d6;
RsqrteLUT[640] = 16'hf2d4;
RsqrteLUT[641] = 16'hf2ce;
RsqrteLUT[642] = 16'hf2c9;
RsqrteLUT[643] = 16'hf2c3;
RsqrteLUT[644] = 16'hf2be;
RsqrteLUT[645] = 16'hf2b9;
RsqrteLUT[646] = 16'hf2b4;
RsqrteLUT[647] = 16'hf2af;
RsqrteLUT[648] = 16'hf2aa;
RsqrteLUT[649] = 16'hf2a5;
RsqrteLUT[650] = 16'hf2a1;
RsqrteLUT[651] = 16'hf29c;
RsqrteLUT[652] = 16'hf298;
RsqrteLUT[653] = 16'hf294;
RsqrteLUT[654] = 16'hf28f;
RsqrteLUT[655] = 16'hf28b;
RsqrteLUT[656] = 16'hf287;
RsqrteLUT[657] = 16'hf283;
RsqrteLUT[658] = 16'hf27f;
RsqrteLUT[659] = 16'hf27b;
RsqrteLUT[660] = 16'hf278;
RsqrteLUT[661] = 16'hf274;
RsqrteLUT[662] = 16'hf270;
RsqrteLUT[663] = 16'hf26d;
RsqrteLUT[664] = 16'hf269;
RsqrteLUT[665] = 16'hf266;
RsqrteLUT[666] = 16'hf262;
RsqrteLUT[667] = 16'hf25f;
RsqrteLUT[668] = 16'hf25b;
RsqrteLUT[669] = 16'hf258;
RsqrteLUT[670] = 16'hf255;
RsqrteLUT[671] = 16'hf252;
RsqrteLUT[672] = 16'hf24f;
RsqrteLUT[673] = 16'hf24c;
RsqrteLUT[674] = 16'hf249;
RsqrteLUT[675] = 16'hf246;
RsqrteLUT[676] = 16'hf243;
RsqrteLUT[677] = 16'hf240;
RsqrteLUT[678] = 16'hf23d;
RsqrteLUT[679] = 16'hf23a;
RsqrteLUT[680] = 16'hf238;
RsqrteLUT[681] = 16'hf235;
RsqrteLUT[682] = 16'hf232;
RsqrteLUT[683] = 16'hf22f;
RsqrteLUT[684] = 16'hf22d;
RsqrteLUT[685] = 16'hf22a;
RsqrteLUT[686] = 16'hf228;
RsqrteLUT[687] = 16'hf225;
RsqrteLUT[688] = 16'hf223;
RsqrteLUT[689] = 16'hf220;
RsqrteLUT[690] = 16'hf21e;
RsqrteLUT[691] = 16'hf21c;
RsqrteLUT[692] = 16'hf219;
RsqrteLUT[693] = 16'hf217;
RsqrteLUT[694] = 16'hf215;
RsqrteLUT[695] = 16'hf213;
RsqrteLUT[696] = 16'hf210;
RsqrteLUT[697] = 16'hf20e;
RsqrteLUT[698] = 16'hf20c;
RsqrteLUT[699] = 16'hf20a;
RsqrteLUT[700] = 16'hf208;
RsqrteLUT[701] = 16'hf206;
RsqrteLUT[702] = 16'hf204;
RsqrteLUT[703] = 16'hf202;
RsqrteLUT[704] = 16'hf200;
RsqrteLUT[705] = 16'hf1f8;
RsqrteLUT[706] = 16'hf1f0;
RsqrteLUT[707] = 16'hf1e8;
RsqrteLUT[708] = 16'hf1e1;
RsqrteLUT[709] = 16'hf1da;
RsqrteLUT[710] = 16'hf1d3;
RsqrteLUT[711] = 16'hf1cc;
RsqrteLUT[712] = 16'hf1c5;
RsqrteLUT[713] = 16'hf1be;
RsqrteLUT[714] = 16'hf1b8;
RsqrteLUT[715] = 16'hf1b1;
RsqrteLUT[716] = 16'hf1ab;
RsqrteLUT[717] = 16'hf1a5;
RsqrteLUT[718] = 16'hf19f;
RsqrteLUT[719] = 16'hf199;
RsqrteLUT[720] = 16'hf193;
RsqrteLUT[721] = 16'hf18e;
RsqrteLUT[722] = 16'hf188;
RsqrteLUT[723] = 16'hf183;
RsqrteLUT[724] = 16'hf17d;
RsqrteLUT[725] = 16'hf178;
RsqrteLUT[726] = 16'hf173;
RsqrteLUT[727] = 16'hf16e;
RsqrteLUT[728] = 16'hf169;
RsqrteLUT[729] = 16'hf164;
RsqrteLUT[730] = 16'hf15f;
RsqrteLUT[731] = 16'hf15a;
RsqrteLUT[732] = 16'hf156;
RsqrteLUT[733] = 16'hf151;
RsqrteLUT[734] = 16'hf14c;
RsqrteLUT[735] = 16'hf148;
RsqrteLUT[736] = 16'hf144;
RsqrteLUT[737] = 16'hf13f;
RsqrteLUT[738] = 16'hf13b;
RsqrteLUT[739] = 16'hf137;
RsqrteLUT[740] = 16'hf133;
RsqrteLUT[741] = 16'hf12f;
RsqrteLUT[742] = 16'hf12b;
RsqrteLUT[743] = 16'hf127;
RsqrteLUT[744] = 16'hf123;
RsqrteLUT[745] = 16'hf11f;
RsqrteLUT[746] = 16'hf11b;
RsqrteLUT[747] = 16'hf117;
RsqrteLUT[748] = 16'hf114;
RsqrteLUT[749] = 16'hf110;
RsqrteLUT[750] = 16'hf10d;
RsqrteLUT[751] = 16'hf109;
RsqrteLUT[752] = 16'hf106;
RsqrteLUT[753] = 16'hf102;
RsqrteLUT[754] = 16'hf0ff;
RsqrteLUT[755] = 16'hf0fb;
RsqrteLUT[756] = 16'hf0f8;
RsqrteLUT[757] = 16'hf0f5;
RsqrteLUT[758] = 16'hf0f2;
RsqrteLUT[759] = 16'hf0ee;
RsqrteLUT[760] = 16'hf0eb;
RsqrteLUT[761] = 16'hf0e8;
RsqrteLUT[762] = 16'hf0e5;
RsqrteLUT[763] = 16'hf0e2;
RsqrteLUT[764] = 16'hf0df;
RsqrteLUT[765] = 16'hf0dc;
RsqrteLUT[766] = 16'hf0d9;
RsqrteLUT[767] = 16'hf0d6;
RsqrteLUT[768] = 16'hf0d4;
RsqrteLUT[769] = 16'hf0ce;
RsqrteLUT[770] = 16'hf0c9;
RsqrteLUT[771] = 16'hf0c3;
RsqrteLUT[772] = 16'hf0be;
RsqrteLUT[773] = 16'hf0b9;
RsqrteLUT[774] = 16'hf0b4;
RsqrteLUT[775] = 16'hf0af;
RsqrteLUT[776] = 16'hf0aa;
RsqrteLUT[777] = 16'hf0a5;
RsqrteLUT[778] = 16'hf0a1;
RsqrteLUT[779] = 16'hf09c;
RsqrteLUT[780] = 16'hf098;
RsqrteLUT[781] = 16'hf094;
RsqrteLUT[782] = 16'hf08f;
RsqrteLUT[783] = 16'hf08b;
RsqrteLUT[784] = 16'hf087;
RsqrteLUT[785] = 16'hf083;
RsqrteLUT[786] = 16'hf07f;
RsqrteLUT[787] = 16'hf07b;
RsqrteLUT[788] = 16'hf078;
RsqrteLUT[789] = 16'hf074;
RsqrteLUT[790] = 16'hf070;
RsqrteLUT[791] = 16'hf06d;
RsqrteLUT[792] = 16'hf069;
RsqrteLUT[793] = 16'hf066;
RsqrteLUT[794] = 16'hf062;
RsqrteLUT[795] = 16'hf05f;
RsqrteLUT[796] = 16'hf05b;
RsqrteLUT[797] = 16'hf058;
RsqrteLUT[798] = 16'hf055;
RsqrteLUT[799] = 16'hf052;
RsqrteLUT[800] = 16'hf04f;
RsqrteLUT[801] = 16'hf04c;
RsqrteLUT[802] = 16'hf049;
RsqrteLUT[803] = 16'hf046;
RsqrteLUT[804] = 16'hf043;
RsqrteLUT[805] = 16'hf040;
RsqrteLUT[806] = 16'hf03d;
RsqrteLUT[807] = 16'hf03a;
RsqrteLUT[808] = 16'hf038;
RsqrteLUT[809] = 16'hf035;
RsqrteLUT[810] = 16'hf032;
RsqrteLUT[811] = 16'hf02f;
RsqrteLUT[812] = 16'hf02d;
RsqrteLUT[813] = 16'hf02a;
RsqrteLUT[814] = 16'hf028;
RsqrteLUT[815] = 16'hf025;
RsqrteLUT[816] = 16'hf023;
RsqrteLUT[817] = 16'hf020;
RsqrteLUT[818] = 16'hf01e;
RsqrteLUT[819] = 16'hf01c;
RsqrteLUT[820] = 16'hf019;
RsqrteLUT[821] = 16'hf017;
RsqrteLUT[822] = 16'hf015;
RsqrteLUT[823] = 16'hf013;
RsqrteLUT[824] = 16'hf010;
RsqrteLUT[825] = 16'hf00e;
RsqrteLUT[826] = 16'hf00c;
RsqrteLUT[827] = 16'hf00a;
RsqrteLUT[828] = 16'hf008;
RsqrteLUT[829] = 16'hf006;
RsqrteLUT[830] = 16'hf004;
RsqrteLUT[831] = 16'hf002;
RsqrteLUT[832] = 16'hf000;
RsqrteLUT[833] = 16'heff8;
RsqrteLUT[834] = 16'heff0;
RsqrteLUT[835] = 16'hefe8;
RsqrteLUT[836] = 16'hefe1;
RsqrteLUT[837] = 16'hefda;
RsqrteLUT[838] = 16'hefd3;
RsqrteLUT[839] = 16'hefcc;
RsqrteLUT[840] = 16'hefc5;
RsqrteLUT[841] = 16'hefbe;
RsqrteLUT[842] = 16'hefb8;
RsqrteLUT[843] = 16'hefb1;
RsqrteLUT[844] = 16'hefab;
RsqrteLUT[845] = 16'hefa5;
RsqrteLUT[846] = 16'hef9f;
RsqrteLUT[847] = 16'hef99;
RsqrteLUT[848] = 16'hef93;
RsqrteLUT[849] = 16'hef8e;
RsqrteLUT[850] = 16'hef88;
RsqrteLUT[851] = 16'hef83;
RsqrteLUT[852] = 16'hef7d;
RsqrteLUT[853] = 16'hef78;
RsqrteLUT[854] = 16'hef73;
RsqrteLUT[855] = 16'hef6e;
RsqrteLUT[856] = 16'hef69;
RsqrteLUT[857] = 16'hef64;
RsqrteLUT[858] = 16'hef5f;
RsqrteLUT[859] = 16'hef5a;
RsqrteLUT[860] = 16'hef56;
RsqrteLUT[861] = 16'hef51;
RsqrteLUT[862] = 16'hef4c;
RsqrteLUT[863] = 16'hef48;
RsqrteLUT[864] = 16'hef44;
RsqrteLUT[865] = 16'hef3f;
RsqrteLUT[866] = 16'hef3b;
RsqrteLUT[867] = 16'hef37;
RsqrteLUT[868] = 16'hef33;
RsqrteLUT[869] = 16'hef2f;
RsqrteLUT[870] = 16'hef2b;
RsqrteLUT[871] = 16'hef27;
RsqrteLUT[872] = 16'hef23;
RsqrteLUT[873] = 16'hef1f;
RsqrteLUT[874] = 16'hef1b;
RsqrteLUT[875] = 16'hef17;
RsqrteLUT[876] = 16'hef14;
RsqrteLUT[877] = 16'hef10;
RsqrteLUT[878] = 16'hef0d;
RsqrteLUT[879] = 16'hef09;
RsqrteLUT[880] = 16'hef06;
RsqrteLUT[881] = 16'hef02;
RsqrteLUT[882] = 16'heeff;
RsqrteLUT[883] = 16'heefb;
RsqrteLUT[884] = 16'heef8;
RsqrteLUT[885] = 16'heef5;
RsqrteLUT[886] = 16'heef2;
RsqrteLUT[887] = 16'heeee;
RsqrteLUT[888] = 16'heeeb;
RsqrteLUT[889] = 16'heee8;
RsqrteLUT[890] = 16'heee5;
RsqrteLUT[891] = 16'heee2;
RsqrteLUT[892] = 16'heedf;
RsqrteLUT[893] = 16'heedc;
RsqrteLUT[894] = 16'heed9;
RsqrteLUT[895] = 16'heed6;
RsqrteLUT[896] = 16'heed4;
RsqrteLUT[897] = 16'heece;
RsqrteLUT[898] = 16'heec9;
RsqrteLUT[899] = 16'heec3;
RsqrteLUT[900] = 16'heebe;
RsqrteLUT[901] = 16'heeb9;
RsqrteLUT[902] = 16'heeb4;
RsqrteLUT[903] = 16'heeaf;
RsqrteLUT[904] = 16'heeaa;
RsqrteLUT[905] = 16'heea5;
RsqrteLUT[906] = 16'heea1;
RsqrteLUT[907] = 16'hee9c;
RsqrteLUT[908] = 16'hee98;
RsqrteLUT[909] = 16'hee94;
RsqrteLUT[910] = 16'hee8f;
RsqrteLUT[911] = 16'hee8b;
RsqrteLUT[912] = 16'hee87;
RsqrteLUT[913] = 16'hee83;
RsqrteLUT[914] = 16'hee7f;
RsqrteLUT[915] = 16'hee7b;
RsqrteLUT[916] = 16'hee78;
RsqrteLUT[917] = 16'hee74;
RsqrteLUT[918] = 16'hee70;
RsqrteLUT[919] = 16'hee6d;
RsqrteLUT[920] = 16'hee69;
RsqrteLUT[921] = 16'hee66;
RsqrteLUT[922] = 16'hee62;
RsqrteLUT[923] = 16'hee5f;
RsqrteLUT[924] = 16'hee5b;
RsqrteLUT[925] = 16'hee58;
RsqrteLUT[926] = 16'hee55;
RsqrteLUT[927] = 16'hee52;
RsqrteLUT[928] = 16'hee4f;
RsqrteLUT[929] = 16'hee4c;
RsqrteLUT[930] = 16'hee49;
RsqrteLUT[931] = 16'hee46;
RsqrteLUT[932] = 16'hee43;
RsqrteLUT[933] = 16'hee40;
RsqrteLUT[934] = 16'hee3d;
RsqrteLUT[935] = 16'hee3a;
RsqrteLUT[936] = 16'hee38;
RsqrteLUT[937] = 16'hee35;
RsqrteLUT[938] = 16'hee32;
RsqrteLUT[939] = 16'hee2f;
RsqrteLUT[940] = 16'hee2d;
RsqrteLUT[941] = 16'hee2a;
RsqrteLUT[942] = 16'hee28;
RsqrteLUT[943] = 16'hee25;
RsqrteLUT[944] = 16'hee23;
RsqrteLUT[945] = 16'hee20;
RsqrteLUT[946] = 16'hee1e;
RsqrteLUT[947] = 16'hee1c;
RsqrteLUT[948] = 16'hee19;
RsqrteLUT[949] = 16'hee17;
RsqrteLUT[950] = 16'hee15;
RsqrteLUT[951] = 16'hee13;
RsqrteLUT[952] = 16'hee10;
RsqrteLUT[953] = 16'hee0e;
RsqrteLUT[954] = 16'hee0c;
RsqrteLUT[955] = 16'hee0a;
RsqrteLUT[956] = 16'hee08;
RsqrteLUT[957] = 16'hee06;
RsqrteLUT[958] = 16'hee04;
RsqrteLUT[959] = 16'hee02;
RsqrteLUT[960] = 16'hee00;
RsqrteLUT[961] = 16'hedf8;
RsqrteLUT[962] = 16'hedf0;
RsqrteLUT[963] = 16'hede8;
RsqrteLUT[964] = 16'hede1;
RsqrteLUT[965] = 16'hedda;
RsqrteLUT[966] = 16'hedd3;
RsqrteLUT[967] = 16'hedcc;
RsqrteLUT[968] = 16'hedc5;
RsqrteLUT[969] = 16'hedbe;
RsqrteLUT[970] = 16'hedb8;
RsqrteLUT[971] = 16'hedb1;
RsqrteLUT[972] = 16'hedab;
RsqrteLUT[973] = 16'heda5;
RsqrteLUT[974] = 16'hed9f;
RsqrteLUT[975] = 16'hed99;
RsqrteLUT[976] = 16'hed93;
RsqrteLUT[977] = 16'hed8e;
RsqrteLUT[978] = 16'hed88;
RsqrteLUT[979] = 16'hed83;
RsqrteLUT[980] = 16'hed7d;
RsqrteLUT[981] = 16'hed78;
RsqrteLUT[982] = 16'hed73;
RsqrteLUT[983] = 16'hed6e;
RsqrteLUT[984] = 16'hed69;
RsqrteLUT[985] = 16'hed64;
RsqrteLUT[986] = 16'hed5f;
RsqrteLUT[987] = 16'hed5a;
RsqrteLUT[988] = 16'hed56;
RsqrteLUT[989] = 16'hed51;
RsqrteLUT[990] = 16'hed4c;
RsqrteLUT[991] = 16'hed48;
RsqrteLUT[992] = 16'hed44;
RsqrteLUT[993] = 16'hed3f;
RsqrteLUT[994] = 16'hed3b;
RsqrteLUT[995] = 16'hed37;
RsqrteLUT[996] = 16'hed33;
RsqrteLUT[997] = 16'hed2f;
RsqrteLUT[998] = 16'hed2b;
RsqrteLUT[999] = 16'hed27;
RsqrteLUT[1000] = 16'hed23;
RsqrteLUT[1001] = 16'hed1f;
RsqrteLUT[1002] = 16'hed1b;
RsqrteLUT[1003] = 16'hed17;
RsqrteLUT[1004] = 16'hed14;
RsqrteLUT[1005] = 16'hed10;
RsqrteLUT[1006] = 16'hed0d;
RsqrteLUT[1007] = 16'hed09;
RsqrteLUT[1008] = 16'hed06;
RsqrteLUT[1009] = 16'hed02;
RsqrteLUT[1010] = 16'hecff;
RsqrteLUT[1011] = 16'hecfb;
RsqrteLUT[1012] = 16'hecf8;
RsqrteLUT[1013] = 16'hecf5;
RsqrteLUT[1014] = 16'hecf2;
RsqrteLUT[1015] = 16'hecee;
RsqrteLUT[1016] = 16'heceb;
RsqrteLUT[1017] = 16'hece8;
RsqrteLUT[1018] = 16'hece5;
RsqrteLUT[1019] = 16'hece2;
RsqrteLUT[1020] = 16'hecdf;
RsqrteLUT[1021] = 16'hecdc;
RsqrteLUT[1022] = 16'hecd9;
RsqrteLUT[1023] = 16'hecd6;
RsqrteLUT[1024] = 16'hecd4;
RsqrteLUT[1025] = 16'hecce;
RsqrteLUT[1026] = 16'hecc9;
RsqrteLUT[1027] = 16'hecc3;
RsqrteLUT[1028] = 16'hecbe;
RsqrteLUT[1029] = 16'hecb9;
RsqrteLUT[1030] = 16'hecb4;
RsqrteLUT[1031] = 16'hecaf;
RsqrteLUT[1032] = 16'hecaa;
RsqrteLUT[1033] = 16'heca5;
RsqrteLUT[1034] = 16'heca1;
RsqrteLUT[1035] = 16'hec9c;
RsqrteLUT[1036] = 16'hec98;
RsqrteLUT[1037] = 16'hec94;
RsqrteLUT[1038] = 16'hec8f;
RsqrteLUT[1039] = 16'hec8b;
RsqrteLUT[1040] = 16'hec87;
RsqrteLUT[1041] = 16'hec83;
RsqrteLUT[1042] = 16'hec7f;
RsqrteLUT[1043] = 16'hec7b;
RsqrteLUT[1044] = 16'hec78;
RsqrteLUT[1045] = 16'hec74;
RsqrteLUT[1046] = 16'hec70;
RsqrteLUT[1047] = 16'hec6d;
RsqrteLUT[1048] = 16'hec69;
RsqrteLUT[1049] = 16'hec66;
RsqrteLUT[1050] = 16'hec62;
RsqrteLUT[1051] = 16'hec5f;
RsqrteLUT[1052] = 16'hec5b;
RsqrteLUT[1053] = 16'hec58;
RsqrteLUT[1054] = 16'hec55;
RsqrteLUT[1055] = 16'hec52;
RsqrteLUT[1056] = 16'hec4f;
RsqrteLUT[1057] = 16'hec4c;
RsqrteLUT[1058] = 16'hec49;
RsqrteLUT[1059] = 16'hec46;
RsqrteLUT[1060] = 16'hec43;
RsqrteLUT[1061] = 16'hec40;
RsqrteLUT[1062] = 16'hec3d;
RsqrteLUT[1063] = 16'hec3a;
RsqrteLUT[1064] = 16'hec38;
RsqrteLUT[1065] = 16'hec35;
RsqrteLUT[1066] = 16'hec32;
RsqrteLUT[1067] = 16'hec2f;
RsqrteLUT[1068] = 16'hec2d;
RsqrteLUT[1069] = 16'hec2a;
RsqrteLUT[1070] = 16'hec28;
RsqrteLUT[1071] = 16'hec25;
RsqrteLUT[1072] = 16'hec23;
RsqrteLUT[1073] = 16'hec20;
RsqrteLUT[1074] = 16'hec1e;
RsqrteLUT[1075] = 16'hec1c;
RsqrteLUT[1076] = 16'hec19;
RsqrteLUT[1077] = 16'hec17;
RsqrteLUT[1078] = 16'hec15;
RsqrteLUT[1079] = 16'hec13;
RsqrteLUT[1080] = 16'hec10;
RsqrteLUT[1081] = 16'hec0e;
RsqrteLUT[1082] = 16'hec0c;
RsqrteLUT[1083] = 16'hec0a;
RsqrteLUT[1084] = 16'hec08;
RsqrteLUT[1085] = 16'hec06;
RsqrteLUT[1086] = 16'hec04;
RsqrteLUT[1087] = 16'hec02;
RsqrteLUT[1088] = 16'hec00;
RsqrteLUT[1089] = 16'hebf8;
RsqrteLUT[1090] = 16'hebf0;
RsqrteLUT[1091] = 16'hebe8;
RsqrteLUT[1092] = 16'hebe1;
RsqrteLUT[1093] = 16'hebda;
RsqrteLUT[1094] = 16'hebd3;
RsqrteLUT[1095] = 16'hebcc;
RsqrteLUT[1096] = 16'hebc5;
RsqrteLUT[1097] = 16'hebbe;
RsqrteLUT[1098] = 16'hebb8;
RsqrteLUT[1099] = 16'hebb1;
RsqrteLUT[1100] = 16'hebab;
RsqrteLUT[1101] = 16'heba5;
RsqrteLUT[1102] = 16'heb9f;
RsqrteLUT[1103] = 16'heb99;
RsqrteLUT[1104] = 16'heb93;
RsqrteLUT[1105] = 16'heb8e;
RsqrteLUT[1106] = 16'heb88;
RsqrteLUT[1107] = 16'heb83;
RsqrteLUT[1108] = 16'heb7d;
RsqrteLUT[1109] = 16'heb78;
RsqrteLUT[1110] = 16'heb73;
RsqrteLUT[1111] = 16'heb6e;
RsqrteLUT[1112] = 16'heb69;
RsqrteLUT[1113] = 16'heb64;
RsqrteLUT[1114] = 16'heb5f;
RsqrteLUT[1115] = 16'heb5a;
RsqrteLUT[1116] = 16'heb56;
RsqrteLUT[1117] = 16'heb51;
RsqrteLUT[1118] = 16'heb4c;
RsqrteLUT[1119] = 16'heb48;
RsqrteLUT[1120] = 16'heb44;
RsqrteLUT[1121] = 16'heb3f;
RsqrteLUT[1122] = 16'heb3b;
RsqrteLUT[1123] = 16'heb37;
RsqrteLUT[1124] = 16'heb33;
RsqrteLUT[1125] = 16'heb2f;
RsqrteLUT[1126] = 16'heb2b;
RsqrteLUT[1127] = 16'heb27;
RsqrteLUT[1128] = 16'heb23;
RsqrteLUT[1129] = 16'heb1f;
RsqrteLUT[1130] = 16'heb1b;
RsqrteLUT[1131] = 16'heb17;
RsqrteLUT[1132] = 16'heb14;
RsqrteLUT[1133] = 16'heb10;
RsqrteLUT[1134] = 16'heb0d;
RsqrteLUT[1135] = 16'heb09;
RsqrteLUT[1136] = 16'heb06;
RsqrteLUT[1137] = 16'heb02;
RsqrteLUT[1138] = 16'heaff;
RsqrteLUT[1139] = 16'heafb;
RsqrteLUT[1140] = 16'heaf8;
RsqrteLUT[1141] = 16'heaf5;
RsqrteLUT[1142] = 16'heaf2;
RsqrteLUT[1143] = 16'heaee;
RsqrteLUT[1144] = 16'heaeb;
RsqrteLUT[1145] = 16'heae8;
RsqrteLUT[1146] = 16'heae5;
RsqrteLUT[1147] = 16'heae2;
RsqrteLUT[1148] = 16'headf;
RsqrteLUT[1149] = 16'headc;
RsqrteLUT[1150] = 16'head9;
RsqrteLUT[1151] = 16'head6;
RsqrteLUT[1152] = 16'head4;
RsqrteLUT[1153] = 16'heace;
RsqrteLUT[1154] = 16'heac9;
RsqrteLUT[1155] = 16'heac3;
RsqrteLUT[1156] = 16'heabe;
RsqrteLUT[1157] = 16'heab9;
RsqrteLUT[1158] = 16'heab4;
RsqrteLUT[1159] = 16'heaaf;
RsqrteLUT[1160] = 16'heaaa;
RsqrteLUT[1161] = 16'heaa5;
RsqrteLUT[1162] = 16'heaa1;
RsqrteLUT[1163] = 16'hea9c;
RsqrteLUT[1164] = 16'hea98;
RsqrteLUT[1165] = 16'hea94;
RsqrteLUT[1166] = 16'hea8f;
RsqrteLUT[1167] = 16'hea8b;
RsqrteLUT[1168] = 16'hea87;
RsqrteLUT[1169] = 16'hea83;
RsqrteLUT[1170] = 16'hea7f;
RsqrteLUT[1171] = 16'hea7b;
RsqrteLUT[1172] = 16'hea78;
RsqrteLUT[1173] = 16'hea74;
RsqrteLUT[1174] = 16'hea70;
RsqrteLUT[1175] = 16'hea6d;
RsqrteLUT[1176] = 16'hea69;
RsqrteLUT[1177] = 16'hea66;
RsqrteLUT[1178] = 16'hea62;
RsqrteLUT[1179] = 16'hea5f;
RsqrteLUT[1180] = 16'hea5b;
RsqrteLUT[1181] = 16'hea58;
RsqrteLUT[1182] = 16'hea55;
RsqrteLUT[1183] = 16'hea52;
RsqrteLUT[1184] = 16'hea4f;
RsqrteLUT[1185] = 16'hea4c;
RsqrteLUT[1186] = 16'hea49;
RsqrteLUT[1187] = 16'hea46;
RsqrteLUT[1188] = 16'hea43;
RsqrteLUT[1189] = 16'hea40;
RsqrteLUT[1190] = 16'hea3d;
RsqrteLUT[1191] = 16'hea3a;
RsqrteLUT[1192] = 16'hea38;
RsqrteLUT[1193] = 16'hea35;
RsqrteLUT[1194] = 16'hea32;
RsqrteLUT[1195] = 16'hea2f;
RsqrteLUT[1196] = 16'hea2d;
RsqrteLUT[1197] = 16'hea2a;
RsqrteLUT[1198] = 16'hea28;
RsqrteLUT[1199] = 16'hea25;
RsqrteLUT[1200] = 16'hea23;
RsqrteLUT[1201] = 16'hea20;
RsqrteLUT[1202] = 16'hea1e;
RsqrteLUT[1203] = 16'hea1c;
RsqrteLUT[1204] = 16'hea19;
RsqrteLUT[1205] = 16'hea17;
RsqrteLUT[1206] = 16'hea15;
RsqrteLUT[1207] = 16'hea13;
RsqrteLUT[1208] = 16'hea10;
RsqrteLUT[1209] = 16'hea0e;
RsqrteLUT[1210] = 16'hea0c;
RsqrteLUT[1211] = 16'hea0a;
RsqrteLUT[1212] = 16'hea08;
RsqrteLUT[1213] = 16'hea06;
RsqrteLUT[1214] = 16'hea04;
RsqrteLUT[1215] = 16'hea02;
RsqrteLUT[1216] = 16'hea00;
RsqrteLUT[1217] = 16'he9f8;
RsqrteLUT[1218] = 16'he9f0;
RsqrteLUT[1219] = 16'he9e8;
RsqrteLUT[1220] = 16'he9e1;
RsqrteLUT[1221] = 16'he9da;
RsqrteLUT[1222] = 16'he9d3;
RsqrteLUT[1223] = 16'he9cc;
RsqrteLUT[1224] = 16'he9c5;
RsqrteLUT[1225] = 16'he9be;
RsqrteLUT[1226] = 16'he9b8;
RsqrteLUT[1227] = 16'he9b1;
RsqrteLUT[1228] = 16'he9ab;
RsqrteLUT[1229] = 16'he9a5;
RsqrteLUT[1230] = 16'he99f;
RsqrteLUT[1231] = 16'he999;
RsqrteLUT[1232] = 16'he993;
RsqrteLUT[1233] = 16'he98e;
RsqrteLUT[1234] = 16'he988;
RsqrteLUT[1235] = 16'he983;
RsqrteLUT[1236] = 16'he97d;
RsqrteLUT[1237] = 16'he978;
RsqrteLUT[1238] = 16'he973;
RsqrteLUT[1239] = 16'he96e;
RsqrteLUT[1240] = 16'he969;
RsqrteLUT[1241] = 16'he964;
RsqrteLUT[1242] = 16'he95f;
RsqrteLUT[1243] = 16'he95a;
RsqrteLUT[1244] = 16'he956;
RsqrteLUT[1245] = 16'he951;
RsqrteLUT[1246] = 16'he94c;
RsqrteLUT[1247] = 16'he948;
RsqrteLUT[1248] = 16'he944;
RsqrteLUT[1249] = 16'he93f;
RsqrteLUT[1250] = 16'he93b;
RsqrteLUT[1251] = 16'he937;
RsqrteLUT[1252] = 16'he933;
RsqrteLUT[1253] = 16'he92f;
RsqrteLUT[1254] = 16'he92b;
RsqrteLUT[1255] = 16'he927;
RsqrteLUT[1256] = 16'he923;
RsqrteLUT[1257] = 16'he91f;
RsqrteLUT[1258] = 16'he91b;
RsqrteLUT[1259] = 16'he917;
RsqrteLUT[1260] = 16'he914;
RsqrteLUT[1261] = 16'he910;
RsqrteLUT[1262] = 16'he90d;
RsqrteLUT[1263] = 16'he909;
RsqrteLUT[1264] = 16'he906;
RsqrteLUT[1265] = 16'he902;
RsqrteLUT[1266] = 16'he8ff;
RsqrteLUT[1267] = 16'he8fb;
RsqrteLUT[1268] = 16'he8f8;
RsqrteLUT[1269] = 16'he8f5;
RsqrteLUT[1270] = 16'he8f2;
RsqrteLUT[1271] = 16'he8ee;
RsqrteLUT[1272] = 16'he8eb;
RsqrteLUT[1273] = 16'he8e8;
RsqrteLUT[1274] = 16'he8e5;
RsqrteLUT[1275] = 16'he8e2;
RsqrteLUT[1276] = 16'he8df;
RsqrteLUT[1277] = 16'he8dc;
RsqrteLUT[1278] = 16'he8d9;
RsqrteLUT[1279] = 16'he8d6;
RsqrteLUT[1280] = 16'he8d4;
RsqrteLUT[1281] = 16'he8ce;
RsqrteLUT[1282] = 16'he8c9;
RsqrteLUT[1283] = 16'he8c3;
RsqrteLUT[1284] = 16'he8be;
RsqrteLUT[1285] = 16'he8b9;
RsqrteLUT[1286] = 16'he8b4;
RsqrteLUT[1287] = 16'he8af;
RsqrteLUT[1288] = 16'he8aa;
RsqrteLUT[1289] = 16'he8a5;
RsqrteLUT[1290] = 16'he8a1;
RsqrteLUT[1291] = 16'he89c;
RsqrteLUT[1292] = 16'he898;
RsqrteLUT[1293] = 16'he894;
RsqrteLUT[1294] = 16'he88f;
RsqrteLUT[1295] = 16'he88b;
RsqrteLUT[1296] = 16'he887;
RsqrteLUT[1297] = 16'he883;
RsqrteLUT[1298] = 16'he87f;
RsqrteLUT[1299] = 16'he87b;
RsqrteLUT[1300] = 16'he878;
RsqrteLUT[1301] = 16'he874;
RsqrteLUT[1302] = 16'he870;
RsqrteLUT[1303] = 16'he86d;
RsqrteLUT[1304] = 16'he869;
RsqrteLUT[1305] = 16'he866;
RsqrteLUT[1306] = 16'he862;
RsqrteLUT[1307] = 16'he85f;
RsqrteLUT[1308] = 16'he85b;
RsqrteLUT[1309] = 16'he858;
RsqrteLUT[1310] = 16'he855;
RsqrteLUT[1311] = 16'he852;
RsqrteLUT[1312] = 16'he84f;
RsqrteLUT[1313] = 16'he84c;
RsqrteLUT[1314] = 16'he849;
RsqrteLUT[1315] = 16'he846;
RsqrteLUT[1316] = 16'he843;
RsqrteLUT[1317] = 16'he840;
RsqrteLUT[1318] = 16'he83d;
RsqrteLUT[1319] = 16'he83a;
RsqrteLUT[1320] = 16'he838;
RsqrteLUT[1321] = 16'he835;
RsqrteLUT[1322] = 16'he832;
RsqrteLUT[1323] = 16'he82f;
RsqrteLUT[1324] = 16'he82d;
RsqrteLUT[1325] = 16'he82a;
RsqrteLUT[1326] = 16'he828;
RsqrteLUT[1327] = 16'he825;
RsqrteLUT[1328] = 16'he823;
RsqrteLUT[1329] = 16'he820;
RsqrteLUT[1330] = 16'he81e;
RsqrteLUT[1331] = 16'he81c;
RsqrteLUT[1332] = 16'he819;
RsqrteLUT[1333] = 16'he817;
RsqrteLUT[1334] = 16'he815;
RsqrteLUT[1335] = 16'he813;
RsqrteLUT[1336] = 16'he810;
RsqrteLUT[1337] = 16'he80e;
RsqrteLUT[1338] = 16'he80c;
RsqrteLUT[1339] = 16'he80a;
RsqrteLUT[1340] = 16'he808;
RsqrteLUT[1341] = 16'he806;
RsqrteLUT[1342] = 16'he804;
RsqrteLUT[1343] = 16'he802;
RsqrteLUT[1344] = 16'he800;
RsqrteLUT[1345] = 16'he7f8;
RsqrteLUT[1346] = 16'he7f0;
RsqrteLUT[1347] = 16'he7e8;
RsqrteLUT[1348] = 16'he7e1;
RsqrteLUT[1349] = 16'he7da;
RsqrteLUT[1350] = 16'he7d3;
RsqrteLUT[1351] = 16'he7cc;
RsqrteLUT[1352] = 16'he7c5;
RsqrteLUT[1353] = 16'he7be;
RsqrteLUT[1354] = 16'he7b8;
RsqrteLUT[1355] = 16'he7b1;
RsqrteLUT[1356] = 16'he7ab;
RsqrteLUT[1357] = 16'he7a5;
RsqrteLUT[1358] = 16'he79f;
RsqrteLUT[1359] = 16'he799;
RsqrteLUT[1360] = 16'he793;
RsqrteLUT[1361] = 16'he78e;
RsqrteLUT[1362] = 16'he788;
RsqrteLUT[1363] = 16'he783;
RsqrteLUT[1364] = 16'he77d;
RsqrteLUT[1365] = 16'he778;
RsqrteLUT[1366] = 16'he773;
RsqrteLUT[1367] = 16'he76e;
RsqrteLUT[1368] = 16'he769;
RsqrteLUT[1369] = 16'he764;
RsqrteLUT[1370] = 16'he75f;
RsqrteLUT[1371] = 16'he75a;
RsqrteLUT[1372] = 16'he756;
RsqrteLUT[1373] = 16'he751;
RsqrteLUT[1374] = 16'he74c;
RsqrteLUT[1375] = 16'he748;
RsqrteLUT[1376] = 16'he744;
RsqrteLUT[1377] = 16'he73f;
RsqrteLUT[1378] = 16'he73b;
RsqrteLUT[1379] = 16'he737;
RsqrteLUT[1380] = 16'he733;
RsqrteLUT[1381] = 16'he72f;
RsqrteLUT[1382] = 16'he72b;
RsqrteLUT[1383] = 16'he727;
RsqrteLUT[1384] = 16'he723;
RsqrteLUT[1385] = 16'he71f;
RsqrteLUT[1386] = 16'he71b;
RsqrteLUT[1387] = 16'he717;
RsqrteLUT[1388] = 16'he714;
RsqrteLUT[1389] = 16'he710;
RsqrteLUT[1390] = 16'he70d;
RsqrteLUT[1391] = 16'he709;
RsqrteLUT[1392] = 16'he706;
RsqrteLUT[1393] = 16'he702;
RsqrteLUT[1394] = 16'he6ff;
RsqrteLUT[1395] = 16'he6fb;
RsqrteLUT[1396] = 16'he6f8;
RsqrteLUT[1397] = 16'he6f5;
RsqrteLUT[1398] = 16'he6f2;
RsqrteLUT[1399] = 16'he6ee;
RsqrteLUT[1400] = 16'he6eb;
RsqrteLUT[1401] = 16'he6e8;
RsqrteLUT[1402] = 16'he6e5;
RsqrteLUT[1403] = 16'he6e2;
RsqrteLUT[1404] = 16'he6df;
RsqrteLUT[1405] = 16'he6dc;
RsqrteLUT[1406] = 16'he6d9;
RsqrteLUT[1407] = 16'he6d6;
RsqrteLUT[1408] = 16'he6d4;
RsqrteLUT[1409] = 16'he6ce;
RsqrteLUT[1410] = 16'he6c9;
RsqrteLUT[1411] = 16'he6c3;
RsqrteLUT[1412] = 16'he6be;
RsqrteLUT[1413] = 16'he6b9;
RsqrteLUT[1414] = 16'he6b4;
RsqrteLUT[1415] = 16'he6af;
RsqrteLUT[1416] = 16'he6aa;
RsqrteLUT[1417] = 16'he6a5;
RsqrteLUT[1418] = 16'he6a1;
RsqrteLUT[1419] = 16'he69c;
RsqrteLUT[1420] = 16'he698;
RsqrteLUT[1421] = 16'he694;
RsqrteLUT[1422] = 16'he68f;
RsqrteLUT[1423] = 16'he68b;
RsqrteLUT[1424] = 16'he687;
RsqrteLUT[1425] = 16'he683;
RsqrteLUT[1426] = 16'he67f;
RsqrteLUT[1427] = 16'he67b;
RsqrteLUT[1428] = 16'he678;
RsqrteLUT[1429] = 16'he674;
RsqrteLUT[1430] = 16'he670;
RsqrteLUT[1431] = 16'he66d;
RsqrteLUT[1432] = 16'he669;
RsqrteLUT[1433] = 16'he666;
RsqrteLUT[1434] = 16'he662;
RsqrteLUT[1435] = 16'he65f;
RsqrteLUT[1436] = 16'he65b;
RsqrteLUT[1437] = 16'he658;
RsqrteLUT[1438] = 16'he655;
RsqrteLUT[1439] = 16'he652;
RsqrteLUT[1440] = 16'he64f;
RsqrteLUT[1441] = 16'he64c;
RsqrteLUT[1442] = 16'he649;
RsqrteLUT[1443] = 16'he646;
RsqrteLUT[1444] = 16'he643;
RsqrteLUT[1445] = 16'he640;
RsqrteLUT[1446] = 16'he63d;
RsqrteLUT[1447] = 16'he63a;
RsqrteLUT[1448] = 16'he638;
RsqrteLUT[1449] = 16'he635;
RsqrteLUT[1450] = 16'he632;
RsqrteLUT[1451] = 16'he62f;
RsqrteLUT[1452] = 16'he62d;
RsqrteLUT[1453] = 16'he62a;
RsqrteLUT[1454] = 16'he628;
RsqrteLUT[1455] = 16'he625;
RsqrteLUT[1456] = 16'he623;
RsqrteLUT[1457] = 16'he620;
RsqrteLUT[1458] = 16'he61e;
RsqrteLUT[1459] = 16'he61c;
RsqrteLUT[1460] = 16'he619;
RsqrteLUT[1461] = 16'he617;
RsqrteLUT[1462] = 16'he615;
RsqrteLUT[1463] = 16'he613;
RsqrteLUT[1464] = 16'he610;
RsqrteLUT[1465] = 16'he60e;
RsqrteLUT[1466] = 16'he60c;
RsqrteLUT[1467] = 16'he60a;
RsqrteLUT[1468] = 16'he608;
RsqrteLUT[1469] = 16'he606;
RsqrteLUT[1470] = 16'he604;
RsqrteLUT[1471] = 16'he602;
RsqrteLUT[1472] = 16'he600;
RsqrteLUT[1473] = 16'he5f8;
RsqrteLUT[1474] = 16'he5f0;
RsqrteLUT[1475] = 16'he5e8;
RsqrteLUT[1476] = 16'he5e1;
RsqrteLUT[1477] = 16'he5da;
RsqrteLUT[1478] = 16'he5d3;
RsqrteLUT[1479] = 16'he5cc;
RsqrteLUT[1480] = 16'he5c5;
RsqrteLUT[1481] = 16'he5be;
RsqrteLUT[1482] = 16'he5b8;
RsqrteLUT[1483] = 16'he5b1;
RsqrteLUT[1484] = 16'he5ab;
RsqrteLUT[1485] = 16'he5a5;
RsqrteLUT[1486] = 16'he59f;
RsqrteLUT[1487] = 16'he599;
RsqrteLUT[1488] = 16'he593;
RsqrteLUT[1489] = 16'he58e;
RsqrteLUT[1490] = 16'he588;
RsqrteLUT[1491] = 16'he583;
RsqrteLUT[1492] = 16'he57d;
RsqrteLUT[1493] = 16'he578;
RsqrteLUT[1494] = 16'he573;
RsqrteLUT[1495] = 16'he56e;
RsqrteLUT[1496] = 16'he569;
RsqrteLUT[1497] = 16'he564;
RsqrteLUT[1498] = 16'he55f;
RsqrteLUT[1499] = 16'he55a;
RsqrteLUT[1500] = 16'he556;
RsqrteLUT[1501] = 16'he551;
RsqrteLUT[1502] = 16'he54c;
RsqrteLUT[1503] = 16'he548;
RsqrteLUT[1504] = 16'he544;
RsqrteLUT[1505] = 16'he53f;
RsqrteLUT[1506] = 16'he53b;
RsqrteLUT[1507] = 16'he537;
RsqrteLUT[1508] = 16'he533;
RsqrteLUT[1509] = 16'he52f;
RsqrteLUT[1510] = 16'he52b;
RsqrteLUT[1511] = 16'he527;
RsqrteLUT[1512] = 16'he523;
RsqrteLUT[1513] = 16'he51f;
RsqrteLUT[1514] = 16'he51b;
RsqrteLUT[1515] = 16'he517;
RsqrteLUT[1516] = 16'he514;
RsqrteLUT[1517] = 16'he510;
RsqrteLUT[1518] = 16'he50d;
RsqrteLUT[1519] = 16'he509;
RsqrteLUT[1520] = 16'he506;
RsqrteLUT[1521] = 16'he502;
RsqrteLUT[1522] = 16'he4ff;
RsqrteLUT[1523] = 16'he4fb;
RsqrteLUT[1524] = 16'he4f8;
RsqrteLUT[1525] = 16'he4f5;
RsqrteLUT[1526] = 16'he4f2;
RsqrteLUT[1527] = 16'he4ee;
RsqrteLUT[1528] = 16'he4eb;
RsqrteLUT[1529] = 16'he4e8;
RsqrteLUT[1530] = 16'he4e5;
RsqrteLUT[1531] = 16'he4e2;
RsqrteLUT[1532] = 16'he4df;
RsqrteLUT[1533] = 16'he4dc;
RsqrteLUT[1534] = 16'he4d9;
RsqrteLUT[1535] = 16'he4d6;
RsqrteLUT[1536] = 16'he4d4;
RsqrteLUT[1537] = 16'he4ce;
RsqrteLUT[1538] = 16'he4c9;
RsqrteLUT[1539] = 16'he4c3;
RsqrteLUT[1540] = 16'he4be;
RsqrteLUT[1541] = 16'he4b9;
RsqrteLUT[1542] = 16'he4b4;
RsqrteLUT[1543] = 16'he4af;
RsqrteLUT[1544] = 16'he4aa;
RsqrteLUT[1545] = 16'he4a5;
RsqrteLUT[1546] = 16'he4a1;
RsqrteLUT[1547] = 16'he49c;
RsqrteLUT[1548] = 16'he498;
RsqrteLUT[1549] = 16'he494;
RsqrteLUT[1550] = 16'he48f;
RsqrteLUT[1551] = 16'he48b;
RsqrteLUT[1552] = 16'he487;
RsqrteLUT[1553] = 16'he483;
RsqrteLUT[1554] = 16'he47f;
RsqrteLUT[1555] = 16'he47b;
RsqrteLUT[1556] = 16'he478;
RsqrteLUT[1557] = 16'he474;
RsqrteLUT[1558] = 16'he470;
RsqrteLUT[1559] = 16'he46d;
RsqrteLUT[1560] = 16'he469;
RsqrteLUT[1561] = 16'he466;
RsqrteLUT[1562] = 16'he462;
RsqrteLUT[1563] = 16'he45f;
RsqrteLUT[1564] = 16'he45b;
RsqrteLUT[1565] = 16'he458;
RsqrteLUT[1566] = 16'he455;
RsqrteLUT[1567] = 16'he452;
RsqrteLUT[1568] = 16'he44f;
RsqrteLUT[1569] = 16'he44c;
RsqrteLUT[1570] = 16'he449;
RsqrteLUT[1571] = 16'he446;
RsqrteLUT[1572] = 16'he443;
RsqrteLUT[1573] = 16'he440;
RsqrteLUT[1574] = 16'he43d;
RsqrteLUT[1575] = 16'he43a;
RsqrteLUT[1576] = 16'he438;
RsqrteLUT[1577] = 16'he435;
RsqrteLUT[1578] = 16'he432;
RsqrteLUT[1579] = 16'he42f;
RsqrteLUT[1580] = 16'he42d;
RsqrteLUT[1581] = 16'he42a;
RsqrteLUT[1582] = 16'he428;
RsqrteLUT[1583] = 16'he425;
RsqrteLUT[1584] = 16'he423;
RsqrteLUT[1585] = 16'he420;
RsqrteLUT[1586] = 16'he41e;
RsqrteLUT[1587] = 16'he41c;
RsqrteLUT[1588] = 16'he419;
RsqrteLUT[1589] = 16'he417;
RsqrteLUT[1590] = 16'he415;
RsqrteLUT[1591] = 16'he413;
RsqrteLUT[1592] = 16'he410;
RsqrteLUT[1593] = 16'he40e;
RsqrteLUT[1594] = 16'he40c;
RsqrteLUT[1595] = 16'he40a;
RsqrteLUT[1596] = 16'he408;
RsqrteLUT[1597] = 16'he406;
RsqrteLUT[1598] = 16'he404;
RsqrteLUT[1599] = 16'he402;
RsqrteLUT[1600] = 16'he400;
RsqrteLUT[1601] = 16'he3f8;
RsqrteLUT[1602] = 16'he3f0;
RsqrteLUT[1603] = 16'he3e8;
RsqrteLUT[1604] = 16'he3e1;
RsqrteLUT[1605] = 16'he3da;
RsqrteLUT[1606] = 16'he3d3;
RsqrteLUT[1607] = 16'he3cc;
RsqrteLUT[1608] = 16'he3c5;
RsqrteLUT[1609] = 16'he3be;
RsqrteLUT[1610] = 16'he3b8;
RsqrteLUT[1611] = 16'he3b1;
RsqrteLUT[1612] = 16'he3ab;
RsqrteLUT[1613] = 16'he3a5;
RsqrteLUT[1614] = 16'he39f;
RsqrteLUT[1615] = 16'he399;
RsqrteLUT[1616] = 16'he393;
RsqrteLUT[1617] = 16'he38e;
RsqrteLUT[1618] = 16'he388;
RsqrteLUT[1619] = 16'he383;
RsqrteLUT[1620] = 16'he37d;
RsqrteLUT[1621] = 16'he378;
RsqrteLUT[1622] = 16'he373;
RsqrteLUT[1623] = 16'he36e;
RsqrteLUT[1624] = 16'he369;
RsqrteLUT[1625] = 16'he364;
RsqrteLUT[1626] = 16'he35f;
RsqrteLUT[1627] = 16'he35a;
RsqrteLUT[1628] = 16'he356;
RsqrteLUT[1629] = 16'he351;
RsqrteLUT[1630] = 16'he34c;
RsqrteLUT[1631] = 16'he348;
RsqrteLUT[1632] = 16'he344;
RsqrteLUT[1633] = 16'he33f;
RsqrteLUT[1634] = 16'he33b;
RsqrteLUT[1635] = 16'he337;
RsqrteLUT[1636] = 16'he333;
RsqrteLUT[1637] = 16'he32f;
RsqrteLUT[1638] = 16'he32b;
RsqrteLUT[1639] = 16'he327;
RsqrteLUT[1640] = 16'he323;
RsqrteLUT[1641] = 16'he31f;
RsqrteLUT[1642] = 16'he31b;
RsqrteLUT[1643] = 16'he317;
RsqrteLUT[1644] = 16'he314;
RsqrteLUT[1645] = 16'he310;
RsqrteLUT[1646] = 16'he30d;
RsqrteLUT[1647] = 16'he309;
RsqrteLUT[1648] = 16'he306;
RsqrteLUT[1649] = 16'he302;
RsqrteLUT[1650] = 16'he2ff;
RsqrteLUT[1651] = 16'he2fb;
RsqrteLUT[1652] = 16'he2f8;
RsqrteLUT[1653] = 16'he2f5;
RsqrteLUT[1654] = 16'he2f2;
RsqrteLUT[1655] = 16'he2ee;
RsqrteLUT[1656] = 16'he2eb;
RsqrteLUT[1657] = 16'he2e8;
RsqrteLUT[1658] = 16'he2e5;
RsqrteLUT[1659] = 16'he2e2;
RsqrteLUT[1660] = 16'he2df;
RsqrteLUT[1661] = 16'he2dc;
RsqrteLUT[1662] = 16'he2d9;
RsqrteLUT[1663] = 16'he2d6;
RsqrteLUT[1664] = 16'he2d4;
RsqrteLUT[1665] = 16'he2ce;
RsqrteLUT[1666] = 16'he2c9;
RsqrteLUT[1667] = 16'he2c3;
RsqrteLUT[1668] = 16'he2be;
RsqrteLUT[1669] = 16'he2b9;
RsqrteLUT[1670] = 16'he2b4;
RsqrteLUT[1671] = 16'he2af;
RsqrteLUT[1672] = 16'he2aa;
RsqrteLUT[1673] = 16'he2a5;
RsqrteLUT[1674] = 16'he2a1;
RsqrteLUT[1675] = 16'he29c;
RsqrteLUT[1676] = 16'he298;
RsqrteLUT[1677] = 16'he294;
RsqrteLUT[1678] = 16'he28f;
RsqrteLUT[1679] = 16'he28b;
RsqrteLUT[1680] = 16'he287;
RsqrteLUT[1681] = 16'he283;
RsqrteLUT[1682] = 16'he27f;
RsqrteLUT[1683] = 16'he27b;
RsqrteLUT[1684] = 16'he278;
RsqrteLUT[1685] = 16'he274;
RsqrteLUT[1686] = 16'he270;
RsqrteLUT[1687] = 16'he26d;
RsqrteLUT[1688] = 16'he269;
RsqrteLUT[1689] = 16'he266;
RsqrteLUT[1690] = 16'he262;
RsqrteLUT[1691] = 16'he25f;
RsqrteLUT[1692] = 16'he25b;
RsqrteLUT[1693] = 16'he258;
RsqrteLUT[1694] = 16'he255;
RsqrteLUT[1695] = 16'he252;
RsqrteLUT[1696] = 16'he24f;
RsqrteLUT[1697] = 16'he24c;
RsqrteLUT[1698] = 16'he249;
RsqrteLUT[1699] = 16'he246;
RsqrteLUT[1700] = 16'he243;
RsqrteLUT[1701] = 16'he240;
RsqrteLUT[1702] = 16'he23d;
RsqrteLUT[1703] = 16'he23a;
RsqrteLUT[1704] = 16'he238;
RsqrteLUT[1705] = 16'he235;
RsqrteLUT[1706] = 16'he232;
RsqrteLUT[1707] = 16'he22f;
RsqrteLUT[1708] = 16'he22d;
RsqrteLUT[1709] = 16'he22a;
RsqrteLUT[1710] = 16'he228;
RsqrteLUT[1711] = 16'he225;
RsqrteLUT[1712] = 16'he223;
RsqrteLUT[1713] = 16'he220;
RsqrteLUT[1714] = 16'he21e;
RsqrteLUT[1715] = 16'he21c;
RsqrteLUT[1716] = 16'he219;
RsqrteLUT[1717] = 16'he217;
RsqrteLUT[1718] = 16'he215;
RsqrteLUT[1719] = 16'he213;
RsqrteLUT[1720] = 16'he210;
RsqrteLUT[1721] = 16'he20e;
RsqrteLUT[1722] = 16'he20c;
RsqrteLUT[1723] = 16'he20a;
RsqrteLUT[1724] = 16'he208;
RsqrteLUT[1725] = 16'he206;
RsqrteLUT[1726] = 16'he204;
RsqrteLUT[1727] = 16'he202;
RsqrteLUT[1728] = 16'he200;
RsqrteLUT[1729] = 16'he1f8;
RsqrteLUT[1730] = 16'he1f0;
RsqrteLUT[1731] = 16'he1e8;
RsqrteLUT[1732] = 16'he1e1;
RsqrteLUT[1733] = 16'he1da;
RsqrteLUT[1734] = 16'he1d3;
RsqrteLUT[1735] = 16'he1cc;
RsqrteLUT[1736] = 16'he1c5;
RsqrteLUT[1737] = 16'he1be;
RsqrteLUT[1738] = 16'he1b8;
RsqrteLUT[1739] = 16'he1b1;
RsqrteLUT[1740] = 16'he1ab;
RsqrteLUT[1741] = 16'he1a5;
RsqrteLUT[1742] = 16'he19f;
RsqrteLUT[1743] = 16'he199;
RsqrteLUT[1744] = 16'he193;
RsqrteLUT[1745] = 16'he18e;
RsqrteLUT[1746] = 16'he188;
RsqrteLUT[1747] = 16'he183;
RsqrteLUT[1748] = 16'he17d;
RsqrteLUT[1749] = 16'he178;
RsqrteLUT[1750] = 16'he173;
RsqrteLUT[1751] = 16'he16e;
RsqrteLUT[1752] = 16'he169;
RsqrteLUT[1753] = 16'he164;
RsqrteLUT[1754] = 16'he15f;
RsqrteLUT[1755] = 16'he15a;
RsqrteLUT[1756] = 16'he156;
RsqrteLUT[1757] = 16'he151;
RsqrteLUT[1758] = 16'he14c;
RsqrteLUT[1759] = 16'he148;
RsqrteLUT[1760] = 16'he144;
RsqrteLUT[1761] = 16'he13f;
RsqrteLUT[1762] = 16'he13b;
RsqrteLUT[1763] = 16'he137;
RsqrteLUT[1764] = 16'he133;
RsqrteLUT[1765] = 16'he12f;
RsqrteLUT[1766] = 16'he12b;
RsqrteLUT[1767] = 16'he127;
RsqrteLUT[1768] = 16'he123;
RsqrteLUT[1769] = 16'he11f;
RsqrteLUT[1770] = 16'he11b;
RsqrteLUT[1771] = 16'he117;
RsqrteLUT[1772] = 16'he114;
RsqrteLUT[1773] = 16'he110;
RsqrteLUT[1774] = 16'he10d;
RsqrteLUT[1775] = 16'he109;
RsqrteLUT[1776] = 16'he106;
RsqrteLUT[1777] = 16'he102;
RsqrteLUT[1778] = 16'he0ff;
RsqrteLUT[1779] = 16'he0fb;
RsqrteLUT[1780] = 16'he0f8;
RsqrteLUT[1781] = 16'he0f5;
RsqrteLUT[1782] = 16'he0f2;
RsqrteLUT[1783] = 16'he0ee;
RsqrteLUT[1784] = 16'he0eb;
RsqrteLUT[1785] = 16'he0e8;
RsqrteLUT[1786] = 16'he0e5;
RsqrteLUT[1787] = 16'he0e2;
RsqrteLUT[1788] = 16'he0df;
RsqrteLUT[1789] = 16'he0dc;
RsqrteLUT[1790] = 16'he0d9;
RsqrteLUT[1791] = 16'he0d6;
RsqrteLUT[1792] = 16'he0d4;
RsqrteLUT[1793] = 16'he0ce;
RsqrteLUT[1794] = 16'he0c9;
RsqrteLUT[1795] = 16'he0c3;
RsqrteLUT[1796] = 16'he0be;
RsqrteLUT[1797] = 16'he0b9;
RsqrteLUT[1798] = 16'he0b4;
RsqrteLUT[1799] = 16'he0af;
RsqrteLUT[1800] = 16'he0aa;
RsqrteLUT[1801] = 16'he0a5;
RsqrteLUT[1802] = 16'he0a1;
RsqrteLUT[1803] = 16'he09c;
RsqrteLUT[1804] = 16'he098;
RsqrteLUT[1805] = 16'he094;
RsqrteLUT[1806] = 16'he08f;
RsqrteLUT[1807] = 16'he08b;
RsqrteLUT[1808] = 16'he087;
RsqrteLUT[1809] = 16'he083;
RsqrteLUT[1810] = 16'he07f;
RsqrteLUT[1811] = 16'he07b;
RsqrteLUT[1812] = 16'he078;
RsqrteLUT[1813] = 16'he074;
RsqrteLUT[1814] = 16'he070;
RsqrteLUT[1815] = 16'he06d;
RsqrteLUT[1816] = 16'he069;
RsqrteLUT[1817] = 16'he066;
RsqrteLUT[1818] = 16'he062;
RsqrteLUT[1819] = 16'he05f;
RsqrteLUT[1820] = 16'he05b;
RsqrteLUT[1821] = 16'he058;
RsqrteLUT[1822] = 16'he055;
RsqrteLUT[1823] = 16'he052;
RsqrteLUT[1824] = 16'he04f;
RsqrteLUT[1825] = 16'he04c;
RsqrteLUT[1826] = 16'he049;
RsqrteLUT[1827] = 16'he046;
RsqrteLUT[1828] = 16'he043;
RsqrteLUT[1829] = 16'he040;
RsqrteLUT[1830] = 16'he03d;
RsqrteLUT[1831] = 16'he03a;
RsqrteLUT[1832] = 16'he038;
RsqrteLUT[1833] = 16'he035;
RsqrteLUT[1834] = 16'he032;
RsqrteLUT[1835] = 16'he02f;
RsqrteLUT[1836] = 16'he02d;
RsqrteLUT[1837] = 16'he02a;
RsqrteLUT[1838] = 16'he028;
RsqrteLUT[1839] = 16'he025;
RsqrteLUT[1840] = 16'he023;
RsqrteLUT[1841] = 16'he020;
RsqrteLUT[1842] = 16'he01e;
RsqrteLUT[1843] = 16'he01c;
RsqrteLUT[1844] = 16'he019;
RsqrteLUT[1845] = 16'he017;
RsqrteLUT[1846] = 16'he015;
RsqrteLUT[1847] = 16'he013;
RsqrteLUT[1848] = 16'he010;
RsqrteLUT[1849] = 16'he00e;
RsqrteLUT[1850] = 16'he00c;
RsqrteLUT[1851] = 16'he00a;
RsqrteLUT[1852] = 16'he008;
RsqrteLUT[1853] = 16'he006;
RsqrteLUT[1854] = 16'he004;
RsqrteLUT[1855] = 16'he002;
RsqrteLUT[1856] = 16'he000;
RsqrteLUT[1857] = 16'hdff8;
RsqrteLUT[1858] = 16'hdff0;
RsqrteLUT[1859] = 16'hdfe8;
RsqrteLUT[1860] = 16'hdfe1;
RsqrteLUT[1861] = 16'hdfda;
RsqrteLUT[1862] = 16'hdfd3;
RsqrteLUT[1863] = 16'hdfcc;
RsqrteLUT[1864] = 16'hdfc5;
RsqrteLUT[1865] = 16'hdfbe;
RsqrteLUT[1866] = 16'hdfb8;
RsqrteLUT[1867] = 16'hdfb1;
RsqrteLUT[1868] = 16'hdfab;
RsqrteLUT[1869] = 16'hdfa5;
RsqrteLUT[1870] = 16'hdf9f;
RsqrteLUT[1871] = 16'hdf99;
RsqrteLUT[1872] = 16'hdf93;
RsqrteLUT[1873] = 16'hdf8e;
RsqrteLUT[1874] = 16'hdf88;
RsqrteLUT[1875] = 16'hdf83;
RsqrteLUT[1876] = 16'hdf7d;
RsqrteLUT[1877] = 16'hdf78;
RsqrteLUT[1878] = 16'hdf73;
RsqrteLUT[1879] = 16'hdf6e;
RsqrteLUT[1880] = 16'hdf69;
RsqrteLUT[1881] = 16'hdf64;
RsqrteLUT[1882] = 16'hdf5f;
RsqrteLUT[1883] = 16'hdf5a;
RsqrteLUT[1884] = 16'hdf56;
RsqrteLUT[1885] = 16'hdf51;
RsqrteLUT[1886] = 16'hdf4c;
RsqrteLUT[1887] = 16'hdf48;
RsqrteLUT[1888] = 16'hdf44;
RsqrteLUT[1889] = 16'hdf3f;
RsqrteLUT[1890] = 16'hdf3b;
RsqrteLUT[1891] = 16'hdf37;
RsqrteLUT[1892] = 16'hdf33;
RsqrteLUT[1893] = 16'hdf2f;
RsqrteLUT[1894] = 16'hdf2b;
RsqrteLUT[1895] = 16'hdf27;
RsqrteLUT[1896] = 16'hdf23;
RsqrteLUT[1897] = 16'hdf1f;
RsqrteLUT[1898] = 16'hdf1b;
RsqrteLUT[1899] = 16'hdf17;
RsqrteLUT[1900] = 16'hdf14;
RsqrteLUT[1901] = 16'hdf10;
RsqrteLUT[1902] = 16'hdf0d;
RsqrteLUT[1903] = 16'hdf09;
RsqrteLUT[1904] = 16'hdf06;
RsqrteLUT[1905] = 16'hdf02;
RsqrteLUT[1906] = 16'hdeff;
RsqrteLUT[1907] = 16'hdefb;
RsqrteLUT[1908] = 16'hdef8;
RsqrteLUT[1909] = 16'hdef5;
RsqrteLUT[1910] = 16'hdef2;
RsqrteLUT[1911] = 16'hdeee;
RsqrteLUT[1912] = 16'hdeeb;
RsqrteLUT[1913] = 16'hdee8;
RsqrteLUT[1914] = 16'hdee5;
RsqrteLUT[1915] = 16'hdee2;
RsqrteLUT[1916] = 16'hdedf;
RsqrteLUT[1917] = 16'hdedc;
RsqrteLUT[1918] = 16'hded9;
RsqrteLUT[1919] = 16'hded6;
RsqrteLUT[1920] = 16'hded4;
RsqrteLUT[1921] = 16'hdece;
RsqrteLUT[1922] = 16'hdec9;
RsqrteLUT[1923] = 16'hdec3;
RsqrteLUT[1924] = 16'hdebe;
RsqrteLUT[1925] = 16'hdeb9;
RsqrteLUT[1926] = 16'hdeb4;
RsqrteLUT[1927] = 16'hdeaf;
RsqrteLUT[1928] = 16'hdeaa;
RsqrteLUT[1929] = 16'hdea5;
RsqrteLUT[1930] = 16'hdea1;
RsqrteLUT[1931] = 16'hde9c;
RsqrteLUT[1932] = 16'hde98;
RsqrteLUT[1933] = 16'hde94;
RsqrteLUT[1934] = 16'hde8f;
RsqrteLUT[1935] = 16'hde8b;
RsqrteLUT[1936] = 16'hde87;
RsqrteLUT[1937] = 16'hde83;
RsqrteLUT[1938] = 16'hde7f;
RsqrteLUT[1939] = 16'hde7b;
RsqrteLUT[1940] = 16'hde78;
RsqrteLUT[1941] = 16'hde74;
RsqrteLUT[1942] = 16'hde70;
RsqrteLUT[1943] = 16'hde6d;
RsqrteLUT[1944] = 16'hde69;
RsqrteLUT[1945] = 16'hde66;
RsqrteLUT[1946] = 16'hde62;
RsqrteLUT[1947] = 16'hde5f;
RsqrteLUT[1948] = 16'hde5b;
RsqrteLUT[1949] = 16'hde58;
RsqrteLUT[1950] = 16'hde55;
RsqrteLUT[1951] = 16'hde52;
RsqrteLUT[1952] = 16'hde4f;
RsqrteLUT[1953] = 16'hde4c;
RsqrteLUT[1954] = 16'hde49;
RsqrteLUT[1955] = 16'hde46;
RsqrteLUT[1956] = 16'hde43;
RsqrteLUT[1957] = 16'hde40;
RsqrteLUT[1958] = 16'hde3d;
RsqrteLUT[1959] = 16'hde3a;
RsqrteLUT[1960] = 16'hde38;
RsqrteLUT[1961] = 16'hde35;
RsqrteLUT[1962] = 16'hde32;
RsqrteLUT[1963] = 16'hde2f;
RsqrteLUT[1964] = 16'hde2d;
RsqrteLUT[1965] = 16'hde2a;
RsqrteLUT[1966] = 16'hde28;
RsqrteLUT[1967] = 16'hde25;
RsqrteLUT[1968] = 16'hde23;
RsqrteLUT[1969] = 16'hde20;
RsqrteLUT[1970] = 16'hde1e;
RsqrteLUT[1971] = 16'hde1c;
RsqrteLUT[1972] = 16'hde19;
RsqrteLUT[1973] = 16'hde17;
RsqrteLUT[1974] = 16'hde15;
RsqrteLUT[1975] = 16'hde13;
RsqrteLUT[1976] = 16'hde10;
RsqrteLUT[1977] = 16'hde0e;
RsqrteLUT[1978] = 16'hde0c;
RsqrteLUT[1979] = 16'hde0a;
RsqrteLUT[1980] = 16'hde08;
RsqrteLUT[1981] = 16'hde06;
RsqrteLUT[1982] = 16'hde04;
RsqrteLUT[1983] = 16'hde02;
RsqrteLUT[1984] = 16'hde00;
RsqrteLUT[1985] = 16'hddf8;
RsqrteLUT[1986] = 16'hddf0;
RsqrteLUT[1987] = 16'hdde8;
RsqrteLUT[1988] = 16'hdde1;
RsqrteLUT[1989] = 16'hddda;
RsqrteLUT[1990] = 16'hddd3;
RsqrteLUT[1991] = 16'hddcc;
RsqrteLUT[1992] = 16'hddc5;
RsqrteLUT[1993] = 16'hddbe;
RsqrteLUT[1994] = 16'hddb8;
RsqrteLUT[1995] = 16'hddb1;
RsqrteLUT[1996] = 16'hddab;
RsqrteLUT[1997] = 16'hdda5;
RsqrteLUT[1998] = 16'hdd9f;
RsqrteLUT[1999] = 16'hdd99;
RsqrteLUT[2000] = 16'hdd93;
RsqrteLUT[2001] = 16'hdd8e;
RsqrteLUT[2002] = 16'hdd88;
RsqrteLUT[2003] = 16'hdd83;
RsqrteLUT[2004] = 16'hdd7d;
RsqrteLUT[2005] = 16'hdd78;
RsqrteLUT[2006] = 16'hdd73;
RsqrteLUT[2007] = 16'hdd6e;
RsqrteLUT[2008] = 16'hdd69;
RsqrteLUT[2009] = 16'hdd64;
RsqrteLUT[2010] = 16'hdd5f;
RsqrteLUT[2011] = 16'hdd5a;
RsqrteLUT[2012] = 16'hdd56;
RsqrteLUT[2013] = 16'hdd51;
RsqrteLUT